Magma V2.19-8 Wed Aug 21 2013 00:59:02 on localhost [Seed = 3431651232] Type ? for help. Type -D to quit. Loading file "L13n6192__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6192 geometric_solution 12.02019403 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 0 1 1 0 0 0 0 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 0 -1 1 -1 0 1 0 6 1 0 -7 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.659790710555 0.877253361035 0 0 5 4 0132 1302 0132 0132 1 1 0 1 0 0 0 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 0 0 0 1 0 -1 0 -5 -1 0 6 -6 7 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452409144943 0.728073175912 6 0 4 7 0132 0132 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 -6 5 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.373425783997 0.817105969879 8 9 10 0 0132 0132 0132 0132 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 -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 0.574028301091 0.641547509683 8 2 1 5 2103 1230 0132 3012 1 1 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 0 0 0 0 0 0 0 -1 0 1 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.083593184069 0.695965723489 6 8 4 1 3201 0321 1230 0132 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.016486508756 1.103796388795 2 8 11 5 0132 2103 0132 2310 1 1 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 -1 1 0 0 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.523674864569 0.409920415874 9 9 2 10 3201 0213 0132 0132 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 0 0 0 0 1 0 0 -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 0.590964239087 0.770667536918 3 6 4 5 0132 2103 2103 0321 1 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 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.076152117852 1.106508927184 11 3 7 7 1302 0132 0213 2310 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 0 0 0 0 0 0 1 0 -1 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 0.590964239087 0.770667536918 12 12 7 3 0132 2310 0132 0132 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 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 0.352521501742 1.085431540835 12 9 12 6 1302 2031 3120 0132 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 -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 0.729336179920 0.833387597141 10 11 11 10 0132 2031 3120 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.270663820080 0.833387597141 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_11' : d['c_0101_6'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : negation(d['c_0101_6']), 'c_1001_5' : negation(d['c_0110_4']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_10']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_0'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : negation(d['c_0011_3']), 'c_1010_10' : negation(d['c_0101_10']), 's_0_10' : 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_0011_10'], 'c_0101_10' : d['c_0101_10'], '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_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0110_4']), 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : d['c_0110_4'], 'c_1100_7' : negation(d['c_1001_4']), 'c_1100_6' : d['c_0011_5'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_1001_4']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_5'], 'c_1100_10' : negation(d['c_1001_4']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_0101_1'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['c_0011_10']), 's_1_7' : d['1'], 's_1_6' : negation(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' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(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_11']), 'c_0011_6' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : negation(d['c_0011_5']), 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : negation(d['c_0011_5']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_6']), 'c_0110_8' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_6, c_0110_4, c_1001_0, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 334446173476765/4338777720898*c_1001_4^14 + 1928588330997649/4338777720898*c_1001_4^13 + 2852752151526967/4338777720898*c_1001_4^12 + 6783467799194885/4338777720898*c_1001_4^11 + 7043135061235196/2169388860449*c_1001_4^10 + 25227112444586453/4338777720898*c_1001_4^9 + 45403160307777063/4338777720898*c_1001_4^8 + 62207100205257689/4338777720898*c_1001_4^7 + 33270335308125526/2169388860449*c_1001_4^6 + 61276653744625237/4338777720898*c_1001_4^5 + 44260795132988341/4338777720898*c_1001_4^4 + 19011052581569739/4338777720898*c_1001_4^3 - 2876152713030113/4338777720898*c_1001_4^2 - 3223094575945355/2169388860449*c_1001_4 - 948869184783983/4338777720898, c_0011_0 - 1, c_0011_10 + 933478401130/2169388860449*c_1001_4^14 + 4843430522093/2169388860449*c_1001_4^13 + 5339118133488/2169388860449*c_1001_4^12 + 16756019866106/2169388860449*c_1001_4^11 + 30645352147809/2169388860449*c_1001_4^10 + 56016680211290/2169388860449*c_1001_4^9 + 100338918723982/2169388860449*c_1001_4^8 + 126733315699932/2169388860449*c_1001_4^7 + 132841128580274/2169388860449*c_1001_4^6 + 119857226906419/2169388860449*c_1001_4^5 + 84251830464271/2169388860449*c_1001_4^4 + 32748573419652/2169388860449*c_1001_4^3 - 4736084968845/2169388860449*c_1001_4^2 - 2232083787683/2169388860449*c_1001_4 + 984123854233/2169388860449, c_0011_11 - 671751752492/2169388860449*c_1001_4^14 - 3459006356466/2169388860449*c_1001_4^13 - 3818681699327/2169388860449*c_1001_4^12 - 12345820954699/2169388860449*c_1001_4^11 - 21644129793209/2169388860449*c_1001_4^10 - 41445831118521/2169388860449*c_1001_4^9 - 71877381056190/2169388860449*c_1001_4^8 - 93246719751650/2169388860449*c_1001_4^7 - 98296442903224/2169388860449*c_1001_4^6 - 89777732522714/2169388860449*c_1001_4^5 - 64297738514439/2169388860449*c_1001_4^4 - 27444027814866/2169388860449*c_1001_4^3 + 2102995659276/2169388860449*c_1001_4^2 + 1633529606875/2169388860449*c_1001_4 - 598616117635/2169388860449, c_0011_3 + c_1001_4, c_0011_5 + 140620988378/2169388860449*c_1001_4^14 + 706848233089/2169388860449*c_1001_4^13 + 600044403815/2169388860449*c_1001_4^12 + 2069849780513/2169388860449*c_1001_4^11 + 4314749981380/2169388860449*c_1001_4^10 + 6586089434472/2169388860449*c_1001_4^9 + 12603768926080/2169388860449*c_1001_4^8 + 14729753888162/2169388860449*c_1001_4^7 + 12933023781747/2169388860449*c_1001_4^6 + 13093765390766/2169388860449*c_1001_4^5 + 7313007425604/2169388860449*c_1001_4^4 + 751699024025/2169388860449*c_1001_4^3 - 1872738087511/2169388860449*c_1001_4^2 + 1717106059374/2169388860449*c_1001_4 + 1311682903290/2169388860449, c_0101_0 - 141562627169/2169388860449*c_1001_4^14 - 848434124223/2169388860449*c_1001_4^13 - 1274040380556/2169388860449*c_1001_4^12 - 2581944448146/2169388860449*c_1001_4^11 - 6282911436479/2169388860449*c_1001_4^10 - 10489349735773/2169388860449*c_1001_4^9 - 18605197418570/2169388860449*c_1001_4^8 - 26274850502042/2169388860449*c_1001_4^7 - 25402749077229/2169388860449*c_1001_4^6 - 23770307259782/2169388860449*c_1001_4^5 - 18343796700629/2169388860449*c_1001_4^4 - 5532038103748/2169388860449*c_1001_4^3 + 816585518991/2169388860449*c_1001_4^2 + 19264725423/2169388860449*c_1001_4 - 1170120276121/2169388860449, c_0101_1 - 1, c_0101_10 + 155721691487/2169388860449*c_1001_4^14 + 911192252698/2169388860449*c_1001_4^13 + 1313173978168/2169388860449*c_1001_4^12 + 2851421702313/2169388860449*c_1001_4^11 + 6605019107110/2169388860449*c_1001_4^10 + 11017811823911/2169388860449*c_1001_4^9 + 20042829697981/2169388860449*c_1001_4^8 + 27549625217879/2169388860449*c_1001_4^7 + 26459419067685/2169388860449*c_1001_4^6 + 25452736696260/2169388860449*c_1001_4^5 + 17517572233452/2169388860449*c_1001_4^4 + 7426348511435/2169388860449*c_1001_4^3 - 1093592808141/2169388860449*c_1001_4^2 - 859172601413/2169388860449*c_1001_4 + 1174805206111/2169388860449, c_0101_2 + 136877697179/2169388860449*c_1001_4^14 + 806165479965/2169388860449*c_1001_4^13 + 1164432952181/2169388860449*c_1001_4^12 + 2435057460764/2169388860449*c_1001_4^11 + 5788557542792/2169388860449*c_1001_4^10 + 9754968226022/2169388860449*c_1001_4^9 + 17331831462022/2169388860449*c_1001_4^8 + 23769054184911/2169388860449*c_1001_4^7 + 22905207634002/2169388860449*c_1001_4^6 + 21514295191886/2169388860449*c_1001_4^5 + 15700956616201/2169388860449*c_1001_4^4 + 5810125762095/2169388860449*c_1001_4^3 - 2842073966398/2169388860449*c_1001_4^2 - 1874166856802/2169388860449*c_1001_4 + 2028767872071/2169388860449, c_0101_6 + 155721691487/2169388860449*c_1001_4^14 + 911192252698/2169388860449*c_1001_4^13 + 1313173978168/2169388860449*c_1001_4^12 + 2851421702313/2169388860449*c_1001_4^11 + 6605019107110/2169388860449*c_1001_4^10 + 11017811823911/2169388860449*c_1001_4^9 + 20042829697981/2169388860449*c_1001_4^8 + 27549625217879/2169388860449*c_1001_4^7 + 26459419067685/2169388860449*c_1001_4^6 + 25452736696260/2169388860449*c_1001_4^5 + 17517572233452/2169388860449*c_1001_4^4 + 7426348511435/2169388860449*c_1001_4^3 - 1093592808141/2169388860449*c_1001_4^2 - 859172601413/2169388860449*c_1001_4 + 1174805206111/2169388860449, c_0110_4 + 141562627169/2169388860449*c_1001_4^14 + 848434124223/2169388860449*c_1001_4^13 + 1274040380556/2169388860449*c_1001_4^12 + 2581944448146/2169388860449*c_1001_4^11 + 6282911436479/2169388860449*c_1001_4^10 + 10489349735773/2169388860449*c_1001_4^9 + 18605197418570/2169388860449*c_1001_4^8 + 26274850502042/2169388860449*c_1001_4^7 + 25402749077229/2169388860449*c_1001_4^6 + 23770307259782/2169388860449*c_1001_4^5 + 18343796700629/2169388860449*c_1001_4^4 + 5532038103748/2169388860449*c_1001_4^3 - 816585518991/2169388860449*c_1001_4^2 - 2188653585872/2169388860449*c_1001_4 + 1170120276121/2169388860449, c_1001_0 + 141562627169/2169388860449*c_1001_4^14 + 848434124223/2169388860449*c_1001_4^13 + 1274040380556/2169388860449*c_1001_4^12 + 2581944448146/2169388860449*c_1001_4^11 + 6282911436479/2169388860449*c_1001_4^10 + 10489349735773/2169388860449*c_1001_4^9 + 18605197418570/2169388860449*c_1001_4^8 + 26274850502042/2169388860449*c_1001_4^7 + 25402749077229/2169388860449*c_1001_4^6 + 23770307259782/2169388860449*c_1001_4^5 + 18343796700629/2169388860449*c_1001_4^4 + 5532038103748/2169388860449*c_1001_4^3 - 816585518991/2169388860449*c_1001_4^2 - 2188653585872/2169388860449*c_1001_4 + 1170120276121/2169388860449, c_1001_4^15 + 6*c_1001_4^14 + 10*c_1001_4^13 + 23*c_1001_4^12 + 48*c_1001_4^11 + 88*c_1001_4^10 + 159*c_1001_4^9 + 228*c_1001_4^8 + 261*c_1001_4^7 + 256*c_1001_4^6 + 205*c_1001_4^5 + 117*c_1001_4^4 + 28*c_1001_4^3 - 8*c_1001_4^2 - 4*c_1001_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.350 seconds, Total memory usage: 32.09MB