Magma V2.19-8 Tue Aug 20 2013 16:19:25 on localhost [Seed = 1141234043] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3525 geometric_solution 6.85137072 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 1023 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 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 0.625594354010 0.620561967587 0 4 0 3 0132 0132 1023 3201 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 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 0.625594354010 0.620561967587 5 0 6 3 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.534131201807 0.834362504726 2 1 0 4 3012 2310 0132 2103 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 -1 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 0 0 0 0.959271146900 0.975915954797 5 1 6 3 2310 0132 2310 2103 0 0 0 0 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 1 0 0 -1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.534131201807 0.834362504726 2 5 4 5 0132 2310 3201 3201 0 0 0 0 0 -1 1 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 0 1 -1 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 0.240955293321 1.119893048460 6 4 6 2 2031 3201 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603106462736 1.200448815626 ==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' : 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_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_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_0011_6']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_6']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_1'], '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_0'], 'c_0011_4' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_1001_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2']})} 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_6, c_0101_0, c_0101_1, c_0101_2, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 5580499429/53950328225*c_1001_2^16 - 408221478881/53950328225*c_1001_2^14 - 3785692783/504208675*c_1001_2^12 + 611829272734/53950328225*c_1001_2^10 + 258497284694/53950328225*c_1001_2^8 - 16331734698/53950328225*c_1001_2^6 + 950461412346/53950328225*c_1001_2^4 + 151320033949/10790065645*c_1001_2^2 + 121366412298/53950328225, c_0011_0 - 1, c_0011_3 - 2475636267/10790065645*c_1001_2^16 + 180569317876/10790065645*c_1001_2^14 + 410153461/20168347*c_1001_2^12 - 316771349043/10790065645*c_1001_2^\ 10 - 477354730607/10790065645*c_1001_2^8 + 38590132307/10790065645*c_1001_2^6 + 8026990101/2158013129*c_1001_2^4 - 101012114104/10790065645*c_1001_2^2 + 12596349659/10790065645, c_0011_6 + 3373445244/10790065645*c_1001_2^17 - 243473900159/10790065645*c_1001_2^15 - 4552083459/100841735*c_1001_2^13 + 38553261774/2158013129*c_1001_2^11 + 957785180389/10790065645*c_1001_2^9 + 453234654209/10790065645*c_1001_2^7 - 50030668922/10790065645*c_1001_2^5 + 120356800699/10790065645*c_1001_2^3 + 19071202941/2158013129*c_1001_2, c_0101_0 - 3626210061/10790065645*c_1001_2^17 + 262839649138/10790065645*c_1001_2^15 + 824713139/20168347*c_1001_2^13 - 273334793659/10790065645*c_1001_2^\ 11 - 875632371701/10790065645*c_1001_2^9 - 341860444249/10790065645*c_1001_2^7 + 1298095496/2158013129*c_1001_2^5 - 116545287432/10790065645*c_1001_2^3 - 66327916308/10790065645*c_1001_2, c_0101_1 + 3626210061/10790065645*c_1001_2^17 - 262839649138/10790065645*c_1001_2^15 - 824713139/20168347*c_1001_2^13 + 273334793659/10790065645*c_1001_2^\ 11 + 875632371701/10790065645*c_1001_2^9 + 341860444249/10790065645*c_1001_2^7 - 1298095496/2158013129*c_1001_2^5 + 116545287432/10790065645*c_1001_2^3 + 66327916308/10790065645*c_1001_2, c_0101_2 + 8482129/2158013129*c_1001_2^16 - 3766954674/10790065645*c_1001_2^14 + 424560972/100841735*c_1001_2^12 + 60762060403/10790065645*c_1001_2^10 - 13419471892/2158013129*c_1001_2^8 - 120827437889/10790065645*c_1001_2^6 - 10489772124/10790065645*c_1001_2^4 + 4592348117/10790065645*c_1001_2^2 - 16973652359/10790065645, c_1001_2^18 - 72*c_1001_2^16 - 157*c_1001_2^14 + 38*c_1001_2^12 + 303*c_1001_2^10 + 175*c_1001_2^8 - 10*c_1001_2^6 + 33*c_1001_2^4 + 37*c_1001_2^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB