Magma V2.19-8 Tue Aug 20 2013 16:18:14 on localhost [Seed = 1259001458] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2447 geometric_solution 5.79112163 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 -1 1 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 1 0 -1 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 0.288611960436 0.779029927595 0 1 1 5 0132 3201 2310 0132 0 0 0 0 0 1 0 -1 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 0.571579163188 0.578373469773 6 0 6 4 0132 0132 0321 1023 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 -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 0.625830239314 1.341482553192 5 5 6 0 0132 0321 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0.444724964761 0.481416367730 5 6 0 2 1023 2310 0132 1023 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 -1 1 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 0.964653163399 1.120766660098 3 4 1 3 0132 1023 0132 0321 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 1.714394340552 0.612202775089 2 3 2 4 0132 1230 0321 3201 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 -1 1 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 0.553721822742 0.237367289846 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : negation(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' : negation(d['1']), 's_0_4' : 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' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_1001_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_1001_6']), 'c_1100_3' : negation(d['c_1001_6']), 'c_1100_2' : d['c_1001_6'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], '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' : negation(d['c_0011_3']), 'c_0011_6' : 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' : d['c_0101_1'], 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0110_4'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0110_4'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0110_4'], 'c_1010_2' : d['c_0110_4'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : 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_0101_0, c_0101_1, c_0101_2, c_0110_4, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 44875664/106243*c_1001_6^11 - 5574096/106243*c_1001_6^9 + 142137115/106243*c_1001_6^7 + 124142877/106243*c_1001_6^5 - 126945845/106243*c_1001_6^3 + 49488994/106243*c_1001_6, c_0011_0 - 1, c_0011_3 - 276104/106243*c_1001_6^11 - 42976/106243*c_1001_6^9 + 1699107/212486*c_1001_6^7 + 763453/106243*c_1001_6^5 - 1369467/212486*c_1001_6^3 + 702111/212486*c_1001_6, c_0101_0 + 39640/106243*c_1001_6^10 - 28800/106243*c_1001_6^8 - 372097/212486*c_1001_6^6 - 6145/106243*c_1001_6^4 + 589047/212486*c_1001_6^2 - 85225/212486, c_0101_1 + 222360/106243*c_1001_6^10 + 28848/106243*c_1001_6^8 - 1394281/212486*c_1001_6^6 - 651666/106243*c_1001_6^4 + 1185823/212486*c_1001_6^2 - 317471/212486, c_0101_2 - 53744/106243*c_1001_6^10 - 14128/106243*c_1001_6^8 + 152413/106243*c_1001_6^6 + 111787/106243*c_1001_6^4 - 91822/106243*c_1001_6^2 + 86077/106243, c_0110_4 - 376776/106243*c_1001_6^11 - 96768/106243*c_1001_6^9 + 2408763/212486*c_1001_6^7 + 1190523/106243*c_1001_6^5 - 1892297/212486*c_1001_6^3 + 457345/212486*c_1001_6, c_1001_6^12 - 51/16*c_1001_6^8 - 19/8*c_1001_6^6 + 51/16*c_1001_6^4 - 23/16*c_1001_6^2 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB