Magma V2.19-8 Tue Aug 20 2013 16:18:42 on localhost [Seed = 425231464] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2866 geometric_solution 6.08647947 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 0 -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 0 0 0 0.553456281907 0.390300744121 0 4 2 3 0132 2031 1302 1230 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 -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 0.659789299577 0.669309912257 1 0 5 5 2031 0132 1302 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 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 0.840584755533 1.176111704820 1 5 6 0 3012 0132 0132 0132 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.452733357957 0.588706522717 1 6 0 5 1302 3012 0132 2103 0 0 0 0 0 0 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 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 0.435147282687 0.912536841686 2 3 2 4 2031 0132 0132 2103 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 -1 0 0 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 0.489573303008 1.163578480430 4 6 6 3 1230 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.719161449870 0.335800069122 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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_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_0_6' : 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_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0101_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], '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_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : negation(d['c_0011_6'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_5, c_0101_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 1755763839739/46913072300*c_1001_0^10 - 2233510757431/187652289200*c_1001_0^9 + 48462422081761/187652289200*c_1001_0^8 - 19700278090569/187652289200*c_1001_0^7 + 53008752428251/93826144600*c_1001_0^6 - 233118189350201/187652289200*c_1001_0^5 - 66344449237827/23456536150*c_1001_0^4 + 70311158352463/187652289200*c_1001_0^3 + 58440812240143/187652289200*c_1001_0^2 + 341164634187019/187652289200*c_1001_0 - 88685941489799/187652289200, c_0011_0 - 1, c_0011_3 + 68729657/938261446*c_1001_0^10 + 7289322/469130723*c_1001_0^9 - 460136607/938261446*c_1001_0^8 + 240005071/938261446*c_1001_0^7 - 585446675/469130723*c_1001_0^6 + 1241014529/469130723*c_1001_0^5 + 4641925459/938261446*c_1001_0^4 - 284420058/469130723*c_1001_0^3 + 558791723/938261446*c_1001_0^2 - 1596331912/469130723*c_1001_0 + 747158920/469130723, c_0011_4 - 612193689/938261446*c_1001_0^10 - 79566523/469130723*c_1001_0^9 + 4231116209/938261446*c_1001_0^8 - 1975100857/938261446*c_1001_0^7 + 4681069545/469130723*c_1001_0^6 - 10426015617/469130723*c_1001_0^5 - 45050744547/938261446*c_1001_0^4 + 4499543603/469130723*c_1001_0^3 + 4038085699/938261446*c_1001_0^2 + 14748805238/469130723*c_1001_0 - 4702509896/469130723, c_0011_6 + 30465901/469130723*c_1001_0^10 - 7420778/469130723*c_1001_0^9 - 226944922/469130723*c_1001_0^8 + 193141220/469130723*c_1001_0^7 - 432502130/469130723*c_1001_0^6 + 1280384270/469130723*c_1001_0^5 + 1885138775/469130723*c_1001_0^4 - 1895988039/469130723*c_1001_0^3 - 1162055386/469130723*c_1001_0^2 - 1639399447/469130723*c_1001_0 + 1053697874/469130723, c_0101_5 + 385637674/469130723*c_1001_0^10 + 103604178/469130723*c_1001_0^9 - 2665204652/469130723*c_1001_0^8 + 1210132479/469130723*c_1001_0^7 - 5886547336/469130723*c_1001_0^6 + 13129808083/469130723*c_1001_0^5 + 28475605294/469130723*c_1001_0^4 - 5219005815/469130723*c_1001_0^3 - 3148414897/469130723*c_1001_0^2 - 18869376244/469130723*c_1001_0 + 5580700954/469130723, c_0101_6 + 73138277/469130723*c_1001_0^10 + 41679844/469130723*c_1001_0^9 - 491110969/469130723*c_1001_0^8 + 90514228/469130723*c_1001_0^7 - 1091921399/469130723*c_1001_0^6 + 2128772214/469130723*c_1001_0^5 + 6007536326/469130723*c_1001_0^4 + 675761512/469130723*c_1001_0^3 + 32012146/469130723*c_1001_0^2 - 3108623748/469130723*c_1001_0 + 488852822/469130723, c_1001_0^11 - 7*c_1001_0^9 + 5*c_1001_0^8 - 16*c_1001_0^7 + 38*c_1001_0^6 + 65*c_1001_0^5 - 34*c_1001_0^4 - 5*c_1001_0^3 - 46*c_1001_0^2 + 28*c_1001_0 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB