Magma V2.19-8 Tue Aug 20 2013 23:38:27 on localhost [Seed = 1999704911] Type ? for help. Type -D to quit. Loading file "K11n143__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n143 geometric_solution 9.31376810 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 1 3 0132 0132 3012 0132 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 -1 0 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 0.582810346728 1.090435745086 0 0 4 3 0132 1230 0132 3201 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.306060063987 0.799969105889 5 0 3 4 0132 0132 0132 2031 0 0 0 0 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 0 -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 0.673376822114 0.532271070561 6 1 0 2 0132 2310 0132 0132 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 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 -0.551619152914 0.289925903283 5 2 6 1 1023 1302 2310 0132 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 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428376776276 0.584704103069 2 4 7 8 0132 1023 0132 0132 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.874162012457 0.493334898972 3 4 9 7 0132 3201 0132 2310 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 0 0 0 0 0.230205710501 2.574474358049 6 10 8 5 3201 0132 2310 0132 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 0 0 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 0 0 -0.088115277205 0.808501160963 9 7 5 9 0132 3201 0132 3201 0 0 0 0 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 -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 0.396897716039 1.503007512371 8 8 10 6 0132 2310 3201 0132 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 -1 0 1 1 0 -1 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 0.053632061019 0.504060276704 9 7 10 10 2310 0132 2031 1302 0 0 0 0 0 0 0 0 1 0 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 -1 1 0 1 -2 1 0 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.081191579514 0.934929591402 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_4'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : d['c_0101_1'], 'c_1010_10' : negation(d['c_0101_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], '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' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : 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' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : negation(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_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_0011_8'], 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_1001_1']), 'c_1100_10' : d['c_0101_10'], 'c_1010_7' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : negation(d['c_0101_4']), 'c_1010_8' : d['c_0101_10'], 'c_1100_8' : d['c_0011_8'], 's_3_1' : d['1'], 's_3_0' : 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' : d['1'], 's_3_8' : d['1'], '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' : 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' : negation(d['c_0011_8']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), '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_10' : negation(d['c_0101_4']), 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_4'], 'c_0101_8' : d['c_0101_2'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_5'], '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_8, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_4, c_0101_5, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 528613342251381654518717/173256733578925567459840464*c_1001_1^12 + 667160451832263740793667/4812687043859043540551124*c_1001_1^11 + 3788629193248656831249409/6416916058478724720734832*c_1001_1^10 + 73527387794813859050920301/57752244526308522486613488*c_1001_1^9 - 145301527905953418250043335/173256733578925567459840464*c_1001_1^8 - 383339518230637204389713081/57752244526308522486613488*c_1001_1^7 - 2449689534985071069601509935/173256733578925567459840464*c_1001_1^6 - 108561443764777495160065837/43314183394731391864960116*c_1001_1^5 + 1620223407951241964094886735/86628366789462783729920232*c_1001_1^\ 4 + 1192894048171157621992459283/28876122263154261243306744*c_1001_\ 1^3 + 124511225467124148999669259/173256733578925567459840464*c_100\ 1_1^2 - 15248220792838656483189545/520290491228004707086608*c_1001_\ 1 - 9782718883340977755880856725/173256733578925567459840464, c_0011_0 - 1, c_0011_10 + 22197019735/1260645930931*c_1001_1^12 + 90192827885/1260645930931*c_1001_1^11 + 140591194847/1260645930931*c_1001_1^10 - 200790713080/1260645930931*c_1001_1^9 - 977145180351/1260645930931*c_1001_1^8 - 1348696883251/1260645930931*c_1001_1^7 + 56404318086/1260645930931*c_1001_1^6 + 2385045559697/1260645930931*c_1001_1^5 + 2587668549025/1260645930931*c_1001_1^4 + 802128737884/1260645930931*c_1001_1^3 - 4192517934562/1260645930931*c_1001_1^2 - 2934600543548/1260645930931*c_1001_1 - 4948787249261/1260645930931, c_0011_3 - 29435088003/1260645930931*c_1001_1^12 - 103178975865/1260645930931*c_1001_1^11 - 161003813649/1260645930931*c_1001_1^10 + 263792904362/1260645930931*c_1001_1^9 + 1132751094626/1260645930931*c_1001_1^8 + 1663192915913/1260645930931*c_1001_1^7 - 211482835628/1260645930931*c_1001_1^6 - 2970086179513/1260645930931*c_1001_1^5 - 3389393056606/1260645930931*c_1001_1^4 - 499583763991/1260645930931*c_1001_1^3 + 3627375596978/1260645930931*c_1001_1^2 + 3151271769484/1260645930931*c_1001_1 + 5939095782931/1260645930931, c_0011_8 - 3606965314/1260645930931*c_1001_1^12 + 12341676940/1260645930931*c_1001_1^11 + 20633799385/1260645930931*c_1001_1^10 + 56888540117/1260645930931*c_1001_1^9 - 215337056680/1260645930931*c_1001_1^8 - 101070832260/1260645930931*c_1001_1^7 - 294837898848/1260645930931*c_1001_1^6 + 1023929005360/1260645930931*c_1001_1^5 - 347518682810/1260645930931*c_1001_1^4 + 1202300917849/1260645930931*c_1001_1^3 - 1918711715166/1260645930931*c_1001_1^2 + 500837165923/1260645930931*c_1001_1 - 2280349835923/1260645930931, c_0101_0 - 7536889965/1260645930931*c_1001_1^12 - 17441379480/1260645930931*c_1001_1^11 - 24677820598/1260645930931*c_1001_1^10 + 98333884834/1260645930931*c_1001_1^9 + 163034158900/1260645930931*c_1001_1^8 + 198427037832/1260645930931*c_1001_1^7 - 399876870679/1260645930931*c_1001_1^6 - 84910603719/1260645930931*c_1001_1^5 - 213085244137/1260645930931*c_1001_1^4 + 758565398044/1260645930931*c_1001_1^3 - 313197180957/1260645930931*c_1001_1^2 + 424615812855/1260645930931*c_1001_1 + 124405995/1260645930931, c_0101_1 + 22197019735/1260645930931*c_1001_1^12 + 90192827885/1260645930931*c_1001_1^11 + 140591194847/1260645930931*c_1001_1^10 - 200790713080/1260645930931*c_1001_1^9 - 977145180351/1260645930931*c_1001_1^8 - 1348696883251/1260645930931*c_1001_1^7 + 56404318086/1260645930931*c_1001_1^6 + 2385045559697/1260645930931*c_1001_1^5 + 2587668549025/1260645930931*c_1001_1^4 + 802128737884/1260645930931*c_1001_1^3 - 2931872003631/1260645930931*c_1001_1^2 - 1673954612617/1260645930931*c_1001_1 - 4948787249261/1260645930931, c_0101_10 - 6177174403/1260645930931*c_1001_1^12 - 32384023685/1260645930931*c_1001_1^11 - 54139285898/1260645930931*c_1001_1^10 + 35157592883/1260645930931*c_1001_1^9 + 322552429805/1260645930931*c_1001_1^8 + 437687382836/1260645930931*c_1001_1^7 + 222236481317/1260645930931*c_1001_1^6 - 648020295506/1260645930931*c_1001_1^5 - 426960642991/1260645930931*c_1001_1^4 - 808882883767/1260645930931*c_1001_1^3 + 1813687933962/1260645930931*c_1001_1^2 - 50719368968/1260645930931*c_1001_1 + 2712017526737/1260645930931, c_0101_2 + 23601768680/1260645930931*c_1001_1^12 + 31010845117/1260645930931*c_1001_1^11 + 6391540972/1260645930931*c_1001_1^10 - 356646163236/1260645930931*c_1001_1^9 - 172731149307/1260645930931*c_1001_1^8 - 115850519210/1260645930931*c_1001_1^7 + 1642357167323/1260645930931*c_1001_1^6 - 576540825028/1260645930931*c_1001_1^5 + 948125116059/1260645930931*c_1001_1^4 - 3750125706402/1260645930931*c_1001_1^3 + 2102257537686/1260645930931*c_1001_1^2 - 2738263408253/1260645930931*c_1001_1 + 3397292171099/1260645930931, c_0101_4 - 24265797588/1260645930931*c_1001_1^12 - 77466166258/1260645930931*c_1001_1^11 - 109958419308/1260645930931*c_1001_1^10 + 246296019391/1260645930931*c_1001_1^9 + 763133964753/1260645930931*c_1001_1^8 + 1062287914921/1260645930931*c_1001_1^7 - 424942271286/1260645930931*c_1001_1^6 - 1383859536119/1260645930931*c_1001_1^5 - 2014855006549/1260645930931*c_1001_1^4 + 495977420541/1260645930931*c_1001_1^3 + 1033050731441/1260645930931*c_1001_1^2 + 2257056244459/1260645930931*c_1001_1 + 3105349562086/1260645930931, c_0101_5 + 5169290415/1260645930931*c_1001_1^12 + 25712809607/1260645930931*c_1001_1^11 + 51045394341/1260645930931*c_1001_1^10 - 17496884971/1260645930931*c_1001_1^9 - 369617129873/1260645930931*c_1001_1^8 - 600905000992/1260645930931*c_1001_1^7 - 213459435658/1260645930931*c_1001_1^6 + 1586226643394/1260645930931*c_1001_1^5 + 1374538050057/1260645930931*c_1001_1^4 + 995561184532/1260645930931*c_1001_1^3 - 2594324865537/1260645930931*c_1001_1^2 - 894215525025/1260645930931*c_1001_1 - 2833746220845/1260645930931, c_1001_1^13 + 4*c_1001_1^12 + 9*c_1001_1^11 - 3*c_1001_1^10 - 37*c_1001_1^9 - 97*c_1001_1^8 - 53*c_1001_1^7 + 36*c_1001_1^6 + 250*c_1001_1^5 + 110*c_1001_1^4 + 73*c_1001_1^3 - 359*c_1001_1^2 - 175*c_1001_1 - 376 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.220 Total time: 0.430 seconds, Total memory usage: 32.09MB