Magma V2.19-8 Tue Aug 20 2013 16:18:34 on localhost [Seed = 2446331043] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2754 geometric_solution 5.99472723 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568931986071 1.627525741193 0 5 5 2 0132 0132 3201 2310 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 0 0 0 0 0 0 0.232755886925 1.170154791275 1 0 6 5 3201 0132 0132 3012 0 0 0 0 0 0 1 -1 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 1 -1 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 0.408438247953 0.944686922193 4 6 4 0 1230 3120 2031 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.031310422626 0.875554715487 6 3 0 3 0321 3012 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.139733054220 2.273230893834 1 1 2 6 2310 0132 1230 0132 0 0 0 0 0 0 1 -1 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 -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 0.166384745812 0.359252558573 4 3 5 2 0321 3120 0132 0132 0 0 0 0 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 -1 1 -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 1.258339673488 0.573755092542 ==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' : 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' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0110_2'], 'c_1100_5' : d['c_0110_2'], 'c_1100_4' : d['c_0101_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0110_2']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : negation(d['c_0110_2']), 'c_1010_0' : negation(d['c_0011_3'])})} 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_6, c_0101_1, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 3321778917/76972399*c_0110_2^13 + 27355234150/76972399*c_0110_2^12 - 72742661407/76972399*c_0110_2^11 + 82417905882/76972399*c_0110_2^10 - 69003519534/76972399*c_0110_2^9 + 113866657417/76972399*c_0110_2^8 - 117422125715/76972399*c_0110_2^7 + 99440100246/76972399*c_0110_2^6 - 26854640913/76972399*c_0110_2^5 - 3226080154/76972399*c_0110_2^4 + 64326576501/76972399*c_0110_2^3 - 12681983047/76972399*c_0110_2^2 + 20443785832/76972399*c_0110_2 + 11763422770/76972399, c_0011_0 - 1, c_0011_3 - 40717509/10996057*c_0110_2^13 + 341797104/10996057*c_0110_2^12 - 948512921/10996057*c_0110_2^11 + 1183628661/10996057*c_0110_2^10 - 1107435293/10996057*c_0110_2^9 + 1689352753/10996057*c_0110_2^8 - 1835427765/10996057*c_0110_2^7 + 1675785440/10996057*c_0110_2^6 - 805634365/10996057*c_0110_2^5 + 303420602/10996057*c_0110_2^4 + 579127053/10996057*c_0110_2^3 - 153749819/10996057*c_0110_2^2 + 254369078/10996057*c_0110_2 + 106932635/10996057, c_0011_4 - 135101011/10996057*c_0110_2^13 + 1128934679/10996057*c_0110_2^12 - 3103254754/10996057*c_0110_2^11 + 3799526004/10996057*c_0110_2^10 - 3492701348/10996057*c_0110_2^9 + 5407516540/10996057*c_0110_2^8 - 5829753949/10996057*c_0110_2^7 + 5289101234/10996057*c_0110_2^6 - 2383656931/10996057*c_0110_2^5 + 826921076/10996057*c_0110_2^4 + 2013057286/10996057*c_0110_2^3 - 450964593/10996057*c_0110_2^2 + 824337816/10996057*c_0110_2 + 386650685/10996057, c_0011_6 + 109011660/10996057*c_0110_2^13 - 909971540/10996057*c_0110_2^12 + 2496673738/10996057*c_0110_2^11 - 3049399836/10996057*c_0110_2^10 + 2805784712/10996057*c_0110_2^9 - 4351267817/10996057*c_0110_2^8 + 4666792228/10996057*c_0110_2^7 - 4233776923/10996057*c_0110_2^6 + 1898240346/10996057*c_0110_2^5 - 651192968/10996057*c_0110_2^4 - 1643840472/10996057*c_0110_2^3 + 361082113/10996057*c_0110_2^2 - 673164984/10996057*c_0110_2 - 318512724/10996057, c_0101_1 - 51713566/10996057*c_0110_2^13 + 429765560/10996057*c_0110_2^12 - 1168434061/10996057*c_0110_2^11 + 1403549801/10996057*c_0110_2^10 - 1283372205/10996057*c_0110_2^9 + 2030230520/10996057*c_0110_2^8 - 2154313418/10996057*c_0110_2^7 + 1939690808/10996057*c_0110_2^6 - 849618593/10996057*c_0110_2^5 + 303420602/10996057*c_0110_2^4 + 766060022/10996057*c_0110_2^3 - 131757705/10996057*c_0110_2^2 + 309349363/10996057*c_0110_2 + 150916863/10996057, c_0101_3 - 68137961/10996057*c_0110_2^13 + 571193039/10996057*c_0110_2^12 - 1581722359/10996057*c_0110_2^11 + 1969340236/10996057*c_0110_2^10 - 1840333544/10996057*c_0110_2^9 + 2799193427/10996057*c_0110_2^8 - 3032249592/10996057*c_0110_2^7 + 2798272785/10996057*c_0110_2^6 - 1327876155/10996057*c_0110_2^5 + 485416585/10996057*c_0110_2^4 + 982617229/10996057*c_0110_2^3 - 232940892/10996057*c_0110_2^2 + 430572285/10996057*c_0110_2 + 189516973/10996057, c_0110_2^14 - 8*c_0110_2^13 + 20*c_0110_2^12 - 20*c_0110_2^11 + 16*c_0110_2^10 - 31*c_0110_2^9 + 29*c_0110_2^8 - 24*c_0110_2^7 + 4*c_0110_2^6 - 17*c_0110_2^4 - 2*c_0110_2^3 - 5*c_0110_2^2 - 5*c_0110_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB