Magma V2.19-8 Tue Aug 20 2013 16:17:03 on localhost [Seed = 2749513585] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1303 geometric_solution 5.19127376 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 1230 3012 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.348803118207 0.172202924309 0 0 2 2 0132 2310 2310 0132 0 0 0 0 0 0 0 0 1 0 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.575600983118 1.044887287893 3 1 1 4 0132 3201 0132 0132 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 0 0 0 -1 0 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 0.808277761365 0.292809973143 2 4 6 5 0132 0321 0132 0132 0 0 0 0 0 -1 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 1 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 0.965962325139 0.620980135741 6 5 2 3 0132 1023 0132 0321 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.965962325139 0.620980135741 4 5 3 5 1023 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.710751969513 0.426834403849 4 6 6 3 0132 1230 3012 0132 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 1 -1 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 0.529174354559 0.564570201217 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : 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_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : negation(d['c_0101_1']), '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_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_2'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_2'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 38363911434669456892/429488432316385365*c_0110_5^13 - 248892074538987948197/429488432316385365*c_0110_5^12 - 295261258601336741/293566939382355*c_0110_5^11 - 11984274025073464147/7808880587570643*c_0110_5^10 - 45028859688113853911/7808880587570643*c_0110_5^9 - 966505442686666796722/429488432316385365*c_0110_5^8 - 5869849002891428842534/429488432316385365*c_0110_5^7 - 97389129629664712450/28632562154425691*c_0110_5^6 - 874377652692017440579/85897686463277073*c_0110_5^5 + 506069249283742718003/429488432316385365*c_0110_5^4 + 354818958515111266376/429488432316385365*c_0110_5^3 - 290016297850887964492/429488432316385365*c_0110_5^2 + 211984297105803297034/429488432316385365*c_0110_5 + 76813675252563800737/429488432316385365, c_0011_0 - 1, c_0011_2 - 214685140144/2226655428449*c_0110_5^13 + 1492522969114/2226655428449*c_0110_5^12 + 95036226736/117192390971*c_0110_5^11 + 2295987328868/2226655428449*c_0110_5^10 + 12034654765622/2226655428449*c_0110_5^9 - 1312368314632/2226655428449*c_0110_5^8 + 28323373490353/2226655428449*c_0110_5^7 - 5897066148141/2226655428449*c_0110_5^6 + 14662888058701/2226655428449*c_0110_5^5 - 11111168696052/2226655428449*c_0110_5^4 - 5023047992661/2226655428449*c_0110_5^3 + 3427479590980/2226655428449*c_0110_5^2 - 1573727887094/2226655428449*c_0110_5 - 376116065919/2226655428449, c_0011_4 + 827021905012/2226655428449*c_0110_5^13 - 5920621006065/2226655428449*c_0110_5^12 - 291354779505/117192390971*c_0110_5^11 - 9138425861596/2226655428449*c_0110_5^10 - 45521658447703/2226655428449*c_0110_5^9 + 12718783894050/2226655428449*c_0110_5^8 - 122789524603042/2226655428449*c_0110_5^7 + 52054987350073/2226655428449*c_0110_5^6 - 97295008348511/2226655428449*c_0110_5^5 + 74883123423930/2226655428449*c_0110_5^4 - 16724690310808/2226655428449*c_0110_5^3 - 3113975246559/2226655428449*c_0110_5^2 + 7755295826229/2226655428449*c_0110_5 - 2220287437543/2226655428449, c_0101_0 + 381293561199/2226655428449*c_0110_5^13 - 1983325832520/2226655428449*c_0110_5^12 - 402977286328/117192390971*c_0110_5^11 - 10897077046892/2226655428449*c_0110_5^10 - 30959257481257/2226655428449*c_0110_5^9 - 38067956338698/2226655428449*c_0110_5^8 - 59176795477501/2226655428449*c_0110_5^7 - 84624776980535/2226655428449*c_0110_5^6 - 33838671370834/2226655428449*c_0110_5^5 - 44425404005355/2226655428449*c_0110_5^4 + 33779228352346/2226655428449*c_0110_5^3 - 1989110542045/2226655428449*c_0110_5^2 + 1160619439169/2226655428449*c_0110_5 + 4839143245866/2226655428449, c_0101_1 + 616983294655/2226655428449*c_0110_5^13 - 3408337868137/2226655428449*c_0110_5^12 - 579713030142/117192390971*c_0110_5^11 - 15953668591606/2226655428449*c_0110_5^10 - 47514099584266/2226655428449*c_0110_5^9 - 49801118487855/2226655428449*c_0110_5^8 - 94664328164241/2226655428449*c_0110_5^7 - 106315547975217/2226655428449*c_0110_5^6 - 58026055046392/2226655428449*c_0110_5^5 - 44973195775048/2226655428449*c_0110_5^4 + 43216809699306/2226655428449*c_0110_5^3 + 3353592225840/2226655428449*c_0110_5^2 + 537352741301/2226655428449*c_0110_5 + 4355199228363/2226655428449, c_0101_3 + 248243782913/2226655428449*c_0110_5^13 - 1088056716267/2226655428449*c_0110_5^12 - 339626799694/117192390971*c_0110_5^11 - 8321903411930/2226655428449*c_0110_5^10 - 22580622170945/2226655428449*c_0110_5^9 - 36227453099608/2226655428449*c_0110_5^8 - 33847138770490/2226655428449*c_0110_5^7 - 86770065993121/2226655428449*c_0110_5^6 - 6911898303973/2226655428449*c_0110_5^5 - 52245633372349/2226655428449*c_0110_5^4 + 39579878002709/2226655428449*c_0110_5^3 + 966501964649/2226655428449*c_0110_5^2 - 2020526180813/2226655428449*c_0110_5 + 4044008430467/2226655428449, c_0110_5^14 - 7*c_0110_5^13 - 8*c_0110_5^12 - 11*c_0110_5^11 - 55*c_0110_5^10 + 9*c_0110_5^9 - 136*c_0110_5^8 + 42*c_0110_5^7 - 85*c_0110_5^6 + 74*c_0110_5^5 + 9*c_0110_5^4 - 14*c_0110_5^3 + 8*c_0110_5^2 - c_0110_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB