Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [128,5,Mod(3,128)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(128, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([16, 3]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("128.3");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 128 = 2^{7} \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 128.l (of order \(32\), degree \(16\), 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: | \(13.2313552747\) |
Analytic rank: | \(0\) |
Dimension: | \(1008\) |
Relative dimension: | \(63\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 3.13 | ||
Character | \(\chi\) | \(=\) | 128.3 |
Dual form | 128.5.l.a.43.13 |
$q$-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 \(\left(\mathbb{Z}/128\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{32}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.25888 | − | 2.31942i | −0.814720 | − | 0.579854i | ||||
\(3\) | 5.81494 | − | 4.77220i | 0.646105 | − | 0.530244i | −0.253285 | − | 0.967392i | \(-0.581511\pi\) |
0.899390 | + | 0.437147i | \(0.144011\pi\) | |||||||
\(4\) | 5.24061 | + | 15.1174i | 0.327538 | + | 0.944838i | ||||
\(5\) | −28.0812 | − | 8.51835i | −1.12325 | − | 0.340734i | −0.326592 | − | 0.945165i | \(-0.605900\pi\) |
−0.796657 | + | 0.604431i | \(0.793400\pi\) | |||||||
\(6\) | −30.0189 | + | 2.06475i | −0.833859 | + | 0.0573543i | ||||
\(7\) | −9.11012 | − | 45.7997i | −0.185921 | − | 0.934687i | −0.955242 | − | 0.295825i | \(-0.904405\pi\) |
0.769321 | − | 0.638862i | \(-0.220595\pi\) | |||||||
\(8\) | 17.9850 | − | 61.4210i | 0.281016 | − | 0.959703i | ||||
\(9\) | −4.76266 | + | 23.9435i | −0.0587982 | + | 0.295599i | ||||
\(10\) | 71.7558 | + | 92.8924i | 0.717558 | + | 0.928924i | ||||
\(11\) | 10.5016 | + | 106.624i | 0.0867900 | + | 0.881194i | 0.935733 | + | 0.352709i | \(0.114740\pi\) |
−0.848943 | + | 0.528485i | \(0.822760\pi\) | |||||||
\(12\) | 102.617 | + | 62.8976i | 0.712619 | + | 0.436789i | ||||
\(13\) | −38.7544 | − | 127.756i | −0.229316 | − | 0.755953i | −0.993787 | − | 0.111295i | \(-0.964500\pi\) |
0.764472 | − | 0.644657i | \(-0.223000\pi\) | |||||||
\(14\) | −76.5398 | + | 170.386i | −0.390509 | + | 0.869316i | ||||
\(15\) | −203.942 | + | 84.4756i | −0.906409 | + | 0.375447i | ||||
\(16\) | −201.072 | + | 158.449i | −0.785438 | + | 0.618941i | ||||
\(17\) | −6.00675 | + | 14.5016i | −0.0207846 | + | 0.0501785i | −0.933931 | − | 0.357453i | \(-0.883645\pi\) |
0.913146 | + | 0.407632i | \(0.133645\pi\) | |||||||
\(18\) | 71.0559 | − | 66.9824i | 0.219308 | − | 0.206736i | ||||
\(19\) | −152.343 | + | 285.014i | −0.422004 | + | 0.789513i | −0.999641 | − | 0.0267801i | \(-0.991475\pi\) |
0.577638 | + | 0.816293i | \(0.303975\pi\) | |||||||
\(20\) | −18.3874 | − | 469.157i | −0.0459686 | − | 1.17289i | ||||
\(21\) | −271.540 | − | 222.847i | −0.615737 | − | 0.505322i | ||||
\(22\) | 213.083 | − | 371.834i | 0.440254 | − | 0.768252i | ||||
\(23\) | −337.725 | + | 225.661i | −0.638422 | + | 0.426580i | −0.832208 | − | 0.554464i | \(-0.812923\pi\) |
0.193786 | + | 0.981044i | \(0.437923\pi\) | |||||||
\(24\) | −188.531 | − | 442.988i | −0.327311 | − | 0.769076i | ||||
\(25\) | 196.325 | + | 131.180i | 0.314121 | + | 0.209889i | ||||
\(26\) | −170.024 | + | 506.229i | −0.251514 | + | 0.748860i | ||||
\(27\) | 373.800 | + | 699.330i | 0.512757 | + | 0.959301i | ||||
\(28\) | 644.630 | − | 377.740i | 0.822232 | − | 0.481811i | ||||
\(29\) | −41.6767 | + | 423.151i | −0.0495561 | + | 0.503152i | 0.938083 | + | 0.346410i | \(0.112599\pi\) |
−0.987640 | + | 0.156742i | \(0.949901\pi\) | |||||||
\(30\) | 860.557 | + | 197.731i | 0.956174 | + | 0.219701i | ||||
\(31\) | 473.001 | + | 473.001i | 0.492196 | + | 0.492196i | 0.908998 | − | 0.416801i | \(-0.136849\pi\) |
−0.416801 | + | 0.908998i | \(0.636849\pi\) | |||||||
\(32\) | 1022.78 | − | 49.9961i | 0.998807 | − | 0.0488243i | ||||
\(33\) | 569.899 | + | 569.899i | 0.523323 | + | 0.523323i | ||||
\(34\) | 53.2105 | − | 33.3268i | 0.0460299 | − | 0.0288294i | ||||
\(35\) | −134.314 | + | 1363.72i | −0.109644 | + | 1.11324i | ||||
\(36\) | −386.923 | + | 53.4795i | −0.298552 | + | 0.0412650i | ||||
\(37\) | 362.939 | + | 679.011i | 0.265112 | + | 0.495990i | 0.978892 | − | 0.204381i | \(-0.0655180\pi\) |
−0.713779 | + | 0.700371i | \(0.753018\pi\) | |||||||
\(38\) | 1157.54 | − | 575.480i | 0.801617 | − | 0.398532i | ||||
\(39\) | −835.032 | − | 557.950i | −0.549002 | − | 0.366831i | ||||
\(40\) | −1028.25 | + | 1571.57i | −0.642655 | + | 0.982234i | ||||
\(41\) | −2612.46 | + | 1745.59i | −1.55411 | + | 1.03842i | −0.579374 | + | 0.815062i | \(0.696703\pi\) |
−0.974736 | + | 0.223361i | \(0.928297\pi\) | |||||||
\(42\) | 368.041 | + | 1356.05i | 0.208640 | + | 0.768734i | ||||
\(43\) | 656.216 | + | 538.542i | 0.354903 | + | 0.291261i | 0.794903 | − | 0.606736i | \(-0.207522\pi\) |
−0.440000 | + | 0.897998i | \(0.645022\pi\) | |||||||
\(44\) | −1556.85 | + | 717.534i | −0.804158 | + | 0.370627i | ||||
\(45\) | 337.700 | − | 631.793i | 0.166766 | − | 0.311997i | ||||
\(46\) | 1624.01 | + | 47.9240i | 0.767490 | + | 0.0226484i | ||||
\(47\) | −257.793 | + | 622.369i | −0.116701 | + | 0.281742i | −0.971427 | − | 0.237338i | \(-0.923725\pi\) |
0.854726 | + | 0.519080i | \(0.173725\pi\) | |||||||
\(48\) | −413.072 | + | 1880.93i | −0.179285 | + | 0.816374i | ||||
\(49\) | 203.618 | − | 84.3415i | 0.0848057 | − | 0.0351277i | ||||
\(50\) | −335.539 | − | 882.862i | −0.134216 | − | 0.353145i | ||||
\(51\) | 34.2755 | + | 112.991i | 0.0131778 | + | 0.0434415i | ||||
\(52\) | 1728.24 | − | 1255.39i | 0.639143 | − | 0.464270i | ||||
\(53\) | −7.55794 | − | 76.7370i | −0.00269062 | − | 0.0273183i | 0.993746 | − | 0.111667i | \(-0.0356190\pi\) |
−0.996436 | + | 0.0843488i | \(0.973119\pi\) | |||||||
\(54\) | 403.869 | − | 3146.03i | 0.138501 | − | 1.07889i | ||||
\(55\) | 613.367 | − | 3083.60i | 0.202766 | − | 1.01937i | ||||
\(56\) | −2976.91 | − | 264.157i | −0.949269 | − | 0.0842337i | ||||
\(57\) | 474.277 | + | 2384.35i | 0.145976 | + | 0.733873i | ||||
\(58\) | 1117.28 | − | 1282.33i | 0.332129 | − | 0.381193i | ||||
\(59\) | −3068.41 | − | 930.793i | −0.881475 | − | 0.267392i | −0.183074 | − | 0.983099i | \(-0.558605\pi\) |
−0.698401 | + | 0.715707i | \(0.746105\pi\) | |||||||
\(60\) | −2345.83 | − | 2640.37i | −0.651620 | − | 0.733437i | ||||
\(61\) | 4084.19 | − | 3351.81i | 1.09761 | − | 0.900782i | 0.102033 | − | 0.994781i | \(-0.467465\pi\) |
0.995572 | + | 0.0939995i | \(0.0299652\pi\) | |||||||
\(62\) | −444.367 | − | 2638.54i | −0.115600 | − | 0.686404i | ||||
\(63\) | 1139.99 | 0.287224 | ||||||||
\(64\) | −3449.08 | − | 2209.32i | −0.842060 | − | 0.539385i | ||||
\(65\) | 3917.67i | 0.927259i | ||||||||
\(66\) | −535.400 | − | 3179.07i | −0.122911 | − | 0.729814i | ||||
\(67\) | −3060.68 | − | 3729.45i | −0.681817 | − | 0.830797i | 0.311003 | − | 0.950409i | \(-0.399335\pi\) |
−0.992821 | + | 0.119612i | \(0.961835\pi\) | |||||||
\(68\) | −250.705 | − | 14.8094i | −0.0542183 | − | 0.00320272i | ||||
\(69\) | −886.954 | + | 2923.90i | −0.186296 | + | 0.614135i | ||||
\(70\) | 3600.74 | − | 4132.65i | 0.734844 | − | 0.843399i | ||||
\(71\) | −4930.33 | + | 980.704i | −0.978046 | + | 0.194546i | −0.658133 | − | 0.752901i | \(-0.728654\pi\) |
−0.319913 | + | 0.947447i | \(0.603654\pi\) | |||||||
\(72\) | 1384.98 | + | 723.152i | 0.267164 | + | 0.139497i | ||||
\(73\) | −2587.62 | − | 514.709i | −0.485573 | − | 0.0965865i | −0.0537680 | − | 0.998553i | \(-0.517123\pi\) |
−0.431805 | + | 0.901967i | \(0.642123\pi\) | |||||||
\(74\) | 392.135 | − | 3054.62i | 0.0716097 | − | 0.557820i | ||||
\(75\) | 1767.64 | − | 174.097i | 0.314247 | − | 0.0309506i | ||||
\(76\) | −5107.05 | − | 809.387i | −0.884184 | − | 0.140129i | ||||
\(77\) | 4787.70 | − | 1452.33i | 0.807505 | − | 0.244954i | ||||
\(78\) | 1427.15 | + | 3755.08i | 0.234574 | + | 0.617206i | ||||
\(79\) | −2880.93 | − | 6955.17i | −0.461613 | − | 1.11443i | −0.967735 | − | 0.251970i | \(-0.918922\pi\) |
0.506122 | − | 0.862462i | \(-0.331078\pi\) | |||||||
\(80\) | 6996.08 | − | 2736.64i | 1.09314 | − | 0.427600i | ||||
\(81\) | 3684.07 | + | 1525.99i | 0.561510 | + | 0.232585i | ||||
\(82\) | 12562.4 | + | 370.714i | 1.86830 | + | 0.0551330i | ||||
\(83\) | −7599.60 | − | 4062.07i | −1.10315 | − | 0.589646i | −0.183751 | − | 0.982973i | \(-0.558824\pi\) |
−0.919399 | + | 0.393327i | \(0.871324\pi\) | |||||||
\(84\) | 1945.84 | − | 5272.84i | 0.275770 | − | 0.747284i | ||||
\(85\) | 292.207 | − | 356.055i | 0.0404438 | − | 0.0492810i | ||||
\(86\) | −889.425 | − | 3277.08i | −0.120258 | − | 0.443089i | ||||
\(87\) | 1777.01 | + | 2659.49i | 0.234775 | + | 0.351366i | ||||
\(88\) | 6737.85 | + | 1272.63i | 0.870074 | + | 0.164337i | ||||
\(89\) | −7667.51 | + | 11475.2i | −0.967998 | + | 1.44871i | −0.0757710 | + | 0.997125i | \(0.524142\pi\) |
−0.892227 | + | 0.451587i | \(0.850858\pi\) | |||||||
\(90\) | −2565.92 | + | 1275.67i | −0.316780 | + | 0.157490i | ||||
\(91\) | −5498.13 | + | 2938.81i | −0.663945 | + | 0.354886i | ||||
\(92\) | −5181.29 | − | 3922.93i | −0.612157 | − | 0.463484i | ||||
\(93\) | 5007.72 | + | 493.218i | 0.578995 | + | 0.0570260i | ||||
\(94\) | 2283.65 | − | 1430.29i | 0.258448 | − | 0.161871i | ||||
\(95\) | 6705.84 | − | 6705.84i | 0.743029 | − | 0.743029i | ||||
\(96\) | 5708.81 | − | 5171.63i | 0.619445 | − | 0.561158i | ||||
\(97\) | −4107.13 | + | 4107.13i | −0.436511 | + | 0.436511i | −0.890836 | − | 0.454325i | \(-0.849880\pi\) |
0.454325 | + | 0.890836i | \(0.349880\pi\) | |||||||
\(98\) | −859.191 | − | 197.417i | −0.0894618 | − | 0.0205557i | ||||
\(99\) | −2602.98 | − | 256.371i | −0.265583 | − | 0.0261576i | ||||
\(100\) | −954.243 | + | 3655.40i | −0.0954243 | + | 0.365540i | ||||
\(101\) | −14239.6 | + | 7611.21i | −1.39590 | + | 0.746124i | −0.986116 | − | 0.166059i | \(-0.946896\pi\) |
−0.409784 | + | 0.912183i | \(0.634396\pi\) | |||||||
\(102\) | 150.374 | − | 447.724i | 0.0144535 | − | 0.0430339i | ||||
\(103\) | −2020.40 | + | 3023.74i | −0.190442 | + | 0.285017i | −0.914387 | − | 0.404841i | \(-0.867327\pi\) |
0.723945 | + | 0.689858i | \(0.242327\pi\) | |||||||
\(104\) | −8543.90 | + | 82.6332i | −0.789932 | + | 0.00763990i | ||||
\(105\) | 5726.89 | + | 8570.90i | 0.519446 | + | 0.777406i | ||||
\(106\) | −153.355 | + | 267.607i | −0.0136485 | + | 0.0238169i | ||||
\(107\) | 10348.7 | − | 12609.9i | 0.903895 | − | 1.10140i | −0.0905243 | − | 0.995894i | \(-0.528854\pi\) |
0.994419 | − | 0.105504i | \(-0.0336457\pi\) | |||||||
\(108\) | −8613.12 | + | 9315.80i | −0.738436 | + | 0.798680i | ||||
\(109\) | −4344.94 | − | 2322.42i | −0.365705 | − | 0.195473i | 0.278301 | − | 0.960494i | \(-0.410229\pi\) |
−0.644006 | + | 0.765021i | \(0.722729\pi\) | |||||||
\(110\) | −9151.05 | + | 8626.44i | −0.756285 | + | 0.712929i | ||||
\(111\) | 5350.84 | + | 2216.39i | 0.434286 | + | 0.179887i | ||||
\(112\) | 9088.70 | + | 7765.55i | 0.724545 | + | 0.619065i | ||||
\(113\) | −4196.32 | − | 10130.8i | −0.328633 | − | 0.793391i | −0.998694 | − | 0.0510849i | \(-0.983732\pi\) |
0.670061 | − | 0.742306i | \(-0.266268\pi\) | |||||||
\(114\) | 3984.70 | − | 8870.37i | 0.306609 | − | 0.682546i | ||||
\(115\) | 11406.0 | − | 3459.97i | 0.862458 | − | 0.261624i | ||||
\(116\) | −6615.35 | + | 1587.52i | −0.491629 | + | 0.117979i | ||||
\(117\) | 3243.50 | − | 319.457i | 0.236942 | − | 0.0233368i | ||||
\(118\) | 7840.70 | + | 10150.3i | 0.563107 | + | 0.728977i | ||||
\(119\) | 718.890 | + | 142.996i | 0.0507655 | + | 0.0100979i | ||||
\(120\) | 1520.66 | + | 14045.6i | 0.105602 | + | 0.975390i | ||||
\(121\) | 3101.19 | − | 616.864i | 0.211815 | − | 0.0421327i | ||||
\(122\) | −21084.1 | + | 1450.20i | −1.41656 | + | 0.0974337i | ||||
\(123\) | −6860.99 | + | 22617.7i | −0.453499 | + | 1.49499i | ||||
\(124\) | −4671.73 | + | 9629.36i | −0.303833 | + | 0.626259i | ||||
\(125\) | 7239.48 | + | 8821.33i | 0.463327 | + | 0.564565i | ||||
\(126\) | −3715.10 | − | 2644.12i | −0.234007 | − | 0.166548i | ||||
\(127\) | − | 14546.3i | − | 0.901871i | −0.892557 | − | 0.450936i | \(-0.851090\pi\) | ||
0.892557 | − | 0.450936i | \(-0.148910\pi\) | |||||||
\(128\) | 6115.80 | + | 15199.8i | 0.373279 | + | 0.927719i | ||||
\(129\) | 6385.89 | 0.383744 | ||||||||
\(130\) | 9086.71 | − | 12767.2i | 0.537675 | − | 0.755457i | ||||
\(131\) | 13685.6 | − | 11231.5i | 0.797485 | − | 0.654479i | −0.144736 | − | 0.989470i | \(-0.546233\pi\) |
0.942221 | + | 0.334991i | \(0.108733\pi\) | |||||||
\(132\) | −5628.78 | + | 11602.0i | −0.323047 | + | 0.665864i | ||||
\(133\) | 14441.4 | + | 4380.76i | 0.816407 | + | 0.247654i | ||||
\(134\) | 1324.24 | + | 19252.8i | 0.0737493 | + | 1.07222i | ||||
\(135\) | −4539.62 | − | 22822.2i | −0.249088 | − | 1.25225i | ||||
\(136\) | 782.670 | + | 629.752i | 0.0423156 | + | 0.0340480i | ||||
\(137\) | −853.944 | + | 4293.07i | −0.0454976 | + | 0.228732i | −0.996843 | − | 0.0793935i | \(-0.974702\pi\) |
0.951346 | + | 0.308125i | \(0.0997016\pi\) | |||||||
\(138\) | 9672.21 | − | 7471.41i | 0.507888 | − | 0.392324i | ||||
\(139\) | −1216.12 | − | 12347.5i | −0.0629431 | − | 0.639072i | −0.973963 | − | 0.226709i | \(-0.927203\pi\) |
0.911020 | − | 0.412363i | \(-0.135297\pi\) | |||||||
\(140\) | −21319.7 | + | 5116.22i | −1.08774 | + | 0.261031i | ||||
\(141\) | 1471.01 | + | 4849.28i | 0.0739909 | + | 0.243915i | ||||
\(142\) | 18342.0 | + | 8239.50i | 0.909642 | + | 0.408624i | ||||
\(143\) | 13214.9 | − | 5473.80i | 0.646239 | − | 0.267681i | ||||
\(144\) | −2836.18 | − | 5569.01i | −0.136776 | − | 0.268567i | ||||
\(145\) | 4774.88 | − | 11527.6i | 0.227105 | − | 0.548280i | ||||
\(146\) | 7238.91 | + | 7679.14i | 0.339600 | + | 0.360253i | ||||
\(147\) | 781.535 | − | 1462.15i | 0.0361671 | − | 0.0676639i | ||||
\(148\) | −8362.86 | + | 9045.12i | −0.381796 | + | 0.412944i | ||||
\(149\) | 25819.0 | + | 21189.1i | 1.16297 | + | 0.954421i | 0.999484 | − | 0.0321251i | \(-0.0102275\pi\) |
0.163482 | + | 0.986546i | \(0.447728\pi\) | |||||||
\(150\) | −6164.33 | − | 3532.53i | −0.273970 | − | 0.157001i | ||||
\(151\) | −13979.4 | + | 9340.71i | −0.613103 | + | 0.409662i | −0.822984 | − | 0.568065i | \(-0.807692\pi\) |
0.209881 | + | 0.977727i | \(0.432692\pi\) | |||||||
\(152\) | 14766.0 | + | 14483.1i | 0.639108 | + | 0.626864i | ||||
\(153\) | −318.611 | − | 212.889i | −0.0136106 | − | 0.00909431i | ||||
\(154\) | −18971.1 | − | 6371.69i | −0.799928 | − | 0.268666i | ||||
\(155\) | −9253.26 | − | 17311.6i | −0.385151 | − | 0.720567i | ||||
\(156\) | 4058.69 | − | 15547.5i | 0.166777 | − | 0.638869i | ||||
\(157\) | 3434.40 | − | 34870.1i | 0.139332 | − | 1.41466i | −0.630387 | − | 0.776281i | \(-0.717104\pi\) |
0.769719 | − | 0.638383i | \(-0.220396\pi\) | |||||||
\(158\) | −6743.34 | + | 29348.1i | −0.270123 | + | 1.17562i | ||||
\(159\) | −410.153 | − | 410.153i | −0.0162238 | − | 0.0162238i | ||||
\(160\) | −29146.8 | − | 7308.44i | −1.13855 | − | 0.285486i | ||||
\(161\) | 13411.9 | + | 13411.9i | 0.517415 | + | 0.517415i | ||||
\(162\) | −8466.53 | − | 13517.9i | −0.322608 | − | 0.515086i | ||||
\(163\) | −3230.30 | + | 32797.8i | −0.121581 | + | 1.23444i | 0.719872 | + | 0.694107i | \(0.244201\pi\) |
−0.841453 | + | 0.540330i | \(0.818299\pi\) | |||||||
\(164\) | −40079.6 | − | 30345.6i | −1.49017 | − | 1.12826i | ||||
\(165\) | −11148.9 | − | 20858.1i | −0.409509 | − | 0.766137i | ||||
\(166\) | 15344.6 | + | 30864.5i | 0.556850 | + | 1.12006i | ||||
\(167\) | −31859.3 | − | 21287.7i | −1.14236 | − | 0.763300i | −0.167446 | − | 0.985881i | \(-0.553552\pi\) |
−0.974914 | + | 0.222581i | \(0.928552\pi\) | |||||||
\(168\) | −18571.2 | + | 12670.3i | −0.657991 | + | 0.448921i | ||||
\(169\) | 8927.90 | − | 5965.43i | 0.312591 | − | 0.208866i | ||||
\(170\) | −1778.11 | + | 482.591i | −0.0615262 | + | 0.0166987i | ||||
\(171\) | −6098.68 | − | 5005.06i | −0.208566 | − | 0.171166i | ||||
\(172\) | −4702.39 | + | 12742.6i | −0.158951 | + | 0.430725i | ||||
\(173\) | −10832.4 | + | 20266.0i | −0.361937 | + | 0.677137i | −0.995313 | − | 0.0967078i | \(-0.969169\pi\) |
0.633376 | + | 0.773844i | \(0.281669\pi\) | |||||||
\(174\) | 377.387 | − | 12788.6i | 0.0124649 | − | 0.422400i | ||||
\(175\) | 4219.47 | − | 10186.7i | 0.137779 | − | 0.332627i | ||||
\(176\) | −19006.1 | − | 19775.2i | −0.613575 | − | 0.638405i | ||||
\(177\) | −22284.6 | + | 9230.57i | −0.711308 | + | 0.294634i | ||||
\(178\) | 51603.4 | − | 19612.3i | 1.62869 | − | 0.618997i | ||||
\(179\) | 7713.73 | + | 25428.8i | 0.240746 | + | 0.793632i | 0.991161 | + | 0.132665i | \(0.0423535\pi\) |
−0.750415 | + | 0.660967i | \(0.770146\pi\) | |||||||
\(180\) | 11320.8 | + | 1794.17i | 0.349408 | + | 0.0553758i | ||||
\(181\) | 1430.69 | + | 14526.0i | 0.0436705 | + | 0.443394i | 0.992012 | + | 0.126143i | \(0.0402597\pi\) |
−0.948342 | + | 0.317251i | \(0.897240\pi\) | |||||||
\(182\) | 24734.1 | + | 3175.22i | 0.746712 | + | 0.0958585i | ||||
\(183\) | 7753.83 | − | 38981.1i | 0.231534 | − | 1.16400i | ||||
\(184\) | 7786.30 | + | 24801.9i | 0.229983 | + | 0.732572i | ||||
\(185\) | −4407.72 | − | 22159.1i | −0.128787 | − | 0.647454i | ||||
\(186\) | −15175.6 | − | 13222.3i | −0.438652 | − | 0.382193i | ||||
\(187\) | −1609.30 | − | 488.177i | −0.0460209 | − | 0.0139603i | ||||
\(188\) | −10759.6 | − | 635.579i | −0.304425 | − | 0.0179826i | ||||
\(189\) | 28623.7 | − | 23490.9i | 0.801314 | − | 0.657621i | ||||
\(190\) | −37407.2 | + | 6299.89i | −1.03621 | + | 0.174512i | ||||
\(191\) | −14422.5 | −0.395344 | −0.197672 | − | 0.980268i | \(-0.563338\pi\) | ||||
−0.197672 | + | 0.980268i | \(0.563338\pi\) | |||||||
\(192\) | −30599.5 | + | 3612.62i | −0.830064 | + | 0.0979985i | ||||
\(193\) | 59617.2i | 1.60050i | 0.599664 | + | 0.800252i | \(0.295301\pi\) | ||||
−0.599664 | + | 0.800252i | \(0.704699\pi\) | |||||||
\(194\) | 22910.8 | − | 3858.50i | 0.608747 | − | 0.102522i | ||||
\(195\) | 18695.9 | + | 22781.0i | 0.491674 | + | 0.599107i | ||||
\(196\) | 2342.11 | + | 2636.18i | 0.0609670 | + | 0.0686220i | ||||
\(197\) | 10143.4 | − | 33438.3i | 0.261367 | − | 0.861613i | −0.723799 | − | 0.690011i | \(-0.757606\pi\) |
0.985166 | − | 0.171602i | \(-0.0548943\pi\) | |||||||
\(198\) | 7888.16 | + | 6872.87i | 0.201208 | + | 0.175311i | ||||
\(199\) | −65421.0 | + | 13013.0i | −1.65200 | + | 0.328604i | −0.931193 | − | 0.364528i | \(-0.881231\pi\) |
−0.720811 | + | 0.693132i | \(0.756231\pi\) | |||||||
\(200\) | 11588.1 | − | 9699.21i | 0.289704 | − | 0.242480i | ||||
\(201\) | −35595.3 | − | 7080.35i | −0.881051 | − | 0.175252i | ||||
\(202\) | 64058.6 | + | 8223.48i | 1.56991 | + | 0.201536i | ||||
\(203\) | 19759.8 | − | 1946.18i | 0.479503 | − | 0.0472269i | ||||
\(204\) | −1528.51 | + | 1110.30i | −0.0367289 | + | 0.0266797i | ||||
\(205\) | 88230.6 | − | 26764.5i | 2.09948 | − | 0.636870i | ||||
\(206\) | 13597.6 | − | 5167.87i | 0.320425 | − | 0.121780i | ||||
\(207\) | −3794.64 | − | 9161.07i | −0.0885584 | − | 0.213799i | ||||
\(208\) | 28035.2 | + | 19547.6i | 0.648003 | + | 0.451821i | ||||
\(209\) | −31989.3 | − | 13250.4i | −0.732340 | − | 0.303345i | ||||
\(210\) | 1216.23 | − | 41214.6i | 0.0275789 | − | 0.934571i | ||||
\(211\) | 71993.1 | + | 38481.1i | 1.61706 | + | 0.864336i | 0.996800 | + | 0.0799393i | \(0.0254727\pi\) |
0.620259 | + | 0.784397i | \(0.287027\pi\) | |||||||
\(212\) | 1120.46 | − | 516.405i | 0.0249301 | − | 0.0114900i | ||||
\(213\) | −23989.5 | + | 29231.3i | −0.528764 | + | 0.644300i | ||||
\(214\) | −62972.8 | + | 17091.3i | −1.37507 | + | 0.373205i | ||||
\(215\) | −13839.9 | − | 20712.8i | −0.299402 | − | 0.448087i | ||||
\(216\) | 49676.4 | − | 10381.7i | 1.06474 | − | 0.222515i | ||||
\(217\) | 17354.2 | − | 25972.4i | 0.368540 | − | 0.551559i | ||||
\(218\) | 8772.99 | + | 17646.2i | 0.184601 | + | 0.371312i | ||||
\(219\) | −17503.1 | + | 9355.63i | −0.364945 | + | 0.195067i | ||||
\(220\) | 49830.5 | − | 6887.44i | 1.02956 | − | 0.142303i | ||||
\(221\) | 2085.45 | + | 205.399i | 0.0426988 | + | 0.00420547i | ||||
\(222\) | −12297.0 | − | 19633.8i | −0.249513 | − | 0.398381i | ||||
\(223\) | −21614.5 | + | 21614.5i | −0.434646 | + | 0.434646i | −0.890205 | − | 0.455559i | \(-0.849439\pi\) |
0.455559 | + | 0.890205i | \(0.349439\pi\) | |||||||
\(224\) | −11607.4 | − | 46387.5i | −0.231335 | − | 0.924495i | ||||
\(225\) | −4075.95 | + | 4075.95i | −0.0805125 | + | 0.0805125i | ||||
\(226\) | −9822.27 | + | 42748.1i | −0.192307 | + | 0.836951i | ||||
\(227\) | 84957.5 | + | 8367.58i | 1.64873 | + | 0.162386i | 0.879276 | − | 0.476313i | \(-0.158027\pi\) |
0.769456 | + | 0.638699i | \(0.220527\pi\) | |||||||
\(228\) | −33559.7 | + | 19665.3i | −0.645578 | + | 0.378295i | ||||
\(229\) | 17963.5 | − | 9601.70i | 0.342547 | − | 0.183095i | −0.291148 | − | 0.956678i | \(-0.594037\pi\) |
0.633695 | + | 0.773583i | \(0.281537\pi\) | |||||||
\(230\) | −45195.9 | − | 15179.6i | −0.854365 | − | 0.286950i | ||||
\(231\) | 20909.4 | − | 31293.1i | 0.391847 | − | 0.586441i | ||||
\(232\) | 25240.8 | + | 10170.2i | 0.468950 | + | 0.188953i | ||||
\(233\) | −520.474 | − | 778.944i | −0.00958709 | − | 0.0143481i | 0.826645 | − | 0.562724i | \(-0.190246\pi\) |
−0.836232 | + | 0.548376i | \(0.815246\pi\) | |||||||
\(234\) | −11311.1 | − | 6481.96i | −0.206573 | − | 0.118379i | ||||
\(235\) | 12540.7 | − | 15280.9i | 0.227084 | − | 0.276703i | ||||
\(236\) | −2009.18 | − | 51264.4i | −0.0360740 | − | 0.920432i | ||||
\(237\) | −49943.9 | − | 26695.5i | −0.889171 | − | 0.475272i | ||||
\(238\) | −2011.11 | − | 2133.41i | −0.0355044 | − | 0.0376635i | ||||
\(239\) | −58871.1 | − | 24385.2i | −1.03064 | − | 0.426904i | −0.197695 | − | 0.980264i | \(-0.563346\pi\) |
−0.832943 | + | 0.553359i | \(0.813346\pi\) | |||||||
\(240\) | 27622.0 | − | 49300.1i | 0.479548 | − | 0.855904i | ||||
\(241\) | −33855.3 | − | 81733.8i | −0.582897 | − | 1.40724i | −0.890175 | − | 0.455618i | \(-0.849418\pi\) |
0.307278 | − | 0.951620i | \(-0.400582\pi\) | |||||||
\(242\) | −11537.2 | − | 5182.66i | −0.197001 | − | 0.0884956i | ||||
\(243\) | −32759.2 | + | 9937.40i | −0.554780 | + | 0.168291i | ||||
\(244\) | 72074.3 | + | 44176.8i | 1.21060 | + | 0.742019i | ||||
\(245\) | −6436.31 | + | 633.921i | −0.107227 | + | 0.0105610i | ||||
\(246\) | 74819.0 | − | 57794.8i | 1.23635 | − | 0.955033i | ||||
\(247\) | 42316.2 | + | 8417.23i | 0.693607 | + | 0.137967i | ||||
\(248\) | 37559.1 | − | 20545.2i | 0.610678 | − | 0.334047i | ||||
\(249\) | −63576.3 | + | 12646.1i | −1.02541 | + | 0.203966i | ||||
\(250\) | −3132.26 | − | 45539.0i | −0.0501161 | − | 0.728625i | ||||
\(251\) | −24764.7 | + | 81638.2i | −0.393084 | + | 1.29582i | 0.507692 | + | 0.861539i | \(0.330499\pi\) |
−0.900776 | + | 0.434285i | \(0.857001\pi\) | |||||||
\(252\) | 5974.26 | + | 17233.7i | 0.0940769 | + | 0.271380i | ||||
\(253\) | −27607.6 | − | 33640.0i | −0.431308 | − | 0.525551i | ||||
\(254\) | −33738.9 | + | 47404.6i | −0.522954 | + | 0.734773i | ||||
\(255\) | − | 3464.91i | − | 0.0532858i | ||||||
\(256\) | 15323.9 | − | 63719.3i | 0.233824 | − | 0.972279i | ||||
\(257\) | −119889. | −1.81515 | −0.907575 | − | 0.419890i | \(-0.862069\pi\) | ||||
−0.907575 | + | 0.419890i | \(0.862069\pi\) | |||||||
\(258\) | −20810.8 | − | 14811.5i | −0.312644 | − | 0.222516i | ||||
\(259\) | 27792.1 | − | 22808.4i | 0.414306 | − | 0.340012i | ||||
\(260\) | −59225.0 | + | 20531.0i | −0.876110 | + | 0.303713i | ||||
\(261\) | −9933.22 | − | 3013.21i | −0.145817 | − | 0.0442332i | ||||
\(262\) | −70650.4 | + | 4859.46i | −1.02923 | + | 0.0707922i | ||||
\(263\) | −1640.88 | − | 8249.24i | −0.0237227 | − | 0.119262i | 0.967109 | − | 0.254360i | \(-0.0818650\pi\) |
−0.990832 | + | 0.135098i | \(0.956865\pi\) | |||||||
\(264\) | 45253.4 | − | 24754.1i | 0.649298 | − | 0.355173i | ||||
\(265\) | −441.437 | + | 2219.25i | −0.00628604 | + | 0.0316020i | ||||
\(266\) | −36902.1 | − | 47772.1i | −0.521540 | − | 0.675166i | ||||
\(267\) | 10176.0 | + | 103319.i | 0.142743 | + | 1.44929i | ||||
\(268\) | 40339.8 | − | 65814.1i | 0.561647 | − | 0.916325i | ||||
\(269\) | −1551.44 | − | 5114.41i | −0.0214403 | − | 0.0706791i | 0.945567 | − | 0.325426i | \(-0.105508\pi\) |
−0.967008 | + | 0.254747i | \(0.918008\pi\) | |||||||
\(270\) | −38140.1 | + | 84904.2i | −0.523184 | + | 1.16467i | ||||
\(271\) | −37789.9 | + | 15653.1i | −0.514561 | + | 0.213138i | −0.624826 | − | 0.780764i | \(-0.714830\pi\) |
0.110265 | + | 0.993902i | \(0.464830\pi\) | |||||||
\(272\) | −1089.97 | − | 3867.63i | −0.0147325 | − | 0.0522765i | ||||
\(273\) | −17946.7 | + | 43327.2i | −0.240802 | + | 0.581346i | ||||
\(274\) | 12740.3 | − | 12009.9i | 0.169699 | − | 0.159970i | ||||
\(275\) | −11925.3 | + | 22310.7i | −0.157690 | + | 0.295017i | ||||
\(276\) | −48849.9 | + | 1914.55i | −0.641277 | + | 0.0251332i | ||||
\(277\) | 93415.5 | + | 76664.2i | 1.21747 | + | 0.999155i | 0.999732 | + | 0.0231485i | \(0.00736905\pi\) |
0.217742 | + | 0.976006i | \(0.430131\pi\) | |||||||
\(278\) | −24675.8 | + | 43059.7i | −0.319287 | + | 0.557162i | ||||
\(279\) | −13578.0 | + | 9072.55i | −0.174433 | + | 0.116552i | ||||
\(280\) | 81345.1 | + | 32776.2i | 1.03756 | + | 0.418064i | ||||
\(281\) | 76815.4 | + | 51326.4i | 0.972827 | + | 0.650023i | 0.936998 | − | 0.349335i | \(-0.113593\pi\) |
0.0358297 | + | 0.999358i | \(0.488593\pi\) | |||||||
\(282\) | 6453.64 | − | 19215.1i | 0.0811534 | − | 0.241627i | ||||
\(283\) | −22590.1 | − | 42263.1i | −0.282063 | − | 0.527702i | 0.700496 | − | 0.713657i | \(-0.252962\pi\) |
−0.982558 | + | 0.185954i | \(0.940462\pi\) | |||||||
\(284\) | −40663.6 | − | 69394.3i | −0.504161 | − | 0.860374i | ||||
\(285\) | 6992.46 | − | 70995.7i | 0.0860876 | − | 0.874062i | ||||
\(286\) | −55761.9 | − | 12812.5i | −0.681720 | − | 0.156639i | ||||
\(287\) | 103747. | + | 103747.i | 1.25954 | + | 1.25954i | ||||
\(288\) | −3674.06 | + | 24727.0i | −0.0442957 | + | 0.298117i | ||||
\(289\) | 58884.1 | + | 58884.1i | 0.705021 | + | 0.705021i | ||||
\(290\) | −42298.0 | + | 26492.1i | −0.502949 | + | 0.315007i | ||||
\(291\) | −4282.68 | + | 43482.8i | −0.0505743 | + | 0.513489i | ||||
\(292\) | −5779.63 | − | 41815.5i | −0.0677851 | − | 0.490424i | ||||
\(293\) | −10112.2 | − | 18918.6i | −0.117790 | − | 0.220370i | 0.816116 | − | 0.577888i | \(-0.196123\pi\) |
−0.933906 | + | 0.357518i | \(0.883623\pi\) | |||||||
\(294\) | −5938.26 | + | 2952.26i | −0.0687012 | + | 0.0341555i | ||||
\(295\) | 78236.0 | + | 52275.7i | 0.899007 | + | 0.600697i | ||||
\(296\) | 48233.0 | − | 10080.0i | 0.550504 | − | 0.115048i | ||||
\(297\) | −70640.2 | + | 47200.3i | −0.800828 | + | 0.535096i | ||||
\(298\) | −34994.7 | − | 128938.i | −0.394066 | − | 1.45194i | ||||
\(299\) | 41917.9 | + | 34401.1i | 0.468875 | + | 0.384795i | ||||
\(300\) | 11895.4 | + | 25809.7i | 0.132171 | + | 0.286775i | ||||
\(301\) | 18686.9 | − | 34960.7i | 0.206254 | − | 0.385875i | ||||
\(302\) | 67222.1 | + | 1983.71i | 0.737052 | + | 0.0217502i | ||||
\(303\) | −46480.1 | + | 112213.i | −0.506269 | + | 1.22224i | ||||
\(304\) | −14528.2 | − | 81447.0i | −0.157204 | − | 0.881308i | ||||
\(305\) | −143241. | + | 59332.4i | −1.53981 | + | 0.637811i | ||||
\(306\) | 544.536 | + | 1432.77i | 0.00581546 | + | 0.0153015i | ||||
\(307\) | −4320.02 | − | 14241.2i | −0.0458363 | − | 0.151102i | 0.931035 | − | 0.364930i | \(-0.118907\pi\) |
−0.976871 | + | 0.213828i | \(0.931407\pi\) | |||||||
\(308\) | 47045.9 | + | 64766.4i | 0.495930 | + | 0.682729i | ||||
\(309\) | 2681.39 | + | 27224.6i | 0.0280830 | + | 0.285131i | ||||
\(310\) | −9997.62 | + | 77878.7i | −0.104034 | + | 0.810393i | ||||
\(311\) | 28564.6 | − | 143604.i | 0.295330 | − | 1.48472i | −0.493303 | − | 0.869858i | \(-0.664210\pi\) |
0.788632 | − | 0.614865i | \(-0.210790\pi\) | |||||||
\(312\) | −49287.9 | + | 41253.7i | −0.506327 | + | 0.423793i | ||||
\(313\) | 22727.6 | + | 114260.i | 0.231988 | + | 1.16628i | 0.904591 | + | 0.426280i | \(0.140176\pi\) |
−0.672603 | + | 0.740003i | \(0.734824\pi\) | |||||||
\(314\) | −92070.5 | + | 105672.i | −0.933816 | + | 1.07176i | ||||
\(315\) | −32012.4 | − | 9710.86i | −0.322625 | − | 0.0978671i | ||||
\(316\) | 90046.3 | − | 80001.4i | 0.901762 | − | 0.801168i | ||||
\(317\) | 17075.0 | − | 14013.1i | 0.169919 | − | 0.139449i | −0.545590 | − | 0.838052i | \(-0.683695\pi\) |
0.715510 | + | 0.698603i | \(0.246195\pi\) | |||||||
\(318\) | 385.324 | + | 2287.96i | 0.00381041 | + | 0.0226253i | ||||
\(319\) | −45555.9 | −0.447675 | ||||||||
\(320\) | 78034.6 | + | 91420.9i | 0.762056 | + | 0.892782i | ||||
\(321\) | − | 122712.i | − | 1.19090i | ||||||
\(322\) | −12600.0 | − | 74815.6i | −0.121523 | − | 0.721574i | ||||
\(323\) | −3218.07 | − | 3921.23i | −0.0308454 | − | 0.0375852i | ||||
\(324\) | −3762.27 | + | 63690.7i | −0.0358393 | + | 0.606717i | ||||
\(325\) | 9150.62 | − | 30165.6i | 0.0866331 | − | 0.285591i | ||||
\(326\) | 86598.8 | − | 99391.6i | 0.814849 | − | 0.935221i | ||||
\(327\) | −36348.6 | + | 7230.19i | −0.339932 | + | 0.0676168i | ||||
\(328\) | 60230.6 | + | 191854.i | 0.559847 | + | 1.78330i | ||||
\(329\) | 30852.8 | + | 6137.01i | 0.285038 | + | 0.0566976i | ||||
\(330\) | −12045.7 | + | 93832.9i | −0.110613 | + | 0.861643i | ||||
\(331\) | −31925.6 | + | 3144.40i | −0.291396 | + | 0.0287000i | −0.242659 | − | 0.970112i | \(-0.578020\pi\) |
−0.0487370 | + | 0.998812i | \(0.515520\pi\) | |||||||
\(332\) | 21581.4 | − | 136174.i | 0.195796 | − | 1.23543i | ||||
\(333\) | −17986.4 | + | 5456.13i | −0.162202 | + | 0.0492035i | ||||
\(334\) | 54450.6 | + | 143269.i | 0.488101 | + | 1.28428i | ||||
\(335\) | 54178.9 | + | 130799.i | 0.482770 | + | 1.16551i | ||||
\(336\) | 89909.0 | + | 1783.12i | 0.796388 | + | 0.0157943i | ||||
\(337\) | 48791.7 | + | 20210.2i | 0.429621 | + | 0.177955i | 0.587006 | − | 0.809582i | \(-0.300306\pi\) |
−0.157385 | + | 0.987537i | \(0.550306\pi\) | |||||||
\(338\) | −42931.3 | − | 1266.89i | −0.375786 | − | 0.0110893i | ||||
\(339\) | −72747.6 | − | 38884.4i | −0.633022 | − | 0.338358i | ||||
\(340\) | 6913.97 | + | 2551.46i | 0.0598094 | + | 0.0220715i | ||||
\(341\) | −45466.2 | + | 55400.7i | −0.391003 | + | 0.476438i | ||||
\(342\) | 8266.05 | + | 30456.3i | 0.0706718 | + | 0.260390i | ||||
\(343\) | −68008.0 | − | 101781.i | −0.578058 | − | 0.865125i | ||||
\(344\) | 44879.9 | − | 30619.7i | 0.379258 | − | 0.258752i | ||||
\(345\) | 49813.6 | − | 74551.3i | 0.418513 | − | 0.626350i | ||||
\(346\) | 82306.9 | − | 40919.7i | 0.687518 | − | 0.341806i | ||||
\(347\) | −79378.6 | + | 42428.7i | −0.659241 | + | 0.352372i | −0.766854 | − | 0.641821i | \(-0.778179\pi\) |
0.107613 | + | 0.994193i | \(0.465679\pi\) | |||||||
\(348\) | −30891.9 | + | 40801.1i | −0.255086 | + | 0.336910i | ||||
\(349\) | −59502.2 | − | 5860.46i | −0.488520 | − | 0.0481150i | −0.149241 | − | 0.988801i | \(-0.547683\pi\) |
−0.339279 | + | 0.940686i | \(0.610183\pi\) | |||||||
\(350\) | −37378.0 | + | 23410.5i | −0.305126 | + | 0.191107i | ||||
\(351\) | 74857.3 | − | 74857.3i | 0.607603 | − | 0.607603i | ||||
\(352\) | 16071.6 | + | 108528.i | 0.129710 | + | 0.875905i | ||||
\(353\) | 89667.3 | − | 89667.3i | 0.719589 | − | 0.719589i | −0.248932 | − | 0.968521i | \(-0.580080\pi\) |
0.968521 | + | 0.248932i | \(0.0800796\pi\) | |||||||
\(354\) | 94032.3 | + | 21605.9i | 0.750362 | + | 0.172411i | ||||
\(355\) | 146804. | + | 14458.9i | 1.16488 | + | 0.114731i | ||||
\(356\) | −213658. | − | 55775.7i | −1.68585 | − | 0.440093i | ||||
\(357\) | 4862.71 | − | 2599.17i | 0.0381542 | − | 0.0203938i | ||||
\(358\) | 33841.8 | − | 100761.i | 0.264051 | − | 0.786185i | ||||
\(359\) | 42021.6 | − | 62889.8i | 0.326050 | − | 0.487968i | −0.631842 | − | 0.775097i | \(-0.717701\pi\) |
0.957892 | + | 0.287129i | \(0.0927009\pi\) | |||||||
\(360\) | −32731.8 | − | 32104.7i | −0.252560 | − | 0.247722i | ||||
\(361\) | 14377.8 | + | 21518.0i | 0.110326 | + | 0.165115i | ||||
\(362\) | 29029.4 | − | 50656.9i | 0.221524 | − | 0.386564i | ||||
\(363\) | 15089.4 | − | 18386.5i | 0.114514 | − | 0.139536i | ||||
\(364\) | −73240.7 | − | 67716.3i | −0.552777 | − | 0.511082i | ||||
\(365\) | 68279.1 | + | 36495.9i | 0.512509 | + | 0.273942i | ||||
\(366\) | −115682. | + | 109051.i | −0.863584 | + | 0.814077i | ||||
\(367\) | −150869. | − | 62491.8i | −1.12012 | − | 0.463971i | −0.255712 | − | 0.966753i | \(-0.582310\pi\) |
−0.864413 | + | 0.502782i | \(0.832310\pi\) | |||||||
\(368\) | 32151.4 | − | 98886.3i | 0.237413 | − | 0.730197i | ||||
\(369\) | −29353.3 | − | 70865.0i | −0.215578 | − | 0.520450i | ||||
\(370\) | −37032.0 | + | 82437.2i | −0.270504 | + | 0.602171i | ||||
\(371\) | −3445.68 | + | 1045.24i | −0.0250338 | + | 0.00759392i | ||||
\(372\) | 18787.4 | + | 78288.6i | 0.135762 | + | 0.565734i | ||||
\(373\) | −151696. | + | 14940.8i | −1.09033 | + | 0.107388i | −0.627166 | − | 0.778886i | \(-0.715785\pi\) |
−0.463162 | + | 0.886274i | \(0.653285\pi\) | |||||||
\(374\) | 4112.24 | + | 5323.56i | 0.0293992 | + | 0.0380591i | ||||
\(375\) | 84194.3 | + | 16747.3i | 0.598715 | + | 0.119092i | ||||
\(376\) | 33590.1 | + | 27027.3i | 0.237594 | + | 0.191173i | ||||
\(377\) | 55675.2 | − | 11074.5i | 0.391723 | − | 0.0779186i | ||||
\(378\) | −147767. | + | 10163.6i | −1.03417 | + | 0.0711321i | ||||
\(379\) | −50340.8 | + | 165951.i | −0.350463 | + | 1.15532i | 0.587687 | + | 0.809089i | \(0.300039\pi\) |
−0.938149 | + | 0.346231i | \(0.887461\pi\) | |||||||
\(380\) | 136518. | + | 66232.2i | 0.945413 | + | 0.458672i | ||||
\(381\) | −69417.7 | − | 84585.8i | −0.478212 | − | 0.582703i | ||||
\(382\) | 47001.3 | + | 33451.9i | 0.322095 | + | 0.229242i | ||||
\(383\) | 164940.i | 1.12442i | 0.826994 | + | 0.562210i | \(0.190049\pi\) | ||||
−0.826994 | + | 0.562210i | \(0.809951\pi\) | |||||||
\(384\) | 108099. | + | 59199.9i | 0.733095 | + | 0.401475i | ||||
\(385\) | −146816. | −0.990493 | ||||||||
\(386\) | 138277. | − | 194285.i | 0.928059 | − | 1.30396i | ||||
\(387\) | −16019.9 | + | 13147.2i | −0.106964 | + | 0.0877832i | ||||
\(388\) | −83613.1 | − | 40565.3i | −0.555406 | − | 0.269458i | ||||
\(389\) | 157114. | + | 47660.1i | 1.03828 | + | 0.314960i | 0.762997 | − | 0.646402i | \(-0.223727\pi\) |
0.275287 | + | 0.961362i | \(0.411227\pi\) | |||||||
\(390\) | −8089.03 | − | 117604.i | −0.0531823 | − | 0.773204i | ||||
\(391\) | −1243.81 | − | 6253.04i | −0.00813579 | − | 0.0409014i | ||||
\(392\) | −1518.25 | − | 14023.3i | −0.00988034 | − | 0.0912597i | ||||
\(393\) | 25982.2 | − | 130621.i | 0.168225 | − | 0.845724i | ||||
\(394\) | −110614. | + | 85444.7i | −0.712551 | + | 0.550418i | ||||
\(395\) | 21653.4 | + | 219851.i | 0.138782 | + | 1.40907i | ||||
\(396\) | −9765.53 | − | 40693.8i | −0.0622738 | − | 0.259500i | ||||
\(397\) | −30585.3 | − | 100826.i | −0.194058 | − | 0.639724i | −0.998929 | − | 0.0462736i | \(-0.985265\pi\) |
0.804871 | − | 0.593450i | \(-0.202235\pi\) | |||||||
\(398\) | 243382. | + | 109331.i | 1.53646 | + | 0.690201i | ||||
\(399\) | 104882. | − | 43443.5i | 0.658802 | − | 0.272885i | ||||
\(400\) | −60260.9 | + | 4730.82i | −0.376631 | + | 0.0295676i | ||||
\(401\) | 33610.1 | − | 81141.9i | 0.209017 | − | 0.504611i | −0.784252 | − | 0.620442i | \(-0.786953\pi\) |
0.993269 | + | 0.115831i | \(0.0369532\pi\) | |||||||
\(402\) | 99578.7 | + | 105634.i | 0.616189 | + | 0.653662i | ||||
\(403\) | 42097.8 | − | 78759.5i | 0.259209 | − | 0.484946i | ||||
\(404\) | −189686. | − | 175378.i | −1.16218 | − | 1.07452i | ||||
\(405\) | −90454.3 | − | 74233.9i | −0.551466 | − | 0.452577i | ||||
\(406\) | −68909.0 | − | 39489.0i | −0.418046 | − | 0.239565i | ||||
\(407\) | −68587.7 | + | 45828.8i | −0.414054 | + | 0.276662i | ||||
\(408\) | 7556.48 | − | 73.0833i | 0.0453941 | − | 0.000439033i | ||||
\(409\) | 173162. | + | 115703.i | 1.03515 | + | 0.691668i | 0.952384 | − | 0.304901i | \(-0.0986234\pi\) |
0.0827698 | + | 0.996569i | \(0.473623\pi\) | |||||||
\(410\) | −349611. | − | 117421.i | −2.07978 | − | 0.698521i | ||||
\(411\) | 15521.7 | + | 29039.1i | 0.0918876 | + | 0.171910i | ||||
\(412\) | −56299.3 | − | 14697.0i | −0.331672 | − | 0.0865831i | ||||
\(413\) | −14676.4 | + | 149012.i | −0.0860438 | + | 0.873617i | ||||
\(414\) | −8882.06 | + | 38656.2i | −0.0518219 | + | 0.225537i | ||||
\(415\) | 178804. | + | 178804.i | 1.03820 | + | 1.03820i | ||||
\(416\) | −46024.4 | − | 128729.i | −0.265951 | − | 0.743855i | ||||
\(417\) | −65996.4 | − | 65996.4i | −0.379532 | − | 0.379532i | ||||
\(418\) | 73516.2 | + | 117378.i | 0.420756 | + | 0.671792i | ||||
\(419\) | 27467.5 | − | 278882.i | 0.156456 | − | 1.58852i | −0.521391 | − | 0.853318i | \(-0.674587\pi\) |
0.677847 | − | 0.735203i | \(-0.262913\pi\) | |||||||
\(420\) | −99557.3 | + | 131492.i | −0.564384 | + | 0.745422i | ||||
\(421\) | −118195. | − | 221128.i | −0.666863 | − | 1.24761i | −0.956850 | − | 0.290582i | \(-0.906151\pi\) |
0.289987 | − | 0.957031i | \(-0.406349\pi\) | |||||||
\(422\) | −145363. | − | 292387.i | −0.816262 | − | 1.64185i | ||||
\(423\) | −13673.9 | − | 9136.61i | −0.0764208 | − | 0.0510627i | ||||
\(424\) | −4849.20 | − | 915.903i | −0.0269735 | − | 0.00509469i | ||||
\(425\) | −3081.60 | + | 2059.06i | −0.0170608 | + | 0.0113996i | ||||
\(426\) | 145978. | − | 39619.6i | 0.804395 | − | 0.218319i | ||||
\(427\) | −190719. | − | 156519.i | −1.04602 | − | 0.858444i | ||||
\(428\) | 244863. | + | 90361.7i | 1.33670 | + | 0.493284i | ||||
\(429\) | 50722.0 | − | 94894.1i | 0.275602 | − | 0.515614i | ||||
\(430\) | −2939.20 | + | 99601.0i | −0.0158961 | + | 0.538675i | ||||
\(431\) | 82201.3 | − | 198452.i | 0.442511 | − | 1.06832i | −0.532554 | − | 0.846396i | \(-0.678768\pi\) |
0.975065 | − | 0.221920i | \(-0.0712325\pi\) | |||||||
\(432\) | −185969. | − | 81387.6i | −0.996489 | − | 0.436105i | ||||
\(433\) | −196984. | + | 81593.5i | −1.05064 | + | 0.435191i | −0.840121 | − | 0.542398i | \(-0.817516\pi\) |
−0.210522 | + | 0.977589i | \(0.567516\pi\) | |||||||
\(434\) | −116796. | + | 44389.3i | −0.620081 | + | 0.235667i | ||||
\(435\) | −27246.3 | − | 89818.9i | −0.143989 | − | 0.474667i | ||||
\(436\) | 12338.8 | − | 77855.2i | 0.0649084 | − | 0.409557i | ||||
\(437\) | −12866.4 | − | 130634.i | −0.0673741 | − | 0.684061i | ||||
\(438\) | 78740.3 | + | 10108.2i | 0.410439 | + | 0.0526898i | ||||
\(439\) | −1420.29 | + | 7140.30i | −0.00736969 | + | 0.0370499i | −0.984295 | − | 0.176531i | \(-0.943513\pi\) |
0.976925 | + | 0.213580i | \(0.0685126\pi\) | |||||||
\(440\) | −178367. | − | 93132.4i | −0.921315 | − | 0.481056i | ||||
\(441\) | 1049.67 | + | 5277.03i | 0.00539727 | + | 0.0271339i | ||||
\(442\) | −6319.84 | − | 5506.41i | −0.0323490 | − | 0.0281854i | ||||
\(443\) | −14.3623 | − | 4.35677i | −7.31843e−5 | − | 2.22002e-5i | 0.290248 | − | 0.956951i | \(-0.406262\pi\) |
−0.290321 | + | 0.956929i | \(0.593762\pi\) | |||||||
\(444\) | −5464.42 | + | 92506.1i | −0.0277190 | + | 0.469250i | ||||
\(445\) | 313064. | − | 256925.i | 1.58093 | − | 1.29744i | ||||
\(446\) | 120572. | − | 20306.1i | 0.606146 | − | 0.102084i | ||||
\(447\) | 251255. | 1.25747 | ||||||||
\(448\) | −69764.6 | + | 178094.i | −0.347599 | + | 0.887345i | ||||
\(449\) | − | 273652.i | − | 1.35740i | −0.734418 | − | 0.678698i | \(-0.762545\pi\) | ||
0.734418 | − | 0.678698i | \(-0.237455\pi\) | |||||||
\(450\) | 22736.8 | − | 3829.21i | 0.112281 | − | 0.0189097i | ||||
\(451\) | −213557. | − | 260220.i | −1.04993 | − | 1.27935i | ||||
\(452\) | 131160. | − | 116529.i | 0.641986 | − | 0.570371i | ||||
\(453\) | −36713.4 | + | 121028.i | −0.178908 | + | 0.589779i | ||||
\(454\) | −257458. | − | 224321.i | −1.24910 | − | 1.08832i | ||||
\(455\) | 179428. | − | 35690.5i | 0.866698 | − | 0.172397i | ||||
\(456\) | 154979. | + | 13752.1i | 0.745322 | + | 0.0661363i | ||||
\(457\) | 163118. | + | 32446.3i | 0.781035 | + | 0.155358i | 0.569476 | − | 0.822008i | \(-0.307146\pi\) |
0.211559 | + | 0.977365i | \(0.432146\pi\) | |||||||
\(458\) | −80811.3 | − | 10374.1i | −0.385249 | − | 0.0494560i | ||||
\(459\) | −12386.7 | + | 1219.99i | −0.0587937 | + | 0.00579068i | ||||
\(460\) | 112080. | + | 154297.i | 0.529680 | + | 0.729191i | ||||
\(461\) | 228718. | − | 69380.7i | 1.07621 | − | 0.326465i | 0.298064 | − | 0.954546i | \(-0.403659\pi\) |
0.778148 | + | 0.628081i | \(0.216159\pi\) | |||||||
\(462\) | −140723. | + | 53482.8i | −0.659296 | + | 0.250571i | ||||
\(463\) | −80308.4 | − | 193882.i | −0.374627 | − | 0.904430i | −0.992953 | − | 0.118508i | \(-0.962189\pi\) |
0.618326 | − | 0.785922i | \(-0.287811\pi\) | |||||||
\(464\) | −58667.7 | − | 91687.4i | −0.272498 | − | 0.425867i | ||||
\(465\) | −136422. | − | 56507.7i | −0.630925 | − | 0.261338i | ||||
\(466\) | −110.534 | + | 3745.68i | −0.000509007 | + | 0.0172488i | ||||
\(467\) | 295668. | + | 158038.i | 1.35572 | + | 0.724647i | 0.979417 | − | 0.201849i | \(-0.0646951\pi\) |
0.376303 | + | 0.926497i | \(0.377195\pi\) | |||||||
\(468\) | 21827.3 | + | 47359.2i | 0.0996570 | + | 0.216228i | ||||
\(469\) | −142924. | + | 174154.i | −0.649771 | + | 0.791749i | ||||
\(470\) | −76311.5 | + | 20711.5i | −0.345457 | + | 0.0937596i | ||||
\(471\) | −146436. | − | 219157.i | −0.660094 | − | 0.987901i | ||||
\(472\) | −112356. | + | 171725.i | −0.504326 | + | 0.770812i | ||||
\(473\) | −50530.5 | + | 75624.2i | −0.225856 | + | 0.338017i | ||||
\(474\) | 100843. | + | 202838.i | 0.448837 | + | 0.902803i | ||||
\(475\) | −67297.1 | + | 35971.1i | −0.298270 | + | 0.159429i | ||||
\(476\) | 1605.69 | + | 11617.1i | 0.00708677 | + | 0.0512726i | ||||
\(477\) | 1873.35 | + | 184.509i | 0.00823345 | + | 0.000810924i | ||||
\(478\) | 135294. | + | 216015.i | 0.592139 | + | 0.945427i | ||||
\(479\) | −317723. | + | 317723.i | −1.38477 | + | 1.38477i | −0.548847 | + | 0.835923i | \(0.684933\pi\) |
−0.835923 | + | 0.548847i | \(0.815067\pi\) | |||||||
\(480\) | −204364. | + | 96596.1i | −0.886997 | + | 0.419254i | ||||
\(481\) | 72682.2 | − | 72682.2i | 0.314151 | − | 0.314151i | ||||
\(482\) | −79244.5 | + | 344885.i | −0.341095 | + | 1.48450i | ||||
\(483\) | 141994. | + | 13985.2i | 0.608660 | + | 0.0599478i | ||||
\(484\) | 25577.5 | + | 43649.2i | 0.109186 | + | 0.186331i | ||||
\(485\) | 150319. | − | 80347.4i | 0.639045 | − | 0.341577i | ||||
\(486\) | 129807. | + | 43597.5i | 0.549575 | + | 0.184582i | ||||
\(487\) | 81097.2 | − | 121371.i | 0.341938 | − | 0.511747i | −0.620151 | − | 0.784483i | \(-0.712929\pi\) |
0.962089 | + | 0.272736i | \(0.0879285\pi\) | |||||||
\(488\) | −132417. | − | 311137.i | −0.556038 | − | 1.30651i | ||||
\(489\) | 137733. | + | 206133.i | 0.575999 | + | 0.862043i | ||||
\(490\) | 22445.5 | + | 12862.6i | 0.0934839 | + | 0.0535719i | ||||
\(491\) | 167113. | − | 203627.i | 0.693180 | − | 0.844642i | −0.300859 | − | 0.953669i | \(-0.597273\pi\) |
0.994039 | + | 0.109027i | \(0.0347733\pi\) | |||||||
\(492\) | −377876. | + | 14809.9i | −1.56106 | + | 0.0611818i | ||||
\(493\) | −5886.02 | − | 3146.14i | −0.0242174 | − | 0.0129445i | ||||
\(494\) | −118381. | − | 125580.i | −0.485095 | − | 0.514595i | ||||
\(495\) | 70911.0 | + | 29372.3i | 0.289403 | + | 0.119875i | ||||
\(496\) | −170054. | − | 20160.8i | −0.691230 | − | 0.0819491i | ||||
\(497\) | 89831.9 | + | 216873.i | 0.363678 | + | 0.877997i | ||||
\(498\) | 236519. | + | 106248.i | 0.953690 | + | 0.428411i | ||||
\(499\) | −119556. | + | 36266.8i | −0.480142 | + | 0.145649i | −0.521072 | − | 0.853513i | \(-0.674468\pi\) |
0.0409306 | + | 0.999162i | \(0.486968\pi\) | |||||||
\(500\) | −95416.4 | + | 155671.i | −0.381666 | + | 0.622685i | ||||
\(501\) | −286849. | + | 28252.1i | −1.14282 | + | 0.112558i | ||||
\(502\) | 270058. | − | 208609.i | 1.07164 | − | 0.827802i | ||||
\(503\) | −221632. | − | 44085.4i | −0.875985 | − | 0.174244i | −0.263436 | − | 0.964677i | \(-0.584856\pi\) |
−0.612549 | + | 0.790433i | \(0.709856\pi\) | |||||||
\(504\) | 20502.8 | − | 70019.5i | 0.0807147 | − | 0.275650i | ||||
\(505\) | 464700. | − | 92434.6i | 1.82217 | − | 0.362453i | ||||
\(506\) | 11944.8 | + | 173662.i | 0.0466528 | + | 0.678273i | ||||
\(507\) | 23447.0 | − | 77294.4i | 0.0912160 | − | 0.300699i | ||||
\(508\) | 219902. | − | 76231.4i | 0.852122 | − | 0.295397i | ||||
\(509\) | 216629. | + | 263963.i | 0.836144 | + | 1.01884i | 0.999479 | + | 0.0322742i | \(0.0102750\pi\) |
−0.163335 | + | 0.986571i | \(0.552225\pi\) | |||||||
\(510\) | −8036.56 | + | 11291.7i | −0.0308980 | + | 0.0434130i | ||||
\(511\) | 123201.i | 0.471816i | ||||||||
\(512\) | −197730. | + | 172111.i | −0.754281 | + | 0.656551i | ||||
\(513\) | −256265. | −0.973765 | ||||||||
\(514\) | 390704. | + | 278072.i | 1.47884 | + | 1.05252i | ||||
\(515\) | 82492.6 | − | 67700.0i | 0.311029 | − | 0.255255i | ||||
\(516\) | 33465.9 | + | 96538.1i | 0.125691 | + | 0.362576i | ||||
\(517\) | −69066.9 | − | 20951.2i | −0.258398 | − | 0.0783842i | ||||
\(518\) | −143473. | + | 9868.33i | −0.534701 | + | 0.0367777i | ||||
\(519\) | 33723.6 | + | 169540.i | 0.125199 | + | 0.629416i | ||||
\(520\) | 240627. | + | 70459.5i | 0.889894 | + | 0.260575i | ||||
\(521\) | 11469.4 | − | 57660.5i | 0.0422537 | − | 0.212424i | −0.953891 | − | 0.300155i | \(-0.902962\pi\) |
0.996144 | + | 0.0877312i | \(0.0279617\pi\) | |||||||
\(522\) | 25382.3 | + | 32859.0i | 0.0931515 | + | 0.120590i | ||||
\(523\) | −4949.36 | − | 50251.7i | −0.0180945 | − | 0.183716i | 0.981889 | − | 0.189457i | \(-0.0606727\pi\) |
−0.999984 | + | 0.00574065i | \(0.998173\pi\) | |||||||
\(524\) | 241512. | + | 148031.i | 0.879583 | + | 0.539127i | ||||
\(525\) | −24077.0 | − | 79371.3i | −0.0873542 | − | 0.287968i | ||||
\(526\) | −13786.0 | + | 30689.2i | −0.0498273 | + | 0.110921i | ||||
\(527\) | −9700.46 | + | 4018.06i | −0.0349278 | + | 0.0144676i | ||||
\(528\) | −204891. | − | 24290.9i | −0.734944 | − | 0.0871316i | ||||
\(529\) | −43955.0 | + | 106117.i | −0.157071 | + | 0.379203i | ||||
\(530\) | 6585.96 | − | 6208.40i | 0.0234459 | − | 0.0221018i | ||||
\(531\) | 36900.2 | − | 69035.5i | 0.130870 | − | 0.244841i | ||||
\(532\) | 9456.16 | + | 241275.i | 0.0334112 | + | 0.852489i | ||||
\(533\) | 324254. | + | 266108.i | 1.14138 | + | 0.936707i | ||||
\(534\) | 206477. | − | 360306.i | 0.724084 | − | 1.26354i | ||||
\(535\) | −398020. | + | 265948.i | −1.39058 | + | 0.929158i | ||||
\(536\) | −284113. | + | 120916.i | −0.988920 | + | 0.420875i | ||||
\(537\) | 166206. | + | 111055.i | 0.576366 | + | 0.385115i | ||||
\(538\) | −6806.49 | + | 20265.7i | −0.0235158 | + | 0.0700159i | ||||
\(539\) | 11131.2 | + | 20825.0i | 0.0383146 | + | 0.0716815i | ||||
\(540\) | 321222. | − | 188230.i | 1.10159 | − | 0.645506i | ||||
\(541\) | −21798.0 | + | 221319.i | −0.0744770 | + | 0.756178i | 0.883327 | + | 0.468757i | \(0.155298\pi\) |
−0.957804 | + | 0.287421i | \(0.907202\pi\) | |||||||
\(542\) | 159459. | + | 36639.0i | 0.542812 | + | 0.124722i | ||||
\(543\) | 77640.4 | + | 77640.4i | 0.263323 | + | 0.263323i | ||||
\(544\) | −5418.56 | + | 15132.2i | −0.0183099 | + | 0.0511334i | ||||
\(545\) | 102228. | + | 102228.i | 0.344174 | + | 0.344174i | ||||
\(546\) | 158980. | − | 99572.2i | 0.533282 | − | 0.334005i | ||||
\(547\) | 23570.6 | − | 239316.i | 0.0787764 | − | 0.799831i | −0.871908 | − | 0.489670i | \(-0.837117\pi\) |
0.950684 | − | 0.310160i | \(-0.100383\pi\) | |||||||
\(548\) | −69375.2 | + | 9588.87i | −0.231017 | + | 0.0319305i | ||||
\(549\) | 60802.4 | + | 113753.i | 0.201733 | + | 0.377415i | ||||
\(550\) | 90610.9 | − | 45048.1i | 0.299540 | − | 0.148919i | ||||
\(551\) | −114255. | − | 76342.6i | −0.376332 | − | 0.251457i | ||||
\(552\) | 163637. | + | 107064.i | 0.537035 | + | 0.351371i | ||||
\(553\) | −292299. | + | 195308.i | −0.955822 | + | 0.638660i | ||||
\(554\) | −126614. | − | 466509.i | −0.412536 | − | 1.51999i | ||||
\(555\) | −131378. | − | 107819.i | −0.426518 | − | 0.350034i | ||||
\(556\) | 180289. | − | 83093.1i | 0.583203 | − | 0.268791i | ||||
\(557\) | −277082. | + | 518384.i | −0.893096 | + | 1.67086i | −0.163992 | + | 0.986462i | \(0.552437\pi\) |
−0.729104 | + | 0.684403i | \(0.760063\pi\) | |||||||
\(558\) | 65292.2 | + | 1926.76i | 0.209697 | + | 0.00618811i | ||||
\(559\) | 43370.8 | − | 104706.i | 0.138795 | − | 0.335081i | ||||
\(560\) | −189072. | − | 295487.i | −0.602909 | − | 0.942241i | ||||
\(561\) | −11687.7 | + | 4841.20i | −0.0371367 | + | 0.0153825i | ||||
\(562\) | −131285. | − | 345434.i | −0.415664 | − | 1.09368i | ||||
\(563\) | −81206.6 | − | 267702.i | −0.256197 | − | 0.844570i | −0.986825 | − | 0.161793i | \(-0.948272\pi\) |
0.730627 | − | 0.682776i | \(-0.239228\pi\) | |||||||
\(564\) | −65599.5 | + | 47651.1i | −0.206226 | + | 0.149801i | ||||
\(565\) | 31540.0 | + | 320231.i | 0.0988019 | + | 1.00315i | ||||
\(566\) | −24407.3 | + | 190126.i | −0.0761882 | + | 0.593485i | ||||
\(567\) | 36327.6 | − | 182631.i | 0.112998 | − | 0.568079i | ||||
\(568\) | −28436.5 | + | 320464.i | −0.0881412 | + | 0.993304i | ||||
\(569\) | 106172. | + | 533761.i | 0.327932 | + | 1.64863i | 0.695423 | + | 0.718601i | \(0.255217\pi\) |
−0.367491 | + | 0.930027i | \(0.619783\pi\) | |||||||
\(570\) | −187456. | + | 215148.i | −0.576966 | + | 0.662197i | ||||
\(571\) | −402582. | − | 122122.i | −1.23476 | − | 0.374560i | −0.395587 | − | 0.918428i | \(-0.629459\pi\) |
−0.839170 | + | 0.543869i | \(0.816959\pi\) | |||||||
\(572\) | 152004. | + | 171089.i | 0.464583 | + | 0.522915i | ||||
\(573\) | −83866.2 | + | 68827.2i | −0.255433 | + | 0.209629i | ||||
\(574\) | −97466.8 | − | 578733.i | −0.295824 | − | 1.75653i | ||||
\(575\) | −95906.3 | −0.290076 | ||||||||
\(576\) | 69325.6 | − | 72060.7i | 0.208953 | − | 0.217197i | ||||
\(577\) | − | 59294.7i | − | 0.178100i | −0.996027 | − | 0.0890501i | \(-0.971617\pi\) | ||
0.996027 | − | 0.0890501i | \(-0.0283831\pi\) | |||||||
\(578\) | −55319.4 | − | 328473.i | −0.165585 | − | 0.983204i | ||||
\(579\) | 284505. | + | 346670.i | 0.848658 | + | 1.03409i | ||||
\(580\) | 199290. | + | 11772.3i | 0.592421 | + | 0.0349948i | ||||
\(581\) | −116808. | + | 385065.i | −0.346036 | + | 1.14073i | ||||
\(582\) | 114811. | − | 131772.i | 0.338953 | − | 0.389024i | ||||
\(583\) | 8102.68 | − | 1611.72i | 0.0238392 | − | 0.00474191i | ||||
\(584\) | −78152.4 | + | 149677.i | −0.229148 | + | 0.438863i | ||||
\(585\) | −93802.8 | − | 18658.5i | −0.274097 | − | 0.0545212i | ||||
\(586\) | −10925.6 | + | 85107.7i | −0.0318165 | + | 0.247841i | ||||
\(587\) | −511536. | + | 50381.9i | −1.48457 | + | 0.146217i | −0.807571 | − | 0.589770i | \(-0.799218\pi\) |
−0.676995 | + | 0.735987i | \(0.736718\pi\) | |||||||
\(588\) | 26199.6 | + | 4152.23i | 0.0757775 | + | 0.0120095i | ||||
\(589\) | −206870. | + | 62753.4i | −0.596304 | + | 0.180887i | ||||
\(590\) | −133713. | − | 351822.i | −0.384122 | − | 1.01069i | ||||
\(591\) | −100591. | − | 242848.i | −0.287995 | − | 0.695280i | ||||
\(592\) | −180565. | − | 79022.8i | −0.515218 | − | 0.225481i | ||||
\(593\) | −16286.9 | − | 6746.24i | −0.0463157 | − | 0.0191846i | 0.359405 | − | 0.933182i | \(-0.382980\pi\) |
−0.405721 | + | 0.913997i | \(0.632980\pi\) | |||||||
\(594\) | 339685. | + | 10024.0i | 0.962728 | + | 0.0284098i | ||||
\(595\) | −18969.2 | − | 10139.3i | −0.0535816 | − | 0.0286400i | ||||
\(596\) | −185017. | + | 501360.i | −0.520858 | + | 1.41142i | ||||
\(597\) | −318318. | + | 387872.i | −0.893127 | + | 1.08828i | ||||
\(598\) | −56814.8 | − | 209334.i | −0.158876 | − | 0.585380i | ||||
\(599\) | 108926. | + | 163020.i | 0.303585 | + | 0.454346i | 0.951626 | − | 0.307259i | \(-0.0994117\pi\) |
−0.648042 | + | 0.761605i | \(0.724412\pi\) | |||||||
\(600\) | 21097.8 | − | 111701.i | 0.0586051 | − | 0.310281i | ||||
\(601\) | 124770. | − | 186732.i | 0.345431 | − | 0.516974i | −0.617554 | − | 0.786528i | \(-0.711876\pi\) |
0.962985 | + | 0.269554i | \(0.0868764\pi\) | |||||||
\(602\) | −141987. | + | 70590.0i | −0.391791 | + | 0.194783i | ||||
\(603\) | 103873. | − | 55521.3i | 0.285672 | − | 0.152695i | ||||
\(604\) | −214468. | − | 162381.i | −0.587879 | − | 0.445103i | ||||
\(605\) | −92339.8 | − | 9094.68i | −0.252277 | − | 0.0248472i | ||||
\(606\) | 411741. | − | 257882.i | 1.12119 | − | 0.702223i | ||||
\(607\) | −302650. | + | 302650.i | −0.821416 | + | 0.821416i | −0.986311 | − | 0.164895i | \(-0.947271\pi\) |
0.164895 | + | 0.986311i | \(0.447271\pi\) | |||||||
\(608\) | −141564. | + | 299123.i | −0.382953 | + | 0.809175i | ||||
\(609\) | 105615. | − | 105615.i | 0.284767 | − | 0.284767i | ||||
\(610\) | 604422. | + | 138879.i | 1.62435 | + | 0.373229i | ||||
\(611\) | 89502.0 | + | 8815.17i | 0.239745 | + | 0.0236129i | ||||
\(612\) | 1548.61 | − | 5932.23i | 0.00413466 | − | 0.0158385i | ||||
\(613\) | −433616. | + | 231772.i | −1.15394 | + | 0.616795i | −0.933490 | − | 0.358603i | \(-0.883253\pi\) |
−0.220452 | + | 0.975398i | \(0.570753\pi\) | |||||||
\(614\) | −18952.9 | + | 56430.3i | −0.0502734 | + | 0.149684i | ||||
\(615\) | 385330. | − | 576688.i | 1.01879 | − | 1.52472i | ||||
\(616\) | −3096.70 | − | 320185.i | −0.00816090 | − | 0.843801i | ||||
\(617\) | −72681.5 | − | 108776.i | −0.190921 | − | 0.285733i | 0.723643 | − | 0.690174i | \(-0.242466\pi\) |
−0.914564 | + | 0.404441i | \(0.867466\pi\) | |||||||
\(618\) | 54406.9 | − | 94941.1i | 0.142455 | − | 0.248586i | ||||
\(619\) | 179964. | − | 219287.i | 0.469683 | − | 0.572311i | −0.483253 | − | 0.875481i | \(-0.660545\pi\) |
0.952936 | + | 0.303170i | \(0.0980450\pi\) | |||||||
\(620\) | 213214. | − | 230609.i | 0.554668 | − | 0.599919i | ||||
\(621\) | −284053. | − | 151829.i | −0.736574 | − | 0.393707i | ||||
\(622\) | −426166. | + | 401735.i | −1.10153 | + | 1.03839i | ||||
\(623\) | 595415. | + | 246629.i | 1.53406 | + | 0.635430i | ||||
\(624\) | 256308. | − | 20121.6i | 0.658253 | − | 0.0516766i | ||||
\(625\) | −184625. | − | 445723.i | −0.472639 | − | 1.14105i | ||||
\(626\) | 190949. | − | 425073.i | 0.487269 | − | 1.08471i | ||||
\(627\) | −249250. | + | 75609.1i | −0.634015 | + | 0.192326i | ||||
\(628\) | 545143. | − | 130821.i | 1.38227 | − | 0.331710i | ||||
\(629\) | −12026.8 | + | 1184.54i | −0.0303983 | + | 0.00299397i | ||||
\(630\) | 81801.1 | + | 105897.i | 0.206100 | + | 0.266809i | ||||
\(631\) | −218813. | − | 43524.6i | −0.549558 | − | 0.109314i | −0.0875018 | − | 0.996164i | \(-0.527888\pi\) |
−0.462057 | + | 0.886850i | \(0.652888\pi\) | |||||||
\(632\) | −479007. | + | 51860.2i | −1.19924 | + | 0.129838i | ||||
\(633\) | 602275. | − | 119800.i | 1.50310 | − | 0.298985i | ||||
\(634\) | −88147.6 | + | 6062.95i | −0.219297 | + | 0.0150836i | ||||
\(635\) | −123910. | + | 408478.i | −0.307298 | + | 1.01303i | ||||
\(636\) | 4051.00 | − | 8349.91i | 0.0100149 | − | 0.0206428i | ||||
\(637\) | −18666.2 | − | 22744.9i | −0.0460021 | − | 0.0560538i | ||||
\(638\) | 148461. | + | 105663.i | 0.364730 | + | 0.259586i | ||||
\(639\) | − | 122720.i | − | 0.300548i | ||||||
\(640\) | −42262.3 | − | 478924.i | −0.103179 | − | 1.16925i | ||||
\(641\) | 583222. | 1.41944 | 0.709722 | − | 0.704482i | \(-0.248821\pi\) | ||||
0.709722 | + | 0.704482i | \(0.248821\pi\) | |||||||
\(642\) | −284620. | + | 399903.i | −0.690551 | + | 0.970253i | ||||
\(643\) | 93374.9 | − | 76630.8i | 0.225844 | − | 0.185345i | −0.514666 | − | 0.857391i | \(-0.672084\pi\) |
0.740510 | + | 0.672045i | \(0.234584\pi\) | |||||||
\(644\) | −132467. | + | 273040.i | −0.319400 | + | 0.658346i | ||||
\(645\) | −179324. | − | 54397.2i | −0.431041 | − | 0.130755i | ||||
\(646\) | 1392.34 | + | 20242.9i | 0.00333642 | + | 0.0485073i | ||||
\(647\) | −27615.1 | − | 138830.i | −0.0659687 | − | 0.331647i | 0.933681 | − | 0.358105i | \(-0.116577\pi\) |
−0.999650 | + | 0.0264582i | \(0.991577\pi\) | |||||||
\(648\) | 159986. | − | 198834.i | 0.381006 | − | 0.473523i | ||||
\(649\) | 67022.1 | − | 336943.i | 0.159121 | − | 0.799957i | ||||
\(650\) | −99787.3 | + | 77081.8i | −0.236183 | + | 0.182442i | ||||
\(651\) | −23031.8 | − | 233845.i | −0.0543457 | − | 0.551781i | ||||
\(652\) | −512746. | + | 123047.i | −1.20617 | + | 0.289450i | ||||
\(653\) | −199192. | − | 656649.i | −0.467139 | − | 1.53995i | −0.801789 | − | 0.597608i | \(-0.796118\pi\) |
0.334650 | − | 0.942343i | \(-0.391382\pi\) | |||||||
\(654\) | 135226. | + | 60745.3i | 0.316158 | + | 0.142023i | ||||
\(655\) | −479984. | + | 198816.i | −1.11878 | + | 0.463413i | ||||
\(656\) | 248706. | − | 764930.i | 0.577934 | − | 1.77752i | ||||
\(657\) | 24647.9 | − | 59505.3i | 0.0571017 | − | 0.137856i | ||||
\(658\) | −86311.4 | − | 91560.3i | −0.199350 | − | 0.211473i | ||||
\(659\) | 134633. | − | 251881.i | 0.310014 | − | 0.579994i | −0.677872 | − | 0.735180i | \(-0.737098\pi\) |
0.987885 | + | 0.155186i | \(0.0495976\pi\) | |||||||
\(660\) | 256893. | − | 277851.i | 0.589746 | − | 0.637858i | ||||
\(661\) | 184627. | + | 151520.i | 0.422564 | + | 0.346789i | 0.821519 | − | 0.570181i | \(-0.193127\pi\) |
−0.398955 | + | 0.916971i | \(0.630627\pi\) | |||||||
\(662\) | 111335. | + | 63801.7i | 0.254048 | + | 0.145585i | ||||
\(663\) | 13107.0 | − | 8757.81i | 0.0298178 | − | 0.0199236i | ||||
\(664\) | −386176. | + | 393719.i | −0.875888 | + | 0.892996i | ||||
\(665\) | −368216. | − | 246034.i | −0.832645 | − | 0.556355i | ||||
\(666\) | 71270.7 | + | 23937.2i | 0.160680 | + | 0.0539666i | ||||
\(667\) | −81413.3 | − | 152314.i | −0.182997 | − | 0.342363i | ||||
\(668\) | 154853. | − | 593190.i | 0.347029 | − | 1.32935i | ||||
\(669\) | −22538.4 | + | 228836.i | −0.0503582 | + | 0.511295i | ||||
\(670\) | 126816. | − | 551923.i | 0.282504 | − | 1.22950i | ||||
\(671\) | 400275. | + | 400275.i | 0.889024 | + | 0.889024i | ||||
\(672\) | −288867. | − | 214347.i | −0.639675 | − | 0.474657i | ||||
\(673\) | 255206. | + | 255206.i | 0.563456 | + | 0.563456i | 0.930287 | − | 0.366831i | \(-0.119557\pi\) |
−0.366831 | + | 0.930287i | \(0.619557\pi\) | |||||||
\(674\) | −112130. | − | 179031.i | −0.246833 | − | 0.394101i | ||||
\(675\) | −18352.0 | + | 186331.i | −0.0402788 | + | 0.408958i | ||||
\(676\) | 136970. | + | 103704.i | 0.299730 | + | 0.226936i | ||||
\(677\) | 154623. | + | 289279.i | 0.337362 | + | 0.631161i | 0.992207 | − | 0.124603i | \(-0.0397658\pi\) |
−0.654844 | + | 0.755764i | \(0.727266\pi\) | |||||||
\(678\) | 146887. | + | 295452.i | 0.319538 | + | 0.642728i | ||||
\(679\) | 225522. | + | 150689.i | 0.489158 | + | 0.326845i | ||||
\(680\) | −16613.9 | − | 24351.3i | −0.0359297 | − | 0.0526628i | ||||
\(681\) | 533955. | − | 356777.i | 1.15136 | − | 0.769312i | ||||
\(682\) | 276666. | − | 75089.3i | 0.594822 | − | 0.161439i | ||||
\(683\) | −239327. | − | 196411.i | −0.513039 | − | 0.421041i | 0.341925 | − | 0.939727i | \(-0.388921\pi\) |
−0.854964 | + | 0.518687i | \(0.826421\pi\) | |||||||
\(684\) | 43702.7 | − | 118426.i | 0.0934105 | − | 0.253124i | ||||
\(685\) | 60549.7 | − | 113280.i | 0.129042 | − | 0.241420i | ||||
\(686\) | −14443.0 | + | 489432.i | −0.0306908 | + | 1.04002i | ||||
\(687\) | 58635.6 | − | 141559.i | 0.124236 | − | 0.299932i | ||||
\(688\) | −217278. | − | 4309.16i | −0.459028 | − | 0.00910365i | ||||
\(689\) | −9510.72 | + | 3939.47i | −0.0200343 | + | 0.00829849i | ||||
\(690\) | −335252. | + | 127415.i | −0.704163 | + | 0.267623i | ||||
\(691\) | −85485.5 | − | 281808.i | −0.179034 | − | 0.590197i | −0.999820 | − | 0.0189610i | \(-0.993964\pi\) |
0.820786 | − | 0.571236i | \(-0.193536\pi\) | |||||||
\(692\) | −363138. | − | 57551.7i | −0.758333 | − | 0.120184i | ||||
\(693\) | 11971.7 | + | 121551.i | 0.0249282 | + | 0.253100i | ||||
\(694\) | 357095. | + | 45841.8i | 0.741421 | + | 0.0951794i | ||||
\(695\) | −71030.1 | + | 357093.i | −0.147053 | + | 0.739284i | ||||
\(696\) | 195308. | − | 61314.8i | 0.403182 | − | 0.126575i | ||||
\(697\) | −9621.41 | − | 48370.1i | −0.0198049 | − | 0.0995661i | ||||
\(698\) | 180318. | + | 157109.i | 0.370107 | + | 0.322471i | ||||
\(699\) | −6743.80 | − | 2045.71i | −0.0138023 | − | 0.00418687i | ||||
\(700\) | 176109. | + | 10402.9i | 0.359407 | + | 0.0212305i | ||||
\(701\) | 9867.13 | − | 8097.74i | 0.0200796 | − | 0.0164789i | −0.624300 | − | 0.781185i | \(-0.714616\pi\) |
0.644380 | + | 0.764706i | \(0.277116\pi\) | |||||||
\(702\) | −417576. | + | 70325.7i | −0.847347 | + | 0.142705i | ||||
\(703\) | −248819. | −0.503469 | ||||||||
\(704\) | 199347. | − | 390957.i | 0.402220 | − | 0.788831i | ||||
\(705\) | − | 148704.i | − | 0.299189i | ||||||
\(706\) | −500191. | + | 84239.2i | −1.00352 | + | 0.169007i | ||||
\(707\) | 478315. | + | 582829.i | 0.956920 | + | 1.16601i | ||||
\(708\) | −256327. | − | 288511.i | −0.511361 | − | 0.575567i | ||||
\(709\) | 52409.4 | − | 172771.i | 0.104260 | − | 0.343699i | −0.889253 | − | 0.457415i | \(-0.848775\pi\) |
0.993513 | + | 0.113716i | \(0.0362755\pi\) | |||||||
\(710\) | −444880. | − | 387619.i | −0.882523 | − | 0.768933i | ||||
\(711\) | 180252. | − | 35854.3i | 0.356567 | − | 0.0709255i | ||||
\(712\) | 566920. | + | 677329.i | 1.11831 | + | 1.33610i | ||||
\(713\) | −266482. | − | 53006.6i | −0.524190 | − | 0.104268i | ||||
\(714\) | −21875.6 | − | 2808.26i | −0.0429104 | − | 0.00550859i | ||||
\(715\) | −417720. | + | 41141.8i | −0.817095 | + | 0.0804769i | ||||
\(716\) | −343992. | + | 249874.i | −0.671000 | + | 0.487410i | ||||
\(717\) | −458703. | + | 139146.i | −0.892263 | + | 0.270665i | ||||
\(718\) | −282811. | + | 107485.i | −0.548589 | + | 0.208496i | ||||
\(719\) | 381009. | + | 919836.i | 0.737016 | + | 1.77931i | 0.617633 | + | 0.786467i | \(0.288092\pi\) |
0.119384 | + | 0.992848i | \(0.461908\pi\) | |||||||
\(720\) | 32204.8 | + | 180544.i | 0.0621234 | + | 0.348272i | ||||
\(721\) | 156893. | + | 64987.0i | 0.301809 | + | 0.125013i | ||||
\(722\) | 3053.45 | − | 103473.i | 0.00585756 | − | 0.198496i | ||||
\(723\) | −586916. | − | 313713.i | −1.12279 | − | 0.600145i | ||||
\(724\) | −212098. | + | 97753.5i | −0.404631 | + | 0.186490i | ||||
\(725\) | −63691.3 | + | 77608.0i | −0.121172 | + | 0.147649i | ||||
\(726\) | −91820.6 | + | 24920.8i | −0.174208 | + | 0.0472812i | ||||
\(727\) | 400732. | + | 599737.i | 0.758202 | + | 1.13473i | 0.986916 | + | 0.161236i | \(0.0515480\pi\) |
−0.228714 | + | 0.973494i | \(0.573452\pi\) | |||||||
\(728\) | 81620.6 | + | 390555.i | 0.154006 | + | 0.736919i | ||||
\(729\) | −322517. | + | 482680.i | −0.606872 | + | 0.908248i | ||||
\(730\) | −137864. | − | 277303.i | −0.258705 | − | 0.520367i | ||||
\(731\) | −11751.4 | + | 6281.28i | −0.0219916 | + | 0.0117547i | ||||
\(732\) | 629928. | − | 87067.1i | 1.17563 | − | 0.162492i | ||||
\(733\) | 802757. | + | 79064.7i | 1.49409 | + | 0.147155i | 0.811803 | − | 0.583931i | \(-0.198486\pi\) |
0.682285 | + | 0.731086i | \(0.260986\pi\) | |||||||
\(734\) | 346718. | + | 553580.i | 0.643553 | + | 1.02752i | ||||
\(735\) | −34401.6 | + | 34401.6i | −0.0636801 | + | 0.0636801i | ||||
\(736\) | −334136. | + | 247686.i | −0.616833 | + | 0.457242i | ||||
\(737\) | 365508. | − | 365508.i | 0.672918 | − | 0.672918i | ||||
\(738\) | −68706.8 | + | 299023.i | −0.126150 | + | 0.549025i | ||||
\(739\) | −55698.9 | − | 5485.87i | −0.101990 | − | 0.0100451i | 0.0468933 | − | 0.998900i | \(-0.485068\pi\) |
−0.148883 | + | 0.988855i | \(0.547568\pi\) | |||||||
\(740\) | 311889. | − | 182761.i | 0.569556 | − | 0.333748i | ||||
\(741\) | 286235. | − | 152996.i | 0.521299 | − | 0.278640i | ||||
\(742\) | 13653.4 | + | 4585.67i | 0.0247989 | + | 0.00832904i | ||||
\(743\) | 195621. | − | 292767.i | 0.354354 | − | 0.530329i | −0.610877 | − | 0.791725i | \(-0.709183\pi\) |
0.965231 | + | 0.261397i | \(0.0841831\pi\) | |||||||
\(744\) | 120358. | − | 298709.i | 0.217435 | − | 0.539638i | ||||
\(745\) | −544533. | − | 814952.i | −0.981097 | − | 1.46832i | ||||
\(746\) | 529013. | + | 303156.i | 0.950581 | + | 0.544740i | ||||
\(747\) | 133455. | − | 162615.i | 0.239162 | − | 0.291420i | ||||
\(748\) | −1053.76 | − | 26886.9i | −0.00188339 | − | 0.0480548i | ||||
\(749\) | −671808. | − | 359089.i | −1.19752 | − | 0.640086i | ||||
\(750\) | −235535. | − | 249859.i | −0.418729 | − | 0.444194i | ||||
\(751\) | 80836.4 | + | 33483.5i | 0.143327 | + | 0.0593678i | 0.453194 | − | 0.891412i | \(-0.350285\pi\) |
−0.309867 | + | 0.950780i | \(0.600285\pi\) | |||||||
\(752\) | −46778.5 | − | 165988.i | −0.0827201 | − | 0.293522i | ||||
\(753\) | 245589. | + | 592903.i | 0.433130 | + | 1.04567i | ||||
\(754\) | −207125. | − | 93043.6i | −0.364326 | − | 0.163660i | ||||
\(755\) | 472125. | − | 143218.i | 0.828254 | − | 0.251248i | ||||
\(756\) | 505127. | + | 309610.i | 0.883806 | + | 0.541716i | ||||
\(757\) | 646443. | − | 63669.0i | 1.12808 | − | 0.111106i | 0.483284 | − | 0.875464i | \(-0.339444\pi\) |
0.644792 | + | 0.764358i | \(0.276944\pi\) | |||||||
\(758\) | 548965. | − | 424054.i | 0.955446 | − | 0.738045i | ||||
\(759\) | −321073. | − | 63865.4i | −0.557341 | − | 0.110862i | ||||
\(760\) | −291274. | − | 532484.i | −0.504284 | − | 0.921891i | ||||
\(761\) | 667404. | − | 132755.i | 1.15244 | − | 0.229235i | 0.418351 | − | 0.908285i | \(-0.362608\pi\) |
0.734092 | + | 0.679050i | \(0.237608\pi\) | |||||||
\(762\) | 30034.5 | + | 436664.i | 0.0517262 | + | 0.752033i | ||||
\(763\) | −66783.1 | + | 220154.i | −0.114714 | + | 0.378163i | ||||
\(764\) | −75582.9 | − | 218031.i | −0.129490 | − | 0.373536i | ||||
\(765\) | 7133.52 | + | 8692.22i | 0.0121894 | + | 0.0148528i | ||||
\(766\) | 382565. | − | 537520.i | 0.652000 | − | 0.916088i | ||||
\(767\) | 428081.i | 0.727671i | ||||||||
\(768\) | −214973. | − | 443653.i | −0.364470 | − | 0.752178i | ||||
\(769\) | −58758.0 | −0.0993606 | −0.0496803 | − | 0.998765i | \(-0.515820\pi\) | ||||
−0.0496803 | + | 0.998765i | \(0.515820\pi\) | |||||||
\(770\) | 478456. | + | 340527.i | 0.806975 | + | 0.574342i | ||||
\(771\) | −697147. | + | 572134.i | −1.17278 | + | 0.962473i | ||||
\(772\) | −901257. | + | 312430.i | −1.51222 | + | 0.524226i | ||||
\(773\) | −600072. | − | 182030.i | −1.00426 | − | 0.304638i | −0.255016 | − | 0.966937i | \(-0.582081\pi\) |
−0.749240 | + | 0.662299i | \(0.769581\pi\) | |||||||
\(774\) | 82700.9 | − | 5688.31i | 0.138047 | − | 0.00949514i | ||||
\(775\) | 30813.6 | + | 154910.i | 0.0513026 | + | 0.257915i | ||||
\(776\) | 178397. | + | 326131.i | 0.296254 | + | 0.541588i | ||||
\(777\) | 52763.2 | − | 265258.i | 0.0873955 | − | 0.439367i | ||||
\(778\) | −401473. | − | 519732.i | −0.663280 | − | 0.858658i | ||||
\(779\) | −99527.2 | − | 1.01052e6i | −0.164009 | − | 1.66521i | ||||
\(780\) | −246412. | + | 402020.i | −0.405017 | + | 0.660783i | ||||
\(781\) | −156343. | − | 515395.i | −0.256317 | − | 0.844964i | ||||
\(782\) | −10450.0 | + | 23262.8i | −0.0170884 | + | 0.0380407i | ||||
\(783\) | −311501. | + | 129028.i | −0.508084 | + | 0.210455i | ||||
\(784\) | −27578.2 | + | 49221.8i | −0.0448676 | + | 0.0800803i | ||||
\(785\) | −393478. | + | 949939.i | −0.638529 | + | 1.54155i | ||||
\(786\) | −387638. | + | 365415.i | −0.627453 | + | 0.591482i | ||||
\(787\) | 86614.3 | − | 162044.i | 0.139843 | − | 0.261628i | −0.802244 | − | 0.596996i | \(-0.796361\pi\) |
0.942087 | + | 0.335368i | \(0.108861\pi\) | |||||||
\(788\) | 558658. | − | 21895.2i | 0.899692 | − | 0.0352612i | ||||
\(789\) | −48908.6 | − | 40138.3i | −0.0785654 | − | 0.0644770i | ||||
\(790\) | 439359. | − | 766690.i | 0.703988 | − | 1.22847i | ||||
\(791\) | −425759. | + | 284483.i | −0.680473 | + | 0.454677i | ||||
\(792\) | −62561.2 | + | 155267.i | −0.0997367 | + | 0.247530i | ||||
\(793\) | −586494. | − | 391883.i | −0.932647 | − | 0.623175i | ||||
\(794\) | −134184. | + | 399521.i | −0.212843 | + | 0.633721i | ||||
\(795\) | 8023.79 | + | 15011.4i | 0.0126954 | + | 0.0237514i | ||||
\(796\) | −539569. | − | 920800.i | −0.851572 | − | 1.45325i | ||||
\(797\) | 100425. | − | 1.01963e6i | 0.158097 | − | 1.60519i | −0.509368 | − | 0.860549i | \(-0.670121\pi\) |
0.667465 | − | 0.744641i | \(-0.267379\pi\) | |||||||
\(798\) | −442561. | − | 101688.i | −0.694972 | − | 0.159684i | ||||
\(799\) | −7476.83 | − | 7476.83i | −0.0117118 | − | 0.0117118i | ||||
\(800\) | 207356. | + | 124353.i | 0.323994 | + | 0.194302i | ||||
\(801\) | −238240. | − | 238240.i | −0.371321 | − | 0.371321i | ||||
\(802\) | −297733. | + | 186476.i | −0.462891 | + | 0.289918i | ||||
\(803\) | 27706.5 | − | 281309.i | 0.0429685 | − | 0.436267i | ||||
\(804\) | −79504.7 | − | 575214.i | −0.122993 | − | 0.889852i | ||||
\(805\) | −262376. | − | 490871.i | −0.404885 | − | 0.757487i | ||||
\(806\) | −319868. | + | 159025.i | −0.492380 | + | 0.244792i | ||||
\(807\) | −33428.5 | − | 22336.2i | −0.0513298 | − | 0.0342975i | ||||
\(808\) | 211389. | + | 1.01150e6i | 0.323787 | + | 1.54932i | ||||
\(809\) | −447025. | + | 298693.i | −0.683023 | + | 0.456381i | −0.848056 | − | 0.529907i | \(-0.822227\pi\) |
0.165033 | + | 0.986288i | \(0.447227\pi\) | |||||||
\(810\) | 122600. | + | 451721.i | 0.186862 | + | 0.688494i | ||||
\(811\) | 288250. | + | 236560.i | 0.438255 | + | 0.359667i | 0.827498 | − | 0.561468i | \(-0.189763\pi\) |
−0.389243 | + | 0.921135i | \(0.627263\pi\) | |||||||
\(812\) | 132975. | + | 288519.i | 0.201677 | + | 0.437584i | ||||
\(813\) | −145046. | + | 271363.i | −0.219445 | + | 0.410553i | ||||
\(814\) | 329815. | + | 9732.76i | 0.497762 | + | 0.0146888i | ||||
\(815\) | 370094. | − | 893485.i | 0.557181 | − | 1.34515i | ||||
\(816\) | −24795.2 | − | 17288.5i | −0.0372381 | − | 0.0259643i | ||||
\(817\) | −253462. | + | 104988.i | −0.379725 | + | 0.157287i | ||||
\(818\) | −295950. | − | 778696.i | −0.442294 | − | 1.16375i | ||||
\(819\) | −44179.7 | − | 145641.i | −0.0658650 | − | 0.217128i | ||||
\(820\) | 866991. | + | 1.19356e6i | 1.28940 | + | 1.77507i | ||||
\(821\) | −44662.9 | − | 453470.i | −0.0662614 | − | 0.672764i | −0.969742 | − | 0.244134i | \(-0.921496\pi\) |
0.903480 | − | 0.428630i | \(-0.141004\pi\) | |||||||
\(822\) | 16770.4 | − | 130636.i | 0.0248198 | − | 0.193340i | ||||
\(823\) | 93140.4 | − | 468248.i | 0.137511 | − | 0.691316i | −0.849101 | − | 0.528231i | \(-0.822856\pi\) |
0.986612 | − | 0.163085i | \(-0.0521444\pi\) | |||||||
\(824\) | 149384. | + | 178477.i | 0.220014 | + | 0.262862i | ||||
\(825\) | 37126.0 | + | 186645.i | 0.0545470 | + | 0.274226i | ||||
\(826\) | 393450. | − | 451572.i | 0.576672 | − | 0.661861i | ||||
\(827\) | −14451.1 | − | 4383.69i | −0.0211295 | − | 0.00640957i | 0.279702 | − | 0.960087i | \(-0.409764\pi\) |
−0.300832 | + | 0.953677i | \(0.597264\pi\) | |||||||
\(828\) | 118605. | − | 105375.i | 0.172999 | − | 0.153701i | ||||
\(829\) | 852693. | − | 699787.i | 1.24075 | − | 1.01826i | 0.241899 | − | 0.970302i | \(-0.422230\pi\) |
0.998850 | − | 0.0479540i | \(-0.0152701\pi\) | |||||||
\(830\) | −167980. | − | 997423.i | −0.243838 | − | 1.44785i | ||||
\(831\) | 909062. | 1.31641 | ||||||||
\(832\) | −148587. | + | 526261.i | −0.214652 | + | 0.760247i | ||||
\(833\) | 3459.41i | 0.00498554i | ||||||||
\(834\) | 62001.3 | + | 368148.i | 0.0891391 | + | 0.529286i | ||||
\(835\) | 713312. | + | 869173.i | 1.02307 | + | 1.24662i | ||||
\(836\) | 32668.3 | − | 553036.i | 0.0467428 | − | 0.791299i | ||||
\(837\) | −153976. | + | 507591.i | −0.219787 | + | 0.724541i | ||||
\(838\) | −736358. | + | 845135.i | −1.04858 | + | 1.20348i | ||||
\(839\) | 422421. | − | 84024.7i | 0.600097 | − | 0.119367i | 0.114312 | − | 0.993445i | \(-0.463534\pi\) |
0.485785 | + | 0.874078i | \(0.338534\pi\) | |||||||
\(840\) | 629431. | − | 197603.i | 0.892051 | − | 0.280050i | ||||
\(841\) | 516371. | + | 102713.i | 0.730079 | + | 0.145222i | ||||
\(842\) | −127703. | + | 994775.i | −0.180127 | + | 1.40314i | ||||
\(843\) | 691617. | − | 68118.3i | 0.973219 | − | 0.0958537i | ||||
\(844\) | −204447. | + | 1.29001e6i | −0.287009 | + | 1.81096i | ||||
\(845\) | −301522. | + | 91465.8i | −0.422285 | + | 0.128099i | ||||
\(846\) | 23370.0 | + | 61490.6i | 0.0326526 | + | 0.0859148i | ||||
\(847\) | −56504.4 | − | 136414.i | −0.0787617 | − | 0.190148i | ||||
\(848\) | 13678.6 | + | 14232.1i | 0.0190217 | + | 0.0197915i | ||||
\(849\) | −333048. | − | 137953.i | −0.462053 | − | 0.191389i | ||||
\(850\) | 14818.4 | + | 437.287i | 0.0205099 | + | 0.000605241i | ||||
\(851\) | −275800. | − | 147418.i | −0.380833 | − | 0.203560i | ||||
\(852\) | −567620. | − | 209469.i | −0.781950 | − | 0.288563i | ||||
\(853\) | −534296. | + | 651042.i | −0.734318 | + | 0.894768i | −0.997550 | − | 0.0699641i | \(-0.977712\pi\) |
0.263232 | + | 0.964733i | \(0.415212\pi\) | |||||||
\(854\) | 258498. | + | 952435.i | 0.354439 | + | 1.30593i | ||||
\(855\) | 128624. | + | 192499.i | 0.175950 | + | 0.263327i | ||||
\(856\) | −588392. | − | 862417.i | −0.803006 | − | 1.17698i | ||||
\(857\) | −551776. | + | 825791.i | −0.751278 | + | 1.12437i | 0.236971 | + | 0.971517i | \(0.423845\pi\) |
−0.988249 | + | 0.152851i | \(0.951155\pi\) | |||||||
\(858\) | −385396. | + | 191603.i | −0.523519 | + | 0.260273i | ||||
\(859\) | −618829. | + | 330771.i | −0.838657 | + | 0.448272i | −0.834031 | − | 0.551718i | \(-0.813973\pi\) |
−0.00462614 | + | 0.999989i | \(0.501473\pi\) | |||||||
\(860\) | 240595. | − | 317771.i | 0.325304 | − | 0.429652i | ||||
\(861\) | 1.09839e6 | + | 108182.i | 1.48166 | + | 0.145931i | ||||
\(862\) | −728176. | + | 456071.i | −0.979991 | + | 0.613787i | ||||
\(863\) | 361390. | − | 361390.i | 0.485238 | − | 0.485238i | −0.421562 | − | 0.906800i | \(-0.638518\pi\) |
0.906800 | + | 0.421562i | \(0.138518\pi\) | |||||||
\(864\) | 417278. | + | 696571.i | 0.558982 | + | 0.933121i | ||||
\(865\) | 476821. | − | 476821.i | 0.637269 | − | 0.637269i | ||||
\(866\) | 831197. | + | 190985.i | 1.10833 | + | 0.254661i | ||||
\(867\) | 623414. | + | 61400.9i | 0.829351 | + | 0.0816839i | ||||
\(868\) | 483581. | + | 126239.i | 0.641845 | + | 0.167554i | ||||
\(869\) | 711337. | − | 380217.i | 0.941967 | − | 0.503492i | ||||
\(870\) | −119535. | + | 355905.i | −0.157927 | + | 0.470213i | ||||
\(871\) | −357845. | + | 535552.i | −0.471692 | + | 0.705937i | ||||
\(872\) | −220789. | + | 225102.i | −0.290366 | + | 0.296037i | ||||
\(873\) | −78778.2 | − | 117900.i | −0.103366 | − | 0.154698i | ||||
\(874\) | −261066. | + | 455564.i | −0.341764 | + | 0.596385i | ||||
\(875\) | 338062. | − | 411929.i | 0.441550 | − | 0.538030i | ||||
\(876\) | −233160. | − | 215573.i | −0.303841 | − | 0.280922i | ||||
\(877\) | 423336. | + | 226278.i | 0.550410 | + | 0.294200i | 0.723063 | − | 0.690783i | \(-0.242734\pi\) |
−0.172653 | + | 0.984983i | \(0.555234\pi\) | |||||||
\(878\) | 21189.9 | − | 19975.1i | 0.0274878 | − | 0.0259120i | ||||
\(879\) | −149085. | − | 61753.0i | −0.192955 | − | 0.0799246i | ||||
\(880\) | 365263. | + | 717214.i | 0.471672 | + | 0.926154i | ||||
\(881\) | 293815. | + | 709333.i | 0.378550 | + | 0.913900i | 0.992238 | + | 0.124352i | \(0.0396851\pi\) |
−0.613689 | + | 0.789548i | \(0.710315\pi\) | |||||||
\(882\) | 8818.89 | − | 19631.8i | 0.0113364 | − | 0.0252362i | ||||
\(883\) | −665872. | + | 201990.i | −0.854023 | + | 0.259065i | −0.686793 | − | 0.726853i | \(-0.740982\pi\) |
−0.167230 | + | 0.985918i | \(0.553482\pi\) | |||||||
\(884\) | 7823.94 | + | 32603.1i | 0.0100120 | + | 0.0417209i | ||||
\(885\) | 704408. | − | 69378.1i | 0.899368 | − | 0.0885801i | ||||
\(886\) | 36.7000 | + | 47.5105i | 4.67518e−5 | + | 6.05232e-5i | ||||
\(887\) | 185204. | + | 36839.3i | 0.235398 | + | 0.0468235i | 0.311379 | − | 0.950286i | \(-0.399209\pi\) |
−0.0759817 | + | 0.997109i | \(0.524209\pi\) | |||||||
\(888\) | 232368. | − | 288792.i | 0.294680 | − | 0.366235i | ||||
\(889\) | −666215. | + | 132518.i | −0.842967 | + | 0.167677i | ||||
\(890\) | −1.61615e6 | + | 111162.i | −2.04034 | + | 0.140338i | ||||
\(891\) | −124019. | + | 408837.i | −0.156219 | + | 0.514985i | ||||
\(892\) | −440029. | − | 213482.i | −0.553033 | − | 0.268307i | ||||
\(893\) | −138111. | − | 168288.i | −0.173191 | − | 0.211034i | ||||
\(894\) | −818809. | − | 582764.i | −1.02449 | − | 0.729152i | ||||
\(895\) | − | 779779.i | − | 0.973477i | ||||||
\(896\) | 640428. | − | 418573.i | 0.797727 | − | 0.521381i | ||||
\(897\) | 407919. | 0.506978 | ||||||||
\(898\) | −634714. | + | 891800.i | −0.787092 | + | 1.10590i | ||||
\(899\) | −219864. | + | 180437.i | −0.272041 | + | 0.223258i | ||||
\(900\) | −82978.2 | − | 40257.3i | −0.102442 | − | 0.0497004i | ||||
\(901\) | 1158.21 | + | 351.338i | 0.00142671 | + | 0.000432789i | ||||
\(902\) | 92398.4 | + | 1.34336e6i | 0.113567 | + | 1.65112i | ||||
\(903\) | −58176.2 | − | 292472.i | −0.0713461 | − | 0.358681i | ||||
\(904\) | −697715. | + | 75538.9i | −0.853771 | + | 0.0924345i | ||||
\(905\) | 83562.2 | − | 420096.i | 0.102026 | − | 0.512922i | ||||
\(906\) | 400359. | − | 309262.i | 0.487746 | − | 0.376765i | ||||
\(907\) | 3230.75 | + | 32802.4i | 0.00392725 | + | 0.0398741i | 0.996949 | − | 0.0780604i | \(-0.0248727\pi\) |
−0.993021 | + | 0.117935i | \(0.962373\pi\) | |||||||
\(908\) | 318733. | + | 1.32819e6i | 0.386594 | + | 1.61097i | ||||
\(909\) | −114421. | − | 377195.i | −0.138477 | − | 0.456497i | ||||
\(910\) | −667516. | − | 299858.i | −0.806081 | − | 0.362103i | ||||
\(911\) | −306141. | + | 126808.i | −0.368879 | + | 0.152795i | −0.559420 | − | 0.828885i | \(-0.688976\pi\) |
0.190540 | + | 0.981679i | \(0.438976\pi\) | |||||||
\(912\) | −473162. | − | 404278.i | −0.568879 | − | 0.486061i | ||||
\(913\) | 353308. | − | 852962.i | 0.423850 | − | 1.02326i | ||||
\(914\) | −456327. | − | 484078.i | −0.546240 | − | 0.579459i | ||||
\(915\) | −549792. | + | 1.02859e6i | −0.656684 | + | 1.22857i | ||||
\(916\) | 239293. | + | 221243.i | 0.285193 | + | 0.263681i | ||||
\(917\) | −639078. | − | 524477.i | −0.760002 | − | 0.623718i | ||||
\(918\) | 43196.5 | + | 24754.2i | 0.0512582 | + | 0.0293740i | ||||
\(919\) | −952895. | + | 636704.i | −1.12827 | + | 0.753888i | −0.972268 | − | 0.233869i | \(-0.924861\pi\) |
−0.156004 | + | 0.987756i | \(0.549861\pi\) | |||||||
\(920\) | −7377.45 | − | 762796.i | −0.00871627 | − | 0.901224i | ||||
\(921\) | −93082.6 | − | 62195.8i | −0.109736 | − | 0.0733232i | ||||
\(922\) | −906286. | − | 304388.i | −1.06611 | − | 0.358068i | ||||
\(923\) | 316363. | + | 591873.i | 0.371349 | + | 0.694745i | ||||
\(924\) | 582648. | + | 152100.i | 0.682436 | + | 0.178150i | ||||
\(925\) | −17818.8 | + | 180917.i | −0.0208255 | + | 0.211445i | ||||
\(926\) | −187977. | + | 818106.i | −0.219221 | + | 0.954086i | ||||
\(927\) | −62776.5 | − | 62776.5i | −0.0730529 | − | 0.0730529i | ||||
\(928\) | −21470.2 | + | 434873.i | −0.0249310 | + | 0.504971i | ||||
\(929\) | −487721. | − | 487721.i | −0.565119 | − | 0.565119i | 0.365638 | − | 0.930757i | \(-0.380851\pi\) |
−0.930757 | + | 0.365638i | \(0.880851\pi\) | |||||||
\(930\) | 313517. | + | 500571.i | 0.362489 | + | 0.578761i | ||||
\(931\) | −6981.37 | + | 70883.0i | −0.00805455 | + | 0.0817792i | ||||
\(932\) | 9048.01 | − | 11950.4i | 0.0104165 | − | 0.0137578i | ||||
\(933\) | −519205. | − | 971364.i | −0.596452 | − | 1.11588i | ||||
\(934\) | −596990. | − | 1.20080e6i | −0.684343 | − | 1.37650i | ||||
\(935\) | 41032.8 | + | 27417.2i | 0.0469362 | + | 0.0313618i | ||||
\(936\) | 38713.1 | − | 204964.i | 0.0441883 | − | 0.233952i | ||||
\(937\) | 741675. | − | 495572.i | 0.844762 | − | 0.564452i | −0.0561653 | − | 0.998421i | \(-0.517887\pi\) |
0.900928 | + | 0.433969i | \(0.142887\pi\) | |||||||
\(938\) | 869709. | − | 236045.i | 0.988481 | − | 0.268281i | ||||
\(939\) | 677429. | + | 555952.i | 0.768304 | + | 0.630531i | ||||
\(940\) | 296729. | + | 109502.i | 0.335818 | + | 0.123927i | ||||
\(941\) | −418581. | + | 783111.i | −0.472716 | + | 0.884390i | 0.526694 | + | 0.850055i | \(0.323431\pi\) |
−0.999410 | + | 0.0343351i | \(0.989069\pi\) | |||||||
\(942\) | −31098.9 | + | 1.05385e6i | −0.0350464 | + | 1.18762i | ||||
\(943\) | 488382. | − | 1.17906e6i | 0.549207 | − | 1.32590i | ||||
\(944\) | 764455. | − | 299030.i | 0.857844 | − | 0.335561i | ||||
\(945\) | −1.00389e6 | + | 415826.i | −1.12415 | + | 0.465638i | ||||
\(946\) | 340077. | − | 129249.i | 0.380010 | − | 0.144426i | ||||
\(947\) | 70016.6 | + | 230814.i | 0.0780731 | + | 0.257372i | 0.987285 | − | 0.158962i | \(-0.0508147\pi\) |
−0.909212 | + | 0.416334i | \(0.863315\pi\) | |||||||
\(948\) | 141831. | − | 894923.i | 0.157817 | − | 0.995792i | ||||
\(949\) | 34524.3 | + | 350531.i | 0.0383347 | + | 0.389219i | ||||
\(950\) | 302745. | + | 38864.7i | 0.335452 | + | 0.0430634i | ||||
\(951\) | 32416.9 | − | 162971.i | 0.0358435 | − | 0.180197i | ||||
\(952\) | 21712.2 | − | 41583.2i | 0.0239569 | − | 0.0458821i | ||||
\(953\) | 244986. | + | 1.23163e6i | 0.269746 | + | 1.35611i | 0.843522 | + | 0.537094i | \(0.180478\pi\) |
−0.573776 | + | 0.819012i | \(0.694522\pi\) | |||||||
\(954\) | −5677.07 | − | 4946.37i | −0.00623774 | − | 0.00543488i | ||||
\(955\) | 405003. | + | 122856.i | 0.444070 | + | 0.134707i | ||||
\(956\) | 60120.6 | − | 1.01777e6i | 0.0657821 | − | 1.11361i | ||||
\(957\) | −264905. | + | 217402.i | −0.289245 | + | 0.237377i | ||||
\(958\) | 1.77235e6 | − | 298489.i | 1.93116 | − | 0.325235i | ||||
\(959\) | 204401. | 0.222252 | ||||||||
\(960\) | 890045. | + | 159210.i | 0.965761 | + | 0.172754i | ||||
\(961\) | − | 476062.i | − | 0.515486i | ||||||
\(962\) | −405443. | + | 68282.3i | −0.438107 | + | 0.0737833i | ||||
\(963\) | 252638. | + | 307841.i | 0.272425 | + | 0.331950i | ||||
\(964\) | 1.05818e6 | − | 940139.i | 1.13869 | − | 1.01167i | ||||
\(965\) | 507840. | − | 1.67412e6i | 0.545346 | − | 1.79777i | ||||
\(966\) | −430303. | − | 374919.i | −0.461127 | − | 0.401775i | ||||
\(967\) | 633780. | − | 126067.i | 0.677775 | − | 0.134818i | 0.155813 | − | 0.987787i | \(-0.450200\pi\) |
0.521962 | + | 0.852969i | \(0.325200\pi\) | |||||||
\(968\) | 17886.6 | − | 201572.i | 0.0190887 | − | 0.215120i | ||||
\(969\) | −37425.8 | − | 7444.45i | −0.0398587 | − | 0.00792839i | ||||
\(970\) | −676232. | − | 86810.8i | −0.718708 | − | 0.0922635i | ||||
\(971\) | 1.33025e6 | − | 131018.i | 1.41089 | − | 0.138961i | 0.636311 | − | 0.771433i | \(-0.280460\pi\) |
0.774583 | + | 0.632472i | \(0.217960\pi\) | |||||||
\(972\) | −321906. | − | 443157.i | −0.340719 | − | 0.469056i | ||||
\(973\) | −554433. | + | 168185.i | −0.585630 | + | 0.177649i | ||||
\(974\) | −545795. | + | 207434.i | −0.575323 | + | 0.218656i | ||||
\(975\) | −90745.7 | − | 219080.i | −0.0954590 | − | 0.230458i | ||||
\(976\) | −290126. | + | 1.32109e6i | −0.304570 | + | 1.38686i | ||||
\(977\) | 882533. | + | 365557.i | 0.924575 | + | 0.382971i | 0.793618 | − | 0.608417i | \(-0.208195\pi\) |
0.130957 | + | 0.991388i | \(0.458195\pi\) | |||||||
\(978\) | 29250.7 | − | 991223.i | 0.0305815 | − | 1.03632i | ||||
\(979\) | −1.30406e6 | − | 697036.i | −1.36061 | − | 0.727260i | ||||
\(980\) | −43313.4 | − | 93978.2i | −0.0450994 | − | 0.0978532i | ||||
\(981\) | 76300.3 | − | 92972.2i | 0.0792845 | − | 0.0966085i | ||||
\(982\) | −1.01690e6 | + | 275993.i | −1.05452 | + | 0.286204i | ||||
\(983\) | 107236. | + | 160490.i | 0.110977 | + | 0.166090i | 0.882801 | − | 0.469747i | \(-0.155655\pi\) |
−0.771823 | + | 0.635837i | \(0.780655\pi\) | |||||||
\(984\) | 1.26580e6 | + | 828189.i | 1.30730 | + | 0.855341i | ||||
\(985\) | −569679. | + | 852585.i | −0.587162 | + | 0.878749i | ||||
\(986\) | 11884.6 | + | 23905.0i | 0.0122245 | + | 0.0245887i | ||||
\(987\) | 208694. | − | 111549.i | 0.214228 | − | 0.114507i | ||||
\(988\) | 94516.3 | + | 683823.i | 0.0968262 | + | 0.700535i | ||||
\(989\) | −343149. | − | 33797.2i | −0.350824 | − | 0.0345532i | ||||
\(990\) | −162964. | − | 260193.i | −0.166273 | − | 0.265476i | ||||
\(991\) | 38467.0 | − | 38467.0i | 0.0391689 | − | 0.0391689i | −0.687251 | − | 0.726420i | \(-0.741183\pi\) |
0.726420 | + | 0.687251i | \(0.241183\pi\) | |||||||
\(992\) | 507423. | + | 460127.i | 0.515641 | + | 0.467578i | ||||
\(993\) | −170640. | + | 170640.i | −0.173054 | + | 0.173054i | ||||
\(994\) | 210268. | − | 915122.i | 0.212814 | − | 0.926203i | ||||
\(995\) | 1.94795e6 | + | 191857.i | 1.96758 | + | 0.193790i | ||||
\(996\) | −524355. | − | 894835.i | −0.528575 | − | 0.902037i | ||||
\(997\) | 1.43615e6 | − | 767637.i | 1.44480 | − | 0.772264i | 0.452000 | − | 0.892018i | \(-0.350711\pi\) |
0.992804 | + | 0.119754i | \(0.0382107\pi\) | |||||||
\(998\) | 473736. | + | 159110.i | 0.475636 | + | 0.159749i | ||||
\(999\) | −339186. | + | 507628.i | −0.339866 | + | 0.508645i |
(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 | 128.5.l.a.3.13 | ✓ | 1008 | |
128.43 | odd | 32 | inner | 128.5.l.a.43.13 | yes | 1008 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
128.5.l.a.3.13 | ✓ | 1008 | 1.1 | even | 1 | trivial | |
128.5.l.a.43.13 | yes | 1008 | 128.43 | odd | 32 | inner |