Magma V2.19-8 Tue Aug 20 2013 23:41:12 on localhost [Seed = 4290354038] Type ? for help. Type -D to quit. Loading file "L12n1038__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1038 geometric_solution 10.39744480 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 1 1 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 1 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 1.018677702285 0.947819570110 0 5 6 2 0132 0132 0132 3120 1 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 1 -1 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 0.535730979662 0.586931894446 1 0 7 3 3120 0132 0132 3120 0 0 1 1 0 -1 0 1 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 2 0 -2 0 0 -2 2 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.534802515865 0.414786276562 2 8 9 0 3120 0132 0132 0132 0 0 1 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 0 1 0 -1 -2 0 2 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 0.453700687865 0.518738846024 5 5 0 10 0132 1230 0132 0132 0 0 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 0 -1 1 0 0 0 0 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.580235730372 0.833284716817 4 1 4 7 0132 0132 3012 2031 1 0 1 1 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 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.437230890626 0.808200656029 7 10 8 1 2031 2031 3120 0132 1 0 1 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 1 -1 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 0.699494257745 0.923915271844 10 5 6 2 1023 1302 1302 0132 0 0 1 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 -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 0.422205042245 0.582152834470 10 3 6 9 3012 0132 3120 3012 0 0 0 1 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 -1 1 0 0 0 0 0 0 2 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.962586106285 0.914024226063 9 9 8 3 1302 2031 1230 0132 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 0 0 0 0 0 0 0.426075714392 0.964920905955 6 7 4 8 1302 1023 0132 1230 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 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 -0.198730361474 1.398807341201 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_6']), 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_1'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_0011_9'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_3']), 'c_1001_8' : negation(d['c_0011_3']), 'c_1010_10' : d['c_0101_2'], 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_6']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : 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_10' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0110_8'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_2']), 'c_1100_4' : d['c_0110_8'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0110_8'], 'c_1100_3' : d['c_0110_8'], 'c_1100_2' : negation(d['c_0101_3']), 'c_1100_10' : d['c_0110_8'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_9'], 'c_1010_8' : d['c_0011_9'], 'c_1100_8' : d['c_0101_3'], 's_3_1' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(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_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(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_10' : negation(d['c_0011_3']), 'c_0101_7' : negation(d['c_0011_6']), 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_9']), 'c_0101_8' : d['c_0101_2'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0110_8'], '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_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_8, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 41539555747339/1089859633984*c_1001_2^12 + 441584616292895/1089859633984*c_1001_2^11 + 1688296172069235/1089859633984*c_1001_2^10 + 602135312433987/272464908496*c_1001_2^9 - 49091169635347/99078148544*c_1001_2^8 - 3083729972591517/1089859633984*c_1001_2^7 + 3443664256933983/1089859633984*c_1001_2^6 + 2473429312973637/544929816992*c_1001_2^5 - 1778490807647595/544929816992*c_1001_2^4 - 1118939332569981/544929816992*c_1001_2^3 + 185043417441221/99078148544*c_1001_2^2 - 41019994110957/99078148544*c_1001_2 + 27773010131569/1089859633984, c_0011_0 - 1, c_0011_10 + 1981618528/1548096071*c_1001_2^12 + 20648012149/1548096071*c_1001_2^11 + 75958583810/1548096071*c_1001_2^10 + 96374581977/1548096071*c_1001_2^9 - 56203805803/1548096071*c_1001_2^8 - 151647768032/1548096071*c_1001_2^7 + 194899772179/1548096071*c_1001_2^6 + 213587837563/1548096071*c_1001_2^5 - 226266557591/1548096071*c_1001_2^4 - 91113610397/1548096071*c_1001_2^3 + 125455173533/1548096071*c_1001_2^2 - 29454338068/1548096071*c_1001_2 + 2096928226/1548096071, c_0011_3 - 3902927650/1548096071*c_1001_2^12 - 40341399963/1548096071*c_1001_2^11 - 146298308852/1548096071*c_1001_2^10 - 178377011014/1548096071*c_1001_2^9 + 121893836510/1548096071*c_1001_2^8 + 280513624861/1548096071*c_1001_2^7 - 412954583020/1548096071*c_1001_2^6 - 381568208362/1548096071*c_1001_2^5 + 478198056491/1548096071*c_1001_2^4 + 123989348070/1548096071*c_1001_2^3 - 263661466817/1548096071*c_1001_2^2 + 87090999558/1548096071*c_1001_2 - 12477523027/1548096071, c_0011_6 + 3071100781/1548096071*c_1001_2^12 + 31757846105/1548096071*c_1001_2^11 + 115317138299/1548096071*c_1001_2^10 + 141444746001/1548096071*c_1001_2^9 - 93106417214/1548096071*c_1001_2^8 - 217802988400/1548096071*c_1001_2^7 + 324208712721/1548096071*c_1001_2^6 + 298702275585/1548096071*c_1001_2^5 - 371231497870/1548096071*c_1001_2^4 - 92896657891/1548096071*c_1001_2^3 + 205924589653/1548096071*c_1001_2^2 - 69371742504/1548096071*c_1001_2 + 10495904499/1548096071, c_0011_9 - 8557760903/1548096071*c_1001_2^12 - 88696246312/1548096071*c_1001_2^11 - 323327262043/1548096071*c_1001_2^10 - 400643957211/1548096071*c_1001_2^9 + 254776140181/1548096071*c_1001_2^8 + 621862738904/1548096071*c_1001_2^7 - 884250372755/1548096071*c_1001_2^6 - 858424773994/1548096071*c_1001_2^5 + 1018069284865/1548096071*c_1001_2^4 + 299528091371/1548096071*c_1001_2^3 - 562543624785/1548096071*c_1001_2^2 + 172632154893/1548096071*c_1001_2 - 24802873451/1548096071, c_0101_0 - 1, c_0101_1 + 1981618528/1548096071*c_1001_2^12 + 20648012149/1548096071*c_1001_2^11 + 75958583810/1548096071*c_1001_2^10 + 96374581977/1548096071*c_1001_2^9 - 56203805803/1548096071*c_1001_2^8 - 151647768032/1548096071*c_1001_2^7 + 194899772179/1548096071*c_1001_2^6 + 213587837563/1548096071*c_1001_2^5 - 226266557591/1548096071*c_1001_2^4 - 91113610397/1548096071*c_1001_2^3 + 125455173533/1548096071*c_1001_2^2 - 29454338068/1548096071*c_1001_2 + 3645024297/1548096071, c_0101_2 - 1, c_0101_3 - 3902927650/1548096071*c_1001_2^12 - 40341399963/1548096071*c_1001_2^11 - 146298308852/1548096071*c_1001_2^10 - 178377011014/1548096071*c_1001_2^9 + 121893836510/1548096071*c_1001_2^8 + 280513624861/1548096071*c_1001_2^7 - 412954583020/1548096071*c_1001_2^6 - 381568208362/1548096071*c_1001_2^5 + 478198056491/1548096071*c_1001_2^4 + 123989348070/1548096071*c_1001_2^3 - 263661466817/1548096071*c_1001_2^2 + 85542903487/1548096071*c_1001_2 - 12477523027/1548096071, c_0110_8 + 6099557604/1548096071*c_1001_2^12 + 63305569999/1548096071*c_1001_2^11 + 231374142337/1548096071*c_1001_2^10 + 289054647471/1548096071*c_1001_2^9 - 176704962995/1548096071*c_1001_2^8 - 444485145241/1548096071*c_1001_2^7 + 624331411282/1548096071*c_1001_2^6 + 620150337114/1548096071*c_1001_2^5 - 714963519600/1548096071*c_1001_2^4 - 220702640334/1548096071*c_1001_2^3 + 397136455046/1548096071*c_1001_2^2 - 117493087812/1548096071*c_1001_2 + 17212029577/1548096071, c_1001_2^13 + 10*c_1001_2^12 + 34*c_1001_2^11 + 33*c_1001_2^10 - 47*c_1001_2^9 - 62*c_1001_2^8 + 130*c_1001_2^7 + 63*c_1001_2^6 - 156*c_1001_2^5 + 8*c_1001_2^4 + 79*c_1001_2^3 - 44*c_1001_2^2 + 10*c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB