Magma V2.19-8 Tue Aug 20 2013 23:44:12 on localhost [Seed = 1460744884] Type ? for help. Type -D to quit. Loading file "L14n24290__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24290 geometric_solution 10.71242344 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 1 -1 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 -2 1 1 1 0 -1 0 -5 1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.779633810819 0.733090198644 0 5 7 6 0132 0132 0132 0132 0 1 1 1 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 1 0 -1 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.465592742607 0.826718945611 3 0 8 5 2031 0132 0132 0132 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 0 0 0 2 0 -2 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 0.460488663899 0.581308791892 9 7 2 0 0132 3012 1302 0132 0 1 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 0 0 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 0.319245815087 0.640113619651 9 5 0 10 1302 1302 0132 0132 0 1 0 1 0 0 0 0 0 0 0 0 1 -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 -1 1 0 0 0 0 -2 2 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.629962537254 0.625359468813 8 1 2 4 1023 0132 0132 2031 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.729867261809 0.880445807976 10 7 1 10 0132 3201 0132 3201 0 1 0 1 0 1 0 -1 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 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 0.032695196376 0.949370747377 3 8 6 1 1230 1230 2310 0132 0 1 1 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 1 -1 0 -5 0 5 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.200481356118 0.793676647225 9 5 7 2 3012 1023 3012 0132 0 0 1 1 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 0 0 0 0 0 -4 -1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.729867261809 0.880445807976 3 4 10 8 0132 2031 0132 1230 0 1 1 1 0 -1 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 2 -2 0 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551472387451 0.853118411811 6 6 4 9 0132 2310 0132 0132 0 1 1 0 0 1 0 -1 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 2 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 0.963767568749 1.052081472180 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : negation(d['c_0101_7']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_7']), 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : negation(d['c_0011_7']), 'c_1010_10' : negation(d['c_0101_10']), 's_0_10' : d['1'], 's_3_10' : 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' : 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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_2'], 'c_1100_8' : negation(d['c_1001_10']), 'c_1100_5' : negation(d['c_1001_10']), 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_1001_10']), 'c_1100_10' : d['c_0101_2'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : negation(d['c_1001_10']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : negation(d['c_0101_7']), 'c_1010_2' : negation(d['c_0101_7']), 'c_1010_1' : negation(d['c_0101_7']), 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : d['c_0110_5'], 's_3_1' : d['1'], 's_3_0' : 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' : d['1'], 's_1_3' : 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' : 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' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), '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_10' : d['c_0101_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_7']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_4'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_0'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_7']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : d['c_0101_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_3, c_0011_4, c_0011_7, c_0101_0, c_0101_10, c_0101_2, c_0101_7, c_0110_5, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 146949560831511/16719522500438*c_1001_10^7 - 7655761134876555/66878090001752*c_1001_10^6 + 21897638412753449/66878090001752*c_1001_10^5 - 40735040949187651/100317135002628*c_1001_10^4 + 64356915674606293/200634270005256*c_1001_10^3 - 9951612139517473/100317135002628*c_1001_10^2 + 1076505269356557/66878090001752*c_1001_10 - 420142628058527/200634270005256, c_0011_0 - 1, c_0011_10 + 160955363331/13154620378*c_1001_10^7 - 927106761753/6577310189*c_1001_10^6 + 1647874263619/6577310189*c_1001_10^5 - 1714894101364/6577310189*c_1001_10^4 + 868936181638/6577310189*c_1001_10^3 - 98673076326/6577310189*c_1001_10^2 + 9082114505/13154620378*c_1001_10 + 4380337249/6577310189, c_0011_3 - 59049005184/6577310189*c_1001_10^7 + 705583644921/6577310189*c_1001_10^6 - 3012347052535/13154620378*c_1001_10^5 + 3660541287755/13154620378*c_1001_10^4 - 2420066427251/13154620378*c_1001_10^3 + 719778853725/13154620378*c_1001_10^2 - 65078204939/13154620378*c_1001_10 - 10295295407/13154620378, c_0011_4 - 71386267140/6577310189*c_1001_10^7 + 836994711681/6577310189*c_1001_10^6 - 1629008728837/6577310189*c_1001_10^5 + 1805708823941/6577310189*c_1001_10^4 - 1043231781946/6577310189*c_1001_10^3 + 220084357058/6577310189*c_1001_10^2 - 7672308724/6577310189*c_1001_10 - 3339789652/6577310189, c_0011_7 + 72411606288/6577310189*c_1001_10^7 - 830901264939/6577310189*c_1001_10^6 + 1447765209041/6577310189*c_1001_10^5 - 1505708284680/6577310189*c_1001_10^4 + 737335491872/6577310189*c_1001_10^3 - 93740075175/6577310189*c_1001_10^2 + 9806063753/6577310189*c_1001_10 + 6294198119/6577310189, c_0101_0 - 40241873736/6577310189*c_1001_10^7 + 457329482631/6577310189*c_1001_10^6 - 1513019845679/13154620378*c_1001_10^5 + 779104012643/6577310189*c_1001_10^4 - 714393653129/13154620378*c_1001_10^3 + 18086589517/6577310189*c_1001_10^2 + 31705360697/13154620378*c_1001_10 - 13328133028/6577310189, c_0101_10 + 9147230937/6577310189*c_1001_10^7 - 251300885661/13154620378*c_1001_10^6 + 420142681663/6577310189*c_1001_10^5 - 1201166900865/13154620378*c_1001_10^4 + 502892266049/6577310189*c_1001_10^3 - 404974978287/13154620378*c_1001_10^2 + 18729470010/6577310189*c_1001_10 + 1748465410/6577310189, c_0101_2 - 16617872520/6577310189*c_1001_10^7 + 187416097281/6577310189*c_1001_10^6 - 298151112241/6577310189*c_1001_10^5 + 320219445887/6577310189*c_1001_10^4 - 178679767008/6577310189*c_1001_10^3 + 66321943457/6577310189*c_1001_10^2 - 34328018273/6577310189*c_1001_10 + 1682438040/6577310189, c_0101_7 + 1, c_0110_5 - 15592533372/6577310189*c_1001_10^7 + 193509544023/6577310189*c_1001_10^6 - 479394632037/6577310189*c_1001_10^5 + 620219985148/6577310189*c_1001_10^4 - 484576057082/6577310189*c_1001_10^3 + 192666225340/6577310189*c_1001_10^2 - 32194263244/6577310189*c_1001_10 - 1940463682/6577310189, c_1001_10^8 - 104/9*c_1001_10^7 + 1694/81*c_1001_10^6 - 1808/81*c_1001_10^5 + 947/81*c_1001_10^4 - 16/9*c_1001_10^3 + 2/27*c_1001_10^2 + 8/81*c_1001_10 + 1/81 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB