Magma V2.19-8 Tue Aug 20 2013 23:53:39 on localhost [Seed = 1031493304] Type ? for help. Type -D to quit. Loading file "L13n6856__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6856 geometric_solution 10.07007854 oriented_manifold CS_known 0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1230 2 0 1 0 0 1 -1 0 0 0 -1 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 -1 0 1 0 0 1 -1 1 -2 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429442677925 0.539413221763 0 4 4 5 0132 0132 1302 0132 2 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 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 0.096647358689 1.134680793704 0 0 4 5 3012 0132 0132 2031 2 2 0 1 0 -1 1 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 -1 0 0 1 1 -1 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.925474794037 0.874957381139 6 5 7 0 0132 2031 0132 0132 2 0 0 0 0 0 -1 1 -1 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.251047588012 0.558756509233 1 1 8 2 2031 0132 0132 0132 2 2 1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.925474794037 0.874957381139 3 2 1 8 1302 1302 0132 1230 2 0 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 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 0.117926288790 0.457392750831 3 9 9 10 0132 0132 1302 0132 2 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 0.048323679344 0.567340396852 10 10 8 3 0132 2310 0213 0132 2 0 0 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.980819544958 0.541768056447 5 7 11 4 3012 0213 0132 0132 2 2 0 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 0 -1 1 -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 0.333602340382 0.297633785970 6 6 11 11 2031 0132 1023 1230 2 2 0 0 0 0 0 0 0 0 0 0 -2 1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 -1 0 1 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.850949588075 1.749914762278 7 11 6 7 0132 2103 0132 3201 2 0 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.736277940659 1.348999470789 9 10 9 8 3012 2103 1023 0132 2 2 2 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 0 -1 1 0 0 1 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.775256637046 0.462168069729 ==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_0011_11'], 'c_1001_5' : d['c_0110_2'], 'c_1001_4' : d['c_0110_2'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0011_8']), 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_1001_7'], 'c_1010_11' : d['c_1001_7'], 'c_1010_10' : negation(d['c_1001_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_11'], '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_2_11' : 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' : 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_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_0101_8']), 'c_1100_7' : d['c_0110_2'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : negation(d['c_0101_8']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_8']), 'c_1100_10' : d['c_0011_10'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0101_8'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0110_2'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_0110_2'], 'c_1100_8' : negation(d['c_0101_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' : 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' : negation(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' : d['c_0011_3'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], '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_11' : d['c_0101_8'], 'c_0110_10' : d['c_0011_8'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_8'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : negation(d['c_0011_3']), 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : negation(d['c_0011_3']), 'c_1100_9' : d['c_0101_8'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_8'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_5, c_0011_8, c_0101_10, c_0101_2, c_0101_4, c_0101_8, c_0110_2, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 39834560850721773/40408054349*c_1001_7^4 + 117830782003360793/80816108698*c_1001_7^3 + 2013178488372490/3108311873*c_1001_7^2 + 3438601359658181/40408054349*c_1001_7 + 1636224467373365/80816108698, c_0011_0 - 1, c_0011_10 - 3796037562/84008429*c_1001_7^4 - 5215360003/84008429*c_1001_7^3 - 1606271568/84008429*c_1001_7^2 + 49692818/84008429*c_1001_7 - 45835414/84008429, c_0011_11 - 3008917717/84008429*c_1001_7^4 - 4661552792/84008429*c_1001_7^3 - 1897705937/84008429*c_1001_7^2 - 76828300/84008429*c_1001_7 - 34973449/84008429, c_0011_3 + 1, c_0011_5 - 1, c_0011_8 + 3005678430/84008429*c_1001_7^4 + 3116035898/84008429*c_1001_7^3 + 775275492/84008429*c_1001_7^2 - 43810857/84008429*c_1001_7 + 69289594/84008429, c_0101_10 - 2602261964/84008429*c_1001_7^4 - 1910537276/84008429*c_1001_7^3 + 132787456/84008429*c_1001_7^2 + 335578511/84008429*c_1001_7 + 44469576/84008429, c_0101_2 - 403416466/84008429*c_1001_7^4 - 1205498622/84008429*c_1001_7^3 - 908062948/84008429*c_1001_7^2 - 291767654/84008429*c_1001_7 - 29750741/84008429, c_0101_4 - 1, c_0101_8 + 1704547448/84008429*c_1001_7^4 + 2160767260/84008429*c_1001_7^3 + 841669220/84008429*c_1001_7^2 + 81974184/84008429*c_1001_7 + 7515953/84008429, c_0110_2 - 403416466/84008429*c_1001_7^4 - 1205498622/84008429*c_1001_7^3 - 908062948/84008429*c_1001_7^2 - 291767654/84008429*c_1001_7 - 113759170/84008429, c_1001_7^5 + 2537/1681*c_1001_7^4 + 1180/1681*c_1001_7^3 + 179/1681*c_1001_7^2 + 39/1681*c_1001_7 + 1/1681 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.230 seconds, Total memory usage: 32.09MB