Magma V2.19-8 Tue Aug 20 2013 16:18:17 on localhost [Seed = 357861409] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2489 geometric_solution 5.81761470 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 1.426336455183 0.612606875651 0 2 3 0 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.408793668813 0.604759922932 3 1 4 5 2310 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 -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 -0.165572462822 0.866829833784 5 6 2 1 3201 0132 3201 0132 0 0 0 0 0 0 0 0 1 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 0 -1 0 1 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 -0.165572462822 0.866829833784 6 5 6 2 2103 2103 3201 0132 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 -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 1.161887654741 1.325898931480 6 4 2 3 3012 2103 0132 2310 0 0 0 0 0 0 0 0 0 0 -1 1 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 0 0 0 1 0 -1 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 0.212597225570 1.113020936949 4 3 4 5 2310 0132 2103 1230 0 0 0 0 0 0 0 0 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 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 0.554302576477 0.325394405853 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : 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_6' : negation(d['c_0101_2']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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' : d['c_0011_0'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 86809808/209*c_0101_2^18 + 2454516896/209*c_0101_2^16 + 72876048/19*c_0101_2^14 - 10073128808/209*c_0101_2^12 - 18935913616/209*c_0101_2^10 - 16262771780/209*c_0101_2^8 - 7859969408/209*c_0101_2^6 - 2181352336/209*c_0101_2^4 - 323067498/209*c_0101_2^2 - 19742838/209, c_0011_0 - 1, c_0011_3 - 182960*c_0101_2^18 + 5172416*c_0101_2^16 + 1709920*c_0101_2^14 - 21229480*c_0101_2^12 - 39992224*c_0101_2^10 - 34406732*c_0101_2^8 - 16661000*c_0101_2^6 - 4634288*c_0101_2^4 - 688136*c_0101_2^2 - 42172, c_0011_4 - 212976*c_0101_2^19 + 6023008*c_0101_2^17 + 1932864*c_0101_2^15 - 24715416*c_0101_2^13 - 46318288*c_0101_2^11 - 39674908*c_0101_2^9 - 19118404*c_0101_2^7 - 5286736*c_0101_2^5 - 779602*c_0101_2^3 - 47403*c_0101_2, c_0011_5 - 31520*c_0101_2^18 + 891792*c_0101_2^16 + 274640*c_0101_2^14 - 3657960*c_0101_2^12 - 6808608*c_0101_2^10 - 5799124*c_0101_2^8 - 2777316*c_0101_2^6 - 762542*c_0101_2^4 - 111558*c_0101_2^2 - 6727, c_0101_0 - 589888*c_0101_2^19 + 16672400*c_0101_2^17 + 5632192*c_0101_2^15 - 68440592*c_0101_2^13 - 129426392*c_0101_2^11 - 111710616*c_0101_2^9 - 54288072*c_0101_2^7 - 15164688*c_0101_2^5 - 2263004*c_0101_2^3 - 139465*c_0101_2, c_0101_1 - 461776*c_0101_2^19 + 13053008*c_0101_2^17 + 4365504*c_0101_2^15 - 53578856*c_0101_2^13 - 101140232*c_0101_2^11 - 87165300*c_0101_2^9 - 42289648*c_0101_2^7 - 11789864*c_0101_2^5 - 1755350*c_0101_2^3 - 107901*c_0101_2, c_0101_2^20 - 28*c_0101_2^18 - 17*c_0101_2^16 + 227/2*c_0101_2^14 + 250*c_0101_2^12 + 989/4*c_0101_2^10 + 142*c_0101_2^8 + 50*c_0101_2^6 + 85/8*c_0101_2^4 + 5/4*c_0101_2^2 + 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB