Magma V2.19-8 Tue Aug 20 2013 16:18:10 on localhost [Seed = 3903419858] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2384 geometric_solution 5.75078061 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 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 1 -1 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 0.499981745235 0.489611177840 0 4 3 5 0132 0132 3201 0132 0 0 0 0 0 0 1 -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 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 -0.524241158763 0.865898765922 4 0 6 6 3201 0132 3201 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.330493003736 1.408222807741 1 5 0 0 2310 1023 1230 0132 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 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 1.897673553549 1.505670906145 4 1 4 2 2310 0132 3201 2310 0 0 0 0 0 0 0 0 -1 0 0 1 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 0.511649732394 0.845101275355 3 6 1 6 1023 1302 0132 2031 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 -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 0.057495520548 0.825910885889 2 5 2 5 2310 1302 0132 2031 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 -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 -0.479247798232 0.797922035774 ==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' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : 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' : 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' : negation(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' : negation(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_6']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_0011_6']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], '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' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_0110_5'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_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_6, c_0101_0, c_0101_2, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 3525661225584/12655632455*c_0110_5^11 - 36466986671528/12655632455*c_0110_5^10 - 161768372813152/12655632455*c_0110_5^9 - 82127136210926/2531126491*c_0110_5^8 - 661979166786836/12655632455*c_0110_5^7 - 694135761803188/12655632455*c_0110_5^6 - 454253267326694/12655632455*c_0110_5^5 - 149264835394563/12655632455*c_0110_5^4 + 2990981127673/2531126491*c_0110_5^3 + 33954171845676/12655632455*c_0110_5^2 + 13700027125571/12655632455*c_0110_5 + 2378512614749/12655632455, c_0011_0 - 1, c_0011_3 - 10599777744/2531126491*c_0110_5^11 - 106796732120/2531126491*c_0110_5^10 - 457845237408/2531126491*c_0110_5^9 - 1112211708922/2531126491*c_0110_5^8 - 1690613377456/2531126491*c_0110_5^7 - 1625603822934/2531126491*c_0110_5^6 - 916420430710/2531126491*c_0110_5^5 - 192472349385/2531126491*c_0110_5^4 + 101577144525/2531126491*c_0110_5^3 + 80330401735/2531126491*c_0110_5^2 + 26028230788/2531126491*c_0110_5 + 2720144168/2531126491, c_0011_6 - 6782956480/2531126491*c_0110_5^11 - 68051343568/2531126491*c_0110_5^10 - 289441412168/2531126491*c_0110_5^9 - 694896802968/2531126491*c_0110_5^8 - 1041109116622/2531126491*c_0110_5^7 - 984574844988/2531126491*c_0110_5^6 - 543569298048/2531126491*c_0110_5^5 - 110648502260/2531126491*c_0110_5^4 + 59176943483/2531126491*c_0110_5^3 + 45850319489/2531126491*c_0110_5^2 + 16862223461/2531126491*c_0110_5 + 2881755430/2531126491, c_0101_0 + 7010817808/2531126491*c_0110_5^11 + 70699991928/2531126491*c_0110_5^10 + 304791038224/2531126491*c_0110_5^9 + 750083952410/2531126491*c_0110_5^8 + 1166339176472/2531126491*c_0110_5^7 + 1161258894000/2531126491*c_0110_5^6 + 688805220118/2531126491*c_0110_5^5 + 157910826871/2531126491*c_0110_5^4 - 80403762677/2531126491*c_0110_5^3 - 68912044070/2531126491*c_0110_5^2 - 20595047666/2531126491*c_0110_5 - 1620644427/2531126491, c_0101_2 - 5610063024/2531126491*c_0110_5^11 - 52122705272/2531126491*c_0110_5^10 - 198426650072/2531126491*c_0110_5^9 - 404102629174/2531126491*c_0110_5^8 - 460074922098/2531126491*c_0110_5^7 - 226765126802/2531126491*c_0110_5^6 + 91172308416/2531126491*c_0110_5^5 + 195394761621/2531126491*c_0110_5^4 + 99428376212/2531126491*c_0110_5^3 + 79347208/2531126491*c_0110_5^2 - 12463846366/2531126491*c_0110_5 - 4787391699/2531126491, c_0101_3 - c_0110_5 - 1, c_0110_5^12 + 21/2*c_0110_5^11 + 95/2*c_0110_5^10 + 989/8*c_0110_5^9 + 1647/8*c_0110_5^8 + 226*c_0110_5^7 + 637/4*c_0110_5^6 + 993/16*c_0110_5^5 + 2*c_0110_5^4 - 169/16*c_0110_5^3 - 11/2*c_0110_5^2 - 5/4*c_0110_5 - 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB