Magma V2.19-8 Wed Aug 21 2013 01:01:01 on localhost [Seed = 4020892682] Type ? for help. Type -D to quit. Loading file "L14a1288__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14a1288 geometric_solution 10.66917076 oriented_manifold CS_known -0.0000000000000001 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 -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 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.050399386768 0.981644712389 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 0 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491815643476 0.474920770884 4 5 5 0 0132 0132 1302 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 1 -1 0 0 0 0 0 0 0 0 1 -4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509068871801 0.526247307850 4 6 1 7 2103 0132 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 -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 0.190446674740 0.593599003955 2 8 3 8 0132 0132 2103 1230 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 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 0.359615834172 0.785481170524 2 2 7 9 2031 0132 1230 0132 1 1 1 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 0 0 -1 0 0 1 -3 4 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.050399386768 0.981644712389 9 3 8 7 1023 0132 3120 0321 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 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 0.622739113319 0.691758507302 10 6 3 5 0132 0321 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.484369084484 1.710194003164 4 4 6 9 3012 0132 3120 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 -1 0 1 1 0 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 0.623504314661 0.764776715354 8 6 5 10 3120 1023 0132 0213 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 -0.473245315261 1.159423777877 7 11 11 9 0132 0132 3201 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.361215305642 0.587011192025 10 10 12 12 2310 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.302767471934 1.255263251430 12 11 11 12 3201 3201 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.598360832903 0.152493989628 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_10'], 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_6'], 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : d['c_0101_8'], 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : negation(d['c_0101_11']), 'c_1010_10' : d['c_0101_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'], 'c_0101_12' : negation(d['c_0101_10']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_10'], 'c_1100_8' : negation(d['c_0101_6']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_1001_0']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : d['c_0101_5'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_0011_10'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : negation(d['c_0101_8']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_0011_3'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_12'], 's_1_7' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(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' : d['c_0011_2'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_7' : negation(d['c_0011_10']), '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_2'], 'c_0110_11' : negation(d['c_0101_10']), 'c_0110_10' : d['c_0101_7'], 'c_0110_12' : d['c_0101_10'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_7'], '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' : d['c_0011_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_6'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_7']), 'c_0110_8' : negation(d['c_0101_7']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0011_2'], 'c_0110_7' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], '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_12, c_0011_2, c_0011_3, c_0101_0, c_0101_10, c_0101_11, c_0101_5, c_0101_6, c_0101_7, c_0101_8, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 18727207654891232165888/98377839*c_1001_0^8 - 4119248879223119544320/5177781*c_1001_0^7 - 16885060872195295674368/10930871*c_1001_0^6 - 19721646627927382556672/10930871*c_1001_0^5 - 135784183634148926160896/98377839*c_1001_0^4 - 1219022024451882483712/1725927*c_1001_0^3 - 23198876521284795105280/98377839*c_1001_0^2 - 4620158183186467127296/98377839*c_1001_0 - 140315153906123407360/32792613, c_0011_0 - 1, c_0011_10 + 16384*c_1001_0^8 + 65536*c_1001_0^7 + 120832*c_1001_0^6 + 133120*c_1001_0^5 + 95360*c_1001_0^4 + 45312*c_1001_0^3 + 13904*c_1001_0^2 + 2512*c_1001_0 + 204, c_0011_12 + 64*c_1001_0^4 + 128*c_1001_0^3 + 104*c_1001_0^2 + 40*c_1001_0 + 6, c_0011_2 + 1/2, c_0011_3 - 16384*c_1001_0^8 - 69632*c_1001_0^7 - 136192*c_1001_0^6 - 159232*c_1001_0^5 - 121280*c_1001_0^4 - 61472*c_1001_0^3 - 20216*c_1001_0^2 - 3940*c_1001_0 - 1393/4, c_0101_0 - 1, c_0101_10 - 4*c_1001_0^2 - 4*c_1001_0 - 1, c_0101_11 - 1024*c_1001_0^6 - 3072*c_1001_0^5 - 4096*c_1001_0^4 - 3072*c_1001_0^3 - 1356*c_1001_0^2 - 332*c_1001_0 - 35, c_0101_5 - c_1001_0 - 1, c_0101_6 - c_1001_0 - 1/2, c_0101_7 - 16384*c_1001_0^8 - 69632*c_1001_0^7 - 136192*c_1001_0^6 - 159232*c_1001_0^5 - 121280*c_1001_0^4 - 61472*c_1001_0^3 - 20216*c_1001_0^2 - 3940*c_1001_0 - 1393/4, c_0101_8 + 16384*c_1001_0^8 + 69632*c_1001_0^7 + 136192*c_1001_0^6 + 159232*c_1001_0^5 + 121280*c_1001_0^4 + 61472*c_1001_0^3 + 20216*c_1001_0^2 + 3940*c_1001_0 + 1393/4, c_1001_0^9 + 19/4*c_1001_0^8 + 21/2*c_1001_0^7 + 903/64*c_1001_0^6 + 3241/256*c_1001_0^5 + 8037/1024*c_1001_0^4 + 3437/1024*c_1001_0^3 + 7813/8192*c_1001_0^2 + 10701/65536*c_1001_0 + 3363/262144 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_2, c_0011_3, c_0101_0, c_0101_10, c_0101_11, c_0101_5, c_0101_6, c_0101_7, c_0101_8, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 56555625409605576612739932118528/87072886336497792516995*c_1001_0^9 - 3721262438624217834716286080/1203744886106280397*c_1001_0^8 - 598081821660510401460571744313088/87072886336497792516995*c_1001_0^\ 7 - 26090387799588664049722107133512/2808802785048315887645*c_1001_\ 0^6 - 6038662305477975260459699158158/719610630880147045595*c_1001_\ 0^5 - 911973617874029380139424139805193/174145772672995585033990*c_\ 1001_0^4 - 78456287232369970346833556334147/34829154534599117006798\ *c_1001_0^3 - 895531842751020958391147716701149/1393166181383964680\ 271920*c_1001_0^2 - 4670600005278807250931232272181/423776785211852\ 37422720*c_1001_0 - 384628952726070896838503513913079/4458131780428\ 6869768701440, c_0011_0 - 1, c_0011_10 + 16384*c_1001_0^8 + 65536*c_1001_0^7 + 120832*c_1001_0^6 + 133120*c_1001_0^5 + 95360*c_1001_0^4 + 45312*c_1001_0^3 + 13904*c_1001_0^2 + 2512*c_1001_0 + 204, c_0011_12 + 64*c_1001_0^4 + 128*c_1001_0^3 + 104*c_1001_0^2 + 40*c_1001_0 + 6, c_0011_2 - 1/2, c_0011_3 - 65536*c_1001_0^9 - 294912*c_1001_0^8 - 618496*c_1001_0^7 - 788480*c_1001_0^6 - 670464*c_1001_0^5 - 393088*c_1001_0^4 - 158496*c_1001_0^3 - 42288*c_1001_0^2 - 6761*c_1001_0 - 985/2, c_0101_0 - 1, c_0101_10 - 4*c_1001_0^2 - 4*c_1001_0 - 1, c_0101_11 - 1024*c_1001_0^6 - 3072*c_1001_0^5 - 4096*c_1001_0^4 - 3072*c_1001_0^3 - 1356*c_1001_0^2 - 332*c_1001_0 - 35, c_0101_5 - c_1001_0 - 1, c_0101_6 + c_1001_0 + 1/2, c_0101_7 + 196608*c_1001_0^9 + 950272*c_1001_0^8 + 2134016*c_1001_0^7 + 2910208*c_1001_0^6 + 2648320*c_1001_0^5 + 1664384*c_1001_0^4 + 721376*c_1001_0^3 + 207728*c_1001_0^2 + 36043*c_1001_0 + 5741/2, c_0101_8 + 65536*c_1001_0^9 + 327680*c_1001_0^8 + 757760*c_1001_0^7 + 1060864*c_1001_0^6 + 988928*c_1001_0^5 + 635648*c_1001_0^4 + 281440*c_1001_0^3 + 82720*c_1001_0^2 + 14641*c_1001_0 + 1189, c_1001_0^10 + 23/4*c_1001_0^9 + 123/8*c_1001_0^8 + 1609/64*c_1001_0^7 + 7119/256*c_1001_0^6 + 22245/1024*c_1001_0^5 + 24843/2048*c_1001_0^4 + 39151/8192*c_1001_0^3 + 83313/65536*c_1001_0^2 + 54047/262144*c_1001_0 + 8119/524288 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.360 Total time: 1.570 seconds, Total memory usage: 32.09MB