Magma V2.19-8 Tue Aug 20 2013 23:40:41 on localhost [Seed = 2665019917] Type ? for help. Type -D to quit. Loading file "K12n387__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n387 geometric_solution 10.65025794 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 1 -1 -1 0 0 1 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500301272546 1.255369603193 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 1 0 -1 0 0 0 0 0 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705773655581 0.258844083827 8 0 6 3 0132 0132 3012 3012 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 1 -1 0 0 0 0 0 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.273709787425 0.687628221471 9 5 2 0 0132 0213 1230 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 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 0.510631748033 0.631525724541 5 8 0 8 0132 0132 0132 1302 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 -1 1 0 0 0 -1 1 0 -1 0 1 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.054308797435 0.819317514298 4 1 3 10 0132 0132 0213 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 11 0 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462671515121 0.956984698539 9 2 1 11 2103 1230 0132 0132 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 -1 0 1 0 0 0 0 0 12 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705773655581 0.258844083827 11 10 11 1 3120 0132 0213 0132 0 0 0 0 0 0 0 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 0 0 0 0 0 -1 1 12 0 0 -12 -1 -11 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.841323197103 0.545662549331 2 4 4 9 0132 0132 2031 3201 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 1 -1 0 0 0 0 0 0 -11 0 11 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.919450712207 1.215188797591 3 8 6 10 0132 2310 2103 2103 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 -11 0 11 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 0.446085447508 0.794480396107 11 7 5 9 0132 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 11 0 -11 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431116193180 0.365370670536 10 7 6 7 0132 0213 0132 3120 0 0 0 0 0 0 0 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 0 -1 1 0 0 0 0 11 1 0 -12 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.841323197103 0.545662549331 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_2'], 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : d['c_1001_3'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : d['c_1001_3'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0011_3']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_0101_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_1'], 's_2_0' : 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_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' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_11']), 'c_1100_8' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_0101_8'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : d['c_0101_8'], 'c_1100_3' : d['c_0101_8'], 'c_1100_2' : negation(d['c_1001_3']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0101_3']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0101_2']), 'c_1010_8' : negation(d['c_0011_6']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : 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' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_10']), '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_0101_1'], 'c_0110_10' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], '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_3'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_11']})} 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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0101_8, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 338190187/29742384*c_1001_3^7 - 9153393367/237939072*c_1001_3^6 + 3498387657/39656512*c_1001_3^5 - 7754824171/59484768*c_1001_3^4 + 1790284981/8497824*c_1001_3^3 - 65149844831/237939072*c_1001_3^2 + 7942668593/29742384*c_1001_3 - 4357148245/33991296, c_0011_0 - 1, c_0011_10 + 4832/36449*c_1001_3^7 - 11840/36449*c_1001_3^6 + 137699/218694*c_1001_3^5 - 26487/36449*c_1001_3^4 + 134497/109347*c_1001_3^3 - 109525/72898*c_1001_3^2 + 66033/72898*c_1001_3 + 25663/218694, c_0011_3 + 120/5207*c_1001_3^7 - 89/15621*c_1001_3^6 - 193/5207*c_1001_3^5 - 2482/15621*c_1001_3^4 + 2366/15621*c_1001_3^3 - 4705/15621*c_1001_3^2 + 57/5207*c_1001_3 - 12229/15621, c_0011_6 + 8080/109347*c_1001_3^7 - 6626/109347*c_1001_3^6 + 47753/109347*c_1001_3^5 - 51823/218694*c_1001_3^4 + 214397/218694*c_1001_3^3 - 16229/218694*c_1001_3^2 + 17657/15621*c_1001_3 - 62381/218694, c_0101_0 - 2024/15621*c_1001_3^7 + 11371/109347*c_1001_3^6 - 38383/72898*c_1001_3^5 - 13729/218694*c_1001_3^4 - 250913/218694*c_1001_3^3 - 5368/15621*c_1001_3^2 - 358163/218694*c_1001_3 - 187184/109347, c_0101_1 - 8080/109347*c_1001_3^7 + 6626/109347*c_1001_3^6 - 47753/109347*c_1001_3^5 + 51823/218694*c_1001_3^4 - 214397/218694*c_1001_3^3 + 16229/218694*c_1001_3^2 - 17657/15621*c_1001_3 - 156313/218694, c_0101_11 - 23104/109347*c_1001_3^7 + 40888/109347*c_1001_3^6 - 74618/109347*c_1001_3^5 + 21353/36449*c_1001_3^4 - 56439/36449*c_1001_3^3 + 151532/109347*c_1001_3^2 - 6626/15621*c_1001_3 - 36256/109347, c_0101_2 + 8080/109347*c_1001_3^7 - 6626/109347*c_1001_3^6 + 47753/109347*c_1001_3^5 - 51823/218694*c_1001_3^4 + 214397/218694*c_1001_3^3 - 16229/218694*c_1001_3^2 + 17657/15621*c_1001_3 + 156313/218694, c_0101_3 - 2744/15621*c_1001_3^7 + 12617/109347*c_1001_3^6 - 32979/72898*c_1001_3^5 + 18589/72898*c_1001_3^4 - 317161/218694*c_1001_3^3 + 4042/15621*c_1001_3^2 - 144257/218694*c_1001_3 - 5326/36449, c_0101_8 + 120/5207*c_1001_3^7 - 89/15621*c_1001_3^6 - 193/5207*c_1001_3^5 - 2482/15621*c_1001_3^4 + 2366/15621*c_1001_3^3 - 4705/15621*c_1001_3^2 + 57/5207*c_1001_3 - 12229/15621, c_1001_1 + 23104/109347*c_1001_3^7 - 40888/109347*c_1001_3^6 + 74618/109347*c_1001_3^5 - 21353/36449*c_1001_3^4 + 56439/36449*c_1001_3^3 - 151532/109347*c_1001_3^2 + 6626/15621*c_1001_3 + 36256/109347, c_1001_3^8 - 13/8*c_1001_3^7 + 31/8*c_1001_3^6 - 11/4*c_1001_3^5 + 9*c_1001_3^4 - 33/8*c_1001_3^3 + 45/8*c_1001_3^2 + 47/8*c_1001_3 + 17/8 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0101_8, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 1901191619968745/10410925672302*c_1001_3^15 - 19506092627316653/41643702689208*c_1001_3^14 - 3758211189724689/1735154278717*c_1001_3^13 - 16984287081741249/3470308557434*c_1001_3^12 - 624517567997221361/41643702689208*c_1001_3^11 - 1010684069958921163/41643702689208*c_1001_3^10 - 471254324756842709/10410925672302*c_1001_3^9 - 818423913859707981/13881234229736*c_1001_3^8 - 279405349299281923/3470308557434*c_1001_3^7 - 1098145148355828995/13881234229736*c_1001_3^6 - 718247783579462929/10410925672302*c_1001_3^5 - 477995586338750159/10410925672302*c_1001_3^4 - 941755774600754519/41643702689208*c_1001_3^3 - 406757914629163477/41643702689208*c_1001_3^2 - 26555065590985741/10410925672302*c_1001_3 - 6968860330024175/13881234229736, c_0011_0 - 1, c_0011_10 - 1583204555/961038094*c_1001_3^15 - 4547680791/961038094*c_1001_3^14 - 19952450749/961038094*c_1001_3^13 - 23997966009/480519047*c_1001_3^12 - 142110385303/961038094*c_1001_3^11 - 124043309117/480519047*c_1001_3^10 - 225116242630/480519047*c_1001_3^9 - 309783355127/480519047*c_1001_3^8 - 832116373619/961038094*c_1001_3^7 - 867685062157/961038094*c_1001_3^6 - 764590530161/961038094*c_1001_3^5 - 266594320881/480519047*c_1001_3^4 - 273395893371/961038094*c_1001_3^3 - 55300197999/480519047*c_1001_3^2 - 15540500344/480519047*c_1001_3 - 2153632034/480519047, c_0011_3 - 1143764948/1441557141*c_1001_3^15 - 2274537349/961038094*c_1001_3^14 - 14824219003/1441557141*c_1001_3^13 - 24246332555/961038094*c_1001_3^12 - 107015575220/1441557141*c_1001_3^11 - 191694834434/1441557141*c_1001_3^10 - 697194907217/2883114282*c_1001_3^9 - 977937571685/2883114282*c_1001_3^8 - 220374681939/480519047*c_1001_3^7 - 471669959799/961038094*c_1001_3^6 - 639933071854/1441557141*c_1001_3^5 - 930503002973/2883114282*c_1001_3^4 - 85500833609/480519047*c_1001_3^3 - 114210107111/1441557141*c_1001_3^2 - 23113709761/961038094*c_1001_3 - 12537576667/2883114282, c_0011_6 + 1, c_0101_0 + c_1001_3, c_0101_1 - 2783446514/1441557141*c_1001_3^15 - 14992746653/2883114282*c_1001_3^14 - 33685839053/1441557141*c_1001_3^13 - 52094965367/961038094*c_1001_3^12 - 235072118357/1441557141*c_1001_3^11 - 130656224328/480519047*c_1001_3^10 - 477066107191/961038094*c_1001_3^9 - 1899561455059/2883114282*c_1001_3^8 - 424563661423/480519047*c_1001_3^7 - 847851541263/961038094*c_1001_3^6 - 1082427854068/1441557141*c_1001_3^5 - 473557047859/961038094*c_1001_3^4 - 326522938186/1441557141*c_1001_3^3 - 41590519696/480519047*c_1001_3^2 - 57364020073/2883114282*c_1001_3 - 4943508437/2883114282, c_0101_11 + 3677449588/1441557141*c_1001_3^15 + 9511508147/1441557141*c_1001_3^14 + 86968578173/2883114282*c_1001_3^13 + 32892517030/480519047*c_1001_3^12 + 300258217204/1441557141*c_1001_3^11 + 324504793533/961038094*c_1001_3^10 + 597177343451/961038094*c_1001_3^9 + 2331955321289/2883114282*c_1001_3^8 + 523374091306/480519047*c_1001_3^7 + 510343327877/480519047*c_1001_3^6 + 2584588869469/2883114282*c_1001_3^5 + 276837137134/480519047*c_1001_3^4 + 372621994835/1441557141*c_1001_3^3 + 95685794377/961038094*c_1001_3^2 + 63097519073/2883114282*c_1001_3 + 5187827131/2883114282, c_0101_2 + 2783446514/1441557141*c_1001_3^15 + 14992746653/2883114282*c_1001_3^14 + 33685839053/1441557141*c_1001_3^13 + 52094965367/961038094*c_1001_3^12 + 235072118357/1441557141*c_1001_3^11 + 130656224328/480519047*c_1001_3^10 + 477066107191/961038094*c_1001_3^9 + 1899561455059/2883114282*c_1001_3^8 + 424563661423/480519047*c_1001_3^7 + 847851541263/961038094*c_1001_3^6 + 1082427854068/1441557141*c_1001_3^5 + 473557047859/961038094*c_1001_3^4 + 326522938186/1441557141*c_1001_3^3 + 41590519696/480519047*c_1001_3^2 + 57364020073/2883114282*c_1001_3 + 4943508437/2883114282, c_0101_3 + 122159347/1441557141*c_1001_3^15 - 527525033/1441557141*c_1001_3^14 - 284708873/961038094*c_1001_3^13 - 3926233953/961038094*c_1001_3^12 - 18104248843/2883114282*c_1001_3^11 - 44541169204/1441557141*c_1001_3^10 - 114571195573/2883114282*c_1001_3^9 - 42464672162/480519047*c_1001_3^8 - 48285291489/480519047*c_1001_3^7 - 73279126360/480519047*c_1001_3^6 - 379488006587/2883114282*c_1001_3^5 - 318096584629/2883114282*c_1001_3^4 - 183669742219/2883114282*c_1001_3^3 - 33272325214/1441557141*c_1001_3^2 - 28963110665/2883114282*c_1001_3 - 629824908/480519047, c_0101_8 + 3808267567/2883114282*c_1001_3^15 + 6467384540/1441557141*c_1001_3^14 + 17667599405/961038094*c_1001_3^13 + 23071150016/480519047*c_1001_3^12 + 196544096456/1441557141*c_1001_3^11 + 753435013571/2883114282*c_1001_3^10 + 1330171726135/2883114282*c_1001_3^9 + 323778889041/480519047*c_1001_3^8 + 859730236745/961038094*c_1001_3^7 + 477110839620/480519047*c_1001_3^6 + 2571081097895/2883114282*c_1001_3^5 + 941256968144/1441557141*c_1001_3^4 + 514951862006/1441557141*c_1001_3^3 + 429719782115/2883114282*c_1001_3^2 + 133488353459/2883114282*c_1001_3 + 3666029930/480519047, c_1001_1 - 3677449588/1441557141*c_1001_3^15 - 9511508147/1441557141*c_1001_3^14 - 86968578173/2883114282*c_1001_3^13 - 32892517030/480519047*c_1001_3^12 - 300258217204/1441557141*c_1001_3^11 - 324504793533/961038094*c_1001_3^10 - 597177343451/961038094*c_1001_3^9 - 2331955321289/2883114282*c_1001_3^8 - 523374091306/480519047*c_1001_3^7 - 510343327877/480519047*c_1001_3^6 - 2584588869469/2883114282*c_1001_3^5 - 276837137134/480519047*c_1001_3^4 - 372621994835/1441557141*c_1001_3^3 - 95685794377/961038094*c_1001_3^2 - 63097519073/2883114282*c_1001_3 - 5187827131/2883114282, c_1001_3^16 + 3*c_1001_3^15 + 13*c_1001_3^14 + 32*c_1001_3^13 + 94*c_1001_3^12 + 169*c_1001_3^11 + 307*c_1001_3^10 + 432*c_1001_3^9 + 584*c_1001_3^8 + 627*c_1001_3^7 + 569*c_1001_3^6 + 416*c_1001_3^5 + 232*c_1001_3^4 + 105*c_1001_3^3 + 35*c_1001_3^2 + 8*c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.820 Total time: 2.029 seconds, Total memory usage: 64.12MB