Magma V2.19-8 Tue Aug 20 2013 16:14:34 on localhost [Seed = 3768679663] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s560 geometric_solution 4.99558338 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 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 1.008231827704 0.971234969559 3 4 3 0 0132 0132 2310 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 1 -1 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 0.772873406481 0.664698097091 4 3 0 3 2310 3201 0132 1023 0 0 0 0 0 0 0 0 1 0 0 -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 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 0.772873406481 0.664698097091 1 1 2 2 0132 3201 2310 1023 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 -1 1 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 0.630050704010 0.341279788278 5 1 2 5 0132 0132 3201 3201 0 0 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 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 0.672017286497 0.538574971552 4 4 5 5 0132 2310 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.642699891739 0.564933196803 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : 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_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_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' : negation(d['1']), 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 4935162692/294383991*c_0101_5^13 - 11498730557/53524362*c_0101_5^12 - 182538749869/196255994*c_0101_5^11 - 384131130635/294383991*c_0101_5^10 + 2490692196865/588767982*c_0101_5^9 + 4910710385705/196255994*c_0101_5^8 + 33347195865925/588767982*c_0101_5^7 + 20956824143897/294383991*c_0101_5^6 + 13720888246804/294383991*c_0101_5^5 + 1269044756464/294383991*c_0101_5^4 - 3249714136612/294383991*c_0101_5^3 - 2675370560425/588767982*c_0101_5^2 - 23194744/291181*c_0101_5 + 85477725089/588767982, c_0011_0 - 1, c_0011_1 + 51380895/381821*c_0101_5^13 + 535148173/381821*c_0101_5^12 + 1587794787/381821*c_0101_5^11 + 403513562/381821*c_0101_5^10 - 13348697062/381821*c_0101_5^9 - 4064065420/34711*c_0101_5^8 - 71894956256/381821*c_0101_5^7 - 62374597755/381821*c_0101_5^6 - 16900900009/381821*c_0101_5^5 + 11255202198/381821*c_0101_5^4 + 751526725/34711*c_0101_5^3 + 1041896468/381821*c_0101_5^2 - 1113884/1133*c_0101_5 - 85781457/381821, c_0101_0 + 5811280901/98127997*c_0101_5^13 + 61428572111/98127997*c_0101_5^12 + 188688466591/98127997*c_0101_5^11 + 70559456006/98127997*c_0101_5^10 - 1510908233817/98127997*c_0101_5^9 - 480968875548/8920727*c_0101_5^8 - 8840516127301/98127997*c_0101_5^7 - 8083394944189/98127997*c_0101_5^6 - 2662043664315/98127997*c_0101_5^5 + 1234372806952/98127997*c_0101_5^4 + 104903147471/8920727*c_0101_5^3 + 189779914636/98127997*c_0101_5^2 - 149297699/291181*c_0101_5 - 13926346342/98127997, c_0101_1 - 45362117440/98127997*c_0101_5^13 - 477098372337/98127997*c_0101_5^12 - 1448254855932/98127997*c_0101_5^11 - 481031945390/98127997*c_0101_5^10 + 11798514377321/98127997*c_0101_5^9 + 3697083419700/8920727*c_0101_5^8 + 67029821746253/98127997*c_0101_5^7 + 60135070009829/98127997*c_0101_5^6 + 18519446154600/98127997*c_0101_5^5 - 9859550837419/98127997*c_0101_5^4 - 759172480890/8920727*c_0101_5^3 - 1240899409674/98127997*c_0101_5^2 + 1095414048/291181*c_0101_5 + 94379411334/98127997, c_0101_4 + 68198728/381821*c_0101_5^13 + 712028952/381821*c_0101_5^12 + 2124622312/381821*c_0101_5^11 + 580934324/381821*c_0101_5^10 - 17725041127/381821*c_0101_5^9 - 5434601269/34711*c_0101_5^8 - 96721509715/381821*c_0101_5^7 - 84607164204/381821*c_0101_5^6 - 23691801068/381821*c_0101_5^5 + 14947770953/381821*c_0101_5^4 + 1031267829/34711*c_0101_5^3 + 1485393681/381821*c_0101_5^2 - 1519634/1133*c_0101_5 - 119579623/381821, c_0101_5^14 + 11*c_0101_5^13 + 37*c_0101_5^12 + 26*c_0101_5^11 - 255*c_0101_5^10 - 1022*c_0101_5^9 - 1910*c_0101_5^8 - 2038*c_0101_5^7 - 1047*c_0101_5^6 + 21*c_0101_5^5 + 289*c_0101_5^4 + 116*c_0101_5^3 + 5*c_0101_5^2 - 6*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB