Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,3,Mod(119,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.119");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.b (of order \(2\), degree \(1\), 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: | \(4.82290067918\) |
Analytic rank: | \(0\) |
Dimension: | \(38\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 119.35 | ||
Character | \(\chi\) | \(=\) | 177.119 |
Dual form | 177.3.b.a.119.4 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 3.49731i | 1.74866i | 0.485336 | + | 0.874328i | \(0.338697\pi\) | ||||
−0.485336 | + | 0.874328i | \(0.661303\pi\) | |||||||
\(3\) | −2.91161 | + | 0.722867i | −0.970536 | + | 0.240956i | ||||
\(4\) | −8.23119 | −2.05780 | ||||||||
\(5\) | 8.21287i | 1.64257i | 0.570516 | + | 0.821287i | \(0.306743\pi\) | ||||
−0.570516 | + | 0.821287i | \(0.693257\pi\) | |||||||
\(6\) | −2.52809 | − | 10.1828i | −0.421349 | − | 1.69713i | ||||
\(7\) | −3.56525 | −0.509321 | −0.254661 | − | 0.967031i | \(-0.581964\pi\) | ||||
−0.254661 | + | 0.967031i | \(0.581964\pi\) | |||||||
\(8\) | − | 14.7978i | − | 1.84972i | ||||||
\(9\) | 7.95493 | − | 4.20941i | 0.883881 | − | 0.467713i | ||||
\(10\) | −28.7230 | −2.87230 | ||||||||
\(11\) | 6.15586i | 0.559624i | 0.960055 | + | 0.279812i | \(0.0902721\pi\) | ||||
−0.960055 | + | 0.279812i | \(0.909728\pi\) | |||||||
\(12\) | 23.9660 | − | 5.95006i | 1.99717 | − | 0.495838i | ||||
\(13\) | 2.36040 | 0.181569 | 0.0907846 | − | 0.995871i | \(-0.471063\pi\) | ||||
0.0907846 | + | 0.995871i | \(0.471063\pi\) | |||||||
\(14\) | − | 12.4688i | − | 0.890627i | ||||||
\(15\) | −5.93681 | − | 23.9127i | −0.395788 | − | 1.59418i | ||||
\(16\) | 18.8277 | 1.17673 | ||||||||
\(17\) | − | 0.880690i | − | 0.0518053i | −0.999664 | − | 0.0259027i | \(-0.991754\pi\) | ||
0.999664 | − | 0.0259027i | \(-0.00824600\pi\) | |||||||
\(18\) | 14.7216 | + | 27.8209i | 0.817868 | + | 1.54560i | ||||
\(19\) | 32.8857 | 1.73083 | 0.865414 | − | 0.501057i | \(-0.167055\pi\) | ||||
0.865414 | + | 0.501057i | \(0.167055\pi\) | |||||||
\(20\) | − | 67.6017i | − | 3.38008i | ||||||
\(21\) | 10.3806 | − | 2.57720i | 0.494314 | − | 0.122724i | ||||
\(22\) | −21.5290 | −0.978590 | ||||||||
\(23\) | − | 20.2343i | − | 0.879752i | −0.898059 | − | 0.439876i | \(-0.855022\pi\) | ||
0.898059 | − | 0.439876i | \(-0.144978\pi\) | |||||||
\(24\) | 10.6968 | + | 43.0854i | 0.445702 | + | 1.79522i | ||||
\(25\) | −42.4512 | −1.69805 | ||||||||
\(26\) | 8.25505i | 0.317502i | ||||||||
\(27\) | −20.1188 | + | 18.0065i | −0.745140 | + | 0.666908i | ||||
\(28\) | 29.3462 | 1.04808 | ||||||||
\(29\) | 46.3821i | 1.59938i | 0.600411 | + | 0.799691i | \(0.295004\pi\) | ||||
−0.600411 | + | 0.799691i | \(0.704996\pi\) | |||||||
\(30\) | 83.6300 | − | 20.7629i | 2.78767 | − | 0.692096i | ||||
\(31\) | −55.1410 | −1.77874 | −0.889371 | − | 0.457186i | \(-0.848857\pi\) | ||||
−0.889371 | + | 0.457186i | \(0.848857\pi\) | |||||||
\(32\) | 6.65529i | 0.207978i | ||||||||
\(33\) | −4.44987 | − | 17.9235i | −0.134845 | − | 0.543135i | ||||
\(34\) | 3.08005 | 0.0905897 | ||||||||
\(35\) | − | 29.2809i | − | 0.836597i | ||||||
\(36\) | −65.4785 | + | 34.6485i | −1.81885 | + | 0.962458i | ||||
\(37\) | −10.4535 | −0.282527 | −0.141264 | − | 0.989972i | \(-0.545117\pi\) | ||||
−0.141264 | + | 0.989972i | \(0.545117\pi\) | |||||||
\(38\) | 115.012i | 3.02662i | ||||||||
\(39\) | −6.87256 | + | 1.70626i | −0.176219 | + | 0.0437501i | ||||
\(40\) | 121.532 | 3.03831 | ||||||||
\(41\) | 5.03972i | 0.122920i | 0.998110 | + | 0.0614599i | \(0.0195756\pi\) | ||||
−0.998110 | + | 0.0614599i | \(0.980424\pi\) | |||||||
\(42\) | 9.01328 | + | 36.3042i | 0.214602 | + | 0.864386i | ||||
\(43\) | 14.2432 | 0.331238 | 0.165619 | − | 0.986190i | \(-0.447038\pi\) | ||||
0.165619 | + | 0.986190i | \(0.447038\pi\) | |||||||
\(44\) | − | 50.6701i | − | 1.15159i | ||||||
\(45\) | 34.5713 | + | 65.3327i | 0.768252 | + | 1.45184i | ||||
\(46\) | 70.7656 | 1.53838 | ||||||||
\(47\) | − | 75.4957i | − | 1.60629i | −0.595783 | − | 0.803146i | \(-0.703158\pi\) | ||
0.595783 | − | 0.803146i | \(-0.296842\pi\) | |||||||
\(48\) | −54.8190 | + | 13.6100i | −1.14206 | + | 0.283541i | ||||
\(49\) | −36.2890 | −0.740592 | ||||||||
\(50\) | − | 148.465i | − | 2.96930i | ||||||
\(51\) | 0.636622 | + | 2.56423i | 0.0124828 | + | 0.0502789i | ||||
\(52\) | −19.4289 | −0.373633 | ||||||||
\(53\) | 72.2215i | 1.36267i | 0.731972 | + | 0.681335i | \(0.238600\pi\) | ||||
−0.731972 | + | 0.681335i | \(0.761400\pi\) | |||||||
\(54\) | −62.9744 | − | 70.3617i | −1.16619 | − | 1.30299i | ||||
\(55\) | −50.5573 | −0.919224 | ||||||||
\(56\) | 52.7578i | 0.942103i | ||||||||
\(57\) | −95.7504 | + | 23.7720i | −1.67983 | + | 0.417053i | ||||
\(58\) | −162.213 | −2.79677 | ||||||||
\(59\) | 7.68115i | 0.130189i | ||||||||
\(60\) | 48.8670 | + | 196.830i | 0.814451 | + | 3.28049i | ||||
\(61\) | −8.24650 | −0.135188 | −0.0675942 | − | 0.997713i | \(-0.521532\pi\) | ||||
−0.0675942 | + | 0.997713i | \(0.521532\pi\) | |||||||
\(62\) | − | 192.845i | − | 3.11041i | ||||||
\(63\) | −28.3613 | + | 15.0076i | −0.450179 | + | 0.238216i | ||||
\(64\) | 52.0353 | 0.813052 | ||||||||
\(65\) | 19.3856i | 0.298241i | ||||||||
\(66\) | 62.6840 | − | 15.5626i | 0.949757 | − | 0.235797i | ||||
\(67\) | −101.205 | −1.51052 | −0.755259 | − | 0.655427i | \(-0.772489\pi\) | ||||
−0.755259 | + | 0.655427i | \(0.772489\pi\) | |||||||
\(68\) | 7.24913i | 0.106605i | ||||||||
\(69\) | 14.6267 | + | 58.9143i | 0.211981 | + | 0.853831i | ||||
\(70\) | 102.404 | 1.46292 | ||||||||
\(71\) | 97.6488i | 1.37533i | 0.726026 | + | 0.687667i | \(0.241365\pi\) | ||||
−0.726026 | + | 0.687667i | \(0.758635\pi\) | |||||||
\(72\) | −62.2900 | − | 117.715i | −0.865139 | − | 1.63494i | ||||
\(73\) | 28.7308 | 0.393573 | 0.196786 | − | 0.980446i | \(-0.436949\pi\) | ||||
0.196786 | + | 0.980446i | \(0.436949\pi\) | |||||||
\(74\) | − | 36.5592i | − | 0.494043i | ||||||
\(75\) | 123.601 | − | 30.6866i | 1.64802 | − | 0.409154i | ||||
\(76\) | −270.689 | −3.56169 | ||||||||
\(77\) | − | 21.9472i | − | 0.285028i | ||||||
\(78\) | −5.96731 | − | 24.0355i | −0.0765040 | − | 0.308147i | ||||
\(79\) | 149.129 | 1.88771 | 0.943855 | − | 0.330359i | \(-0.107170\pi\) | ||||
0.943855 | + | 0.330359i | \(0.107170\pi\) | |||||||
\(80\) | 154.630i | 1.93287i | ||||||||
\(81\) | 45.5617 | − | 66.9711i | 0.562490 | − | 0.826804i | ||||
\(82\) | −17.6255 | −0.214945 | ||||||||
\(83\) | − | 85.1008i | − | 1.02531i | −0.858595 | − | 0.512655i | \(-0.828662\pi\) | ||
0.858595 | − | 0.512655i | \(-0.171338\pi\) | |||||||
\(84\) | −85.4447 | + | 21.2134i | −1.01720 | + | 0.252541i | ||||
\(85\) | 7.23299 | 0.0850940 | ||||||||
\(86\) | 49.8130i | 0.579221i | ||||||||
\(87\) | −33.5281 | − | 135.047i | −0.385380 | − | 1.55226i | ||||
\(88\) | 91.0932 | 1.03515 | ||||||||
\(89\) | 98.6034i | 1.10790i | 0.832549 | + | 0.553952i | \(0.186881\pi\) | ||||
−0.832549 | + | 0.553952i | \(0.813119\pi\) | |||||||
\(90\) | −228.489 | + | 120.907i | −2.53877 | + | 1.34341i | ||||
\(91\) | −8.41541 | −0.0924770 | ||||||||
\(92\) | 166.552i | 1.81035i | ||||||||
\(93\) | 160.549 | − | 39.8596i | 1.72633 | − | 0.428598i | ||||
\(94\) | 264.032 | 2.80885 | ||||||||
\(95\) | 270.086i | 2.84301i | ||||||||
\(96\) | −4.81090 | − | 19.3776i | −0.0501135 | − | 0.201850i | ||||
\(97\) | 93.2794 | 0.961644 | 0.480822 | − | 0.876818i | \(-0.340338\pi\) | ||||
0.480822 | + | 0.876818i | \(0.340338\pi\) | |||||||
\(98\) | − | 126.914i | − | 1.29504i | ||||||
\(99\) | 25.9126 | + | 48.9694i | 0.261743 | + | 0.494641i | ||||
\(100\) | 349.424 | 3.49424 | ||||||||
\(101\) | 40.3505i | 0.399510i | 0.979846 | + | 0.199755i | \(0.0640146\pi\) | ||||
−0.979846 | + | 0.199755i | \(0.935985\pi\) | |||||||
\(102\) | −8.96790 | + | 2.22647i | −0.0879206 | + | 0.0218281i | ||||
\(103\) | −119.073 | −1.15605 | −0.578023 | − | 0.816021i | \(-0.696175\pi\) | ||||
−0.578023 | + | 0.816021i | \(0.696175\pi\) | |||||||
\(104\) | − | 34.9287i | − | 0.335853i | ||||||
\(105\) | 21.1662 | + | 85.2545i | 0.201583 | + | 0.811948i | ||||
\(106\) | −252.581 | −2.38284 | ||||||||
\(107\) | − | 99.0486i | − | 0.925688i | −0.886440 | − | 0.462844i | \(-0.846829\pi\) | ||
0.886440 | − | 0.462844i | \(-0.153171\pi\) | |||||||
\(108\) | 165.602 | − | 148.215i | 1.53335 | − | 1.37236i | ||||
\(109\) | 20.2659 | 0.185926 | 0.0929630 | − | 0.995670i | \(-0.470366\pi\) | ||||
0.0929630 | + | 0.995670i | \(0.470366\pi\) | |||||||
\(110\) | − | 176.815i | − | 1.60741i | ||||||
\(111\) | 30.4365 | − | 7.55650i | 0.274203 | − | 0.0680766i | ||||
\(112\) | −67.1255 | −0.599335 | ||||||||
\(113\) | 68.4754i | 0.605977i | 0.952994 | + | 0.302988i | \(0.0979843\pi\) | ||||
−0.952994 | + | 0.302988i | \(0.902016\pi\) | |||||||
\(114\) | −83.1382 | − | 334.869i | −0.729282 | − | 2.93745i | ||||
\(115\) | 166.182 | 1.44506 | ||||||||
\(116\) | − | 381.780i | − | 3.29121i | ||||||
\(117\) | 18.7768 | − | 9.93590i | 0.160485 | − | 0.0849222i | ||||
\(118\) | −26.8634 | −0.227656 | ||||||||
\(119\) | 3.13988i | 0.0263855i | ||||||||
\(120\) | −353.854 | + | 87.8517i | −2.94879 | + | 0.732098i | ||||
\(121\) | 83.1053 | 0.686821 | ||||||||
\(122\) | − | 28.8406i | − | 0.236398i | ||||||
\(123\) | −3.64305 | − | 14.6737i | −0.0296183 | − | 0.119298i | ||||
\(124\) | 453.876 | 3.66029 | ||||||||
\(125\) | − | 143.324i | − | 1.14659i | ||||||
\(126\) | −52.4863 | − | 99.1882i | −0.416558 | − | 0.787208i | ||||
\(127\) | 76.7243 | 0.604128 | 0.302064 | − | 0.953288i | \(-0.402324\pi\) | ||||
0.302064 | + | 0.953288i | \(0.402324\pi\) | |||||||
\(128\) | 208.605i | 1.62973i | ||||||||
\(129\) | −41.4707 | + | 10.2960i | −0.321478 | + | 0.0798136i | ||||
\(130\) | −67.7977 | −0.521520 | ||||||||
\(131\) | 218.508i | 1.66800i | 0.551766 | + | 0.833999i | \(0.313954\pi\) | ||||
−0.551766 | + | 0.833999i | \(0.686046\pi\) | |||||||
\(132\) | 36.6278 | + | 147.531i | 0.277483 | + | 1.11766i | ||||
\(133\) | −117.246 | −0.881547 | ||||||||
\(134\) | − | 353.944i | − | 2.64138i | ||||||
\(135\) | −147.885 | − | 165.233i | −1.09545 | − | 1.22395i | ||||
\(136\) | −13.0323 | −0.0958256 | ||||||||
\(137\) | 56.4715i | 0.412201i | 0.978531 | + | 0.206101i | \(0.0660774\pi\) | ||||
−0.978531 | + | 0.206101i | \(0.933923\pi\) | |||||||
\(138\) | −206.042 | + | 51.1542i | −1.49306 | + | 0.370682i | ||||
\(139\) | 62.0097 | 0.446113 | 0.223056 | − | 0.974806i | \(-0.428397\pi\) | ||||
0.223056 | + | 0.974806i | \(0.428397\pi\) | |||||||
\(140\) | 241.017i | 1.72155i | ||||||||
\(141\) | 54.5734 | + | 219.814i | 0.387045 | + | 1.55896i | ||||
\(142\) | −341.508 | −2.40499 | ||||||||
\(143\) | 14.5303i | 0.101610i | ||||||||
\(144\) | 149.773 | − | 79.2537i | 1.04009 | − | 0.550373i | ||||
\(145\) | −380.930 | −2.62710 | ||||||||
\(146\) | 100.481i | 0.688223i | ||||||||
\(147\) | 105.659 | − | 26.2321i | 0.718771 | − | 0.178450i | ||||
\(148\) | 86.0448 | 0.581384 | ||||||||
\(149\) | 26.8893i | 0.180465i | 0.995921 | + | 0.0902324i | \(0.0287610\pi\) | ||||
−0.995921 | + | 0.0902324i | \(0.971239\pi\) | |||||||
\(150\) | 107.321 | + | 432.272i | 0.715470 | + | 2.88181i | ||||
\(151\) | −124.391 | −0.823785 | −0.411892 | − | 0.911233i | \(-0.635132\pi\) | ||||
−0.411892 | + | 0.911233i | \(0.635132\pi\) | |||||||
\(152\) | − | 486.636i | − | 3.20155i | ||||||
\(153\) | −3.70719 | − | 7.00583i | −0.0242300 | − | 0.0457897i | ||||
\(154\) | 76.7561 | 0.498416 | ||||||||
\(155\) | − | 452.866i | − | 2.92171i | ||||||
\(156\) | 56.5693 | − | 14.0445i | 0.362624 | − | 0.0900289i | ||||
\(157\) | −223.209 | −1.42172 | −0.710858 | − | 0.703336i | \(-0.751693\pi\) | ||||
−0.710858 | + | 0.703336i | \(0.751693\pi\) | |||||||
\(158\) | 521.551i | 3.30096i | ||||||||
\(159\) | −52.2066 | − | 210.281i | −0.328343 | − | 1.32252i | ||||
\(160\) | −54.6591 | −0.341619 | ||||||||
\(161\) | 72.1403i | 0.448076i | ||||||||
\(162\) | 234.219 | + | 159.343i | 1.44580 | + | 0.983601i | ||||
\(163\) | 61.7561 | 0.378872 | 0.189436 | − | 0.981893i | \(-0.439334\pi\) | ||||
0.189436 | + | 0.981893i | \(0.439334\pi\) | |||||||
\(164\) | − | 41.4829i | − | 0.252944i | ||||||
\(165\) | 147.203 | − | 36.5462i | 0.892140 | − | 0.221492i | ||||
\(166\) | 297.624 | 1.79291 | ||||||||
\(167\) | 60.8323i | 0.364265i | 0.983274 | + | 0.182133i | \(0.0583000\pi\) | ||||
−0.983274 | + | 0.182133i | \(0.941700\pi\) | |||||||
\(168\) | −38.1369 | − | 153.610i | −0.227005 | − | 0.914345i | ||||
\(169\) | −163.429 | −0.967033 | ||||||||
\(170\) | 25.2960i | 0.148800i | ||||||||
\(171\) | 261.604 | − | 138.430i | 1.52985 | − | 0.809530i | ||||
\(172\) | −117.239 | −0.681620 | ||||||||
\(173\) | − | 110.975i | − | 0.641477i | −0.947168 | − | 0.320738i | \(-0.896069\pi\) | ||
0.947168 | − | 0.320738i | \(-0.103931\pi\) | |||||||
\(174\) | 472.300 | − | 117.258i | 2.71437 | − | 0.673898i | ||||
\(175\) | 151.349 | 0.864851 | ||||||||
\(176\) | 115.901i | 0.658528i | ||||||||
\(177\) | −5.55245 | − | 22.3645i | −0.0313698 | − | 0.126353i | ||||
\(178\) | −344.847 | −1.93734 | ||||||||
\(179\) | − | 54.6001i | − | 0.305029i | −0.988301 | − | 0.152514i | \(-0.951263\pi\) | ||
0.988301 | − | 0.152514i | \(-0.0487370\pi\) | |||||||
\(180\) | −284.563 | − | 537.766i | −1.58091 | − | 2.98759i | ||||
\(181\) | −124.891 | −0.690008 | −0.345004 | − | 0.938601i | \(-0.612122\pi\) | ||||
−0.345004 | + | 0.938601i | \(0.612122\pi\) | |||||||
\(182\) | − | 29.4313i | − | 0.161710i | ||||||
\(183\) | 24.0106 | − | 5.96112i | 0.131205 | − | 0.0325744i | ||||
\(184\) | −299.423 | −1.62730 | ||||||||
\(185\) | − | 85.8533i | − | 0.464072i | ||||||
\(186\) | 139.402 | + | 561.490i | 0.749471 | + | 3.01876i | ||||
\(187\) | 5.42141 | 0.0289915 | ||||||||
\(188\) | 621.419i | 3.30542i | ||||||||
\(189\) | 71.7284 | − | 64.1977i | 0.379516 | − | 0.339670i | ||||
\(190\) | −944.576 | −4.97145 | ||||||||
\(191\) | 96.6411i | 0.505974i | 0.967470 | + | 0.252987i | \(0.0814130\pi\) | ||||
−0.967470 | + | 0.252987i | \(0.918587\pi\) | |||||||
\(192\) | −151.506 | + | 37.6146i | −0.789096 | + | 0.195909i | ||||
\(193\) | −6.90714 | −0.0357883 | −0.0178941 | − | 0.999840i | \(-0.505696\pi\) | ||||
−0.0178941 | + | 0.999840i | \(0.505696\pi\) | |||||||
\(194\) | 326.227i | 1.68158i | ||||||||
\(195\) | −14.0133 | − | 56.4434i | −0.0718628 | − | 0.289453i | ||||
\(196\) | 298.702 | 1.52399 | ||||||||
\(197\) | − | 24.7912i | − | 0.125844i | −0.998018 | − | 0.0629218i | \(-0.979958\pi\) | ||
0.998018 | − | 0.0629218i | \(-0.0200419\pi\) | |||||||
\(198\) | −171.261 | + | 90.6244i | −0.864957 | + | 0.457699i | ||||
\(199\) | −20.1503 | −0.101258 | −0.0506289 | − | 0.998718i | \(-0.516123\pi\) | ||||
−0.0506289 | + | 0.998718i | \(0.516123\pi\) | |||||||
\(200\) | 628.184i | 3.14092i | ||||||||
\(201\) | 294.668 | − | 73.1576i | 1.46601 | − | 0.363968i | ||||
\(202\) | −141.118 | −0.698605 | ||||||||
\(203\) | − | 165.364i | − | 0.814599i | ||||||
\(204\) | −5.24016 | − | 21.1066i | −0.0256871 | − | 0.103464i | ||||
\(205\) | −41.3905 | −0.201905 | ||||||||
\(206\) | − | 416.434i | − | 2.02153i | ||||||
\(207\) | −85.1745 | − | 160.962i | −0.411471 | − | 0.777596i | ||||
\(208\) | 44.4410 | 0.213659 | ||||||||
\(209\) | 202.440i | 0.968613i | ||||||||
\(210\) | −298.162 | + | 74.0248i | −1.41982 | + | 0.352499i | ||||
\(211\) | 325.183 | 1.54115 | 0.770575 | − | 0.637349i | \(-0.219969\pi\) | ||||
0.770575 | + | 0.637349i | \(0.219969\pi\) | |||||||
\(212\) | − | 594.469i | − | 2.80410i | ||||||
\(213\) | −70.5871 | − | 284.315i | −0.331395 | − | 1.33481i | ||||
\(214\) | 346.404 | 1.61871 | ||||||||
\(215\) | 116.978i | 0.544082i | ||||||||
\(216\) | 266.457 | + | 297.714i | 1.23360 | + | 1.37830i | ||||
\(217\) | 196.591 | 0.905951 | ||||||||
\(218\) | 70.8763i | 0.325121i | ||||||||
\(219\) | −83.6528 | + | 20.7686i | −0.381976 | + | 0.0948336i | ||||
\(220\) | 416.147 | 1.89158 | ||||||||
\(221\) | − | 2.07878i | − | 0.00940625i | ||||||
\(222\) | 26.4274 | + | 106.446i | 0.119042 | + | 0.479486i | ||||
\(223\) | −146.044 | −0.654908 | −0.327454 | − | 0.944867i | \(-0.606191\pi\) | ||||
−0.327454 | + | 0.944867i | \(0.606191\pi\) | |||||||
\(224\) | − | 23.7278i | − | 0.105928i | ||||||
\(225\) | −337.696 | + | 178.695i | −1.50087 | + | 0.794198i | ||||
\(226\) | −239.480 | −1.05964 | ||||||||
\(227\) | 115.837i | 0.510296i | 0.966902 | + | 0.255148i | \(0.0821242\pi\) | ||||
−0.966902 | + | 0.255148i | \(0.917876\pi\) | |||||||
\(228\) | 788.140 | − | 195.672i | 3.45675 | − | 0.858211i | ||||
\(229\) | −425.811 | −1.85944 | −0.929719 | − | 0.368271i | \(-0.879950\pi\) | ||||
−0.929719 | + | 0.368271i | \(0.879950\pi\) | |||||||
\(230\) | 581.189i | 2.52691i | ||||||||
\(231\) | 15.8649 | + | 63.9016i | 0.0686792 | + | 0.276630i | ||||
\(232\) | 686.353 | 2.95842 | ||||||||
\(233\) | 160.262i | 0.687820i | 0.939003 | + | 0.343910i | \(0.111752\pi\) | ||||
−0.939003 | + | 0.343910i | \(0.888248\pi\) | |||||||
\(234\) | 34.7489 | + | 65.6683i | 0.148500 | + | 0.280634i | ||||
\(235\) | 620.036 | 2.63845 | ||||||||
\(236\) | − | 63.2250i | − | 0.267902i | ||||||
\(237\) | −434.206 | + | 107.801i | −1.83209 | + | 0.454855i | ||||
\(238\) | −10.9811 | −0.0461392 | ||||||||
\(239\) | − | 215.732i | − | 0.902644i | −0.892361 | − | 0.451322i | \(-0.850953\pi\) | ||
0.892361 | − | 0.451322i | \(-0.149047\pi\) | |||||||
\(240\) | −111.777 | − | 450.221i | −0.465736 | − | 1.87592i | ||||
\(241\) | 308.468 | 1.27995 | 0.639975 | − | 0.768396i | \(-0.278945\pi\) | ||||
0.639975 | + | 0.768396i | \(0.278945\pi\) | |||||||
\(242\) | 290.645i | 1.20101i | ||||||||
\(243\) | −84.2465 | + | 227.929i | −0.346694 | + | 0.937978i | ||||
\(244\) | 67.8785 | 0.278191 | ||||||||
\(245\) | − | 298.037i | − | 1.21648i | ||||||
\(246\) | 51.3184 | − | 12.7409i | 0.208612 | − | 0.0517921i | ||||
\(247\) | 77.6235 | 0.314265 | ||||||||
\(248\) | 815.965i | 3.29018i | ||||||||
\(249\) | 61.5166 | + | 247.780i | 0.247054 | + | 0.995101i | ||||
\(250\) | 501.250 | 2.00500 | ||||||||
\(251\) | 136.796i | 0.545004i | 0.962155 | + | 0.272502i | \(0.0878512\pi\) | ||||
−0.962155 | + | 0.272502i | \(0.912149\pi\) | |||||||
\(252\) | 233.447 | − | 123.530i | 0.926377 | − | 0.490200i | ||||
\(253\) | 124.560 | 0.492330 | ||||||||
\(254\) | 268.329i | 1.05641i | ||||||||
\(255\) | −21.0596 | + | 5.22849i | −0.0825868 | + | 0.0205039i | ||||
\(256\) | −521.415 | −2.03678 | ||||||||
\(257\) | − | 14.0185i | − | 0.0545468i | −0.999628 | − | 0.0272734i | \(-0.991318\pi\) | ||
0.999628 | − | 0.0272734i | \(-0.00868247\pi\) | |||||||
\(258\) | −36.0082 | − | 145.036i | −0.139567 | − | 0.562155i | ||||
\(259\) | 37.2693 | 0.143897 | ||||||||
\(260\) | − | 159.567i | − | 0.613719i | ||||||
\(261\) | 195.241 | + | 368.966i | 0.748051 | + | 1.41366i | ||||
\(262\) | −764.190 | −2.91675 | ||||||||
\(263\) | 157.760i | 0.599847i | 0.953963 | + | 0.299924i | \(0.0969612\pi\) | ||||
−0.953963 | + | 0.299924i | \(0.903039\pi\) | |||||||
\(264\) | −265.228 | + | 65.8483i | −1.00465 | + | 0.249425i | ||||
\(265\) | −593.146 | −2.23828 | ||||||||
\(266\) | − | 410.045i | − | 1.54152i | ||||||
\(267\) | −71.2772 | − | 287.094i | −0.266956 | − | 1.07526i | ||||
\(268\) | 833.035 | 3.10834 | ||||||||
\(269\) | − | 4.90919i | − | 0.0182498i | −0.999958 | − | 0.00912488i | \(-0.997095\pi\) | ||
0.999958 | − | 0.00912488i | \(-0.00290458\pi\) | |||||||
\(270\) | 577.871 | − | 517.200i | 2.14026 | − | 1.91556i | ||||
\(271\) | −169.663 | −0.626061 | −0.313031 | − | 0.949743i | \(-0.601344\pi\) | ||||
−0.313031 | + | 0.949743i | \(0.601344\pi\) | |||||||
\(272\) | − | 16.5814i | − | 0.0609611i | ||||||
\(273\) | 24.5024 | − | 6.08322i | 0.0897523 | − | 0.0222829i | ||||
\(274\) | −197.499 | −0.720798 | ||||||||
\(275\) | − | 261.324i | − | 0.950268i | ||||||
\(276\) | −120.395 | − | 484.935i | −0.436215 | − | 1.75701i | ||||
\(277\) | 247.335 | 0.892907 | 0.446453 | − | 0.894807i | \(-0.352687\pi\) | ||||
0.446453 | + | 0.894807i | \(0.352687\pi\) | |||||||
\(278\) | 216.867i | 0.780098i | ||||||||
\(279\) | −438.643 | + | 232.111i | −1.57220 | + | 0.831940i | ||||
\(280\) | −433.293 | −1.54747 | ||||||||
\(281\) | − | 36.5748i | − | 0.130159i | −0.997880 | − | 0.0650797i | \(-0.979270\pi\) | ||
0.997880 | − | 0.0650797i | \(-0.0207302\pi\) | |||||||
\(282\) | −768.758 | + | 190.860i | −2.72609 | + | 0.676809i | ||||
\(283\) | −298.925 | −1.05627 | −0.528135 | − | 0.849160i | \(-0.677109\pi\) | ||||
−0.528135 | + | 0.849160i | \(0.677109\pi\) | |||||||
\(284\) | − | 803.766i | − | 2.83016i | ||||||
\(285\) | −195.236 | − | 786.385i | −0.685040 | − | 2.75925i | ||||
\(286\) | −50.8170 | −0.177682 | ||||||||
\(287\) | − | 17.9678i | − | 0.0626057i | ||||||
\(288\) | 28.0149 | + | 52.9424i | 0.0972739 | + | 0.183828i | ||||
\(289\) | 288.224 | 0.997316 | ||||||||
\(290\) | − | 1332.23i | − | 4.59390i | ||||||
\(291\) | −271.593 | + | 67.4287i | −0.933310 | + | 0.231714i | ||||
\(292\) | −236.489 | −0.809893 | ||||||||
\(293\) | 168.158i | 0.573918i | 0.957943 | + | 0.286959i | \(0.0926444\pi\) | ||||
−0.957943 | + | 0.286959i | \(0.907356\pi\) | |||||||
\(294\) | 91.7420 | + | 369.524i | 0.312048 | + | 1.25688i | ||||
\(295\) | −63.0842 | −0.213845 | ||||||||
\(296\) | 154.689i | 0.522597i | ||||||||
\(297\) | −110.846 | − | 123.848i | −0.373218 | − | 0.416998i | ||||
\(298\) | −94.0401 | −0.315571 | ||||||||
\(299\) | − | 47.7610i | − | 0.159736i | ||||||
\(300\) | −1017.39 | + | 252.587i | −3.39128 | + | 0.841957i | ||||
\(301\) | −50.7806 | −0.168706 | ||||||||
\(302\) | − | 435.036i | − | 1.44052i | ||||||
\(303\) | −29.1681 | − | 117.485i | −0.0962642 | − | 0.387739i | ||||
\(304\) | 619.164 | 2.03672 | ||||||||
\(305\) | − | 67.7274i | − | 0.222057i | ||||||
\(306\) | 24.5016 | − | 12.9652i | 0.0800705 | − | 0.0423699i | ||||
\(307\) | 159.132 | 0.518345 | 0.259172 | − | 0.965831i | \(-0.416550\pi\) | ||||
0.259172 | + | 0.965831i | \(0.416550\pi\) | |||||||
\(308\) | 180.651i | 0.586531i | ||||||||
\(309\) | 346.693 | − | 86.0737i | 1.12198 | − | 0.278556i | ||||
\(310\) | 1583.81 | 5.10907 | ||||||||
\(311\) | − | 371.820i | − | 1.19556i | −0.801659 | − | 0.597782i | \(-0.796049\pi\) | ||
0.801659 | − | 0.597782i | \(-0.203951\pi\) | |||||||
\(312\) | 25.2488 | + | 101.699i | 0.0809257 | + | 0.325957i | ||||
\(313\) | −1.08898 | −0.00347918 | −0.00173959 | − | 0.999998i | \(-0.500554\pi\) | ||||
−0.00173959 | + | 0.999998i | \(0.500554\pi\) | |||||||
\(314\) | − | 780.633i | − | 2.48609i | ||||||
\(315\) | −123.255 | − | 232.927i | −0.391287 | − | 0.739452i | ||||
\(316\) | −1227.51 | −3.88453 | ||||||||
\(317\) | 333.579i | 1.05230i | 0.850392 | + | 0.526150i | \(0.176365\pi\) | ||||
−0.850392 | + | 0.526150i | \(0.823635\pi\) | |||||||
\(318\) | 735.417 | − | 182.583i | 2.31263 | − | 0.574159i | ||||
\(319\) | −285.522 | −0.895053 | ||||||||
\(320\) | 427.359i | 1.33550i | ||||||||
\(321\) | 71.5990 | + | 288.391i | 0.223050 | + | 0.898413i | ||||
\(322\) | −252.297 | −0.783531 | ||||||||
\(323\) | − | 28.9622i | − | 0.0896661i | ||||||
\(324\) | −375.027 | + | 551.252i | −1.15749 | + | 1.70140i | ||||
\(325\) | −100.202 | −0.308313 | ||||||||
\(326\) | 215.980i | 0.662516i | ||||||||
\(327\) | −59.0065 | + | 14.6496i | −0.180448 | + | 0.0448000i | ||||
\(328\) | 74.5767 | 0.227368 | ||||||||
\(329\) | 269.161i | 0.818118i | ||||||||
\(330\) | 127.814 | + | 514.815i | 0.387314 | + | 1.56005i | ||||
\(331\) | 333.908 | 1.00878 | 0.504392 | − | 0.863475i | \(-0.331717\pi\) | ||||
0.504392 | + | 0.863475i | \(0.331717\pi\) | |||||||
\(332\) | 700.481i | 2.10988i | ||||||||
\(333\) | −83.1569 | + | 44.0031i | −0.249720 | + | 0.132142i | ||||
\(334\) | −212.749 | −0.636974 | ||||||||
\(335\) | − | 831.181i | − | 2.48114i | ||||||
\(336\) | 195.443 | − | 48.5229i | 0.581676 | − | 0.144413i | ||||
\(337\) | 368.536 | 1.09358 | 0.546789 | − | 0.837271i | \(-0.315850\pi\) | ||||
0.546789 | + | 0.837271i | \(0.315850\pi\) | |||||||
\(338\) | − | 571.560i | − | 1.69101i | ||||||
\(339\) | −49.4986 | − | 199.373i | −0.146014 | − | 0.588122i | ||||
\(340\) | −59.5362 | −0.175106 | ||||||||
\(341\) | − | 339.441i | − | 0.995427i | ||||||
\(342\) | 484.132 | + | 914.909i | 1.41559 | + | 2.67517i | ||||
\(343\) | 304.076 | 0.886520 | ||||||||
\(344\) | − | 210.768i | − | 0.612698i | ||||||
\(345\) | −483.856 | + | 120.127i | −1.40248 | + | 0.348195i | ||||
\(346\) | 388.116 | 1.12172 | ||||||||
\(347\) | 454.904i | 1.31096i | 0.755211 | + | 0.655482i | \(0.227534\pi\) | ||||
−0.755211 | + | 0.655482i | \(0.772466\pi\) | |||||||
\(348\) | 275.976 | + | 1111.59i | 0.793035 | + | 3.19423i | ||||
\(349\) | 483.918 | 1.38658 | 0.693292 | − | 0.720657i | \(-0.256160\pi\) | ||||
0.693292 | + | 0.720657i | \(0.256160\pi\) | |||||||
\(350\) | 529.315i | 1.51233i | ||||||||
\(351\) | −47.4884 | + | 42.5026i | −0.135294 | + | 0.121090i | ||||
\(352\) | −40.9691 | −0.116389 | ||||||||
\(353\) | 294.298i | 0.833705i | 0.908974 | + | 0.416853i | \(0.136867\pi\) | ||||
−0.908974 | + | 0.416853i | \(0.863133\pi\) | |||||||
\(354\) | 78.2156 | − | 19.4186i | 0.220948 | − | 0.0548549i | ||||
\(355\) | −801.976 | −2.25909 | ||||||||
\(356\) | − | 811.623i | − | 2.27984i | ||||||
\(357\) | −2.26972 | − | 9.14210i | −0.00635775 | − | 0.0256081i | ||||
\(358\) | 190.954 | 0.533390 | ||||||||
\(359\) | − | 152.605i | − | 0.425083i | −0.977152 | − | 0.212541i | \(-0.931826\pi\) | ||
0.977152 | − | 0.212541i | \(-0.0681740\pi\) | |||||||
\(360\) | 966.781 | − | 511.580i | 2.68550 | − | 1.42105i | ||||
\(361\) | 720.472 | 1.99577 | ||||||||
\(362\) | − | 436.784i | − | 1.20659i | ||||||
\(363\) | −241.970 | + | 60.0741i | −0.666584 | + | 0.165493i | ||||
\(364\) | 69.2688 | 0.190299 | ||||||||
\(365\) | 235.962i | 0.646472i | ||||||||
\(366\) | 20.8479 | + | 83.9725i | 0.0569615 | + | 0.229433i | ||||
\(367\) | −252.819 | −0.688881 | −0.344441 | − | 0.938808i | \(-0.611931\pi\) | ||||
−0.344441 | + | 0.938808i | \(0.611931\pi\) | |||||||
\(368\) | − | 380.966i | − | 1.03523i | ||||||
\(369\) | 21.2142 | + | 40.0906i | 0.0574912 | + | 0.108647i | ||||
\(370\) | 300.256 | 0.811502 | ||||||||
\(371\) | − | 257.487i | − | 0.694036i | ||||||
\(372\) | −1321.51 | + | 328.092i | −3.55245 | + | 0.881968i | ||||
\(373\) | 630.560 | 1.69051 | 0.845255 | − | 0.534363i | \(-0.179449\pi\) | ||||
0.845255 | + | 0.534363i | \(0.179449\pi\) | |||||||
\(374\) | 18.9604i | 0.0506962i | ||||||||
\(375\) | 103.604 | + | 417.304i | 0.276279 | + | 1.11281i | ||||
\(376\) | −1117.17 | −2.97120 | ||||||||
\(377\) | 109.480i | 0.290399i | ||||||||
\(378\) | 224.519 | + | 250.857i | 0.593967 | + | 0.663642i | ||||
\(379\) | 14.5692 | 0.0384412 | 0.0192206 | − | 0.999815i | \(-0.493882\pi\) | ||||
0.0192206 | + | 0.999815i | \(0.493882\pi\) | |||||||
\(380\) | − | 2223.13i | − | 5.85034i | ||||||
\(381\) | −223.391 | + | 55.4615i | −0.586328 | + | 0.145568i | ||||
\(382\) | −337.984 | −0.884775 | ||||||||
\(383\) | 594.960i | 1.55342i | 0.629858 | + | 0.776710i | \(0.283113\pi\) | ||||
−0.629858 | + | 0.776710i | \(0.716887\pi\) | |||||||
\(384\) | −150.794 | − | 607.376i | −0.392692 | − | 1.58171i | ||||
\(385\) | 180.249 | 0.468180 | ||||||||
\(386\) | − | 24.1564i | − | 0.0625814i | ||||||
\(387\) | 113.304 | − | 59.9556i | 0.292775 | − | 0.154924i | ||||
\(388\) | −767.801 | −1.97887 | ||||||||
\(389\) | 405.842i | 1.04330i | 0.853161 | + | 0.521648i | \(0.174682\pi\) | ||||
−0.853161 | + | 0.521648i | \(0.825318\pi\) | |||||||
\(390\) | 197.400 | − | 49.0087i | 0.506154 | − | 0.125663i | ||||
\(391\) | −17.8202 | −0.0455758 | ||||||||
\(392\) | 536.997i | 1.36989i | ||||||||
\(393\) | −157.952 | − | 636.209i | −0.401914 | − | 1.61885i | ||||
\(394\) | 86.7025 | 0.220057 | ||||||||
\(395\) | 1224.78i | 3.10070i | ||||||||
\(396\) | −213.291 | − | 403.077i | −0.538615 | − | 1.01787i | ||||
\(397\) | 203.579 | 0.512793 | 0.256396 | − | 0.966572i | \(-0.417465\pi\) | ||||
0.256396 | + | 0.966572i | \(0.417465\pi\) | |||||||
\(398\) | − | 70.4720i | − | 0.177065i | ||||||
\(399\) | 341.374 | − | 84.7531i | 0.855573 | − | 0.212414i | ||||
\(400\) | −799.260 | −1.99815 | ||||||||
\(401\) | − | 266.091i | − | 0.663568i | −0.943355 | − | 0.331784i | \(-0.892349\pi\) | ||
0.943355 | − | 0.331784i | \(-0.107651\pi\) | |||||||
\(402\) | 255.855 | + | 1030.55i | 0.636455 | + | 2.56355i | ||||
\(403\) | −130.155 | −0.322965 | ||||||||
\(404\) | − | 332.133i | − | 0.822111i | ||||||
\(405\) | 550.025 | + | 374.192i | 1.35809 | + | 0.923931i | ||||
\(406\) | 578.328 | 1.42445 | ||||||||
\(407\) | − | 64.3504i | − | 0.158109i | ||||||
\(408\) | 37.9449 | − | 9.42061i | 0.0930022 | − | 0.0230897i | ||||
\(409\) | −50.9470 | −0.124565 | −0.0622824 | − | 0.998059i | \(-0.519838\pi\) | ||||
−0.0622824 | + | 0.998059i | \(0.519838\pi\) | |||||||
\(410\) | − | 144.756i | − | 0.353062i | ||||||
\(411\) | −40.8214 | − | 164.423i | −0.0993222 | − | 0.400056i | ||||
\(412\) | 980.110 | 2.37891 | ||||||||
\(413\) | − | 27.3852i | − | 0.0663080i | ||||||
\(414\) | 562.935 | − | 297.882i | 1.35975 | − | 0.719521i | ||||
\(415\) | 698.921 | 1.68415 | ||||||||
\(416\) | 15.7092i | 0.0377624i | ||||||||
\(417\) | −180.548 | + | 44.8248i | −0.432969 | + | 0.107493i | ||||
\(418\) | −707.996 | −1.69377 | ||||||||
\(419\) | 159.456i | 0.380564i | 0.981730 | + | 0.190282i | \(0.0609402\pi\) | ||||
−0.981730 | + | 0.190282i | \(0.939060\pi\) | |||||||
\(420\) | −174.223 | − | 701.746i | −0.414817 | − | 1.67082i | ||||
\(421\) | 413.018 | 0.981041 | 0.490520 | − | 0.871430i | \(-0.336807\pi\) | ||||
0.490520 | + | 0.871430i | \(0.336807\pi\) | |||||||
\(422\) | 1137.27i | 2.69494i | ||||||||
\(423\) | −317.793 | − | 600.563i | −0.751283 | − | 1.41977i | ||||
\(424\) | 1068.72 | 2.52056 | ||||||||
\(425\) | 37.3864i | 0.0879679i | ||||||||
\(426\) | 994.338 | − | 246.865i | 2.33413 | − | 0.579496i | ||||
\(427\) | 29.4008 | 0.0688543 | ||||||||
\(428\) | 815.288i | 1.90488i | ||||||||
\(429\) | −10.5035 | − | 42.3065i | −0.0244836 | − | 0.0986166i | ||||
\(430\) | −409.107 | −0.951413 | ||||||||
\(431\) | 797.605i | 1.85059i | 0.379246 | + | 0.925296i | \(0.376184\pi\) | ||||
−0.379246 | + | 0.925296i | \(0.623816\pi\) | |||||||
\(432\) | −378.791 | + | 339.022i | −0.876831 | + | 0.784773i | ||||
\(433\) | 139.027 | 0.321079 | 0.160539 | − | 0.987029i | \(-0.448677\pi\) | ||||
0.160539 | + | 0.987029i | \(0.448677\pi\) | |||||||
\(434\) | 687.541i | 1.58420i | ||||||||
\(435\) | 1109.12 | − | 275.362i | 2.54970 | − | 0.633016i | ||||
\(436\) | −166.813 | −0.382598 | ||||||||
\(437\) | − | 665.420i | − | 1.52270i | ||||||
\(438\) | −72.6341 | − | 292.560i | −0.165831 | − | 0.667945i | ||||
\(439\) | −179.734 | −0.409417 | −0.204708 | − | 0.978823i | \(-0.565625\pi\) | ||||
−0.204708 | + | 0.978823i | \(0.565625\pi\) | |||||||
\(440\) | 748.136i | 1.70031i | ||||||||
\(441\) | −288.676 | + | 152.755i | −0.654595 | + | 0.346384i | ||||
\(442\) | 7.27015 | 0.0164483 | ||||||||
\(443\) | 1.01657i | 0.00229473i | 0.999999 | + | 0.00114737i | \(0.000365218\pi\) | ||||
−0.999999 | + | 0.00114737i | \(0.999635\pi\) | |||||||
\(444\) | −250.529 | + | 62.1990i | −0.564254 | + | 0.140088i | ||||
\(445\) | −809.816 | −1.81981 | ||||||||
\(446\) | − | 510.763i | − | 1.14521i | ||||||
\(447\) | −19.4374 | − | 78.2910i | −0.0434840 | − | 0.175148i | ||||
\(448\) | −185.519 | −0.414104 | ||||||||
\(449\) | − | 486.766i | − | 1.08411i | −0.840343 | − | 0.542055i | \(-0.817646\pi\) | ||
0.840343 | − | 0.542055i | \(-0.182354\pi\) | |||||||
\(450\) | −624.951 | − | 1181.03i | −1.38878 | − | 2.62451i | ||||
\(451\) | −31.0238 | −0.0687889 | ||||||||
\(452\) | − | 563.634i | − | 1.24698i | ||||||
\(453\) | 362.179 | − | 89.9185i | 0.799513 | − | 0.198496i | ||||
\(454\) | −405.119 | −0.892332 | ||||||||
\(455\) | − | 69.1146i | − | 0.151900i | ||||||
\(456\) | 351.773 | + | 1416.89i | 0.771433 | + | 3.10722i | ||||
\(457\) | −333.251 | −0.729214 | −0.364607 | − | 0.931161i | \(-0.618797\pi\) | ||||
−0.364607 | + | 0.931161i | \(0.618797\pi\) | |||||||
\(458\) | − | 1489.19i | − | 3.25152i | ||||||
\(459\) | 15.8582 | + | 17.7184i | 0.0345494 | + | 0.0386022i | ||||
\(460\) | −1367.87 | −2.97364 | ||||||||
\(461\) | − | 459.339i | − | 0.996398i | −0.867063 | − | 0.498199i | \(-0.833995\pi\) | ||
0.867063 | − | 0.498199i | \(-0.166005\pi\) | |||||||
\(462\) | −223.484 | + | 55.4845i | −0.483731 | + | 0.120096i | ||||
\(463\) | 493.142 | 1.06510 | 0.532551 | − | 0.846398i | \(-0.321233\pi\) | ||||
0.532551 | + | 0.846398i | \(0.321233\pi\) | |||||||
\(464\) | 873.270i | 1.88205i | ||||||||
\(465\) | 327.362 | + | 1318.57i | 0.704004 | + | 2.83563i | ||||
\(466\) | −560.487 | −1.20276 | ||||||||
\(467\) | − | 531.264i | − | 1.13761i | −0.822473 | − | 0.568805i | \(-0.807406\pi\) | ||
0.822473 | − | 0.568805i | \(-0.192594\pi\) | |||||||
\(468\) | −154.555 | + | 81.7843i | −0.330247 | + | 0.174753i | ||||
\(469\) | 360.820 | 0.769338 | ||||||||
\(470\) | 2168.46i | 4.61374i | ||||||||
\(471\) | 649.898 | − | 161.351i | 1.37983 | − | 0.342571i | ||||
\(472\) | 113.664 | 0.240814 | ||||||||
\(473\) | 87.6794i | 0.185369i | ||||||||
\(474\) | −377.012 | − | 1518.55i | −0.795385 | − | 3.20370i | ||||
\(475\) | −1396.04 | −2.93903 | ||||||||
\(476\) | − | 25.8449i | − | 0.0542961i | ||||||
\(477\) | 304.010 | + | 574.517i | 0.637338 | + | 1.20444i | ||||
\(478\) | 754.482 | 1.57841 | ||||||||
\(479\) | 601.359i | 1.25545i | 0.778437 | + | 0.627723i | \(0.216013\pi\) | ||||
−0.778437 | + | 0.627723i | \(0.783987\pi\) | |||||||
\(480\) | 159.146 | − | 39.5112i | 0.331554 | − | 0.0823151i | ||||
\(481\) | −24.6744 | −0.0512982 | ||||||||
\(482\) | 1078.81i | 2.23819i | ||||||||
\(483\) | −52.1478 | − | 210.044i | −0.107967 | − | 0.434874i | ||||
\(484\) | −684.056 | −1.41334 | ||||||||
\(485\) | 766.092i | 1.57957i | ||||||||
\(486\) | −797.138 | − | 294.636i | −1.64020 | − | 0.606248i | ||||
\(487\) | −555.132 | −1.13990 | −0.569951 | − | 0.821679i | \(-0.693038\pi\) | ||||
−0.569951 | + | 0.821679i | \(0.693038\pi\) | |||||||
\(488\) | 122.030i | 0.250061i | ||||||||
\(489\) | −179.809 | + | 44.6414i | −0.367709 | + | 0.0912913i | ||||
\(490\) | 1042.33 | 2.12720 | ||||||||
\(491\) | 10.0690i | 0.0205071i | 0.999947 | + | 0.0102535i | \(0.00326386\pi\) | ||||
−0.999947 | + | 0.0102535i | \(0.996736\pi\) | |||||||
\(492\) | 29.9866 | + | 120.782i | 0.0609484 | + | 0.245492i | ||||
\(493\) | 40.8483 | 0.0828565 | ||||||||
\(494\) | 271.473i | 0.549541i | ||||||||
\(495\) | −402.180 | + | 212.817i | −0.812484 | + | 0.429932i | ||||
\(496\) | −1038.18 | −2.09311 | ||||||||
\(497\) | − | 348.142i | − | 0.700487i | ||||||
\(498\) | −866.564 | + | 215.143i | −1.74009 | + | 0.432013i | ||||
\(499\) | 409.942 | 0.821526 | 0.410763 | − | 0.911742i | \(-0.365262\pi\) | ||||
0.410763 | + | 0.911742i | \(0.365262\pi\) | |||||||
\(500\) | 1179.73i | 2.35946i | ||||||||
\(501\) | −43.9737 | − | 177.120i | −0.0877718 | − | 0.353532i | ||||
\(502\) | −478.419 | −0.953025 | ||||||||
\(503\) | 50.1524i | 0.0997065i | 0.998757 | + | 0.0498532i | \(0.0158754\pi\) | ||||
−0.998757 | + | 0.0498532i | \(0.984125\pi\) | |||||||
\(504\) | 222.079 | + | 419.684i | 0.440634 | + | 0.832707i | ||||
\(505\) | −331.393 | −0.656224 | ||||||||
\(506\) | 435.624i | 0.860916i | ||||||||
\(507\) | 475.840 | − | 118.137i | 0.938540 | − | 0.233012i | ||||
\(508\) | −631.532 | −1.24317 | ||||||||
\(509\) | − | 615.820i | − | 1.20986i | −0.796278 | − | 0.604931i | \(-0.793201\pi\) | ||
0.796278 | − | 0.604931i | \(-0.206799\pi\) | |||||||
\(510\) | −18.2857 | − | 73.6521i | −0.0358543 | − | 0.144416i | ||||
\(511\) | −102.432 | −0.200455 | ||||||||
\(512\) | − | 989.132i | − | 1.93190i | ||||||
\(513\) | −661.621 | + | 592.158i | −1.28971 | + | 1.15430i | ||||
\(514\) | 49.0272 | 0.0953836 | ||||||||
\(515\) | − | 977.928i | − | 1.89889i | ||||||
\(516\) | 341.353 | − | 84.7480i | 0.661537 | − | 0.164240i | ||||
\(517\) | 464.741 | 0.898919 | ||||||||
\(518\) | 130.342i | 0.251626i | ||||||||
\(519\) | 80.2206 | + | 323.117i | 0.154568 | + | 0.622576i | ||||
\(520\) | 286.865 | 0.551663 | ||||||||
\(521\) | − | 428.898i | − | 0.823220i | −0.911360 | − | 0.411610i | \(-0.864967\pi\) | ||
0.911360 | − | 0.411610i | \(-0.135033\pi\) | |||||||
\(522\) | −1290.39 | + | 682.820i | −2.47201 | + | 1.30808i | ||||
\(523\) | −636.438 | −1.21690 | −0.608450 | − | 0.793592i | \(-0.708208\pi\) | ||||
−0.608450 | + | 0.793592i | \(0.708208\pi\) | |||||||
\(524\) | − | 1798.58i | − | 3.43240i | ||||||
\(525\) | −440.669 | + | 109.405i | −0.839369 | + | 0.208391i | ||||
\(526\) | −551.735 | −1.04893 | ||||||||
\(527\) | 48.5622i | 0.0921483i | ||||||||
\(528\) | −83.7810 | − | 337.458i | −0.158676 | − | 0.639126i | ||||
\(529\) | 119.573 | 0.226036 | ||||||||
\(530\) | − | 2074.41i | − | 3.91399i | ||||||
\(531\) | 32.3331 | + | 61.1029i | 0.0608910 | + | 0.115071i | ||||
\(532\) | 965.072 | 1.81405 | ||||||||
\(533\) | 11.8957i | 0.0223185i | ||||||||
\(534\) | 1004.06 | − | 249.278i | 1.88026 | − | 0.466814i | ||||
\(535\) | 813.473 | 1.52051 | ||||||||
\(536\) | 1497.61i | 2.79404i | ||||||||
\(537\) | 39.4687 | + | 158.974i | 0.0734984 | + | 0.296041i | ||||
\(538\) | 17.1690 | 0.0319126 | ||||||||
\(539\) | − | 223.390i | − | 0.414453i | ||||||
\(540\) | 1217.27 | + | 1360.06i | 2.25421 | + | 2.51864i | ||||
\(541\) | −724.827 | −1.33979 | −0.669896 | − | 0.742455i | \(-0.733661\pi\) | ||||
−0.669896 | + | 0.742455i | \(0.733661\pi\) | |||||||
\(542\) | − | 593.363i | − | 1.09477i | ||||||
\(543\) | 363.635 | − | 90.2799i | 0.669677 | − | 0.166261i | ||||
\(544\) | 5.86125 | 0.0107744 | ||||||||
\(545\) | 166.442i | 0.305397i | ||||||||
\(546\) | 21.2749 | + | 85.6924i | 0.0389651 | + | 0.156946i | ||||
\(547\) | 869.429 | 1.58945 | 0.794725 | − | 0.606970i | \(-0.207615\pi\) | ||||
0.794725 | + | 0.606970i | \(0.207615\pi\) | |||||||
\(548\) | − | 464.828i | − | 0.848226i | ||||||
\(549\) | −65.6003 | + | 34.7129i | −0.119490 | + | 0.0632294i | ||||
\(550\) | 913.931 | 1.66169 | ||||||||
\(551\) | 1525.31i | 2.76826i | ||||||||
\(552\) | 871.802 | − | 216.443i | 1.57935 | − | 0.392107i | ||||
\(553\) | −531.682 | −0.961451 | ||||||||
\(554\) | 865.008i | 1.56139i | ||||||||
\(555\) | 62.0605 | + | 249.971i | 0.111821 | + | 0.450398i | ||||
\(556\) | −510.414 | −0.918010 | ||||||||
\(557\) | − | 382.734i | − | 0.687135i | −0.939128 | − | 0.343568i | \(-0.888365\pi\) | ||
0.939128 | − | 0.343568i | \(-0.111635\pi\) | |||||||
\(558\) | −811.766 | − | 1534.07i | −1.45478 | − | 2.74923i | ||||
\(559\) | 33.6197 | 0.0601426 | ||||||||
\(560\) | − | 551.293i | − | 0.984452i | ||||||
\(561\) | −15.7850 | + | 3.91896i | −0.0281373 | + | 0.00698567i | ||||
\(562\) | 127.913 | 0.227604 | ||||||||
\(563\) | − | 870.684i | − | 1.54651i | −0.634096 | − | 0.773254i | \(-0.718628\pi\) | ||
0.634096 | − | 0.773254i | \(-0.281372\pi\) | |||||||
\(564\) | −449.204 | − | 1809.33i | −0.796461 | − | 3.20803i | ||||
\(565\) | −562.379 | −0.995361 | ||||||||
\(566\) | − | 1045.43i | − | 1.84705i | ||||||
\(567\) | −162.439 | + | 238.769i | −0.286488 | + | 0.421109i | ||||
\(568\) | 1444.99 | 2.54399 | ||||||||
\(569\) | − | 678.235i | − | 1.19198i | −0.802993 | − | 0.595989i | \(-0.796760\pi\) | ||
0.802993 | − | 0.595989i | \(-0.203240\pi\) | |||||||
\(570\) | 2750.23 | − | 682.803i | 4.82497 | − | 1.19790i | ||||
\(571\) | −615.610 | −1.07813 | −0.539063 | − | 0.842266i | \(-0.681221\pi\) | ||||
−0.539063 | + | 0.842266i | \(0.681221\pi\) | |||||||
\(572\) | − | 119.602i | − | 0.209094i | ||||||
\(573\) | −69.8587 | − | 281.381i | −0.121917 | − | 0.491066i | ||||
\(574\) | 62.8391 | 0.109476 | ||||||||
\(575\) | 858.970i | 1.49386i | ||||||||
\(576\) | 413.937 | − | 219.038i | 0.718641 | − | 0.380274i | ||||
\(577\) | 755.566 | 1.30947 | 0.654737 | − | 0.755857i | \(-0.272780\pi\) | ||||
0.654737 | + | 0.755857i | \(0.272780\pi\) | |||||||
\(578\) | 1008.01i | 1.74396i | ||||||||
\(579\) | 20.1109 | − | 4.99294i | 0.0347338 | − | 0.00862339i | ||||
\(580\) | 3135.51 | 5.40605 | ||||||||
\(581\) | 303.405i | 0.522212i | ||||||||
\(582\) | −235.819 | − | 949.846i | −0.405187 | − | 1.63204i | ||||
\(583\) | −444.586 | −0.762583 | ||||||||
\(584\) | − | 425.152i | − | 0.728001i | ||||||
\(585\) | 81.6022 | + | 154.211i | 0.139491 | + | 0.263609i | ||||
\(586\) | −588.101 | −1.00359 | ||||||||
\(587\) | − | 464.614i | − | 0.791505i | −0.918357 | − | 0.395753i | \(-0.870484\pi\) | ||
0.918357 | − | 0.395753i | \(-0.129516\pi\) | |||||||
\(588\) | −869.703 | + | 215.922i | −1.47909 | + | 0.367214i | ||||
\(589\) | −1813.35 | −3.07870 | ||||||||
\(590\) | − | 220.625i | − | 0.373941i | ||||||
\(591\) | 17.9207 | + | 72.1822i | 0.0303227 | + | 0.122136i | ||||
\(592\) | −196.816 | −0.332459 | ||||||||
\(593\) | 401.514i | 0.677090i | 0.940950 | + | 0.338545i | \(0.109935\pi\) | ||||
−0.940950 | + | 0.338545i | \(0.890065\pi\) | |||||||
\(594\) | 433.137 | − | 387.662i | 0.729187 | − | 0.652630i | ||||
\(595\) | −25.7874 | −0.0433402 | ||||||||
\(596\) | − | 221.331i | − | 0.371360i | ||||||
\(597\) | 58.6698 | − | 14.5660i | 0.0982744 | − | 0.0243987i | ||||
\(598\) | 167.035 | 0.279323 | ||||||||
\(599\) | − | 488.252i | − | 0.815111i | −0.913180 | − | 0.407556i | \(-0.866381\pi\) | ||
0.913180 | − | 0.407556i | \(-0.133619\pi\) | |||||||
\(600\) | −454.094 | − | 1829.03i | −0.756823 | − | 3.04838i | ||||
\(601\) | 353.891 | 0.588836 | 0.294418 | − | 0.955677i | \(-0.404874\pi\) | ||||
0.294418 | + | 0.955677i | \(0.404874\pi\) | |||||||
\(602\) | − | 177.596i | − | 0.295009i | ||||||
\(603\) | −805.076 | + | 426.012i | −1.33512 | + | 0.706488i | ||||
\(604\) | 1023.89 | 1.69518 | ||||||||
\(605\) | 682.533i | 1.12815i | ||||||||
\(606\) | 410.881 | − | 102.010i | 0.678022 | − | 0.168333i | ||||
\(607\) | 571.185 | 0.940996 | 0.470498 | − | 0.882401i | \(-0.344074\pi\) | ||||
0.470498 | + | 0.882401i | \(0.344074\pi\) | |||||||
\(608\) | 218.864i | 0.359974i | ||||||||
\(609\) | 119.536 | + | 481.474i | 0.196282 | + | 0.790598i | ||||
\(610\) | 236.864 | 0.388301 | ||||||||
\(611\) | − | 178.200i | − | 0.291653i | ||||||
\(612\) | 30.5146 | + | 57.6663i | 0.0498604 | + | 0.0942260i | ||||
\(613\) | 48.0285 | 0.0783499 | 0.0391750 | − | 0.999232i | \(-0.487527\pi\) | ||||
0.0391750 | + | 0.999232i | \(0.487527\pi\) | |||||||
\(614\) | 556.534i | 0.906407i | ||||||||
\(615\) | 120.513 | − | 29.9199i | 0.195956 | − | 0.0486502i | ||||
\(616\) | −324.770 | −0.527224 | ||||||||
\(617\) | 529.530i | 0.858233i | 0.903249 | + | 0.429116i | \(0.141175\pi\) | ||||
−0.903249 | + | 0.429116i | \(0.858825\pi\) | |||||||
\(618\) | 301.027 | + | 1212.49i | 0.487098 | + | 1.96196i | ||||
\(619\) | −35.3405 | −0.0570929 | −0.0285465 | − | 0.999592i | \(-0.509088\pi\) | ||||
−0.0285465 | + | 0.999592i | \(0.509088\pi\) | |||||||
\(620\) | 3727.62i | 6.01230i | ||||||||
\(621\) | 364.349 | + | 407.089i | 0.586714 | + | 0.655538i | ||||
\(622\) | 1300.37 | 2.09063 | ||||||||
\(623\) | − | 351.545i | − | 0.564278i | ||||||
\(624\) | −129.395 | + | 32.1249i | −0.207363 | + | 0.0514823i | ||||
\(625\) | 115.824 | 0.185318 | ||||||||
\(626\) | − | 3.80852i | − | 0.00608390i | ||||||
\(627\) | −146.337 | − | 589.426i | −0.233393 | − | 0.940074i | ||||
\(628\) | 1837.28 | 2.92560 | ||||||||
\(629\) | 9.20630i | 0.0146364i | ||||||||
\(630\) | 814.620 | − | 431.063i | 1.29305 | − | 0.684226i | ||||
\(631\) | −33.5343 | −0.0531447 | −0.0265724 | − | 0.999647i | \(-0.508459\pi\) | ||||
−0.0265724 | + | 0.999647i | \(0.508459\pi\) | |||||||
\(632\) | − | 2206.78i | − | 3.49174i | ||||||
\(633\) | −946.805 | + | 235.064i | −1.49574 | + | 0.371349i | ||||
\(634\) | −1166.63 | −1.84011 | ||||||||
\(635\) | 630.127i | 0.992325i | ||||||||
\(636\) | 429.722 | + | 1730.86i | 0.675664 | + | 2.72148i | ||||
\(637\) | −85.6566 | −0.134469 | ||||||||
\(638\) | − | 998.559i | − | 1.56514i | ||||||
\(639\) | 411.044 | + | 776.789i | 0.643261 | + | 1.21563i | ||||
\(640\) | −1713.24 | −2.67694 | ||||||||
\(641\) | − | 177.729i | − | 0.277268i | −0.990344 | − | 0.138634i | \(-0.955729\pi\) | ||
0.990344 | − | 0.138634i | \(-0.0442712\pi\) | |||||||
\(642\) | −1008.59 | + | 250.404i | −1.57102 | + | 0.390037i | ||||
\(643\) | −182.397 | −0.283666 | −0.141833 | − | 0.989891i | \(-0.545300\pi\) | ||||
−0.141833 | + | 0.989891i | \(0.545300\pi\) | |||||||
\(644\) | − | 593.800i | − | 0.922050i | ||||||
\(645\) | −84.5594 | − | 340.593i | −0.131100 | − | 0.528052i | ||||
\(646\) | 101.290 | 0.156795 | ||||||||
\(647\) | − | 713.043i | − | 1.10208i | −0.834480 | − | 0.551038i | \(-0.814232\pi\) | ||
0.834480 | − | 0.551038i | \(-0.185768\pi\) | |||||||
\(648\) | −991.025 | − | 674.212i | −1.52936 | − | 1.04045i | ||||
\(649\) | −47.2841 | −0.0728568 | ||||||||
\(650\) | − | 350.437i | − | 0.539134i | ||||||
\(651\) | −572.397 | + | 142.109i | −0.879258 | + | 0.218294i | ||||
\(652\) | −508.326 | −0.779641 | ||||||||
\(653\) | 173.772i | 0.266114i | 0.991108 | + | 0.133057i | \(0.0424793\pi\) | ||||
−0.991108 | + | 0.133057i | \(0.957521\pi\) | |||||||
\(654\) | −51.2342 | − | 206.364i | −0.0783397 | − | 0.315541i | ||||
\(655\) | −1794.57 | −2.73981 | ||||||||
\(656\) | 94.8864i | 0.144644i | ||||||||
\(657\) | 228.551 | − | 120.940i | 0.347871 | − | 0.184079i | ||||
\(658\) | −941.339 | −1.43061 | ||||||||
\(659\) | 741.153i | 1.12466i | 0.826912 | + | 0.562332i | \(0.190096\pi\) | ||||
−0.826912 | + | 0.562332i | \(0.809904\pi\) | |||||||
\(660\) | −1211.66 | + | 300.819i | −1.83584 | + | 0.455786i | ||||
\(661\) | 583.315 | 0.882474 | 0.441237 | − | 0.897391i | \(-0.354540\pi\) | ||||
0.441237 | + | 0.897391i | \(0.354540\pi\) | |||||||
\(662\) | 1167.78i | 1.76402i | ||||||||
\(663\) | 1.50268 | + | 6.05260i | 0.00226649 | + | 0.00912911i | ||||
\(664\) | −1259.30 | −1.89654 | ||||||||
\(665\) | − | 962.924i | − | 1.44801i | ||||||
\(666\) | −153.893 | − | 290.825i | −0.231070 | − | 0.436675i | ||||
\(667\) | 938.509 | 1.40706 | ||||||||
\(668\) | − | 500.722i | − | 0.749584i | ||||||
\(669\) | 425.224 | − | 105.571i | 0.635612 | − | 0.157804i | ||||
\(670\) | 2906.90 | 4.33865 | ||||||||
\(671\) | − | 50.7643i | − | 0.0756547i | ||||||
\(672\) | 17.1520 | + | 69.0860i | 0.0255239 | + | 0.102807i | ||||
\(673\) | −879.243 | −1.30645 | −0.653226 | − | 0.757163i | \(-0.726585\pi\) | ||||
−0.653226 | + | 0.757163i | \(0.726585\pi\) | |||||||
\(674\) | 1288.88i | 1.91229i | ||||||||
\(675\) | 854.066 | − | 764.398i | 1.26528 | − | 1.13244i | ||||
\(676\) | 1345.21 | 1.98996 | ||||||||
\(677\) | − | 916.427i | − | 1.35366i | −0.736140 | − | 0.676830i | \(-0.763353\pi\) | ||
0.736140 | − | 0.676830i | \(-0.236647\pi\) | |||||||
\(678\) | 697.271 | − | 173.112i | 1.02842 | − | 0.255328i | ||||
\(679\) | −332.564 | −0.489785 | ||||||||
\(680\) | − | 107.032i | − | 0.157401i | ||||||
\(681\) | −83.7349 | − | 337.272i | −0.122959 | − | 0.495261i | ||||
\(682\) | 1187.13 | 1.74066 | ||||||||
\(683\) | − | 744.048i | − | 1.08938i | −0.838637 | − | 0.544691i | \(-0.816647\pi\) | ||
0.838637 | − | 0.544691i | \(-0.183353\pi\) | |||||||
\(684\) | −2153.31 | + | 1139.44i | −3.14811 | + | 1.66585i | ||||
\(685\) | −463.793 | −0.677070 | ||||||||
\(686\) | 1063.45i | 1.55022i | ||||||||
\(687\) | 1239.80 | − | 307.805i | 1.80465 | − | 0.448042i | ||||
\(688\) | 268.168 | 0.389779 | ||||||||
\(689\) | 170.472i | 0.247419i | ||||||||
\(690\) | −420.122 | − | 1692.19i | −0.608873 | − | 2.45246i | ||||
\(691\) | 252.740 | 0.365760 | 0.182880 | − | 0.983135i | \(-0.441458\pi\) | ||||
0.182880 | + | 0.983135i | \(0.441458\pi\) | |||||||
\(692\) | 913.460i | 1.32003i | ||||||||
\(693\) | −92.3847 | − | 174.588i | −0.133311 | − | 0.251931i | ||||
\(694\) | −1590.94 | −2.29242 | ||||||||
\(695\) | 509.277i | 0.732773i | ||||||||
\(696\) | −1998.39 | + | 496.142i | −2.87125 | + | 0.712848i | ||||
\(697\) | 4.43843 | 0.00636790 | ||||||||
\(698\) | 1692.41i | 2.42466i | ||||||||
\(699\) | −115.848 | − | 466.620i | −0.165734 | − | 0.667554i | ||||
\(700\) | −1245.78 | −1.77969 | ||||||||
\(701\) | 590.422i | 0.842256i | 0.907001 | + | 0.421128i | \(0.138366\pi\) | ||||
−0.907001 | + | 0.421128i | \(0.861634\pi\) | |||||||
\(702\) | −148.645 | − | 166.082i | −0.211745 | − | 0.236583i | ||||
\(703\) | −343.771 | −0.489006 | ||||||||
\(704\) | 320.322i | 0.455003i | ||||||||
\(705\) | −1805.30 | + | 448.204i | −2.56071 | + | 0.635750i | ||||
\(706\) | −1029.25 | −1.45786 | ||||||||
\(707\) | − | 143.860i | − | 0.203479i | ||||||
\(708\) | 45.7033 | + | 184.086i | 0.0645526 | + | 0.260009i | ||||
\(709\) | 648.001 | 0.913964 | 0.456982 | − | 0.889476i | \(-0.348930\pi\) | ||||
0.456982 | + | 0.889476i | \(0.348930\pi\) | |||||||
\(710\) | − | 2804.76i | − | 3.95037i | ||||||
\(711\) | 1186.31 | − | 627.746i | 1.66851 | − | 0.882906i | ||||
\(712\) | 1459.11 | 2.04932 | ||||||||
\(713\) | 1115.74i | 1.56485i | ||||||||
\(714\) | 31.9728 | − | 7.93791i | 0.0447798 | − | 0.0111175i | ||||
\(715\) | −119.335 | −0.166903 | ||||||||
\(716\) | 449.424i | 0.627687i | ||||||||
\(717\) | 155.946 | + | 628.127i | 0.217497 | + | 0.876049i | ||||
\(718\) | 533.706 | 0.743323 | ||||||||
\(719\) | 532.079i | 0.740027i | 0.929026 | + | 0.370014i | \(0.120647\pi\) | ||||
−0.929026 | + | 0.370014i | \(0.879353\pi\) | |||||||
\(720\) | 650.900 | + | 1230.07i | 0.904028 | + | 1.70843i | ||||
\(721\) | 424.524 | 0.588798 | ||||||||
\(722\) | 2519.71i | 3.48991i | ||||||||
\(723\) | −898.138 | + | 222.981i | −1.24224 | + | 0.308411i | ||||
\(724\) | 1028.00 | 1.41990 | ||||||||
\(725\) | − | 1968.98i | − | 2.71583i | ||||||
\(726\) | −210.098 | − | 846.245i | −0.289391 | − | 1.16563i | ||||
\(727\) | −1288.32 | −1.77210 | −0.886049 | − | 0.463592i | \(-0.846560\pi\) | ||||
−0.886049 | + | 0.463592i | \(0.846560\pi\) | |||||||
\(728\) | 124.529i | 0.171057i | ||||||||
\(729\) | 80.5307 | − | 724.538i | 0.110467 | − | 0.993880i | ||||
\(730\) | −825.234 | −1.13046 | ||||||||
\(731\) | − | 12.5439i | − | 0.0171599i | ||||||
\(732\) | −197.636 | + | 49.0671i | −0.269994 | + | 0.0670316i | ||||
\(733\) | 394.335 | 0.537974 | 0.268987 | − | 0.963144i | \(-0.413311\pi\) | ||||
0.268987 | + | 0.963144i | \(0.413311\pi\) | |||||||
\(734\) | − | 884.188i | − | 1.20462i | ||||||
\(735\) | 215.441 | + | 867.766i | 0.293117 | + | 1.18063i | ||||
\(736\) | 134.665 | 0.182969 | ||||||||
\(737\) | − | 623.002i | − | 0.845322i | ||||||
\(738\) | −140.209 | + | 74.1928i | −0.189985 | + | 0.100532i | ||||
\(739\) | −199.786 | −0.270347 | −0.135173 | − | 0.990822i | \(-0.543159\pi\) | ||||
−0.135173 | + | 0.990822i | \(0.543159\pi\) | |||||||
\(740\) | 706.675i | 0.954966i | ||||||||
\(741\) | −226.009 | + | 56.1115i | −0.305006 | + | 0.0757240i | ||||
\(742\) | 900.514 | 1.21363 | ||||||||
\(743\) | − | 112.421i | − | 0.151306i | −0.997134 | − | 0.0756531i | \(-0.975896\pi\) | ||
0.997134 | − | 0.0756531i | \(-0.0241042\pi\) | |||||||
\(744\) | −589.835 | − | 2375.77i | −0.792789 | − | 3.19324i | ||||
\(745\) | −220.838 | −0.296427 | ||||||||
\(746\) | 2205.27i | 2.95612i | ||||||||
\(747\) | −358.224 | − | 676.970i | −0.479551 | − | 0.906252i | ||||
\(748\) | −44.6247 | −0.0596587 | ||||||||
\(749\) | 353.133i | 0.471472i | ||||||||
\(750\) | −1459.44 | + | 362.337i | −1.94592 | + | 0.483116i | ||||
\(751\) | 785.625 | 1.04611 | 0.523053 | − | 0.852300i | \(-0.324793\pi\) | ||||
0.523053 | + | 0.852300i | \(0.324793\pi\) | |||||||
\(752\) | − | 1421.41i | − | 1.89018i | ||||||
\(753\) | −98.8854 | − | 398.297i | −0.131322 | − | 0.528947i | ||||
\(754\) | −382.887 | −0.507807 | ||||||||
\(755\) | − | 1021.61i | − | 1.35313i | ||||||
\(756\) | −590.410 | + | 528.423i | −0.780966 | + | 0.698973i | ||||
\(757\) | 1361.82 | 1.79897 | 0.899486 | − | 0.436950i | \(-0.143941\pi\) | ||||
0.899486 | + | 0.436950i | \(0.143941\pi\) | |||||||
\(758\) | 50.9531i | 0.0672205i | ||||||||
\(759\) | −362.669 | + | 90.0401i | −0.477824 | + | 0.118630i | ||||
\(760\) | 3996.68 | 5.25879 | ||||||||
\(761\) | 1092.13i | 1.43512i | 0.696494 | + | 0.717562i | \(0.254742\pi\) | ||||
−0.696494 | + | 0.717562i | \(0.745258\pi\) | |||||||
\(762\) | −193.966 | − | 781.269i | −0.254549 | − | 1.02529i | ||||
\(763\) | −72.2531 | −0.0946961 | ||||||||
\(764\) | − | 795.471i | − | 1.04119i | ||||||
\(765\) | 57.5379 | − | 30.4467i | 0.0752130 | − | 0.0397996i | ||||
\(766\) | −2080.76 | −2.71640 | ||||||||
\(767\) | 18.1306i | 0.0236383i | ||||||||
\(768\) | 1518.16 | − | 376.914i | 1.97677 | − | 0.490773i | ||||
\(769\) | 428.468 | 0.557176 | 0.278588 | − | 0.960411i | \(-0.410134\pi\) | ||||
0.278588 | + | 0.960411i | \(0.410134\pi\) | |||||||
\(770\) | 630.388i | 0.818686i | ||||||||
\(771\) | 10.1335 | + | 40.8165i | 0.0131434 | + | 0.0529396i | ||||
\(772\) | 56.8540 | 0.0736450 | ||||||||
\(773\) | 493.717i | 0.638702i | 0.947637 | + | 0.319351i | \(0.103465\pi\) | ||||
−0.947637 | + | 0.319351i | \(0.896535\pi\) | |||||||
\(774\) | 209.683 | + | 396.259i | 0.270909 | + | 0.511962i | ||||
\(775\) | 2340.80 | 3.02039 | ||||||||
\(776\) | − | 1380.33i | − | 1.77878i | ||||||
\(777\) | −108.514 | + | 26.9408i | −0.139657 | + | 0.0346728i | ||||
\(778\) | −1419.36 | −1.82436 | ||||||||
\(779\) | 165.735i | 0.212753i | ||||||||
\(780\) | 115.346 | + | 464.596i | 0.147879 | + | 0.595637i | ||||
\(781\) | −601.113 | −0.769670 | ||||||||
\(782\) | − | 62.3226i | − | 0.0796965i | ||||||
\(783\) | −835.180 | − | 933.151i | −1.06664 | − | 1.19176i | ||||
\(784\) | −683.240 | −0.871480 | ||||||||
\(785\) | − | 1833.19i | − | 2.33527i | ||||||
\(786\) | 2225.02 | − | 552.408i | 2.83082 | − | 0.702809i | ||||
\(787\) | 63.6260 | 0.0808462 | 0.0404231 | − | 0.999183i | \(-0.487129\pi\) | ||||
0.0404231 | + | 0.999183i | \(0.487129\pi\) | |||||||
\(788\) | 204.061i | 0.258961i | ||||||||
\(789\) | −114.039 | − | 459.335i | −0.144537 | − | 0.582174i | ||||
\(790\) | −4283.43 | −5.42206 | ||||||||
\(791\) | − | 244.132i | − | 0.308637i | ||||||
\(792\) | 724.640 | − | 383.449i | 0.914949 | − | 0.484153i | ||||
\(793\) | −19.4650 | −0.0245461 | ||||||||
\(794\) | 711.978i | 0.896698i | ||||||||
\(795\) | 1727.01 | − | 428.766i | 2.17234 | − | 0.539328i | ||||
\(796\) | 165.861 | 0.208368 | ||||||||
\(797\) | − | 1086.41i | − | 1.36312i | −0.731760 | − | 0.681562i | \(-0.761301\pi\) | ||
0.731760 | − | 0.681562i | \(-0.238699\pi\) | |||||||
\(798\) | 296.408 | + | 1193.89i | 0.371439 | + | 1.49610i | ||||
\(799\) | −66.4883 | −0.0832144 | ||||||||
\(800\) | − | 282.525i | − | 0.353156i | ||||||
\(801\) | 415.062 | + | 784.382i | 0.518180 | + | 0.979254i | ||||
\(802\) | 930.603 | 1.16035 | ||||||||
\(803\) | 176.863i | 0.220253i | ||||||||
\(804\) | −2425.47 | + | 602.174i | −3.01676 | + | 0.748972i | ||||
\(805\) | −592.478 | −0.735998 | ||||||||
\(806\) | − | 455.192i | − | 0.564754i | ||||||
\(807\) | 3.54869 | + | 14.2936i | 0.00439739 | + | 0.0177121i | ||||
\(808\) | 597.098 | 0.738983 | ||||||||
\(809\) | − | 502.182i | − | 0.620744i | −0.950615 | − | 0.310372i | \(-0.899546\pi\) | ||
0.950615 | − | 0.310372i | \(-0.100454\pi\) | |||||||
\(810\) | −1308.67 | + | 1923.61i | −1.61564 | + | 2.37483i | ||||
\(811\) | 881.344 | 1.08674 | 0.543368 | − | 0.839494i | \(-0.317149\pi\) | ||||
0.543368 | + | 0.839494i | \(0.317149\pi\) | |||||||
\(812\) | 1361.14i | 1.67628i | ||||||||
\(813\) | 493.991 | − | 122.644i | 0.607615 | − | 0.150853i | ||||
\(814\) | 225.053 | 0.276478 | ||||||||
\(815\) | 507.194i | 0.622324i | ||||||||
\(816\) | 11.9862 | + | 48.2786i | 0.0146889 | + | 0.0591649i | ||||
\(817\) | 468.399 | 0.573316 | ||||||||
\(818\) | − | 178.177i | − | 0.217821i | ||||||
\(819\) | −66.9439 | + | 35.4239i | −0.0817386 | + | 0.0432527i | ||||
\(820\) | 340.693 | 0.415480 | ||||||||
\(821\) | 970.456i | 1.18204i | 0.806656 | + | 0.591021i | \(0.201275\pi\) | ||||
−0.806656 | + | 0.591021i | \(0.798725\pi\) | |||||||
\(822\) | 575.039 | − | 142.765i | 0.699560 | − | 0.173680i | ||||
\(823\) | 1.00239 | 0.00121797 | 0.000608987 | − | 1.00000i | \(-0.499806\pi\) | ||||
0.000608987 | 1.00000i | \(0.499806\pi\) | ||||||||
\(824\) | 1762.01i | 2.13837i | ||||||||
\(825\) | 188.902 | + | 760.872i | 0.228973 | + | 0.922270i | ||||
\(826\) | 95.7745 | 0.115950 | ||||||||
\(827\) | 1574.67i | 1.90407i | 0.305990 | + | 0.952035i | \(0.401012\pi\) | ||||
−0.305990 | + | 0.952035i | \(0.598988\pi\) | |||||||
\(828\) | 701.088 | + | 1324.91i | 0.846724 | + | 1.60013i | ||||
\(829\) | −326.309 | −0.393618 | −0.196809 | − | 0.980442i | \(-0.563058\pi\) | ||||
−0.196809 | + | 0.980442i | \(0.563058\pi\) | |||||||
\(830\) | 2444.35i | 2.94499i | ||||||||
\(831\) | −720.143 | + | 178.791i | −0.866598 | + | 0.215151i | ||||
\(832\) | 122.824 | 0.147625 | ||||||||
\(833\) | 31.9594i | 0.0383666i | ||||||||
\(834\) | −156.766 | − | 631.433i | −0.187969 | − | 0.757113i | ||||
\(835\) | −499.607 | −0.598332 | ||||||||
\(836\) | − | 1666.32i | − | 1.99321i | ||||||
\(837\) | 1109.37 | − | 992.898i | 1.32541 | − | 1.18626i | ||||
\(838\) | −557.668 | −0.665475 | ||||||||
\(839\) | 902.851i | 1.07610i | 0.842912 | + | 0.538052i | \(0.180840\pi\) | ||||
−0.842912 | + | 0.538052i | \(0.819160\pi\) | |||||||
\(840\) | 1261.58 | − | 313.213i | 1.50188 | − | 0.372873i | ||||
\(841\) | −1310.30 | −1.55803 | ||||||||
\(842\) | 1444.45i | 1.71550i | ||||||||
\(843\) | 26.4387 | + | 106.491i | 0.0313627 | + | 0.126324i | ||||
\(844\) | −2676.64 | −3.17138 | ||||||||
\(845\) | − | 1342.22i | − | 1.58842i | ||||||
\(846\) | 2100.35 | − | 1111.42i | 2.48269 | − | 1.31373i | ||||
\(847\) | −296.291 | −0.349812 | ||||||||
\(848\) | 1359.77i | 1.60350i | ||||||||
\(849\) | 870.351 | − | 216.083i | 1.02515 | − | 0.254515i | ||||
\(850\) | −130.752 | −0.153826 | ||||||||
\(851\) | 211.519i | 0.248554i | ||||||||
\(852\) | 581.016 | + | 2340.25i | 0.681944 | + | 2.74677i | ||||
\(853\) | −1095.19 | −1.28393 | −0.641966 | − | 0.766733i | \(-0.721881\pi\) | ||||
−0.641966 | + | 0.766733i | \(0.721881\pi\) | |||||||
\(854\) | 102.824i | 0.120403i | ||||||||
\(855\) | 1136.90 | + | 2148.52i | 1.32971 | + | 2.51288i | ||||
\(856\) | −1465.70 | −1.71227 | ||||||||
\(857\) | − | 1020.63i | − | 1.19093i | −0.803381 | − | 0.595465i | \(-0.796968\pi\) | ||
0.803381 | − | 0.595465i | \(-0.203032\pi\) | |||||||
\(858\) | 147.959 | − | 36.7339i | 0.172447 | − | 0.0428135i | ||||
\(859\) | 897.372 | 1.04467 | 0.522335 | − | 0.852740i | \(-0.325061\pi\) | ||||
0.522335 | + | 0.852740i | \(0.325061\pi\) | |||||||
\(860\) | − | 962.866i | − | 1.11961i | ||||||
\(861\) | 12.9884 | + | 52.3153i | 0.0150852 | + | 0.0607611i | ||||
\(862\) | −2789.47 | −3.23605 | ||||||||
\(863\) | 794.103i | 0.920166i | 0.887876 | + | 0.460083i | \(0.152180\pi\) | ||||
−0.887876 | + | 0.460083i | \(0.847820\pi\) | |||||||
\(864\) | −119.839 | − | 133.896i | −0.138702 | − | 0.154973i | ||||
\(865\) | 911.427 | 1.05367 | ||||||||
\(866\) | 486.221i | 0.561457i | ||||||||
\(867\) | −839.197 | + | 208.348i | −0.967931 | + | 0.240309i | ||||
\(868\) | −1618.18 | −1.86426 | ||||||||
\(869\) | 918.019i | 1.05641i | ||||||||
\(870\) | 963.026 | + | 3878.94i | 1.10693 | + | 4.45855i | ||||
\(871\) | −238.883 | −0.274263 | ||||||||
\(872\) | − | 299.891i | − | 0.343912i | ||||||
\(873\) | 742.031 | − | 392.652i | 0.849978 | − | 0.449773i | ||||
\(874\) | 2327.18 | 2.66268 | ||||||||
\(875\) | 510.987i | 0.583985i | ||||||||
\(876\) | 688.563 | − | 170.950i | 0.786030 | − | 0.195148i | ||||
\(877\) | 53.5482 | 0.0610584 | 0.0305292 | − | 0.999534i | \(-0.490281\pi\) | ||||
0.0305292 | + | 0.999534i | \(0.490281\pi\) | |||||||
\(878\) | − | 628.586i | − | 0.715929i | ||||||
\(879\) | −121.556 | − | 489.610i | −0.138289 | − | 0.557008i | ||||
\(880\) | −951.880 | −1.08168 | ||||||||
\(881\) | − | 1041.60i | − | 1.18229i | −0.806566 | − | 0.591144i | \(-0.798677\pi\) | ||
0.806566 | − | 0.591144i | \(-0.201323\pi\) | |||||||
\(882\) | −534.233 | − | 1009.59i | −0.605707 | − | 1.14466i | ||||
\(883\) | 992.012 | 1.12346 | 0.561728 | − | 0.827322i | \(-0.310137\pi\) | ||||
0.561728 | + | 0.827322i | \(0.310137\pi\) | |||||||
\(884\) | 17.1108i | 0.0193562i | ||||||||
\(885\) | 183.677 | − | 45.6015i | 0.207544 | − | 0.0515272i | ||||
\(886\) | −3.55525 | −0.00401270 | ||||||||
\(887\) | 189.935i | 0.214132i | 0.994252 | + | 0.107066i | \(0.0341457\pi\) | ||||
−0.994252 | + | 0.107066i | \(0.965854\pi\) | |||||||
\(888\) | −111.819 | − | 450.393i | −0.125923 | − | 0.507200i | ||||
\(889\) | −273.541 | −0.307695 | ||||||||
\(890\) | − | 2832.18i | − | 3.18223i | ||||||
\(891\) | 412.265 | + | 280.472i | 0.462699 | + | 0.314783i | ||||
\(892\) | 1202.12 | 1.34767 | ||||||||
\(893\) | − | 2482.73i | − | 2.78021i | ||||||
\(894\) | 273.808 | − | 67.9785i | 0.306273 | − | 0.0760386i | ||||
\(895\) | 448.424 | 0.501032 | ||||||||
\(896\) | − | 743.728i | − | 0.830054i | ||||||
\(897\) | 34.5249 | + | 139.061i | 0.0384893 | + | 0.155029i | ||||
\(898\) | 1702.37 | 1.89574 | ||||||||
\(899\) | − | 2557.56i | − | 2.84489i | ||||||
\(900\) | 2779.64 | − | 1470.87i | 3.08849 | − | 1.63430i | ||||
\(901\) | 63.6048 | 0.0705935 | ||||||||
\(902\) | − | 108.500i | − | 0.120288i | ||||||
\(903\) | 147.853 | − | 36.7076i | 0.163736 | − | 0.0406508i | ||||
\(904\) | 1013.28 | 1.12089 | ||||||||
\(905\) | − | 1025.72i | − | 1.13339i | ||||||
\(906\) | 314.473 | + | 1266.65i | 0.347101 | + | 1.39807i | ||||
\(907\) | −1404.63 | −1.54866 | −0.774330 | − | 0.632782i | \(-0.781913\pi\) | ||||
−0.774330 | + | 0.632782i | \(0.781913\pi\) | |||||||
\(908\) | − | 953.478i | − | 1.05009i | ||||||
\(909\) | 169.852 | + | 320.985i | 0.186856 | + | 0.353119i | ||||
\(910\) | 241.715 | 0.265621 | ||||||||
\(911\) | 1448.85i | 1.59040i | 0.606350 | + | 0.795198i | \(0.292633\pi\) | ||||
−0.606350 | + | 0.795198i | \(0.707367\pi\) | |||||||
\(912\) | −1802.76 | + | 447.573i | −1.97671 | + | 0.490760i | ||||
\(913\) | 523.869 | 0.573788 | ||||||||
\(914\) | − | 1165.48i | − | 1.27515i | ||||||
\(915\) | 48.9579 | + | 197.196i | 0.0535059 | + | 0.215514i | ||||
\(916\) | 3504.93 | 3.82635 | ||||||||
\(917\) | − | 779.034i | − | 0.849546i | ||||||
\(918\) | −61.9668 | + | 55.4610i | −0.0675020 | + | 0.0604150i | ||||
\(919\) | −734.779 | −0.799542 | −0.399771 | − | 0.916615i | \(-0.630910\pi\) | ||||
−0.399771 | + | 0.916615i | \(0.630910\pi\) | |||||||
\(920\) | − | 2459.12i | − | 2.67296i | ||||||
\(921\) | −463.330 | + | 115.031i | −0.503073 | + | 0.124898i | ||||
\(922\) | 1606.45 | 1.74236 | ||||||||
\(923\) | 230.490i | 0.249718i | ||||||||
\(924\) | −130.587 | − | 525.986i | −0.141328 | − | 0.569249i | ||||
\(925\) | 443.764 | 0.479745 | ||||||||
\(926\) | 1724.67i | 1.86250i | ||||||||
\(927\) | −947.214 | + | 501.226i | −1.02181 | + | 0.540697i | ||||
\(928\) | −308.687 | −0.332636 | ||||||||
\(929\) | − | 1663.67i | − | 1.79082i | −0.445247 | − | 0.895408i | \(-0.646884\pi\) | ||
0.445247 | − | 0.895408i | \(-0.353116\pi\) | |||||||
\(930\) | −4611.44 | + | 1144.89i | −4.95854 | + | 1.23106i | ||||
\(931\) | −1193.39 | −1.28184 | ||||||||
\(932\) | − | 1319.15i | − | 1.41539i | ||||||
\(933\) | 268.777 | + | 1082.59i | 0.288078 | + | 1.16034i | ||||
\(934\) | 1858.00 | 1.98929 | ||||||||
\(935\) | 44.5253i | 0.0476207i | ||||||||
\(936\) | −147.029 | − | 277.855i | −0.157083 | − | 0.296854i | ||||
\(937\) | 670.044 | 0.715095 | 0.357548 | − | 0.933895i | \(-0.383613\pi\) | ||||
0.357548 | + | 0.933895i | \(0.383613\pi\) | |||||||
\(938\) | 1261.90i | 1.34531i | ||||||||
\(939\) | 3.17070 | − | 0.787191i | 0.00337667 | − | 0.000838329i | ||||
\(940\) | −5103.63 | −5.42940 | ||||||||
\(941\) | − | 145.712i | − | 0.154848i | −0.996998 | − | 0.0774241i | \(-0.975330\pi\) | ||
0.996998 | − | 0.0774241i | \(-0.0246695\pi\) | |||||||
\(942\) | 564.294 | + | 2272.90i | 0.599038 | + | 2.41284i | ||||
\(943\) | 101.975 | 0.108139 | ||||||||
\(944\) | 144.619i | 0.153198i | ||||||||
\(945\) | 527.247 | + | 589.096i | 0.557933 | + | 0.623382i | ||||
\(946\) | −306.642 | −0.324146 | ||||||||
\(947\) | − | 385.483i | − | 0.407057i | −0.979069 | − | 0.203528i | \(-0.934759\pi\) | ||
0.979069 | − | 0.203528i | \(-0.0652409\pi\) | |||||||
\(948\) | 3574.03 | − | 887.327i | 3.77007 | − | 0.935999i | ||||
\(949\) | 67.8162 | 0.0714607 | ||||||||
\(950\) | − | 4882.38i | − | 5.13935i | ||||||
\(951\) | −241.134 | − | 971.252i | −0.253558 | − | 1.02130i | ||||
\(952\) | 46.4633 | 0.0488060 | ||||||||
\(953\) | 210.506i | 0.220888i | 0.993882 | + | 0.110444i | \(0.0352273\pi\) | ||||
−0.993882 | + | 0.110444i | \(0.964773\pi\) | |||||||
\(954\) | −2009.26 | + | 1063.22i | −2.10615 | + | 1.11448i | ||||
\(955\) | −793.700 | −0.831100 | ||||||||
\(956\) | 1775.73i | 1.85746i | ||||||||
\(957\) | 831.328 | − | 206.394i | 0.868681 | − | 0.215668i | ||||
\(958\) | −2103.14 | −2.19534 | ||||||||
\(959\) | − | 201.335i | − | 0.209943i | ||||||
\(960\) | −308.924 | − | 1244.30i | −0.321796 | − | 1.29615i | ||||
\(961\) | 2079.53 | 2.16392 | ||||||||
\(962\) | − | 86.2942i | − | 0.0897030i | ||||||
\(963\) | −416.936 | − | 787.924i | −0.432956 | − | 0.818198i | ||||
\(964\) | −2539.06 | −2.63388 | ||||||||
\(965\) | − | 56.7274i | − | 0.0587849i | ||||||
\(966\) | 734.590 | − | 182.377i | 0.760445 | − | 0.188796i | ||||
\(967\) | 1351.07 | 1.39718 | 0.698588 | − | 0.715524i | \(-0.253812\pi\) | ||||
0.698588 | + | 0.715524i | \(0.253812\pi\) | |||||||
\(968\) | − | 1229.78i | − | 1.27043i | ||||||
\(969\) | 20.9358 | + | 84.3264i | 0.0216056 | + | 0.0870242i | ||||
\(970\) | −2679.26 | −2.76213 | ||||||||
\(971\) | 310.709i | 0.319989i | 0.987118 | + | 0.159994i | \(0.0511476\pi\) | ||||
−0.987118 | + | 0.159994i | \(0.948852\pi\) | |||||||
\(972\) | 693.449 | − | 1876.13i | 0.713425 | − | 1.93017i | ||||
\(973\) | −221.080 | −0.227215 | ||||||||
\(974\) | − | 1941.47i | − | 1.99330i | ||||||
\(975\) | 291.748 | − | 72.4326i | 0.299229 | − | 0.0742898i | ||||
\(976\) | −155.263 | −0.159081 | ||||||||
\(977\) | 844.199i | 0.864073i | 0.901856 | + | 0.432036i | \(0.142205\pi\) | ||||
−0.901856 | + | 0.432036i | \(0.857795\pi\) | |||||||
\(978\) | −156.125 | − | 628.850i | −0.159637 | − | 0.642996i | ||||
\(979\) | −606.989 | −0.620009 | ||||||||
\(980\) | 2453.20i | 2.50326i | ||||||||
\(981\) | 161.214 | − | 85.3077i | 0.164336 | − | 0.0869600i | ||||
\(982\) | −35.2143 | −0.0358598 | ||||||||
\(983\) | 39.8691i | 0.0405586i | 0.999794 | + | 0.0202793i | \(0.00645555\pi\) | ||||
−0.999794 | + | 0.0202793i | \(0.993544\pi\) | |||||||
\(984\) | −217.138 | + | 53.9090i | −0.220669 | + | 0.0547856i | ||||
\(985\) | 203.607 | 0.206707 | ||||||||
\(986\) | 142.859i | 0.144888i | ||||||||
\(987\) | −194.568 | − | 783.691i | −0.197130 | − | 0.794013i | ||||
\(988\) | −638.934 | −0.646694 | ||||||||
\(989\) | − | 288.202i | − | 0.291407i | ||||||
\(990\) | −744.286 | − | 1406.55i | −0.751804 | − | 1.42075i | ||||
\(991\) | −353.573 | −0.356784 | −0.178392 | − | 0.983960i | \(-0.557089\pi\) | ||||
−0.178392 | + | 0.983960i | \(0.557089\pi\) | |||||||
\(992\) | − | 366.980i | − | 0.369939i | ||||||
\(993\) | −972.208 | + | 241.371i | −0.979062 | + | 0.243072i | ||||
\(994\) | 1217.56 | 1.22491 | ||||||||
\(995\) | − | 165.492i | − | 0.166324i | ||||||
\(996\) | −506.354 | − | 2039.52i | −0.508388 | − | 2.04772i | ||||
\(997\) | −35.1102 | −0.0352159 | −0.0176079 | − | 0.999845i | \(-0.505605\pi\) | ||||
−0.0176079 | + | 0.999845i | \(0.505605\pi\) | |||||||
\(998\) | 1433.69i | 1.43657i | ||||||||
\(999\) | 210.312 | − | 188.231i | 0.210522 | − | 0.188420i |
(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 | 177.3.b.a.119.35 | yes | 38 | |
3.2 | odd | 2 | inner | 177.3.b.a.119.4 | ✓ | 38 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.3.b.a.119.4 | ✓ | 38 | 3.2 | odd | 2 | inner | |
177.3.b.a.119.35 | yes | 38 | 1.1 | even | 1 | trivial |