Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,3,Mod(5,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 10]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.w (of order \(12\), degree \(4\), 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: | \(3.92371580679\) |
Analytic rank: | \(0\) |
Dimension: | \(184\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 29.17 | ||
Character | \(\chi\) | \(=\) | 144.29 |
Dual form | 144.3.w.a.5.17 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.786053 | − | 1.83905i | −0.393026 | − | 0.919527i | ||||
\(3\) | 1.51963 | + | 2.58664i | 0.506544 | + | 0.862214i | ||||
\(4\) | −2.76424 | + | 2.89119i | −0.691061 | + | 0.722797i | ||||
\(5\) | 1.99100 | − | 7.43050i | 0.398199 | − | 1.48610i | −0.418062 | − | 0.908418i | \(-0.637291\pi\) |
0.816262 | − | 0.577682i | \(-0.196043\pi\) | |||||||
\(6\) | 3.56247 | − | 4.82792i | 0.593744 | − | 0.804654i | ||||
\(7\) | −1.50577 | − | 0.869355i | −0.215110 | − | 0.124194i | 0.388574 | − | 0.921417i | \(-0.372968\pi\) |
−0.603684 | + | 0.797224i | \(0.706301\pi\) | |||||||
\(8\) | 7.48989 | + | 2.81097i | 0.936236 | + | 0.351371i | ||||
\(9\) | −4.38144 | + | 7.86149i | −0.486827 | + | 0.873499i | ||||
\(10\) | −15.2301 | + | 2.17922i | −1.52301 | + | 0.217922i | ||||
\(11\) | 15.2997 | − | 4.09955i | 1.39089 | − | 0.372687i | 0.515822 | − | 0.856696i | \(-0.327486\pi\) |
0.875063 | + | 0.484009i | \(0.160820\pi\) | |||||||
\(12\) | −11.6791 | − | 2.75657i | −0.973258 | − | 0.229714i | ||||
\(13\) | 5.73919 | − | 21.4190i | 0.441476 | − | 1.64761i | −0.283599 | − | 0.958943i | \(-0.591528\pi\) |
0.725076 | − | 0.688669i | \(-0.241805\pi\) | |||||||
\(14\) | −0.415179 | + | 3.45255i | −0.0296556 | + | 0.246611i | ||||
\(15\) | 22.2456 | − | 6.14163i | 1.48304 | − | 0.409442i | ||||
\(16\) | −0.717932 | − | 15.9839i | −0.0448707 | − | 0.998993i | ||||
\(17\) | − | 1.12960i | − | 0.0664471i | −0.999448 | − | 0.0332235i | \(-0.989423\pi\) | ||
0.999448 | − | 0.0332235i | \(-0.0105773\pi\) | |||||||
\(18\) | 17.9017 | + | 1.87816i | 0.994541 | + | 0.104342i | ||||
\(19\) | 12.2501 | + | 12.2501i | 0.644741 | + | 0.644741i | 0.951717 | − | 0.306976i | \(-0.0993171\pi\) |
−0.306976 | + | 0.951717i | \(0.599317\pi\) | |||||||
\(20\) | 15.9794 | + | 26.2961i | 0.798969 | + | 1.31480i | ||||
\(21\) | −0.0395007 | − | 5.21598i | −0.00188099 | − | 0.248380i | ||||
\(22\) | −19.5657 | − | 24.9146i | −0.889350 | − | 1.13248i | ||||
\(23\) | −6.80266 | − | 11.7825i | −0.295768 | − | 0.512285i | 0.679395 | − | 0.733772i | \(-0.262242\pi\) |
−0.975163 | + | 0.221488i | \(0.928909\pi\) | |||||||
\(24\) | 4.11091 | + | 23.6453i | 0.171288 | + | 0.985221i | ||||
\(25\) | −29.5977 | − | 17.0882i | −1.18391 | − | 0.683529i | ||||
\(26\) | −43.9019 | + | 6.28174i | −1.68854 | + | 0.241606i | ||||
\(27\) | −26.9930 | + | 0.613350i | −0.999742 | + | 0.0227167i | ||||
\(28\) | 6.67578 | − | 1.95035i | 0.238421 | − | 0.0696553i | ||||
\(29\) | 0.249824 | + | 0.932358i | 0.00861464 | + | 0.0321503i | 0.970099 | − | 0.242708i | \(-0.0780357\pi\) |
−0.961485 | + | 0.274858i | \(0.911369\pi\) | |||||||
\(30\) | −28.7810 | − | 36.0833i | −0.959368 | − | 1.20278i | ||||
\(31\) | 1.87100 | + | 3.24066i | 0.0603547 | + | 0.104537i | 0.894624 | − | 0.446820i | \(-0.147443\pi\) |
−0.834269 | + | 0.551357i | \(0.814110\pi\) | |||||||
\(32\) | −28.8309 | + | 13.8845i | −0.900966 | + | 0.433890i | ||||
\(33\) | 33.8540 | + | 33.3451i | 1.02588 | + | 1.01046i | ||||
\(34\) | −2.07740 | + | 0.887925i | −0.0610999 | + | 0.0261154i | ||||
\(35\) | −9.45773 | + | 9.45773i | −0.270221 | + | 0.270221i | ||||
\(36\) | −10.6177 | − | 34.3986i | −0.294936 | − | 0.955517i | ||||
\(37\) | −35.9564 | + | 35.9564i | −0.971794 | + | 0.971794i | −0.999613 | − | 0.0278191i | \(-0.991144\pi\) |
0.0278191 | + | 0.999613i | \(0.491144\pi\) | |||||||
\(38\) | 12.8994 | − | 32.1578i | 0.339457 | − | 0.846258i | ||||
\(39\) | 64.1247 | − | 17.7037i | 1.64422 | − | 0.453941i | ||||
\(40\) | 35.7992 | − | 50.0570i | 0.894981 | − | 1.25143i | ||||
\(41\) | 30.2406 | + | 52.3783i | 0.737576 | + | 1.27752i | 0.953584 | + | 0.301127i | \(0.0973629\pi\) |
−0.216008 | + | 0.976392i | \(0.569304\pi\) | |||||||
\(42\) | −9.56143 | + | 4.17268i | −0.227653 | + | 0.0993496i | ||||
\(43\) | 4.42169 | + | 16.5020i | 0.102830 | + | 0.383767i | 0.998090 | − | 0.0617772i | \(-0.0196768\pi\) |
−0.895260 | + | 0.445544i | \(0.853010\pi\) | |||||||
\(44\) | −30.4396 | + | 55.5666i | −0.691809 | + | 1.26288i | ||||
\(45\) | 49.6914 | + | 48.2085i | 1.10425 | + | 1.07130i | ||||
\(46\) | −16.3215 | + | 21.7722i | −0.354815 | + | 0.473308i | ||||
\(47\) | 11.2070 | + | 6.47034i | 0.238446 | + | 0.137667i | 0.614462 | − | 0.788946i | \(-0.289373\pi\) |
−0.376016 | + | 0.926613i | \(0.622706\pi\) | |||||||
\(48\) | 40.2536 | − | 26.1467i | 0.838617 | − | 0.544722i | ||||
\(49\) | −22.9884 | − | 39.8171i | −0.469152 | − | 0.812595i | ||||
\(50\) | −8.16084 | + | 67.8640i | −0.163217 | + | 1.35728i | ||||
\(51\) | 2.92187 | − | 1.71658i | 0.0572916 | − | 0.0336583i | ||||
\(52\) | 46.0617 | + | 75.8003i | 0.885802 | + | 1.45770i | ||||
\(53\) | 38.2384 | + | 38.2384i | 0.721479 | + | 0.721479i | 0.968906 | − | 0.247427i | \(-0.0795852\pi\) |
−0.247427 | + | 0.968906i | \(0.579585\pi\) | |||||||
\(54\) | 22.3459 | + | 49.1595i | 0.413814 | + | 0.910362i | ||||
\(55\) | − | 121.847i | − | 2.21540i | ||||||
\(56\) | −8.83431 | − | 10.7440i | −0.157756 | − | 0.191858i | ||||
\(57\) | −13.0710 | + | 50.3022i | −0.229315 | + | 0.882495i | ||||
\(58\) | 1.51828 | − | 1.19232i | 0.0261773 | − | 0.0205573i | ||||
\(59\) | 5.85788 | − | 21.8619i | 0.0992861 | − | 0.370541i | −0.898348 | − | 0.439284i | \(-0.855232\pi\) |
0.997634 | + | 0.0687430i | \(0.0218989\pi\) | |||||||
\(60\) | −43.7357 | + | 81.2933i | −0.728929 | + | 1.35489i | ||||
\(61\) | −95.2073 | + | 25.5107i | −1.56078 | + | 0.418209i | −0.932909 | − | 0.360112i | \(-0.882738\pi\) |
−0.627867 | + | 0.778321i | \(0.716072\pi\) | |||||||
\(62\) | 4.48905 | − | 5.98819i | 0.0724040 | − | 0.0965837i | ||||
\(63\) | 13.4319 | − | 8.02855i | 0.213204 | − | 0.127437i | ||||
\(64\) | 48.1969 | + | 42.1077i | 0.753077 | + | 0.657932i | ||||
\(65\) | −147.727 | − | 85.2902i | −2.27272 | − | 1.31216i | ||||
\(66\) | 34.7125 | − | 88.4705i | 0.525946 | − | 1.34046i | ||||
\(67\) | −20.8577 | + | 77.8418i | −0.311308 | + | 1.16182i | 0.616069 | + | 0.787692i | \(0.288724\pi\) |
−0.927378 | + | 0.374127i | \(0.877943\pi\) | |||||||
\(68\) | 3.26589 | + | 3.12249i | 0.0480277 | + | 0.0459189i | ||||
\(69\) | 20.1397 | − | 35.5012i | 0.291880 | − | 0.514510i | ||||
\(70\) | 24.8276 | + | 9.95900i | 0.354679 | + | 0.142271i | ||||
\(71\) | 96.9917 | 1.36608 | 0.683040 | − | 0.730381i | \(-0.260657\pi\) | ||||
0.683040 | + | 0.730381i | \(0.260657\pi\) | |||||||
\(72\) | −54.9149 | + | 46.5656i | −0.762707 | + | 0.646745i | ||||
\(73\) | 19.4973i | 0.267087i | 0.991043 | + | 0.133543i | \(0.0426355\pi\) | ||||
−0.991043 | + | 0.133543i | \(0.957364\pi\) | |||||||
\(74\) | 94.3893 | + | 37.8621i | 1.27553 | + | 0.511650i | ||||
\(75\) | −0.776435 | − | 102.526i | −0.0103525 | − | 1.36702i | ||||
\(76\) | −69.2795 | + | 1.55509i | −0.911573 | + | 0.0204618i | ||||
\(77\) | −26.6018 | − | 7.12794i | −0.345478 | − | 0.0925706i | ||||
\(78\) | −82.9634 | − | 104.013i | −1.06363 | − | 1.33350i | ||||
\(79\) | −60.9180 | + | 105.513i | −0.771114 | + | 1.33561i | 0.165838 | + | 0.986153i | \(0.446967\pi\) |
−0.936953 | + | 0.349456i | \(0.886366\pi\) | |||||||
\(80\) | −120.198 | − | 26.4893i | −1.50247 | − | 0.331116i | ||||
\(81\) | −42.6060 | − | 68.8893i | −0.526000 | − | 0.850485i | ||||
\(82\) | 72.5558 | − | 96.7862i | 0.884826 | − | 1.18032i | ||||
\(83\) | −21.7550 | − | 81.1908i | −0.262109 | − | 0.978202i | −0.963996 | − | 0.265915i | \(-0.914326\pi\) |
0.701888 | − | 0.712287i | \(-0.252341\pi\) | |||||||
\(84\) | 15.1896 | + | 14.3040i | 0.180828 | + | 0.170286i | ||||
\(85\) | −8.39350 | − | 2.24903i | −0.0987470 | − | 0.0264592i | ||||
\(86\) | 26.8724 | − | 21.1032i | 0.312469 | − | 0.245386i | ||||
\(87\) | −2.03203 | + | 2.06305i | −0.0233567 | + | 0.0237132i | ||||
\(88\) | 126.117 | + | 12.3018i | 1.43315 | + | 0.139794i | ||||
\(89\) | −62.3081 | −0.700091 | −0.350045 | − | 0.936733i | \(-0.613834\pi\) | ||||
−0.350045 | + | 0.936733i | \(0.613834\pi\) | |||||||
\(90\) | 49.5980 | − | 129.280i | 0.551089 | − | 1.43644i | ||||
\(91\) | −27.2626 | + | 27.2626i | −0.299589 | + | 0.299589i | ||||
\(92\) | 52.8698 | + | 12.9021i | 0.574671 | + | 0.140240i | ||||
\(93\) | −5.53920 | + | 9.76420i | −0.0595613 | + | 0.104991i | ||||
\(94\) | 3.09005 | − | 25.6962i | 0.0328728 | − | 0.273364i | ||||
\(95\) | 115.414 | − | 66.6344i | 1.21489 | − | 0.701415i | ||||
\(96\) | −79.7266 | − | 53.4759i | −0.830485 | − | 0.557041i | ||||
\(97\) | 63.8929 | − | 110.666i | 0.658690 | − | 1.14088i | −0.322265 | − | 0.946649i | \(-0.604444\pi\) |
0.980955 | − | 0.194235i | \(-0.0622224\pi\) | |||||||
\(98\) | −55.1558 | + | 73.5754i | −0.562814 | + | 0.750769i | ||||
\(99\) | −34.8063 | + | 138.241i | −0.351579 | + | 1.39637i | ||||
\(100\) | 131.220 | − | 38.3364i | 1.31220 | − | 0.383364i | ||||
\(101\) | 11.5405 | − | 3.09227i | 0.114263 | − | 0.0306166i | −0.201235 | − | 0.979543i | \(-0.564495\pi\) |
0.315497 | + | 0.948926i | \(0.397829\pi\) | |||||||
\(102\) | −5.45362 | − | 4.02416i | −0.0534669 | − | 0.0394526i | ||||
\(103\) | 42.5462 | − | 24.5640i | 0.413069 | − | 0.238486i | −0.279038 | − | 0.960280i | \(-0.590016\pi\) |
0.692108 | + | 0.721794i | \(0.256682\pi\) | |||||||
\(104\) | 103.194 | − | 144.293i | 0.992249 | − | 1.38743i | ||||
\(105\) | −38.8360 | − | 10.0915i | −0.369867 | − | 0.0961095i | ||||
\(106\) | 40.2651 | − | 100.380i | 0.379859 | − | 0.946980i | ||||
\(107\) | −30.8837 | − | 30.8837i | −0.288633 | − | 0.288633i | 0.547906 | − | 0.836540i | \(-0.315425\pi\) |
−0.836540 | + | 0.547906i | \(0.815425\pi\) | |||||||
\(108\) | 72.8420 | − | 79.7374i | 0.674463 | − | 0.738309i | ||||
\(109\) | 86.7267 | + | 86.7267i | 0.795658 | + | 0.795658i | 0.982408 | − | 0.186750i | \(-0.0597954\pi\) |
−0.186750 | + | 0.982408i | \(0.559795\pi\) | |||||||
\(110\) | −224.083 | + | 95.7781i | −2.03712 | + | 0.870710i | ||||
\(111\) | −147.647 | − | 38.3658i | −1.33015 | − | 0.345638i | ||||
\(112\) | −12.8146 | + | 24.6922i | −0.114416 | + | 0.220466i | ||||
\(113\) | −124.345 | + | 71.7904i | −1.10040 | + | 0.635314i | −0.936325 | − | 0.351135i | \(-0.885796\pi\) |
−0.164071 | + | 0.986449i | \(0.552462\pi\) | |||||||
\(114\) | 102.783 | − | 15.5020i | 0.901605 | − | 0.135982i | ||||
\(115\) | −101.094 | + | 27.0882i | −0.879081 | + | 0.235549i | ||||
\(116\) | −3.38620 | − | 1.85497i | −0.0291913 | − | 0.0159911i | ||||
\(117\) | 143.239 | + | 138.964i | 1.22426 | + | 1.18773i | ||||
\(118\) | −44.8099 | + | 6.41166i | −0.379745 | + | 0.0543361i | ||||
\(119\) | −0.982024 | + | 1.70092i | −0.00825230 | + | 0.0142934i | ||||
\(120\) | 183.881 | + | 16.5316i | 1.53234 | + | 0.137763i | ||||
\(121\) | 112.487 | − | 64.9442i | 0.929641 | − | 0.536729i | ||||
\(122\) | 121.754 | + | 155.039i | 0.997980 | + | 1.27081i | ||||
\(123\) | −89.5293 | + | 157.817i | −0.727880 | + | 1.28307i | ||||
\(124\) | −14.5412 | − | 3.54857i | −0.117268 | − | 0.0286175i | ||||
\(125\) | −49.9154 | + | 49.9154i | −0.399323 | + | 0.399323i | ||||
\(126\) | −25.3231 | − | 18.3911i | −0.200977 | − | 0.145961i | ||||
\(127\) | −160.336 | −1.26249 | −0.631246 | − | 0.775583i | \(-0.717456\pi\) | ||||
−0.631246 | + | 0.775583i | \(0.717456\pi\) | |||||||
\(128\) | 39.5529 | − | 121.736i | 0.309007 | − | 0.951060i | ||||
\(129\) | −35.9654 | + | 36.5143i | −0.278801 | + | 0.283056i | ||||
\(130\) | −40.7321 | + | 338.720i | −0.313324 | + | 2.60554i | ||||
\(131\) | 136.866 | + | 36.6731i | 1.04478 | + | 0.279947i | 0.740092 | − | 0.672506i | \(-0.234782\pi\) |
0.304686 | + | 0.952453i | \(0.401449\pi\) | |||||||
\(132\) | −189.988 | + | 5.70435i | −1.43930 | + | 0.0432147i | ||||
\(133\) | −7.79611 | − | 29.0955i | −0.0586174 | − | 0.218763i | ||||
\(134\) | 159.551 | − | 22.8294i | 1.19068 | − | 0.170369i | ||||
\(135\) | −49.1856 | + | 201.793i | −0.364337 | + | 1.49476i | ||||
\(136\) | 3.17527 | − | 8.46058i | 0.0233475 | − | 0.0622102i | ||||
\(137\) | 111.875 | − | 193.773i | 0.816606 | − | 1.41440i | −0.0915637 | − | 0.995799i | \(-0.529187\pi\) |
0.908169 | − | 0.418603i | \(-0.137480\pi\) | |||||||
\(138\) | −81.1195 | − | 9.13222i | −0.587822 | − | 0.0661755i | ||||
\(139\) | 119.668 | + | 32.0649i | 0.860920 | + | 0.230683i | 0.662157 | − | 0.749365i | \(-0.269641\pi\) |
0.198763 | + | 0.980048i | \(0.436308\pi\) | |||||||
\(140\) | −1.20062 | − | 53.4875i | −0.00857584 | − | 0.382054i | ||||
\(141\) | 0.293992 | + | 38.8209i | 0.00208505 | + | 0.275326i | ||||
\(142\) | −76.2406 | − | 178.373i | −0.536906 | − | 1.25615i | ||||
\(143\) | − | 351.233i | − | 2.45617i | ||||||
\(144\) | 128.803 | + | 64.3884i | 0.894463 | + | 0.447142i | ||||
\(145\) | 7.42529 | 0.0512089 | ||||||||
\(146\) | 35.8566 | − | 15.3259i | 0.245593 | − | 0.104972i | ||||
\(147\) | 68.0588 | − | 119.970i | 0.462985 | − | 0.816124i | ||||
\(148\) | −4.56450 | − | 203.349i | −0.0308412 | − | 1.37398i | ||||
\(149\) | 25.1133 | − | 93.7241i | 0.168546 | − | 0.629021i | −0.829016 | − | 0.559225i | \(-0.811099\pi\) |
0.997561 | − | 0.0697956i | \(-0.0222347\pi\) | |||||||
\(150\) | −187.941 | + | 82.0191i | −1.25294 | + | 0.546794i | ||||
\(151\) | −29.7196 | − | 17.1586i | −0.196818 | − | 0.113633i | 0.398352 | − | 0.917233i | \(-0.369582\pi\) |
−0.595171 | + | 0.803599i | \(0.702916\pi\) | |||||||
\(152\) | 57.3173 | + | 126.186i | 0.377087 | + | 0.830174i | ||||
\(153\) | 8.88034 | + | 4.94927i | 0.0580414 | + | 0.0323482i | ||||
\(154\) | 7.80177 | + | 54.5251i | 0.0506609 | + | 0.354059i | ||||
\(155\) | 27.8049 | − | 7.45029i | 0.179386 | − | 0.0480664i | ||||
\(156\) | −126.071 | + | 234.334i | −0.808150 | + | 1.50214i | ||||
\(157\) | −7.06398 | + | 26.3631i | −0.0449935 | + | 0.167918i | −0.984767 | − | 0.173881i | \(-0.944369\pi\) |
0.939773 | + | 0.341798i | \(0.111036\pi\) | |||||||
\(158\) | 241.929 | + | 29.0927i | 1.53120 | + | 0.184131i | ||||
\(159\) | −40.8008 | + | 157.017i | −0.256609 | + | 0.987530i | ||||
\(160\) | 45.7665 | + | 241.872i | 0.286041 | + | 1.51170i | ||||
\(161\) | 23.6557i | 0.146930i | ||||||||
\(162\) | −93.2005 | + | 132.505i | −0.575312 | + | 0.817934i | ||||
\(163\) | 164.334 | + | 164.334i | 1.00818 | + | 1.00818i | 0.999966 | + | 0.00821510i | \(0.00261498\pi\) |
0.00821510 | + | 0.999966i | \(0.497385\pi\) | |||||||
\(164\) | −235.028 | − | 57.3549i | −1.43310 | − | 0.349725i | ||||
\(165\) | 315.175 | − | 185.162i | 1.91015 | − | 1.12220i | ||||
\(166\) | −132.214 | + | 103.829i | −0.796468 | + | 0.625475i | ||||
\(167\) | 11.4120 | + | 19.7661i | 0.0683353 | + | 0.118360i | 0.898169 | − | 0.439651i | \(-0.144898\pi\) |
−0.829833 | + | 0.558011i | \(0.811565\pi\) | |||||||
\(168\) | 14.3661 | − | 39.1782i | 0.0855125 | − | 0.233203i | ||||
\(169\) | −279.475 | − | 161.355i | −1.65370 | − | 0.954764i | ||||
\(170\) | 2.46164 | + | 17.2040i | 0.0144802 | + | 0.101200i | ||||
\(171\) | −149.977 | + | 42.6309i | −0.877058 | + | 0.249304i | ||||
\(172\) | −59.9330 | − | 32.8315i | −0.348448 | − | 0.190881i | ||||
\(173\) | −30.1316 | − | 112.453i | −0.174171 | − | 0.650015i | −0.996691 | − | 0.0812794i | \(-0.974099\pi\) |
0.822520 | − | 0.568736i | \(-0.192567\pi\) | |||||||
\(174\) | 5.39134 | + | 2.11536i | 0.0309847 | + | 0.0121572i | ||||
\(175\) | 29.7115 | + | 51.4618i | 0.169780 | + | 0.294067i | ||||
\(176\) | −76.5109 | − | 241.606i | −0.434721 | − | 1.37276i | ||||
\(177\) | 65.4508 | − | 18.0698i | 0.369778 | − | 0.102089i | ||||
\(178\) | 48.9774 | + | 114.588i | 0.275154 | + | 0.643752i | ||||
\(179\) | −220.010 | + | 220.010i | −1.22911 | + | 1.22911i | −0.264804 | + | 0.964302i | \(0.585307\pi\) |
−0.964302 | + | 0.264804i | \(0.914693\pi\) | |||||||
\(180\) | −276.739 | + | 10.4071i | −1.53744 | + | 0.0578175i | ||||
\(181\) | 27.4309 | − | 27.4309i | 0.151552 | − | 0.151552i | −0.627259 | − | 0.778811i | \(-0.715823\pi\) |
0.778811 | + | 0.627259i | \(0.215823\pi\) | |||||||
\(182\) | 71.5672 | + | 28.7075i | 0.393226 | + | 0.157734i | ||||
\(183\) | −210.667 | − | 207.500i | −1.15119 | − | 1.13388i | ||||
\(184\) | −17.8308 | − | 107.372i | −0.0969067 | − | 0.583544i | ||||
\(185\) | 195.585 | + | 338.763i | 1.05722 | + | 1.83115i | ||||
\(186\) | 22.3110 | + | 2.51171i | 0.119952 | + | 0.0135038i | ||||
\(187\) | −4.63085 | − | 17.2826i | −0.0247639 | − | 0.0924202i | ||||
\(188\) | −49.6857 | + | 14.5158i | −0.264286 | + | 0.0772118i | ||||
\(189\) | 41.1785 | + | 22.5430i | 0.217875 | + | 0.119275i | ||||
\(190\) | −213.266 | − | 159.875i | −1.12245 | − | 0.841447i | ||||
\(191\) | 189.546 | + | 109.435i | 0.992390 | + | 0.572957i | 0.905988 | − | 0.423304i | \(-0.139130\pi\) |
0.0864021 | + | 0.996260i | \(0.472463\pi\) | |||||||
\(192\) | −35.6758 | + | 188.656i | −0.185812 | + | 0.982585i | ||||
\(193\) | −16.5153 | − | 28.6054i | −0.0855716 | − | 0.148214i | 0.820063 | − | 0.572273i | \(-0.193938\pi\) |
−0.905635 | + | 0.424059i | \(0.860605\pi\) | |||||||
\(194\) | −253.744 | − | 30.5134i | −1.30796 | − | 0.157286i | ||||
\(195\) | −3.87531 | − | 511.726i | −0.0198734 | − | 2.62424i | ||||
\(196\) | 178.664 | + | 43.6003i | 0.911553 | + | 0.222451i | ||||
\(197\) | −73.3903 | − | 73.3903i | −0.372540 | − | 0.372540i | 0.495862 | − | 0.868402i | \(-0.334852\pi\) |
−0.868402 | + | 0.495862i | \(0.834852\pi\) | |||||||
\(198\) | 281.592 | − | 44.6538i | 1.42218 | − | 0.225524i | ||||
\(199\) | 304.640i | 1.53085i | 0.643523 | + | 0.765427i | \(0.277472\pi\) | ||||
−0.643523 | + | 0.765427i | \(0.722528\pi\) | |||||||
\(200\) | −173.649 | − | 211.187i | −0.868245 | − | 1.05594i | ||||
\(201\) | −233.045 | + | 64.3396i | −1.15943 | + | 0.320098i | ||||
\(202\) | −14.7583 | − | 18.7930i | −0.0730610 | − | 0.0930345i | ||||
\(203\) | 0.434373 | − | 1.62110i | 0.00213977 | − | 0.00798572i | ||||
\(204\) | −3.11382 | + | 13.1927i | −0.0152638 | + | 0.0646701i | ||||
\(205\) | 449.406 | − | 120.418i | 2.19222 | − | 0.587405i | ||||
\(206\) | −78.6181 | − | 58.9361i | −0.381641 | − | 0.286097i | ||||
\(207\) | 122.434 | − | 1.85449i | 0.591468 | − | 0.00895891i | ||||
\(208\) | −346.479 | − | 76.3572i | −1.66576 | − | 0.367102i | ||||
\(209\) | 237.643 | + | 137.203i | 1.13705 | + | 0.656475i | ||||
\(210\) | 11.9684 | + | 79.3540i | 0.0569922 | + | 0.377876i | ||||
\(211\) | −51.1274 | + | 190.810i | −0.242310 | + | 0.904314i | 0.732406 | + | 0.680868i | \(0.238397\pi\) |
−0.974716 | + | 0.223446i | \(0.928269\pi\) | |||||||
\(212\) | −216.255 | + | 4.85419i | −1.02007 | + | 0.0228971i | ||||
\(213\) | 147.392 | + | 250.883i | 0.691980 | + | 1.17785i | ||||
\(214\) | −32.5206 | + | 81.0731i | −0.151966 | + | 0.378846i | ||||
\(215\) | 131.422 | 0.611263 | ||||||||
\(216\) | −203.899 | − | 71.2826i | −0.943977 | − | 0.330012i | ||||
\(217\) | − | 6.50624i | − | 0.0299827i | ||||||
\(218\) | 91.3234 | − | 227.667i | 0.418914 | − | 1.04434i | ||||
\(219\) | −50.4326 | + | 29.6288i | −0.230286 | + | 0.135291i | ||||
\(220\) | 352.282 | + | 336.814i | 1.60128 | + | 1.53097i | ||||
\(221\) | −24.1949 | − | 6.48299i | −0.109479 | − | 0.0293348i | ||||
\(222\) | 45.5013 | + | 301.688i | 0.204961 | + | 1.35895i | ||||
\(223\) | 47.3041 | − | 81.9332i | 0.212126 | − | 0.367413i | −0.740254 | − | 0.672328i | \(-0.765295\pi\) |
0.952380 | + | 0.304914i | \(0.0986279\pi\) | |||||||
\(224\) | 55.4832 | + | 4.15748i | 0.247693 | + | 0.0185602i | ||||
\(225\) | 264.019 | − | 157.811i | 1.17342 | − | 0.701381i | ||||
\(226\) | 229.768 | + | 172.246i | 1.01667 | + | 0.762148i | ||||
\(227\) | 84.1564 | + | 314.076i | 0.370733 | + | 1.38359i | 0.859480 | + | 0.511169i | \(0.170787\pi\) |
−0.488747 | + | 0.872425i | \(0.662546\pi\) | |||||||
\(228\) | −109.302 | − | 176.838i | −0.479394 | − | 0.775606i | ||||
\(229\) | −97.5906 | − | 26.1493i | −0.426160 | − | 0.114189i | 0.0393631 | − | 0.999225i | \(-0.487467\pi\) |
−0.465523 | + | 0.885036i | \(0.654134\pi\) | |||||||
\(230\) | 129.282 | + | 164.625i | 0.562096 | + | 0.715762i | ||||
\(231\) | −21.9875 | − | 79.6412i | −0.0951842 | − | 0.344767i | ||||
\(232\) | −0.749667 | + | 7.68550i | −0.00323132 | + | 0.0331272i | ||||
\(233\) | 61.4767 | 0.263848 | 0.131924 | − | 0.991260i | \(-0.457884\pi\) | ||||
0.131924 | + | 0.991260i | \(0.457884\pi\) | |||||||
\(234\) | 142.970 | − | 372.658i | 0.610982 | − | 1.59255i | ||||
\(235\) | 70.3909 | − | 70.3909i | 0.299536 | − | 0.299536i | ||||
\(236\) | 47.0143 | + | 77.3679i | 0.199213 | + | 0.327830i | ||||
\(237\) | −365.498 | + | 2.76792i | −1.54218 | + | 0.0116790i | ||||
\(238\) | 3.90000 | + | 0.468986i | 0.0163865 | + | 0.00197053i | ||||
\(239\) | −158.478 | + | 91.4971i | −0.663087 | + | 0.382833i | −0.793452 | − | 0.608633i | \(-0.791718\pi\) |
0.130365 | + | 0.991466i | \(0.458385\pi\) | |||||||
\(240\) | −114.138 | − | 351.162i | −0.475575 | − | 1.46318i | ||||
\(241\) | −8.63160 | + | 14.9504i | −0.0358158 | + | 0.0620347i | −0.883378 | − | 0.468662i | \(-0.844736\pi\) |
0.847562 | + | 0.530697i | \(0.178070\pi\) | |||||||
\(242\) | −207.856 | − | 155.819i | −0.858910 | − | 0.643882i | ||||
\(243\) | 113.446 | − | 214.893i | 0.466858 | − | 0.884332i | ||||
\(244\) | 189.420 | − | 345.780i | 0.776311 | − | 1.41713i | ||||
\(245\) | −341.631 | + | 91.5399i | −1.39441 | + | 0.373632i | ||||
\(246\) | 360.609 | + | 40.5965i | 1.46589 | + | 0.165026i | ||||
\(247\) | 332.690 | − | 192.079i | 1.34692 | − | 0.777646i | ||||
\(248\) | 4.90417 | + | 29.5315i | 0.0197749 | + | 0.119079i | ||||
\(249\) | 176.952 | − | 179.653i | 0.710651 | − | 0.721496i | ||||
\(250\) | 131.033 | + | 52.5610i | 0.524133 | + | 0.210244i | ||||
\(251\) | −53.7711 | − | 53.7711i | −0.214227 | − | 0.214227i | 0.591833 | − | 0.806061i | \(-0.298404\pi\) |
−0.806061 | + | 0.591833i | \(0.798404\pi\) | |||||||
\(252\) | −13.9169 | + | 61.0269i | −0.0552257 | + | 0.242170i | ||||
\(253\) | −152.382 | − | 152.382i | −0.602301 | − | 0.602301i | ||||
\(254\) | 126.033 | + | 294.868i | 0.496193 | + | 1.16090i | ||||
\(255\) | −6.93758 | − | 25.1287i | −0.0272062 | − | 0.0985438i | ||||
\(256\) | −254.969 | + | 22.9507i | −0.995973 | + | 0.0896511i | ||||
\(257\) | −1.99425 | + | 1.15138i | −0.00775972 | + | 0.00448008i | −0.503875 | − | 0.863777i | \(-0.668093\pi\) |
0.496115 | + | 0.868257i | \(0.334759\pi\) | |||||||
\(258\) | 95.4224 | + | 37.4402i | 0.369854 | + | 0.145117i | ||||
\(259\) | 85.4008 | − | 22.8831i | 0.329733 | − | 0.0883517i | ||||
\(260\) | 654.943 | − | 191.344i | 2.51901 | − | 0.735937i | ||||
\(261\) | −8.42431 | − | 2.12108i | −0.0322770 | − | 0.00812673i | ||||
\(262\) | −40.1400 | − | 280.531i | −0.153206 | − | 1.07073i | ||||
\(263\) | −11.0389 | + | 19.1199i | −0.0419730 | + | 0.0726994i | −0.886249 | − | 0.463210i | \(-0.846698\pi\) |
0.844276 | + | 0.535909i | \(0.180031\pi\) | |||||||
\(264\) | 159.831 | + | 344.914i | 0.605421 | + | 1.30649i | ||||
\(265\) | 360.263 | − | 207.998i | 1.35948 | − | 0.784898i | ||||
\(266\) | −47.3800 | + | 37.2080i | −0.178120 | + | 0.139880i | ||||
\(267\) | −94.6853 | − | 161.169i | −0.354627 | − | 0.603628i | ||||
\(268\) | −167.400 | − | 275.477i | −0.624626 | − | 1.02790i | ||||
\(269\) | −233.470 | + | 233.470i | −0.867918 | + | 0.867918i | −0.992242 | − | 0.124324i | \(-0.960324\pi\) |
0.124324 | + | 0.992242i | \(0.460324\pi\) | |||||||
\(270\) | 409.771 | − | 68.1650i | 1.51767 | − | 0.252463i | ||||
\(271\) | −205.475 | −0.758209 | −0.379104 | − | 0.925354i | \(-0.623768\pi\) | ||||
−0.379104 | + | 0.925354i | \(0.623768\pi\) | |||||||
\(272\) | −18.0554 | + | 0.810976i | −0.0663801 | + | 0.00298153i | ||||
\(273\) | −111.948 | − | 29.0895i | −0.410065 | − | 0.106555i | ||||
\(274\) | −444.299 | − | 53.4282i | −1.62153 | − | 0.194994i | ||||
\(275\) | −522.891 | − | 140.108i | −1.90142 | − | 0.509484i | ||||
\(276\) | 46.9695 | + | 156.362i | 0.170180 | + | 0.566527i | ||||
\(277\) | −42.7341 | − | 159.486i | −0.154275 | − | 0.575761i | −0.999166 | − | 0.0408235i | \(-0.987002\pi\) |
0.844892 | − | 0.534937i | \(-0.179665\pi\) | |||||||
\(278\) | −35.0961 | − | 245.280i | −0.126245 | − | 0.882304i | ||||
\(279\) | −33.6741 | + | 0.510058i | −0.120696 | + | 0.00182816i | ||||
\(280\) | −97.4227 | + | 44.2520i | −0.347938 | + | 0.158043i | ||||
\(281\) | −80.3152 | + | 139.110i | −0.285819 | + | 0.495054i | −0.972808 | − | 0.231615i | \(-0.925599\pi\) |
0.686988 | + | 0.726669i | \(0.258932\pi\) | |||||||
\(282\) | 71.1627 | − | 31.0560i | 0.252350 | − | 0.110127i | ||||
\(283\) | −126.634 | − | 33.9316i | −0.447471 | − | 0.119900i | 0.0280447 | − | 0.999607i | \(-0.491072\pi\) |
−0.475516 | + | 0.879707i | \(0.657739\pi\) | |||||||
\(284\) | −268.109 | + | 280.421i | −0.944044 | + | 0.987399i | ||||
\(285\) | 347.747 | + | 197.276i | 1.22016 | + | 0.692195i | ||||
\(286\) | −645.936 | + | 276.087i | −2.25852 | + | 0.965340i | ||||
\(287\) | − | 105.159i | − | 0.366409i | ||||||
\(288\) | 17.1681 | − | 287.488i | 0.0596113 | − | 0.998222i | ||||
\(289\) | 287.724 | 0.995585 | ||||||||
\(290\) | −5.83667 | − | 13.6555i | −0.0201264 | − | 0.0470879i | ||||
\(291\) | 383.346 | − | 2.90309i | 1.31734 | − | 0.00997626i | ||||
\(292\) | −56.3704 | − | 53.8953i | −0.193049 | − | 0.184573i | ||||
\(293\) | 107.565 | − | 401.438i | 0.367116 | − | 1.37010i | −0.497413 | − | 0.867514i | \(-0.665717\pi\) |
0.864529 | − | 0.502583i | \(-0.167617\pi\) | |||||||
\(294\) | −274.130 | − | 30.8608i | −0.932414 | − | 0.104969i | ||||
\(295\) | −150.782 | − | 87.0540i | −0.511125 | − | 0.295098i | ||||
\(296\) | −370.381 | + | 168.237i | −1.25129 | + | 0.568369i | ||||
\(297\) | −410.472 | + | 120.043i | −1.38206 | + | 0.404187i | ||||
\(298\) | −192.104 | + | 27.4874i | −0.644645 | + | 0.0922395i | ||||
\(299\) | −291.412 | + | 78.0835i | −0.974621 | + | 0.261149i | ||||
\(300\) | 298.569 | + | 281.163i | 0.995231 | + | 0.937210i | ||||
\(301\) | 7.68805 | − | 28.6922i | 0.0255417 | − | 0.0953229i | ||||
\(302\) | −8.19445 | + | 68.1435i | −0.0271340 | + | 0.225641i | ||||
\(303\) | 25.5360 | + | 25.1521i | 0.0842771 | + | 0.0830102i | ||||
\(304\) | 187.009 | − | 204.599i | 0.615162 | − | 0.673022i | ||||
\(305\) | 758.230i | 2.48600i | ||||||||
\(306\) | 2.12157 | − | 20.2218i | 0.00693323 | − | 0.0660843i | ||||
\(307\) | 102.995 | + | 102.995i | 0.335488 | + | 0.335488i | 0.854666 | − | 0.519178i | \(-0.173762\pi\) |
−0.519178 | + | 0.854666i | \(0.673762\pi\) | |||||||
\(308\) | 94.1421 | − | 57.2075i | 0.305656 | − | 0.185739i | ||||
\(309\) | 128.193 | + | 72.7234i | 0.414864 | + | 0.235351i | ||||
\(310\) | −35.5576 | − | 45.2784i | −0.114702 | − | 0.146059i | ||||
\(311\) | −66.9346 | − | 115.934i | −0.215224 | − | 0.372778i | 0.738118 | − | 0.674672i | \(-0.235715\pi\) |
−0.953342 | + | 0.301893i | \(0.902381\pi\) | |||||||
\(312\) | 530.051 | + | 47.6535i | 1.69888 | + | 0.152735i | ||||
\(313\) | 237.334 | + | 137.025i | 0.758257 | + | 0.437780i | 0.828669 | − | 0.559738i | \(-0.189098\pi\) |
−0.0704129 | + | 0.997518i | \(0.522432\pi\) | |||||||
\(314\) | 54.0359 | − | 7.73176i | 0.172089 | − | 0.0246235i | ||||
\(315\) | −32.9134 | − | 115.790i | −0.104487 | − | 0.367588i | ||||
\(316\) | −136.666 | − | 467.789i | −0.432488 | − | 1.48035i | ||||
\(317\) | −93.1714 | − | 347.720i | −0.293916 | − | 1.09691i | −0.942074 | − | 0.335404i | \(-0.891127\pi\) |
0.648158 | − | 0.761506i | \(-0.275539\pi\) | |||||||
\(318\) | 320.835 | − | 48.3891i | 1.00891 | − | 0.152167i | ||||
\(319\) | 7.64450 | + | 13.2407i | 0.0239639 | + | 0.0415068i | ||||
\(320\) | 408.841 | − | 274.291i | 1.27763 | − | 0.857161i | ||||
\(321\) | 32.9533 | − | 126.817i | 0.102658 | − | 0.395069i | ||||
\(322\) | 43.5041 | − | 18.5946i | 0.135106 | − | 0.0577473i | ||||
\(323\) | 13.8377 | − | 13.8377i | 0.0428412 | − | 0.0428412i | ||||
\(324\) | 316.945 | + | 67.2447i | 0.978225 | + | 0.207545i | ||||
\(325\) | −535.879 | + | 535.879i | −1.64886 | + | 1.64886i | ||||
\(326\) | 173.044 | − | 431.393i | 0.530808 | − | 1.32329i | ||||
\(327\) | −92.5383 | + | 356.124i | −0.282992 | + | 1.08906i | ||||
\(328\) | 79.2654 | + | 477.313i | 0.241663 | + | 1.45522i | ||||
\(329\) | −11.2500 | − | 19.4857i | −0.0341947 | − | 0.0592269i | ||||
\(330\) | −588.268 | − | 434.076i | −1.78263 | − | 1.31538i | ||||
\(331\) | 68.9272 | + | 257.240i | 0.208239 | + | 0.777160i | 0.988438 | + | 0.151628i | \(0.0484514\pi\) |
−0.780198 | + | 0.625532i | \(0.784882\pi\) | |||||||
\(332\) | 294.874 | + | 161.533i | 0.888175 | + | 0.486546i | ||||
\(333\) | −125.130 | − | 440.211i | −0.375766 | − | 1.32196i | ||||
\(334\) | 27.3806 | − | 36.5245i | 0.0819778 | − | 0.109355i | ||||
\(335\) | 536.877 | + | 309.966i | 1.60262 | + | 0.925271i | ||||
\(336\) | −83.3433 | + | 4.37610i | −0.248046 | + | 0.0130241i | ||||
\(337\) | −55.4620 | − | 96.0630i | −0.164576 | − | 0.285053i | 0.771929 | − | 0.635709i | \(-0.219292\pi\) |
−0.936504 | + | 0.350656i | \(0.885959\pi\) | |||||||
\(338\) | −77.0585 | + | 640.804i | −0.227984 | + | 1.89587i | ||||
\(339\) | −374.654 | − | 212.540i | −1.10517 | − | 0.626962i | ||||
\(340\) | 29.7040 | − | 18.0503i | 0.0873648 | − | 0.0530891i | ||||
\(341\) | 41.9110 | + | 41.9110i | 0.122906 | + | 0.122906i | ||||
\(342\) | 196.290 | + | 242.306i | 0.573948 | + | 0.708496i | ||||
\(343\) | 165.137i | 0.481450i | ||||||||
\(344\) | −13.2685 | + | 136.027i | −0.0385712 | + | 0.395428i | ||||
\(345\) | −223.694 | − | 220.331i | −0.648387 | − | 0.638640i | ||||
\(346\) | −183.121 | + | 143.807i | −0.529253 | + | 0.415628i | ||||
\(347\) | 7.11585 | − | 26.5567i | 0.0205068 | − | 0.0765323i | −0.954914 | − | 0.296882i | \(-0.904053\pi\) |
0.975421 | + | 0.220350i | \(0.0707199\pi\) | |||||||
\(348\) | −0.347620 | − | 11.5778i | −0.000998907 | − | 0.0332694i | ||||
\(349\) | −69.9110 | + | 18.7326i | −0.200318 | + | 0.0536750i | −0.357583 | − | 0.933881i | \(-0.616399\pi\) |
0.157265 | + | 0.987556i | \(0.449732\pi\) | |||||||
\(350\) | 71.2863 | − | 95.0927i | 0.203675 | − | 0.271694i | ||||
\(351\) | −141.781 | + | 581.683i | −0.403934 | + | 1.65722i | ||||
\(352\) | −384.185 | + | 330.623i | −1.09143 | + | 0.939270i | ||||
\(353\) | −111.275 | − | 64.2444i | −0.315225 | − | 0.181995i | 0.334037 | − | 0.942560i | \(-0.391589\pi\) |
−0.649262 | + | 0.760565i | \(0.724922\pi\) | |||||||
\(354\) | −84.6791 | − | 106.164i | −0.239207 | − | 0.299898i | ||||
\(355\) | 193.110 | − | 720.697i | 0.543972 | − | 2.03013i | ||||
\(356\) | 172.235 | − | 180.144i | 0.483805 | − | 0.506023i | ||||
\(357\) | −5.89197 | + | 0.0446200i | −0.0165041 | + | 0.000124986i | ||||
\(358\) | 577.550 | + | 231.671i | 1.61327 | + | 0.647125i | ||||
\(359\) | 4.76387 | 0.0132698 | 0.00663492 | − | 0.999978i | \(-0.497888\pi\) | ||||
0.00663492 | + | 0.999978i | \(0.497888\pi\) | |||||||
\(360\) | 236.671 | + | 500.757i | 0.657418 | + | 1.39099i | ||||
\(361\) | − | 60.8707i | − | 0.168617i | ||||||
\(362\) | −72.0090 | − | 28.8848i | −0.198920 | − | 0.0797922i | ||||
\(363\) | 338.925 | + | 192.271i | 0.933679 | + | 0.529673i | ||||
\(364\) | −3.46086 | − | 154.182i | −0.00950787 | − | 0.423576i | ||||
\(365\) | 144.875 | + | 38.8191i | 0.396918 | + | 0.106354i | ||||
\(366\) | −216.009 | + | 550.535i | −0.590189 | + | 1.50419i | ||||
\(367\) | 73.5089 | − | 127.321i | 0.200297 | − | 0.346924i | −0.748327 | − | 0.663330i | \(-0.769143\pi\) |
0.948624 | + | 0.316406i | \(0.102476\pi\) | |||||||
\(368\) | −183.447 | + | 117.192i | −0.498497 | + | 0.318456i | ||||
\(369\) | −544.268 | + | 8.24399i | −1.47498 | + | 0.0223414i | ||||
\(370\) | 469.264 | − | 625.977i | 1.26828 | − | 1.69183i | ||||
\(371\) | −24.3354 | − | 90.8209i | −0.0655940 | − | 0.244800i | ||||
\(372\) | −12.9184 | − | 43.0055i | −0.0347270 | − | 0.115606i | ||||
\(373\) | −621.849 | − | 166.624i | −1.66716 | − | 0.446713i | −0.702815 | − | 0.711373i | \(-0.748074\pi\) |
−0.964342 | + | 0.264660i | \(0.914740\pi\) | |||||||
\(374\) | −28.1435 | + | 22.1014i | −0.0752500 | + | 0.0590947i | ||||
\(375\) | −204.966 | − | 53.2602i | −0.546577 | − | 0.142027i | ||||
\(376\) | 65.7510 | + | 79.9645i | 0.174870 | + | 0.212672i | ||||
\(377\) | 21.4039 | 0.0567743 | ||||||||
\(378\) | 9.08932 | − | 93.4494i | 0.0240458 | − | 0.247221i | ||||
\(379\) | 242.354 | − | 242.354i | 0.639457 | − | 0.639457i | −0.310964 | − | 0.950422i | \(-0.600652\pi\) |
0.950422 | + | 0.310964i | \(0.100652\pi\) | |||||||
\(380\) | −126.380 | + | 517.878i | −0.332579 | + | 1.36284i | ||||
\(381\) | −243.652 | − | 414.733i | −0.639508 | − | 1.08854i | ||||
\(382\) | 52.2628 | − | 434.608i | 0.136814 | − | 1.13772i | ||||
\(383\) | 183.167 | − | 105.751i | 0.478242 | − | 0.276113i | −0.241442 | − | 0.970415i | \(-0.577620\pi\) |
0.719683 | + | 0.694302i | \(0.244287\pi\) | |||||||
\(384\) | 374.992 | − | 82.6841i | 0.976543 | − | 0.215323i | ||||
\(385\) | −105.928 | + | 183.473i | −0.275138 | + | 0.476554i | ||||
\(386\) | −39.6249 | + | 52.8579i | −0.102655 | + | 0.136938i | ||||
\(387\) | −149.104 | − | 37.5414i | −0.385280 | − | 0.0970061i | ||||
\(388\) | 143.340 | + | 490.633i | 0.369433 | + | 1.26452i | ||||
\(389\) | −243.202 | + | 65.1659i | −0.625199 | + | 0.167522i | −0.557490 | − | 0.830184i | \(-0.688236\pi\) |
−0.0677088 | + | 0.997705i | \(0.521569\pi\) | |||||||
\(390\) | −938.047 | + | 409.371i | −2.40525 | + | 1.04967i | ||||
\(391\) | −13.3096 | + | 7.68428i | −0.0340398 | + | 0.0196529i | ||||
\(392\) | −60.2563 | − | 362.846i | −0.153715 | − | 0.925627i | ||||
\(393\) | 113.126 | + | 409.753i | 0.287851 | + | 1.04263i | ||||
\(394\) | −77.2802 | + | 192.658i | −0.196143 | + | 0.488978i | ||||
\(395\) | 662.728 | + | 662.728i | 1.67779 | + | 1.67779i | ||||
\(396\) | −303.467 | − | 482.762i | −0.766330 | − | 1.21910i | ||||
\(397\) | 57.9316 | + | 57.9316i | 0.145923 | + | 0.145923i | 0.776294 | − | 0.630371i | \(-0.217097\pi\) |
−0.630371 | + | 0.776294i | \(0.717097\pi\) | |||||||
\(398\) | 560.249 | − | 239.463i | 1.40766 | − | 0.601666i | ||||
\(399\) | 63.4124 | − | 64.3801i | 0.158928 | − | 0.161354i | ||||
\(400\) | −251.887 | + | 485.354i | −0.629718 | + | 1.21339i | ||||
\(401\) | −243.809 | + | 140.763i | −0.608002 | + | 0.351030i | −0.772183 | − | 0.635400i | \(-0.780835\pi\) |
0.164181 | + | 0.986430i | \(0.447502\pi\) | |||||||
\(402\) | 301.510 | + | 378.008i | 0.750024 | + | 0.940318i | ||||
\(403\) | 80.1495 | − | 21.4760i | 0.198882 | − | 0.0532903i | ||||
\(404\) | −22.9605 | + | 41.9136i | −0.0568328 | + | 0.103747i | ||||
\(405\) | −596.710 | + | 179.426i | −1.47336 | + | 0.443026i | ||||
\(406\) | −3.32273 | + | 0.475436i | −0.00818407 | + | 0.00117102i | ||||
\(407\) | −402.718 | + | 697.528i | −0.989479 | + | 1.71383i | ||||
\(408\) | 26.7097 | − | 4.64369i | 0.0654650 | − | 0.0113816i | ||||
\(409\) | 45.6115 | − | 26.3338i | 0.111519 | − | 0.0643858i | −0.443203 | − | 0.896421i | \(-0.646158\pi\) |
0.554722 | + | 0.832036i | \(0.312825\pi\) | |||||||
\(410\) | −574.712 | − | 731.827i | −1.40174 | − | 1.78494i | ||||
\(411\) | 671.231 | − | 5.08324i | 1.63316 | − | 0.0123680i | ||||
\(412\) | −46.5886 | + | 190.910i | −0.113079 | + | 0.463373i | ||||
\(413\) | −27.8264 | + | 27.8264i | −0.0673762 | + | 0.0673762i | ||||
\(414\) | −99.6499 | − | 223.705i | −0.240700 | − | 0.540350i | ||||
\(415\) | −646.603 | −1.55808 | ||||||||
\(416\) | 131.925 | + | 697.214i | 0.317128 | + | 1.67599i | ||||
\(417\) | 98.9106 | + | 358.265i | 0.237196 | + | 0.859148i | ||||
\(418\) | 65.5243 | − | 544.887i | 0.156757 | − | 1.30356i | ||||
\(419\) | −491.103 | − | 131.591i | −1.17208 | − | 0.314059i | −0.380302 | − | 0.924862i | \(-0.624180\pi\) |
−0.791782 | + | 0.610803i | \(0.790847\pi\) | |||||||
\(420\) | 136.529 | − | 84.3869i | 0.325068 | − | 0.200921i | ||||
\(421\) | 159.121 | + | 593.849i | 0.377961 | + | 1.41057i | 0.848971 | + | 0.528440i | \(0.177223\pi\) |
−0.471010 | + | 0.882128i | \(0.656110\pi\) | |||||||
\(422\) | 391.099 | − | 55.9607i | 0.926775 | − | 0.132608i | ||||
\(423\) | −99.9691 | + | 59.7539i | −0.236333 | + | 0.141262i | ||||
\(424\) | 178.915 | + | 393.888i | 0.421968 | + | 0.928982i | ||||
\(425\) | −19.3029 | + | 33.4335i | −0.0454185 | + | 0.0786671i | ||||
\(426\) | 345.530 | − | 468.268i | 0.811102 | − | 1.09922i | ||||
\(427\) | 165.538 | + | 44.3558i | 0.387677 | + | 0.103878i | ||||
\(428\) | 174.661 | − | 3.92055i | 0.408086 | − | 0.00916017i | ||||
\(429\) | 908.513 | − | 533.744i | 2.11775 | − | 1.24416i | ||||
\(430\) | −103.304 | − | 241.692i | −0.240243 | − | 0.562073i | ||||
\(431\) | − | 501.480i | − | 1.16353i | −0.813358 | − | 0.581763i | \(-0.802363\pi\) | ||
0.813358 | − | 0.581763i | \(-0.197637\pi\) | |||||||
\(432\) | 29.1829 | + | 431.013i | 0.0675530 | + | 0.997716i | ||||
\(433\) | 527.222 | 1.21760 | 0.608802 | − | 0.793322i | \(-0.291650\pi\) | ||||
0.608802 | + | 0.793322i | \(0.291650\pi\) | |||||||
\(434\) | −11.9653 | + | 5.11425i | −0.0275699 | + | 0.0117840i | ||||
\(435\) | 11.2837 | + | 19.2066i | 0.0259395 | + | 0.0441530i | ||||
\(436\) | −490.477 | + | 11.0096i | −1.12495 | + | 0.0252513i | ||||
\(437\) | 61.0041 | − | 227.670i | 0.139598 | − | 0.520985i | ||||
\(438\) | 94.1316 | + | 69.4586i | 0.214912 | + | 0.158581i | ||||
\(439\) | −697.768 | − | 402.857i | −1.58945 | − | 0.917669i | −0.993398 | − | 0.114722i | \(-0.963402\pi\) |
−0.596051 | − | 0.802946i | \(-0.703264\pi\) | |||||||
\(440\) | 342.508 | − | 912.620i | 0.778426 | − | 2.07414i | ||||
\(441\) | 413.744 | − | 6.26695i | 0.938196 | − | 0.0142108i | ||||
\(442\) | 7.09586 | + | 49.5916i | 0.0160540 | + | 0.112198i | ||||
\(443\) | 703.771 | − | 188.575i | 1.58865 | − | 0.425677i | 0.647059 | − | 0.762440i | \(-0.275999\pi\) |
0.941590 | + | 0.336763i | \(0.109332\pi\) | |||||||
\(444\) | 519.054 | − | 320.822i | 1.16904 | − | 0.722572i | ||||
\(445\) | −124.055 | + | 462.980i | −0.278776 | + | 1.04041i | ||||
\(446\) | −187.863 | − | 22.5911i | −0.421218 | − | 0.0506527i | ||||
\(447\) | 280.594 | − | 77.4670i | 0.627727 | − | 0.173304i | ||||
\(448\) | −35.9669 | − | 105.305i | −0.0802833 | − | 0.235055i | ||||
\(449\) | − | 657.505i | − | 1.46438i | −0.681102 | − | 0.732189i | \(-0.738499\pi\) | ||
0.681102 | − | 0.732189i | \(-0.261501\pi\) | |||||||
\(450\) | −497.756 | − | 361.498i | −1.10612 | − | 0.803330i | ||||
\(451\) | 677.401 | + | 677.401i | 1.50200 | + | 1.50200i | ||||
\(452\) | 136.159 | − | 557.950i | 0.301237 | − | 1.23440i | ||||
\(453\) | −0.779633 | − | 102.949i | −0.00172104 | − | 0.227260i | ||||
\(454\) | 511.451 | − | 401.648i | 1.12654 | − | 0.884688i | ||||
\(455\) | 148.295 | + | 256.854i | 0.325923 | + | 0.564515i | ||||
\(456\) | −239.298 | + | 340.016i | −0.524776 | + | 0.745649i | ||||
\(457\) | −706.736 | − | 408.034i | −1.54647 | − | 0.892853i | −0.998407 | − | 0.0564143i | \(-0.982033\pi\) |
−0.548060 | − | 0.836439i | \(-0.684633\pi\) | |||||||
\(458\) | 28.6213 | + | 200.029i | 0.0624920 | + | 0.436745i | ||||
\(459\) | 0.692840 | + | 30.4913i | 0.00150946 | + | 0.0664299i | ||||
\(460\) | 201.132 | − | 367.161i | 0.437244 | − | 0.798176i | ||||
\(461\) | 165.248 | + | 616.713i | 0.358455 | + | 1.33777i | 0.876081 | + | 0.482164i | \(0.160149\pi\) |
−0.517626 | + | 0.855607i | \(0.673184\pi\) | |||||||
\(462\) | −129.181 | + | 103.039i | −0.279613 | + | 0.223027i | ||||
\(463\) | −38.9927 | − | 67.5374i | −0.0842175 | − | 0.145869i | 0.820840 | − | 0.571158i | \(-0.193506\pi\) |
−0.905058 | + | 0.425289i | \(0.860172\pi\) | |||||||
\(464\) | 14.7233 | − | 4.66253i | 0.0317313 | − | 0.0100486i | ||||
\(465\) | 61.5244 | + | 60.5996i | 0.132311 | + | 0.130322i | ||||
\(466\) | −48.3239 | − | 113.059i | −0.103699 | − | 0.242616i | ||||
\(467\) | 568.618 | − | 568.618i | 1.21760 | − | 1.21760i | 0.249126 | − | 0.968471i | \(-0.419857\pi\) |
0.968471 | − | 0.249126i | \(-0.0801432\pi\) | |||||||
\(468\) | −797.720 | + | 29.9993i | −1.70453 | + | 0.0641011i | ||||
\(469\) | 99.0790 | − | 99.0790i | 0.211256 | − | 0.211256i | ||||
\(470\) | −184.784 | − | 74.1217i | −0.393157 | − | 0.157706i | ||||
\(471\) | −78.9266 | + | 21.7902i | −0.167572 | + | 0.0462638i | ||||
\(472\) | 105.328 | − | 147.277i | 0.223153 | − | 0.312028i | ||||
\(473\) | 135.302 | + | 234.349i | 0.286050 | + | 0.495453i | ||||
\(474\) | 292.391 | + | 669.994i | 0.616858 | + | 1.41349i | ||||
\(475\) | −153.242 | − | 571.906i | −0.322614 | − | 1.20401i | ||||
\(476\) | −2.20311 | − | 7.54096i | −0.00462839 | − | 0.0158423i | ||||
\(477\) | −468.150 | + | 133.071i | −0.981446 | + | 0.278976i | ||||
\(478\) | 292.840 | + | 219.527i | 0.612636 | + | 0.459263i | ||||
\(479\) | −701.475 | − | 404.997i | −1.46446 | − | 0.845504i | −0.465244 | − | 0.885182i | \(-0.654033\pi\) |
−0.999213 | + | 0.0396781i | \(0.987367\pi\) | |||||||
\(480\) | −556.088 | + | 485.938i | −1.15852 | + | 1.01237i | ||||
\(481\) | 563.788 | + | 976.509i | 1.17212 | + | 2.03016i | ||||
\(482\) | 34.2794 | + | 4.12220i | 0.0711192 | + | 0.00855229i | ||||
\(483\) | −61.1889 | + | 35.9480i | −0.126685 | + | 0.0744264i | ||||
\(484\) | −123.174 | + | 504.741i | −0.254493 | + | 1.04285i | ||||
\(485\) | −695.092 | − | 695.092i | −1.43318 | − | 1.43318i | ||||
\(486\) | −484.374 | − | 39.7172i | −0.996655 | − | 0.0817226i | ||||
\(487\) | − | 784.135i | − | 1.61013i | −0.593185 | − | 0.805066i | \(-0.702130\pi\) | ||
0.593185 | − | 0.805066i | \(-0.297870\pi\) | |||||||
\(488\) | −784.802 | − | 76.5519i | −1.60820 | − | 0.156869i | ||||
\(489\) | −175.346 | + | 674.799i | −0.358580 | + | 1.37996i | ||||
\(490\) | 436.887 | + | 556.324i | 0.891606 | + | 1.13535i | ||||
\(491\) | 27.9001 | − | 104.125i | 0.0568230 | − | 0.212066i | −0.931677 | − | 0.363288i | \(-0.881654\pi\) |
