# COMPLETE CHARACTERIZATION OF ALL UNEXTENDIBLE PRODUCT BASES ON 4 QUBITS
# Compiled by Nathaniel Johnston (nathaniel@njohnston.ca)
# See reference paper "N. Johnston. The structure of qubit unextendible product bases. Preprint, 2014."
#
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#
# This file gives a description of the 1446 distinct 4-qubit unextendible product bases, one on each line. The format given for a UPB is illustrated by the following example, which represents the (essentially unique) 7-state UPB on 4 qubits:
# [1,2,3:4,5 | 6:7], [1,4:7 | 2,6:3,5], [1,4:3,6 | 2,5:7], [1,6:2 | 3:7 | 4:5]
# Different qubits are described within square brackets [], so we can see that the above UPB lives in 4-qubit space. The numbers 1, 2, ..., 7 represent the 7 different states. States that are separated by commas (,) are equal to each other on that qubit. States that are separated by colons (:) are orthogonal to each other on that qubit. So, for example, 1,2,3:4,5 means that states 1, 2, and 3 are equal to each other and all orthogonal to states 4 and 5 (and states 4 and 5 are equal to each other). Vertical bars are just present for ease of visualization, and they indicate that there is no orthogonality relationship between the states that they separate. For the 7-state UPB above, this means that on qubit 1, states 1,2,3 are orthogonal to states 4 and 5, while state 6 is orthogonal to state 7. On qubit 2, states 1 and 4 are orthogonal to state 7, while states 2 and 6 are orthogonal to states 3 and 5. And so on for qubits 3 and 4.
# Various comments are provided throughout this file. All comment lines begin with a hash (#) symbol. All other lines describe the UPBs themselves.
#
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#
# 6-state UPBs (minimal, only 1 exists):
#
[1,2:3,4 | 5:6], [1,3:6 | 2,4:5], [4:6 | 3:5 | 1:2], [3:4 | 2:6 | 1:5]
#
# 7-state UPBs (only 1 exists):
#
[1,2,3:4,5 | 6:7], [1,4:7 | 2,6:3,5], [1,4:3,6 | 2,5:7], [1,6:2 | 3:7 | 4:5]
#
# 8-state UPBs (144 exist):
#
# The first 89 8-state UPBs arise as a form of (Shifts \otimes |0>) \cup (Shifts \otimes |1>):
#
[1,2,3,4:5,6,7,8], [3,7:4,8 | 1,5:2,6], [2,6:4,8 | 1,5:3,7], [2,6:3,7 | 1,5:4,8]
[1,2,3,4:5,6,7,8], [3,7:4,8 | 1,5:2,6], [2,6:3,7 | 1,5:4,8], [2,6:4,8 | 1,7:3,5]
[1,2,3,4:5,6,7,8], [3,7:4,8 | 1,5:2,6], [2,6:3,7 | 1,5:4,8], [2,8:4,6 | 1,7:3,5]
[1,2,3,4:5,6,7,8], [3,7:4,8 | 1,5:2,6], [2,6:3,7 | 1,5:4,8], [1,8:3,6 | 5:7 | 2:4]
[1,2,3,4:5,6,7,8], [3,7:4,8 | 1,5:2,6], [2,6:3,7 | 1,5:4,8], [1,5:3,7 | 6:8 | 2:4]
[1,2,3,4:5,6,7,8], [3,7:4,8 | 1,5:2,6], [2,6:3,7 | 1,5:4,8], [6:8 | 5:7 | 2:4 | 1:3]
[1,2,3,4:5,6,7,8], [3,8:4,7 | 1,5:2,6], [2,6:3,7 | 1,5:4,8], [6:8 | 5:7 | 2:4 | 1:3]
[1,2,3,4:5,6,7,8], [3,6:4,8 | 1,5:2,7], [2,6:3,7 | 1,5:4,8], [2,8:4,7 | 1,6:3,5]
[1,2,3,4:5,6,7,8], [3,8:4,6 | 1,5:2,7], [2,6:3,7 | 1,5:4,8], [2,7:4,8 | 1,6:3,5]
[1,2,3,4:5,6,7,8], [3,8:4,6 | 1,5:2,7], [2,6:3,7 | 1,5:4,8], [1,7:3,8 | 5:6 | 2:4]
[1,2,3,4:5,6,7,8], [3,8:4,6 | 1,5:2,7], [2,6:3,7 | 1,5:4,8], [1,6:3,5 | 7:8 | 2:4]
[1,2,3,4:5,6,7,8], [2,7:4,8 | 1,5:3,6], [2,6:3,7 | 1,5:4,8], [3,6:4,8 | 5:7 | 1:2]
[1,2,3,4:5,6,7,8], [2,6:4,8 | 1,5:3,7], [2,6:3,7 | 1,5:4,8], [3,8:4,7 | 5:6 | 1:2]
[1,2,3,4:5,6,7,8], [2,8:4,6 | 1,5:3,7], [2,6:3,7 | 1,5:4,8], [3,8:4,7 | 5:6 | 1:2]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [3,7:4,8 | 1,6:2,5], [2,6:4,8 | 1,7:3,5]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [3,7:4,8 | 1,6:2,5], [1,6:3,8 | 5:7 | 2:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [3,7:4,8 | 1,6:2,5], [1,8:3,6 | 5:7 | 2:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [3,8:4,7 | 1,6:2,5], [2,8:4,6 | 1,7:3,5]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [3,8:4,7 | 1,6:2,5], [2,7:4,5 | 1,8:3,6]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [3,8:4,7 | 1,6:2,5], [1,8:3,6 | 5:7 | 2:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [3,8:4,7 | 1,6:2,5], [6:8 | 5:7 | 2:4 | 1:3]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [3,5:4,7 | 1,6:2,8], [2,8:4,7 | 1,6:3,5]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [3,7:4,5 | 1,6:2,8], [2,7:4,8 | 1,6:3,5]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [3,7:4,5 | 1,6:2,8], [2,8:4,7 | 1,6:3,5]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [3,7:4,5 | 1,6:2,8], [1,8:3,7 | 5:6 | 2:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [2,7:4,8 | 1,6:3,5], [3,6:4,8 | 1,7:2,5]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [2,7:4,8 | 1,6:3,5], [3,8:4,6 | 1,7:2,5]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [2,8:4,7 | 1,6:3,5], [3,8:4,6 | 1,7:2,5]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [2,5:4,7 | 1,6:3,8], [3,5:4,6 | 1,7:2,8]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [2,5:4,7 | 1,6:3,8], [1,5:2,6 | 7:8 | 3:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [2,7:4,5 | 1,6:3,8], [1,5:2,6 | 7:8 | 3:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [2,7:4,5 | 1,6:3,8], [1,6:2,5 | 7:8 | 3:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [3,6:4,8 | 1,7:2,5], [1,5:3,6 | 7:8 | 2:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [3,6:4,8 | 1,7:2,5], [1,6:3,5 | 7:8 | 2:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [3,8:4,6 | 1,7:2,5], [1,5:3,6 | 7:8 | 2:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [3,8:4,6 | 1,7:2,5], [1,6:3,5 | 7:8 | 2:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [3,5:4,6 | 1,7:2,8], [2,6:4,8 | 1,7:3,5]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [3,5:4,6 | 1,7:2,8], [2,8:4,6 | 1,7:3,5]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [3,5:4,6 | 1,7:2,8], [1,6:3,8 | 5:7 | 2:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [3,5:4,6 | 1,7:2,8], [1,8:3,6 | 5:7 | 2:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [3,5:4,6 | 1,7:2,8], [6:8 | 5:7 | 2:4 | 1:3]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [3,6:4,5 | 1,7:2,8], [2,8:4,6 | 1,7:3,5]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [3,5:4,7 | 1,8:2,6], [7:8 | 5:6 | 2:4 | 1:3]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [3,5:4,6 | 1,8:2,7], [6:8 | 5:7 | 2:4 | 1:3]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [3,6:4,5 | 1,8:2,7], [1,6:3,8 | 5:7 | 2:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [3,6:4,5 | 1,8:2,7], [1,8:3,6 | 5:7 | 2:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [3,6:4,5 | 1,8:2,7], [1,5:3,7 | 6:8 | 2:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [2,6:4,5 | 7:8 | 1:3], [1,8:2,6 | 5:7 | 3:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [1,7:3,8 | 5:6 | 2:4], [1,6:2,8 | 5:7 | 3:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [1,7:3,8 | 5:6 | 2:4], [1,8:2,6 | 5:7 | 3:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [1,8:3,7 | 5:6 | 2:4], [1,8:2,6 | 5:7 | 3:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [1,6:3,8 | 5:7 | 2:4], [1,7:2,8 | 5:6 | 3:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [1,6:3,8 | 5:7 | 2:4], [7:8 | 5:6 | 3:4 | 1:2]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [1,8:3,6 | 5:7 | 2:4], [1,7:2,8 | 5:6 | 3:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [1,8:3,6 | 5:7 | 2:4], [1,8:2,7 | 5:6 | 3:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [1,5:3,7 | 6:8 | 2:4], [1,7:2,8 | 5:6 | 3:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [1,5:3,7 | 6:8 | 2:4], [1,8:2,7 | 5:6 | 3:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [1,5:3,7 | 6:8 | 2:4], [1,5:2,6 | 7:8 | 3:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [1,5:3,7 | 6:8 | 2:4], [1,6:2,5 | 7:8 | 3:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [1,7:3,5 | 6:8 | 2:4], [1,7:2,8 | 5:6 | 3:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [1,7:3,5 | 6:8 | 2:4], [1,8:2,7 | 5:6 | 3:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [1,7:3,5 | 6:8 | 2:4], [1,6:2,5 | 7:8 | 3:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [1,7:3,5 | 6:8 | 2:4], [7:8 | 5:6 | 3:4 | 1:2]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [1,5:3,6 | 7:8 | 2:4], [1,8:2,6 | 5:7 | 3:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [1,5:3,6 | 7:8 | 2:4], [1,7:2,5 | 6:8 | 3:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [1,6:3,5 | 7:8 | 2:4], [1,6:2,8 | 5:7 | 3:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [1,6:3,5 | 7:8 | 2:4], [1,8:2,6 | 5:7 | 3:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [1,6:3,5 | 7:8 | 2:4], [1,7:2,5 | 6:8 | 3:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [1,8:2,7 | 5:6 | 3:4], [6:8 | 5:7 | 2:4 | 1:3]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [1,5:2,7 | 6:8 | 3:4], [7:8 | 5:6 | 2:4 | 1:3]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [1,7:2,5 | 6:8 | 3:4], [7:8 | 5:6 | 2:4 | 1:3]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [1,5:2,6 | 7:8 | 3:4], [6:8 | 5:7 | 2:4 | 1:3]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [7:8 | 5:6 | 3:4 | 1:2], [6:8 | 5:7 | 2:4 | 1:3]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 1,5:4,8], [6:8 | 5:7 | 3:4 | 1:2], [7:8 | 5:6 | 2:4 | 1:3]
[1,2,3,4:5,6,7,8], [3,7:4,5 | 6:8 | 1:2], [2,6:3,7 | 5:8 | 1:4], [1,8:3,7 | 5:6 | 2:4]
[1,2,3,4:5,6,7,8], [3,5:4,6 | 7:8 | 1:2], [2,6:3,7 | 5:8 | 1:4], [1,6:3,8 | 5:7 | 2:4]
[1,2,3,4:5,6,7,8], [3,6:4,5 | 7:8 | 1:2], [2,6:3,7 | 5:8 | 1:4], [1,6:3,8 | 5:7 | 2:4]
[1,2,3,4:5,6,7,8], [3,6:4,5 | 7:8 | 1:2], [2,6:3,7 | 5:8 | 1:4], [1,8:3,6 | 5:7 | 2:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 5:8 | 1:4], [1,8:3,7 | 5:6 | 2:4], [1,8:2,6 | 5:7 | 3:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 5:8 | 1:4], [1,8:3,6 | 5:7 | 2:4], [1,6:2,5 | 7:8 | 3:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 5:8 | 1:4], [1,5:3,7 | 6:8 | 2:4], [1,7:2,8 | 5:6 | 3:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 5:8 | 1:4], [1,7:3,5 | 6:8 | 2:4], [1,5:2,6 | 7:8 | 3:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 5:8 | 1:4], [1,7:3,5 | 6:8 | 2:4], [1,6:2,5 | 7:8 | 3:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 5:8 | 1:4], [1,6:3,5 | 7:8 | 2:4], [1,7:2,5 | 6:8 | 3:4]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 5:8 | 1:4], [1,6:3,5 | 7:8 | 2:4], [6:8 | 5:7 | 3:4 | 1:2]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 5:8 | 1:4], [1,6:2,8 | 5:7 | 3:4], [7:8 | 5:6 | 2:4 | 1:3]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 5:8 | 1:4], [1,8:2,6 | 5:7 | 3:4], [7:8 | 5:6 | 2:4 | 1:3]
[1,2,3,4:5,6,7,8], [2,6:3,7 | 5:8 | 1:4], [6:8 | 5:7 | 3:4 | 1:2], [7:8 | 5:6 | 2:4 | 1:3]
[1,2,3,4:5,6,7,8], [6:8 | 5:7 | 3:4 | 1:2], [7:8 | 5:6 | 2:4 | 1:3], [6:7 | 5:8 | 2:3 | 1:4]
#
# The remaining 55 8-state UPBs are different from (Shifts \otimes |0>) \cup (Shifts \otimes |1>):
#
[1,7:2,3,6 | 4:5,8], [2,3,5:6,8 | 1,4:7], [1,2,3:4,5 | 6,7:8], [2,5:3,7 | 4:6 | 1:8]
[1,7:2,3,6 | 4:5,8], [2,3,5:6,8 | 1,4:7], [1,2,3:4,5 | 6,7:8], [5:7 | 4:6 | 2:3 | 1:8]
[5,6,7:8 | 1,2,3:4], [2,5:3,6 | 1,4:7,8], [3,4:6,8 | 1,7:2,5], [2,4:5,8 | 1,7:3,6]
[1,2,4,6:3,8 | 5:7], [1,2,3,6:4,7 | 5:8], [1,2,3,4:5,6 | 7:8], [1,7:2,4 | 5:6 | 3:8]
[1,2,4,6:3,8 | 5:7], [1,2,3,6:4,7 | 5:8], [1,2,3,4:5,6 | 7:8], [5:6 | 4:7 | 3:8 | 1:2]
[1,2,3,6:4,7 | 5:8], [1,2,3,4:5,6 | 7:8], [1,5:3,7 | 2,4,6:8], [1,3:2,8 | 5:6 | 4:7]
[1,2,3,6:4,7 | 5:8], [1,2,3,4:5,6 | 7:8], [2,4,6:8 | 5:7 | 1:3], [1,3:2,8 | 5:6 | 4:7]
[1,2,3:4,5,6 | 7:8], [2,5,7:3,6 | 1,4:8], [1,4:2,5,7 | 3,6:8], [2,5:7,8 | 1,6:3,4]
[1,2,3:4,5,6 | 7:8], [2,5,7:3,6 | 1,4:8], [1,4:2,5,7 | 3,6:8], [2,5:7,8 | 4:6 | 1:3]
[1,2,3:4,5,6 | 7:8], [3,6:7,8 | 1,4:2,5], [2,5:7,8 | 1,4:3,6], [2,5:3,6 | 1,4:7,8]
[1,2,3:4,5,6 | 7:8], [3,6:7,8 | 1,4:2,5], [2,5:7,8 | 1,4:3,6], [1,4:7,8 | 5:6 | 2:3]
[1,2,3:4,5,6 | 7:8], [3,6:7,8 | 1,4:2,5], [2,5:3,6 | 1,4:7,8], [2,5:7,8 | 1,6:3,4]
[1,2,3:4,5,6 | 7:8], [3,5:7,8 | 1,4:2,6], [2,5:3,6 | 1,4:7,8], [2,6:7,8 | 1,5:3,4]
[1,2,3:4,5,6 | 7:8], [3,5:6,8 | 1,4:2,7], [2,7:3,5 | 1,4:6,8], [2,6:7,8 | 1,5:3,4]
[1,2,3:4,5,6 | 7:8], [2,6:7,8 | 1,4:3,5], [2,5:3,6 | 1,4:7,8], [3,5:7,8 | 4:6 | 1:2]
[1,2,3:4,5,6 | 7:8], [2,5:7,8 | 1,4:3,6], [3,6:7,8 | 4:5 | 1:2], [1,4:7,8 | 5:6 | 2:3]
[1,2,3:4,5,6 | 7:8], [2,5:7,8 | 1,4:3,6], [3,4:7,8 | 5:6 | 1:2], [1,6:7,8 | 4:5 | 2:3]
[1,2,3:4,5,6 | 7:8], [2,5:6,8 | 1,4:3,7], [2,5:3,7 | 1,4:6,8], [3,6:7,8 | 4:5 | 1:2]
[1,2,3:4,5,6 | 7:8], [2,6:5,8 | 1,4:3,7], [2,7:3,5 | 1,4:6,8], [3,5:4,8 | 1,7:2,6]
[1,2,3:4,5,6 | 7:8], [2,7:3,5 | 1,4:6,8], [2,5:4,8 | 1,6:3,7], [3,6:5,8 | 1,7:2,4]
[1,2,3:4,5,6 | 7:8], [2,5:3,6 | 1,4:7,8], [2,6:7,8 | 1,5:3,4], [3,5:7,8 | 1,6:2,4]
[1,2,3:4,5,6 | 7:8], [2,5:3,6 | 1,4:7,8], [3,5:7,8 | 1,6:2,4], [2,6:7,8 | 4:5 | 1:3]
[1,2,3:4,5,6 | 7:8], [2,5:3,6 | 1,4:7,8], [3,6:4,8 | 1,7:2,5], [2,5:4,8 | 1,7:3,6]
[1,2,3:4,5,6 | 7:8], [3,6:7,8 | 4:5 | 1:2], [2,5:7,8 | 4:6 | 1:3], [1,4:7,8 | 5:6 | 2:3]
[1,2,3:6,7 | 4,5:8], [1,2,3:4,5 | 6,7:8], [4,6:5,7 | 1,2:3,8], [4,7:5,6 | 1,8:2,3]
[1,2,3:6,7 | 4,5:8], [1,2,3:4,5 | 6,7:8], [4,6:5,7 | 1,2:3,8], [4,7:5,6 | 3:8 | 1:2]
[1,2,3:6,7 | 4,5:8], [1,2,3:4,5 | 6,7:8], [4,6:5,7 | 1,2:3,8], [1,8:2,3 | 5:7 | 4:6]
[1,2,3:6,7 | 4,5:8], [1,2,3:4,5 | 6,7:8], [4,6:5,7 | 1,8:2,3], [2,7:3,5 | 4:6 | 1:8]
[1,2,3:6,7 | 4,5:8], [1,2,3:4,5 | 6,7:8], [4,6:5,7 | 1,8:2,3], [5:7 | 4:6 | 2:3 | 1:8]
[1,2,3:6,7 | 4,5:8], [1,2,3:4,5 | 6,7:8], [4,6:5,7 | 2:8 | 1:3], [1,3:2,8 | 5:7 | 4:6]
[1,2,3:4,5 | 6,7:8], [2,5:3,6 | 1,4:7,8], [3,4:6,8 | 1,7:2,5], [2,5:4,8 | 1,7:3,6]
[5,6:7,8 | 1,2:3,4], [3,4:7,8 | 1,2:5,6], [3,4:5,6 | 1,2:7,8], [1,3:2,4 | 7:8 | 5:6]
[5,6:7,8 | 1,2:3,4], [3,4:7,8 | 1,2:5,6], [3,4:5,6 | 1,2:7,8], [7:8 | 5:6 | 3:4 | 1:2]
[5,6:7,8 | 1,2:3,4], [3,4:7,8 | 1,2:5,6], [3,5:4,6 | 1,2:7,8], [1,6:2,4 | 7:8 | 3:5]
[5,6:7,8 | 1,2:3,4], [3,4:7,8 | 1,2:5,6], [2,5:4,7 | 1,3:6,8], [3,6:4,5 | 1,8:2,7]
[5,6:7,8 | 1,2:3,4], [3,4:7,8 | 1,2:5,6], [3,4:5,6 | 1,7:2,8], [1,8:2,7 | 5:6 | 3:4]
[5,6:7,8 | 1,2:3,4], [3,4:7,8 | 1,2:5,6], [3,5:4,6 | 1,7:2,8], [1,2:7,8 | 4:6 | 3:5]
[5,6:7,8 | 1,2:3,4], [3,4:7,8 | 1,2:5,6], [3,5:4,6 | 7:8 | 1:2], [1,2:7,8 | 4:6 | 3:5]
[5,6:7,8 | 1,2:3,4], [3,4:6,8 | 1,2:5,7], [3,4:5,7 | 1,2:6,8], [1,3:2,4 | 7:8 | 5:6]
[5,6:7,8 | 1,2:3,4], [3,4:5,6 | 1,2:7,8], [3,7:4,8 | 2:5 | 1:6], [1,6:2,5 | 4:8 | 3:7]
[5,6:7,8 | 1,2:3,4], [5,7:6,8 | 1,3:2,4], [2,4:6,8 | 1,3:5,7], [2,4:5,7 | 1,3:6,8]
[5,6:7,8 | 1,2:3,4], [2,4:7,8 | 1,3:5,6], [2,4:5,6 | 1,3:7,8], [7:8 | 5:6 | 3:4 | 1:2]
[5,6:7,8 | 1,2:3,4], [2,4:6,8 | 1,3:5,7], [2,4:5,7 | 1,3:6,8], [5,7:6,8 | 1,4:2,3]
[5,6:7,8 | 1,2:3,4], [2,4:6,8 | 1,3:5,7], [2,4:5,7 | 1,3:6,8], [5,8:6,7 | 1,4:2,3]
[5,6:7,8 | 1,2:3,4], [2,4:6,8 | 1,3:5,7], [2,4:5,7 | 1,3:6,8], [1,7:2,8 | 5:6 | 3:4]
[5,6:7,8 | 1,2:3,4], [2,4:6,8 | 1,3:5,7], [2,4:5,7 | 1,3:6,8], [1,4:2,3 | 7:8 | 5:6]
[5,6:7,8 | 1,2:3,4], [2,4:6,8 | 1,3:5,7], [2,4:5,7 | 1,3:6,8], [7:8 | 5:6 | 3:4 | 1:2]
[5,6:7,8 | 1,2:3,4], [2,4:5,7 | 1,3:6,8], [2,6:4,8 | 1,5:3,7], [3,8:4,7 | 1,6:2,5]
[5,6:7,8 | 1,2:3,4], [2,4:5,7 | 1,3:6,8], [3,8:4,7 | 1,6:2,5], [1,2:7,8 | 4:6 | 3:5]
[5,6:7,8 | 1,2:3,4], [2,4:5,7 | 1,3:6,8], [3,6:5,7 | 1,8:2,4], [2,4:3,6 | 1,8:5,7]
[5,6:7,8 | 1,2:3,4], [2,4:5,7 | 1,3:6,8], [3,6:4,5 | 1,8:2,7], [2,7:3,6 | 1,8:4,5]
[5,6:7,8 | 1,2:3,4], [2,4:5,7 | 1,3:6,8], [3,6:4,5 | 1,8:2,7], [1,4:5,8 | 3:7 | 2:6]
[5,6:7,8 | 1,2:3,4], [2,4:5,7 | 1,3:6,8], [3,6:4,5 | 1,8:2,7], [4:8 | 3:7 | 2:6 | 1:5]
[5,6:7,8 | 1,2:3,4], [2,4:5,6 | 1,3:7,8], [2,4:7,8 | 1,5:3,6], [7:8 | 3:4,6 | 1:2,5]
[5,6:7,8 | 1,2:3,4], [2,4:5,6 | 1,3:7,8], [2,7:4,8 | 1,5:3,6], [3,8:4,6 | 1,7:2,5]
#
# 9-state UPBs (11 exist):
#
[1,2,3,6:4,7,8 | 5:9], [1,2,4,6:3,9 | 5,8:7], [1,2,3,4:5,6,7 | 8:9], [1,6,8:2,4,5 | 3,7:9]
[1,2,7:3,4,8 | 5,9:6], [1,2,3,4:5,6 | 7,8:9], [3,4,5:8,9 | 1,6:2,7], [1,2,5:7,9 | 3,8:4,6]
[1,2,3,6:4,7,8 | 5:9], [1,2,4,6:3,9 | 5,8:7], [1,2,3,4:5,6,7 | 8:9], [4,5:6,8 | 1,3,7:2,9]
[1,2,3,6:4,7,8 | 5:9], [1,2,4,6:3,9 | 5,8:7], [1,2,3,4:5,6,7 | 8:9], [4,5:6,8 | 3,7:9 | 1:2]
[1,2,3,6:4,7,8 | 5:9], [1,2,3,4:5,6,7 | 8:9], [2,5,8:3,7 | 1,4,6:9], [4,5:6,8 | 1,9:2,3,7]
[1,2,3,6:4,7,8 | 5:9], [1,2,3,4:5,6,7 | 8:9], [4,5:6,8 | 1,2,7:3,9], [3,4,6:9 | 5,8:7 | 1:2]
[1,2,7:3,4,8 | 5,9:6], [1,2,3,4:5,6 | 7,8:9], [1,2,5:7,9 | 3,8:4,6], [3,4,5:8,9 | 6:7 | 1:2]
[1,2,7:3,4,8 | 5,9:6], [1,2,3,4:5,6 | 7,8:9], [3,4,5:8,9 | 6:7 | 1:2], [1,2,5:7,9 | 6:8 | 3:4]
[1,2,3,6:4,9 | 5,8:7], [1,2,3,4:5,6,7 | 8:9], [1,2,5:3,6,8 | 4,7:9], [3,4,6:7,8 | 5:9 | 1:2]
[1,2,3,6:4,9 | 5,8:7], [1,2,3,4:5,6,7 | 8:9], [1,6,8:2,3,5 | 4,7:9], [1,4,6:7,8 | 2,9:3,5]
[2,5,7:3,6,8 | 1,4:9], [1,5,8:3,4,7 | 2,6:9], [1,6,7:2,4,8 | 3,5:9], [1,2,3:4,5,6 | 7,8:9]
#
# 10-state UPBs (80 exist):
#
[1,2,3,4,7:5,9,10 | 6:8], [1,2,7,9:3,4,5,6 | 8:10], [1,2,3,4,5:6,7,8 | 9:10], [1,3,7,9:2,4,8 | 5,6:10]
[1,2,3,4,7:5,9,10 | 6:8], [1,2,7,9:3,4,5,6 | 8:10], [1,2,3,4,5:6,7,8 | 9:10], [3,5,6:4,10 | 1,7,9:2,8]
[1,2,3,4,7:5,9,10 | 6:8], [1,2,7,9:3,4,5,6 | 8:10], [1,2,3,4,5:6,7,8 | 9:10], [3,7,9:4,8 | 1,5,6:2,10]
[1,2,3,4,7:5,9,10 | 6:8], [1,2,7,9:3,4,5,6 | 8:10], [1,2,3,4,5:6,7,8 | 9:10], [1,5,6:2,10 | 7,9:8 | 3:4]
[1,2,3,4,7:5,9,10 | 6:8], [1,2,7,9:3,4,5,6 | 8:10], [1,2,3,4,5:6,7,8 | 9:10], [1,7,9:2,8 | 5,6:10 | 3:4]
[1,2,3,4,7:5,9,10 | 6:8], [1,2,7,9:3,4,5,6 | 8:10], [1,2,3,4,5:6,7,8 | 9:10], [1,3:2,4 | 5,6:10 | 7,9:8]
[1,2,3,4,7:5,9,10 | 6:8], [1,2,7,9:3,4,5,6 | 8:10], [1,2,3,4,5:6,7,8 | 9:10], [5,6:10 | 7,9:8 | 3:4 | 1:2]
[1,2,3,4,7:5,9,10 | 6:8], [1,2,3,4,5:6,7,8 | 9:10], [1,2,7,9:3,4,6 | 5,8:10], [3,7,9:4,5,8 | 1,10:2,6]
[1,2,3,4,7:5,9,10 | 6:8], [1,2,3,4,5:6,7,8 | 9:10], [1,2,7,9:3,4,6 | 5,8:10], [1,7,9:2,5,8 | 3,10:4,6]
[1,2,3,4,7:5,9,10 | 6:8], [1,2,3,4,5:6,7,8 | 9:10], [1,2,7,9:3,4,6 | 5,8:10], [1,3,10:2,4,6 | 5,8:7,9]
[1,2,3,4,7:5,9,10 | 6:8], [1,2,3,4,5:6,7,8 | 9:10], [1,2,7,9:3,4,6 | 5,8:10], [3,7,9:4,5,8 | 6:10 | 1:2]
[1,2,3,4,7:5,9,10 | 6:8], [1,2,3,4,5:6,7,8 | 9:10], [1,2,7,9:3,4,6 | 5,8:10], [5,8:7,9 | 3,10:4,6 | 1:2]
[1,2,3,4,7:5,9,10 | 6:8], [1,2,3,4,5:6,7,8 | 9:10], [1,2,7,9:3,4,6 | 5,8:10], [1,7,9:2,5,8 | 6:10 | 3:4]
[1,2,3,4,7:5,9,10 | 6:8], [1,2,3,4,5:6,7,8 | 9:10], [1,2,7,9:3,4,6 | 5,8:10], [5,8:7,9 | 1,10:2,6 | 3:4]
[1,2,3,4,7:5,9,10 | 6:8], [1,2,3,4,5:6,7,8 | 9:10], [1,2,7,9:3,4,6 | 5,8:10], [5,8:7,9 | 1,3:2,4 | 6:10]
[1,2,3,4,7:5,9,10 | 6:8], [1,2,3,4,5:6,7,8 | 9:10], [1,2,7,9:3,4,6 | 5,8:10], [5,8:7,9 | 6:10 | 3:4 | 1:2]
[1,2,3,4,7:5,9,10 | 6:8], [1,2,3,4,5:6,7,8 | 9:10], [2,7,9:3,5,6 | 1,10:4,8], [1,4:2,3 | 5,6:10 | 7,9:8]
[1,2,3,4,7:5,9,10 | 6:8], [1,2,3,4,5:6,7,8 | 9:10], [3,7,9:4,6 | 1,5,8:2,10], [1,2,6:3,4,10 | 5,8:7,9]
[1,2,3,4,7:5,9,10 | 6:8], [1,2,3,4,5:6,7,8 | 9:10], [3,7,9:4,6 | 1,5,8:2,10], [1,2,10:3,4,6 | 5,8:7,9]
[1,2,3,4,7:5,9,10 | 6:8], [1,2,3,4,5:6,7,8 | 9:10], [1,7,9:4,6 | 2,5,8:3,10], [5,8:7,9 | 1,4:2,3 | 6:10]
[1,2,3,4,7:5,9,10 | 6:8], [1,2,3,4,5:6,7,8 | 9:10], [1,2,9:3,4,6 | 5,8:7,10], [1,5,8:2,9 | 6:7,10 | 3:4]
[1,2,3,4,7:5,9,10 | 6:8], [1,2,3,4,5:6,7,8 | 9:10], [1,2,9:3,4,6 | 5,8:7,10], [1,7,10:2,6 | 5,8:9 | 3:4]
[1,2,3,4,7:5,9,10 | 6:8], [1,2,3,4,5:6,7,8 | 9:10], [1,2,9:3,4,6 | 5,8:7,10], [1,3:2,4 | 5,8:9 | 6:7,10]
[1,2,3,4,7:5,9,10 | 6:8], [1,2,3,4,5:6,7,8 | 9:10], [1,2,9:3,4,6 | 5,8:7,10], [5,8:9 | 6:7,10 | 3:4 | 1:2]
[1,2,3,4,7:5,9,10 | 6:8], [1,2,3,4,5:6,7,8 | 9:10], [2,7,9:3,5,6 | 8:10 | 1:4], [1,4:2,3 | 5,6:10 | 7,9:8]
[1,2,3,4,7:5,9,10 | 6:8], [1,2,3,4,5:6,7,8 | 9:10], [2,7,9:3,6 | 5,8:10 | 1:4], [5,8:7,9 | 1,4:2,3 | 6:10]
[1,2,3,4,7:5,9,10 | 6:8], [1,2,3,4,5:6,7,8 | 9:10], [5,6:7,9 | 1,10:2,8 | 3:4], [1,2:3,4 | 5,6:10 | 7,9:8]
[1,2,3,4,7:5,9,10 | 6:8], [1,2,3,4,5:6,7,8 | 9:10], [5,6:7,9 | 1,2:3,4 | 8:10], [5,6:10 | 7,9:8 | 3:4 | 1:2]
[1,2,3,4,7:5,9,10 | 6:8], [1,2,3,4,5:6,7,8 | 9:10], [5,6:7,9 | 1,3:2,4 | 8:10], [1,2:3,4 | 5,6:10 | 7,9:8]
[1,2,3,4,7:5,9,10 | 6:8], [1,2,3,4,5:6,7,8 | 9:10], [1,2:3,4 | 5,6:9 | 7,10:8], [5,6:7,10 | 8:9 | 3:4 | 1:2]
[1,2,7,9:3,4,5,8 | 6:10], [1,3,4,8:2,5,10 | 6:7,9], [1,2,3,4,5:6,7,8 | 9:10], [1,2,5,7:9,10 | 3,8:4,6]
[1,2,7,9:3,4,5,8 | 6:10], [1,3,4,8:2,5,10 | 6:7,9], [1,2,3,4,5:6,7,8 | 9:10], [1,2,5,7:9,10 | 6:8 | 3:4]
[1,2,7,9:3,4,5,8 | 6:10], [1,2,3,4,5:6,7,8 | 9:10], [3,5,8:4,10 | 1,7,9:2,6], [1,2,4,7:9,10 | 3,8:5,6]
[1,2,7,9:3,4,5,8 | 6:10], [1,2,3,4,5:6,7,8 | 9:10], [3,5,8:4,10 | 1,7,9:2,6], [1,2,4,7:9,10 | 6:8 | 3:5]
[1,2,7,9:3,4,5,8 | 6:10], [1,2,3,4,5:6,7,8 | 9:10], [1,2,4,7:9,10 | 3,8:5,6], [3,5,8:4,10 | 6:7,9 | 1:2]
[1,2,7,9:3,4,5,8 | 6:10], [1,2,3,4,5:6,7,8 | 9:10], [3,5,8:4,10 | 6:7,9 | 1:2], [1,2,4,7:9,10 | 6:8 | 3:5]
[1,8,10:2,3,4,6 | 5,9:7], [2,3,6,8:4,7,9 | 1,5:10], [1,2,3,4:5,6,7 | 8,9:10], [1,4,5:6,8,9 | 2,10:3,7]
[1,8,10:2,3,4,6 | 5,9:7], [2,3,6,8:4,7,9 | 1,5:10], [1,2,3,4:5,6,7 | 8,9:10], [1,4,5:6,8,9 | 7:10 | 2:3]
[1,2,3,7:4,5,10 | 6,9:8], [1,2,3,4,5:6,7,8 | 9:10], [2,4,5,6:9,10 | 1,8:3,7], [1,3,7:2,6,9 | 4,10:5,8]
[1,2,3,7:4,5,10 | 6,9:8], [1,2,3,4,5:6,7,8 | 9:10], [2,4,5,6:9,10 | 1,8:3,7], [1,3,7:2,6,9 | 8:10 | 4:5]
[1,2,3,7:4,5,10 | 6,9:8], [1,2,3,4,5:6,7,8 | 9:10], [1,3,7:2,6,9 | 4,10:5,8], [2,4,5,6:9,10 | 7:8 | 1:3]
[1,2,3,7:4,5,10 | 6,9:8], [1,2,3,4,5:6,7,8 | 9:10], [2,4,5,6:9,10 | 7:8 | 1:3], [1,3,7:2,6,9 | 8:10 | 4:5]
[1,2,3,4:5,6,7,8 | 9:10], [1,2,7,8:3,6,10 | 4,5:9], [1,6,7,8:2,5,9 | 3,4:10], [1,2,3,7:4,8,9 | 5,6:10]
[1,2,3,4:5,6,7,8 | 9:10], [1,7,10:2,3,4,6 | 5,8:9], [2,3,6,7:4,8,9 | 1,5:10], [5,10:6,7,8 | 1,2,4:3,9]
[1,2,3,4:5,6,7,8 | 9:10], [1,7,10:2,3,4,6 | 5,8:9], [2,3,6,7:4,8,9 | 1,5:10], [5,10:6,7,8 | 1,4:9 | 2:3]
[1,2,3,4:5,6,7,8 | 9:10], [2,6,10:3,4,7 | 1,5,8:9], [3,6,7:4,8,9 | 1,2,5:10], [5,10:6,7,8 | 1,9:2,3,4]
[1,2,3,4:5,6,7,8 | 9:10], [2,3,6,7:4,8,9 | 1,5:10], [5,6,8:7,9 | 1,10:2,3,4], [5,10:6,7,8 | 1,2,4:3,9]
[1,2,3,4:5,6,7,8 | 9:10], [2,3,6,7:4,8,9 | 1,5:10], [5,10:6,7,8 | 1,2,4:3,9], [1,10:2,3,4 | 5,8:9 | 6:7]
[1,2,3,4:5,6,7,8 | 9:10], [2,3,6,7:4,8,9 | 1,5:10], [5,10:6,7,8 | 1,4:9 | 2:3], [1,10:2,3,4 | 5,8:9 | 6:7]
[1,2,3,4:5,6,7,8 | 9:10], [1,2,3,7:4,8,9 | 5,6:10], [4,5,7,8:6,9 | 1,10:2,3], [1,4,7,8:5,10 | 2,9:3,6]
[1,2,3,4:5,6,7,8 | 9:10], [1,2,3,7:4,8,9 | 5,6:10], [4,5,7,8:6,9 | 1,10:2,3], [1,4,7,8:5,10 | 6:9 | 2:3]
[1,2,3,4:5,6,7,8 | 9:10], [1,2,3,7:4,8,9 | 5,6:10], [5,9:6,7,8 | 1,3,4:2,10], [2,7,8:6,10 | 1,4,5:3,9]
[1,2,3,4:5,6,7,8 | 9:10], [1,2,3,7:4,8,9 | 5,6:10], [5,7,8:6,9 | 1,2,4:3,10], [3,7,8:5,10 | 4,6:9 | 1:2]
[1,2,3,4:5,6,7,8 | 9:10], [2,7,9:3,4,8 | 1,5,6:10], [5,7,8:6,9 | 1,10:2,3,4], [5,10:7,8 | 1,2,6:9 | 3:4]
[1,2,3,4:5,6,7,8 | 9:10], [1,6,9:2,7,8 | 3,4,5:10], [3,5,6,7:8,9 | 1,2:4,10], [5,10:6,7,8 | 1,2,4:3,9]
[1,2,3,4:5,6,7,8 | 9:10], [2,5,6,7:8,10 | 1,9:3,4], [5,7,8:6,9 | 1,3,4:2,10], [5,10:7,8 | 1,2,3,6:4,9]
[1,2,3,4:5,6,7,8 | 9:10], [5,6,8:7,9 | 1,3,4:2,10], [4,5:6,9 | 1,2,7,8:3,10], [5,6:8,10 | 1,2,3,7:4,9]
[1,2,3,4:5,6,7,8 | 9:10], [5,6,8:7,9 | 1,3,4:2,10], [5,6:8,10 | 1,2,3,7:4,9], [2,5,7,8:6,10 | 4:9 | 1:3]
[1,2,3,4:5,6,7,8 | 9:10], [5,6,8:7,9 | 1,3,4:2,10], [5,6:8,10 | 1,2,3,7:4,9], [1,2,7,8:3,10 | 5:6 | 4:9]
[1,2,3,4:5,6,7,8 | 9:10], [3,5,8:6,9 | 1,4,7:2,10], [5,6,8:7,10 | 1,2,4:3,9], [5,6,7:8,9 | 1,2,3:4,10]
[1,2,3,4:5,6,7,8 | 9:10], [3,4,5:6,9 | 1,7,8:2,10], [4,5,6:7,10 | 1,2,8:3,9], [5,6,7:8,9 | 1,2,3:4,10]
[1,2,3,4:5,6,7,8 | 9:10], [5,7,8:6,10 | 1,2,4:3,9], [3,5,6,7:8,9 | 2:4 | 1:10], [1,10:2,3,4,6 | 8:9 | 5:7]
[1,2,3,4:5,6,7,8 | 9:10], [5,6,8:7,10 | 1,2,4:3,9], [5,6,7:8,9 | 1,2,3:4,10], [1,3,8:2,9 | 4,7:10 | 5:6]
[1,2,3,4:5,6,7,8 | 9:10], [5,6,8:7,10 | 1,2,4:3,9], [5,6,7:8,9 | 1,2,3:4,10], [1,5:2,6 | 4,7:10 | 3,8:9]
[1,2,3,4:5,6,7,8 | 9:10], [5,6,8:7,10 | 1,2,4:3,9], [5,6,7:8,9 | 1,2,3:4,10], [4,7:10 | 3,8:9 | 5:6 | 1:2]
[1,2,3,4:5,6,7,8 | 9:10], [4,5,6:7,10 | 1,2,8:3,9], [5,6,7:8,9 | 1,2,3:4,10], [1,7,8:2,10 | 3,4:9 | 5:6]
[1,2,3,4:5,6,7,8 | 9:10], [4,5,6:7,10 | 1,2,8:3,9], [5,6,7:8,9 | 1,2,3:4,10], [1,3,4:2,9 | 7,8:10 | 5:6]
[1,2,3,4:5,6,7,8 | 9:10], [4,5,6:7,10 | 1,2,8:3,9], [5,6,7:8,9 | 1,2,3:4,10], [1,5:2,6 | 7,8:10 | 3,4:9]
[1,2,3,4:5,6,7,8 | 9:10], [4,5,6:7,10 | 1,2,8:3,9], [5,6,7:8,9 | 1,2,3:4,10], [7,8:10 | 3,4:9 | 5:6 | 1:2]
[1,2,3,4:5,6,7,8 | 9:10], [5,6,8:7,9 | 1,2,4:3,10], [5,6:8,10 | 1,2,3,7:4,9], [4,5:6,9 | 3,7,8:10 | 1:2]
[1,2,3,4:5,6,7,8 | 9:10], [5,6,8:7,9 | 1,2,4:3,10], [5,6:8,10 | 1,2,3,7:4,9], [1,5:2,6 | 3,7,8:10 | 4:9]
[1,2,3,4:5,6,7,8 | 9:10], [5,6,8:7,9 | 1,2,4:3,10], [5,6:8,10 | 1,2,3,7:4,9], [1,9:2,4 | 3,7,8:10 | 5:6]
[1,2,3,4:5,6,7,8 | 9:10], [5,6,8:7,9 | 1,2,4:3,10], [5,6:8,10 | 1,2,3,7:4,9], [3,7,8:10 | 5:6 | 4:9 | 1:2]
[1,2,3,4:5,6,7,8 | 9:10], [4,5:6,9 | 1,2,7,8:3,10], [5,6:8,10 | 1,2,3,7:4,9], [5,6,8:7,9 | 3,4:10 | 1:2]
[1,2,3,4:5,6,7,8 | 9:10], [5,6:8,10 | 1,2,3,7:4,9], [5,6,8:7,9 | 3,4:10 | 1:2], [1,2,7,8:3,10 | 5:6 | 4:9]
[1,2,3,4:5,6,7,8 | 9:10], [5,6,7:8,9 | 1,2,3:4,10], [4,5,6:7,10 | 2,8:9 | 1:3], [1,3,4:2,9 | 7,8:10 | 5:6]
[1,2,3,4:5,6,7 | 8,9:10], [2,5,6,8:7,9 | 1,10:3,4], [1,2,5,6:8,10 | 3,9:4,7], [1,3,4:2,8,9 | 5,10:6,7]
[1,2,3,4:5,6,7 | 8,9:10], [2,5,6,8:7,9 | 1,10:3,4], [1,2,5,6:8,10 | 3,9:4,7], [1,3,4:2,8,9 | 7:10 | 5:6]
[1,2,3,4:5,6,7 | 8,9:10], [2,5,6,8:7,9 | 1,10:3,4], [1,3,4:2,8,9 | 5,10:6,7], [1,2,5,6:8,10 | 7:9 | 3:4]
[1,2,3,4:5,6,7 | 8,9:10], [2,5,6,8:7,9 | 1,10:3,4], [1,2,5,6:8,10 | 7:9 | 3:4], [1,3,4:2,8,9 | 7:10 | 5:6]
#
# No 11-state UPB exists.
#
# 12-state UPBs (maximal, 1209 exist):
#
# The first 5 12-state UPBs arise as a form of (Shifts \otimes |0>) \cup (B1 \otimes |1>), where B1 is the standard basis of 3-qubit space:
# B1 = [1,2,3,4:5,6,7,8], [1,2,5,6:3,4,7,8], [1,3,5,7:2,4,6,8]
#
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,3,5,7,11:2,4,6,8,9 | 10:12], [1,2,5,6,10:3,4,7,8,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,3,5,7,12:2,4,6,8,10 | 9:11], [1,2,5,6,10:3,4,7,8,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,3,5,7:2,4,6,8 | 10:12 | 9:11], [1,2,5,6,10:3,4,7,8,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,3,5,7:2,4,6,8 | 11:12 | 9:10], [1,2,5,6:3,4,7,8 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,3,5,7:2,4,6,8 | 11:12 | 9:10], [1,2,5,6:3,4,7,8 | 10:12 | 9:11]
#
# The next 32 12-state UPBs arise as a form of (Shifts \otimes |0>) \cup (B2 \otimes |1>), where B2 is the following product basis of 3-qubit space:
# B2 = [1,2,3,4:5,6,7,8], [1,2,5,6:3,4,7,8], [1,3,5:2,4,6 | 7:8]
#
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,5,7,12:4,6,8,10 | 1,11:2,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,5,7,11:4,6,8,9 | 1,12:2,10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [1,3,7,12:2,4,8,10 | 5,11:6,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [1,3,7,11:2,4,8,9 | 5,12:6,10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [1,3,5,12:2,4,6,10 | 7,11:8,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [1,3,5,11:2,4,6,9 | 7,12:8,10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,5,7,12:4,6,8,10 | 9:11 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,5,7,11:4,6,8,9 | 10:12 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [1,3,7,12:2,4,8,10 | 9:11 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [1,3,7,11:2,4,8,9 | 10:12 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [1,3,5,12:2,4,6,10 | 9:11 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [1,3,5,11:2,4,6,9 | 10:12 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,5,7:4,6,8 | 1,12:2,10 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [1,3,7:2,4,8 | 5,12:6,10 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [1,3,5:2,4,6 | 7,12:8,10 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,5,7:4,6,8 | 1,11:2,9 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [1,3,7:2,4,8 | 5,11:6,9 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [1,3,5:2,4,6 | 7,11:8,9 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,5,7:4,6,8 | 10:12 | 9:11 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [1,3,7:2,4,8 | 10:12 | 9:11 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [1,3,5:2,4,6 | 10:12 | 9:11 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [1,3,6,7:2,4,5,8 | 11:12 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [1,3,6,7:2,4,5,8 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,3,5,11:2,4,6,9 | 10:12 | 7:8], [1,2,5,6:3,4,7,8 | 11:12 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,3,5,10:2,4,6,9 | 11:12 | 7:8], [1,2,5,6:3,4,7,8 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,5,7:2,6,8 | 3,10:4,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,3,5:2,4,6 | 7,10:8,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,3,5:2,4,6 | 11:12 | 9:10 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,3,6,8:2,4,5,7 | 11:12 | 9:10], [1,2,5,8:3,4,6,7 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,3,5,10:2,4,6,9 | 11:12 | 7:8], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,3,5:2,4,6 | 7,10:8,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,3,5:2,4,6 | 11:12 | 9:10 | 7:8]
#
# The next 47 12-state UPBs arise as a form of (Shifts \otimes |0>) \cup (B3 \otimes |1>), where B3 is the following product basis of 3-qubit space:
# B3 = [1,2,3,4:5,6,7,8], [1,2,5,6:3,4,7,8], [1,3:2,4 | 7:8 | 5:6]
#
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,7,12:4,8,10 | 5,11:6,9 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,7,11:4,8,9 | 5,12:6,10 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,7,12:4,8,10 | 1,11:2,9 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,7,11:4,8,9 | 1,12:2,10 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [1,3,12:2,4,10 | 7,11:8,9 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [1,3,11:2,4,9 | 7,12:8,10 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [1,3,12:2,4,10 | 5,11:6,9 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [1,3,11:2,4,9 | 5,12:6,10 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [7,12:8,10 | 3,11:4,9 | 1,5:2,6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [7,11:8,9 | 3,12:4,10 | 1,5:2,6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [5,7:6,8 | 3,12:4,10 | 1,11:2,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [5,7:6,8 | 3,11:4,9 | 1,12:2,10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,7,12:4,8,10 | 9:11 | 5:6 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,7,11:4,8,9 | 10:12 | 5:6 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [5,7:6,8 | 3,12:4,10 | 9:11 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [5,7:6,8 | 3,11:4,9 | 10:12 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [1,3,12:2,4,10 | 9:11 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [1,3,11:2,4,9 | 10:12 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [7,12:8,10 | 1,3:2,4 | 9:11 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,7:4,8 | 1,12:2,10 | 9:11 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [7,11:8,9 | 1,3:2,4 | 10:12 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,7:4,8 | 1,11:2,9 | 10:12 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,12:4,10 | 1,5:2,6 | 9:11 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,11:4,9 | 1,5:2,6 | 10:12 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,7:4,8 | 10:12 | 9:11 | 5:6 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [1,3:2,4 | 10:12 | 9:11 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,5,11:2,6,9 | 3,12:4,10 | 7:8], [1,2,5,6:3,4,7,8 | 11:12 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,5,10:2,6,9 | 3,12:4,11 | 7:8], [1,2,5,6:3,4,7,8 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,3,11:2,4,9 | 5,12:6,10 | 7:8], [1,2,5,6:3,4,7,8 | 11:12 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,3,10:2,4,9 | 5,12:6,11 | 7:8], [1,2,5,6:3,4,7,8 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [5,12:6,11 | 3,7:4,8 | 1,10:2,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [5,10:6,9 | 3,7:4,8 | 1,12:2,11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [5,7:6,8 | 3,10:4,9 | 1,12:2,11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,5,10:2,6,9 | 11:12 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,3,12:2,4,11 | 9:10 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,3,10:2,4,9 | 11:12 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [5,12:6,11 | 1,3:2,4 | 9:10 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [3,12:4,11 | 1,5:2,6 | 9:10 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [5,10:6,9 | 1,3:2,4 | 11:12 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [3,10:4,9 | 1,5:2,6 | 11:12 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,5:2,6 | 11:12 | 9:10 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,3:2,4 | 11:12 | 9:10 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,3,10:2,4,9 | 5,12:6,11 | 7:8], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,7:6,8 | 3,10:4,9 | 1,12:2,11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,3,10:2,4,9 | 11:12 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [3,10:4,9 | 1,5:2,6 | 11:12 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,3:2,4 | 11:12 | 9:10 | 7:8 | 5:6]
#
# The next 99 12-state UPBs arise as a form of (Shifts \otimes |0>) \cup (B4 \otimes |1>), where B4 is the following product basis of 3-qubit space:
# B4 = [1,2,3,4:5,6,7,8], [1,2,6:3,4,7 | 5:8], [5,8:6,7 | 1,3:2,4]
#
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [5,8,11:6,7,12 | 1,3,10:2,4,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [5,8,12:6,7,11 | 1,3,10:2,4,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [5,8,9:6,7,10 | 1,3,12:2,4,11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [5,8,10:6,7,9 | 1,3,12:2,4,11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [5,8,11:6,7,12 | 1,3:2,4 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [5,8,12:6,7,11 | 1,3:2,4 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [1,3,12:2,4,11 | 5,8:6,7 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [5,8,9:6,7,10 | 1,3:2,4 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [5,8,10:6,7,9 | 1,3:2,4 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [1,3,10:2,4,9 | 5,8:6,7 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [5,8:6,7 | 1,3:2,4 | 11:12 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [5,8,10:6,7,12 | 1,3,11:2,4,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [5,8,12:6,7,10 | 1,3,11:2,4,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [5,8,9:6,7,11 | 1,3,12:2,4,10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [5,8,11:6,7,9 | 1,3,12:2,4,10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [5,8,10:6,7,12 | 1,3:2,4 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [5,8,12:6,7,10 | 1,3:2,4 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [1,3,12:2,4,10 | 5,8:6,7 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [5,8,9:6,7,11 | 1,3:2,4 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [5,8,11:6,7,9 | 1,3:2,4 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [1,3,11:2,4,9 | 5,8:6,7 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [5,8:6,7 | 1,3:2,4 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [3,5,7:4,6,8 | 1,10:2,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [1,5,7:2,6,8 | 3,10:4,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [1,3,7:2,4,8 | 5,10:6,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [1,3,5:2,4,6 | 7,10:8,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [1,3,7:2,4,8 | 11:12 | 9:10 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [1,3,5:2,4,6 | 11:12 | 9:10 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [3,5,7:4,6,8 | 1,11:2,9 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,5,7:2,6,8 | 3,11:4,9 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,3,7:2,4,8 | 5,11:6,9 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,3,5:2,4,6 | 7,11:8,9 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,3,7:2,4,8 | 10:12 | 9:11 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,3,5:2,4,6 | 10:12 | 9:11 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,7,11:6,8,9 | 1,4,10:2,3,12], [2,5,6,12:3,7,8,11 | 9:10 | 1:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,7,11:6,8,9 | 1,4,10:2,3,12], [2,5,6,10:3,7,8,9 | 11:12 | 1:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,7,10:6,8,9 | 1,4,11:2,3,12], [2,5,6,12:3,7,8,10 | 9:11 | 1:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,7,10:6,8,9 | 1,4,11:2,3,12], [2,5,6,11:3,7,8,9 | 10:12 | 1:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,7,11:6,8,9 | 1,4,12:2,3,10], [2,5,6,12:3,7,8,11 | 9:10 | 1:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,7,11:6,8,9 | 1,4,12:2,3,10], [2,5,6,10:3,7,8,9 | 11:12 | 1:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,7,10:6,8,9 | 1,4,12:2,3,11], [2,5,6,12:3,7,8,10 | 9:11 | 1:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,7,10:6,8,9 | 1,4,12:2,3,11], [2,5,6,11:3,7,8,9 | 10:12 | 1:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 10:12 | 5:8], [5,8,11:6,7,12 | 1,3:2,4 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 10:12 | 5:8], [5,8,12:6,7,11 | 1,3:2,4 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 10:12 | 5:8], [1,3,12:2,4,11 | 5,8:6,7 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 10:12 | 5:8], [5,8,9:6,7,10 | 1,3:2,4 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 10:12 | 5:8], [5,8,10:6,7,9 | 1,3:2,4 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 10:12 | 5:8], [1,3,10:2,4,9 | 5,8:6,7 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 10:12 | 5:8], [5,8:6,7 | 1,3:2,4 | 11:12 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [5,8,10:6,7,12 | 1,3:2,4 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [5,8,12:6,7,10 | 1,3:2,4 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [1,3,12:2,4,10 | 5,8:6,7 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [5,8,9:6,7,11 | 1,3:2,4 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [5,8,11:6,7,9 | 1,3:2,4 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [1,3,11:2,4,9 | 5,8:6,7 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [5,8:6,7 | 1,3:2,4 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,5,7:2,6,8 | 3,12:4,10 | 9:11], [5,6,10:7,8,9 | 1,2:3,4 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,4,10:2,3,12 | 5,7:6,8 | 9:11], [2,5,6:3,7,8 | 1,10:4,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,4,12:2,3,10 | 5,7:6,8 | 9:11], [2,5,6:3,7,8 | 1,10:4,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,3,5:2,4,6 | 7,12:8,10 | 9:11], [5,6,9:7,8,10 | 1,2:3,4 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,3,5:2,4,6 | 7,12:8,10 | 9:11], [5,6,10:7,8,9 | 1,2:3,4 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,3,5:2,4,6 | 7,12:8,10 | 9:11], [1,2,10:3,4,9 | 5,6:7,8 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,5,7:2,6,8 | 3,11:4,9 | 10:12], [1,2,9:3,4,10 | 5,6:7,8 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,5,7:2,6,8 | 3,11:4,9 | 10:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,3,11:2,4,9 | 5,8:6,7 | 10:12], [1,2,6:3,4,7 | 5,10:8,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,3,5:2,4,6 | 7,11:8,9 | 10:12], [5,6,9:7,8,10 | 1,2:3,4 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,3,5:2,4,6 | 7,11:8,9 | 10:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,3,5:2,4,6 | 7,11:8,9 | 10:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [1,5,7:2,6,8 | 10:12 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [1,3,7:2,4,8 | 10:12 | 9:11 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [1,3,5:2,4,6 | 10:12 | 9:11 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [2,5,6:3,7,8 | 1,10:4,9 | 11:12], [5,7:6,8 | 1,4:2,3 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [3,5,7:4,6,8 | 10:12 | 9:11 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [1,5,7:2,6,8 | 10:12 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [1,3,5:2,4,6 | 10:12 | 9:11 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6:3,4,7 | 5,10:8,9 | 11:12], [5,8:6,7 | 1,3:2,4 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6:3,4,7 | 10:12 | 9:11 | 5:8], [5,8:6,7 | 1,3:2,4 | 11:12 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [3,6,10:4,7,9 | 1,8,11:2,5,12], [1,2,5,8:3,4,6,7 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [3,6,10:4,7,9 | 1,8,12:2,5,11], [1,2,5,8:3,4,6,7 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,5,8:3,4,6,7 | 10:12 | 9:11], [3,6,10:4,7,9 | 1,8:2,5 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,5,8:3,4,6,7 | 10:12 | 9:11], [1,8,9:2,5,10 | 3,6:4,7 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,5,8:3,4,6,7 | 10:12 | 9:11], [1,8,10:2,5,9 | 3,6:4,7 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,5,8:3,4,6,7 | 10:12 | 9:11], [3,6:4,7 | 1,8:2,5 | 11:12 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,3,7:2,4,8 | 5,11:6,9 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,3,5:2,4,6 | 7,11:8,9 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,3,5:2,4,6 | 10:12 | 9:11 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [3,6,10:4,7,9 | 1,8,11:2,5,12], [2,3,4,10:5,6,7,11 | 9:12 | 1:8], [1,2,5,8:3,4,6,7 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [3,6,10:4,7,9 | 1,8,12:2,5,11], [2,3,4,10:5,6,7,11 | 9:12 | 1:8], [1,2,5,8:3,4,6,7 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,8,9:6,7,11 | 1,3:2,4 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,8,11:6,7,9 | 1,3:2,4 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,3,11:2,4,9 | 5,8:6,7 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,8:6,7 | 1,3:2,4 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,3,5:2,4,6 | 7,11:8,9 | 10:12], [5,6,9:7,8,10 | 1,2:3,4 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,3,5:2,4,6 | 7,11:8,9 | 10:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,3,5:2,4,6 | 7,11:8,9 | 10:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [1,5,7:2,6,8 | 10:12 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [1,3,5:2,4,6 | 10:12 | 9:11 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,6:3,4,7 | 5,10:8,9 | 11:12], [5,8:6,7 | 1,3:2,4 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,6:3,4,7 | 10:12 | 9:11 | 5:8], [5,8:6,7 | 1,3:2,4 | 11:12 | 9:10]
#
# The next 25 12-state UPBs arise as a form of (Shifts \otimes |0>) \cup (B5 \otimes |1>), where B5 is the following product basis of 3-qubit space:
# B5 = [1,2,3,4:5,6,7,8], [5,6:7,8 | 1,2:3,4], [5,7:6,8 | 1,3:2,4]
#
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [5,7,12:6,8,11 | 1,3,10:2,4,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [5,7,10:6,8,9 | 1,3:2,4 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [1,3,10:2,4,9 | 5,7:6,8 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [5,7:6,8 | 1,3:2,4 | 11:12 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [5,7,12:6,8,10 | 1,3,11:2,4,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [5,7,11:6,8,9 | 1,3,12:2,4,10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [5,7,11:6,8,9 | 1,3:2,4 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,3,11:2,4,9 | 5,7:6,8 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [5,7:6,8 | 1,3:2,4 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,7,12:6,8,10 | 1,3:2,4 | 9:11], [5,6,10:7,8,9 | 1,2:3,4 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,3,12:2,4,10 | 5,7:6,8 | 9:11], [5,6,10:7,8,9 | 1,2:3,4 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,3,12:2,4,10 | 5,7:6,8 | 9:11], [1,2,10:3,4,9 | 5,6:7,8 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2:3,4 | 10:12], [1,3,10:2,4,9 | 5,7:6,8 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,3,11:2,4,9 | 5,7:6,8 | 10:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,3,11:2,4,9 | 5,7:6,8 | 10:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [5,7:6,8 | 1,3:2,4 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [5,7:6,8 | 1,3:2,4 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,7:6,8 | 1,3:2,4 | 11:12 | 9:10], [5,6:7,8 | 1,2:3,4 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [5,7,11:6,8,9 | 1,3,12:2,4,10], [1,2,3,4:5,6,7,8 | 10:11 | 9:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,3,11:2,4,9 | 5,7:6,8 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,7:6,8 | 1,3:2,4 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,3,11:2,4,9 | 5,7:6,8 | 10:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,3,11:2,4,9 | 5,7:6,8 | 10:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [5,7:6,8 | 1,3:2,4 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,7:6,8 | 1,3:2,4 | 11:12 | 9:10], [5,6:7,8 | 1,2:3,4 | 10:12 | 9:11]
#
# The next 93 12-state UPBs arise as a form of (Shifts \otimes |0>) \cup (B6 \otimes |1>), where B6 is the following product basis of 3-qubit space:
# B6 = [1,2,3,4:5,6,7,8], [5,6:7,8 | 1,2:3,4], [1,3:2,4 | 7:8 | 5:6]
#
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [1,3,12:2,4,11 | 7,10:8,9 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [1,3,10:2,4,9 | 7,12:8,11 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [1,3,12:2,4,11 | 5,10:6,9 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [1,3,10:2,4,9 | 5,12:6,11 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [5,7:6,8 | 3,12:4,11 | 1,10:2,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [5,7:6,8 | 3,10:4,9 | 1,12:2,11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [1,3,12:2,4,11 | 9:10 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [1,3,10:2,4,9 | 11:12 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [7,12:8,11 | 1,3:2,4 | 9:10 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [7,10:8,9 | 1,3:2,4 | 11:12 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [5,12:6,11 | 1,3:2,4 | 9:10 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [5,10:6,9 | 1,3:2,4 | 11:12 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [1,3:2,4 | 11:12 | 9:10 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,3,12:2,4,10 | 7,11:8,9 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,3,11:2,4,9 | 7,12:8,10 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,3,12:2,4,10 | 5,11:6,9 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,3,11:2,4,9 | 5,12:6,10 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [5,7:6,8 | 3,12:4,10 | 1,11:2,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [5,7:6,8 | 3,11:4,9 | 1,12:2,10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,3,12:2,4,10 | 9:11 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,3,11:2,4,9 | 10:12 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [7,12:8,10 | 1,3:2,4 | 9:11 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [7,11:8,9 | 1,3:2,4 | 10:12 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [5,12:6,10 | 1,3:2,4 | 9:11 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [5,11:6,9 | 1,3:2,4 | 10:12 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,3:2,4 | 10:12 | 9:11 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,11:3,4,9 | 6,12:7,10 | 5:8], [5,8:6,7 | 1,3:2,4 | 11:12 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 6,12:7,11 | 5:8], [5,8:6,7 | 1,3:2,4 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,3,11:2,4,9 | 5,12:6,10 | 7:8], [5,6,11:7,8,12 | 1,2:3,4 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,3,11:2,4,9 | 5,12:6,10 | 7:8], [5,6,12:7,8,11 | 1,2:3,4 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,3,11:2,4,9 | 5,12:6,10 | 7:8], [1,2,12:3,4,11 | 5,6:7,8 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,3,11:2,4,9 | 5,12:6,10 | 7:8], [5,6,9:7,8,10 | 1,2:3,4 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,3,11:2,4,9 | 5,12:6,10 | 7:8], [5,6,10:7,8,9 | 1,2:3,4 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,3,11:2,4,9 | 5,12:6,10 | 7:8], [1,2,10:3,4,9 | 5,6:7,8 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,3,10:2,4,9 | 5,12:6,11 | 7:8], [5,6,10:7,8,12 | 1,2:3,4 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,3,10:2,4,9 | 5,12:6,11 | 7:8], [5,6,12:7,8,10 | 1,2:3,4 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,3,10:2,4,9 | 5,12:6,11 | 7:8], [1,2,12:3,4,10 | 5,6:7,8 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,3,10:2,4,9 | 5,12:6,11 | 7:8], [5,6,9:7,8,11 | 1,2:3,4 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,3,10:2,4,9 | 5,12:6,11 | 7:8], [5,6,11:7,8,9 | 1,2:3,4 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,3,10:2,4,9 | 5,12:6,11 | 7:8], [1,2,11:3,4,9 | 5,6:7,8 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [5,7,12:6,8,10 | 9:11 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [5,7,11:6,8,9 | 10:12 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [5,7:6,8 | 1,12:2,10 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [5,7:6,8 | 1,11:2,9 | 10:12 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [1,3,12:2,4,10 | 9:11 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [1,3,11:2,4,9 | 10:12 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [7,12:8,10 | 1,3:2,4 | 9:11 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [7,11:8,9 | 1,3:2,4 | 10:12 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [5,12:6,10 | 1,3:2,4 | 9:11 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [5,11:6,9 | 1,3:2,4 | 10:12 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [5,7:6,8 | 10:12 | 9:11 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [1,3:2,4 | 10:12 | 9:11 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [5,7,12:6,8,10 | 9:11 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [5,7,11:6,8,9 | 10:12 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [5,7:6,8 | 3,12:4,10 | 9:11 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [5,7:6,8 | 3,11:4,9 | 10:12 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [5,7:6,8 | 1,12:2,10 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [5,7:6,8 | 1,11:2,9 | 10:12 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [1,3,12:2,4,10 | 9:11 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [1,3,11:2,4,9 | 10:12 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [5,12:6,10 | 1,3:2,4 | 9:11 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [5,11:6,9 | 1,3:2,4 | 10:12 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [5,7:6,8 | 10:12 | 9:11 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [1,3:2,4 | 10:12 | 9:11 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6:7,8 | 2,10:3,9 | 1,12:4,11], [5,7:6,8 | 1,4:2,3 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,11:3,4,9 | 10:12 | 6:7 | 5:8], [5,8:6,7 | 1,3:2,4 | 11:12 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 11:12 | 6:7 | 5:8], [5,8:6,7 | 1,3:2,4 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,11:6,9 | 1,3:2,4 | 10:12 | 7:8], [5,6:7,8 | 1,2:3,4 | 11:12 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,10:6,9 | 1,3:2,4 | 11:12 | 7:8], [5,6:7,8 | 1,2:3,4 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6:7,8 | 1,2:3,4 | 10:12 | 9:11], [1,3:2,4 | 11:12 | 9:10 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,3,12:2,4,10 | 5,11:6,9 | 7:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,3,11:2,4,9 | 5,12:6,10 | 7:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,7:6,8 | 3,12:4,10 | 1,11:2,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,7:6,8 | 3,11:4,9 | 1,12:2,10]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,3,11:2,4,9 | 10:12 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,12:6,10 | 1,3:2,4 | 9:11 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,11:6,9 | 1,3:2,4 | 10:12 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,3:2,4 | 10:12 | 9:11 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,10:3,4,9 | 6,12:7,11 | 5:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,8:6,7 | 1,3:2,4 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,3,10:2,4,9 | 5,12:6,11 | 7:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,6,9:7,8,11 | 1,2:3,4 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,3,10:2,4,9 | 5,12:6,11 | 7:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,6,11:7,8,9 | 1,2:3,4 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,3,10:2,4,9 | 5,12:6,11 | 7:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,11:3,4,9 | 5,6:7,8 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [5,7,11:6,8,9 | 10:12 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [5,7:6,8 | 1,12:2,10 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [5,7:6,8 | 1,11:2,9 | 10:12 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [1,3,11:2,4,9 | 10:12 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [5,11:6,9 | 1,3:2,4 | 10:12 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [5,7:6,8 | 10:12 | 9:11 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [1,3:2,4 | 10:12 | 9:11 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,6:7,8 | 2,10:3,9 | 1,12:4,11], [5,7:6,8 | 1,4:2,3 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,10:3,4,9 | 11:12 | 6:7 | 5:8], [5,8:6,7 | 1,3:2,4 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,10:6,9 | 1,3:2,4 | 11:12 | 7:8], [5,6:7,8 | 1,2:3,4 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,6:7,8 | 1,2:3,4 | 10:12 | 9:11], [1,3:2,4 | 11:12 | 9:10 | 7:8 | 5:6]
#
# The next 18 12-state UPBs arise as a form of (Shifts \otimes |0>) \cup (B7 \otimes |1>), where B7 is the following product basis of 3-qubit space:
# B7 = [1,2,3,4:5,6,7,8], [1,2,5,6:3,4,7,8], [3,7:4,8 | 1,5:2,6]
#
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,7,12:4,8,10 | 1,5,11:2,6,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,7,11:4,8,9 | 1,5,12:2,6,10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,7,12:4,8,10 | 1,5:2,6 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [1,3,12:2,4,10 | 5,7:6,8 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,7,11:4,8,9 | 1,5:2,6 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [1,3,11:2,4,9 | 5,7:6,8 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,7:4,8 | 1,5:2,6 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,7,11:6,8,9 | 1,3,12:2,4,10], [1,2,5,6:3,4,7,8 | 11:12 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,7,10:6,8,9 | 1,3,12:2,4,11], [1,2,5,6:3,4,7,8 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [3,7,10:4,8,9 | 1,5,12:2,6,11], [1,2,5,6:3,4,7,8 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [5,7,10:6,8,9 | 1,3:2,4 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,5,10:2,6,9 | 3,7:4,8 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,3,10:2,4,9 | 5,7:6,8 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [5,7:6,8 | 1,3:2,4 | 11:12 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [3,7:4,8 | 1,5:2,6 | 11:12 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [3,7,10:4,8,9 | 1,5,12:2,6,11], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,3,10:2,4,9 | 5,7:6,8 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [3,7:4,8 | 1,5:2,6 | 11:12 | 9:10]
#
# The next 85 12-state UPBs arise as a form of (Shifts \otimes |0>) \cup (B8 \otimes |1>), where B8 is the following product basis of 3-qubit space:
# B8 = [1,2,3,4:5,6,7,8], [1,6,7:2,5,8 | 3:4], [1,2,6:3,4,7 | 5:8]
#
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,6,7,9:2,5,8,11 | 3,12:4,10], [1,2,6,9:3,4,7,10 | 5,12:8,11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,6,7,11:2,5,8,9 | 3,12:4,10], [1,2,6,9:3,4,7,10 | 5,12:8,11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,6,7,11:2,5,8,9 | 3,12:4,10], [1,2,6,10:3,4,7,9 | 5,12:8,11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,6,7,9:2,5,8,10 | 3,12:4,11], [1,2,6,10:3,4,7,12 | 5,11:8,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,6,7,9:2,5,8,10 | 3,12:4,11], [1,2,6,12:3,4,7,10 | 5,11:8,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,6,7,9:2,5,8,10 | 3,12:4,11], [1,2,6,9:3,4,7,11 | 5,12:8,10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,6,7,10:2,5,8,9 | 3,12:4,11], [1,2,6,10:3,4,7,12 | 5,11:8,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,6,7,10:2,5,8,9 | 3,12:4,11], [1,2,6,12:3,4,7,10 | 5,11:8,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,6,7,10:2,5,8,9 | 3,12:4,11], [1,2,6,9:3,4,7,11 | 5,12:8,10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,6,7,10:2,5,8,9 | 3,12:4,11], [1,2,6,11:3,4,7,9 | 5,12:8,10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [3,6,7,11:4,5,8,12 | 9:10 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [3,6,7,12:4,5,8,11 | 9:10 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [3,6,7,9:4,5,8,10 | 11:12 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [3,6,7,10:4,5,8,9 | 11:12 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [1,6,7,11:2,5,8,12 | 9:10 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [1,6,7,12:2,5,8,11 | 9:10 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [1,6,7,9:2,5,8,10 | 11:12 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [1,6,7,10:2,5,8,9 | 11:12 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [3,6,7:4,5,8 | 1,12:2,11 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [1,6,7:2,5,8 | 3,12:4,11 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [3,6,7:4,5,8 | 1,10:2,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [1,6,7:2,5,8 | 3,10:4,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [3,6,7:4,5,8 | 11:12 | 9:10 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [1,6,7:2,5,8 | 11:12 | 9:10 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [3,6,7,10:4,5,8,12 | 9:11 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [3,6,7,12:4,5,8,10 | 9:11 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [3,6,7,9:4,5,8,11 | 10:12 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [3,6,7,11:4,5,8,9 | 10:12 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [1,6,7,10:2,5,8,12 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [1,6,7,12:2,5,8,10 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [1,6,7,9:2,5,8,11 | 10:12 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [1,6,7,11:2,5,8,9 | 10:12 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [3,6,7:4,5,8 | 1,12:2,10 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [1,6,7:2,5,8 | 3,12:4,10 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [3,6,7:4,5,8 | 1,11:2,9 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [1,6,7:2,5,8 | 3,11:4,9 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [3,6,7:4,5,8 | 10:12 | 9:11 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [1,6,7:2,5,8 | 10:12 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,6,7,9:2,5,8,11 | 10:12 | 3:4], [1,2,6,9:3,4,7,10 | 11:12 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,6,7,11:2,5,8,9 | 10:12 | 3:4], [1,2,6,9:3,4,7,10 | 11:12 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,6,7,11:2,5,8,9 | 10:12 | 3:4], [1,2,6,10:3,4,7,9 | 11:12 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,6,7,9:2,5,8,10 | 11:12 | 3:4], [1,2,6,10:3,4,7,12 | 9:11 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,6,7,9:2,5,8,10 | 11:12 | 3:4], [1,2,6,12:3,4,7,10 | 9:11 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,6,7,9:2,5,8,10 | 11:12 | 3:4], [1,2,6,9:3,4,7,11 | 10:12 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,6,7,10:2,5,8,9 | 11:12 | 3:4], [1,2,6,10:3,4,7,12 | 9:11 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,6,7,10:2,5,8,9 | 11:12 | 3:4], [1,2,6,12:3,4,7,10 | 9:11 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,6,7,10:2,5,8,9 | 11:12 | 3:4], [1,2,6,9:3,4,7,11 | 10:12 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,6,7,10:2,5,8,9 | 11:12 | 3:4], [1,2,6,11:3,4,7,9 | 10:12 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 10:12 | 5:8], [3,6,7:4,5,8 | 1,12:2,11 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 10:12 | 5:8], [1,6,7:2,5,8 | 3,12:4,11 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 10:12 | 5:8], [3,6,7:4,5,8 | 1,10:2,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 10:12 | 5:8], [1,6,7:2,5,8 | 3,10:4,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 10:12 | 5:8], [3,6,7:4,5,8 | 11:12 | 9:10 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 10:12 | 5:8], [1,6,7:2,5,8 | 11:12 | 9:10 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [3,6,7:4,5,8 | 1,12:2,10 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [1,6,7:2,5,8 | 3,12:4,10 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [3,6,7:4,5,8 | 1,11:2,9 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [1,6,7:2,5,8 | 3,11:4,9 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [3,6,7:4,5,8 | 10:12 | 9:11 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [1,6,7:2,5,8 | 10:12 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,4,5:2,3,6 | 7,12:8,10 | 9:11], [2,5,6:3,7,8 | 1,10:4,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,6,7:2,5,8 | 3,11:4,9 | 10:12], [1,2,6:3,4,7 | 5,10:8,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,4,5:2,3,6 | 7,11:8,9 | 10:12], [2,5,6:3,7,8 | 1,10:4,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [2,5,6:3,7,8 | 1,10:4,9 | 11:12], [1,4,5:2,3,6 | 10:12 | 9:11 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6:3,4,7 | 5,10:8,9 | 11:12], [1,6,7:2,5,8 | 10:12 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,6,7:2,5,8 | 10:12 | 9:11 | 3:4], [1,2,6:3,4,7 | 11:12 | 9:10 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,11:3,4,6,9 | 5,12:7,10], [1,3,6,8:2,4,5,7 | 11:12 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,9:3,4,6,10 | 5,12:7,11], [1,3,6,8:2,4,5,7 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,10:3,4,6,9 | 5,12:7,11], [1,3,6,8:2,4,5,7 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,3,8,9:2,4,5,11 | 10:12 | 6:7], [1,2,5,8:3,4,6,7 | 11:12 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,3,8,11:2,4,5,9 | 10:12 | 6:7], [1,2,5,8:3,4,6,7 | 11:12 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,3,8,9:2,4,5,10 | 11:12 | 6:7], [1,2,5,8:3,4,6,7 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,3,8,10:2,4,5,9 | 11:12 | 6:7], [1,2,5,8:3,4,6,7 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,5,8:3,4,6,7 | 10:12 | 9:11], [1,6,8:2,5,7 | 3,10:4,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,5,8:3,4,6,7 | 10:12 | 9:11], [1,3,8:2,4,5 | 6,10:7,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,5,8:3,4,6,7 | 10:12 | 9:11], [1,3,8:2,4,5 | 11:12 | 9:10 | 6:7]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,6,7,10:2,5,8,9 | 11:12 | 3:4], [1,2,6,10:3,4,7,12 | 9:11 | 5:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,6,7,10:2,5,8,9 | 11:12 | 3:4], [1,2,6,9:3,4,7,11 | 10:12 | 5:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,6,7,10:2,5,8,9 | 11:12 | 3:4], [1,2,6,11:3,4,7,9 | 10:12 | 5:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [3,6,7:4,5,8 | 1,11:2,9 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,6,7:2,5,8 | 3,11:4,9 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,6,7:2,5,8 | 10:12 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,4,5:2,3,6 | 7,11:8,9 | 10:12], [2,5,6:3,7,8 | 1,10:4,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,6:3,4,7 | 5,10:8,9 | 11:12], [1,6,7:2,5,8 | 10:12 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,6,7:2,5,8 | 10:12 | 9:11 | 3:4], [1,2,6:3,4,7 | 11:12 | 9:10 | 5:8]
#
# The next 13 12-state UPBs arise as a form of (Shifts \otimes |0>) \cup (B9 \otimes |1>), where B9 is the following product basis of 3-qubit space:
# B9 = [1,2,3,4:5,6,7,8], [1,2,5,6:3,4,7,8], [3,5:4,6 | 1,7:2,8]
#
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,5,12:4,6,10 | 1,7,11:2,8,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,5,11:4,6,9 | 1,7,12:2,8,10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,5,12:4,6,10 | 1,7:2,8 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [1,7,12:2,8,10 | 3,5:4,6 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,5,11:4,6,9 | 1,7:2,8 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [1,7,11:2,8,9 | 3,5:4,6 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,5:4,6 | 1,7:2,8 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [3,5,10:4,6,9 | 1,7,12:2,8,11], [1,2,5,6:3,4,7,8 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,7,10:2,8,9 | 3,5:4,6 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [3,5:4,6 | 1,7:2,8 | 11:12 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [3,5,10:4,6,9 | 1,7,12:2,8,11], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,7,10:2,8,9 | 3,5:4,6 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [3,5:4,6 | 1,7:2,8 | 11:12 | 9:10]
#
# The next 34 12-state UPBs arise as a form of (Shifts \otimes |0>) \cup (B10 \otimes |1>), where B10 is the following product basis of 3-qubit space:
# B10 = [1,2,3,4:5,6,7,8], [1,2,5,6:3,4,7,8], [1,7:2,8 | 5:6 | 3:4]
#
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,5,12:4,6,10 | 7,11:8,9 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,5,11:4,6,9 | 7,12:8,10 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [1,7,12:2,8,10 | 3,11:4,9 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [1,7,11:2,8,9 | 3,12:4,10 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,5,12:4,6,10 | 1,11:2,9 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,5,11:4,6,9 | 1,12:2,10 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [5,11:6,9 | 3,12:4,10 | 1,7:2,8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [7,12:8,10 | 3,5:4,6 | 1,11:2,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [7,11:8,9 | 3,5:4,6 | 1,12:2,10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,5,12:4,6,10 | 9:11 | 7:8 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,5,11:4,6,9 | 10:12 | 7:8 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [7,12:8,10 | 3,5:4,6 | 9:11 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [7,11:8,9 | 3,5:4,6 | 10:12 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [1,7,12:2,8,10 | 9:11 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [1,7,11:2,8,9 | 10:12 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,12:4,10 | 1,7:2,8 | 9:11 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,11:4,9 | 1,7:2,8 | 10:12 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,5:4,6 | 1,12:2,10 | 9:11 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,5:4,6 | 1,11:2,9 | 10:12 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,5:4,6 | 10:12 | 9:11 | 7:8 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [1,7:2,8 | 10:12 | 9:11 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [3,5,11:4,6,9 | 1,12:2,10 | 7:8], [1,2,5,6:3,4,7,8 | 11:12 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [3,5,10:4,6,9 | 1,12:2,11 | 7:8], [1,2,5,6:3,4,7,8 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [7,12:8,11 | 3,5:4,6 | 1,10:2,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [7,10:8,9 | 3,5:4,6 | 1,12:2,11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,7,10:2,8,9 | 11:12 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [3,5:4,6 | 1,12:2,11 | 9:10 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [3,5:4,6 | 1,10:2,9 | 11:12 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,7:2,8 | 11:12 | 9:10 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [3,5,10:4,6,9 | 1,12:2,11 | 7:8], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [7,10:8,9 | 3,5:4,6 | 1,12:2,11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,7,10:2,8,9 | 11:12 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [3,5:4,6 | 1,10:2,9 | 11:12 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,7:2,8 | 11:12 | 9:10 | 5:6 | 3:4]
#
# The next 26 12-state UPBs arise as a form of (Shifts \otimes |0>) \cup (B11 \otimes |1>), where B11 is the following product basis of 3-qubit space:
# B11 = [1,2,3,4:5,6,7,8], [1,2,5,6:3,4,7,8], [7:8 | 5:6 | 3:4 | 1:2]
#
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [7,12:8,10 | 3,11:4,9 | 5:6 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [7,11:8,9 | 3,12:4,10 | 5:6 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [5,11:6,9 | 3,12:4,10 | 7:8 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [7,12:8,10 | 1,11:2,9 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [7,11:8,9 | 1,12:2,10 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,12:4,10 | 1,11:2,9 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,11:4,9 | 1,12:2,10 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [7,12:8,10 | 9:11 | 5:6 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [7,11:8,9 | 10:12 | 5:6 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,12:4,10 | 9:11 | 7:8 | 5:6 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [3,11:4,9 | 10:12 | 7:8 | 5:6 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [1,12:2,10 | 9:11 | 7:8 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [1,11:2,9 | 10:12 | 7:8 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6,10:3,4,7,8,9 | 11:12], [10:12 | 9:11 | 7:8 | 5:6 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [7,12:8,11 | 1,10:2,9 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [7,10:8,9 | 1,12:2,11 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [5,12:6,11 | 1,10:2,9 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [5,10:6,9 | 1,12:2,11 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [3,10:4,9 | 1,12:2,11 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,12:2,11 | 9:10 | 7:8 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,10:2,9 | 11:12 | 7:8 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [11:12 | 9:10 | 7:8 | 5:6 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [7,10:8,9 | 1,12:2,11 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [3,10:4,9 | 1,12:2,11 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,10:2,9 | 11:12 | 7:8 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,5,6:3,4,7,8 | 10:12 | 9:11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [11:12 | 9:10 | 7:8 | 5:6 | 3:4 | 1:2]
#
# The next 143 12-state UPBs arise as a form of (Shifts \otimes |0>) \cup (B12 \otimes |1>), where B12 is the following product basis of 3-qubit space:
# B12 = [1,2,3,4:5,6,7,8], [1,2,6:3,4,7 | 5:8], [5,8:6,7 | 3:4 | 1:2]
#
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [5,8,11:6,7,12 | 3,10:4,9 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [5,8,12:6,7,11 | 3,10:4,9 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [5,8,9:6,7,10 | 3,12:4,11 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [5,8,10:6,7,9 | 3,12:4,11 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [5,8,11:6,7,12 | 1,10:2,9 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [5,8,12:6,7,11 | 1,10:2,9 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [5,8,9:6,7,10 | 1,12:2,11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [5,8,10:6,7,9 | 1,12:2,11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [5,8:6,7 | 3,12:4,11 | 1,10:2,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [5,8:6,7 | 3,10:4,9 | 1,12:2,11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [5,8,11:6,7,12 | 9:10 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [5,8,12:6,7,11 | 9:10 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [5,8,9:6,7,10 | 11:12 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [5,8,10:6,7,9 | 11:12 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [5,8:6,7 | 3,12:4,11 | 9:10 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [5,8:6,7 | 3,10:4,9 | 11:12 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [5,8:6,7 | 1,12:2,11 | 9:10 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [5,8:6,7 | 1,10:2,9 | 11:12 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 5,12:8,10], [5,8:6,7 | 11:12 | 9:10 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [5,8,10:6,7,12 | 3,11:4,9 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [5,8,12:6,7,10 | 3,11:4,9 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [5,8,9:6,7,11 | 3,12:4,10 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [5,8,11:6,7,9 | 3,12:4,10 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [5,8,10:6,7,12 | 1,11:2,9 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [5,8,12:6,7,10 | 1,11:2,9 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [5,8,9:6,7,11 | 1,12:2,10 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [5,8,11:6,7,9 | 1,12:2,10 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [5,8:6,7 | 3,12:4,10 | 1,11:2,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [5,8:6,7 | 3,11:4,9 | 1,12:2,10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [5,8,10:6,7,12 | 9:11 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [5,8,12:6,7,10 | 9:11 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [5,8,9:6,7,11 | 10:12 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [5,8,11:6,7,9 | 10:12 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [5,8:6,7 | 3,12:4,10 | 9:11 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [5,8:6,7 | 3,11:4,9 | 10:12 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [5,8:6,7 | 1,12:2,10 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [5,8:6,7 | 1,11:2,9 | 10:12 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 5,12:8,11], [5,8:6,7 | 10:12 | 9:11 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8,9:6,7,11 | 1,12:2,10 | 3:4], [1,2,6,11:3,4,7,12 | 9:10 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8,9:6,7,11 | 1,12:2,10 | 3:4], [1,2,6,12:3,4,7,11 | 9:10 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8,9:6,7,11 | 1,12:2,10 | 3:4], [1,2,6,9:3,4,7,10 | 11:12 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8,9:6,7,11 | 1,12:2,10 | 3:4], [1,2,6,10:3,4,7,9 | 11:12 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8,11:6,7,9 | 1,12:2,10 | 3:4], [1,2,6,11:3,4,7,12 | 9:10 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8,11:6,7,9 | 1,12:2,10 | 3:4], [1,2,6,12:3,4,7,11 | 9:10 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8,11:6,7,9 | 1,12:2,10 | 3:4], [1,2,6,9:3,4,7,10 | 11:12 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8,11:6,7,9 | 1,12:2,10 | 3:4], [1,2,6,10:3,4,7,9 | 11:12 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8,9:6,7,10 | 1,12:2,11 | 3:4], [1,2,6,10:3,4,7,12 | 9:11 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8,9:6,7,10 | 1,12:2,11 | 3:4], [1,2,6,12:3,4,7,10 | 9:11 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8,9:6,7,10 | 1,12:2,11 | 3:4], [1,2,6,9:3,4,7,11 | 10:12 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8,9:6,7,10 | 1,12:2,11 | 3:4], [1,2,6,11:3,4,7,9 | 10:12 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8,10:6,7,9 | 1,12:2,11 | 3:4], [1,2,6,10:3,4,7,12 | 9:11 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8,10:6,7,9 | 1,12:2,11 | 3:4], [1,2,6,12:3,4,7,10 | 9:11 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8,10:6,7,9 | 1,12:2,11 | 3:4], [1,2,6,9:3,4,7,11 | 10:12 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8,10:6,7,9 | 1,12:2,11 | 3:4], [1,2,6,11:3,4,7,9 | 10:12 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 10:12 | 5:8], [5,8:6,7 | 3,12:4,11 | 1,10:2,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 10:12 | 5:8], [5,8:6,7 | 3,10:4,9 | 1,12:2,11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 10:12 | 5:8], [5,8,11:6,7,12 | 9:10 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 10:12 | 5:8], [5,8,12:6,7,11 | 9:10 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 10:12 | 5:8], [5,8,9:6,7,10 | 11:12 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 10:12 | 5:8], [5,8,10:6,7,9 | 11:12 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 10:12 | 5:8], [5,8:6,7 | 3,12:4,11 | 9:10 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 10:12 | 5:8], [5,8:6,7 | 3,10:4,9 | 11:12 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 10:12 | 5:8], [5,8:6,7 | 1,12:2,11 | 9:10 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 10:12 | 5:8], [5,8:6,7 | 1,10:2,9 | 11:12 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,11:3,4,7,9 | 10:12 | 5:8], [5,8:6,7 | 11:12 | 9:10 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [5,8:6,7 | 3,12:4,10 | 1,11:2,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [5,8:6,7 | 3,11:4,9 | 1,12:2,10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [5,8,10:6,7,12 | 9:11 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [5,8,12:6,7,10 | 9:11 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [5,8,9:6,7,11 | 10:12 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [5,8,11:6,7,9 | 10:12 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [5,8:6,7 | 3,12:4,10 | 9:11 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [5,8:6,7 | 3,11:4,9 | 10:12 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [5,8:6,7 | 1,12:2,10 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [5,8:6,7 | 1,11:2,9 | 10:12 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [5,8:6,7 | 10:12 | 9:11 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,11:3,4,9 | 6,12:7,10 | 5:8], [3,6,7:4,5,8 | 11:12 | 9:10 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,11:3,4,9 | 6,12:7,10 | 5:8], [1,6,7:2,5,8 | 11:12 | 9:10 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 6,12:7,11 | 5:8], [3,6,7:4,5,8 | 10:12 | 9:11 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 6,12:7,11 | 5:8], [1,6,7:2,5,8 | 10:12 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,4,9:2,3,11 | 5,12:6,10 | 7:8], [2,5,6:3,7,8 | 1,12:4,11 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,4,9:2,3,11 | 5,12:6,10 | 7:8], [2,5,6:3,7,8 | 1,10:4,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,4,11:2,3,9 | 5,12:6,10 | 7:8], [2,5,6:3,7,8 | 1,12:4,11 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,4,11:2,3,9 | 5,12:6,10 | 7:8], [2,5,6:3,7,8 | 1,10:4,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,4,9:2,3,10 | 5,12:6,11 | 7:8], [2,5,6:3,7,8 | 1,12:4,10 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,4,9:2,3,10 | 5,12:6,11 | 7:8], [2,5,6:3,7,8 | 1,11:4,9 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,4,10:2,3,9 | 5,12:6,11 | 7:8], [2,5,6:3,7,8 | 1,12:4,10 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,4,10:2,3,9 | 5,12:6,11 | 7:8], [2,5,6:3,7,8 | 1,11:4,9 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [2,5,6:3,7,8 | 1,10:4,9 | 11:12], [1,4,10:2,3,12 | 9:11 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [2,5,6:3,7,8 | 1,10:4,9 | 11:12], [1,4,12:2,3,10 | 9:11 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [2,5,6:3,7,8 | 1,10:4,9 | 11:12], [1,4,9:2,3,11 | 10:12 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [2,5,6:3,7,8 | 1,10:4,9 | 11:12], [1,4,11:2,3,9 | 10:12 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [2,5,6:3,7,8 | 1,10:4,9 | 11:12], [5,12:6,10 | 1,4:2,3 | 9:11 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [2,5,6:3,7,8 | 1,10:4,9 | 11:12], [5,11:6,9 | 1,4:2,3 | 10:12 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [2,5,6:3,7,8 | 1,10:4,9 | 11:12], [1,4:2,3 | 10:12 | 9:11 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6:3,4,7 | 5,10:8,9 | 11:12], [5,8,10:6,7,12 | 9:11 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6:3,4,7 | 5,10:8,9 | 11:12], [5,8,12:6,7,10 | 9:11 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6:3,4,7 | 5,10:8,9 | 11:12], [5,8,9:6,7,11 | 10:12 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6:3,4,7 | 5,10:8,9 | 11:12], [5,8,11:6,7,9 | 10:12 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6:3,4,7 | 5,10:8,9 | 11:12], [5,8:6,7 | 1,12:2,10 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6:3,4,7 | 5,10:8,9 | 11:12], [5,8:6,7 | 1,11:2,9 | 10:12 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6:3,4,7 | 5,10:8,9 | 11:12], [5,8:6,7 | 10:12 | 9:11 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8:6,7 | 3,10:4,9 | 1,12:2,11], [1,2,6:3,4,7 | 10:12 | 9:11 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,6,7:2,5,8 | 10:12 | 9:11 | 3:4], [1,2,11:3,4,12 | 9:10 | 6:7 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,6,7:2,5,8 | 10:12 | 9:11 | 3:4], [1,2,12:3,4,11 | 9:10 | 6:7 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,6,7:2,5,8 | 10:12 | 9:11 | 3:4], [1,2,9:3,4,10 | 11:12 | 6:7 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,6,7:2,5,8 | 10:12 | 9:11 | 3:4], [1,2,10:3,4,9 | 11:12 | 6:7 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8:6,7 | 1,11:2,9 | 10:12 | 3:4], [1,2,6:3,4,7 | 11:12 | 9:10 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8:6,7 | 1,10:2,9 | 11:12 | 3:4], [1,2,6:3,4,7 | 10:12 | 9:11 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,6:3,4,7 | 10:12 | 9:11 | 5:8], [5,8:6,7 | 11:12 | 9:10 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,8,9:2,5,11 | 3,12:4,10 | 6:7], [1,2,5,8:3,4,6,7 | 11:12 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,8,11:2,5,9 | 3,12:4,10 | 6:7], [1,2,5,8:3,4,6,7 | 11:12 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,8,9:2,5,10 | 3,12:4,11 | 6:7], [1,2,5,8:3,4,6,7 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,8,10:2,5,9 | 3,12:4,11 | 6:7], [1,2,5,8:3,4,6,7 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,5,8:3,4,6,7 | 10:12 | 9:11], [6,12:7,11 | 3,10:4,9 | 1,8:2,5]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,5,8:3,4,6,7 | 10:12 | 9:11], [6,10:7,9 | 3,12:4,11 | 1,8:2,5]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,5,8:3,4,6,7 | 10:12 | 9:11], [1,8,9:2,5,10 | 11:12 | 6:7 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,5,8:3,4,6,7 | 10:12 | 9:11], [1,8,10:2,5,9 | 11:12 | 6:7 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,5,8:3,4,6,7 | 10:12 | 9:11], [3,12:4,11 | 1,8:2,5 | 9:10 | 6:7]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,5,8:3,4,6,7 | 10:12 | 9:11], [3,10:4,9 | 1,8:2,5 | 11:12 | 6:7]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,5,8:3,4,6,7 | 10:12 | 9:11], [1,8:2,5 | 11:12 | 9:10 | 6:7 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,8,10:6,7,9 | 1,12:2,11 | 3:4], [1,2,6,10:3,4,7,12 | 9:11 | 5:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,8,10:6,7,9 | 1,12:2,11 | 3:4], [1,2,6,12:3,4,7,10 | 9:11 | 5:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,8,10:6,7,9 | 1,12:2,11 | 3:4], [1,2,6,9:3,4,7,11 | 10:12 | 5:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,8,10:6,7,9 | 1,12:2,11 | 3:4], [1,2,6,11:3,4,7,9 | 10:12 | 5:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,8:6,7 | 3,12:4,10 | 1,11:2,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,8:6,7 | 3,11:4,9 | 1,12:2,10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,8,9:6,7,11 | 10:12 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,8,11:6,7,9 | 10:12 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,8:6,7 | 1,12:2,10 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,8:6,7 | 1,11:2,9 | 10:12 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,6,10:3,4,7,9 | 11:12 | 5:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,8:6,7 | 10:12 | 9:11 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,10:3,4,9 | 6,12:7,11 | 5:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,6,7:2,5,8 | 10:12 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,4,10:2,3,9 | 5,12:6,11 | 7:8], [2,5,6:3,7,8 | 1,12:4,10 | 9:11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,4,10:2,3,9 | 5,12:6,11 | 7:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [2,5,6:3,7,8 | 1,11:4,9 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,6:3,4,7 | 5,10:8,9 | 11:12], [5,8,9:6,7,11 | 10:12 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,6:3,4,7 | 5,10:8,9 | 11:12], [5,8,11:6,7,9 | 10:12 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,6:3,4,7 | 5,10:8,9 | 11:12], [5,8:6,7 | 1,11:2,9 | 10:12 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,6:3,4,7 | 5,10:8,9 | 11:12], [5,8:6,7 | 10:12 | 9:11 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,8:6,7 | 3,10:4,9 | 1,12:2,11], [1,2,6:3,4,7 | 10:12 | 9:11 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,6,7:2,5,8 | 10:12 | 9:11 | 3:4], [1,2,10:3,4,9 | 11:12 | 6:7 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,8:6,7 | 1,10:2,9 | 11:12 | 3:4], [1,2,6:3,4,7 | 10:12 | 9:11 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,6:3,4,7 | 10:12 | 9:11 | 5:8], [5,8:6,7 | 11:12 | 9:10 | 3:4 | 1:2]
#
# The next 51 12-state UPBs arise as a form of (Shifts \otimes |0>) \cup (B13 \otimes |1>), where B13 is the following product basis of 3-qubit space:
# B13 = [1,2,3,4:5,6,7,8], [5,8:6,7 | 1,4:2,3], [2,6:3,7 | 1,5:4,8]
#
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [3,7,10:4,8,9 | 1,5:2,6 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [3,5,10:4,6,9 | 1,7:2,8 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [1,7,10:2,8,9 | 3,5:4,6 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [1,5,10:2,6,9 | 3,7:4,8 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [3,7:4,8 | 1,5:2,6 | 11:12 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [3,5:4,6 | 1,7:2,8 | 11:12 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [3,7,11:4,8,9 | 1,5:2,6 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [3,5,11:4,6,9 | 1,7:2,8 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,7,11:2,8,9 | 3,5:4,6 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,5,11:2,6,9 | 3,7:4,8 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [3,7:4,8 | 1,5:2,6 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [3,5:4,6 | 1,7:2,8 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8,9:6,7,11 | 1,4,12:2,3,10], [2,6,10:3,7,9 | 1,5,12:4,8,11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8,11:6,7,9 | 1,4,12:2,3,10], [2,6,12:3,7,11 | 1,5,10:4,8,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8,11:6,7,9 | 1,4,12:2,3,10], [2,6,10:3,7,9 | 1,5,12:4,8,11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8,9:6,7,10 | 1,4,12:2,3,11], [2,6,11:3,7,9 | 1,5,12:4,8,10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8,10:6,7,9 | 1,4,12:2,3,11], [2,6,12:3,7,10 | 1,5,11:4,8,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8,10:6,7,9 | 1,4,12:2,3,11], [2,6,11:3,7,9 | 1,5,12:4,8,10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [2,6,10:3,7,9 | 1,5,12:4,8,11], [5,8,9:6,7,11 | 1,4:2,3 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [2,6,10:3,7,9 | 1,5,12:4,8,11], [5,8,11:6,7,9 | 1,4:2,3 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [2,6,10:3,7,9 | 1,5,12:4,8,11], [1,4,9:2,3,11 | 5,8:6,7 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [2,6,10:3,7,9 | 1,5,12:4,8,11], [1,4,11:2,3,9 | 5,8:6,7 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [2,6,10:3,7,9 | 1,5,12:4,8,11], [5,8:6,7 | 1,4:2,3 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,5,12:2,6,10 | 3,7:4,8 | 9:11], [5,6,9:7,8,10 | 1,2:3,4 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,5,12:2,6,10 | 3,7:4,8 | 9:11], [5,6,10:7,8,9 | 1,2:3,4 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,4,10:2,3,12 | 5,8:6,7 | 9:11], [2,6,10:3,7,9 | 1,5:4,8 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,4,12:2,3,10 | 5,8:6,7 | 9:11], [2,6,10:3,7,9 | 1,5:4,8 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,5,11:2,6,9 | 3,7:4,8 | 10:12], [1,2,9:3,4,10 | 5,6:7,8 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,5,11:2,6,9 | 3,7:4,8 | 10:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,4,9:2,3,11 | 5,8:6,7 | 10:12], [2,6,10:3,7,9 | 1,5:4,8 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,4,11:2,3,9 | 5,8:6,7 | 10:12], [2,6,10:3,7,9 | 1,5:4,8 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [3,5:4,6 | 1,7:2,8 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [2,6,10:3,7,9 | 1,5:4,8 | 11:12], [5,8:6,7 | 1,4:2,3 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [3,5:4,6 | 1,7:2,8 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [3,5:4,6 | 1,7:2,8 | 11:12 | 9:10], [5,6:7,8 | 1,2:3,4 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [3,7,11:4,8,9 | 1,5:2,6 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,7,11:2,8,9 | 3,5:4,6 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,5,11:2,6,9 | 3,7:4,8 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [3,7:4,8 | 1,5:2,6 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [3,5:4,6 | 1,7:2,8 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,8,9:6,7,10 | 1,4,12:2,3,11], [2,6,11:3,7,9 | 1,5,12:4,8,10], [1,2,3,4:5,6,7,8 | 10:11 | 9:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,8,10:6,7,9 | 1,4,12:2,3,11], [2,6,12:3,7,10 | 1,5,11:4,8,9], [1,2,3,4:5,6,7,8 | 10:11 | 9:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,8,10:6,7,9 | 1,4,12:2,3,11], [2,6,11:3,7,9 | 1,5,12:4,8,10], [1,2,3,4:5,6,7,8 | 10:11 | 9:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,6,10:3,7,9 | 1,5,12:4,8,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,4,9:2,3,11 | 5,8:6,7 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,6,10:3,7,9 | 1,5,12:4,8,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,4,11:2,3,9 | 5,8:6,7 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,6,10:3,7,9 | 1,5,12:4,8,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,8:6,7 | 1,4:2,3 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,4,9:2,3,11 | 5,8:6,7 | 10:12], [2,6,10:3,7,9 | 1,5:4,8 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,4,11:2,3,9 | 5,8:6,7 | 10:12], [2,6,10:3,7,9 | 1,5:4,8 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [2,6,10:3,7,9 | 1,5:4,8 | 11:12], [5,8:6,7 | 1,4:2,3 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [3,5:4,6 | 1,7:2,8 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [3,5:4,6 | 1,7:2,8 | 11:12 | 9:10], [5,6:7,8 | 1,2:3,4 | 10:12 | 9:11]
#
# The next 142 12-state UPBs arise as a form of (Shifts \otimes |0>) \cup (B14 \otimes |1>), where B14 is the following product basis of 3-qubit space:
# B14 = [1,2,3,4:5,6,7,8], [5,6:7,8 | 1,2:3,4], [1,5:2,6 | 7:8 | 3:4]
#
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [3,7,12:4,8,11 | 1,10:2,9 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [3,7,10:4,8,9 | 1,12:2,11 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [1,7,12:2,8,11 | 3,10:4,9 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [1,7,10:2,8,9 | 3,12:4,11 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [3,5,12:4,6,11 | 1,10:2,9 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [3,5,10:4,6,9 | 1,12:2,11 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [1,5,12:2,6,11 | 3,10:4,9 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [1,5,10:2,6,9 | 3,12:4,11 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [5,12:6,11 | 3,10:4,9 | 1,7:2,8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [5,10:6,9 | 3,12:4,11 | 1,7:2,8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [7,12:8,11 | 3,5:4,6 | 1,10:2,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [5,12:6,11 | 3,7:4,8 | 1,10:2,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [7,10:8,9 | 3,5:4,6 | 1,12:2,11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [5,10:6,9 | 3,7:4,8 | 1,12:2,11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [3,5,10:4,6,9 | 11:12 | 7:8 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [1,7,10:2,8,9 | 11:12 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [1,5,12:2,6,11 | 9:10 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [1,5,10:2,6,9 | 11:12 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [3,12:4,11 | 1,7:2,8 | 9:10 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [3,7:4,8 | 1,12:2,11 | 9:10 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [3,10:4,9 | 1,7:2,8 | 11:12 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [3,7:4,8 | 1,10:2,9 | 11:12 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [3,12:4,11 | 1,5:2,6 | 9:10 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [3,5:4,6 | 1,12:2,11 | 9:10 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [3,10:4,9 | 1,5:2,6 | 11:12 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [3,5:4,6 | 1,10:2,9 | 11:12 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [3,5:4,6 | 11:12 | 9:10 | 7:8 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [1,7:2,8 | 11:12 | 9:10 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [1,5:2,6 | 11:12 | 9:10 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [3,7,12:4,8,10 | 1,11:2,9 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [3,7,11:4,8,9 | 1,12:2,10 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,7,12:2,8,10 | 3,11:4,9 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,7,11:2,8,9 | 3,12:4,10 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [3,5,12:4,6,10 | 1,11:2,9 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [3,5,11:4,6,9 | 1,12:2,10 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,5,12:2,6,10 | 3,11:4,9 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,5,11:2,6,9 | 3,12:4,10 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [5,12:6,10 | 3,11:4,9 | 1,7:2,8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [5,11:6,9 | 3,12:4,10 | 1,7:2,8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [7,12:8,10 | 3,5:4,6 | 1,11:2,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [5,12:6,10 | 3,7:4,8 | 1,11:2,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [7,11:8,9 | 3,5:4,6 | 1,12:2,10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [5,11:6,9 | 3,7:4,8 | 1,12:2,10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [3,5,11:4,6,9 | 10:12 | 7:8 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,7,11:2,8,9 | 10:12 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,5,12:2,6,10 | 9:11 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,5,11:2,6,9 | 10:12 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [3,12:4,10 | 1,7:2,8 | 9:11 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [3,7:4,8 | 1,12:2,10 | 9:11 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [3,11:4,9 | 1,7:2,8 | 10:12 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [3,7:4,8 | 1,11:2,9 | 10:12 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [3,12:4,10 | 1,5:2,6 | 9:11 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [3,5:4,6 | 1,12:2,10 | 9:11 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [3,11:4,9 | 1,5:2,6 | 10:12 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [3,5:4,6 | 1,11:2,9 | 10:12 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [3,5:4,6 | 10:12 | 9:11 | 7:8 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,7:2,8 | 10:12 | 9:11 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,5:2,6 | 10:12 | 9:11 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [2,6,11:3,7,9 | 1,12:4,10 | 5:8], [5,8:6,7 | 1,4:2,3 | 11:12 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [2,6,10:3,7,9 | 1,12:4,11 | 5:8], [5,8:6,7 | 1,4:2,3 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,5,11:2,6,9 | 3,12:4,10 | 7:8], [5,6,11:7,8,12 | 1,2:3,4 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,5,11:2,6,9 | 3,12:4,10 | 7:8], [5,6,12:7,8,11 | 1,2:3,4 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,5,11:2,6,9 | 3,12:4,10 | 7:8], [1,2,11:3,4,12 | 5,6:7,8 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,5,11:2,6,9 | 3,12:4,10 | 7:8], [1,2,12:3,4,11 | 5,6:7,8 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,5,11:2,6,9 | 3,12:4,10 | 7:8], [5,6,9:7,8,10 | 1,2:3,4 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,5,11:2,6,9 | 3,12:4,10 | 7:8], [5,6,10:7,8,9 | 1,2:3,4 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,5,11:2,6,9 | 3,12:4,10 | 7:8], [1,2,9:3,4,10 | 5,6:7,8 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,5,11:2,6,9 | 3,12:4,10 | 7:8], [1,2,10:3,4,9 | 5,6:7,8 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,5,10:2,6,9 | 3,12:4,11 | 7:8], [5,6,10:7,8,12 | 1,2:3,4 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,5,10:2,6,9 | 3,12:4,11 | 7:8], [5,6,12:7,8,10 | 1,2:3,4 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,5,10:2,6,9 | 3,12:4,11 | 7:8], [1,2,10:3,4,12 | 5,6:7,8 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,5,10:2,6,9 | 3,12:4,11 | 7:8], [1,2,12:3,4,10 | 5,6:7,8 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,5,10:2,6,9 | 3,12:4,11 | 7:8], [5,6,9:7,8,11 | 1,2:3,4 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,5,10:2,6,9 | 3,12:4,11 | 7:8], [5,6,11:7,8,9 | 1,2:3,4 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,5,10:2,6,9 | 3,12:4,11 | 7:8], [1,2,9:3,4,11 | 5,6:7,8 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,5,10:2,6,9 | 3,12:4,11 | 7:8], [1,2,11:3,4,9 | 5,6:7,8 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [1,7,12:2,8,10 | 9:11 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [1,7,11:2,8,9 | 10:12 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [1,5,12:2,6,10 | 9:11 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [1,5,11:2,6,9 | 10:12 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [7,12:8,10 | 1,5:2,6 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [5,12:6,10 | 1,7:2,8 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [7,11:8,9 | 1,5:2,6 | 10:12 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [5,11:6,9 | 1,7:2,8 | 10:12 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [3,7:4,8 | 1,12:2,10 | 9:11 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [3,7:4,8 | 1,11:2,9 | 10:12 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [3,5:4,6 | 1,12:2,10 | 9:11 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [3,5:4,6 | 1,11:2,9 | 10:12 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [1,7:2,8 | 10:12 | 9:11 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [1,5:2,6 | 10:12 | 9:11 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [3,5,12:4,6,10 | 9:11 | 7:8 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [3,5,11:4,6,9 | 10:12 | 7:8 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [5,12:6,10 | 3,7:4,8 | 9:11 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [5,11:6,9 | 3,7:4,8 | 10:12 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [1,5,12:2,6,10 | 9:11 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [1,5,11:2,6,9 | 10:12 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [5,12:6,10 | 1,7:2,8 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [5,11:6,9 | 1,7:2,8 | 10:12 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [3,12:4,10 | 1,5:2,6 | 9:11 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [3,5:4,6 | 1,12:2,10 | 9:11 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [3,11:4,9 | 1,5:2,6 | 10:12 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [3,5:4,6 | 1,11:2,9 | 10:12 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [3,5:4,6 | 10:12 | 9:11 | 7:8 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [1,5:2,6 | 10:12 | 9:11 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [6,11:7,9 | 2,5:3,8 | 1,12:4,10], [5,8:6,7 | 1,4:2,3 | 11:12 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [6,10:7,9 | 2,5:3,8 | 1,12:4,11], [5,8:6,7 | 1,4:2,3 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [2,6,10:3,7,9 | 11:12 | 5:8 | 1:4], [5,8:6,7 | 1,4:2,3 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [3,5:4,6 | 1,11:2,9 | 10:12 | 7:8], [5,6:7,8 | 1,2:3,4 | 11:12 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [3,5:4,6 | 1,10:2,9 | 11:12 | 7:8], [5,6:7,8 | 1,2:3,4 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6:7,8 | 1,2:3,4 | 10:12 | 9:11], [1,5:2,6 | 11:12 | 9:10 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [3,5,12:4,6,10 | 1,11:2,9 | 7:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [3,5,11:4,6,9 | 1,12:2,10 | 7:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,5,12:2,6,10 | 3,11:4,9 | 7:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,5,11:2,6,9 | 3,12:4,10 | 7:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [7,12:8,10 | 3,5:4,6 | 1,11:2,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [7,11:8,9 | 3,5:4,6 | 1,12:2,10]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,11:6,9 | 3,7:4,8 | 1,12:2,10]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,7,11:2,8,9 | 10:12 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,5,12:2,6,10 | 9:11 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,5,11:2,6,9 | 10:12 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [3,12:4,10 | 1,5:2,6 | 9:11 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [3,5:4,6 | 1,12:2,10 | 9:11 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [3,11:4,9 | 1,5:2,6 | 10:12 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [3,5:4,6 | 1,11:2,9 | 10:12 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,7:2,8 | 10:12 | 9:11 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,5:2,6 | 10:12 | 9:11 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,6,10:3,7,9 | 1,12:4,11 | 5:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,8:6,7 | 1,4:2,3 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,5,10:2,6,9 | 3,12:4,11 | 7:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,6,9:7,8,11 | 1,2:3,4 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,5,10:2,6,9 | 3,12:4,11 | 7:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,6,11:7,8,9 | 1,2:3,4 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,5,10:2,6,9 | 3,12:4,11 | 7:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,9:3,4,11 | 5,6:7,8 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,5,10:2,6,9 | 3,12:4,11 | 7:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,11:3,4,9 | 5,6:7,8 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [1,5,12:2,6,10 | 9:11 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [1,5,11:2,6,9 | 10:12 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [5,12:6,10 | 1,7:2,8 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [5,11:6,9 | 1,7:2,8 | 10:12 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [3,11:4,9 | 1,5:2,6 | 10:12 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [3,5:4,6 | 1,11:2,9 | 10:12 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [1,5:2,6 | 10:12 | 9:11 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [6,10:7,9 | 2,5:3,8 | 1,12:4,11], [5,8:6,7 | 1,4:2,3 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [2,6,10:3,7,9 | 11:12 | 5:8 | 1:4], [5,8:6,7 | 1,4:2,3 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [3,5:4,6 | 1,10:2,9 | 11:12 | 7:8], [5,6:7,8 | 1,2:3,4 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,6:7,8 | 1,2:3,4 | 10:12 | 9:11], [1,5:2,6 | 11:12 | 9:10 | 7:8 | 3:4]
#
# The next 75 12-state UPBs arise as a form of (Shifts \otimes |0>) \cup (B15 \otimes |1>), where B15 is the following product basis of 3-qubit space:
# B15 = [1,2,3,4:5,6,7,8], [5,6:7,8 | 2:3 | 1:4], [1,4:2,3 | 7:8 | 5:6]
#
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 2,12:3,10 | 1:4], [1,4,10:2,3,9 | 7,12:8,11 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 2,12:3,10 | 1:4], [1,4,9:2,3,10 | 5,12:6,11 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 2,12:3,10 | 1:4], [1,4,10:2,3,9 | 5,12:6,11 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 2,12:3,11 | 1:4], [1,4,10:2,3,12 | 7,11:8,9 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 2,12:3,11 | 1:4], [1,4,12:2,3,10 | 7,11:8,9 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 2,12:3,11 | 1:4], [1,4,11:2,3,9 | 7,12:8,10 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 2,12:3,11 | 1:4], [1,4,10:2,3,12 | 5,11:6,9 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 2,12:3,11 | 1:4], [1,4,12:2,3,10 | 5,11:6,9 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 2,12:3,11 | 1:4], [1,4,9:2,3,11 | 5,12:6,10 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 2,12:3,11 | 1:4], [1,4,11:2,3,9 | 5,12:6,10 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,11:3,4,9 | 6,12:7,10 | 5:8], [5,8,11:6,7,12 | 9:10 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,11:3,4,9 | 6,12:7,10 | 5:8], [5,8,12:6,7,11 | 9:10 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,11:3,4,9 | 6,12:7,10 | 5:8], [5,8,9:6,7,10 | 11:12 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,11:3,4,9 | 6,12:7,10 | 5:8], [5,8,10:6,7,9 | 11:12 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,11:3,4,9 | 6,12:7,10 | 5:8], [5,8:6,7 | 3,12:4,11 | 9:10 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,11:3,4,9 | 6,12:7,10 | 5:8], [5,8:6,7 | 3,10:4,9 | 11:12 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,11:3,4,9 | 6,12:7,10 | 5:8], [5,8:6,7 | 1,12:2,11 | 9:10 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,11:3,4,9 | 6,12:7,10 | 5:8], [5,8:6,7 | 1,10:2,9 | 11:12 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,11:3,4,9 | 6,12:7,10 | 5:8], [5,8:6,7 | 11:12 | 9:10 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 6,12:7,11 | 5:8], [5,8,10:6,7,12 | 9:11 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 6,12:7,11 | 5:8], [5,8,12:6,7,10 | 9:11 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 6,12:7,11 | 5:8], [5,8,9:6,7,11 | 10:12 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 6,12:7,11 | 5:8], [5,8,11:6,7,9 | 10:12 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 6,12:7,11 | 5:8], [5,8:6,7 | 3,12:4,10 | 9:11 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 6,12:7,11 | 5:8], [5,8:6,7 | 3,11:4,9 | 10:12 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 6,12:7,11 | 5:8], [5,8:6,7 | 1,12:2,10 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 6,12:7,11 | 5:8], [5,8:6,7 | 1,11:2,9 | 10:12 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 6,12:7,11 | 5:8], [5,8:6,7 | 10:12 | 9:11 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [7,10:8,9 | 5,12:6,11 | 1,4:2,3], [5,6:7,8 | 2,11:3,9 | 1,12:4,10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8:6,7 | 3,10:4,9 | 1,12:2,11], [1,2,10:3,4,12 | 9:11 | 6:7 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8:6,7 | 3,10:4,9 | 1,12:2,11], [1,2,12:3,4,10 | 9:11 | 6:7 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8:6,7 | 3,10:4,9 | 1,12:2,11], [1,2,9:3,4,11 | 10:12 | 6:7 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8:6,7 | 3,10:4,9 | 1,12:2,11], [1,2,11:3,4,9 | 10:12 | 6:7 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6:7,8 | 2,10:3,9 | 1,12:4,11], [5,12:6,10 | 1,4:2,3 | 9:11 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6:7,8 | 2,10:3,9 | 1,12:4,11], [5,11:6,9 | 1,4:2,3 | 10:12 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6:7,8 | 2,10:3,9 | 1,12:4,11], [1,4:2,3 | 10:12 | 9:11 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 10:12 | 2:3 | 1:4], [1,4,10:2,3,9 | 11:12 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 11:12 | 2:3 | 1:4], [1,4,12:2,3,10 | 9:11 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 11:12 | 2:3 | 1:4], [1,4,11:2,3,9 | 10:12 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8:6,7 | 1,11:2,9 | 10:12 | 3:4], [1,2,11:3,4,12 | 9:10 | 6:7 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8:6,7 | 1,11:2,9 | 10:12 | 3:4], [1,2,12:3,4,11 | 9:10 | 6:7 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8:6,7 | 1,11:2,9 | 10:12 | 3:4], [1,2,9:3,4,10 | 11:12 | 6:7 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8:6,7 | 1,11:2,9 | 10:12 | 3:4], [1,2,10:3,4,9 | 11:12 | 6:7 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8:6,7 | 1,11:2,9 | 10:12 | 3:4], [6,10:7,9 | 1,2:3,4 | 11:12 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8:6,7 | 1,10:2,9 | 11:12 | 3:4], [1,2,10:3,4,12 | 9:11 | 6:7 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8:6,7 | 1,10:2,9 | 11:12 | 3:4], [1,2,12:3,4,10 | 9:11 | 6:7 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8:6,7 | 1,10:2,9 | 11:12 | 3:4], [1,2,9:3,4,11 | 10:12 | 6:7 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8:6,7 | 1,10:2,9 | 11:12 | 3:4], [1,2,11:3,4,9 | 10:12 | 6:7 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8:6,7 | 1,10:2,9 | 11:12 | 3:4], [6,12:7,10 | 1,2:3,4 | 9:11 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,8:6,7 | 1,10:2,9 | 11:12 | 3:4], [6,11:7,9 | 1,2:3,4 | 10:12 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,11:3,4,9 | 10:12 | 6:7 | 5:8], [5,8:6,7 | 11:12 | 9:10 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 11:12 | 6:7 | 5:8], [5,8:6,7 | 10:12 | 9:11 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [6,11:7,9 | 1,2:3,4 | 10:12 | 5:8], [5,8:6,7 | 11:12 | 9:10 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [6,10:7,9 | 1,2:3,4 | 11:12 | 5:8], [5,8:6,7 | 10:12 | 9:11 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6:7,8 | 10:12 | 9:11 | 2:3 | 1:4], [1,4:2,3 | 11:12 | 9:10 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 2,12:3,11 | 1:4], [1,4,12:2,3,10 | 5,11:6,9 | 7:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 2,12:3,11 | 1:4], [1,4,9:2,3,11 | 5,12:6,10 | 7:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 2,12:3,11 | 1:4], [1,4,11:2,3,9 | 5,12:6,10 | 7:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,10:3,4,9 | 6,12:7,11 | 5:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,8,9:6,7,11 | 10:12 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,10:3,4,9 | 6,12:7,11 | 5:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,8,11:6,7,9 | 10:12 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,10:3,4,9 | 6,12:7,11 | 5:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,8:6,7 | 1,12:2,10 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,10:3,4,9 | 6,12:7,11 | 5:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,8:6,7 | 1,11:2,9 | 10:12 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,10:3,4,9 | 6,12:7,11 | 5:8], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,8:6,7 | 10:12 | 9:11 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [7,10:8,9 | 5,12:6,11 | 1,4:2,3], [5,6:7,8 | 2,11:3,9 | 1,12:4,10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,8:6,7 | 3,10:4,9 | 1,12:2,11], [1,2,9:3,4,11 | 10:12 | 6:7 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,8:6,7 | 3,10:4,9 | 1,12:2,11], [1,2,11:3,4,9 | 10:12 | 6:7 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,6:7,8 | 2,10:3,9 | 1,12:4,11], [5,11:6,9 | 1,4:2,3 | 10:12 | 7:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,6:7,8 | 2,10:3,9 | 1,12:4,11], [1,4:2,3 | 10:12 | 9:11 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,6,10:7,8,9 | 11:12 | 2:3 | 1:4], [1,4,11:2,3,9 | 10:12 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,8:6,7 | 1,10:2,9 | 11:12 | 3:4], [1,2,9:3,4,11 | 10:12 | 6:7 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,8:6,7 | 1,10:2,9 | 11:12 | 3:4], [1,2,11:3,4,9 | 10:12 | 6:7 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,8:6,7 | 1,10:2,9 | 11:12 | 3:4], [6,11:7,9 | 1,2:3,4 | 10:12 | 5:8]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,10:3,4,9 | 11:12 | 6:7 | 5:8], [5,8:6,7 | 10:12 | 9:11 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [6,10:7,9 | 1,2:3,4 | 11:12 | 5:8], [5,8:6,7 | 10:12 | 9:11 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,6:7,8 | 10:12 | 9:11 | 2:3 | 1:4], [1,4:2,3 | 11:12 | 9:10 | 7:8 | 5:6]
#
# The next 81 12-state UPBs arise as a form of (Shifts \otimes |0>) \cup (B16 \otimes |1>), where B16 is the following product basis of 3-qubit space:
# B16 = [1,2,3,4:5,6,7,8], [5,6:7,8 | 1,2:3,4], [7:8 | 5:6 | 3:4 | 1:2]
#
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [5,12:6,11 | 3,10:4,9 | 7:8 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [5,10:6,9 | 3,12:4,11 | 7:8 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [7,12:8,11 | 1,10:2,9 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [7,10:8,9 | 1,12:2,11 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [5,12:6,11 | 1,10:2,9 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [5,10:6,9 | 1,12:2,11 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [3,12:4,11 | 1,10:2,9 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [3,10:4,9 | 1,12:2,11 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [3,12:4,11 | 9:10 | 7:8 | 5:6 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [3,10:4,9 | 11:12 | 7:8 | 5:6 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [1,12:2,11 | 9:10 | 7:8 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [1,10:2,9 | 11:12 | 7:8 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,11:7,8,9 | 1,2,12:3,4,10], [11:12 | 9:10 | 7:8 | 5:6 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [5,12:6,10 | 3,11:4,9 | 7:8 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [5,11:6,9 | 3,12:4,10 | 7:8 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [7,12:8,10 | 1,11:2,9 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [7,11:8,9 | 1,12:2,10 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [5,12:6,10 | 1,11:2,9 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [5,11:6,9 | 1,12:2,10 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [3,12:4,10 | 1,11:2,9 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [3,11:4,9 | 1,12:2,10 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [3,12:4,10 | 9:11 | 7:8 | 5:6 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [3,11:4,9 | 10:12 | 7:8 | 5:6 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,12:2,10 | 9:11 | 7:8 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,11:2,9 | 10:12 | 7:8 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [10:12 | 9:11 | 7:8 | 5:6 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [7,12:8,10 | 5,11:6,9 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [7,11:8,9 | 5,12:6,10 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [7,12:8,10 | 1,11:2,9 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [7,11:8,9 | 1,12:2,10 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [5,12:6,10 | 1,11:2,9 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [5,11:6,9 | 1,12:2,10 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [3,11:4,9 | 1,12:2,10 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [7,12:8,10 | 9:11 | 5:6 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [7,11:8,9 | 10:12 | 5:6 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [5,12:6,10 | 9:11 | 7:8 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [5,11:6,9 | 10:12 | 7:8 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [1,12:2,10 | 9:11 | 7:8 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [1,11:2,9 | 10:12 | 7:8 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6,10:7,8,9 | 1,2:3,4 | 11:12], [10:12 | 9:11 | 7:8 | 5:6 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [7,11:8,9 | 5,12:6,10 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [5,12:6,10 | 3,11:4,9 | 7:8 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [5,11:6,9 | 3,12:4,10 | 7:8 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [5,12:6,10 | 1,11:2,9 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [5,11:6,9 | 1,12:2,10 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [3,12:4,10 | 1,11:2,9 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [3,11:4,9 | 1,12:2,10 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [5,12:6,10 | 9:11 | 7:8 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [5,11:6,9 | 10:12 | 7:8 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [3,12:4,10 | 9:11 | 7:8 | 5:6 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [3,11:4,9 | 10:12 | 7:8 | 5:6 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [1,12:2,10 | 9:11 | 7:8 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [1,11:2,9 | 10:12 | 7:8 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [10:12 | 9:11 | 7:8 | 5:6 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,11:6,9 | 1,12:2,10 | 7:8 | 3:4], [5,6:7,8 | 1,2:3,4 | 11:12 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,10:6,9 | 1,12:2,11 | 7:8 | 3:4], [5,6:7,8 | 1,2:3,4 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [2,10:3,9 | 1,12:4,11 | 6:7 | 5:8], [5,8:6,7 | 1,4:2,3 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6:7,8 | 1,2:3,4 | 10:12 | 9:11], [1,12:2,11 | 9:10 | 7:8 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6:7,8 | 1,2:3,4 | 10:12 | 9:11], [1,10:2,9 | 11:12 | 7:8 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4,10:5,6,7,8,11 | 9:12], [5,6:7,8 | 1,2:3,4 | 10:12 | 9:11], [11:12 | 9:10 | 7:8 | 5:6 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [7,12:8,10 | 1,11:2,9 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [7,11:8,9 | 1,12:2,10 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,11:6,9 | 1,12:2,10 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [3,12:4,10 | 1,11:2,9 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [3,11:4,9 | 1,12:2,10 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,12:2,10 | 9:11 | 7:8 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,11:2,9 | 10:12 | 7:8 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [5,6,10:7,8,9 | 1,2,12:3,4,11], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [10:12 | 9:11 | 7:8 | 5:6 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [7,11:8,9 | 5,12:6,10 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [5,12:6,10 | 1,11:2,9 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [5,11:6,9 | 1,12:2,10 | 7:8 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [3,12:4,10 | 1,11:2,9 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [3,11:4,9 | 1,12:2,10 | 7:8 | 5:6]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [5,11:6,9 | 10:12 | 7:8 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [1,12:2,10 | 9:11 | 7:8 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [1,11:2,9 | 10:12 | 7:8 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [1,2,10:3,4,9 | 5,6:7,8 | 11:12], [10:12 | 9:11 | 7:8 | 5:6 | 3:4 | 1:2]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,10:6,9 | 1,12:2,11 | 7:8 | 3:4], [5,6:7,8 | 1,2:3,4 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [2,10:3,9 | 1,12:4,11 | 6:7 | 5:8], [5,8:6,7 | 1,4:2,3 | 10:12 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,6:7,8 | 1,2:3,4 | 10:12 | 9:11], [1,10:2,9 | 11:12 | 7:8 | 5:6 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,2,3,4:5,6,7,8 | 10:11 | 9:12], [5,6:7,8 | 1,2:3,4 | 10:12 | 9:11], [11:12 | 9:10 | 7:8 | 5:6 | 3:4 | 1:2]
#
# The next 79 12-state UPBs arise as a form of (Shifts \otimes |0>) \cup (B17 \otimes |1>), where B17 is the following product basis of 3-qubit space:
# B17 = [2,4,5:6,7,8 | 1:3], [1,3,6:2,7,8 | 4:5], [1,2,3:4,5,6 | 7:8]
#
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,6,8,9:2,5,7,11 | 3,12:4,10], [1,2,8,9:3,4,6,10 | 5,12:7,11]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,6,8,9:2,5,7,10 | 3,12:4,11], [1,2,8,10:3,4,6,12 | 5,11:7,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,6,8,9:2,5,7,10 | 3,12:4,11], [1,2,8,9:3,4,6,11 | 5,12:7,10]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,6,8,10:2,5,7,9 | 3,12:4,11], [1,2,8,12:3,4,6,10 | 5,11:7,9]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,6,8,10:2,5,7,9 | 3,12:4,11], [1,2,8,9:3,4,6,11 | 5,12:7,10]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,6,8,10:2,5,7,9 | 3,12:4,11], [1,2,8,11:3,4,6,9 | 5,12:7,10]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,11:3,4,6,9 | 5,12:7,10], [1,6,8,12:2,5,7,11 | 9:10 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,11:3,4,6,9 | 5,12:7,10], [1,6,8,9:2,5,7,10 | 11:12 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,11:3,4,6,9 | 5,12:7,10], [1,6,8,10:2,5,7,9 | 11:12 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,11:3,4,6,9 | 5,12:7,10], [1,6,8:2,5,7 | 3,12:4,11 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,11:3,4,6,9 | 5,12:7,10], [1,6,8:2,5,7 | 3,10:4,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,11:3,4,6,9 | 5,12:7,10], [1,6,8:2,5,7 | 11:12 | 9:10 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,9:3,4,6,10 | 5,12:7,11], [1,6,8,12:2,5,7,10 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,9:3,4,6,10 | 5,12:7,11], [1,6,8,9:2,5,7,11 | 10:12 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,9:3,4,6,10 | 5,12:7,11], [1,6,8,11:2,5,7,9 | 10:12 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,9:3,4,6,10 | 5,12:7,11], [1,6,8:2,5,7 | 3,12:4,10 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,9:3,4,6,10 | 5,12:7,11], [1,6,8:2,5,7 | 3,11:4,9 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,9:3,4,6,10 | 5,12:7,11], [1,6,8:2,5,7 | 10:12 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,10:3,4,6,9 | 5,12:7,11], [1,6,8,10:2,5,7,12 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,10:3,4,6,9 | 5,12:7,11], [1,6,8,12:2,5,7,10 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,10:3,4,6,9 | 5,12:7,11], [1,6,8,9:2,5,7,11 | 10:12 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,10:3,4,6,9 | 5,12:7,11], [1,6,8,11:2,5,7,9 | 10:12 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,10:3,4,6,9 | 5,12:7,11], [1,6,8:2,5,7 | 3,12:4,10 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,10:3,4,6,9 | 5,12:7,11], [1,6,8:2,5,7 | 3,11:4,9 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,10:3,4,6,9 | 5,12:7,11], [1,6,8:2,5,7 | 10:12 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,6,8,9:2,5,7,11 | 10:12 | 3:4], [1,2,8,9:3,4,6,10 | 11:12 | 5:7]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,6,8,11:2,5,7,9 | 10:12 | 3:4], [1,2,8,9:3,4,6,10 | 11:12 | 5:7]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,6,8,11:2,5,7,9 | 10:12 | 3:4], [1,2,8,10:3,4,6,9 | 11:12 | 5:7]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,6,8,9:2,5,7,10 | 11:12 | 3:4], [1,2,8,10:3,4,6,12 | 9:11 | 5:7]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,6,8,9:2,5,7,10 | 11:12 | 3:4], [1,2,8,12:3,4,6,10 | 9:11 | 5:7]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,6,8,9:2,5,7,10 | 11:12 | 3:4], [1,2,8,9:3,4,6,11 | 10:12 | 5:7]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,6,8,10:2,5,7,9 | 11:12 | 3:4], [1,2,8,10:3,4,6,12 | 9:11 | 5:7]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,6,8,10:2,5,7,9 | 11:12 | 3:4], [1,2,8,12:3,4,6,10 | 9:11 | 5:7]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,6,8,10:2,5,7,9 | 11:12 | 3:4], [1,2,8,9:3,4,6,11 | 10:12 | 5:7]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,6,8,10:2,5,7,9 | 11:12 | 3:4], [1,2,8,11:3,4,6,9 | 10:12 | 5:7]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,9:3,4,6,11 | 10:12 | 5:7], [1,6,8:2,5,7 | 3,12:4,11 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,9:3,4,6,11 | 10:12 | 5:7], [1,6,8:2,5,7 | 3,10:4,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,9:3,4,6,11 | 10:12 | 5:7], [1,6,8:2,5,7 | 11:12 | 9:10 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,11:3,4,6,9 | 10:12 | 5:7], [1,6,8:2,5,7 | 3,12:4,11 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,11:3,4,6,9 | 10:12 | 5:7], [1,6,8:2,5,7 | 3,10:4,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,11:3,4,6,9 | 10:12 | 5:7], [1,6,8:2,5,7 | 11:12 | 9:10 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,9:3,4,6,10 | 11:12 | 5:7], [1,6,8:2,5,7 | 3,12:4,10 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,9:3,4,6,10 | 11:12 | 5:7], [1,6,8:2,5,7 | 3,11:4,9 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,9:3,4,6,10 | 11:12 | 5:7], [1,6,8:2,5,7 | 10:12 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,10:3,4,6,9 | 11:12 | 5:7], [1,6,8:2,5,7 | 3,12:4,10 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,10:3,4,6,9 | 11:12 | 5:7], [1,6,8:2,5,7 | 3,11:4,9 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8,10:3,4,6,9 | 11:12 | 5:7], [1,6,8:2,5,7 | 10:12 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,3,8:2,4,5 | 6,12:7,10 | 9:11], [1,5,8:3,6,7 | 2,10:4,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,6,8:2,5,7 | 3,11:4,9 | 10:12], [1,2,8:3,4,6 | 5,10:7,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,3,8:2,4,5 | 6,11:7,9 | 10:12], [1,5,8:3,6,7 | 2,10:4,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,5,8:3,6,7 | 2,10:4,9 | 11:12], [1,3,8:2,4,5 | 10:12 | 9:11 | 6:7]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,2,8:3,4,6 | 5,10:7,9 | 11:12], [1,6,8:2,5,7 | 10:12 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 1,9:8,12], [1,6,8:2,5,7 | 10:12 | 9:11 | 3:4], [1,2,8:3,4,6 | 11:12 | 9:10 | 5:7]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 9:12 | 1:8], [1,6,8,9:2,5,7,11 | 10:12 | 3:4], [1,2,8,9:3,4,6,10 | 11:12 | 5:7]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 9:12 | 1:8], [1,6,8,9:2,5,7,10 | 11:12 | 3:4], [1,2,8,10:3,4,6,12 | 9:11 | 5:7]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 9:12 | 1:8], [1,6,8,9:2,5,7,10 | 11:12 | 3:4], [1,2,8,9:3,4,6,11 | 10:12 | 5:7]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 9:12 | 1:8], [1,6,8,10:2,5,7,9 | 11:12 | 3:4], [1,2,8,12:3,4,6,10 | 9:11 | 5:7]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 9:12 | 1:8], [1,6,8,10:2,5,7,9 | 11:12 | 3:4], [1,2,8,9:3,4,6,11 | 10:12 | 5:7]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 9:12 | 1:8], [1,6,8,10:2,5,7,9 | 11:12 | 3:4], [1,2,8,11:3,4,6,9 | 10:12 | 5:7]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 9:12 | 1:8], [1,2,8,11:3,4,6,9 | 10:12 | 5:7], [1,6,8:2,5,7 | 3,12:4,11 | 9:10]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 9:12 | 1:8], [1,2,8,11:3,4,6,9 | 10:12 | 5:7], [1,6,8:2,5,7 | 3,10:4,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 9:12 | 1:8], [1,2,8,11:3,4,6,9 | 10:12 | 5:7], [1,6,8:2,5,7 | 11:12 | 9:10 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 9:12 | 1:8], [1,2,8,9:3,4,6,10 | 11:12 | 5:7], [1,6,8:2,5,7 | 3,12:4,10 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 9:12 | 1:8], [1,2,8,9:3,4,6,10 | 11:12 | 5:7], [1,6,8:2,5,7 | 3,11:4,9 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 9:12 | 1:8], [1,2,8,9:3,4,6,10 | 11:12 | 5:7], [1,6,8:2,5,7 | 10:12 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 9:12 | 1:8], [1,2,8,10:3,4,6,9 | 11:12 | 5:7], [1,6,8:2,5,7 | 3,12:4,10 | 9:11]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 9:12 | 1:8], [1,2,8,10:3,4,6,9 | 11:12 | 5:7], [1,6,8:2,5,7 | 3,11:4,9 | 10:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 9:12 | 1:8], [1,2,8,10:3,4,6,9 | 11:12 | 5:7], [1,6,8:2,5,7 | 10:12 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 9:12 | 1:8], [1,3,8:2,4,5 | 6,12:7,10 | 9:11], [1,5,8:3,6,7 | 2,10:4,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 9:12 | 1:8], [1,6,8:2,5,7 | 3,11:4,9 | 10:12], [1,2,8:3,4,6 | 5,10:7,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 9:12 | 1:8], [1,3,8:2,4,5 | 6,11:7,9 | 10:12], [1,5,8:3,6,7 | 2,10:4,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 9:12 | 1:8], [1,5,8:3,6,7 | 2,10:4,9 | 11:12], [1,3,8:2,4,5 | 10:12 | 9:11 | 6:7]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 9:12 | 1:8], [1,2,8:3,4,6 | 5,10:7,9 | 11:12], [1,6,8:2,5,7 | 10:12 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4,10:5,6,7,11 | 9:12 | 1:8], [1,6,8:2,5,7 | 10:12 | 9:11 | 3:4], [1,2,8:3,4,6 | 11:12 | 9:10 | 5:7]
[1,2,3,4,5,6,7,8:9,10,11,12], [1,3,8:2,4,5 | 6,12:7,10 | 9:11], [2,3,4:5,6,7 | 1,10:8,11 | 9:12], [1,5,8:3,6,7 | 2,10:4,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4:5,6,7 | 1,10:8,11 | 9:12], [1,3,8:2,4,5 | 6,11:7,9 | 10:12], [1,5,8:3,6,7 | 2,10:4,9 | 11:12]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4:5,6,7 | 1,10:8,11 | 9:12], [1,2,8:3,4,6 | 5,10:7,9 | 11:12], [1,6,8:2,5,7 | 10:12 | 9:11 | 3:4]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4:5,6,7 | 1,10:8,11 | 9:12], [1,6,8:2,5,7 | 10:12 | 9:11 | 3:4], [1,2,8:3,4,6 | 11:12 | 9:10 | 5:7]
[1,2,3,4,5,6,7,8:9,10,11,12], [2,3,4:5,6,7 | 10:11 | 9:12 | 1:8], [1,6,8:2,5,7 | 10:12 | 9:11 | 3:4], [1,2,8:3,4,6 | 11:12 | 9:10 | 5:7]
#
# The remaining 161 12-state UPBs are each different from (Shifts \otimes |0>) \cup (Bi \otimes |1>), regardless of what basis of 3-qubit space Bi is:
#
[7,8,9:10,11,12 | 1,2,3,4,5:6], [2,3,7,10:4,5,8,11 | 1,6:9,12], [1,5,9,12:2,4,8,11 | 3,6:7,10], [1,2,9,12:3,5,7,10 | 4,6:8,11]
[1,2,3,9,11:4,5,6,10,12 | 7:8], [1,5,6,7:2,4,10,12 | 3,8:9,11], [1,2,5,7:3,6,9,11 | 4,8:10,12], [9,10:11,12 | 1,2,3,4,5,6:7,8]
[1,2,3,9,11:4,5,6,10,12 | 7:8], [1,5,9,11:2,3,6,7 | 4,8:10,12], [9,10:11,12 | 1,2,3,4,5,6:7,8], [4,10,12:5,6,7 | 1,2,8:3,9,11]
[1,2,3,9,11:4,5,6,10,12 | 7:8], [1,5,9,11:2,3,6,7 | 4,8:10,12], [9,10:11,12 | 1,2,3,4,5,6:7,8], [4,10,12:5,6,7 | 1,8:9,11 | 2:3]
[1,2,3,9,11:4,5,6,10,12 | 7:8], [9,10:11,12 | 1,2,3,4,5,6:7,8], [4,10,12:5,6,7 | 1,2,8:3,9,11], [4,5,8:6,10,12 | 1,9,11:2,3,7]
[1,2,3,9,11:4,5,6,10,12 | 7:8], [9,10:11,12 | 1,2,3,4,5,6:7,8], [2,10,12:3,5,7 | 1,4,8:6,9,11], [4,6,8:5,10,12 | 1,9,11:2,3,7]
[1,2,3,9,11:4,5,6,10,12 | 7:8], [9,10:11,12 | 1,2,3,4,5,6:7,8], [4,10,12:5,6,7 | 1,9,11:2,3,8], [2,10,12:3,4,8 | 1,7:9,11 | 5:6]
[1,2,3,9,11:4,5,6,10,12 | 7:8], [9,10:11,12 | 1,2,3,4,5,6:7,8], [4,10,12:5,6,7 | 1,9,11:2,3,8], [1,2,7:3,9,11 | 4,8:10,12 | 5:6]
[1,2,3,9,11:4,5,6,10,12 | 7:8], [9,10:11,12 | 1,2,3,4,5,6:7,8], [4,10,12:5,6,7 | 1,9,11:2,3,8], [4,8:10,12 | 2,5:3,6 | 1,7:9,11]
[1,2,3,9,11:4,5,6,10,12 | 7:8], [9,10:11,12 | 1,2,3,4,5,6:7,8], [4,10,12:5,6,7 | 1,9,11:2,3,8], [4,8:10,12 | 1,7:9,11 | 5:6 | 2:3]
[1,2,3,9,11:4,5,6,10,12 | 7:8], [9,10:11,12 | 1,2,3,4,5,6:7,8], [4,10,12:5,6,7 | 2,8:9,11 | 1:3], [1,3,7:2,9,11 | 4,8:10,12 | 5:6]
[1,2,3,11,12:4,5,6,9,10 | 7:8], [1,5,6,7:2,4,9,10 | 3,8:11,12], [1,2,5,7:3,6,11,12 | 4,8:9,10], [1,2,3,4,5,6:7,8 | 11:12 | 9:10]
[1,2,3,11,12:4,5,6,9,10 | 7:8], [1,5,11,12:2,3,6,7 | 4,8:9,10], [4,9,10:5,6,7 | 1,2,8:3,11,12], [1,2,3,4,5,6:7,8 | 11:12 | 9:10]
[1,2,3,11,12:4,5,6,9,10 | 7:8], [1,5,11,12:2,3,6,7 | 4,8:9,10], [4,9,10:5,6,7 | 1,8:11,12 | 2:3], [1,2,3,4,5,6:7,8 | 11:12 | 9:10]
[1,2,3,11,12:4,5,6,9,10 | 7:8], [4,9,10:5,6,7 | 1,2,8:3,11,12], [4,5,8:6,9,10 | 1,11,12:2,3,7], [1,2,3,4,5,6:7,8 | 11:12 | 9:10]
[1,2,3,11,12:4,5,6,9,10 | 7:8], [2,9,10:3,5,7 | 1,4,8:6,11,12], [4,6,8:5,9,10 | 1,11,12:2,3,7], [1,2,3,4,5,6:7,8 | 11:12 | 9:10]
[1,2,3,11,12:4,5,6,9,10 | 7:8], [4,9,10:5,6,7 | 1,11,12:2,3,8], [2,9,10:3,4,8 | 1,7:11,12 | 5:6], [1,2,3,4,5,6:7,8 | 11:12 | 9:10]
[1,2,3,11,12:4,5,6,9,10 | 7:8], [4,9,10:5,6,7 | 1,11,12:2,3,8], [1,2,7:3,11,12 | 4,8:9,10 | 5:6], [1,2,3,4,5,6:7,8 | 11:12 | 9:10]
[1,2,3,11,12:4,5,6,9,10 | 7:8], [4,9,10:5,6,7 | 1,11,12:2,3,8], [1,2,3,4,5,6:7,8 | 11:12 | 9:10], [4,8:9,10 | 2,5:3,6 | 1,7:11,12]
[1,2,3,11,12:4,5,6,9,10 | 7:8], [4,9,10:5,6,7 | 1,11,12:2,3,8], [1,2,3,4,5,6:7,8 | 11:12 | 9:10], [4,8:9,10 | 1,7:11,12 | 5:6 | 2:3]
[1,2,3,11,12:4,5,6,9,10 | 7:8], [4,9,10:5,6,7 | 2,8:11,12 | 1:3], [1,3,7:2,11,12 | 4,8:9,10 | 5:6], [1,2,3,4,5,6:7,8 | 11:12 | 9:10]
[1,4,6,11,12:2,3,5,7,10 | 8:9], [1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,4,5,8:3,6,7,11,12 | 9:10], [1,2,3,4,5,6,7:8,9,10 | 11:12]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,4,5,11,12:2,3,6,7,8 | 9:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,4,6,9:3,5,7,8 | 1,10:11,12]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,4,5,11,12:2,3,6,7,8 | 9:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,2,6,10:3,7,11,12 | 4,9:5,8]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,4,5,11,12:2,3,6,7,8 | 9:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,2,4,10:3,5,11,12 | 6,9:7,8]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,4,5,11,12:2,3,6,7,8 | 9:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,6,9:3,7,8 | 1,4,10:5,11,12]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,4,5,11,12:2,3,6,7,8 | 9:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,4,9:3,5,8 | 1,6,10:7,11,12]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,4,5,11,12:2,3,6,7,8 | 9:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,2,6,10:3,7,11,12 | 8:9 | 4:5]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,4,5,11,12:2,3,6,7,8 | 9:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,6,9:3,7,8 | 1,10:11,12 | 4:5]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,4,5,11,12:2,3,6,7,8 | 9:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,6,10:7,11,12 | 2,9:3,8 | 4:5]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,4,5,11,12:2,3,6,7,8 | 9:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,2,10:3,11,12 | 6,9:7,8 | 4:5]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,4,5,11,12:2,3,6,7,8 | 9:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,2,4,10:3,5,11,12 | 8:9 | 6:7]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,4,5,11,12:2,3,6,7,8 | 9:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,4,9:3,5,8 | 1,10:11,12 | 6:7]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,4,5,11,12:2,3,6,7,8 | 9:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,2,10:3,11,12 | 4,9:5,8 | 6:7]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,4,5,11,12:2,3,6,7,8 | 9:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,4,6:3,5,7 | 1,10:11,12 | 8:9]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,4,5,11,12:2,3,6,7,8 | 9:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,6,10:7,11,12 | 2,4:3,5 | 8:9]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,4,5,11,12:2,3,6,7,8 | 9:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,2,10:3,11,12 | 4,6:5,7 | 8:9]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,4,5,11,12:2,3,6,7,8 | 9:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [6,9:7,8 | 2,4:3,5 | 1,10:11,12]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,4,5,11,12:2,3,6,7,8 | 9:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,6:5,7 | 2,9:3,8 | 1,10:11,12]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,4,5,11,12:2,3,6,7,8 | 9:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,6,10:7,11,12 | 8:9 | 4:5 | 2:3]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,4,5,11,12:2,3,6,7,8 | 9:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [6,9:7,8 | 1,10:11,12 | 4:5 | 2:3]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,4,5,11,12:2,3,6,7,8 | 9:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,2,10:3,11,12 | 8:9 | 6:7 | 4:5]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,4,5,11,12:2,3,6,7,8 | 9:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,9:3,8 | 1,10:11,12 | 6:7 | 4:5]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,4,5,11,12:2,3,6,7,8 | 9:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,6:3,7 | 1,10:11,12 | 8:9 | 4:5]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,4,5,11,12:2,3,6,7,8 | 9:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,4:3,5 | 1,10:11,12 | 8:9 | 6:7]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,4,5,11,12:2,3,6,7,8 | 9:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,10:11,12 | 8:9 | 6:7 | 4:5 | 2:3]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,4,5,8:6,7,11,12 | 1,10:3,9], [1,3,6,10:2,7,11,12 | 4,9:5,8]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,4,5,8:6,7,11,12 | 1,10:3,9], [1,3,4,10:2,5,11,12 | 6,9:7,8]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,4,5,8:6,7,11,12 | 1,10:3,9], [4,6,9:5,7,8 | 1,3,10:2,11,12]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,4,5,8:6,7,11,12 | 1,10:3,9], [1,3,6,10:2,7,11,12 | 8:9 | 4:5]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,4,5,8:6,7,11,12 | 1,10:3,9], [1,3,10:2,11,12 | 6,9:7,8 | 4:5]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,4,5,8:6,7,11,12 | 1,10:3,9], [1,3,4,10:2,5,11,12 | 8:9 | 6:7]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,4,5,8:6,7,11,12 | 1,10:3,9], [1,3,10:2,11,12 | 4,9:5,8 | 6:7]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,4,5,8:6,7,11,12 | 1,10:3,9], [1,3,10:2,11,12 | 4,6:5,7 | 8:9]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,4,5,8:6,7,11,12 | 1,10:3,9], [1,3,10:2,11,12 | 8:9 | 6:7 | 4:5]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,4,5,9:3,6,7,8 | 1,10:11,12], [4,6,10:5,7,9 | 1,11,12:2,3,8]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,4,5,9:3,6,7,8 | 1,10:11,12], [1,6,11,12:2,3,7,8 | 9:10 | 4:5]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,4,5,9:3,6,7,8 | 1,10:11,12], [1,11,12:2,3,8 | 6,10:7,9 | 4:5]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,4,5,9:3,6,7,8 | 1,10:11,12], [1,4,11,12:2,3,5,8 | 9:10 | 6:7]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,4,5,9:3,6,7,8 | 1,10:11,12], [1,11,12:2,3,8 | 4,10:5,9 | 6:7]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,4,5,9:3,6,7,8 | 1,10:11,12], [1,11,12:2,3,8 | 4,6:5,7 | 9:10]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,4,5,9:3,6,7,8 | 1,10:11,12], [1,11,12:2,3,8 | 9:10 | 6:7 | 4:5]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,5,6,8:2,4,7,9 | 3,10:11,12], [1,2,5,8:3,6,11,12 | 4,10:7,9]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,5,6,9:2,4,7,8 | 3,10:11,12], [1,2,5,8:3,6,11,12 | 4,10:7,9]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,5,11,12:2,3,6,8 | 4,10:7,9], [4,7,8:5,6,9 | 1,2,10:3,11,12]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,5,11,12:2,3,6,8 | 4,10:7,9], [4,7,9:5,6,8 | 1,2,10:3,11,12]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,5,11,12:2,3,6,8 | 4,10:7,9], [1,4,7,10:5,6,11,12 | 8:9 | 2:3]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,5,11,12:2,3,6,8 | 4,10:7,9], [1,5,6,10:4,7,11,12 | 8:9 | 2:3]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,5,11,12:2,3,6,8 | 4,10:7,9], [4,7,8:5,6,9 | 1,10:11,12 | 2:3]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,5,11,12:2,3,6,8 | 4,10:7,9], [4,7,9:5,6,8 | 1,10:11,12 | 2:3]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,5,11,12:2,3,6,8 | 4,10:7,9], [2,5,6:3,4,7 | 1,10:11,12 | 8:9]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,5,11,12:2,3,6,8 | 4,10:7,9], [1,2,10:3,11,12 | 4,7:5,6 | 8:9]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,5,11,12:2,3,6,8 | 4,10:7,9], [4,7:5,6 | 2,9:3,8 | 1,10:11,12]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,5,11,12:2,3,6,8 | 4,10:7,9], [4,7:5,6 | 1,10:11,12 | 8:9 | 2:3]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,5,9:6,7,8 | 1,2,10:3,11,12], [4,6,10:5,7,9 | 1,11,12:2,3,8]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,6,9:5,7,8 | 1,3,10:2,11,12], [2,4,5,8:6,7,11,12 | 9:10 | 1:3]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,5,9:3,6,8 | 1,4,10:7,11,12], [4,7,9:5,6,10 | 1,11,12:2,3,8]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,5,9:3,6,8 | 1,4,10:7,11,12], [4,7,10:5,6,9 | 1,11,12:2,3,8]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,5,9:3,6,8 | 1,4,10:7,11,12], [1,11,12:2,3,8 | 4,7:5,6 | 9:10]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,5,9:6,7,8 | 1,11,12:2,3,10], [4,6,10:5,7,9 | 1,8:11,12 | 2:3]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,5,9:6,7,8 | 1,11,12:2,3,10], [1,6,8:7,11,12 | 4,10:5,9 | 2:3]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,5,9:6,7,8 | 1,11,12:2,3,10], [1,4,8:5,11,12 | 6,10:7,9 | 2:3]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,5,9:6,7,8 | 1,11,12:2,3,10], [2,6,10:3,7,9 | 1,8:11,12 | 4:5]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,5,9:6,7,8 | 1,11,12:2,3,10], [1,6,8:7,11,12 | 2,10:3,9 | 4:5]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,5,9:6,7,8 | 1,11,12:2,3,10], [1,2,8:3,11,12 | 6,10:7,9 | 4:5]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,5,9:6,7,8 | 1,11,12:2,3,10], [2,4,10:3,5,9 | 1,8:11,12 | 6:7]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,5,9:6,7,8 | 1,11,12:2,3,10], [1,4,8:5,11,12 | 2,10:3,9 | 6:7]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,5,9:6,7,8 | 1,11,12:2,3,10], [1,2,8:3,11,12 | 4,10:5,9 | 6:7]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,5,9:6,7,8 | 1,11,12:2,3,10], [2,4,6:3,5,7 | 1,8:11,12 | 9:10]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,5,9:6,7,8 | 1,11,12:2,3,10], [1,6,8:7,11,12 | 2,4:3,5 | 9:10]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,5,9:6,7,8 | 1,11,12:2,3,10], [1,4,8:5,11,12 | 2,6:3,7 | 9:10]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,5,9:6,7,8 | 1,11,12:2,3,10], [1,2,8:3,11,12 | 4,6:5,7 | 9:10]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,5,9:6,7,8 | 1,11,12:2,3,10], [6,10:7,9 | 2,4:3,5 | 1,8:11,12]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,5,9:6,7,8 | 1,11,12:2,3,10], [4,10:5,9 | 2,6:3,7 | 1,8:11,12]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,5,9:6,7,8 | 1,11,12:2,3,10], [4,6:5,7 | 2,10:3,9 | 1,8:11,12]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,5,9:6,7,8 | 1,11,12:2,3,10], [1,6,8:7,11,12 | 9:10 | 4:5 | 2:3]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,5,9:6,7,8 | 1,11,12:2,3,10], [6,10:7,9 | 1,8:11,12 | 4:5 | 2:3]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,5,9:6,7,8 | 1,11,12:2,3,10], [1,4,8:5,11,12 | 9:10 | 6:7 | 2:3]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,5,9:6,7,8 | 1,11,12:2,3,10], [4,10:5,9 | 1,8:11,12 | 6:7 | 2:3]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,5,9:6,7,8 | 1,11,12:2,3,10], [4,6:5,7 | 1,8:11,12 | 9:10 | 2:3]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,5,9:6,7,8 | 1,11,12:2,3,10], [1,2,8:3,11,12 | 9:10 | 6:7 | 4:5]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,5,9:6,7,8 | 1,11,12:2,3,10], [2,10:3,9 | 1,8:11,12 | 6:7 | 4:5]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,5,9:6,7,8 | 1,11,12:2,3,10], [2,6:3,7 | 1,8:11,12 | 9:10 | 4:5]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,5,9:6,7,8 | 1,11,12:2,3,10], [2,4:3,5 | 1,8:11,12 | 9:10 | 6:7]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,5,9:6,7,8 | 1,11,12:2,3,10], [1,8:11,12 | 9:10 | 6:7 | 4:5 | 2:3]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,7,8:5,6,9 | 1,11,12:2,3,10], [1,2,5,8:3,6,11,12 | 9:10 | 4:7]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,7,9:5,6,8 | 1,11,12:2,3,10], [1,2,5,8:3,6,11,12 | 9:10 | 4:7]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,4,5,8:6,7,11,12 | 9:10 | 1:3], [1,3,6,10:2,7,11,12 | 8:9 | 4:5]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,4,5,8:6,7,11,12 | 9:10 | 1:3], [1,3,10:2,11,12 | 6,9:7,8 | 4:5]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,4,5,8:6,7,11,12 | 9:10 | 1:3], [1,3,4,10:2,5,11,12 | 8:9 | 6:7]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,4,5,8:6,7,11,12 | 9:10 | 1:3], [1,3,10:2,11,12 | 4,9:5,8 | 6:7]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,4,5,8:6,7,11,12 | 9:10 | 1:3], [1,3,10:2,11,12 | 4,6:5,7 | 8:9]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,4,5,8:6,7,11,12 | 9:10 | 1:3], [1,3,10:2,11,12 | 8:9 | 6:7 | 4:5]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,5,9:6,7,8 | 2,10:11,12 | 1:3], [1,3,8:2,11,12 | 6,10:7,9 | 4:5]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,5,9:6,7,8 | 2,10:11,12 | 1:3], [1,3,8:2,11,12 | 4,10:5,9 | 6:7]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,5,9:6,7,8 | 2,10:11,12 | 1:3], [1,3,8:2,11,12 | 4,6:5,7 | 9:10]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,5,9:6,7,8 | 2,10:11,12 | 1:3], [1,3,8:2,11,12 | 9:10 | 6:7 | 4:5]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,5,8:6,11,12 | 4,10:7,9 | 1:3], [1,3,10:2,11,12 | 4,7:5,6 | 8:9]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,7,8:5,6,9 | 1,10:11,12 | 2:3], [1,5,11,12:2,3,6,8 | 9:10 | 4:7]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,7,9:5,6,8 | 1,10:11,12 | 2:3], [1,5,11,12:2,3,6,8 | 9:10 | 4:7]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,5,11,12:2,3,6,8 | 9:10 | 4:7], [2,5,6:3,4,7 | 1,10:11,12 | 8:9]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,5,11,12:2,3,6,8 | 9:10 | 4:7], [1,2,10:3,11,12 | 4,7:5,6 | 8:9]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,5,11,12:2,3,6,8 | 9:10 | 4:7], [4,7:5,6 | 2,9:3,8 | 1,10:11,12]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,5,11,12:2,3,6,8 | 9:10 | 4:7], [4,7:5,6 | 1,10:11,12 | 8:9 | 2:3]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,5,8:6,11,12 | 1,10:3,9 | 4:7], [1,3,10:2,11,12 | 4,7:5,6 | 8:9]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,11,12:2,3,8 | 5,10:6,9 | 4:7], [4,7:5,6 | 1,10:11,12 | 8:9 | 2:3]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,4,9:2,5,8 | 3,10:11,12 | 6:7], [1,2,8:3,11,12 | 4,5:6,7 | 9:10]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,11,12:2,3,8 | 4,10:5,9 | 6:7], [2,4,5:3,6,7 | 1,10:11,12 | 8:9]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,11,12:2,3,8 | 4,10:5,9 | 6:7], [1,2,10:3,11,12 | 4,5:6,7 | 8:9]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,11,12:2,3,10 | 4,6:5,7 | 8:9], [2,4,5:3,6,7 | 1,8:11,12 | 9:10]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,11,12:2,3,10 | 4,6:5,7 | 8:9], [1,2,8:3,11,12 | 4,5:6,7 | 9:10]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,3,10:2,11,12 | 4,7:5,6 | 8:9], [2,5,8:6,11,12 | 1,4:3,7 | 9:10]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [2,4,5:3,6,7 | 1,8:11,12 | 9:10], [1,11,12:2,3,10 | 8:9 | 6:7 | 4:5]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,11,12:2,3,8 | 4,5:6,7 | 9:10], [1,4,10:5,11,12 | 8:9 | 6:7 | 2:3]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,11,12:2,3,8 | 4,5:6,7 | 9:10], [4,9:5,8 | 1,10:11,12 | 6:7 | 2:3]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,11,12:2,3,8 | 4,5:6,7 | 9:10], [4,6:5,7 | 1,10:11,12 | 8:9 | 2:3]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,11,12:2,3,8 | 4,5:6,7 | 9:10], [1,2,10:3,11,12 | 8:9 | 6:7 | 4:5]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,11,12:2,3,8 | 4,5:6,7 | 9:10], [2,9:3,8 | 1,10:11,12 | 6:7 | 4:5]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,11,12:2,3,8 | 4,5:6,7 | 9:10], [2,4:3,5 | 1,10:11,12 | 8:9 | 6:7]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [1,11,12:2,3,8 | 4,5:6,7 | 9:10], [1,10:11,12 | 8:9 | 6:7 | 4:5 | 2:3]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,7:5,6 | 2,9:3,8 | 1,10:11,12], [1,11,12:2,3,8 | 9:10 | 5:6 | 4:7]
[1,2,3,11,12:4,5,6,7,9 | 8:10], [1,2,3,4,5,6,7:8,9,10 | 11:12], [4,7:5,6 | 1,8:11,12 | 9:10 | 2:3], [1,11,12:2,3,10 | 8:9 | 5:6 | 4:7]
[1,2,3,4,5,6,7:8,9,10 | 11:12], [2,3,11,12:4,5,6,9 | 1,8:7,10], [1,4,7,8:5,6,11,12 | 2,10:3,9], [1,7,11,12:2,3,4,10 | 5,9:6,8]
[1,2,3,4,5,6,7:8,9,10 | 11:12], [2,3,11,12:4,5,6,9 | 1,8:7,10], [1,2,7,8:3,5,11,12 | 4,10:6,9], [1,5,7:2,4,6 | 3,10:11,12 | 8:9]
[1,2,3,4,5,6,7:8,9,10 | 11:12], [2,3,11,12:4,5,6,9 | 1,8:7,10], [1,7,11,12:2,3,5,8 | 4,10:6,9], [1,5,7,10:4,6,11,12 | 8:9 | 2:3]
[1,2,3,4,5,6,7:8,9,10 | 11:12], [2,3,11,12:4,5,6,9 | 1,8:7,10], [1,4,7,8:5,6,11,12 | 9:10 | 2:3], [1,7,11,12:2,3,4,10 | 8:9 | 5:6]
[1,2,3,4,5,6,7:8,9,10 | 11:12], [2,3,11,12:4,5,6,9 | 1,8:7,10], [1,2,7,8:3,5,11,12 | 9:10 | 4:6], [1,5,7:2,4,6 | 3,10:11,12 | 8:9]
[1,2,3,4,5,6,7:8,9,10 | 11:12], [2,3,4,9:5,6,7,10 | 1,8:11,12], [1,6,11,12:2,5,7,10 | 3,9:4,8], [1,2,11,12:3,4,6,9 | 5,10:7,8]
[1,2,3,4,5,6,7:8,9,10 | 11:12], [2,3,4,9:5,6,7,10 | 1,8:11,12], [1,6,11,12:2,5,7,9 | 3,10:4,8], [1,2,11,12:3,4,6,10 | 5,9:7,8]
[1,2,3,4,5,6,7:8,9,10 | 11:12], [2,3,4,9:5,6,7,10 | 1,8:11,12], [1,2,11,12:3,4,6,10 | 5,9:7,8], [1,6,11,12:2,5,7,9 | 8:10 | 3:4]
[1,2,3,4,5,6,7:8,9,10 | 11:12], [2,3,4,9:5,6,7,10 | 1,8:11,12], [1,2,11,12:3,4,6,9 | 5,10:7,8], [1,6,11,12:2,5,7,10 | 8:9 | 3:4]
[1,2,3,4,5,6,7:8,9,10 | 11:12], [2,3,4,9:5,6,7,10 | 1,8:11,12], [1,6,11,12:2,5,7,10 | 8:9 | 3:4], [1,2,11,12:3,4,6,9 | 8:10 | 5:7]
[1,2,3,4,5,6,7:8,9,10 | 11:12], [2,3,4,9:5,6,7,10 | 1,8:11,12], [1,6,11,12:2,5,7,9 | 8:10 | 3:4], [1,2,11,12:3,4,6,10 | 8:9 | 5:7]
[1,2,3,4,5,6,7:8,9,10 | 11:12], [2,3,11,12:4,5,6,9 | 8:10 | 1:7], [1,4,7,8:5,6,11,12 | 9:10 | 2:3], [1,7,11,12:2,3,4,10 | 8:9 | 5:6]
[1,2,3,4,5,6,7:8,9,10 | 11:12], [2,3,11,12:4,5,6,9 | 8:10 | 1:7], [1,2,7,8:3,5,11,12 | 9:10 | 4:6], [1,5,7:2,4,6 | 3,10:11,12 | 8:9]
[2,3,7,9:4,5,8,10 | 1,6:11,12], [1,5,11,12:2,4,8,10 | 3,6:7,9], [1,2,11,12:3,5,7,9 | 4,6:8,10], [7,8:9,10 | 11:12 | 1,2,3,4,5:6]
[2,3,9,10:4,5,7,8 | 1,6:11,12], [1,5,11,12:2,4,7,8 | 3,6:9,10], [1,2,11,12:3,5,9,10 | 4,6:7,8], [11:12 | 9:10 | 7:8 | 1,2,3,4,5:6]
[2,3,9,11:4,5,6,8 | 1,7:10,12], [1,4,10,12:3,5,6,8 | 2,7:9,11], [9,10:11,12 | 1,2,3,4,5,6:7,8], [1,3,10,12:2,4,9,11 | 7:8 | 5:6]
[2,3,9,11:4,5,6,8 | 1,7:10,12], [1,5,10,12:2,4,6,8 | 3,7:9,11], [1,2,10,12:3,5,9,11 | 4,8:6,7], [9,10:11,12 | 1,2,3,4,5,6:7,8]
[2,3,9,10:4,5,6,8 | 1,7:11,12], [1,4,11,12:3,5,6,8 | 2,7:9,10], [1,3,11,12:2,4,9,10 | 7:8 | 5:6], [1,2,3,4,5,6:7,8 | 11:12 | 9:10]
[2,3,9,10:4,5,6,8 | 1,7:11,12], [1,5,11,12:2,4,6,8 | 3,7:9,10], [1,2,11,12:3,5,9,10 | 4,8:6,7], [1,2,3,4,5,6:7,8 | 11:12 | 9:10]