Magma V2.19-8 Wed Aug 21 2013 01:07:39 on localhost [Seed = 610417983] Type ? for help. Type -D to quit. Loading file "L14n33665__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33665 geometric_solution 12.33860417 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 1 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 -2 1 1 1 0 -1 0 0 0 0 0 -5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.742098937986 1.001569879553 0 5 7 6 0132 0132 0132 0132 0 0 1 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 -1 0 1 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 0.158646673221 0.728726004516 8 0 7 5 0132 0132 3120 0132 0 0 1 0 0 1 -1 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 2 -2 0 0 0 0 0 -1 -4 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727687825161 1.412468259664 9 6 4 0 0132 0132 3012 0132 0 0 1 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 -1 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 0.687055756573 0.473518496470 10 3 0 7 0132 1230 0132 0321 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 1 -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 0.511730304249 0.644031802298 8 1 2 10 1023 0132 0132 0321 0 0 0 1 0 0 0 0 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 0 0 0 2 0 0 -2 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.155793677996 0.921382469295 9 3 1 8 2103 0132 0132 2103 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617738810537 0.577755023309 11 4 2 1 0132 0321 3120 0132 0 0 0 0 0 0 0 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 0 0 0 1 0 0 -1 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.316332493929 1.352066860162 2 5 12 6 0132 1023 0132 2103 0 0 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 0 0 0 0 -2 2 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 0.054670564060 0.722400835427 3 11 6 10 0132 1230 2103 1023 0 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 0 0 0 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 0.697168494293 1.384154218812 4 5 12 9 0132 0321 1023 1023 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 -1 0 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.311128500190 1.056662030775 7 12 9 12 0132 2103 3012 2310 1 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 0 -1 1 -1 0 0 1 2 -2 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.449220580448 0.850156858497 11 11 10 8 3201 2103 1023 0132 0 0 1 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 2 0 -2 0 0 0 0 -1 0 0 1 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536756833504 0.828512263075 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0110_6'], 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_1001_2']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : d['c_0101_5'], 'c_1010_11' : negation(d['c_0101_5']), 'c_1010_10' : d['c_0101_3'], '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'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0011_11'], '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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_12'], 'c_1100_4' : negation(d['c_1001_2']), 'c_1100_7' : negation(d['c_0101_2']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_1001_2']), 'c_1100_3' : negation(d['c_1001_2']), 'c_1100_2' : d['c_0101_12'], 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0110_6']), 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_0110_6'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_3'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_1'], 'c_1010_8' : negation(d['c_0011_10']), '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_0110_6']), '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_12']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_11']), '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_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_12']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_5'], 'c_0101_7' : negation(d['c_0101_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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' : d['c_0101_5'], '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' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0110_6']), '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_11, c_0011_12, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_3, c_0101_5, c_0110_6, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 2931608549110816870/14358753432309*c_1001_2^10 - 18612709161545327683/14358753432309*c_1001_2^9 - 27971414100873779651/14358753432309*c_1001_2^8 - 113572940522086675199/57435013729236*c_1001_2^7 - 1054372679576905171/9572502288206*c_1001_2^6 + 33172353157220756075/57435013729236*c_1001_2^5 + 81457885522966335287/57435013729236*c_1001_2^4 - 576190685640107275/57435013729236*c_1001_2^3 - 602386747186834138/4786251144103*c_1001_2^2 - 8428892675440565005/19145004576412*c_1001_2 + 2420755176843336416/14358753432309, c_0011_0 - 1, c_0011_10 + 27976536/23020673*c_1001_2^10 + 171504436/23020673*c_1001_2^9 + 221559632/23020673*c_1001_2^8 + 163713955/23020673*c_1001_2^7 - 166057917/23020673*c_1001_2^6 - 295079305/23020673*c_1001_2^5 - 369791115/23020673*c_1001_2^4 - 84672052/23020673*c_1001_2^3 + 21096994/23020673*c_1001_2^2 + 70106407/23020673*c_1001_2 - 5060971/23020673, c_0011_11 + 12486208/23020673*c_1001_2^10 + 98390840/23020673*c_1001_2^9 + 238004660/23020673*c_1001_2^8 + 284331264/23020673*c_1001_2^7 + 158327791/23020673*c_1001_2^6 - 25612897/23020673*c_1001_2^5 - 143362144/23020673*c_1001_2^4 - 120309195/23020673*c_1001_2^3 - 58232348/23020673*c_1001_2^2 + 13815762/23020673*c_1001_2 - 14367562/23020673, c_0011_12 + 3303790436/299268749*c_1001_2^10 + 22667452566/299268749*c_1001_2^9 + 43097314844/299268749*c_1001_2^8 + 107918559625/598537498*c_1001_2^7 + 59158926115/598537498*c_1001_2^6 + 11029317023/598537498*c_1001_2^5 - 20270253511/299268749*c_1001_2^4 - 10892106396/299268749*c_1001_2^3 - 6859327019/598537498*c_1001_2^2 + 10421124553/598537498*c_1001_2 + 883893447/598537498, c_0101_0 - 1506631276/299268749*c_1001_2^10 - 10493433186/299268749*c_1001_2^9 - 20483887876/299268749*c_1001_2^8 - 49694304795/598537498*c_1001_2^7 - 24075299257/598537498*c_1001_2^6 + 2611998359/598537498*c_1001_2^5 + 12751149063/299268749*c_1001_2^4 + 6895564305/299268749*c_1001_2^3 + 2039389037/598537498*c_1001_2^2 - 6959066593/598537498*c_1001_2 - 902215689/598537498, c_0101_1 - 1, c_0101_12 + 70765904/23020673*c_1001_2^10 + 518457216/23020673*c_1001_2^9 + 1140885012/23020673*c_1001_2^8 + 1536385414/23020673*c_1001_2^7 + 1119304767/23020673*c_1001_2^6 + 402956896/23020673*c_1001_2^5 - 310136248/23020673*c_1001_2^4 - 344944222/23020673*c_1001_2^3 - 149722518/23020673*c_1001_2^2 + 46804444/23020673*c_1001_2 + 6930506/23020673, c_0101_2 - 85729392/23020673*c_1001_2^10 - 601327408/23020673*c_1001_2^9 - 1209420060/23020673*c_1001_2^8 - 1563794142/23020673*c_1001_2^7 - 904108615/23020673*c_1001_2^6 - 149939601/23020673*c_1001_2^5 + 611038970/23020673*c_1001_2^4 + 407751258/23020673*c_1001_2^3 + 159410734/23020673*c_1001_2^2 - 125104704/23020673*c_1001_2 - 17614334/23020673, c_0101_3 + 6887440/23020673*c_1001_2^10 + 34705480/23020673*c_1001_2^9 - 2102808/23020673*c_1001_2^8 - 88655614/23020673*c_1001_2^7 - 209419656/23020673*c_1001_2^6 - 214740522/23020673*c_1001_2^5 - 164518503/23020673*c_1001_2^4 - 62424569/23020673*c_1001_2^3 - 7119005/23020673*c_1001_2^2 + 802839/23020673*c_1001_2 + 5057843/23020673, c_0101_5 - 2096096792/299268749*c_1001_2^10 - 14366176540/299268749*c_1001_2^9 - 27030876852/299268749*c_1001_2^8 - 32562255919/299268749*c_1001_2^7 - 15515609680/299268749*c_1001_2^6 + 461334795/299268749*c_1001_2^5 + 15488997922/299268749*c_1001_2^4 + 7894443885/299268749*c_1001_2^3 + 1654568912/299268749*c_1001_2^2 - 3562027150/299268749*c_1001_2 - 300174101/299268749, c_0110_6 + 136784216/23020673*c_1001_2^10 + 965290756/23020673*c_1001_2^9 + 1953384152/23020673*c_1001_2^8 + 2480886003/23020673*c_1001_2^7 + 1466142001/23020673*c_1001_2^6 + 222962403/23020673*c_1001_2^5 - 989016738/23020673*c_1001_2^4 - 728886564/23020673*c_1001_2^3 - 235240599/23020673*c_1001_2^2 + 199656736/23020673*c_1001_2 + 43204544/23020673, c_1001_0 - 700329892/299268749*c_1001_2^10 - 4664259478/299268749*c_1001_2^9 - 8085879452/299268749*c_1001_2^8 - 18048774153/598537498*c_1001_2^7 - 5674473659/598537498*c_1001_2^6 + 3279486805/598537498*c_1001_2^5 + 5388933029/299268749*c_1001_2^4 + 1961339066/299268749*c_1001_2^3 - 179225851/598537498*c_1001_2^2 - 3007384463/598537498*c_1001_2 - 376657819/598537498, c_1001_2^11 + 13/2*c_1001_2^10 + 21/2*c_1001_2^9 + 89/8*c_1001_2^8 + 2*c_1001_2^7 - 11/4*c_1001_2^6 - 59/8*c_1001_2^5 - c_1001_2^4 + 5/8*c_1001_2^3 + 9/4*c_1001_2^2 - 1/2*c_1001_2 - 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.540 Total time: 0.750 seconds, Total memory usage: 32.09MB