0.988500 | + | 0.151222i | \(0.0483208\pi\) | |||||||
\(492\) | −208.799 | − | 695.091i | −0.424388 | − | 1.41279i | ||||
\(493\) | 1.05319 | − | 0.282202i | 0.00213629 | − | 0.000572417i | ||||
\(494\) | −614.755 | − | 460.851i | −1.24444 | − | 0.932896i | ||||
\(495\) | 957.898 | + | 533.865i | 1.93515 | + | 1.07852i | ||||
\(496\) | 50.4551 | − | 32.2323i | 0.101724 | − | 0.0649846i | ||||
\(497\) | −146.047 | − | 84.3203i | −0.293857 | − | 0.169658i | ||||
\(498\) | −469.484 | − | 184.208i | −0.942740 | − | 0.369895i | ||||
\(499\) | 12.8421 | − | 47.9274i | 0.0257357 | − | 0.0960469i | −0.951863 | − | 0.306522i | \(-0.900835\pi\) |
0.977599 | + | 0.210475i | \(0.0675012\pi\) | |||||||
\(500\) | −6.33654 | − | 282.293i | −0.0126731 | − | 0.564586i | ||||
\(501\) | −33.7859 | + | 59.5560i | −0.0674370 | + | 0.118874i | ||||
\(502\) | −56.6211 | + | 141.155i | −0.112791 | + | 0.281185i | ||||
\(503\) | 287.179 | 0.570933 | 0.285467 | − | 0.958389i | \(-0.407851\pi\) | ||||
0.285467 | + | 0.958389i | \(0.407851\pi\) | |||||||
\(504\) | 123.171 | − | 22.3765i | 0.244387 | − | 0.0443978i | ||||
\(505\) | − | 91.9086i | − | 0.181997i | ||||||
\(506\) | −160.459 | + | 400.019i | −0.317112 | + | 0.790552i | ||||
\(507\) | −7.33146 | − | 968.103i | −0.0144605 | − | 1.90947i | ||||
\(508\) | 443.209 | − | 463.563i | 0.872458 | − | 0.912525i | ||||
\(509\) | 455.382 | + | 122.019i | 0.894661 | + | 0.239724i | 0.676722 | − | 0.736239i | \(-0.263400\pi\) |
0.217939 | + | 0.975962i | \(0.430067\pi\) | |||||||
\(510\) | −40.7597 | + | 32.5111i | −0.0799210 | + | 0.0637472i | ||||
\(511\) | 16.9501 | − | 29.3584i | 0.0331705 | − | 0.0574529i | ||||
\(512\) | 242.627 | + | 450.862i | 0.473880 | + | 0.880589i | ||||
\(513\) | −338.181 | − | 323.153i | −0.659221 | − | 0.629929i | ||||
\(514\) | 3.68504 | + | 2.76249i | 0.00716933 | + | 0.00537449i | ||||
\(515\) | −97.8139 | − | 365.046i | −0.189930 | − | 0.708828i | ||||
\(516\) | −6.15259 | − | 204.917i | −0.0119236 | − | 0.397126i | ||||
\(517\) | 197.989 | + | 53.0510i | 0.382957 | + | 0.102613i | ||||
\(518\) | −109.213 | − | 139.069i | −0.210835 | − | 0.268474i | ||||
\(519\) | 245.086 | − | 248.826i | 0.472227 | − | 0.479434i | ||||
\(520\) | −866.711 | − | 1054.07i | −1.66675 | − | 2.02706i | ||||
\(521\) | 588.551 | 1.12966 | 0.564828 | − | 0.825209i | \(-0.308943\pi\) | ||||
0.564828 | + | 0.825209i | \(0.308943\pi\) | |||||||
\(522\) | 2.72118 | + | 17.1600i | 0.00521298 | + | 0.0328736i | ||||
\(523\) | 70.9014 | − | 70.9014i | 0.135567 | − | 0.135567i | −0.636067 | − | 0.771634i | \(-0.719440\pi\) |
0.771634 | + | 0.636067i | \(0.219440\pi\) | |||||||
\(524\) | −484.359 | + | 294.332i | −0.924350 | + | 0.561701i | ||||
\(525\) | −87.9628 | + | 155.056i | −0.167548 | + | 0.295345i | ||||
\(526\) | 43.8398 | + | 5.27186i | 0.0833456 | + | 0.0100226i | ||||
\(527\) | 3.66065 | − | 2.11348i | 0.00694620 | − | 0.00401039i | ||||
\(528\) | 508.680 | − | 565.059i | 0.963409 | − | 1.07019i | ||||
\(529\) | 171.948 | − | 297.822i | 0.325043 | − | 0.562991i | ||||
\(530\) | −665.705 | − | 499.046i | −1.25605 | − | 0.941596i | ||||
\(531\) | 146.201 | + | 141.838i | 0.275332 | + | 0.267115i | ||||
\(532\) | 105.671 | + | 57.8869i | 0.198629 | + | 0.108810i | ||||
\(533\) | 1295.44 | − | 347.113i | 2.43048 | − | 0.651245i | ||||
\(534\) | −221.970 | + | 300.819i | −0.415675 | + | 0.563331i | ||||
\(535\) | −290.971 | + | 167.992i | −0.543871 | + | 0.314004i | ||||
\(536\) | −375.032 | + | 524.397i | −0.699687 | + | 0.978352i | ||||
\(537\) | −903.422 | − | 234.753i | −1.68235 | − | 0.437157i | ||||
\(538\) | 612.883 | + | 245.844i | 1.13919 | + | 0.456959i | ||||
\(539\) | −514.950 | − | 514.950i | −0.955380 | − | 0.955380i | ||||
\(540\) | −447.461 | − | 700.009i | −0.828631 | − | 1.29631i | ||||
\(541\) | 51.7287 | + | 51.7287i | 0.0956168 | + | 0.0956168i | 0.753297 | − | 0.657680i | \(-0.228462\pi\) |
−0.657680 | + | 0.753297i | \(0.728462\pi\) | |||||||
\(542\) | 161.514 | + | 377.879i | 0.297996 | + | 0.697193i | ||||
\(543\) | 112.639 | + | 29.2690i | 0.207438 | + | 0.0539025i | ||||
\(544\) | 15.6839 | + | 32.5674i | 0.0288307 | + | 0.0598665i | ||||
\(545\) | 817.096 | − | 471.750i | 1.49926 | − | 0.865597i | ||||
\(546\) | 34.4996 | + | 228.744i | 0.0631861 | + | 0.418944i | ||||
\(547\) | −229.186 | + | 61.4101i | −0.418987 | + | 0.112267i | −0.462152 | − | 0.886801i | \(-0.652922\pi\) |
0.0431652 | + | 0.999068i | \(0.486256\pi\) | |||||||
\(548\) | 250.985 | + | 859.087i | 0.458002 | + | 1.56768i | ||||
\(549\) | 216.593 | − | 860.245i | 0.394522 | − | 1.56693i | ||||
\(550\) | 153.353 | + | 1071.76i | 0.278824 | + | 1.94865i | ||||
\(551\) | −8.36109 | + | 14.4818i | −0.0151744 | + | 0.0262828i | ||||
\(552\) | 250.637 | − | 209.288i | 0.454052 | − | 0.379145i | ||||
\(553\) | 183.457 | − | 105.919i | 0.331748 | − | 0.191535i | ||||
\(554\) | −259.712 | + | 203.955i | −0.468794 | + | 0.368149i | ||||
\(555\) | −579.042 | + | 1020.70i | −1.04332 | + | 1.83910i | ||||
\(556\) | −423.497 | + | 257.347i | −0.761685 | + | 0.462854i | ||||
\(557\) | 6.12472 | − | 6.12472i | 0.0109959 | − | 0.0109959i | −0.701587 | − | 0.712583i | \(-0.747525\pi\) |
0.712583 | + | 0.701587i | \(0.247525\pi\) | |||||||
\(558\) | 27.4076 | + | 61.5275i | 0.0491176 | + | 0.110264i | ||||
\(559\) | 378.832 | 0.677696 | ||||||||
\(560\) | 157.961 | + | 144.381i | 0.282074 | + | 0.257824i | ||||
\(561\) | 37.6667 | − | 38.2415i | 0.0671420 | − | 0.0681667i | ||||
\(562\) | 318.963 | + | 38.3562i | 0.567550 | + | 0.0682495i | ||||
\(563\) | −948.708 | − | 254.206i | −1.68509 | − | 0.451520i | −0.715978 | − | 0.698123i | \(-0.754019\pi\) |
−0.969116 | + | 0.246604i | \(0.920685\pi\) | |||||||
\(564\) | −113.051 | − | 106.460i | −0.200445 | − | 0.188760i | ||||
\(565\) | 285.869 | + | 1066.88i | 0.505963 | + | 1.88828i | ||||
\(566\) | 37.1393 | + | 259.559i | 0.0656171 | + | 0.458586i | ||||
\(567\) | 4.26547 | + | 140.771i | 0.00752287 | + | 0.248273i | ||||
\(568\) | 726.457 | + | 272.640i | 1.27897 | + | 0.480001i | ||||
\(569\) | 146.583 | − | 253.889i | 0.257615 | − | 0.446202i | −0.707988 | − | 0.706225i | \(-0.750397\pi\) |
0.965603 | + | 0.260023i | \(0.0837300\pi\) | |||||||
\(570\) | 89.4533 | − | 794.594i | 0.156936 | − | 1.39402i | ||||
\(571\) | −96.1503 | − | 25.7634i | −0.168389 | − | 0.0451198i | 0.173639 | − | 0.984809i | \(-0.444447\pi\) |
−0.342029 | + | 0.939690i | \(0.611114\pi\) | |||||||
\(572\) | 1015.48 | + | 970.892i | 1.77531 | + | 1.69736i | ||||
\(573\) | 4.97237 | + | 656.589i | 0.00867778 | + | 1.14588i | ||||
\(574\) | −193.394 | + | 82.6608i | −0.336923 | + | 0.144008i | ||||
\(575\) | 464.981i | 0.808663i | ||||||||
\(576\) | −542.201 | + | 194.408i | −0.941321 | + | 0.337513i | ||||
\(577\) | −571.056 | −0.989698 | −0.494849 | − | 0.868979i | \(-0.664777\pi\) | ||||
−0.494849 | + | 0.868979i | \(0.664777\pi\) | |||||||
\(578\) | −226.166 | − | 529.140i | −0.391291 | − | 0.915467i | ||||
\(579\) | 48.8947 | − | 86.1888i | 0.0844467 | − | 0.148858i | ||||
\(580\) | −20.5253 | + | 21.4679i | −0.0353884 | + | 0.0370136i | ||||
\(581\) | −37.8257 | + | 141.167i | −0.0651044 | + | 0.242973i | ||||
\(582\) | −306.670 | − | 702.713i | −0.526924 | − | 1.20741i | ||||
\(583\) | 741.798 | + | 428.277i | 1.27238 | + | 0.734609i | ||||
\(584\) | −54.8063 | + | 146.033i | −0.0938464 | + | 0.250056i | ||||
\(585\) | 1317.76 | − | 787.660i | 2.25259 | − | 1.34643i | ||||
\(586\) | −822.819 | + | 117.734i | −1.40413 | + | 0.200911i | ||||
\(587\) | −589.978 | + | 158.084i | −1.00507 | + | 0.269309i | −0.723569 | − | 0.690252i | \(-0.757500\pi\) |
−0.281504 | + | 0.959560i | \(0.590833\pi\) | |||||||
\(588\) | 158.726 | + | 528.398i | 0.269942 | + | 0.898635i | ||||
\(589\) | −16.7785 | + | 62.6182i | −0.0284864 | + | 0.106313i | ||||
\(590\) | −41.5745 | + | 345.725i | −0.0704652 | + | 0.585975i | ||||
\(591\) | 78.3083 | − | 301.361i | 0.132501 | − | 0.509917i | ||||
\(592\) | 600.537 | + | 548.908i | 1.01442 | + | 0.927210i | ||||
\(593\) | − | 54.2089i | − | 0.0914147i | −0.998955 | − | 0.0457074i | \(-0.985446\pi\) | ||
0.998955 | − | 0.0457074i | \(-0.0145542\pi\) | |||||||
\(594\) | 543.419 | + | 660.520i | 0.914847 | + | 1.11199i | ||||
\(595\) | 10.6834 | + | 10.6834i | 0.0179554 | + | 0.0179554i | ||||
\(596\) | 201.555 | + | 331.683i | 0.338179 | + | 0.556516i | ||||
\(597\) | −787.994 | + | 462.940i | −1.31992 | + | 0.775445i | ||||
\(598\) | 372.665 | + | 474.544i | 0.623185 | + | 0.793552i | ||||
\(599\) | −165.854 | − | 287.267i | −0.276885 | − | 0.479578i | 0.693724 | − | 0.720241i | \(-0.255969\pi\) |
−0.970609 | + | 0.240662i | \(0.922635\pi\) | |||||||
\(600\) | 282.383 | − | 770.094i | 0.470638 | − | 1.28349i | ||||
\(601\) | 173.739 | + | 100.308i | 0.289083 | + | 0.166902i | 0.637528 | − | 0.770427i | \(-0.279957\pi\) |
−0.348445 | + | 0.937329i | \(0.613290\pi\) | |||||||
\(602\) | −58.8097 | + | 8.41483i | −0.0976905 | + | 0.0139781i | ||||
\(603\) | −520.566 | − | 505.031i | −0.863294 | − | 0.837531i | ||||
\(604\) | 131.761 | − | 38.4943i | 0.218147 | − | 0.0637323i | ||||
\(605\) | −258.607 | − | 965.136i | −0.427450 | − | 1.59527i | ||||
\(606\) | 26.1835 | − | 66.7329i | 0.0432070 | − | 0.110120i | ||||
\(607\) | 82.2140 | + | 142.399i | 0.135443 | + | 0.234595i | 0.925767 | − | 0.378095i | \(-0.123421\pi\) |
−0.790323 | + | 0.612690i | \(0.790087\pi\) | |||||||
\(608\) | −523.267 | − | 183.095i | −0.860637 | − | 0.301143i | ||||
\(609\) | 4.85329 | − | 1.33991i | 0.00796928 | − | 0.00220018i | ||||
\(610\) | 1394.43 | − | 596.009i | 2.28595 | − | 0.977064i | ||||
\(611\) | 202.907 | − | 202.907i | 0.332090 | − | 0.332090i | ||||
\(612\) | −38.8567 | + | 11.9937i | −0.0634913 | + | 0.0195976i | ||||
\(613\) | 281.900 | − | 281.900i | 0.459870 | − | 0.459870i | −0.438743 | − | 0.898613i | \(-0.644576\pi\) |
0.898613 | + | 0.438743i | \(0.144576\pi\) | |||||||
\(614\) | 108.454 | − | 270.373i | 0.176635 | − | 0.440346i | ||||
\(615\) | 994.410 | + | 979.461i | 1.61693 | + | 1.59262i | ||||
\(616\) | −179.208 | − | 128.164i | −0.290923 | − | 0.208059i | ||||
\(617\) | 76.6449 | + | 132.753i | 0.124222 | + | 0.215159i | 0.921429 | − | 0.388548i | \(-0.127023\pi\) |
−0.797207 | + | 0.603707i | \(0.793690\pi\) | |||||||
\(618\) | 32.9759 | − | 292.918i | 0.0533591 | − | 0.473977i | ||||
\(619\) | 261.930 | + | 977.536i | 0.423150 | + | 1.57922i | 0.767930 | + | 0.640534i | \(0.221287\pi\) |
−0.344779 | + | 0.938684i | \(0.612046\pi\) | |||||||
\(620\) | −55.3192 | + | 100.984i | −0.0892245 | + | 0.162877i | ||||
\(621\) | 190.851 | + | 313.874i | 0.307329 | + | 0.505434i | ||||
\(622\) | −160.595 | + | 214.227i | −0.258191 | + | 0.344416i | ||||
\(623\) | 93.8215 | + | 54.1679i | 0.150596 | + | 0.0869468i | ||||
\(624\) | −329.011 | − | 1012.25i | −0.527261 | − | 1.62220i | ||||
\(625\) | −155.691 | − | 269.664i | −0.249105 | − | 0.431463i | ||||
\(626\) | 65.4392 | − | 544.180i | 0.104535 | − | 0.869296i | ||||
\(627\) | 6.23408 | + | 823.196i | 0.00994271 | + | 1.31291i | ||||
\(628\) | −56.6942 | − | 93.2973i | −0.0902773 | − | 0.148563i | ||||
\(629\) | 40.6163 | + | 40.6163i | 0.0645728 | + | 0.0645728i | ||||
\(630\) | −187.073 | + | 151.547i | −0.296941 | + | 0.240550i | ||||
\(631\) | 180.759i | 0.286465i | 0.989689 | + | 0.143232i | \(0.0457496\pi\) | ||||
−0.989689 | + | 0.143232i | \(0.954250\pi\) | |||||||
\(632\) | −752.863 | + | 619.043i | −1.19124 | + | 0.979499i | ||||
\(633\) | −571.253 | + | 157.713i | −0.902453 | + | 0.249151i | ||||
\(634\) | −566.239 | + | 444.674i | −0.893121 | + | 0.701378i | ||||
\(635\) | −319.230 | + | 1191.38i | −0.502724 | + | 1.87619i | ||||
\(636\) | −341.183 | − | 551.997i | −0.536452 | − | 0.867919i | ||||
\(637\) | −984.777 | + | 263.870i | −1.54596 | + | 0.414239i | ||||
\(638\) | 18.3413 | − | 24.4665i | 0.0287481 | − | 0.0383488i | ||||
\(639\) | −424.963 | + | 762.499i | −0.665044 | + | 1.19327i | ||||
\(640\) | −825.807 | − | 536.273i | −1.29032 | − | 0.837927i | ||||
\(641\) | −546.031 | − | 315.251i | −0.851843 | − | 0.491812i | 0.00942932 | − | 0.999956i | \(-0.496999\pi\) |
−0.861272 | + | 0.508144i | \(0.830332\pi\) | |||||||
\(642\) | −259.127 | + | 39.0821i | −0.403624 | + | 0.0608755i | ||||
\(643\) | −202.558 | + | 755.957i | −0.315020 | + | 1.17567i | 0.608950 | + | 0.793208i | \(0.291591\pi\) |
−0.923971 | + | 0.382463i | \(0.875076\pi\) | |||||||
\(644\) | −68.3931 | − | 65.3901i | −0.106200 | − | 0.101537i | ||||
\(645\) | 199.713 | + | 339.941i | 0.309632 | + | 0.527040i | ||||
\(646\) | −36.3254 | − | 14.5711i | −0.0562313 | − | 0.0225559i | ||||
\(647\) | 141.404 | 0.218553 | 0.109277 | − | 0.994011i | \(-0.465147\pi\) | ||||
0.109277 | + | 0.994011i | \(0.465147\pi\) | |||||||
\(648\) | −125.469 | − | 635.737i | −0.193625 | − | 0.981076i | ||||
\(649\) | − | 358.496i | − | 0.552383i | ||||||
\(650\) | 1406.74 | + | 564.281i | 2.16421 | + | 0.868125i | ||||
\(651\) | 16.8293 | − | 9.88709i | 0.0258515 | − | 0.0151875i | ||||
\(652\) | −929.377 | + | 20.8614i | −1.42542 | + | 0.0319960i | ||||
\(653\) | 33.4525 | + | 8.96356i | 0.0512289 | + | 0.0137267i | 0.284342 | − | 0.958723i | \(-0.408225\pi\) |
−0.233114 | + | 0.972450i | \(0.574891\pi\) | |||||||
\(654\) | 727.671 | − | 109.749i | 1.11265 | − | 0.167812i | ||||
\(655\) | 544.999 | − | 943.966i | 0.832060 | − | 1.44117i | ||||
\(656\) | 815.498 | − | 520.966i | 1.24314 | − | 0.794156i | ||||
\(657\) | −153.278 | − | 85.4263i | −0.233300 | − | 0.130025i | ||||
\(658\) | −26.9920 | + | 36.0062i | −0.0410213 | + | 0.0547207i | ||||
\(659\) | 315.298 | + | 1176.71i | 0.478449 | + | 1.78560i | 0.607904 | + | 0.794011i | \(0.292011\pi\) |
−0.129454 | + | 0.991585i | \(0.541323\pi\) | |||||||
\(660\) | −335.879 | + | 1423.06i | −0.508908 | + | 2.15616i | ||||
\(661\) | 312.659 | + | 83.7767i | 0.473009 | + | 0.126742i | 0.487446 | − | 0.873153i | \(-0.337929\pi\) |
−0.0144365 | + | 0.999896i | \(0.504595\pi\) | |||||||
\(662\) | 418.898 | − | 328.965i | 0.632776 | − | 0.496926i | ||||
\(663\) | −19.9981 | − | 72.4352i | −0.0301630 | − | 0.109254i | ||||
\(664\) | 65.2819 | − | 669.263i | 0.0983161 | − | 1.00793i | ||||
\(665\) | −231.716 | −0.348445 | ||||||||
\(666\) | −711.214 | + | 576.150i | −1.06789 | + | 0.865090i | ||||
\(667\) | 9.28608 | − | 9.28608i | 0.0139222 | − | 0.0139222i | ||||
\(668\) | −88.6931 | − | 21.6442i | −0.132774 | − | 0.0324015i | ||||
\(669\) | 283.817 | − | 2.14935i | 0.424240 | − | 0.00321278i | ||||
\(670\) | 148.031 | − | 1230.99i | 0.220941 | − | 1.83731i | ||||
\(671\) | −1352.06 | + | 780.615i | −2.01500 | + | 1.16336i | ||||
\(672\) | 73.5601 | + | 149.833i | 0.109464 | + | 0.222966i | ||||
\(673\) | −578.141 | + | 1001.37i | −0.859051 | + | 1.48792i | 0.0137844 | + | 0.999905i | \(0.495612\pi\) |
−0.872835 | + | 0.488015i | \(0.837721\pi\) | |||||||
\(674\) | −133.069 | + | 177.508i | −0.197432 | + | 0.263365i | ||||
\(675\) | 809.412 | + | 443.109i | 1.19913 | + | 0.656458i | ||||
\(676\) | 1239.04 | − | 361.991i | 1.83291 | − | 0.535489i | ||||
\(677\) | 288.831 | − | 77.3920i | 0.426634 | − | 0.114316i | −0.0391119 | − | 0.999235i | \(-0.512453\pi\) |
0.465745 | + | 0.884919i | \(0.345786\pi\) | |||||||
\(678\) | −96.3749 | + | 856.077i | −0.142146 | + | 1.26265i | ||||
\(679\) | −192.416 | + | 111.091i | −0.283381 | + | 0.163610i | ||||
\(680\) | −56.5444 | − | 40.4388i | −0.0831536 | − | 0.0594689i | ||||
\(681\) | −684.515 | + | 694.962i | −1.00516 | + | 1.02050i | ||||
\(682\) | 44.1323 | − | 110.021i | 0.0647102 | − | 0.161321i | ||||
\(683\) | −473.690 | − | 473.690i | −0.693542 | − | 0.693542i | 0.269467 | − | 0.963010i | \(-0.413152\pi\) |
−0.963010 | + | 0.269467i | \(0.913152\pi\) | |||||||
\(684\) | 291.319 | − | 551.454i | 0.425904 | − | 0.806219i | ||||
\(685\) | −1217.09 | − | 1217.09i | −1.77677 | − | 1.77677i | ||||
\(686\) | 303.697 | − | 129.807i | 0.442706 | − | 0.189223i | ||||
\(687\) | −80.6628 | − | 292.169i | −0.117413 | − | 0.425283i | ||||
\(688\) | 260.591 | − | 82.5231i | 0.378767 | − | 0.119946i | ||||
\(689\) | 1038.48 | − | 599.569i | 1.50723 | − | 0.870202i | ||||
\(690\) | −229.366 | + | 584.576i | −0.332414 | + | 0.847212i | ||||
\(691\) | 179.816 | − | 48.1817i | 0.260226 | − | 0.0697275i | −0.126347 | − | 0.991986i | \(-0.540325\pi\) |
0.386573 | + | 0.922259i | \(0.373659\pi\) | |||||||
\(692\) | 408.413 | + | 223.730i | 0.590192 | + | 0.323309i | ||||
\(693\) | 172.590 | − | 177.899i | 0.249048 | − | 0.256709i | ||||
\(694\) | −54.4327 | + | 7.78854i | −0.0784333 | + | 0.0112227i | ||||
\(695\) | 476.517 | − | 825.351i | 0.685636 | − | 1.18756i | ||||
\(696\) | −21.0189 | + | 9.74002i | −0.0301995 | + | 0.0139943i | ||||
\(697\) | 59.1665 | − | 34.1598i | 0.0848874 | − | 0.0490097i | ||||
\(698\) | 89.4039 | + | 113.845i | 0.128086 | + | 0.163102i | ||||
\(699\) | 93.4219 | + | 159.018i | 0.133651 | + | 0.227494i | ||||
\(700\) | −230.915 | − | 56.3514i | −0.329879 | − | 0.0805020i | ||||
\(701\) | 749.244 | − | 749.244i | 1.06882 | − | 1.06882i | 0.0713720 | − | 0.997450i | \(-0.477262\pi\) |
0.997450 | − | 0.0713720i | \(-0.0227377\pi\) | |||||||
\(702\) | 1181.19 | − | 196.491i | 1.68261 | − | 0.279901i | ||||
\(703\) | −880.937 | −1.25311 | ||||||||
\(704\) | 910.023 | + | 446.650i | 1.29265 | + | 0.634446i | ||||
\(705\) | 289.044 | + | 75.1078i | 0.409992 | + | 0.106536i | ||||
\(706\) | −30.6813 | + | 255.139i | −0.0434579 | + | 0.361387i | ||||
\(707\) | −20.0656 | − | 5.37657i | −0.0283814 | − | 0.00760477i | ||||
\(708\) | −128.679 | + | 239.180i | −0.181749 | + | 0.337825i | ||||
\(709\) | −203.623 | − | 759.932i | −0.287198 | − | 1.07184i | −0.947218 | − | 0.320589i | \(-0.896119\pi\) |
0.660021 | − | 0.751247i | \(-0.270547\pi\) | |||||||
\(710\) | −1477.20 | + | 211.366i | −2.08056 | + | 0.297698i | ||||
\(711\) | −562.582 | − | 941.206i | −0.791254 | − | 1.32378i | ||||
\(712\) | −466.681 | − | 175.146i | −0.655450 | − | 0.245991i | ||||
\(713\) | 25.4555 | − | 44.0902i | 0.0357019 | − | 0.0618376i | ||||
\(714\) | 4.71346 | + | 10.8006i | 0.00660149 | + | 0.0151269i | ||||
\(715\) | −2609.84 | − | 699.303i | −3.65012 | − | 0.978046i | ||||
\(716\) | −27.9293 | − | 1244.25i | −0.0390074 | − | 1.73778i | ||||
\(717\) | −477.498 | − | 270.883i | −0.665967 | − | 0.377801i | ||||
\(718\) | −3.74465 | − | 8.76102i | −0.00521539 | − | 0.0122020i | ||||
\(719\) | 156.039i | 0.217022i | 0.994095 | + | 0.108511i | \(0.0346082\pi\) | ||||
−0.994095 | + | 0.108511i | \(0.965392\pi\) | |||||||
\(720\) | 734.884 | − | 828.872i | 1.02067 | − | 1.15121i | ||||
\(721\) | −85.4195 | −0.118474 | ||||||||
\(722\) | −111.944 | + | 47.8476i | −0.155048 | + | 0.0662709i | ||||
\(723\) | −51.7881 | + | 0.392193i | −0.0716295 | + | 0.000542452i | ||||
\(724\) | 3.48223 | + | 155.133i | 0.00480971 | + | 0.214273i | ||||
\(725\) | 8.53811 | − | 31.8647i | 0.0117767 | − | 0.0439513i | ||||
\(726\) | 87.1842 | − | 774.438i | 0.120088 | − | 1.06672i | ||||
\(727\) | −187.077 | − | 108.009i | −0.257327 | − | 0.148568i | 0.365787 | − | 0.930698i | \(-0.380800\pi\) |
−0.623115 | + | 0.782130i | \(0.714133\pi\) | |||||||
\(728\) | −280.828 | + | 127.560i | −0.385753 | + | 0.175219i | ||||
\(729\) | 728.248 | − | 33.1124i | 0.998968 | − | 0.0454216i | ||||
\(730\) | −42.4889 | − | 296.947i | −0.0582039 | − | 0.406776i | ||||
\(731\) | 18.6406 | − | 4.99474i | 0.0255002 | − | 0.00683276i | ||||
\(732\) | 1182.26 | − | 35.4971i | 1.61511 | − | 0.0484932i | ||||
\(733\) | −145.404 | + | 542.654i | −0.198368 | + | 0.740320i | 0.793001 | + | 0.609220i | \(0.208517\pi\) |
−0.991369 | + | 0.131100i | \(0.958149\pi\) | |||||||
\(734\) | −291.932 | − | 35.1057i | −0.397728 | − | 0.0478280i | ||||
\(735\) | −755.935 | − | 744.571i | −1.02848 | − | 1.01302i | ||||
\(736\) | 359.722 | + | 245.250i | 0.488752 | + | 0.333220i | ||||
\(737\) | 1276.47i | 1.73198i | ||||||||
\(738\) | 442.985 | + | 994.459i | 0.600251 | + | 1.34751i | ||||
\(739\) | −1018.28 | − | 1018.28i | −1.37791 | − | 1.37791i | −0.848139 | − | 0.529773i | \(-0.822277\pi\) |
−0.529773 | − | 0.848139i | \(-0.677723\pi\) | |||||||
\(740\) | −1520.07 | − | 370.950i | −2.05415 | − | 0.501284i | ||||
\(741\) | 1002.40 | + | 568.661i | 1.35277 | + | 0.767424i | ||||
\(742\) | −147.896 | + | 116.144i | −0.199320 | + | 0.156528i | ||||
\(743\) | 220.697 | + | 382.258i | 0.297035 | + | 0.514479i | 0.975456 | − | 0.220194i | \(-0.0706690\pi\) |
−0.678422 | + | 0.734673i | \(0.737336\pi\) | |||||||
\(744\) | −68.9349 | + | 57.5623i | −0.0926544 | + | 0.0773687i | ||||
\(745\) | −646.417 | − | 373.209i | −0.867674 | − | 0.500952i | ||||
\(746\) | 182.376 | + | 1274.59i | 0.244472 | + | 1.70857i | ||||
\(747\) | 733.599 | + | 184.706i | 0.982060 | + | 0.247263i | ||||
\(748\) | 62.7680 | + | 34.3846i | 0.0839144 | + | 0.0459687i | ||||
\(749\) | 19.6548 | + | 73.3527i | 0.0262414 | + | 0.0979342i | ||||
\(750\) | 63.1658 | + | 418.809i | 0.0842210 | + | 0.558413i | ||||
\(751\) | −231.066 | − | 400.219i | −0.307678 | − | 0.532915i | 0.670176 | − | 0.742202i | \(-0.266219\pi\) |
−0.977854 | + | 0.209288i | \(0.932885\pi\) | |||||||
\(752\) | 95.3753 | − | 183.776i | 0.126829 | − | 0.244383i | ||||
\(753\) | 57.3743 | − | 220.799i | 0.0761943 | − | 0.293226i | ||||
\(754\) | −16.8246 | − | 39.3630i | −0.0223138 | − | 0.0522055i | ||||
\(755\) | −186.669 | + | 186.669i | −0.247243 | + | 0.247243i | ||||
\(756\) | −179.003 | + | 56.7404i | −0.236777 | + | 0.0750535i | ||||
\(757\) | 860.683 | − | 860.683i | 1.13697 | − | 1.13697i | 0.147974 | − | 0.988991i | \(-0.452725\pi\) |
0.988991 | − | 0.147974i | \(-0.0472751\pi\) | |||||||
\(758\) | −636.206 | − | 255.200i | −0.839322 | − | 0.336675i | ||||
\(759\) | 162.593 | − | 625.723i | 0.214220 | − | 0.824404i | ||||
\(760\) | 1051.75 | − | 174.659i | 1.38388 | − | 0.229815i | ||||
\(761\) | −494.494 | − | 856.489i | −0.649795 | − | 1.12548i | −0.983172 | − | 0.182684i | \(-0.941521\pi\) |
0.333377 | − | 0.942794i | \(-0.391812\pi\) | |||||||
\(762\) | −571.193 | + | 774.092i | −0.749597 | + | 1.01587i | ||||
\(763\) | −55.1939 | − | 205.987i | −0.0723381 | − | 0.269969i | ||||
\(764\) | −840.349 | + | 245.510i | −1.09993 | + | 0.321349i | ||||
\(765\) | 54.4563 | − | 56.1314i | 0.0711847 | − | 0.0733743i | ||||
\(766\) | −338.461 | − | 253.727i | −0.441855 | − | 0.331236i | ||||
\(767\) | −434.640 | − | 250.940i | −0.566675 | − | 0.327170i | ||||
\(768\) | −446.824 | − | 624.637i | −0.581803 | − | 0.813330i | ||||
\(769\) | −341.309 | − | 591.165i | −0.443835 | − | 0.768746i | 0.554135 | − | 0.832427i | \(-0.313049\pi\) |
−0.997970 | + | 0.0636814i | \(0.979716\pi\) | |||||||
\(770\) | 420.683 | + | 50.5883i | 0.546341 | + | 0.0656991i | ||||
\(771\) | −6.00873 | − | 3.40873i | −0.00779343 | − | 0.00442119i | ||||
\(772\) | 128.356 | + | 31.3233i | 0.166264 | + | 0.0405742i | ||||
\(773\) | 510.754 | + | 510.754i | 0.660742 | + | 0.660742i | 0.955555 | − | 0.294813i | \(-0.0952574\pi\) |
−0.294813 | + | 0.955555i | \(0.595257\pi\) | |||||||
\(774\) | 48.1627 | + | 303.719i | 0.0622257 | + | 0.392402i | ||||
\(775\) | − | 127.888i | − | 0.165017i | ||||||
\(776\) | 789.629 | − | 649.274i | 1.01756 | − | 0.836693i | ||||
\(777\) | 188.968 | + | 186.128i | 0.243202 | + | 0.239546i | ||||
\(778\) | 311.014 | + | 396.039i | 0.399760 | + | 0.509047i | ||||
\(779\) | −271.188 | + | 1012.09i | −0.348124 | + | 1.29922i | ||||
\(780\) | 1490.21 | + | 1403.33i | 1.91053 | + | 1.79914i | ||||
\(781\) | 1483.95 | − | 397.623i | 1.90006 | − | 0.509120i | ||||
\(782\) | 24.5938 | + | 18.4368i | 0.0314499 | + | 0.0235764i | ||||
\(783\) | −7.31538 | − | 25.0139i | −0.00934276 | − | 0.0319463i | ||||
\(784\) | −619.929 | + | 396.031i | −0.790725 | + | 0.505141i | ||||
\(785\) | 181.827 | + | 104.978i | 0.231627 | + | 0.133730i | ||||
\(786\) | 664.635 | − | 530.131i | 0.845591 | − | 0.674467i | ||||
\(787\) | −1.84150 | + | 6.87257i | −0.00233990 | + | 0.00873262i | −0.967086 | − | 0.254450i | \(-0.918106\pi\) |
0.964746 | + | 0.263183i | \(0.0847722\pi\) | |||||||
\(788\) | 415.054 | − | 9.31658i | 0.526718 | − | 0.0118231i | ||||
\(789\) | −66.2315 | + | 0.501573i | −0.0839436 | + | 0.000635707i | ||||
\(790\) | 697.854 | − | 1739.73i | 0.883359 | − | 2.20219i | ||||
\(791\) | 249.646 | 0.315608 | ||||||||
\(792\) | −649.285 | + | 937.568i | −0.819804 | + | 1.18380i | ||||
\(793\) | 2185.65i | 2.75618i | ||||||||
\(794\) | 61.0020 | − | 152.077i | 0.0768287 | − | 0.191532i | ||||
\(795\) | 1085.48 | + | 615.791i | 1.36539 | + | 0.774580i | ||||
\(796\) | −880.771 | − | 842.098i | −1.10650 | − | 1.05791i | ||||
\(797\) | 703.157 | + | 188.410i | 0.882254 | + | 0.236399i | 0.671380 | − | 0.741114i | \(-0.265702\pi\) |
0.210875 | + | 0.977513i | \(0.432369\pi\) | |||||||
\(798\) | −168.244 | − | 66.0126i | −0.210832 | − | 0.0827226i | ||||
\(799\) | 7.30889 | − | 12.6594i | 0.00914755 | − | 0.0158440i | ||||
\(800\) | 1090.59 | + | 81.7202i | 1.36324 | + | 0.102150i | ||||
\(801\) | 272.999 | − | 489.834i | 0.340823 | − | 0.611528i | ||||
\(802\) | 450.517 | + | 337.730i | 0.561742 | + | 0.421110i | ||||
\(803\) | 79.9303 | + | 298.304i | 0.0995396 | + | 0.371487i | ||||
\(804\) | 458.175 | − | 851.627i | 0.569869 | − | 1.05924i | ||||
\(805\) | 175.774 | + | 47.0985i | 0.218353 | + | 0.0585074i | ||||
\(806\) | −102.497 | − | 130.518i | −0.127168 | − | 0.161933i | ||||
\(807\) | −958.691 | − | 249.115i | −1.18797 | − | 0.308693i | ||||
\(808\) | 95.1296 | + | 9.27922i | 0.117735 | + | 0.0114842i | ||||
\(809\) | −977.087 | −1.20777 | −0.603886 | − | 0.797071i | \(-0.706382\pi\) | ||||
−0.603886 | + | 0.797071i | \(0.706382\pi\) | |||||||
\(810\) | 799.019 | + | 956.345i | 0.986443 | + | 1.18067i | ||||
\(811\) | 481.721 | − | 481.721i | 0.593984 | − | 0.593984i | −0.344721 | − | 0.938705i | \(-0.612027\pi\) |
0.938705 | + | 0.344721i | \(0.112027\pi\) | |||||||
\(812\) | 3.48619 | + | 5.73697i | 0.00429334 | + | 0.00706523i | ||||
\(813\) | −312.246 | − | 531.489i | −0.384066 | − | 0.653738i | ||||
\(814\) | 1599.35 | + | 192.326i | 1.96480 | + | 0.236273i | ||||
\(815\) | 1548.27 | − | 893.893i | 1.89972 | − | 1.09680i | ||||
\(816\) | −29.5353 | − | 45.4705i | −0.0361952 | − | 0.0557236i | ||||
\(817\) | −147.985 | + | 256.317i | −0.181132 | + | 0.313729i | ||||
\(818\) | −84.2823 | − | 63.1822i | −0.103035 | − | 0.0772399i | ||||
\(819\) | −94.8751 | − | 333.774i | −0.115843 | − | 0.407538i | ||||
\(820\) | −894.116 | + | 1632.18i | −1.09039 | + | 1.99046i | ||||
\(821\) | −443.063 | + | 118.718i | −0.539663 | + | 0.144602i | −0.518347 | − | 0.855170i | \(-0.673452\pi\) |
−0.0213163 | + | 0.999773i | \(0.506786\pi\) | |||||||
\(822\) | −536.971 | − | 1230.43i | −0.653249 | − | 1.49688i | ||||
\(823\) | 113.938 | − | 65.7823i | 0.138443 | − | 0.0799299i | −0.429179 | − | 0.903219i | \(-0.641197\pi\) |
0.567622 | + | 0.823290i | \(0.307864\pi\) | |||||||
\(824\) | 387.715 | − | 64.3862i | 0.470528 | − | 0.0781386i | ||||
\(825\) | −432.192 | − | 1565.44i | −0.523869 | − | 1.89751i | ||||
\(826\) | 73.0473 | + | 29.3012i | 0.0884349 | + | 0.0354736i | ||||
\(827\) | −173.569 | − | 173.569i | −0.209878 | − | 0.209878i | 0.594338 | − | 0.804215i | \(-0.297414\pi\) |
−0.804215 | + | 0.594338i | \(0.797414\pi\) | |||||||
\(828\) | −333.075 | + | 359.105i | −0.402264 | + | 0.433702i | ||||
\(829\) | 700.211 | + | 700.211i | 0.844645 | + | 0.844645i | 0.989459 | − | 0.144814i | \(-0.0462583\pi\) |
−0.144814 | + | 0.989459i | \(0.546258\pi\) | |||||||
\(830\) | 508.264 | + | 1189.14i | 0.612366 | + | 1.43270i | ||||
\(831\) | 347.593 | − | 352.897i | 0.418282 | − | 0.424666i | ||||
\(832\) | 1178.51 | − | 790.665i | 1.41648 | − | 0.950318i | ||||
\(833\) | −44.9774 | + | 25.9677i | −0.0539945 | + | 0.0311738i | ||||
\(834\) | 581.120 | − | 463.517i | 0.696786 | − | 0.555776i | ||||
\(835\) | 169.594 | − | 45.4425i | 0.203106 | − | 0.0544221i | ||||
\(836\) | −1053.58 | + | 307.808i | −1.26027 | + | 0.368191i | ||||
\(837\) | −52.4915 | − | 86.3276i | −0.0627139 | − | 0.103139i | ||||
\(838\) | 144.031 | + | 1006.60i | 0.171874 | + | 1.20120i | ||||
\(839\) | 266.174 | − | 461.026i | 0.317251 | − | 0.549495i | −0.662662 | − | 0.748918i | \(-0.730574\pi\) |
0.979913 | + | 0.199423i | \(0.0639068\pi\) | |||||||
\(840\) | −262.511 | − | 184.751i | −0.312513 | − | 0.219942i | ||||
\(841\) | 727.520 | − | 420.034i | 0.865066 | − | 0.499446i | ||||
\(842\) | 967.043 | − | 759.430i | 1.14851 | − | 0.901935i | ||||
\(843\) | −481.878 | + | 3.64927i | −0.571622 | + | 0.00432891i | ||||
\(844\) | −410.339 | − | 675.265i | −0.486184 | − | 0.800077i | ||||
\(845\) | −1755.38 | + | 1755.38i | −2.07738 | + | 2.07738i | ||||
\(846\) | 188.472 | + | 136.879i | 0.222780 | + | 0.161795i | ||||
\(847\) | −225.838 | −0.266633 | ||||||||
\(848\) | 583.745 | − | 638.651i | 0.688379 | − | 0.753126i | ||||
\(849\) | −104.669 | − | 379.121i | −0.123285 | − | 0.446550i | ||||
\(850\) | 76.6592 | + | 9.21849i | 0.0901872 | + | 0.0108453i | ||||
\(851\) | 668.257 | + | 179.059i | 0.785260 | + | 0.210410i | ||||
\(852\) | −1132.78 | − | 267.364i | −1.32955 | − | 0.313807i | ||||
\(853\) | −172.687 | − | 644.476i | −0.202447 | − | 0.755541i | −0.990213 | − | 0.139566i | \(-0.955429\pi\) |
0.787766 | − | 0.615974i | \(-0.211238\pi\) | |||||||
\(854\) | −48.5489 | − | 339.299i | −0.0568489 | − | 0.397306i | ||||
\(855\) | 18.1654 | + | 1199.28i | 0.0212461 | + | 1.40267i | ||||
\(856\) | −144.503 | − | 318.129i | −0.168812 | − | 0.371646i | ||||
\(857\) | 19.2177 | − | 33.2860i | 0.0224244 | − | 0.0388402i | −0.854595 | − | 0.519294i | \(-0.826195\pi\) |
0.877020 | + | 0.480454i | \(0.159528\pi\) | |||||||
\(858\) | −1695.72 | − | 1251.25i | −1.97637 | − | 1.45834i | ||||
\(859\) | 511.428 | + | 137.037i | 0.595376 | + | 0.159531i | 0.543909 | − | 0.839144i | \(-0.316944\pi\) |
0.0514670 | + | 0.998675i | \(0.483610\pi\) | |||||||
\(860\) | −363.281 | + | 379.965i | −0.422420 | + | 0.441819i | ||||
\(861\) | 272.010 | − | 159.803i | 0.315923 | − | 0.185602i | ||||
\(862\) | −922.249 | + | 394.190i | −1.06989 | + | 0.457297i | ||||
\(863\) | 508.342i | 0.589040i | 0.955645 | + | 0.294520i | \(0.0951598\pi\) | ||||
−0.955645 | + | 0.294520i | \(0.904840\pi\) | |||||||
\(864\) | 769.717 | − | 392.468i | 0.890877 | − | 0.454245i | ||||
\(865\) | −895.571 | −1.03534 | ||||||||
\(866\) | −414.425 | − | 969.591i | −0.478550 | − | 1.11962i | ||||
\(867\) | 437.235 | + | 744.239i | 0.504307 | + | 0.858407i | ||||
\(868\) | 18.8108 | + | 17.9848i | 0.0216714 | + | 0.0207198i | ||||
\(869\) | −499.473 | + | 1864.06i | −0.574768 | + | 2.14506i | ||||
\(870\) | 26.4523 | − | 35.8487i | 0.0304050 | − | 0.0412054i | ||||
\(871\) | 1547.59 | + | 893.499i | 1.77679 | + | 1.02583i | ||||
\(872\) | 405.788 | + | 893.359i | 0.465353 | + | 1.02449i | ||||
\(873\) | 590.055 | + | 987.169i | 0.675893 | + | 1.13078i | ||||
\(874\) | −466.651 | + | 66.7711i | −0.533925 | + | 0.0763971i | ||||
\(875\) | 118.555 | − | 31.7668i | 0.135492 | − | 0.0363049i | ||||
\(876\) | 53.7457 | − | 227.711i | 0.0613535 | − | 0.259944i | ||||
\(877\) | −327.951 | + | 1223.93i | −0.373946 | + | 1.39559i | 0.480933 | + | 0.876757i | \(0.340298\pi\) |
−0.854879 | + | 0.518828i | \(0.826369\pi\) | |||||||
\(878\) | −192.393 | + | 1599.90i | −0.219126 | + | 1.82221i | ||||
\(879\) | 1201.84 | − | 331.806i | 1.36728 | − | 0.377481i | ||||
\(880\) | −1947.59 | + | 87.4778i | −2.21317 | + | 0.0994066i | ||||
\(881\) | 162.295i | 0.184217i | 0.995749 | + | 0.0921086i | \(0.0293607\pi\) | ||||
−0.995749 | + | 0.0921086i | \(0.970639\pi\) | |||||||
\(882\) | −336.750 | − | 755.972i | −0.381803 | − | 0.857112i | ||||
\(883\) | −1046.26 | − | 1046.26i | −1.18489 | − | 1.18489i | −0.978462 | − | 0.206427i | \(-0.933816\pi\) |
−0.206427 | − | 0.978462i | \(-0.566184\pi\) | |||||||
\(884\) | 85.6240 | − | 52.0313i | 0.0968597 | − | 0.0588589i | ||||
\(885\) | −3.95546 | − | 522.309i | −0.00446944 | − | 0.590180i | ||||
\(886\) | −900.001 | − | 1146.04i | −1.01580 | − | 1.29350i | ||||
\(887\) | −792.245 | − | 1372.21i | −0.893174 | − | 1.54702i | −0.836048 | − | 0.548656i | \(-0.815140\pi\) |
−0.0571260 | − | 0.998367i | \(-0.518194\pi\) | |||||||
\(888\) | −998.013 | − | 702.386i | −1.12389 | − | 0.790975i | ||||
\(889\) | 241.430 | + | 139.389i | 0.271574 | + | 0.156793i | ||||
\(890\) | 948.960 | − | 135.783i | 1.06625 | − | 0.152565i | ||||
\(891\) | −934.276 | − | 879.322i | −1.04857 | − | 0.986894i | ||||
\(892\) | 106.124 | + | 363.248i | 0.118973 | + | 0.407229i | ||||
\(893\) | 58.0240 | + | 216.548i | 0.0649764 | + | 0.242495i | ||||
\(894\) | −363.028 | − | 455.134i | −0.406071 | − | 0.509099i | ||||
\(895\) | 1196.75 | + | 2072.82i | 1.33715 | + | 2.31601i | ||||
\(896\) | −165.389 | + | 148.920i | −0.184586 | + | 0.166205i | ||||
\(897\) | −644.813 | − | 635.120i | −0.718855 | − | 0.708049i | ||||
\(898\) | −1209.19 | + | 516.834i | −1.34653 | + | 0.575539i | ||||
\(899\) | −2.55403 | + | 2.55403i | −0.00284097 | + | 0.00284097i | ||||
\(900\) | −273.553 | + | 1199.56i | −0.303948 | + | 1.33284i | ||||
\(901\) | 43.1941 | − | 43.1941i | 0.0479402 | − | 0.0479402i | ||||
\(902\) | 713.304 | − | 1778.25i | 0.790803 | − | 1.97145i | ||||
\(903\) | 85.8994 | − | 23.7153i | 0.0951267 | − | 0.0262628i | ||||
\(904\) | −1133.13 | + | 188.174i | −1.25346 | + | 0.208157i | ||||
\(905\) | −149.210 | − | 258.440i | −0.164873 | − | 0.285569i | ||||
\(906\) | −188.715 | + | 82.3569i | −0.208295 | + | 0.0909016i | ||||
\(907\) | 255.553 | + | 953.736i | 0.281756 | + | 1.05153i | 0.951177 | + | 0.308645i | \(0.0998756\pi\) |
−0.669421 | + | 0.742883i | \(0.733458\pi\) | |||||||
\(908\) | −1140.68 | − | 624.870i | −1.25626 | − | 0.688183i | ||||
\(909\) | −26.2542 | + | 104.274i | −0.0288825 | + | 0.114713i | ||||
\(910\) | 355.802 | − | 474.624i | 0.390991 | − | 0.521565i | ||||
\(911\) | −935.341 | − | 540.020i | −1.02672 | − | 0.592777i | −0.110676 | − | 0.993857i | \(-0.535302\pi\) |
−0.916043 | + | 0.401080i | \(0.868635\pi\) | |||||||
\(912\) | 813.409 | + | 172.811i | 0.891896 | + | 0.189486i | ||||
\(913\) | −665.692 | − | 1153.01i | −0.729126 | − | 1.26288i | ||||
\(914\) | −194.865 | + | 1620.46i | −0.213200 | + | 1.77293i | ||||
\(915\) | −1961.27 | + | 1152.23i | −2.14347 | + | 1.25927i | ||||
\(916\) | 345.367 | − | 209.870i | 0.377038 | − | 0.229115i | ||||
\(917\) | −174.206 | − | 174.206i | −0.189974 | − | 0.189974i | ||||
\(918\) | 55.5306 | − | 25.2420i | 0.0604908 | − | 0.0274967i | ||||
\(919\) | − | 90.0207i | − | 0.0979551i | −0.998800 | − | 0.0489775i | \(-0.984404\pi\) | ||
0.998800 | − | 0.0489775i | \(-0.0155963\pi\) | |||||||
\(920\) | −833.330 | − | 81.2854i | −0.905793 | − | 0.0883537i | ||||
\(921\) | −109.897 | + | 422.925i | −0.119323 | + | 0.459202i | ||||
\(922\) | 1004.27 | − | 788.668i | 1.08924 | − | 0.855388i | ||||
\(923\) | 556.654 | − | 2077.46i | 0.603092 | − | 2.25077i | ||||
\(924\) | 291.037 | + | 156.578i | 0.314975 | + | 0.169456i | ||||
\(925\) | 1678.66 | − | 449.794i | 1.81476 | − | 0.486264i | ||||
\(926\) | −93.5546 | + | 124.798i | −0.101031 | + | 0.134771i | ||||
\(927\) | 6.69648 | + | 442.102i | 0.00722382 | + | 0.476917i | ||||
\(928\) | −20.1480 | − | 23.4120i | −0.0217112 | − | 0.0252285i | ||||
\(929\) | −454.545 | − | 262.432i | −0.489284 | − | 0.282488i | 0.234993 | − | 0.971997i | \(-0.424493\pi\) |
−0.724277 | + | 0.689509i | \(0.757827\pi\) | |||||||
\(930\) | 63.0845 | − | 160.781i | 0.0678328 | − | 0.172883i | ||||
\(931\) | 206.153 | − | 769.374i | 0.221432 | − | 0.826395i | ||||
\(932\) | −169.936 | + | 177.741i | −0.182335 | + | 0.190709i | ||||
\(933\) | 198.164 | − | 349.313i | 0.212395 | − | 0.374397i | ||||
\(934\) | −1492.68 | − | 598.755i | −1.59816 | − | 0.641066i | ||||
\(935\) | −137.638 | −0.147207 | ||||||||
\(936\) | 682.220 | + | 1443.47i | 0.728868 | + | 1.54217i | ||||
\(937\) | 700.426i | 0.747520i | 0.927525 | + | 0.373760i | \(0.121932\pi\) | ||||
−0.927525 | + | 0.373760i | \(0.878068\pi\) | |||||||
\(938\) | −260.093 | − | 104.330i | −0.277285 | − | 0.111226i | ||||
\(939\) | 6.22598 | + | 822.127i | 0.00663044 | + | 0.875534i | ||||
\(940\) | 8.93581 | + | 398.091i | 0.00950618 | + | 0.423501i | ||||
\(941\) | −538.990 | − | 144.422i | −0.572784 | − | 0.153477i | −0.0392110 | − | 0.999231i | \(-0.512484\pi\) |
−0.533573 | + | 0.845754i | \(0.679151\pi\) | |||||||
\(942\) | 102.114 | + | 128.022i | 0.108401 | + | 0.135904i | ||||
\(943\) | 411.433 | − | 712.623i | 0.436302 | − | 0.755698i | ||||
\(944\) | −353.644 | − | 77.9364i | −0.374623 | − | 0.0825597i | ||||
\(945\) | 249.492 | − | 261.094i | 0.264013 | − | 0.276290i | ||||
\(946\) | 324.627 | − | 433.038i | 0.343157 | − | 0.457756i | ||||
\(947\) | 244.123 | + | 911.078i | 0.257785 | + | 0.962068i | 0.966520 | + | 0.256593i | \(0.0825998\pi\) |
−0.708734 | + | 0.705476i | \(0.750733\pi\) | |||||||
\(948\) | 1002.32 | − | 1064.37i | 1.05730 | − | 1.12276i | ||||
\(949\) | 417.612 | + | 111.899i | 0.440055 | + | 0.117912i | ||||
\(950\) | −931.311 | + | 731.369i | −0.980327 | + | 0.769862i | ||||
\(951\) | 757.842 | − | 769.408i | 0.796890 | − | 0.809051i | ||||
\(952\) | −12.1365 | + | 9.97924i | −0.0127484 | + | 0.0104824i | ||||
\(953\) | 454.742 | 0.477169 | 0.238584 | − | 0.971122i | \(-0.423317\pi\) | ||||
0.238584 | + | 0.971122i | \(0.423317\pi\) | |||||||
\(954\) | 612.716 | + | 756.352i | 0.642260 | + | 0.792822i | ||||
\(955\) | 1190.54 | − | 1190.54i | 1.24664 | − | 1.24664i | ||||
\(956\) | 173.535 | − | 711.109i | 0.181522 | − | 0.743838i | ||||
\(957\) | −22.6320 | + | 39.8945i | −0.0236489 | + | 0.0416870i | ||||
\(958\) | −193.415 | + | 1608.40i | −0.201894 | + | 1.67891i | ||||
\(959\) | −336.915 | + | 194.518i | −0.351320 | + | 0.202834i | ||||
\(960\) | 1330.78 | + | 640.704i | 1.38623 | + | 0.667400i | ||||
\(961\) | 473.499 | − | 820.124i | 0.492715 | − | 0.853407i | ||||
\(962\) | 1352.69 | − | 1804.42i | 1.40612 | − | 1.87570i | ||||
\(963\) | 378.107 | − | 107.477i | 0.392635 | − | 0.111606i | ||||
\(964\) | −19.3645 | − | 66.2820i | −0.0200877 | − | 0.0687573i | ||||
\(965\) | −245.434 | + | 65.7639i | −0.254336 | + | 0.0681491i | ||||
\(966\) | 114.208 | + | 84.2727i | 0.118228 | + | 0.0872388i | ||||
\(967\) | 148.487 | − | 85.7291i | 0.153554 | − | 0.0886547i | −0.421254 | − | 0.906943i | \(-0.638410\pi\) |
0.574808 | + | 0.818288i | \(0.305077\pi\) | |||||||
\(968\) | 1025.07 | − | 170.229i | 1.05895 | − | 0.175856i | ||||
\(969\) | 56.8214 | + | 14.7650i | 0.0586392 | + | 0.0152373i | ||||
\(970\) | −731.933 | + | 1824.69i | −0.754570 | + | 1.88112i | ||||
\(971\) | 840.268 | + | 840.268i | 0.865364 | + | 0.865364i | 0.991955 | − | 0.126591i | \(-0.0404036\pi\) |
−0.126591 | + | 0.991955i | \(0.540404\pi\) | |||||||
\(972\) | 307.702 | + | 922.011i | 0.316566 | + | 0.948571i | ||||
\(973\) | −152.316 | − | 152.316i | −0.156543 | − | 0.156543i | ||||
\(974\) | −1442.07 | + | 616.371i | −1.48056 | + | 0.632825i | ||||
\(975\) | −2200.47 | − | 571.789i | −2.25689 | − | 0.586450i | ||||
\(976\) | 476.113 | + | 1503.47i | 0.487821 | + | 1.54044i | ||||
\(977\) | −951.784 | + | 549.513i | −0.974191 | + | 0.562449i | −0.900511 | − | 0.434833i | \(-0.856807\pi\) |
−0.0736794 | + | 0.997282i | \(0.523474\pi\) | |||||||
\(978\) | 1378.82 | − | 207.957i | 1.40984 | − | 0.212635i | ||||
\(979\) | −953.297 | + | 255.435i | −0.973746 | + | 0.260914i | ||||
\(980\) | 679.693 | − | 1240.76i | 0.693564 | − | 1.26608i | ||||
\(981\) | −1061.79 | + | 301.813i | −1.08235 | + | 0.307659i | ||||
\(982\) | −213.422 | + | 30.5376i | −0.217334 | + | 0.0310974i | ||||
\(983\) | 91.7915 | − | 158.988i | 0.0933789 | − | 0.161737i | −0.815552 | − | 0.578684i | \(-0.803567\pi\) |
0.908931 | + | 0.416947i | \(0.136900\pi\) | |||||||
\(984\) | −1114.18 | + | 930.371i | −1.13230 | + | 0.945499i | ||||
\(985\) | −691.447 | + | 399.207i | −0.701977 | + | 0.405287i | ||||
\(986\) | −1.34685 | − | 1.71505i | −0.00136597 | − | 0.00173940i | ||||
\(987\) | 33.3065 | − | 58.7109i | 0.0337452 | − | 0.0594842i | ||||
\(988\) | −364.300 | + | 1492.82i | −0.368725 | + | 1.51095i | ||||
\(989\) | 164.356 | − | 164.356i | 0.166184 | − | 0.166184i | ||||
\(990\) | 228.848 | − | 2181.27i | 0.231160 | − | 2.20331i | ||||
\(991\) | 14.9447 | 0.0150804 | 0.00754022 | − | 0.999972i | \(-0.497600\pi\) | ||||
0.00754022 | + | 0.999972i | \(0.497600\pi\) | |||||||
\(992\) | −98.9374 | − | 67.4533i | −0.0997353 | − | 0.0679973i | ||||
\(993\) | −560.644 | + | 569.200i | −0.564596 | + | 0.573212i | ||||
\(994\) | −40.2689 | + | 334.869i | −0.0405120 | + | 0.336890i | ||||
\(995\) | 2263.63 | + | 606.537i | 2.27500 | + | 0.609585i | ||||
\(996\) | 30.2711 | + | 1008.20i | 0.0303927 | + | 1.01225i | ||||
\(997\) | 325.325 | + | 1214.13i | 0.326304 | + | 1.21778i | 0.912995 | + | 0.407971i | \(0.133764\pi\) |
−0.586691 | + | 0.809811i | \(0.699570\pi\) | |||||||
\(998\) | −98.2357 | + | 14.0561i | −0.0984326 | + | 0.0140843i | ||||
\(999\) | 948.518 | − | 992.625i | 0.949467 | − | 0.993619i |
(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 | 144.3.w.a.29.17 | yes | 184 | |
3.2 | odd | 2 | 432.3.x.a.413.30 | 184 | |||
9.4 | even | 3 | 432.3.x.a.125.45 | 184 | |||
9.5 | odd | 6 | inner | 144.3.w.a.77.2 | yes | 184 | |
16.5 | even | 4 | inner | 144.3.w.a.101.2 | yes | 184 | |
48.5 | odd | 4 | 432.3.x.a.197.45 | 184 | |||
144.5 | odd | 12 | inner | 144.3.w.a.5.17 | ✓ | 184 | |
144.85 | even | 12 | 432.3.x.a.341.30 | 184 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.3.w.a.5.17 | ✓ | 184 | 144.5 | odd | 12 | inner | |
144.3.w.a.29.17 | yes | 184 | 1.1 | even | 1 | trivial | |
144.3.w.a.77.2 | yes | 184 | 9.5 | odd | 6 | inner | |
144.3.w.a.101.2 | yes | 184 | 16.5 | even | 4 | inner | |
432.3.x.a.125.45 | 184 | 9.4 | even | 3 | |||
432.3.x.a.197.45 | 184 | 48.5 | odd | 4 | |||
432.3.x.a.341.30 | 184 | 144.85 | even | 12 | |||
432.3.x.a.413.30 | 184 | 3.2 | odd | 2 |