Zipped data files.
unary pqfreduced bqf / Q gamma ()
D=2 R=0.88137358701954302523260932495 h(D)=1
2 + 1*sqrt(2)2x2 + 2y2 2.828427
D=3 R=1.316957896924816708625046347301 h(D)=1
2 + 1*sqrt(3)2x2 + 2xy + 2y2 4.000000
D=6 R=2.292431669561177687800787311375 h(D)=1
8 + 3*sqrt(6)8x2 + 4xy + 8y2 5.059644
D=7 R=2.76865938331357383273200140928 h(D)=1
14 + 5*sqrt(7)14x2 + 14xy + 14y2 6.110101
D=10 R=1.81844645923206682348369896353 h(D)=2
10 + 3*sqrt(10)10x2 + 10y2 6.324555
D=11 R=2.99322284612638089791266771378 h(D)=1
66 + 19*sqrt(11)66x2 + 22xy + 66y2 6.727343
D=14 R=3.400084414113339500700187214185 h(D)=1
112 + 29*sqrt(14)112x2 + 84xy + 112y2 8.072400
D=15 R=2.063437068895560546727281172620 h(D)=2
4 + 1*sqrt(15)4x2 + 2xy + 4y2 8.000000
D=19 R=5.82893696697892655473456685744 h(D)=1
76 + 17*sqrt(19)76x2 + 38xy + 76y2 9.003703
266 + 61*sqrt(19)38x2 + 38xy + 38y2 10.066446
D=22 R=5.97634446743095163790598335230 h(D)=1
110 + 23*sqrt(22)110x2 + 88xy + 110y2 10.235326
1628 + 347*sqrt(22)176x2 + 44xy + 176y2 9.454989
D=23 R=3.87076670028709375559811679855 h(D)=1
230 + 47*sqrt(23)230x2 + 138xy + 230y2 10.054795
D=26 R=2.312438341272752620253562341340 h(D)=2
26 + 5*sqrt(26)26x2 + 26y2 10.198039
D=30 R=3.088969904844603017916479853773 h(D)=2
50 + 9*sqrt(30)50x2 + 40xy + 50y2 11.952286
D=31 R=8.0196126861938786276278406111236 h(D)=1
62 + 11*sqrt(31)62x2 + 62xy + 62y2 12.858201
496 + 89*sqrt(31)124x2 + 62xy + 124y2 11.500725
15562 + 2795*sqrt(31)310x2 + 62xy + 310y2 11.191627
D=34 R=4.248291097914388695301580778424 h(D)=2
136 + 23*sqrt(34)136x2 + 68xy + 136y2 12.044362
D=35 R=2.477888730288475004813950745137 h(D)=2
6 + 1*sqrt(35)6x2 + 2xy + 6y2 12.000000
D=38 R=4.303882428113997112009880108033 h(D)=1
456 + 73*sqrt(38)456x2 + 76xy + 456y2 12.371861
D=39 R=3.91162276521458846692162328472 h(D)=2
234 + 37*sqrt(39)234x2 + 78xy + 234y2 12.667168
D=42 R=3.256613954800052409316227360599 h(D)=2
72 + 11*sqrt(42)72x2 + 60xy + 72y2 14.258125
D=43 R=8.84850928026837272029186048050 h(D)=1
86 + 13*sqrt(43)86x2 + 86xy + 86y2 15.143756
1634 + 249*sqrt(43)430x2 + 258xy + 430y2 13.748127
43430 + 6623*sqrt(43)602x2 + 430xy + 602y2 14.040876
D=46 R=10.79281810240533976708449730908 h(D)=1
322 + 47*sqrt(46)322x2 + 184xy + 322y2 14.154701
5704 + 841*sqrt(46)184x2 + 92xy + 184y2 14.009521
4646 + 685*sqrt(46)230x2 + 184xy + 230y2 14.800257
34868 + 5141*sqrt(46)368x2 + 92xy + 368y2 13.671892
93196 + 13741*sqrt(46)184x2 + 92xy + 184y2 14.009521
D=47 R=4.56423966685849664372996486602 h(D)=1
658 + 95*sqrt(47)658x2 + 282xy + 658y2 14.037383
D=51 R=4.60507017098475715945057255156 h(D)=2
238 + 33*sqrt(51)238x2 + 34xy + 238y2 14.319433
D=55 R=5.181751987126265554312435619915 h(D)=2
770 + 103*sqrt(55)770x2 + 550xy + 770y2 15.879664
230 + 31*sqrt(55)50x2 + 10xy + 50y2 14.907120
D=58 R=5.288292537319899146825629699217 h(D)=2
928 + 121*sqrt(58)928x2 + 812xy + 928y2 16.938650
2552 + 335*sqrt(58)464x2 + 116xy + 464y2 15.351956
754 + 99*sqrt(58)58x2 + 58y2 15.231546
D=59 R=6.96602329710848467049501868594 h(D)=1
472 + 61*sqrt(59)472x2 + 354xy + 472y2 16.571608
7198 + 937*sqrt(59)826x2 + 354xy + 826y2 15.727628
D=62 R=4.83621891284115647089728214080 h(D)=1
992 + 125*sqrt(62)992x2 + 372xy + 992y2 16.032356
D=66 R=4.86747527360534163963598605131 h(D)=2
352 + 43*sqrt(66)352x2 + 44xy + 352y2 16.279905
D=67 R=11.489493057882308262488410214492 h(D)=1
536 + 65*sqrt(67)536x2 + 134xy + 536y2 16.500120
26398 + 3225*sqrt(67)938x2 + 402xy + 938y2 16.760024
105190 + 12851*sqrt(67)670x2 + 134xy + 670y2 16.453178
74102 + 9053*sqrt(67)134x2 + 134xy + 134y2 18.903263
D=70 R=6.218596151477128082317554153621 h(D)=2
160 + 19*sqrt(70)160x2 + 100xy + 160y2 17.615420
728 + 87*sqrt(70)112x2 + 84xy + 112y2 18.050434
410 + 49*sqrt(70)50x2 + 40xy + 50y2 18.257419
D=71 R=8.84793473268505076640107063501 h(D)=1
568 + 67*sqrt(71)568x2 + 426xy + 568y2 18.178909
1846 + 219*sqrt(71)426x2 + 142xy + 426y2 17.091351
53818 + 6387*sqrt(71)1278x2 + 994xy + 1278y2 18.292174
D=74 R=4.454482477060509481640558353744 h(D)=2
666 + 77*sqrt(74)666x2 + 592xy + 666y2 19.205768
370 + 43*sqrt(74)74x2 + 74y2 17.204651
D=78 R=4.66335008258431035340237733860 h(D)=2
702 + 79*sqrt(78)702x2 + 312xy + 702y2 18.116506
D=79 R=5.075134750444809859787695118343 h(D)=3
474 + 53*sqrt(79)474x2 + 158xy + 474y2 18.028549
D=82 R=2.89344398588587137807271830662 h(D)=4
82 + 9*sqrt(82)82x2 + 82y2 18.110770
D=83 R=5.099829245500619335478113833935 h(D)=1
1494 + 163*sqrt(83)1494x2 + 166xy + 1494y2 18.249051
D=86 R=9.94318891707851045769565397336 h(D)=1
774 + 83*sqrt(86)774x2 + 344xy + 774y2 19.022884
12900 + 1391*sqrt(86)1032x2 + 860xy + 1032y2 20.402669
11008 + 1187*sqrt(86)688x2 + 516xy + 688y2 20.007271
167528 + 18065*sqrt(86)1720x2 + 1548xy + 1720y2 20.768918
D=87 R=4.0250326605516181491744524691410 h(D)=2
1566 + 167*sqrt(87)1566x2 + 870xy + 1566y2 19.418985
D=91 R=8.0545225086281274843432626878226 h(D)=2
182 + 19*sqrt(91)182x2 + 182xy + 182y2 22.030282
2548 + 267*sqrt(91)728x2 + 546xy + 728y2 20.580662
D=94 R=15.271002103031182876932522997138 h(D)=1
1880 + 193*sqrt(94)1880x2 + 1316xy + 1880y2 20.700001
14476 + 1493*sqrt(94)1504x2 + 188xy + 1504y2 19.428703
656308 + 67693*sqrt(94)1504x2 + 1316xy + 1504y2 21.563971
83002 + 8561*sqrt(94)658x2 + 376xy + 658y2 20.234184
125584 + 12953*sqrt(94)376x2 + 188xy + 376y2 20.026649
8119156 + 837427*sqrt(94)376x2 + 188xy + 376y2 20.026649
D=95 R=4.356544420601752192181187278122 h(D)=2
950 + 97*sqrt(95)950x2 + 570xy + 950y2 20.434833
D=102 R=5.308243189099001446313874981870 h(D)=2
680 + 67*sqrt(102)680x2 + 68xy + 680y2 20.224306
D=103 R=13.0281757672779921442722231614146 h(D)=1
1030 + 101*sqrt(103)1030x2 + 206xy + 1030y2 20.400040
100322 + 9885*sqrt(103)2266x2 + 1854xy + 2266y2 22.244301
733978 + 72321*sqrt(103)1442x2 + 618xy + 1442y2 20.780493
343814 + 33877*sqrt(103)206x2 + 206xy + 206y2 23.437861
D=106 R=8.98844605564841516104835618288 h(D)=2
424 + 41*sqrt(106)424x2 + 212xy + 424y2 21.266562
17596 + 1709*sqrt(106)1696x2 + 212xy + 1696y2 20.631596
29044 + 2821*sqrt(106)424x2 + 212xy + 424y2 21.266562
111512 + 10831*sqrt(106)848x2 + 212xy + 848y2 20.754040
41234 + 4005*sqrt(106)106x2 + 106y2 20.591260
D=107 R=7.56216136108493955433700721744 h(D)=1
1070 + 103*sqrt(107)1070x2 + 642xy + 1070y2 21.687085
17762 + 1717*sqrt(107)2354x2 + 1926xy + 2354y2 22.672115
D=110 R=3.73710224219892390097680505417 h(D)=2
200 + 19*sqrt(110)200x2 + 180xy + 200y2 23.488809
D=111 R=6.380119664149667076353327010522 h(D)=2
74 + 7*sqrt(111)74x2 + 74xy + 74y2 24.331050
6882 + 653*sqrt(111)1998x2 + 1554xy + 1998y2 22.871658
D=114 R=7.62559483417876988138204905330 h(D)=2
418 + 39*sqrt(114)418x2 + 304xy + 418y2 22.923475
1292 + 121*sqrt(114)152x2 + 76xy + 152y2 22.054478
D=115 R=7.71957379207935679705306508981 h(D)=2
506 + 47*sqrt(115)506x2 + 322xy + 506y2 22.623353
19550 + 1823*sqrt(115)1610x2 + 1150xy + 1610y2 22.961957
1748 + 163*sqrt(115)92x2 + 46xy + 92y2 22.150997
81190 + 7571*sqrt(115)1150x2 + 230xy + 1150y2 21.555660
D=118 R=13.327479812267041253261597259109 h(D)=1
1298 + 119*sqrt(118)1298x2 + 472xy + 1298y2 22.093817
122956 + 11319*sqrt(118)2360x2 + 708xy + 2360y2 21.974177
1115336 + 102675*sqrt(118)1888x2 + 708xy + 1888y2 22.117829
5427056 + 499601*sqrt(118)2360x2 + 1652xy + 2360y2 23.192493
D=119 R=5.480621561778750480637401284656 h(D)=2
2618 + 239*sqrt(119)2618x2 + 714xy + 2618y2 22.023146
D=122 R=3.093102195050827084219943190005 h(D)=2
122 + 11*sqrt(122)122x2 + 122y2 22.090722
D=123 R=5.497151428309934927365135478356 h(D)=2
902 + 81*sqrt(123)902x2 + 82xy + 902y2 22.204023
D=127 R=16.062714856216922136861318618127 h(D)=1
2794 + 247*sqrt(127)2794x2 + 1270xy + 2794y2 23.144521
3302 + 293*sqrt(127)254x2 + 254xy + 254y2 26.025628
150368 + 13343*sqrt(127)1016x2 + 254xy + 1016y2 22.717031
794258 + 70479*sqrt(127)1270x2 + 762xy + 1270y2 23.627140
104687878 + 9289547*sqrt(127)2794x2 + 254xy + 2794y2 22.562175
D=130 R=4.73627538626765664527839913549 h(D)=4
286 + 25*sqrt(130)286x2 + 208xy + 286y2 24.479340
650 + 57*sqrt(130)130x2 + 130y2 22.803509
D=131 R=9.96269940994717518424003973788 h(D)=1
2882 + 251*sqrt(131)2882x2 + 2358xy + 2882y2 25.086253
9170 + 801*sqrt(131)2358x2 + 1310xy + 2358y2 23.828821
230822 + 20167*sqrt(131)2882x2 + 786xy + 2882y2 23.106891
D=134 R=12.58399525062019674980557646203 h(D)=1
3216 + 277*sqrt(134)3216x2 + 2948xy + 3216y2 26.048813
9112 + 787*sqrt(134)2144x2 + 804xy + 2144y2 23.569692
69814 + 6031*sqrt(134)1742x2 + 1608xy + 1742y2 26.097561
3226452 + 278723*sqrt(134)3216x2 + 1876xy + 3216y2 24.204066
D=138 R=4.54318158967122852657494811567 h(D)=2
3312 + 281*sqrt(138)3312x2 + 1932xy + 3312y2 24.562664
D=139 R=18.85975147106356802403292644744 h(D)=1
78674 + 6673*sqrt(139)3614x2 + 3058xy + 3614y2 26.023413
556 + 47*sqrt(139)556x2 + 278xy + 556y2 24.352960
1101158 + 93399*sqrt(139)3058x2 + 834xy + 3058y2 23.801990
6123506 + 519389*sqrt(139)278x2 + 278xy + 278y2 27.227437
204442034 + 17340547*sqrt(139)1946x2 + 278xy + 1946y2 23.640036
1543683682 + 130933541*sqrt(139)3058x2 + 1946xy + 3058y2 24.872271
D=142 R=5.65597958505894981580200300287 h(D)=3
1136 + 95*sqrt(142)1136x2 + 284xy + 1136y2 24.021155
D=143 R=3.176313180591655766889219413417 h(D)=2
12 + 1*sqrt(143)12x2 + 2xy + 12y2 24.000000
D=146 R=5.66986903216201339806802353703 h(D)=2
3504 + 289*sqrt(146)3504x2 + 292xy + 3504y2 24.187097
D=151 R=21.96346335551494071927079940425 h(D)=1
604 + 49*sqrt(151)604x2 + 302xy + 604y2 25.382409
9966 + 811*sqrt(151)906x2 + 302xy + 906y2 24.925030
148282 + 12067*sqrt(151)3322x2 + 2114xy + 3322y2 25.923672
370354982 + 30139061*sqrt(151)302x2 + 302xy + 302y2 28.378396
181692562 + 14785931*sqrt(151)3322x2 + 302xy + 3322y2 24.601840
12736246 + 1036461*sqrt(151)3926x2 + 2718xy + 3926y2 26.195901
37092096926 + 3018512039*sqrt(151)3926x2 + 3322xy + 3926y2 27.123475
D=154 R=10.65937476236596332550807051718 h(D)=2
112 + 9*sqrt(154)112x2 + 84xy + 112y2 26.773121
80080 + 6453*sqrt(154)3080x2 + 924xy + 3080y2 25.103367
11704 + 943*sqrt(154)2464x2 + 308xy + 2464y2 24.867965
1754368 + 141371*sqrt(154)4312x2 + 4004xy + 4312y2 28.022755
D=155 R=6.210596044807235690132212491555 h(D)=2
1860 + 149*sqrt(155)1860x2 + 1550xy + 1860y2 27.390730
5890 + 473*sqrt(155)1550x2 + 930xy + 1550y2 26.102082
D=158 R=9.64769166477680868616630628227 h(D)=1
2054 + 163*sqrt(158)2054x2 + 1896xy + 2054y2 28.338449
5846 + 465*sqrt(158)1422x2 + 632xy + 1422y2 25.784320
178856 + 14229*sqrt(158)3792x2 + 1580xy + 3792y2 25.703602
D=159 R=7.88155977444225180563260303387 h(D)=2
1378 + 109*sqrt(159)1378x2 + 1166xy + 1378y2 27.832705
3392 + 269*sqrt(159)212x2 + 106xy + 212y2 26.046113
3922 + 311*sqrt(159)742x2 + 106xy + 742y2 25.283622
63918 + 5069*sqrt(159)2862x2 + 2226xy + 2862y2 27.373776
D=163 R=18.66879044702706229352862448255 h(D)=1
62266 + 4877*sqrt(163)3586x2 + 326xy + 3586y2 25.560710
4238 + 331*sqrt(163)4238x2 + 2282xy + 4238y2 26.513275
318502 + 24947*sqrt(163)1630x2 + 326xy + 1630y2 25.662928
1316714 + 103133*sqrt(163)326x2 + 326xy + 326y2 29.484459
1521116 + 119143*sqrt(163)1304x2 + 326xy + 1304y2 25.736146
1614058274 + 126422801*sqrt(163)4238x2 + 1630xy + 4238y2 26.019962
D=166 R=21.94757204826829150393307604013 h(D)=1
2158 + 167*sqrt(166)2158x2 + 664xy + 2158y2 26.078669
296476 + 23011*sqrt(166)664x2 + 332xy + 664y2 26.613280
342292 + 26567*sqrt(166)4648x2 + 4316xy + 4648y2 29.094072
568396948 + 44116159*sqrt(166)4648x2 + 3652xy + 4648y2 28.021108
827842 + 64253*sqrt(166)1162x2 + 664xy + 1162y2 26.889073
1595159404 + 123808381*sqrt(166)664x2 + 332xy + 664y2 26.613280
8736746 + 678103*sqrt(166)1826x2 + 664xy + 1826y2 26.204978
11754877988 + 912355473*sqrt(166)1328x2 + 996xy + 1328y2 27.796664
D=167 R=5.81710230213576281762682454329 h(D)=1
4342 + 335*sqrt(167)4342x2 + 1002xy + 4342y2 26.019483
D=170 R=3.259572556262921561296584731294 h(D)=4
170 + 13*sqrt(170)170x2 + 170y2 26.076810
D=174 R=7.97315531470188665359254963363 h(D)=2
754 + 57*sqrt(174)754x2 + 232xy + 754y2 26.699677
110316 + 8363*sqrt(174)4176x2 + 348xy + 4176y2 26.404743
D=178 R=8.071530796022351693010529459503 h(D)=2
2314 + 173*sqrt(178)2314x2 + 1424xy + 2314y2 28.043850
38092 + 2855*sqrt(178)4984x2 + 3916xy + 4984y2 29.016249
D=179 R=15.94140859053406203830813690463 h(D)=1
4654 + 347*sqrt(179)4654x2 + 3222xy + 4654y2 28.521435
11814 + 883*sqrt(179)1074x2 + 358xy + 1074y2 27.137744
14678 + 1097*sqrt(179)2506x2 + 1074xy + 2506y2 27.394523
186518 + 13941*sqrt(179)3222x2 + 2506xy + 3222y2 29.044417
1860884 + 139089*sqrt(179)2148x2 + 358xy + 2148y2 26.851573
76970 + 5753*sqrt(179)1790x2 + 1074xy + 1790y2 28.050190
108094162 + 8079337*sqrt(179)4654x2 + 1074xy + 4654y2 26.938099
D=182 R=3.98864093449443167219818869201 h(D)=2
338 + 25*sqrt(182)338x2 + 312xy + 338y2 30.414678
D=183 R=6.88141024954020600707704713377 h(D)=2
122 + 9*sqrt(183)122x2 + 122xy + 122y2 31.240999
7320 + 541*sqrt(183)2196x2 + 1830xy + 2196y2 29.762082
D=186 R=9.61593880008632208107929875042 h(D)=2
1736 + 127*sqrt(186)1736x2 + 1364xy + 1736y2 29.661133
12834 + 941*sqrt(186)1674x2 + 1488xy + 1674y2 30.448948
14880 + 1091*sqrt(186)2232x2 + 1860xy + 2232y2 30.005042
568044 + 41651*sqrt(186)4464x2 + 372xy + 4464y2 27.300072
D=187 R=8.120885932726251299345221131097 h(D)=2
2618 + 191*sqrt(187)2618x2 + 1870xy + 2618y2 29.280654
3706 + 271*sqrt(187)442x2 + 238xy + 442y2 28.398171
D=190 R=11.55254994266106489770172372677 h(D)=2
152 + 11*sqrt(190)152x2 + 76xy + 152y2 28.472209
78280 + 5679*sqrt(190)3800x2 + 3420xy + 3800y2 30.870343
23750 + 1723*sqrt(190)950x2 + 760xy + 950y2 30.079260
19532 + 1417*sqrt(190)152x2 + 76xy + 152y2 28.472209
602680 + 43723*sqrt(190)3040x2 + 1900xy + 3040y2 29.021562
323360 + 23459*sqrt(190)200x2 + 20xy + 200y2 27.602622
D=191 R=16.70521542687273197572078046641 h(D)=1
126442 + 9149*sqrt(191)4202x2 + 3438xy + 4202y2 30.291225
2674 + 193*sqrt(191)2674x2 + 1146xy + 2674y2 28.297881
7391318 + 534817*sqrt(191)4202x2 + 1146xy + 4202y2 27.901179
58446 + 4229*sqrt(191)1146x2 + 382xy + 1146y2 28.032634
224234 + 16225*sqrt(191)1910x2 + 1146xy + 1910y2 28.975169
33787518 + 2444779*sqrt(191)3438x2 + 382xy + 3438y2 27.683304
206781566 + 14962189*sqrt(191)4966x2 + 3438xy + 4966y2 29.461954
D=194 R=5.96614016443689344593841533139 h(D)=2
5432 + 389*sqrt(194)5432x2 + 1164xy + 5432y2 28.018059
D=195 R=3.330926552641251950919173755877 h(D)=4
14 + 1*sqrt(195)14x2 + 2xy + 14y2 28.000000
D=199 R=24.205502138820647757043524370278 h(D)=1
2786 + 197*sqrt(199)2786x2 + 398xy + 2786y2 28.285722
449342 + 31853*sqrt(199)5174x2 + 2786xy + 5174y2 29.295176
1571702 + 111415*sqrt(199)2786x2 + 1990xy + 2786y2 30.205534
13589710 + 963349*sqrt(199)1990x2 + 398xy + 1990y2 28.355606
1187632 + 84189*sqrt(199)1592x2 + 1194xy + 1592y2 30.434430
24384664 + 1728583*sqrt(199)796x2 + 398xy + 796y2 29.138749
5050455626 + 358017307*sqrt(199)5174x2 + 398xy + 5174y2 28.234363
86318259502 + 6118939181*sqrt(199)4378x2 + 2786xy + 4378y2 29.760114
24491951666 + 1736188421*sqrt(199)398x2 + 398xy + 398y2 32.578111

Fri Sep 6 08:45:33 EET 2002
Alar Leibak