Magma V2.19-8 Wed Aug 21 2013 00:57:51 on localhost [Seed = 223025075] Type ? for help. Type -D to quit. Loading file "L13n4532__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4532 geometric_solution 11.96361611 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 1 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 1 0 -1 0 0 1 -1 1 -2 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.619504216266 1.592071192943 0 5 7 6 0132 0132 0132 0132 1 1 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.173848808349 0.541130760657 4 0 3 6 0132 0132 0213 2031 0 1 1 1 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 -1 1 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509871935809 0.613385808969 8 2 9 0 0132 0213 0132 0132 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 2 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 0.295774246836 0.671993815373 2 9 0 10 0132 0132 0132 0132 0 1 1 1 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 1 -1 -1 0 1 0 2 0 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338598351303 0.699147864593 9 1 7 11 0132 0132 1302 0132 1 1 1 1 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 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 1.029826229998 1.146137393223 8 2 1 12 2103 1302 0132 0132 1 1 0 1 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 -1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.234154802735 0.853937940964 5 10 12 1 2031 1023 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417516283744 1.524554022018 3 12 6 10 0132 3120 2103 0321 0 1 1 1 0 1 -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 0 0 0 0 -2 1 1 -2 0 0 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 1.013798982695 1.226836895910 5 4 11 3 0132 0132 2031 0132 0 1 1 1 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 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 0.593995199020 0.900451261170 7 8 4 11 1023 0321 0132 2031 0 1 1 1 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594089430134 0.804647838275 12 10 5 9 0132 1302 0132 1302 1 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.334285566545 0.813633741908 11 8 6 7 0132 3120 0132 0132 1 1 1 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.940894277859 0.833600424210 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_10'], 'c_1001_10' : negation(d['c_0101_12']), 'c_1001_12' : negation(d['c_0011_6']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0110_10'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_12']), 'c_1001_8' : d['c_0011_6'], 'c_1010_12' : d['c_0011_3'], 'c_1010_11' : d['c_1010_11'], 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_3'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1010_11']), 'c_1100_8' : negation(d['c_0101_12']), 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_0101_11'], 'c_1100_4' : negation(d['c_1010_11']), 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1010_11']), 'c_1100_3' : negation(d['c_1010_11']), 'c_1100_2' : d['c_0011_6'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_11'], 'c_1100_10' : negation(d['c_1010_11']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_10'], 'c_1010_6' : negation(d['c_0011_6']), 'c_1010_5' : d['c_0110_10'], 'c_1010_4' : negation(d['c_0101_12']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_11'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_1'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], '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_0110_11' : d['c_0101_12'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_12']})} 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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0110_10, c_1001_2, c_1010_11, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 3006122923437218/116191979928255*c_1100_1^10 + 87329910687311113/232383959856510*c_1100_1^9 + 382363806213976253/232383959856510*c_1100_1^8 + 23581761299147606/16598854275465*c_1100_1^7 - 712565125674952639/232383959856510*c_1100_1^6 - 22490350806357829/116191979928255*c_1100_1^5 + 6956484964853113/1005991168210*c_1100_1^4 - 1104152915298460267/232383959856510*c_1100_1^3 - 4955214206233024/7746131995217*c_1100_1^2 + 40309619597581933/15492263990434*c_1100_1 - 211351035406735291/232383959856510, c_0011_0 - 1, c_0011_10 - 355064175/756384337*c_1100_1^10 - 5417218763/756384337*c_1100_1^9 - 26425488624/756384337*c_1100_1^8 - 36943624435/756384337*c_1100_1^7 + 24982573347/756384337*c_1100_1^6 + 38654354755/756384337*c_1100_1^5 - 66557962994/756384337*c_1100_1^4 + 1505531536/756384337*c_1100_1^3 + 25445476324/756384337*c_1100_1^2 - 7821706027/756384337*c_1100_1 - 160558495/756384337, c_0011_11 + 1523115008/3781921685*c_1100_1^10 + 22713493454/3781921685*c_1100_1^9 + 105212396699/3781921685*c_1100_1^8 + 117257136912/3781921685*c_1100_1^7 - 172806428032/3781921685*c_1100_1^6 - 147006803249/3781921685*c_1100_1^5 + 345662371874/3781921685*c_1100_1^4 - 89756213026/3781921685*c_1100_1^3 - 25203169505/756384337*c_1100_1^2 + 12539708419/756384337*c_1100_1 - 6441006438/3781921685, c_0011_3 + 714965422/3781921685*c_1100_1^10 + 10838162406/3781921685*c_1100_1^9 + 52217081491/3781921685*c_1100_1^8 + 70373144098/3781921685*c_1100_1^7 - 51245844768/3781921685*c_1100_1^6 - 61451476906/3781921685*c_1100_1^5 + 141863003546/3781921685*c_1100_1^4 - 24210410999/3781921685*c_1100_1^3 - 7593205665/756384337*c_1100_1^2 + 5464424703/756384337*c_1100_1 - 6588541027/3781921685, c_0011_6 - 1, c_0101_0 - 1516858689/3781921685*c_1100_1^10 - 20714109997/3781921685*c_1100_1^9 - 75914410172/3781921685*c_1100_1^8 + 21715364154/3781921685*c_1100_1^7 + 353054220291/3781921685*c_1100_1^6 - 17314575803/3781921685*c_1100_1^5 - 549638902662/3781921685*c_1100_1^4 + 471232143258/3781921685*c_1100_1^3 + 17816197710/756384337*c_1100_1^2 - 42114160546/756384337*c_1100_1 + 60131864094/3781921685, c_0101_1 - 1770780159/3781921685*c_1100_1^10 - 25443081802/3781921685*c_1100_1^9 - 107882195772/3781921685*c_1100_1^8 - 68814117651/3781921685*c_1100_1^7 + 278873643396/3781921685*c_1100_1^6 + 62857580432/3781921685*c_1100_1^5 - 506964167517/3781921685*c_1100_1^4 + 321125379448/3781921685*c_1100_1^3 + 21188152755/756384337*c_1100_1^2 - 33946059316/756384337*c_1100_1 + 46082558294/3781921685, c_0101_11 + 624149744/3781921685*c_1100_1^10 + 8533569532/3781921685*c_1100_1^9 + 31480262272/3781921685*c_1100_1^8 - 6793614614/3781921685*c_1100_1^7 - 137034902916/3781921685*c_1100_1^6 + 18292140353/3781921685*c_1100_1^5 + 220977066317/3781921685*c_1100_1^4 - 206833607108/3781921685*c_1100_1^3 - 4866027555/756384337*c_1100_1^2 + 18518273162/756384337*c_1100_1 - 29513884389/3781921685, c_0101_12 - 1132567737/3781921685*c_1100_1^10 - 14556077551/3781921685*c_1100_1^9 - 42752897051/3781921685*c_1100_1^8 + 84611378152/3781921685*c_1100_1^7 + 361734745948/3781921685*c_1100_1^6 - 70455288089/3781921685*c_1100_1^5 - 505539852156/3781921685*c_1100_1^4 + 525790963739/3781921685*c_1100_1^3 + 13756363112/756384337*c_1100_1^2 - 45535007244/756384337*c_1100_1 + 67193230227/3781921685, c_0110_10 + 2138605251/3781921685*c_1100_1^10 + 30355707343/3781921685*c_1100_1^9 + 124747233433/3781921685*c_1100_1^8 + 57543716584/3781921685*c_1100_1^7 - 364426373649/3781921685*c_1100_1^6 - 30345999978/3781921685*c_1100_1^5 + 653690414943/3781921685*c_1100_1^4 - 470281680267/3781921685*c_1100_1^3 - 22162151205/756384337*c_1100_1^2 + 47419353803/756384337*c_1100_1 - 68236441296/3781921685, c_1001_2 + 3465494897/3781921685*c_1100_1^10 + 49470606191/3781921685*c_1100_1^9 + 206271308606/3781921685*c_1100_1^8 + 111559395113/3781921685*c_1100_1^7 - 575590104628/3781921685*c_1100_1^6 - 97716650636/3781921685*c_1100_1^5 + 1020217379126/3781921685*c_1100_1^4 - 689037042169/3781921685*c_1100_1^3 - 39605315322/756384337*c_1100_1^2 + 68258309081/756384337*c_1100_1 - 96462639387/3781921685, c_1010_11 + 339713575/756384337*c_1100_1^10 + 5426987132/756384337*c_1100_1^9 + 29007932070/756384337*c_1100_1^8 + 53554094776/756384337*c_1100_1^7 + 1838816117/756384337*c_1100_1^6 - 53026633078/756384337*c_1100_1^5 + 38470225357/756384337*c_1100_1^4 + 44269667522/756384337*c_1100_1^3 - 25284060302/756384337*c_1100_1^2 - 8475282267/756384337*c_1100_1 + 5700401087/756384337, c_1100_1^11 + 14*c_1100_1^10 + 56*c_1100_1^9 + 22*c_1100_1^8 - 145*c_1100_1^7 + 58*c_1100_1^6 + 270*c_1100_1^5 - 324*c_1100_1^4 + 78*c_1100_1^3 + 110*c_1100_1^2 - 86*c_1100_1 + 19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.270 Total time: 0.470 seconds, Total memory usage: 32.09MB