Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,5,Mod(3,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.3");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.h (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.44490841261\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 26.3 | ||
Character | \(\chi\) | \(=\) | 43.26 |
Dual form | 43.5.h.a.5.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{17}{42}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −6.02577 | + | 1.37534i | −1.50644 | + | 0.343836i | −0.894501 | − | 0.447067i | \(-0.852469\pi\) |
−0.611942 | + | 0.790902i | \(0.709612\pi\) | |||||||
\(3\) | 4.35150 | + | 14.1072i | 0.483499 | + | 1.56747i | 0.788450 | + | 0.615099i | \(0.210884\pi\) |
−0.304951 | + | 0.952368i | \(0.598640\pi\) | |||||||
\(4\) | 20.0029 | − | 9.63287i | 1.25018 | − | 0.602054i | ||||
\(5\) | 39.0145 | + | 15.3121i | 1.56058 | + | 0.612483i | 0.979515 | − | 0.201372i | \(-0.0645402\pi\) |
0.581067 | + | 0.813856i | \(0.302635\pi\) | |||||||
\(6\) | −45.6234 | − | 79.0220i | −1.26732 | − | 2.19506i | ||||
\(7\) | 34.4295 | + | 19.8779i | 0.702642 | + | 0.405671i | 0.808331 | − | 0.588728i | \(-0.200371\pi\) |
−0.105688 | + | 0.994399i | \(0.533705\pi\) | |||||||
\(8\) | −29.9675 | + | 23.8983i | −0.468242 | + | 0.373411i | ||||
\(9\) | −113.152 | + | 77.1459i | −1.39694 | + | 0.952419i | ||||
\(10\) | −256.152 | − | 38.6087i | −2.56152 | − | 0.386087i | ||||
\(11\) | 81.4184 | + | 39.2090i | 0.672879 | + | 0.324042i | 0.738937 | − | 0.673774i | \(-0.235328\pi\) |
−0.0660581 | + | 0.997816i | \(0.521042\pi\) | |||||||
\(12\) | 222.935 | + | 240.267i | 1.54816 | + | 1.66852i | ||||
\(13\) | −57.9087 | + | 8.72833i | −0.342655 | + | 0.0516469i | −0.318116 | − | 0.948052i | \(-0.603050\pi\) |
−0.0245394 | + | 0.999699i | \(0.507812\pi\) | |||||||
\(14\) | −234.803 | − | 72.4272i | −1.19798 | − | 0.369526i | ||||
\(15\) | −46.2390 | + | 617.016i | −0.205507 | + | 2.74230i | ||||
\(16\) | −73.7696 | + | 92.5042i | −0.288163 | + | 0.361344i | ||||
\(17\) | −195.427 | − | 497.941i | −0.676219 | − | 1.72298i | −0.690760 | − | 0.723084i | \(-0.742724\pi\) |
0.0145408 | − | 0.999894i | \(-0.495371\pi\) | |||||||
\(18\) | 575.728 | − | 620.487i | 1.77694 | − | 1.91508i | ||||
\(19\) | 141.992 | − | 208.265i | 0.393331 | − | 0.576910i | −0.577585 | − | 0.816330i | \(-0.696005\pi\) |
0.970916 | + | 0.239420i | \(0.0769573\pi\) | |||||||
\(20\) | 927.902 | − | 69.5366i | 2.31975 | − | 0.173842i | ||||
\(21\) | −130.601 | + | 572.202i | −0.296148 | + | 1.29751i | ||||
\(22\) | −544.534 | − | 124.286i | −1.12507 | − | 0.256790i | ||||
\(23\) | −43.4576 | − | 579.902i | −0.0821506 | − | 1.09622i | −0.874135 | − | 0.485682i | \(-0.838571\pi\) |
0.791985 | − | 0.610541i | \(-0.209048\pi\) | |||||||
\(24\) | −467.541 | − | 318.764i | −0.811703 | − | 0.553410i | ||||
\(25\) | 829.517 | + | 769.680i | 1.32723 | + | 1.23149i | ||||
\(26\) | 336.940 | − | 132.239i | 0.498432 | − | 0.195620i | ||||
\(27\) | −645.773 | − | 514.987i | −0.885834 | − | 0.706429i | ||||
\(28\) | 880.169 | + | 65.9596i | 1.12266 | + | 0.0841321i | ||||
\(29\) | 129.368 | − | 419.401i | 0.153827 | − | 0.498693i | −0.845554 | − | 0.533890i | \(-0.820730\pi\) |
0.999380 | + | 0.0351967i | \(0.0112058\pi\) | |||||||
\(30\) | −569.984 | − | 3781.60i | −0.633315 | − | 4.20177i | ||||
\(31\) | −1133.81 | + | 1052.02i | −1.17982 | + | 1.09471i | −0.186131 | + | 0.982525i | \(0.559595\pi\) |
−0.993687 | + | 0.112186i | \(0.964215\pi\) | |||||||
\(32\) | 583.385 | − | 1211.41i | 0.569712 | − | 1.18302i | ||||
\(33\) | −198.838 | + | 1319.20i | −0.182588 | + | 1.21139i | ||||
\(34\) | 1862.44 | + | 2731.70i | 1.61111 | + | 2.36306i | ||||
\(35\) | 1038.88 | + | 1302.71i | 0.848064 | + | 1.06344i | ||||
\(36\) | −1520.23 | + | 2633.12i | −1.17302 | + | 2.03173i | ||||
\(37\) | −115.344 | + | 66.5939i | −0.0842543 | + | 0.0486442i | −0.541535 | − | 0.840678i | \(-0.682157\pi\) |
0.457281 | + | 0.889322i | \(0.348823\pi\) | |||||||
\(38\) | −569.178 | + | 1450.24i | −0.394168 | + | 1.00432i | ||||
\(39\) | −375.122 | − | 778.948i | −0.246628 | − | 0.512129i | ||||
\(40\) | −1535.10 | + | 473.516i | −0.959438 | + | 0.295947i | ||||
\(41\) | 266.996 | + | 1169.78i | 0.158831 | + | 0.695886i | 0.990141 | + | 0.140076i | \(0.0447347\pi\) |
−0.831309 | + | 0.555810i | \(0.812408\pi\) | |||||||
\(42\) | − | 3627.58i | − | 2.05645i | ||||||
\(43\) | −790.071 | − | 1671.70i | −0.427296 | − | 0.904112i | ||||
\(44\) | 2006.30 | 1.03631 | ||||||||
\(45\) | −5595.85 | + | 1277.22i | −2.76338 | + | 0.630724i | ||||
\(46\) | 1059.43 | + | 3434.59i | 0.500676 | + | 1.62315i | ||||
\(47\) | 3040.94 | − | 1464.44i | 1.37662 | − | 0.662943i | 0.408341 | − | 0.912830i | \(-0.366108\pi\) |
0.968275 | + | 0.249886i | \(0.0803932\pi\) | |||||||
\(48\) | −1625.98 | − | 638.151i | −0.705722 | − | 0.276975i | ||||
\(49\) | −410.241 | − | 710.558i | −0.170862 | − | 0.295942i | ||||
\(50\) | −6057.06 | − | 3497.04i | −2.42282 | − | 1.39882i | ||||
\(51\) | 6174.15 | − | 4923.72i | 2.37376 | − | 1.89301i | ||||
\(52\) | −1074.26 | + | 732.419i | −0.397286 | + | 0.270865i | ||||
\(53\) | −3330.68 | − | 502.020i | −1.18572 | − | 0.178718i | −0.473576 | − | 0.880753i | \(-0.657037\pi\) |
−0.712142 | + | 0.702035i | \(0.752275\pi\) | |||||||
\(54\) | 4599.56 | + | 2215.03i | 1.57735 | + | 0.759613i | ||||
\(55\) | 2576.13 | + | 2776.41i | 0.851613 | + | 0.917820i | ||||
\(56\) | −1506.81 | + | 227.115i | −0.480489 | + | 0.0724220i | ||||
\(57\) | 3555.91 | + | 1096.85i | 1.09446 | + | 0.337597i | ||||
\(58\) | −202.722 | + | 2705.14i | −0.0602623 | + | 0.804144i | ||||
\(59\) | 1254.11 | − | 1572.60i | 0.360271 | − | 0.451766i | −0.568354 | − | 0.822784i | \(-0.692420\pi\) |
0.928626 | + | 0.371018i | \(0.120991\pi\) | |||||||
\(60\) | 5018.73 | + | 12787.5i | 1.39409 | + | 3.55209i | ||||
\(61\) | −275.354 | + | 296.761i | −0.0740000 | + | 0.0797530i | −0.768966 | − | 0.639289i | \(-0.779229\pi\) |
0.694966 | + | 0.719042i | \(0.255419\pi\) | |||||||
\(62\) | 5385.17 | − | 7898.59i | 1.40093 | − | 2.05478i | ||||
\(63\) | −5429.27 | + | 406.868i | −1.36792 | + | 0.102511i | ||||
\(64\) | −1427.99 | + | 6256.43i | −0.348630 | + | 1.52745i | ||||
\(65\) | −2392.93 | − | 546.171i | −0.566374 | − | 0.129271i | ||||
\(66\) | −616.205 | − | 8222.69i | −0.141461 | − | 1.88767i | ||||
\(67\) | 685.800 | + | 467.570i | 0.152773 | + | 0.104159i | 0.637294 | − | 0.770621i | \(-0.280054\pi\) |
−0.484521 | + | 0.874780i | \(0.661006\pi\) | |||||||
\(68\) | −8705.71 | − | 8077.71i | −1.88272 | − | 1.74691i | ||||
\(69\) | 7991.69 | − | 3136.51i | 1.67857 | − | 0.658791i | ||||
\(70\) | −8051.73 | − | 6421.04i | −1.64321 | − | 1.31042i | ||||
\(71\) | 473.632 | + | 35.4938i | 0.0939560 | + | 0.00704103i | 0.121625 | − | 0.992576i | \(-0.461189\pi\) |
−0.0276691 | + | 0.999617i | \(0.508808\pi\) | |||||||
\(72\) | 1547.24 | − | 5016.01i | 0.298464 | − | 0.967595i | ||||
\(73\) | 979.740 | + | 6500.15i | 0.183851 | + | 1.21977i | 0.870274 | + | 0.492568i | \(0.163942\pi\) |
−0.686423 | + | 0.727202i | \(0.740820\pi\) | |||||||
\(74\) | 603.448 | − | 559.918i | 0.110199 | − | 0.102249i | ||||
\(75\) | −7248.39 | + | 15051.4i | −1.28860 | + | 2.67581i | ||||
\(76\) | 834.068 | − | 5533.68i | 0.144402 | − | 0.958047i | ||||
\(77\) | 2023.80 | + | 2968.37i | 0.341339 | + | 0.500653i | ||||
\(78\) | 3331.72 | + | 4177.84i | 0.547620 | + | 0.686694i | ||||
\(79\) | 2417.47 | − | 4187.18i | 0.387353 | − | 0.670915i | −0.604739 | − | 0.796423i | \(-0.706723\pi\) |
0.992093 | + | 0.125508i | \(0.0400561\pi\) | |||||||
\(80\) | −4294.52 | + | 2479.44i | −0.671019 | + | 0.387413i | ||||
\(81\) | 402.273 | − | 1024.98i | 0.0613128 | − | 0.156222i | ||||
\(82\) | −3217.71 | − | 6681.65i | −0.478541 | − | 0.993701i | ||||
\(83\) | −1519.13 | + | 468.591i | −0.220516 | + | 0.0680201i | −0.403044 | − | 0.915180i | \(-0.632048\pi\) |
0.182529 | + | 0.983201i | \(0.441572\pi\) | |||||||
\(84\) | 2899.55 | + | 12703.7i | 0.410934 | + | 1.80042i | ||||
\(85\) | − | 22419.3i | − | 3.10302i | ||||||
\(86\) | 7059.95 | + | 8986.68i | 0.954564 | + | 1.21507i | ||||
\(87\) | 6479.52 | 0.856061 | ||||||||
\(88\) | −3376.93 | + | 770.763i | −0.436071 | + | 0.0995303i | ||||
\(89\) | 2331.76 | + | 7559.39i | 0.294377 | + | 0.954348i | 0.975092 | + | 0.221799i | \(0.0711930\pi\) |
−0.680715 | + | 0.732548i | \(0.738331\pi\) | |||||||
\(90\) | 31962.7 | − | 15392.4i | 3.94601 | − | 1.90030i | ||||
\(91\) | −2167.27 | − | 850.590i | −0.261716 | − | 0.102716i | ||||
\(92\) | −6455.40 | − | 11181.1i | −0.762689 | − | 1.32102i | ||||
\(93\) | −19774.8 | − | 11417.0i | −2.28637 | − | 1.32003i | ||||
\(94\) | −16309.9 | + | 13006.7i | −1.84585 | + | 1.47202i | ||||
\(95\) | 8728.73 | − | 5951.15i | 0.967172 | − | 0.659407i | ||||
\(96\) | 19628.2 | + | 2958.48i | 2.12980 | + | 0.321016i | ||||
\(97\) | −3960.07 | − | 1907.07i | −0.420881 | − | 0.202685i | 0.211442 | − | 0.977391i | \(-0.432184\pi\) |
−0.632323 | + | 0.774705i | \(0.717898\pi\) | |||||||
\(98\) | 3449.28 | + | 3717.44i | 0.359150 | + | 0.387072i | ||||
\(99\) | −12237.5 | + | 1844.50i | −1.24860 | + | 0.188196i | ||||
\(100\) | 24007.0 | + | 7405.16i | 2.40070 | + | 0.740516i | ||||
\(101\) | 147.801 | − | 1972.26i | 0.0144888 | − | 0.193340i | −0.985263 | − | 0.171048i | \(-0.945285\pi\) |
0.999752 | − | 0.0222920i | \(-0.00709635\pi\) | |||||||
\(102\) | −30432.2 | + | 38160.8i | −2.92505 | + | 3.66790i | ||||
\(103\) | −1973.44 | − | 5028.25i | −0.186016 | − | 0.473961i | 0.807195 | − | 0.590284i | \(-0.200984\pi\) |
−0.993211 | + | 0.116323i | \(0.962889\pi\) | |||||||
\(104\) | 1526.79 | − | 1645.48i | 0.141160 | − | 0.152134i | ||||
\(105\) | −13857.0 | + | 20324.4i | −1.25687 | + | 1.84349i | ||||
\(106\) | 20760.4 | − | 1555.78i | 1.84767 | − | 0.138463i | ||||
\(107\) | −356.390 | + | 1561.45i | −0.0311285 | + | 0.136383i | −0.988104 | − | 0.153785i | \(-0.950854\pi\) |
0.956976 | + | 0.290167i | \(0.0937109\pi\) | |||||||
\(108\) | −17878.1 | − | 4080.56i | −1.53276 | − | 0.349842i | ||||
\(109\) | 1350.64 | + | 18023.0i | 0.113680 | + | 1.51696i | 0.704238 | + | 0.709964i | \(0.251289\pi\) |
−0.590558 | + | 0.806995i | \(0.701092\pi\) | |||||||
\(110\) | −19341.7 | − | 13186.9i | −1.59849 | − | 1.08983i | ||||
\(111\) | −1441.37 | − | 1337.40i | −0.116985 | − | 0.108546i | ||||
\(112\) | −4378.64 | + | 1718.49i | −0.349062 | + | 0.136997i | ||||
\(113\) | 18453.7 | + | 14716.3i | 1.44520 | + | 1.15250i | 0.960658 | + | 0.277734i | \(0.0895835\pi\) |
0.484538 | + | 0.874770i | \(0.338988\pi\) | |||||||
\(114\) | −22935.6 | − | 1718.79i | −1.76482 | − | 0.132255i | ||||
\(115\) | 7184.03 | − | 23290.0i | 0.543216 | − | 1.76106i | ||||
\(116\) | −1452.30 | − | 9635.41i | −0.107930 | − | 0.716068i | ||||
\(117\) | 5879.15 | − | 5455.05i | 0.429480 | − | 0.398499i | ||||
\(118\) | −5394.09 | + | 11200.9i | −0.387395 | + | 0.804434i | ||||
\(119\) | 3169.54 | − | 21028.5i | 0.223822 | − | 1.48496i | ||||
\(120\) | −13360.0 | − | 19595.5i | −0.927775 | − | 1.36080i | ||||
\(121\) | −4036.91 | − | 5062.12i | −0.275726 | − | 0.345750i | ||||
\(122\) | 1251.07 | − | 2166.92i | 0.0840549 | − | 0.145587i | ||||
\(123\) | −15340.6 | + | 8856.87i | −1.01398 | + | 0.585424i | ||||
\(124\) | −12545.4 | + | 31965.2i | −0.815908 | + | 2.07890i | ||||
\(125\) | 9212.33 | + | 19129.6i | 0.589589 | + | 1.22429i | ||||
\(126\) | 32156.0 | − | 9918.80i | 2.02545 | − | 0.624767i | ||||
\(127\) | −233.899 | − | 1024.78i | −0.0145018 | − | 0.0635365i | 0.967159 | − | 0.254171i | \(-0.0818026\pi\) |
−0.981661 | + | 0.190635i | \(0.938945\pi\) | |||||||
\(128\) | − | 18150.8i | − | 1.10784i | ||||||
\(129\) | 20145.1 | − | 18420.1i | 1.21057 | − | 1.10691i | ||||
\(130\) | 15170.4 | 0.897658 | ||||||||
\(131\) | −1923.53 | + | 439.034i | −0.112088 | + | 0.0255832i | −0.278197 | − | 0.960524i | \(-0.589737\pi\) |
0.166109 | + | 0.986107i | \(0.446880\pi\) | |||||||
\(132\) | 8730.39 | + | 28303.2i | 0.501055 | + | 1.62438i | ||||
\(133\) | 9028.58 | − | 4347.93i | 0.510406 | − | 0.245799i | ||||
\(134\) | −4775.54 | − | 1874.26i | −0.265958 | − | 0.104381i | ||||
\(135\) | −17309.0 | − | 29980.1i | −0.949740 | − | 1.64500i | ||||
\(136\) | 17756.4 | + | 10251.7i | 0.960013 | + | 0.554264i | ||||
\(137\) | 9539.49 | − | 7607.49i | 0.508258 | − | 0.405322i | −0.335505 | − | 0.942038i | \(-0.608907\pi\) |
0.843763 | + | 0.536716i | \(0.180336\pi\) | |||||||
\(138\) | −43842.3 | + | 29891.2i | −2.30216 | + | 1.56959i | ||||
\(139\) | −947.952 | − | 142.881i | −0.0490633 | − | 0.00739511i | 0.124465 | − | 0.992224i | \(-0.460279\pi\) |
−0.173528 | + | 0.984829i | \(0.555517\pi\) | |||||||
\(140\) | 33329.4 | + | 16050.6i | 1.70048 | + | 0.818908i | ||||
\(141\) | 33891.8 | + | 36526.7i | 1.70473 | + | 1.83727i | ||||
\(142\) | −2902.82 | + | 437.529i | −0.143960 | + | 0.0216985i | ||||
\(143\) | −5057.06 | − | 1559.90i | −0.247301 | − | 0.0762823i | ||||
\(144\) | 1210.88 | − | 16158.1i | 0.0583951 | − | 0.779229i | ||||
\(145\) | 11469.1 | − | 14381.9i | 0.545500 | − | 0.684036i | ||||
\(146\) | −14843.6 | − | 37821.0i | −0.696361 | − | 1.77430i | ||||
\(147\) | 8238.82 | − | 8879.33i | 0.381268 | − | 0.410909i | ||||
\(148\) | −1665.72 | + | 2443.16i | −0.0760464 | + | 0.111540i | ||||
\(149\) | −22412.0 | + | 1679.55i | −1.00951 | + | 0.0756520i | −0.569203 | − | 0.822197i | \(-0.692748\pi\) |
−0.440303 | + | 0.897849i | \(0.645129\pi\) | |||||||
\(150\) | 22976.2 | − | 100665.i | 1.02117 | − | 4.47402i | ||||
\(151\) | 14953.3 | + | 3412.98i | 0.655816 | + | 0.149686i | 0.537465 | − | 0.843286i | \(-0.319382\pi\) |
0.118351 | + | 0.992972i | \(0.462239\pi\) | |||||||
\(152\) | 722.009 | + | 9634.54i | 0.0312504 | + | 0.417007i | ||||
\(153\) | 60527.1 | + | 41266.7i | 2.58564 | + | 1.76286i | ||||
\(154\) | −16277.5 | − | 15103.3i | −0.686351 | − | 0.636840i | ||||
\(155\) | −60343.5 | + | 23683.1i | −2.51170 | + | 0.985768i | ||||
\(156\) | −15007.0 | − | 11967.7i | −0.616659 | − | 0.491769i | ||||
\(157\) | −10466.0 | − | 784.316i | −0.424600 | − | 0.0318194i | −0.139283 | − | 0.990253i | \(-0.544480\pi\) |
−0.285317 | + | 0.958433i | \(0.592099\pi\) | |||||||
\(158\) | −8808.32 | + | 28555.9i | −0.352841 | + | 1.14388i | ||||
\(159\) | −7411.36 | − | 49171.1i | −0.293159 | − | 1.94498i | ||||
\(160\) | 41309.7 | − | 38329.8i | 1.61366 | − | 1.49726i | ||||
\(161\) | 10031.0 | − | 20829.6i | 0.386983 | − | 0.803579i | ||||
\(162\) | −1014.31 | + | 6729.53i | −0.0386494 | + | 0.256422i | ||||
\(163\) | −16417.0 | − | 24079.3i | −0.617901 | − | 0.906294i | 0.381939 | − | 0.924187i | \(-0.375256\pi\) |
−0.999840 | + | 0.0178935i | \(0.994304\pi\) | |||||||
\(164\) | 16609.1 | + | 20827.1i | 0.617529 | + | 0.774357i | ||||
\(165\) | −27957.3 | + | 48423.5i | −1.02690 | + | 1.77864i | ||||
\(166\) | 8509.48 | − | 4912.95i | 0.308807 | − | 0.178290i | ||||
\(167\) | 8048.50 | − | 20507.2i | 0.288591 | − | 0.735317i | −0.710897 | − | 0.703296i | \(-0.751711\pi\) |
0.999487 | − | 0.0320202i | \(-0.0101941\pi\) | |||||||
\(168\) | −9760.85 | − | 20268.6i | −0.345835 | − | 0.718134i | ||||
\(169\) | −24014.9 | + | 7407.61i | −0.840828 | + | 0.259361i | ||||
\(170\) | 30834.3 | + | 135094.i | 1.06693 | + | 4.67453i | ||||
\(171\) | 34519.7i | 1.18053i | ||||||||
\(172\) | −31907.0 | − | 25828.2i | −1.07852 | − | 0.873046i | ||||
\(173\) | −10400.1 | −0.347491 | −0.173745 | − | 0.984791i | \(-0.555587\pi\) | ||||
−0.173745 | + | 0.984791i | \(0.555587\pi\) | |||||||
\(174\) | −39044.1 | + | 8911.57i | −1.28961 | + | 0.294344i | ||||
\(175\) | 13260.3 | + | 42988.7i | 0.432988 | + | 1.40371i | ||||
\(176\) | −9633.20 | + | 4639.11i | −0.310989 | + | 0.149765i | ||||
\(177\) | 27642.2 | + | 10848.8i | 0.882319 | + | 0.346285i | ||||
\(178\) | −24447.4 | − | 42344.2i | −0.771601 | − | 1.33645i | ||||
\(179\) | −20179.5 | − | 11650.6i | −0.629802 | − | 0.363616i | 0.150873 | − | 0.988553i | \(-0.451791\pi\) |
−0.780675 | + | 0.624937i | \(0.785125\pi\) | |||||||
\(180\) | −99629.7 | + | 79452.1i | −3.07499 | + | 2.45222i | ||||
\(181\) | −14609.6 | + | 9960.64i | −0.445944 | + | 0.304040i | −0.765392 | − | 0.643564i | \(-0.777455\pi\) |
0.319448 | + | 0.947604i | \(0.396503\pi\) | |||||||
\(182\) | 14229.3 | + | 2144.72i | 0.429577 | + | 0.0647483i | ||||
\(183\) | −5384.67 | − | 2593.12i | −0.160789 | − | 0.0774320i | ||||
\(184\) | 15161.0 | + | 16339.6i | 0.447808 | + | 0.482622i | ||||
\(185\) | −5519.79 | + | 831.974i | −0.161279 | + | 0.0243090i | ||||
\(186\) | 134861. | + | 41599.0i | 3.89815 | + | 1.20242i | ||||
\(187\) | 3612.39 | − | 48204.0i | 0.103303 | − | 1.37848i | ||||
\(188\) | 46720.8 | − | 58586.1i | 1.32189 | − | 1.65760i | ||||
\(189\) | −11996.8 | − | 30567.3i | −0.335847 | − | 0.855724i | ||||
\(190\) | −44412.5 | + | 47865.3i | −1.23026 | + | 1.32591i | ||||
\(191\) | −18735.2 | + | 27479.5i | −0.513561 | + | 0.753256i | −0.992187 | − | 0.124763i | \(-0.960183\pi\) |
0.478625 | + | 0.878019i | \(0.341135\pi\) | |||||||
\(192\) | −94474.7 | + | 7079.90i | −2.56279 | + | 0.192055i | ||||
\(193\) | 145.755 | − | 638.593i | 0.00391298 | − | 0.0171439i | −0.972934 | − | 0.231084i | \(-0.925773\pi\) |
0.976847 | + | 0.213940i | \(0.0686298\pi\) | |||||||
\(194\) | 26485.3 | + | 6045.10i | 0.703723 | + | 0.160620i | ||||
\(195\) | −2707.88 | − | 36134.2i | −0.0712133 | − | 0.950275i | ||||
\(196\) | −15050.7 | − | 10261.4i | −0.391782 | − | 0.267112i | ||||
\(197\) | 598.055 | + | 554.914i | 0.0154102 | + | 0.0142986i | 0.687840 | − | 0.725862i | \(-0.258559\pi\) |
−0.672430 | + | 0.740161i | \(0.734749\pi\) | |||||||
\(198\) | 71203.5 | − | 27945.3i | 1.81623 | − | 0.712818i | ||||
\(199\) | 45621.3 | + | 36381.8i | 1.15202 | + | 0.918709i | 0.997596 | − | 0.0692954i | \(-0.0220751\pi\) |
0.154428 | + | 0.988004i | \(0.450647\pi\) | |||||||
\(200\) | −43252.6 | − | 3241.33i | −1.08131 | − | 0.0810333i | ||||
\(201\) | −3611.85 | + | 11709.3i | −0.0894001 | + | 0.289828i | ||||
\(202\) | 1821.93 | + | 12087.7i | 0.0446507 | + | 0.296238i | ||||
\(203\) | 12790.9 | − | 11868.2i | 0.310390 | − | 0.288000i | ||||
\(204\) | 76071.1 | − | 157963.i | 1.82793 | − | 3.79573i | ||||
\(205\) | −7495.12 | + | 49726.9i | −0.178349 | + | 1.18327i | ||||
\(206\) | 18807.1 | + | 27584.9i | 0.443187 | + | 0.650036i | ||||
\(207\) | 49654.4 | + | 62264.6i | 1.15882 | + | 1.45312i | ||||
\(208\) | 3464.50 | − | 6000.68i | 0.0800780 | − | 0.138699i | ||||
\(209\) | 19726.6 | − | 11389.2i | 0.451607 | − | 0.260735i | ||||
\(210\) | 55545.8 | − | 141528.i | 1.25954 | − | 3.20926i | ||||
\(211\) | 7734.31 | + | 16060.5i | 0.173723 | + | 0.360739i | 0.969591 | − | 0.244731i | \(-0.0786996\pi\) |
−0.795868 | + | 0.605470i | \(0.792985\pi\) | |||||||
\(212\) | −71459.1 | + | 22042.2i | −1.58996 | + | 0.490437i | ||||
\(213\) | 1560.29 | + | 6836.08i | 0.0343911 | + | 0.150677i | ||||
\(214\) | − | 9899.07i | − | 0.216156i | ||||||
\(215\) | −5227.02 | − | 77318.3i | −0.113078 | − | 1.67265i | ||||
\(216\) | 31659.5 | 0.678573 | ||||||||
\(217\) | −59948.2 | + | 13682.8i | −1.27308 | + | 0.290573i | ||||
\(218\) | −32926.4 | − | 106745.i | −0.692838 | − | 2.24613i | ||||
\(219\) | −87435.6 | + | 42106.8i | −1.82306 | + | 0.877938i | ||||
\(220\) | 78274.7 | + | 30720.6i | 1.61725 | + | 0.634722i | ||||
\(221\) | 15663.1 | + | 27129.3i | 0.320696 | + | 0.555463i | ||||
\(222\) | 10524.8 | + | 6076.48i | 0.213553 | + | 0.123295i | ||||
\(223\) | −39637.3 | + | 31609.7i | −0.797066 | + | 0.635639i | −0.934938 | − | 0.354811i | \(-0.884545\pi\) |
0.137872 | + | 0.990450i | \(0.455974\pi\) | |||||||
\(224\) | 44165.9 | − | 30111.8i | 0.880220 | − | 0.600124i | ||||
\(225\) | −153239. | − | 23097.1i | −3.02695 | − | 0.456240i | ||||
\(226\) | −131438. | − | 63297.1i | −2.57338 | − | 1.23927i | ||||
\(227\) | 15043.7 | + | 16213.3i | 0.291947 | + | 0.314644i | 0.861945 | − | 0.507002i | \(-0.169246\pi\) |
−0.569998 | + | 0.821646i | \(0.693056\pi\) | |||||||
\(228\) | 81694.2 | − | 12313.4i | 1.57153 | − | 0.236869i | ||||
\(229\) | 2154.58 | + | 664.601i | 0.0410858 | + | 0.0126733i | 0.315230 | − | 0.949015i | \(-0.397918\pi\) |
−0.274144 | + | 0.961689i | \(0.588395\pi\) | |||||||
\(230\) | −11257.5 | + | 150221.i | −0.212807 | + | 2.83972i | ||||
\(231\) | −33068.8 | + | 41467.0i | −0.619719 | + | 0.777103i | ||||
\(232\) | 6146.13 | + | 15660.1i | 0.114189 | + | 0.290950i | ||||
\(233\) | 9795.17 | − | 10556.7i | 0.180426 | − | 0.194453i | −0.636362 | − | 0.771390i | \(-0.719562\pi\) |
0.816789 | + | 0.576937i | \(0.195752\pi\) | |||||||
\(234\) | −27923.8 | + | 40956.7i | −0.509968 | + | 0.747986i | ||||
\(235\) | 141065. | − | 10571.3i | 2.55436 | − | 0.191423i | ||||
\(236\) | 9937.06 | − | 43537.1i | 0.178416 | − | 0.781692i | ||||
\(237\) | 69589.0 | + | 15883.2i | 1.23892 | + | 0.282776i | ||||
\(238\) | 9822.51 | + | 131072.i | 0.173408 | + | 2.31397i | ||||
\(239\) | 62287.6 | + | 42466.9i | 1.09045 | + | 0.743456i | 0.968483 | − | 0.249078i | \(-0.0801277\pi\) |
0.121966 | + | 0.992534i | \(0.461080\pi\) | |||||||
\(240\) | −53665.6 | − | 49794.4i | −0.931694 | − | 0.864486i | ||||
\(241\) | 34690.9 | − | 13615.2i | 0.597284 | − | 0.234417i | −0.0473870 | − | 0.998877i | \(-0.515089\pi\) |
0.644671 | + | 0.764460i | \(0.276994\pi\) | |||||||
\(242\) | 31287.7 | + | 24951.1i | 0.534247 | + | 0.426048i | ||||
\(243\) | −50506.8 | − | 3784.96i | −0.855338 | − | 0.0640987i | ||||
\(244\) | −2649.21 | + | 8588.52i | −0.0444976 | + | 0.144258i | ||||
\(245\) | −5125.24 | − | 34003.7i | −0.0853850 | − | 0.566493i | ||||
\(246\) | 80257.5 | − | 74468.0i | 1.32622 | − | 1.23055i | ||||
\(247\) | −6404.79 | + | 13299.7i | −0.104981 | + | 0.217995i | ||||
\(248\) | 8835.89 | − | 58622.3i | 0.143664 | − | 0.953147i | ||||
\(249\) | −13221.0 | − | 19391.7i | −0.213239 | − | 0.312764i | ||||
\(250\) | −81821.2 | − | 102601.i | −1.30914 | − | 1.64161i | ||||
\(251\) | 3887.67 | − | 6733.64i | 0.0617081 | − | 0.106882i | −0.833521 | − | 0.552488i | \(-0.813679\pi\) |
0.895229 | + | 0.445606i | \(0.147012\pi\) | |||||||
\(252\) | −104682. | + | 60438.0i | −1.64843 | + | 0.951719i | ||||
\(253\) | 19199.1 | − | 48918.6i | 0.299944 | − | 0.764246i | ||||
\(254\) | 2818.85 | + | 5853.40i | 0.0436922 | + | 0.0907279i | ||||
\(255\) | 316274. | − | 97557.6i | 4.86388 | − | 1.50031i | ||||
\(256\) | 2115.70 | + | 9269.49i | 0.0322830 | + | 0.141441i | ||||
\(257\) | 15203.9i | 0.230192i | 0.993354 | + | 0.115096i | \(0.0367175\pi\) | ||||
−0.993354 | + | 0.115096i | \(0.963282\pi\) | |||||||
\(258\) | −96055.5 | + | 138702.i | −1.44306 | + | 2.08373i | ||||
\(259\) | −5294.98 | −0.0789342 | ||||||||
\(260\) | −53126.7 | + | 12125.8i | −0.785897 | + | 0.179376i | ||||
\(261\) | 17716.8 | + | 57436.4i | 0.260078 | + | 0.843153i | ||||
\(262\) | 10987.0 | − | 5291.04i | 0.160057 | − | 0.0770794i | ||||
\(263\) | −126778. | − | 49756.8i | −1.83288 | − | 0.719351i | −0.980529 | − | 0.196372i | \(-0.937084\pi\) |
−0.852346 | − | 0.522978i | \(-0.824821\pi\) | |||||||
\(264\) | −25568.0 | − | 44285.1i | −0.366850 | − | 0.635404i | ||||
\(265\) | −122258. | − | 70585.7i | −1.74095 | − | 1.00514i | ||||
\(266\) | −48424.3 | + | 38617.1i | −0.684384 | + | 0.545778i | ||||
\(267\) | −96495.1 | + | 65789.3i | −1.35358 | + | 0.922853i | ||||
\(268\) | 18222.0 | + | 2746.53i | 0.253704 | + | 0.0382397i | ||||
\(269\) | −82047.3 | − | 39511.9i | −1.13386 | − | 0.546039i | −0.229713 | − | 0.973258i | \(-0.573779\pi\) |
−0.904148 | + | 0.427220i | \(0.859493\pi\) | |||||||
\(270\) | 145533. | + | 156847.i | 1.99634 | + | 2.15154i | ||||
\(271\) | 66213.4 | − | 9980.07i | 0.901587 | − | 0.135892i | 0.318140 | − | 0.948044i | \(-0.396942\pi\) |
0.583447 | + | 0.812151i | \(0.301704\pi\) | |||||||
\(272\) | 60478.2 | + | 18655.1i | 0.817450 | + | 0.252150i | ||||
\(273\) | 2568.59 | − | 34275.4i | 0.0344643 | − | 0.459894i | ||||
\(274\) | −47019.9 | + | 58961.1i | −0.626297 | + | 0.785352i | ||||
\(275\) | 37359.6 | + | 95190.6i | 0.494011 | + | 1.25872i | ||||
\(276\) | 129643. | − | 139722.i | 1.70189 | − | 1.83420i | ||||
\(277\) | 30906.5 | − | 45331.5i | 0.402800 | − | 0.590800i | −0.570228 | − | 0.821487i | \(-0.693145\pi\) |
0.973028 | + | 0.230687i | \(0.0740974\pi\) | |||||||
\(278\) | 5908.66 | − | 442.793i | 0.0764538 | − | 0.00572942i | ||||
\(279\) | 47133.8 | − | 206507.i | 0.605514 | − | 2.65293i | ||||
\(280\) | −62265.2 | − | 14211.6i | −0.794199 | − | 0.181271i | ||||
\(281\) | −8415.37 | − | 112295.i | −0.106576 | − | 1.42216i | −0.752416 | − | 0.658688i | \(-0.771112\pi\) |
0.645840 | − | 0.763473i | \(-0.276507\pi\) | |||||||
\(282\) | −254461. | − | 173489.i | −3.19980 | − | 2.18159i | ||||
\(283\) | −4957.15 | − | 4599.56i | −0.0618955 | − | 0.0574306i | 0.648619 | − | 0.761114i | \(-0.275347\pi\) |
−0.710514 | + | 0.703683i | \(0.751538\pi\) | |||||||
\(284\) | 9815.91 | − | 3852.46i | 0.121701 | − | 0.0477641i | ||||
\(285\) | 121937. | + | 97241.6i | 1.50123 | + | 1.19719i | ||||
\(286\) | 32618.1 | + | 2444.39i | 0.398774 | + | 0.0298840i | ||||
\(287\) | −14060.3 | + | 45582.4i | −0.170699 | + | 0.553392i | ||||
\(288\) | 27444.1 | + | 182080.i | 0.330875 | + | 2.19521i | ||||
\(289\) | −148528. | + | 137814.i | −1.77833 | + | 1.65005i | ||||
\(290\) | −49330.5 | + | 102436.i | −0.586569 | + | 1.21802i | ||||
\(291\) | 9671.17 | − | 64164.0i | 0.114207 | − | 0.757715i | ||||
\(292\) | 82212.7 | + | 120584.i | 0.964214 | + | 1.41424i | ||||
\(293\) | 66375.3 | + | 83232.0i | 0.773164 | + | 0.969517i | 0.999990 | − | 0.00441862i | \(-0.00140649\pi\) |
−0.226827 | + | 0.973935i | \(0.572835\pi\) | |||||||
\(294\) | −37433.1 | + | 64836.1i | −0.433073 | + | 0.750105i | ||||
\(295\) | 73008.1 | − | 42151.2i | 0.838932 | − | 0.484358i | ||||
\(296\) | 1865.09 | − | 4752.18i | 0.0212871 | − | 0.0542387i | ||||
\(297\) | −32385.6 | − | 67249.5i | −0.367147 | − | 0.762388i | ||||
\(298\) | 132740. | − | 40944.8i | 1.49475 | − | 0.461070i | ||||
\(299\) | 7578.15 | + | 33202.1i | 0.0847659 | + | 0.371383i | ||||
\(300\) | 370894.i | 4.12105i | ||||||||
\(301\) | 6028.15 | − | 73260.8i | 0.0665351 | − | 0.808609i | ||||
\(302\) | −94799.0 | −1.03942 | ||||||||
\(303\) | 28466.3 | − | 6497.24i | 0.310060 | − | 0.0707691i | ||||
\(304\) | 8790.62 | + | 28498.5i | 0.0951201 | + | 0.308372i | ||||
\(305\) | −15286.8 | + | 7361.76i | −0.164330 | + | 0.0791374i | ||||
\(306\) | −421479. | − | 165418.i | −4.50125 | − | 1.76661i | ||||
\(307\) | −32691.9 | − | 56624.0i | −0.346867 | − | 0.600791i | 0.638824 | − | 0.769353i | \(-0.279421\pi\) |
−0.985691 | + | 0.168562i | \(0.946088\pi\) | |||||||
\(308\) | 69075.7 | + | 39880.9i | 0.728155 | + | 0.420401i | ||||
\(309\) | 62347.1 | − | 49720.2i | 0.652979 | − | 0.520734i | ||||
\(310\) | 331044. | − | 225702.i | 3.44478 | − | 2.34861i | ||||
\(311\) | 135953. | + | 20491.7i | 1.40562 | + | 0.211864i | 0.807655 | − | 0.589656i | \(-0.200737\pi\) |
0.597969 | + | 0.801519i | \(0.295975\pi\) | |||||||
\(312\) | 29857.0 | + | 14378.4i | 0.306716 | + | 0.147707i | ||||
\(313\) | −104892. | − | 113047.i | −1.07067 | − | 1.15390i | −0.987541 | − | 0.157364i | \(-0.949700\pi\) |
−0.0831250 | − | 0.996539i | \(-0.526490\pi\) | |||||||
\(314\) | 64144.2 | − | 9668.19i | 0.650576 | − | 0.0980586i | ||||
\(315\) | −218050. | − | 67259.7i | −2.19754 | − | 0.677850i | ||||
\(316\) | 8021.75 | − | 107043.i | 0.0803332 | − | 1.07197i | ||||
\(317\) | 22658.7 | − | 28413.2i | 0.225485 | − | 0.282749i | −0.656201 | − | 0.754586i | \(-0.727838\pi\) |
0.881686 | + | 0.471837i | \(0.156409\pi\) | |||||||
\(318\) | 112286. | + | 286101.i | 1.11038 | + | 2.82921i | ||||
\(319\) | 26977.3 | − | 29074.6i | 0.265104 | − | 0.285714i | ||||
\(320\) | −151511. | + | 222226.i | −1.47960 | + | 2.17018i | ||||
\(321\) | −23578.4 | + | 1766.96i | −0.228826 | + | 0.0171481i | ||||
\(322\) | −31796.7 | + | 139310.i | −0.306669 | + | 1.34360i | ||||
\(323\) | −131453. | − | 30003.2i | −1.25998 | − | 0.287583i | ||||
\(324\) | −1826.84 | − | 24377.5i | −0.0174025 | − | 0.232220i | ||||
\(325\) | −54754.3 | − | 37330.8i | −0.518384 | − | 0.353428i | ||||
\(326\) | 132042. | + | 122518.i | 1.24245 | + | 1.15282i | ||||
\(327\) | −248377. | + | 97480.7i | −2.32282 | + | 0.911639i | ||||
\(328\) | −35957.0 | − | 28674.8i | −0.334223 | − | 0.266534i | ||||
\(329\) | 133808. | + | 10027.5i | 1.23621 | + | 0.0926408i | ||||
\(330\) | 101866. | − | 330240.i | 0.935404 | − | 3.03251i | ||||
\(331\) | 9022.54 | + | 59860.6i | 0.0823517 | + | 0.546368i | 0.991522 | + | 0.129942i | \(0.0414793\pi\) |
−0.909170 | + | 0.416426i | \(0.863283\pi\) | |||||||
\(332\) | −25873.2 | + | 24006.8i | −0.234732 | + | 0.217800i | ||||
\(333\) | 7913.99 | − | 16433.6i | 0.0713686 | − | 0.148198i | ||||
\(334\) | −20293.9 | + | 134641.i | −0.181917 | + | 1.20694i | ||||
\(335\) | 19596.7 | + | 28743.1i | 0.174620 | + | 0.256120i | ||||
\(336\) | −43296.7 | − | 54292.3i | −0.383509 | − | 0.480905i | ||||
\(337\) | −42032.5 | + | 72802.4i | −0.370105 | + | 0.641041i | −0.989581 | − | 0.143974i | \(-0.954012\pi\) |
0.619476 | + | 0.785015i | \(0.287345\pi\) | |||||||
\(338\) | 134520. | − | 77665.3i | 1.17748 | − | 0.679819i | ||||
\(339\) | −127305. | + | 324368.i | −1.10776 | + | 2.82253i | ||||
\(340\) | −215963. | − | 448451.i | −1.86819 | − | 3.87933i | ||||
\(341\) | −133561. | + | 41198.2i | −1.14861 | + | 0.354298i | ||||
\(342\) | −47476.5 | − | 208008.i | −0.405907 | − | 1.77839i | ||||
\(343\) | − | 128072.i | − | 1.08860i | ||||||
\(344\) | 63627.3 | + | 31215.4i | 0.537683 | + | 0.263786i | ||||
\(345\) | 359818. | 3.02305 | ||||||||
\(346\) | 62668.4 | − | 14303.6i | 0.523475 | − | 0.119480i | ||||
\(347\) | −53664.7 | − | 173977.i | −0.445687 | − | 1.44488i | −0.848302 | − | 0.529512i | \(-0.822375\pi\) |
0.402615 | − | 0.915369i | \(-0.368101\pi\) | |||||||
\(348\) | 129609. | − | 62416.4i | 1.07023 | − | 0.515395i | ||||
\(349\) | 151986. | + | 59650.1i | 1.24782 | + | 0.489734i | 0.895046 | − | 0.445973i | \(-0.147142\pi\) |
0.352776 | + | 0.935708i | \(0.385238\pi\) | |||||||
\(350\) | −139028. | − | 240803.i | −1.13492 | − | 1.96574i | ||||
\(351\) | 41890.8 | + | 24185.7i | 0.340020 | + | 0.196311i | ||||
\(352\) | 94996.6 | − | 75757.2i | 0.766695 | − | 0.611419i | ||||
\(353\) | 73274.1 | − | 49957.4i | 0.588032 | − | 0.400913i | −0.232431 | − | 0.972613i | \(-0.574668\pi\) |
0.820463 | + | 0.571700i | \(0.193716\pi\) | |||||||
\(354\) | −181486. | − | 27354.7i | −1.44823 | − | 0.218285i | ||||
\(355\) | 17935.1 | + | 8637.07i | 0.142314 | + | 0.0685346i | ||||
\(356\) | 119461. | + | 128748.i | 0.942593 | + | 1.01587i | ||||
\(357\) | 310446. | − | 46792.2i | 2.43584 | − | 0.367144i | ||||
\(358\) | 137621. | + | 42450.3i | 1.07379 | + | 0.331219i | ||||
\(359\) | 6018.76 | − | 80314.8i | 0.0467001 | − | 0.623170i | −0.923925 | − | 0.382573i | \(-0.875038\pi\) |
0.970625 | − | 0.240596i | \(-0.0773430\pi\) | |||||||
\(360\) | 137170. | − | 172006.i | 1.05841 | − | 1.32721i | ||||
\(361\) | 24399.3 | + | 62168.4i | 0.187225 | + | 0.477041i | ||||
\(362\) | 74334.7 | − | 80113.7i | 0.567250 | − | 0.611350i | ||||
\(363\) | 53845.8 | − | 78977.3i | 0.408638 | − | 0.599362i | ||||
\(364\) | −51545.2 | + | 3862.78i | −0.389032 | + | 0.0291539i | ||||
\(365\) | −61306.7 | + | 268602.i | −0.460174 | + | 2.01616i | ||||
\(366\) | 36013.2 | + | 8219.78i | 0.268844 | + | 0.0613618i | ||||
\(367\) | 13544.2 | + | 180735.i | 0.100559 | + | 1.34187i | 0.788022 | + | 0.615647i | \(0.211105\pi\) |
−0.687463 | + | 0.726219i | \(0.741276\pi\) | |||||||
\(368\) | 56849.2 | + | 38759.1i | 0.419787 | + | 0.286206i | ||||
\(369\) | −120455. | − | 111766.i | −0.884653 | − | 0.820838i | ||||
\(370\) | 32116.7 | − | 12604.9i | 0.234600 | − | 0.0920737i | ||||
\(371\) | −104695. | − | 83491.1i | −0.760635 | − | 0.606586i | ||||
\(372\) | −505530. | − | 37884.3i | −3.65310 | − | 0.273762i | ||||
\(373\) | 45051.7 | − | 146054.i | 0.323813 | − | 1.04977i | −0.636600 | − | 0.771194i | \(-0.719660\pi\) |
0.960413 | − | 0.278581i | \(-0.0898640\pi\) | |||||||
\(374\) | 44529.6 | + | 295435.i | 0.318351 | + | 2.11212i | ||||
\(375\) | −229778. | + | 213203.i | −1.63398 | + | 1.51611i | ||||
\(376\) | −56131.8 | + | 116559.i | −0.397039 | + | 0.824461i | ||||
\(377\) | −3830.87 | + | 25416.1i | −0.0269535 | + | 0.178824i | ||||
\(378\) | 114330. | + | 167692.i | 0.800163 | + | 1.17362i | ||||
\(379\) | 172546. | + | 216366.i | 1.20123 | + | 1.50630i | 0.810443 | + | 0.585817i | \(0.199226\pi\) |
0.390789 | + | 0.920480i | \(0.372202\pi\) | |||||||
\(380\) | 117273. | − | 203123.i | 0.812140 | − | 1.40667i | ||||
\(381\) | 13439.0 | − | 7758.99i | 0.0925797 | − | 0.0534509i | ||||
\(382\) | 75100.4 | − | 191353.i | 0.514654 | − | 1.31132i | ||||
\(383\) | −33143.3 | − | 68822.8i | −0.225943 | − | 0.469175i | 0.756922 | − | 0.653506i | \(-0.226702\pi\) |
−0.982864 | + | 0.184331i | \(0.940988\pi\) | |||||||
\(384\) | 256057. | − | 78983.0i | 1.73650 | − | 0.535638i | ||||
\(385\) | 33505.7 | + | 146798.i | 0.226046 | + | 0.990374i | ||||
\(386\) | 4048.48i | 0.0271717i | ||||||||
\(387\) | 218363. | + | 128206.i | 1.45800 | + | 0.856026i | ||||
\(388\) | −97583.2 | −0.648204 | ||||||||
\(389\) | −236265. | + | 53926.0i | −1.56135 | + | 0.356368i | −0.913965 | − | 0.405794i | \(-0.866995\pi\) |
−0.647386 | + | 0.762162i | \(0.724138\pi\) | |||||||
\(390\) | 66014.0 | + | 214012.i | 0.434017 | + | 1.40705i | ||||
\(391\) | −280264. | + | 134968.i | −1.83322 | + | 0.882831i | ||||
\(392\) | 29275.0 | + | 11489.6i | 0.190513 | + | 0.0747708i | ||||
\(393\) | −14563.8 | − | 25225.2i | −0.0942952 | − | 0.163324i | ||||
\(394\) | −4366.94 | − | 2521.25i | −0.0281310 | − | 0.0162414i | ||||
\(395\) | 158431. | − | 126344.i | 1.01542 | − | 0.809771i | ||||
\(396\) | −227017. | + | 154778.i | −1.44766 | + | 0.987001i | ||||
\(397\) | 20131.7 | + | 3034.36i | 0.127732 | + | 0.0192525i | 0.212597 | − | 0.977140i | \(-0.431808\pi\) |
−0.0848652 | + | 0.996392i | \(0.527046\pi\) | |||||||
\(398\) | −324941. | − | 156483.i | −2.05134 | − | 0.987875i | ||||
\(399\) | 100625. | + | 108448.i | 0.632063 | + | 0.681202i | ||||
\(400\) | −132392. | + | 19954.9i | −0.827449 | + | 0.124718i | ||||
\(401\) | −260269. | − | 80282.5i | −1.61858 | − | 0.499266i | −0.652562 | − | 0.757736i | \(-0.726306\pi\) |
−0.966019 | + | 0.258470i | \(0.916782\pi\) | |||||||
\(402\) | 5659.85 | − | 75525.4i | 0.0350229 | − | 0.467349i | ||||
\(403\) | 56474.8 | − | 70817.2i | 0.347732 | − | 0.436042i | ||||
\(404\) | −16042.1 | − | 40874.7i | −0.0982877 | − | 0.250433i | ||||
\(405\) | 31389.0 | − | 33829.3i | 0.191367 | − | 0.206245i | ||||
\(406\) | −60752.1 | + | 89106.9i | −0.368561 | + | 0.540579i | ||||
\(407\) | −12002.2 | + | 899.441i | −0.0724557 | + | 0.00542980i | ||||
\(408\) | −67355.3 | + | 295103.i | −0.404624 | + | 1.77277i | ||||
\(409\) | −282321. | − | 64437.9i | −1.68770 | − | 0.385207i | −0.732410 | − | 0.680864i | \(-0.761604\pi\) |
−0.955294 | + | 0.295657i | \(0.904461\pi\) | |||||||
\(410\) | −23227.6 | − | 309951.i | −0.138177 | − | 1.84385i | ||||
\(411\) | 148831. | + | 101472.i | 0.881071 | + | 0.600704i | ||||
\(412\) | −87911.0 | − | 81569.5i | −0.517904 | − | 0.480544i | ||||
\(413\) | 74438.1 | − | 29214.8i | 0.436410 | − | 0.171278i | ||||
\(414\) | −384841. | − | 306901.i | −2.24533 | − | 1.79059i | ||||
\(415\) | −66443.4 | − | 4979.25i | −0.385794 | − | 0.0289113i | ||||
\(416\) | −23209.5 | + | 75243.3i | −0.134115 | + | 0.434791i | ||||
\(417\) | −2109.36 | − | 13994.7i | −0.0121305 | − | 0.0804807i | ||||
\(418\) | −103204. | + | 95759.5i | −0.590670 | + | 0.548062i | ||||
\(419\) | 108235. | − | 224753.i | 0.616511 | − | 1.28020i | −0.325794 | − | 0.945441i | \(-0.605631\pi\) |
0.942304 | − | 0.334757i | \(-0.108654\pi\) | |||||||
\(420\) | −81396.3 | + | 540029.i | −0.461430 | + | 3.06139i | ||||
\(421\) | 46713.8 | + | 68516.6i | 0.263561 | + | 0.386573i | 0.935093 | − | 0.354403i | \(-0.115316\pi\) |
−0.671532 | + | 0.740976i | \(0.734363\pi\) | |||||||
\(422\) | −68693.8 | − | 86139.4i | −0.385738 | − | 0.483701i | ||||
\(423\) | −231114. | + | 400301.i | −1.29165 | + | 2.23721i | ||||
\(424\) | 111810. | − | 64553.3i | 0.621938 | − | 0.359076i | ||||
\(425\) | 221145. | − | 563467.i | 1.22433 | − | 3.11954i | ||||
\(426\) | −18803.9 | − | 39046.7i | −0.103616 | − | 0.215162i | ||||
\(427\) | −15379.3 | + | 4743.88i | −0.0843490 | + | 0.0260182i | ||||
\(428\) | 7912.39 | + | 34666.4i | 0.0431937 | + | 0.189244i | ||||
\(429\) | − | 78128.9i | − | 0.424519i | ||||||
\(430\) | 137836. | + | 458714.i | 0.745463 | + | 2.48087i | ||||
\(431\) | −137012. | −0.737573 | −0.368787 | − | 0.929514i | \(-0.620227\pi\) | ||||
−0.368787 | + | 0.929514i | \(0.620227\pi\) | |||||||
\(432\) | 95276.8 | − | 21746.3i | 0.510528 | − | 0.116525i | ||||
\(433\) | 49033.6 | + | 158963.i | 0.261528 | + | 0.847852i | 0.987155 | + | 0.159764i | \(0.0510734\pi\) |
−0.725628 | + | 0.688088i | \(0.758450\pi\) | |||||||
\(434\) | 342416. | − | 164899.i | 1.81792 | − | 0.875463i | ||||
\(435\) | 252796. | + | 99215.0i | 1.33595 | + | 0.524323i | ||||
\(436\) | 200630. | + | 347501.i | 1.05541 | + | 1.82803i | ||||
\(437\) | −126944. | − | 73291.0i | −0.664734 | − | 0.383785i | ||||
\(438\) | 468956. | − | 373980.i | 2.44446 | − | 1.94940i | ||||
\(439\) | −99230.7 | + | 67654.4i | −0.514893 | + | 0.351048i | −0.792723 | − | 0.609582i | \(-0.791337\pi\) |
0.277830 | + | 0.960630i | \(0.410385\pi\) | |||||||
\(440\) | −143551. | − | 21636.9i | −0.741485 | − | 0.111761i | ||||
\(441\) | 101236. | + | 48752.8i | 0.520546 | + | 0.250682i | ||||
\(442\) | −131695. | − | 141933.i | −0.674099 | − | 0.726506i | ||||
\(443\) | 105871. | − | 15957.5i | 0.539472 | − | 0.0813123i | 0.126346 | − | 0.991986i | \(-0.459675\pi\) |
0.413126 | + | 0.910674i | \(0.364437\pi\) | |||||||
\(444\) | −41714.6 | − | 12867.2i | −0.211603 | − | 0.0652709i | ||||
\(445\) | −24777.3 | + | 330630.i | −0.125122 | + | 1.66964i | ||||
\(446\) | 195371. | − | 244988.i | 0.982180 | − | 1.23161i | ||||
\(447\) | −121220. | − | 308863.i | −0.606678 | − | 1.54579i | ||||
\(448\) | −173530. | + | 187020.i | −0.864604 | + | 0.931822i | ||||
\(449\) | −214450. | + | 314541.i | −1.06374 | + | 1.56021i | −0.259648 | + | 0.965703i | \(0.583607\pi\) |
−0.804088 | + | 0.594511i | \(0.797346\pi\) | |||||||
\(450\) | 955152. | − | 71578.8i | 4.71680 | − | 0.353475i | ||||
\(451\) | −24127.8 | + | 105711.i | −0.118622 | + | 0.519715i | ||||
\(452\) | 510887. | + | 116607.i | 2.50062 | + | 0.570751i | ||||
\(453\) | 16921.4 | + | 225800.i | 0.0824593 | + | 1.10034i | ||||
\(454\) | −112949. | − | 77007.3i | −0.547988 | − | 0.373612i | ||||
\(455\) | −71530.6 | − | 66370.7i | −0.345517 | − | 0.320593i | ||||
\(456\) | −132775. | + | 52110.2i | −0.638536 | + | 0.250607i | ||||
\(457\) | −978.712 | − | 780.497i | −0.00468622 | − | 0.00373713i | 0.621144 | − | 0.783697i | \(-0.286668\pi\) |
−0.625830 | + | 0.779959i | \(0.715240\pi\) | |||||||
\(458\) | −13897.1 | − | 1041.44i | −0.0662510 | − | 0.00496483i | ||||
\(459\) | −130231. | + | 422199.i | −0.618144 | + | 2.00397i | ||||
\(460\) | −80648.9 | − | 535070.i | −0.381138 | − | 2.52869i | ||||
\(461\) | 169292. | − | 157080.i | 0.796590 | − | 0.739127i | −0.172720 | − | 0.984971i | \(-0.555255\pi\) |
0.969310 | + | 0.245844i | \(0.0790650\pi\) | |||||||
\(462\) | 142234. | − | 295352.i | 0.666376 | − | 1.38374i | ||||
\(463\) | 4196.83 | − | 27844.1i | 0.0195776 | − | 0.129889i | −0.976907 | − | 0.213665i | \(-0.931460\pi\) |
0.996485 | + | 0.0837761i | \(0.0266980\pi\) | |||||||
\(464\) | 29252.9 | + | 42906.2i | 0.135873 | + | 0.199289i | ||||
\(465\) | −596686. | − | 748221.i | −2.75956 | − | 3.46038i | ||||
\(466\) | −44504.4 | + | 77083.9i | −0.204942 | + | 0.354970i | ||||
\(467\) | 248330. | − | 143373.i | 1.13866 | − | 0.657407i | 0.192564 | − | 0.981284i | \(-0.438320\pi\) |
0.946099 | + | 0.323877i | \(0.104986\pi\) | |||||||
\(468\) | 65052.0 | − | 165750.i | 0.297008 | − | 0.756765i | ||||
\(469\) | 14317.4 | + | 29730.4i | 0.0650908 | + | 0.135162i | ||||
\(470\) | −835485. | + | 257713.i | −3.78219 | + | 1.16665i | ||||
\(471\) | −34478.1 | − | 151058.i | −0.155418 | − | 0.680931i | ||||
\(472\) | 77097.8i | 0.346065i | ||||||||
\(473\) | 1219.52 | − | 167085.i | 0.00545088 | − | 0.746820i | ||||
\(474\) | −441173. | −1.96359 | ||||||||
\(475\) | 278082. | − | 63470.4i | 1.23250 | − | 0.281309i | ||||
\(476\) | −139165. | − | 451162.i | −0.614210 | − | 1.99122i | ||||
\(477\) | 415603. | − | 200144.i | 1.82659 | − | 0.879641i | ||||
\(478\) | −433737. | − | 170229.i | −1.89833 | − | 0.745038i | ||||
\(479\) | 63724.8 | + | 110375.i | 0.277739 | + | 0.481058i | 0.970823 | − | 0.239799i | \(-0.0770815\pi\) |
−0.693083 | + | 0.720857i | \(0.743748\pi\) | |||||||
\(480\) | 720486. | + | 415973.i | 3.12711 | + | 1.80544i | ||||
\(481\) | 6098.17 | − | 4863.13i | 0.0263578 | − | 0.0210197i | ||||
\(482\) | −190314. | + | 129754.i | −0.819174 | + | 0.558503i | ||||
\(483\) | 337497. | + | 50869.4i | 1.44669 | + | 0.218053i | ||||
\(484\) | −129513. | − | 62370.0i | −0.552868 | − | 0.266247i | ||||
\(485\) | −125299. | − | 135040.i | −0.532677 | − | 0.574089i | ||||
\(486\) | 309548. | − | 46656.9i | 1.31056 | − | 0.197535i | ||||
\(487\) | 279987. | + | 86364.5i | 1.18054 | + | 0.364147i | 0.822065 | − | 0.569393i | \(-0.192822\pi\) |
0.358471 | + | 0.933541i | \(0.383298\pi\) | |||||||
\(488\) | 1159.59 | − | 15473.7i | 0.00486929 | − | 0.0649761i | ||||
\(489\) | 268253. | − | 336379.i | 1.12183 | − | 1.40673i | ||||
\(490\) | 77650.3 | + | 197850.i | 0.323408 | + | 0.824030i | ||||
\(491\) | −261318. | + | 281633.i | −1.08394 | + | 1.16821i | −0.0990420 | + | 0.995083i | \(0.531578\pi\) |
−0.984899 | + | 0.173128i | \(0.944613\pi\) | |||||||
\(492\) | −221538. | + | 324936.i | −0.915204 | + | 1.34236i | ||||
\(493\) | −234119. | + | 17544.8i | −0.963259 | + | 0.0721862i | ||||
\(494\) | 20302.2 | − | 88949.7i | 0.0831934 | − | 0.364494i | ||||
\(495\) | −505683. | − | 115419.i | −2.06380 | − | 0.471050i | ||||
\(496\) | −13675.6 | − | 182489.i | −0.0555884 | − | 0.741776i | ||||
\(497\) | 15601.4 | + | 10636.8i | 0.0631611 | + | 0.0430625i | ||||
\(498\) | 106337. | + | 98666.3i | 0.428771 | + | 0.397841i | ||||
\(499\) | 221257. | − | 86836.8i | 0.888577 | − | 0.348741i | 0.123245 | − | 0.992376i | \(-0.460670\pi\) |
0.765332 | + | 0.643635i | \(0.222575\pi\) | |||||||
\(500\) | 368546. | + | 293906.i | 1.47418 | + | 1.17562i | ||||
\(501\) | 324323. | + | 24304.6i | 1.29212 | + | 0.0968308i | ||||
\(502\) | −14165.1 | + | 45922.3i | −0.0562100 | + | 0.182228i | ||||
\(503\) | 48106.9 | + | 319168.i | 0.190139 | + | 1.26149i | 0.856612 | + | 0.515961i | \(0.172565\pi\) |
−0.666473 | + | 0.745529i | \(0.732197\pi\) | |||||||
\(504\) | 152978. | − | 141943.i | 0.602238 | − | 0.558796i | ||||
\(505\) | 35965.8 | − | 74683.8i | 0.141029 | − | 0.292849i | ||||
\(506\) | −48409.8 | + | 321178.i | −0.189074 | + | 1.25442i | ||||
\(507\) | −209001. | − | 306549.i | −0.813080 | − | 1.19257i | ||||
\(508\) | −14550.2 | − | 18245.4i | −0.0563822 | − | 0.0707011i | ||||
\(509\) | 43523.2 | − | 75384.4i | 0.167991 | − | 0.290968i | −0.769723 | − | 0.638379i | \(-0.779605\pi\) |
0.937713 | + | 0.347410i | \(0.112939\pi\) | |||||||
\(510\) | −1.77162e6 | + | 1.02285e6i | −6.81130 | + | 3.93251i | ||||
\(511\) | −95477.2 | + | 243272.i | −0.365644 | + | 0.931645i | ||||
\(512\) | 100508. | + | 208707.i | 0.383407 | + | 0.796152i | ||||
\(513\) | −198948. | + | 61367.4i | −0.755972 | + | 0.233186i | ||||
\(514\) | −20910.6 | − | 91615.4i | −0.0791481 | − | 0.346771i | ||||
\(515\) | − | 226392.i | − | 0.853586i | ||||||
\(516\) | 225520. | − | 562509.i | 0.847006 | − | 2.11266i | ||||
\(517\) | 305008. | 1.14112 | ||||||||
\(518\) | 31906.4 | − | 7282.42i | 0.118910 | − | 0.0271404i | ||||
\(519\) | −45255.8 | − | 146716.i | −0.168012 | − | 0.544681i | ||||
\(520\) | 84762.7 | − | 40819.5i | 0.313471 | − | 0.150960i | ||||
\(521\) | −154825. | − | 60764.5i | −0.570383 | − | 0.223859i | 0.0625812 | − | 0.998040i | \(-0.480067\pi\) |
−0.632964 | + | 0.774181i | \(0.718162\pi\) | |||||||
\(522\) | −185752. | − | 321732.i | −0.681699 | − | 1.18074i | ||||
\(523\) | −274470. | − | 158465.i | −1.00344 | − | 0.579337i | −0.0941763 | − | 0.995556i | \(-0.530022\pi\) |
−0.909265 | + | 0.416219i | \(0.863355\pi\) | |||||||
\(524\) | −34247.0 | + | 27311.1i | −0.124727 | + | 0.0994664i | ||||
\(525\) | −548748. | + | 374130.i | −1.99092 | + | 1.35739i | ||||
\(526\) | 832369. | + | 125459.i | 3.00846 | + | 0.453453i | ||||
\(527\) | 745419. | + | 358975.i | 2.68398 | + | 1.29254i | ||||
\(528\) | −107364. | − | 115710.i | −0.385114 | − | 0.415054i | ||||
\(529\) | −57682.3 | + | 8694.21i | −0.206125 | + | 0.0310684i | ||||
\(530\) | 833779. | + | 257187.i | 2.96824 | + | 0.915581i | ||||
\(531\) | −20585.3 | + | 274692.i | −0.0730077 | + | 0.974220i | ||||
\(532\) | 138714. | − | 173942.i | 0.490115 | − | 0.614585i | ||||
\(533\) | −25671.6 | − | 65410.3i | −0.0903648 | − | 0.230246i | ||||
\(534\) | 490975. | − | 529145.i | 1.72178 | − | 1.85563i | ||||
\(535\) | −37813.4 | + | 55462.0i | −0.132111 | + | 0.193771i | ||||
\(536\) | −31725.8 | + | 2377.52i | −0.110429 | + | 0.00827551i | ||||
\(537\) | 76546.9 | − | 335374.i | 0.265448 | − | 1.16300i | ||||
\(538\) | 548741. | + | 125247.i | 1.89584 | + | 0.432714i | ||||
\(539\) | −5540.86 | − | 73937.6i | −0.0190721 | − | 0.254500i | ||||
\(540\) | −635024. | − | 432952.i | −2.17772 | − | 1.48475i | ||||
\(541\) | −102006. | − | 94647.8i | −0.348523 | − | 0.323382i | 0.486413 | − | 0.873729i | \(-0.338305\pi\) |
−0.834936 | + | 0.550347i | \(0.814495\pi\) | |||||||
\(542\) | −385261. | + | 151204.i | −1.31146 | + | 0.514712i | ||||
\(543\) | −204090. | − | 162757.i | −0.692186 | − | 0.552000i | ||||
\(544\) | −717221. | − | 53748.3i | −2.42357 | − | 0.181621i | ||||
\(545\) | −223275. | + | 723840.i | −0.751704 | + | 2.43697i | ||||
\(546\) | 31662.7 | + | 210068.i | 0.106209 | + | 0.704654i | ||||
\(547\) | −17265.7 | + | 16020.2i | −0.0577045 | + | 0.0535420i | −0.708498 | − | 0.705713i | \(-0.750627\pi\) |
0.650793 | + | 0.759255i | \(0.274436\pi\) | |||||||
\(548\) | 117535. | − | 244064.i | 0.391387 | − | 0.812724i | ||||
\(549\) | 8263.03 | − | 54821.6i | 0.0274154 | − | 0.181889i | ||||
\(550\) | −356040. | − | 522215.i | −1.17699 | − | 1.72633i | ||||
\(551\) | −68977.1 | − | 86494.6i | −0.227197 | − | 0.284896i | ||||
\(552\) | −164534. | + | 284981.i | −0.539979 | + | 0.935271i | ||||
\(553\) | 166465. | − | 96108.3i | 0.544341 | − | 0.314276i | ||||
\(554\) | −123889. | + | 315664.i | −0.403658 | + | 1.02850i | ||||
\(555\) | −35756.2 | − | 74248.4i | −0.116082 | − | 0.241047i | ||||
\(556\) | −20338.1 | + | 6273.48i | −0.0657902 | + | 0.0202936i | ||||
\(557\) | 11749.7 | + | 51478.9i | 0.0378719 | + | 0.165928i | 0.990327 | − | 0.138750i | \(-0.0443084\pi\) |
−0.952456 | + | 0.304678i | \(0.901451\pi\) | |||||||
\(558\) | 1.30919e6i | 4.20468i | ||||||||
\(559\) | 60343.2 | + | 89910.1i | 0.193110 | + | 0.287730i | ||||
\(560\) | −197144. | −0.628648 | ||||||||
\(561\) | 695743. | − | 158799.i | 2.21067 | − | 0.504570i | ||||
\(562\) | 205154. | + | 665092.i | 0.649541 | + | 2.10576i | ||||
\(563\) | 30565.7 | − | 14719.7i | 0.0964311 | − | 0.0464388i | −0.385046 | − | 0.922897i | \(-0.625815\pi\) |
0.481478 | + | 0.876458i | \(0.340100\pi\) | |||||||
\(564\) | 1.02979e6 | + | 404163.i | 3.23736 | + | 1.27057i | ||||
\(565\) | 494625. | + | 856716.i | 1.54946 | + | 2.68374i | ||||
\(566\) | 36196.6 | + | 20898.1i | 0.112989 | + | 0.0652341i | ||||
\(567\) | 34224.4 | − | 27293.0i | 0.106456 | − | 0.0848957i | ||||
\(568\) | −15041.8 | + | 10255.3i | −0.0466233 | + | 0.0317873i | ||||
\(569\) | −553541. | − | 83432.9i | −1.70972 | − | 0.257699i | −0.779952 | − | 0.625840i | \(-0.784756\pi\) |
−0.929770 | + | 0.368141i | \(0.879995\pi\) | |||||||
\(570\) | −868506. | − | 418250.i | −2.67315 | − | 1.28732i | ||||
\(571\) | 138947. | + | 149749.i | 0.426163 | + | 0.459295i | 0.909233 | − | 0.416287i | \(-0.136669\pi\) |
−0.483070 | + | 0.875582i | \(0.660478\pi\) | |||||||
\(572\) | −116182. | + | 17511.6i | −0.355097 | + | 0.0535222i | ||||
\(573\) | −469185. | − | 144725.i | −1.42901 | − | 0.440791i | ||||
\(574\) | 22032.8 | − | 294007.i | 0.0668721 | − | 0.892347i | ||||
\(575\) | 410290. | − | 514487.i | 1.24095 | − | 1.55611i | ||||
\(576\) | −321078. | − | 818093.i | −0.967755 | − | 2.46580i | ||||
\(577\) | −12202.8 | + | 13151.5i | −0.0366528 | + | 0.0395023i | −0.751112 | − | 0.660175i | \(-0.770482\pi\) |
0.714459 | + | 0.699677i | \(0.246673\pi\) | |||||||
\(578\) | 705454. | − | 1.03471e6i | 2.11161 | − | 3.09716i | ||||
\(579\) | 9643.01 | − | 722.644i | 0.0287644 | − | 0.00215559i | ||||
\(580\) | 90877.2 | − | 398159.i | 0.270146 | − | 1.18359i | ||||
\(581\) | −61617.6 | − | 14063.8i | −0.182538 | − | 0.0416630i | ||||
\(582\) | 29971.3 | + | 399939.i | 0.0884829 | + | 1.18072i | ||||
\(583\) | −251495. | − | 171466.i | −0.739933 | − | 0.504478i | ||||
\(584\) | −184703. | − | 171379.i | −0.541562 | − | 0.502496i | ||||
\(585\) | 312900. | − | 122804.i | 0.914312 | − | 0.358841i | ||||
\(586\) | −514435. | − | 410248.i | −1.49808 | − | 1.19468i | ||||
\(587\) | 100752. | + | 7550.32i | 0.292400 | + | 0.0219124i | 0.220123 | − | 0.975472i | \(-0.429354\pi\) |
0.0722774 | + | 0.997385i | \(0.476973\pi\) | |||||||
\(588\) | 79266.5 | − | 256976.i | 0.229263 | − | 0.743254i | ||||
\(589\) | 58106.3 | + | 385510.i | 0.167491 | + | 1.11123i | ||||
\(590\) | −381958. | + | 354405.i | −1.09726 | + | 1.01811i | ||||
\(591\) | −5225.85 | + | 10851.6i | −0.0149617 | + | 0.0310684i | ||||
\(592\) | 2348.67 | − | 15582.4i | 0.00670161 | − | 0.0444623i | ||||
\(593\) | −343739. | − | 504173.i | −0.977507 | − | 1.43374i | −0.899568 | − | 0.436781i | \(-0.856119\pi\) |
−0.0779385 | − | 0.996958i | \(-0.524834\pi\) | |||||||
\(594\) | 287640. | + | 360689.i | 0.815222 | + | 1.02226i | ||||
\(595\) | 445649. | − | 771886.i | 1.25881 | − | 2.18031i | ||||
\(596\) | −432126. | + | 249488.i | −1.21652 | + | 0.702356i | ||||
\(597\) | −314724. | + | 801904.i | −0.883042 | + | 2.24995i | ||||
\(598\) | −91328.4 | − | 189645.i | −0.255390 | − | 0.530323i | ||||
\(599\) | 574450. | − | 177194.i | 1.60103 | − | 0.493852i | 0.639553 | − | 0.768747i | \(-0.279119\pi\) |
0.961474 | + | 0.274895i | \(0.0886432\pi\) | |||||||
\(600\) | −142487. | − | 624277.i | −0.395798 | − | 1.73410i | ||||
\(601\) | 299881.i | 0.830234i | 0.909768 | + | 0.415117i | \(0.136259\pi\) | ||||
−0.909768 | + | 0.415117i | \(0.863741\pi\) | |||||||
\(602\) | 64434.5 | + | 449744.i | 0.177797 | + | 1.24100i | ||||
\(603\) | −113671. | −0.312619 | ||||||||
\(604\) | 331985. | − | 75773.4i | 0.910006 | − | 0.207703i | ||||
\(605\) | −79986.5 | − | 259310.i | −0.218528 | − | 0.708449i | ||||
\(606\) | −162595. | + | 78301.8i | −0.442754 | + | 0.213219i | ||||
\(607\) | 146695. | + | 57573.5i | 0.398142 | + | 0.156259i | 0.555960 | − | 0.831209i | \(-0.312351\pi\) |
−0.157818 | + | 0.987468i | \(0.550446\pi\) | |||||||
\(608\) | −169458. | − | 293510.i | −0.458411 | − | 0.793991i | ||||
\(609\) | 223087. | + | 128799.i | 0.601504 | + | 0.347279i | ||||
\(610\) | 81990.1 | − | 65384.9i | 0.220344 | − | 0.175719i | ||||
\(611\) | −163315. | + | 111346.i | −0.437465 | + | 0.298259i | ||||
\(612\) | 1.60823e6 | + | 242402.i | 4.29384 | + | 0.647193i | ||||
\(613\) | −508844. | − | 245046.i | −1.35414 | − | 0.652119i | −0.390817 | − | 0.920468i | \(-0.627808\pi\) |
−0.963322 | + | 0.268349i | \(0.913522\pi\) | |||||||
\(614\) | 274871. | + | 296241.i | 0.729109 | + | 0.785792i | ||||
\(615\) | −734122. | + | 110651.i | −1.94097 | + | 0.292554i | ||||
\(616\) | −131587. | − | 40589.3i | −0.346778 | − | 0.106967i | ||||
\(617\) | −27912.7 | + | 372469.i | −0.0733216 | + | 0.978408i | 0.832301 | + | 0.554324i | \(0.187023\pi\) |
−0.905623 | + | 0.424085i | \(0.860596\pi\) | |||||||
\(618\) | −307307. | + | 385351.i | −0.804629 | + | 1.00897i | ||||
\(619\) | −79760.6 | − | 203227.i | −0.208165 | − | 0.530395i | 0.788216 | − | 0.615399i | \(-0.211005\pi\) |
−0.996381 | + | 0.0850036i | \(0.972910\pi\) | |||||||
\(620\) | −978906. | + | 1.05501e6i | −2.54658 | + | 2.74456i | ||||
\(621\) | −270578. | + | 396865.i | −0.701632 | + | 1.02910i | ||||
\(622\) | −847407. | + | 63504.4i | −2.19034 | + | 0.164143i | ||||
\(623\) | −69983.2 | + | 306616.i | −0.180309 | + | 0.789985i | ||||
\(624\) | 99728.6 | + | 22762.4i | 0.256124 | + | 0.0584587i | ||||
\(625\) | 13648.3 | + | 182124.i | 0.0349396 | + | 0.466237i | ||||
\(626\) | 787534. | + | 536931.i | 2.00965 | + | 1.37016i | ||||
\(627\) | 246510. | + | 228728.i | 0.627046 | + | 0.581813i | ||||
\(628\) | −216904. | + | 85128.7i | −0.549983 | + | 0.215852i | ||||
\(629\) | 55701.2 | + | 44420.2i | 0.140787 | + | 0.112274i | ||||
\(630\) | 1.40643e6 | + | 105397.i | 3.54353 | + | 0.265551i | ||||
\(631\) | 206701. | − | 670108.i | 0.519139 | − | 1.68301i | −0.193189 | − | 0.981162i | \(-0.561883\pi\) |
0.712328 | − | 0.701847i | \(-0.247641\pi\) | |||||||
\(632\) | 27620.9 | + | 183253.i | 0.0691518 | + | 0.458792i | ||||
\(633\) | −192912. | + | 178997.i | −0.481452 | + | 0.446722i | ||||
\(634\) | −97458.6 | + | 202375.i | −0.242461 | + | 0.503475i | ||||
\(635\) | 6566.04 | − | 43562.8i | 0.0162838 | − | 0.108036i | ||||
\(636\) | −621908. | − | 912171.i | −1.53749 | − | 2.25508i | ||||
\(637\) | 29958.5 | + | 37566.7i | 0.0738314 | + | 0.0925816i | ||||
\(638\) | −122571. | + | 212300.i | −0.301125 | + | 0.521565i | ||||
\(639\) | −56330.8 | + | 32522.6i | −0.137957 | + | 0.0796495i | ||||
\(640\) | 277926. | − | 708144.i | 0.678531 | − | 1.72887i | ||||
\(641\) | −87743.8 | − | 182202.i | −0.213550 | − | 0.443442i | 0.766486 | − | 0.642261i | \(-0.222004\pi\) |
−0.980036 | + | 0.198819i | \(0.936289\pi\) | |||||||
\(642\) | 139648. | − | 43075.8i | 0.338817 | − | 0.104511i | ||||
\(643\) | 81625.9 | + | 357626.i | 0.197427 | + | 0.864983i | 0.972461 | + | 0.233064i | \(0.0748753\pi\) |
−0.775035 | + | 0.631919i | \(0.782268\pi\) | |||||||
\(644\) | − | 513278.i | − | 1.23760i | ||||||
\(645\) | 1.06800e6 | − | 410189.i | 2.56715 | − | 0.985972i | ||||
\(646\) | 833368. | 1.99697 | ||||||||
\(647\) | −295620. | + | 67473.3i | −0.706195 | + | 0.161184i | −0.560511 | − | 0.828147i | \(-0.689395\pi\) |
−0.145684 | + | 0.989331i | \(0.546538\pi\) | |||||||
\(648\) | 12440.0 | + | 40329.6i | 0.0296259 | + | 0.0960448i | ||||
\(649\) | 163767. | − | 78866.1i | 0.388810 | − | 0.187241i | ||||
\(650\) | 381280. | + | 149641.i | 0.902437 | + | 0.354180i | ||||
\(651\) | −453890. | − | 786161.i | −1.07100 | − | 1.85502i | ||||
\(652\) | −560340. | − | 323513.i | −1.31812 | − | 0.761020i | ||||
\(653\) | −171030. | + | 136392.i | −0.401094 | + | 0.319862i | −0.803176 | − | 0.595742i | \(-0.796858\pi\) |
0.402082 | + | 0.915604i | \(0.368287\pi\) | |||||||
\(654\) | 1.36259e6 | − | 928999.i | 3.18574 | − | 2.17200i | ||||
\(655\) | −81768.3 | − | 12324.6i | −0.190591 | − | 0.0287270i | ||||
\(656\) | −127906. | − | 61596.4i | −0.297224 | − | 0.143135i | ||||
\(657\) | −612320. | − | 659924.i | −1.41856 | − | 1.52884i | ||||
\(658\) | −820089. | + | 123608.i | −1.89413 | + | 0.285494i | ||||
\(659\) | 510654. | + | 157516.i | 1.17586 | + | 0.362705i | 0.820292 | − | 0.571945i | \(-0.193811\pi\) |
0.355569 | + | 0.934650i | \(0.384287\pi\) | |||||||
\(660\) | −92769.1 | + | 1.23792e6i | −0.212969 | + | 2.84187i | ||||
\(661\) | 382539. | − | 479689.i | 0.875535 | − | 1.09789i | −0.118939 | − | 0.992902i | \(-0.537949\pi\) |
0.994474 | − | 0.104984i | \(-0.0334792\pi\) | |||||||
\(662\) | −136697. | − | 348297.i | −0.311919 | − | 0.794757i | ||||
\(663\) | −314561. | + | 339016.i | −0.715612 | + | 0.771247i | ||||
\(664\) | 34326.1 | − | 50347.2i | 0.0778554 | − | 0.114193i | ||||
\(665\) | 418822. | − | 31386.4i | 0.947079 | − | 0.0709737i | ||||
\(666\) | −25086.1 | + | 109909.i | −0.0565568 | + | 0.247792i | ||||
\(667\) | −248834. | − | 56794.6i | −0.559316 | − | 0.127660i | ||||
\(668\) | −36550.6 | − | 487734.i | −0.0819109 | − | 1.09302i | ||||
\(669\) | −618406. | − | 421622.i | −1.38172 | − | 0.942044i | ||||
\(670\) | −157617. | − | 146247.i | −0.351118 | − | 0.325790i | ||||
\(671\) | −34054.6 | + | 13365.4i | −0.0756364 | + | 0.0296851i | ||||
\(672\) | 616981. | + | 492026.i | 1.36626 | + | 1.08956i | ||||
\(673\) | 48998.2 | + | 3671.90i | 0.108181 | + | 0.00810702i | 0.128710 | − | 0.991682i | \(-0.458916\pi\) |
−0.0205297 | + | 0.999789i | \(0.506535\pi\) | |||||||
\(674\) | 153150. | − | 496500.i | 0.337130 | − | 1.09295i | ||||
\(675\) | −139305. | − | 924229.i | −0.305745 | − | 2.02849i | ||||
\(676\) | −409010. | + | 379506.i | −0.895036 | + | 0.830472i | ||||
\(677\) | 228178. | − | 473817.i | 0.497848 | − | 1.03379i | −0.489021 | − | 0.872272i | \(-0.662646\pi\) |
0.986869 | − | 0.161521i | \(-0.0516399\pi\) | |||||||
\(678\) | 320994. | − | 2.12966e6i | 0.698293 | − | 4.63287i | ||||
\(679\) | −98434.6 | − | 144377.i | −0.213505 | − | 0.313154i | ||||
\(680\) | 535783. | + | 671851.i | 1.15870 | + | 1.45297i | ||||
\(681\) | −163261. | + | 282777.i | −0.352038 | + | 0.609748i | ||||
\(682\) | 748148. | − | 431943.i | 1.60849 | − | 0.928663i | ||||
\(683\) | −95687.6 | + | 243808.i | −0.205123 | + | 0.522645i | −0.996002 | − | 0.0893274i | \(-0.971528\pi\) |
0.790879 | + | 0.611972i | \(0.209624\pi\) | |||||||
\(684\) | 332524. | + | 690494.i | 0.710741 | + | 1.47587i | ||||
\(685\) | 488665. | − | 150733.i | 1.04143 | − | 0.321239i | ||||
\(686\) | 176143. | + | 771735.i | 0.374299 | + | 1.63991i | ||||
\(687\) | 33287.1i | 0.0705282i | ||||||||
\(688\) | 212923. | + | 50236.0i | 0.449827 | + | 0.106130i | ||||
\(689\) | 197257. | 0.415522 | ||||||||
\(690\) | −2.16818e6 | + | 494874.i | −4.55405 | + | 1.03943i | ||||
\(691\) | −128572. | − | 416822.i | −0.269272 | − | 0.872960i | −0.984698 | − | 0.174271i | \(-0.944243\pi\) |
0.715425 | − | 0.698689i | \(-0.246233\pi\) | |||||||
\(692\) | −208031. | + | 100182.i | −0.434426 | + | 0.209208i | ||||
\(693\) | −457995. | − | 179750.i | −0.953662 | − | 0.374285i | ||||
\(694\) | 562649. | + | 974537.i | 1.16820 | + | 2.02339i | ||||
\(695\) | −34796.1 | − | 20089.6i | −0.0720379 | − | 0.0415911i | ||||
\(696\) | −194175. | + | 154849.i | −0.400844 | + | 0.319662i | ||||
\(697\) | 530305. | − | 361556.i | 1.09159 | − | 0.744235i | ||||
\(698\) | −997873. | − | 150405.i | −2.04816 | − | 0.308711i | ||||
\(699\) | 191549. | + | 92245.1i | 0.392035 | + | 0.188794i | ||||
\(700\) | 679348. | + | 732163.i | 1.38642 | + | 1.49421i | ||||
\(701\) | −226679. | + | 34166.3i | −0.461291 | + | 0.0695284i | −0.375577 | − | 0.926791i | \(-0.622555\pi\) |
−0.0857141 | + | 0.996320i | \(0.527317\pi\) | |||||||
\(702\) | −285688. | − | 88123.2i | −0.579720 | − | 0.178820i | ||||
\(703\) | −2508.82 | + | 33477.9i | −0.00507644 | + | 0.0677404i | ||||
\(704\) | −361573. | + | 453399.i | −0.729543 | + | 0.914818i | ||||
\(705\) | 762974. | + | 1.94403e6i | 1.53508 | + | 3.91133i | ||||
\(706\) | −372824. | + | 401809.i | −0.747988 | + | 0.806140i | ||||
\(707\) | 44293.1 | − | 64966.1i | 0.0886130 | − | 0.129971i | ||||
\(708\) | 657428. | − | 49267.4i | 1.31154 | − | 0.0982863i | ||||
\(709\) | −10231.0 | + | 44825.0i | −0.0203529 | + | 0.0891719i | −0.984084 | − | 0.177702i | \(-0.943134\pi\) |
0.963731 | + | 0.266874i | \(0.0859908\pi\) | |||||||
\(710\) | −119952. | − | 27378.2i | −0.237952 | − | 0.0543110i | ||||
\(711\) | 49481.7 | + | 660287.i | 0.0978825 | + | 1.30615i | ||||
\(712\) | −250533. | − | 170811.i | −0.494203 | − | 0.336942i | ||||
\(713\) | 659340. | + | 611778.i | 1.29697 | + | 1.20341i | ||||
\(714\) | −1.80632e6 | + | 708929.i | −3.54322 | + | 1.39061i | ||||
\(715\) | −173414. | − | 138293.i | −0.339212 | − | 0.270513i | ||||
\(716\) | −515877. | − | 38659.6i | −1.00628 | − | 0.0754104i | ||||
\(717\) | −328046. | + | 1.06350e6i | −0.638111 | + | 2.06870i | ||||
\(718\) | 74192.7 | + | 492236.i | 0.143917 | + | 0.954827i | ||||
\(719\) | −72063.5 | + | 66865.1i | −0.139398 | + | 0.129343i | −0.746790 | − | 0.665059i | \(-0.768406\pi\) |
0.607392 | + | 0.794402i | \(0.292216\pi\) | |||||||
\(720\) | 294656. | − | 611859.i | 0.568395 | − | 1.18028i | ||||
\(721\) | 32006.3 | − | 212348.i | 0.0615694 | − | 0.408486i | ||||
\(722\) | −232528. | − | 341055.i | −0.446067 | − | 0.654260i | ||||
\(723\) | 343029. | + | 430145.i | 0.656227 | + | 0.822883i | ||||
\(724\) | −196284. | + | 339974.i | −0.374462 | + | 0.648587i | ||||
\(725\) | 430118. | − | 248329.i | 0.818298 | − | 0.472444i | ||||
\(726\) | −215842. | + | 549956.i | −0.409508 | + | 1.04341i | ||||
\(727\) | −180082. | − | 373943.i | −0.340722 | − | 0.707517i | 0.658252 | − | 0.752798i | \(-0.271296\pi\) |
−0.998974 | + | 0.0452806i | \(0.985582\pi\) | |||||||
\(728\) | 85275.2 | − | 26303.9i | 0.160901 | − | 0.0496315i | ||||
\(729\) | −186231. | − | 815932.i | −0.350427 | − | 1.53532i | ||||
\(730\) | − | 1.70285e6i | − | 3.19545i | ||||||
\(731\) | −678007. | + | 720105.i | −1.26882 | + | 1.34760i | ||||
\(732\) | −132688. | −0.247634 | ||||||||
\(733\) | −334107. | + | 76257.7i | −0.621838 | + | 0.141930i | −0.521821 | − | 0.853055i | \(-0.674747\pi\) |
−0.100017 | + | 0.994986i | \(0.531890\pi\) | |||||||
\(734\) | −330186. | − | 1.07044e6i | −0.612868 | − | 1.98687i | ||||
\(735\) | 457395. | − | 220270.i | 0.846675 | − | 0.407737i | ||||
\(736\) | −727853. | − | 285661.i | −1.34366 | − | 0.527346i | ||||
\(737\) | 37503.7 | + | 64958.4i | 0.0690461 | + | 0.119591i | ||||
\(738\) | 879553. | + | 507810.i | 1.61491 | + | 0.932371i | ||||
\(739\) | −608919. | + | 485597.i | −1.11499 | + | 0.889174i | −0.994624 | − | 0.103555i | \(-0.966978\pi\) |
−0.120366 | + | 0.992730i | \(0.538407\pi\) | |||||||
\(740\) | −102397. | + | 69813.3i | −0.186993 | + | 0.127490i | ||||
\(741\) | −215492. | − | 32480.2i | −0.392459 | − | 0.0591537i | ||||
\(742\) | 745695. | + | 359108.i | 1.35442 | + | 0.652254i | ||||
\(743\) | 412353. | + | 444411.i | 0.746951 | + | 0.805021i | 0.986134 | − | 0.165953i | \(-0.0530700\pi\) |
−0.239183 | + | 0.970975i | \(0.576880\pi\) | |||||||
\(744\) | 865446. | − | 130445.i | 1.56349 | − | 0.235658i | ||||
\(745\) | −900113. | − | 277648.i | −1.62175 | − | 0.500244i | ||||
\(746\) | −70596.9 | + | 942050.i | −0.126855 | + | 1.69276i | ||||
\(747\) | 135744. | − | 170217.i | 0.243264 | − | 0.305044i | ||||
\(748\) | −392085. | − | 999017.i | −0.700773 | − | 1.78554i | ||||
\(749\) | −43308.5 | + | 46675.5i | −0.0771986 | + | 0.0832003i | ||||
\(750\) | 1.09136e6 | − | 1.60073e6i | 1.94020 | − | 2.84575i | ||||
\(751\) | 352304. | − | 26401.5i | 0.624652 | − | 0.0468112i | 0.241356 | − | 0.970437i | \(-0.422408\pi\) |
0.383296 | + | 0.923626i | \(0.374789\pi\) | |||||||
\(752\) | −88862.4 | + | 389331.i | −0.157138 | + | 0.688468i | ||||
\(753\) | 111910. | + | 25542.7i | 0.197369 | + | 0.0450482i | ||||
\(754\) | −11872.0 | − | 158421.i | −0.0208824 | − | 0.278656i | ||||
\(755\) | 531135. | + | 362121.i | 0.931774 | + | 0.635273i | ||||
\(756\) | −534421. | − | 495870.i | −0.935061 | − | 0.867610i | ||||
\(757\) | 907035. | − | 355985.i | 1.58282 | − | 0.621212i | 0.599063 | − | 0.800702i | \(-0.295540\pi\) |
0.983760 | + | 0.179490i | \(0.0574447\pi\) | |||||||
\(758\) | −1.33730e6 | − | 1.06646e6i | −2.32751 | − | 1.85613i | ||||
\(759\) | 773650. | + | 57977.0i | 1.34295 | + | 0.100640i | ||||
\(760\) | −119356. | + | 386943.i | −0.206641 | + | 0.669915i | ||||
\(761\) | −76007.4 | − | 504276.i | −0.131246 | − | 0.870761i | −0.953446 | − | 0.301563i | \(-0.902492\pi\) |
0.822200 | − | 0.569198i | \(-0.192746\pi\) | |||||||
\(762\) | −70308.9 | + | 65237.1i | −0.121088 | + | 0.112353i | ||||
\(763\) | −311757. | + | 647370.i | −0.535509 | + | 1.11200i | ||||
\(764\) | −110051. | + | 730143.i | −0.188542 | + | 1.25090i | ||||
\(765\) | 1.72956e6 | + | 2.53680e6i | 2.95538 | + | 4.33474i | ||||
\(766\) | 294369. | + | 369127.i | 0.501689 | + | 0.629098i | ||||
\(767\) | −58897.4 | + | 102013.i | −0.100116 | + | 0.173407i | ||||
\(768\) | −121560. | + | 70182.7i | −0.206095 | + | 0.118989i | ||||
\(769\) | −191405. | + | 487693.i | −0.323669 | + | 0.824695i | 0.672728 | + | 0.739889i | \(0.265122\pi\) |
−0.996398 | + | 0.0848058i | \(0.972973\pi\) | |||||||
\(770\) | −403796. | − | 838491.i | −0.681052 | − | 1.41422i | ||||
\(771\) | −214485. | + | 66159.8i | −0.360818 | + | 0.111298i | ||||
\(772\) | −3235.97 | − | 14177.7i | −0.00542963 | − | 0.0237888i | ||||
\(773\) | 404530.i | 0.677006i | 0.940965 | + | 0.338503i | \(0.109920\pi\) | ||||
−0.940965 | + | 0.338503i | \(0.890080\pi\) | |||||||
\(774\) | −1.49214e6 | − | 472217.i | −2.49073 | − | 0.788242i | ||||
\(775\) | −1.75023e6 | −2.91401 | ||||||||
\(776\) | 164249. | − | 37488.7i | 0.272759 | − | 0.0622554i | ||||
\(777\) | −23041.1 | − | 74697.4i | −0.0381646 | − | 0.123727i | ||||
\(778\) | 1.34951e6 | − | 649891.i | 2.22955 | − | 1.07370i | ||||
\(779\) | 281536. | + | 110495.i | 0.463937 | + | 0.182082i | ||||
\(780\) | −402242. | − | 696703.i | −0.661147 | − | 1.14514i | ||||
\(781\) | 37170.7 | + | 21460.5i | 0.0609394 | + | 0.0351834i | ||||
\(782\) | 1.50318e6 | − | 1.19875e6i | 2.45809 | − | 1.96026i | ||||
\(783\) | −299528. | + | 204215.i | −0.488556 | + | 0.333092i | ||||
\(784\) | 95992.8 | + | 14468.6i | 0.156173 | + | 0.0235393i | ||||
\(785\) | −396315. | − | 190855.i | −0.643134 | − | 0.309717i | ||||
\(786\) | 122451. | + | 131971.i | 0.198207 | + | 0.213616i | ||||
\(787\) | −559791. | + | 84374.9i | −0.903809 | + | 0.136227i | −0.584472 | − | 0.811414i | \(-0.698698\pi\) |
−0.319337 | + | 0.947641i | \(0.603460\pi\) | |||||||
\(788\) | 17308.2 | + | 5338.88i | 0.0278741 | + | 0.00859801i | ||||
\(789\) | 150254. | − | 2.00500e6i | 0.241364 | − | 3.22078i | ||||
\(790\) | −780902. | + | 979220.i | −1.25125 | + | 1.56901i | ||||
\(791\) | 342822. | + | 873496.i | 0.547918 | + | 1.39607i | ||||
\(792\) | 322646. | − | 347730.i | 0.514371 | − | 0.554360i | ||||
\(793\) | 13355.2 | − | 19588.4i | 0.0212375 | − | 0.0311497i | ||||
\(794\) | −125482. | + | 9403.58i | −0.199040 | + | 0.0149160i | ||||
\(795\) | 463762. | − | 2.03187e6i | 0.733771 | − | 3.21486i | ||||
\(796\) | 1.26302e6 | + | 288276.i | 1.99335 | + | 0.454969i | ||||
\(797\) | 47781.8 | + | 637604.i | 0.0752222 | + | 1.00377i | 0.899311 | + | 0.437310i | \(0.144069\pi\) |
−0.824089 | + | 0.566460i | \(0.808312\pi\) | |||||||
\(798\) | −755497. | − | 515089.i | −1.18639 | − | 0.808866i | ||||
\(799\) | −1.32349e6 | − | 1.22802e6i | −2.07313 | − | 1.92358i | ||||
\(800\) | 1.41633e6 | − | 555868.i | 2.21301 | − | 0.868543i | ||||
\(801\) | −847020. | − | 675476.i | −1.32017 | − | 1.05280i | ||||
\(802\) | 1.67874e6 | + | 125804.i | 2.60997 | + | 0.195590i | ||||
\(803\) | −175096. | + | 567647.i | −0.271547 | + | 0.880333i | ||||
\(804\) | 40547.2 | + | 269013.i | 0.0627261 | + | 0.416161i | ||||
\(805\) | 710299. | − | 659061.i | 1.09610 | − | 1.01703i | ||||
\(806\) | −242907. | + | 504401.i | −0.373912 | + | 0.776436i | ||||
\(807\) | 200374. | − | 1.32939e6i | 0.307676 | − | 2.04130i | ||||
\(808\) | 42704.5 | + | 62636.0i | 0.0654110 | + | 0.0959403i | ||||
\(809\) | 432011. | + | 541725.i | 0.660082 | + | 0.827717i | 0.993352 | − | 0.115114i | \(-0.0367234\pi\) |
−0.333270 | + | 0.942831i | \(0.608152\pi\) | |||||||
\(810\) | −142616. | + | 247018.i | −0.217370 | + | 0.376495i | ||||
\(811\) | −118175. | + | 68228.2i | −0.179673 | + | 0.103734i | −0.587139 | − | 0.809486i | \(-0.699746\pi\) |
0.407466 | + | 0.913220i | \(0.366412\pi\) | |||||||
\(812\) | 141529. | − | 360611.i | 0.214652 | − | 0.546924i | ||||
\(813\) | 428918. | + | 890658.i | 0.648923 | + | 1.34750i | ||||
\(814\) | 71085.5 | − | 21927.0i | 0.107283 | − | 0.0330925i | ||||
\(815\) | −271797. | − | 1.19082e6i | −0.409195 | − | 1.79280i | ||||
\(816\) | 934356.i | 1.40324i | ||||||||
\(817\) | −460340. | − | 72825.2i | −0.689660 | − | 0.109103i | ||||
\(818\) | 1.78982e6 | 2.67488 | ||||||||
\(819\) | 310851. | − | 70949.6i | 0.463430 | − | 0.105775i | ||||
\(820\) | 329089. | + | 1.06688e6i | 0.489424 | + | 1.58667i | ||||
\(821\) | −1.18120e6 | + | 568834.i | −1.75241 | + | 0.843916i | −0.775178 | + | 0.631743i | \(0.782340\pi\) |
−0.977232 | + | 0.212173i | \(0.931946\pi\) | |||||||
\(822\) | −1.03638e6 | − | 406750.i | −1.53383 | − | 0.601983i | ||||
\(823\) | 58516.1 | + | 101353.i | 0.0863924 | + | 0.149636i | 0.905984 | − | 0.423313i | \(-0.139133\pi\) |
−0.819591 | + | 0.572949i | \(0.805799\pi\) | |||||||
\(824\) | 179306. | + | 103522.i | 0.264083 | + | 0.152468i | ||||
\(825\) | −1.18030e6 | + | 941261.i | −1.73415 | + | 1.38294i | ||||
\(826\) | −408367. | + | 278420.i | −0.598536 | + | 0.408075i | ||||
\(827\) | −951274. | − | 143381.i | −1.39090 | − | 0.209644i | −0.589495 | − | 0.807772i | \(-0.700673\pi\) |
−0.801400 | + | 0.598128i | \(0.795911\pi\) | |||||||
\(828\) | 1.59302e6 | + | 767157.i | 2.32359 | + | 1.11898i | ||||
\(829\) | −117958. | − | 127128.i | −0.171639 | − | 0.184983i | 0.641374 | − | 0.767228i | \(-0.278365\pi\) |
−0.813013 | + | 0.582245i | \(0.802174\pi\) | |||||||
\(830\) | 407221. | − | 61378.7i | 0.591118 | − | 0.0890967i | ||||
\(831\) | 773989. | + | 238744.i | 1.12081 | + | 0.345725i | ||||
\(832\) | 28084.8 | − | 374766.i | 0.0405719 | − | 0.541394i | ||||
\(833\) | −273643. | + | 343138.i | −0.394362 | + | 0.494514i | ||||
\(834\) | 31958.1 | + | 81427.8i | 0.0459461 | + | 0.117069i | ||||
\(835\) | 628017. | − | 676842.i | 0.900738 | − | 0.970765i | ||||
\(836\) | 284879. | − | 417840.i | 0.407613 | − | 0.597858i | ||||
\(837\) | 1.27396e6 | − | 95469.8i | 1.81846 | − | 0.136275i | ||||
\(838\) | −343089. | + | 1.50317e6i | −0.488561 | + | 2.14052i | ||||
\(839\) | 76258.8 | + | 17405.6i | 0.108334 | + | 0.0247266i | 0.276344 | − | 0.961059i | \(-0.410877\pi\) |
−0.168010 | + | 0.985785i | \(0.553734\pi\) | |||||||
\(840\) | −70460.5 | − | 940229.i | −0.0998589 | − | 1.33252i | ||||
\(841\) | 425222. | + | 289911.i | 0.601206 | + | 0.409895i | ||||
\(842\) | −375721. | − | 348618.i | −0.529957 | − | 0.491728i | ||||
\(843\) | 1.54755e6 | − | 607370.i | 2.17766 | − | 0.854669i | ||||
\(844\) | 309417. | + | 246752.i | 0.434369 | + | 0.346398i | ||||
\(845\) | −1.05036e6 | − | 78713.3i | −1.47103 | − | 0.110239i | ||||
\(846\) | 842089. | − | 2.72999e6i | 1.17657 | − | 3.81434i | ||||
\(847\) | −38364.4 | − | 254531.i | −0.0534764 | − | 0.354793i | ||||
\(848\) | 292142. | − | 271068.i | 0.406258 | − | 0.376953i | ||||
\(849\) | 43315.9 | − | 89946.4i | 0.0600941 | − | 0.124787i | ||||
\(850\) | −557606. | + | 3.69947e6i | −0.771773 | + | 5.12038i | ||||
\(851\) | 43630.5 | + | 63994.2i | 0.0602464 | + | 0.0883653i | ||||
\(852\) | 97061.3 | + | 121711.i | 0.133711 | + | 0.167668i | ||||
\(853\) | 107846. | − | 186795.i | 0.148220 | − | 0.256725i | −0.782350 | − | 0.622840i | \(-0.785979\pi\) |
0.930570 | + | 0.366115i | \(0.119312\pi\) | |||||||
\(854\) | 86147.6 | − | 49737.3i | 0.118121 | − | 0.0681972i | ||||
\(855\) | −528569. | + | 1.34677e6i | −0.723052 | + | 1.84231i | ||||
\(856\) | −26635.7 | − | 55309.7i | −0.0363511 | − | 0.0754838i | ||||
\(857\) | 382250. | − | 117909.i | 0.520458 | − | 0.160540i | −0.0233855 | − | 0.999727i | \(-0.507445\pi\) |
0.543844 | + | 0.839186i | \(0.316968\pi\) | |||||||
\(858\) | 107454. | + | 470787.i | 0.145965 | + | 0.639513i | ||||
\(859\) | − | 202100.i | − | 0.273892i | −0.990578 | − | 0.136946i | \(-0.956271\pi\) | ||
0.990578 | − | 0.136946i | \(-0.0437287\pi\) | |||||||
\(860\) | −849353. | − | 1.49624e6i | −1.14840 | − | 2.02304i | ||||
\(861\) | −704223. | −0.949957 | ||||||||
\(862\) | 825605. | − | 188439.i | 1.11111 | − | 0.253604i | ||||
\(863\) | 160387. | + | 519962.i | 0.215351 | + | 0.698152i | 0.997207 | + | 0.0746920i | \(0.0237974\pi\) |
−0.781855 | + | 0.623460i | \(0.785726\pi\) | |||||||
\(864\) | −1.00060e6 | + | 481861.i | −1.34039 | + | 0.645497i | ||||
\(865\) | −405753. | − | 159246.i | −0.542288 | − | 0.212832i | ||||
\(866\) | −514094. | − | 890436.i | −0.685498 | − | 1.18732i | ||||
\(867\) | −2.59049e6 | − | 1.49562e6i | −3.44622 | − | 1.98968i | ||||
\(868\) | −1.06733e6 | + | 851168.i | −1.41664 | + | 1.12973i | ||||
\(869\) | 361002. | − | 246127.i | 0.478046 | − | 0.325926i | ||||
\(870\) | −1.65974e6 | − | 250166.i | −2.19282 | − | 0.330514i | ||||
\(871\) | −43794.9 | − | 21090.5i | −0.0577281 | − | 0.0278004i | ||||
\(872\) | −471194. | − | 507826.i | −0.619678 | − | 0.667855i | ||||
\(873\) | 595213. | − | 89713.9i | 0.780987 | − | 0.117715i | ||||
\(874\) | 865734. | + | 267044.i | 1.13334 | + | 0.349590i | ||||
\(875\) | −63080.0 | + | 841744.i | −0.0823902 | + | 1.09942i | ||||
\(876\) | −1.34335e6 | + | 1.68451e6i | −1.75058 | + | 2.19516i | ||||
\(877\) | 260276. | + | 663172.i | 0.338403 | + | 0.862238i | 0.994224 | + | 0.107321i | \(0.0342274\pi\) |
−0.655821 | + | 0.754916i | \(0.727677\pi\) | |||||||
\(878\) | 504894. | − | 544146.i | 0.654954 | − | 0.705873i | ||||
\(879\) | −885339. | + | 1.29855e6i | −1.14586 | + | 1.68067i | ||||
\(880\) | −446869. | + | 33488.2i | −0.577052 | + | 0.0432441i | ||||
\(881\) | 148044. | − | 648624.i | 0.190739 | − | 0.835682i | −0.785479 | − | 0.618889i | \(-0.787583\pi\) |
0.976218 | − | 0.216793i | \(-0.0695597\pi\) | |||||||
\(882\) | −677079. | − | 154539.i | −0.870366 | − | 0.198655i | ||||
\(883\) | 92359.2 | + | 1.23245e6i | 0.118456 | + | 1.58069i | 0.667315 | + | 0.744776i | \(0.267443\pi\) |
−0.548859 | + | 0.835915i | \(0.684937\pi\) | |||||||
\(884\) | 574641. | + | 391784.i | 0.735347 | + | 0.501351i | ||||
\(885\) | 912330. | + | 846519.i | 1.16484 | + | 1.08081i | ||||
\(886\) | −616006. | + | 241765.i | −0.784725 | + | 0.307982i | ||||
\(887\) | −200449. | − | 159853.i | −0.254775 | − | 0.203176i | 0.487770 | − | 0.872972i | \(-0.337810\pi\) |
−0.742546 | + | 0.669796i | \(0.766382\pi\) | |||||||
\(888\) | 75155.9 | + | 5632.15i | 0.0953097 | + | 0.00714247i | ||||
\(889\) | 12317.4 | − | 39932.1i | 0.0155853 | − | 0.0505264i | ||||
\(890\) | −305428. | − | 2.02638e6i | −0.385592 | − | 2.55824i | ||||
\(891\) | 72940.7 | − | 67679.1i | 0.0918787 | − | 0.0852509i | ||||
\(892\) | −488368. | + | 1.01411e6i | −0.613786 | + | 1.27454i | ||||
\(893\) | 126800. | − | 841261.i | 0.159007 | − | 1.05494i | ||||
\(894\) | 1.15523e6 | + | 1.69442e6i | 1.44542 | + | 2.12005i | ||||
\(895\) | −608898. | − | 763534.i | −0.760149 | − | 0.953196i | ||||
\(896\) | 360799. | − | 624922.i | 0.449416 | − | 0.778412i | ||||
\(897\) | −435412. | + | 251385.i | −0.541147 | + | 0.312431i | ||||
\(898\) | 859627. | − | 2.19029e6i | 1.06600 | − | 2.71612i | ||||
\(899\) | 294539. | + | 611617.i | 0.364438 | + | 0.756763i | ||||
\(900\) | −3.28772e6 | + | 1.01413e6i | −4.05891 | + | 1.25201i | ||||
\(901\) | 400930. | + | 1.75659e6i | 0.493878 | + | 2.16382i | ||||
\(902\) | − | 670172.i | − | 0.823708i | ||||||
\(903\) | 1.05974e6 | − | 233754.i | 1.29964 | − | 0.286670i | ||||
\(904\) | −904706. | −1.10706 | ||||||||
\(905\) | −722504. | + | 164907.i | −0.882151 | + | 0.201345i | ||||
\(906\) | −412517. | − | 1.33735e6i | −0.502557 | − | 1.62925i | ||||
\(907\) | 606840. | − | 292239.i | 0.737665 | − | 0.355241i | −0.0270285 | − | 0.999635i | \(-0.508604\pi\) |
0.764694 | + | 0.644394i | \(0.222890\pi\) | |||||||
\(908\) | 457099. | + | 179398.i | 0.554419 | + | 0.217593i | ||||
\(909\) | 135428. | + | 234568.i | 0.163901 | + | 0.283885i | ||||
\(910\) | 522310. | + | 301556.i | 0.630733 | + | 0.364154i | ||||
\(911\) | 869360. | − | 693292.i | 1.04752 | − | 0.835371i | 0.0608586 | − | 0.998146i | \(-0.480616\pi\) |
0.986663 | + | 0.162776i | \(0.0520447\pi\) | |||||||
\(912\) | −363782. | + | 248022.i | −0.437372 | + | 0.298195i | ||||
\(913\) | −142058. | − | 21411.9i | −0.170422 | − | 0.0256870i | ||||
\(914\) | 6970.95 | + | 3357.03i | 0.00834448 | + | 0.00401849i | ||||
\(915\) | −170374. | − | 183620.i | −0.203499 | − | 0.219320i | ||||
\(916\) | 49499.8 | − | 7460.90i | 0.0589947 | − | 0.00889202i | ||||
\(917\) | −74953.3 | − | 23120.0i | −0.0891358 | − | 0.0274948i | ||||
\(918\) | 204075. | − | 2.72319e6i | 0.242161 | − | 3.23141i | ||||
\(919\) | 288792. | − | 362134.i | 0.341943 | − | 0.428783i | −0.580890 | − | 0.813982i | \(-0.697296\pi\) |
0.922834 | + | 0.385198i | \(0.125867\pi\) | |||||||
\(920\) | 341305. | + | 869630.i | 0.403243 | + | 1.02745i | ||||
\(921\) | 656547. | − | 707590.i | 0.774010 | − | 0.834185i | ||||
\(922\) | −804077. | + | 1.17936e6i | −0.945879 | + | 1.38735i | ||||
\(923\) | −27737.2 | + | 2078.62i | −0.0325581 | + | 0.00243990i | ||||
\(924\) | −262025. | + | 1.14801e6i | −0.306901 | + | 1.34462i | ||||
\(925\) | −146936. | − | 33537.2i | −0.171729 | − | 0.0391961i | ||||
\(926\) | 13006.1 | + | 173554.i | 0.0151679 | + | 0.202402i | ||||
\(927\) | 611209. | + | 416715.i | 0.711263 | + | 0.484931i | ||||
\(928\) | −432596. | − | 401391.i | −0.502327 | − | 0.466092i | ||||
\(929\) | −26819.5 | + | 10525.9i | −0.0310756 | + | 0.0121963i | −0.380828 | − | 0.924646i | \(-0.624361\pi\) |
0.349752 | + | 0.936842i | \(0.386266\pi\) | |||||||
\(930\) | 4.62456e6 | + | 3.68796e6i | 5.34693 | + | 4.26403i | ||||
\(931\) | −206235. | − | 15455.2i | −0.237938 | − | 0.0178310i | ||||
\(932\) | 94240.3 | − | 305520.i | 0.108494 | − | 0.351728i | ||||
\(933\) | 302520. | + | 2.00709e6i | 0.347529 | + | 2.30570i | ||||
\(934\) | −1.29919e6 | + | 1.20547e6i | −1.48929 | + | 1.38186i | ||||
\(935\) | 879040. | − | 1.82535e6i | 1.00551 | − | 2.08796i | ||||
\(936\) | −45816.9 | + | 303976.i | −0.0522967 | + | 0.346966i | ||||
\(937\) | −424188. | − | 622170.i | −0.483147 | − | 0.708647i | 0.504835 | − | 0.863216i | \(-0.331553\pi\) |
−0.987982 | + | 0.154569i | \(0.950601\pi\) | |||||||
\(938\) | −127163. | − | 159458.i | −0.144529 | − | 0.181234i | ||||
\(939\) | 1.13834e6 | − | 1.97166e6i | 1.29104 | − | 2.23614i | ||||
\(940\) | 2.71987e6 | − | 1.57032e6i | 3.07816 | − | 1.77718i | ||||
\(941\) | 405992. | − | 1.03445e6i | 0.458498 | − | 1.16823i | −0.495549 | − | 0.868580i | \(-0.665033\pi\) |
0.954048 | − | 0.299655i | \(-0.0968715\pi\) | |||||||
\(942\) | 415514. | + | 862824.i | 0.468257 | + | 0.972345i | ||||
\(943\) | 666757. | − | 205667.i | 0.749798 | − | 0.231282i | ||||
\(944\) | 52957.0 | + | 232020.i | 0.0594264 | + | 0.260364i | ||||
\(945\) | − | 1.37627e6i | − | 1.54113i | ||||||
\(946\) | 222451. | + | 1.00849e6i | 0.248572 | + | 1.12692i | ||||
\(947\) | −863695. | −0.963076 | −0.481538 | − | 0.876425i | \(-0.659922\pi\) | ||||
−0.481538 | + | 0.876425i | \(0.659922\pi\) | |||||||
\(948\) | 1.54498e6 | − | 352632.i | 1.71912 | − | 0.392378i | ||||
\(949\) | −113471. | − | 367864.i | −0.125995 | − | 0.408465i | ||||
\(950\) | −1.58837e6 | + | 764917.i | −1.75996 | + | 0.847553i | ||||
\(951\) | 499430. | + | 196012.i | 0.552221 | + | 0.216731i | ||||
\(952\) | 407562. | + | 705919.i | 0.449697 | + | 0.778898i | ||||
\(953\) | 609467. | + | 351876.i | 0.671065 | + | 0.387440i | 0.796480 | − | 0.604665i | \(-0.206693\pi\) |
−0.125415 | + | 0.992104i | \(0.540026\pi\) | |||||||
\(954\) | −2.22906e6 | + | 1.77762e6i | −2.44921 | + | 1.95318i | ||||
\(955\) | −1.15171e6 | + | 785226.i | −1.26281 | + | 0.860970i | ||||
\(956\) | 1.65501e6 | + | 249452.i | 1.81086 | + | 0.272943i | ||||
\(957\) | 527552. | + | 254056.i | 0.576025 | + | 0.277399i | ||||
\(958\) | −535794. | − | 577448.i | −0.583804 | − | 0.629191i | ||||
\(959\) | 479660. | − | 72297.2i | 0.521551 | − | 0.0786111i | ||||
\(960\) | −3.79429e6 | − | 1.17038e6i | −4.11707 | − | 1.26995i | ||||
\(961\) | 109759. | − | 1.46463e6i | 0.118848 | − | 1.58592i | ||||
\(962\) | −30057.7 | + | 37691.2i | −0.0324792 | + | 0.0407277i | ||||
\(963\) | −80132.8 | − | 204175.i | −0.0864088 | − | 0.220166i | ||||
\(964\) | 562764. | − | 606515.i | 0.605581 | − | 0.652661i | ||||
\(965\) | 15464.7 | − | 22682.6i | 0.0166069 | − | 0.0243578i | ||||
\(966\) | −2.10364e6 | + | 157646.i | −2.25433 | + | 0.168939i | ||||
\(967\) | 202320. | − | 886423.i | 0.216365 | − | 0.947956i | −0.743774 | − | 0.668431i | \(-0.766966\pi\) |
0.960139 | − | 0.279524i | \(-0.0901768\pi\) | |||||||
\(968\) | 241952. | + | 55224.0i | 0.258213 | + | 0.0589355i | ||||
\(969\) | −148754. | − | 1.98499e6i | −0.158424 | − | 2.11403i | ||||
\(970\) | 940750. | + | 641392.i | 0.999840 | + | 0.681680i | ||||
\(971\) | 494970. | + | 459265.i | 0.524977 | + | 0.487108i | 0.897561 | − | 0.440891i | \(-0.145337\pi\) |
−0.372583 | + | 0.927999i | \(0.621528\pi\) | |||||||
\(972\) | −1.04674e6 | + | 410816.i | −1.10792 | + | 0.434825i | ||||
\(973\) | −29797.3 | − | 23762.6i | −0.0314740 | − | 0.0250997i | ||||
\(974\) | −1.80592e6 | − | 135335.i | −1.90362 | − | 0.142656i | ||||
\(975\) | 288371. | − | 934875.i | 0.303349 | − | 0.983432i | ||||
\(976\) | −7138.88 | − | 47363.4i | −0.00749429 | − | 0.0497213i | ||||
\(977\) | −322029. | + | 298799.i | −0.337370 | + | 0.313033i | −0.830604 | − | 0.556863i | \(-0.812005\pi\) |
0.493235 | + | 0.869896i | \(0.335814\pi\) | |||||||
\(978\) | −1.15380e6 | + | 2.39588e6i | −1.20629 | + | 2.50489i | ||||
\(979\) | −106548. | + | 706899.i | −0.111168 | + | 0.737551i | ||||
\(980\) | −430073. | − | 630801.i | −0.447806 | − | 0.656811i | ||||
\(981\) | −1.54323e6 | − | 1.93515e6i | −1.60358 | − | 2.01083i | ||||
\(982\) | 1.18730e6 | − | 2.05646e6i | 1.23122 | − | 2.13254i | ||||
\(983\) | 482670. | − | 278670.i | 0.499509 | − | 0.288392i | −0.229002 | − | 0.973426i | \(-0.573546\pi\) |
0.728511 | + | 0.685034i | \(0.240213\pi\) | |||||||
\(984\) | 248054. | − | 632031.i | 0.256186 | − | 0.652752i | ||||
\(985\) | 14836.0 | + | 30807.2i | 0.0152913 | + | 0.0317526i | ||||
\(986\) | 1.38662e6 | − | 427715.i | 1.42627 | − | 0.439947i | ||||
\(987\) | 440805. | + | 1.93129e6i | 0.452493 | + | 1.98250i | ||||
\(988\) | 327728.i | 0.335738i | ||||||||
\(989\) | −935089. | + | 530812.i | −0.956005 | + | 0.542685i | ||||
\(990\) | 3.20587e6 | 3.27097 | ||||||||
\(991\) | 815528. | − | 186139.i | 0.830408 | − | 0.189535i | 0.213872 | − | 0.976862i | \(-0.431392\pi\) |
0.616536 | + | 0.787326i | \(0.288535\pi\) | |||||||
\(992\) | 612981. | + | 1.98724e6i | 0.622908 | + | 2.01942i | ||||
\(993\) | −805204. | + | 387766.i | −0.816597 | + | 0.393252i | ||||
\(994\) | −108640. | − | 42637.9i | −0.109955 | − | 0.0431542i | ||||
\(995\) | 1.22281e6 | + | 2.11798e6i | 1.23513 | + | 2.13932i | ||||
\(996\) | −451255. | − | 260532.i | −0.454887 | − | 0.262629i | ||||
\(997\) | 1.12269e6 | − | 895313.i | 1.12945 | − | 0.900709i | 0.133542 | − | 0.991043i | \(-0.457365\pi\) |
0.995912 | + | 0.0903337i | \(0.0287934\pi\) | |||||||
\(998\) | −1.21381e6 | + | 827563.i | −1.21868 | + | 0.830883i | ||||
\(999\) | 108781. | + | 16396.1i | 0.108999 | + | 0.0164289i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 43.5.h.a.26.3 | yes | 168 | |
43.5 | odd | 42 | inner | 43.5.h.a.5.3 | ✓ | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.5.h.a.5.3 | ✓ | 168 | 43.5 | odd | 42 | inner | |
43.5.h.a.26.3 | yes | 168 | 1.1 | even | 1 | trivial |