Magma V2.19-8 Tue Aug 20 2013 23:39:28 on localhost [Seed = 391213906] Type ? for help. Type -D to quit. Loading file "K13n5016__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n5016 geometric_solution 8.85963727 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 0 0 0 0 -1 13 0 -12 -13 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.097622580208 0.563280296714 0 5 5 6 0132 0132 1302 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 0 0 0 0 0 0 13 -13 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.766031727480 0.490576717150 7 0 5 8 0132 0132 1023 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 1 0 -1 0 0 0 0 1 -1 0 0 0 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.053752852619 0.848564571304 9 8 7 0 0132 1023 1023 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 12 0 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.822447049628 0.364764683587 10 6 0 5 0132 0321 0132 2103 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 0 0 0 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.278857229751 0.370077584885 1 1 2 4 2031 0132 1023 2103 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 1 0 0 -1 0 13 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.074248475847 0.592863359732 9 7 1 4 2103 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.424322501600 0.463580742320 2 10 3 6 0132 0321 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.147441918982 0.200356552576 3 9 2 10 1023 2310 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.081087547041 1.136253505847 3 10 6 8 0132 0132 2103 3201 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 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560501772455 0.461925033942 4 9 8 7 0132 0132 2031 0321 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 1 -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 1.078835568578 2.216359198712 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_10'], 'c_1001_10' : negation(d['c_0110_8']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : d['c_0101_3'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0110_5'], 'c_1001_0' : d['c_0110_8'], 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : d['c_0101_5'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0110_8'], 'c_1010_10' : d['c_0011_6'], 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], '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_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : negation(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_0011_10']), 'c_1100_8' : d['c_0101_10'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : negation(d['c_0110_5']), 'c_1100_7' : d['c_0110_5'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : d['c_0101_10'], 'c_1100_10' : d['c_0101_3'], 'c_1010_7' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0110_5']), 'c_1010_5' : d['c_0110_5'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : d['c_0110_8'], 'c_1010_2' : d['c_0110_8'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0101_5'], 'c_1010_9' : negation(d['c_0110_8']), 'c_1010_8' : negation(d['c_0101_3']), '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' : negation(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_10']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], '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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_7'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_6, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_5, c_0101_7, c_0110_5, c_0110_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 33534456622452/1635507575*c_0110_8^5 + 2622417039616087/16355075750*c_0110_8^4 - 2723310525275019/16355075750*c_0110_8^3 + 4357314957034888/8177537875*c_0110_8^2 - 2669153016669886/8177537875*c_0110_8 + 7009735027259069/16355075750, c_0011_0 - 1, c_0011_10 + 97410/2844361*c_0110_8^5 - 539391/2844361*c_0110_8^4 - 1104551/2844361*c_0110_8^3 + 332565/2844361*c_0110_8^2 - 4545715/2844361*c_0110_8 + 1683690/2844361, c_0011_6 - 449235/2844361*c_0110_8^5 + 3777466/2844361*c_0110_8^4 - 5421062/2844361*c_0110_8^3 + 11454242/2844361*c_0110_8^2 - 11359053/2844361*c_0110_8 + 7240112/2844361, c_0101_0 - 661615/2844361*c_0110_8^5 + 4813324/2844361*c_0110_8^4 - 2168091/2844361*c_0110_8^3 + 11983588/2844361*c_0110_8^2 - 3945054/2844361*c_0110_8 + 5623427/2844361, c_0101_10 + 224645/2844361*c_0110_8^5 - 1443222/2844361*c_0110_8^4 - 1123945/2844361*c_0110_8^3 - 1360403/2844361*c_0110_8^2 - 478334/2844361*c_0110_8 - 173848/2844361, c_0101_2 + 114970/2844361*c_0110_8^5 - 496467/2844361*c_0110_8^4 - 2148420/2844361*c_0110_8^3 - 861911/2844361*c_0110_8^2 - 2868284/2844361*c_0110_8 - 67005/2844361, c_0101_3 + 173740/2844361*c_0110_8^5 - 1259894/2844361*c_0110_8^4 + 417603/2844361*c_0110_8^3 - 2429903/2844361*c_0110_8^2 + 926730/2844361*c_0110_8 - 809316/2844361, c_0101_5 - 156180/2844361*c_0110_8^5 + 1302818/2844361*c_0110_8^4 - 1461472/2844361*c_0110_8^3 + 1235427/2844361*c_0110_8^2 - 2093660/2844361*c_0110_8 - 941379/2844361, c_0101_7 - 109675/2844361*c_0110_8^5 + 946755/2844361*c_0110_8^4 - 1024475/2844361*c_0110_8^3 + 498492/2844361*c_0110_8^2 + 454411/2844361*c_0110_8 + 106843/2844361, c_0110_5 - 76330/2844361*c_0110_8^5 + 720503/2844361*c_0110_8^4 - 1522154/2844361*c_0110_8^3 + 2762468/2844361*c_0110_8^2 - 2628084/2844361*c_0110_8 - 351355/2844361, c_0110_8^6 - 38/5*c_0110_8^5 + 32/5*c_0110_8^4 - 121/5*c_0110_8^3 + 51/5*c_0110_8^2 - 87/5*c_0110_8 - 23/5 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_6, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_5, c_0101_7, c_0110_5, c_0110_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 180653/14120*c_0110_8^9 + 1797/706*c_0110_8^8 + 80583/3530*c_0110_8^7 - 894469/14120*c_0110_8^6 - 502501/7060*c_0110_8^5 - 1132457/7060*c_0110_8^4 - 930527/14120*c_0110_8^3 - 480393/3530*c_0110_8^2 - 597107/7060*c_0110_8 - 136371/2824, c_0011_0 - 1, c_0011_10 + c_0110_8, c_0011_6 + 403/1412*c_0110_8^9 - 163/706*c_0110_8^8 + 136/353*c_0110_8^7 - 2661/1412*c_0110_8^6 - 43/353*c_0110_8^5 - 611/353*c_0110_8^4 + 3265/1412*c_0110_8^3 - 594/353*c_0110_8^2 + 166/353*c_0110_8 + 183/1412, c_0101_0 + 439/1412*c_0110_8^9 - 119/353*c_0110_8^8 + 369/706*c_0110_8^7 - 2939/1412*c_0110_8^6 + 39/353*c_0110_8^5 - 472/353*c_0110_8^4 + 2933/1412*c_0110_8^3 - 1295/706*c_0110_8^2 + 331/706*c_0110_8 + 1049/1412, c_0101_10 - 439/1412*c_0110_8^9 + 119/353*c_0110_8^8 - 369/706*c_0110_8^7 + 2939/1412*c_0110_8^6 - 39/353*c_0110_8^5 + 472/353*c_0110_8^4 - 2933/1412*c_0110_8^3 + 1295/706*c_0110_8^2 - 331/706*c_0110_8 - 1049/1412, c_0101_2 + 545/1412*c_0110_8^9 - 200/353*c_0110_8^8 + 635/706*c_0110_8^7 - 4189/1412*c_0110_8^6 + 555/353*c_0110_8^5 - 906/353*c_0110_8^4 + 5407/1412*c_0110_8^3 - 3277/706*c_0110_8^2 + 1289/706*c_0110_8 - 441/1412, c_0101_3 + 361/1412*c_0110_8^9 - 126/353*c_0110_8^8 + 453/706*c_0110_8^7 - 2925/1412*c_0110_8^6 + 332/353*c_0110_8^5 - 832/353*c_0110_8^4 + 4123/1412*c_0110_8^3 - 1475/706*c_0110_8^2 + 1451/706*c_0110_8 + 467/1412, c_0101_5 + 53/706*c_0110_8^9 - 81/353*c_0110_8^8 + 133/353*c_0110_8^7 - 625/706*c_0110_8^6 + 516/353*c_0110_8^5 - 434/353*c_0110_8^4 + 1237/706*c_0110_8^3 - 991/353*c_0110_8^2 + 479/353*c_0110_8 - 745/706, c_0101_7 + 403/1412*c_0110_8^9 - 163/706*c_0110_8^8 + 136/353*c_0110_8^7 - 2661/1412*c_0110_8^6 - 43/353*c_0110_8^5 - 611/353*c_0110_8^4 + 3265/1412*c_0110_8^3 - 594/353*c_0110_8^2 + 166/353*c_0110_8 + 183/1412, c_0110_5 + 1, c_0110_8^10 - c_0110_8^9 + 2*c_0110_8^8 - 7*c_0110_8^7 + c_0110_8^6 - 8*c_0110_8^5 + 7*c_0110_8^4 - 9*c_0110_8^3 + 4*c_0110_8^2 + c_0110_8 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.440 Total time: 0.660 seconds, Total memory usage: 32.09MB