Magma V2.19-8 Tue Aug 20 2013 16:18:17 on localhost [Seed = 1696921681] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2493 geometric_solution 5.81834723 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 -1 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 -1 1 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 0 0 0 1.989094382077 0.675084873003 0 2 3 0 0132 0132 0132 3201 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 0 0 0 -1 0 1 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 0.237368240506 0.663952934252 4 1 5 6 0132 0132 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.255157533208 0.621199689944 5 6 4 1 1023 1023 2310 0132 0 0 0 0 0 0 0 0 0 0 -1 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 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 0.255157533208 0.621199689944 2 3 4 4 0132 3201 1230 3012 0 0 0 0 0 -1 0 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 1 -1 0 0 1 -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 0.888602362237 1.928291846468 5 3 5 2 2310 1023 3201 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 0.830919519329 1.382426867510 3 6 2 6 1023 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581970038858 0.371250724237 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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_0' : d['1'], 's_2_0' : 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' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : 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_0'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0110_6'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0110_6'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} 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_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 1493559771053038474903/1339364174949525897216*c_0110_6^12 + 5590157865345318364351/1339364174949525897216*c_0110_6^10 - 4086767013032294950003/1339364174949525897216*c_0110_6^8 + 3781852787081681633839/334841043737381474304*c_0110_6^6 - 51299633467697277165/3235179166544748544*c_0110_6^4 - 9006624169515440676643/1339364174949525897216*c_0110_6^2 - 11213375912179122380423/1339364174949525897216, c_0011_0 - 1, c_0011_3 + 850539916684393/19817770107562824*c_0110_6^13 - 1072223318140011/6605923369187608*c_0110_6^11 + 811209269723173/19817770107562824*c_0110_6^9 - 381226063098631/1651480842296902*c_0110_6^7 + 97877450857849/143607029764948*c_0110_6^5 + 23313843472952869/19817770107562824*c_0110_6^3 - 452031114281357/6605923369187608*c_0110_6, c_0101_0 - 131285854515439/646231633942266*c_0110_6^13 + 529098109420981/646231633942266*c_0110_6^11 - 486804113546041/646231633942266*c_0110_6^9 + 700787763612695/323115816971133*c_0110_6^7 - 123690235690025/35901757441237*c_0110_6^5 - 367604574040969/646231633942266*c_0110_6^3 - 717424839199043/646231633942266*c_0110_6, c_0101_1 - 7423015025608/323115816971133*c_0110_6^12 + 34288030546861/323115816971133*c_0110_6^10 - 41800195816675/323115816971133*c_0110_6^8 + 105680650235098/323115816971133*c_0110_6^6 - 21755568955315/35901757441237*c_0110_6^4 + 107089836059714/323115816971133*c_0110_6^2 - 219929447187971/323115816971133, c_0101_2 + 795969207966673/7431663790336059*c_0110_6^12 - 2920800499486297/7431663790336059*c_0110_6^10 + 2437968379799305/7431663790336059*c_0110_6^8 - 8955926198882989/7431663790336059*c_0110_6^6 + 41382127240955/35901757441237*c_0110_6^4 + 2044860706250548/7431663790336059*c_0110_6^2 + 3898877500161752/7431663790336059, c_0101_4 - 13224463104162037/59453310322688472*c_0110_6^13 + 47850295448001589/59453310322688472*c_0110_6^11 - 32841619962545353/59453310322688472*c_0110_6^9 + 33775821536323693/14863327580672118*c_0110_6^7 - 411476635660723/143607029764948*c_0110_6^5 - 94853350953420553/59453310322688472*c_0110_6^3 - 59359300335892661/59453310322688472*c_0110_6, c_0110_6^14 - 641/169*c_0110_6^12 + 461/169*c_0110_6^10 - 1604/169*c_0110_6^8 + 2362/169*c_0110_6^6 + 1309/169*c_0110_6^4 + 697/169*c_0110_6^2 - 512/169 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB