Magma V2.19-8 Wed Aug 21 2013 00:51:44 on localhost [Seed = 4088784563] Type ? for help. Type -D to quit. Loading file "L11n23__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n23 geometric_solution 12.40477830 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1230 0132 0132 0 0 1 1 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 -1 1 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 0.488703468707 0.646742728974 0 4 0 5 0132 0132 3012 0132 1 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 0 0 0 0 0 0 0 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 0.256280496410 0.984227066395 6 7 8 0 0132 0132 0132 0132 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 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 0.415584218205 1.463977730478 5 7 0 9 0132 0321 0132 0132 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 0 0 0 0 0 0 0 0 0 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 -0.000000000000 1.000000000000 10 1 6 10 0132 0132 0213 2031 1 1 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 0 0 0 0 -3 3 1 0 0 -1 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.960030310259 1.183500477931 3 11 1 7 0132 0132 0132 3012 1 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 0 0 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.388264916164 1.571765394095 2 4 9 11 0132 0213 2103 0132 1 0 1 1 0 1 -1 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 3 -3 0 1 0 0 -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 0.552530682562 0.784953654859 10 2 5 3 3012 0132 1230 0321 0 1 1 1 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 0 0 -1 -1 0 0 1 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552530682562 0.784953654859 12 12 9 2 0132 1302 0132 0132 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 0 0 0 1 0 -1 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 0.488703468707 0.646742728974 6 11 3 8 2103 1302 0132 0132 0 0 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 0 0 0 0 0 0 0 3 -4 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.000000000000 1.000000000000 4 4 12 7 0132 1302 3012 1230 1 1 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 0 0 0 1 0 -1 -1 0 0 1 -1 -3 0 4 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586609285511 0.509617355766 12 5 6 9 2103 0132 0132 2031 1 0 1 1 0 -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 -4 0 4 -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 0.851874906924 0.599636705768 8 10 11 8 0132 1230 2103 2031 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 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 0.752238201156 0.951511612692 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_7']), 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_0011_9'], 'c_1001_4' : d['c_0011_9'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_9'], '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' : d['c_0110_11'], 'c_1001_9' : d['c_0110_11'], 'c_1001_8' : d['c_0101_8'], 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : d['c_0011_9'], 'c_1010_10' : d['c_0101_7'], 's_0_10' : negation(d['1']), 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_11'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_12']), 's_2_0' : negation(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_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_7' : 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_0011_10' : negation(d['c_0011_0']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : negation(d['c_0101_8']), 'c_1100_10' : negation(d['c_0011_11']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_11'], 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0110_11'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_9'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0101_8'], 'c_1010_8' : d['c_0110_11'], 'c_1100_8' : d['c_1100_0'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(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_0110_11']), '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_9'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_11']), '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_11'], 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : negation(d['c_0011_2']), 'c_0110_12' : d['c_0101_8'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_11'], '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_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_8'], 'c_0110_8' : d['c_0101_11'], '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_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_12']), 'c_0110_7' : negation(d['c_0011_11']), 'c_0110_6' : d['c_0101_11'], 's_2_9' : negation(d['1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_12, c_0011_2, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0101_8, c_0110_11, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 1447/704*c_1100_0^5 - 1757/176*c_1100_0^4 - 5213/176*c_1100_0^3 - 2789/88*c_1100_0^2 - 5859/352*c_1100_0 - 2493/176, c_0011_0 - 1, c_0011_11 + 4/11*c_1100_0^5 + 39/22*c_1100_0^4 + 56/11*c_1100_0^3 + 54/11*c_1100_0^2 + 13/11*c_1100_0 + 15/11, c_0011_12 + 1, c_0011_2 - 2/11*c_1100_0^5 - 7/11*c_1100_0^4 - 17/11*c_1100_0^3 + 6/11*c_1100_0^2 + 21/11*c_1100_0 - 2/11, c_0011_9 + 4/11*c_1100_0^5 + 39/22*c_1100_0^4 + 56/11*c_1100_0^3 + 54/11*c_1100_0^2 + 13/11*c_1100_0 + 15/11, c_0101_0 - 1, c_0101_1 + 1/44*c_1100_0^5 - 1/22*c_1100_0^4 - 2/11*c_1100_0^3 - 9/11*c_1100_0^2 + 3/22*c_1100_0 + 3/11, c_0101_11 - c_1100_0 - 1, c_0101_7 - 2/11*c_1100_0^5 - 25/22*c_1100_0^4 - 39/11*c_1100_0^3 - 60/11*c_1100_0^2 - 34/11*c_1100_0 - 13/11, c_0101_8 + 19/44*c_1100_0^5 + 47/22*c_1100_0^4 + 72/11*c_1100_0^3 + 82/11*c_1100_0^2 + 101/22*c_1100_0 + 35/11, c_0110_11 + 17/44*c_1100_0^5 + 19/11*c_1100_0^4 + 54/11*c_1100_0^3 + 45/11*c_1100_0^2 + 29/22*c_1100_0 + 18/11, c_1001_0 + 9/44*c_1100_0^5 + 12/11*c_1100_0^4 + 37/11*c_1100_0^3 + 51/11*c_1100_0^2 + 71/22*c_1100_0 + 16/11, c_1100_0^6 + 6*c_1100_0^5 + 20*c_1100_0^4 + 32*c_1100_0^3 + 26*c_1100_0^2 + 16*c_1100_0 + 8 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_12, c_0011_2, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0101_8, c_0110_11, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 90324691/315471600*c_1100_0^7 - 33678677/315471600*c_1100_0^6 - 1349958941/78867900*c_1100_0^5 + 437804783/10515720*c_1100_0^4 - 5801779777/157735800*c_1100_0^3 - 203637181/52578600*c_1100_0^2 - 66347813/15773580*c_1100_0 - 2038559/5257860, c_0011_0 - 1, c_0011_11 - 1976227/31547160*c_1100_0^7 - 98959/6309432*c_1100_0^6 - 2967155/788679*c_1100_0^5 + 25155113/2628930*c_1100_0^4 - 163697359/15773580*c_1100_0^3 + 18536969/5257860*c_1100_0^2 - 45082009/7886790*c_1100_0 + 870992/262893, c_0011_12 - 923099/31547160*c_1100_0^7 - 9703/525786*c_1100_0^6 - 5586545/3154716*c_1100_0^5 + 59877631/15773580*c_1100_0^4 - 59960633/15773580*c_1100_0^3 + 10159217/7886790*c_1100_0^2 - 30410003/7886790*c_1100_0 + 692783/1577358, c_0011_2 - 158639/1752620*c_1100_0^7 - 35075/1051572*c_1100_0^6 - 5720041/1051572*c_1100_0^5 + 69417091/5257860*c_1100_0^4 - 5866664/438155*c_1100_0^3 + 12030587/2628930*c_1100_0^2 - 8535241/876310*c_1100_0 + 2205389/525786, c_0011_9 - 175855/6309432*c_1100_0^7 - 111491/6309432*c_1100_0^6 - 5291503/3154716*c_1100_0^5 + 1273791/350524*c_1100_0^4 - 9500509/3154716*c_1100_0^3 + 1104841/1051572*c_1100_0^2 - 3173516/788679*c_1100_0 + 463405/525786, c_0101_0 - 1, c_0101_1 - 90977/6309432*c_1100_0^7 + 4427/6309432*c_1100_0^6 - 2734085/3154716*c_1100_0^5 + 863003/350524*c_1100_0^4 - 9893195/3154716*c_1100_0^3 + 2005163/1051572*c_1100_0^2 - 936874/788679*c_1100_0 + 494327/525786, c_0101_11 - 33205/6309432*c_1100_0^7 + 7081/525786*c_1100_0^6 - 480637/1577358*c_1100_0^5 + 1335185/788679*c_1100_0^4 - 8500333/3154716*c_1100_0^3 + 2370235/1577358*c_1100_0^2 - 941282/788679*c_1100_0 + 1184797/788679, c_0101_7 + 1140167/31547160*c_1100_0^7 + 60809/6309432*c_1100_0^6 + 1715662/788679*c_1100_0^5 - 7219349/1314465*c_1100_0^4 + 97134899/15773580*c_1100_0^3 - 16667179/5257860*c_1100_0^2 + 32906789/7886790*c_1100_0 - 509941/262893, c_0101_8 + 197947/6309432*c_1100_0^7 + 27665/2103144*c_1100_0^6 + 5922725/3154716*c_1100_0^5 - 3543464/788679*c_1100_0^4 + 12232099/3154716*c_1100_0^3 - 2310203/3154716*c_1100_0^2 + 1975133/788679*c_1100_0 - 656521/788679, c_0110_11 - 15037/3154716*c_1100_0^7 + 1553/6309432*c_1100_0^6 - 911615/3154716*c_1100_0^5 + 839423/1051572*c_1100_0^4 - 962489/788679*c_1100_0^3 + 81031/1051572*c_1100_0^2 + 7100/788679*c_1100_0 + 138691/525786, c_1001_0 + 68569/3154716*c_1100_0^7 + 39703/6309432*c_1100_0^6 + 4094357/3154716*c_1100_0^5 - 3447143/1051572*c_1100_0^4 + 2365634/788679*c_1100_0^3 - 292927/1051572*c_1100_0^2 + 1224622/788679*c_1100_0 - 583411/525786, c_1100_0^8 + 60*c_1100_0^6 - 168*c_1100_0^5 + 204*c_1100_0^4 - 112*c_1100_0^3 + 128*c_1100_0^2 - 80*c_1100_0 + 20 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.320 seconds, Total memory usage: 32.09MB