Magma V2.19-8 Tue Aug 20 2013 17:56:26 on localhost [Seed = 2513707432] Type ? for help. Type -D to quit. Loading file "10^2_70__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_70 geometric_solution 10.86122877 oriented_manifold CS_known 0.0000000000000011 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1230 0132 0132 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 6 -1 -5 -6 0 6 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 0.567396255849 0.750889544854 0 4 0 5 0132 0132 3012 0132 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 1 -1 0 6 0 -6 0 1 5 0 -6 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.359434235548 0.847721729497 6 5 7 0 0132 1302 0132 0132 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 -1 1 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.980901360891 0.868564582553 7 7 0 5 2310 3120 0132 1230 0 0 0 0 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 -5 5 0 0 0 0 0 -6 0 0 6 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428702864550 0.546959317408 8 1 8 9 0132 0132 3120 0132 0 1 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 -1 1 0 0 0 -1 1 -1 1 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.689893647528 0.522014279071 3 10 1 2 3012 0132 0132 2031 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 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.067998813845 1.543845656613 2 8 11 11 0132 1302 0132 0321 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 -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 0.332121893534 0.518607365057 11 3 3 2 0321 3120 3201 0132 0 0 0 0 0 0 0 0 0 0 1 -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 -1 0 1 0 0 6 -6 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.913279166062 0.874372578255 4 9 4 6 0132 2103 3120 2031 0 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 5 -5 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 0.689893647528 0.522014279071 10 8 4 10 3120 2103 0132 0132 0 1 0 0 0 0 0 0 -1 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 -1 0 -1 2 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.815981117534 1.087499182913 11 5 9 9 2031 0132 0132 3120 0 1 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 0 0 0 1 0 -2 1 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558566352386 0.588320882402 7 6 10 6 0321 0321 1302 0132 1 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 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.124286341246 1.367424316050 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_11']), 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_9']), 'c_1001_4' : negation(d['c_0011_9']), 'c_1001_7' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : negation(d['c_0011_0']), 'c_1001_8' : d['c_0011_9'], 'c_1010_11' : d['c_0101_4'], 'c_1010_10' : negation(d['c_0011_9']), 's_0_10' : d['1'], 's_0_11' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : 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' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(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_1100_8' : negation(d['c_0101_4']), 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_0101_8']), 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 's_3_11' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_8']), 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_0101_8']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : d['c_0011_2'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0011_7']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_9']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0011_2'], 'c_1010_8' : negation(d['c_0011_2']), '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' : negation(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' : 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' : negation(d['1']), 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_0']), '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_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' : negation(d['c_0011_7']), 'c_0110_10' : d['c_0101_10'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : negation(d['c_0011_7']), 'c_0101_5' : negation(d['c_0011_7']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_7']), '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_4'], 'c_0110_1' : negation(d['c_0011_7']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_10']), 'c_0110_2' : negation(d['c_0011_7']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_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_2, c_0011_3, c_0011_7, c_0011_9, c_0101_1, c_0101_10, c_0101_4, c_0101_8, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 7690070774/3729366575*c_1001_0^9 - 16704471953/3729366575*c_1001_0^8 + 55117866119/3729366575*c_1001_0^7 - 12502613587/3729366575*c_1001_0^6 + 25718229982/3729366575*c_1001_0^5 + 13838994387/339033325*c_1001_0^4 + 16443691321/3729366575*c_1001_0^3 + 8433044657/745873315*c_1001_0^2 + 7028514799/149174663*c_1001_0 - 22597966256/3729366575, c_0011_0 - 1, c_0011_10 - 55688/1442695*c_1001_0^9 + 258932/1442695*c_1001_0^8 - 614456/1442695*c_1001_0^7 + 925558/1442695*c_1001_0^6 - 382451/1442695*c_1001_0^5 - 250989/1442695*c_1001_0^4 + 950676/1442695*c_1001_0^3 + 1030001/1442695*c_1001_0^2 - 1646736/1442695*c_1001_0 + 2696338/1442695, c_0011_11 + 45104/7213475*c_1001_0^9 - 507668/7213475*c_1001_0^8 + 1357114/7213475*c_1001_0^7 - 3798022/7213475*c_1001_0^6 + 4677682/7213475*c_1001_0^5 - 4725628/7213475*c_1001_0^4 + 1796476/7213475*c_1001_0^3 - 86334/1442695*c_1001_0^2 + 310756/1442695*c_1001_0 - 1803481/7213475, c_0011_2 - 209668/7213475*c_1001_0^9 + 759596/7213475*c_1001_0^8 - 2117933/7213475*c_1001_0^7 + 2654884/7213475*c_1001_0^6 - 3821274/7213475*c_1001_0^5 + 2540301/7213475*c_1001_0^4 - 2437947/7213475*c_1001_0^3 + 20106/1442695*c_1001_0^2 + 276026/288539*c_1001_0 + 2520792/7213475, c_0011_3 + 458068/7213475*c_1001_0^9 - 1458206/7213475*c_1001_0^8 + 3855438/7213475*c_1001_0^7 - 4077074/7213475*c_1001_0^6 + 1618619/7213475*c_1001_0^5 + 4141949/7213475*c_1001_0^4 - 7154733/7213475*c_1001_0^3 + 339442/1442695*c_1001_0^2 + 893422/1442695*c_1001_0 - 1010777/7213475, c_0011_7 - 40436/1442695*c_1001_0^9 + 83476/1442695*c_1001_0^8 - 292343/1442695*c_1001_0^7 + 269659/1442695*c_1001_0^6 - 409041/1442695*c_1001_0^5 - 104838/1442695*c_1001_0^4 + 300623/1442695*c_1001_0^3 + 116419/1442695*c_1001_0^2 + 597936/1442695*c_1001_0 + 1292903/1442695, c_0011_9 + 837922/7213475*c_1001_0^9 - 2476969/7213475*c_1001_0^8 + 7367912/7213475*c_1001_0^7 - 5808001/7213475*c_1001_0^6 + 4498541/7213475*c_1001_0^5 + 12774546/7213475*c_1001_0^4 - 7176142/7213475*c_1001_0^3 + 638444/1442695*c_1001_0^2 + 2482012/1442695*c_1001_0 - 15979603/7213475, c_0101_1 + 233336/7213475*c_1001_0^9 - 786992/7213475*c_1001_0^8 + 1715166/7213475*c_1001_0^7 - 829768/7213475*c_1001_0^6 - 2765427/7213475*c_1001_0^5 + 5980573/7213475*c_1001_0^4 - 6549856/7213475*c_1001_0^3 - 943667/1442695*c_1001_0^2 + 267196/288539*c_1001_0 - 4464734/7213475, c_0101_10 - 49844/36067375*c_1001_0^9 - 329982/36067375*c_1001_0^8 - 2100814/36067375*c_1001_0^7 + 3679497/36067375*c_1001_0^6 - 17045267/36067375*c_1001_0^5 + 8295458/36067375*c_1001_0^4 - 2483226/36067375*c_1001_0^3 - 4557502/7213475*c_1001_0^2 + 1387646/1442695*c_1001_0 + 25939111/36067375, c_0101_4 - 1, c_0101_8 + 4139766/36067375*c_1001_0^9 - 12714827/36067375*c_1001_0^8 + 34738746/36067375*c_1001_0^7 - 25360508/36067375*c_1001_0^6 + 5447438/36067375*c_1001_0^5 + 72168188/36067375*c_1001_0^4 - 38363936/36067375*c_1001_0^3 - 1365282/7213475*c_1001_0^2 + 3869658/1442695*c_1001_0 - 53958904/36067375, c_1001_0^10 - 7/2*c_1001_0^9 + 23/2*c_1001_0^8 - 29/2*c_1001_0^7 + 15*c_1001_0^6 + 27/2*c_1001_0^5 - 51/2*c_1001_0^4 + 53/2*c_1001_0^3 + 15*c_1001_0^2 - 44*c_1001_0 + 47/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB