Magma V2.19-8 Wed Aug 21 2013 00:47:25 on localhost [Seed = 2050780703] Type ? for help. Type -D to quit. Loading file "K14n7865__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n7865 geometric_solution 11.35036785 oriented_manifold CS_known -0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 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 -1 0 1 0 0 0 0 1 -1 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.380568600404 1.010988366453 0 4 6 5 0132 0132 0132 0132 0 0 0 0 0 1 -1 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 5 -5 0 0 0 0 0 -6 1 0 5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.351003231111 0.303576322007 0 0 8 7 3012 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 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 0.440627827825 0.719158906309 9 10 8 0 0132 0132 1302 0132 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 0 0 0 0 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.029260064100 0.948887709792 11 1 11 9 0132 0132 3120 3201 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 -5 5 0 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.940769836105 0.708057831519 6 12 1 12 2310 0132 0132 2310 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 0 0 0 0 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.114867091748 1.463931249086 11 9 5 1 1230 3201 3201 0132 0 0 0 0 0 0 -1 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 0 -5 5 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.276623640537 1.335568650449 8 12 2 11 2103 1230 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 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 2.013672352798 1.051397860137 3 10 7 2 2031 0321 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 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 0.203964755544 0.785796570985 3 4 6 10 0132 2310 2310 3120 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 -1 -5 6 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 0.649452433460 0.403376848982 9 3 12 8 3120 0132 1230 0321 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 -1 0 0 1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.275785218501 0.416252554257 4 6 4 7 0132 3012 3120 2103 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 1 -1 -1 0 0 1 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.940769836105 0.708057831519 5 5 7 10 3201 0132 3012 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452371564582 0.576365463259 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_6']), 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : negation(d['c_0011_7']), 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : negation(d['c_1001_1']), 'c_1001_8' : d['c_0011_7'], 'c_1010_12' : d['c_0011_6'], 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : d['c_0101_2'], 's_3_11' : 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_0011_10'], 'c_0101_10' : negation(d['c_0011_6']), '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' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_12'], 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : negation(d['c_0101_4']), 'c_1100_6' : d['c_0011_12'], 'c_1100_1' : d['c_0011_12'], 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : negation(d['c_0101_4']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_4']), 'c_1100_10' : d['c_0011_7'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_12'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0011_7']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0101_2'], 'c_1100_8' : negation(d['c_0101_4']), '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_1001_0']), '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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_4'], 'c_0110_10' : negation(d['c_0011_8']), 'c_0110_12' : d['c_0011_7'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_12'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0101_12']), 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : negation(d['c_0011_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_12, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_12, c_0101_2, c_0101_4, c_0101_7, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 15019960024017547/4843389181663364*c_1001_0^9 - 138682560942042091/16951862135821774*c_1001_0^8 - 279363776109439803/16951862135821774*c_1001_0^7 + 36361048240631834/8475931067910887*c_1001_0^6 + 896426623245512537/8475931067910887*c_1001_0^5 - 9436528271442909493/33903724271643548*c_1001_0^4 + 1825344909561156367/33903724271643548*c_1001_0^3 + 5976678850439259/721355835566884*c_1001_0^2 - 66956027980539953/33903724271643548*c_1001_0 - 80806130208894315/16951862135821774, c_0011_0 - 1, c_0011_10 - 38652/23048041*c_1001_0^9 + 89082/23048041*c_1001_0^8 + 372219/23048041*c_1001_0^7 + 24704/23048041*c_1001_0^6 - 2111681/23048041*c_1001_0^5 - 817594/23048041*c_1001_0^4 + 356950/23048041*c_1001_0^3 + 1258/23048041*c_1001_0^2 - 60502/23048041*c_1001_0 - 32619455/23048041, c_0011_12 + 11150896/23048041*c_1001_0^9 - 27967993/23048041*c_1001_0^8 - 66839826/23048041*c_1001_0^7 + 17628861/23048041*c_1001_0^6 + 402730419/23048041*c_1001_0^5 - 956503851/23048041*c_1001_0^4 - 67069215/23048041*c_1001_0^3 + 380307802/23048041*c_1001_0^2 - 67105068/23048041*c_1001_0 - 4916178/23048041, c_0011_6 + 11150896/23048041*c_1001_0^9 - 27967993/23048041*c_1001_0^8 - 66839826/23048041*c_1001_0^7 + 17628861/23048041*c_1001_0^6 + 402730419/23048041*c_1001_0^5 - 956503851/23048041*c_1001_0^4 - 67069215/23048041*c_1001_0^3 + 380307802/23048041*c_1001_0^2 - 67105068/23048041*c_1001_0 - 51012260/23048041, c_0011_7 + 12098843/23048041*c_1001_0^9 - 27494456/23048041*c_1001_0^8 - 76313817/23048041*c_1001_0^7 - 4245702/23048041*c_1001_0^6 + 417175519/23048041*c_1001_0^5 - 945009067/23048041*c_1001_0^4 - 205154160/23048041*c_1001_0^3 + 189687563/23048041*c_1001_0^2 - 122370756/23048041*c_1001_0 - 4669074/23048041, c_0011_8 + 7892778/23048041*c_1001_0^9 - 19678991/23048041*c_1001_0^8 - 47260061/23048041*c_1001_0^7 + 11320171/23048041*c_1001_0^6 + 282554357/23048041*c_1001_0^5 - 676886697/23048041*c_1001_0^4 - 47122404/23048041*c_1001_0^3 + 268884986/23048041*c_1001_0^2 - 47515954/23048041*c_1001_0 - 52390044/23048041, c_0101_0 - 1, c_0101_12 + 1389562/23048041*c_1001_0^9 + 604205/23048041*c_1001_0^8 - 17986090/23048041*c_1001_0^7 - 23094194/23048041*c_1001_0^6 + 51085200/23048041*c_1001_0^5 + 25297620/23048041*c_1001_0^4 - 334186128/23048041*c_1001_0^3 - 679685/23048041*c_1001_0^2 + 57055800/23048041*c_1001_0 - 45431375/23048041, c_0101_2 - 9571414/23048041*c_1001_0^9 + 19104176/23048041*c_1001_0^8 + 67088980/23048041*c_1001_0^7 + 19515047/23048041*c_1001_0^6 - 334974786/23048041*c_1001_0^5 + 648744471/23048041*c_1001_0^4 + 382038966/23048041*c_1001_0^3 - 133642846/23048041*c_1001_0^2 - 9570156/23048041*c_1001_0 + 19082326/23048041, c_0101_4 - 7931430/23048041*c_1001_0^9 + 19768073/23048041*c_1001_0^8 + 47632280/23048041*c_1001_0^7 - 11295467/23048041*c_1001_0^6 - 284666038/23048041*c_1001_0^5 + 676069103/23048041*c_1001_0^4 + 47479354/23048041*c_1001_0^3 - 268883728/23048041*c_1001_0^2 + 47455452/23048041*c_1001_0 + 19770589/23048041, c_0101_7 - 9571414/23048041*c_1001_0^9 + 19104176/23048041*c_1001_0^8 + 67088980/23048041*c_1001_0^7 + 19515047/23048041*c_1001_0^6 - 334974786/23048041*c_1001_0^5 + 648744471/23048041*c_1001_0^4 + 382038966/23048041*c_1001_0^3 - 133642846/23048041*c_1001_0^2 - 32618197/23048041*c_1001_0 + 19082326/23048041, c_1001_0^10 - 2*c_1001_0^9 - 7*c_1001_0^8 - 2*c_1001_0^7 + 35*c_1001_0^6 - 68*c_1001_0^5 - 40*c_1001_0^4 + 14*c_1001_0^3 + c_1001_0^2 - 2*c_1001_0 - 1, c_1001_1 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 6.670 Total time: 6.889 seconds, Total memory usage: 64.12MB