Magma V2.19-8 Tue Aug 20 2013 23:57:06 on localhost [Seed = 223045089] Type ? for help. Type -D to quit. Loading file "L14n28886__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n28886 geometric_solution 11.23049935 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 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 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 0.152851271732 1.056398103749 0 5 7 6 0132 0132 0132 0132 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.341614420501 0.923488014361 7 0 4 8 2031 0132 1302 0132 1 1 0 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 -1 0 1 2 0 0 -2 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.580864550353 0.979512082550 8 9 10 0 1023 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.144460059179 1.165577437137 2 6 0 10 2031 2310 0132 0132 1 1 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 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.332093731265 0.887985366822 11 1 8 6 0132 0132 1302 2310 1 0 1 0 0 0 -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 0 0 0 0 0 0 0 1 -1 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 0.922549747029 0.944417313746 5 9 1 4 3201 1302 0132 3201 1 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 0 0 0 0 0 0 1 0 0 -1 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.494652848681 0.577034020250 11 10 2 1 1302 0132 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 2 -2 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 -0.377913366801 1.453340813905 5 3 2 11 2031 1023 0132 3012 1 1 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 0 -1 1 -1 0 2 -1 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.280442897219 0.694180574169 11 3 10 6 3012 0132 1302 2031 1 1 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 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.609715515663 1.072301926135 9 7 4 3 2031 0132 0132 0132 1 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 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 0 0 0 0 0 0 0 0 0 0 -0.310726885786 0.781895056758 5 7 8 9 0132 2031 1230 1230 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 0 0 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 0.690188100208 1.062990659986 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_1']), 'c_1001_10' : negation(d['c_0110_6']), 'c_1001_5' : d['c_0110_8'], 'c_1001_4' : d['c_0101_10'], 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : d['c_0110_8'], 'c_1001_1' : negation(d['c_0110_6']), 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0101_10'], 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : d['c_0101_3'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_0011_6'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0101_0']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(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' : d['c_0101_10'], 'c_1100_8' : d['c_0101_1'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_4']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_1'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0110_8'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0110_6']), 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0110_8'], 'c_1010_0' : d['c_0101_10'], 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : d['c_0101_0'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : negation(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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_3']), 'c_0110_10' : d['c_0101_3'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0011_6'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_8'], 'c_0110_8' : d['c_0110_8'], '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_6'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0110_6, c_0110_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 94823243168260810750/63183843245971661787*c_1100_0^9 - 60502368556551976745/21061281081990553929*c_1100_0^8 - 34516120110403300099/7020427027330184643*c_1100_0^7 + 153795851182178689249/21061281081990553929*c_1100_0^6 + 183182212551702777646/9026263320853094541*c_1100_0^5 - 851834215396988253482/63183843245971661787*c_1100_0^4 + 227352876969715320076/21061281081990553929*c_1100_0^3 + 3162162464864261216975/63183843245971661787*c_1100_0^2 + 4338266580809864169337/63183843245971661787*c_1100_0 + 1429877309952148135676/63183843245971661787, c_0011_0 - 1, c_0011_10 + 2340213565/424352343061*c_1100_0^9 + 51182345432/1273057029183*c_1100_0^8 - 116360762531/1273057029183*c_1100_0^7 - 68992642021/424352343061*c_1100_0^6 + 146056271185/1273057029183*c_1100_0^5 + 341453072558/424352343061*c_1100_0^4 + 486045805268/1273057029183*c_1100_0^3 + 946040791405/1273057029183*c_1100_0^2 + 1312142502325/1273057029183*c_1100_0 + 1651083912809/1273057029183, c_0011_3 - 140907011515/1273057029183*c_1100_0^9 + 25550764322/424352343061*c_1100_0^8 + 827884518895/1273057029183*c_1100_0^7 - 50665772855/1273057029183*c_1100_0^6 - 2612862487058/1273057029183*c_1100_0^5 - 1435938734356/1273057029183*c_1100_0^4 - 212871431168/424352343061*c_1100_0^3 - 6836222521981/1273057029183*c_1100_0^2 - 2881941867905/424352343061*c_1100_0 - 5407852772662/1273057029183, c_0011_4 - 4087827110/74885707599*c_1100_0^9 + 4532131414/74885707599*c_1100_0^8 + 21967211353/74885707599*c_1100_0^7 - 14645095261/74885707599*c_1100_0^6 - 74993141630/74885707599*c_1100_0^5 + 7058914120/74885707599*c_1100_0^4 + 12810108085/74885707599*c_1100_0^3 - 56834529164/24961902533*c_1100_0^2 - 244761933997/74885707599*c_1100_0 - 207460132375/74885707599, c_0011_6 + 135175963540/1273057029183*c_1100_0^9 - 173981604571/1273057029183*c_1100_0^8 - 208451507639/424352343061*c_1100_0^7 + 476824393907/1273057029183*c_1100_0^6 + 745687243155/424352343061*c_1100_0^5 - 564182604233/1273057029183*c_1100_0^4 + 84021334433/1273057029183*c_1100_0^3 + 6759700231829/1273057029183*c_1100_0^2 + 9337004849863/1273057029183*c_1100_0 + 1347914450650/424352343061, c_0101_0 - 325985273510/1273057029183*c_1100_0^9 + 592021063364/1273057029183*c_1100_0^8 + 371307005249/424352343061*c_1100_0^7 - 1391419539799/1273057029183*c_1100_0^6 - 1557376174832/424352343061*c_1100_0^5 + 2405205584725/1273057029183*c_1100_0^4 - 2064192169234/1273057029183*c_1100_0^3 - 11053597154821/1273057029183*c_1100_0^2 - 15965636733038/1273057029183*c_1100_0 - 1363499939697/424352343061, c_0101_1 - 1, c_0101_10 - 56619998360/1273057029183*c_1100_0^9 + 134001573164/1273057029183*c_1100_0^8 + 49402106886/424352343061*c_1100_0^7 - 455884675018/1273057029183*c_1100_0^6 - 145593573329/424352343061*c_1100_0^5 + 935004195955/1273057029183*c_1100_0^4 - 831464550604/1273057029183*c_1100_0^3 - 2367357258625/1273057029183*c_1100_0^2 - 718720226594/1273057029183*c_1100_0 + 29321795875/424352343061, c_0101_3 + 23359740635/424352343061*c_1100_0^9 - 160583330842/1273057029183*c_1100_0^8 - 166104152531/1273057029183*c_1100_0^7 + 155773165395/424352343061*c_1100_0^6 + 665323004980/1273057029183*c_1100_0^5 - 413651297191/424352343061*c_1100_0^4 + 1340582579048/1273057029183*c_1100_0^3 + 3240685475674/1273057029183*c_1100_0^2 + 2546565850342/1273057029183*c_1100_0 - 73673188186/1273057029183, c_0110_6 + 24237450765/424352343061*c_1100_0^9 - 115928285593/1273057029183*c_1100_0^8 - 324211127672/1273057029183*c_1100_0^7 + 119390997684/424352343061*c_1100_0^6 + 1316126414614/1273057029183*c_1100_0^5 - 261718665562/424352343061*c_1100_0^4 - 206235725857/1273057029183*c_1100_0^3 + 2862204700186/1273057029183*c_1100_0^2 + 3782275924069/1273057029183*c_1100_0 + 162312335324/1273057029183, c_0110_8 + 436833588355/1273057029183*c_1100_0^9 - 248484464839/424352343061*c_1100_0^8 - 1706866432693/1273057029183*c_1100_0^7 + 2022024521429/1273057029183*c_1100_0^6 + 6731693714762/1273057029183*c_1100_0^5 - 3165739957241/1273057029183*c_1100_0^4 + 270518176904/424352343061*c_1100_0^3 + 15660807410215/1273057029183*c_1100_0^2 + 7384844880605/424352343061*c_1100_0 + 8691869968285/1273057029183, c_1100_0^10 - 7/5*c_1100_0^9 - 21/5*c_1100_0^8 + 3*c_1100_0^7 + 16*c_1100_0^6 - 8/5*c_1100_0^5 + 14/5*c_1100_0^4 + 181/5*c_1100_0^3 + 321/5*c_1100_0^2 + 198/5*c_1100_0 + 43/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.310 seconds, Total memory usage: 32.09MB