Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [74,4,Mod(7,74)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(74, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("74.7");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 74 = 2 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 74.f (of order \(9\), degree \(6\), 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: | \(4.36614134042\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 49.1 | ||
Character | \(\chi\) | \(=\) | 74.49 |
Dual form | 74.4.f.a.71.1 |
$q$-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 \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).
\(n\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.53209 | + | 1.28558i | −0.541675 | + | 0.454519i | ||||
\(3\) | −6.58177 | − | 5.52276i | −1.26666 | − | 1.06286i | −0.994939 | − | 0.100481i | \(-0.967962\pi\) |
−0.271724 | − | 0.962375i | \(-0.587594\pi\) | |||||||
\(4\) | 0.694593 | − | 3.93923i | 0.0868241 | − | 0.492404i | ||||
\(5\) | −2.85390 | + | 1.03873i | −0.255261 | + | 0.0929073i | −0.466481 | − | 0.884531i | \(-0.654478\pi\) |
0.211220 | + | 0.977438i | \(0.432256\pi\) | |||||||
\(6\) | 17.1838 | 1.16921 | ||||||||
\(7\) | −0.561982 | + | 0.204545i | −0.0303442 | + | 0.0110444i | −0.357148 | − | 0.934048i | \(-0.616251\pi\) |
0.326803 | + | 0.945092i | \(0.394028\pi\) | |||||||
\(8\) | 4.00000 | + | 6.92820i | 0.176777 | + | 0.306186i | ||||
\(9\) | 8.13033 | + | 46.1094i | 0.301123 | + | 1.70775i | ||||
\(10\) | 3.03706 | − | 5.26034i | 0.0960402 | − | 0.166346i | ||||
\(11\) | 18.8860 | + | 32.7116i | 0.517668 | + | 0.896628i | 0.999789 | + | 0.0205233i | \(0.00653324\pi\) |
−0.482121 | + | 0.876105i | \(0.660133\pi\) | |||||||
\(12\) | −26.3271 | + | 22.0911i | −0.633332 | + | 0.531428i | ||||
\(13\) | −5.40683 | + | 30.6637i | −0.115353 | + | 0.654198i | 0.871222 | + | 0.490889i | \(0.163328\pi\) |
−0.986575 | + | 0.163309i | \(0.947783\pi\) | |||||||
\(14\) | 0.598049 | − | 1.03585i | 0.0114168 | − | 0.0197745i | ||||
\(15\) | 24.5204 | + | 8.92470i | 0.422076 | + | 0.153623i | ||||
\(16\) | −15.0351 | − | 5.47232i | −0.234923 | − | 0.0855050i | ||||
\(17\) | 9.73221 | + | 55.1941i | 0.138847 | + | 0.787443i | 0.972103 | + | 0.234555i | \(0.0753632\pi\) |
−0.833255 | + | 0.552888i | \(0.813526\pi\) | |||||||
\(18\) | −71.7334 | − | 60.1915i | −0.939319 | − | 0.788182i | ||||
\(19\) | −27.5057 | − | 23.0800i | −0.332118 | − | 0.278680i | 0.461444 | − | 0.887169i | \(-0.347332\pi\) |
−0.793562 | + | 0.608489i | \(0.791776\pi\) | |||||||
\(20\) | 2.10952 | + | 11.9637i | 0.0235851 | + | 0.133758i | ||||
\(21\) | 4.82849 | + | 1.75743i | 0.0501745 | + | 0.0182620i | ||||
\(22\) | −70.9883 | − | 25.8376i | −0.687943 | − | 0.250391i | ||||
\(23\) | 44.7504 | − | 77.5099i | 0.405700 | − | 0.702693i | −0.588703 | − | 0.808350i | \(-0.700361\pi\) |
0.994403 | + | 0.105657i | \(0.0336944\pi\) | |||||||
\(24\) | 11.9357 | − | 67.6909i | 0.101516 | − | 0.575723i | ||||
\(25\) | −88.6898 | + | 74.4196i | −0.709518 | + | 0.595356i | ||||
\(26\) | −31.1367 | − | 53.9303i | −0.234862 | − | 0.406793i | ||||
\(27\) | 85.1486 | − | 147.482i | 0.606921 | − | 1.05122i | ||||
\(28\) | 0.415401 | + | 2.35585i | 0.00280369 | + | 0.0159005i | ||||
\(29\) | 84.1091 | + | 145.681i | 0.538575 | + | 0.932839i | 0.998981 | + | 0.0451309i | \(0.0143705\pi\) |
−0.460406 | + | 0.887708i | \(0.652296\pi\) | |||||||
\(30\) | −49.0408 | + | 17.8494i | −0.298453 | + | 0.108628i | ||||
\(31\) | 248.887 | 1.44198 | 0.720990 | − | 0.692946i | \(-0.243688\pi\) | ||||
0.720990 | + | 0.692946i | \(0.243688\pi\) | |||||||
\(32\) | 30.0702 | − | 10.9446i | 0.166116 | − | 0.0604612i | ||||
\(33\) | 56.3547 | − | 319.603i | 0.297275 | − | 1.68593i | ||||
\(34\) | −85.8668 | − | 72.0508i | −0.433118 | − | 0.363430i | ||||
\(35\) | 1.39137 | − | 1.16750i | 0.00671957 | − | 0.00563839i | ||||
\(36\) | 187.283 | 0.867050 | ||||||||
\(37\) | −223.583 | − | 25.7593i | −0.993429 | − | 0.114454i | ||||
\(38\) | 71.8124 | 0.306566 | ||||||||
\(39\) | 204.935 | − | 171.961i | 0.841431 | − | 0.706044i | ||||
\(40\) | −18.6122 | − | 15.6175i | −0.0735710 | − | 0.0617334i | ||||
\(41\) | −57.4574 | + | 325.857i | −0.218862 | + | 1.24123i | 0.655216 | + | 0.755442i | \(0.272578\pi\) |
−0.874078 | + | 0.485786i | \(0.838534\pi\) | |||||||
\(42\) | −9.65699 | + | 3.51486i | −0.0354787 | + | 0.0129132i | ||||
\(43\) | −526.034 | −1.86557 | −0.932783 | − | 0.360437i | \(-0.882627\pi\) | ||||
−0.932783 | + | 0.360437i | \(0.882627\pi\) | |||||||
\(44\) | 141.977 | − | 51.6752i | 0.486449 | − | 0.177053i | ||||
\(45\) | −71.0985 | − | 123.146i | −0.235528 | − | 0.407946i | ||||
\(46\) | 31.0833 | + | 176.282i | 0.0996300 | + | 0.565030i | ||||
\(47\) | −45.4760 | + | 78.7667i | −0.141135 | + | 0.244453i | −0.927924 | − | 0.372769i | \(-0.878409\pi\) |
0.786789 | + | 0.617222i | \(0.211742\pi\) | |||||||
\(48\) | 68.7352 | + | 119.053i | 0.206689 | + | 0.357996i | ||||
\(49\) | −262.479 | + | 220.246i | −0.765246 | + | 0.642117i | ||||
\(50\) | 40.2087 | − | 228.035i | 0.113727 | − | 0.644980i | ||||
\(51\) | 240.769 | − | 417.024i | 0.661066 | − | 1.14500i | ||||
\(52\) | 117.036 | + | 42.5975i | 0.312114 | + | 0.113600i | ||||
\(53\) | −233.044 | − | 84.8211i | −0.603982 | − | 0.219832i | 0.0218859 | − | 0.999760i | \(-0.493033\pi\) |
−0.625868 | + | 0.779929i | \(0.715255\pi\) | |||||||
\(54\) | 59.1436 | + | 335.420i | 0.149045 | + | 0.845276i | ||||
\(55\) | −87.8775 | − | 73.7380i | −0.215444 | − | 0.180779i | ||||
\(56\) | −3.66506 | − | 3.07535i | −0.00874578 | − | 0.00733858i | ||||
\(57\) | 53.5708 | + | 303.815i | 0.124485 | + | 0.705988i | ||||
\(58\) | −316.147 | − | 115.068i | −0.715726 | − | 0.260503i | ||||
\(59\) | 159.374 | + | 58.0075i | 0.351674 | + | 0.127999i | 0.511816 | − | 0.859095i | \(-0.328973\pi\) |
−0.160142 | + | 0.987094i | \(0.551195\pi\) | |||||||
\(60\) | 52.1882 | − | 90.3925i | 0.112291 | − | 0.194494i | ||||
\(61\) | −14.1359 | + | 80.1685i | −0.0296707 | + | 0.168271i | −0.996043 | − | 0.0888778i | \(-0.971672\pi\) |
0.966372 | + | 0.257149i | \(0.0827830\pi\) | |||||||
\(62\) | −381.316 | + | 319.962i | −0.781084 | + | 0.655408i | ||||
\(63\) | −14.0005 | − | 24.2496i | −0.0279984 | − | 0.0484947i | ||||
\(64\) | −32.0000 | + | 55.4256i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −16.4208 | − | 93.1273i | −0.0313347 | − | 0.177708i | ||||
\(66\) | 324.534 | + | 562.109i | 0.605263 | + | 1.04835i | ||||
\(67\) | −16.8825 | + | 6.14474i | −0.0307840 | + | 0.0112045i | −0.357366 | − | 0.933964i | \(-0.616325\pi\) |
0.326582 | + | 0.945169i | \(0.394103\pi\) | |||||||
\(68\) | 224.182 | 0.399795 | ||||||||
\(69\) | −722.606 | + | 263.007i | −1.26075 | + | 0.458874i | ||||
\(70\) | −0.630798 | + | 3.57743i | −0.00107707 | + | 0.00610835i | ||||
\(71\) | 877.150 | + | 736.016i | 1.46618 | + | 1.23027i | 0.919599 | + | 0.392859i | \(0.128514\pi\) |
0.546577 | + | 0.837409i | \(0.315930\pi\) | |||||||
\(72\) | −286.934 | + | 240.766i | −0.469659 | + | 0.394091i | ||||
\(73\) | 915.809 | 1.46832 | 0.734160 | − | 0.678976i | \(-0.237576\pi\) | ||||
0.734160 | + | 0.678976i | \(0.237576\pi\) | |||||||
\(74\) | 375.665 | − | 247.967i | 0.590137 | − | 0.389536i | ||||
\(75\) | 994.738 | 1.53150 | ||||||||
\(76\) | −110.023 | + | 92.3202i | −0.166059 | + | 0.139340i | ||||
\(77\) | −17.3046 | − | 14.5203i | −0.0256109 | − | 0.0214901i | ||||
\(78\) | −92.9098 | + | 526.918i | −0.134871 | + | 0.764894i | ||||
\(79\) | −1267.78 | + | 461.434i | −1.80552 | + | 0.657156i | −0.807817 | + | 0.589433i | \(0.799351\pi\) |
−0.997704 | + | 0.0677234i | \(0.978426\pi\) | |||||||
\(80\) | 48.5929 | 0.0679107 | ||||||||
\(81\) | −187.015 | + | 68.0680i | −0.256537 | + | 0.0933717i | ||||
\(82\) | −330.884 | − | 573.108i | −0.445610 | − | 0.771819i | ||||
\(83\) | −47.4622 | − | 269.172i | −0.0627669 | − | 0.355969i | −0.999974 | − | 0.00719578i | \(-0.997709\pi\) |
0.937207 | − | 0.348773i | \(-0.113402\pi\) | |||||||
\(84\) | 10.2768 | − | 17.7999i | 0.0133486 | − | 0.0231205i | ||||
\(85\) | −85.1068 | − | 147.409i | −0.108601 | − | 0.188103i | ||||
\(86\) | 805.930 | − | 676.256i | 1.01053 | − | 0.847936i | ||||
\(87\) | 250.976 | − | 1423.36i | 0.309281 | − | 1.75402i | ||||
\(88\) | −151.088 | + | 261.693i | −0.183023 | + | 0.317006i | ||||
\(89\) | 164.027 | + | 59.7010i | 0.195358 | + | 0.0711044i | 0.437846 | − | 0.899050i | \(-0.355741\pi\) |
−0.242488 | + | 0.970154i | \(0.577964\pi\) | |||||||
\(90\) | 267.243 | + | 97.2685i | 0.312999 | + | 0.113922i | ||||
\(91\) | −3.23355 | − | 18.3384i | −0.00372492 | − | 0.0211251i | ||||
\(92\) | −274.246 | − | 230.120i | −0.310784 | − | 0.260779i | ||||
\(93\) | −1638.12 | − | 1374.54i | −1.82650 | − | 1.53262i | ||||
\(94\) | −31.5873 | − | 179.140i | −0.0346593 | − | 0.196563i | ||||
\(95\) | 102.473 | + | 37.2970i | 0.110668 | + | 0.0402799i | ||||
\(96\) | −258.360 | − | 94.0352i | −0.274674 | − | 0.0999733i | ||||
\(97\) | 679.040 | − | 1176.13i | 0.710784 | − | 1.23111i | −0.253779 | − | 0.967262i | \(-0.581673\pi\) |
0.964563 | − | 0.263852i | \(-0.0849932\pi\) | |||||||
\(98\) | 118.998 | − | 674.874i | 0.122660 | − | 0.695638i | ||||
\(99\) | −1354.76 | + | 1136.78i | −1.37534 | + | 1.15405i | ||||
\(100\) | 231.553 | + | 401.061i | 0.231553 | + | 0.401061i | ||||
\(101\) | 749.327 | − | 1297.87i | 0.738226 | − | 1.27865i | −0.215067 | − | 0.976599i | \(-0.568997\pi\) |
0.953293 | − | 0.302046i | \(-0.0976696\pi\) | |||||||
\(102\) | 167.236 | + | 948.444i | 0.162342 | + | 0.920685i | ||||
\(103\) | 140.856 | + | 243.969i | 0.134747 | + | 0.233389i | 0.925501 | − | 0.378746i | \(-0.123645\pi\) |
−0.790754 | + | 0.612134i | \(0.790311\pi\) | |||||||
\(104\) | −234.071 | + | 85.1950i | −0.220698 | + | 0.0803275i | ||||
\(105\) | −15.6055 | −0.0145042 | ||||||||
\(106\) | 466.088 | − | 169.642i | 0.427080 | − | 0.155444i | ||||
\(107\) | 45.2396 | − | 256.567i | 0.0408736 | − | 0.231806i | −0.957527 | − | 0.288344i | \(-0.906895\pi\) |
0.998400 | + | 0.0565385i | \(0.0180064\pi\) | |||||||
\(108\) | −521.821 | − | 437.860i | −0.464928 | − | 0.390121i | ||||
\(109\) | −1334.80 | + | 1120.03i | −1.17294 | + | 0.984212i | −1.00000 | 0.000720107i | \(-0.999771\pi\) | |
−0.172939 | + | 0.984933i | \(0.555326\pi\) | |||||||
\(110\) | 229.432 | 0.198868 | ||||||||
\(111\) | 1329.31 | + | 1404.34i | 1.13669 | + | 1.20085i | ||||
\(112\) | 9.56879 | 0.00807290 | ||||||||
\(113\) | −682.791 | + | 572.930i | −0.568421 | + | 0.476962i | −0.881121 | − | 0.472890i | \(-0.843211\pi\) |
0.312701 | + | 0.949852i | \(0.398766\pi\) | |||||||
\(114\) | −472.653 | − | 396.603i | −0.388316 | − | 0.325836i | ||||
\(115\) | −47.2009 | + | 267.689i | −0.0382739 | + | 0.217062i | ||||
\(116\) | 632.294 | − | 230.136i | 0.506095 | − | 0.184204i | ||||
\(117\) | −1457.84 | −1.15194 | ||||||||
\(118\) | −318.749 | + | 116.015i | −0.248671 | + | 0.0905089i | ||||
\(119\) | −16.7590 | − | 29.0274i | −0.0129100 | − | 0.0223608i | ||||
\(120\) | 36.2495 | + | 205.581i | 0.0275759 | + | 0.156391i | ||||
\(121\) | −47.8643 | + | 82.9034i | −0.0359612 | + | 0.0622866i | ||||
\(122\) | −81.4052 | − | 140.998i | −0.0604105 | − | 0.104634i | ||||
\(123\) | 2177.80 | − | 1827.39i | 1.59647 | − | 1.33960i | ||||
\(124\) | 172.875 | − | 980.422i | 0.125199 | − | 0.710036i | ||||
\(125\) | 365.626 | − | 633.282i | 0.261620 | − | 0.453140i | ||||
\(126\) | 52.6248 | + | 19.1539i | 0.0372078 | + | 0.0135425i | ||||
\(127\) | −346.741 | − | 126.203i | −0.242270 | − | 0.0881791i | 0.218031 | − | 0.975942i | \(-0.430036\pi\) |
−0.460301 | + | 0.887763i | \(0.652259\pi\) | |||||||
\(128\) | −22.2270 | − | 126.055i | −0.0153485 | − | 0.0870455i | ||||
\(129\) | 3462.23 | + | 2905.16i | 2.36304 | + | 1.98283i | ||||
\(130\) | 144.880 | + | 121.569i | 0.0977450 | + | 0.0820178i | ||||
\(131\) | 15.2359 | + | 86.4072i | 0.0101616 | + | 0.0576293i | 0.989467 | − | 0.144759i | \(-0.0462408\pi\) |
−0.979305 | + | 0.202388i | \(0.935130\pi\) | |||||||
\(132\) | −1219.85 | − | 443.988i | −0.804349 | − | 0.292759i | ||||
\(133\) | 20.1786 | + | 7.34442i | 0.0131557 | + | 0.00478829i | ||||
\(134\) | 17.9660 | − | 31.1180i | 0.0115823 | − | 0.0200611i | ||||
\(135\) | −89.8112 | + | 509.345i | −0.0572572 | + | 0.324722i | ||||
\(136\) | −343.467 | + | 288.203i | −0.216559 | + | 0.181715i | ||||
\(137\) | 1196.39 | + | 2072.20i | 0.746089 | + | 1.29226i | 0.949684 | + | 0.313209i | \(0.101404\pi\) |
−0.203595 | + | 0.979055i | \(0.565262\pi\) | |||||||
\(138\) | 768.981 | − | 1331.91i | 0.474348 | − | 0.821595i | ||||
\(139\) | −532.676 | − | 3020.96i | −0.325043 | − | 1.84341i | −0.509371 | − | 0.860547i | \(-0.670122\pi\) |
0.184328 | − | 0.982865i | \(-0.440989\pi\) | |||||||
\(140\) | −3.63262 | − | 6.29188i | −0.00219294 | − | 0.00379829i | ||||
\(141\) | 734.322 | − | 267.271i | 0.438589 | − | 0.159633i | ||||
\(142\) | −2290.07 | −1.35337 | ||||||||
\(143\) | −1105.17 | + | 402.249i | −0.646286 | + | 0.235229i | ||||
\(144\) | 130.085 | − | 737.750i | 0.0752808 | − | 0.426939i | ||||
\(145\) | −391.363 | − | 328.393i | −0.224145 | − | 0.188080i | ||||
\(146\) | −1403.10 | + | 1177.34i | −0.795353 | + | 0.667380i | ||||
\(147\) | 2943.95 | 1.65179 | ||||||||
\(148\) | −256.771 | + | 862.854i | −0.142611 | + | 0.479231i | ||||
\(149\) | −963.416 | −0.529706 | −0.264853 | − | 0.964289i | \(-0.585323\pi\) | ||||
−0.264853 | + | 0.964289i | \(0.585323\pi\) | |||||||
\(150\) | −1524.03 | + | 1278.81i | −0.829575 | + | 0.696096i | ||||
\(151\) | 453.635 | + | 380.645i | 0.244479 | + | 0.205142i | 0.756790 | − | 0.653658i | \(-0.226766\pi\) |
−0.512312 | + | 0.858800i | \(0.671211\pi\) | |||||||
\(152\) | 49.8803 | − | 282.885i | 0.0266173 | − | 0.150954i | ||||
\(153\) | −2465.84 | + | 897.492i | −1.30295 | + | 0.474235i | ||||
\(154\) | 45.1791 | 0.0236405 | ||||||||
\(155\) | −710.297 | + | 258.527i | −0.368080 | + | 0.133970i | ||||
\(156\) | −535.046 | − | 926.728i | −0.274603 | − | 0.475626i | ||||
\(157\) | 243.449 | + | 1380.67i | 0.123754 | + | 0.701844i | 0.982040 | + | 0.188672i | \(0.0604184\pi\) |
−0.858286 | + | 0.513172i | \(0.828470\pi\) | |||||||
\(158\) | 1349.14 | − | 2336.78i | 0.679316 | − | 1.17661i | ||||
\(159\) | 1065.40 | + | 1845.32i | 0.531392 | + | 0.920399i | ||||
\(160\) | −74.4487 | + | 62.4698i | −0.0367855 | + | 0.0308667i | ||||
\(161\) | −9.29467 | + | 52.7127i | −0.00454983 | + | 0.0258034i | ||||
\(162\) | 199.018 | − | 344.708i | 0.0965203 | − | 0.167178i | ||||
\(163\) | 273.110 | + | 99.4040i | 0.131237 | + | 0.0477664i | 0.406804 | − | 0.913516i | \(-0.366643\pi\) |
−0.275567 | + | 0.961282i | \(0.588865\pi\) | |||||||
\(164\) | 1243.72 | + | 452.676i | 0.592183 | + | 0.215537i | ||||
\(165\) | 171.152 | + | 970.653i | 0.0807527 | + | 0.457971i | ||||
\(166\) | 418.757 | + | 351.379i | 0.195794 | + | 0.164291i | ||||
\(167\) | −1517.76 | − | 1273.55i | −0.703281 | − | 0.590123i | 0.219424 | − | 0.975630i | \(-0.429582\pi\) |
−0.922705 | + | 0.385507i | \(0.874027\pi\) | |||||||
\(168\) | 7.13816 | + | 40.4825i | 0.00327810 | + | 0.0185910i | ||||
\(169\) | 1153.48 | + | 419.832i | 0.525024 | + | 0.191093i | ||||
\(170\) | 319.897 | + | 116.433i | 0.144323 | + | 0.0525294i | ||||
\(171\) | 840.576 | − | 1455.92i | 0.375909 | − | 0.651094i | ||||
\(172\) | −365.379 | + | 2072.17i | −0.161976 | + | 0.918612i | ||||
\(173\) | −2621.52 | + | 2199.71i | −1.15208 | + | 0.966712i | −0.999766 | − | 0.0216201i | \(-0.993118\pi\) |
−0.152316 | + | 0.988332i | \(0.548673\pi\) | |||||||
\(174\) | 1445.31 | + | 2503.36i | 0.629707 | + | 1.09068i | ||||
\(175\) | 34.6200 | − | 59.9635i | 0.0149544 | − | 0.0259018i | ||||
\(176\) | −104.945 | − | 595.172i | −0.0449461 | − | 0.254902i | ||||
\(177\) | −728.604 | − | 1261.98i | −0.309408 | − | 0.535911i | ||||
\(178\) | −328.054 | + | 119.402i | −0.138139 | + | 0.0502784i | ||||
\(179\) | −456.875 | −0.190773 | −0.0953867 | − | 0.995440i | \(-0.530409\pi\) | ||||
−0.0953867 | + | 0.995440i | \(0.530409\pi\) | |||||||
\(180\) | −534.486 | + | 194.537i | −0.221324 | + | 0.0805552i | ||||
\(181\) | −245.501 | + | 1392.30i | −0.100817 | + | 0.571763i | 0.891992 | + | 0.452052i | \(0.149308\pi\) |
−0.992809 | + | 0.119711i | \(0.961803\pi\) | |||||||
\(182\) | 28.5294 | + | 23.9390i | 0.0116195 | + | 0.00974989i | ||||
\(183\) | 535.791 | − | 449.582i | 0.216431 | − | 0.181607i | ||||
\(184\) | 716.006 | 0.286873 | ||||||||
\(185\) | 664.841 | − | 158.729i | 0.264217 | − | 0.0630811i | ||||
\(186\) | 4276.82 | 1.68597 | ||||||||
\(187\) | −1621.68 | + | 1360.75i | −0.634167 | + | 0.532129i | ||||
\(188\) | 278.693 | + | 233.851i | 0.108116 | + | 0.0907199i | ||||
\(189\) | −17.6854 | + | 100.299i | −0.00680647 | + | 0.0386014i | ||||
\(190\) | −204.945 | + | 74.5940i | −0.0782542 | + | 0.0284822i | ||||
\(191\) | −3000.39 | −1.13665 | −0.568327 | − | 0.822803i | \(-0.692409\pi\) | ||||
−0.568327 | + | 0.822803i | \(0.692409\pi\) | |||||||
\(192\) | 516.719 | − | 188.070i | 0.194224 | − | 0.0706918i | ||||
\(193\) | −937.744 | − | 1624.22i | −0.349743 | − | 0.605772i | 0.636461 | − | 0.771309i | \(-0.280398\pi\) |
−0.986204 | + | 0.165537i | \(0.947064\pi\) | |||||||
\(194\) | 471.656 | + | 2674.90i | 0.174551 | + | 0.989930i | ||||
\(195\) | −406.242 | + | 703.631i | −0.149188 | + | 0.258400i | ||||
\(196\) | 685.285 | + | 1186.95i | 0.249739 | + | 0.432561i | ||||
\(197\) | 1046.58 | − | 878.181i | 0.378505 | − | 0.317603i | −0.433610 | − | 0.901100i | \(-0.642761\pi\) |
0.812115 | + | 0.583497i | \(0.198316\pi\) | |||||||
\(198\) | 614.198 | − | 3483.29i | 0.220450 | − | 1.25024i | ||||
\(199\) | 1201.41 | − | 2080.90i | 0.427969 | − | 0.741263i | −0.568724 | − | 0.822529i | \(-0.692563\pi\) |
0.996693 | + | 0.0812650i | \(0.0258960\pi\) | |||||||
\(200\) | −870.353 | − | 316.783i | −0.307716 | − | 0.112000i | ||||
\(201\) | 145.053 | + | 52.7949i | 0.0509017 | + | 0.0185267i | ||||
\(202\) | 520.477 | + | 2951.77i | 0.181290 | + | 1.02815i | ||||
\(203\) | −77.0662 | − | 64.6662i | −0.0266453 | − | 0.0223580i | ||||
\(204\) | −1475.52 | − | 1238.11i | −0.506406 | − | 0.424925i | ||||
\(205\) | −174.501 | − | 989.646i | −0.0594522 | − | 0.337170i | ||||
\(206\) | −529.445 | − | 192.702i | −0.179069 | − | 0.0651757i | ||||
\(207\) | 3937.77 | + | 1433.23i | 1.32219 | + | 0.481239i | ||||
\(208\) | 249.094 | − | 431.443i | 0.0830362 | − | 0.143823i | ||||
\(209\) | 235.510 | − | 1335.65i | 0.0779454 | − | 0.442051i | ||||
\(210\) | 23.9091 | − | 20.0621i | 0.00785659 | − | 0.00659246i | ||||
\(211\) | −1296.06 | − | 2244.85i | −0.422866 | − | 0.732426i | 0.573352 | − | 0.819309i | \(-0.305643\pi\) |
−0.996218 | + | 0.0868833i | \(0.972309\pi\) | |||||||
\(212\) | −496.000 | + | 859.098i | −0.160686 | + | 0.278316i | ||||
\(213\) | −1708.36 | − | 9688.58i | −0.549553 | − | 3.11667i | ||||
\(214\) | 260.524 | + | 451.242i | 0.0832200 | + | 0.144141i | ||||
\(215\) | 1501.25 | − | 546.409i | 0.476206 | − | 0.173325i | ||||
\(216\) | 1362.38 | 0.429158 | ||||||||
\(217\) | −139.870 | + | 50.9085i | −0.0437557 | + | 0.0159258i | ||||
\(218\) | 605.148 | − | 3431.96i | 0.188008 | − | 1.06625i | ||||
\(219\) | −6027.65 | − | 5057.80i | −1.85987 | − | 1.56061i | ||||
\(220\) | −351.510 | + | 294.952i | −0.107722 | + | 0.0903893i | ||||
\(221\) | −1745.07 | −0.531160 | ||||||||
\(222\) | −3842.01 | − | 442.643i | −1.16153 | − | 0.133821i | ||||
\(223\) | 777.989 | 0.233623 | 0.116812 | − | 0.993154i | \(-0.462733\pi\) | ||||
0.116812 | + | 0.993154i | \(0.462733\pi\) | |||||||
\(224\) | −14.6602 | + | 12.3014i | −0.00437289 | + | 0.00366929i | ||||
\(225\) | −4152.52 | − | 3484.37i | −1.23037 | − | 1.03241i | ||||
\(226\) | 309.552 | − | 1755.56i | 0.0911111 | − | 0.516717i | ||||
\(227\) | −4753.43 | + | 1730.11i | −1.38985 | + | 0.505864i | −0.925149 | − | 0.379603i | \(-0.876061\pi\) |
−0.464701 | + | 0.885467i | \(0.653838\pi\) | |||||||
\(228\) | 1234.01 | 0.358440 | ||||||||
\(229\) | 4496.34 | − | 1636.53i | 1.29750 | − | 0.472250i | 0.401315 | − | 0.915940i | \(-0.368553\pi\) |
0.896180 | + | 0.443690i | \(0.146331\pi\) | |||||||
\(230\) | −271.819 | − | 470.804i | −0.0779270 | − | 0.134974i | ||||
\(231\) | 33.7029 | + | 191.138i | 0.00959950 | + | 0.0544415i | ||||
\(232\) | −672.873 | + | 1165.45i | −0.190415 | + | 0.329809i | ||||
\(233\) | 701.968 | + | 1215.84i | 0.197371 | + | 0.341857i | 0.947675 | − | 0.319236i | \(-0.103426\pi\) |
−0.750304 | + | 0.661093i | \(0.770093\pi\) | |||||||
\(234\) | 2233.54 | − | 1874.16i | 0.623980 | − | 0.523581i | ||||
\(235\) | 47.9662 | − | 272.030i | 0.0133148 | − | 0.0755117i | ||||
\(236\) | 339.205 | − | 587.521i | 0.0935610 | − | 0.162052i | ||||
\(237\) | 10892.6 | + | 3964.59i | 2.98545 | + | 1.08661i | ||||
\(238\) | 62.9932 | + | 22.9277i | 0.0171565 | + | 0.00624445i | ||||
\(239\) | 459.267 | + | 2604.63i | 0.124299 | + | 0.704937i | 0.981722 | + | 0.190323i | \(0.0609535\pi\) |
−0.857422 | + | 0.514614i | \(0.827935\pi\) | |||||||
\(240\) | −319.828 | − | 268.367i | −0.0860199 | − | 0.0721793i | ||||
\(241\) | 1854.01 | + | 1555.70i | 0.495550 | + | 0.415815i | 0.856010 | − | 0.516959i | \(-0.172936\pi\) |
−0.360461 | + | 0.932774i | \(0.617380\pi\) | |||||||
\(242\) | −33.2462 | − | 188.549i | −0.00883119 | − | 0.0500842i | ||||
\(243\) | −2713.91 | − | 987.784i | −0.716451 | − | 0.260767i | ||||
\(244\) | 305.984 | + | 111.369i | 0.0802811 | + | 0.0292199i | ||||
\(245\) | 520.312 | − | 901.207i | 0.135680 | − | 0.235004i | ||||
\(246\) | −987.336 | + | 5599.46i | −0.255895 | + | 1.45125i | ||||
\(247\) | 856.437 | − | 718.636i | 0.220623 | − | 0.185124i | ||||
\(248\) | 995.546 | + | 1724.34i | 0.254908 | + | 0.441514i | ||||
\(249\) | −1174.19 | + | 2033.75i | −0.298839 | + | 0.517605i | ||||
\(250\) | 253.961 | + | 1440.28i | 0.0642476 | + | 0.364366i | ||||
\(251\) | 3063.63 | + | 5306.36i | 0.770417 | + | 1.33440i | 0.937335 | + | 0.348431i | \(0.113285\pi\) |
−0.166918 | + | 0.985971i | \(0.553381\pi\) | |||||||
\(252\) | −105.250 | + | 38.3077i | −0.0263099 | + | 0.00957603i | ||||
\(253\) | 3380.63 | 0.840072 | ||||||||
\(254\) | 693.482 | − | 252.407i | 0.171311 | − | 0.0623520i | ||||
\(255\) | −253.953 | + | 1440.24i | −0.0623653 | + | 0.353691i | ||||
\(256\) | 196.107 | + | 164.554i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | 5669.21 | − | 4757.03i | 1.37601 | − | 1.15461i | 0.405352 | − | 0.914161i | \(-0.367149\pi\) |
0.970661 | − | 0.240452i | \(-0.0772956\pi\) | |||||||
\(258\) | −9039.25 | −2.18124 | ||||||||
\(259\) | 130.919 | − | 31.2565i | 0.0314089 | − | 0.00749878i | ||||
\(260\) | −378.256 | −0.0902247 | ||||||||
\(261\) | −6033.44 | + | 5062.66i | −1.43088 | + | 1.20065i | ||||
\(262\) | −134.426 | − | 112.797i | −0.0316979 | − | 0.0265977i | ||||
\(263\) | −652.190 | + | 3698.76i | −0.152912 | + | 0.867206i | 0.807758 | + | 0.589514i | \(0.200681\pi\) |
−0.960670 | + | 0.277692i | \(0.910431\pi\) | |||||||
\(264\) | 2439.69 | − | 887.976i | 0.568761 | − | 0.207012i | ||||
\(265\) | 753.191 | 0.174597 | ||||||||
\(266\) | −40.3573 | + | 14.6888i | −0.00930249 | + | 0.00338583i | ||||
\(267\) | −749.875 | − | 1298.82i | −0.171879 | − | 0.297703i | ||||
\(268\) | 12.4791 | + | 70.7723i | 0.00284433 | + | 0.0161310i | ||||
\(269\) | −519.422 | + | 899.666i | −0.117731 | + | 0.203917i | −0.918868 | − | 0.394564i | \(-0.870896\pi\) |
0.801137 | + | 0.598481i | \(0.204229\pi\) | |||||||
\(270\) | −517.202 | − | 895.821i | −0.116578 | − | 0.201918i | ||||
\(271\) | −1157.57 | + | 971.318i | −0.259474 | + | 0.217725i | −0.763239 | − | 0.646116i | \(-0.776392\pi\) |
0.503765 | + | 0.863841i | \(0.331948\pi\) | |||||||
\(272\) | 155.715 | − | 883.105i | 0.0347119 | − | 0.196861i | ||||
\(273\) | −79.9960 | + | 138.557i | −0.0177347 | + | 0.0307174i | ||||
\(274\) | −4496.94 | − | 1636.75i | −0.991498 | − | 0.360876i | ||||
\(275\) | −4109.38 | − | 1495.69i | −0.901108 | − | 0.327977i | ||||
\(276\) | 534.129 | + | 3029.20i | 0.116488 | + | 0.660638i | ||||
\(277\) | 4528.65 | + | 3799.99i | 0.982312 | + | 0.824258i | 0.984437 | − | 0.175740i | \(-0.0562319\pi\) |
−0.00212466 | + | 0.999998i | \(0.500676\pi\) | |||||||
\(278\) | 4699.77 | + | 3943.58i | 1.01393 | + | 0.850792i | ||||
\(279\) | 2023.53 | + | 11476.0i | 0.434213 | + | 2.46255i | ||||
\(280\) | 13.6542 | + | 4.96971i | 0.00291426 | + | 0.00106070i | ||||
\(281\) | −4567.04 | − | 1662.27i | −0.969561 | − | 0.352891i | −0.191788 | − | 0.981436i | \(-0.561429\pi\) |
−0.777773 | + | 0.628545i | \(0.783651\pi\) | |||||||
\(282\) | −781.449 | + | 1353.51i | −0.165016 | + | 0.285817i | ||||
\(283\) | 938.582 | − | 5322.96i | 0.197148 | − | 1.11808i | −0.712178 | − | 0.701999i | \(-0.752291\pi\) |
0.909326 | − | 0.416084i | \(-0.136598\pi\) | |||||||
\(284\) | 3508.60 | − | 2944.06i | 0.733088 | − | 0.615134i | ||||
\(285\) | −468.469 | − | 811.413i | −0.0973675 | − | 0.168645i | ||||
\(286\) | 1176.10 | − | 2037.06i | 0.243161 | − | 0.421167i | ||||
\(287\) | −34.3623 | − | 194.879i | −0.00706740 | − | 0.0400812i | ||||
\(288\) | 749.131 | + | 1297.53i | 0.153274 | + | 0.265479i | ||||
\(289\) | 1665.04 | − | 606.025i | 0.338905 | − | 0.123351i | ||||
\(290\) | 1021.78 | 0.206899 | ||||||||
\(291\) | −10964.8 | + | 3990.86i | −2.20882 | + | 0.803946i | ||||
\(292\) | 636.114 | − | 3607.58i | 0.127486 | − | 0.723007i | ||||
\(293\) | −4959.77 | − | 4161.74i | −0.988918 | − | 0.829801i | −0.00350735 | − | 0.999994i | \(-0.501116\pi\) |
−0.985411 | + | 0.170193i | \(0.945561\pi\) | |||||||
\(294\) | −4510.39 | + | 3784.67i | −0.894732 | + | 0.750769i | ||||
\(295\) | −515.093 | −0.101661 | ||||||||
\(296\) | −715.867 | − | 1652.07i | −0.140571 | − | 0.324407i | ||||
\(297\) | 6432.48 | 1.25673 | ||||||||
\(298\) | 1476.04 | − | 1238.54i | 0.286928 | − | 0.240762i | ||||
\(299\) | 2134.78 | + | 1791.29i | 0.412902 | + | 0.346465i | ||||
\(300\) | 690.938 | − | 3918.50i | 0.132971 | − | 0.754116i | ||||
\(301\) | 295.622 | − | 107.597i | 0.0566091 | − | 0.0206040i | ||||
\(302\) | −1184.36 | −0.225669 | ||||||||
\(303\) | −12099.7 | + | 4403.95i | −2.29410 | + | 0.834984i | ||||
\(304\) | 287.249 | + | 497.531i | 0.0541937 | + | 0.0938662i | ||||
\(305\) | −42.9314 | − | 243.476i | −0.00805983 | − | 0.0457096i | ||||
\(306\) | 2624.09 | − | 4545.06i | 0.490226 | − | 0.849097i | ||||
\(307\) | 3016.50 | + | 5224.73i | 0.560784 | + | 0.971306i | 0.997428 | + | 0.0716718i | \(0.0228334\pi\) |
−0.436645 | + | 0.899634i | \(0.643833\pi\) | |||||||
\(308\) | −69.2184 | + | 58.0811i | −0.0128055 | + | 0.0107451i | ||||
\(309\) | 420.305 | − | 2383.67i | 0.0773796 | − | 0.438841i | ||||
\(310\) | 755.883 | − | 1309.23i | 0.138488 | − | 0.239868i | ||||
\(311\) | 1308.61 | + | 476.294i | 0.238599 | + | 0.0868429i | 0.458552 | − | 0.888668i | \(-0.348368\pi\) |
−0.219953 | + | 0.975510i | \(0.570590\pi\) | |||||||
\(312\) | 2011.12 | + | 731.987i | 0.364926 | + | 0.132822i | ||||
\(313\) | −933.482 | − | 5294.04i | −0.168574 | − | 0.956028i | −0.945303 | − | 0.326194i | \(-0.894234\pi\) |
0.776729 | − | 0.629834i | \(-0.216877\pi\) | |||||||
\(314\) | −2147.94 | − | 1802.34i | −0.386036 | − | 0.323923i | ||||
\(315\) | 65.1451 | + | 54.6632i | 0.0116524 | + | 0.00977753i | ||||
\(316\) | 937.104 | + | 5314.58i | 0.166823 | + | 0.946103i | ||||
\(317\) | 6475.56 | + | 2356.91i | 1.14733 | + | 0.417594i | 0.844555 | − | 0.535468i | \(-0.179865\pi\) |
0.302775 | + | 0.953062i | \(0.402087\pi\) | |||||||
\(318\) | −4004.58 | − | 1457.55i | −0.706181 | − | 0.257029i | ||||
\(319\) | −3176.98 | + | 5502.68i | −0.557607 | + | 0.965803i | ||||
\(320\) | 33.7523 | − | 191.419i | 0.00589628 | − | 0.0334395i | ||||
\(321\) | −1714.71 | + | 1438.82i | −0.298149 | + | 0.250177i | ||||
\(322\) | −53.5259 | − | 92.7095i | −0.00926360 | − | 0.0160450i | ||||
\(323\) | 1006.19 | − | 1742.77i | 0.173331 | − | 0.300218i | ||||
\(324\) | 138.236 | + | 783.976i | 0.0237030 | + | 0.134427i | ||||
\(325\) | −1802.45 | − | 3121.93i | −0.307636 | − | 0.532841i | ||||
\(326\) | −546.220 | + | 198.808i | −0.0927986 | + | 0.0337759i | ||||
\(327\) | 14971.0 | 2.53179 | ||||||||
\(328\) | −2487.43 | + | 905.352i | −0.418736 | + | 0.152408i | ||||
\(329\) | 9.44537 | − | 53.5674i | 0.00158280 | − | 0.00897649i | ||||
\(330\) | −1510.07 | − | 1267.10i | −0.251899 | − | 0.211368i | ||||
\(331\) | 5747.86 | − | 4823.03i | 0.954475 | − | 0.800899i | −0.0255709 | − | 0.999673i | \(-0.508140\pi\) |
0.980045 | + | 0.198774i | \(0.0636959\pi\) | |||||||
\(332\) | −1093.30 | −0.180730 | ||||||||
\(333\) | −630.058 | − | 10518.7i | −0.103685 | − | 1.73100i | ||||
\(334\) | 3962.59 | 0.649172 | ||||||||
\(335\) | 41.7983 | − | 35.0729i | 0.00681697 | − | 0.00572012i | ||||
\(336\) | −62.9796 | − | 52.8461i | −0.0102256 | − | 0.00858034i | ||||
\(337\) | 788.334 | − | 4470.87i | 0.127428 | − | 0.722681i | −0.852408 | − | 0.522878i | \(-0.824858\pi\) |
0.979836 | − | 0.199804i | \(-0.0640304\pi\) | |||||||
\(338\) | −2306.96 | + | 839.664i | −0.371248 | + | 0.135123i | ||||
\(339\) | 7658.13 | 1.22694 | ||||||||
\(340\) | −639.793 | + | 232.866i | −0.102052 | + | 0.0371439i | ||||
\(341\) | 4700.48 | + | 8141.47i | 0.746467 | + | 1.29292i | ||||
\(342\) | 583.858 | + | 3311.22i | 0.0923141 | + | 0.523539i | ||||
\(343\) | 205.024 | − | 355.112i | 0.0322748 | − | 0.0559016i | ||||
\(344\) | −2104.13 | − | 3644.47i | −0.329789 | − | 0.571211i | ||||
\(345\) | 1789.05 | − | 1501.19i | 0.279186 | − | 0.234265i | ||||
\(346\) | 1188.50 | − | 6740.31i | 0.184665 | − | 1.04729i | ||||
\(347\) | −3250.58 | + | 5630.18i | −0.502883 | + | 0.871020i | 0.497111 | + | 0.867687i | \(0.334394\pi\) |
−0.999994 | + | 0.00333262i | \(0.998939\pi\) | |||||||
\(348\) | −5432.60 | − | 1977.31i | −0.836834 | − | 0.304583i | ||||
\(349\) | 4950.24 | + | 1801.74i | 0.759256 | + | 0.276347i | 0.692495 | − | 0.721422i | \(-0.256511\pi\) |
0.0667608 | + | 0.997769i | \(0.478734\pi\) | |||||||
\(350\) | 24.0468 | + | 136.376i | 0.00367244 | + | 0.0208274i | ||||
\(351\) | 4061.94 | + | 3408.38i | 0.617694 | + | 0.518307i | ||||
\(352\) | 925.922 | + | 776.941i | 0.140204 | + | 0.117645i | ||||
\(353\) | 253.272 | + | 1436.38i | 0.0381879 | + | 0.216574i | 0.997930 | − | 0.0643080i | \(-0.0204840\pi\) |
−0.959742 | + | 0.280882i | \(0.909373\pi\) | |||||||
\(354\) | 2738.66 | + | 996.789i | 0.411181 | + | 0.149657i | ||||
\(355\) | −3267.82 | − | 1189.39i | −0.488558 | − | 0.177820i | ||||
\(356\) | 349.108 | − | 604.673i | 0.0519738 | − | 0.0900213i | ||||
\(357\) | −50.0077 | + | 283.608i | −0.00741370 | + | 0.0420452i | ||||
\(358\) | 699.973 | − | 587.347i | 0.103337 | − | 0.0867102i | ||||
\(359\) | −3846.04 | − | 6661.54i | −0.565421 | − | 0.979339i | −0.997010 | − | 0.0772682i | \(-0.975380\pi\) |
0.431589 | − | 0.902070i | \(-0.357953\pi\) | |||||||
\(360\) | 568.788 | − | 985.170i | 0.0832716 | − | 0.144231i | ||||
\(361\) | −967.176 | − | 5485.13i | −0.141008 | − | 0.799698i | ||||
\(362\) | −1413.78 | − | 2448.74i | −0.205267 | − | 0.355533i | ||||
\(363\) | 772.888 | − | 281.308i | 0.111752 | − | 0.0406745i | ||||
\(364\) | −74.4851 | −0.0107255 | ||||||||
\(365\) | −2613.63 | + | 951.283i | −0.374804 | + | 0.136418i | ||||
\(366\) | −242.908 | + | 1377.60i | −0.0346913 | + | 0.196744i | ||||
\(367\) | −2543.26 | − | 2134.05i | −0.361736 | − | 0.303533i | 0.443746 | − | 0.896153i | \(-0.353649\pi\) |
−0.805482 | + | 0.592620i | \(0.798094\pi\) | |||||||
\(368\) | −1096.99 | + | 920.480i | −0.155392 | + | 0.130389i | ||||
\(369\) | −15492.2 | −2.18562 | ||||||||
\(370\) | −814.538 | + | 1097.89i | −0.114448 | + | 0.154261i | ||||
\(371\) | 148.316 | 0.0207553 | ||||||||
\(372\) | −6552.46 | + | 5498.17i | −0.913251 | + | 0.766308i | ||||
\(373\) | 5981.79 | + | 5019.32i | 0.830362 | + | 0.696757i | 0.955374 | − | 0.295398i | \(-0.0954524\pi\) |
−0.125012 | + | 0.992155i | \(0.539897\pi\) | |||||||
\(374\) | 735.211 | − | 4169.59i | 0.101649 | − | 0.576482i | ||||
\(375\) | −5903.93 | + | 2148.86i | −0.813008 | + | 0.295911i | ||||
\(376\) | −727.615 | −0.0997976 | ||||||||
\(377\) | −4921.89 | + | 1791.42i | −0.672387 | + | 0.244729i | ||||
\(378\) | −101.846 | − | 176.403i | −0.0138582 | − | 0.0240031i | ||||
\(379\) | −1968.62 | − | 11164.6i | −0.266811 | − | 1.51316i | −0.763828 | − | 0.645420i | \(-0.776682\pi\) |
0.497017 | − | 0.867741i | \(-0.334429\pi\) | |||||||
\(380\) | 218.098 | − | 377.757i | 0.0294426 | − | 0.0509961i | ||||
\(381\) | 1585.18 | + | 2745.61i | 0.213153 | + | 0.369191i | ||||
\(382\) | 4596.87 | − | 3857.23i | 0.615697 | − | 0.516631i | ||||
\(383\) | −829.126 | + | 4702.21i | −0.110617 | + | 0.627341i | 0.878210 | + | 0.478275i | \(0.158738\pi\) |
−0.988827 | + | 0.149066i | \(0.952373\pi\) | |||||||
\(384\) | −549.881 | + | 952.422i | −0.0730756 | + | 0.126571i | ||||
\(385\) | 64.4683 | + | 23.4645i | 0.00853405 | + | 0.00310614i | ||||
\(386\) | 3524.77 | + | 1282.91i | 0.464782 | + | 0.169167i | ||||
\(387\) | −4276.82 | − | 24255.1i | −0.561765 | − | 3.18593i | ||||
\(388\) | −4161.40 | − | 3491.83i | −0.544492 | − | 0.456883i | ||||
\(389\) | 5609.32 | + | 4706.78i | 0.731115 | + | 0.613479i | 0.930435 | − | 0.366456i | \(-0.119429\pi\) |
−0.199320 | + | 0.979934i | \(0.563873\pi\) | |||||||
\(390\) | −282.172 | − | 1600.28i | −0.0366368 | − | 0.207778i | ||||
\(391\) | 4713.61 | + | 1715.61i | 0.609661 | + | 0.221899i | ||||
\(392\) | −2575.83 | − | 937.525i | −0.331885 | − | 0.120796i | ||||
\(393\) | 376.927 | − | 652.857i | 0.0483803 | − | 0.0837972i | ||||
\(394\) | −474.479 | + | 2690.90i | −0.0606698 | + | 0.344076i | ||||
\(395\) | 3138.81 | − | 2633.77i | 0.399824 | − | 0.335492i | ||||
\(396\) | 3537.03 | + | 6126.31i | 0.448844 | + | 0.777421i | ||||
\(397\) | −2356.29 | + | 4081.21i | −0.297881 | + | 0.515945i | −0.975651 | − | 0.219329i | \(-0.929613\pi\) |
0.677770 | + | 0.735274i | \(0.262947\pi\) | |||||||
\(398\) | 834.491 | + | 4732.64i | 0.105099 | + | 0.596044i | ||||
\(399\) | −92.2497 | − | 159.781i | −0.0115746 | − | 0.0200478i | ||||
\(400\) | 1740.71 | − | 633.565i | 0.217588 | − | 0.0791956i | ||||
\(401\) | −3784.31 | −0.471271 | −0.235635 | − | 0.971842i | \(-0.575717\pi\) | ||||
−0.235635 | + | 0.971842i | \(0.575717\pi\) | |||||||
\(402\) | −290.106 | + | 105.590i | −0.0359929 | + | 0.0131004i | ||||
\(403\) | −1345.69 | + | 7631.77i | −0.166336 | + | 0.943339i | ||||
\(404\) | −4592.14 | − | 3853.27i | −0.565514 | − | 0.474523i | ||||
\(405\) | 463.018 | − | 388.519i | 0.0568088 | − | 0.0476682i | ||||
\(406\) | 201.206 | 0.0245952 | ||||||||
\(407\) | −3379.97 | − | 7800.25i | −0.411644 | − | 0.949985i | ||||
\(408\) | 3852.30 | 0.467444 | ||||||||
\(409\) | 6208.47 | − | 5209.52i | 0.750584 | − | 0.629815i | −0.185073 | − | 0.982725i | \(-0.559252\pi\) |
0.935657 | + | 0.352910i | \(0.114808\pi\) | |||||||
\(410\) | 1539.62 | + | 1291.89i | 0.185454 | + | 0.155615i | ||||
\(411\) | 3569.94 | − | 20246.1i | 0.428448 | − | 2.42985i | ||||
\(412\) | 1058.89 | − | 385.404i | 0.126621 | − | 0.0460862i | ||||
\(413\) | −101.431 | −0.0120849 | ||||||||
\(414\) | −7875.54 | + | 2866.46i | −0.934932 | + | 0.340287i | ||||
\(415\) | 415.050 | + | 718.888i | 0.0490940 | + | 0.0850333i | ||||
\(416\) | 173.019 | + | 981.237i | 0.0203917 | + | 0.115647i | ||||
\(417\) | −13178.1 | + | 22825.1i | −1.54756 | + | 2.68046i | ||||
\(418\) | 1356.25 | + | 2349.09i | 0.158699 | + | 0.274876i | ||||
\(419\) | 11969.7 | − | 10043.8i | 1.39560 | − | 1.17105i | 0.432594 | − | 0.901589i | \(-0.357598\pi\) |
0.963011 | − | 0.269463i | \(-0.0868461\pi\) | |||||||
\(420\) | −10.8395 | + | 61.4738i | −0.00125932 | + | 0.00714194i | ||||
\(421\) | −6724.54 | + | 11647.2i | −0.778465 | + | 1.34834i | 0.154361 | + | 0.988015i | \(0.450668\pi\) |
−0.932826 | + | 0.360327i | \(0.882665\pi\) | |||||||
\(422\) | 4871.61 | + | 1773.12i | 0.561958 | + | 0.204536i | ||||
\(423\) | −4001.62 | − | 1456.47i | −0.459965 | − | 0.167414i | ||||
\(424\) | −344.518 | − | 1953.86i | −0.0394606 | − | 0.223792i | ||||
\(425\) | −4970.67 | − | 4170.88i | −0.567324 | − | 0.476041i | ||||
\(426\) | 15072.8 | + | 12647.5i | 1.71427 | + | 1.43844i | ||||
\(427\) | −8.45395 | − | 47.9447i | −0.000958115 | − | 0.00543374i | ||||
\(428\) | −979.252 | − | 356.418i | −0.110593 | − | 0.0402527i | ||||
\(429\) | 9495.50 | + | 3456.08i | 1.06864 | + | 0.388954i | ||||
\(430\) | −1597.59 | + | 2767.11i | −0.179169 | + | 0.310330i | ||||
\(431\) | −1054.51 | + | 5980.42i | −0.117851 | + | 0.668368i | 0.867448 | + | 0.497529i | \(0.165759\pi\) |
−0.985299 | + | 0.170839i | \(0.945352\pi\) | |||||||
\(432\) | −2087.28 | + | 1751.44i | −0.232464 | + | 0.195061i | ||||
\(433\) | 7495.66 | + | 12982.9i | 0.831914 | + | 1.44092i | 0.896519 | + | 0.443006i | \(0.146088\pi\) |
−0.0646054 | + | 0.997911i | \(0.520579\pi\) | |||||||
\(434\) | 148.846 | − | 257.810i | 0.0164628 | − | 0.0285144i | ||||
\(435\) | 762.229 | + | 4322.81i | 0.0840140 | + | 0.476467i | ||||
\(436\) | 3484.91 | + | 6036.03i | 0.382791 | + | 0.663013i | ||||
\(437\) | −3019.83 | + | 1099.13i | −0.330567 | + | 0.120317i | ||||
\(438\) | 15737.1 | 1.71677 | ||||||||
\(439\) | −12412.8 | + | 4517.89i | −1.34950 | + | 0.491178i | −0.912792 | − | 0.408426i | \(-0.866078\pi\) |
−0.436708 | + | 0.899603i | \(0.643856\pi\) | |||||||
\(440\) | 159.362 | − | 903.785i | 0.0172665 | − | 0.0979233i | ||||
\(441\) | −12289.5 | − | 10312.1i | −1.32701 | − | 1.11350i | ||||
\(442\) | 2673.61 | − | 2243.42i | 0.287716 | − | 0.241422i | ||||
\(443\) | 8440.74 | 0.905264 | 0.452632 | − | 0.891697i | \(-0.350485\pi\) | ||||
0.452632 | + | 0.891697i | \(0.350485\pi\) | |||||||
\(444\) | 6455.35 | − | 4261.02i | 0.689994 | − | 0.455448i | ||||
\(445\) | −530.130 | −0.0564732 | ||||||||
\(446\) | −1191.95 | + | 1000.16i | −0.126548 | + | 0.106186i | ||||
\(447\) | 6340.99 | + | 5320.72i | 0.670959 | + | 0.563001i | ||||
\(448\) | 6.64641 | − | 37.6937i | 0.000700923 | − | 0.00397513i | ||||
\(449\) | −6254.98 | + | 2276.63i | −0.657441 | + | 0.239289i | −0.649131 | − | 0.760677i | \(-0.724867\pi\) |
−0.00830967 | + | 0.999965i | \(0.502645\pi\) | |||||||
\(450\) | 10841.4 | 1.13571 | ||||||||
\(451\) | −11744.4 | + | 4274.62i | −1.22622 | + | 0.446306i | ||||
\(452\) | 1782.64 | + | 3087.62i | 0.185505 | + | 0.321304i | ||||
\(453\) | −883.510 | − | 5010.63i | −0.0916356 | − | 0.519691i | ||||
\(454\) | 5058.49 | − | 8761.57i | 0.522923 | − | 0.905728i | ||||
\(455\) | 28.2769 | + | 48.9771i | 0.00291350 | + | 0.00504633i | ||||
\(456\) | −1890.61 | + | 1586.41i | −0.194158 | + | 0.162918i | ||||
\(457\) | −587.473 | + | 3331.72i | −0.0601331 | + | 0.341032i | −1.00000 | 0.000509613i | \(-0.999838\pi\) | |
0.939867 | + | 0.341541i | \(0.110949\pi\) | |||||||
\(458\) | −4784.90 | + | 8287.70i | −0.488174 | + | 0.845543i | ||||
\(459\) | 8968.80 | + | 3264.38i | 0.912043 | + | 0.331957i | ||||
\(460\) | 1021.71 | + | 371.870i | 0.103559 | + | 0.0376925i | ||||
\(461\) | −1213.21 | − | 6880.46i | −0.122570 | − | 0.695130i | −0.982721 | − | 0.185091i | \(-0.940742\pi\) |
0.860151 | − | 0.510039i | \(-0.170369\pi\) | |||||||
\(462\) | −297.359 | − | 249.513i | −0.0299445 | − | 0.0251264i | ||||
\(463\) | 9890.70 | + | 8299.28i | 0.992786 | + | 0.833046i | 0.985969 | − | 0.166930i | \(-0.0533855\pi\) |
0.00681724 | + | 0.999977i | \(0.497830\pi\) | |||||||
\(464\) | −467.373 | − | 2650.60i | −0.0467613 | − | 0.265196i | ||||
\(465\) | 6102.80 | + | 2221.24i | 0.608625 | + | 0.221521i | ||||
\(466\) | −2638.54 | − | 960.349i | −0.262292 | − | 0.0954663i | ||||
\(467\) | −6855.50 | + | 11874.1i | −0.679303 | + | 1.17659i | 0.295888 | + | 0.955223i | \(0.404384\pi\) |
−0.975191 | + | 0.221365i | \(0.928949\pi\) | |||||||
\(468\) | −1012.61 | + | 5742.77i | −0.100016 | + | 0.567222i | ||||
\(469\) | 8.23081 | − | 6.90647i | 0.000810370 | − | 0.000679981i | ||||
\(470\) | 276.226 | + | 478.438i | 0.0271093 | + | 0.0469547i | ||||
\(471\) | 6022.79 | − | 10431.8i | 0.589205 | − | 1.02053i | ||||
\(472\) | 235.610 | + | 1336.21i | 0.0229763 | + | 0.130305i | ||||
\(473\) | −9934.69 | − | 17207.4i | −0.965745 | − | 1.67272i | ||||
\(474\) | −21785.2 | + | 7929.18i | −2.11103 | + | 0.768353i | ||||
\(475\) | 4157.08 | 0.401558 | ||||||||
\(476\) | −125.986 | + | 45.8553i | −0.0121315 | + | 0.00441549i | ||||
\(477\) | 2016.32 | − | 11435.1i | 0.193545 | − | 1.09765i | ||||
\(478\) | −4052.09 | − | 3400.11i | −0.387737 | − | 0.325350i | ||||
\(479\) | −3465.10 | + | 2907.56i | −0.330531 | + | 0.277348i | −0.792916 | − | 0.609331i | \(-0.791438\pi\) |
0.462385 | + | 0.886679i | \(0.346994\pi\) | |||||||
\(480\) | 835.010 | 0.0794017 | ||||||||
\(481\) | 1998.75 | − | 6716.60i | 0.189470 | − | 0.636696i | ||||
\(482\) | −4840.48 | −0.457423 | ||||||||
\(483\) | 352.295 | − | 295.611i | 0.0331884 | − | 0.0278484i | ||||
\(484\) | 293.330 | + | 246.133i | 0.0275479 | + | 0.0231154i | ||||
\(485\) | −716.224 | + | 4061.91i | −0.0670558 | + | 0.380292i | ||||
\(486\) | 5427.83 | − | 1975.57i | 0.506607 | − | 0.184390i | ||||
\(487\) | −4079.02 | −0.379544 | −0.189772 | − | 0.981828i | \(-0.560775\pi\) | ||||
−0.189772 | + | 0.981828i | \(0.560775\pi\) | |||||||
\(488\) | −611.967 | + | 222.738i | −0.0567673 | + | 0.0206616i | ||||
\(489\) | −1248.57 | − | 2162.58i | −0.115464 | − | 0.199990i | ||||
\(490\) | 361.405 | + | 2049.63i | 0.0333196 | + | 0.188965i | ||||
\(491\) | 2814.51 | − | 4874.87i | 0.258690 | − | 0.448065i | −0.707201 | − | 0.707013i | \(-0.750042\pi\) |
0.965891 | + | 0.258948i | \(0.0833757\pi\) | |||||||
\(492\) | −5685.84 | − | 9848.16i | −0.521011 | − | 0.902418i | ||||
\(493\) | −7222.18 | + | 6060.13i | −0.659778 | + | 0.553620i | ||||
\(494\) | −388.277 | + | 2202.03i | −0.0353632 | + | 0.200555i | ||||
\(495\) | 2685.54 | − | 4651.49i | 0.243850 | − | 0.422361i | ||||
\(496\) | −3742.03 | − | 1361.99i | −0.338754 | − | 0.123296i | ||||
\(497\) | −643.491 | − | 234.211i | −0.0580775 | − | 0.0211385i | ||||
\(498\) | −815.581 | − | 4625.39i | −0.0733876 | − | 0.416202i | ||||
\(499\) | −8475.60 | − | 7111.88i | −0.760361 | − | 0.638019i | 0.177860 | − | 0.984056i | \(-0.443083\pi\) |
−0.938221 | + | 0.346037i | \(0.887527\pi\) | |||||||
\(500\) | −2240.68 | − | 1880.16i | −0.200413 | − | 0.168166i | ||||
\(501\) | 2956.03 | + | 16764.5i | 0.263604 | + | 1.49497i | ||||
\(502\) | −11515.5 | − | 4191.29i | −1.02383 | − | 0.372643i | ||||
\(503\) | 18598.0 | + | 6769.12i | 1.64860 | + | 0.600040i | 0.988511 | − | 0.151149i | \(-0.0482975\pi\) |
0.660086 | + | 0.751190i | \(0.270520\pi\) | |||||||
\(504\) | 112.004 | − | 193.997i | 0.00989894 | − | 0.0171455i | ||||
\(505\) | −790.359 | + | 4482.35i | −0.0696446 | + | 0.394974i | ||||
\(506\) | −5179.42 | + | 4346.05i | −0.455046 | + | 0.381829i | ||||
\(507\) | −5273.30 | − | 9133.63i | −0.461924 | − | 0.800076i | ||||
\(508\) | −737.988 | + | 1278.23i | −0.0644546 | + | 0.111639i | ||||
\(509\) | −3160.94 | − | 17926.6i | −0.275258 | − | 1.56107i | −0.738141 | − | 0.674647i | \(-0.764296\pi\) |
0.462883 | − | 0.886420i | \(-0.346815\pi\) | |||||||
\(510\) | −1462.46 | − | 2533.05i | −0.126978 | − | 0.219932i | ||||
\(511\) | −514.669 | + | 187.324i | −0.0445550 | + | 0.0162167i | ||||
\(512\) | −512.000 | −0.0441942 | ||||||||
\(513\) | −5745.96 | + | 2091.36i | −0.494523 | + | 0.179992i | ||||
\(514\) | −2570.21 | + | 14576.4i | −0.220559 | + | 1.25085i | ||||
\(515\) | −655.408 | − | 549.953i | −0.0560791 | − | 0.0470559i | ||||
\(516\) | 13848.9 | − | 11620.6i | 1.18152 | − | 0.991415i | ||||
\(517\) | −3435.44 | −0.292245 | ||||||||
\(518\) | −160.397 | + | 216.194i | −0.0136051 | + | 0.0183378i | ||||
\(519\) | 29402.7 | 2.48678 | ||||||||
\(520\) | 579.521 | − | 486.276i | 0.0488725 | − | 0.0410089i | ||||
\(521\) | 15683.1 | + | 13159.7i | 1.31879 | + | 1.10659i | 0.986561 | + | 0.163393i | \(0.0522439\pi\) |
0.332225 | + | 0.943200i | \(0.392201\pi\) | |||||||
\(522\) | 2735.34 | − | 15512.9i | 0.229354 | − | 1.30073i | ||||
\(523\) | −7297.05 | + | 2655.91i | −0.610091 | + | 0.222055i | −0.628543 | − | 0.777775i | \(-0.716348\pi\) |
0.0184521 | + | 0.999830i | \(0.494126\pi\) | |||||||
\(524\) | 350.961 | 0.0292591 | ||||||||
\(525\) | −559.025 | + | 203.468i | −0.0464721 | + | 0.0169145i | ||||
\(526\) | −3755.82 | − | 6505.26i | −0.311333 | − | 0.539245i | ||||
\(527\) | 2422.22 | + | 13737.1i | 0.200215 | + | 1.13548i | ||||
\(528\) | −2596.27 | + | 4496.87i | −0.213993 | + | 0.370646i | ||||
\(529\) | 2078.31 | + | 3599.73i | 0.170815 | + | 0.295860i | ||||
\(530\) | −1153.96 | + | 968.283i | −0.0945747 | + | 0.0793576i | ||||
\(531\) | −1378.92 | + | 7820.27i | −0.112693 | + | 0.639117i | ||||
\(532\) | 42.9473 | − | 74.3869i | 0.00350000 | − | 0.00606219i | ||||
\(533\) | −9681.31 | − | 3523.71i | −0.786762 | − | 0.286358i | ||||
\(534\) | 2818.61 | + | 1025.89i | 0.228414 | + | 0.0831359i | ||||
\(535\) | 137.395 | + | 779.207i | 0.0111030 | + | 0.0629683i | ||||
\(536\) | −110.102 | − | 92.3866i | −0.00887255 | − | 0.00744495i | ||||
\(537\) | 3007.05 | + | 2523.21i | 0.241646 | + | 0.202765i | ||||
\(538\) | −360.787 | − | 2046.12i | −0.0289120 | − | 0.163968i | ||||
\(539\) | −12161.8 | − | 4426.53i | −0.971884 | − | 0.353737i | ||||
\(540\) | 1944.04 | + | 707.574i | 0.154923 | + | 0.0563873i | ||||
\(541\) | −586.285 | + | 1015.48i | −0.0465922 | + | 0.0807000i | −0.888381 | − | 0.459107i | \(-0.848169\pi\) |
0.841789 | + | 0.539807i | \(0.181503\pi\) | |||||||
\(542\) | 524.801 | − | 2976.29i | 0.0415906 | − | 0.235872i | ||||
\(543\) | 9305.19 | − | 7807.98i | 0.735403 | − | 0.617077i | ||||
\(544\) | 896.729 | + | 1553.18i | 0.0706745 | + | 0.122412i | ||||
\(545\) | 2645.96 | − | 4582.95i | 0.207965 | − | 0.360205i | ||||
\(546\) | −55.5646 | − | 315.123i | −0.00435521 | − | 0.0246997i | ||||
\(547\) | 4172.12 | + | 7226.32i | 0.326118 | + | 0.564854i | 0.981738 | − | 0.190238i | \(-0.0609258\pi\) |
−0.655620 | + | 0.755091i | \(0.727592\pi\) | |||||||
\(548\) | 8993.89 | − | 3273.51i | 0.701095 | − | 0.255178i | ||||
\(549\) | −3811.45 | −0.296300 | ||||||||
\(550\) | 8218.76 | − | 2991.38i | 0.637180 | − | 0.231915i | ||||
\(551\) | 1048.85 | − | 5948.31i | 0.0810934 | − | 0.459903i | ||||
\(552\) | −4712.59 | − | 3954.33i | −0.363372 | − | 0.304905i | ||||
\(553\) | 618.085 | − | 518.635i | 0.0475292 | − | 0.0398817i | ||||
\(554\) | −11823.5 | −0.906735 | ||||||||
\(555\) | −5252.46 | − | 2627.04i | −0.401720 | − | 0.200922i | ||||
\(556\) | −12270.2 | −0.935925 | ||||||||
\(557\) | −982.383 | + | 824.317i | −0.0747305 | + | 0.0627064i | −0.679388 | − | 0.733779i | \(-0.737755\pi\) |
0.604657 | + | 0.796486i | \(0.293310\pi\) | |||||||
\(558\) | −17853.5 | − | 14980.9i | −1.35448 | − | 1.13654i | ||||
\(559\) | 2844.17 | − | 16130.1i | 0.215198 | − | 1.22045i | ||||
\(560\) | −27.3084 | + | 9.93943i | −0.00206069 | + | 0.000750031i | ||||
\(561\) | 18188.7 | 1.36885 | ||||||||
\(562\) | 9134.08 | − | 3324.53i | 0.685583 | − | 0.249532i | ||||
\(563\) | −3205.17 | − | 5551.51i | −0.239932 | − | 0.415574i | 0.720763 | − | 0.693182i | \(-0.243792\pi\) |
−0.960695 | + | 0.277608i | \(0.910458\pi\) | |||||||
\(564\) | −542.789 | − | 3078.31i | −0.0405240 | − | 0.229823i | ||||
\(565\) | 1353.50 | − | 2344.32i | 0.100782 | − | 0.174560i | ||||
\(566\) | 5405.08 | + | 9361.87i | 0.401400 | + | 0.695245i | ||||
\(567\) | 91.1763 | − | 76.5060i | 0.00675317 | − | 0.00566658i | ||||
\(568\) | −1590.67 | + | 9021.13i | −0.117505 | + | 0.666406i | ||||
\(569\) | 8454.07 | − | 14642.9i | 0.622870 | − | 1.07884i | −0.366079 | − | 0.930584i | \(-0.619300\pi\) |
0.988949 | − | 0.148258i | \(-0.0473667\pi\) | |||||||
\(570\) | 1760.87 | + | 640.904i | 0.129394 | + | 0.0470956i | ||||
\(571\) | −6558.61 | − | 2387.14i | −0.480682 | − | 0.174954i | 0.0903031 | − | 0.995914i | \(-0.471216\pi\) |
−0.570985 | + | 0.820960i | \(0.693439\pi\) | |||||||
\(572\) | 816.908 | + | 4632.92i | 0.0597144 | + | 0.338657i | ||||
\(573\) | 19747.9 | + | 16570.5i | 1.43976 | + | 1.20810i | ||||
\(574\) | 303.177 | + | 254.396i | 0.0220459 | + | 0.0184987i | ||||
\(575\) | 1799.35 | + | 10204.6i | 0.130501 | + | 0.740110i | ||||
\(576\) | −2815.81 | − | 1024.87i | −0.203690 | − | 0.0741371i | ||||
\(577\) | −24612.5 | − | 8958.23i | −1.77579 | − | 0.646336i | −0.999880 | − | 0.0154968i | \(-0.995067\pi\) |
−0.775914 | − | 0.630839i | \(-0.782711\pi\) | |||||||
\(578\) | −1771.90 | + | 3069.02i | −0.127511 | + | 0.220855i | ||||
\(579\) | −2798.17 | + | 15869.2i | −0.200843 | + | 1.13903i | ||||
\(580\) | −1565.45 | + | 1313.57i | −0.112072 | + | 0.0940398i | ||||
\(581\) | 81.7306 | + | 141.562i | 0.00583607 | + | 0.0101084i | ||||
\(582\) | 11668.5 | − | 20210.4i | 0.831056 | − | 1.43943i | ||||
\(583\) | −1626.65 | − | 9225.17i | −0.115555 | − | 0.655347i | ||||
\(584\) | 3663.24 | + | 6344.91i | 0.259565 | + | 0.449579i | ||||
\(585\) | 4160.53 | − | 1514.31i | 0.294046 | − | 0.107024i | ||||
\(586\) | 12949.0 | 0.912833 | ||||||||
\(587\) | 18391.3 | − | 6693.90i | 1.29317 | − | 0.470676i | 0.398405 | − | 0.917209i | \(-0.369564\pi\) |
0.894767 | + | 0.446533i | \(0.147342\pi\) | |||||||
\(588\) | 2044.84 | − | 11596.9i | 0.143415 | − | 0.813346i | ||||
\(589\) | −6845.81 | − | 5744.31i | −0.478908 | − | 0.401851i | ||||
\(590\) | 789.168 | − | 662.191i | 0.0550670 | − | 0.0462067i | ||||
\(591\) | −11738.3 | −0.817004 | ||||||||
\(592\) | 3220.63 | + | 1610.81i | 0.223593 | + | 0.111831i | ||||
\(593\) | −4163.56 | −0.288325 | −0.144163 | − | 0.989554i | \(-0.546049\pi\) | ||||
−0.144163 | + | 0.989554i | \(0.546049\pi\) | |||||||
\(594\) | −9855.13 | + | 8269.43i | −0.680742 | + | 0.571210i | ||||
\(595\) | 77.9803 | + | 65.4332i | 0.00537291 | + | 0.00450840i | ||||
\(596\) | −669.182 | + | 3795.12i | −0.0459912 | + | 0.260829i | ||||
\(597\) | −19399.8 | + | 7060.94i | −1.32995 | + | 0.484062i | ||||
\(598\) | −5573.52 | −0.381134 | ||||||||
\(599\) | 19700.9 | − | 7170.54i | 1.34383 | − | 0.489116i | 0.432816 | − | 0.901482i | \(-0.357520\pi\) |
0.911018 | + | 0.412367i | \(0.135298\pi\) | |||||||
\(600\) | 3978.95 | + | 6891.75i | 0.270733 | + | 0.468924i | ||||
\(601\) | 4262.65 | + | 24174.7i | 0.289313 | + | 1.64077i | 0.689460 | + | 0.724323i | \(0.257848\pi\) |
−0.400148 | + | 0.916451i | \(0.631041\pi\) | |||||||
\(602\) | −314.594 | + | 544.893i | −0.0212988 | + | 0.0368906i | ||||
\(603\) | −420.590 | − | 728.484i | −0.0284042 | − | 0.0491976i | ||||
\(604\) | 1814.54 | − | 1522.58i | 0.122239 | − | 0.102571i | ||||
\(605\) | 50.4853 | − | 286.316i | 0.00339260 | − | 0.0192404i | ||||
\(606\) | 12876.3 | − | 22302.4i | 0.863141 | − | 1.49500i | ||||
\(607\) | −8970.80 | − | 3265.10i | −0.599857 | − | 0.218330i | 0.0242021 | − | 0.999707i | \(-0.492295\pi\) |
−0.624059 | + | 0.781377i | \(0.714518\pi\) | |||||||
\(608\) | −1079.70 | − | 392.980i | −0.0720194 | − | 0.0262129i | ||||
\(609\) | 150.096 | + | 851.237i | 0.00998719 | + | 0.0566402i | ||||
\(610\) | 378.782 | + | 317.836i | 0.0251417 | + | 0.0210964i | ||||
\(611\) | −2169.39 | − | 1820.34i | −0.143640 | − | 0.120529i | ||||
\(612\) | 1822.67 | + | 10336.9i | 0.120388 | + | 0.682752i | ||||
\(613\) | −11416.0 | − | 4155.09i | −0.752184 | − | 0.273773i | −0.0626598 | − | 0.998035i | \(-0.519958\pi\) |
−0.689525 | + | 0.724262i | \(0.742181\pi\) | |||||||
\(614\) | −11338.3 | − | 4126.81i | −0.745240 | − | 0.271245i | ||||
\(615\) | −4317.06 | + | 7477.36i | −0.283058 | + | 0.490270i | ||||
\(616\) | 31.3811 | − | 177.971i | 0.00205256 | − | 0.0116407i | ||||
\(617\) | 19262.7 | − | 16163.4i | 1.25687 | − | 1.05464i | 0.260862 | − | 0.965376i | \(-0.415993\pi\) |
0.996008 | − | 0.0892632i | \(-0.0284512\pi\) | |||||||
\(618\) | 2420.44 | + | 4192.32i | 0.157547 | + | 0.272880i | ||||
\(619\) | −4501.46 | + | 7796.76i | −0.292293 | + | 0.506266i | −0.974351 | − | 0.225032i | \(-0.927751\pi\) |
0.682059 | + | 0.731297i | \(0.261085\pi\) | |||||||
\(620\) | 525.031 | + | 2977.60i | 0.0340093 | + | 0.192876i | ||||
\(621\) | −7620.87 | − | 13199.7i | −0.492455 | − | 0.852958i | ||||
\(622\) | −2617.21 | + | 952.587i | −0.168715 | + | 0.0614072i | ||||
\(623\) | −104.392 | −0.00671328 | ||||||||
\(624\) | −4022.23 | + | 1463.97i | −0.258042 | + | 0.0939196i | ||||
\(625\) | 2127.40 | − | 12065.1i | 0.136153 | − | 0.772164i | ||||
\(626\) | 8236.06 | + | 6910.88i | 0.525845 | + | 0.441237i | ||||
\(627\) | −8926.53 | + | 7490.25i | −0.568567 | + | 0.477084i | ||||
\(628\) | 5607.88 | 0.356336 | ||||||||
\(629\) | −754.196 | − | 12591.2i | −0.0478088 | − | 0.798160i | ||||
\(630\) | −170.082 | −0.0107559 | ||||||||
\(631\) | 6739.86 | − | 5655.41i | 0.425213 | − | 0.356796i | −0.404929 | − | 0.914348i | \(-0.632704\pi\) |
0.830142 | + | 0.557552i | \(0.188259\pi\) | |||||||
\(632\) | −8268.02 | − | 6937.69i | −0.520386 | − | 0.436656i | ||||
\(633\) | −3867.37 | + | 21932.9i | −0.242834 | + | 1.37718i | ||||
\(634\) | −12951.1 | + | 4713.82i | −0.811285 | + | 0.295284i | ||||
\(635\) | 1120.66 | 0.0700345 | ||||||||
\(636\) | 8009.16 | − | 2915.10i | 0.499346 | − | 0.181747i | ||||
\(637\) | −5334.37 | − | 9239.41i | −0.331798 | − | 0.574692i | ||||
\(638\) | −2206.70 | − | 12514.8i | −0.136935 | − | 0.776595i | ||||
\(639\) | −26805.7 | + | 46428.9i | −1.65950 | + | 2.87433i | ||||
\(640\) | 194.372 | + | 336.662i | 0.0120050 | + | 0.0207933i | ||||
\(641\) | −6542.86 | + | 5490.11i | −0.403163 | + | 0.338294i | −0.821715 | − | 0.569899i | \(-0.806982\pi\) |
0.418552 | + | 0.908193i | \(0.362538\pi\) | |||||||
\(642\) | 777.388 | − | 4408.79i | 0.0477898 | − | 0.271029i | ||||
\(643\) | −3070.17 | + | 5317.69i | −0.188298 | + | 0.326142i | −0.944683 | − | 0.327985i | \(-0.893630\pi\) |
0.756385 | + | 0.654127i | \(0.226964\pi\) | |||||||
\(644\) | 201.191 | + | 73.2277i | 0.0123106 | + | 0.00448071i | ||||
\(645\) | −12898.6 | − | 4694.69i | −0.787411 | − | 0.286594i | ||||
\(646\) | 698.893 | + | 3963.62i | 0.0425659 | + | 0.241403i | ||||
\(647\) | 12842.1 | + | 10775.8i | 0.780334 | + | 0.654778i | 0.943333 | − | 0.331849i | \(-0.107672\pi\) |
−0.162999 | + | 0.986626i | \(0.552117\pi\) | |||||||
\(648\) | −1219.65 | − | 1023.41i | −0.0739389 | − | 0.0620421i | ||||
\(649\) | 1112.43 | + | 6308.92i | 0.0672832 | + | 0.381582i | ||||
\(650\) | 6774.98 | + | 2465.89i | 0.408825 | + | 0.148800i | ||||
\(651\) | 1201.75 | + | 437.400i | 0.0723505 | + | 0.0263334i | ||||
\(652\) | 581.276 | − | 1006.80i | 0.0349149 | − | 0.0604744i | ||||
\(653\) | 1916.48 | − | 10868.9i | 0.114851 | − | 0.651352i | −0.871973 | − | 0.489554i | \(-0.837160\pi\) |
0.986824 | − | 0.161798i | \(-0.0517292\pi\) | |||||||
\(654\) | −22936.9 | + | 19246.3i | −1.37141 | + | 1.15075i | ||||
\(655\) | −133.236 | − | 230.771i | −0.00794803 | − | 0.0137664i | ||||
\(656\) | 2647.07 | − | 4584.86i | 0.157547 | − | 0.272879i | ||||
\(657\) | 7445.83 | + | 42227.4i | 0.442145 | + | 2.50753i | ||||
\(658\) | 54.3937 | + | 94.2127i | 0.00322263 | + | 0.00558175i | ||||
\(659\) | 25479.3 | − | 9273.72i | 1.50612 | − | 0.548183i | 0.548484 | − | 0.836161i | \(-0.315205\pi\) |
0.957637 | + | 0.287978i | \(0.0929829\pi\) | |||||||
\(660\) | 3942.51 | 0.232518 | ||||||||
\(661\) | 8122.16 | − | 2956.23i | 0.477936 | − | 0.173954i | −0.0918081 | − | 0.995777i | \(-0.529265\pi\) |
0.569744 | + | 0.821822i | \(0.307042\pi\) | |||||||
\(662\) | −2605.87 | + | 14778.6i | −0.152991 | + | 0.867655i | ||||
\(663\) | 11485.7 | + | 9637.63i | 0.672800 | + | 0.564547i | ||||
\(664\) | 1675.03 | − | 1405.51i | 0.0978970 | − | 0.0821454i | ||||
\(665\) | −65.2167 | −0.00380300 | ||||||||
\(666\) | 14487.9 | + | 15305.6i | 0.842935 | + | 0.890511i | ||||
\(667\) | 15055.7 | 0.874000 | ||||||||
\(668\) | −6071.04 | + | 5094.21i | −0.351640 | + | 0.295061i | ||||
\(669\) | −5120.55 | − | 4296.65i | −0.295922 | − | 0.248308i | ||||
\(670\) | −18.9498 | + | 107.470i | −0.00109268 | + | 0.00619689i | ||||
\(671\) | −2889.41 | + | 1051.66i | −0.166236 | + | 0.0605050i | ||||
\(672\) | 164.428 | 0.00943891 | ||||||||
\(673\) | 4193.03 | − | 1526.14i | 0.240162 | − | 0.0874120i | −0.219135 | − | 0.975695i | \(-0.570323\pi\) |
0.459297 | + | 0.888283i | \(0.348101\pi\) | |||||||
\(674\) | 4539.84 | + | 7863.23i | 0.259448 | + | 0.449377i | ||||
\(675\) | 3423.71 | + | 19416.8i | 0.195228 | + | 1.10719i | ||||
\(676\) | 2455.01 | − | 4252.21i | 0.139680 | − | 0.241933i | ||||
\(677\) | 6083.85 | + | 10537.5i | 0.345378 | + | 0.598213i | 0.985422 | − | 0.170125i | \(-0.0544173\pi\) |
−0.640044 | + | 0.768338i | \(0.721084\pi\) | |||||||
\(678\) | −11732.9 | + | 9845.10i | −0.664603 | + | 0.557668i | ||||
\(679\) | −141.037 | + | 799.860i | −0.00797128 | + | 0.0452074i | ||||
\(680\) | 680.854 | − | 1179.27i | 0.0383964 | − | 0.0665045i | ||||
\(681\) | 40841.0 | + | 14864.9i | 2.29813 | + | 0.836452i | ||||
\(682\) | −17668.0 | − | 6430.64i | −0.992000 | − | 0.361058i | ||||
\(683\) | 2875.68 | + | 16308.8i | 0.161105 | + | 0.913673i | 0.952990 | + | 0.303002i | \(0.0979890\pi\) |
−0.791885 | + | 0.610671i | \(0.790900\pi\) | |||||||
\(684\) | −5151.35 | − | 4322.49i | −0.287963 | − | 0.241630i | ||||
\(685\) | −5566.84 | − | 4671.13i | −0.310508 | − | 0.260547i | ||||
\(686\) | 142.408 | + | 807.636i | 0.00792590 | + | 0.0449500i | ||||
\(687\) | −38632.1 | − | 14060.9i | −2.14542 | − | 0.780870i | ||||
\(688\) | 7908.96 | + | 2878.63i | 0.438265 | + | 0.159515i | ||||
\(689\) | 3860.95 | − | 6687.37i | 0.213484 | − | 0.369765i | ||||
\(690\) | −811.090 | + | 4599.92i | −0.0447502 | + | 0.253791i | ||||
\(691\) | −1330.25 | + | 1116.22i | −0.0732348 | + | 0.0614513i | −0.678670 | − | 0.734443i | \(-0.737443\pi\) |
0.605435 | + | 0.795894i | \(0.292999\pi\) | |||||||
\(692\) | 6844.29 | + | 11854.7i | 0.375984 | + | 0.651224i | ||||
\(693\) | 528.829 | − | 915.959i | 0.0289878 | − | 0.0502084i | ||||
\(694\) | −2257.83 | − | 12804.8i | −0.123496 | − | 0.700380i | ||||
\(695\) | 4658.18 | + | 8068.20i | 0.254237 | + | 0.440351i | ||||
\(696\) | 10865.2 | − | 3954.61i | 0.591731 | − | 0.215372i | ||||
\(697\) | −18544.6 | −1.00778 | ||||||||
\(698\) | −9900.48 | + | 3603.48i | −0.536875 | + | 0.195407i | ||||
\(699\) | 2094.63 | − | 11879.2i | 0.113342 | − | 0.642795i | ||||
\(700\) | −212.163 | − | 178.026i | −0.0114557 | − | 0.00961251i | ||||
\(701\) | −3607.68 | + | 3027.21i | −0.194380 | + | 0.163104i | −0.734783 | − | 0.678302i | \(-0.762716\pi\) |
0.540403 | + | 0.841406i | \(0.318272\pi\) | |||||||
\(702\) | −10605.0 | −0.570170 | ||||||||
\(703\) | 5555.29 | + | 5868.84i | 0.298040 | + | 0.314861i | ||||
\(704\) | −2417.41 | −0.129417 | ||||||||
\(705\) | −1818.06 | + | 1525.53i | −0.0971235 | + | 0.0814963i | ||||
\(706\) | −2234.61 | − | 1875.06i | −0.119123 | − | 0.0999558i | ||||
\(707\) | −155.635 | + | 882.652i | −0.00827903 | + | 0.0469527i | ||||
\(708\) | −5477.31 | + | 1993.58i | −0.290749 | + | 0.105824i | ||||
\(709\) | −14170.0 | −0.750584 | −0.375292 | − | 0.926907i | \(-0.622458\pi\) | ||||
−0.375292 | + | 0.926907i | \(0.622458\pi\) | |||||||
\(710\) | 6535.64 | − | 2378.78i | 0.345462 | − | 0.125738i | ||||
\(711\) | −31583.9 | − | 54704.8i | −1.66595 | − | 2.88550i | ||||
\(712\) | 242.488 | + | 1375.22i | 0.0127635 | + | 0.0723854i | ||||
\(713\) | 11137.8 | − | 19291.2i | 0.585011 | − | 1.01327i | ||||
\(714\) | −287.983 | − | 498.801i | −0.0150945 | − | 0.0261445i | ||||
\(715\) | 2736.21 | − | 2295.96i | 0.143117 | − | 0.120089i | ||||
\(716\) | −317.342 | + | 1799.74i | −0.0165637 | + | 0.0939376i | ||||
\(717\) | 11362.0 | − | 19679.5i | 0.591801 | − | 1.02503i | ||||
\(718\) | 14456.4 | + | 5261.69i | 0.751403 | + | 0.273488i | ||||
\(719\) | 13920.2 | + | 5066.54i | 0.722025 | + | 0.262796i | 0.676785 | − | 0.736180i | \(-0.263373\pi\) |
0.0452399 | + | 0.998976i | \(0.485595\pi\) | |||||||
\(720\) | 395.076 | + | 2240.59i | 0.0204495 | + | 0.115975i | ||||
\(721\) | −129.061 | − | 108.295i | −0.00666642 | − | 0.00559379i | ||||
\(722\) | 8533.35 | + | 7160.33i | 0.439859 | + | 0.369086i | ||||
\(723\) | −3610.92 | − | 20478.5i | −0.185742 | − | 1.05340i | ||||
\(724\) | 5314.08 | + | 1934.17i | 0.272785 | + | 0.0992856i | ||||
\(725\) | −18301.2 | − | 6661.08i | −0.937501 | − | 0.341222i | ||||
\(726\) | −822.491 | + | 1424.60i | −0.0420461 | + | 0.0728260i | ||||
\(727\) | 4524.88 | − | 25661.9i | 0.230837 | − | 1.30914i | −0.620370 | − | 0.784310i | \(-0.713017\pi\) |
0.851206 | − | 0.524831i | \(-0.175872\pi\) | |||||||
\(728\) | 114.118 | − | 95.7562i | 0.00580973 | − | 0.00487495i | ||||
\(729\) | 15093.8 | + | 26143.2i | 0.766845 | + | 1.32821i | ||||
\(730\) | 2781.36 | − | 4817.47i | 0.141018 | − | 0.244250i | ||||
\(731\) | −5119.47 | − | 29033.9i | −0.259029 | − | 1.46903i | ||||
\(732\) | −1398.85 | − | 2422.88i | −0.0706325 | − | 0.122339i | ||||
\(733\) | −10821.9 | + | 3938.84i | −0.545313 | + | 0.198478i | −0.599963 | − | 0.800028i | \(-0.704818\pi\) |
0.0546497 | + | 0.998506i | \(0.482596\pi\) | |||||||
\(734\) | 6639.99 | 0.333905 | ||||||||
\(735\) | −8401.73 | + | 3057.98i | −0.421636 | + | 0.153463i | ||||
\(736\) | 497.333 | − | 2820.51i | 0.0249075 | − | 0.141258i | ||||
\(737\) | −519.848 | − | 436.204i | −0.0259821 | − | 0.0218016i | ||||
\(738\) | 23735.4 | − | 19916.4i | 1.18389 | − | 0.993405i | ||||
\(739\) | 32281.8 | 1.60691 | 0.803453 | − | 0.595368i | \(-0.202994\pi\) | ||||
0.803453 | + | 0.595368i | \(0.202994\pi\) | |||||||
\(740\) | −163.477 | − | 2729.22i | −0.00812098 | − | 0.135578i | ||||
\(741\) | −9605.74 | −0.476215 | ||||||||
\(742\) | −227.234 | + | 190.672i | −0.0112426 | + | 0.00943367i | ||||
\(743\) | −4390.69 | − | 3684.23i | −0.216795 | − | 0.181913i | 0.527922 | − | 0.849293i | \(-0.322971\pi\) |
−0.744717 | + | 0.667380i | \(0.767416\pi\) | |||||||
\(744\) | 2970.64 | − | 16847.4i | 0.146383 | − | 0.830181i | ||||
\(745\) | 2749.49 | − | 1000.73i | 0.135213 | − | 0.0492135i | ||||
\(746\) | −15617.3 | −0.766476 | ||||||||
\(747\) | 12025.4 | − | 4376.90i | 0.589007 | − | 0.214381i | ||||
\(748\) | 4233.91 | + | 7333.35i | 0.206961 | + | 0.358468i | ||||
\(749\) | 27.0555 | + | 153.439i | 0.00131988 | + | 0.00748538i | ||||
\(750\) | 6282.84 | − | 10882.2i | 0.305889 | − | 0.529815i | ||||
\(751\) | −17499.9 | − | 30310.7i | −0.850308 | − | 1.47278i | −0.880931 | − | 0.473245i | \(-0.843082\pi\) |
0.0306230 | − | 0.999531i | \(-0.490251\pi\) | |||||||
\(752\) | 1114.77 | − | 935.404i | 0.0540579 | − | 0.0453600i | ||||
\(753\) | 9141.67 | − | 51845.0i | 0.442418 | − | 2.50908i | ||||
\(754\) | 5237.76 | − | 9072.07i | 0.252981 | − | 0.438177i | ||||
\(755\) | −1690.02 | − | 615.116i | −0.0814649 | − | 0.0296508i | ||||
\(756\) | 382.816 | + | 139.334i | 0.0184165 | + | 0.00670306i | ||||
\(757\) | 2657.04 | + | 15068.8i | 0.127572 | + | 0.723496i | 0.979747 | + | 0.200239i | \(0.0641720\pi\) |
−0.852175 | + | 0.523257i | \(0.824717\pi\) | |||||||
\(758\) | 17369.1 | + | 14574.4i | 0.832286 | + | 0.698371i | ||||
\(759\) | −22250.5 | − | 18670.4i | −1.06409 | − | 0.892876i | ||||
\(760\) | 151.489 | + | 859.139i | 0.00723039 | + | 0.0410056i | ||||
\(761\) | −29004.5 | − | 10556.8i | −1.38162 | − | 0.502868i | −0.458951 | − | 0.888462i | \(-0.651775\pi\) |
−0.922669 | + | 0.385593i | \(0.873997\pi\) | |||||||
\(762\) | −5958.33 | − | 2168.65i | −0.283264 | − | 0.103100i | ||||
\(763\) | 521.036 | − | 902.461i | 0.0247219 | − | 0.0428195i | ||||
\(764\) | −2084.05 | + | 11819.2i | −0.0986889 | + | 0.559693i | ||||
\(765\) | 6105.00 | − | 5122.70i | 0.288532 | − | 0.242107i | ||||
\(766\) | −4774.75 | − | 8270.11i | −0.225220 | − | 0.390093i | ||||
\(767\) | −2640.43 | + | 4573.36i | −0.124303 | + | 0.215299i | ||||
\(768\) | −381.944 | − | 2166.11i | −0.0179456 | − | 0.101774i | ||||
\(769\) | −2472.14 | − | 4281.86i | −0.115927 | − | 0.200791i | 0.802223 | − | 0.597024i | \(-0.203650\pi\) |
−0.918150 | + | 0.396234i | \(0.870317\pi\) | |||||||
\(770\) | −128.937 | + | 46.9291i | −0.00603448 | + | 0.00219637i | ||||
\(771\) | −63585.4 | −2.97013 | ||||||||
\(772\) | −7049.53 | + | 2565.82i | −0.328650 | + | 0.119619i | ||||
\(773\) | −5134.55 | + | 29119.5i | −0.238909 | + | 1.35492i | 0.595313 | + | 0.803494i | \(0.297028\pi\) |
−0.834222 | + | 0.551428i | \(0.814083\pi\) | |||||||
\(774\) | 37734.2 | + | 31662.8i | 1.75236 | + | 1.47041i | ||||
\(775\) | −22073.7 | + | 18522.0i | −1.02311 | + | 0.858492i | ||||
\(776\) | 10864.6 | 0.502600 | ||||||||
\(777\) | −1034.30 | − | 517.310i | −0.0477546 | − | 0.0238847i | ||||
\(778\) | −14644.9 | −0.674865 | ||||||||
\(779\) | 9101.20 | − | 7636.82i | 0.418594 | − | 0.351242i | ||||
\(780\) | 2489.59 | + | 2089.02i | 0.114284 | + | 0.0958959i | ||||
\(781\) | −7510.36 | + | 42593.4i | −0.344099 | + | 1.95149i | ||||
\(782\) | −9427.22 | + | 3431.23i | −0.431096 | + | 0.156906i | ||||
\(783\) | 28647.1 | 1.30749 | ||||||||
\(784\) | 5151.66 | − | 1875.05i | 0.234678 | − | 0.0854159i | ||||
\(785\) | −2128.93 | − | 3687.42i | −0.0967959 | − | 0.167655i | ||||
\(786\) | 261.811 | + | 1484.80i | 0.0118810 | + | 0.0673806i | ||||
\(787\) | 1600.55 | − | 2772.23i | 0.0724948 | − | 0.125565i | −0.827499 | − | 0.561467i | \(-0.810237\pi\) |
0.899994 | + | 0.435902i | \(0.143571\pi\) | |||||||
\(788\) | −2732.41 | − | 4732.68i | −0.123526 | − | 0.213953i | ||||
\(789\) | 24719.9 | − | 20742.5i | 1.11540 | − | 0.935934i | ||||
\(790\) | −1423.02 | + | 8070.34i | −0.0640870 | + | 0.363456i | ||||
\(791\) | 266.527 | − | 461.638i | 0.0119805 | − | 0.0207509i | ||||
\(792\) | −13294.9 | − | 4838.94i | −0.596481 | − | 0.217101i | ||||
\(793\) | −2381.83 | − | 866.915i | −0.106660 | − | 0.0388210i | ||||
\(794\) | −1636.66 | − | 9281.97i | −0.0731523 | − | 0.414867i | ||||
\(795\) | −4957.33 | − | 4159.70i | −0.221155 | − | 0.185571i | ||||
\(796\) | −7362.67 | − | 6178.02i | −0.327843 | − | 0.275093i | ||||
\(797\) | 729.542 | + | 4137.44i | 0.0324237 | + | 0.183884i | 0.996718 | − | 0.0809477i | \(-0.0257947\pi\) |
−0.964295 | + | 0.264832i | \(0.914684\pi\) | |||||||
\(798\) | 346.746 | + | 126.205i | 0.0153818 | + | 0.00559851i | ||||
\(799\) | −4790.04 | − | 1743.43i | −0.212089 | − | 0.0771942i | ||||
\(800\) | −1852.42 | + | 3208.49i | −0.0818662 | + | 0.141796i | ||||
\(801\) | −1419.18 | + | 8048.57i | −0.0626021 | + | 0.355034i | ||||
\(802\) | 5797.90 | − | 4865.02i | 0.255276 | − | 0.214202i | ||||
\(803\) | 17296.0 | + | 29957.6i | 0.760103 | + | 1.31654i | ||||
\(804\) | 308.724 | − | 534.726i | 0.0135421 | − | 0.0234556i | ||||
\(805\) | −28.2284 | − | 160.091i | −0.00123593 | − | 0.00700929i | ||||
\(806\) | −7749.51 | − | 13422.5i | −0.338666 | − | 0.586586i | ||||
\(807\) | 8387.36 | − | 3052.75i | 0.365860 | − | 0.133162i | ||||
\(808\) | 11989.2 | 0.522005 | ||||||||
\(809\) | 37777.4 | − | 13749.8i | 1.64176 | − | 0.597551i | 0.654413 | − | 0.756138i | \(-0.272916\pi\) |
0.987345 | + | 0.158587i | \(0.0506937\pi\) | |||||||
\(810\) | −209.915 | + | 1190.49i | −0.00910578 | + | 0.0516414i | ||||
\(811\) | −1274.16 | − | 1069.15i | −0.0551688 | − | 0.0462921i | 0.614786 | − | 0.788694i | \(-0.289242\pi\) |
−0.669955 | + | 0.742402i | \(0.733687\pi\) | |||||||
\(812\) | −308.265 | + | 258.665i | −0.0133226 | + | 0.0111790i | ||||
\(813\) | 12983.2 | 0.560076 | ||||||||
\(814\) | 15206.2 | + | 7605.47i | 0.654764 | + | 0.327483i | ||||
\(815\) | −882.684 | −0.0379375 | ||||||||
\(816\) | −5902.07 | + | 4952.42i | −0.253203 | + | 0.212463i | ||||
\(817\) | 14468.9 | + | 12140.9i | 0.619589 | + | 0.519897i | ||||
\(818\) | −2814.69 | + | 15962.9i | −0.120310 | + | 0.682310i | ||||
\(819\) | 819.281 | − | 298.194i | 0.0349548 | − | 0.0127225i | ||||
\(820\) | −4019.65 | −0.171186 | ||||||||
\(821\) | −12747.3 | + | 4639.62i | −0.541879 | + | 0.197228i | −0.598435 | − | 0.801172i | \(-0.704210\pi\) |
0.0565557 | + | 0.998399i | \(0.481988\pi\) | |||||||
\(822\) | 20558.5 | + | 35608.3i | 0.872334 | + | 1.51093i | ||||
\(823\) | 4388.59 | + | 24888.9i | 0.185877 | + | 1.05416i | 0.924824 | + | 0.380396i | \(0.124212\pi\) |
−0.738947 | + | 0.673764i | \(0.764677\pi\) | |||||||
\(824\) | −1126.85 | + | 1951.76i | −0.0476403 | + | 0.0825153i | ||||
\(825\) | 18786.6 | + | 32539.4i | 0.792809 | + | 1.37318i | ||||
\(826\) | 155.401 | − | 130.397i | 0.00654611 | − | 0.00549284i | ||||
\(827\) | −2439.74 | + | 13836.4i | −0.102585 | + | 0.581789i | 0.889572 | + | 0.456795i | \(0.151003\pi\) |
−0.992157 | + | 0.124995i | \(0.960109\pi\) | |||||||
\(828\) | 8380.97 | − | 14516.3i | 0.351762 | − | 0.609270i | ||||
\(829\) | 7937.23 | + | 2888.92i | 0.332535 | + | 0.121033i | 0.502891 | − | 0.864350i | \(-0.332270\pi\) |
−0.170356 | + | 0.985383i | \(0.554492\pi\) | |||||||
\(830\) | −1560.08 | − | 567.822i | −0.0652423 | − | 0.0237463i | ||||
\(831\) | −8820.12 | − | 50021.4i | −0.368191 | − | 2.08811i | ||||
\(832\) | −1526.53 | − | 1280.91i | −0.0636094 | − | 0.0533746i | ||||
\(833\) | −14710.8 | − | 12343.8i | −0.611883 | − | 0.513431i | ||||
\(834\) | −9153.40 | − | 51911.5i | −0.380043 | − | 2.15533i | ||||
\(835\) | 5654.42 | + | 2058.04i | 0.234347 | + | 0.0852952i | ||||
\(836\) | −5097.83 | − | 1855.46i | −0.210900 | − | 0.0767613i | ||||
\(837\) | 21192.3 | − | 36706.2i | 0.875167 | − | 1.51583i | ||||
\(838\) | −5426.62 | + | 30775.9i | −0.223699 | + | 1.26866i | ||||
\(839\) | −31534.6 | + | 26460.6i | −1.29761 | + | 1.08882i | −0.307056 | + | 0.951691i | \(0.599344\pi\) |
−0.990553 | + | 0.137132i | \(0.956212\pi\) | |||||||
\(840\) | −62.4222 | − | 108.118i | −0.00256401 | − | 0.00444100i | ||||
\(841\) | −1954.20 | + | 3384.77i | −0.0801262 | + | 0.138783i | ||||
\(842\) | −4670.81 | − | 26489.5i | −0.191172 | − | 1.08419i | ||||
\(843\) | 20878.9 | + | 36163.3i | 0.853034 | + | 1.47750i | ||||
\(844\) | −9743.22 | + | 3546.24i | −0.397364 | + | 0.144629i | ||||
\(845\) | −3728.01 | −0.151772 | ||||||||
\(846\) | 8003.23 | − | 2912.94i | 0.325244 | − | 0.118379i | ||||
\(847\) | 9.94143 | − | 56.3807i | 0.000403296 | − | 0.00228721i | ||||
\(848\) | 3039.67 | + | 2550.58i | 0.123093 | + | 0.103287i | ||||
\(849\) | −35575.0 | + | 29851.0i | −1.43808 | + | 1.20669i | ||||
\(850\) | 12977.5 | 0.523676 | ||||||||
\(851\) | −12002.0 | + | 16177.2i | −0.483460 | + | 0.651641i | ||||
\(852\) | −39352.2 | −1.58237 | ||||||||
\(853\) | 22100.9 | − | 18544.8i | 0.887127 | − | 0.744388i | −0.0805051 | − | 0.996754i | \(-0.525653\pi\) |
0.967632 | + | 0.252367i | \(0.0812089\pi\) | |||||||
\(854\) | 74.5887 | + | 62.5874i | 0.00298873 | + | 0.00250784i | ||||
\(855\) | −886.605 | + | 5028.19i | −0.0354634 | + | 0.201123i | ||||
\(856\) | 1958.50 | − | 712.837i | 0.0782012 | − | 0.0284629i | ||||
\(857\) | −15428.4 | −0.614965 | −0.307482 | − | 0.951554i | \(-0.599486\pi\) | ||||
−0.307482 | + | 0.951554i | \(0.599486\pi\) | |||||||
\(858\) | −18991.0 | + | 6912.16i | −0.755644 | + | 0.275032i | ||||
\(859\) | 2930.81 | + | 5076.31i | 0.116412 | + | 0.201632i | 0.918343 | − | 0.395785i | \(-0.129527\pi\) |
−0.801931 | + | 0.597416i | \(0.796194\pi\) | |||||||
\(860\) | −1109.68 | − | 6293.29i | −0.0439996 | − | 0.249534i | ||||
\(861\) | −850.103 | + | 1472.42i | −0.0336486 | + | 0.0582811i | ||||
\(862\) | −6072.68 | − | 10518.2i | −0.239949 | − | 0.415604i | ||||
\(863\) | 17016.1 | − | 14278.2i | 0.671186 | − | 0.563192i | −0.242230 | − | 0.970219i | \(-0.577879\pi\) |
0.913416 | + | 0.407027i | \(0.133434\pi\) | |||||||
\(864\) | 946.298 | − | 5366.72i | 0.0372612 | − | 0.211319i | ||||
\(865\) | 5196.63 | − | 9000.82i | 0.204267 | − | 0.353800i | ||||
\(866\) | −28174.5 | − | 10254.7i | −1.10555 | − | 0.402388i | ||||
\(867\) | −14305.8 | − | 5206.90i | −0.560383 | − | 0.203963i | ||||
\(868\) | 103.388 | + | 586.340i | 0.00404286 | + | 0.0229282i | ||||
\(869\) | −39037.5 | − | 32756.4i | −1.52389 | − | 1.27869i | ||||
\(870\) | −6725.11 | − | 5643.03i | −0.262072 | − | 0.219904i | ||||
\(871\) | −97.1391 | − | 550.903i | −0.00377891 | − | 0.0214313i | ||||
\(872\) | −13099.0 | − | 4767.63i | −0.508701 | − | 0.185152i | ||||
\(873\) | 59751.5 | + | 21747.8i | 2.31648 | + | 0.843128i | ||||
\(874\) | 3213.63 | − | 5566.17i | 0.124374 | − | 0.215422i | ||||
\(875\) | −75.9405 | + | 430.680i | −0.00293401 | + | 0.0166396i | ||||
\(876\) | −24110.6 | + | 20231.2i | −0.929933 | + | 0.780307i | ||||
\(877\) | 10450.9 | + | 18101.5i | 0.402396 | + | 0.696970i | 0.994015 | − | 0.109248i | \(-0.0348442\pi\) |
−0.591619 | + | 0.806218i | \(0.701511\pi\) | |||||||
\(878\) | 13209.4 | − | 22879.4i | 0.507741 | − | 0.879433i | ||||
\(879\) | 9659.78 | + | 54783.3i | 0.370667 | + | 2.10216i | ||||
\(880\) | 917.727 | + | 1589.55i | 0.0351552 | + | 0.0608906i | ||||
\(881\) | −35734.3 | + | 13006.2i | −1.36654 | + | 0.497379i | −0.918070 | − | 0.396419i | \(-0.870253\pi\) |
−0.448469 | + | 0.893798i | \(0.648031\pi\) | |||||||
\(882\) | 32085.5 | 1.22491 | ||||||||
\(883\) | −22907.3 | + | 8337.57i | −0.873037 | + | 0.317759i | −0.739396 | − | 0.673270i | \(-0.764889\pi\) |
−0.133641 | + | 0.991030i | \(0.542667\pi\) | |||||||
\(884\) | −1212.11 | + | 6874.24i | −0.0461175 | + | 0.261545i | ||||
\(885\) | 3390.23 | + | 2844.74i | 0.128770 | + | 0.108051i | ||||
\(886\) | −12932.0 | + | 10851.2i | −0.490359 | + | 0.411460i | ||||
\(887\) | 40933.5 | 1.54951 | 0.774753 | − | 0.632265i | \(-0.217874\pi\) | ||||
0.774753 | + | 0.632265i | \(0.217874\pi\) | |||||||
\(888\) | −4412.30 | + | 14827.1i | −0.166742 | + | 0.560321i | ||||
\(889\) | 220.677 | 0.00832537 | ||||||||
\(890\) | 812.207 | − | 681.523i | 0.0305902 | − | 0.0256682i | ||||
\(891\) | −5758.59 | − | 4832.03i | −0.216521 | − | 0.181682i | ||||
\(892\) | 540.385 | − | 3064.68i | 0.0202841 | − | 0.115037i | ||||
\(893\) | 3068.79 | − | 1116.95i | 0.114998 | − | 0.0418558i | ||||
\(894\) | −16555.1 | −0.619337 | ||||||||
\(895\) | 1303.88 | − | 474.572i | 0.0486969 | − | 0.0177242i | ||||
\(896\) | 38.2751 | + | 66.2945i | 0.00142710 | + | 0.00247181i | ||||
\(897\) | −4157.75 | − | 23579.8i | −0.154764 | − | 0.877710i | ||||
\(898\) | 6656.41 | − | 11529.2i | 0.247358 | − | 0.428436i | ||||
\(899\) | 20933.6 | + | 36258.1i | 0.776614 | + | 1.34513i | ||||
\(900\) | −16610.1 | + | 13937.5i | −0.615187 | + | 0.516204i | ||||
\(901\) | 2413.59 | − | 13688.1i | 0.0892434 | − | 0.506125i | ||||
\(902\) | 12498.2 | − | 21647.5i | 0.461356 | − | 0.799093i | ||||
\(903\) | −2539.95 | − | 924.466i | −0.0936038 | − | 0.0340690i | ||||
\(904\) | −6700.54 | − | 2438.80i | −0.246523 | − | 0.0897269i | ||||
\(905\) | −745.599 | − | 4228.50i | −0.0273863 | − | 0.155315i | ||||
\(906\) | 7795.16 | + | 6540.92i | 0.285847 | + | 0.239854i | ||||
\(907\) | 20996.2 | + | 17617.9i | 0.768651 | + | 0.644975i | 0.940363 | − | 0.340172i | \(-0.110485\pi\) |
−0.171712 | + | 0.985147i | \(0.554930\pi\) | |||||||
\(908\) | 3513.59 | + | 19926.6i | 0.128417 | + | 0.728289i | ||||
\(909\) | 65936.4 | + | 23998.9i | 2.40591 | + | 0.875679i | ||||
\(910\) | −106.286 | − | 38.6851i | −0.00387183 | − | 0.00140923i | ||||
\(911\) | 5951.78 | − | 10308.8i | 0.216456 | − | 0.374912i | −0.737266 | − | 0.675602i | \(-0.763884\pi\) |
0.953722 | + | 0.300690i | \(0.0972169\pi\) | |||||||
\(912\) | 857.133 | − | 4861.05i | 0.0311212 | − | 0.176497i | ||||
\(913\) | 7908.65 | − | 6636.15i | 0.286679 | − | 0.240552i | ||||
\(914\) | −3383.12 | − | 5859.74i | −0.122433 | − | 0.212060i | ||||
\(915\) | −1062.10 | + | 1839.61i | −0.0383736 | + | 0.0664650i | ||||
\(916\) | −3323.56 | − | 18848.8i | −0.119884 | − | 0.679894i | ||||
\(917\) | −26.2365 | − | 45.4429i | −0.000944825 | − | 0.00163648i | ||||
\(918\) | −17937.6 | + | 6528.75i | −0.644912 | + | 0.234729i | ||||
\(919\) | −49020.6 | −1.75956 | −0.879782 | − | 0.475378i | \(-0.842311\pi\) | ||||
−0.879782 | + | 0.475378i | \(0.842311\pi\) | |||||||
\(920\) | −2043.41 | + | 743.740i | −0.0732274 | + | 0.0266526i | ||||
\(921\) | 9001.03 | − | 51047.4i | 0.322035 | − | 1.82635i | ||||
\(922\) | 10704.1 | + | 8981.80i | 0.382343 | + | 0.320824i | ||||
\(923\) | −27311.5 | + | 22917.1i | −0.973965 | + | 0.817254i | ||||
\(924\) | 776.348 | 0.0276407 | ||||||||
\(925\) | 21746.5 | − | 14354.4i | 0.772997 | − | 0.510237i | ||||
\(926\) | −25822.8 | −0.916403 | ||||||||
\(927\) | −10104.1 | + | 8478.33i | −0.357995 | + | 0.300393i | ||||
\(928\) | 4123.61 | + | 3460.12i | 0.145866 | + | 0.122396i | ||||
\(929\) | −1410.97 | + | 8002.04i | −0.0498306 | + | 0.282603i | −0.999533 | − | 0.0305499i | \(-0.990274\pi\) |
0.949703 | + | 0.313153i | \(0.101385\pi\) | |||||||
\(930\) | −12205.6 | + | 4442.48i | −0.430363 | + | 0.156639i | ||||
\(931\) | 12303.0 | 0.433098 | ||||||||
\(932\) | 5277.08 | − | 1920.70i | 0.185468 | − | 0.0675049i | ||||
\(933\) | −5982.49 | − | 10362.0i | −0.209923 | − | 0.363597i | ||||
\(934\) | −4761.78 | − | 27005.4i | −0.166820 | − | 0.946085i | ||||
\(935\) | 3214.66 | − | 5567.95i | 0.112439 | − | 0.194750i | ||||
\(936\) | −5831.36 | − | 10100.2i | −0.203637 | − | 0.352709i | ||||
\(937\) | 10716.1 | − | 8991.85i | 0.373617 | − | 0.313502i | −0.436574 | − | 0.899668i | \(-0.643808\pi\) |
0.810190 | + | 0.586167i | \(0.199364\pi\) | |||||||
\(938\) | −3.73154 | + | 21.1626i | −0.000129893 | + | 0.000736658i | ||||
\(939\) | −23093.8 | + | 39999.6i | −0.802595 | + | 1.39013i | ||||
\(940\) | −1038.27 | − | 377.900i | −0.0360262 | − | 0.0131125i | ||||
\(941\) | −8382.51 | − | 3050.99i | −0.290395 | − | 0.105695i | 0.192715 | − | 0.981255i | \(-0.438271\pi\) |
−0.483110 | + | 0.875560i | \(0.660493\pi\) | |||||||
\(942\) | 4183.38 | + | 23725.2i | 0.144694 | + | 0.820602i | ||||
\(943\) | 22685.9 | + | 19035.7i | 0.783410 | + | 0.657359i | ||||
\(944\) | −2078.77 | − | 1744.30i | −0.0716719 | − | 0.0601398i | ||||
\(945\) | −53.7115 | − | 304.613i | −0.00184893 | − | 0.0104858i | ||||
\(946\) | 37342.2 | + | 13591.5i | 1.28340 | + | 0.467121i | ||||
\(947\) | −24952.1 | − | 9081.82i | −0.856214 | − | 0.311636i | −0.123643 | − | 0.992327i | \(-0.539458\pi\) |
−0.732571 | + | 0.680691i | \(0.761680\pi\) | |||||||
\(948\) | 23183.4 | − | 40154.8i | 0.794262 | − | 1.37570i | ||||
\(949\) | −4951.62 | + | 28082.1i | −0.169375 | + | 0.960571i | ||||
\(950\) | −6369.02 | + | 5344.24i | −0.217514 | + | 0.182516i | ||||
\(951\) | −29604.0 | − | 51275.6i | −1.00944 | − | 1.74840i | ||||
\(952\) | 134.072 | − | 232.219i | 0.00456439 | − | 0.00790575i | ||||
\(953\) | 5942.18 | + | 33699.8i | 0.201979 | + | 1.14548i | 0.902123 | + | 0.431478i | \(0.142008\pi\) |
−0.700144 | + | 0.714001i | \(0.746881\pi\) | |||||||
\(954\) | 11611.5 | + | 20111.8i | 0.394064 | + | 0.682540i | ||||
\(955\) | 8562.82 | − | 3116.61i | 0.290143 | − | 0.105603i | ||||
\(956\) | 10579.3 | 0.357906 | ||||||||
\(957\) | 51300.2 | − | 18671.7i | 1.73281 | − | 0.630691i | ||||
\(958\) | 1570.95 | − | 8909.28i | 0.0529802 | − | 0.300465i | ||||
\(959\) | −1096.21 | − | 919.827i | −0.0369117 | − | 0.0309726i | ||||
\(960\) | −1279.31 | + | 1073.47i | −0.0430100 | + | 0.0360896i | ||||
\(961\) | 32153.5 | 1.07930 | ||||||||
\(962\) | 5572.43 | + | 12860.0i | 0.186759 | + | 0.431000i | ||||
\(963\) | 12197.9 | 0.408175 | ||||||||
\(964\) | 7416.05 | − | 6222.80i | 0.247775 | − | 0.207908i | ||||
\(965\) | 4363.36 | + | 3661.30i | 0.145556 | + | 0.122136i | ||||
\(966\) | −159.718 | + | 905.804i | −0.00531970 | + | 0.0301695i | ||||
\(967\) | 55677.0 | − | 20264.8i | 1.85155 | − | 0.673910i | 0.867133 | − | 0.498076i | \(-0.165960\pi\) |
0.984420 | − | 0.175834i | \(-0.0562623\pi\) | |||||||
\(968\) | −765.829 | −0.0254284 | ||||||||
\(969\) | −16247.4 | + | 5913.59i | −0.538641 | + | 0.196049i | ||||
\(970\) | −4124.57 | − | 7143.96i | −0.136528 | − | 0.236473i | ||||
\(971\) | 5694.24 | + | 32293.6i | 0.188194 | + | 1.06730i | 0.921782 | + | 0.387708i | \(0.126733\pi\) |
−0.733588 | + | 0.679595i | \(0.762156\pi\) | |||||||
\(972\) | −5776.17 | + | 10004.6i | −0.190608 | + | 0.330142i | ||||
\(973\) | 917.276 | + | 1588.77i | 0.0302225 | + | 0.0523469i | ||||
\(974\) | 6249.41 | − | 5243.88i | 0.205589 | − | 0.172510i | ||||
\(975\) | −5378.38 | + | 30502.3i | −0.176663 | + | 1.00190i | ||||
\(976\) | 651.242 | − | 1127.98i | 0.0213583 | − | 0.0369937i | ||||
\(977\) | −17149.3 | − | 6241.85i | −0.561572 | − | 0.204396i | 0.0456085 | − | 0.998959i | \(-0.485477\pi\) |
−0.607181 | + | 0.794564i | \(0.707700\pi\) | |||||||
\(978\) | 4693.07 | + | 1708.14i | 0.153444 | + | 0.0558489i | ||||
\(979\) | 1144.91 | + | 6493.10i | 0.0373763 | + | 0.211972i | ||||
\(980\) | −3188.66 | − | 2675.60i | −0.103937 | − | 0.0872132i | ||||
\(981\) | −62496.1 | − | 52440.4i | −2.03399 | − | 1.70672i | ||||
\(982\) | 1954.94 | + | 11087.0i | 0.0635281 | + | 0.360286i | ||||
\(983\) | −19220.5 | − | 6995.69i | −0.623640 | − | 0.226987i | 0.0108205 | − | 0.999941i | \(-0.496556\pi\) |
−0.634461 | + | 0.772955i | \(0.718778\pi\) | |||||||
\(984\) | 21371.8 | + | 7778.69i | 0.692385 | + | 0.252008i | ||||
\(985\) | −2074.62 | + | 3593.36i | −0.0671097 | + | 0.116237i | ||||
\(986\) | 3274.27 | − | 18569.3i | 0.105755 | − | 0.599764i | ||||
\(987\) | −358.007 | + | 300.404i | −0.0115456 | + | 0.00968790i | ||||
\(988\) | −2236.00 | − | 3872.86i | −0.0720006 | − | 0.124709i | ||||
\(989\) | −23540.2 | + | 40772.8i | −0.756861 | + | 1.31092i | ||||
\(990\) | 1865.36 | + | 10579.0i | 0.0598837 | + | 0.339617i | ||||
\(991\) | 2187.63 | + | 3789.08i | 0.0701234 | + | 0.121457i | 0.898955 | − | 0.438041i | \(-0.144327\pi\) |
−0.828832 | + | 0.559498i | \(0.810994\pi\) | |||||||
\(992\) | 7484.06 | − | 2723.98i | 0.239535 | − | 0.0871838i | ||||
\(993\) | −64467.6 | −2.06024 | ||||||||
\(994\) | 1286.98 | − | 468.423i | 0.0410670 | − | 0.0149472i | ||||
\(995\) | −1267.20 | + | 7186.64i | −0.0403748 | + | 0.228977i | ||||
\(996\) | 7195.83 | + | 6038.02i | 0.228924 | + | 0.192090i | ||||
\(997\) | 45465.4 | − | 38150.0i | 1.44424 | − | 1.21186i | 0.507585 | − | 0.861602i | \(-0.330538\pi\) |
0.936653 | − | 0.350258i | \(-0.113906\pi\) | |||||||
\(998\) | 22128.2 | 0.701861 | ||||||||
\(999\) | −22836.8 | + | 30781.1i | −0.723248 | + | 0.974845i |
(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 | 74.4.f.a.49.1 | ✓ | 24 | |
37.34 | even | 9 | inner | 74.4.f.a.71.1 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
74.4.f.a.49.1 | ✓ | 24 | 1.1 | even | 1 | trivial | |
74.4.f.a.71.1 | yes | 24 | 37.34 | even | 9 | inner |