Magma V2.19-10 Fri Nov 15 2013 17:59:17 on iw-h31-4 [Seed = 903987226] +-------------------------------------------------------------------+ | This copy of Magma has been made available through a | | generous initiative of the | | | | Simons Foundation | | | | covering U.S. Colleges, Universities, Nonprofit Research entities,| | and their students, faculty, and staff | +-------------------------------------------------------------------+ Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation 10_123 geometric_solution 17.08570948 oriented_manifold CS_unknown 1 0 torus 0.000000000000 0.000000000000 18 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 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 1 0 0 0 1 -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 0.190983005625 0.587785252292 0 5 6 3 0132 0132 0132 0132 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 1 0 -1 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 -0.309016994375 0.951056516295 7 0 9 8 0132 0132 0132 0132 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 1 -1 0 0 0 1 -1 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.688190960236 10 6 1 0 0132 0132 0132 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 0 1 -1 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 0.500000000000 1.538841768588 9 8 0 6 0132 0132 0132 0132 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 -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 0.500000000000 0.688190960236 7 1 11 11 1023 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0.690983005625 0.951056516295 7 3 4 1 3120 0132 0132 0132 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.690983005625 0.951056516295 2 5 12 6 0132 1023 0132 3120 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 1.538841768588 13 4 2 14 0132 0132 0132 0132 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 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 0.690983005625 0.951056516295 4 14 12 2 0132 0132 3120 0132 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 -1 1 1 0 0 -1 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.690983005625 0.951056516295 3 11 15 15 0132 1023 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.690983005625 0.951056516295 10 5 16 5 1023 0321 0132 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 0 1 -1 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 0.500000000000 0.688190960236 13 15 9 7 3120 3120 3120 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 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 0.190983005625 0.587785252292 8 16 17 12 0132 1023 0132 3120 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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.688190960236 16 9 8 17 1023 0132 0132 0132 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 -1 0 1 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 0.500000000000 1.538841768588 10 12 17 10 3120 3120 0213 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 0 -1 -1 0 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 0.309016994375 0.951056516295 13 14 17 11 1023 1023 1302 0132 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 1 0 -1 0 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 0.190983005625 0.587785252292 16 15 14 13 2031 0213 0132 0132 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.363271264003 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : negation(d['c_1001_12']), 'c_1001_14' : d['c_1001_14'], 'c_1001_17' : negation(d['c_1001_12']), 'c_1001_16' : d['c_0101_13'], 'c_1001_11' : d['c_0101_17'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_13' : negation(d['c_0011_17']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : d['c_1001_14'], 'c_1001_7' : negation(d['c_0011_15']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_14'], 'c_1001_9' : negation(d['c_1001_12']), 'c_1001_8' : d['c_1001_0'], 'c_1010_13' : negation(d['c_0011_12']), 'c_1010_12' : negation(d['c_0011_15']), 'c_1010_11' : d['c_1001_1'], 'c_1010_10' : negation(d['c_0011_15']), 'c_1010_17' : negation(d['c_0011_17']), 'c_1010_16' : d['c_0101_17'], 'c_1010_15' : negation(d['c_0011_12']), 'c_1010_14' : negation(d['c_1001_12']), 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_0_16' : d['1'], 's_3_16' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_12']), 'c_0101_10' : d['c_0101_0'], 'c_0101_17' : d['c_0101_17'], 'c_0101_16' : negation(d['c_0011_17']), 'c_0101_15' : d['c_0011_17'], 'c_0101_14' : d['c_0101_13'], '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' : negation(d['1']), 's_2_11' : d['1'], 's_2_16' : d['1'], 's_2_17' : d['1'], 's_2_14' : d['1'], 's_2_15' : 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_15' : d['c_0011_15'], 'c_0011_14' : d['c_0011_13'], 'c_0011_17' : d['c_0011_17'], 'c_0011_16' : d['c_0011_13'], 'c_1100_9' : negation(d['c_0101_12']), 'c_1100_8' : negation(d['c_0101_12']), 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_17'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_12']), 'c_1100_14' : negation(d['c_0101_12']), 'c_1100_15' : negation(d['c_0011_17']), 's_3_11' : d['1'], 'c_1100_17' : negation(d['c_0101_12']), 'c_1100_16' : d['c_0101_17'], 'c_1100_11' : d['c_0101_17'], 'c_1100_10' : negation(d['c_0011_17']), 'c_1100_13' : negation(d['c_0101_12']), 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 's_0_13' : d['1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : d['c_1001_14'], 's_3_15' : negation(d['1']), 'c_1010_9' : d['c_1001_14'], 's_0_15' : negation(d['1']), 's_3_17' : d['1'], 's_0_17' : d['1'], '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_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_0101_6']), 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_13']), 'c_0011_8' : negation(d['c_0011_13']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_13'], 'c_0101_13' : d['c_0101_13'], 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_15']), 'c_0110_10' : d['c_0101_0'], 'c_0110_13' : d['c_0101_7'], 'c_0110_12' : d['c_0101_7'], 'c_0110_15' : d['c_0101_0'], 'c_0110_14' : d['c_0101_17'], 'c_0110_17' : d['c_0101_13'], 'c_0110_16' : negation(d['c_0011_12']), 'c_1010_4' : d['c_1001_0'], 'c_0101_12' : d['c_0101_12'], 'c_0011_7' : d['c_0011_0'], 's_0_8' : d['1'], 's_0_9' : d['1'], 'c_1010_8' : d['c_1001_14'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_15']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_6'], 'c_0101_8' : d['c_0101_7'], 'c_0011_10' : d['c_0011_10'], 's_1_17' : d['1'], 's_1_16' : d['1'], 's_1_15' : d['1'], 's_1_14' : d['1'], '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_1'], 'c_0110_8' : d['c_0101_13'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY_DECOMPOSITION_TIME: 19324.000 PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 19 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_13, c_0011_15, c_0011_17, c_0101_0, c_0101_1, c_0101_12, c_0101_13, c_0101_17, c_0101_6, c_0101_7, c_1001_0, c_1001_1, c_1001_12, c_1001_14, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 144/5*c_1100_0^3 + 466/5*c_1100_0^2 - 122*c_1100_0 + 233/5, c_0011_0 - 1, c_0011_10 - c_1100_0^3 + 2*c_1100_0^2 - 2*c_1100_0, c_0011_12 - c_1100_0^3 + 2*c_1100_0^2 - 2*c_1100_0, c_0011_13 - c_1100_0^3 + 3*c_1100_0^2 - 3*c_1100_0 + 1, c_0011_15 - c_1100_0^3 + c_1100_0^2 - 1, c_0011_17 - c_1100_0^2 + c_1100_0 - 1, c_0101_0 + c_1100_0, c_0101_1 + c_1100_0^2 - c_1100_0 + 1, c_0101_12 + c_1100_0^2 - c_1100_0 + 1, c_0101_13 + c_1100_0, c_0101_17 + c_1100_0, c_0101_6 - c_1100_0^3 + 3*c_1100_0^2 - 2*c_1100_0, c_0101_7 - c_1100_0^3 + 3*c_1100_0^2 - 2*c_1100_0, c_1001_0 - c_1100_0^3 + 3*c_1100_0^2 - 3*c_1100_0 + 1, c_1001_1 + c_1100_0^2 - c_1100_0 + 1, c_1001_12 - 1, c_1001_14 + c_1100_0, c_1100_0^4 - 3*c_1100_0^3 + 4*c_1100_0^2 - 2*c_1100_0 + 1 ], Ideal of Polynomial ring of rank 19 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_13, c_0011_15, c_0011_17, c_0101_0, c_0101_1, c_0101_12, c_0101_13, c_0101_17, c_0101_6, c_0101_7, c_1001_0, c_1001_1, c_1001_12, c_1001_14, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 390335377673123523643/390927689391489750360*c_1100_0^9 + 2085773050769266218197/390927689391489750360*c_1100_0^8 - 22437138362872422809/1173957025199668920*c_1100_0^7 + 2966619792513923706943/78185537878297950072*c_1100_0^6 - 31200648423026004304673/390927689391489750360*c_1100_0^5 + 32557906140543168637027/390927689391489750360*c_1100_0^4 - 1470448016160372717947/27923406385106410740*c_1100_0^3 + 697136668038211059499/21718204966193875020*c_1100_0^2 - 349727506293686505059/13961703192553205370*c_1100_0 - 250046682276029627669/43436409932387750040, c_0011_0 - 1, c_0011_10 + 19323476/220049387*c_1100_0^9 - 108014814/220049387*c_1100_0^8 + 396465409/220049387*c_1100_0^7 - 835455760/220049387*c_1100_0^6 + 1768907028/220049387*c_1100_0^5 - 2084174841/220049387*c_1100_0^4 + 1620680689/220049387*c_1100_0^3 - 1144101896/220049387*c_1100_0^2 + 1196710701/220049387*c_1100_0 - 476218308/220049387, c_0011_12 - 2794464/220049387*c_1100_0^9 + 25658245/220049387*c_1100_0^8 - 111121675/220049387*c_1100_0^7 + 316199917/220049387*c_1100_0^6 - 642196081/220049387*c_1100_0^5 + 1115968100/220049387*c_1100_0^4 - 1036881090/220049387*c_1100_0^3 + 816623614/220049387*c_1100_0^2 - 322203381/220049387*c_1100_0 + 261938790/220049387, c_0011_13 - 42892026/220049387*c_1100_0^9 + 238334790/220049387*c_1100_0^8 - 873593275/220049387*c_1100_0^7 + 1815753375/220049387*c_1100_0^6 - 3822397461/220049387*c_1100_0^5 + 4390540157/220049387*c_1100_0^4 - 3359273959/220049387*c_1100_0^3 + 2088997353/220049387*c_1100_0^2 - 2013699045/220049387*c_1100_0 + 323644755/220049387, c_0011_15 + 21749588/220049387*c_1100_0^9 - 123442016/220049387*c_1100_0^8 + 454363480/220049387*c_1100_0^7 - 959708142/220049387*c_1100_0^6 + 1998339704/220049387*c_1100_0^5 - 2342819448/220049387*c_1100_0^4 + 1726934148/220049387*c_1100_0^3 - 947983818/220049387*c_1100_0^2 + 1168627732/220049387*c_1100_0 - 382842423/220049387, c_0011_17 + 17777031/220049387*c_1100_0^9 - 100707623/220049387*c_1100_0^8 + 368853814/220049387*c_1100_0^7 - 770182594/220049387*c_1100_0^6 + 1588721556/220049387*c_1100_0^5 - 1831015417/220049387*c_1100_0^4 + 1281505154/220049387*c_1100_0^3 - 755744858/220049387*c_1100_0^2 + 883879876/220049387*c_1100_0 - 120983238/220049387, c_0101_0 - 15350919/220049387*c_1100_0^9 + 85280421/220049387*c_1100_0^8 - 310955743/220049387*c_1100_0^7 + 645930212/220049387*c_1100_0^6 - 1359288880/220049387*c_1100_0^5 + 1572370810/220049387*c_1100_0^4 - 1175251695/220049387*c_1100_0^3 + 951862936/220049387*c_1100_0^2 - 911962845/220049387*c_1100_0 + 214359123/220049387, c_0101_1 - 17777031/220049387*c_1100_0^9 + 100707623/220049387*c_1100_0^8 - 368853814/220049387*c_1100_0^7 + 770182594/220049387*c_1100_0^6 - 1588721556/220049387*c_1100_0^5 + 1831015417/220049387*c_1100_0^4 - 1281505154/220049387*c_1100_0^3 + 755744858/220049387*c_1100_0^2 - 883879876/220049387*c_1100_0 + 120983238/220049387, c_0101_12 - 9687627/220049387*c_1100_0^9 + 70128956/220049387*c_1100_0^8 - 289443115/220049387*c_1100_0^7 + 752730295/220049387*c_1100_0^6 - 1597025518/220049387*c_1100_0^5 + 2532349150/220049387*c_1100_0^4 - 2560176080/220049387*c_1100_0^3 + 1831056326/220049387*c_1100_0^2 - 1104234699/220049387*c_1100_0 + 896872614/220049387, c_0101_13 - 85962922/660148161*c_1100_0^9 + 445293782/660148161*c_1100_0^8 - 530103977/220049387*c_1100_0^7 + 3078447143/660148161*c_1100_0^6 - 6626981732/660148161*c_1100_0^5 + 6484247050/660148161*c_1100_0^4 - 4501553419/660148161*c_1100_0^3 + 811830116/220049387*c_1100_0^2 - 3011150486/660148161*c_1100_0 - 197333598/220049387, c_0101_17 + c_1100_0, c_0101_6 - 9184059/220049387*c_1100_0^9 + 69303936/220049387*c_1100_0^8 - 291178778/220049387*c_1100_0^7 + 776179702/220049387*c_1100_0^6 - 1646524638/220049387*c_1100_0^5 + 2643192095/220049387*c_1100_0^4 - 2693820453/220049387*c_1100_0^3 + 1985523033/220049387*c_1100_0^2 - 1281382963/220049387*c_1100_0 + 805719807/220049387, c_0101_7 - 46038550/660148161*c_1100_0^9 + 312637685/660148161*c_1100_0^8 - 414781877/220049387*c_1100_0^7 + 3072090131/660148161*c_1100_0^6 - 6393364946/660148161*c_1100_0^5 + 9583868632/660148161*c_1100_0^4 - 8851863475/660148161*c_1100_0^3 + 2168567762/220049387*c_1100_0^2 - 4411826309/660148161*c_1100_0 + 970824471/220049387, c_1001_0 - 38985391/660148161*c_1100_0^9 + 176243819/660148161*c_1100_0^8 - 191176859/220049387*c_1100_0^7 + 867843425/660148161*c_1100_0^6 - 1938170825/660148161*c_1100_0^5 + 878910511/660148161*c_1100_0^4 + 261978389/660148161*c_1100_0^3 + 59803581/220049387*c_1100_0^2 - 1056142061/660148161*c_1100_0 - 262966485/220049387, c_1001_1 - 29095465/660148161*c_1100_0^9 + 133559654/660148161*c_1100_0^8 - 151838397/220049387*c_1100_0^7 + 761812277/660148161*c_1100_0^6 - 1759060556/660148161*c_1100_0^5 + 1156973686/660148161*c_1100_0^4 - 850416037/660148161*c_1100_0^3 + 252862166/220049387*c_1100_0^2 - 741626579/660148161*c_1100_0 - 197461461/220049387, c_1001_12 - 2351053/220049387*c_1100_0^9 + 45464622/220049387*c_1100_0^8 - 223605018/220049387*c_1100_0^7 + 734748902/220049387*c_1100_0^6 - 1485064707/220049387*c_1100_0^5 + 2901652707/220049387*c_1100_0^4 - 3037947288/220049387*c_1100_0^3 + 2108764181/220049387*c_1100_0^2 - 1338610803/220049387*c_1100_0 + 1233790956/220049387, c_1001_14 - 85962922/660148161*c_1100_0^9 + 445293782/660148161*c_1100_0^8 - 