Magma V2.19-8 Wed Aug 21 2013 01:01:45 on localhost [Seed = 1864987834] Type ? for help. Type -D to quit. Loading file "L14n13311__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13311 geometric_solution 11.94287245 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 1 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 0 0 -1 0 1 0 0 -1 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.872000857186 1.442153300116 0 5 5 4 0132 0132 1302 0213 0 1 1 1 0 0 -1 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 0 0 0 1 -1 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319879078438 0.911063715717 4 0 6 3 0213 0132 0132 3120 0 1 1 1 0 -1 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 0 0 1 1 -2 0 0 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 0.758918185996 0.654438071742 2 7 8 0 3120 0132 0132 0132 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 -1 1 -1 1 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.419084537039 0.370386340837 2 9 0 1 0213 0132 0132 0213 0 1 1 1 0 0 1 -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 0 0 0 -1 1 1 0 -1 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.040940902158 1.010708854244 1 1 8 10 2031 0132 0321 0132 0 0 1 1 0 0 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 0 -1 0 0 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.656914523496 0.977159026962 9 7 7 2 0321 0213 2103 0132 0 1 1 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 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.493875490711 0.555079918404 6 3 6 11 2103 0132 0213 0132 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.896945372888 0.983703328446 12 10 5 3 0132 2310 0321 0132 0 1 0 0 0 0 0 0 0 0 0 0 0 1 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 -1 0 0 1 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.660292299299 1.184031834147 6 4 12 11 0321 0132 2031 0213 0 1 1 1 0 0 0 0 0 0 1 -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 0 -1 0 -1 2 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.276110128922 0.623554951671 11 12 5 8 1302 3120 0132 3201 0 0 0 1 0 0 0 0 0 0 1 -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 0 -1 0 -1 2 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.208599388346 1.049304344433 12 10 7 9 2103 2031 0132 0213 0 1 1 0 0 0 0 0 0 0 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 1 0 0 -1 1 1 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.880296151331 0.759111413258 8 10 11 9 0132 3120 2103 1302 1 1 0 0 0 0 1 -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 0 0 0 -1 1 1 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 0.581351781892 0.852070338321 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_10']), 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : negation(d['c_0110_10']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0011_12'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0011_12']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_11']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_5'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_12'], 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : d['c_1001_2'], 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_1001_5'], 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : negation(d['c_0101_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_2'], 'c_1100_10' : d['c_0011_12'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0110_10']), 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0110_10']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_6']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_6'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0101_5']), 'c_0101_12' : d['c_0101_11'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : d['c_0011_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : negation(d['c_0101_5']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_6']), 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0011_4']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_11, c_0101_5, c_0110_10, c_1001_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 282267683553/196560800*c_1001_5^11 + 4448528076561/196560800*c_1001_5^10 + 27158928351381/196560800*c_1001_5^9 + 87757844599203/196560800*c_1001_5^8 + 189504201798701/196560800*c_1001_5^7 + 73800521411673/49140200*c_1001_5^6 + 67174893510561/39312160*c_1001_5^5 + 1745304767683/1228505*c_1001_5^4 + 163561135249681/196560800*c_1001_5^3 + 3737403477269/12285050*c_1001_5^2 + 795903762167/12285050*c_1001_5 + 1174429461407/196560800, c_0011_0 - 1, c_0011_10 - 1113815/28906*c_1001_5^11 - 17540601/28906*c_1001_5^10 - 106964409/28906*c_1001_5^9 - 345070839/28906*c_1001_5^8 - 743943205/28906*c_1001_5^7 - 578382073/14453*c_1001_5^6 - 1313039535/28906*c_1001_5^5 - 544171026/14453*c_1001_5^4 - 634623745/28906*c_1001_5^3 - 115066105/14453*c_1001_5^2 - 24250681/14453*c_1001_5 - 4426703/28906, c_0011_11 + 37685429/1156240*c_1001_5^11 + 593991893/1156240*c_1001_5^10 + 3627181753/1156240*c_1001_5^9 + 11724612479/1156240*c_1001_5^8 + 25329530513/1156240*c_1001_5^7 + 9869525429/289060*c_1001_5^6 + 8989755253/231248*c_1001_5^5 + 467586297/14453*c_1001_5^4 + 21941592613/1156240*c_1001_5^3 + 502758737/72265*c_1001_5^2 + 107582996/72265*c_1001_5 + 158853531/1156240, c_0011_12 - 10876809/578120*c_1001_5^11 - 171496793/578120*c_1001_5^10 - 1047809573/578120*c_1001_5^9 - 3389731419/578120*c_1001_5^8 - 7329592573/578120*c_1001_5^7 - 2858890269/144530*c_1001_5^6 - 2607556697/115624*c_1001_5^5 - 271720091/14453*c_1001_5^4 - 6390385233/578120*c_1001_5^3 - 294017704/72265*c_1001_5^2 - 63110082/72265*c_1001_5 - 46621871/578120, c_0011_3 + 1, c_0011_4 - 5072981/1156240*c_1001_5^11 - 79602917/1156240*c_1001_5^10 - 482754857/1156240*c_1001_5^9 - 1545680351/1156240*c_1001_5^8 - 3309348657/1156240*c_1001_5^7 - 1277269941/289060*c_1001_5^6 - 1150093989/231248*c_1001_5^5 - 59017990/14453*c_1001_5^4 - 2720119397/1156240*c_1001_5^3 - 60433098/72265*c_1001_5^2 - 12561259/72265*c_1001_5 - 16320219/1156240, c_0011_6 - 2969213/57812*c_1001_5^11 - 46765825/57812*c_1001_5^10 - 285236677/57812*c_1001_5^9 - 920409283/57812*c_1001_5^8 - 1984765293/57812*c_1001_5^7 - 771740302/14453*c_1001_5^6 - 3505203017/57812*c_1001_5^5 - 726655657/14453*c_1001_5^4 - 1695908497/57812*c_1001_5^3 - 153883189/14453*c_1001_5^2 - 32444028/14453*c_1001_5 - 11764807/57812, c_0101_0 + 48116891/1156240*c_1001_5^11 + 757877707/1156240*c_1001_5^10 + 4622854487/1156240*c_1001_5^9 + 14919805361/1156240*c_1001_5^8 + 32182855887/1156240*c_1001_5^7 + 12519302591/289060*c_1001_5^6 + 11380170251/231248*c_1001_5^5 + 590428690/14453*c_1001_5^4 + 27608428507/1156240*c_1001_5^3 + 628596398/72265*c_1001_5^2 + 133437754/72265*c_1001_5 + 195964709/1156240, c_0101_11 - 5072981/1156240*c_1001_5^11 - 79602917/1156240*c_1001_5^10 - 482754857/1156240*c_1001_5^9 - 1545680351/1156240*c_1001_5^8 - 3309348657/1156240*c_1001_5^7 - 1277269941/289060*c_1001_5^6 - 1150093989/231248*c_1001_5^5 - 59017990/14453*c_1001_5^4 - 2720119397/1156240*c_1001_5^3 - 60433098/72265*c_1001_5^2 - 12633524/72265*c_1001_5 - 17476459/1156240, c_0101_5 - 1564779/1156240*c_1001_5^11 - 24543243/1156240*c_1001_5^10 - 148695303/1156240*c_1001_5^9 - 475095169/1156240*c_1001_5^8 - 1014008303/1156240*c_1001_5^7 - 389923919/289060*c_1001_5^6 - 349322315/231248*c_1001_5^5 - 17806326/14453*c_1001_5^4 - 813686763/1156240*c_1001_5^3 - 17876627/72265*c_1001_5^2 - 3808171/72265*c_1001_5 - 6229221/1156240, c_0110_10 + 48116891/1156240*c_1001_5^11 + 757877707/1156240*c_1001_5^10 + 4622854487/1156240*c_1001_5^9 + 14919805361/1156240*c_1001_5^8 + 32182855887/1156240*c_1001_5^7 + 12519302591/289060*c_1001_5^6 + 11380170251/231248*c_1001_5^5 + 590428690/14453*c_1001_5^4 + 27608428507/1156240*c_1001_5^3 + 628596398/72265*c_1001_5^2 + 133437754/72265*c_1001_5 + 195964709/1156240, c_1001_2 - 24838989/578120*c_1001_5^11 - 391413253/578120*c_1001_5^10 - 2389208993/578120*c_1001_5^9 - 7718478639/578120*c_1001_5^8 - 16664703793/578120*c_1001_5^7 - 6489211299/144530*c_1001_5^6 - 5906351709/115624*c_1001_5^5 - 613874690/14453*c_1001_5^4 - 14386539493/578120*c_1001_5^3 - 658022329/72265*c_1001_5^2 - 140444787/72265*c_1001_5 - 103485211/578120, c_1001_5^12 + 16*c_1001_5^11 + 100*c_1001_5^10 + 334*c_1001_5^9 + 746*c_1001_5^8 + 1207*c_1001_5^7 + 1441*c_1001_5^6 + 1275*c_1001_5^5 + 817*c_1001_5^4 + 351*c_1001_5^3 + 96*c_1001_5^2 + 15*c_1001_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB