Magma V2.19-8 Tue Aug 20 2013 23:39:43 on localhost [Seed = 2050760253] Type ? for help. Type -D to quit. Loading file "K14n14941__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n14941 geometric_solution 9.77177727 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 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 0 1 -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 0.347905622488 0.922828924143 0 5 7 6 0132 0132 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 0 -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 -0.260345747955 1.234279192507 6 0 8 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603275228437 0.500583426871 8 4 9 0 0132 2103 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 0 1 -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 0.506544284437 1.022947762884 9 3 0 8 0213 2103 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.372486171308 0.279009051550 6 1 7 10 1023 0132 0213 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 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 0.132779330578 0.543715966131 2 5 1 9 0132 1023 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.542238478724 1.749957626108 10 5 10 1 3120 0213 2310 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 1 0 -1 0 0 0 0 0 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.397006492636 0.470251792275 3 2 2 4 0132 1230 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.685105523566 0.456618050610 4 10 6 3 0213 3012 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428412359300 0.534340327643 9 7 5 7 1230 3201 0132 3120 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 3 -1 -2 0 0 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 0.397006492636 0.470251792275 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_7']), 'c_1001_5' : d['c_0011_7'], 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : d['c_0011_7'], 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_4']), 's_2_0' : d['1'], 's_2_1' : 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' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_2'], 'c_1100_8' : negation(d['c_1001_0']), 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_1001_0']), 'c_1100_10' : negation(d['c_0101_7']), 'c_1010_7' : negation(d['c_0101_7']), 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_7'], 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : d['c_0101_2'], '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' : 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' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : d['c_0101_2'], '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' : d['c_0011_9'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0011_9'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_9'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_4'], 'c_0101_8' : d['c_0101_0'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_9'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : d['c_0011_9'], 'c_0011_10' : d['c_0011_10']})} 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_4, c_0011_7, c_0011_9, c_0101_0, c_0101_2, c_0101_3, c_0101_7, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 7620771817643247/10290245488193*c_1001_0^9 + 8161325945420751/10290245488193*c_1001_0^8 - 94536303700303152/10290245488193*c_1001_0^7 + 74213971535497217/10290245488193*c_1001_0^6 + 102138819362128657/10290245488193*c_1001_0^5 - 67998007477887724/10290245488193*c_1001_0^4 - 59719602786143513/10290245488193*c_1001_0^3 + 9708343586733246/10290245488193*c_1001_0^2 + 6121365450734682/10290245488193*c_1001_0 - 1239049624437408/10290245488193, c_0011_0 - 1, c_0011_10 + 122040/147067*c_1001_0^9 + 26478/147067*c_1001_0^8 - 1634472/147067*c_1001_0^7 + 2398652/147067*c_1001_0^6 + 625123/147067*c_1001_0^5 - 102390/8651*c_1001_0^4 - 552230/147067*c_1001_0^3 + 322100/147067*c_1001_0^2 + 115078/147067*c_1001_0 + 96253/147067, c_0011_3 - 1120608/147067*c_1001_0^9 - 1015380/147067*c_1001_0^8 + 14054751/147067*c_1001_0^7 - 13207004/147067*c_1001_0^6 - 12591292/147067*c_1001_0^5 + 11573122/147067*c_1001_0^4 + 6774300/147067*c_1001_0^3 - 1867440/147067*c_1001_0^2 - 744418/147067*c_1001_0 + 123428/147067, c_0011_4 - 298980/147067*c_1001_0^9 - 31335/147067*c_1001_0^8 + 3788170/147067*c_1001_0^7 - 6690048/147067*c_1001_0^6 + 1675931/147067*c_1001_0^5 + 3624419/147067*c_1001_0^4 - 2327187/147067*c_1001_0^3 - 258069/147067*c_1001_0^2 + 846202/147067*c_1001_0 - 6350/147067, c_0011_7 - 811872/147067*c_1001_0^9 - 699477/147067*c_1001_0^8 + 10310578/147067*c_1001_0^7 - 9956691/147067*c_1001_0^6 - 9945399/147067*c_1001_0^5 + 10077725/147067*c_1001_0^4 + 5565425/147067*c_1001_0^3 - 2813391/147067*c_1001_0^2 - 830182/147067*c_1001_0 + 233417/147067, c_0011_9 + 689832/147067*c_1001_0^9 + 672999/147067*c_1001_0^8 - 8676106/147067*c_1001_0^7 + 7558039/147067*c_1001_0^6 + 9320276/147067*c_1001_0^5 - 8337095/147067*c_1001_0^4 - 5013195/147067*c_1001_0^3 + 2491291/147067*c_1001_0^2 + 715104/147067*c_1001_0 - 476737/147067, c_0101_0 + 505035/147067*c_1001_0^9 + 616518/147067*c_1001_0^8 - 6353928/147067*c_1001_0^7 + 3742461/147067*c_1001_0^6 + 9388406/147067*c_1001_0^5 - 4863664/147067*c_1001_0^4 - 5979773/147067*c_1001_0^3 + 995664/147067*c_1001_0^2 + 1030941/147067*c_1001_0 - 88307/147067, c_0101_2 + 316593/147067*c_1001_0^9 + 367527/147067*c_1001_0^8 - 3912653/147067*c_1001_0^7 + 2774495/147067*c_1001_0^6 + 4878817/147067*c_1001_0^5 - 3085039/147067*c_1001_0^4 - 3121714/147067*c_1001_0^3 + 613707/147067*c_1001_0^2 + 706746/147067*c_1001_0 - 41471/147067, c_0101_3 - 17613/147067*c_1001_0^9 - 19776/8651*c_1001_0^8 + 124483/147067*c_1001_0^7 + 3915553/147067*c_1001_0^6 - 6554748/147067*c_1001_0^5 - 539380/147067*c_1001_0^4 + 5448901/147067*c_1001_0^3 - 355638/147067*c_1001_0^2 - 1552948/147067*c_1001_0 - 5838/8651, c_0101_7 + 2465055/147067*c_1001_0^9 + 3033258/147067*c_1001_0^8 - 30295498/147067*c_1001_0^7 + 19027725/147067*c_1001_0^6 + 38482106/147067*c_1001_0^5 - 18912406/147067*c_1001_0^4 - 22676752/147067*c_1001_0^3 + 1144476/147067*c_1001_0^2 + 2132508/147067*c_1001_0 - 297073/147067, c_1001_0^10 + 5/3*c_1001_0^9 - 106/9*c_1001_0^8 + 7/3*c_1001_0^7 + 58/3*c_1001_0^6 - c_1001_0^5 - 40/3*c_1001_0^4 - 10/3*c_1001_0^3 + 5/3*c_1001_0^2 + 1/3*c_1001_0 - 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.310 Total time: 0.530 seconds, Total memory usage: 32.09MB