Magma V2.19-8 Tue Aug 20 2013 16:16:42 on localhost [Seed = 3701293077] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0994 geometric_solution 4.88534952 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.445501341162 0.541285833382 0 0 3 2 0132 3201 0132 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 1 -1 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 0.515155719827 3.098140518889 3 3 1 4 1023 2031 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.243143604512 0.663597817913 2 2 4 1 1302 1023 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.243143604512 0.663597817913 5 5 2 3 0132 2310 0132 0132 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 -1 0 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 -0.486079320212 0.412420932104 4 6 6 4 0132 0132 3201 3201 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 -1 1 0 0 0 0 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.068832533932 0.687453799032 5 5 6 6 2310 0132 2031 1302 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 1 0 -1 -1 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 2.877757655041 1.587155981578 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_6'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_1100_1'], 's_3_6' : d['1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_1100_1'], 'c_1100_2' : d['c_1100_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_2']), 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0011_2'], 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_6' : d['c_0011_2'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_6, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 258859760987024655/5887879387028488*c_1100_1^10 + 2243884631953289175/5887879387028488*c_1100_1^9 - 30586089309604530589/23551517548113952*c_1100_1^8 + 5818102636972647179/2943939693514244*c_1100_1^7 + 43808972245707876229/11775758774056976*c_1100_1^6 - 65168287250661088881/11775758774056976*c_1100_1^5 - 79280947644770589745/2943939693514244*c_1100_1^4 - 821453348274316532245/23551517548113952*c_1100_1^3 - 257538674677679576461/11775758774056976*c_1100_1^2 - 157553342221411667857/23551517548113952*c_1100_1 - 15892278589726854339/23551517548113952, c_0011_0 - 1, c_0011_2 + 7291539170959/17950851789721*c_0101_1*c_1100_1^10 - 61504249244709/17950851789721*c_0101_1*c_1100_1^9 + 799575295610917/71803407158884*c_0101_1*c_1100_1^8 - 541510388856565/35901703579442*c_0101_1*c_1100_1^7 - 1436308794346579/35901703579442*c_0101_1*c_1100_1^6 + 817043073516125/17950851789721*c_0101_1*c_1100_1^5 + 4726447740117828/17950851789721*c_0101_1*c_1100_1^4 + 26862514843625435/71803407158884*c_0101_1*c_1100_1^3 + 4559249846240983/17950851789721*c_0101_1*c_1100_1^2 + 6089702235655595/71803407158884*c_0101_1*c_1100_1 + 711272613870479/71803407158884*c_0101_1, c_0011_4 - 10067406372041/17950851789721*c_1100_1^10 + 86232734311400/17950851789721*c_1100_1^9 - 1151910213974499/71803407158884*c_1100_1^8 + 1671669631730725/71803407158884*c_1100_1^7 + 3656248723577273/71803407158884*c_1100_1^6 - 4840639248475483/71803407158884*c_1100_1^5 - 25247763126929073/71803407158884*c_1100_1^4 - 17115843866949699/35901703579442*c_1100_1^3 - 11225787359102329/35901703579442*c_1100_1^2 - 7458208145450753/71803407158884*c_1100_1 - 461777136025863/35901703579442, c_0101_0 + 2158204299160/17950851789721*c_1100_1^10 - 17662248552552/17950851789721*c_1100_1^9 + 54502993327186/17950851789721*c_1100_1^8 - 64523952380528/17950851789721*c_1100_1^7 - 235156123678288/17950851789721*c_1100_1^6 + 191861157848221/17950851789721*c_1100_1^5 + 1468322010750101/17950851789721*c_1100_1^4 + 2328612066445882/17950851789721*c_1100_1^3 + 1796905617233277/17950851789721*c_1100_1^2 + 711040880022840/17950851789721*c_1100_1 + 110022529945732/17950851789721, c_0101_1^2 - 2158204299160/17950851789721*c_1100_1^10 + 17662248552552/17950851789721*c_1100_1^9 - 54502993327186/17950851789721*c_1100_1^8 + 64523952380528/17950851789721*c_1100_1^7 + 235156123678288/17950851789721*c_1100_1^6 - 191861157848221/17950851789721*c_1100_1^5 - 1468322010750101/17950851789721*c_1100_1^4 - 2328612066445882/17950851789721*c_1100_1^3 - 1796905617233277/17950851789721*c_1100_1^2 - 711040880022840/17950851789721*c_1100_1 - 127973381735453/17950851789721, c_0101_6 - 51619697390509/71803407158884*c_1100_1^10 + 441634506708287/71803407158884*c_1100_1^9 - 5890626089195495/287213628635536*c_1100_1^8 + 4268552446517267/143606814317768*c_1100_1^7 + 1168766737300891/17950851789721*c_1100_1^6 - 6061174211346817/71803407158884*c_1100_1^5 - 65081182775527695/143606814317768*c_1100_1^4 - 177151111620457913/287213628635536*c_1100_1^3 - 58359611179476811/143606814317768*c_1100_1^2 - 37565830415987727/287213628635536*c_1100_1 - 4131856604165671/287213628635536, c_1100_1^11 - 8*c_1100_1^10 + 95/4*c_1100_1^9 - 101/4*c_1100_1^8 - 229/2*c_1100_1^7 + 69*c_1100_1^6 + 1393/2*c_1100_1^5 + 4815/4*c_1100_1^4 + 4117/4*c_1100_1^3 + 1941/4*c_1100_1^2 + 117*c_1100_1 + 41/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB