Magma V2.19-8 Wed Aug 21 2013 00:55:03 on localhost [Seed = 307497079] Type ? for help. Type -D to quit. Loading file "L12n890__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n890 geometric_solution 12.36876059 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 1 0 0 0 -1 1 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 -1 -2 3 0 0 -1 1 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631829481373 0.809660923616 0 4 6 5 0132 2103 0132 0132 0 0 0 1 0 0 0 0 0 0 0 0 0 -1 0 1 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 -2 0 2 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.877001395929 0.496495864741 7 0 7 8 0132 0132 3012 0132 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 1 -1 0 -1 0 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 0.465390417717 1.023461728701 9 8 8 0 0132 3120 2103 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 -2 2 0 0 -1 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400972829990 0.767626244168 10 1 0 9 0132 2103 0132 0213 0 0 0 1 0 1 -1 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 2 -3 1 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 0.942514434138 1.579821495379 11 11 1 12 0132 1230 0132 0132 0 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 0 0 0 0 0 0 0 -1 0 0 1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476194171418 0.703800842782 10 12 8 1 3120 2031 2031 0132 0 0 1 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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.141598634733 0.717442285504 2 2 10 11 0132 1230 0321 2031 0 0 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 0 0 0 0 0 2 -2 1 0 0 -1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400972829990 0.767626244168 3 3 2 6 2103 3120 0132 1302 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 -1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.465390417717 1.023461728701 3 12 11 4 0132 2310 0132 0213 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 1 -1 0 0 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 0.440351148054 0.617711629362 4 12 7 6 0132 0132 0321 3120 0 0 1 0 0 1 -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 0 0 2 -2 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 0.240043428630 0.455133668783 5 7 5 9 0132 1302 3012 0132 0 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 1 0 -1 0 0 0 0 -2 2 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.340539441198 0.974663120474 6 10 5 9 1302 0132 0132 3201 0 0 0 1 0 -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 -2 0 2 0 0 0 0 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.689494824395 1.356991482656 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_6']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0110_12']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : negation(d['c_0011_8']), 'c_1001_3' : d['c_0011_8'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_1001_10']), 'c_1001_8' : negation(d['c_0011_8']), 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : negation(d['c_1001_10']), 'c_1010_10' : negation(d['c_0011_6']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_6']), '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' : 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_0101_6'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0110_12']), 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0110_12']), 'c_1100_3' : negation(d['c_0110_12']), 'c_1100_2' : d['c_0101_6'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_5']), 'c_1100_10' : negation(d['c_0101_6']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_1001_5']), 'c_1010_3' : negation(d['c_0011_8']), 'c_1010_2' : negation(d['c_0011_8']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0110_12']), 'c_1010_8' : negation(d['c_0011_3']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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_0011_3'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : 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' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], '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_0101_0'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : negation(d['c_0011_6']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : d['c_0011_11'], '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_0101_10']), '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_0101_10']), 'c_0110_8' : d['c_0110_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_5']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_10']), 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0101_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_3, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_0110_12, c_1001_10, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 58224018933/398729611*c_1001_5^5 - 8585428774757/9968240275*c_1001_5^4 + 800335587808/374745875*c_1001_5^3 - 27076957416862/9968240275*c_1001_5^2 + 17030629749034/9968240275*c_1001_5 - 2858666983743/7120171625, c_0011_0 - 1, c_0011_10 + 273077/68381*c_1001_5^5 - 29431908/1709525*c_1001_5^4 + 269086366/8547625*c_1001_5^3 - 43386878/1709525*c_1001_5^2 + 13358771/1709525*c_1001_5 - 288251/449875, c_0011_11 + 364041/68381*c_1001_5^5 - 39544214/1709525*c_1001_5^4 + 333359453/8547625*c_1001_5^3 - 45708874/1709525*c_1001_5^2 + 5392268/1709525*c_1001_5 + 382467/449875, c_0011_3 - 11300/3599*c_1001_5^5 + 62533/3599*c_1001_5^4 - 730391/17995*c_1001_5^3 + 170625/3599*c_1001_5^2 - 93357/3599*c_1001_5 + 83044/17995, c_0011_6 - 399176/68381*c_1001_5^5 + 58254629/1709525*c_1001_5^4 - 705103658/8547625*c_1001_5^3 + 172630239/1709525*c_1001_5^2 - 103117273/1709525*c_1001_5 + 6184288/449875, c_0011_8 + 85961/68381*c_1001_5^5 - 8019769/1709525*c_1001_5^4 + 59661688/8547625*c_1001_5^3 - 6930004/1709525*c_1001_5^2 + 1135628/1709525*c_1001_5 - 181618/449875, c_0101_0 - 1, c_0101_1 + 4187/1121*c_1001_5^5 - 668723/28025*c_1001_5^4 + 8510871/140125*c_1001_5^3 - 2158143/28025*c_1001_5^2 + 1241651/28025*c_1001_5 - 55181/7375, c_0101_10 - 110136/68381*c_1001_5^5 + 11040844/1709525*c_1001_5^4 - 73709463/8547625*c_1001_5^3 + 2362679/1709525*c_1001_5^2 + 9282622/1709525*c_1001_5 - 700607/449875, c_0101_6 + 16532/68381*c_1001_5^5 - 8067853/1709525*c_1001_5^4 + 158179631/8547625*c_1001_5^3 - 55167173/1709525*c_1001_5^2 + 43523911/1709525*c_1001_5 - 2622041/449875, c_0110_12 + 526413/68381*c_1001_5^5 - 67649302/1709525*c_1001_5^4 + 732864554/8547625*c_1001_5^3 - 158446582/1709525*c_1001_5^2 + 80131824/1709525*c_1001_5 - 4131119/449875, c_1001_10 + 11300/3599*c_1001_5^5 - 62533/3599*c_1001_5^4 + 730391/17995*c_1001_5^3 - 170625/3599*c_1001_5^2 + 93357/3599*c_1001_5 - 101039/17995, c_1001_5^6 - 154/25*c_1001_5^5 + 2038/125*c_1001_5^4 - 2882/125*c_1001_5^3 + 444/25*c_1001_5^2 - 857/125*c_1001_5 + 133/125 ], 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_3, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_0110_12, c_1001_10, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 575911703/53702352*c_1001_5^7 + 148619519/26851176*c_1001_5^6 - 530247193/53702352*c_1001_5^5 - 6072481/2441016*c_1001_5^4 - 96291551/17900784*c_1001_5^3 - 138092/3356397*c_1001_5^2 - 19993349/6712794*c_1001_5 - 3637660/3356397, c_0011_0 - 1, c_0011_10 + 19261/7534*c_1001_5^7 + 168/3767*c_1001_5^6 - 29835/7534*c_1001_5^5 + 20731/3767*c_1001_5^4 - 20425/7534*c_1001_5^3 + 6159/3767*c_1001_5^2 - 3954/3767*c_1001_5 + 10983/3767, c_0011_11 + 703103/165748*c_1001_5^7 - 1573901/165748*c_1001_5^6 + 1635745/165748*c_1001_5^5 - 74421/15068*c_1001_5^4 + 246833/165748*c_1001_5^3 - 437697/165748*c_1001_5^2 + 319769/82874*c_1001_5 - 69115/41437, c_0011_3 - 231421/82874*c_1001_5^7 + 274445/82874*c_1001_5^6 - 193077/82874*c_1001_5^5 + 1837/7534*c_1001_5^4 + 50613/82874*c_1001_5^3 - 41677/82874*c_1001_5^2 - 11468/41437*c_1001_5 - 38095/41437, c_0011_6 + 269161/165748*c_1001_5^7 - 823629/165748*c_1001_5^6 + 1104935/165748*c_1001_5^5 - 63345/15068*c_1001_5^4 + 389175/165748*c_1001_5^3 - 263389/165748*c_1001_5^2 + 259175/82874*c_1001_5 - 87277/41437, c_0011_8 + 723299/165748*c_1001_5^7 - 1890635/165748*c_1001_5^6 + 1947661/165748*c_1001_5^5 - 117395/15068*c_1001_5^4 + 841449/165748*c_1001_5^3 - 566903/165748*c_1001_5^2 + 268883/82874*c_1001_5 - 84240/41437, c_0101_0 - 1, c_0101_1 + 703103/165748*c_1001_5^7 - 1573901/165748*c_1001_5^6 + 1635745/165748*c_1001_5^5 - 74421/15068*c_1001_5^4 + 246833/165748*c_1001_5^3 - 437697/165748*c_1001_5^2 + 319769/82874*c_1001_5 - 69115/41437, c_0101_10 - 321419/165748*c_1001_5^7 + 497605/165748*c_1001_5^6 - 173351/165748*c_1001_5^5 - 7555/15068*c_1001_5^4 + 377/165748*c_1001_5^3 + 44245/165748*c_1001_5^2 - 32361/41437*c_1001_5 - 15407/41437, c_0101_6 - 1, c_0110_12 - 321419/165748*c_1001_5^7 + 497605/165748*c_1001_5^6 - 173351/165748*c_1001_5^5 - 7555/15068*c_1001_5^4 + 377/165748*c_1001_5^3 + 44245/165748*c_1001_5^2 - 32361/41437*c_1001_5 - 15407/41437, c_1001_10 - 3621/82874*c_1001_5^7 - 210041/82874*c_1001_5^6 + 353423/82874*c_1001_5^5 - 15601/7534*c_1001_5^4 - 54291/82874*c_1001_5^3 - 14295/82874*c_1001_5^2 + 52444/41437*c_1001_5 - 65103/41437, c_1001_5^8 - 39/17*c_1001_5^7 + 53/17*c_1001_5^6 - 45/17*c_1001_5^5 + 29/17*c_1001_5^4 - 19/17*c_1001_5^3 + 20/17*c_1001_5^2 - 12/17*c_1001_5 + 8/17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.710 Total time: 0.920 seconds, Total memory usage: 32.09MB