Magma V2.19-8 Mon Sep 9 2013 20:34:25 on localhost [Seed = 409215841] Type ? for help. Type -D to quit. Loading file "10_101__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_101 geometric_solution 14.68750684 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 16 1 2 3 4 0132 0132 0132 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 1 0 0 -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 0.695601851893 0.926967885268 0 5 5 6 0132 0132 0321 0132 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 6 -5 -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 0.041703683675 0.697883241408 7 0 8 6 0132 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.248545907880 1.502824061542 7 9 4 0 2310 0132 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 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 0.986019193989 0.710007229092 3 7 0 10 2103 2310 0132 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 1 -1 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 0.986019193989 0.710007229092 7 1 1 11 1023 0132 0321 0132 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 -6 5 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 0.041703683675 0.697883241408 2 12 1 9 3201 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.563756809445 1.062301610450 2 5 3 4 0132 1023 3201 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.695601851893 0.926967885268 13 11 12 2 0132 3012 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.245683673313 0.519979931538 12 3 6 13 3012 0132 2031 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.343268199942 0.377783178924 14 13 4 14 0132 3201 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 -1 0 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 0.556681514731 0.903167147704 8 15 5 15 1230 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.398610195271 0.601750666736 8 6 14 9 2310 0132 3012 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 -0.198247978393 0.928268861016 8 15 10 9 0132 3012 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.050190537211 1.250654730550 10 12 15 10 0132 1230 1023 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 -1 0 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 0.556681514731 0.903167147704 13 11 14 11 1230 0132 1023 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.398610195271 0.601750666736 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : d['c_0101_14'], 'c_1001_14' : d['c_0101_15'], 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : negation(d['c_0101_13']), 'c_1001_13' : d['c_0011_11'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : negation(d['c_0101_11']), 'c_1001_7' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0110_6']), 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : negation(d['c_0101_11']), 'c_1001_9' : negation(d['c_0110_6']), 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_13' : negation(d['c_0101_15']), 'c_1010_12' : d['c_0101_9'], 'c_1010_11' : d['c_0101_14'], 'c_1010_10' : negation(d['c_0011_11']), 'c_1010_15' : d['c_1001_1'], 'c_1010_14' : d['c_0011_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_0_13' : d['1'], 's_0_14' : d['1'], 's_3_14' : 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'], 'c_0101_15' : d['c_0101_15'], 'c_0101_14' : d['c_0101_14'], '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_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_14' : d['1'], 's_2_15' : 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_0011_15' : negation(d['c_0011_11']), 'c_0011_14' : negation(d['c_0011_10']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_1'], 'c_1100_4' : negation(d['c_0101_10']), 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : d['c_0101_9'], 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : negation(d['c_0101_10']), 'c_1100_3' : negation(d['c_0101_10']), 'c_1100_2' : negation(d['c_0011_12']), 'c_1100_15' : d['c_0101_14'], 'c_1100_14' : negation(d['c_0101_14']), 'c_1100_11' : d['c_1001_1'], 'c_1100_10' : negation(d['c_0101_10']), 'c_1100_13' : d['c_0011_10'], 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_1001_1'], 's_3_12' : d['1'], 'c_1010_3' : negation(d['c_0110_6']), 'c_1010_2' : negation(d['c_0110_6']), 'c_1010_1' : d['c_0101_9'], 'c_1010_0' : negation(d['c_0101_11']), 's_3_15' : d['1'], 'c_1010_9' : d['c_0011_3'], 's_0_15' : d['1'], 'c_1100_8' : negation(d['c_0011_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_0101_15']), '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_3_11' : 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_13']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_3'], 'c_0101_13' : d['c_0101_13'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_13']), 'c_0110_10' : d['c_0101_14'], 'c_0110_13' : d['c_0011_3'], 'c_0110_12' : negation(d['c_0011_3']), 'c_0110_15' : d['c_0011_13'], 'c_0110_14' : d['c_0101_10'], 'c_1010_4' : negation(d['c_0101_13']), 'c_0101_12' : d['c_0011_11'], 'c_0011_7' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 'c_1010_8' : negation(d['c_0101_11']), 'c_0101_7' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_13'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_3'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_15']), 'c_0110_8' : d['c_0101_13'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_13'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_13, c_0101_14, c_0101_15, c_0101_9, c_0110_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 544031084191/1155257*c_1001_1^6 - 655847299920/1155257*c_1001_1^5 - 23032079234/1155257*c_1001_1^4 + 1912388996209/1155257*c_1001_1^3 - 66361300596/60803*c_1001_1^2 + 1726432558857/1155257*c_1001_1 - 387860949687/1155257, c_0011_0 - 1, c_0011_10 + 2583/28177*c_1001_1^6 - 7788/28177*c_1001_1^5 - 37930/28177*c_1001_1^4 - 79883/28177*c_1001_1^3 - 1475/1483*c_1001_1^2 - 9434/28177*c_1001_1 - 10139/28177, c_0011_11 - 11536/28177*c_1001_1^6 - 38982/28177*c_1001_1^5 - 75106/28177*c_1001_1^4 - 79327/28177*c_1001_1^3 - 4754/1483*c_1001_1^2 - 10708/28177*c_1001_1 - 31842/28177, c_0011_12 + 69139/28177*c_1001_1^6 + 149135/28177*c_1001_1^5 + 158619/28177*c_1001_1^4 - 31668/28177*c_1001_1^3 + 11202/1483*c_1001_1^2 - 25347/28177*c_1001_1 + 28172/28177, c_0011_13 - 16002/28177*c_1001_1^6 - 23913/28177*c_1001_1^5 - 21361/28177*c_1001_1^4 + 7629/28177*c_1001_1^3 - 3956/1483*c_1001_1^2 + 33704/28177*c_1001_1 - 39587/28177, c_0011_3 + 1407/1483*c_1001_1^6 + 3860/1483*c_1001_1^5 + 6045/1483*c_1001_1^4 + 2990/1483*c_1001_1^3 + 4363/1483*c_1001_1^2 - 87/1483*c_1001_1 + 1229/1483, c_0101_0 - 14119/28177*c_1001_1^6 - 31194/28177*c_1001_1^5 - 37176/28177*c_1001_1^4 + 556/28177*c_1001_1^3 - 3279/1483*c_1001_1^2 - 1274/28177*c_1001_1 + 6474/28177, c_0101_1 + 14119/28177*c_1001_1^6 + 31194/28177*c_1001_1^5 + 37176/28177*c_1001_1^4 - 556/28177*c_1001_1^3 + 3279/1483*c_1001_1^2 + 1274/28177*c_1001_1 + 21703/28177, c_0101_10 + 1407/1483*c_1001_1^6 + 3860/1483*c_1001_1^5 + 6045/1483*c_1001_1^4 + 2990/1483*c_1001_1^3 + 4363/1483*c_1001_1^2 - 87/1483*c_1001_1 + 1229/1483, c_0101_11 + 14119/28177*c_1001_1^6 + 31194/28177*c_1001_1^5 + 37176/28177*c_1001_1^4 - 556/28177*c_1001_1^3 + 3279/1483*c_1001_1^2 + 1274/28177*c_1001_1 - 6474/28177, c_0101_13 + 65751/28177*c_1001_1^6 + 167368/28177*c_1001_1^5 + 214937/28177*c_1001_1^4 + 33327/28177*c_1001_1^3 + 8330/1483*c_1001_1^2 + 5430/28177*c_1001_1 + 18410/28177, c_0101_14 - 65751/28177*c_1001_1^6 - 167368/28177*c_1001_1^5 - 214937/28177*c_1001_1^4 - 33327/28177*c_1001_1^3 - 8330/1483*c_1001_1^2 + 22747/28177*c_1001_1 - 18410/28177, c_0101_15 + 45318/28177*c_1001_1^6 + 89465/28177*c_1001_1^5 + 98286/28177*c_1001_1^4 - 30702/28177*c_1001_1^3 + 6844/1483*c_1001_1^2 - 44791/28177*c_1001_1 + 24622/28177, c_0101_9 + c_1001_1, c_0110_6 + 65751/28177*c_1001_1^6 + 167368/28177*c_1001_1^5 + 214937/28177*c_1001_1^4 + 33327/28177*c_1001_1^3 + 8330/1483*c_1001_1^2 + 5430/28177*c_1001_1 + 18410/28177, c_1001_1^7 + 16/7*c_1001_1^6 + 20/7*c_1001_1^5 + 1/7*c_1001_1^4 + 20/7*c_1001_1^3 - 6/7*c_1001_1^2 + 4/7*c_1001_1 - 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 444.660 Total time: 444.870 seconds, Total memory usage: 2222.88MB