Magma V2.19-8 Tue Aug 20 2013 17:56:03 on localhost [Seed = 4240263938] Type ? for help. Type -D to quit. Loading file "10_61__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_61 geometric_solution 8.45858027 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 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 1 0 -1 0 0 0 0 -10 -1 0 11 1 10 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.938105228783 0.574129316781 0 5 6 5 0132 0132 0132 1230 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 -1 1 0 0 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.495177275979 1.583502913885 3 0 7 6 0321 0132 0132 0321 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 -10 0 10 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599082595655 0.282935515568 2 7 4 0 0321 0132 0213 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 0 0 0 1 0 -1 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 0.961124033484 1.247139170529 8 3 0 5 0132 0213 0132 3012 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 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.224492287930 0.474618091050 1 1 4 9 3012 0132 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 0 0 -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 0.182752671852 0.573249528254 7 2 8 1 0132 0321 0213 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 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.242827150551 0.758633682318 6 3 9 2 0132 0132 0213 0132 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 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.469577687785 0.968731411069 4 6 9 9 0132 0213 0132 1230 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 -0.081056159579 0.760175660744 8 7 5 8 3012 0213 0132 0132 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 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.495177275979 1.583502913885 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_6'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_8'], 'c_1100_8' : d['c_0101_8'], 'c_1100_5' : d['c_0101_8'], 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : d['c_1001_6'], 'c_1100_6' : d['c_0101_9'], 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : d['c_1001_6'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_6'], 'c_1010_8' : d['c_0101_9'], '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' : 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_9'], 'c_0011_8' : negation(d['c_0011_4']), '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_3'], '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_0101_7' : d['c_0011_9'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_9'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0011_9'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 'c_0110_9' : d['c_0101_8'], 'c_0110_8' : d['c_0011_9'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0011_9'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_9'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : negation(d['c_0011_4']), 'c_0110_6' : d['c_0011_9']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_9, c_0101_5, c_0101_8, c_0101_9, c_1001_0, c_1001_2, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 91265/40012*c_1001_6^8 + 101211/40012*c_1001_6^7 - 40275/10003*c_1001_6^6 - 202659/20006*c_1001_6^5 + 1092071/40012*c_1001_6^4 - 15129/20006*c_1001_6^3 + 17541/40012*c_1001_6^2 - 2461651/40012*c_1001_6 + 1445441/40012, c_0011_0 - 1, c_0011_3 - 193/2858*c_1001_6^8 + 43/1429*c_1001_6^7 - 486/1429*c_1001_6^6 + 60/1429*c_1001_6^5 - 1665/2858*c_1001_6^4 + 2541/2858*c_1001_6^3 - 120/1429*c_1001_6^2 + 743/2858*c_1001_6 - 1704/1429, c_0011_4 + 161/2858*c_1001_6^8 + 90/1429*c_1001_6^7 + 13/1429*c_1001_6^6 + 757/1429*c_1001_6^5 + 71/2858*c_1001_6^4 - 3023/2858*c_1001_6^3 - 85/1429*c_1001_6^2 + 2253/2858*c_1001_6 + 1651/1429, c_0011_9 + 122/1429*c_1001_6^8 - 121/1429*c_1001_6^7 + 570/1429*c_1001_6^6 - 335/1429*c_1001_6^5 + 897/1429*c_1001_6^4 - 2628/1429*c_1001_6^3 + 670/1429*c_1001_6^2 + 367/1429*c_1001_6 + 2369/1429, c_0101_5 - 1, c_0101_8 + 122/1429*c_1001_6^8 - 121/1429*c_1001_6^7 + 570/1429*c_1001_6^6 - 335/1429*c_1001_6^5 + 897/1429*c_1001_6^4 - 2628/1429*c_1001_6^3 + 670/1429*c_1001_6^2 + 367/1429*c_1001_6 + 2369/1429, c_0101_9 - 161/2858*c_1001_6^8 - 90/1429*c_1001_6^7 - 13/1429*c_1001_6^6 - 757/1429*c_1001_6^5 - 71/2858*c_1001_6^4 + 3023/2858*c_1001_6^3 + 85/1429*c_1001_6^2 - 5111/2858*c_1001_6 - 1651/1429, c_1001_0 + 83/2858*c_1001_6^8 - 211/1429*c_1001_6^7 + 557/1429*c_1001_6^6 - 1092/1429*c_1001_6^5 + 1723/2858*c_1001_6^4 - 2233/2858*c_1001_6^3 + 755/1429*c_1001_6^2 - 4377/2858*c_1001_6 + 718/1429, c_1001_2 - 95/1429*c_1001_6^8 + 329/2858*c_1001_6^7 - 397/1429*c_1001_6^6 + 296/1429*c_1001_6^5 + 180/1429*c_1001_6^4 + 1961/2858*c_1001_6^3 + 245/2858*c_1001_6^2 - 930/1429*c_1001_6 + 621/2858, c_1001_6^9 - 2*c_1001_6^8 + 5*c_1001_6^7 - 4*c_1001_6^6 + c_1001_6^5 - 11*c_1001_6^4 + 13*c_1001_6^3 + 4*c_1001_6^2 + 4*c_1001_6 - 7 ], Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_9, c_0101_5, c_0101_8, c_0101_9, c_1001_0, c_1001_2, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 140983338770633/452420933058*c_1001_6^9 - 399650792779763/1357262799174*c_1001_6^8 - 132356260374322/75403488843*c_1001_6^7 - 202313421544453/1357262799174*c_1001_6^6 + 1000055544439070/226210466529*c_1001_6^5 + 3309240216368807/1357262799174*c_1001_6^4 + 8159629806281285/1357262799174*c_1001_6^3 + 16001136130660121/1357262799174*c_1001_6^2 + 218491714891210/75403488843*c_1001_6 + 3264545795407997/1357262799174, c_0011_0 - 1, c_0011_3 + 1147269/25621301*c_1001_6^9 + 2437069/25621301*c_1001_6^8 + 8203289/25621301*c_1001_6^7 + 17549793/51242602*c_1001_6^6 - 28697659/51242602*c_1001_6^5 - 25670649/25621301*c_1001_6^4 - 94076315/51242602*c_1001_6^3 - 137891911/51242602*c_1001_6^2 - 127122957/51242602*c_1001_6 - 83959415/51242602, c_0011_4 - 5323053/25621301*c_1001_6^9 - 13041965/51242602*c_1001_6^8 - 31379321/25621301*c_1001_6^7 - 11835683/25621301*c_1001_6^6 + 74680981/25621301*c_1001_6^5 + 61840731/25621301*c_1001_6^4 + 240766121/51242602*c_1001_6^3 + 501784017/51242602*c_1001_6^2 + 107980281/25621301*c_1001_6 + 79198313/51242602, c_0011_9 - 5264145/51242602*c_1001_6^9 - 6058377/51242602*c_1001_6^8 - 33851027/51242602*c_1001_6^7 - 5089095/25621301*c_1001_6^6 + 56395183/51242602*c_1001_6^5 + 33553699/25621301*c_1001_6^4 + 75552562/25621301*c_1001_6^3 + 239352137/51242602*c_1001_6^2 + 133600863/51242602*c_1001_6 + 41314486/25621301, c_0101_5 + 3272901/25621301*c_1001_6^9 + 5330426/25621301*c_1001_6^8 + 19842604/25621301*c_1001_6^7 + 27282071/51242602*c_1001_6^6 - 50031202/25621301*c_1001_6^5 - 55843394/25621301*c_1001_6^4 - 147390721/51242602*c_1001_6^3 - 150038940/25621301*c_1001_6^2 - 189249221/51242602*c_1001_6 - 6360015/25621301, c_0101_8 + 4718052/25621301*c_1001_6^9 + 14162013/51242602*c_1001_6^8 + 27814603/25621301*c_1001_6^7 + 15025936/25621301*c_1001_6^6 - 144077837/51242602*c_1001_6^5 - 81128680/25621301*c_1001_6^4 - 172816047/51242602*c_1001_6^3 - 226927669/25621301*c_1001_6^2 - 125847043/25621301*c_1001_6 - 12801294/25621301, c_0101_9 + 1187451/51242602*c_1001_6^9 + 2089722/25621301*c_1001_6^8 + 3911523/25621301*c_1001_6^7 + 7196278/25621301*c_1001_6^6 - 25353283/51242602*c_1001_6^5 - 62915773/51242602*c_1001_6^4 - 13632959/51242602*c_1001_6^3 - 81032687/51242602*c_1001_6^2 - 103358555/51242602*c_1001_6 + 16925501/51242602, c_1001_0 - 1797057/51242602*c_1001_6^9 + 127626/25621301*c_1001_6^8 - 6132087/51242602*c_1001_6^7 + 4455715/25621301*c_1001_6^6 + 18488044/25621301*c_1001_6^5 - 15340792/25621301*c_1001_6^4 - 5554995/51242602*c_1001_6^3 + 52437827/51242602*c_1001_6^2 - 88623887/51242602*c_1001_6 - 11587691/25621301, c_1001_2 - 6102321/51242602*c_1001_6^9 - 7099937/51242602*c_1001_6^8 - 35840083/51242602*c_1001_6^7 - 4327503/25621301*c_1001_6^6 + 86482067/51242602*c_1001_6^5 + 39038092/25621301*c_1001_6^4 + 60860106/25621301*c_1001_6^3 + 222944599/51242602*c_1001_6^2 + 77145451/51242602*c_1001_6 + 608003/25621301, c_1001_6^10 + 4/3*c_1001_6^9 + 6*c_1001_6^8 + 8/3*c_1001_6^7 - 14*c_1001_6^6 - 40/3*c_1001_6^5 - 67/3*c_1001_6^4 - 136/3*c_1001_6^3 - 24*c_1001_6^2 - 34/3*c_1001_6 - 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB