Magma V2.19-8 Tue Aug 20 2013 16:16:06 on localhost [Seed = 3297073161] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0359 geometric_solution 4.39484867 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.116715355176 0.937158113481 0 0 1 1 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2.156404325853 0.454321135399 4 0 3 4 0132 0132 1302 1023 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 1 0 -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 0.330693339000 0.238979551679 2 5 5 0 2031 0132 1023 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.330693339000 0.238979551679 2 6 6 2 0132 0132 1023 1023 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 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 1.200757537063 0.796202565383 6 3 3 6 3201 0132 1023 2310 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 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 1.200757537063 0.796202565383 5 4 4 5 3201 0132 1023 2310 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 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 1.421532757279 0.383572110462 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(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' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_0']), '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' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : negation(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_0101_0, c_0101_1, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 863169/8192*c_0101_6^12 - 26279803/65536*c_0101_6^11 + 15291147/32768*c_0101_6^10 + 20953059/65536*c_0101_6^9 - 101909925/65536*c_0101_6^8 + 10072947/16384*c_0101_6^7 + 155575/1024*c_0101_6^6 - 20167517/4096*c_0101_6^5 - 8674547/2048*c_0101_6^4 - 4356215/1024*c_0101_6^3 - 1111559/128*c_0101_6^2 - 903819/128*c_0101_6 - 463493/256, c_0011_0 - 1, c_0011_3 + 3/8192*c_0101_6^12 - 113/65536*c_0101_6^11 + 117/32768*c_0101_6^10 - 287/65536*c_0101_6^9 + 313/65536*c_0101_6^8 - 219/16384*c_0101_6^7 + 239/8192*c_0101_6^6 - 305/4096*c_0101_6^5 + 59/512*c_0101_6^4 - 269/1024*c_0101_6^3 + 245/512*c_0101_6^2 - 1/64*c_0101_6 - 1/256, c_0101_0 + 8211/4096*c_0101_6^12 - 203489/32768*c_0101_6^11 + 42089/16384*c_0101_6^10 + 537529/32768*c_0101_6^9 - 1042671/32768*c_0101_6^8 - 66467/8192*c_0101_6^7 + 12489/512*c_0101_6^6 - 216515/2048*c_0101_6^5 - 142901/1024*c_0101_6^4 - 51033/512*c_0101_6^3 - 13507/64*c_0101_6^2 - 14251/64*c_0101_6 - 9383/128, c_0101_1 + 1503/4096*c_0101_6^12 - 35157/32768*c_0101_6^11 + 2541/8192*c_0101_6^10 + 93693/32768*c_0101_6^9 - 157445/32768*c_0101_6^8 - 45589/16384*c_0101_6^7 + 26771/8192*c_0101_6^6 - 67461/4096*c_0101_6^5 - 62763/2048*c_0101_6^4 - 24151/1024*c_0101_6^3 - 20095/512*c_0101_6^2 - 12449/256*c_0101_6 - 637/32, c_0101_4 - 10209/8192*c_0101_6^12 + 269435/65536*c_0101_6^11 - 88873/32768*c_0101_6^10 - 550459/65536*c_0101_6^9 + 1280753/65536*c_0101_6^8 + 153/128*c_0101_6^7 - 45533/4096*c_0101_6^6 + 130805/2048*c_0101_6^5 + 155291/2048*c_0101_6^4 + 15091/256*c_0101_6^3 + 31645/256*c_0101_6^2 + 31385/256*c_0101_6 + 9889/256, c_0101_5 + 10209/8192*c_0101_6^12 - 269435/65536*c_0101_6^11 + 88873/32768*c_0101_6^10 + 550459/65536*c_0101_6^9 - 1280753/65536*c_0101_6^8 - 153/128*c_0101_6^7 + 45533/4096*c_0101_6^6 - 130805/2048*c_0101_6^5 - 155291/2048*c_0101_6^4 - 15091/256*c_0101_6^3 - 31645/256*c_0101_6^2 - 31385/256*c_0101_6 - 9889/256, c_0101_6^13 - 65/24*c_0101_6^12 + 1/3*c_0101_6^11 + 181/24*c_0101_6^10 - 87/8*c_0101_6^9 - 125/12*c_0101_6^8 + 20/3*c_0101_6^7 - 44*c_0101_6^6 - 92*c_0101_6^5 - 88*c_0101_6^4 - 128*c_0101_6^3 - 160*c_0101_6^2 - 96*c_0101_6 - 64/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB