Magma V2.19-8 Tue Aug 20 2013 23:52:12 on localhost [Seed = 4273509833] Type ? for help. Type -D to quit. Loading file "L13n1566__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n1566 geometric_solution 11.60318623 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 1302 0132 0 0 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.699962362162 0.623218240627 0 4 5 4 0132 0132 0132 1230 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.519423492880 0.595855997196 0 0 7 6 2031 0132 0132 0132 0 0 1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.203092469130 0.709534306670 8 9 0 9 0132 0132 0132 2310 0 0 0 0 0 0 1 -1 0 0 0 0 0 -1 0 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 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.766496394909 0.421344190497 1 1 10 7 3012 0132 0132 0132 0 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.820099019556 1.016822320394 6 9 10 1 3120 0213 3120 0132 0 0 0 0 0 0 0 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 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 0.805251277563 1.165202777320 8 8 2 5 3120 1230 0132 3120 0 0 0 1 0 0 -1 1 0 0 0 0 1 0 0 -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 1 0 0 -1 6 -7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.712950220761 0.744270839997 11 9 4 2 0132 0321 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 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 0.597002880274 0.848194781415 3 11 6 6 0132 0213 3012 3120 1 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 -1 7 -6 0 0 0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.712950220761 0.744270839997 3 3 5 7 3201 0132 0213 0321 0 0 0 0 0 0 0 0 -1 0 1 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 -1 0 1 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 0.716570766408 1.192651629925 11 11 5 4 3201 2103 3120 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.685704071915 0.918511857710 7 10 8 10 0132 2103 0213 2310 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 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 0.478097249714 0.699097299175 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_11'], 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0011_10'], 'c_1010_11' : negation(d['c_0101_4']), 'c_1010_10' : d['c_0101_4'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_3']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(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' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0101_5']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0101_5']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_10'], 's_3_1' : d['1'], 's_3_0' : negation(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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(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' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), '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_11']), 'c_0011_6' : negation(d['c_0011_10']), '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' : negation(d['c_0101_10']), 'c_0110_10' : d['c_0101_4'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0011_5'], 'c_0101_8' : negation(d['c_0011_5']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_1001_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_10']), 'c_0110_7' : negation(d['c_0011_3']), 'c_1100_8' : negation(d['c_0101_6'])})} 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_0101_1, c_0101_10, c_0101_4, c_0101_5, c_0101_6, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 6081286510537944543/1477043989250491000*c_1001_2^5 - 1240690183254116606227/998481736733331916000*c_1001_2^4 + 2895234518925390846823/249620434183332979000*c_1001_2^3 + 12120934921548496923/15361257488205106400*c_1001_2^2 - 5557043489420827273039/998481736733331916000*c_1001_2 - 153673586237010759739/76806287441025532000, c_0011_0 - 1, c_0011_10 - 203290100/40441651*c_1001_2^5 - 223119609/80883302*c_1001_2^4 + 796604955/80883302*c_1001_2^3 + 260413884/40441651*c_1001_2^2 - 381052693/80883302*c_1001_2 - 120355266/40441651, c_0011_11 - 231260952/40441651*c_1001_2^5 - 136318473/40441651*c_1001_2^4 + 397476708/40441651*c_1001_2^3 + 252428274/40441651*c_1001_2^2 - 132019244/40441651*c_1001_2 - 96832189/40441651, c_0011_3 + 41955771/40441651*c_1001_2^5 - 77682961/40441651*c_1001_2^4 - 188533615/40441651*c_1001_2^3 + 64784450/40441651*c_1001_2^2 + 181302077/40441651*c_1001_2 + 29448891/40441651, c_0011_5 - 140188035/40441651*c_1001_2^5 + 36321316/40441651*c_1001_2^4 + 455169626/40441651*c_1001_2^3 + 119472286/40441651*c_1001_2^2 - 372848561/40441651*c_1001_2 - 235413690/40441651, c_0101_1 - 1, c_0101_10 - 427390691/40441651*c_1001_2^5 - 149514494/40441651*c_1001_2^4 + 850994795/40441651*c_1001_2^3 + 355929340/40441651*c_1001_2^2 - 387853600/40441651*c_1001_2 - 163874772/40441651, c_0101_4 - 161341934/40441651*c_1001_2^5 - 202897467/40441651*c_1001_2^4 + 345756585/40441651*c_1001_2^3 + 348897490/40441651*c_1001_2^2 - 189325425/40441651*c_1001_2 - 151165878/40441651, c_0101_5 + 308347936/40441651*c_1001_2^5 + 181757964/40441651*c_1001_2^4 - 529968944/40441651*c_1001_2^3 - 336571032/40441651*c_1001_2^2 + 229947860/40441651*c_1001_2 + 75187384/40441651, c_0101_6 + 41955771/40441651*c_1001_2^5 - 77682961/40441651*c_1001_2^4 - 188533615/40441651*c_1001_2^3 + 64784450/40441651*c_1001_2^2 + 221743728/40441651*c_1001_2 + 29448891/40441651, c_1001_1 + 266048757/40441651*c_1001_2^5 - 53382973/40441651*c_1001_2^4 - 505238210/40441651*c_1001_2^3 - 7031850/40441651*c_1001_2^2 + 198528175/40441651*c_1001_2 + 12708894/40441651, c_1001_2^6 + 126/169*c_1001_2^5 - 371/169*c_1001_2^4 - 350/169*c_1001_2^3 + 162/169*c_1001_2^2 + 236/169*c_1001_2 + 5/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.350 seconds, Total memory usage: 32.09MB