Magma V2.19-8 Tue Aug 20 2013 16:18:47 on localhost [Seed = 4256981132] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2940 geometric_solution 6.13670300 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 2103 0132 0132 0 0 0 0 0 0 -1 1 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 -1 0 1 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 1.271980177637 1.305287168517 0 0 5 4 0132 2103 0132 0132 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 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 0.571507676609 0.651750598017 4 5 4 0 0132 1230 2031 0132 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396572641470 0.544863010170 4 3 0 3 1302 2310 0132 3201 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 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 0.137066496073 0.802562026944 2 3 1 2 0132 2031 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.137066496073 0.802562026944 6 6 2 1 0132 2310 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.245367169179 0.922797317632 5 6 6 5 0132 1230 3012 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.204688675320 0.718122493557 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(d['1']), 's_1_2' : 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' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_2'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_5']), '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_2'], 'c_1001_5' : negation(d['c_0011_2']), 'c_1001_4' : negation(d['c_0110_3']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0110_3'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_2'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_0']), 'c_1010_6' : d['c_0011_2'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0110_3']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0110_3']), 'c_1010_0' : d['c_0110_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_2, c_0011_3, c_0011_5, c_0101_0, c_0101_2, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 1802982502422162/467002881181529*c_0110_3^17 - 52068774689760/467002881181529*c_0110_3^15 + 15595562994975242/467002881181529*c_0110_3^13 + 18887822635906382/467002881181529*c_0110_3^11 + 27379008587025420/467002881181529*c_0110_3^9 - 118710897596998590/467002881181529*c_0110_3^7 - 131963287323500889/467002881181529*c_0110_3^5 - 60317766537001245/467002881181529*c_0110_3^3 + 11136036762039115/467002881181529*c_0110_3, c_0011_0 - 1, c_0011_2 - 18952728363/78765876401*c_0110_3^17 + 4434122772/78765876401*c_0110_3^15 + 164750684122/78765876401*c_0110_3^13 + 157317469106/78765876401*c_0110_3^11 + 230134972619/78765876401*c_0110_3^9 - 1339630273658/78765876401*c_0110_3^7 - 1074578897145/78765876401*c_0110_3^5 - 276491585334/78765876401*c_0110_3^3 + 408002282008/78765876401*c_0110_3, c_0011_3 - 4825637454/78765876401*c_0110_3^17 + 915972346/78765876401*c_0110_3^15 + 41730888194/78765876401*c_0110_3^13 + 43265298206/78765876401*c_0110_3^11 + 58699812441/78765876401*c_0110_3^9 - 352004261272/78765876401*c_0110_3^7 - 277748348949/78765876401*c_0110_3^5 - 71392074921/78765876401*c_0110_3^3 + 199119514647/78765876401*c_0110_3, c_0011_5 - 8806471653/78765876401*c_0110_3^16 + 4559874211/78765876401*c_0110_3^14 + 74961799066/78765876401*c_0110_3^12 + 48887801388/78765876401*c_0110_3^10 + 93025420886/78765876401*c_0110_3^8 - 632776878788/78765876401*c_0110_3^6 - 304674933813/78765876401*c_0110_3^4 + 1923473258/78765876401*c_0110_3^2 + 104179181174/78765876401, c_0101_0 + 14127090909/78765876401*c_0110_3^16 - 3518150426/78765876401*c_0110_3^14 - 123019795928/78765876401*c_0110_3^12 - 114052170900/78765876401*c_0110_3^10 - 171435160178/78765876401*c_0110_3^8 + 987626012386/78765876401*c_0110_3^6 + 796830548196/78765876401*c_0110_3^4 + 205099510413/78765876401*c_0110_3^2 - 208882767361/78765876401, c_0101_2 - 12243637560/78765876401*c_0110_3^16 + 3024445450/78765876401*c_0110_3^14 + 104689001484/78765876401*c_0110_3^12 + 98714786395/78765876401*c_0110_3^10 + 159104143942/78765876401*c_0110_3^8 - 848048381149/78765876401*c_0110_3^6 - 640372909161/78765876401*c_0110_3^4 - 265635105766/78765876401*c_0110_3^2 + 164659734514/78765876401, c_0110_3^18 - 1/3*c_0110_3^16 - 26/3*c_0110_3^14 - 22/3*c_0110_3^12 - 34/3*c_0110_3^10 + 214/3*c_0110_3^8 + 148/3*c_0110_3^6 + 19/3*c_0110_3^4 - 55/3*c_0110_3^2 + 7/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB