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Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)

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Label Polynomial Discriminant Galois group Class group Regulator
3.1.9064.1 $x^{3} - x^{2} + 21 x - 1$ $-\,2^{3}\cdot 11\cdot 103$ $S_3$ (as 3T2) $[13]$ $3.0423560499$
3.1.12244.1 $x^{3} - x^{2} + 16 x + 54$ $-\,2^{2}\cdot 3061$ $S_3$ (as 3T2) $[11]$ $4.44084871288$
3.1.13368.1 $x^{3} - x^{2} + 24 x - 12$ $-\,2^{3}\cdot 3\cdot 557$ $S_3$ (as 3T2) $[11]$ $4.55398884234$
3.1.13668.1 $x^{3} - x^{2} + 17 x + 31$ $-\,2^{2}\cdot 3\cdot 17\cdot 67$ $S_3$ (as 3T2) $[11]$ $4.67186748369$
3.1.14532.1 $x^{3} - x^{2} - 8 x + 96$ $-\,2^{2}\cdot 3\cdot 7\cdot 173$ $S_3$ (as 3T2) $[13]$ $4.48648466448$
3.1.14536.1 $x^{3} + 22 x - 24$ $-\,2^{3}\cdot 23\cdot 79$ $S_3$ (as 3T2) $[11]$ $3.22370441202$
3.1.14664.1 $x^{3} - x^{2} + 13 x + 39$ $-\,2^{3}\cdot 3\cdot 13\cdot 47$ $S_3$ (as 3T2) $[13]$ $3.37555689089$
3.1.15063.1 $x^{3} - x^{2} - 2 x + 48$ $-\,3\cdot 5021$ $S_3$ (as 3T2) $[17]$ $5.11716830786$
3.1.15364.1 $x^{3} - x^{2} + 25 x - 1$ $-\,2^{2}\cdot 23\cdot 167$ $S_3$ (as 3T2) $[13]$ $3.21733637285$
3.1.15396.1 $x^{3} - x^{2} + 16 x - 6$ $-\,2^{2}\cdot 3\cdot 1283$ $S_3$ (as 3T2) $[11]$ $5.7963440538$
3.1.16787.1 $x^{3} - x^{2} + 11 x + 70$ $-\,16787$ $S_3$ (as 3T2) $[14]$ $3.78932685711$
3.1.17988.1 $x^{3} + 21 x - 68$ $-\,2^{2}\cdot 3\cdot 1499$ $S_3$ (as 3T2) $[11]$ $5.06831059187$
3.1.19919.4 $x^{3} - x^{2} + 6 x - 56$ $-\,19919$ $S_3$ (as 3T2) $[12]$ $6.68336251414$
3.1.20276.2 $x^{3} - x^{2} + 36 x - 18$ $-\,2^{2}\cdot 37\cdot 137$ $S_3$ (as 3T2) $[15]$ $4.96289387073$
3.1.22164.1 $x^{3} - x^{2} - 4 x - 56$ $-\,2^{2}\cdot 3\cdot 1847$ $S_3$ (as 3T2) $[16]$ $5.15312468384$
3.1.22168.1 $x^{3} + 10 x - 56$ $-\,2^{3}\cdot 17\cdot 163$ $S_3$ (as 3T2) $[17]$ $3.60429825157$
3.1.22395.2 $x^{3} - x^{2} - 15 x + 42$ $-\,3\cdot 5\cdot 1493$ $S_3$ (as 3T2) $[12]$ $4.68213202095$
3.1.22675.1 $x^{3} - x^{2} + 17 x - 18$ $-\,5^{2}\cdot 907$ $S_3$ (as 3T2) $[12]$ $2.89665547303$
3.1.22836.1 $x^{3} + 18 x - 172$ $-\,2^{2}\cdot 3\cdot 11\cdot 173$ $S_3$ (as 3T2) $[11]$ $5.75230045088$
3.1.22868.1 $x^{3} + 26 x - 28$ $-\,2^{2}\cdot 5717$ $S_3$ (as 3T2) $[14]$ $3.37088449532$
3.1.22883.1 $x^{3} + 14 x - 21$ $-\,7^{2}\cdot 467$ $S_3$ (as 3T2) $[12]$ $5.15865889994$
3.1.23567.1 $x^{3} - x^{2} + 26 x - 40$ $-\,23567$ $S_3$ (as 3T2) $[17]$ $4.7786294054$
3.1.23683.4 $x^{3} + 10 x - 27$ $-\,11\cdot 2153$ $S_3$ (as 3T2) $[12]$ $3.07850745119$
3.1.23991.1 $x^{3} - x^{2} + 28 x + 96$ $-\,3\cdot 11\cdot 727$ $S_3$ (as 3T2) $[13]$ $8.56235251737$
3.1.24079.3 $x^{3} - x^{2} + 26 x + 24$ $-\,11^{2}\cdot 199$ $S_3$ (as 3T2) $[12]$ $9.54330713206$
3.1.24596.1 $x^{3} + 17 x - 54$ $-\,2^{2}\cdot 11\cdot 13\cdot 43$ $S_3$ (as 3T2) $[11]$ $7.53422861209$
3.1.25132.2 $x^{3} + 16 x - 18$ $-\,2^{2}\cdot 61\cdot 103$ $S_3$ (as 3T2) $[12]$ $2.95278855479$
3.1.25191.1 $x^{3} + 33 x - 98$ $-\,3^{4}\cdot 311$ $S_3$ (as 3T2) $[18]$ $5.33236865569$
3.1.25467.1 $x^{3} + 30 x - 67$ $-\,3\cdot 13\cdot 653$ $S_3$ (as 3T2) $[13]$ $3.73426445451$
3.1.26707.1 $x^{3} + 10 x - 29$ $-\,17\cdot 1571$ $S_3$ (as 3T2) $[13]$ $3.10330422577$
3.1.26760.2 $x^{3} - x^{2} + 2 x - 158$ $-\,2^{3}\cdot 3\cdot 5\cdot 223$ $S_3$ (as 3T2) $[15]$ $5.24149511542$
3.1.27156.4 $x^{3} - x^{2} + 8 x + 124$ $-\,2^{2}\cdot 3\cdot 31\cdot 73$ $S_3$ (as 3T2) $[12]$ $5.24250216509$
3.1.27192.1 $x^{3} - x^{2} - 19 x - 65$ $-\,2^{3}\cdot 3\cdot 11\cdot 103$ $S_3$ (as 3T2) $[19]$ $4.34092796409$
3.1.27355.1 $x^{3} - 8 x - 33$ $-\,5\cdot 5471$ $S_3$ (as 3T2) $[12]$ $3.69631162676$
3.1.27640.2 $x^{3} - x^{2} + 29 x + 15$ $-\,2^{3}\cdot 5\cdot 691$ $S_3$ (as 3T2) $[15]$ $4.81251521944$
3.1.27992.1 $x^{3} - 13 x - 162$ $-\,2^{3}\cdot 3499$ $S_3$ (as 3T2) $[11]$ $8.34687357416$
3.1.28279.3 $x^{3} - x^{2} + 18 x - 64$ $-\,28279$ $S_3$ (as 3T2) $[12]$ $8.85352045804$
3.1.28520.1 $x^{3} - x^{2} + 25 x - 53$ $-\,2^{3}\cdot 5\cdot 23\cdot 31$ $S_3$ (as 3T2) $[13]$ $3.49191259014$
3.1.29156.1 $x^{3} - x^{2} + 16 x + 124$ $-\,2^{2}\cdot 37\cdot 197$ $S_3$ (as 3T2) $[11]$ $4.72856116398$
3.1.29727.3 $x^{3} - 21 x - 76$ $-\,3^{4}\cdot 367$ $S_3$ (as 3T2) $[15]$ $7.9790086938$
3.1.29739.1 $x^{3} - x^{2} + 19 x - 18$ $-\,3\cdot 23\cdot 431$ $S_3$ (as 3T2) $[13]$ $2.99082185837$
3.1.30459.1 $x^{3} - x^{2} - x + 34$ $-\,3\cdot 11\cdot 13\cdot 71$ $S_3$ (as 3T2) $[14]$ $3.47539086911$
3.1.30772.1 $x^{3} - x^{2} + 5 x - 69$ $-\,2^{2}\cdot 7^{2}\cdot 157$ $S_3$ (as 3T2) $[18]$ $3.81206159375$
3.1.31115.1 $x^{3} - x^{2} + 19 x - 20$ $-\,5\cdot 7^{2}\cdot 127$ $S_3$ (as 3T2) $[12]$ $3.00081769339$
3.1.31219.1 $x^{3} - x^{2} - 35 x + 200$ $-\,31219$ $S_3$ (as 3T2) $[13]$ $4.06044813574$
3.1.31423.1 $x^{3} - x^{2} - 22 x - 72$ $-\,7\cdot 67^{2}$ $S_3$ (as 3T2) $[15]$ $7.93414406477$
3.1.31755.1 $x^{3} - 18 x - 107$ $-\,3\cdot 5\cdot 29\cdot 73$ $S_3$ (as 3T2) $[13]$ $4.49758138794$
3.1.31908.3 $x^{3} - x^{2} + 20 x - 14$ $-\,2^{2}\cdot 3\cdot 2659$ $S_3$ (as 3T2) $[12]$ $7.40674058962$
3.1.32168.1 $x^{3} + 5 x - 138$ $-\,2^{3}\cdot 4021$ $S_3$ (as 3T2) $[19]$ $5.50177433026$
3.1.32251.1 $x^{3} - x^{2} - 19 x + 54$ $-\,32251$ $S_3$ (as 3T2) $[13]$ $4.18596477331$
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