Magma V2.19-8 Tue Aug 20 2013 23:40:45 on localhost [Seed = 1031494059] Type ? for help. Type -D to quit. Loading file "K12n411__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n411 geometric_solution 11.55642272 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1230 0 0 0 0 0 0 0 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 1 0 -1 0 0 -2 2 -1 1 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414584929131 0.912486798906 0 4 6 5 0132 0132 0132 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 -1 1 0 0 0 0 0 0 3 0 -3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.550433491585 0.575361384434 0 0 7 4 3012 0132 0132 0132 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 -1 0 1 1 0 -1 0 -2 2 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498080210721 0.776357903469 8 5 6 0 0132 0132 3120 0132 0 0 0 0 0 0 0 0 0 0 -1 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 -3 2 2 0 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.668956293410 0.946762852080 6 1 2 9 0321 0132 0132 0132 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 1 -1 0 0 0 0 0 0 1 0 -1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.829250332987 0.870294485565 9 3 1 10 0132 0132 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 1 -1 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.628215187729 0.721273889831 4 11 3 1 0321 0132 3120 0132 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 1 -1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.119302927054 1.307568793652 10 11 8 2 3120 2310 0132 0132 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 -1 1 -2 3 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.366614378162 0.853326901317 3 10 9 7 0132 0132 0132 0132 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 -1 0 0 1 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.350893870851 0.860245075018 5 11 4 8 0132 0213 0132 0132 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 3 -3 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.266286315772 1.010705256814 11 8 5 7 0213 0132 0132 3120 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 0.633385621838 0.853326901317 10 6 9 7 0213 0132 0213 3201 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 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.425024223434 0.989280904327 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_0']), 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : negation(d['c_1001_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0011_7']), 'c_1010_11' : negation(d['c_1001_10']), '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_11' : d['c_0011_10'], 'c_0101_10' : d['c_0011_11'], '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_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' : 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' : negation(d['c_0101_3']), 'c_1100_4' : d['c_1100_2'], 'c_1100_7' : d['c_1100_2'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_1100_2'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_7']), 'c_1100_10' : negation(d['c_0101_3']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : d['c_1001_10'], '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_10'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_2']), 'c_0110_10' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_2'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : d['c_1100_2']})} 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_7, c_0101_0, c_0101_2, c_0101_3, c_0101_4, c_1001_0, c_1001_1, c_1001_10, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 48583978954/482701197*c_1100_2^7 + 422229863519/1930804788*c_1100_2^6 - 2207606456467/1930804788*c_1100_2^5 - 134310506919/643601596*c_1100_2^4 - 4805923041743/965402394*c_1100_2^3 - 5140743289463/1930804788*c_1100_2^2 - 3042957237064/482701197*c_1100_2 + 10398343781/643601596, c_0011_0 - 1, c_0011_10 + 19297/150797*c_1100_2^7 - 122209/452391*c_1100_2^6 + 627287/452391*c_1100_2^5 + 200303/452391*c_1100_2^4 + 904310/150797*c_1100_2^3 + 1444019/452391*c_1100_2^2 + 3064303/452391*c_1100_2 - 130399/452391, c_0011_11 + 46403/452391*c_1100_2^7 - 93110/452391*c_1100_2^6 + 519814/452391*c_1100_2^5 + 156095/452391*c_1100_2^4 + 2406350/452391*c_1100_2^3 + 547065/150797*c_1100_2^2 + 1021757/150797*c_1100_2 + 504998/452391, c_0011_7 - 32171/452391*c_1100_2^7 + 70607/452391*c_1100_2^6 - 340360/452391*c_1100_2^5 - 96287/452391*c_1100_2^4 - 1468298/452391*c_1100_2^3 - 128633/150797*c_1100_2^2 - 456773/150797*c_1100_2 + 274507/452391, c_0101_0 + 83611/452391*c_1100_2^7 - 57937/150797*c_1100_2^6 + 304738/150797*c_1100_2^5 + 304319/452391*c_1100_2^4 + 3957562/452391*c_1100_2^3 + 2502139/452391*c_1100_2^2 + 4758287/452391*c_1100_2 + 13709/452391, c_0101_2 + 25720/452391*c_1100_2^7 - 51602/452391*c_1100_2^6 + 286927/452391*c_1100_2^5 + 34672/150797*c_1100_2^4 + 1244632/452391*c_1100_2^3 + 1058120/452391*c_1100_2^2 + 1693984/452391*c_1100_2 + 48036/150797, c_0101_3 - 46403/452391*c_1100_2^7 + 93110/452391*c_1100_2^6 - 519814/452391*c_1100_2^5 - 156095/452391*c_1100_2^4 - 2406350/452391*c_1100_2^3 - 547065/150797*c_1100_2^2 - 1172554/150797*c_1100_2 - 504998/452391, c_0101_4 + 11306/150797*c_1100_2^7 - 26459/150797*c_1100_2^6 + 140398/150797*c_1100_2^5 - 15299/150797*c_1100_2^4 + 612453/150797*c_1100_2^3 + 331217/150797*c_1100_2^2 + 794407/150797*c_1100_2 + 87831/150797, c_1001_0 + 2606/452391*c_1100_2^7 - 5972/150797*c_1100_2^6 + 31763/150797*c_1100_2^5 - 215117/452391*c_1100_2^4 + 430892/452391*c_1100_2^3 - 147010/452391*c_1100_2^2 + 918634/452391*c_1100_2 + 7894/452391, c_1001_1 + 13401/150797*c_1100_2^7 - 64489/452391*c_1100_2^6 + 421802/452391*c_1100_2^5 + 263291/452391*c_1100_2^4 + 759565/150797*c_1100_2^3 + 1830779/452391*c_1100_2^2 + 3283798/452391*c_1100_2 + 300701/452391, c_1001_10 - 13401/150797*c_1100_2^7 + 64489/452391*c_1100_2^6 - 421802/452391*c_1100_2^5 - 263291/452391*c_1100_2^4 - 759565/150797*c_1100_2^3 - 1830779/452391*c_1100_2^2 - 2831407/452391*c_1100_2 - 300701/452391, c_1100_2^8 - 2*c_1100_2^7 + 11*c_1100_2^6 + 4*c_1100_2^5 + 50*c_1100_2^4 + 35*c_1100_2^3 + 68*c_1100_2^2 + 11*c_1100_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.400 Total time: 0.610 seconds, Total memory usage: 32.09MB