Magma V2.19-8 Tue Aug 20 2013 17:59:21 on localhost [Seed = 2614767365] Type ? for help. Type -D to quit. Loading file "10^2_58__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_58 geometric_solution 12.97620369 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 1 2 3 4 0132 0132 0132 0132 0 0 1 0 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 -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 0.430958119279 0.870288219212 0 5 7 6 0132 0132 0132 0132 0 0 0 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 1 -1 0 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 0.543053740829 0.922769355953 8 0 7 6 0132 0132 3012 2031 0 0 0 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 -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 0.526300858280 0.804920432467 9 10 7 0 0132 0132 3120 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642703400516 0.843312010561 5 8 0 11 0132 0132 0132 0132 0 0 0 1 0 0 0 0 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 -1 1 0 1 0 -1 0 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.000000000000 1.000000000000 4 1 8 11 0132 0132 1023 3120 0 0 1 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 -1 0 1 -1 0 1 0 0 0 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 12 2 1 9 0132 1302 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.425943326746 1.005335969562 11 2 3 1 3120 1230 3120 0132 0 0 1 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 -1 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 0 0 0.543053740829 0.922769355953 2 4 5 11 0132 0132 1023 0321 0 0 1 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000000000 1.000000000000 3 10 13 6 0132 0321 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.618506728936 0.357195060783 13 3 12 9 2103 0132 3012 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.832107864388 1.309744505678 5 8 4 7 3120 0321 0132 3120 0 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 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 0.000000000000 1.000000000000 6 10 13 13 0132 1230 2310 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.333985788576 0.792339170389 12 12 10 9 3120 3201 2103 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 1.925943326746 1.005335969562 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_10']), 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_13' : d['c_0011_10'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : negation(d['c_1001_3']), 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : negation(d['c_0011_12']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : negation(d['c_1001_12']), 'c_1001_8' : d['c_0101_11'], 'c_1010_13' : negation(d['c_1001_12']), 'c_1010_12' : negation(d['c_0011_13']), 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : d['c_1001_3'], '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_11'], 'c_0101_10' : negation(d['c_0011_13']), 's_2_0' : d['1'], 's_2_1' : negation(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_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : negation(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_0011_10'], 'c_1100_8' : d['c_0101_11'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : d['c_1001_3'], 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : negation(d['c_1001_12']), 'c_1100_13' : d['c_0011_10'], 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : negation(d['c_1001_3']), 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : negation(d['c_0011_12']), 'c_1010_2' : negation(d['c_0011_12']), 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : negation(d['c_0011_7']), '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'], 'c_1100_12' : d['c_0011_13'], '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' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_13' : d['c_0101_0'], 'c_0110_12' : d['c_0101_0'], 's_0_13' : d['1'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_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_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10'], 'c_0101_13' : negation(d['c_0011_13'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_7, c_0101_8, c_1001_12, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 159/200*c_1001_12^5 + 81/100*c_1001_12^4 - 377/100*c_1001_12^3 + 213/50*c_1001_12^2 + 569/200*c_1001_12 - 127/200, c_0011_0 - 1, c_0011_10 + 1/5*c_1001_12^5 + 7/5*c_1001_12^3 + 2/5*c_1001_12, c_0011_11 + 3/5*c_1001_12^5 + 16/5*c_1001_12^3 + 1/5*c_1001_12, c_0011_12 + 3/5*c_1001_12^5 + 16/5*c_1001_12^3 - 9/5*c_1001_12, c_0011_13 + 1/5*c_1001_12^4 + 2/5*c_1001_12^2 + 2/5, c_0011_7 - 3/5*c_1001_12^5 - 16/5*c_1001_12^3 - 1/5*c_1001_12, c_0101_0 - 1, c_0101_1 + 1, c_0101_11 - 1/5*c_1001_12^4 - 7/5*c_1001_12^2 + c_1001_12 + 3/5, c_0101_3 + 3/5*c_1001_12^5 + 16/5*c_1001_12^3 - 9/5*c_1001_12, c_0101_7 + 2*c_1001_12, c_0101_8 - 2*c_1001_12, c_1001_12^6 + 5*c_1001_12^4 - 2*c_1001_12^2 + 1, c_1001_3 + 1 ], Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_7, c_0101_8, c_1001_12, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 13881713/36244832*c_1001_12^9 + 2831097/4530604*c_1001_12^8 + 16849689/579917312*c_1001_12^7 + 19349217/72489664*c_1001_12^6 + 353465821/579917312*c_1001_12^5 + 112453781/72489664*c_1001_12^4 - 458441537/289958656*c_1001_12^3 - 62537209/36244832*c_1001_12^2 + 291261905/579917312*c_1001_12 + 39772737/72489664, c_0011_0 - 1, c_0011_10 - 54802/1132651*c_1001_12^9 - 742641/9061208*c_1001_12^7 + 734755/9061208*c_1001_12^5 + 2078429/4530604*c_1001_12^3 + 3647303/9061208*c_1001_12, c_0011_11 - 294/1963*c_1001_12^9 - 8459/15704*c_1001_12^7 - 17071/15704*c_1001_12^5 - 8093/7852*c_1001_12^3 + 6309/15704*c_1001_12, c_0011_12 + 251278/1132651*c_1001_12^9 + 4600927/9061208*c_1001_12^7 + 4028515/9061208*c_1001_12^5 + 1163977/4530604*c_1001_12^3 - 16188881/9061208*c_1001_12, c_0011_13 - 68784/1132651*c_1001_12^8 - 203155/1132651*c_1001_12^6 - 180152/1132651*c_1001_12^4 + 601004/1132651*c_1001_12^2 + 127539/1132651, c_0011_7 - 294/1963*c_1001_12^9 - 8459/15704*c_1001_12^7 - 17071/15704*c_1001_12^5 - 8093/7852*c_1001_12^3 + 6309/15704*c_1001_12, c_0101_0 - 1, c_0101_1 - 1, c_0101_11 - 210458/1132651*c_1001_12^9 + 116384/1132651*c_1001_12^8 - 4740885/9061208*c_1001_12^7 + 449130/1132651*c_1001_12^6 - 6939241/9061208*c_1001_12^5 + 802513/1132651*c_1001_12^4 - 2916819/4530604*c_1001_12^3 + 662173/1132651*c_1001_12^2 + 9914587/9061208*c_1001_12 + 91669/1132651, c_0101_3 + 251278/1132651*c_1001_12^9 + 4600927/9061208*c_1001_12^7 + 4028515/9061208*c_1001_12^5 + 1163977/4530604*c_1001_12^3 - 16188881/9061208*c_1001_12, c_0101_7 + 420916/1132651*c_1001_12^9 + 4740885/4530604*c_1001_12^7 + 6939241/4530604*c_1001_12^5 + 2916819/2265302*c_1001_12^3 - 9914587/4530604*c_1001_12, c_0101_8 - 420916/1132651*c_1001_12^9 - 4740885/4530604*c_1001_12^7 - 6939241/4530604*c_1001_12^5 - 2916819/2265302*c_1001_12^3 + 9914587/4530604*c_1001_12, c_1001_12^10 + 41/16*c_1001_12^8 + 45/16*c_1001_12^6 + 15/8*c_1001_12^4 - 95/16*c_1001_12^2 + 4, c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.390 seconds, Total memory usage: 32.09MB