Magma V2.19-8 Tue Aug 20 2013 16:15:53 on localhost [Seed = 3751691236] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0106 geometric_solution 3.63446326 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -4.024602818756 0.655786622118 0 0 3 3 0132 3201 3201 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 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 0.405193186259 0.093169330369 0 0 2 2 3201 0132 1230 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 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 0.143971189730 0.014015012490 1 4 1 4 2310 0132 0132 1023 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 -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 0.666353492786 0.244797067844 5 3 6 3 0132 0132 0132 1023 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 1 0 0 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.984847300461 1.974956022462 4 6 6 6 0132 3201 2310 1230 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 0 1 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 0.002461316512 0.989914504145 5 5 5 4 3012 3201 2310 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.002461316512 0.989914504145 ==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' : 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' : 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' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), '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_5']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0110_2'])})} 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_1, c_0101_5, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 133912514/5*c_0110_2^19 + 55028128/5*c_0110_2^18 - 4396499421/5*c_0110_2^17 - 5957922981/5*c_0110_2^16 + 33038515328/5*c_0110_2^15 + 73703046832/5*c_0110_2^14 - 104027470763/5*c_0110_2^13 - 50892517007*c_0110_2^12 + 225929866837/5*c_0110_2^11 + 402845161364/5*c_0110_2^10 - 354574642278/5*c_0110_2^9 - 304786802598/5*c_0110_2^8 + 345856039786/5*c_0110_2^7 + 68196581249/5*c_0110_2^6 - 174983904086/5*c_0110_2^5 + 39511824846/5*c_0110_2^4 + 29089818306/5*c_0110_2^3 - 18712199264/5*c_0110_2^2 + 4095482564/5*c_0110_2 - 325926817/5, c_0011_0 - 1, c_0011_3 + 13*c_0110_2^19 + c_0110_2^18 - 429*c_0110_2^17 - 436*c_0110_2^16 + 3414*c_0110_2^15 + 6102*c_0110_2^14 - 12590*c_0110_2^13 - 21556*c_0110_2^12 + 30503*c_0110_2^11 + 32563*c_0110_2^10 - 48177*c_0110_2^9 - 19328*c_0110_2^8 + 44546*c_0110_2^7 - 3658*c_0110_2^6 - 20260*c_0110_2^5 + 9300*c_0110_2^4 + 2080*c_0110_2^3 - 2881*c_0110_2^2 + 914*c_0110_2 - 106, c_0011_6 + 235496*c_0110_2^19 + 97524*c_0110_2^18 - 7730976*c_0110_2^17 - 10501937*c_0110_2^16 + 58057190*c_0110_2^15 + 129780160*c_0110_2^14 - 182456494*c_0110_2^13 - 447875105*c_0110_2^12 + 395726143*c_0110_2^11 + 709040869*c_0110_2^10 - 621031265*c_0110_2^9 - 536933427*c_0110_2^8 + 606109408*c_0110_2^7 + 120993574*c_0110_2^6 - 306895126*c_0110_2^5 + 68846644*c_0110_2^4 + 51112192*c_0110_2^3 - 32761772*c_0110_2^2 + 7157688*c_0110_2 - 568808, c_0101_0 + c_0110_2^19 - 33*c_0110_2^17 - 31*c_0110_2^16 + 265*c_0110_2^15 + 449*c_0110_2^14 - 1003*c_0110_2^13 - 1581*c_0110_2^12 + 2468*c_0110_2^11 + 2315*c_0110_2^10 - 3884*c_0110_2^9 - 1188*c_0110_2^8 + 3518*c_0110_2^7 - 552*c_0110_2^6 - 1516*c_0110_2^5 + 832*c_0110_2^4 + 96*c_0110_2^3 - 229*c_0110_2^2 + 89*c_0110_2 - 14, c_0101_1 + 699655*c_0110_2^19 + 287078*c_0110_2^18 - 22971004*c_0110_2^17 - 31114765*c_0110_2^16 + 172647650*c_0110_2^15 + 384995081*c_0110_2^14 - 543825943*c_0110_2^13 - 1329408874*c_0110_2^12 + 1181370555*c_0110_2^11 + 2104814160*c_0110_2^10 - 1853986348*c_0110_2^9 - 1592510331*c_0110_2^8 + 1808206690*c_0110_2^7 + 356227172*c_0110_2^6 - 914787394*c_0110_2^5 + 206567887*c_0110_2^4 + 152086484*c_0110_2^3 - 97810307*c_0110_2^2 + 21400492*c_0110_2 - 1702297, c_0101_5 - 92*c_0110_2^19 - 12*c_0110_2^18 + 3035*c_0110_2^17 + 3248*c_0110_2^16 - 23975*c_0110_2^15 - 44457*c_0110_2^14 + 86623*c_0110_2^13 + 157039*c_0110_2^12 - 207081*c_0110_2^11 - 241015*c_0110_2^10 + 327080*c_0110_2^9 + 153589*c_0110_2^8 - 305516*c_0110_2^7 + 9756*c_0110_2^6 + 142578*c_0110_2^5 - 57800*c_0110_2^4 - 17300*c_0110_2^3 + 19084*c_0110_2^2 - 5444*c_0110_2 + 556, c_0110_2^20 - 33*c_0110_2^18 - 31*c_0110_2^17 + 265*c_0110_2^16 + 449*c_0110_2^15 - 1003*c_0110_2^14 - 1581*c_0110_2^13 + 2468*c_0110_2^12 + 2315*c_0110_2^11 - 3884*c_0110_2^10 - 1188*c_0110_2^9 + 3518*c_0110_2^8 - 552*c_0110_2^7 - 1516*c_0110_2^6 + 832*c_0110_2^5 + 96*c_0110_2^4 - 229*c_0110_2^3 + 88*c_0110_2^2 - 15*c_0110_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB