Magma V2.19-8 Tue Aug 20 2013 23:53:12 on localhost [Seed = 425685747] Type ? for help. Type -D to quit. Loading file "L13n4849__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4849 geometric_solution 11.40698088 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1230 0132 0132 1 1 0 1 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 1 -2 1 -1 0 1 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.847959707478 0.978023170135 0 4 0 5 0132 0132 3012 0132 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 0 0 0 0 0 0 0 0 0 0 1 -1 0 1 0 -1 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 0.493926100065 0.583697545499 6 7 6 0 0132 0132 2310 0132 1 1 1 1 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 0 -2 2 0 0 1 -1 -1 0 0 1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603291548947 0.654296151025 8 7 0 9 0132 0321 0132 0132 1 1 1 0 0 0 1 -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 0 -1 1 0 0 0 0 0 1 0 -1 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.218260393775 0.721686476233 10 1 11 9 0132 0132 0132 3120 1 1 0 1 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 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562735070735 0.665518070941 6 11 1 11 2103 2103 0132 3120 1 1 1 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 0 0 0 0 0 0 0 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 0 0 0 0.669059924772 0.699496401502 2 2 5 10 0132 3201 2103 2103 1 1 1 1 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 0 0 0 0 0 2 -2 0 0 0 0 0 -2 2 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417334033154 0.973003898229 9 2 8 3 3201 0132 1230 0321 1 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 0 0 0 0 0 0 0 -3 0 0 3 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.804306057893 0.674071108353 3 10 11 7 0132 1230 3120 3012 1 1 0 1 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 0 0 0 0 0 0 0 -2 2 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.270589122651 1.253435904110 4 10 3 7 3120 0132 0132 2310 1 1 0 1 0 -1 1 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 2 -1 -1 0 0 0 0 -3 0 0 3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.937670242779 0.690229135160 4 9 8 6 0132 0132 3012 2103 1 1 1 0 0 1 -1 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 -2 2 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 0.625351628477 0.474072969000 5 5 8 4 3120 2103 3120 0132 1 1 1 1 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 2 -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 0.371302812741 0.619914955295 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_5'], 'c_1001_10' : d['c_0011_3'], 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : d['c_0011_11'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0101_11'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_2'], 'c_1001_8' : negation(d['c_0011_5']), 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : d['1'], 's_2_11' : 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' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : negation(d['c_0101_8']), 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : negation(d['c_0101_4']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : negation(d['c_0011_2']), 's_3_11' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_2']), 'c_1100_11' : negation(d['c_0101_8']), 'c_1100_10' : d['c_0011_5'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_1001_2']), 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_2'], 'c_1010_2' : d['c_0101_11'], 'c_1010_1' : d['c_0011_11'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : d['c_0101_10'], 'c_1100_8' : negation(d['c_0101_11']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_0'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_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' : d['c_0011_2'], 'c_0110_11' : d['c_0101_4'], 'c_0110_10' : d['c_0101_4'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0011_5'])})} 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_11, c_0011_2, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_4, c_0101_8, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 19648292632884/80992891117*c_1001_2^7 + 3525833360274/2612673907*c_1001_2^6 + 787503800245383/80992891117*c_1001_2^5 + 1235937561132660/80992891117*c_1001_2^4 + 734345650679500/80992891117*c_1001_2^3 - 357148831704631/80992891117*c_1001_2^2 + 174604624626334/80992891117*c_1001_2 - 42448786261923/80992891117, c_0011_0 - 1, c_0011_11 - 3232584132/2612673907*c_1001_2^7 - 18007830250/2612673907*c_1001_2^6 - 129766391953/2612673907*c_1001_2^5 - 204630067267/2612673907*c_1001_2^4 - 124658110574/2612673907*c_1001_2^3 + 56166183129/2612673907*c_1001_2^2 - 31344013476/2612673907*c_1001_2 + 6445064747/2612673907, c_0011_2 - 893782240/2612673907*c_1001_2^7 - 5304151592/2612673907*c_1001_2^6 - 37699166960/2612673907*c_1001_2^5 - 69729587516/2612673907*c_1001_2^4 - 55642958553/2612673907*c_1001_2^3 + 414615107/2612673907*c_1001_2^2 - 4778961417/2612673907*c_1001_2 - 269631176/2612673907, c_0011_3 + 61313824/137509153*c_1001_2^7 + 350044064/137509153*c_1001_2^6 + 2518339908/137509153*c_1001_2^5 + 4278379818/137509153*c_1001_2^4 + 3305817667/137509153*c_1001_2^3 - 26329996/137509153*c_1001_2^2 + 955383522/137509153*c_1001_2 - 158726388/137509153, c_0011_5 - 2477342124/2612673907*c_1001_2^7 - 14070717782/2612673907*c_1001_2^6 - 101006830835/2612673907*c_1001_2^5 - 167983239013/2612673907*c_1001_2^4 - 114855752625/2612673907*c_1001_2^3 + 28870506540/2612673907*c_1001_2^2 - 20261898914/2612673907*c_1001_2 + 3152663776/2612673907, c_0101_0 - 1, c_0101_1 + 307445228/2612673907*c_1001_2^7 + 2350361634/2612673907*c_1001_2^6 + 16067079025/2612673907*c_1001_2^5 + 46021065868/2612673907*c_1001_2^4 + 59198515696/2612673907*c_1001_2^3 + 30211061699/2612673907*c_1001_2^2 - 1031456246/2612673907*c_1001_2 + 896325566/2612673907, c_0101_10 - 1530528276/2612673907*c_1001_2^7 - 9698873074/2612673907*c_1001_2^6 - 68052810685/2612673907*c_1001_2^5 - 144361875103/2612673907*c_1001_2^4 - 136165431510/2612673907*c_1001_2^3 - 21534942112/2612673907*c_1001_2^2 + 6870818681/2612673907*c_1001_2 - 3429283852/2612673907, c_0101_11 + 615021968/2612673907*c_1001_2^7 + 3348568372/2612673907*c_1001_2^6 + 24177994210/2612673907*c_1001_2^5 + 35451223039/2612673907*c_1001_2^4 + 15890922545/2612673907*c_1001_2^3 - 16487702226/2612673907*c_1001_2^2 + 4505096480/2612673907*c_1001_2 + 239948212/2612673907, c_0101_4 - 1385969932/2612673907*c_1001_2^7 - 7388465266/2612673907*c_1001_2^6 - 53634284417/2612673907*c_1001_2^5 - 73572643500/2612673907*c_1001_2^4 - 26408399292/2612673907*c_1001_2^3 + 45923866230/2612673907*c_1001_2^2 - 14129235688/2612673907*c_1001_2 + 4235904880/2612673907, c_0101_8 + 1677709204/2612673907*c_1001_2^7 + 9636042474/2612673907*c_1001_2^6 + 69004634353/2612673907*c_1001_2^5 + 118119117161/2612673907*c_1001_2^4 + 84891796190/2612673907*c_1001_2^3 - 13572317116/2612673907*c_1001_2^2 + 11943080889/2612673907*c_1001_2 - 2156127193/2612673907, c_1001_2^8 + 11/2*c_1001_2^7 + 159/4*c_1001_2^6 + 121/2*c_1001_2^5 + 137/4*c_1001_2^4 - 19*c_1001_2^3 + 45/4*c_1001_2^2 - 11/4*c_1001_2 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB