Magma V2.19-8 Wed Aug 21 2013 00:53:46 on localhost [Seed = 2480244248] Type ? for help. Type -D to quit. Loading file "L12n1903__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1903 geometric_solution 12.37647064 oriented_manifold CS_known 0.0000000000000009 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 2 2 1 0 0 0 0 0 0 1 -1 -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 1 -1 0 0 -2 2 1 0 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400906936340 0.811456548016 0 5 7 6 0132 0132 0132 0132 0 2 1 2 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 0 0 0 0 -2 1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588862040170 0.797598882977 8 0 9 5 0132 0132 0132 0132 0 2 1 2 0 0 0 0 1 0 0 -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 0 0 0 -1 0 0 1 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.279504056333 1.011570842128 10 6 5 0 0132 0132 0132 0132 0 2 1 2 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 1 0 -1 -1 0 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588862040170 0.797598882977 8 11 0 9 2031 0132 0132 0132 0 2 1 2 0 -1 0 1 0 0 1 -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 1 -1 0 0 -2 2 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.981851347455 0.846323123068 8 1 2 3 1023 0132 0132 0132 0 2 2 1 0 0 0 0 0 0 1 -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 -1 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 0.400906936340 0.811456548016 12 3 1 7 0132 0132 0132 0321 0 2 2 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 -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 0.746227944422 0.918442527591 8 6 10 1 3012 0321 0132 0132 0 2 2 2 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 -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 1.212951832511 0.825314213054 2 5 4 7 0132 1023 1302 1230 2 2 2 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 0 0 0 0 0 0 0 1 0 0 -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 -0.293123424301 1.136026515493 11 12 4 2 0213 0132 0132 0132 0 2 2 1 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 0 0 0 0 0 -1 1 0 2 0 -2 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400906936340 0.811456548016 3 11 12 7 0132 0213 0132 0132 0 2 2 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 1 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 0.415667244407 0.503675351576 9 4 10 12 0213 0132 0213 0132 0 2 2 1 0 1 0 -1 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 -1 1 -1 0 0 1 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.973534416974 0.687000874651 6 9 11 10 0132 0132 0132 0132 0 2 1 2 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 -1 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588862040170 0.797598882977 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_12'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_12'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : d['c_1001_12'], 'c_1010_10' : d['c_1001_7'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1001_7'], 'c_1100_6' : d['c_1001_7'], 'c_1100_1' : d['c_1001_7'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_7'], 'c_1100_10' : d['c_1001_7'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_12'], 'c_1010_9' : d['c_1001_12'], 'c_1010_8' : d['c_0101_3'], 'c_1100_8' : d['c_0101_1'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_1001_7'], 's_1_7' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_7']), 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : negation(d['c_0011_7']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_7'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : d['c_0011_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : d['c_0011_7'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_11'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_7'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_7, c_0101_0, c_0101_1, c_0101_3, c_1001_0, c_1001_1, c_1001_10, c_1001_12, c_1001_7, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 165802174614484/24156622160125*c_1100_0^6 - 832203738571864/24156622160125*c_1100_0^5 + 2337511143392744/24156622160125*c_1100_0^4 + 422219506465044/4831324432025*c_1100_0^3 + 5297633178838661/24156622160125*c_1100_0^2 + 671536815617123/1858201704625*c_1100_0 + 4717432153468297/24156622160125, c_0011_0 - 1, c_0011_10 - 66191788/2123659091*c_1100_0^6 + 266409760/2123659091*c_1100_0^5 - 544635380/2123659091*c_1100_0^4 - 2128266616/2123659091*c_1100_0^3 - 1632245499/2123659091*c_1100_0^2 - 6297255577/2123659091*c_1100_0 - 4880013821/2123659091, c_0011_11 + 232576564/2123659091*c_1100_0^6 - 1123730964/2123659091*c_1100_0^5 + 2998341972/2123659091*c_1100_0^4 + 3903952344/2123659091*c_1100_0^3 + 6999276235/2123659091*c_1100_0^2 + 13013170482/2123659091*c_1100_0 + 6689101029/2123659091, c_0011_7 - 2616276/124921123*c_1100_0^6 + 14813536/124921123*c_1100_0^5 - 47575536/124921123*c_1100_0^4 + 2111064/124921123*c_1100_0^3 - 97774239/124921123*c_1100_0^2 - 28593643/124921123*c_1100_0 + 29954682/124921123, c_0101_0 - 29115612/2123659091*c_1100_0^6 + 185742888/2123659091*c_1100_0^5 - 584257284/2123659091*c_1100_0^4 + 21471840/2123659091*c_1100_0^3 + 126949907/2123659091*c_1100_0^2 - 1085016139/2123659091*c_1100_0 - 183588480/2123659091, c_0101_1 - 1, c_0101_3 + 5232552/124921123*c_1100_0^6 - 29627072/124921123*c_1100_0^5 + 95151072/124921123*c_1100_0^4 - 4222128/124921123*c_1100_0^3 + 195548478/124921123*c_1100_0^2 + 307029532/124921123*c_1100_0 + 65011759/124921123, c_1001_0 - 1, c_1001_1 - 33184868/124921123*c_1100_0^6 + 163762196/124921123*c_1100_0^5 - 450160116/124921123*c_1100_0^4 - 478631730/124921123*c_1100_0^3 - 1037360067/124921123*c_1100_0^2 - 1804443050/124921123*c_1100_0 - 952554166/124921123, c_1001_10 - 8761648/124921123*c_1100_0^6 + 38430752/124921123*c_1100_0^5 - 92166516/124921123*c_1100_0^4 - 209453022/124921123*c_1100_0^3 - 303048208/124921123*c_1100_0^2 - 581689087/124921123*c_1100_0 - 436963669/124921123, c_1001_12 - 6145372/124921123*c_1100_0^6 + 23617216/124921123*c_1100_0^5 - 44590980/124921123*c_1100_0^4 - 211564086/124921123*c_1100_0^3 - 205273969/124921123*c_1100_0^2 - 428174321/124921123*c_1100_0 - 341997228/124921123, c_1001_7 + 5329176/124921123*c_1100_0^6 - 26621736/124921123*c_1100_0^5 + 75087052/124921123*c_1100_0^4 + 75950396/124921123*c_1100_0^3 + 157054028/124921123*c_1100_0^2 + 341194749/124921123*c_1100_0 + 305768511/124921123, c_1100_0^7 - 4*c_1100_0^6 + 9*c_1100_0^5 + 27*c_1100_0^4 + 181/4*c_1100_0^3 + 341/4*c_1100_0^2 + 165/2*c_1100_0 + 119/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB