Magma V2.19-8 Tue Aug 20 2013 23:48:48 on localhost [Seed = 3431638614] Type ? for help. Type -D to quit. Loading file "L12n1023__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1023 geometric_solution 11.25772637 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 3 0132 0132 0132 2031 0 0 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 1 0 -1 0 0 0 0 0 1 0 -1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.023167952948 0.817788138682 0 4 2 5 0132 0132 1023 0132 1 0 0 1 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 0 0 -1 1 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.386340202046 1.001598610286 6 0 1 3 0132 0132 1023 1302 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 -1 1 0 0 0 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 0.621904779830 1.673469231600 6 0 2 0 2031 1302 2031 0132 0 0 0 1 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 0 0 0 0 1 1 0 -2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.034614465316 1.221829966019 6 1 7 8 1023 0132 0132 0132 1 0 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 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 0.288479785989 0.519345429227 9 10 1 6 0132 0132 0132 1023 1 0 1 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 -1 0 7 -6 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.288479785989 0.519345429227 2 4 3 5 0132 1023 1302 1023 0 1 1 0 0 0 0 0 0 0 0 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 1 -1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.386340202046 1.001598610286 11 10 9 4 0132 0321 0213 0132 1 0 0 1 0 0 0 0 0 0 0 0 0 -1 0 1 0 -1 1 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 1 0 -1 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581931474222 1.564674374755 9 10 4 11 2103 0213 0132 0321 1 0 1 1 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 0 0 0 0 1 -7 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432749432157 1.006916519334 5 7 8 11 0132 0213 2103 0132 1 0 0 1 0 0 0 0 0 0 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 1 -1 0 -1 0 0 1 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581931474222 1.564674374755 11 5 8 7 3012 0132 0213 0321 1 1 0 1 0 0 0 0 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 7 -7 -1 2 0 -1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432749432157 1.006916519334 7 8 9 10 0132 0321 0132 1230 1 0 1 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 0 0 -1 1 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.303131949242 0.480421564445 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0101_2'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : d['c_0011_8'], 'c_1001_8' : d['c_0101_2'], 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_0'], 'c_0101_10' : d['c_0011_8'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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' : 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_11'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_1001_11'], 'c_1100_7' : d['c_1001_11'], 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : d['c_0101_3'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_11'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0011_8'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_4'], 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : d['c_0011_8'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : 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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_0'], '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_10'], 'c_0110_10' : d['c_0011_11'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_8, c_0101_0, c_0101_2, c_0101_3, c_0101_8, c_1001_0, c_1001_11, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 1679224371135527/228615093171905*c_1001_4^15 - 7097471049194239/228615093171905*c_1001_4^14 - 22093931546554524/228615093171905*c_1001_4^13 - 38148153773579106/228615093171905*c_1001_4^12 - 64987536465479731/228615093171905*c_1001_4^11 - 14103863343350075/45723018634381*c_1001_4^10 - 86414404261248982/228615093171905*c_1001_4^9 - 60650422500501279/228615093171905*c_1001_4^8 - 62912418764269464/228615093171905*c_1001_4^7 - 70789956777024923/457230186343810*c_1001_4^6 - 40575144273231701/228615093171905*c_1001_4^5 - 27443094678608439/228615093171905*c_1001_4^4 - 9024285735538243/45723018634381*c_1001_4^3 - 25749544320292493/228615093171905*c_1001_4^2 - 199023188878616/1889380935305*c_1001_4 - 15259414314108791/228615093171905, c_0011_0 - 1, c_0011_10 - 35603933084/377876187061*c_1001_4^15 - 177827506674/377876187061*c_1001_4^14 - 489556522232/377876187061*c_1001_4^13 - 768027807312/377876187061*c_1001_4^12 - 791552017558/377876187061*c_1001_4^11 - 650598098572/377876187061*c_1001_4^10 - 132254191432/377876187061*c_1001_4^9 - 372529263716/377876187061*c_1001_4^8 + 250795077110/377876187061*c_1001_4^7 - 1000168284700/377876187061*c_1001_4^6 - 7210308651/377876187061*c_1001_4^5 - 963360861357/377876187061*c_1001_4^4 + 179853252647/377876187061*c_1001_4^3 - 515947608450/377876187061*c_1001_4^2 + 499178544234/377876187061*c_1001_4 - 188318825784/377876187061, c_0011_11 + 51871841108/377876187061*c_1001_4^15 + 175740926408/377876187061*c_1001_4^14 + 493154971358/377876187061*c_1001_4^13 + 551510649926/377876187061*c_1001_4^12 + 864147015142/377876187061*c_1001_4^11 + 160030079320/377876187061*c_1001_4^10 + 563648378290/377876187061*c_1001_4^9 - 657218343484/377876187061*c_1001_4^8 + 805543836672/377876187061*c_1001_4^7 - 245565517048/377876187061*c_1001_4^6 + 1257261155062/377876187061*c_1001_4^5 - 250432925949/377876187061*c_1001_4^4 + 1038584344934/377876187061*c_1001_4^3 - 553829086991/377876187061*c_1001_4^2 + 229545399331/377876187061*c_1001_4 - 57669305932/377876187061, c_0011_3 - 102944547790/377876187061*c_1001_4^15 - 273229710286/377876187061*c_1001_4^14 - 748673423436/377876187061*c_1001_4^13 - 539888955668/377876187061*c_1001_4^12 - 1393807696278/377876187061*c_1001_4^11 - 32004364762/377876187061*c_1001_4^10 - 2025960143968/377876187061*c_1001_4^9 + 852866025962/377876187061*c_1001_4^8 - 2612862622194/377876187061*c_1001_4^7 + 1138956318055/377876187061*c_1001_4^6 - 2088168149000/377876187061*c_1001_4^5 + 1294017156026/377876187061*c_1001_4^4 - 2073503298448/377876187061*c_1001_4^3 + 1724620881468/377876187061*c_1001_4^2 - 1370956255869/377876187061*c_1001_4 + 684683755351/377876187061, c_0011_8 - 39697421746/377876187061*c_1001_4^15 - 95289114782/377876187061*c_1001_4^14 - 235010705164/377876187061*c_1001_4^13 - 82271812872/377876187061*c_1001_4^12 - 346295813076/377876187061*c_1001_4^11 + 118534825656/377876187061*c_1001_4^10 - 567532145034/377876187061*c_1001_4^9 + 204910835552/377876187061*c_1001_4^8 - 877442376960/377876187061*c_1001_4^7 - 27013552597/377876187061*c_1001_4^6 - 446060034540/377876187061*c_1001_4^5 + 214495310380/377876187061*c_1001_4^4 - 378448235614/377876187061*c_1001_4^3 + 671592484412/377876187061*c_1001_4^2 - 426653200522/377876187061*c_1001_4 + 102156893117/377876187061, c_0101_0 - 1, c_0101_2 + 35603933084/377876187061*c_1001_4^15 + 177827506674/377876187061*c_1001_4^14 + 489556522232/377876187061*c_1001_4^13 + 768027807312/377876187061*c_1001_4^12 + 791552017558/377876187061*c_1001_4^11 + 650598098572/377876187061*c_1001_4^10 + 132254191432/377876187061*c_1001_4^9 + 372529263716/377876187061*c_1001_4^8 - 250795077110/377876187061*c_1001_4^7 + 1000168284700/377876187061*c_1001_4^6 + 7210308651/377876187061*c_1001_4^5 + 963360861357/377876187061*c_1001_4^4 - 179853252647/377876187061*c_1001_4^3 + 893823795511/377876187061*c_1001_4^2 - 499178544234/377876187061*c_1001_4 + 188318825784/377876187061, c_0101_3 + 1, c_0101_8 + c_1001_4, c_1001_0 + 163506194221/377876187061*c_1001_4^15 + 553311924314/377876187061*c_1001_4^14 + 1600815338587/377876187061*c_1001_4^13 + 1984484805399/377876187061*c_1001_4^12 + 3489091623758/377876187061*c_1001_4^11 + 1965999207572/377876187061*c_1001_4^10 + 3844464640518/377876187061*c_1001_4^9 - 7139709967/377876187061*c_1001_4^8 + 3361496224122/377876187061*c_1001_4^7 - 1663466372539/755752374122*c_1001_4^6 + 5677966397963/755752374122*c_1001_4^5 - 956972369994/377876187061*c_1001_4^4 + 6063138692771/755752374122*c_1001_4^3 - 1149354842062/377876187061*c_1001_4^2 + 1870764875001/377876187061*c_1001_4 - 479267129181/755752374122, c_1001_11 + 35603933084/377876187061*c_1001_4^15 + 177827506674/377876187061*c_1001_4^14 + 489556522232/377876187061*c_1001_4^13 + 768027807312/377876187061*c_1001_4^12 + 791552017558/377876187061*c_1001_4^11 + 650598098572/377876187061*c_1001_4^10 + 132254191432/377876187061*c_1001_4^9 + 372529263716/377876187061*c_1001_4^8 - 250795077110/377876187061*c_1001_4^7 + 1000168284700/377876187061*c_1001_4^6 + 7210308651/377876187061*c_1001_4^5 + 963360861357/377876187061*c_1001_4^4 - 179853252647/377876187061*c_1001_4^3 + 515947608450/377876187061*c_1001_4^2 - 499178544234/377876187061*c_1001_4 + 188318825784/377876187061, c_1001_4^16 + 3*c_1001_4^15 + 9*c_1001_4^14 + 10*c_1001_4^13 + 21*c_1001_4^12 + 8*c_1001_4^11 + 26*c_1001_4^10 - 7*c_1001_4^9 + 29*c_1001_4^8 - 27/2*c_1001_4^7 + 30*c_1001_4^6 - 25/2*c_1001_4^5 + 59/2*c_1001_4^4 - 37/2*c_1001_4^3 + 22*c_1001_4^2 - 23/2*c_1001_4 + 11/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.350 seconds, Total memory usage: 32.09MB