Magma V2.19-8 Wed Aug 21 2013 00:52:11 on localhost [Seed = 374342472] Type ? for help. Type -D to quit. Loading file "L11n90__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n90 geometric_solution 11.66385491 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 1 0132 1230 0132 2031 1 1 0 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 1 0 -1 0 0 0 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 0.083273870719 1.133713654564 0 0 0 3 0132 1302 3012 0132 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 0 0 0 0 0 -1 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 0.935558569494 0.877323571647 4 5 3 0 0132 0132 3012 0132 1 1 1 1 0 0 0 0 0 0 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 2 -3 0 1 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.064441430506 0.877323571647 6 2 1 7 0132 1230 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 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 0 0 0 0 0.559427872108 0.461086204248 2 8 9 5 0132 0132 0132 1023 1 1 1 1 0 0 0 0 0 0 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 -3 3 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.068933477824 1.412062583792 10 2 11 4 0132 0132 0132 1023 1 1 1 1 0 0 0 0 0 0 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 -2 2 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.279432852400 1.153445296793 3 7 12 9 0132 2103 0132 3120 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 0 0 -1 0 1 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 0.513240907233 0.811764713219 12 6 3 10 0132 2103 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 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.719707554798 1.486886239721 10 4 9 12 1023 0132 0213 2031 1 1 1 1 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 0 -1 1 0 0 0 0 0 -2 0 2 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.597835526948 0.602161531876 6 8 11 4 3120 0213 1023 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 1 -1 0 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 -0.036330160042 0.944205658229 5 8 7 11 0132 1023 0132 2031 1 1 1 1 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 0 0 0 0 0 0 0 3 0 0 -3 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434808101633 0.669683363072 12 10 9 5 2103 1302 1023 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 0 0 -1 0 1 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 -0.154829049929 0.611456108335 7 8 11 6 0132 1302 2103 0132 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 1 -1 0 -1 0 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.353399886143 0.229685903701 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_5'], 'c_1001_10' : d['c_0011_9'], 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0011_12'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0011_12']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_0_11' : 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_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : 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' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_11'], 'c_1100_4' : negation(d['c_1100_11']), 'c_1100_7' : negation(d['c_1001_0']), 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_1001_3']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : negation(d['c_1001_3']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_1100_11']), 'c_1100_11' : d['c_1100_11'], 'c_1100_10' : negation(d['c_1001_0']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_9'], 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : d['c_0011_12'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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_0101_5']), 's_1_7' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : d['c_0011_10'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(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' : d['c_0011_10'], 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0101_10'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_5'], 'c_0101_8' : d['c_0011_9'], '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' : d['c_0101_0'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_0']})} 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_0011_3, c_0011_9, c_0101_0, c_0101_10, c_0101_5, c_0101_6, c_1001_0, c_1001_3, c_1100_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 64083788841799/206419794875*c_1100_11^3 + 99719802141797/33027167180*c_1100_11^2 + 10126563943036811/1651358359000*c_1100_11 + 602137358881909/206419794875, c_0011_0 - 1, c_0011_10 + 81200/53579*c_1100_11^3 + 7996/53579*c_1100_11^2 - 20000/53579*c_1100_11 + 1915/53579, c_0011_11 - 198824/53579*c_1100_11^3 - 55094/53579*c_1100_11^2 + 26009/53579*c_1100_11 - 89650/53579, c_0011_12 + 58812/53579*c_1100_11^3 + 23549/53579*c_1100_11^2 + 23785/53579*c_1100_11 + 17078/53579, c_0011_3 + 81200/53579*c_1100_11^3 + 7996/53579*c_1100_11^2 - 20000/53579*c_1100_11 + 55494/53579, c_0011_9 + 176436/53579*c_1100_11^3 + 70647/53579*c_1100_11^2 - 35803/53579*c_1100_11 + 51234/53579, c_0101_0 - 1, c_0101_10 - 117624/53579*c_1100_11^3 - 47098/53579*c_1100_11^2 + 6009/53579*c_1100_11 - 34156/53579, c_0101_5 + 172260/53579*c_1100_11^3 + 105751/53579*c_1100_11^2 - 11812/53579*c_1100_11 + 55728/53579, c_0101_6 - 81200/53579*c_1100_11^3 - 7996/53579*c_1100_11^2 + 20000/53579*c_1100_11 - 1915/53579, c_1001_0 - 162400/53579*c_1100_11^3 - 15992/53579*c_1100_11^2 + 40000/53579*c_1100_11 - 57409/53579, c_1001_3 + 162400/53579*c_1100_11^3 + 15992/53579*c_1100_11^2 - 40000/53579*c_1100_11 + 110988/53579, c_1100_11^4 + 143/116*c_1100_11^3 + 11/58*c_1100_11^2 + 25/116*c_1100_11 + 37/116 ], 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_0011_3, c_0011_9, c_0101_0, c_0101_10, c_0101_5, c_0101_6, c_1001_0, c_1001_3, c_1100_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 422317206466402/53352616075*c_1100_11^5 + 140042469242884/2808032425*c_1100_11^4 + 1221568987124887/21341046430*c_1100_11^3 + 653946503044249/42682092860*c_1100_11^2 - 966005249406543/426820928600*c_1100_11 + 18621949684531/106705232150, c_0011_0 - 1, c_0011_10 + 1153385312/51055135*c_1100_11^5 + 339499776/51055135*c_1100_11^4 - 84050200/10211027*c_1100_11^3 + 92576588/10211027*c_1100_11^2 + 388043944/51055135*c_1100_11 + 1091933/51055135, c_0011_11 + 2370863504/51055135*c_1100_11^5 + 592079112/51055135*c_1100_11^4 - 193380384/10211027*c_1100_11^3 + 201653318/10211027*c_1100_11^2 + 740911893/51055135*c_1100_11 - 90098934/51055135, c_0011_12 + 137701864/10211027*c_1100_11^5 + 79165788/10211027*c_1100_11^4 - 54427072/10211027*c_1100_11^3 + 42784585/10211027*c_1100_11^2 + 66171267/10211027*c_1100_11 + 2208122/10211027, c_0011_3 + 1153385312/51055135*c_1100_11^5 + 339499776/51055135*c_1100_11^4 - 84050200/10211027*c_1100_11^3 + 92576588/10211027*c_1100_11^2 + 388043944/51055135*c_1100_11 - 49963202/51055135, c_0011_9 - 927004216/51055135*c_1100_11^5 - 505666948/51055135*c_1100_11^4 + 89792736/10211027*c_1100_11^3 - 70736191/10211027*c_1100_11^2 - 392111287/51055135*c_1100_11 + 28017146/51055135, c_0101_0 - 1, c_0101_10 + 238494896/51055135*c_1100_11^5 + 109838008/51055135*c_1100_11^4 - 35365664/10211027*c_1100_11^3 + 27951606/10211027*c_1100_11^2 + 112310087/51055135*c_1100_11 - 39057756/51055135, c_0101_5 - 1329294856/51055135*c_1100_11^5 - 478658388/51055135*c_1100_11^4 + 121732156/10211027*c_1100_11^3 - 105573021/10211027*c_1100_11^2 - 489702312/51055135*c_1100_11 + 55168656/51055135, c_0101_6 - 1153385312/51055135*c_1100_11^5 - 339499776/51055135*c_1100_11^4 + 84050200/10211027*c_1100_11^3 - 92576588/10211027*c_1100_11^2 - 388043944/51055135*c_1100_11 - 1091933/51055135, c_1001_0 + 2306770624/51055135*c_1100_11^5 + 678999552/51055135*c_1100_11^4 - 168100400/10211027*c_1100_11^3 + 185153176/10211027*c_1100_11^2 + 776087888/51055135*c_1100_11 - 48871269/51055135, c_1001_3 - 2306770624/51055135*c_1100_11^5 - 678999552/51055135*c_1100_11^4 + 168100400/10211027*c_1100_11^3 - 185153176/10211027*c_1100_11^2 - 776087888/51055135*c_1100_11 + 99926404/51055135, c_1100_11^6 + 23/74*c_1100_11^5 - 16/37*c_1100_11^4 + 125/296*c_1100_11^3 + 51/148*c_1100_11^2 - 13/296*c_1100_11 + 1/296 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.030 Total time: 1.240 seconds, Total memory usage: 32.09MB