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Label Polynomial Discriminant Galois group Class group Regulator
15.1.723352547563839.1 x15x142x13+2x122x11+2x10+5x95x8+4x75x64x5+5x42x3+x2+x+1x^{15} - x^{14} - 2 x^{13} + 2 x^{12} - 2 x^{11} + 2 x^{10} + 5 x^{9} - 5 x^{8} + 4 x^{7} - 5 x^{6} - 4 x^{5} + 5 x^{4} - 2 x^{3} + x^{2} + x + 1 3366534026880369-\,3^{3}\cdot 6653\cdot 4026880369 S15S_{15} (as 15T104) trivial 11.741059007411.7410590074
15.3.1788527348449625.1 x152x14+4x139x12+13x1115x10+18x923x8+33x744x6+48x544x4+30x316x2+6x1x^{15} - 2 x^{14} + 4 x^{13} - 9 x^{12} + 13 x^{11} - 15 x^{10} + 18 x^{9} - 23 x^{8} + 33 x^{7} - 44 x^{6} + 48 x^{5} - 44 x^{4} + 30 x^{3} - 16 x^{2} + 6 x - 1 537103735^{3}\cdot 7^{10}\cdot 37^{3} S5×C3S_5 \times C_3 (as 15T24) trivial 26.506820324426.5068203244
15.3.2164169497031757.1 x157x14+23x1345x12+54x1132x1014x9+55x872x7+69x657x5+39x421x3+9x24x+1x^{15} - 7 x^{14} + 23 x^{13} - 45 x^{12} + 54 x^{11} - 32 x^{10} - 14 x^{9} + 55 x^{8} - 72 x^{7} + 69 x^{6} - 57 x^{5} + 39 x^{4} - 21 x^{3} + 9 x^{2} - 4 x + 1 336959311517598873^{3}\cdot 69593\cdot 1151759887 S15S_{15} (as 15T104) trivial 29.665742550529.6657425505
15.3.2354315214908549.1 x15x14+x13x12x11+3x102x9+2x82x7x6+2x3x2+2x1x^{15} - x^{14} + x^{13} - x^{12} - x^{11} + 3 x^{10} - 2 x^{9} + 2 x^{8} - 2 x^{7} - x^{6} + 2 x^{3} - x^{2} + 2 x - 1 277657638479202327765763\cdot 84792023 S15S_{15} (as 15T104) trivial 31.165366319731.1653663197
15.3.2432060458605625.1 x15x142x13+x12+2x114x104x9+3x8+4x72x63x5+5x4+5x3x24x1x^{15} - x^{14} - 2 x^{13} + x^{12} + 2 x^{11} - 4 x^{10} - 4 x^{9} + 3 x^{8} + 4 x^{7} - 2 x^{6} - 3 x^{5} + 5 x^{4} + 5 x^{3} - x^{2} - 4 x - 1 541924765^{4}\cdot 19^{2}\cdot 47^{6} C3D5C_3\wr D_5 (as 15T46) trivial 32.015584392832.0155843928
15.3.3276367268581097.1 x156x13x12+16x11+8x1020x924x8+4x7+31x6+15x515x414x3+x2+4x+1x^{15} - 6 x^{13} - x^{12} + 16 x^{11} + 8 x^{10} - 20 x^{9} - 24 x^{8} + 4 x^{7} + 31 x^{6} + 15 x^{5} - 15 x^{4} - 14 x^{3} + x^{2} + 4 x + 1 32763672685810973276367268581097 S15S_{15} (as 15T104) trivial 37.790987334737.7909873347
15.1.3703260525677583.1 x152x14+x13x125x11+4x103x9+2x8+6x73x6+3x54x45x33x23x1x^{15} - 2 x^{14} + x^{13} - x^{12} - 5 x^{11} + 4 x^{10} - 3 x^{9} + 2 x^{8} + 6 x^{7} - 3 x^{6} + 3 x^{5} - 4 x^{4} - 5 x^{3} - 3 x^{2} - 3 x - 1 3133561866260913-\,3\cdot 13^{3}\cdot 561866260913 S15S_{15} (as 15T104) trivial 39.982334469239.9823344692
15.3.4864965285308625.1 x153x14+6x1312x12+14x1117x10+24x928x8+31x721x6+18x515x4+16x311x2+5x1x^{15} - 3 x^{14} + 6 x^{13} - 12 x^{12} + 14 x^{11} - 17 x^{10} + 24 x^{9} - 28 x^{8} + 31 x^{7} - 21 x^{6} + 18 x^{5} - 15 x^{4} + 16 x^{3} - 11 x^{2} + 5 x - 1 39537113^{9}\cdot 5^{3}\cdot 7^{11} S5×C3S_5 \times C_3 (as 15T24) trivial 50.413814908550.4138149085
15.1.5976545641547631.1 x152x14+5x1310x12+13x1120x10+23x922x8+22x720x6+18x520x4+21x315x2+6x1x^{15} - 2 x^{14} + 5 x^{13} - 10 x^{12} + 13 x^{11} - 20 x^{10} + 23 x^{9} - 22 x^{8} + 22 x^{7} - 20 x^{6} + 18 x^{5} - 20 x^{4} + 21 x^{3} - 15 x^{2} + 6 x - 1 319547910191283363-\,3\cdot 195479\cdot 10191283363 S15S_{15} (as 15T104) trivial 50.843033214350.8430332143
15.3.6114596477365737.1 x153x14+5x132x128x11+18x1018x9+20x727x6+15x5+3x411x3+10x25x+1x^{15} - 3 x^{14} + 5 x^{13} - 2 x^{12} - 8 x^{11} + 18 x^{10} - 18 x^{9} + 20 x^{7} - 27 x^{6} + 15 x^{5} + 3 x^{4} - 11 x^{3} + 10 x^{2} - 5 x + 1 341560148387183773^{4}\cdot 15601\cdot 4838718377 S15S_{15} (as 15T104) trivial 53.460186644653.4601866446
15.1.6401597515801839.1 x15x14x13+2x124x11x10+3x9+3x8+12x72x614x5+7x4+11x36x2+1x^{15} - x^{14} - x^{13} + 2 x^{12} - 4 x^{11} - x^{10} + 3 x^{9} + 3 x^{8} + 12 x^{7} - 2 x^{6} - 14 x^{5} + 7 x^{4} + 11 x^{3} - 6 x^{2} + 1 39133236-\,3^{9}\cdot 13^{3}\cdot 23^{6} S5×S3S_5 \times S_3 (as 15T29) trivial 46.877540357446.8775403574
15.5.8565893077528823.1 x156x13+9x1118x10+x9+32x817x719x6+24x5+3x415x3+3x2+4x1x^{15} - 6 x^{13} + 9 x^{11} - 18 x^{10} + x^{9} + 32 x^{8} - 17 x^{7} - 19 x^{6} + 24 x^{5} + 3 x^{4} - 15 x^{3} + 3 x^{2} + 4 x - 1 2351914-\,23^{5}\cdot 191^{4} C5S3C_5\wr S_3 (as 15T32) trivial 87.802497592487.8024975924
15.5.10496055636998343.1 x154x14+6x13x1211x11+18x1010x99x8+19x712x63x5+9x45x3x2+3x1x^{15} - 4 x^{14} + 6 x^{13} - x^{12} - 11 x^{11} + 18 x^{10} - 10 x^{9} - 9 x^{8} + 19 x^{7} - 12 x^{6} - 3 x^{5} + 9 x^{4} - 5 x^{3} - x^{2} + 3 x - 1 351572377115742009-\,3^{5}\cdot 157\cdot 2377\cdot 115742009 S15S_{15} (as 15T104) trivial 99.299007459699.2990074596
15.3.10544075126076649.1 x156x14+11x13x1210x1113x10+18x9+40x830x764x6+42x5+47x427x319x2+9x+1x^{15} - 6 x^{14} + 11 x^{13} - x^{12} - 10 x^{11} - 13 x^{10} + 18 x^{9} + 40 x^{8} - 30 x^{7} - 64 x^{6} + 42 x^{5} + 47 x^{4} - 27 x^{3} - 19 x^{2} + 9 x + 1 3724321609337^{2}\cdot 43^{2}\cdot 1609^{3} C3S5C_3\wr S_5 (as 15T78) trivial 73.240338893973.2403388939
15.3.11354350039657729.1 x154x14+5x13+x127x11+x10+7x92x88x7+22x637x5+35x420x3+11x27x+1x^{15} - 4 x^{14} + 5 x^{13} + x^{12} - 7 x^{11} + x^{10} + 7 x^{9} - 2 x^{8} - 8 x^{7} + 22 x^{6} - 37 x^{5} + 35 x^{4} - 20 x^{3} + 11 x^{2} - 7 x + 1 13212721609313^{2}\cdot 127^{2}\cdot 1609^{3} C3S5C_3\wr S_5 (as 15T78) trivial 79.489045816579.4890458165
15.3.12853809661090929.1 x15x14x13+3x12x104x9+4x8+2x77x6x5+2x4x3+2x+1x^{15} - x^{14} - x^{13} + 3 x^{12} - x^{10} - 4 x^{9} + 4 x^{8} + 2 x^{7} - 7 x^{6} - x^{5} + 2 x^{4} - x^{3} + 2 x + 1 342846032203636433\cdot 4284603220363643 S15S_{15} (as 15T104) trivial 108.091851993108.091851993
15.3.15315650494266781.1 x152x14+x13x12+7x115x1010x9+7x8+16x715x619x5+27x42x311x2+6x1x^{15} - 2 x^{14} + x^{13} - x^{12} + 7 x^{11} - 5 x^{10} - 10 x^{9} + 7 x^{8} + 16 x^{7} - 15 x^{6} - 19 x^{5} + 27 x^{4} - 2 x^{3} - 11 x^{2} + 6 x - 1 127298293127^{2}\cdot 9829^{3} C3S5C_3\wr S_5 (as 15T78) trivial 87.572779861387.5727798613
15.3.16680932154277329.1 x152x14+6x1314x12+23x1135x10+44x941x8+25x74x620x5+34x430x3+17x26x+1x^{15} - 2 x^{14} + 6 x^{13} - 14 x^{12} + 23 x^{11} - 35 x^{10} + 44 x^{9} - 41 x^{8} + 25 x^{7} - 4 x^{6} - 20 x^{5} + 34 x^{4} - 30 x^{3} + 17 x^{2} - 6 x + 1 347103110571038787393\cdot 47\cdot 103\cdot 11057\cdot 103878739 S15S_{15} (as 15T104) trivial 124.641970008124.641970008
15.3.19664802801826816.1 x155x14+14x1323x12+19x11+7x1041x9+47x810x739x6+50x518x416x3+21x29x+1x^{15} - 5 x^{14} + 14 x^{13} - 23 x^{12} + 19 x^{11} + 7 x^{10} - 41 x^{9} + 47 x^{8} - 10 x^{7} - 39 x^{6} + 50 x^{5} - 18 x^{4} - 16 x^{3} + 21 x^{2} - 9 x + 1 2107972^{10}\cdot 79^{7} D5×S3D_5\times S_3 (as 15T7) trivial 103.698212623103.698212623
15.3.21643467887730481.1 x15x14x13+x127x112x10+18x9+12x817x7+7x611x521x4+22x311x22x1x^{15} - x^{14} - x^{13} + x^{12} - 7 x^{11} - 2 x^{10} + 18 x^{9} + 12 x^{8} - 17 x^{7} + 7 x^{6} - 11 x^{5} - 21 x^{4} + 22 x^{3} - 11 x^{2} - 2 x - 1 132476109213^{2}\cdot 47^{6}\cdot 109^{2} C3D5C_3\wr D_5 (as 15T46) trivial 116.633322592116.633322592
15.3.23713122135310336.1 x155x14+10x135x1215x11+29x108x931x8+36x724x5+12x4+9x39x2+1x^{15} - 5 x^{14} + 10 x^{13} - 5 x^{12} - 15 x^{11} + 29 x^{10} - 8 x^{9} - 31 x^{8} + 36 x^{7} - 24 x^{5} + 12 x^{4} + 9 x^{3} - 9 x^{2} + 1 2186762^{18}\cdot 67^{6} A5A_5 (as 15T5) trivial 133.707274982133.707274982
15.1.24118280788986467.1 x152x14+6x1213x11+13x10x921x8+40x741x6+29x518x4+13x37x2+x+1x^{15} - 2 x^{14} + 6 x^{12} - 13 x^{11} + 13 x^{10} - x^{9} - 21 x^{8} + 40 x^{7} - 41 x^{6} + 29 x^{5} - 18 x^{4} + 13 x^{3} - 7 x^{2} + x + 1 596833-\,59^{6}\cdot 83^{3} S5×S3S_5 \times S_3 (as 15T29) trivial 81.167998999181.1679989991
15.3.31123779291971584.1 x15+x13x125x114x105x9x8+4x7+2x62x54x45x34x23x1x^{15} + x^{13} - x^{12} - 5 x^{11} - 4 x^{10} - 5 x^{9} - x^{8} + 4 x^{7} + 2 x^{6} - 2 x^{5} - 4 x^{4} - 5 x^{3} - 4 x^{2} - 3 x - 1 21858742^{18}\cdot 587^{4} S6S_6 (as 15T28) trivial 152.23669177152.23669177
15.5.35351257235385344.1 x153x135x12+8x11+x10+14x913x817x7+4x6+x5+22x42x38x23x1x^{15} - 3 x^{13} - 5 x^{12} + 8 x^{11} + x^{10} + 14 x^{9} - 13 x^{8} - 17 x^{7} + 4 x^{6} + x^{5} + 22 x^{4} - 2 x^{3} - 8 x^{2} - 3 x - 1 2101113-\,2^{10}\cdot 11^{13} S3×C5S_3 \times C_5 (as 15T4) trivial 211.33204879211.33204879
15.3.39671359416303616.1 x157x14+24x1347x12+46x11+18x10150x9+296x8383x7+371x6282x5+171x483x3+31x28x+1x^{15} - 7 x^{14} + 24 x^{13} - 47 x^{12} + 46 x^{11} + 18 x^{10} - 150 x^{9} + 296 x^{8} - 383 x^{7} + 371 x^{6} - 282 x^{5} + 171 x^{4} - 83 x^{3} + 31 x^{2} - 8 x + 1 2187362^{18}\cdot 73^{6} A5A_5 (as 15T5) trivial 170.85154758170.85154758
15.1.44543599279432079.1 x154x14+4x13+4x125x1113x10+20x9+4x815x713x6+27x54x48x32x2+6x1x^{15} - 4 x^{14} + 4 x^{13} + 4 x^{12} - 5 x^{11} - 13 x^{10} + 20 x^{9} + 4 x^{8} - 15 x^{7} - 13 x^{6} + 27 x^{5} - 4 x^{4} - 8 x^{3} - 2 x^{2} + 6 x - 1 2397-\,239^{7} D15D_{15} (as 15T2) trivial 124.657592501124.657592501
15.3.47090024679574321.1 x15x12x11x82x7+2x5+3x4+2x3x1x^{15} - x^{12} - x^{11} - x^{8} - 2 x^{7} + 2 x^{5} + 3 x^{4} + 2 x^{3} - x - 1 14731414731^{4} S6S_6 (as 15T28) trivial 175.688399353175.688399353
15.3.57352136505929721.1 x152x14+4x1310x12+22x1133x10+40x963x8+81x781x6+63x569x4+57x324x2+3x^{15} - 2 x^{14} + 4 x^{13} - 10 x^{12} + 22 x^{11} - 33 x^{10} + 40 x^{9} - 63 x^{8} + 81 x^{7} - 81 x^{6} + 63 x^{5} - 69 x^{4} + 57 x^{3} - 24 x^{2} + 3 3182363^{18}\cdot 23^{6} C34:A5C_3^4:A_5 (as 15T53) trivial 279.393832589279.393832589
15.1.57477829056511319.1 x152x14+3x133x123x11+6x1014x9+4x89x77x6+7x515x4+4x34x2+2x1x^{15} - 2 x^{14} + 3 x^{13} - 3 x^{12} - 3 x^{11} + 6 x^{10} - 14 x^{9} + 4 x^{8} - 9 x^{7} - 7 x^{6} + 7 x^{5} - 15 x^{4} + 4 x^{3} - 4 x^{2} + 2 x - 1 1609313798511-\,1609^{3}\cdot 13798511 S35.S5S_3^5.S_5 (as 15T93) trivial 145.805581456145.805581456
15.3.59463924292145152.1 x15x146x13+15x129x1113x10+30x931x8+24x714x6+10x518x4+27x321x2+8x1x^{15} - x^{14} - 6 x^{13} + 15 x^{12} - 9 x^{11} - 13 x^{10} + 30 x^{9} - 31 x^{8} + 24 x^{7} - 14 x^{6} + 10 x^{5} - 18 x^{4} + 27 x^{3} - 21 x^{2} + 8 x - 1 2121393722^{12}\cdot 13^{9}\cdot 37^{2} C3F5C_3\wr F_5 (as 15T56) trivial 226.669584518226.669584518
15.1.59770508839234803.1 x152x12+3x93x6+x31x^{15} - 2 x^{12} + 3 x^{9} - 3 x^{6} + x^{3} - 1 31516093-\,3^{15}\cdot 1609^{3} C34:(C2×S5)C_3^4:(C_2\times S_5) (as 15T70) trivial 146.289665433146.289665433
15.1.59770508839234803.2 x15x9x6+x3+1x^{15} - x^{9} - x^{6} + x^{3} + 1 31516093-\,3^{15}\cdot 1609^{3} C34:(C2×S5)C_3^4:(C_2\times S_5) (as 15T70) trivial 158.627231153158.627231153
15.3.69184806150882304.1 x15+x133x123x115x102x9+3x8+7x7+4x6+x5+x4+3x3+x21x^{15} + x^{13} - 3 x^{12} - 3 x^{11} - 5 x^{10} - 2 x^{9} + 3 x^{8} + 7 x^{7} + 4 x^{6} + x^{5} + x^{4} + 3 x^{3} + x^{2} - 1 2104746142^{10}\cdot 47^{4}\cdot 61^{4} S6S_6 (as 15T28) trivial 273.665310463273.665310463
15.1.69378727128301847.1 x152x14+2x132x12+2x114x10+3x9+2x8+x75x6+3x5+3x4+6x3+2x21x^{15} - 2 x^{14} + 2 x^{13} - 2 x^{12} + 2 x^{11} - 4 x^{10} + 3 x^{9} + 2 x^{8} + x^{7} - 5 x^{6} + 3 x^{5} + 3 x^{4} + 6 x^{3} + 2 x^{2} - 1 235476-\,23^{5}\cdot 47^{6} D5×S3D_5\times S_3 (as 15T7) trivial 185.949282778185.949282778
15.5.77595502265817783.1 x153x132x12+x11+12x10+3x915x810x74x6+20x5+7x43x37x24x+1x^{15} - 3 x^{13} - 2 x^{12} + x^{11} + 12 x^{10} + 3 x^{9} - 15 x^{8} - 10 x^{7} - 4 x^{6} + 20 x^{5} + 7 x^{4} - 3 x^{3} - 7 x^{2} - 4 x + 1 313311772948303113-\,3\cdot 13^{3}\cdot 11772948303113 S15S_{15} (as 15T104) trivial 416.964032767416.964032767
15.1.96318312824155136.1 x156x14+19x1339x12+58x1167x10+68x969x8+65x752x6+33x520x4+12x34x2+3x1x^{15} - 6 x^{14} + 19 x^{13} - 39 x^{12} + 58 x^{11} - 67 x^{10} + 68 x^{9} - 69 x^{8} + 65 x^{7} - 52 x^{6} + 33 x^{5} - 20 x^{4} + 12 x^{3} - 4 x^{2} + 3 x - 1 210117136-\,2^{10}\cdot 11^{7}\cdot 13^{6} D5×S3D_5\times S_3 (as 15T7) trivial 226.323474369226.323474369
15.3.98765528526263521.1 x153x14+7x1312x12+8x112x1017x9+36x849x7+54x641x5+30x417x3+8x25x+3x^{15} - 3 x^{14} + 7 x^{13} - 12 x^{12} + 8 x^{11} - 2 x^{10} - 17 x^{9} + 36 x^{8} - 49 x^{7} + 54 x^{6} - 41 x^{5} + 30 x^{4} - 17 x^{3} + 8 x^{2} - 5 x + 3 13331637313^{3}\cdot 31^{6}\cdot 37^{3} S5×S3S_5 \times S_3 (as 15T29) trivial 363.728980494363.728980494
15.3.126064044311049216.1 x154x14+3x13+15x1240x11+23x10+52x9111x8+83x767x5+86x462x3+26x27x+1x^{15} - 4 x^{14} + 3 x^{13} + 15 x^{12} - 40 x^{11} + 23 x^{10} + 52 x^{9} - 111 x^{8} + 83 x^{7} - 67 x^{5} + 86 x^{4} - 62 x^{3} + 26 x^{2} - 7 x + 1 210354772^{10}\cdot 3^{5}\cdot 47^{7} D5×S3D_5\times S_3 (as 15T7) trivial 280.863045663280.863045663
15.3.137631064560062464.1 x15x142x13+3x12+11x115x1014x95x810x7+22x6+14x5+2x413x35x2+1x^{15} - x^{14} - 2 x^{13} + 3 x^{12} + 11 x^{11} - 5 x^{10} - 14 x^{9} - 5 x^{8} - 10 x^{7} + 22 x^{6} + 14 x^{5} + 2 x^{4} - 13 x^{3} - 5 x^{2} + 1 2122366132^{12}\cdot 23^{6}\cdot 61^{3} S5×S3S_5 \times S_3 (as 15T29) trivial 381.090214491381.090214491
15.3.146928604515779584.1 x152x143x13+9x12x115x10+4x9x8+x7x5x4+7x3x2+1x^{15} - 2 x^{14} - 3 x^{13} + 9 x^{12} - x^{11} - 5 x^{10} + 4 x^{9} - x^{8} + x^{7} - x^{5} - x^{4} + 7 x^{3} - x^{2} + 1 210346142^{10}\cdot 3461^{4} S6S_6 (as 15T28) trivial 470.017972215470.017972215
15.1.154669958288795403.1 x15x12+2x93x6+3x31x^{15} - x^{12} + 2 x^{9} - 3 x^{6} + 3 x^{3} - 1 315476-\,3^{15}\cdot 47^{6} C34:D10C_3^4:D_{10} (as 15T43) trivial 255.941349852255.941349852
15.1.154669958288795403.2 x152x12+2x9x6+1x^{15} - 2 x^{12} + 2 x^{9} - x^{6} + 1 315476-\,3^{15}\cdot 47^{6} C34:D10C_3^4:D_{10} (as 15T43) trivial 288.777984962288.777984962
15.1.154669958288795403.3 x153x12+4x93x6+x31x^{15} - 3 x^{12} + 4 x^{9} - 3 x^{6} + x^{3} - 1 315476-\,3^{15}\cdot 47^{6} C34:D10C_3^4:D_{10} (as 15T43) trivial 291.92845219900784291.92845219900784
15.1.154669958288795403.4 x153x12+4x93x6+x31x^{15} - 3 x^{12} + 4 x^{9} - 3 x^{6} + x^{3} - 1 315476-\,3^{15}\cdot 47^{6} C34:D10C_3^4:D_{10} (as 15T43) trivial 291.92845219900784291.92845219900784
15.1.154669958288795403.5 x153x12+4x93x6+x31x^{15} - 3 x^{12} + 4 x^{9} - 3 x^{6} + x^{3} - 1 315476-\,3^{15}\cdot 47^{6} C34:D10C_3^4:D_{10} (as 15T43) trivial 291.92845219900784291.92845219900784
15.1.154669958288795403.6 x153x12+4x93x6+x31x^{15} - 3 x^{12} + 4 x^{9} - 3 x^{6} + x^{3} - 1 315476-\,3^{15}\cdot 47^{6} C34:D10C_3^4:D_{10} (as 15T43) trivial 291.92845219900784291.92845219900784
15.5.154972454814106259.1 x15x142x13+x12+x11x10+2x915x8+8x7+28x634x57x4+27x37x23x+1x^{15} - x^{14} - 2 x^{13} + x^{12} + x^{11} - x^{10} + 2 x^{9} - 15 x^{8} + 8 x^{7} + 28 x^{6} - 34 x^{5} - 7 x^{4} + 27 x^{3} - 7 x^{2} - 3 x + 1 1113672-\,11^{13}\cdot 67^{2} C73:C6C_7^3:C_6 (as 15T44) trivial 492.79424719492.79424719
15.1.196421600341796875.1 x15x10+1x^{15} - x^{10} + 1 515235-\,5^{15}\cdot 23^{5} C52:(C4×S3)C_5^2:(C_4\times S_3) (as 15T27) trivial 358.947276162358.947276162
15.3.274502366303440896.1 x15x14x135x12+5x115x10x9+3x8+7x7+x63x5+x413x3+5x23x+1x^{15} - x^{14} - x^{13} - 5 x^{12} + 5 x^{11} - 5 x^{10} - x^{9} + 3 x^{8} + 7 x^{7} + x^{6} - 3 x^{5} + x^{4} - 13 x^{3} + 5 x^{2} - 3 x + 1 212392372^{12}\cdot 3^{9}\cdot 23^{7} S5×S3S_5 \times S_3 (as 15T29) trivial 525.2779714178208525.2779714178208
15.3.334095024862954369.1 x152x14+3x135x12+x1119x10+16x926x8+55x778x6+88x554x4+39x352x2+21x1x^{15} - 2 x^{14} + 3 x^{13} - 5 x^{12} + x^{11} - 19 x^{10} + 16 x^{9} - 26 x^{8} + 55 x^{7} - 78 x^{6} + 88 x^{5} - 54 x^{4} + 39 x^{3} - 52 x^{2} + 21 x - 1 7121767^{12}\cdot 17^{6} D5×C3D_5\times C_3 (as 15T3) trivial 678.185779099678.185779099
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