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Loading file "K11n9__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n9 geometric_solution 10.31750456 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 -1 1 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 0.895664589797 0.582917643664 0 5 7 6 0132 0132 0132 0132 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 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.317084570410 0.926863978053 8 0 9 6 0132 0132 0132 1023 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 -1 0 -10 0 10 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 0.400545726399 0.675467904755 9 4 7 0 2031 0321 3120 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 1 -1 1 0 0 -1 1 0 0 -1 -10 1 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.753507419348 1.061221816250 10 5 0 3 0132 1230 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.619236718532 0.595212001215 6 1 4 9 0132 0132 3012 2031 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 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393762440612 0.492095628732 5 10 1 2 0132 2103 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.515232763105 0.699282323612 10 8 3 1 3120 0213 3120 0132 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 -9 9 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 0.086915062939 0.781972186619 2 10 7 9 0132 1230 0213 1230 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 0 0 0 0 10 0 0 -10 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.908684029803 1.381194478069 8 5 3 2 3012 1302 1302 0132 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 -1 1 0 0 10 -10 10 -9 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.787524881225 0.984191257463 4 6 8 7 0132 2103 3012 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.646465347658 0.682050747420 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_0011_9'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_0'], 'c_1001_8' : d['c_0101_7'], 'c_1010_10' : negation(d['c_0011_7']), '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_3']), 's_2_0' : d['1'], 's_2_1' : 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' : negation(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' : 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_0101_3'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_2']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : d['c_0101_3'], 'c_1100_10' : negation(d['c_0101_7']), 'c_1010_7' : d['c_0011_9'], 'c_1010_6' : d['c_0011_7'], 'c_1010_5' : d['c_0011_9'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_3']), 'c_1100_8' : d['c_0011_9'], 's_3_1' : 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' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_0']), '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_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_9'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : d['c_0011_7'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_9'], 'c_0110_8' : d['c_0011_9'], '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_0011_7'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_5']})} 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_7, c_0011_9, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_7, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 337461091789/106952872752*c_1001_2^10 + 3168312078203/106952872752*c_1001_2^9 + 166958473885/2970913132*c_1001_2^8 - 10908989060681/106952872752*c_1001_2^7 - 13721940345907/106952872752*c_1001_2^6 + 5258252714813/35650957584*c_1001_2^5 + 5086870773317/53476436376*c_1001_2^4 - 113951177339/1048557576*c_1001_2^3 + 506539142354/6684554547*c_1001_2^2 + 2565132399251/26738218188*c_1001_2 + 76466977717/13369109094, c_0011_0 - 1, c_0011_10 + 2863937/142985124*c_1001_2^10 + 28642561/142985124*c_1001_2^9 + 5738203/11915427*c_1001_2^8 - 48597619/142985124*c_1001_2^7 - 148651109/142985124*c_1001_2^6 + 10923037/47661708*c_1001_2^5 + 77759833/71492562*c_1001_2^4 - 1523345/3971809*c_1001_2^3 - 35028260/35746281*c_1001_2^2 + 46649803/35746281*c_1001_2 + 28538857/35746281, c_0011_3 - 5084279/285970248*c_1001_2^10 - 46939801/285970248*c_1001_2^9 - 3561382/11915427*c_1001_2^8 + 156738511/285970248*c_1001_2^7 + 140055353/285970248*c_1001_2^6 - 69953803/95323416*c_1001_2^5 - 22216165/142985124*c_1001_2^4 + 33308011/47661708*c_1001_2^3 - 38083334/35746281*c_1001_2^2 - 30369967/71492562*c_1001_2 - 17838986/35746281, c_0011_7 - 1290653/285970248*c_1001_2^10 - 21471421/285970248*c_1001_2^9 - 17617411/47661708*c_1001_2^8 - 78007499/285970248*c_1001_2^7 + 444896297/285970248*c_1001_2^6 + 73291517/95323416*c_1001_2^5 - 125981207/71492562*c_1001_2^4 - 46328873/47661708*c_1001_2^3 + 18223321/35746281*c_1001_2^2 - 18467665/71492562*c_1001_2 - 12046091/35746281, c_0011_9 - 1290653/285970248*c_1001_2^10 - 21471421/285970248*c_1001_2^9 - 17617411/47661708*c_1001_2^8 - 78007499/285970248*c_1001_2^7 + 444896297/285970248*c_1001_2^6 + 73291517/95323416*c_1001_2^5 - 125981207/71492562*c_1001_2^4 - 46328873/47661708*c_1001_2^3 + 18223321/35746281*c_1001_2^2 - 18467665/71492562*c_1001_2 - 12046091/35746281, c_0101_0 - 450464/35746281*c_1001_2^10 - 13352767/142985124*c_1001_2^9 + 1138859/47661708*c_1001_2^8 + 35683633/35746281*c_1001_2^7 + 10863629/142985124*c_1001_2^6 - 88590583/47661708*c_1001_2^5 - 17682857/142985124*c_1001_2^4 + 13645137/7943618*c_1001_2^3 - 22719385/35746281*c_1001_2^2 - 11894971/35746281*c_1001_2 + 50253515/35746281, c_0101_1 - 959357/95323416*c_1001_2^10 - 3975475/31774472*c_1001_2^9 - 21382225/47661708*c_1001_2^8 - 1317553/31774472*c_1001_2^7 + 170182633/95323416*c_1001_2^6 + 7165077/31774472*c_1001_2^5 - 33943069/11915427*c_1001_2^4 + 13959185/47661708*c_1001_2^3 + 38493337/23830854*c_1001_2^2 - 16243579/23830854*c_1001_2 - 8227378/11915427, c_0101_3 + 1152413/35746281*c_1001_2^10 + 38675881/142985124*c_1001_2^9 + 4343473/15887236*c_1001_2^8 - 57867232/35746281*c_1001_2^7 - 57840551/142985124*c_1001_2^6 + 117113329/47661708*c_1001_2^5 + 941699/142985124*c_1001_2^4 - 24429701/23830854*c_1001_2^3 + 33927535/35746281*c_1001_2^2 - 4824809/35746281*c_1001_2 - 15862733/35746281, c_0101_5 - 2828711/285970248*c_1001_2^10 - 21140815/285970248*c_1001_2^9 - 582717/15887236*c_1001_2^8 + 95786407/285970248*c_1001_2^7 - 161038993/285970248*c_1001_2^6 + 45412403/95323416*c_1001_2^5 + 55309219/71492562*c_1001_2^4 - 53659351/47661708*c_1001_2^3 - 26272345/71492562*c_1001_2^2 + 55370615/71492562*c_1001_2 - 36428168/35746281, c_0101_7 + 5084279/285970248*c_1001_2^10 + 46939801/285970248*c_1001_2^9 + 3561382/11915427*c_1001_2^8 - 156738511/285970248*c_1001_2^7 - 140055353/285970248*c_1001_2^6 + 69953803/95323416*c_1001_2^5 + 22216165/142985124*c_1001_2^4 - 33308011/47661708*c_1001_2^3 + 38083334/35746281*c_1001_2^2 + 30369967/71492562*c_1001_2 - 17907295/35746281, c_1001_2^11 + 9*c_1001_2^10 + 14*c_1001_2^9 - 41*c_1001_2^8 - 33*c_1001_2^7 + 65*c_1001_2^6 + 28*c_1001_2^5 - 50*c_1001_2^4 + 20*c_1001_2^3 + 28*c_1001_2^2 - 8*c_1001_2 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.400 seconds, Total memory usage: 32.09MB