Magma V2.19-8 Sun Sep 15 2013 04:46:36 on localhost [Seed = 3800417069] Type ? for help. Type -D to quit. Loading file "11_389__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_389 geometric_solution 15.81687330 oriented_manifold CS_known -0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 17 1 2 3 4 0132 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 1 -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 0.681782642162 0.630310887661 0 2 6 5 0132 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 -1 0 1 0 0 0 0 2 0 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.616698672693 0.682500766768 7 0 1 8 0132 0132 0213 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 -1 1 0 0 0 0 0 0 -2 0 2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.577344466886 0.488316069938 9 10 11 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 -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 0.244484811719 0.756694646671 12 8 0 13 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 -1 0 0 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.109433087526 1.708546284827 7 14 1 10 2031 0132 0132 1230 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 0 -1 1 0 0 0 0 1 -1 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.532110541115 0.833001503560 15 8 14 1 0132 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 0 0 0 0 0 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 0.308142287502 0.543412748772 2 9 5 9 0132 2103 1302 1302 0 0 0 0 0 0 0 0 0 0 1 -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 1 -1 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.484090646317 0.595985692076 14 4 2 6 0213 0132 0132 0321 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 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.451275219798 1.196966167437 3 7 7 12 0132 2103 2031 3012 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.178870933133 1.010928797992 5 3 13 16 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500481571521 1.128379526273 15 15 13 3 3012 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 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 0.561252720906 0.635426152559 4 16 9 15 0132 0132 1230 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 0 -1 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.408100721054 0.930502827239 16 10 4 11 3012 0213 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 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 -0.323262324438 0.875303973041 8 5 16 6 0213 0132 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 0 0 0 0 0 0 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 -0.158901297073 1.219162738446 6 11 12 11 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.219149476714 0.884045324421 14 12 10 13 2031 0132 0132 1230 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 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 0.542020237454 0.526891396762 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : d['c_1001_15'], 'c_1001_14' : d['c_0011_13'], 'c_1001_16' : d['c_1001_15'], 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_1001_0'], 'c_1001_13' : d['c_1001_0'], 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_15'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0011_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_13' : d['c_0101_11'], 'c_1010_12' : d['c_1001_15'], 'c_1010_11' : d['c_1001_15'], 'c_1010_10' : d['c_1001_15'], 'c_1010_16' : d['c_0101_12'], 'c_1010_15' : d['c_0101_11'], 'c_1010_14' : d['c_1001_5'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_0_15' : 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' : d['c_0101_11'], 'c_0101_10' : d['c_0011_13'], 'c_0101_16' : d['c_0101_16'], 'c_0101_15' : d['c_0101_1'], 'c_0101_14' : d['c_0011_12'], 's_2_0' : negation(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_2_16' : d['1'], 's_2_14' : d['1'], 's_2_15' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_15' : negation(d['c_0011_11']), 'c_0011_14' : d['c_0011_14'], 'c_0011_16' : negation(d['c_0011_12']), 'c_1100_9' : negation(d['c_0101_12']), 'c_1100_8' : d['c_1001_5'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_16'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_0'], 'c_1100_6' : d['c_0101_16'], 'c_1100_1' : d['c_0101_16'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1001_5'], 'c_1100_14' : d['c_0101_16'], 'c_1100_15' : d['c_0101_3'], 's_0_10' : d['1'], 'c_1100_16' : d['c_0101_11'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_0101_11'], 'c_1100_13' : d['c_1100_0'], 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0101_12'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0011_13'], '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_5'], 'c_1010_0' : d['c_1001_1'], 's_3_15' : d['1'], 'c_1010_9' : negation(d['c_0101_12']), 's_3_14' : d['1'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : d['c_0101_3'], 's_1_7' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_12'], 'c_0011_5' : negation(d['c_0011_14']), 'c_0011_4' : negation(d['c_0011_12']), 'c_0101_13' : d['c_0101_12'], 'c_0011_6' : d['c_0011_11'], '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' : d['c_0101_3'], 'c_0110_10' : d['c_0101_16'], 'c_0110_13' : d['c_0101_11'], 'c_0110_12' : d['c_0101_1'], 'c_0110_15' : d['c_0011_11'], 'c_0110_14' : d['c_0011_11'], 'c_0110_16' : d['c_0011_13'], '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' : negation(d['1']), 'c_1010_8' : d['c_1001_1'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_14'], 'c_0101_6' : d['c_0011_11'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_14'], 'c_0011_10' : d['c_0011_10'], '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_3'], 'c_0110_8' : negation(d['c_0011_11']), '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_0011_14'], 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0011_14, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_16, c_0101_3, c_1001_0, c_1001_1, c_1001_15, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 5671814/2830093*c_1001_5*c_1100_0^3 - 20022444/2830093*c_1001_5*c_1100_0^2 - 7702958/2830093*c_1001_5*c_1100_0 + 24765956/2830093*c_1001_5 - 3890766/2830093*c_1100_0^3 - 14046751/2830093*c_1100_0^2 - 6656432/2830093*c_1100_0 + 15400536/2830093, c_0011_0 - 1, c_0011_10 - c_1001_5*c_1100_0^2 - 3*c_1001_5*c_1100_0 - 2*c_1001_5 + 2*c_1100_0^3 + 8*c_1100_0^2 + 9*c_1100_0 + 2, c_0011_11 + c_1100_0^2 + 3*c_1100_0 + 1, c_0011_12 - c_1001_5*c_1100_0^2 - 3*c_1001_5*c_1100_0 - c_1001_5 + 2*c_1100_0^2 + 5*c_1100_0 + 2, c_0011_13 + c_1001_5*c_1100_0^3 + 4*c_1001_5*c_1100_0^2 + 5*c_1001_5*c_1100_0 + 2*c_1001_5 + c_1100_0^2 + 2*c_1100_0 + 1, c_0011_14 + c_1100_0^2 + 3*c_1100_0 + 2, c_0101_0 - c_1001_5*c_1100_0^3 - 3*c_1001_5*c_1100_0^2 - 2*c_1001_5*c_1100_0 - c_1100_0^3 - 4*c_1100_0^2 - 4*c_1100_0 - 1, c_0101_1 + c_1100_0 + 1, c_0101_11 - c_1100_0^2 - 2*c_1100_0 - 1, c_0101_12 - c_1001_5*c_1100_0 - c_1001_5 + c_1100_0^2 + 3*c_1100_0 + 1, c_0101_16 - c_1001_5*c_1100_0^3 - 4*c_1001_5*c_1100_0^2 - 5*c_1001_5*c_1100_0 - 2*c_1001_5 + c_1100_0^3 + 3*c_1100_0^2 + 2*c_1100_0 + 1, c_0101_3 - c_1001_5*c_1100_0^3 - 4*c_1001_5*c_1100_0^2 - 4*c_1001_5*c_1100_0 + c_1100_0^2 + 2*c_1100_0, c_1001_0 - c_1001_5*c_1100_0^2 - 3*c_1001_5*c_1100_0 - c_1001_5 + c_1100_0^2 + 2*c_1100_0 + 1, c_1001_1 - c_1001_5 + c_1100_0^3 + 3*c_1100_0^2 + 2*c_1100_0 + 1, c_1001_15 - c_1001_5*c_1100_0^3 - 4*c_1001_5*c_1100_0^2 - 4*c_1001_5*c_1100_0 + c_1100_0^3 + 4*c_1100_0^2 + 4*c_1100_0, c_1001_5^2 - c_1001_5*c_1100_0^3 - 3*c_1001_5*c_1100_0^2 - 2*c_1001_5*c_1100_0 - c_1001_5 - 1, c_1100_0^4 + 5*c_1100_0^3 + 8*c_1100_0^2 + 4*c_1100_0 + 1 ], Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0011_14, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_16, c_0101_3, c_1001_0, c_1001_1, c_1001_15, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 924115/133*c_1001_5*c_1100_0^3 - 178680046/5719*c_1001_5*c_1100_0^2 - 222396467/5719*c_1001_5*c_1100_0 - 22666085/5719*c_1001_5 - 22459152/5719*c_1100_0^3 - 104000733/5719*c_1100_0^2 - 138902803/5719*c_1100_0 - 28190725/5719, c_0011_0 - 1, c_0011_10 - c_1001_5*c_1100_0^2 - 3*c_1001_5*c_1100_0 - 2*c_1001_5 - c_1100_0^3 - 3*c_1100_0^2 - 2*c_1100_0 + 1, c_0011_11 - c_1100_0 - 1, c_0011_12 + c_1001_5*c_1100_0^2 + 2*c_1001_5*c_1100_0 + 1, c_0011_13 + c_1001_5*c_1100_0^3 + 4*c_1001_5*c_1100_0^2 + 5*c_1001_5*c_1100_0 + 2*c_1001_5 - c_1100_0^3 - 4*c_1100_0^2 - 4*c_1100_0 - 1, c_0011_14 + c_1100_0^2 + 3*c_1100_0 + 2, c_0101_0 - c_1001_5*c_1100_0^3 - 3*c_1001_5*c_1100_0^2 - 2*c_1001_5*c_1100_0 + c_1100_0^3 + 3*c_1100_0^2 + 2*c_1100_0, c_0101_1 - c_1100_0^2 - 3*c_1100_0 - 1, c_0101_11 - c_1100_0^2 - 2*c_1100_0 - 1, c_0101_12 - c_1001_5*c_1100_0 - c_1001_5 - c_1100_0^2 - 2*c_1100_0, c_0101_16 + c_1001_5*c_1100_0^3 + 4*c_1001_5*c_1100_0^2 + 5*c_1001_5*c_1100_0 + c_1001_5 - c_1100_0^3 - 3*c_1100_0^2 - 3*c_1100_0 - 1, c_0101_3 - c_1001_5*c_1100_0^2 - 3*c_1001_5*c_1100_0 - 2*c_1001_5 - c_1100_0^3 - 3*c_1100_0^2 - 3*c_1100_0, c_1001_0 - c_1001_5*c_1100_0^2 - 3*c_1001_5*c_1100_0 - c_1001_5 - c_1100_0^3 - 4*c_1100_0^2 - 4*c_1100_0 - 1, c_1001_1 - c_1001_5 - c_1100_0^3 - 3*c_1100_0^2 - 3*c_1100_0 - 1, c_1001_15 - c_1001_5*c_1100_0^2 - 3*c_1001_5*c_1100_0 - 2*c_1001_5 - 2*c_1100_0^3 - 7*c_1100_0^2 - 7*c_1100_0 - 1, c_1001_5^2 + c_1001_5*c_1100_0^3 + 3*c_1001_5*c_1100_0^2 + 3*c_1001_5*c_1100_0 + c_1001_5 - c_1100_0^3 - 2*c_1100_0^2, c_1100_0^4 + 5*c_1100_0^3 + 8*c_1100_0^2 + 4*c_1100_0 + 1 ], Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0011_14, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_16, c_0101_3, c_1001_0, c_1001_1, c_1001_15, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 27352295652034258/2915146610325*c_1001_5^3*c_1100_0^3 + 49941456117916727/971715536775*c_1001_5^3*c_1100_0^2 - 261307741283731288/2915146610325*c_1001_5^3*c_1100_0 - 21474813320309689/2915146610325*c_1001_5^3 - 106654601528359/28302394275*c_1001_5^2*c_1100_0^3 + 201841197640481/9434131425*c_1001_5^2*c_1100_0^2 - 1137342572555014/28302394275*c_1001_5^2*c_1100_0 + 129197107436438/28302394275*c_1001_5^2 - 3071126108892403/971715536775*c_1001_5*c_1100_0^3 + 5016221982821642/323905178925*c_1001_5*c_1100_0^2 - 19484906932672573/971715536775*c_1001_5*c_1100_0 - 20130340345918039/971715536775*c_1001_5 - 2817485376410893/971715536775*c_1100_0^3 + 4852780748083682/323905178925*c_1100_0^2 - 22056866594172088/971715536775*c_1100_0 - 10949904915373444/971715536775, c_0011_0 - 1, c_0011_10 - 47/45*c_1001_5^3*c_1100_0^3 + 82/15*c_1001_5^3*c_1100_0^2 - 377/45*c_1001_5^3*c_1100_0 - 164/45*c_1001_5^3 - 8/45*c_1001_5^2*c_1100_0^3 + 13/15*c_1001_5^2*c_1100_0^2 - 23/45*c_1001_5^2*c_1100_0 - 116/45*c_1001_5^2 + 13/15*c_1001_5*c_1100_0^3 - 22/5*c_1001_5*c_1100_0^2 + 103/15*c_1001_5*c_1100_0 + 49/15*c_1001_5 + 1/15*c_1100_0^3 - 1/5*c_1100_0^2 + 1/15*c_1100_0 + 22/15, c_0011_11 + 7/45*c_1001_5^3*c_1100_0^3 - 11/15*c_1001_5^3*c_1100_0^2 + 37/45*c_1001_5^3*c_1100_0 + 52/45*c_1001_5^3 - 17/45*c_1001_5^2*c_1100_0^3 + 31/15*c_1001_5^2*c_1100_0^2 - 167/45*c_1001_5^2*c_1100_0 - 17/45*c_1001_5^2 - 2/15*c_1001_5*c_1100_0^3 + 3/5*c_1001_5*c_1100_0^2 - 17/15*c_1001_5*c_1100_0 - 11/15*c_1001_5 - 2/15*c_1100_0^3 + 2/5*c_1100_0^2 - 2/15*c_1100_0 - 14/15, c_0011_12 - 43/45*c_1001_5^3*c_1100_0^3 + 77/15*c_1001_5^3*c_1100_0^2 - 388/45*c_1001_5^3*c_1100_0 - 79/45*c_1001_5^3 - 1/45*c_1001_5^2*c_1100_0^3 - 1/15*c_1001_5^2*c_1100_0^2 + 14/45*c_1001_5^2*c_1100_0 - 28/45*c_1001_5^2 + 1/3*c_1001_5*c_1100_0^3 - 2*c_1001_5*c_1100_0^2 + 10/3*c_1001_5*c_1100_0 + 1/3*c_1001_5 - 4/15*c_1100_0^3 + 6/5*c_1100_0^2 - 34/15*c_1100_0 + 8/15, c_0011_13 - 14/45*c_1001_5^3*c_1100_0^3 + 5/3*c_1001_5^3*c_1100_0^2 - 119/45*c_1001_5^3*c_1100_0 - 10/9*c_1001_5^3 - 2/45*c_1001_5^2*c_1100_0^3 + 4/15*c_1001_5^2*c_1100_0^2 - 17/45*c_1001_5^2*c_1100_0 - 38/45*c_1001_5^2 - 1/3*c_1001_5*c_1100_0^3 + 2*c_1001_5*c_1100_0^2 - 10/3*c_1001_5*c_1100_0 - 4/3*c_1001_5 + 1/15*c_1100_0^3 - 1/5*c_1100_0^2 + 1/15*c_1100_0 + 7/15, c_0011_14 - 3/5*c_1100_0^3 + 16/5*c_1100_0^2 - 28/5*c_1100_0 - 4/5, c_0101_0 + 26/45*c_1001_5^3*c_1100_0^3 - 46/15*c_1001_5^3*c_1100_0^2 + 221/45*c_1001_5^3*c_1100_0 + 62/45*c_1001_5^3 + 23/45*c_1001_5^2*c_1100_0^3 - 8/3*c_1001_5^2*c_1100_0^2 + 173/45*c_1001_5^2*c_1100_0 + 19/9*c_1001_5^2 - 7/15*c_1001_5*c_1100_0^3 + 13/5*c_1001_5*c_1100_0^2 - 67/15*c_1001_5*c_1100_0 - 16/15*c_1001_5 - 4/15*c_1100_0^3 + 7/5*c_1100_0^2 - 34/15*c_1100_0 - 19/15, c_0101_1 + 7/45*c_1001_5^3*c_1100_0^3 - 11/15*c_1001_5^3*c_1100_0^2 + 37/45*c_1001_5^3*c_1100_0 + 52/45*c_1001_5^3 - 17/45*c_1001_5^2*c_1100_0^3 + 31/15*c_1001_5^2*c_1100_0^2 - 167/45*c_1001_5^2*c_1100_0 - 17/45*c_1001_5^2 - 2/15*c_1001_5*c_1100_0^3 + 3/5*c_1001_5*c_1100_0^2 - 17/15*c_1001_5*c_1100_0 - 11/15*c_1001_5 + 4/15*c_1100_0^3 - 7/5*c_1100_0^2 + 34/15*c_1100_0 + 4/15, c_0101_11 - 1/5*c_1100_0^3 + 7/5*c_1100_0^2 - 11/5*c_1100_0 - 3/5, c_0101_12 - 8/15*c_1001_5^3*c_1100_0^3 + 14/5*c_1001_5^3*c_1100_0^2 - 68/15*c_1001_5^3*c_1100_0 - 23/15*c_1001_5^3 - 1/3*c_1001_5^2*c_1100_0^3 + 8/5*c_1001_5^2*c_1100_0^2 - 7/3*c_1001_5^2*c_1100_0 - 26/15*c_1001_5^2 + 3/5*c_1001_5*c_1100_0^3 - 16/5*c_1001_5*c_1100_0^2 + 23/5*c_1001_5*c_1100_0 + 9/5*c_1001_5 + 1/5*c_1100_0^3 - c_1100_0^2 + 6/5*c_1100_0 + 1, c_0101_16 + 8/9*c_1001_5^3*c_1100_0^3 - 71/15*c_1001_5^3*c_1100_0^2 + 68/9*c_1001_5^3*c_1100_0 + 112/45*c_1001_5^3 - 4/9*c_1001_5^2*c_1100_0^3 + 31/15*c_1001_5^2*c_1100_0^2 - 25/9*c_1001_5^2*c_1100_0 - 92/45*c_1001_5^2 - 8/15*c_1001_5*c_1100_0^3 + 12/5*c_1001_5*c_1100_0^2 - 53/15*c_1001_5*c_1100_0 - 14/15*c_1001_5 + 4/15*c_1100_0^3 - 8/5*c_1100_0^2 + 34/15*c_1100_0 + 16/15, c_0101_3 - 11/15*c_1001_5^3*c_1100_0^3 + 18/5*c_1001_5^3*c_1100_0^2 - 71/15*c_1001_5^3*c_1100_0 - 71/15*c_1001_5^3 + 7/15*c_1001_5^2*c_1100_0^3 - 12/5*c_1001_5^2*c_1100_0^2 + 52/15*c_1001_5^2*c_1100_0 + 34/15*c_1001_5^2 + 3/5*c_1001_5*c_1100_0^3 - 16/5*c_1001_5*c_1100_0^2 + 23/5*c_1001_5*c_1100_0 + 14/5*c_1001_5 - 2/5*c_1100_0^3 + 8/5*c_1100_0^2 - 12/5*c_1100_0 - 2/5, c_1001_0 - 14/45*c_1001_5^3*c_1100_0^3 + 5/3*c_1001_5^3*c_1100_0^2 - 119/45*c_1001_5^3*c_1100_0 - 10/9*c_1001_5^3 - 2/45*c_1001_5^2*c_1100_0^3 + 4/15*c_1001_5^2*c_1100_0^2 - 17/45*c_1001_5^2*c_1100_0 - 38/45*c_1001_5^2 + 13/15*c_1001_5*c_1100_0^3 - 22/5*c_1001_5*c_1100_0^2 + 103/15*c_1001_5*c_1100_0 + 34/15*c_1001_5 + 1/15*c_1100_0^3 - 1/5*c_1100_0^2 + 1/15*c_1100_0 + 7/15, c_1001_1 - 2/9*c_1001_5^3*c_1100_0^3 + 17/15*c_1001_5^3*c_1100_0^2 - 17/9*c_1001_5^3*c_1100_0 - 19/45*c_1001_5^3 - 13/45*c_1001_5^2*c_1100_0^3 + 4/3*c_1001_5^2*c_1100_0^2 - 88/45*c_1001_5^2*c_1100_0 - 8/9*c_1001_5^2 - 1/15*c_1001_5*c_1100_0^3 - 1/5*c_1001_5*c_1100_0^2 + 14/15*c_1001_5*c_1100_0 - 13/15*c_1001_5 + 2/15*c_1100_0^3 - 4/5*c_1100_0^2 + 17/15*c_1100_0 + 8/15, c_1001_15 - 19/45*c_1001_5^3*c_1100_0^3 + 