Magma V2.19-8 Tue Aug 20 2013 18:00:06 on localhost [Seed = 1747573924] Type ? for help. Type -D to quit. Loading file "10^3_50__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^3_50 geometric_solution 13.25063959 oriented_manifold CS_known 0.0000000000000006 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 1 2 2 3 0132 0132 1302 0132 1 0 0 2 0 0 0 0 0 0 0 0 -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 -1 0 1 0 0 -1 1 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.611306464616 0.729049996273 0 4 5 4 0132 0132 0132 1230 1 0 2 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 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.569433772889 1.068054012249 0 0 5 4 2031 0132 0321 0132 1 1 2 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 1 -1 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 0.324679567697 0.805393672653 6 4 0 7 0132 1302 0132 0132 1 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 -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 0.878726716528 0.803820243667 1 1 2 3 3012 0132 0132 2031 1 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.324679567697 0.805393672653 6 7 2 1 3120 3120 0321 0132 1 0 0 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 0 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 0.380431232615 0.566754041046 3 8 9 5 0132 0132 0132 3120 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.626070562243 0.833546319546 8 5 3 10 0132 3120 0132 0132 1 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 0 -1 1 1 0 -1 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 0.626070562243 0.833546319546 7 6 10 11 0132 0132 0213 0132 1 0 1 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 -1 0 1 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.258279545847 0.668568406733 11 12 10 6 0132 0132 0132 0132 1 0 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 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 0.881128979692 0.580802996811 13 8 7 9 0132 0213 0132 0132 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 0 0 0 0 0 0 0 -1 1 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 0.552997078023 0.394251074015 9 12 8 13 0132 0213 0132 0132 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 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.475184447564 0.366471683558 13 9 11 13 1230 0132 0213 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 0.802697148064 0.605343799739 10 12 11 12 0132 3012 0132 0213 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 1 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 0 0 0 0.486723438046 1.493313515328 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_5']), 'c_1001_13' : negation(d['c_0011_11']), 'c_1001_12' : d['c_1001_11'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : negation(d['c_1001_5']), 'c_1001_6' : d['c_1001_11'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : d['c_0110_4'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : negation(d['c_0011_5']), 'c_1010_13' : negation(d['c_0011_11']), 'c_1010_12' : d['c_1001_9'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : d['c_1001_9'], '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'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_10'], '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_13' : 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' : negation(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_1001_9'], 'c_0011_13' : negation(d['c_0011_10']), 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : d['c_0101_2'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_1001_5'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_9'], 'c_1100_10' : d['c_0101_2'], 'c_1100_13' : d['c_1001_9'], 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : negation(d['c_0011_5']), 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0011_3'], 's_0_13' : d['1'], 'c_1010_3' : negation(d['c_1001_5']), 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_0110_4'], 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : d['c_1001_11'], 's_3_1' : negation(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_0011_11']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(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' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_13'], 'c_0110_10' : d['c_0101_13'], 'c_0110_13' : d['c_0011_10'], 'c_0110_12' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0011_3'], 'c_0101_12' : d['c_0011_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_11'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_13'], 'c_0101_8' : d['c_0011_10'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_0101_2'], 'c_0110_3' : d['c_0101_11'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0101_13' : d['c_0101_13']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_5, c_0101_1, c_0101_11, c_0101_13, c_0101_2, c_0101_4, c_0110_4, c_1001_11, c_1001_5, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 1824176749988536/881857359481*c_1001_9^9 + 5323984266678528/881857359481*c_1001_9^8 - 9076266515302673/1763714718962*c_1001_9^7 + 1851817871483672/881857359481*c_1001_9^6 - 3934594451279888/881857359481*c_1001_9^5 + 9765597205597763/1763714718962*c_1001_9^4 - 2084816663843558/881857359481*c_1001_9^3 + 1121293979233641/1763714718962*c_1001_9^2 - 189383495423337/881857359481*c_1001_9 - 139834069610679/1763714718962, c_0011_0 - 1, c_0011_10 - 57350396036/17997088969*c_1001_9^9 + 278002185851/17997088969*c_1001_9^8 - 318017003578/17997088969*c_1001_9^7 + 139877355537/17997088969*c_1001_9^6 - 243012298084/17997088969*c_1001_9^5 + 301562336870/17997088969*c_1001_9^4 - 173442022979/17997088969*c_1001_9^3 + 101678439016/17997088969*c_1001_9^2 - 27764974554/17997088969*c_1001_9 - 6932382577/17997088969, c_0011_11 - 225876500184/17997088969*c_1001_9^9 + 590690798374/17997088969*c_1001_9^8 - 486432720795/17997088969*c_1001_9^7 + 249385896796/17997088969*c_1001_9^6 - 449166685361/17997088969*c_1001_9^5 + 533929645611/17997088969*c_1001_9^4 - 252311179471/17997088969*c_1001_9^3 + 76811018791/17997088969*c_1001_9^2 - 22035111712/17997088969*c_1001_9 - 6125281367/17997088969, c_0011_3 - 261280246760/17997088969*c_1001_9^9 + 656416665286/17997088969*c_1001_9^8 - 466471151034/17997088969*c_1001_9^7 + 268917827280/17997088969*c_1001_9^6 - 597421041814/17997088969*c_1001_9^5 + 539828434698/17997088969*c_1001_9^4 - 232793862752/17997088969*c_1001_9^3 + 133630736054/17997088969*c_1001_9^2 - 44629447438/17997088969*c_1001_9 + 792425201/17997088969, c_0011_5 - 296353539380/17997088969*c_1001_9^9 + 746250650699/17997088969*c_1001_9^8 - 505065528167/17997088969*c_1001_9^7 + 286195252184/17997088969*c_1001_9^6 - 641919744842/17997088969*c_1001_9^5 + 566615139784/17997088969*c_1001_9^4 - 248529650096/17997088969*c_1001_9^3 + 118473152357/17997088969*c_1001_9^2 - 21751060995/17997088969*c_1001_9 - 2039270136/17997088969, c_0101_1 - 1, c_0101_11 - 296353539380/17997088969*c_1001_9^9 + 746250650699/17997088969*c_1001_9^8 - 505065528167/17997088969*c_1001_9^7 + 286195252184/17997088969*c_1001_9^6 - 641919744842/17997088969*c_1001_9^5 + 566615139784/17997088969*c_1001_9^4 - 248529650096/17997088969*c_1001_9^3 + 118473152357/17997088969*c_1001_9^2 - 21751060995/17997088969*c_1001_9 - 2039270136/17997088969, c_0101_13 - 79147887768/17997088969*c_1001_9^9 + 336977780898/17997088969*c_1001_9^8 - 436685279064/17997088969*c_1001_9^7 + 230717784897/17997088969*c_1001_9^6 - 268525751538/17997088969*c_1001_9^5 + 390599848949/17997088969*c_1001_9^4 - 251917458662/17997088969*c_1001_9^3 + 125923464278/17997088969*c_1001_9^2 - 31548407472/17997088969*c_1001_9 - 3431706756/17997088969, c_0101_2 - 261280246760/17997088969*c_1001_9^9 + 656416665286/17997088969*c_1001_9^8 - 466471151034/17997088969*c_1001_9^7 + 268917827280/17997088969*c_1001_9^6 - 597421041814/17997088969*c_1001_9^5 + 539828434698/17997088969*c_1001_9^4 - 232793862752/17997088969*c_1001_9^3 + 133630736054/17997088969*c_1001_9^2 - 44629447438/17997088969*c_1001_9 + 792425201/17997088969, c_0101_4 - 1, c_0110_4 - 261280246760/17997088969*c_1001_9^9 + 656416665286/17997088969*c_1001_9^8 - 466471151034/17997088969*c_1001_9^7 + 268917827280/17997088969*c_1001_9^6 - 597421041814/17997088969*c_1001_9^5 + 539828434698/17997088969*c_1001_9^4 - 232793862752/17997088969*c_1001_9^3 + 133630736054/17997088969*c_1001_9^2 - 44629447438/17997088969*c_1001_9 - 17204663768/17997088969, c_1001_11 + 57350396036/17997088969*c_1001_9^9 - 278002185851/17997088969*c_1001_9^8 + 318017003578/17997088969*c_1001_9^7 - 139877355537/17997088969*c_1001_9^6 + 243012298084/17997088969*c_1001_9^5 - 301562336870/17997088969*c_1001_9^4 + 173442022979/17997088969*c_1001_9^3 - 101678439016/17997088969*c_1001_9^2 + 27764974554/17997088969*c_1001_9 + 6932382577/17997088969, c_1001_5 - 1, c_1001_9^10 - 191/68*c_1001_9^9 + 9/4*c_1001_9^8 - 67/68*c_1001_9^7 + 38/17*c_1001_9^6 - 42/17*c_1001_9^5 + c_1001_9^4 - 7/17*c_1001_9^3 + 9/68*c_1001_9^2 + 1/17*c_1001_9 + 1/68 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.290 seconds, Total memory usage: 32.09MB