Magma V2.19-8 Wed Aug 21 2013 00:56:57 on localhost [Seed = 3819305271] Type ? for help. Type -D to quit. Loading file "L13n3175__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3175 geometric_solution 11.58881806 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 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 0 0 0 0 -1 0 1 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 0.500942389399 0.739943616770 0 5 6 3 0132 0132 0132 0132 1 1 0 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 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 0.812901266395 0.885472727753 3 0 5 7 0321 0132 1302 0132 1 0 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 0 0 0 0 0 0 0 1 0 -1 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 0.481078065788 0.277414352263 2 8 1 0 0321 0132 0132 0132 1 1 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 1 0 0 -1 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.295244403020 0.790238703532 9 10 0 6 0132 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 -1 -1 2 -1 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 0.175841125690 0.850611872330 2 1 9 10 2031 0132 0213 1023 1 1 1 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 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.935226046852 0.313874787001 11 7 4 1 0132 2103 0132 0132 1 1 1 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 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 0 0 0 0 0.479166077275 1.176784646933 12 6 2 10 0132 2103 0132 2310 1 0 1 0 0 0 0 0 -1 0 1 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 1 -1 -1 0 1 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.220180708457 1.095085059847 12 3 11 9 3012 0132 3012 0132 1 1 0 0 0 0 0 0 0 0 -1 1 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 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.062704824753 0.763025444299 4 5 8 11 0132 0213 0132 0132 1 1 1 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 0 1 -2 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.359136712594 0.751506484768 7 4 12 5 3201 0132 3012 1023 1 1 1 0 0 -1 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 0 0 0 0 0 1 -1 0 -2 0 2 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 0.616710276106 0.360106932835 6 8 9 12 0132 1230 0132 3012 1 1 0 1 0 1 0 -1 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 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 0.372614164941 0.926713637592 7 10 11 8 0132 1230 1230 1230 1 0 0 1 0 1 -1 0 1 0 0 -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 -2 2 0 1 0 0 -1 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.174982141015 1.410797280950 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : d['c_1001_11'], 'c_1001_5' : d['c_1001_3'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : negation(d['c_0011_12']), 'c_1001_1' : d['c_0110_10'], 'c_1001_0' : negation(d['c_0011_11']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_1001_3'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : d['c_0110_5'], 's_3_11' : d['1'], 's_3_10' : 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_0101_1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1001_11']), 'c_1100_8' : negation(d['c_1001_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_11'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_10'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1001_11']), 'c_1100_10' : negation(d['c_1001_11']), 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0110_10']), 'c_1010_6' : d['c_0110_10'], 'c_1010_5' : d['c_0110_10'], 'c_1010_4' : negation(d['c_0011_12']), 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : negation(d['c_0011_11']), 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : d['c_1001_3'], '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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_6'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['1']), 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_11']), '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_6'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0011_3']), 'c_0101_12' : negation(d['c_0101_10']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_6'], 'c_0101_8' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_6'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : negation(d['c_0101_10']), 'c_0110_6' : d['c_0101_1']})} 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_3, c_0101_1, c_0101_10, c_0101_6, c_0110_10, c_0110_5, c_1001_11, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 1079/200*c_1100_0 + 6109/1800, c_0011_0 - 1, c_0011_10 + 3/4*c_1100_0 + 5/4, c_0011_11 - 3/2*c_1100_0 - 1/2, c_0011_12 + 3/4*c_1100_0 + 1/4, c_0011_3 + 9/4*c_1100_0 - 1/4, c_0101_1 - 1, c_0101_10 + 3/4*c_1100_0 + 1/4, c_0101_6 + 3/2*c_1100_0 - 1/2, c_0110_10 - 1/4*c_1100_0 - 3/4, c_0110_5 - 1/2*c_1100_0 - 1/2, c_1001_11 + 3/4*c_1100_0 + 1/4, c_1001_3 - 3/4*c_1100_0 + 3/4, c_1100_0^2 + 2/9*c_1100_0 + 5/9 ], 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_3, c_0101_1, c_0101_10, c_0101_6, c_0110_10, c_0110_5, c_1001_11, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 100285318440086/531464583171411*c_1100_0^6 - 77187181903486/177154861057137*c_1100_0^5 - 92666737693958/17144018811981*c_1100_0^4 - 28995504792005/17144018811981*c_1100_0^3 - 764653158802018/531464583171411*c_1100_0^2 - 1861026247493786/531464583171411*c_1100_0 - 4257218750079688/531464583171411, c_0011_0 - 1, c_0011_10 + 497969/92117171*c_1100_0^6 + 3115061/92117171*c_1100_0^5 + 19717686/92117171*c_1100_0^4 + 64009509/92117171*c_1100_0^3 + 54629581/92117171*c_1100_0^2 + 51300899/92117171*c_1100_0 - 25899265/92117171, c_0011_11 - 107139/92117171*c_1100_0^6 - 286366/92117171*c_1100_0^5 - 5859444/92117171*c_1100_0^4 - 10648841/92117171*c_1100_0^3 - 77481319/92117171*c_1100_0^2 - 74110786/92117171*c_1100_0 - 36521971/92117171, c_0011_12 + 669098/92117171*c_1100_0^6 + 263126/92117171*c_1100_0^5 + 15406070/92117171*c_1100_0^4 - 34160858/92117171*c_1100_0^3 - 34805461/92117171*c_1100_0^2 - 64893035/92117171*c_1100_0 - 104699106/92117171, c_0011_3 - 416026/92117171*c_1100_0^6 - 2134265/92117171*c_1100_0^5 - 15870740/92117171*c_1100_0^4 - 43807256/92117171*c_1100_0^3 - 57534256/92117171*c_1100_0^2 - 115931072/92117171*c_1100_0 - 38763752/92117171, c_0101_1 - 1, c_0101_10 - 589966/92117171*c_1100_0^6 - 1420406/92117171*c_1100_0^5 - 15344616/92117171*c_1100_0^4 - 1473411/92117171*c_1100_0^3 + 54016009/92117171*c_1100_0^2 + 53148167/92117171*c_1100_0 + 47071343/92117171, c_0101_6 - 81943/92117171*c_1100_0^6 - 980796/92117171*c_1100_0^5 - 3846946/92117171*c_1100_0^4 - 20202253/92117171*c_1100_0^3 + 2904675/92117171*c_1100_0^2 + 64630173/92117171*c_1100_0 + 64663017/92117171, c_0110_10 - 779048/92117171*c_1100_0^6 - 2687568/92117171*c_1100_0^5 - 25051006/92117171*c_1100_0^4 - 32324505/92117171*c_1100_0^3 - 20560635/92117171*c_1100_0^2 - 48449617/92117171*c_1100_0 + 75212389/92117171, c_0110_5 - 107139/92117171*c_1100_0^6 - 286366/92117171*c_1100_0^5 - 5859444/92117171*c_1100_0^4 - 10648841/92117171*c_1100_0^3 - 77481319/92117171*c_1100_0^2 + 18006385/92117171*c_1100_0 - 36521971/92117171, c_1001_11 - 94541/92117171*c_1100_0^6 - 633581/92117171*c_1100_0^5 - 4853195/92117171*c_1100_0^4 - 15425547/92117171*c_1100_0^3 - 37288322/92117171*c_1100_0^2 - 50798892/92117171*c_1100_0 + 14070523/92117171, c_1001_3 + 779048/92117171*c_1100_0^6 + 2687568/92117171*c_1100_0^5 + 25051006/92117171*c_1100_0^4 + 32324505/92117171*c_1100_0^3 + 20560635/92117171*c_1100_0^2 - 43667554/92117171*c_1100_0 - 75212389/92117171, c_1100_0^7 + 3*c_1100_0^6 + 31*c_1100_0^5 + 31*c_1100_0^4 + 35*c_1100_0^3 + 43*c_1100_0^2 + 20*c_1100_0 + 93 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.330 seconds, Total memory usage: 32.09MB