Magma V2.19-8 Wed Aug 21 2013 01:07:37 on localhost [Seed = 4256949479] Type ? for help. Type -D to quit. Loading file "L14n33576__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33576 geometric_solution 11.96417904 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 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 1 0 -1 1 0 -1 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.009753578563 0.519140638068 0 4 6 5 0132 3120 0132 0132 1 0 0 1 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 0 0 1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.036177675616 1.925580593957 5 0 8 7 3120 0132 0132 0132 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 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 0.777161814391 1.143858992772 9 6 4 0 0132 2031 3201 0132 1 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 0 0 0 2 0 -3 1 -2 -1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.864148204242 0.852480706558 3 1 0 5 2310 3120 0132 0321 1 0 0 1 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 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.135263673040 1.108363370002 10 4 1 2 0132 0321 0132 3120 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 -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 0.182307584920 1.143994438474 3 7 8 1 1302 2103 2103 0132 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 -1 0 1 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 0.164084431737 0.842267909797 11 6 2 8 0132 2103 0132 0321 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 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 0.980548079733 0.622340842685 6 7 12 2 2103 0321 0132 0132 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 1 -1 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 0.980548079733 0.622340842685 3 11 11 10 0132 3201 3012 0321 1 0 0 0 0 -1 1 0 1 0 0 -1 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 4 -3 -1 -2 0 0 2 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482593657383 0.598862445676 5 9 12 12 0132 0321 0213 0132 1 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 1 -1 0 -1 0 1 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 0.184164254743 1.012390822383 7 9 9 12 0132 1230 2310 1230 0 0 0 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 0 0 0 0 0 0 0 2 0 -2 1 3 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482593657383 0.598862445676 11 10 10 8 3012 0213 0132 0132 1 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 1 0 -1 0 0 0 0 0 -1 0 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482593657383 0.598862445676 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_1001_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_1001_8'], 'c_1010_11' : d['c_0101_0'], 'c_1010_10' : d['c_1001_10'], 's_3_11' : d['1'], 's_3_10' : 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_0011_11'], 'c_0101_10' : d['c_0011_12'], '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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_8'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_7' : d['c_1001_8'], 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_1001_8'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_3']), 'c_1100_10' : d['c_1001_8'], '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_0011_0'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : negation(d['c_1001_1']), '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_1001_8'], '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' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_6'], '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_0011_12'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : negation(d['c_0011_3']), 'c_0101_12' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_12'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_3']), '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_0011_10']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_12'], 'c_0110_5' : d['c_0011_12'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0011_11'], 'c_0110_6' : d['c_0101_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_12, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_1001_1, c_1001_10, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 2077/8*c_1001_8^5 - 9129/8*c_1001_8^4 - 6947/4*c_1001_8^3 - 425/4*c_1001_8^2 - 1485/8*c_1001_8 + 4139/8, c_0011_0 - 1, c_0011_10 + 3/4*c_1001_8^5 + 13/4*c_1001_8^4 + 9/2*c_1001_8^3 - c_1001_8^2 - 1/4*c_1001_8 - 1/4, c_0011_11 - 1/4*c_1001_8^4 - c_1001_8^3 - 3/2*c_1001_8^2 - 1/2*c_1001_8 + 1/4, c_0011_12 + 1/4*c_1001_8^5 + 3/4*c_1001_8^4 - 5/2*c_1001_8^2 - 1/4*c_1001_8 - 5/4, c_0011_3 - 1/2*c_1001_8^5 - 5/2*c_1001_8^4 - 9/2*c_1001_8^3 - 3/2*c_1001_8^2 + 1, c_0011_4 - 1/4*c_1001_8^5 - c_1001_8^4 - c_1001_8^3 + c_1001_8^2 - 1/4*c_1001_8 + 1/2, c_0011_6 + 1/2*c_1001_8^5 + 9/4*c_1001_8^4 + 7/2*c_1001_8^3 - 1/2*c_1001_8 - 3/4, c_0101_0 - 1, c_0101_1 - 1/4*c_1001_8^4 - 1/2*c_1001_8^3 + c_1001_8 - 1/4, c_0101_2 + 1/4*c_1001_8^5 + c_1001_8^4 + 3/2*c_1001_8^3 - 1/2*c_1001_8^2 - 1/4*c_1001_8, c_1001_1 - 1/8*c_1001_8^5 - 5/8*c_1001_8^4 - 3/4*c_1001_8^3 + 3/8*c_1001_8 + 1/8, c_1001_10 + 1/4*c_1001_8^4 + c_1001_8^3 + 3/2*c_1001_8^2 - 1/2*c_1001_8 - 1/4, c_1001_8^6 + 4*c_1001_8^5 + 5*c_1001_8^4 - 2*c_1001_8^3 + c_1001_8^2 - 2*c_1001_8 + 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_12, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_1001_1, c_1001_10, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 334849288211477/227424547520*c_1001_8^9 - 953693910101383/227424547520*c_1001_8^8 + 80997109066313/28428068440*c_1001_8^7 + 19256281446159/45484909504*c_1001_8^6 + 107016505451919/113712273760*c_1001_8^5 - 62321427794417/28428068440*c_1001_8^4 + 120214803054829/113712273760*c_1001_8^3 + 2321742411253833/227424547520*c_1001_8^2 + 1541305615783509/227424547520*c_1001_8 + 442068510811521/227424547520, c_0011_0 - 1, c_0011_10 + 24659788465/5685613688*c_1001_8^9 - 92782478605/5685613688*c_1001_8^8 + 32157128557/1421403422*c_1001_8^7 - 97636358717/5685613688*c_1001_8^6 + 23068616681/1421403422*c_1001_8^5 - 57503191843/2842806844*c_1001_8^4 + 28186803757/1421403422*c_1001_8^3 + 79662654355/5685613688*c_1001_8^2 + 30198523741/5685613688*c_1001_8 - 13822311249/5685613688, c_0011_11 + c_1001_8, c_0011_12 + 4112723641/5685613688*c_1001_8^9 - 12326553581/5685613688*c_1001_8^8 + 2218318907/1421403422*c_1001_8^7 + 3577234747/5685613688*c_1001_8^6 - 1045818549/1421403422*c_1001_8^5 + 333493817/2842806844*c_1001_8^4 - 907293505/1421403422*c_1001_8^3 + 35882337843/5685613688*c_1001_8^2 + 6728250301/5685613688*c_1001_8 + 735526279/5685613688, c_0011_3 - 4112723641/5685613688*c_1001_8^9 + 12326553581/5685613688*c_1001_8^8 - 2218318907/1421403422*c_1001_8^7 - 3577234747/5685613688*c_1001_8^6 + 1045818549/1421403422*c_1001_8^5 - 333493817/2842806844*c_1001_8^4 + 907293505/1421403422*c_1001_8^3 - 35882337843/5685613688*c_1001_8^2 - 6728250301/5685613688*c_1001_8 - 735526279/5685613688, c_0011_4 - 1739799815/2842806844*c_1001_8^9 + 7237384571/2842806844*c_1001_8^8 - 3057706457/710701711*c_1001_8^7 + 12439242371/2842806844*c_1001_8^6 - 3010617418/710701711*c_1001_8^5 + 5985268395/1421403422*c_1001_8^4 - 2473720171/710701711*c_1001_8^3 - 2265516521/2842806844*c_1001_8^2 - 2080099663/2842806844*c_1001_8 - 1610667245/2842806844, c_0011_6 + 1268943/3557956*c_1001_8^9 - 5255405/3557956*c_1001_8^8 + 2410714/889489*c_1001_8^7 - 12593095/3557956*c_1001_8^6 + 7086357/1778978*c_1001_8^5 - 3376929/889489*c_1001_8^4 + 6201391/1778978*c_1001_8^3 - 1765681/3557956*c_1001_8^2 + 2292019/3557956*c_1001_8 + 1086687/3557956, c_0101_0 - 1, c_0101_1 + 1, c_0101_2 - 1268943/3557956*c_1001_8^9 + 5255405/3557956*c_1001_8^8 - 2410714/889489*c_1001_8^7 + 12593095/3557956*c_1001_8^6 - 7086357/1778978*c_1001_8^5 + 3376929/889489*c_1001_8^4 - 6201391/1778978*c_1001_8^3 + 1765681/3557956*c_1001_8^2 - 2292019/3557956*c_1001_8 - 1086687/3557956, c_1001_1 - 362957179/1421403422*c_1001_8^9 + 759578994/710701711*c_1001_8^8 - 1131545971/710701711*c_1001_8^7 + 1188679733/1421403422*c_1001_8^6 - 359235593/1421403422*c_1001_8^5 + 588935853/1421403422*c_1001_8^4 + 7471067/1421403422*c_1001_8^3 - 919073910/710701711*c_1001_8^2 - 124388241/1421403422*c_1001_8 - 185601083/710701711, c_1001_10 - 2777237957/2842806844*c_1001_8^9 + 12033465985/2842806844*c_1001_8^8 - 5118794489/710701711*c_1001_8^7 + 19032603353/2842806844*c_1001_8^6 - 3967054330/710701711*c_1001_8^5 + 9239447421/1421403422*c_1001_8^4 - 4760067066/710701711*c_1001_8^3 - 2970495887/2842806844*c_1001_8^2 + 1487315479/2842806844*c_1001_8 + 1106635081/2842806844, c_1001_8^10 - 50/13*c_1001_8^9 + 73/13*c_1001_8^8 - 61/13*c_1001_8^7 + 57/13*c_1001_8^6 - 66/13*c_1001_8^5 + 66/13*c_1001_8^4 + 35/13*c_1001_8^3 + 14/13*c_1001_8^2 - 2/13*c_1001_8 + 1/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.300 Total time: 0.520 seconds, Total memory usage: 32.09MB