Magma V2.19-8 Tue Aug 20 2013 23:55:49 on localhost [Seed = 3852701142] Type ? for help. Type -D to quit. Loading file "K12n676__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n676 geometric_solution 11.70460378 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 2 -2 -2 -1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426119097391 0.769049902035 0 5 7 6 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.314125696826 0.321352355762 5 0 5 4 0213 0132 0321 0321 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 1 0 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.969393442168 0.782462919858 8 9 7 0 0132 0132 3201 0132 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 0 0 0 -1 1 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.632266519439 0.585249593981 10 2 0 9 0132 0321 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 1 0 2 -3 0 1 0 -1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.020765355578 1.440784851093 2 1 2 11 0213 0132 0321 0132 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 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 0.969393442168 0.782462919858 8 11 1 9 2103 0321 0132 3120 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 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 0.054463802075 1.416995612083 3 11 10 1 2310 0132 3120 0132 0 0 0 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 0 0 0 0 -2 0 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.423588659716 1.081518644508 3 12 6 10 0132 0132 2103 0213 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.609700664157 0.729354314618 6 3 4 12 3120 0132 0132 0132 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 0 0 0 0 0 0 0 3 -3 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.561753601732 0.462616805145 4 12 7 8 0132 3012 3120 0213 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 0 -1 0 0 1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.677335449475 1.386272593472 12 7 5 6 3201 0132 0132 0321 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 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 0.719067763778 0.362280659418 10 8 9 11 1230 0132 0132 2310 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 -3 0 3 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 1.159272553398 0.684287056971 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0101_7']), 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_12'], 'c_1001_6' : d['c_1001_2'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_6'], 'c_1010_12' : d['c_0011_6'], 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : negation(d['c_0101_12']), 's_0_10' : negation(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' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : 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' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_12']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_2'], 'c_1100_4' : d['c_0011_11'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_0011_11'], 'c_1100_3' : d['c_0011_11'], 'c_1100_2' : d['c_1001_2'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_2'], 'c_1100_10' : negation(d['c_0101_7']), 's_3_10' : negation(d['1']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : negation(d['c_0101_7']), 's_3_1' : d['1'], 's_3_0' : negation(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' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_0011_11'], '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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_11']), '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_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_0'], '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' : d['c_0101_12'], 'c_0110_8' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_12']})} 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_6, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_7, c_1001_0, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 641567955737/70595184*c_1001_2^16 + 7669748083121/211785552*c_1001_2^15 - 20495711896379/35297592*c_1001_2^14 - 3750798780827/6417744*c_1001_2^13 - 1558896015653/17648796*c_1001_2^12 + 11943496836793/105892776*c_1001_2^11 + 42880067930765/13236597*c_1001_2^10 + 1765531515075641/211785552*c_1001_2^9 + 741005829276967/52946388*c_1001_2^8 + 1275831446723303/70595184*c_1001_2^7 + 1276322686017847/70595184*c_1001_2^6 + 530139439238911/35297592*c_1001_2^5 + 269416271604125/26473194*c_1001_2^4 + 292486722812479/52946388*c_1001_2^3 + 257206115295485/105892776*c_1001_2^2 + 152209985985083/211785552*c_1001_2 + 34690769391629/211785552, c_0011_0 - 1, c_0011_10 - 4*c_1001_2^16 + 25*c_1001_2^15 + 14*c_1001_2^14 + 7*c_1001_2^13 + 17*c_1001_2^12 - 117*c_1001_2^11 - 268*c_1001_2^10 - 490*c_1001_2^9 - 679*c_1001_2^8 - 727*c_1001_2^7 - 679*c_1001_2^6 - 512*c_1001_2^5 - 327*c_1001_2^4 - 176*c_1001_2^3 - 68*c_1001_2^2 - 24*c_1001_2 - 3, c_0011_11 + 1913/227*c_1001_2^16 - 17655/454*c_1001_2^15 - 54191/454*c_1001_2^14 - 19931/454*c_1001_2^13 - 7951/454*c_1001_2^12 + 43088/227*c_1001_2^11 + 220763/227*c_1001_2^10 + 847327/454*c_1001_2^9 + 1242977/454*c_1001_2^8 + 1462875/454*c_1001_2^7 + 1379751/454*c_1001_2^6 + 1106251/454*c_1001_2^5 + 364114/227*c_1001_2^4 + 198347/227*c_1001_2^3 + 177213/454*c_1001_2^2 + 27746/227*c_1001_2 + 6955/227, c_0011_12 + 2269/227*c_1001_2^16 - 29899/454*c_1001_2^15 - 3637/227*c_1001_2^14 + 4811/454*c_1001_2^13 - 20451/454*c_1001_2^12 + 68407/227*c_1001_2^11 + 265515/454*c_1001_2^10 + 419499/454*c_1001_2^9 + 274255/227*c_1001_2^8 + 520021/454*c_1001_2^7 + 442013/454*c_1001_2^6 + 296061/454*c_1001_2^5 + 78563/227*c_1001_2^4 + 74553/454*c_1001_2^3 + 16993/454*c_1001_2^2 + 5585/454*c_1001_2 - 1709/454, c_0011_6 - 4756/227*c_1001_2^16 + 30628/227*c_1001_2^15 + 12540/227*c_1001_2^14 - 5236/227*c_1001_2^13 + 17708/227*c_1001_2^12 - 139577/227*c_1001_2^11 - 298206/227*c_1001_2^10 - 475014/227*c_1001_2^9 - 614918/227*c_1001_2^8 - 590456/227*c_1001_2^7 - 498280/227*c_1001_2^6 - 336819/227*c_1001_2^5 - 183193/227*c_1001_2^4 - 87815/227*c_1001_2^3 - 23659/227*c_1001_2^2 - 7450/227*c_1001_2 + 1114/227, c_0101_0 + 4968/227*c_1001_2^16 - 54833/454*c_1001_2^15 - 42125/227*c_1001_2^14 - 19059/454*c_1001_2^13 - 28467/454*c_1001_2^12 + 128746/227*c_1001_2^11 + 888117/454*c_1001_2^10 + 1594753/454*c_1001_2^9 + 1125345/227*c_1001_2^8 + 2504917/454*c_1001_2^7 + 2293163/454*c_1001_2^6 + 1768573/454*c_1001_2^5 + 560328/227*c_1001_2^4 + 595219/454*c_1001_2^3 + 250457/454*c_1001_2^2 + 77791/454*c_1001_2 + 17083/454, c_0101_1 - 1913/227*c_1001_2^16 + 17655/454*c_1001_2^15 + 54191/454*c_1001_2^14 + 19931/454*c_1001_2^13 + 7951/454*c_1001_2^12 - 43088/227*c_1001_2^11 - 220763/227*c_1001_2^10 - 847327/454*c_1001_2^9 - 1242977/454*c_1001_2^8 - 1462875/454*c_1001_2^7 - 1379751/454*c_1001_2^6 - 1106251/454*c_1001_2^5 - 364114/227*c_1001_2^4 - 198347/227*c_1001_2^3 - 177213/454*c_1001_2^2 - 27746/227*c_1001_2 - 6955/227, c_0101_10 + 6999/454*c_1001_2^16 - 42803/454*c_1001_2^15 - 16439/227*c_1001_2^14 + 609/454*c_1001_2^13 - 12344/227*c_1001_2^12 + 97768/227*c_1001_2^11 + 252506/227*c_1001_2^10 + 848129/454*c_1001_2^9 + 573008/227*c_1001_2^8 + 1194471/454*c_1001_2^7 + 1061153/454*c_1001_2^6 + 389922/227*c_1001_2^5 + 236025/227*c_1001_2^4 + 122707/227*c_1001_2^3 + 46458/227*c_1001_2^2 + 29843/454*c_1001_2 + 4303/454, c_0101_12 + 584/227*c_1001_2^16 - 12309/454*c_1001_2^15 + 27859/454*c_1001_2^14 + 13575/454*c_1001_2^13 - 12933/454*c_1001_2^12 + 27736/227*c_1001_2^11 - 33261/227*c_1001_2^10 - 183579/454*c_1001_2^9 - 307283/454*c_1001_2^8 - 457719/454*c_1001_2^7 - 456315/454*c_1001_2^6 - 406637/454*c_1001_2^5 - 146875/227*c_1001_2^4 - 82804/227*c_1001_2^3 - 87321/454*c_1001_2^2 - 13218/227*c_1001_2 - 4685/227, c_0101_7 - 1584/227*c_1001_2^16 + 21013/454*c_1001_2^15 + 4363/454*c_1001_2^14 - 4987/454*c_1001_2^13 + 14179/454*c_1001_2^12 - 47843/227*c_1001_2^11 - 90499/227*c_1001_2^10 - 278771/454*c_1001_2^9 - 358823/454*c_1001_2^8 - 328743/454*c_1001_2^7 - 276025/454*c_1001_2^6 - 180957/454*c_1001_2^5 - 46640/227*c_1001_2^4 - 21921/227*c_1001_2^3 - 8693/454*c_1001_2^2 - 1364/227*c_1001_2 + 754/227, c_1001_0 + c_1001_2^16 - 6*c_1001_2^15 - 5*c_1001_2^14 - 3*c_1001_2^13 - 5*c_1001_2^12 + 28*c_1001_2^11 + 74*c_1001_2^10 + 141*c_1001_2^9 + 205*c_1001_2^8 + 233*c_1001_2^7 + 228*c_1001_2^6 + 185*c_1001_2^5 + 128*c_1001_2^4 + 76*c_1001_2^3 + 36*c_1001_2^2 + 14*c_1001_2 + 4, c_1001_1 + c_1001_2^16 - 6*c_1001_2^15 - 5*c_1001_2^14 - 3*c_1001_2^13 - 5*c_1001_2^12 + 28*c_1001_2^11 + 74*c_1001_2^10 + 141*c_1001_2^9 + 205*c_1001_2^8 + 233*c_1001_2^7 + 228*c_1001_2^6 + 185*c_1001_2^5 + 128*c_1001_2^4 + 76*c_1001_2^3 + 36*c_1001_2^2 + 14*c_1001_2 + 4, c_1001_2^17 - 6*c_1001_2^16 - 5*c_1001_2^15 - 3*c_1001_2^14 - 5*c_1001_2^13 + 28*c_1001_2^12 + 74*c_1001_2^11 + 141*c_1001_2^10 + 205*c_1001_2^9 + 233*c_1001_2^8 + 228*c_1001_2^7 + 185*c_1001_2^6 + 128*c_1001_2^5 + 76*c_1001_2^4 + 36*c_1001_2^3 + 15*c_1001_2^2 + 4*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 4.800 Total time: 5.009 seconds, Total memory usage: 64.12MB