29/15*c_1001_5^3*c_1100_0^2 - 94/45*c_1001_5^3*c_1100_0 - 163/45*c_1001_5^3 + 23/45*c_1001_5^2*c_1100_0^3 - 8/3*c_1001_5^2*c_1100_0^2 + 173/45*c_1001_5^2*c_1100_0 + 28/9*c_1001_5^2 + 1/3*c_1001_5*c_1100_0^3 - 2*c_1001_5*c_1100_0^2 + 10/3*c_1001_5*c_1100_0 + 7/3*c_1001_5 - 2/3*c_1100_0^3 + 16/5*c_1100_0^2 - 14/3*c_1100_0 - 22/15, c_1001_5^4 + c_1001_5^3*c_1100_0 - 3/5*c_1001_5^2*c_1100_0^3 + 16/5*c_1001_5^2*c_1100_0^2 - 13/5*c_1001_5^2*c_1100_0 - 9/5*c_1001_5^2 + 1/5*c_1001_5*c_1100_0^3 - 2/5*c_1001_5*c_1100_0^2 + 6/5*c_1001_5*c_1100_0 + 3/5*c_1001_5 + 2/5*c_1100_0^3 - 9/5*c_1100_0^2 + 2/5*c_1100_0 + 1/5, c_1100_0^4 - 5*c_1100_0^3 + 7*c_1100_0^2 + 5*c_1100_0 + 1 ], Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0011_14, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_16, c_0101_3, c_1001_0, c_1001_1, c_1001_15, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 1271000007488816532645530663957/1831866886332865428269280734124*c_1\ 100_0^19 - 14877934001497656078522838277821/36637337726657308565385\ 61468248*c_1100_0^18 + 22536381286730909606956091959285/36637337726\ 65730856538561468248*c_1100_0^17 + 60373366586612339404830855413981/3663733772665730856538561468248*c_\ 1100_0^16 - 164315063893234086862929288812431/366373377266573085653\ 8561468248*c_1100_0^15 - 25415293169965070464711307836379/366373377\ 2665730856538561468248*c_1100_0^14 + 10332620676871206444307845958771/96414046649098180435225301796*c_11\ 00_0^13 - 231339674395110351416684141496635/36637337726657308565385\ 61468248*c_1100_0^12 - 52000134047195241384453643978795/61062229544\ 4288476089760244708*c_1100_0^11 + 127919548612508129755124569765885\ /1221244590888576952179520489416*c_1100_0^10 + 33571120041370847113886060663/21807939123010302717491437311*c_1100_\ 0^9 - 66624515971673090300865274481267/1831866886332865428269280734\ 124*c_1100_0^8 + 1391423574788843008411642564751/407081530296192317\ 393173496472*c_1100_0^7 - 36156011556149545667584393644313/36637337\ 72665730856538561468248*c_1100_0^6 + 79254648545889402442190205804209/1831866886332865428269280734124*c_\ 1100_0^5 - 128901114636456084323936740981/9159334431664327141346403\ 67062*c_1100_0^4 - 3629408951396277734169606203047/8723175649204121\ 0869965749244*c_1100_0^3 + 871624599901131776348663781521/654238173\ 69030908152474311933*c_1100_0^2 + 2149426163243737241434319616737/1\ 52655573861072119022440061177*c_1100_0 - 3110180860625544757743118252787/457966721583216357067320183531, c_0011_0 - 1, c_0011_10 + 1638098139470152636033/48001201557072602447947*c_1100_0^19 - 6970993349013676624480/48001201557072602447947*c_1100_0^18 + 1590930115347820045520/48001201557072602447947*c_1100_0^17 + 49320542818913212755918/48001201557072602447947*c_1100_0^16 - 30951813351304018676153/48001201557072602447947*c_1100_0^15 - 113242102526590385636410/48001201557072602447947*c_1100_0^14 + 103183928357884570708735/48001201557072602447947*c_1100_0^13 + 110991377043957839736808/48001201557072602447947*c_1100_0^12 - 88088130974337386712067/48001201557072602447947*c_1100_0^11 + 5741052614081938313580/48001201557072602447947*c_1100_0^10 - 26622094962431594618558/48001201557072602447947*c_1100_0^9 - 29191514076016551386809/48001201557072602447947*c_1100_0^8 + 84319325922372456423111/48001201557072602447947*c_1100_0^7 - 56167293378042172506785/48001201557072602447947*c_1100_0^6 - 12362574014946178738258/48001201557072602447947*c_1100_0^5 + 125047336562301199740234/48001201557072602447947*c_1100_0^4 - 4969725328596721380993/48001201557072602447947*c_1100_0^3 - 20190582841733413885124/48001201557072602447947*c_1100_0^2 - 6742920856937962302778/48001201557072602447947*c_1100_0 - 13575874403575608589713/48001201557072602447947, c_0011_11 + 1643109609255846127083/48001201557072602447947*c_1100_0^19 - 6682509131003683924682/48001201557072602447947*c_1100_0^18 + 2807603337161440489004/48001201557072602447947*c_1100_0^17 + 39470458630958337615192/48001201557072602447947*c_1100_0^16 - 19256667736858693740420/48001201557072602447947*c_1100_0^15 - 50343976537253730441203/48001201557072602447947*c_1100_0^14 + 48841791003432622931560/48001201557072602447947*c_1100_0^13 - 1418700553948199585341/48001201557072602447947*c_1100_0^12 + 49001152810008914503648/48001201557072602447947*c_1100_0^11 + 99692306243124029174882/48001201557072602447947*c_1100_0^10 - 64519381715218364097951/48001201557072602447947*c_1100_0^9 + 10432319435164819147977/48001201557072602447947*c_1100_0^8 + 22230960094256895687997/48001201557072602447947*c_1100_0^7 - 17889798128546055581033/48001201557072602447947*c_1100_0^6 + 73579789590176638535916/48001201557072602447947*c_1100_0^5 + 60452080926468653533642/48001201557072602447947*c_1100_0^4 + 62202420495820793091652/48001201557072602447947*c_1100_0^3 + 86321499059189795835037/48001201557072602447947*c_1100_0^2 + 28329302951074603631976/48001201557072602447947*c_1100_0 - 24004595267640730218869/48001201557072602447947, c_0011_12 - 532714743714567548627/48001201557072602447947*c_1100_0^19 + 2042488648965711305640/48001201557072602447947*c_1100_0^18 - 1174592613989016465043/48001201557072602447947*c_1100_0^17 - 9317013041908730835756/48001201557072602447947*c_1100_0^16 - 146432829921075969957/48001201557072602447947*c_1100_0^15 - 616800696191102517170/48001201557072602447947*c_1100_0^14 + 10508289310264581159032/48001201557072602447947*c_1100_0^13 + 22319613907791810416136/48001201557072602447947*c_1100_0^12 - 66764200082062644913372/48001201557072602447947*c_1100_0^11 - 34515425103093852391434/48001201557072602447947*c_1100_0^10 + 31262107038165971849240/48001201557072602447947*c_1100_0^9 - 35313483525554530345122/48001201557072602447947*c_1100_0^8 + 8029689132591254441555/48001201557072602447947*c_1100_0^7 + 24578475725508110706477/48001201557072602447947*c_1100_0^6 - 45850253547228142695416/48001201557072602447947*c_1100_0^5 + 6414982626681289615099/48001201557072602447947*c_1100_0^4 - 39489151171396322628461/48001201557072602447947*c_1100_0^3 - 71819211543858253865760/48001201557072602447947*c_1100_0^2 - 11596143172810462641847/48001201557072602447947*c_1100_0 + 13065448245127940215843/48001201557072602447947, c_0011_13 + 1262016613951368895845/48001201557072602447947*c_1100_0^19 - 4790082747800882391685/48001201557072602447947*c_1100_0^18 - 2567217371163475872055/48001201557072602447947*c_1100_0^17 + 45747770501748826712704/48001201557072602447947*c_1100_0^16 - 16147210822545912365751/48001201557072602447947*c_1100_0^15 - 126535410962533770272067/48001201557072602447947*c_1100_0^14 + 98108012747139276028383/48001201557072602447947*c_1100_0^13 + 143437491128116408518978/48001201557072602447947*c_1100_0^12 - 139774973177649314032360/48001201557072602447947*c_1100_0^11 + 17726817689613739564745/48001201557072602447947*c_1100_0^10 - 2191495742070735194816/48001201557072602447947*c_1100_0^9 - 85385275333174172111437/48001201557072602447947*c_1100_0^8 + 121845106778039591935059/48001201557072602447947*c_1100_0^7 - 34252890210842450980671/48001201557072602447947*c_1100_0^6 - 71873920716811614317785/48001201557072602447947*c_1100_0^5 + 88404057811729662269223/48001201557072602447947*c_1100_0^4 - 12248566212569870805121/48001201557072602447947*c_1100_0^3 - 8390231725534518825873/48001201557072602447947*c_1100_0^2 - 30608748956642824765970/48001201557072602447947*c_1100_0 - 63247083996618663422711/48001201557072602447947, c_0011_14 - 37313681504988246883/3692400119774815572919*c_1100_0^19 + 210345816837566682996/3692400119774815572919*c_1100_0^18 - 327867975578180037373/3692400119774815572919*c_1100_0^17 - 674416555656381478809/3692400119774815572919*c_1100_0^16 + 1769193036022376759497/3692400119774815572919*c_1100_0^15 - 308690612247858474186/3692400119774815572919*c_1100_0^14 - 2093705106471147226676/3692400119774815572919*c_1100_0^13 + 3412360702408036958474/3692400119774815572919*c_1100_0^12 - 3308825750921545398953/3692400119774815572919*c_1100_0^11 - 2842997792559245571412/3692400119774815572919*c_1100_0^10 + 6647422663109413636581/3692400119774815572919*c_1100_0^9 + 733084885110946996789/3692400119774815572919*c_1100_0^8 - 1332535185991855861618/3692400119774815572919*c_1100_0^7 - 4028961469532641887497/3692400119774815572919*c_1100_0^6 + 628979604794336056206/3692400119774815572919*c_1100_0^5 + 2419731440581341464803/3692400119774815572919*c_1100_0^4 - 2903290150960439672693/3692400119774815572919*c_1100_0^3 - 1643220147629898006112/3692400119774815572919*c_1100_0^2 + 1785019886054525951944/3692400119774815572919*c_1100_0 - 1809996918516218799952/3692400119774815572919, c_0101_0 - 1612564164338100157747/48001201557072602447947*c_1100_0^19 + 6934215961318038485112/48001201557072602447947*c_1100_0^18 - 2155232984619811180845/48001201557072602447947*c_1100_0^17 - 46365186255977510369171/48001201557072602447947*c_1100_0^16 + 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