Magma V2.19-8 Tue Aug 20 2013 19:57:05 on localhost [Seed = 3137137333] Type ? for help. Type -D to quit. Loading file "11_305__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_305 geometric_solution 13.60664854 oriented_manifold CS_known -0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 15 1 2 3 1 0132 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.647845276195 0.699482661579 0 4 5 0 0132 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 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 0.647845276195 0.699482661579 6 0 8 7 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 0 -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 0.712933633822 0.417957898387 9 10 9 0 0132 0132 3120 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 -1 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 0.923553322974 0.726401292727 10 1 8 11 3120 0132 2310 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 0 1 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 0.690859315287 0.507137241767 12 13 12 1 0132 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 0 0 -4 0 5 -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 0.647921016343 0.600309506387 2 9 12 13 0132 2103 1230 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1.770821588493 0.627483743621 12 10 2 8 1230 0213 0132 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 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 0.631283750562 0.806726323898 7 4 11 2 3120 3201 1230 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 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 0.595027318174 0.562749826215 3 6 3 14 0132 2103 3120 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 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 0.923553322974 0.726401292727 13 3 7 4 3012 0132 0213 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.793601723061 0.419332956681 14 14 4 8 0213 2310 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.685486391039 0.711225383771 5 7 5 6 0132 3012 3120 3012 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 4 0 -5 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 0.647921016343 0.600309506387 6 5 14 10 3012 0132 2310 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.978607231878 1.360462434251 11 13 9 11 0213 3201 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.520063204301 1.176044983508 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_14' : negation(d['c_0101_13']), 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_1001_0'], 'c_1001_13' : d['c_1001_1'], 'c_1001_12' : negation(d['c_0011_7']), 'c_1001_5' : d['c_0011_7'], 'c_1001_4' : negation(d['c_1001_2']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_0'], 'c_1001_8' : negation(d['c_0011_8']), 'c_1010_13' : d['c_0011_7'], 'c_1010_12' : negation(d['c_0101_6']), 'c_1010_11' : negation(d['c_0101_8']), 'c_1010_10' : negation(d['c_0011_0']), 'c_1010_14' : negation(d['c_1001_1']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_14'], 'c_0101_10' : d['c_0011_7'], 'c_0101_14' : 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_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_14' : 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_14' : d['c_0011_14'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0011_8'], 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_0101_8']), 'c_1100_14' : negation(d['c_0011_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_8'], 'c_1100_10' : negation(d['c_0011_8']), 'c_1100_13' : d['c_0011_14'], 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : d['c_0101_13'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_13']), 'c_1010_8' : d['c_1001_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'], 'c_1100_12' : negation(d['c_0011_10']), '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' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : d['c_0011_0'], 'c_0101_13' : d['c_0101_13'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_8']), 'c_0110_10' : d['c_0011_14'], 'c_0110_13' : d['c_0011_10'], 'c_0110_12' : d['c_0011_10'], 'c_0110_14' : d['c_0101_8'], 's_0_13' : d['1'], 'c_0101_12' : d['c_0101_1'], 'c_0011_7' : d['c_0011_7'], 's_0_8' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0011_8'], 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : d['c_0011_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0011_12'], '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_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_14'], 'c_0110_7' : d['c_0011_12'], 'c_0110_6' : d['c_0011_12']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_14, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_13, c_0101_6, c_0101_8, c_1001_0, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 7203219685/2508604*c_1001_2^8 - 47275102435/2508604*c_1001_2^7 - 113204185501/2508604*c_1001_2^6 - 24699489736/627151*c_1001_2^5 + 34000386339/2508604*c_1001_2^4 + 51675297081/1254302*c_1001_2^3 + 25395977269/2508604*c_1001_2^2 - 2479105681/179186*c_1001_2 - 16256639949/2508604, c_0011_0 - 1, c_0011_10 + 381157/12799*c_1001_2^8 + 3741625/25598*c_1001_2^7 + 2824889/12799*c_1001_2^6 + 675339/25598*c_1001_2^5 - 4653441/25598*c_1001_2^4 - 1051314/12799*c_1001_2^3 + 596055/12799*c_1001_2^2 + 860931/25598*c_1001_2 + 117439/25598, c_0011_11 - 116059/12799*c_1001_2^8 - 900117/25598*c_1001_2^7 - 343604/12799*c_1001_2^6 + 970035/25598*c_1001_2^5 + 946311/25598*c_1001_2^4 - 293821/12799*c_1001_2^3 - 172638/12799*c_1001_2^2 + 134321/25598*c_1001_2 + 27097/25598, c_0011_12 + 1057825/25598*c_1001_2^8 + 4943647/25598*c_1001_2^7 + 6751429/25598*c_1001_2^6 - 180173/12799*c_1001_2^5 - 6121181/25598*c_1001_2^4 - 866711/12799*c_1001_2^3 + 1719049/25598*c_1001_2^2 + 423082/12799*c_1001_2 + 107067/25598, c_0011_14 - 343026/12799*c_1001_2^8 - 1675650/12799*c_1001_2^7 - 2456624/12799*c_1001_2^6 - 68580/12799*c_1001_2^5 + 2271787/12799*c_1001_2^4 + 835140/12799*c_1001_2^3 - 668778/12799*c_1001_2^2 - 354869/12799*c_1001_2 - 36298/12799, c_0011_7 - 1057825/25598*c_1001_2^8 - 4943647/25598*c_1001_2^7 - 6751429/25598*c_1001_2^6 + 180173/12799*c_1001_2^5 + 6121181/25598*c_1001_2^4 + 866711/12799*c_1001_2^3 - 1719049/25598*c_1001_2^2 - 435881/12799*c_1001_2 - 132665/25598, c_0011_8 + 141831/12799*c_1001_2^8 + 1434769/25598*c_1001_2^7 + 1107286/12799*c_1001_2^6 + 212937/25598*c_1001_2^5 - 1954467/25598*c_1001_2^4 - 376498/12799*c_1001_2^3 + 303739/12799*c_1001_2^2 + 310399/25598*c_1001_2 + 36627/25598, c_0101_0 - 381157/12799*c_1001_2^8 - 3741625/25598*c_1001_2^7 - 2824889/12799*c_1001_2^6 - 675339/25598*c_1001_2^5 + 4653441/25598*c_1001_2^4 + 1051314/12799*c_1001_2^3 - 596055/12799*c_1001_2^2 - 860931/25598*c_1001_2 - 117439/25598, c_0101_1 - 61387/25598*c_1001_2^8 - 201403/12799*c_1001_2^7 - 940479/25598*c_1001_2^6 - 668881/25598*c_1001_2^5 + 292394/12799*c_1001_2^4 + 436631/12799*c_1001_2^3 - 39433/25598*c_1001_2^2 - 294569/25598*c_1001_2 - 29850/12799, c_0101_13 + 440181/25598*c_1001_2^8 + 984187/12799*c_1001_2^7 + 2358223/25598*c_1001_2^6 - 818807/25598*c_1001_2^5 - 1255097/12799*c_1001_2^4 - 7003/12799*c_1001_2^3 + 893133/25598*c_1001_2^2 + 93621/25598*c_1001_2 - 12122/12799, c_0101_6 - 50592/12799*c_1001_2^8 - 176874/12799*c_1001_2^7 - 36995/12799*c_1001_2^6 + 404340/12799*c_1001_2^5 + 221258/12799*c_1001_2^4 - 342421/12799*c_1001_2^3 - 172359/12799*c_1001_2^2 + 93082/12799*c_1001_2 + 34543/12799, c_0101_8 - 208301/12799*c_1001_2^8 - 1880237/25598*c_1001_2^7 - 1150877/12799*c_1001_2^6 + 682949/25598*c_1001_2^5 + 2394903/25598*c_1001_2^4 + 97685/12799*c_1001_2^3 - 375133/12799*c_1001_2^2 - 187227/25598*c_1001_2 - 10043/25598, c_1001_0 + 50592/12799*c_1001_2^8 + 176874/12799*c_1001_2^7 + 36995/12799*c_1001_2^6 - 404340/12799*c_1001_2^5 - 221258/12799*c_1001_2^4 + 342421/12799*c_1001_2^3 + 172359/12799*c_1001_2^2 - 93082/12799*c_1001_2 - 34543/12799, c_1001_1 - 92242/12799*c_1001_2^8 - 490060/12799*c_1001_2^7 - 807273/12799*c_1001_2^6 - 143543/12799*c_1001_2^5 + 724296/12799*c_1001_2^4 + 391506/12799*c_1001_2^3 - 202495/12799*c_1001_2^2 - 160774/12799*c_1001_2 - 18570/12799, c_1001_2^9 + 91/17*c_1001_2^8 + 162/17*c_1001_2^7 + 66/17*c_1001_2^6 - 104/17*c_1001_2^5 - 93/17*c_1001_2^4 + 11/17*c_1001_2^3 + 32/17*c_1001_2^2 + 10/17*c_1001_2 + 1/17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 180.580 Total time: 180.780 seconds, Total memory usage: 521.72MB