530103977/220049387*c_1100_0^7 + 3078447143/660148161*c_1100_0^6 - 6626981732/660148161*c_1100_0^5 + 6484247050/660148161*c_1100_0^4 - 4501553419/660148161*c_1100_0^3 + 811830116/220049387*c_1100_0^2 - 3011150486/660148161*c_1100_0 - 197333598/220049387, c_1100_0^10 - 5*c_1100_0^9 + 18*c_1100_0^8 - 35*c_1100_0^7 + 80*c_1100_0^6 - 82*c_1100_0^5 + 82*c_1100_0^4 - 72*c_1100_0^3 + 68*c_1100_0^2 - 9*c_1100_0 + 27 ], Ideal of Polynomial ring of rank 19 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_13, c_0011_15, c_0011_17, c_0101_0, c_0101_1, c_0101_12, c_0101_13, c_0101_17, c_0101_6, c_0101_7, c_1001_0, c_1001_1, c_1001_12, c_1001_14, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 2192428427651603042261550385152/5722251454328176765*c_1100_0^9 - 1001131665020002026021696860544/1144450290865635353*c_1100_0^8 + 1746444494283268670177752107968/5722251454328176765*c_1100_0^7 + 184407935024021102556756642544/5722251454328176765*c_1100_0^6 + 1616178313250944115935144551994/5722251454328176765*c_1100_0^5 + 403911002540231311695469452838/5722251454328176765*c_1100_0^4 + 1807578289725062678233451951201/45778011634625414120*c_1100_0^3 + 29967093339005329328351481009/22889005817312707060*c_1100_0^2 - 15823684846517299573175675839/45778011634625414120*c_1100_0 - 6581191407672542694473080913/11444502908656353530, c_0011_0 - 1, c_0011_10 - 658745994768384/4127997990433*c_1100_0^9 + 1291842656016384/4127997990433*c_1100_0^8 + 14258610173440/4127997990433*c_1100_0^7 - 344708272089280/4127997990433*c_1100_0^6 - 475605774359296/4127997990433*c_1100_0^5 - 250969084944364/4127997990433*c_1100_0^4 - 82194143617096/4127997990433*c_1100_0^3 - 10712134232161/4127997990433*c_1100_0^2 + 4040669426791/4127997990433*c_1100_0 + 654392136653/4127997990433, c_0011_12 - 1463192141620224/4127997990433*c_1100_0^9 + 3045639998086656/4127997990433*c_1100_0^8 - 147908299284608/4127997990433*c_1100_0^7 - 1209855427869008/4127997990433*c_1100_0^6 - 699269821415440/4127997990433*c_1100_0^5 - 445551329420785/4127997990433*c_1100_0^4 - 10231309924261/4127997990433*c_1100_0^3 - 13139295348520/4127997990433*c_1100_0^2 + 11966752460121/4127997990433*c_1100_0 + 1085666091372/4127997990433, c_0011_13 - 1902745251090432/4127997990433*c_1100_0^9 + 4513624255948800/4127997990433*c_1100_0^8 - 2042471048636928/4127997990433*c_1100_0^7 + 362329548638912/4127997990433*c_1100_0^6 - 1670148848484480/4127997990433*c_1100_0^5 - 151866079234724/4127997990433*c_1100_0^4 - 260047237767032/4127997990433*c_1100_0^3 + 20827778608956/4127997990433*c_1100_0^2 - 5175942452808/4127997990433*c_1100_0 + 5377458719389/4127997990433, c_0011_15 - 1817081526761472/4127997990433*c_1100_0^9 + 3831340851836928/4127997990433*c_1100_0^8 - 425522946599168/4127997990433*c_1100_0^7 - 1164430141988064/4127997990433*c_1100_0^6 - 956482901641424/4127997990433*c_1100_0^5 - 568971840300062/4127997990433*c_1100_0^4 - 85794018784017/4127997990433*c_1100_0^3 - 21544258957704/4127997990433*c_1100_0^2 + 10906955741353/4127997990433*c_1100_0 + 3242040531457/4127997990433, c_0011_17 - 3352567745439744/4127997990433*c_1100_0^9 + 7821576271438848/4127997990433*c_1100_0^8 - 3076867578519808/4127997990433*c_1100_0^7 - 62977514767392/4127997990433*c_1100_0^6 - 2546889254111808/4127997990433*c_1100_0^5 - 478834436907082/4127997990433*c_1100_0^4 - 308458120306772/4127997990433*c_1100_0^3 + 10397280556624/4127997990433*c_1100_0^2 + 6087875199720/4127997990433*c_1100_0 + 3941067047491/4127997990433, c_0101_0 + c_1100_0, c_0101_1 + 6711686180926464/4127997990433*c_1100_0^9 - 15088665774853632/4127997990433*c_1100_0^8 + 4808998182563456/4127997990433*c_1100_0^7 + 734381354402704/4127997990433*c_1100_0^6 + 5009166162261744/4127997990433*c_1100_0^5 + 1391902163522869/4127997990433*c_1100_0^4 + 733091066268555/4127997990433*c_1100_0^3 + 40980082166752/4127997990433*c_1100_0^2 - 6542502413871/4127997990433*c_1100_0 - 11771933372434/4127997990433, c_0101_12 + 3352567745439744/4127997990433*c_1100_0^9 - 7821576271438848/4127997990433*c_1100_0^8 + 3076867578519808/4127997990433*c_1100_0^7 + 62977514767392/4127997990433*c_1100_0^6 + 2546889254111808/4127997990433*c_1100_0^5 + 478834436907082/4127997990433*c_1100_0^4 + 308458120306772/4127997990433*c_1100_0^3 - 10397280556624/4127997990433*c_1100_0^2 - 6087875199720/4127997990433*c_1100_0 - 3941067047491/4127997990433, c_0101_13 + 11517617201326080/4127997990433*c_1100_0^9 - 26305566918067200/4127997990433*c_1100_0^8 + 9217069191291136/4127997990433*c_1100_0^7 + 917238946171168/4127997990433*c_1100_0^6 + 8468374350890304/4127997990433*c_1100_0^5 + 2187275557843642/4127997990433*c_1100_0^4 + 1165129741590932/4127997990433*c_1100_0^3 + 49617456827678/4127997990433*c_1100_0^2 - 16941587437266/4127997990433*c_1100_0 - 16697595631310/4127997990433, c_0101_17 + 7288496163827712/4127997990433*c_1100_0^9 - 16389829892548608/4127997990433*c_1100_0^8 + 5293843188930048/4127997990433*c_1100_0^7 + 600564748904384/4127997990433*c_1100_0^6 + 5627504935026880/4127997990433*c_1100_0^5 + 1438200935441996/4127997990433*c_1100_0^4 + 839302280266092/4127997990433*c_1100_0^3 + 16895754299208/4127997990433*c_1100_0^2 - 4215433471288/4127997990433*c_1100_0 - 12850247129663/4127997990433, c_0101_6 + 5832185884557312/4127997990433*c_1100_0^9 - 12859588343549952/4127997990433*c_1100_0^8 + 3475084744183808/4127997990433*c_1100_0^7 + 1148239437984000/4127997990433*c_1100_0^6 + 4248802583711552/4127997990433*c_1100_0^5 + 1361051615895280/4127997990433*c_1100_0^4 + 617807192883732/4127997990433*c_1100_0^3 + 39711981759756/4127997990433*c_1100_0^2 - 10052062353363/4127997990433*c_1100_0 - 9746522652084/4127997990433, c_0101_7 + 20849125399111680/4127997990433*c_1100_0^9 - 46400341302088704/4127997990433*c_1100_0^8 + 13502121811071232/4127997990433*c_1100_0^7 + 3507695828719392/4127997990433*c_1100_0^6 + 15293297005246464/4127997990433*c_1100_0^5 + 4561989284592922/4127997990433*c_1100_0^4 + 2161879698957968/4127997990433*c_1100_0^3 + 108738664722644/4127997990433*c_1100_0^2 - 32116064269376/4127997990433*c_1100_0 - 33180635003743/4127997990433, c_1001_0 + 12352222364749824/4127997990433*c_1100_0^9 - 28525985732646912/4127997990433*c_1100_0^8 + 10661813939202560/4127997990433*c_1100_0^7 + 563844601450048/4127997990433*c_1100_0^6 + 9204876594696256/4127997990433*c_1100_0^5 + 2032467562662740/4127997990433*c_1100_0^4 + 1259482632474660/4127997990433*c_1100_0^3 + 3873681178188/4127997990433*c_1100_0^2 - 6208100351480/4127997990433*c_1100_0 - 18982679667200/4127997990433, c_1001_1 + 13010968359518208/4127997990433*c_1100_0^9 - 29817828388663296/4127997990433*c_1100_0^8 + 10647555329029120/4127997990433*c_1100_0^7 + 908552873539328/4127997990433*c_1100_0^6 + 9680482369055552/4127997990433*c_1100_0^5 + 2283436647607104/4127997990433*c_1100_0^4 + 1341676776091756/4127997990433*c_1100_0^3 + 14585815410349/4127997990433*c_1100_0^2 - 10248769778271/4127997990433*c_1100_0 - 19637071803853/4127997990433, c_1001_12 - 1561386651614208/4127997990433*c_1100_0^9 + 3036019545727488/4127997990433*c_1100_0^8 + 120480023329920/4127997990433*c_1100_0^7 - 904570738171440/4127997990433*c_1100_0^6 - 1091076200230576/4127997990433*c_1100_0^5 - 637340521266311/4127997990433*c_1100_0^4 - 156545017439143/4127997990433*c_1100_0^3 - 25110360374020/4127997990433*c_1100_0^2 + 7243953574923/4127997990433*c_1100_0 + 3169320290016/4127997990433, c_1001_14 + 7288496163827712/4127997990433*c_1100_0^9 - 16389829892548608/4127997990433*c_1100_0^8 + 5293843188930048/4127997990433*c_1100_0^7 + 600564748904384/4127997990433*c_1100_0^6 + 5627504935026880/4127997990433*c_1100_0^5 + 1438200935441996/4127997990433*c_1100_0^4 + 839302280266092/4127997990433*c_1100_0^3 + 16895754299208/4127997990433*c_1100_0^2 - 4215433471288/4127997990433*c_1100_0 - 12850247129663/4127997990433, c_1100_0^10 - 5/2*c_1100_0^9 + 31/24*c_1100_0^8 - 17/192*c_1100_0^7 + 23/32*c_1100_0^6 + 25/1024*c_1100_0^5 + 97/1536*c_1100_0^4 - 29/1536*c_1100_0^3 - 5/3072*c_1100_0^2 - 1/768*c_1100_0 + 1/3072 ], Ideal of Polynomial ring of rank 19 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_13, c_0011_15, c_0011_17, c_0101_0, c_0101_1, c_0101_12, c_0101_13, c_0101_17, c_0101_6, c_0101_7, c_1001_0, c_1001_1, c_1001_12, c_1001_14, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 816528961958449421/7047293146383882240*c_1100_0^9 + 74789627240268529/234909771546129408*c_1100_0^8 - 7566922610109526511/3523646573191941120*c_1100_0^7 - 5809549007024400653/1761823286595970560*c_1100_0^6 - 11126261932314919769/783032571820431360*c_1100_0^5 + 50623825145121581563/3523646573191941120*c_1100_0^4 - 125710192849847786807/1761823286595970560*c_1100_0^3 + 44871861944149960421/880911643297985280*c_1100_0^2 - 10260062033820435179/220227910824496320*c_1100_0 + 246483882854382431/14681860721633088, c_0011_0 - 1, c_0011_10 + 743/49824*c_1100_0^9 - 5309/99648*c_1100_0^8 + 30857/99648*c_1100_0^7 + 19919/99648*c_1100_0^6 + 145201/99648*c_1100_0^5 - 165847/49824*c_1100_0^4 + 265115/24912*c_1100_0^3 - 58885/4152*c_1100_0^2 + 16322/1557*c_1100_0 - 6851/1038, c_0011_12 - 4681/1195776*c_1100_0^9 + 997/66432*c_1100_0^8 - 50341/597888*c_1100_0^7 - 589/18684*c_1100_0^6 - 144355/398592*c_1100_0^5 + 610043/597888*c_1100_0^4 - 854431/298944*c_1100_0^3 + 619237/149472*c_1100_0^2 - 131563/37368*c_1100_0 + 22931/12456, c_0011_13 + 20459/1195776*c_1100_0^9 - 2843/66432*c_1100_0^8 + 183371/597888*c_1100_0^7 + 84349/149472*c_1100_0^6 + 296891/132864*c_1100_0^5 - 926185/597888*c_1100_0^4 + 3076733/298944*c_1100_0^3 - 756671/149472*c_1100_0^2 + 198545/37368*c_1100_0 + 3119/12456, c_0011_15 + 23875/1195776*c_1100_0^9 - 11077/199296*c_1100_0^8 + 224623/597888*c_1100_0^7 + 41029/74736*c_1100_0^6 + 986609/398592*c_1100_0^5 - 1414193/597888*c_1100_0^4 + 3835789/298944*c_1100_0^3 - 1428295/149472*c_1100_0^2 + 353257/37368*c_1100_0 - 35561/12456, c_0011_17 - 2095/99648*c_1100_0^9 + 10/173*c_1100_0^8 - 541/1384*c_1100_0^7 - 29687/49824*c_1100_0^6 - 258757/99648*c_1100_0^5 + 42673/16608*c_1100_0^4 - 109199/8304*c_1100_0^3 + 114659/12456*c_1100_0^2 - 27509/3114*c_1100_0 + 1651/1038, c_0101_0 + 16139/1195776*c_1100_0^9 - 9073/199296*c_1100_0^8 + 163475/597888*c_1100_0^7 + 34459/149472*c_1100_0^6 + 186731/132864*c_1100_0^5 - 1583521/597888*c_1100_0^4 + 2805461/298944*c_1100_0^3 - 1614959/149472*c_1100_0^2 + 301781/37368*c_1100_0 - 47185/12456, c_0101_1 + 44551/3587328*c_1100_0^9 - 16885/597888*c_1100_0^8 + 386983/1793664*c_1100_0^7 + 207623/448416*c_1100_0^6 + 227741/132864*c_1100_0^5 - 1223861/1793664*c_1100_0^4 + 6598249/896832*c_1100_0^3 - 530875/448416*c_1100_0^2 + 405913/112104*c_1100_0 + 61771/37368, c_0101_12 - 12565/1195776*c_1100_0^9 + 1681/66432*c_1100_0^8 - 112705/597888*c_1100_0^7 - 13463/37368*c_1100_0^6 - 192301/132864*c_1100_0^5 + 414047/597888*c_1100_0^4 - 2003131/298944*c_1100_0^3 + 333961/149472*c_1100_0^2 - 143647/37368*c_1100_0 - 7009/12456, c_0101_13 + 10657/3587328*c_1100_0^9 - 3115/597888*c_1100_0^8 + 78625/1793664*c_1100_0^7 + 65855/448416*c_1100_0^6 + 159217/398592*c_1100_0^5 - 232115/1793664*c_1100_0^4 + 1064095/896832*c_1100_0^3 + 422603/448416*c_1100_0^2 - 92453/112104*c_1100_0 + 55237/37368, c_0101_17 + 10657/3587328*c_1100_0^9 - 3115/597888*c_1100_0^8 + 78625/1793664*c_1100_0^7 + 65855/448416*c_1100_0^6 + 159217/398592*c_1100_0^5 - 232115/1793664*c_1100_0^4 + 1064095/896832*c_1100_0^3 + 422603/448416*c_1100_0^2 - 92453/112104*c_1100_0 + 55237/37368, c_0101_6 - 2867/3587328*c_1100_0^9 - 1927/597888*c_1100_0^8 - 3371/1793664*c_1100_0^7 - 53119/448416*c_1100_0^6 - 37777/132864*c_1100_0^5 - 1135559/1793664*c_1100_0^4 - 125405/896832*c_1100_0^3 - 1002361/448416*c_1100_0^2 + 114379/112104*c_1100_0 + 6217/37368, c_0101_7 - 58075/10761984*c_1100_0^9 + 18073/1793664*c_1100_0^8 - 468979/5380992*c_1100_0^7 - 326597/1345248*c_1100_0^6 - 955771/1195776*c_1100_0^5 + 320417/5380992*c_1100_0^4 - 7787749/2690496*c_1100_0^3 - 894089/1345248*c_1100_0^2 - 199081/336312*c_1100_0 - 110791/112104, c_1001_0 - 4255/1793664*c_1100_0^9 + 691/74736*c_1100_0^8 - 11335/224208*c_1100_0^7 - 17363/896832*c_1100_0^6 - 38005/199296*c_1100_0^5 + 576467/896832*c_1100_0^4 - 702319/448416*c_1100_0^3 + 662965/224208*c_1100_0^2 - 45091/56052*c_1100_0 + 31859/18684, c_1001_1 + 44551/3587328*c_1100_0^9 - 16885/597888*c_1100_0^8 + 386983/1793664*c_1100_0^7 + 207623/448416*c_1100_0^6 + 227741/132864*c_1100_0^5 - 1223861/1793664*c_1100_0^4 + 6598249/896832*c_1100_0^3 - 530875/448416*c_1100_0^2 + 405913/112104*c_1100_0 + 61771/37368, c_1001_12 - 2807/99648*c_1100_0^9 + 411/5536*c_1100_0^8 - 25873/49824*c_1100_0^7 - 21149/24912*c_1100_0^6 - 362995/99648*c_1100_0^5 + 142295/49824*c_1100_0^4 - 444859/24912*c_1100_0^3 + 41957/4152*c_1100_0^2 - 6602/519*c_1100_0 + 383/346, c_1001_14 + 16139/1195776*c_1100_0^9 - 9073/199296*c_1100_0^8 + 163475/597888*c_1100_0^7 + 34459/149472*c_1100_0^6 + 186731/132864*c_1100_0^5 - 1583521/597888*c_1100_0^4 + 2805461/298944*c_1100_0^3 - 1614959/149472*c_1100_0^2 + 301781/37368*c_1100_0 - 47185/12456, c_1100_0^10 - 3*c_1100_0^9 + 20*c_1100_0^8 + 22*c_1100_0^7 + 129*c_1100_0^6 - 127*c_1100_0^5 + 754*c_1100_0^4 - 644*c_1100_0^3 + 968*c_1100_0^2 - 384*c_1100_0 + 288 ], Ideal of Polynomial ring of rank 19 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_13, c_0011_15, c_0011_17, c_0101_0, c_0101_1, c_0101_12, c_0101_13, c_0101_17, c_0101_6, c_0101_7, c_1001_0, c_1001_1, c_1001_12, c_1001_14, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 107495741940201/4336431820*c_1100_0^9 - 2865640333545/216821591*c_1100_0^8 - 104211096284161/1734572728*c_1100_0^7 - 501410846521687/4336431820*c_1100_0^6 + 44607235405691/1238980520*c_1100_0^5 - 132376540337157/2168215910*c_1100_0^4 + 3243320344639/123898052*c_1100_0^3 - 6967547247573/867286364*c_1100_0^2 + 5738362796477/2168215910*c_1100_0 - 37549791540467/8672863640, c_0011_0 - 1, c_0011_10 - 94120623/5860043*c_1100_0^9 + 64891908/5860043*c_1100_0^8 - 379119018/5860043*c_1100_0^7 + 76832948/5860043*c_1100_0^6 - 219076859/5860043*c_1100_0^5 + 75737551/5860043*c_1100_0^4 - 40058430/5860043*c_1100_0^3 + 24718173/5860043*c_1100_0^2 - 3849529/5860043*c_1100_0 - 2979234/5860043, c_0011_12 - 245037528/5860043*c_1100_0^9 + 26070507/837149*c_1100_0^8 - 142315903/837149*c_1100_0^7 + 240432553/5860043*c_1100_0^6 - 568297729/5860043*c_1100_0^5 + 168156482/5860043*c_1100_0^4 - 14311994/837149*c_1100_0^3 + 47329186/5860043*c_1100_0^2 - 17234652/5860043*c_1100_0 - 1918859/5860043, c_0011_13 + 91028016/5860043*c_1100_0^9 - 63448605/5860043*c_1100_0^8 + 356659945/5860043*c_1100_0^7 - 62033046/5860043*c_1100_0^6 + 163034411/5860043*c_1100_0^5 - 31023005/5860043*c_1100_0^4 + 6362793/5860043*c_1100_0^3 + 3794655/5860043*c_1100_0^2 + 655044/837149*c_1100_0 + 10010767/5860043, c_0011_15 - 171688005/5860043*c_1100_0^9 + 145392462/5860043*c_1100_0^8 - 722430000/5860043*c_1100_0^7 + 257931397/5860043*c_1100_0^6 - 469576678/5860043*c_1100_0^5 + 209459269/5860043*c_1100_0^4 - 118676903/5860043*c_1100_0^3 + 65806208/5860043*c_1100_0^2 - 3103240/837149*c_1100_0 + 830572/837149, c_0011_17 + 2131164/837149*c_1100_0^9 - 32698143/5860043*c_1100_0^8 + 72491815/5860043*c_1100_0^7 - 101684090/5860043*c_1100_0^6 + 45085734/5860043*c_1100_0^5 - 69689500/5860043*c_1100_0^4 + 32603981/5860043*c_1100_0^3 - 16062532/5860043*c_1100_0^2 + 9914347/5860043*c_1100_0 - 285142/837149, c_0101_0 - 84671541/5860043*c_1100_0^9 + 81348147/5860043*c_1100_0^8 - 344492623/5860043*c_1100_0^7 + 144685315/5860043*c_1100_0^6 - 154450242/5860043*c_1100_0^5 + 76018368/5860043*c_1100_0^4 - 3732646/5860043*c_1100_0^3 + 10543109/5860043*c_1100_0^2 - 376251/837149*c_1100_0 - 613279/837149, c_0101_1 - 3464883/837149*c_1100_0^9 + 82185291/5860043*c_1100_0^8 - 155209895/5860043*c_1100_0^7 + 288874009/5860043*c_1100_0^6 - 143680539/5860043*c_1100_0^5 + 160723887/5860043*c_1100_0^4 - 5593691/837149*c_1100_0^3 + 31160543/5860043*c_1100_0^2 - 879688/837149*c_1100_0 + 1853981/5860043, c_0101_12 + 17307027/5860043*c_1100_0^9 - 36115335/5860043*c_1100_0^8 + 111370002/5860043*c_1100_0^7 - 131407795/5860043*c_1100_0^6 + 157699781/5860043*c_1100_0^5 - 13176662/837149*c_1100_0^4 + 66469428/5860043*c_1100_0^3 - 2490507/837149*c_1100_0^2 + 13189188/5860043*c_1100_0 - 551779/837149, c_0101_13 - 84671541/5860043*c_1100_0^9 + 81348147/5860043*c_1100_0^8 - 344492623/5860043*c_1100_0^7 + 144685315/5860043*c_1100_0^6 - 154450242/5860043*c_1100_0^5 + 76018368/5860043*c_1100_0^4 - 3732646/5860043*c_1100_0^3 + 10543109/5860043*c_1100_0^2 - 376251/837149*c_1100_0 - 613279/837149, c_0101_17 + 90656550/5860043*c_1100_0^9 - 73216422/5860043*c_1100_0^8 + 385151323/5860043*c_1100_0^7 - 113908951/5860043*c_1100_0^6 + 256420832/5860043*c_1100_0^5 - 50933847/5860043*c_1100_0^4 + 47976483/5860043*c_1100_0^3 + 1043473/5860043*c_1100_0^2 + 8701160/5860043*c_1100_0 + 3870410/5860043, c_0101_6 + 6356475/5860043*c_1100_0^9 + 17899542/5860043*c_1100_0^8 + 12167322/5860043*c_1100_0^7 + 11807467/837149*c_1100_0^6 + 8584169/5860043*c_1100_0^5 + 6427909/837149*c_1100_0^4 + 2630147/5860043*c_1100_0^3 + 2048252/837149*c_1100_0^2 + 278793/837149*c_1100_0 - 142229/5860043, c_0101_7 + 19614690/5860043*c_1100_0^9 + 29131020/5860043*c_1100_0^8 + 44261872/5860043*c_1100_0^7 + 25543751/837149*c_1100_0^6 - 19348780/5860043*c_1100_0^5 + 22904506/837149*c_1100_0^4 - 30307579/5860043*c_1100_0^3 + 6587559/837149*c_1100_0^2 - 659642/837149*c_1100_0 + 3036192/5860043, c_1001_0 - 64232703/5860043*c_1100_0^9 + 61351254/5860043*c_1100_0^8 - 251227190/5860043*c_1100_0^7 + 87305625/5860043*c_1100_0^6 - 70909256/5860043*c_1100_0^5 + 1056284/5860043*c_1100_0^4 + 13374849/5860043*c_1100_0^3 - 2759093/5860043*c_1100_0^2 + 5598568/5860043*c_1100_0 - 3601194/5860043, c_1001_1 + 17307027/5860043*c_1100_0^9 - 36115335/5860043*c_1100_0^8 + 111370002/5860043*c_1100_0^7 - 131407795/5860043*c_1100_0^6 + 157699781/5860043*c_1100_0^5 - 13176662/837149*c_1100_0^4 + 66469428/5860043*c_1100_0^3 - 2490507/837149*c_1100_0^2 + 13189188/5860043*c_1100_0 - 551779/837149, c_1001_12 - 68604651/5860043*c_1100_0^9 + 67372668/5860043*c_1100_0^8 - 293880522/5860043*c_1100_0^7 + 139464111/5860043*c_1100_0^6 - 27559866/837149*c_1100_0^5 + 103477621/5860043*c_1100_0^4 - 59182009/5860043*c_1100_0^3 + 25914246/5860043*c_1100_0^2 - 11864302/5860043*c_1100_0 + 944698/5860043, c_1001_14 + c_1100_0, c_1100_0^10 - 2/3*c_1100_0^9 + 110/27*c_1100_0^8 - 20/27*c_1100_0^7 + 23/9*c_1100_0^6 - 19/27*c_1100_0^5 + 17/27*c_1100_0^4 - 8/27*c_1100_0^3 + 4/27*c_1100_0^2 + 1/27 ], Ideal of Polynomial ring of rank 19 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_13, c_0011_15, c_0011_17, c_0101_0, c_0101_1, c_0101_12, c_0101_13, c_0101_17, c_0101_6, c_0101_7, c_1001_0, c_1001_1, c_1001_12, c_1001_14, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 28607367/12320*c_1100_0^9 + 5350329/880*c_1100_0^8 + 2484827/1540*c_1100_0^7 - 45798891/12320*c_1100_0^6 - 23893827/1760*c_1100_0^5 - 2062547/224*c_1100_0^4 - 13303599/3080*c_1100_0^3 + 29932569/12320*c_1100_0^2 - 534813/770*c_1100_0 + 3037957/2464, c_0011_0 - 1, c_0011_10 + 453/308*c_1100_0^9 - 687/154*c_1100_0^8 + 53/77*c_1100_0^7 + 821/308*c_1100_0^6 + 2111/308*c_1100_0^5 + 81/28*c_1100_0^4 + 102/77*c_1100_0^3 - 659/308*c_1100_0^2 + 114/77*c_1100_0 - 227/308, c_0011_12 + 453/308*c_1100_0^9 - 687/154*c_1100_0^8 + 53/77*c_1100_0^7 + 821/308*c_1100_0^6 + 2111/308*c_1100_0^5 + 81/28*c_1100_0^4 + 102/77*c_1100_0^3 - 659/308*c_1100_0^2 + 114/77*c_1100_0 - 227/308, c_0011_13 - 195/88*c_1100_0^9 + 4185/616*c_1100_0^8 - 733/616*c_1100_0^7 - 327/77*c_1100_0^6 - 6165/616*c_1100_0^5 - 29/7*c_1100_0^4 - 333/308*c_1100_0^3 + 1677/616*c_1100_0^2 - 1339/616*c_1100_0 + 131/308, c_0011_15 + 249/88*c_1100_0^9 - 615/77*c_1100_0^8 - 43/308*c_1100_0^7 + 2861/616*c_1100_0^6 + 8517/616*c_1100_0^5 + 477/56*c_1100_0^4 + 463/77*c_1100_0^3 - 949/616*c_1100_0^2 + 1065/308*c_1100_0 - 199/616, c_0011_17 + 1107/1232*c_1100_0^9 - 897/308*c_1100_0^8 + 393/616*c_1100_0^7 + 3341/1232*c_1100_0^6 + 4061/1232*c_1100_0^5 + 7/16*c_1100_0^4 - 73/77*c_1100_0^3 - 1817/1232*c_1100_0^2 + 81/88*c_1100_0 + 69/1232, c_0101_0 - 753/1232*c_1100_0^9 + 603/308*c_1100_0^8 - 419/616*c_1100_0^7 - 1167/1232*c_1100_0^6 - 3039/1232*c_1100_0^5 - 75/112*c_1100_0^4 - 50/77*c_1100_0^3 - 349/1232*c_1100_0^2 - 845/616*c_1100_0 + 89/1232, c_0101_1 + 45/308*c_1100_0^9 + 177/616*c_1100_0^8 - 1251/616*c_1100_0^7 + 205/616*c_1100_0^6 + 136/77*c_1100_0^5 + 229/56*c_1100_0^4 + 611/308*c_1100_0^3 + 117/77*c_1100_0^2 - 193/616*c_1100_0 + 65/88, c_0101_12 + 45/308*c_1100_0^9 + 177/616*c_1100_0^8 - 1251/616*c_1100_0^7 + 205/616*c_1100_0^6 + 136/77*c_1100_0^5 + 229/56*c_1100_0^4 + 611/308*c_1100_0^3 + 117/77*c_1100_0^2 - 193/616*c_1100_0 + 65/88, c_0101_13 + c_1100_0, c_0101_17 - 753/1232*c_1100_0^9 + 603/308*c_1100_0^8 - 419/616*c_1100_0^7 - 1167/1232*c_1100_0^6 - 3039/1232*c_1100_0^5 - 75/112*c_1100_0^4 - 50/77*c_1100_0^3 - 349/1232*c_1100_0^2 - 845/616*c_1100_0 + 89/1232, c_0101_6 + 51/616*c_1100_0^9 - 45/308*c_1100_0^8 - 13/44*c_1100_0^7 + 9/88*c_1100_0^6 + 607/616*c_1100_0^5 + 37/56*c_1100_0^4 - 83/154*c_1100_0^3 - 233/616*c_1100_0^2 - 41/154*c_1100_0 + 377/616, c_0101_7 + 51/616*c_1100_0^9 - 45/308*c_1100_0^8 - 13/44*c_1100_0^7 + 9/88*c_1100_0^6 + 607/616*c_1100_0^5 + 37/56*c_1100_0^4 - 83/154*c_1100_0^3 - 233/616*c_1100_0^2 - 41/154*c_1100_0 + 377/616, c_1001_0 - 195/88*c_1100_0^9 + 4185/616*c_1100_0^8 - 733/616*c_1100_0^7 - 327/77*c_1100_0^6 - 6165/616*c_1100_0^5 - 29/7*c_1100_0^4 - 333/308*c_1100_0^3 + 1677/616*c_1100_0^2 - 1339/616*c_1100_0 + 131/308, c_1001_1 - 1107/1232*c_1100_0^9 + 897/308*c_1100_0^8 - 393/616*c_1100_0^7 - 3341/1232*c_1100_0^6 - 4061/1232*c_1100_0^5 - 7/16*c_1100_0^4 + 73/77*c_1100_0^3 + 1817/1232*c_1100_0^2 - 81/88*c_1100_0 - 69/1232, c_1001_12 - 1, c_1001_14 - 135/154*c_1100_0^9 + 921/308*c_1100_0^8 - 153/154*c_1100_0^7 - 901/308*c_1100_0^6 - 855/308*c_1100_0^5 + 15/14*c_1100_0^4 + 125/154*c_1100_0^3 + 235/154*c_1100_0^2 - 521/308*c_1100_0 + 27/154, c_1100_0^10 - 3*c_1100_0^9 + 2/3*c_1100_0^8 + c_1100_0^7 + 14/3*c_1100_0^6 + 8/3*c_1100_0^5 + 7/3*c_1100_0^4 - 1/3*c_1100_0^3 + 5/3*c_1100_0^2 - 1/3*c_1100_0 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ ], [ ], [ ], [ ], [ ], [ ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE CPUTIME: 19324.020 Total time: 19324.909 seconds, Total memory usage: 55431.16MB