Magma V2.19-8 Tue Aug 20 2013 17:59:13 on localhost [Seed = 1427431875] Type ? for help. Type -D to quit. Loading file "10^2_31__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_31 geometric_solution 13.31845811 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 1 2 3 4 0132 0132 0132 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 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 0.670943037132 0.814882379518 0 5 6 6 0132 0132 0213 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 -1 1 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 0.520963486155 1.100503182545 7 0 9 8 0132 0132 0132 0132 0 1 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 1 0 -2 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 0.359180269081 0.471070835193 10 4 6 0 0132 0321 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 -1 1 0 0 0 0 0 1 0 -1 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.858368774858 1.037177847028 5 11 0 3 2103 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 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 0.770069206525 0.475434377230 12 1 4 11 0132 0132 2103 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 -1 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 0.261857308631 0.797238905637 12 1 1 3 3012 0213 0132 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 -1 0 1 -1 0 1 0 5 -1 0 -4 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.332529562850 0.763928910699 2 12 10 9 0132 0132 1023 0132 0 1 0 0 0 0 0 0 1 0 0 -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 1 0 -1 -1 0 0 1 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757004420139 1.202433203557 10 11 2 13 1023 0213 0132 0132 0 1 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 -1 1 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.052852661469 1.144450108355 13 11 7 2 0132 0321 0132 0132 0 1 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 1 -1 -1 0 -1 2 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.189666130507 1.068840514786 3 8 7 13 0132 1023 1023 1023 1 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 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479866564789 0.435961245250 5 4 8 9 3120 0132 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.708976230463 0.597566074759 5 7 13 6 0132 0132 0213 1230 0 0 0 0 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 0 0 0 0 0 0 0 0 -1 0 1 0 0 5 -5 0 0 0 0 1 -5 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508669705025 0.977127762446 9 12 8 10 0132 0213 0132 1023 0 1 0 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 0 0 0 1 0 -1 0 5 -5 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.189666130507 1.068840514786 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_0101_7'], 'c_1001_13' : d['c_1001_12'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_12'], 'c_1001_8' : d['c_1001_0'], 'c_1010_13' : d['c_0101_3'], 'c_1010_12' : d['c_0101_0'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_0101_13'], 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_1001_3'], 'c_1100_7' : negation(d['c_1100_10']), 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_1001_3'], 'c_1100_3' : d['c_1001_3'], 'c_1100_2' : negation(d['c_1100_10']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_12'], 'c_1100_10' : d['c_1100_10'], 'c_1100_13' : negation(d['c_1100_10']), 's_0_11' : d['1'], 's_3_13' : negation(d['1']), 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_11']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_12'], 'c_1100_8' : negation(d['c_1100_10']), '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' : negation(d['1']), 'c_1100_12' : d['c_0101_3'], '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' : negation(d['c_0011_13']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0101_13' : d['c_0101_13'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_13'], 'c_0110_10' : d['c_0101_3'], 'c_0110_13' : d['c_0101_13'], 'c_0110_12' : d['c_0011_6'], 's_0_13' : d['1'], 'c_0101_12' : d['c_0011_13'], 'c_0011_7' : d['c_0011_0'], 'c_0110_0' : d['c_0011_6'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_13'], 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_13'], 'c_0101_8' : d['c_0101_7'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_13'], 'c_0110_8' : d['c_0101_13'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1100_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_13'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_13'], 'c_0110_6' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_6, c_0101_0, c_0101_13, c_0101_3, c_0101_7, c_1001_0, c_1001_12, c_1001_2, c_1001_3, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 12967/1690293*c_1001_3^5 + 797366/1690293*c_1001_3^4 + 63631/198858*c_1001_3^3 + 3042401/1690293*c_1001_3^2 + 1537499/3380586*c_1001_3 + 1534513/1690293, c_0011_0 - 1, c_0011_10 + c_1001_3^5 - c_1001_3^4 + 4*c_1001_3^3 - 5*c_1001_3^2 + 5*c_1001_3 - 2, c_0011_11 + 2/3*c_1001_3^5 + 2/3*c_1001_3^4 + 7/3*c_1001_3^3 + 5/3*c_1001_3^2 + 4/3*c_1001_3 + 4/3, c_0011_13 + 5/3*c_1001_3^5 - 1/3*c_1001_3^4 + 19/3*c_1001_3^3 - 7/3*c_1001_3^2 + 10/3*c_1001_3 + 1/3, c_0011_6 - 2/3*c_1001_3^5 + 1/3*c_1001_3^4 - 7/3*c_1001_3^3 + 7/3*c_1001_3^2 - 10/3*c_1001_3 + 5/3, c_0101_0 - 4/3*c_1001_3^5 + 2/3*c_1001_3^4 - 14/3*c_1001_3^3 + 14/3*c_1001_3^2 - 14/3*c_1001_3 + 7/3, c_0101_13 - 1, c_0101_3 - 1/3*c_1001_3^5 - 1/3*c_1001_3^4 - 5/3*c_1001_3^3 - 1/3*c_1001_3^2 - 2/3*c_1001_3 + 1/3, c_0101_7 + 2/3*c_1001_3^5 - 1/3*c_1001_3^4 + 7/3*c_1001_3^3 - 4/3*c_1001_3^2 + 7/3*c_1001_3 + 1/3, c_1001_0 - 1/3*c_1001_3^5 - 1/3*c_1001_3^4 - 2/3*c_1001_3^3 - 1/3*c_1001_3^2 + 1/3*c_1001_3 - 2/3, c_1001_12 + 4/3*c_1001_3^5 - 2/3*c_1001_3^4 + 14/3*c_1001_3^3 - 8/3*c_1001_3^2 + 8/3*c_1001_3 + 2/3, c_1001_2 - 1/3*c_1001_3^5 - 1/3*c_1001_3^4 - 5/3*c_1001_3^3 - 1/3*c_1001_3^2 - 2/3*c_1001_3 + 1/3, c_1001_3^6 + 4*c_1001_3^4 - c_1001_3^3 + 4*c_1001_3^2 + 1, c_1100_10 + 1 ], Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_6, c_0101_0, c_0101_13, c_0101_3, c_0101_7, c_1001_0, c_1001_12, c_1001_2, c_1001_3, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 74251723934012196/202323928837*c_1001_3^7 + 6714271051695247989/6474365722784*c_1001_3^6 - 15332214435696948/202323928837*c_1001_3^5 - 121352442533255412/202323928837*c_1001_3^4 + 1279819360821104717/6474365722784*c_1001_3^3 + 150232491861052163/1618591430696*c_1001_3^2 - 52708371316413963/809295715348*c_1001_3 + 141552292004306745/6474365722784, c_0011_0 - 1, c_0011_10 + 5750677184/2771560669*c_1001_3^7 - 19702784255/5543121338*c_1001_3^6 - 13396187355/2771560669*c_1001_3^5 - 145693739/2771560669*c_1001_3^4 + 17678812345/5543121338*c_1001_3^3 + 4816976027/2771560669*c_1001_3^2 - 2107630463/2771560669*c_1001_3 + 1014980569/5543121338, c_0011_11 - 28075011200/2771560669*c_1001_3^7 + 75794576581/2771560669*c_1001_3^6 + 7441788986/2771560669*c_1001_3^5 - 51540020038/2771560669*c_1001_3^4 + 1556767060/2771560669*c_1001_3^3 + 6178896975/2771560669*c_1001_3^2 - 882390436/2771560669*c_1001_3 + 1148965305/2771560669, c_0011_13 - 57363362944/2771560669*c_1001_3^7 + 141468969621/2771560669*c_1001_3^6 + 33066561499/2771560669*c_1001_3^5 - 63927172977/2771560669*c_1001_3^4 - 204258174/2771560669*c_1001_3^3 + 15058141569/2771560669*c_1001_3^2 - 2393355130/2771560669*c_1001_3 - 264707250/2771560669, c_0011_6 + 2673718464/2771560669*c_1001_3^7 - 31668364663/5543121338*c_1001_3^6 + 21397185578/2771560669*c_1001_3^5 + 10110814457/2771560669*c_1001_3^4 - 35733428337/5543121338*c_1001_3^3 + 3111335225/2771560669*c_1001_3^2 + 2885991230/2771560669*c_1001_3 - 1821704849/5543121338, c_0101_0 - 11877696/2771560669*c_1001_3^7 + 31709617073/5543121338*c_1001_3^6 - 37435169028/2771560669*c_1001_3^5 - 11627811454/2771560669*c_1001_3^4 + 23873661165/5543121338*c_1001_3^3 + 3425235292/2771560669*c_1001_3^2 - 1538466890/2771560669*c_1001_3 - 450538949/5543121338, c_0101_13 - 1, c_0101_3 + 2259834240/2771560669*c_1001_3^7 - 210384623/2771560669*c_1001_3^6 - 21429861385/2771560669*c_1001_3^5 + 14364458581/2771560669*c_1001_3^4 + 12643656128/2771560669*c_1001_3^3 - 4315427191/2771560669*c_1001_3^2 + 40683230/2771560669*c_1001_3 - 168923468/2771560669, c_0101_7 - 32479378208/2771560669*c_1001_3^7 + 314985820741/11086242676*c_1001_3^6 + 24568610378/2771560669*c_1001_3^5 - 43442724509/2771560669*c_1001_3^4 + 21897366905/11086242676*c_1001_3^3 + 4862831509/2771560669*c_1001_3^2 - 8876898303/2771560669*c_1001_3 + 9445502421/11086242676, c_1001_0 - 5762554880/2771560669*c_1001_3^7 + 25706200664/2771560669*c_1001_3^6 - 24038981673/2771560669*c_1001_3^5 - 11482117715/2771560669*c_1001_3^4 + 3097424410/2771560669*c_1001_3^3 - 1391740735/2771560669*c_1001_3^2 + 569163573/2771560669*c_1001_3 + 2038800910/2771560669, c_1001_12 + 59623197184/2771560669*c_1001_3^7 - 141679354244/2771560669*c_1001_3^6 - 54496422884/2771560669*c_1001_3^5 + 78291631558/2771560669*c_1001_3^4 + 12847914302/2771560669*c_1001_3^3 - 19373568760/2771560669*c_1001_3^2 + 2434038360/2771560669*c_1001_3 + 95783782/2771560669, c_1001_2 + 2259834240/2771560669*c_1001_3^7 - 210384623/2771560669*c_1001_3^6 - 21429861385/2771560669*c_1001_3^5 + 14364458581/2771560669*c_1001_3^4 + 12643656128/2771560669*c_1001_3^3 - 4315427191/2771560669*c_1001_3^2 + 40683230/2771560669*c_1001_3 - 168923468/2771560669, c_1001_3^8 - 333/128*c_1001_3^7 - 29/64*c_1001_3^6 + 7/4*c_1001_3^5 - 21/128*c_1001_3^4 - 27/64*c_1001_3^3 + 1/8*c_1001_3^2 - 1/128*c_1001_3 - 1/64, c_1100_10 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.320 Total time: 0.530 seconds, Total memory usage: 32.09MB