Magma V2.19-8 Wed Aug 21 2013 00:59:52 on localhost [Seed = 2295239613] Type ? for help. Type -D to quit. Loading file "L13n7854__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n7854 geometric_solution 11.98379141 oriented_manifold CS_known 0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 0 1 2 0 3012 0132 0132 1230 2 2 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 0 0 0 0 0 0 0 0 -1 0 1 -1 0 0 1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.184898218769 0.616741326036 2 0 3 3 2310 0132 2103 0132 2 1 2 2 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 1 -4 3 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 0.382949826452 1.171684525115 4 5 1 0 0132 0132 3201 0132 2 2 2 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 0 0 -1 -4 5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.382949826452 1.171684525115 1 5 1 6 2103 0213 0132 0132 2 1 2 2 0 0 1 -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 -3 3 1 0 0 -1 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.747975625413 0.771101171112 2 7 8 5 0132 0132 0132 1023 2 2 1 2 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 4 -4 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657568121050 1.280200137575 8 2 3 4 0132 0132 0213 1023 2 2 1 2 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 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.351395039024 0.370536360524 9 7 3 10 0132 0321 0132 0132 2 1 2 2 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 0 0 -3 3 -5 0 1 4 0 -4 0 4 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.380775172800 0.567713173321 11 4 8 6 0132 0132 1023 0321 2 2 2 1 0 0 0 0 1 0 0 -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 0 0 -4 0 0 4 -3 -1 0 4 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.464672965886 0.417354731531 5 12 7 4 0132 0132 1023 0132 2 2 2 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 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.814459499145 1.185175920798 6 11 12 10 0132 0213 1230 2103 0 1 2 2 0 0 -1 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 -1 -1 2 5 0 -5 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.238449654400 1.135426346642 11 12 6 9 3201 0213 0132 2103 2 1 0 2 0 -1 1 0 -1 0 1 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 3 -3 0 4 0 -4 0 1 1 0 -2 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592569047782 0.607455357690 7 12 9 10 0132 1023 0213 2310 0 2 1 2 0 0 0 0 -1 0 0 1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 4 0 0 -4 4 0 0 -4 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.177147533270 0.843523875191 11 8 10 9 1023 0132 0213 3012 2 0 1 2 0 0 1 -1 0 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 -3 3 0 0 -1 1 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592569047782 0.607455357690 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_10'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_10'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_0'], 'c_1001_2' : negation(d['c_0101_1']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : negation(d['c_0110_10']), 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : negation(d['1']), 's_0_11' : negation(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' : negation(d['c_0011_6']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0110_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_1001_6'], 'c_1100_4' : negation(d['c_1001_6']), 'c_1100_7' : d['c_1001_6'], 'c_1100_6' : negation(d['c_0101_6']), 'c_1100_1' : negation(d['c_0101_6']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_0011_0'], 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0101_6']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : d['c_1001_6'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_1001_10'], 'c_1100_8' : negation(d['c_1001_6']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0011_10']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(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_6']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : negation(d['c_0011_11']), '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_11']), 'c_0110_11' : negation(d['c_0101_10']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0110_10']), 'c_0101_12' : d['c_0011_10'], 'c_0110_0' : d['c_0011_0'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : d['c_0011_3'], 'c_0110_1' : d['c_0101_1'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0101_10']})} 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_1, c_0101_10, c_0101_6, c_0101_8, c_0110_10, c_1001_0, c_1001_10, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 5880886262421287629931/44814843817177872620000*c_1001_6^9 - 31668392190321400707449/44814843817177872620000*c_1001_6^8 + 104627528957071886760569/44814843817177872620000*c_1001_6^7 + 2384979602567849899046/280092773857361703875*c_1001_6^6 - 33924979965927370596597/896296876343557452400*c_1001_6^5 + 416598995639740924132839/22407421908588936310000*c_1001_6^4 + 72696440373172091453463/1400463869286808519375*c_1001_6^3 - 459710376386820329465223/8962968763435574524000*c_1001_6^2 + 3655933285569306219503/22407421908588936310000*c_1001_6 + 331807023407143157840229/44814843817177872620000, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 662607/5639831*c_1001_6^9 - 2912583/5639831*c_1001_6^8 + 14911940/5639831*c_1001_6^7 + 30023815/5639831*c_1001_6^6 - 222385958/5639831*c_1001_6^5 + 291030268/5639831*c_1001_6^4 + 12486771/5639831*c_1001_6^3 - 187567532/5639831*c_1001_6^2 + 37130873/5639831*c_1001_6 + 26942630/5639831, c_0011_3 + 549727374/8668420247*c_1001_6^9 + 2354745039/8668420247*c_1001_6^8 - 12572372631/8668420247*c_1001_6^7 - 23191630140/8668420247*c_1001_6^6 + 185777650222/8668420247*c_1001_6^5 - 266242962394/8668420247*c_1001_6^4 + 37782022990/8668420247*c_1001_6^3 + 135850487969/8668420247*c_1001_6^2 - 49864617685/8668420247*c_1001_6 - 15612353914/8668420247, c_0011_6 - 495605892/8668420247*c_1001_6^9 - 2589104160/8668420247*c_1001_6^8 + 8981810334/8668420247*c_1001_6^7 + 29507987465/8668420247*c_1001_6^6 - 142810809480/8668420247*c_1001_6^5 + 104865605025/8668420247*c_1001_6^4 + 103412336677/8668420247*c_1001_6^3 - 118509619723/8668420247*c_1001_6^2 - 21012962206/8668420247*c_1001_6 + 40216936666/8668420247, c_0101_1 - 1, c_0101_10 + 1320340407/8668420247*c_1001_6^9 + 6811002555/8668420247*c_1001_6^8 - 24155269969/8668420247*c_1001_6^7 - 76040134708/8668420247*c_1001_6^6 + 380443349590/8668420247*c_1001_6^5 - 315929839168/8668420247*c_1001_6^4 - 185845188784/8668420247*c_1001_6^3 + 229382859667/8668420247*c_1001_6^2 + 29720417984/8668420247*c_1001_6 - 39017251857/8668420247, c_0101_6 + 662607/5639831*c_1001_6^9 + 2912583/5639831*c_1001_6^8 - 14911940/5639831*c_1001_6^7 - 30023815/5639831*c_1001_6^6 + 222385958/5639831*c_1001_6^5 - 291030268/5639831*c_1001_6^4 - 12486771/5639831*c_1001_6^3 + 187567532/5639831*c_1001_6^2 - 37130873/5639831*c_1001_6 - 26942630/5639831, c_0101_8 + 1626441389/8668420247*c_1001_6^9 + 7191523939/8668420247*c_1001_6^8 - 36425969974/8668420247*c_1001_6^7 - 74633710871/8668420247*c_1001_6^6 + 544502563808/8668420247*c_1001_6^5 - 700439947347/8668420247*c_1001_6^4 - 57507021039/8668420247*c_1001_6^3 + 471799181031/8668420247*c_1001_6^2 - 67944235541/8668420247*c_1001_6 - 82157855652/8668420247, c_0110_10 - 1587241633/8668420247*c_1001_6^9 - 8079719468/8668420247*c_1001_6^8 + 29521040434/8668420247*c_1001_6^7 + 89122060710/8668420247*c_1001_6^6 - 461834940403/8668420247*c_1001_6^5 + 413742859530/8668420247*c_1001_6^4 + 170447226191/8668420247*c_1001_6^3 - 253896530946/8668420247*c_1001_6^2 - 15130703771/8668420247*c_1001_6 + 30760824774/8668420247, c_1001_0 + 468699585/8668420247*c_1001_6^9 + 2121895032/8668420247*c_1001_6^8 - 10347279149/8668420247*c_1001_6^7 - 22954973515/8668420247*c_1001_6^6 + 156029567224/8668420247*c_1001_6^5 - 181070559522/8668420247*c_1001_6^4 - 56974190017/8668420247*c_1001_6^3 + 152440808715/8668420247*c_1001_6^2 - 7205534116/8668420247*c_1001_6 - 25798468396/8668420247, c_1001_10 + 1009386555/8668420247*c_1001_6^9 + 4687705529/8668420247*c_1001_6^8 - 21039192271/8668420247*c_1001_6^7 - 48069084913/8668420247*c_1001_6^6 + 319066604174/8668420247*c_1001_6^5 - 396561313011/8668420247*c_1001_6^4 + 10008969555/8668420247*c_1001_6^3 + 215877533206/8668420247*c_1001_6^2 - 55356562012/8668420247*c_1001_6 - 17819317899/8668420247, c_1001_6^10 + 4*c_1001_6^9 - 24*c_1001_6^8 - 35*c_1001_6^7 + 350*c_1001_6^6 - 588*c_1001_6^5 + 214*c_1001_6^4 + 265*c_1001_6^3 - 201*c_1001_6^2 - 9*c_1001_6 + 25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB