sage: normal_surfaces.main(num_to_check = 87047)                                                                                                                                                                                                                                              
kLvwQLQkbeghfijjijihahhhxxaxax_2000221100
0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 0 0 ; 1 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 0 0 ; 1 0 0 || 0 0 1 1 ; 0 0 0
1 1 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 0 0 0 0 ; 1 0 0 || 1 1 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 0 0 ; 1 0 0
0 0 0 0 ; 0 0 1 || 0 0 0 0 ; 0 1 0 || 1 0 1 0 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 1 0 ; 0 0 0 || 0 1 1 0 ; 0 0 0 || 0 1 1 0 ; 0 0 0 || 0 1 1 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0
lLLwLwQQcbeeehjikkjkjhhaaoxfahxha_01110000021
0 0 0 0 ; 0 0 0 || 0 0 0 0 ; 0 0 0 || 0 0 0 0 ; 0 0 0 || 0 0 0 0 ; 0 0 0 || 0 0 0 0 ; 0 0 0 || 0 0 1 0 ; 0 0 0 || 0 0 0 1 ; 0 0 0 || 1 0 0 0 ; 0 0 0 || 0 1 0 0 ; 0 0 0 || 0 0 0 0 ; 0 0 1 || 0 0 0 0 ; 0 0 1
1 0 1 0 ; 0 0 0 || 0 0 0 0 ; 0 1 0 || 1 0 1 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 0 0 0 0 ; 0 1 0 || 1 0 0 0 ; 0 0 0 || 1 0 1 1 ; 0 0 0 || 0 0 1 0 ; 0 0 0 || 1 1 1 0 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0
0 0 0 0 ; 0 1 0 || 0 0 0 0 ; 0 1 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 1 1 ; 0 0 0 || 0 1 0 0 ; 0 0 0 || 1 1 0 1 ; 0 0 0 || 0 0 0 1 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0
nLLvzAMQMkbehfjijhilkmmmhhagbgbrrhhhah_0111022022002
1 1 1 1 ; 0 0 0 || 1 1 1 1 ; 0 0 0 || 1 0 1 1 ; 0 0 0 || 1 1 1 0 ; 0 0 0 || 1 1 1 1 ; 0 0 0 || 1 0 1 1 ; 0 0 0 || 1 0 0 1 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 0 1 1 0 ; 0 0 0 || 1 1 1 0 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 0 0 0 ; 0 1 0 || 0 0 0 0 ; 0 0 1
0 0 0 0 ; 0 0 0 || 0 0 0 0 ; 0 0 0 || 0 1 0 0 ; 0 0 0 || 0 0 0 1 ; 0 0 0 || 0 0 0 0 ; 0 0 0 || 0 1 0 0 ; 0 0 0 || 0 1 1 0 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 1 0 0 1 ; 0 0 0 || 0 0 0 1 ; 0 0 0 || 0 0 0 0 ; 0 1 0 || 1 0 1 0 ; 0 0 0 || 0 0 0 0 ; 0 0 1
1 0 1 0 ; 0 0 0 || 0 0 0 0 ; 0 1 0 || 1 0 1 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 0 0 0 0 ; 0 1 0 || 0 0 1 0 ; 0 0 0 || 1 0 0 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 0 0 1 0 ; 0 0 0 || 1 0 0 0 ; 0 0 0 || 0 0 0 0 ; 0 0 0 || 0 0 0 0 ; 0 0 0 || 0 0 0 0 ; 0 0 0
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0 1 1 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 0 1 1 0 ; 0 0 0 || 0 1 1 0 ; 0 0 0 || 0 1 1 0 ; 0 0 0 || 0 1 1 0 ; 0 0 0 || 0 1 1 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 0 0 0 0 ; 1 0 0 || 0 0 0 0 ; 0 0 1
1 0 1 0 ; 0 0 0 || 0 0 0 0 ; 0 1 0 || 1 0 1 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 0 0 0 0 ; 0 1 0 || 1 0 1 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0
0 0 0 0 ; 0 1 0 || 0 0 0 0 ; 0 1 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0
oLLvQLQvAQcbeghfijjimmnnnmhhaaaaaaaaaqaqa_01110220111100
0 0 1 1 ; 0 0 0 || 1 0 0 1 ; 0 0 0 || 1 0 0 1 ; 0 0 0 || 1 0 0 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 1 0 0 1 ; 0 0 0 || 1 0 0 1 ; 0 0 0 || 1 0 0 1 ; 0 0 0 || 0 0 0 0 ; 0 0 1 || 0 0 1 1 ; 0 0 0 || 0 0 0 0 ; 1 0 0
1 1 0 0 ; 0 0 0 || 0 1 1 0 ; 0 0 0 || 0 1 1 0 ; 0 0 0 || 0 1 1 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 0 1 1 0 ; 0 0 0 || 0 1 1 0 ; 0 0 0 || 0 0 0 0 ; 0 0 1 || 0 1 1 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 0 0 0 0 ; 1 0 0
1 0 1 0 ; 0 0 0 || 0 0 0 0 ; 0 1 0 || 1 0 1 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 0 0 0 0 ; 0 1 0 || 1 0 1 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0
0 0 0 0 ; 0 1 0 || 0 0 0 0 ; 0 1 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0
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1 1 1 1 ; 0 0 0 || 1 1 1 1 ; 0 0 0 || 1 0 1 1 ; 0 0 0 || 1 1 1 0 ; 0 0 0 || 1 1 1 1 ; 0 0 0 || 1 0 1 1 ; 0 0 0 || 1 0 0 1 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 0 1 1 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 1 1 1 0 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 0 0 0 ; 0 1 0 || 0 0 0 0 ; 0 0 1
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0 0 1 1 ; 0 0 0 || 1 0 0 1 ; 0 0 0 || 1 0 0 1 ; 0 0 0 || 1 0 0 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 1 0 0 1 ; 0 0 0 || 0 0 0 0 ; 0 0 1 || 1 0 1 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 0 0 ; 1 0 0
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1 0 1 0 ; 0 0 0 || 0 0 0 0 ; 0 1 0 || 1 0 1 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 0 0 0 0 ; 0 1 0 || 1 0 1 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0
0 0 0 0 ; 0 1 0 || 0 0 0 0 ; 0 1 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0
oLLwMvQzAQcbeefehjiklmlnnnhhaaafaaffafxsf_01110000112201
0 0 0 0 ; 0 0 0 || 0 0 0 0 ; 0 0 0 || 0 0 0 0 ; 0 0 0 || 0 0 0 0 ; 0 0 0 || 0 0 0 0 ; 0 0 0 || 0 0 0 0 ; 0 0 0 || 0 0 0 1 ; 0 0 0 || 0 1 0 0 ; 0 0 0 || 0 1 0 0 ; 0 0 0 || 0 0 0 1 ; 0 0 0 || 1 0 0 0 ; 0 0 0 || 0 1 0 0 ; 0 0 0 || 0 0 0 0 ; 0 1 0 || 0 0 0 0 ; 0 1 0
1 0 1 0 ; 0 0 0 || 0 0 0 0 ; 0 1 0 || 1 0 1 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 0 0 0 0 ; 0 1 0 || 1 0 1 0 ; 0 0 0 || 1 0 1 1 ; 0 0 0 || 1 1 1 0 ; 0 0 0 || 1 1 1 0 ; 0 0 0 || 1 0 1 1 ; 0 0 0 || 1 0 1 1 ; 0 0 0 || 0 1 1 1 ; 0 0 0 || 1 1 1 1 ; 0 0 0 || 1 1 1 1 ; 0 0 0
0 0 0 0 ; 0 1 0 || 0 0 0 0 ; 0 1 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 0 ; 0 0 0 || 0 0 0 1 ; 0 0 0 || 0 0 0 1 ; 0 0 0 || 0 1 0 0 ; 0 0 0 || 0 1 0 0 ; 0 0 0 || 1 0 0 0 ; 0 0 0 || 0 0 0 0 ; 0 0 0 || 0 0 0 0 ; 0 0 0
oLvwLLAPQQcbefkllmlnnkmnmkhahxxaaaahqhhhq_20002211110000
0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 0 0 ; 1 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 0 0 ; 1 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0
1 1 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 0 0 0 0 ; 1 0 0 || 1 1 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 0 0 ; 1 0 0 || 1 1 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0
0 0 0 0 ; 0 0 1 || 0 0 0 0 ; 0 1 0 || 1 0 1 0 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 1 0 ; 0 0 0 || 0 1 1 0 ; 0 0 0 || 0 1 1 0 ; 0 0 0 || 0 1 1 0 ; 0 0 0 || 1 0 0 1 ; 0 0 0 || 1 0 0 1 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0
oLvwMLwQAQcbegfhjilklmnmnnhahhnabauafhsml_20002211100002
1 1 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 0 1 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 1 0 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 1 0 0 0 ; 0 0 0 || 1 0 0 0 ; 0 0 0 || 1 0 0 0 ; 0 0 0 || 0 1 0 0 ; 0 0 0 || 0 0 0 0 ; 0 1 0 || 0 1 0 0 ; 0 0 0 || 0 1 0 0 ; 0 0 0 || 0 0 0 0 ; 0 0 1
0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 1 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 1 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 1 1 1 ; 0 0 0 || 0 1 1 1 ; 0 0 0 || 0 1 1 1 ; 0 0 0 || 0 0 0 1 ; 0 1 0 || 1 0 1 0 ; 0 0 0 || 1 0 1 1 ; 0 0 0 || 1 0 0 0 ; 1 0 0 || 1 0 0 1 ; 0 0 0
0 0 0 0 ; 0 0 0 || 0 0 0 0 ; 0 0 0 || 0 0 0 0 ; 0 0 0 || 0 0 0 1 ; 0 0 0 || 0 0 0 0 ; 0 0 0 || 0 0 1 0 ; 0 0 0 || 0 0 1 0 ; 0 0 0 || 0 0 0 1 ; 0 0 0 || 0 0 0 0 ; 0 1 0 || 0 0 1 0 ; 0 0 0 || 0 0 0 1 ; 0 0 0 || 0 0 0 0 ; 0 0 1 || 0 0 1 0 ; 0 0 0 || 0 0 1 0 ; 0 0 0
oLvwMvMQQPcbegfjmlkmmklnnnhahhahxahhqhhha_20002211100002
0 0 0 0 ; 0 0 0 || 0 0 0 0 ; 0 0 0 || 1 0 0 0 ; 0 0 0 || 0 0 0 1 ; 0 0 0 || 0 1 0 0 ; 0 0 0 || 0 0 1 0 ; 0 0 0 || 0 1 1 0 ; 0 0 0 || 0 1 0 2 ; 0 0 0 || 0 2 0 1 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 1 0 0 2 ; 0 0 0 || 0 2 1 0 ; 0 0 0 || 0 1 1 0 ; 1 0 0 || 1 0 1 0 ; 1 0 0
1 1 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 0 0 0 0 ; 1 0 0 || 1 1 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 0 0 0 0 ; 1 0 0 || 1 1 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0
0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 0 0 ; 1 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 0 0 ; 1 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0
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oLvwQLwAPQcbeghfjiklmnmnnmhaaahhhaaaaaqaq_01110000221100
0 0 1 1 ; 0 0 0 || 1 0 0 1 ; 0 0 0 || 1 0 0 1 ; 0 0 0 || 1 0 0 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 1 0 0 1 ; 0 0 0 || 0 0 0 0 ; 0 0 1 || 0 0 1 1 ; 0 0 0 || 0 0 0 0 ; 1 0 0
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1 1 1 1 ; 0 0 0 || 1 1 1 1 ; 0 0 0 || 1 0 1 1 ; 0 0 0 || 1 1 1 0 ; 0 0 0 || 1 0 1 1 ; 0 0 0 || 1 1 0 1 ; 0 0 0 || 1 0 1 0 ; 1 0 0 || 1 0 1 0 ; 0 0 0 || 0 0 1 1 ; 0 1 0 || 0 0 1 1 ; 0 0 0 || 1 0 2 0 ; 0 0 0 || 2 0 1 0 ; 0 0 0 || 2 0 1 0 ; 0 0 0 || 1 0 2 0 ; 0 0 0
0 0 0 0 ; 0 1 0 || 0 0 0 0 ; 0 1 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 1 0 1 0 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 1 1 0 0 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 1 0 1 ; 0 0 0
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0 1 0 0 ; 0 0 0 || 0 1 0 0 ; 0 0 0 || 0 0 0 0 ; 0 0 0 || 0 1 0 0 ; 0 0 0 || 0 0 0 0 ; 1 0 0 || 0 0 0 0 ; 0 0 0 || 0 1 0 0 ; 0 0 0 || 1 0 0 0 ; 0 0 0 || 0 0 0 1 ; 0 0 0 || 0 1 0 0 ; 0 0 0 || 0 0 1 0 ; 0 0 0 || 0 0 0 1 ; 0 0 0 || 0 1 0 0 ; 0 0 0 || 0 0 0 0 ; 0 0 1
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pLLLLAPLwQQbcfighkjmlonononxcxcvcaaaaaahxxh_102221100222211
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pLLLvAzPQAQbcfghlnmnkkmnoooxcxvcaxhxxkvcaxx_102221100122221
0 0 0 0 ; 0 0 0 || 0 0 0 0 ; 0 0 0 || 0 0 0 0 ; 0 0 0 || 1 0 0 0 ; 0 0 0 || 0 0 1 0 ; 0 0 0 || 1 0 0 0 ; 0 0 0 || 0 0 1 0 ; 0 0 0 || 0 1 0 1 ; 0 0 0 || 0 0 2 1 ; 0 0 0 || 1 0 2 0 ; 0 0 0 || 0 2 0 1 ; 0 0 0 || 0 0 1 1 ; 0 0 0 || 2 0 1 0 ; 0 0 0 || 0 1 0 1 ; 0 0 1 || 1 1 0 0 ; 0 0 1
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