Magma V2.19-8 Wed Aug 21 2013 01:04:10 on localhost [Seed = 2732899069] Type ? for help. Type -D to quit. Loading file "L14n23995__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n23995 geometric_solution 11.96900331 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 0213 0 1 1 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 0 0 0 0 4 -3 -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 0.759475110909 0.903406446548 0 4 6 5 0132 0132 0132 0132 1 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 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 1.280941157687 0.544763565819 7 0 8 0 0132 0132 0132 0213 0 1 1 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 -4 3 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 0.759475110909 0.903406446548 9 8 8 0 0132 0132 0321 0132 0 1 1 1 0 1 0 -1 0 0 -1 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 -3 0 3 0 0 -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 0.698320896990 0.725204910604 5 1 10 7 1302 0132 0132 2103 1 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 -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 0.561666707490 1.037138406483 11 4 1 12 0132 2031 0132 0132 1 1 1 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 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 0.391227055972 1.333435937923 10 11 9 1 0321 0132 0132 0132 1 1 1 1 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 -1 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 1.064928138237 1.654028978670 2 12 10 4 0132 2103 0213 2103 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.422456258121 0.465027345945 10 3 3 2 2103 0132 0321 0132 0 1 1 1 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 3 0 -3 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 0.698320896990 0.725204910604 3 12 11 6 0132 1023 0132 0132 1 1 1 1 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 -1 0 1 0 0 0 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 0.496350989017 0.579850383111 6 7 8 4 0321 0213 2103 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.385065772002 0.769909176178 5 6 12 9 0132 0132 0132 0132 1 1 1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.042923376260 0.357265364926 9 7 5 11 1023 2103 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 -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 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 0.481304822786 0.826959948046 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0110_4']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_7' : d['c_0011_12'], 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_1'], 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : negation(d['c_0110_4']), 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(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' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_1100_1'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : negation(d['c_0110_4']), 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_2'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_0101_2']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_1']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0011_0'], '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_0110_4']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_1001_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' : 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' : d['c_1100_1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : 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_12'], 'c_0011_8' : d['c_0011_12'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_12']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0101_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_11'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_10']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_10'])})} 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_10, c_0011_11, c_0011_12, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0110_4, c_1001_0, c_1001_1, c_1001_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 98183764108767/4753465202278*c_1100_1^9 + 2971602794351921/9506930404556*c_1100_1^8 - 5362149784612074/2376732601139*c_1100_1^7 + 21055941218546833/2376732601139*c_1100_1^6 - 176178736916941243/9506930404556*c_1100_1^5 + 1544503136455998/64236016247*c_1100_1^4 - 91466945875682229/4753465202278*c_1100_1^3 + 44596658637436043/4753465202278*c_1100_1^2 - 23722714355421759/9506930404556*c_1100_1 + 2677584451888399/9506930404556, c_0011_0 - 1, c_0011_10 - 52355/16694*c_1100_1^9 + 503067/16694*c_1100_1^8 - 2735709/16694*c_1100_1^7 + 5428027/16694*c_1100_1^6 - 3431372/8347*c_1100_1^5 + 2615912/8347*c_1100_1^4 - 3398007/16694*c_1100_1^3 + 1849883/16694*c_1100_1^2 - 767239/16694*c_1100_1 + 147913/16694, c_0011_11 + 6827/8347*c_1100_1^9 - 132673/16694*c_1100_1^8 + 725063/16694*c_1100_1^7 - 1470265/16694*c_1100_1^6 + 914810/8347*c_1100_1^5 - 701272/8347*c_1100_1^4 + 442484/8347*c_1100_1^3 - 507491/16694*c_1100_1^2 + 206859/16694*c_1100_1 - 42057/16694, c_0011_12 + 47455/33388*c_1100_1^9 - 470953/33388*c_1100_1^8 + 2622857/33388*c_1100_1^7 - 5693155/33388*c_1100_1^6 + 3856925/16694*c_1100_1^5 - 1627768/8347*c_1100_1^4 + 4307361/33388*c_1100_1^3 - 2386881/33388*c_1100_1^2 + 1087209/33388*c_1100_1 - 253099/33388, c_0101_0 - 1469/16694*c_1100_1^9 + 41305/33388*c_1100_1^8 - 68528/8347*c_1100_1^7 + 940471/33388*c_1100_1^6 - 744373/16694*c_1100_1^5 + 387164/8347*c_1100_1^4 - 488929/16694*c_1100_1^3 + 599243/33388*c_1100_1^2 - 138625/16694*c_1100_1 + 100369/33388, c_0101_10 - 57255/33388*c_1100_1^9 + 535181/33388*c_1100_1^8 - 2848561/33388*c_1100_1^7 + 5162899/33388*c_1100_1^6 - 3005819/16694*c_1100_1^5 + 988144/8347*c_1100_1^4 - 2488653/33388*c_1100_1^3 + 1312885/33388*c_1100_1^2 - 447269/33388*c_1100_1 + 9339/33388, c_0101_11 + 29124/8347*c_1100_1^9 - 1127273/33388*c_1100_1^8 + 1538530/8347*c_1100_1^7 - 12409281/33388*c_1100_1^6 + 7834797/16694*c_1100_1^5 - 3003247/8347*c_1100_1^4 + 1920642/8347*c_1100_1^3 - 4244843/33388*c_1100_1^2 + 855701/16694*c_1100_1 - 302035/33388, c_0101_2 - 18085/16694*c_1100_1^9 + 354525/33388*c_1100_1^8 - 489109/8347*c_1100_1^7 + 4109965/33388*c_1100_1^6 - 2720243/16694*c_1100_1^5 + 1123746/8347*c_1100_1^4 - 1468597/16694*c_1100_1^3 + 1679127/33388*c_1100_1^2 - 359071/16694*c_1100_1 + 177771/33388, c_0110_4 - 83767/33388*c_1100_1^9 + 202938/8347*c_1100_1^8 - 4435261/33388*c_1100_1^7 + 2243339/8347*c_1100_1^6 - 2833092/8347*c_1100_1^5 + 2176919/8347*c_1100_1^4 - 5595893/33388*c_1100_1^3 + 1547083/16694*c_1100_1^2 - 1243507/33388*c_1100_1 + 103693/16694, c_1001_0 - 1, c_1001_1 - 60193/33388*c_1100_1^9 + 288243/16694*c_1100_1^8 - 3122673/33388*c_1100_1^7 + 3051685/16694*c_1100_1^6 - 1875096/8347*c_1100_1^5 + 1375308/8347*c_1100_1^4 - 3466511/33388*c_1100_1^3 + 478032/8347*c_1100_1^2 - 724519/33388*c_1100_1 + 19080/8347, c_1001_2 - 44517/33388*c_1100_1^9 + 107412/8347*c_1100_1^8 - 2348745/33388*c_1100_1^7 + 1188171/8347*c_1100_1^6 - 1556276/8347*c_1100_1^5 + 1240604/8347*c_1100_1^4 - 3329503/33388*c_1100_1^3 + 893819/16694*c_1100_1^2 - 809959/33388*c_1100_1 + 76365/16694, c_1100_1^10 - 10*c_1100_1^9 + 56*c_1100_1^8 - 124*c_1100_1^7 + 171*c_1100_1^6 - 150*c_1100_1^5 + 103*c_1100_1^4 - 60*c_1100_1^3 + 28*c_1100_1^2 - 8*c_1100_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.940 Total time: 1.139 seconds, Total memory usage: 32.09MB