Magma V2.19-8 Tue Aug 20 2013 16:18:53 on localhost [Seed = 442206060] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3041 geometric_solution 6.21299428 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 1023 0 0 0 0 0 -1 -1 2 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 -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 0.718231785041 0.450284784124 0 3 0 4 0132 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 1 -1 -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 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 0.718231785041 0.450284784124 5 0 3 0 0132 0132 3120 1023 0 0 0 0 0 1 -1 0 1 0 1 -2 -1 1 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 0 0 1 -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 1.393161125567 0.625937062544 6 1 2 4 0132 0132 3120 1230 0 0 0 0 0 0 -1 1 1 0 -1 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 1 0 -1 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 0.470730047891 0.957736032495 3 5 1 5 3012 3201 0132 0213 0 0 0 0 0 0 0 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.673125926921 0.591150099153 2 6 4 4 0132 3201 2310 0213 0 0 0 0 0 0 0 0 -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 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 0.538126593198 0.445678997265 3 6 5 6 0132 1302 2310 2031 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 -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 0.652349559922 0.800587224882 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : 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' : 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_0'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0101_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], '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_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : d['c_0101_5']})} 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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 18217870773594938/12463445338272775*c_0101_5^14 - 740011558370773/2492689067654555*c_0101_5^13 - 23328683084200838/12463445338272775*c_0101_5^12 - 114185839694206768/12463445338272775*c_0101_5^11 - 83153332116583829/12463445338272775*c_0101_5^10 + 376431014402836054/12463445338272775*c_0101_5^9 + 69988663036936932/1133040485297525*c_0101_5^8 + 216839247173004059/12463445338272775*c_0101_5^7 + 133886861764511234/2492689067654555*c_0101_5^6 + 5503540241895443/45321619411901*c_0101_5^5 + 1752479617505167961/12463445338272775*c_0101_5^4 + 1569210789010920316/12463445338272775*c_0101_5^3 - 154430385458445731/12463445338272775*c_0101_5^2 - 482513576181779286/12463445338272775*c_0101_5 - 102429674627766653/12463445338272775, c_0011_0 - 1, c_0011_4 + 5944608354255/45321619411901*c_0101_5^14 - 3311380668633/45321619411901*c_0101_5^13 + 7478096731740/45321619411901*c_0101_5^12 + 31046928198542/45321619411901*c_0101_5^11 + 813755705983/45321619411901*c_0101_5^10 - 140825865204933/45321619411901*c_0101_5^9 - 154405199311684/45321619411901*c_0101_5^8 + 104582122472699/45321619411901*c_0101_5^7 - 185950042406986/45321619411901*c_0101_5^6 - 332942069820077/45321619411901*c_0101_5^5 - 223708949399445/45321619411901*c_0101_5^4 - 116694313007107/45321619411901*c_0101_5^3 + 354930171829125/45321619411901*c_0101_5^2 + 57624269410000/45321619411901*c_0101_5 - 86677470092715/45321619411901, c_0101_0 - 4335175019241/45321619411901*c_0101_5^14 + 288178322129/45321619411901*c_0101_5^13 - 6511737913480/45321619411901*c_0101_5^12 - 24271106625104/45321619411901*c_0101_5^11 - 15344930338700/45321619411901*c_0101_5^10 + 90770057148730/45321619411901*c_0101_5^9 + 160442479349076/45321619411901*c_0101_5^8 + 27859016936419/45321619411901*c_0101_5^7 + 158020833443847/45321619411901*c_0101_5^6 + 302963951943593/45321619411901*c_0101_5^5 + 378580816617662/45321619411901*c_0101_5^4 + 286244931822700/45321619411901*c_0101_5^3 - 84202438662450/45321619411901*c_0101_5^2 - 73037375602857/45321619411901*c_0101_5 - 36522239158914/45321619411901, c_0101_1 + 4335175019241/45321619411901*c_0101_5^14 - 288178322129/45321619411901*c_0101_5^13 + 6511737913480/45321619411901*c_0101_5^12 + 24271106625104/45321619411901*c_0101_5^11 + 15344930338700/45321619411901*c_0101_5^10 - 90770057148730/45321619411901*c_0101_5^9 - 160442479349076/45321619411901*c_0101_5^8 - 27859016936419/45321619411901*c_0101_5^7 - 158020833443847/45321619411901*c_0101_5^6 - 302963951943593/45321619411901*c_0101_5^5 - 378580816617662/45321619411901*c_0101_5^4 - 286244931822700/45321619411901*c_0101_5^3 + 84202438662450/45321619411901*c_0101_5^2 + 73037375602857/45321619411901*c_0101_5 + 36522239158914/45321619411901, c_0101_2 - 2351022323764/45321619411901*c_0101_5^14 - 180091520461/45321619411901*c_0101_5^13 - 2937090000613/45321619411901*c_0101_5^12 - 14897196073727/45321619411901*c_0101_5^11 - 7796525925011/45321619411901*c_0101_5^10 + 47364562235805/45321619411901*c_0101_5^9 + 92894075245548/45321619411901*c_0101_5^8 + 15198516812533/45321619411901*c_0101_5^7 + 90871906382021/45321619411901*c_0101_5^6 + 178214585125194/45321619411901*c_0101_5^5 + 209367766808007/45321619411901*c_0101_5^4 + 218338345300633/45321619411901*c_0101_5^3 - 50559437746554/45321619411901*c_0101_5^2 - 19792865741715/45321619411901*c_0101_5 - 27973195415019/45321619411901, c_0101_3 + 3351383927932/45321619411901*c_0101_5^14 - 2087819133966/45321619411901*c_0101_5^13 + 5038634920404/45321619411901*c_0101_5^12 + 16584905119676/45321619411901*c_0101_5^11 + 128188418836/45321619411901*c_0101_5^10 - 75653278903297/45321619411901*c_0101_5^9 - 84370179893689/45321619411901*c_0101_5^8 + 47728059677996/45321619411901*c_0101_5^7 - 119742680540509/45321619411901*c_0101_5^6 - 164559336989640/45321619411901*c_0101_5^5 - 137624906975000/45321619411901*c_0101_5^4 - 76776010561721/45321619411901*c_0101_5^3 + 226635533080885/45321619411901*c_0101_5^2 + 22143219771509/45321619411901*c_0101_5 - 3582615192164/45321619411901, c_0101_5^15 + c_0101_5^13 + 6*c_0101_5^12 + 3*c_0101_5^11 - 23*c_0101_5^10 - 39*c_0101_5^9 + 2*c_0101_5^8 - 25*c_0101_5^7 - 75*c_0101_5^6 - 72*c_0101_5^5 - 47*c_0101_5^4 + 47*c_0101_5^3 + 37*c_0101_5^2 - 4*c_0101_5 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB