Magma V2.19-8 Wed Aug 21 2013 00:50:36 on localhost [Seed = 1713402691] Type ? for help. Type -D to quit. Loading file "L10a132__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a132 geometric_solution 11.57189681 oriented_manifold CS_known 0.0000000000000002 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 2 2 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.514737002001 1.181472739436 0 5 2 6 0132 0132 1023 0132 2 2 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.314542893951 0.330933807896 7 0 1 5 0132 0132 1023 0132 2 2 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 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539787628942 1.347474803349 6 4 4 0 0132 2031 1230 0132 2 2 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 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 0.507469645913 0.307046511956 3 6 0 3 1302 2103 0132 3012 2 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 1 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 -0.101553679471 0.757609753776 8 1 2 7 0132 0132 0132 1023 2 2 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 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 0.829571067139 1.234173191967 3 4 1 9 0132 2103 0132 0132 2 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.514737002001 1.181472739436 2 10 9 5 0132 0132 0132 1023 2 2 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 0 0 0 0 0 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473140725586 0.426743784202 5 10 11 11 0132 1023 0213 0132 0 2 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 1 0 -1 0 0 0 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599030637818 0.609863462903 11 12 6 7 0132 0132 0132 0132 2 2 1 2 0 0 0 0 0 0 0 0 1 -1 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 0 0 0 -2 2 0 0 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.198061275636 1.219726925806 8 7 12 12 1023 0132 2103 0132 2 0 1 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 1 -1 -1 0 0 1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.180276015130 0.834547811876 9 8 8 12 0132 0213 0132 1023 0 2 2 1 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 1 -1 0 0 0 0 -2 0 0 2 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.752697448763 1.144832288739 10 9 10 11 2103 0132 0132 1023 2 0 2 1 0 0 0 0 -1 0 1 0 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 -1 1 0 0 0 -1 1 -1 3 0 -2 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435145317915 0.399396609707 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_1001_12'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : d['c_0101_3'], 'c_1010_11' : d['c_0110_12'], 'c_1010_10' : d['c_1001_12'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 'c_0101_12' : d['c_0101_10'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : 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' : negation(d['1']), 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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_1100_8' : d['c_0110_12'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_1100_1']), 'c_1100_4' : d['c_0110_4'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0110_4'], 'c_1100_3' : d['c_0110_4'], 'c_1100_2' : negation(d['c_1100_1']), 's_0_10' : d['1'], 'c_1100_9' : d['c_1100_1'], 'c_1100_11' : d['c_0110_12'], 'c_1100_10' : negation(d['c_0110_12']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : d['c_1001_12'], 'c_1010_8' : d['c_0101_10'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(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'], 'c_1100_12' : negation(d['c_0110_12']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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_3'], 'c_0110_10' : d['c_0101_10'], 'c_0110_12' : d['c_0110_12'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_3'], 'c_0101_8' : d['c_0011_11'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_3'], 's_2_9' : negation(d['1'])})} 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_11, c_0011_3, c_0011_4, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0110_12, c_0110_4, c_1001_12, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 612306826432585766443938800/211627089627469301867*c_1100_1^6 + 387561836493721516145739444/211627089627469301867*c_1100_1^5 + 4298963114206974274933691193/3386033434039508829872*c_1100_1^4 - 535338758825554482410898147/3386033434039508829872*c_1100_1^3 + 698366828786690704464993681/3386033434039508829872*c_1100_1^2 + 1392800826448605650456117883/3386033434039508829872*c_1100_1 + 597405639858667641302196009/3386033434039508829872, c_0011_0 - 1, c_0011_11 - 382675693763609600/15130270224313241*c_1100_1^6 - 217619206665339648/15130270224313241*c_1100_1^5 - 228301165509577564/15130270224313241*c_1100_1^4 + 31430815239343508/15130270224313241*c_1100_1^3 - 61038164855082856/15130270224313241*c_1100_1^2 - 37058843434481188/15130270224313241*c_1100_1 - 22850653135967350/15130270224313241, c_0011_3 + 369557360267948800/15130270224313241*c_1100_1^6 + 185921504595911744/15130270224313241*c_1100_1^5 + 116568467644210853/15130270224313241*c_1100_1^4 - 51373148583389273/15130270224313241*c_1100_1^3 + 24302402677622565/15130270224313241*c_1100_1^2 + 51525678996595494/15130270224313241*c_1100_1 + 16411023571713180/15130270224313241, c_0011_4 - 153379428074662400/15130270224313241*c_1100_1^6 - 110727528345232512/15130270224313241*c_1100_1^5 - 64846727768423910/15130270224313241*c_1100_1^4 + 22164986038870007/15130270224313241*c_1100_1^3 + 7894084645993257/15130270224313241*c_1100_1^2 - 17176984351314352/15130270224313241*c_1100_1 - 17808528489732620/15130270224313241, c_0101_0 - 1, c_0101_10 - 1, c_0101_11 + 311230525601113600/15130270224313241*c_1100_1^6 + 254117203692266368/15130270224313241*c_1100_1^5 + 183263356306205450/15130270224313241*c_1100_1^4 - 8699455786904661/15130270224313241*c_1100_1^3 + 30616937528709345/15130270224313241*c_1100_1^2 + 30527255079499855/15130270224313241*c_1100_1 + 20979682723063070/15130270224313241, c_0101_2 + 408116225911520000/15130270224313241*c_1100_1^6 + 234950887441684800/15130270224313241*c_1100_1^5 + 157082672459989661/15130270224313241*c_1100_1^4 - 41997058993287352/15130270224313241*c_1100_1^3 + 19936426090241645/15130270224313241*c_1100_1^2 + 34718887033449573/15130270224313241*c_1100_1 + 19391769443835620/15130270224313241, c_0101_3 - 99113227280096000/15130270224313241*c_1100_1^6 - 62029377873052480/15130270224313241*c_1100_1^5 - 42789402127259645/15130270224313241*c_1100_1^4 + 1124005866226714/15130270224313241*c_1100_1^3 - 14341869114599721/15130270224313241*c_1100_1^2 - 17789217284099403/15130270224313241*c_1100_1 - 189897073643876/15130270224313241, c_0110_12 - 71445168162496000/15130270224313241*c_1100_1^6 + 36497997026926720/15130270224313241*c_1100_1^5 - 45037809203372114/15130270224313241*c_1100_1^4 + 22731359452438847/15130270224313241*c_1100_1^3 - 30421227326373511/15130270224313241*c_1100_1^2 - 6531588354981333/15130270224313241*c_1100_1 - 1870970412904280/15130270224313241, c_0110_4 - 38558865643571200/15130270224313241*c_1100_1^6 - 49029382845773056/15130270224313241*c_1100_1^5 - 40514204815778808/15130270224313241*c_1100_1^4 - 9376089590101921/15130270224313241*c_1100_1^3 + 4365976587380920/15130270224313241*c_1100_1^2 + 1676521738832680/15130270224313241*c_1100_1 - 2980745872122440/15130270224313241, c_1001_12 - 454120861926105600/15130270224313241*c_1100_1^6 - 181121209638412928/15130270224313241*c_1100_1^5 - 273338974712949678/15130270224313241*c_1100_1^4 + 54162174691782355/15130270224313241*c_1100_1^3 - 91459392181456367/15130270224313241*c_1100_1^2 - 43590431789462521/15130270224313241*c_1100_1 - 24721623548871630/15130270224313241, c_1100_1^7 + 63/100*c_1100_1^6 + 2799/6400*c_1100_1^5 - 179/3200*c_1100_1^4 + 229/3200*c_1100_1^3 + 227/1600*c_1100_1^2 + 97/1600*c_1100_1 - 1/6400 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB