Magma V2.19-8 Wed Aug 21 2013 00:56:57 on localhost [Seed = 3701130760] Type ? for help. Type -D to quit. Loading file "L13n3146__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3146 geometric_solution 11.64718796 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 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 -2 1 1 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 0.400770651755 1.132527544696 0 5 6 4 0132 0132 0132 1230 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.865212638605 0.395348682239 7 0 6 8 0132 0132 3012 0132 0 1 1 1 0 -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 2 -2 0 0 0 0 0 0 0 0 0 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517619421445 0.752740248320 4 9 10 0 1230 0132 0132 0132 0 1 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 1 0 -1 1 0 0 -1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.264170895643 0.434465690620 1 3 0 11 3012 3012 0132 0132 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 0 0 0 0 0 0 0 1 -1 0 -1 0 1 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 -0.942460593824 1.458297656990 9 1 6 7 0213 0132 1302 1023 1 0 1 1 0 0 0 0 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 0 0 0 0 0 2 -2 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.877998475813 0.907767604438 5 2 11 1 2031 1230 2310 0132 1 1 1 0 0 0 0 0 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 -1 1 0 0 0 0 0 3 0 -3 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.806506057903 0.474826093496 2 9 10 5 0132 0213 2103 1023 0 1 1 1 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 -1 -1 2 0 0 0 0 -2 2 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.535558013151 0.737178862457 11 12 2 12 0132 0132 0132 1230 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 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 0.669060759036 1.404306050098 5 3 7 12 0213 0132 0213 1302 0 1 0 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 -1 1 0 3 0 -2 -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 1.400770651755 1.132527544696 7 12 11 3 2103 1302 0132 0132 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 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.882362330414 0.962422398912 8 6 4 10 0132 3201 0132 0132 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 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 0.356338651660 0.628036976780 8 8 9 10 3012 0132 2031 2031 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.158983394983 0.674629405657 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_3']), 'c_1001_10' : d['c_0110_12'], 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : negation(d['c_0110_12']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_10'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_0110_12'], 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0011_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' : d['1'], 's_2_5' : d['1'], 's_2_6' : 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' : 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_1100_9' : d['c_0101_12'], 'c_1100_8' : d['c_0110_12'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0011_11'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0110_12'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_12'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0011_10'], 'c_1010_2' : d['c_0011_10'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_0101_12'], '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_1001_3']), '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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_3'], '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' : d['c_0101_10'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0110_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0101_9' : d['c_0011_0'], 'c_0101_8' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_12']), 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_10'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1'], 's_2_9' : 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_10, c_0011_11, c_0011_3, c_0011_4, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_0101_3, c_0110_12, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 36193/63*c_1100_0^3 + 96836/63*c_1100_0^2 - 47206/9*c_1100_0 + 36595/21, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 3*c_1100_0^3 + 8*c_1100_0^2 - 27*c_1100_0 + 8, c_0011_3 + 1/3*c_1100_0^3 - 2/3*c_1100_0^2 + 8/3*c_1100_0 - 1/3, c_0011_4 + 6*c_1100_0^3 - 16*c_1100_0^2 + 55*c_1100_0 - 18, c_0101_1 + 3*c_1100_0^3 - 8*c_1100_0^2 + 28*c_1100_0 - 9, c_0101_10 + 3*c_1100_0^3 - 8*c_1100_0^2 + 27*c_1100_0 - 9, c_0101_12 - 1/3*c_1100_0^3 + 2/3*c_1100_0^2 - 8/3*c_1100_0 + 4/3, c_0101_2 + c_1100_0, c_0101_3 + 5/3*c_1100_0^3 - 13/3*c_1100_0^2 + 46/3*c_1100_0 - 14/3, c_0110_12 + 4/3*c_1100_0^3 - 11/3*c_1100_0^2 + 35/3*c_1100_0 - 13/3, c_1001_3 + 1/3*c_1100_0^3 - 1/3*c_1100_0^2 + 7/3*c_1100_0 - 1, c_1100_0^4 - 3*c_1100_0^3 + 10*c_1100_0^2 - 6*c_1100_0 + 1 ], 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_3, c_0011_4, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_0101_3, c_0110_12, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 5524134508181/252537044320*c_1100_0^10 + 1366916788817/50507408864*c_1100_0^9 + 49405679682333/252537044320*c_1100_0^8 - 7027641091947/31567130540*c_1100_0^7 - 180983226178437/252537044320*c_1100_0^6 + 82876353706863/126268522160*c_1100_0^5 + 27059800202283/22957913120*c_1100_0^4 - 181656712449753/252537044320*c_1100_0^3 - 6563575171559/22957913120*c_1100_0^2 + 11301150403961/11478956560*c_1100_0 - 644598545420557/252537044320, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 1302337/32244260*c_1100_0^10 - 79331/6448852*c_1100_0^9 - 2802149/8061065*c_1100_0^8 + 746498/8061065*c_1100_0^7 + 40221349/32244260*c_1100_0^6 - 970513/8061065*c_1100_0^5 - 32620343/16122130*c_1100_0^4 - 652507/16122130*c_1100_0^3 + 13623449/16122130*c_1100_0^2 - 58725449/32244260*c_1100_0 + 14787931/8061065, c_0011_3 + 1588951/16122130*c_1100_0^10 - 64927/1612213*c_1100_0^9 - 13293783/16122130*c_1100_0^8 + 2516443/8061065*c_1100_0^7 + 45603597/16122130*c_1100_0^6 - 9950901/16122130*c_1100_0^5 - 31072869/8061065*c_1100_0^4 + 5026869/8061065*c_1100_0^3 + 893552/8061065*c_1100_0^2 - 86710817/16122130*c_1100_0 + 96892117/16122130, c_0011_4 + 707232/8061065*c_1100_0^10 - 117057/6448852*c_1100_0^9 - 23920219/32244260*c_1100_0^8 + 1465007/8061065*c_1100_0^7 + 20481019/8061065*c_1100_0^6 - 11458393/32244260*c_1100_0^5 - 54411717/16122130*c_1100_0^4 + 5440371/8061065*c_1100_0^3 - 443127/8061065*c_1100_0^2 - 44637979/8061065*c_1100_0 + 142272811/32244260, c_0101_1 - 707232/8061065*c_1100_0^10 + 117057/6448852*c_1100_0^9 + 23920219/32244260*c_1100_0^8 - 1465007/8061065*c_1100_0^7 - 20481019/8061065*c_1100_0^6 + 11458393/32244260*c_1100_0^5 + 54411717/16122130*c_1100_0^4 - 5440371/8061065*c_1100_0^3 + 443127/8061065*c_1100_0^2 + 44637979/8061065*c_1100_0 - 142272811/32244260, c_0101_10 + 1540137/16122130*c_1100_0^10 - 97069/6448852*c_1100_0^9 - 25414527/32244260*c_1100_0^8 + 1079711/8061065*c_1100_0^7 + 42004579/16122130*c_1100_0^6 - 2094239/32244260*c_1100_0^5 - 25810898/8061065*c_1100_0^4 - 2110879/16122130*c_1100_0^3 - 7930857/16122130*c_1100_0^2 - 36085502/8061065*c_1100_0 + 143997243/32244260, c_0101_12 - 1, c_0101_2 + 1239841/16122130*c_1100_0^10 - 95825/6448852*c_1100_0^9 - 21532651/32244260*c_1100_0^8 + 1089608/8061065*c_1100_0^7 + 37521907/16122130*c_1100_0^6 - 4953967/32244260*c_1100_0^5 - 25163499/8061065*c_1100_0^4 - 3017847/16122130*c_1100_0^3 - 5476861/16122130*c_1100_0^2 - 26390351/8061065*c_1100_0 + 142284899/32244260, c_0101_3 - 150148/8061065*c_1100_0^10 + 311/1612213*c_1100_0^9 + 970469/8061065*c_1100_0^8 + 9897/8061065*c_1100_0^7 - 2241336/8061065*c_1100_0^6 - 714932/8061065*c_1100_0^5 + 647399/8061065*c_1100_0^4 - 453484/8061065*c_1100_0^3 + 1226998/8061065*c_1100_0^2 + 9695151/8061065*c_1100_0 - 428086/8061065, c_0110_12 - 1598503/16122130*c_1100_0^10 + 38691/3224426*c_1100_0^9 + 13426389/16122130*c_1100_0^8 - 1030274/8061065*c_1100_0^7 - 46573401/16122130*c_1100_0^6 + 1276729/8061065*c_1100_0^5 + 64264199/16122130*c_1100_0^4 - 5381069/16122130*c_1100_0^3 - 355907/16122130*c_1100_0^2 + 42549783/8061065*c_1100_0 - 90815301/16122130, c_1001_3 - 1588951/16122130*c_1100_0^10 + 64927/1612213*c_1100_0^9 + 13293783/16122130*c_1100_0^8 - 2516443/8061065*c_1100_0^7 - 45603597/16122130*c_1100_0^6 + 9950901/16122130*c_1100_0^5 + 31072869/8061065*c_1100_0^4 - 5026869/8061065*c_1100_0^3 - 893552/8061065*c_1100_0^2 + 86710817/16122130*c_1100_0 - 80769987/16122130, c_1100_0^11 - 2*c_1100_0^10 - 8*c_1100_0^9 + 17*c_1100_0^8 + 25*c_1100_0^7 - 55*c_1100_0^6 - 31*c_1100_0^5 + 74*c_1100_0^4 - 12*c_1100_0^3 - 55*c_1100_0^2 + 151*c_1100_0 - 89 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.250 Total time: 0.450 seconds, Total memory usage: 32.09MB