Magma V2.19-8 Tue Aug 20 2013 17:56:36 on localhost [Seed = 896827675] Type ? for help. Type -D to quit. Loading file "9^2_21__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_21 geometric_solution 9.81472970 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 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 1 0 -1 0 0 0 0 -1 1 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.230646066241 1.513454245343 0 5 6 4 0132 0132 0132 1023 1 1 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 5 -5 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.200133787079 0.415661140270 4 0 7 3 1023 0132 0132 3120 1 1 0 0 0 1 -1 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 1 0 -1 0 4 0 0 -4 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.145840380617 0.475629516831 2 8 6 0 3120 0132 1023 0132 1 1 0 1 0 0 1 -1 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 4 1 0 -5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.246542537939 0.815409393330 5 2 0 1 0132 1023 0132 1023 1 1 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 -1 1 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.703673171935 2.548361538561 4 1 9 10 0132 0132 0132 0132 1 1 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 -4 5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.698758213821 0.818956315490 10 8 3 1 0132 1230 1023 0132 1 1 0 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 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 0.409938708578 0.476668487720 9 9 8 2 0321 3120 0132 0132 1 1 0 1 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 0 0 0 0 -1 1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.143350152300 0.986260245365 10 3 6 7 1023 0132 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746224894891 1.699295956185 7 7 10 5 0321 3120 2031 0132 1 1 0 1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.143350152300 0.986260245365 6 8 5 9 0132 1023 0132 1302 1 1 1 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 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 0.783354936791 0.493341996976 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_10' : d['c_0101_8'], 'c_1001_5' : negation(d['c_0011_7']), 'c_1001_4' : negation(d['c_0011_9']), 'c_1001_7' : d['c_0101_6'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_8'], 'c_1001_0' : d['c_0011_10'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0011_9']), 'c_1001_9' : negation(d['c_0101_6']), 'c_1001_8' : d['c_0011_10'], 'c_1010_10' : d['c_0101_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_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_2_7' : d['1'], 's_2_10' : 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' : 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_9' : negation(d['c_0101_7']), 'c_1100_8' : negation(d['c_0101_3']), 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_1100_0']), 'c_1100_1' : negation(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_3']), 'c_1100_10' : negation(d['c_0101_7']), 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_0101_8'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0011_10'], 'c_1010_2' : d['c_0011_10'], 'c_1010_1' : negation(d['c_0011_7']), 'c_1010_0' : negation(d['c_0011_9']), 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : d['c_0101_6'], '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'], '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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(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_10' : d['c_0101_6'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_7']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_9']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_7']), 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0101_7'], '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_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : negation(d['c_0011_9']), 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_3, c_0101_6, c_0101_7, c_0101_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 6079389939388497626775/83433650843210684848*c_1100_0^9 - 103309510524561193640101/83433650843210684848*c_1100_0^8 - 2339168760695245818812547/83433650843210684848*c_1100_0^7 + 9732553048267964705961/20858412710802671212*c_1100_0^6 + 1249496272503941077231769/41716825421605342424*c_1100_0^5 - 20148842614284021848789/10429206355401335606*c_1100_0^4 - 772138524631782155587209/83433650843210684848*c_1100_0^3 + 473553680733600138505729/83433650843210684848*c_1100_0^2 - 360244240049726745303157/83433650843210684848*c_1100_0 - 63334593044126764998891/83433650843210684848, c_0011_0 - 1, c_0011_10 - 325401242953797/21111753755873149*c_1100_0^9 - 5916380386702469/21111753755873149*c_1100_0^8 - 131910774919559469/21111753755873149*c_1100_0^7 - 148996515161401414/21111753755873149*c_1100_0^6 + 84421894319214933/21111753755873149*c_1100_0^5 + 150624289488007947/21111753755873149*c_1100_0^4 - 8065773595725017/21111753755873149*c_1100_0^3 - 28697263187523168/21111753755873149*c_1100_0^2 - 8639504555987909/21111753755873149*c_1100_0 - 25312433090142111/21111753755873149, c_0011_7 + 438013137082063/21111753755873149*c_1100_0^9 + 7603913432312913/21111753755873149*c_1100_0^8 + 171251235303711491/21111753755873149*c_1100_0^7 + 58780234682018241/21111753755873149*c_1100_0^6 - 185578864628316239/21111753755873149*c_1100_0^5 - 51874253685003512/21111753755873149*c_1100_0^4 + 95322049500860270/21111753755873149*c_1100_0^3 - 6136469326304735/21111753755873149*c_1100_0^2 - 17165902306912596/21111753755873149*c_1100_0 + 15566496322258243/21111753755873149, c_0011_9 + 172378386916274/21111753755873149*c_1100_0^9 + 2952629814934116/21111753755873149*c_1100_0^8 + 66601393980374409/21111753755873149*c_1100_0^7 + 5826641568293941/21111753755873149*c_1100_0^6 - 117442250375175067/21111753755873149*c_1100_0^5 + 458895957767822/21111753755873149*c_1100_0^4 + 73934722262488709/21111753755873149*c_1100_0^3 - 28381156583162861/21111753755873149*c_1100_0^2 - 2947007244832955/21111753755873149*c_1100_0 + 19691921511253597/21111753755873149, c_0101_0 - 1, c_0101_1 - 235585621967009/21111753755873149*c_1100_0^9 - 4274427080898955/21111753755873149*c_1100_0^8 - 95194234664726142/21111753755873149*c_1100_0^7 - 101800853967933514/21111753755873149*c_1100_0^6 + 120639462592152526/21111753755873149*c_1100_0^5 + 101138091677097713/21111753755873149*c_1100_0^4 - 69920941616836180/21111753755873149*c_1100_0^3 - 20782257207280240/21111753755873149*c_1100_0^2 + 33736503184157171/21111753755873149*c_1100_0 - 9726737662383828/21111753755873149, c_0101_3 - 124516485846778/21111753755873149*c_1100_0^9 - 2343750392507893/21111753755873149*c_1100_0^8 - 51934926106491775/21111753755873149*c_1100_0^7 - 89530072239835870/21111753755873149*c_1100_0^6 - 7642699974342168/21111753755873149*c_1100_0^5 + 65462059669880368/21111753755873149*c_1100_0^4 + 45803890810778633/21111753755873149*c_1100_0^3 - 7578101711482506/21111753755873149*c_1100_0^2 - 17027633526146260/21111753755873149*c_1100_0 - 5991534290841096/21111753755873149, c_0101_6 - 319073121540823/21111753755873149*c_1100_0^9 - 5754164903813978/21111753755873149*c_1100_0^8 - 128422184246324906/21111753755873149*c_1100_0^7 - 125846061780270515/21111753755873149*c_1100_0^6 + 130058803076690265/21111753755873149*c_1100_0^5 + 142328991446727376/21111753755873149*c_1100_0^4 - 33754736745541448/21111753755873149*c_1100_0^3 - 52772420992392206/21111753755873149*c_1100_0^2 - 10596495743975937/21111753755873149*c_1100_0 + 5054471765105616/21111753755873149, c_0101_7 - 65127019510369/21111753755873149*c_1100_0^9 - 1333783665457328/21111753755873149*c_1100_0^8 - 28936790317821483/21111753755873149*c_1100_0^7 - 87255291850046765/21111753755873149*c_1100_0^6 + 21173275473249971/21111753755873149*c_1100_0^5 + 100978863617602098/21111753755873149*c_1100_0^4 + 16069918597818351/21111753755873149*c_1100_0^3 - 28498637789677135/21111753755873149*c_1100_0^2 - 14131194569076134/21111753755873149*c_1100_0 + 710151797454675/21111753755873149, c_0101_8 - 484174008900357/21111753755873149*c_1100_0^9 - 8538136124598245/21111753755873149*c_1100_0^8 - 191575717042611842/21111753755873149*c_1100_0^7 - 116366934606751979/21111753755873149*c_1100_0^6 + 199768916339854113/21111753755873149*c_1100_0^5 + 135414928219238506/21111753755873149*c_1100_0^4 - 42729780499377805/21111753755873149*c_1100_0^3 - 15465846051384289/21111753755873149*c_1100_0^2 - 305205566822376/21111753755873149*c_1100_0 - 23552702084276055/21111753755873149, c_1100_0^10 + 18*c_1100_0^9 + 402*c_1100_0^8 + 383*c_1100_0^7 - 370*c_1100_0^6 - 394*c_1100_0^5 + 103*c_1100_0^4 + 58*c_1100_0^3 - 6*c_1100_0^2 + 58*c_1100_0 + 19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB