Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,3,Mod(10,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 7]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.10");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.g (of order \(58\), degree \(28\), 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: | \(560\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 124.19 | ||
Character | \(\chi\) | \(=\) | 177.124 |
Dual form | 177.3.g.a.10.19 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{51}{58}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 3.27139 | − | 1.30344i | 1.63570 | − | 0.651721i | 0.642299 | − | 0.766454i | \(-0.277981\pi\) |
0.993396 | + | 0.114733i | \(0.0366013\pi\) | |||||||
\(3\) | −1.72190 | + | 0.187268i | −0.573966 | + | 0.0624225i | ||||
\(4\) | 6.09906 | − | 5.77734i | 1.52476 | − | 1.44433i | ||||
\(5\) | −5.84142 | − | 6.87706i | −1.16828 | − | 1.37541i | −0.912703 | − | 0.408624i | \(-0.866009\pi\) |
−0.255582 | − | 0.966787i | \(-0.582267\pi\) | |||||||
\(6\) | −5.38891 | + | 2.85702i | −0.898151 | + | 0.476170i | ||||
\(7\) | −0.280020 | + | 0.168482i | −0.0400028 | + | 0.0240689i | −0.535415 | − | 0.844589i | \(-0.679845\pi\) |
0.495412 | + | 0.868658i | \(0.335017\pi\) | |||||||
\(8\) | 6.50743 | − | 14.0656i | 0.813429 | − | 1.75820i | ||||
\(9\) | 2.92986 | − | 0.644911i | 0.325540 | − | 0.0716568i | ||||
\(10\) | −28.0734 | − | 14.8836i | −2.80734 | − | 1.48836i | ||||
\(11\) | 5.71778 | − | 0.310009i | 0.519798 | − | 0.0281827i | 0.207626 | − | 0.978208i | \(-0.433426\pi\) |
0.312172 | + | 0.950026i | \(0.398943\pi\) | |||||||
\(12\) | −9.42005 | + | 11.0901i | −0.785004 | + | 0.924178i | ||||
\(13\) | 0.0412895 | − | 0.187580i | 0.00317612 | − | 0.0144292i | −0.975006 | − | 0.222179i | \(-0.928683\pi\) |
0.978182 | + | 0.207750i | \(0.0666140\pi\) | |||||||
\(14\) | −0.696448 | + | 0.916161i | −0.0497463 | + | 0.0654401i | ||||
\(15\) | 11.3462 | + | 10.7477i | 0.756412 | + | 0.716512i | ||||
\(16\) | 1.13542 | − | 20.9415i | 0.0709635 | − | 1.30885i | ||||
\(17\) | 23.2666 | + | 13.9990i | 1.36862 | + | 0.823472i | 0.994583 | − | 0.103942i | \(-0.0331455\pi\) |
0.374038 | + | 0.927414i | \(0.377973\pi\) | |||||||
\(18\) | 8.74412 | − | 5.92866i | 0.485784 | − | 0.329370i | ||||
\(19\) | −7.91732 | − | 28.5156i | −0.416701 | − | 1.50082i | −0.812761 | − | 0.582597i | \(-0.802037\pi\) |
0.396060 | − | 0.918224i | \(-0.370377\pi\) | |||||||
\(20\) | −75.3583 | − | 8.19570i | −3.76791 | − | 0.409785i | ||||
\(21\) | 0.450614 | − | 0.342548i | 0.0214578 | − | 0.0163118i | ||||
\(22\) | 18.3010 | − | 8.46696i | 0.831865 | − | 0.384862i | ||||
\(23\) | 24.1397 | + | 16.3671i | 1.04955 | + | 0.711615i | 0.958749 | − | 0.284254i | \(-0.0917460\pi\) |
0.0908041 | + | 0.995869i | \(0.471056\pi\) | |||||||
\(24\) | −8.57110 | + | 25.4381i | −0.357129 | + | 1.05992i | ||||
\(25\) | −9.12712 | + | 55.6729i | −0.365085 | + | 2.22692i | ||||
\(26\) | −0.109426 | − | 0.667466i | −0.00420868 | − | 0.0256718i | ||||
\(27\) | −4.92415 | + | 1.65914i | −0.182376 | + | 0.0614496i | ||||
\(28\) | −0.734479 | + | 2.64535i | −0.0262314 | + | 0.0944769i | ||||
\(29\) | 14.1671 | − | 35.5567i | 0.488521 | − | 1.22609i | −0.453716 | − | 0.891146i | \(-0.649902\pi\) |
0.942237 | − | 0.334948i | \(-0.108719\pi\) | |||||||
\(30\) | 51.1268 | + | 20.3708i | 1.70423 | + | 0.679026i | ||||
\(31\) | 0.724865 | + | 0.201258i | 0.0233828 | + | 0.00649219i | 0.279200 | − | 0.960233i | \(-0.409931\pi\) |
−0.255817 | + | 0.966725i | \(0.582345\pi\) | |||||||
\(32\) | −3.78755 | − | 11.2411i | −0.118361 | − | 0.351283i | ||||
\(33\) | −9.78738 | + | 1.60456i | −0.296587 | + | 0.0486230i | ||||
\(34\) | 94.3609 | + | 15.4697i | 2.77532 | + | 0.454991i | ||||
\(35\) | 2.79438 | + | 0.941536i | 0.0798394 | + | 0.0269010i | ||||
\(36\) | 14.1435 | − | 20.8601i | 0.392876 | − | 0.579449i | ||||
\(37\) | 13.8200 | + | 29.8715i | 0.373514 | + | 0.807338i | 0.999619 | + | 0.0275990i | \(0.00878616\pi\) |
−0.626105 | + | 0.779739i | \(0.715352\pi\) | |||||||
\(38\) | −63.0691 | − | 82.9659i | −1.65971 | − | 2.18331i | ||||
\(39\) | −0.0359686 | + | 0.330726i | −0.000922272 | + | 0.00848015i | ||||
\(40\) | −134.742 | + | 37.4111i | −3.36856 | + | 0.935277i | ||||
\(41\) | −3.61368 | − | 5.32977i | −0.0881384 | − | 0.129994i | 0.781064 | − | 0.624451i | \(-0.214677\pi\) |
−0.869202 | + | 0.494457i | \(0.835367\pi\) | |||||||
\(42\) | 1.02764 | − | 1.70796i | 0.0244677 | − | 0.0406657i | ||||
\(43\) | −64.4827 | − | 3.49615i | −1.49960 | − | 0.0813058i | −0.714044 | − | 0.700101i | \(-0.753138\pi\) |
−0.785553 | + | 0.618795i | \(0.787621\pi\) | |||||||
\(44\) | 33.0821 | − | 34.9243i | 0.751865 | − | 0.793734i | ||||
\(45\) | −21.5497 | − | 16.3816i | −0.478881 | − | 0.364036i | ||||
\(46\) | 100.304 | + | 22.0786i | 2.18052 | + | 0.479969i | ||||
\(47\) | 16.2465 | + | 13.7999i | 0.345670 | + | 0.293615i | 0.803356 | − | 0.595499i | \(-0.203046\pi\) |
−0.457686 | + | 0.889114i | \(0.651322\pi\) | |||||||
\(48\) | 1.96660 | + | 36.2718i | 0.0409708 | + | 0.755662i | ||||
\(49\) | −22.9020 | + | 43.1977i | −0.467388 | + | 0.881586i | ||||
\(50\) | 42.7081 | + | 194.025i | 0.854161 | + | 3.88049i | ||||
\(51\) | −42.6842 | − | 19.7478i | −0.836945 | − | 0.387212i | ||||
\(52\) | −0.831886 | − | 1.38261i | −0.0159978 | − | 0.0265886i | ||||
\(53\) | 24.2810 | + | 45.7989i | 0.458132 | + | 0.864130i | 0.999724 | + | 0.0234878i | \(0.00747709\pi\) |
−0.541592 | + | 0.840642i | \(0.682178\pi\) | |||||||
\(54\) | −13.9462 | + | 11.8460i | −0.258264 | + | 0.219371i | ||||
\(55\) | −35.5319 | − | 37.5106i | −0.646035 | − | 0.682011i | ||||
\(56\) | 0.547593 | + | 5.03503i | 0.00977844 | + | 0.0899113i | ||||
\(57\) | 18.9729 | + | 47.6183i | 0.332857 | + | 0.835409i | ||||
\(58\) | − | 134.786i | − | 2.32390i | ||||||
\(59\) | −48.5801 | − | 33.4810i | −0.823391 | − | 0.567474i | ||||
\(60\) | 131.294 | 2.18823 | ||||||||
\(61\) | −64.0342 | + | 25.5136i | −1.04974 | + | 0.418255i | −0.830269 | − | 0.557364i | \(-0.811813\pi\) |
−0.219473 | + | 0.975619i | \(0.570434\pi\) | |||||||
\(62\) | 2.63365 | − | 0.286426i | 0.0424782 | − | 0.00461978i | ||||
\(63\) | −0.711764 | + | 0.674218i | −0.0112978 | + | 0.0107019i | ||||
\(64\) | 27.2661 | + | 32.1001i | 0.426032 | + | 0.501564i | ||||
\(65\) | −1.53119 | + | 0.811785i | −0.0235568 | + | 0.0124890i | ||||
\(66\) | −29.9269 | + | 18.0064i | −0.453438 | + | 0.272825i | ||||
\(67\) | 21.6645 | − | 46.8271i | 0.323351 | − | 0.698912i | −0.675924 | − | 0.736971i | \(-0.736255\pi\) |
0.999275 | + | 0.0380590i | \(0.0121175\pi\) | |||||||
\(68\) | 222.781 | − | 49.0378i | 3.27619 | − | 0.721145i | ||||
\(69\) | −44.6312 | − | 23.6619i | −0.646828 | − | 0.342927i | ||||
\(70\) | 10.3687 | − | 0.562177i | 0.148125 | − | 0.00803110i | ||||
\(71\) | 14.8670 | − | 17.5028i | 0.209395 | − | 0.246519i | −0.647432 | − | 0.762123i | \(-0.724157\pi\) |
0.856826 | + | 0.515605i | \(0.172433\pi\) | |||||||
\(72\) | 9.99482 | − | 45.4069i | 0.138817 | − | 0.630652i | ||||
\(73\) | 82.4025 | − | 108.399i | 1.12880 | − | 1.48491i | 0.277132 | − | 0.960832i | \(-0.410616\pi\) |
0.851669 | − | 0.524081i | \(-0.175591\pi\) | |||||||
\(74\) | 84.1465 | + | 79.7078i | 1.13711 | + | 1.07713i | ||||
\(75\) | 5.29022 | − | 97.5723i | 0.0705362 | − | 1.30096i | ||||
\(76\) | −213.032 | − | 128.177i | −2.80306 | − | 1.68654i | ||||
\(77\) | −1.54886 | + | 1.05015i | −0.0201151 | + | 0.0136384i | ||||
\(78\) | 0.313414 | + | 1.12882i | 0.00401813 | + | 0.0144720i | ||||
\(79\) | 58.9595 | + | 6.41223i | 0.746323 | + | 0.0811675i | 0.473375 | − | 0.880861i | \(-0.343036\pi\) |
0.272948 | + | 0.962029i | \(0.412001\pi\) | |||||||
\(80\) | −150.649 | + | 114.520i | −1.88311 | + | 1.43150i | ||||
\(81\) | 8.16818 | − | 3.77900i | 0.100842 | − | 0.0466543i | ||||
\(82\) | −18.7688 | − | 12.7256i | −0.228888 | − | 0.155190i | ||||
\(83\) | −1.43379 | + | 4.25534i | −0.0172746 | + | 0.0512692i | −0.955944 | − | 0.293550i | \(-0.905163\pi\) |
0.938669 | + | 0.344819i | \(0.112060\pi\) | |||||||
\(84\) | 0.769308 | − | 4.69257i | 0.00915843 | − | 0.0558639i | ||||
\(85\) | −39.6378 | − | 241.780i | −0.466327 | − | 2.84447i | ||||
\(86\) | −215.505 | + | 72.6121i | −2.50587 | + | 0.844327i | ||||
\(87\) | −17.7357 | + | 63.8781i | −0.203858 | + | 0.734231i | ||||
\(88\) | 32.8476 | − | 82.4413i | 0.373269 | − | 0.936833i | ||||
\(89\) | 88.8878 | + | 35.4161i | 0.998739 | + | 0.397934i | 0.811482 | − | 0.584377i | \(-0.198661\pi\) |
0.187257 | + | 0.982311i | \(0.440040\pi\) | |||||||
\(90\) | −91.8498 | − | 25.5020i | −1.02055 | − | 0.283355i | ||||
\(91\) | 0.0200421 | + | 0.0594827i | 0.000220243 | + | 0.000653656i | ||||
\(92\) | 241.788 | − | 39.6391i | 2.62813 | − | 0.430860i | ||||
\(93\) | −1.28583 | − | 0.210802i | −0.0138262 | − | 0.00226668i | ||||
\(94\) | 71.1360 | + | 23.9685i | 0.756766 | + | 0.254984i | ||||
\(95\) | −149.855 | + | 221.020i | −1.57742 | + | 2.32652i | ||||
\(96\) | 8.62686 | + | 18.6467i | 0.0898631 | + | 0.194236i | ||||
\(97\) | −37.5419 | − | 49.3855i | −0.387029 | − | 0.509128i | 0.560780 | − | 0.827965i | \(-0.310501\pi\) |
−0.947810 | + | 0.318836i | \(0.896708\pi\) | |||||||
\(98\) | −18.6157 | + | 171.168i | −0.189956 | + | 1.74661i | ||||
\(99\) | 16.5524 | − | 4.59575i | 0.167196 | − | 0.0464217i | ||||
\(100\) | 265.974 | + | 392.283i | 2.65974 | + | 3.92283i | ||||
\(101\) | −44.4784 | + | 73.9237i | −0.440380 | + | 0.731917i | −0.994966 | − | 0.100209i | \(-0.968049\pi\) |
0.554586 | + | 0.832126i | \(0.312877\pi\) | |||||||
\(102\) | −165.377 | − | 8.96647i | −1.62134 | − | 0.0879066i | ||||
\(103\) | −94.8225 | + | 100.103i | −0.920606 | + | 0.971872i | −0.999688 | − | 0.0249959i | \(-0.992043\pi\) |
0.0790812 | + | 0.996868i | \(0.474801\pi\) | |||||||
\(104\) | −2.36974 | − | 1.80143i | −0.0227859 | − | 0.0173214i | ||||
\(105\) | −4.98795 | − | 1.09793i | −0.0475043 | − | 0.0104565i | ||||
\(106\) | 139.129 | + | 118.177i | 1.31254 | + | 1.11488i | ||||
\(107\) | −3.27876 | − | 60.4732i | −0.0306426 | − | 0.565170i | −0.973035 | − | 0.230659i | \(-0.925912\pi\) |
0.942392 | − | 0.334511i | \(-0.108571\pi\) | |||||||
\(108\) | −20.4473 | + | 38.5677i | −0.189327 | + | 0.357108i | ||||
\(109\) | 25.4469 | + | 115.607i | 0.233458 | + | 1.06061i | 0.936829 | + | 0.349788i | \(0.113746\pi\) |
−0.703371 | + | 0.710823i | \(0.748323\pi\) | |||||||
\(110\) | −165.132 | − | 76.3981i | −1.50120 | − | 0.694528i | ||||
\(111\) | −29.3906 | − | 48.8476i | −0.264781 | − | 0.440069i | ||||
\(112\) | 3.21034 | + | 6.05534i | 0.0286638 | + | 0.0540656i | ||||
\(113\) | 65.4288 | − | 55.5757i | 0.579016 | − | 0.491821i | −0.309355 | − | 0.950947i | \(-0.600113\pi\) |
0.888371 | + | 0.459126i | \(0.151837\pi\) | |||||||
\(114\) | 124.135 | + | 131.048i | 1.08891 | + | 1.14954i | ||||
\(115\) | −28.4526 | − | 261.618i | −0.247414 | − | 2.27494i | ||||
\(116\) | −119.017 | − | 298.711i | −1.02601 | − | 2.57509i | ||||
\(117\) | − | 0.576212i | − | 0.00492489i | ||||||
\(118\) | −202.565 | − | 46.2082i | −1.71665 | − | 0.391595i | ||||
\(119\) | −8.87369 | −0.0745688 | ||||||||
\(120\) | 225.007 | − | 89.6509i | 1.87506 | − | 0.747091i | ||||
\(121\) | −87.6938 | + | 9.53727i | −0.724742 | + | 0.0788204i | ||||
\(122\) | −176.226 | + | 166.930i | −1.44447 | + | 1.36828i | ||||
\(123\) | 7.22047 | + | 8.50060i | 0.0587030 | + | 0.0691105i | ||||
\(124\) | 5.58373 | − | 2.96031i | 0.0450301 | − | 0.0238734i | ||||
\(125\) | 242.894 | − | 146.144i | 1.94315 | − | 1.16916i | ||||
\(126\) | −1.44965 | + | 3.13337i | −0.0115052 | + | 0.0248680i | ||||
\(127\) | −84.6184 | + | 18.6259i | −0.666286 | + | 0.146661i | −0.535220 | − | 0.844713i | \(-0.679771\pi\) |
−0.131067 | + | 0.991374i | \(0.541840\pi\) | |||||||
\(128\) | 172.959 | + | 91.6973i | 1.35125 | + | 0.716385i | ||||
\(129\) | 111.687 | − | 6.05551i | 0.865793 | − | 0.0469419i | ||||
\(130\) | −3.95100 | + | 4.65148i | −0.0303923 | + | 0.0357806i | ||||
\(131\) | −36.6879 | + | 166.675i | −0.280061 | + | 1.27233i | 0.600971 | + | 0.799271i | \(0.294781\pi\) |
−0.881032 | + | 0.473057i | \(0.843150\pi\) | |||||||
\(132\) | −50.4237 | + | 66.3313i | −0.381998 | + | 0.502510i | ||||
\(133\) | 7.02138 | + | 6.65101i | 0.0527924 | + | 0.0500076i | ||||
\(134\) | 9.83675 | − | 181.428i | 0.0734086 | − | 1.35394i | ||||
\(135\) | 40.1740 | + | 24.1719i | 0.297586 | + | 0.179051i | ||||
\(136\) | 348.310 | − | 236.160i | 2.56110 | − | 1.73647i | ||||
\(137\) | −60.8123 | − | 219.026i | −0.443885 | − | 1.59873i | −0.759943 | − | 0.649990i | \(-0.774773\pi\) |
0.316058 | − | 0.948740i | \(-0.397641\pi\) | |||||||
\(138\) | −176.848 | − | 19.2334i | −1.28151 | − | 0.139372i | ||||
\(139\) | −131.334 | + | 99.8374i | −0.944848 | + | 0.718255i | −0.959521 | − | 0.281637i | \(-0.909122\pi\) |
0.0146728 | + | 0.999892i | \(0.495329\pi\) | |||||||
\(140\) | 22.4826 | − | 10.4016i | 0.160590 | − | 0.0742970i | ||||
\(141\) | −30.5591 | − | 20.7196i | −0.216731 | − | 0.146947i | ||||
\(142\) | 25.8220 | − | 76.6369i | 0.181845 | − | 0.539696i | ||||
\(143\) | 0.177933 | − | 1.08534i | 0.00124429 | − | 0.00758981i | ||||
\(144\) | −10.1788 | − | 62.0880i | −0.0706862 | − | 0.431167i | ||||
\(145\) | −327.282 | + | 110.274i | −2.25712 | + | 0.760511i | ||||
\(146\) | 128.280 | − | 462.021i | 0.878627 | − | 3.16453i | ||||
\(147\) | 31.3453 | − | 78.6709i | 0.213234 | − | 0.535176i | ||||
\(148\) | 256.867 | + | 102.345i | 1.73559 | + | 0.691521i | ||||
\(149\) | 57.8101 | + | 16.0509i | 0.387987 | + | 0.107724i | 0.456044 | − | 0.889957i | \(-0.349266\pi\) |
−0.0680564 | + | 0.997681i | \(0.521680\pi\) | |||||||
\(150\) | −109.873 | − | 326.093i | −0.732490 | − | 2.17395i | ||||
\(151\) | −152.781 | + | 25.0472i | −1.01179 | + | 0.165875i | −0.644803 | − | 0.764349i | \(-0.723060\pi\) |
−0.366991 | + | 0.930224i | \(0.619612\pi\) | |||||||
\(152\) | −452.610 | − | 74.2016i | −2.97770 | − | 0.488169i | ||||
\(153\) | 77.1959 | + | 26.0103i | 0.504548 | + | 0.170002i | ||||
\(154\) | −3.69812 | + | 5.45432i | −0.0240138 | + | 0.0354176i | ||||
\(155\) | −2.85018 | − | 6.16057i | −0.0183883 | − | 0.0397456i | ||||
\(156\) | 1.69134 | + | 2.22492i | 0.0108419 | + | 0.0142623i | ||||
\(157\) | 7.82202 | − | 71.9223i | 0.0498218 | − | 0.458104i | −0.942480 | − | 0.334262i | \(-0.891513\pi\) |
0.992302 | − | 0.123842i | \(-0.0395215\pi\) | |||||||
\(158\) | 201.238 | − | 55.8733i | 1.27366 | − | 0.353629i | ||||
\(159\) | −50.3861 | − | 74.3139i | −0.316894 | − | 0.467383i | ||||
\(160\) | −55.1807 | + | 91.7110i | −0.344879 | + | 0.573194i | ||||
\(161\) | −9.51718 | − | 0.516006i | −0.0591129 | − | 0.00320501i | ||||
\(162\) | 21.7956 | − | 23.0093i | 0.134541 | − | 0.142033i | ||||
\(163\) | 169.432 | + | 128.799i | 1.03946 | + | 0.790179i | 0.978142 | − | 0.207939i | \(-0.0666755\pi\) |
0.0613211 | + | 0.998118i | \(0.480469\pi\) | |||||||
\(164\) | −52.8319 | − | 11.6292i | −0.322146 | − | 0.0709096i | ||||
\(165\) | 68.2069 | + | 57.9355i | 0.413375 | + | 0.351124i | ||||
\(166\) | 0.856096 | + | 15.7898i | 0.00515720 | + | 0.0951190i | ||||
\(167\) | −57.2638 | + | 108.011i | −0.342897 | + | 0.646772i | −0.993650 | − | 0.112518i | \(-0.964109\pi\) |
0.650753 | + | 0.759290i | \(0.274453\pi\) | |||||||
\(168\) | −1.88580 | − | 8.56726i | −0.0112250 | − | 0.0509956i | ||||
\(169\) | 153.347 | + | 70.9458i | 0.907377 | + | 0.419797i | ||||
\(170\) | −444.816 | − | 739.290i | −2.61657 | − | 4.34877i | ||||
\(171\) | −41.5867 | − | 78.4408i | −0.243197 | − | 0.458718i | ||||
\(172\) | −413.482 | + | 351.215i | −2.40397 | + | 2.04195i | ||||
\(173\) | 192.451 | + | 203.168i | 1.11243 | + | 1.17438i | 0.983155 | + | 0.182772i | \(0.0585071\pi\) |
0.129277 | + | 0.991608i | \(0.458734\pi\) | |||||||
\(174\) | 25.2411 | + | 232.088i | 0.145064 | + | 1.33384i | ||||
\(175\) | −6.82414 | − | 17.1273i | −0.0389951 | − | 0.0978703i | ||||
\(176\) | − | 120.091i | − | 0.682336i | ||||||
\(177\) | 89.9198 | + | 48.5534i | 0.508021 | + | 0.274313i | ||||
\(178\) | 336.950 | 1.89297 | ||||||||
\(179\) | −78.1859 | + | 31.1521i | −0.436792 | + | 0.174034i | −0.578160 | − | 0.815923i | \(-0.696229\pi\) |
0.141368 | + | 0.989957i | \(0.454850\pi\) | |||||||
\(180\) | −226.075 | + | 24.5871i | −1.25597 | + | 0.136595i | ||||
\(181\) | 164.889 | − | 156.191i | 0.910988 | − | 0.862933i | −0.0800124 | − | 0.996794i | \(-0.525496\pi\) |
0.991000 | + | 0.133860i | \(0.0427374\pi\) | |||||||
\(182\) | 0.143098 | + | 0.168468i | 0.000786251 | + | 0.000925646i | ||||
\(183\) | 105.482 | − | 55.9233i | 0.576407 | − | 0.305592i | ||||
\(184\) | 387.301 | − | 233.031i | 2.10490 | − | 1.26647i | ||||
\(185\) | 124.699 | − | 269.533i | 0.674051 | − | 1.45694i | ||||
\(186\) | −4.48123 | + | 0.986393i | −0.0240926 | + | 0.00530319i | ||||
\(187\) | 137.373 | + | 72.8305i | 0.734615 | + | 0.389468i | ||||
\(188\) | 178.815 | − | 9.69507i | 0.951144 | − | 0.0515695i | ||||
\(189\) | 1.09932 | − | 1.29422i | 0.00581653 | − | 0.00684775i | ||||
\(190\) | −202.148 | + | 918.369i | −1.06394 | + | 4.83352i | ||||
\(191\) | −140.107 | + | 184.308i | −0.733547 | + | 0.964965i | 0.266452 | + | 0.963848i | \(0.414149\pi\) |
−0.999999 | + | 0.00111656i | \(0.999645\pi\) | |||||||
\(192\) | −52.9607 | − | 50.1670i | −0.275837 | − | 0.261287i | ||||
\(193\) | 1.39981 | − | 25.8180i | 0.00725291 | − | 0.133772i | −0.992664 | − | 0.120903i | \(-0.961421\pi\) |
0.999917 | − | 0.0128687i | \(-0.00409634\pi\) | |||||||
\(194\) | −187.185 | − | 112.626i | −0.964872 | − | 0.580544i | ||||
\(195\) | 2.48453 | − | 1.68455i | 0.0127412 | − | 0.00863873i | ||||
\(196\) | 109.887 | + | 395.778i | 0.560649 | + | 2.01928i | ||||
\(197\) | −53.6730 | − | 5.83729i | −0.272452 | − | 0.0296309i | −0.0291267 | − | 0.999576i | \(-0.509273\pi\) |
−0.243325 | + | 0.969945i | \(0.578238\pi\) | |||||||
\(198\) | 48.1590 | − | 36.6096i | 0.243227 | − | 0.184897i | ||||
\(199\) | 165.875 | − | 76.7419i | 0.833543 | − | 0.385638i | 0.0437730 | − | 0.999042i | \(-0.486062\pi\) |
0.789770 | + | 0.613404i | \(0.210200\pi\) | |||||||
\(200\) | 723.678 | + | 490.666i | 3.61839 | + | 2.45333i | ||||
\(201\) | −28.5349 | + | 84.6885i | −0.141965 | + | 0.421336i | ||||
\(202\) | −49.1511 | + | 299.808i | −0.243322 | + | 1.48420i | ||||
\(203\) | 2.02362 | + | 12.3435i | 0.00996855 | + | 0.0608054i | ||||
\(204\) | −374.423 | + | 126.158i | −1.83541 | + | 0.618421i | ||||
\(205\) | −15.5441 | + | 55.9849i | −0.0758250 | + | 0.273097i | ||||
\(206\) | −179.723 | + | 451.071i | −0.872442 | + | 2.18967i | ||||
\(207\) | 81.2814 | + | 32.3855i | 0.392664 | + | 0.156452i | ||||
\(208\) | −3.88133 | − | 1.07765i | −0.0186603 | − | 0.00518100i | ||||
\(209\) | −54.1096 | − | 160.592i | −0.258898 | − | 0.768381i | ||||
\(210\) | −17.7486 | + | 2.90974i | −0.0845173 | + | 0.0138559i | ||||
\(211\) | −30.7694 | − | 5.04438i | −0.145826 | − | 0.0239070i | 0.0884266 | − | 0.996083i | \(-0.471816\pi\) |
−0.234253 | + | 0.972176i | \(0.575264\pi\) | |||||||
\(212\) | 412.687 | + | 139.050i | 1.94664 | + | 0.655898i | ||||
\(213\) | −22.3218 | + | 32.9222i | −0.104797 | + | 0.154564i | ||||
\(214\) | −89.5494 | − | 193.558i | −0.418455 | − | 0.904476i | ||||
\(215\) | 352.627 | + | 463.873i | 1.64013 | + | 2.15755i | ||||
\(216\) | −8.70681 | + | 80.0578i | −0.0403093 | + | 0.370638i | ||||
\(217\) | −0.236885 | + | 0.0657709i | −0.00109164 | + | 0.000303092i | ||||
\(218\) | 233.933 | + | 345.026i | 1.07309 | + | 1.58269i | ||||
\(219\) | −121.589 | + | 202.083i | −0.555201 | + | 0.922752i | ||||
\(220\) | −433.423 | − | 23.4995i | −1.97010 | − | 0.106816i | ||||
\(221\) | 3.58660 | − | 3.78633i | 0.0162290 | − | 0.0171327i | ||||
\(222\) | −159.818 | − | 121.491i | −0.719902 | − | 0.547255i | ||||
\(223\) | −328.545 | − | 72.3182i | −1.47330 | − | 0.324297i | −0.595510 | − | 0.803348i | \(-0.703050\pi\) |
−0.877787 | + | 0.479051i | \(0.840981\pi\) | |||||||
\(224\) | 2.95451 | + | 2.50958i | 0.0131898 | + | 0.0112035i | ||||
\(225\) | 9.16293 | + | 169.000i | 0.0407241 | + | 0.751112i | ||||
\(226\) | 141.604 | − | 267.093i | 0.626564 | − | 1.18183i | ||||
\(227\) | 2.67527 | + | 12.1539i | 0.0117853 | + | 0.0535413i | 0.982146 | − | 0.188119i | \(-0.0602391\pi\) |
−0.970361 | + | 0.241660i | \(0.922308\pi\) | |||||||
\(228\) | 390.823 | + | 180.814i | 1.71414 | + | 0.793045i | ||||
\(229\) | 46.6856 | + | 77.5920i | 0.203867 | + | 0.338830i | 0.941876 | − | 0.335962i | \(-0.109061\pi\) |
−0.738009 | + | 0.674791i | \(0.764234\pi\) | |||||||
\(230\) | −434.083 | − | 818.767i | −1.88732 | − | 3.55986i | ||||
\(231\) | 2.47032 | − | 2.09831i | 0.0106940 | − | 0.00908360i | ||||
\(232\) | −407.935 | − | 430.652i | −1.75834 | − | 1.85626i | ||||
\(233\) | −27.0766 | − | 248.966i | −0.116209 | − | 1.06852i | −0.896481 | − | 0.443082i | \(-0.853885\pi\) |
0.780272 | − | 0.625440i | \(-0.215080\pi\) | |||||||
\(234\) | −0.751058 | − | 1.88501i | −0.00320965 | − | 0.00805562i | ||||
\(235\) | − | 192.339i | − | 0.818464i | ||||||
\(236\) | −489.724 | + | 76.4608i | −2.07510 | + | 0.323986i | ||||
\(237\) | −102.723 | −0.433430 | ||||||||
\(238\) | −29.0293 | + | 11.5663i | −0.121972 | + | 0.0485980i | ||||
\(239\) | −54.8238 | + | 5.96245i | −0.229388 | + | 0.0249475i | −0.222091 | − | 0.975026i | \(-0.571288\pi\) |
−0.00729709 | + | 0.999973i | \(0.502323\pi\) | |||||||
\(240\) | 237.955 | − | 225.403i | 0.991481 | − | 0.939181i | ||||
\(241\) | 205.234 | + | 241.620i | 0.851595 | + | 1.00257i | 0.999907 | + | 0.0136340i | \(0.00433998\pi\) |
−0.148313 | + | 0.988941i | \(0.547384\pi\) | |||||||
\(242\) | −274.449 | + | 145.504i | −1.13409 | + | 0.601255i | ||||
\(243\) | −13.3571 | + | 8.03669i | −0.0549674 | + | 0.0330728i | ||||
\(244\) | −243.148 | + | 525.556i | −0.996508 | + | 2.15392i | ||||
\(245\) | 430.853 | − | 94.8380i | 1.75859 | − | 0.387094i | ||||
\(246\) | 34.7010 | + | 18.3973i | 0.141061 | + | 0.0747858i | ||||
\(247\) | −5.67586 | + | 0.307736i | −0.0229792 | + | 0.00124590i | ||||
\(248\) | 7.54782 | − | 8.88598i | 0.0304348 | − | 0.0358306i | ||||
\(249\) | 1.67196 | − | 7.59577i | 0.00671468 | − | 0.0305051i | ||||
\(250\) | 604.110 | − | 794.693i | 2.41644 | − | 3.17877i | ||||
\(251\) | −129.415 | − | 122.588i | −0.515598 | − | 0.488400i | 0.385083 | − | 0.922882i | \(-0.374173\pi\) |
−0.900681 | + | 0.434482i | \(0.856932\pi\) | |||||||
\(252\) | −0.445903 | + | 8.22419i | −0.00176946 | + | 0.0326357i | ||||
\(253\) | 143.100 | + | 86.1002i | 0.565611 | + | 0.340317i | ||||
\(254\) | −252.542 | + | 171.228i | −0.994260 | + | 0.674125i | ||||
\(255\) | 113.530 | + | 408.897i | 0.445214 | + | 1.60352i | ||||
\(256\) | 517.859 | + | 56.3206i | 2.02289 | + | 0.220002i | ||||
\(257\) | −20.6864 | + | 15.7254i | −0.0804919 | + | 0.0611883i | −0.644646 | − | 0.764481i | \(-0.722995\pi\) |
0.564154 | + | 0.825669i | \(0.309202\pi\) | |||||||
\(258\) | 357.480 | − | 165.388i | 1.38558 | − | 0.641038i | ||||
\(259\) | −8.90271 | − | 6.03619i | −0.0343734 | − | 0.0233057i | ||||
\(260\) | −4.64886 | + | 13.7973i | −0.0178802 | + | 0.0530666i | ||||
\(261\) | 18.5767 | − | 113.313i | 0.0711751 | − | 0.434149i | ||||
\(262\) | 97.2304 | + | 593.079i | 0.371109 | + | 2.26366i | ||||
\(263\) | 115.651 | − | 38.9675i | 0.439739 | − | 0.148165i | −0.0907188 | − | 0.995877i | \(-0.528916\pi\) |
0.530458 | + | 0.847711i | \(0.322020\pi\) | |||||||
\(264\) | −41.1217 | + | 148.107i | −0.155764 | + | 0.561011i | ||||
\(265\) | 173.126 | − | 434.513i | 0.653304 | − | 1.63967i | ||||
\(266\) | 31.6389 | + | 12.6061i | 0.118943 | + | 0.0473913i | ||||
\(267\) | −159.688 | − | 44.3371i | −0.598082 | − | 0.166057i | ||||
\(268\) | −138.403 | − | 410.765i | −0.516428 | − | 1.53270i | ||||
\(269\) | 21.0414 | − | 3.44955i | 0.0782206 | − | 0.0128236i | −0.122545 | − | 0.992463i | \(-0.539105\pi\) |
0.200765 | + | 0.979639i | \(0.435657\pi\) | |||||||
\(270\) | 162.932 | + | 26.7113i | 0.603451 | + | 0.0989307i | ||||
\(271\) | 313.241 | + | 105.543i | 1.15587 | + | 0.389458i | 0.830985 | − | 0.556295i | \(-0.187778\pi\) |
0.324886 | + | 0.945753i | \(0.394674\pi\) | |||||||
\(272\) | 319.578 | − | 471.343i | 1.17492 | − | 1.73288i | ||||
\(273\) | −0.0456496 | − | 0.0986699i | −0.000167215 | − | 0.000361428i | ||||
\(274\) | −484.428 | − | 637.254i | −1.76799 | − | 2.32575i | ||||
\(275\) | −34.9277 | + | 321.155i | −0.127010 | + | 1.16784i | ||||
\(276\) | −408.911 | + | 113.534i | −1.48156 | + | 0.411354i | ||||
\(277\) | 19.6167 | + | 28.9325i | 0.0708184 | + | 0.104449i | 0.861449 | − | 0.507844i | \(-0.169557\pi\) |
−0.790631 | + | 0.612294i | \(0.790247\pi\) | |||||||
\(278\) | −299.512 | + | 497.793i | −1.07738 | + | 1.79062i | ||||
\(279\) | 2.25355 | + | 0.122184i | 0.00807724 | + | 0.000437935i | ||||
\(280\) | 31.4275 | − | 33.1776i | 0.112241 | − | 0.118491i | ||||
\(281\) | −402.317 | − | 305.834i | −1.43173 | − | 1.08838i | −0.980622 | − | 0.195909i | \(-0.937234\pi\) |
−0.451112 | − | 0.892467i | \(-0.648973\pi\) | |||||||
\(282\) | −126.977 | − | 27.9498i | −0.450275 | − | 0.0991129i | ||||
\(283\) | −250.622 | − | 212.880i | −0.885589 | − | 0.752226i | 0.0841282 | − | 0.996455i | \(-0.473189\pi\) |
−0.969718 | + | 0.244228i | \(0.921465\pi\) | |||||||
\(284\) | −10.4448 | − | 192.643i | −0.0367774 | − | 0.678319i | ||||
\(285\) | 216.645 | − | 408.636i | 0.760158 | − | 1.43381i | ||||
\(286\) | −0.832592 | − | 3.78251i | −0.00291116 | − | 0.0132255i | ||||
\(287\) | 1.90987 | + | 0.883602i | 0.00665461 | + | 0.00307875i | ||||
\(288\) | −18.3465 | − | 30.4921i | −0.0637031 | − | 0.105875i | ||||
\(289\) | 209.990 | + | 396.083i | 0.726609 | + | 1.37053i | ||||
\(290\) | −926.931 | + | 787.342i | −3.19631 | + | 2.71497i | ||||
\(291\) | 73.8915 | + | 78.0063i | 0.253923 | + | 0.268063i | ||||
\(292\) | −123.678 | − | 1137.20i | −0.423553 | − | 3.89451i | ||||
\(293\) | 108.427 | + | 272.132i | 0.370059 | + | 0.928778i | 0.989604 | + | 0.143817i | \(0.0459377\pi\) |
−0.619545 | + | 0.784961i | \(0.712683\pi\) | |||||||
\(294\) | − | 298.220i | − | 1.01435i | ||||||
\(295\) | 53.5261 | + | 529.665i | 0.181444 | + | 1.79547i | ||||
\(296\) | 510.093 | 1.72329 | ||||||||
\(297\) | −27.6409 | + | 11.0131i | −0.0930669 | + | 0.0370813i | ||||
\(298\) | 210.041 | − | 22.8433i | 0.704835 | − | 0.0766555i | ||||
\(299\) | 4.06687 | − | 3.85234i | 0.0136016 | − | 0.0128841i | ||||
\(300\) | −531.443 | − | 625.663i | −1.77148 | − | 2.08554i | ||||
\(301\) | 18.6455 | − | 9.88520i | 0.0619451 | − | 0.0328412i | ||||
\(302\) | −467.159 | + | 281.080i | −1.54688 | + | 0.930729i | ||||
\(303\) | 62.7437 | − | 135.618i | 0.207075 | − | 0.447585i | ||||
\(304\) | −606.150 | + | 133.424i | −1.99391 | + | 0.438894i | ||||
\(305\) | 549.509 | + | 291.331i | 1.80167 | + | 0.955185i | ||||
\(306\) | 286.441 | − | 15.5304i | 0.936082 | − | 0.0507529i | ||||
\(307\) | 59.7530 | − | 70.3467i | 0.194635 | − | 0.229142i | −0.656184 | − | 0.754601i | \(-0.727830\pi\) |
0.850819 | + | 0.525459i | \(0.176106\pi\) | |||||||
\(308\) | −3.37951 | + | 15.3533i | −0.0109724 | + | 0.0498482i | ||||
\(309\) | 144.529 | − | 190.124i | 0.467730 | − | 0.615288i | ||||
\(310\) | −17.3540 | − | 16.4386i | −0.0559807 | − | 0.0530277i | ||||
\(311\) | −2.86536 | + | 52.8484i | −0.00921337 | + | 0.169931i | 0.990305 | + | 0.138908i | \(0.0443592\pi\) |
−0.999519 | + | 0.0310227i | \(0.990124\pi\) | |||||||
\(312\) | 4.41779 | + | 2.65810i | 0.0141596 | + | 0.00851954i | ||||
\(313\) | −338.469 | + | 229.488i | −1.08137 | + | 0.733187i | −0.965585 | − | 0.260087i | \(-0.916249\pi\) |
−0.115785 | + | 0.993274i | \(0.536938\pi\) | |||||||
\(314\) | −68.1576 | − | 245.481i | −0.217062 | − | 0.781788i | ||||
\(315\) | 8.79435 | + | 0.956443i | 0.0279186 | + | 0.00303633i | ||||
\(316\) | 396.643 | − | 301.520i | 1.25520 | − | 0.954178i | ||||
\(317\) | 220.200 | − | 101.875i | 0.694638 | − | 0.321374i | −0.0406071 | − | 0.999175i | \(-0.512929\pi\) |
0.735245 | + | 0.677801i | \(0.237067\pi\) | |||||||
\(318\) | −261.696 | − | 177.435i | −0.822945 | − | 0.557970i | ||||
\(319\) | 69.9815 | − | 207.698i | 0.219378 | − | 0.651090i | ||||
\(320\) | 61.4815 | − | 375.021i | 0.192130 | − | 1.17194i | ||||
\(321\) | 16.9704 | + | 103.515i | 0.0528672 | + | 0.322475i | ||||
\(322\) | −31.8070 | + | 10.7170i | −0.0987795 | + | 0.0332827i | ||||
\(323\) | 214.982 | − | 774.295i | 0.665578 | − | 2.39720i | ||||
\(324\) | 27.9856 | − | 70.2387i | 0.0863754 | − | 0.216786i | ||||
\(325\) | 10.0663 | + | 4.01077i | 0.0309732 | + | 0.0123408i | ||||
\(326\) | 722.162 | + | 200.507i | 2.21522 | + | 0.615053i | ||||
\(327\) | −65.4664 | − | 194.297i | −0.200203 | − | 0.594181i | ||||
\(328\) | −98.4821 | + | 16.1453i | −0.300250 | + | 0.0492235i | ||||
\(329\) | −6.87438 | − | 1.12700i | −0.0208948 | − | 0.00342553i | ||||
\(330\) | 298.647 | + | 100.626i | 0.904991 | + | 0.304927i | ||||
\(331\) | −83.6745 | + | 123.411i | −0.252793 | + | 0.372842i | −0.932818 | − | 0.360347i | \(-0.882658\pi\) |
0.680025 | + | 0.733189i | \(0.261969\pi\) | |||||||
\(332\) | 15.8398 | + | 34.2371i | 0.0477101 | + | 0.103124i | ||||
\(333\) | 59.7552 | + | 78.6067i | 0.179445 | + | 0.236056i | ||||
\(334\) | −46.5463 | + | 427.986i | −0.139360 | + | 1.28140i | ||||
\(335\) | −448.584 | + | 124.549i | −1.33906 | + | 0.371788i | ||||
\(336\) | −6.66185 | − | 9.82549i | −0.0198269 | − | 0.0292425i | ||||
\(337\) | 36.0352 | − | 59.8910i | 0.106929 | − | 0.177718i | −0.798773 | − | 0.601633i | \(-0.794517\pi\) |
0.905702 | + | 0.423915i | \(0.139345\pi\) | |||||||
\(338\) | 594.131 | + | 32.2128i | 1.75778 | + | 0.0953043i | ||||
\(339\) | −102.254 | + | 107.948i | −0.301635 | + | 0.318432i | ||||
\(340\) | −1638.60 | − | 1245.63i | −4.81940 | − | 3.66361i | ||||
\(341\) | 4.20702 | + | 0.926034i | 0.0123373 | + | 0.00271564i | ||||
\(342\) | −238.289 | − | 202.405i | −0.696752 | − | 0.591827i | ||||
\(343\) | −1.73198 | − | 31.9445i | −0.00504950 | − | 0.0931326i | ||||
\(344\) | −468.792 | + | 884.235i | −1.36277 | + | 2.57045i | ||||
\(345\) | 97.9850 | + | 445.150i | 0.284015 | + | 1.29029i | ||||
\(346\) | 894.399 | + | 413.793i | 2.58497 | + | 1.19593i | ||||
\(347\) | −166.853 | − | 277.311i | −0.480843 | − | 0.799168i | 0.517560 | − | 0.855647i | \(-0.326840\pi\) |
−0.998404 | + | 0.0564787i | \(0.982013\pi\) | |||||||
\(348\) | 260.874 | + | 492.061i | 0.749639 | + | 1.41397i | ||||
\(349\) | −345.662 | + | 293.608i | −0.990435 | + | 0.841283i | −0.987325 | − | 0.158712i | \(-0.949266\pi\) |
−0.00310985 | + | 0.999995i | \(0.500990\pi\) | |||||||
\(350\) | −44.6488 | − | 47.1352i | −0.127568 | − | 0.134672i | ||||
\(351\) | 0.107906 | + | 0.992178i | 0.000307424 | + | 0.00282672i | ||||
\(352\) | −25.1412 | − | 63.0997i | −0.0714239 | − | 0.179261i | ||||
\(353\) | 102.729i | 0.291018i | 0.989357 | + | 0.145509i | \(0.0464819\pi\) | ||||
−0.989357 | + | 0.145509i | \(0.953518\pi\) | |||||||
\(354\) | 357.449 | + | 41.6318i | 1.00974 | + | 0.117604i | ||||
\(355\) | −207.212 | −0.583697 | ||||||||
\(356\) | 746.743 | − | 297.529i | 2.09759 | − | 0.835757i | ||||
\(357\) | 15.2796 | − | 1.66175i | 0.0428000 | − | 0.00465478i | ||||
\(358\) | −215.172 | + | 203.821i | −0.601038 | + | 0.569333i | ||||
\(359\) | −89.0156 | − | 104.797i | −0.247954 | − | 0.291914i | 0.624079 | − | 0.781361i | \(-0.285474\pi\) |
−0.872033 | + | 0.489447i | \(0.837199\pi\) | |||||||
\(360\) | −370.650 | + | 196.506i | −1.02958 | + | 0.545851i | ||||
\(361\) | −441.130 | + | 265.419i | −1.22197 | + | 0.735233i | ||||
\(362\) | 335.830 | − | 725.885i | 0.927707 | − | 2.00521i | ||||
\(363\) | 149.214 | − | 32.8444i | 0.411057 | − | 0.0904804i | ||||
\(364\) | 0.465890 | + | 0.246999i | 0.00127992 | + | 0.000678569i | ||||
\(365\) | −1226.81 | + | 66.5158i | −3.36113 | + | 0.182235i | ||||
\(366\) | 272.182 | − | 320.437i | 0.743666 | − | 0.875511i | ||||
\(367\) | 20.2321 | − | 91.9154i | 0.0551283 | − | 0.250451i | −0.940995 | − | 0.338421i | \(-0.890107\pi\) |
0.996123 | + | 0.0879706i | \(0.0280382\pi\) | |||||||
\(368\) | 370.162 | − | 486.939i | 1.00587 | − | 1.32320i | ||||
\(369\) | −14.0248 | − | 13.2850i | −0.0380076 | − | 0.0360027i | ||||
\(370\) | 56.6196 | − | 1044.29i | 0.153026 | − | 2.82240i | ||||
\(371\) | −14.5155 | − | 8.73367i | −0.0391253 | − | 0.0235409i | ||||
\(372\) | −9.06024 | + | 6.14300i | −0.0243555 | + | 0.0165134i | ||||
\(373\) | −133.923 | − | 482.349i | −0.359044 | − | 1.29316i | −0.893919 | − | 0.448229i | \(-0.852055\pi\) |
0.534875 | − | 0.844931i | \(-0.320359\pi\) | |||||||
\(374\) | 544.331 | + | 59.1996i | 1.45543 | + | 0.158288i | ||||
\(375\) | −390.870 | + | 297.132i | −1.04232 | + | 0.792352i | ||||
\(376\) | 299.827 | − | 138.715i | 0.797411 | − | 0.368922i | ||||
\(377\) | −6.08479 | − | 4.12559i | −0.0161400 | − | 0.0109432i | ||||
\(378\) | 1.90937 | − | 5.66682i | 0.00505125 | − | 0.0149916i | ||||
\(379\) | 121.880 | − | 743.436i | 0.321583 | − | 1.96157i | 0.0517722 | − | 0.998659i | \(-0.483513\pi\) |
0.269811 | − | 0.962913i | \(-0.413039\pi\) | |||||||
\(380\) | 362.930 | + | 2213.77i | 0.955078 | + | 5.82572i | ||||
\(381\) | 142.216 | − | 47.9182i | 0.373271 | − | 0.125770i | ||||
\(382\) | −218.111 | + | 785.566i | −0.570972 | + | 2.05646i | ||||
\(383\) | 253.826 | − | 637.054i | 0.662730 | − | 1.66333i | −0.0825600 | − | 0.996586i | \(-0.526310\pi\) |
0.745290 | − | 0.666741i | \(-0.232311\pi\) | |||||||
\(384\) | −314.990 | − | 125.504i | −0.820287 | − | 0.326832i | ||||
\(385\) | 16.2695 | + | 4.51721i | 0.0422585 | + | 0.0117330i | ||||
\(386\) | −29.0729 | − | 86.2853i | −0.0753184 | − | 0.223537i | ||||
\(387\) | −191.180 | + | 31.3424i | −0.494005 | + | 0.0809880i | ||||
\(388\) | −514.286 | − | 84.3130i | −1.32548 | − | 0.217301i | ||||
\(389\) | 589.468 | + | 198.615i | 1.51534 | + | 0.510578i | 0.949454 | − | 0.313905i | \(-0.101637\pi\) |
0.565887 | + | 0.824483i | \(0.308534\pi\) | |||||||
\(390\) | 5.93215 | − | 8.74927i | 0.0152106 | − | 0.0224340i | ||||
\(391\) | 332.524 | + | 718.739i | 0.850446 | + | 1.83821i | ||||
\(392\) | 458.568 | + | 603.236i | 1.16982 | + | 1.53887i | ||||
\(393\) | 31.9600 | − | 293.868i | 0.0813232 | − | 0.747755i | ||||
\(394\) | −183.194 | + | 50.8635i | −0.464959 | + | 0.129095i | ||||
\(395\) | −300.310 | − | 442.924i | −0.760279 | − | 1.12133i | ||||
\(396\) | 74.4028 | − | 123.658i | 0.187886 | − | 0.312269i | ||||
\(397\) | −779.263 | − | 42.2504i | −1.96288 | − | 0.106424i | −0.971464 | − | 0.237186i | \(-0.923775\pi\) |
−0.991414 | + | 0.130762i | \(0.958258\pi\) | |||||||
\(398\) | 442.613 | − | 467.261i | 1.11209 | − | 1.17402i | ||||
\(399\) | −13.3356 | − | 10.1375i | −0.0334226 | − | 0.0254072i | ||||
\(400\) | 1155.51 | + | 254.348i | 2.88878 | + | 0.635869i | ||||
\(401\) | 4.92649 | + | 4.18460i | 0.0122855 | + | 0.0104354i | 0.653508 | − | 0.756920i | \(-0.273297\pi\) |
−0.641223 | + | 0.767355i | \(0.721572\pi\) | |||||||
\(402\) | 17.0378 | + | 314.243i | 0.0423825 | + | 0.781699i | ||||
\(403\) | 0.0676813 | − | 0.127661i | 0.000167944 | − | 0.000316776i | ||||
\(404\) | 155.805 | + | 707.831i | 0.385657 | + | 1.75206i | ||||
\(405\) | −73.7022 | − | 34.0983i | −0.181981 | − | 0.0841933i | ||||
\(406\) | 22.7091 | + | 37.7428i | 0.0559337 | + | 0.0929625i | ||||
\(407\) | 88.2804 | + | 166.514i | 0.216905 | + | 0.409126i | ||||
\(408\) | −555.529 | + | 471.871i | −1.36159 | + | 1.15655i | ||||
\(409\) | −70.2721 | − | 74.1854i | −0.171814 | − | 0.181382i | 0.634401 | − | 0.773004i | \(-0.281247\pi\) |
−0.806216 | + | 0.591621i | \(0.798488\pi\) | |||||||
\(410\) | 22.1221 | + | 203.409i | 0.0539564 | + | 0.496120i | ||||
\(411\) | 145.729 | + | 365.752i | 0.354572 | + | 0.889908i | ||||
\(412\) | 1158.35i | 2.81154i | ||||||||
\(413\) | 19.2443 | + | 1.19046i | 0.0465965 | + | 0.00288247i | ||||
\(414\) | 308.116 | 0.744241 | ||||||||
\(415\) | 37.6396 | − | 14.9970i | 0.0906979 | − | 0.0361374i | ||||
\(416\) | −2.26498 | + | 0.246332i | −0.00544467 | + | 0.000592144i | ||||
\(417\) | 207.447 | − | 196.504i | 0.497475 | − | 0.471234i | ||||
\(418\) | −386.335 | − | 454.829i | −0.924247 | − | 1.08811i | ||||
\(419\) | −55.9370 | + | 29.6559i | −0.133501 | + | 0.0707778i | −0.533820 | − | 0.845598i | \(-0.679244\pi\) |
0.400319 | + | 0.916376i | \(0.368899\pi\) | |||||||
\(420\) | −36.7649 | + | 22.1207i | −0.0875356 | + | 0.0526684i | ||||
\(421\) | −183.026 | + | 395.603i | −0.434740 | + | 0.939675i | 0.559126 | + | 0.829083i | \(0.311137\pi\) |
−0.993866 | + | 0.110592i | \(0.964725\pi\) | |||||||
\(422\) | −107.234 | + | 23.6039i | −0.254108 | + | 0.0559335i | ||||
\(423\) | 56.4997 | + | 29.9542i | 0.133569 | + | 0.0708138i | ||||
\(424\) | 802.195 | − | 43.4937i | 1.89197 | − | 0.102580i | ||||
\(425\) | −991.723 | + | 1167.55i | −2.33347 | + | 2.74717i | ||||
\(426\) | −30.1112 | + | 136.796i | −0.0706835 | + | 0.321118i | ||||
\(427\) | 13.6323 | − | 17.9329i | 0.0319257 | − | 0.0419975i | ||||
\(428\) | −369.371 | − | 349.887i | −0.863017 | − | 0.817493i | ||||
\(429\) | −0.103133 | + | 1.90217i | −0.000240402 | + | 0.00443396i | ||||
\(430\) | 1758.21 | + | 1057.88i | 4.08887 | + | 2.46019i | ||||
\(431\) | −290.767 | + | 197.145i | −0.674632 | + | 0.457412i | −0.849785 | − | 0.527129i | \(-0.823268\pi\) |
0.175153 | + | 0.984541i | \(0.443958\pi\) | |||||||
\(432\) | 29.1540 | + | 105.003i | 0.0674860 | + | 0.243063i | ||||
\(433\) | 454.905 | + | 49.4739i | 1.05059 | + | 0.114258i | 0.617088 | − | 0.786894i | \(-0.288312\pi\) |
0.433501 | + | 0.901153i | \(0.357278\pi\) | |||||||
\(434\) | −0.689216 | + | 0.523928i | −0.00158805 | + | 0.00120721i | ||||
\(435\) | 542.895 | − | 251.170i | 1.24803 | − | 0.577402i | ||||
\(436\) | 823.101 | + | 558.076i | 1.88785 | + | 1.27999i | ||||
\(437\) | 275.597 | − | 817.942i | 0.630657 | − | 1.87172i | ||||
\(438\) | −134.363 | + | 819.575i | −0.306764 | + | 1.87118i | ||||
\(439\) | −111.456 | − | 679.850i | −0.253886 | − | 1.54863i | −0.738711 | − | 0.674022i | \(-0.764565\pi\) |
0.484825 | − | 0.874611i | \(-0.338883\pi\) | |||||||
\(440\) | −758.831 | + | 255.680i | −1.72462 | + | 0.581090i | ||||
\(441\) | −39.2410 | + | 141.333i | −0.0889817 | + | 0.320483i | ||||
\(442\) | 6.79792 | − | 17.0615i | 0.0153799 | − | 0.0386007i | ||||
\(443\) | −699.549 | − | 278.726i | −1.57912 | − | 0.629177i | −0.594530 | − | 0.804074i | \(-0.702662\pi\) |
−0.984587 | + | 0.174896i | \(0.944041\pi\) | |||||||
\(444\) | −461.464 | − | 128.125i | −1.03933 | − | 0.288570i | ||||
\(445\) | −275.672 | − | 818.167i | −0.619489 | − | 1.83858i | ||||
\(446\) | −1169.06 | + | 191.658i | −2.62122 | + | 0.429727i | ||||
\(447\) | −102.549 | − | 16.8120i | −0.229416 | − | 0.0376108i | ||||
\(448\) | −13.0433 | − | 4.39481i | −0.0291146 | − | 0.00980985i | ||||
\(449\) | 130.442 | − | 192.387i | 0.290516 | − | 0.428479i | −0.654223 | − | 0.756301i | \(-0.727004\pi\) |
0.944739 | + | 0.327822i | \(0.106315\pi\) | |||||||
\(450\) | 250.257 | + | 540.922i | 0.556128 | + | 1.20205i | ||||
\(451\) | −22.3145 | − | 29.3542i | −0.0494778 | − | 0.0650869i | ||||
\(452\) | 77.9745 | − | 716.964i | 0.172510 | − | 1.58620i | ||||
\(453\) | 258.383 | − | 71.7396i | 0.570381 | − | 0.158365i | ||||
\(454\) | 24.5937 | + | 36.2730i | 0.0541712 | + | 0.0798966i | ||||
\(455\) | 0.291992 | − | 0.485294i | 0.000641740 | − | 0.00106658i | ||||
\(456\) | 793.244 | + | 43.0084i | 1.73957 | + | 0.0943167i | ||||
\(457\) | −170.509 | + | 180.004i | −0.373104 | + | 0.393881i | −0.885325 | − | 0.464973i | \(-0.846064\pi\) |
0.512221 | + | 0.858854i | \(0.328823\pi\) | |||||||
\(458\) | 253.863 | + | 192.982i | 0.554287 | + | 0.421358i | ||||
\(459\) | −137.794 | − | 30.3308i | −0.300206 | − | 0.0660802i | ||||
\(460\) | −1684.99 | − | 1431.24i | −3.66302 | − | 3.11139i | ||||
\(461\) | −11.5971 | − | 213.896i | −0.0251564 | − | 0.463982i | −0.983788 | − | 0.179334i | \(-0.942606\pi\) |
0.958632 | − | 0.284649i | \(-0.0918769\pi\) | |||||||
\(462\) | 5.34637 | − | 10.0843i | 0.0115722 | − | 0.0218275i | ||||
\(463\) | 113.321 | + | 514.821i | 0.244753 | + | 1.11192i | 0.925305 | + | 0.379225i | \(0.123809\pi\) |
−0.680552 | + | 0.732700i | \(0.738260\pi\) | |||||||
\(464\) | −728.527 | − | 337.053i | −1.57010 | − | 0.726406i | ||||
\(465\) | 6.06140 | + | 10.0741i | 0.0130353 | + | 0.0216648i | ||||
\(466\) | −413.090 | − | 779.171i | −0.886460 | − | 1.67204i | ||||
\(467\) | 142.976 | − | 121.445i | 0.306159 | − | 0.260054i | −0.481115 | − | 0.876658i | \(-0.659768\pi\) |
0.787273 | + | 0.616604i | \(0.211492\pi\) | |||||||
\(468\) | −3.32897 | − | 3.51435i | −0.00711318 | − | 0.00750930i | ||||
\(469\) | 1.82304 | + | 16.7626i | 0.00388709 | + | 0.0357412i | ||||
\(470\) | −250.703 | − | 629.217i | −0.533410 | − | 1.33876i | ||||
\(471\) | 125.308i | 0.266046i | ||||||||
\(472\) | −787.061 | + | 465.432i | −1.66750 | + | 0.986084i | ||||
\(473\) | −369.782 | −0.781780 | ||||||||
\(474\) | −336.047 | + | 133.893i | −0.708960 | + | 0.282476i | ||||
\(475\) | 1659.81 | − | 180.515i | 3.49434 | − | 0.380032i | ||||
\(476\) | −54.1212 | + | 51.2663i | −0.113700 | + | 0.107702i | ||||
\(477\) | 100.676 | + | 118.525i | 0.211061 | + | 0.248481i | ||||
\(478\) | −171.578 | + | 90.9651i | −0.358951 | + | 0.190304i | ||||
\(479\) | 460.094 | − | 276.829i | 0.960530 | − | 0.577932i | 0.0533057 | − | 0.998578i | \(-0.483024\pi\) |
0.907225 | + | 0.420646i | \(0.138197\pi\) | |||||||
\(480\) | 77.8409 | − | 168.250i | 0.162169 | − | 0.350522i | ||||
\(481\) | 6.17392 | − | 1.35898i | 0.0128356 | − | 0.00282533i | ||||
\(482\) | 986.340 | + | 522.924i | 2.04635 | + | 1.08491i | ||||
\(483\) | 16.4842 | − | 0.893749i | 0.0341289 | − | 0.00185041i | ||||
\(484\) | −479.749 | + | 564.805i | −0.991218 | + | 1.16695i | ||||
\(485\) | −120.329 | + | 546.659i | −0.248100 | + | 1.12713i | ||||
\(486\) | −33.2209 | + | 43.7013i | −0.0683557 | + | 0.0899204i | ||||
\(487\) | −218.103 | − | 206.599i | −0.447851 | − | 0.424227i | 0.430244 | − | 0.902712i | \(-0.358427\pi\) |
−0.878096 | + | 0.478485i | \(0.841186\pi\) | |||||||
\(488\) | −57.8351 | + | 1066.71i | −0.118515 | + | 2.18587i | ||||
\(489\) | −315.865 | − | 190.050i | −0.645941 | − | 0.388650i | ||||
\(490\) | 1285.87 | − | 871.845i | 2.62423 | − | 1.77927i | ||||
\(491\) | −175.443 | − | 631.889i | −0.357318 | − | 1.28694i | −0.895857 | − | 0.444342i | \(-0.853437\pi\) |
0.538539 | − | 0.842600i | \(-0.318976\pi\) | |||||||
\(492\) | 93.1489 | + | 10.1306i | 0.189327 | + | 0.0205906i | ||||
\(493\) | 827.379 | − | 628.957i | 1.67825 | − | 1.27578i | ||||
\(494\) | −18.1669 | + | 8.40488i | −0.0367750 | + | 0.0170139i | ||||
\(495\) | −128.295 | − | 86.9860i | −0.259181 | − | 0.175729i | ||||
\(496\) | 5.03767 | − | 14.9513i | 0.0101566 | − | 0.0301437i | ||||
\(497\) | −1.21415 | + | 7.40597i | −0.00244295 | + | 0.0149014i | ||||
\(498\) | −4.43102 | − | 27.0280i | −0.00889763 | − | 0.0542732i | ||||
\(499\) | −697.503 | + | 235.016i | −1.39780 | + | 0.470974i | −0.914537 | − | 0.404501i | \(-0.867445\pi\) |
−0.483263 | + | 0.875475i | \(0.660549\pi\) | |||||||
\(500\) | 637.099 | − | 2294.62i | 1.27420 | − | 4.58925i | ||||
\(501\) | 78.3754 | − | 196.707i | 0.156438 | − | 0.392630i | ||||
\(502\) | −583.154 | − | 232.350i | −1.16166 | − | 0.462848i | ||||
\(503\) | −695.506 | − | 193.106i | −1.38272 | − | 0.383909i | −0.505011 | − | 0.863113i | \(-0.668512\pi\) |
−0.877704 | + | 0.479204i | \(0.840926\pi\) | |||||||
\(504\) | 4.85152 | + | 14.3988i | 0.00962603 | + | 0.0285690i | ||||
\(505\) | 768.194 | − | 125.939i | 1.52118 | − | 0.249384i | ||||
\(506\) | 580.361 | + | 95.1454i | 1.14696 | + | 0.188034i | ||||
\(507\) | −277.333 | − | 93.4445i | −0.547008 | − | 0.184309i | ||||
\(508\) | −408.484 | + | 602.469i | −0.804103 | + | 1.18596i | ||||
\(509\) | −12.8390 | − | 27.7509i | −0.0252239 | − | 0.0545205i | 0.894554 | − | 0.446960i | \(-0.147493\pi\) |
−0.919778 | + | 0.392439i | \(0.871631\pi\) | |||||||
\(510\) | 904.373 | + | 1189.68i | 1.77328 | + | 2.33271i | ||||
\(511\) | −4.81108 | + | 44.2371i | −0.00941503 | + | 0.0865697i | ||||
\(512\) | 1013.02 | − | 281.263i | 1.97855 | − | 0.549342i | ||||
\(513\) | 86.2974 | + | 127.279i | 0.168221 | + | 0.248108i | ||||
\(514\) | −47.1762 | + | 78.4075i | −0.0917825 | + | 0.152544i | ||||
\(515\) | 1242.31 | + | 67.3562i | 2.41225 | + | 0.130789i | ||||
\(516\) | 646.202 | − | 682.188i | 1.25233 | − | 1.32207i | ||||
\(517\) | 97.1720 | + | 73.8683i | 0.187954 | + | 0.142879i | ||||
\(518\) | −36.9921 | − | 8.14257i | −0.0714132 | − | 0.0157192i | ||||
\(519\) | −369.427 | − | 313.794i | −0.711806 | − | 0.604614i | ||||
\(520\) | 1.45412 | + | 26.8197i | 0.00279639 | + | 0.0515763i | ||||
\(521\) | −172.016 | + | 324.456i | −0.330165 | + | 0.622757i | −0.991906 | − | 0.126975i | \(-0.959473\pi\) |
0.661741 | + | 0.749733i | \(0.269818\pi\) | |||||||
\(522\) | −86.9250 | − | 394.904i | −0.166523 | − | 0.756522i | ||||
\(523\) | −74.2638 | − | 34.3581i | −0.141996 | − | 0.0656943i | 0.347604 | − | 0.937641i | \(-0.386995\pi\) |
−0.489600 | + | 0.871947i | \(0.662857\pi\) | |||||||
\(524\) | 739.175 | + | 1228.52i | 1.41064 | + | 2.34450i | ||||
\(525\) | 14.9579 | + | 28.2135i | 0.0284911 | + | 0.0537400i | ||||
\(526\) | 327.549 | − | 278.223i | 0.622717 | − | 0.528941i | ||||
\(527\) | 14.0477 | + | 14.8300i | 0.0266560 | + | 0.0281404i | ||||
\(528\) | 22.4892 | + | 206.785i | 0.0425931 | + | 0.391638i | ||||
\(529\) | 119.040 | + | 298.767i | 0.225028 | + | 0.564778i | ||||
\(530\) | − | 1647.12i | − | 3.10777i | ||||||
\(531\) | −163.925 | − | 66.7648i | −0.308710 | − | 0.125734i | ||||
\(532\) | 81.2489 | 0.152724 | ||||||||
\(533\) | −1.14897 | + | 0.457790i | −0.00215566 | + | 0.000858893i | ||||
\(534\) | −580.192 | + | 63.0997i | −1.08650 | + | 0.118164i | ||||
\(535\) | −396.725 | + | 375.798i | −0.741542 | + | 0.702426i | ||||
\(536\) | −517.670 | − | 609.448i | −0.965803 | − | 1.13703i | ||||
\(537\) | 128.794 | − | 68.2824i | 0.239840 | − | 0.127155i | ||||
\(538\) | 64.3382 | − | 38.7110i | 0.119588 | − | 0.0719536i | ||||
\(539\) | −117.557 | + | 254.095i | −0.218102 | + | 0.471419i | ||||
\(540\) | 384.673 | − | 84.6730i | 0.712358 | − | 0.156802i | ||||
\(541\) | −67.9470 | − | 36.0232i | −0.125595 | − | 0.0665864i | 0.404426 | − | 0.914571i | \(-0.367471\pi\) |
−0.530021 | + | 0.847984i | \(0.677816\pi\) | |||||||
\(542\) | 1162.30 | − | 63.0182i | 2.14447 | − | 0.116270i | ||||
\(543\) | −254.672 | + | 299.823i | −0.469009 | + | 0.552160i | ||||
\(544\) | 69.2405 | − | 314.563i | 0.127280 | − | 0.578240i | ||||
\(545\) | 646.387 | − | 850.307i | 1.18603 | − | 1.56020i | ||||
\(546\) | −0.277948 | − | 0.263286i | −0.000509062 | − | 0.000482210i | ||||
\(547\) | −35.4575 | + | 653.975i | −0.0648217 | + | 1.19557i | 0.767417 | + | 0.641149i | \(0.221542\pi\) |
−0.832238 | + | 0.554418i | \(0.812941\pi\) | |||||||
\(548\) | −1636.28 | − | 984.519i | −2.98592 | − | 1.79657i | ||||
\(549\) | −171.157 | + | 116.048i | −0.311762 | + | 0.211380i | ||||
\(550\) | 304.345 | + | 1096.15i | 0.553354 | + | 1.99300i | ||||
\(551\) | −1126.09 | − | 122.469i | −2.04372 | − | 0.222268i | ||||
\(552\) | −623.253 | + | 473.785i | −1.12908 | + | 0.858306i | ||||
\(553\) | −17.5902 | + | 8.13809i | −0.0318086 | + | 0.0147162i | ||||
\(554\) | 101.886 | + | 69.0802i | 0.183909 | + | 0.124693i | ||||
\(555\) | −164.245 | + | 487.461i | −0.295936 | + | 0.878308i | ||||
\(556\) | −224.219 | + | 1367.67i | −0.403271 | + | 2.45985i | ||||
\(557\) | 57.4067 | + | 350.166i | 0.103064 | + | 0.628664i | 0.986958 | + | 0.160976i | \(0.0514643\pi\) |
−0.883894 | + | 0.467687i | \(0.845087\pi\) | |||||||
\(558\) | 7.53150 | − | 2.53766i | 0.0134973 | − | 0.00454777i | ||||
\(559\) | −3.31827 | + | 11.9513i | −0.00593608 | + | 0.0213798i | ||||
\(560\) | 22.8900 | − | 57.4495i | 0.0408750 | − | 0.102588i | ||||
\(561\) | −250.181 | − | 99.6812i | −0.445955 | − | 0.177685i | ||||
\(562\) | −1714.77 | − | 476.105i | −3.05120 | − | 0.847161i | ||||
\(563\) | 208.639 | + | 619.218i | 0.370584 | + | 1.09985i | 0.957061 | + | 0.289888i | \(0.0936180\pi\) |
−0.586477 | + | 0.809966i | \(0.699485\pi\) | |||||||
\(564\) | −306.086 | + | 50.1802i | −0.542705 | + | 0.0889719i | ||||
\(565\) | −764.395 | − | 125.316i | −1.35291 | − | 0.221799i | ||||
\(566\) | −1097.36 | − | 369.743i | −1.93880 | − | 0.653257i | ||||
\(567\) | −1.65056 | + | 2.43439i | −0.00291104 | + | 0.00429346i | ||||
\(568\) | −149.441 | − | 323.012i | −0.263101 | − | 0.568683i | ||||
\(569\) | −524.327 | − | 689.741i | −0.921489 | − | 1.21220i | −0.976892 | − | 0.213734i | \(-0.931437\pi\) |
0.0554024 | − | 0.998464i | \(-0.482356\pi\) | |||||||
\(570\) | 176.098 | − | 1619.19i | 0.308944 | − | 2.84069i | ||||
\(571\) | 600.261 | − | 166.662i | 1.05125 | − | 0.291877i | 0.301406 | − | 0.953496i | \(-0.402544\pi\) |
0.749840 | + | 0.661619i | \(0.230130\pi\) | |||||||
\(572\) | −5.18517 | − | 7.64755i | −0.00906498 | − | 0.0133698i | ||||
\(573\) | 206.736 | − | 343.598i | 0.360795 | − | 0.599647i | ||||
\(574\) | 7.39967 | + | 0.401198i | 0.0128914 | + | 0.000698952i | ||||
\(575\) | −1131.53 | + | 1194.54i | −1.96788 | + | 2.07747i | ||||
\(576\) | 100.588 | + | 76.4647i | 0.174631 | + | 0.132751i | ||||
\(577\) | 727.458 | + | 160.126i | 1.26076 | + | 0.277514i | 0.794571 | − | 0.607172i | \(-0.207696\pi\) |
0.466188 | + | 0.884686i | \(0.345627\pi\) | |||||||
\(578\) | 1203.23 | + | 1022.03i | 2.08171 | + | 1.76822i | ||||
\(579\) | 2.42454 | + | 44.7181i | 0.00418747 | + | 0.0772333i | ||||
\(580\) | −1359.02 | + | 2563.38i | −2.34314 | + | 4.41963i | ||||
\(581\) | −0.315460 | − | 1.43315i | −0.000542961 | − | 0.00246670i | ||||
\(582\) | 343.405 | + | 158.876i | 0.590043 | + | 0.272983i | ||||
\(583\) | 153.032 | + | 254.341i | 0.262490 | + | 0.436262i | ||||
\(584\) | −988.461 | − | 1864.44i | −1.69257 | − | 3.19253i | ||||
\(585\) | −3.96264 | + | 3.36590i | −0.00677375 | + | 0.00575367i | ||||
\(586\) | 709.416 | + | 748.922i | 1.21061 | + | 1.27802i | ||||
\(587\) | 14.2180 | + | 130.733i | 0.0242215 | + | 0.222713i | 0.999992 | + | 0.00391793i | \(0.00124712\pi\) |
−0.975771 | + | 0.218795i | \(0.929787\pi\) | |||||||
\(588\) | −263.331 | − | 660.911i | −0.447842 | − | 1.12400i | ||||
\(589\) | − | 22.2634i | − | 0.0377986i | ||||||
\(590\) | 865.492 | + | 1662.97i | 1.46693 | + | 2.81860i | ||||
\(591\) | 93.5125 | 0.158228 | ||||||||
\(592\) | 641.247 | − | 255.496i | 1.08319 | − | 0.431581i | ||||
\(593\) | 446.100 | − | 48.5163i | 0.752277 | − | 0.0818150i | 0.276057 | − | 0.961141i | \(-0.410972\pi\) |
0.476220 | + | 0.879326i | \(0.342007\pi\) | |||||||
\(594\) | −76.0691 | + | 72.0565i | −0.128063 | + | 0.121307i | ||||
\(595\) | 51.8350 | + | 61.0249i | 0.0871176 | + | 0.102563i | ||||
\(596\) | 445.319 | − | 236.093i | 0.747179 | − | 0.396129i | ||||
\(597\) | −271.248 | + | 163.205i | −0.454352 | + | 0.273375i | ||||
\(598\) | 8.28301 | − | 17.9034i | 0.0138512 | − | 0.0299389i | ||||
\(599\) | −345.918 | + | 76.1422i | −0.577492 | + | 0.127116i | −0.494106 | − | 0.869402i | \(-0.664504\pi\) |
−0.0833860 | + | 0.996517i | \(0.526573\pi\) | |||||||
\(600\) | −1337.99 | − | 709.355i | −2.22998 | − | 1.18226i | ||||
\(601\) | −211.932 | + | 11.4906i | −0.352633 | + | 0.0191192i | −0.229605 | − | 0.973284i | \(-0.573743\pi\) |
−0.123028 | + | 0.992403i | \(0.539261\pi\) | |||||||
\(602\) | 48.1119 | − | 56.6417i | 0.0799200 | − | 0.0940891i | ||||
\(603\) | 33.2747 | − | 151.169i | 0.0551820 | − | 0.250694i | ||||
\(604\) | −787.114 | + | 1035.43i | −1.30317 | + | 1.71429i | ||||
\(605\) | 577.845 | + | 547.364i | 0.955115 | + | 0.904733i | ||||
\(606\) | 28.4887 | − | 525.443i | 0.0470111 | − | 0.867068i | ||||
\(607\) | −246.583 | − | 148.364i | −0.406233 | − | 0.244422i | 0.297743 | − | 0.954646i | \(-0.403766\pi\) |
−0.703976 | + | 0.710224i | \(0.748594\pi\) | |||||||
\(608\) | −290.558 | + | 197.003i | −0.477892 | + | 0.324019i | ||||
\(609\) | −5.79600 | − | 20.8753i | −0.00951724 | − | 0.0342780i | ||||
\(610\) | 2177.39 | + | 236.806i | 3.56950 | + | 0.388206i | ||||
\(611\) | 3.25940 | − | 2.47773i | 0.00533453 | − | 0.00405520i | ||||
\(612\) | 621.093 | − | 287.348i | 1.01486 | − | 0.469523i | ||||
\(613\) | 388.030 | + | 263.091i | 0.633002 | + | 0.429186i | 0.835038 | − | 0.550192i | \(-0.185446\pi\) |
−0.202036 | + | 0.979378i | \(0.564756\pi\) | |||||||
\(614\) | 103.783 | − | 308.016i | 0.169027 | − | 0.501655i | ||||
\(615\) | 16.2812 | − | 99.3112i | 0.0264736 | − | 0.161482i | ||||
\(616\) | 4.69192 | + | 28.6195i | 0.00761676 | + | 0.0464602i | ||||
\(617\) | 218.245 | − | 73.5352i | 0.353719 | − | 0.119182i | −0.136832 | − | 0.990594i | \(-0.543692\pi\) |
0.490551 | + | 0.871412i | \(0.336795\pi\) | |||||||
\(618\) | 224.994 | − | 810.354i | 0.364068 | − | 1.31125i | ||||
\(619\) | −236.986 | + | 594.790i | −0.382853 | + | 0.960888i | 0.603666 | + | 0.797238i | \(0.293706\pi\) |
−0.986518 | + | 0.163650i | \(0.947673\pi\) | |||||||
\(620\) | −52.9751 | − | 21.1072i | −0.0854438 | − | 0.0340439i | ||||
\(621\) | −146.023 | − | 40.5431i | −0.235142 | − | 0.0652868i | ||||
\(622\) | 59.5111 | + | 176.623i | 0.0956770 | + | 0.283959i | ||||
\(623\) | −30.8573 | + | 5.05880i | −0.0495302 | + | 0.00812007i | ||||
\(624\) | 6.88507 | + | 1.12875i | 0.0110338 | + | 0.00180889i | ||||
\(625\) | −1087.32 | − | 366.359i | −1.73971 | − | 0.586175i | ||||
\(626\) | −808.141 | + | 1191.92i | −1.29096 | + | 1.90402i | ||||
\(627\) | 123.245 | + | 266.389i | 0.196563 | + | 0.424863i | ||||
\(628\) | −367.812 | − | 483.849i | −0.585688 | − | 0.770460i | ||||
\(629\) | −96.6274 | + | 888.474i | −0.153621 | + | 1.41252i | ||||
\(630\) | 30.0164 | − | 8.33402i | 0.0476451 | − | 0.0132286i | ||||
\(631\) | −204.605 | − | 301.770i | −0.324255 | − | 0.478241i | 0.630268 | − | 0.776378i | \(-0.282945\pi\) |
−0.954523 | + | 0.298137i | \(0.903635\pi\) | |||||||
\(632\) | 473.867 | − | 787.573i | 0.749789 | − | 1.24616i | ||||
\(633\) | 53.9264 | + | 2.92380i | 0.0851917 | + | 0.00461896i | ||||
\(634\) | 587.572 | − | 620.293i | 0.926770 | − | 0.978379i | ||||
\(635\) | 622.383 | + | 473.124i | 0.980131 | + | 0.745076i | ||||
\(636\) | −736.644 | − | 162.148i | −1.15825 | − | 0.254949i | ||||
\(637\) | 7.15743 | + | 6.07957i | 0.0112361 | + | 0.00954407i | ||||
\(638\) | −41.7849 | − | 770.677i | −0.0654936 | − | 1.20796i | ||||
\(639\) | 32.2706 | − | 60.8688i | 0.0505017 | − | 0.0952563i | ||||
\(640\) | −379.722 | − | 1725.09i | −0.593316 | − | 2.69546i | ||||
\(641\) | −8.81230 | − | 4.07701i | −0.0137477 | − | 0.00636038i | 0.413003 | − | 0.910730i | \(-0.364480\pi\) |
−0.426751 | + | 0.904369i | \(0.640342\pi\) | |||||||
\(642\) | 190.442 | + | 316.517i | 0.296639 | + | 0.493017i | ||||
\(643\) | −55.1123 | − | 103.953i | −0.0857112 | − | 0.161668i | 0.836951 | − | 0.547278i | \(-0.184336\pi\) |
−0.922662 | + | 0.385610i | \(0.873991\pi\) | |||||||
\(644\) | −61.0270 | + | 51.8368i | −0.0947624 | + | 0.0804919i | ||||
\(645\) | −694.057 | − | 732.707i | −1.07606 | − | 1.13598i | ||||
\(646\) | −305.958 | − | 2813.24i | −0.473619 | − | 4.35486i | ||||
\(647\) | −5.47621 | − | 13.7442i | −0.00846400 | − | 0.0212430i | 0.924684 | − | 0.380735i | \(-0.124329\pi\) |
−0.933148 | + | 0.359492i | \(0.882950\pi\) | |||||||
\(648\) | − | 139.482i | − | 0.215250i | ||||||
\(649\) | −288.150 | − | 176.377i | −0.443990 | − | 0.271767i | ||||
\(650\) | 38.1586 | 0.0587055 | ||||||||
\(651\) | 0.395575 | − | 0.157612i | 0.000607643 | − | 0.000242107i | ||||
\(652\) | 1777.49 | − | 193.314i | 2.72622 | − | 0.296494i | ||||
\(653\) | 429.573 | − | 406.913i | 0.657845 | − | 0.623144i | −0.284146 | − | 0.958781i | \(-0.591710\pi\) |
0.941992 | + | 0.335637i | \(0.108951\pi\) | |||||||
\(654\) | −467.421 | − | 550.291i | −0.714712 | − | 0.841423i | ||||
\(655\) | 1360.54 | − | 721.314i | 2.07716 | − | 1.10124i | ||||
\(656\) | −115.717 | + | 69.6244i | −0.176397 | + | 0.106135i | ||||
\(657\) | 171.520 | − | 370.735i | 0.261066 | − | 0.564285i | ||||
\(658\) | −23.9578 | + | 5.27351i | −0.0364100 | + | 0.00801445i | ||||
\(659\) | 305.257 | + | 161.837i | 0.463213 | + | 0.245580i | 0.683634 | − | 0.729825i | \(-0.260398\pi\) |
−0.220421 | + | 0.975405i | \(0.570743\pi\) | |||||||
\(660\) | 750.711 | − | 40.7023i | 1.13744 | − | 0.0616702i | ||||
\(661\) | −293.012 | + | 344.961i | −0.443286 | + | 0.521877i | −0.937745 | − | 0.347324i | \(-0.887090\pi\) |
0.494459 | + | 0.869201i | \(0.335366\pi\) | |||||||
\(662\) | −112.874 | + | 512.790i | −0.170504 | + | 0.774607i | ||||
\(663\) | −5.46671 | + | 7.19133i | −0.00824541 | + | 0.0108466i | ||||
\(664\) | 50.5236 | + | 47.8585i | 0.0760898 | + | 0.0720760i | ||||
\(665\) | 4.72448 | − | 87.1378i | 0.00710447 | − | 0.131034i | ||||
\(666\) | 297.942 | + | 179.266i | 0.447360 | + | 0.269168i | ||||
\(667\) | 923.952 | − | 626.455i | 1.38524 | − | 0.939213i | ||||
\(668\) | 274.760 | + | 989.597i | 0.411318 | + | 1.48143i | ||||
\(669\) | 579.264 | + | 62.9987i | 0.865865 | + | 0.0941685i | ||||
\(670\) | −1305.15 | + | 992.151i | −1.94799 | + | 1.48082i | ||||
\(671\) | −358.224 | + | 165.732i | −0.533866 | + | 0.246993i | ||||
\(672\) | −5.55733 | − | 3.76796i | −0.00826983 | − | 0.00560708i | ||||
\(673\) | 1.84674 | − | 5.48092i | 0.00274404 | − | 0.00814402i | −0.946272 | − | 0.323371i | \(-0.895184\pi\) |
0.949016 | + | 0.315227i | \(0.102081\pi\) | |||||||
\(674\) | 39.8209 | − | 242.897i | 0.0590814 | − | 0.360381i | ||||
\(675\) | −47.4259 | − | 289.285i | −0.0702606 | − | 0.428571i | ||||
\(676\) | 1345.15 | − | 453.233i | 1.98986 | − | 0.670463i | ||||
\(677\) | 79.7968 | − | 287.402i | 0.117868 | − | 0.424523i | −0.880946 | − | 0.473218i | \(-0.843092\pi\) |
0.998814 | + | 0.0486948i | \(0.0155062\pi\) | |||||||
\(678\) | −193.809 | + | 486.424i | −0.285854 | + | 0.717439i | ||||
\(679\) | 18.8331 | + | 7.50377i | 0.0277365 | + | 0.0110512i | ||||
\(680\) | −3658.71 | − | 1015.84i | −5.38046 | − | 1.49388i | ||||
\(681\) | −6.88257 | − | 20.4267i | −0.0101066 | − | 0.0299952i | ||||
\(682\) | 14.9698 | − | 2.45418i | 0.0219499 | − | 0.00359850i | ||||
\(683\) | −119.353 | − | 19.5669i | −0.174748 | − | 0.0286485i | 0.0737725 | − | 0.997275i | \(-0.476496\pi\) |
−0.248521 | + | 0.968627i | \(0.579944\pi\) | |||||||
\(684\) | −706.818 | − | 238.155i | −1.03336 | − | 0.348180i | ||||
\(685\) | −1151.02 | + | 1697.63i | −1.68033 | + | 2.47830i | ||||
\(686\) | −47.3037 | − | 102.245i | −0.0689559 | − | 0.149046i | ||||
\(687\) | −94.9182 | − | 124.863i | −0.138163 | − | 0.181751i | ||||
\(688\) | −146.429 | + | 1346.40i | −0.212833 | + | 1.95697i | ||||
\(689\) | 9.59351 | − | 2.66362i | 0.0139238 | − | 0.00386593i | ||||
\(690\) | 900.775 | + | 1328.54i | 1.30547 | + | 1.92543i | ||||
\(691\) | −45.0747 | + | 74.9148i | −0.0652312 | + | 0.108415i | −0.887756 | − | 0.460314i | \(-0.847737\pi\) |
0.822525 | + | 0.568729i | \(0.192565\pi\) | |||||||
\(692\) | 2347.54 | + | 127.280i | 3.39240 | + | 0.183930i | ||||
\(693\) | −3.86070 | + | 4.07569i | −0.00557099 | + | 0.00588122i | ||||
\(694\) | −907.299 | − | 689.711i | −1.30735 | − | 0.993820i | ||||
\(695\) | 1453.76 | + | 319.998i | 2.09175 | + | 0.460428i | ||||
\(696\) | 783.069 | + | 665.145i | 1.12510 | + | 0.955668i | ||||
\(697\) | −9.46618 | − | 174.593i | −0.0135813 | − | 0.250493i | ||||
\(698\) | −748.094 | + | 1411.06i | −1.07177 | + | 2.02157i | ||||
\(699\) | 93.2464 | + | 423.623i | 0.133400 | + | 0.606041i | ||||
\(700\) | −140.571 | − | 65.0350i | −0.200816 | − | 0.0929072i | ||||
\(701\) | −246.423 | − | 409.558i | −0.351531 | − | 0.584249i | 0.629758 | − | 0.776792i | \(-0.283154\pi\) |
−0.981289 | + | 0.192543i | \(0.938327\pi\) | |||||||
\(702\) | 1.64625 | + | 3.10515i | 0.00234508 | + | 0.00442329i | ||||
\(703\) | 742.386 | − | 630.589i | 1.05603 | − | 0.896997i | ||||
\(704\) | 165.853 | + | 175.089i | 0.235586 | + | 0.248706i | ||||
\(705\) | 36.0189 | + | 331.188i | 0.0510906 | + | 0.469771i | ||||
\(706\) | 133.902 | + | 336.068i | 0.189662 | + | 0.476016i | ||||
\(707\) | − | 28.1939i | − | 0.0398783i | ||||||
\(708\) | 828.935 | − | 223.367i | 1.17081 | − | 0.315490i | ||||
\(709\) | 892.293 | 1.25852 | 0.629261 | − | 0.777194i | \(-0.283358\pi\) | ||||
0.629261 | + | 0.777194i | \(0.283358\pi\) | |||||||
\(710\) | −677.873 | + | 270.089i | −0.954751 | + | 0.380408i | ||||
\(711\) | 176.878 | − | 19.2367i | 0.248774 | − | 0.0270558i | ||||
\(712\) | 1076.58 | − | 1019.79i | 1.51205 | − | 1.43229i | ||||
\(713\) | 14.2040 | + | 16.7223i | 0.0199215 | + | 0.0234534i | ||||
\(714\) | 47.8195 | − | 25.3523i | 0.0669741 | − | 0.0355074i | ||||
\(715\) | −8.50334 | + | 5.11629i | −0.0118928 | + | 0.00715565i | ||||
\(716\) | −296.884 | + | 641.704i | −0.414643 | + | 0.896235i | ||||
\(717\) | 93.2844 | − | 20.5334i | 0.130104 | − | 0.0286380i | ||||
\(718\) | −427.802 | − | 226.806i | −0.595824 | − | 0.315886i | ||||
\(719\) | 415.389 | − | 22.5217i | 0.577732 | − | 0.0313237i | 0.237042 | − | 0.971499i | \(-0.423822\pi\) |
0.340690 | + | 0.940176i | \(0.389339\pi\) | |||||||
\(720\) | −367.524 | + | 432.683i | −0.510450 | + | 0.600948i | ||||
\(721\) | 9.68661 | − | 44.0067i | 0.0134350 | − | 0.0610357i | ||||
\(722\) | −1097.15 | + | 1443.28i | −1.51960 | + | 1.99900i | ||||
\(723\) | −398.640 | − | 377.612i | −0.551369 | − | 0.522285i | ||||
\(724\) | 103.299 | − | 1905.24i | 0.142678 | − | 2.63154i | ||||
\(725\) | 1850.24 | + | 1113.25i | 2.55206 | + | 1.53552i | ||||
\(726\) | 445.325 | − | 301.938i | 0.613396 | − | 0.415893i | ||||
\(727\) | 75.5333 | + | 272.046i | 0.103897 | + | 0.374204i | 0.997158 | − | 0.0753342i | \(-0.0240024\pi\) |
−0.893261 | + | 0.449538i | \(0.851589\pi\) | |||||||
\(728\) | 0.967082 | + | 0.105176i | 0.00132841 | + | 0.000144473i | ||||
\(729\) | 21.4945 | − | 16.3397i | 0.0294849 | − | 0.0224139i | ||||
\(730\) | −3926.68 | + | 1816.68i | −5.37901 | + | 2.48860i | ||||
\(731\) | −1451.35 | − | 984.038i | −1.98543 | − | 1.34615i | ||||
\(732\) | 320.256 | − | 950.487i | 0.437509 | − | 1.29848i | ||||
\(733\) | −24.7997 | + | 151.271i | −0.0338331 | + | 0.206373i | −0.998333 | − | 0.0577088i | \(-0.981621\pi\) |
0.964500 | + | 0.264082i | \(0.0850688\pi\) | |||||||
\(734\) | −53.6192 | − | 327.062i | −0.0730506 | − | 0.445589i | ||||
\(735\) | −724.125 | + | 243.986i | −0.985205 | + | 0.331954i | ||||
\(736\) | 92.5534 | − | 333.347i | 0.125752 | − | 0.452917i | ||||
\(737\) | 109.356 | − | 274.463i | 0.148380 | − | 0.372406i | ||||
\(738\) | −63.1968 | − | 25.1799i | −0.0856325 | − | 0.0341191i | ||||
\(739\) | −737.725 | − | 204.828i | −0.998275 | − | 0.277170i | −0.270302 | − | 0.962776i | \(-0.587123\pi\) |
−0.727973 | + | 0.685606i | \(0.759537\pi\) | |||||||
\(740\) | −796.635 | − | 2364.33i | −1.07653 | − | 3.19504i | ||||
\(741\) | 9.71562 | − | 1.59280i | 0.0131115 | − | 0.00214952i | ||||
\(742\) | −58.8696 | − | 9.65118i | −0.0793391 | − | 0.0130070i | ||||
\(743\) | 852.972 | + | 287.400i | 1.14801 | + | 0.386810i | 0.828068 | − | 0.560627i | \(-0.189440\pi\) |
0.319942 | + | 0.947437i | \(0.396337\pi\) | |||||||
\(744\) | −11.3325 | + | 16.7142i | −0.0152319 | + | 0.0224653i | ||||
\(745\) | −227.311 | − | 491.324i | −0.305115 | − | 0.659495i | ||||
\(746\) | −1066.83 | − | 1403.39i | −1.43007 | − | 1.88122i | ||||
\(747\) | −1.45649 | + | 13.3922i | −0.00194979 | + | 0.0179280i | ||||
\(748\) | 1258.61 | − | 349.452i | 1.68264 | − | 0.467182i | ||||
\(749\) | 11.1068 | + | 16.3813i | 0.0148288 | + | 0.0218709i | ||||
\(750\) | −891.396 | + | 1481.51i | −1.18853 | + | 1.97535i | ||||
\(751\) | −143.586 | − | 7.78499i | −0.191193 | − | 0.0103662i | −0.0417061 | − | 0.999130i | \(-0.513279\pi\) |
−0.149487 | + | 0.988764i | \(0.547762\pi\) | |||||||
\(752\) | 307.438 | − | 324.558i | 0.408827 | − | 0.431593i | ||||
\(753\) | 245.796 | + | 186.850i | 0.326423 | + | 0.248140i | ||||
\(754\) | −25.2832 | − | 5.56525i | −0.0335321 | − | 0.00738097i | ||||
\(755\) | 1064.71 | + | 904.372i | 1.41021 | + | 1.19784i | ||||
\(756\) | −0.772326 | − | 14.2447i | −0.00102160 | − | 0.0188422i | ||||
\(757\) | 317.215 | − | 598.331i | 0.419042 | − | 0.790398i | −0.580676 | − | 0.814135i | \(-0.697212\pi\) |
0.999718 | + | 0.0237370i | \(0.00755643\pi\) | |||||||
\(758\) | −570.308 | − | 2590.93i | −0.752385 | − | 3.41812i | ||||
\(759\) | −262.527 | − | 121.458i | −0.345885 | − | 0.160023i | ||||
\(760\) | 2133.60 | + | 3546.07i | 2.80737 | + | 4.66588i | ||||
\(761\) | 97.7139 | + | 184.308i | 0.128402 | + | 0.242192i | 0.939375 | − | 0.342892i | \(-0.111406\pi\) |
−0.810973 | + | 0.585084i | \(0.801062\pi\) | |||||||
\(762\) | 402.786 | − | 342.130i | 0.528591 | − | 0.448989i | ||||
\(763\) | −26.6033 | − | 28.0848i | −0.0348667 | − | 0.0368084i | ||||
\(764\) | 210.287 | + | 1933.55i | 0.275244 | + | 2.53083i | ||||
\(765\) | −272.060 | − | 682.818i | −0.355633 | − | 0.892573i | ||||
\(766\) | − | 2414.90i | − | 3.15261i | ||||||
\(767\) | −8.28622 | + | 7.73024i | −0.0108034 | + | 0.0100785i | ||||
\(768\) | −902.247 | −1.17480 | ||||||||
\(769\) | −383.215 | + | 152.687i | −0.498329 | + | 0.198553i | −0.605741 | − | 0.795662i | \(-0.707123\pi\) |
0.107411 | + | 0.994215i | \(0.465744\pi\) | |||||||
\(770\) | 59.1119 | − | 6.42881i | 0.0767688 | − | 0.00834910i | ||||
\(771\) | 32.6750 | − | 30.9514i | 0.0423801 | − | 0.0401445i | ||||
\(772\) | −140.622 | − | 165.553i | −0.182152 | − | 0.214446i | ||||
\(773\) | −235.370 | + | 124.785i | −0.304489 | + | 0.161430i | −0.613646 | − | 0.789581i | \(-0.710298\pi\) |
0.309157 | + | 0.951011i | \(0.399953\pi\) | |||||||
\(774\) | −584.572 | + | 351.725i | −0.755261 | + | 0.454425i | ||||
\(775\) | −17.8206 | + | 38.5185i | −0.0229943 | + | 0.0497013i | ||||
\(776\) | −938.937 | + | 206.676i | −1.20997 | + | 0.266334i | ||||
\(777\) | 16.4599 | + | 8.72650i | 0.0211840 | + | 0.0112310i | ||||
\(778\) | 2187.26 | − | 118.590i | 2.81139 | − | 0.152429i | ||||
\(779\) | −123.371 | + | 145.244i | −0.158371 | + | 0.186449i | ||||
\(780\) | 5.42106 | − | 24.6281i | 0.00695008 | − | 0.0315745i | ||||
\(781\) | 79.5804 | − | 104.686i | 0.101896 | − | 0.134041i | ||||
\(782\) | 2024.65 | + | 1917.85i | 2.58907 | + | 2.45250i | ||||
\(783\) | −10.7673 | + | 198.592i | −0.0137514 | + | 0.253630i | ||||
\(784\) | 878.623 | + | 528.650i | 1.12069 | + | 0.674299i | ||||
\(785\) | −540.305 | + | 366.336i | −0.688287 | + | 0.466670i | ||||
\(786\) | −278.485 | − | 1003.01i | −0.354307 | − | 1.27610i | ||||
\(787\) | −229.628 | − | 24.9736i | −0.291777 | − | 0.0317327i | −0.0389400 | − | 0.999242i | \(-0.512398\pi\) |
−0.252837 | + | 0.967509i | \(0.581364\pi\) | |||||||
\(788\) | −361.079 | + | 274.485i | −0.458222 | + | 0.348331i | ||||
\(789\) | −191.843 | + | 88.7558i | −0.243147 | + | 0.112492i | ||||
\(790\) | −1559.76 | − | 1057.54i | −1.97438 | − | 1.33866i | ||||
\(791\) | −8.95784 | + | 26.5859i | −0.0113247 | + | 0.0336105i | ||||
\(792\) | 43.0717 | − | 262.726i | 0.0543834 | − | 0.331724i | ||||
\(793\) | 2.14190 | + | 13.0650i | 0.00270100 | + | 0.0164754i | ||||
\(794\) | −2604.34 | + | 877.506i | −3.28003 | + | 1.10517i | ||||
\(795\) | −216.734 | + | 780.607i | −0.272622 | + | 0.981895i | ||||
\(796\) | 568.317 | − | 1426.37i | 0.713967 | − | 1.79192i | ||||
\(797\) | 921.475 | + | 367.149i | 1.15618 | + | 0.460664i | 0.867830 | − | 0.496861i | \(-0.165514\pi\) |
0.288349 | + | 0.957525i | \(0.406894\pi\) | |||||||
\(798\) | −56.8396 | − | 15.7814i | −0.0712276 | − | 0.0197763i | ||||
\(799\) | 184.815 | + | 548.511i | 0.231308 | + | 0.686497i | ||||
\(800\) | 660.392 | − | 108.266i | 0.825490 | − | 0.135332i | ||||
\(801\) | 283.269 | + | 46.4396i | 0.353644 | + | 0.0579770i | ||||
\(802\) | 21.5709 | + | 7.26807i | 0.0268963 | + | 0.00906243i | ||||
\(803\) | 437.555 | − | 645.345i | 0.544900 | − | 0.803668i | ||||
\(804\) | 315.238 | + | 681.376i | 0.392087 | + | 0.847483i | ||||
\(805\) | 52.0453 | + | 68.4644i | 0.0646525 | + | 0.0850489i | ||||
\(806\) | 0.0550141 | − | 0.505846i | 6.82557e−5 | − | 0.000627601i | ||||
\(807\) | −35.5851 | + | 9.88014i | −0.0440955 | + | 0.0122431i | ||||
\(808\) | 750.339 | + | 1106.67i | 0.928638 | + | 1.36964i | ||||
\(809\) | 437.871 | − | 727.747i | 0.541249 | − | 0.899563i | −0.458691 | − | 0.888596i | \(-0.651681\pi\) |
0.999940 | − | 0.0109672i | \(-0.00349103\pi\) | |||||||
\(810\) | −285.554 | − | 15.4823i | −0.352536 | − | 0.0191139i | ||||
\(811\) | −112.573 | + | 118.841i | −0.138807 | + | 0.146537i | −0.791692 | − | 0.610920i | \(-0.790800\pi\) |
0.652885 | + | 0.757457i | \(0.273558\pi\) | |||||||
\(812\) | 83.6547 | + | 63.5927i | 0.103023 | + | 0.0783161i | ||||
\(813\) | −559.133 | − | 123.075i | −0.687741 | − | 0.151383i | ||||
\(814\) | 505.841 | + | 429.666i | 0.621427 | + | 0.527845i | ||||
\(815\) | −103.967 | − | 1917.57i | −0.127567 | − | 2.35284i | ||||
\(816\) | −462.014 | + | 871.450i | −0.566193 | + | 1.06795i | ||||
\(817\) | 410.835 | + | 1866.44i | 0.502858 | + | 2.28451i | ||||
\(818\) | −326.584 | − | 151.094i | −0.399247 | − | 0.184711i | ||||
\(819\) | 0.0970816 | + | 0.161351i | 0.000118537 | + | 0.000197010i | ||||
\(820\) | 228.639 | + | 431.259i | 0.278828 | + | 0.525926i | ||||
\(821\) | −470.761 | + | 399.868i | −0.573400 | + | 0.487050i | −0.886537 | − | 0.462658i | \(-0.846896\pi\) |
0.313137 | + | 0.949708i | \(0.398620\pi\) | |||||||
\(822\) | 953.473 | + | 1006.57i | 1.15994 | + | 1.22454i | ||||
\(823\) | 86.5595 | + | 795.901i | 0.105176 | + | 0.967073i | 0.921209 | + | 0.389068i | \(0.127203\pi\) |
−0.816033 | + | 0.578005i | \(0.803831\pi\) | |||||||
\(824\) | 790.954 | + | 1985.15i | 0.959896 | + | 2.40916i | ||||
\(825\) | − | 559.537i | − | 0.678227i | ||||||
\(826\) | 64.5075 | − | 21.1894i | 0.0780962 | − | 0.0256531i | ||||
\(827\) | 1274.76 | 1.54142 | 0.770712 | − | 0.637183i | \(-0.219901\pi\) | ||||
0.770712 | + | 0.637183i | \(0.219901\pi\) | |||||||
\(828\) | 682.842 | − | 272.069i | 0.824688 | − | 0.328586i | ||||
\(829\) | −910.009 | + | 98.9694i | −1.09772 | + | 0.119384i | −0.639007 | − | 0.769201i | \(-0.720655\pi\) |
−0.458712 | + | 0.888585i | \(0.651689\pi\) | |||||||
\(830\) | 103.586 | − | 98.1221i | 0.124803 | − | 0.118219i | ||||
\(831\) | −39.1961 | − | 46.1452i | −0.0471673 | − | 0.0555297i | ||||
\(832\) | 7.14714 | − | 3.78918i | 0.00859032 | − | 0.00455430i | ||||
\(833\) | −1137.58 | + | 684.457i | −1.36564 | + | 0.821677i | ||||
\(834\) | 422.509 | − | 913.238i | 0.506605 | − | 1.09501i | ||||
\(835\) | 1077.30 | − | 237.131i | 1.29018 | − | 0.283990i | ||||
\(836\) | −1257.81 | − | 666.848i | −1.50456 | − | 0.797665i | ||||
\(837\) | −3.90326 | + | 0.211629i | −0.00466339 | + | 0.000252842i | ||||
\(838\) | −144.337 | + | 169.927i | −0.172240 | + | 0.202776i | ||||
\(839\) | 226.817 | − | 1030.44i | 0.270342 | − | 1.22817i | −0.624227 | − | 0.781243i | \(-0.714586\pi\) |
0.894568 | − | 0.446931i | \(-0.147483\pi\) | |||||||
\(840\) | −47.9018 | + | 63.0138i | −0.0570260 | + | 0.0750164i | ||||
\(841\) | −453.013 | − | 429.117i | −0.538660 | − | 0.510246i | ||||
\(842\) | −83.1025 | + | 1532.74i | −0.0986966 | + | 1.82035i | ||||
\(843\) | 750.022 | + | 451.273i | 0.889706 | + | 0.535318i | ||||
\(844\) | −216.807 | + | 146.999i | −0.256881 | + | 0.174169i | ||||
\(845\) | −407.865 | − | 1469.00i | −0.482681 | − | 1.73846i | ||||
\(846\) | 223.876 | + | 24.3480i | 0.264629 | + | 0.0287802i | ||||
\(847\) | 22.9491 | − | 17.4455i | 0.0270946 | − | 0.0205968i | ||||
\(848\) | 986.667 | − | 456.481i | 1.16352 | − | 0.538303i | ||||
\(849\) | 471.411 | + | 319.624i | 0.555254 | + | 0.376472i | ||||
\(850\) | −1722.49 | + | 5112.16i | −2.02645 | + | 6.01430i | ||||
\(851\) | −155.299 | + | 947.284i | −0.182490 | + | 1.11314i | ||||
\(852\) | 54.0605 | + | 329.755i | 0.0634513 | + | 0.387036i | ||||
\(853\) | 699.835 | − | 235.802i | 0.820440 | − | 0.276438i | 0.122385 | − | 0.992483i | \(-0.460946\pi\) |
0.698055 | + | 0.716044i | \(0.254049\pi\) | |||||||
\(854\) | 21.2219 | − | 76.4345i | 0.0248501 | − | 0.0895018i | ||||
\(855\) | −296.516 | + | 744.200i | −0.346803 | + | 0.870409i | ||||
\(856\) | −871.927 | − | 347.407i | −1.01861 | − | 0.405850i | ||||
\(857\) | 468.812 | + | 130.165i | 0.547039 | + | 0.151885i | 0.530043 | − | 0.847971i | \(-0.322176\pi\) |
0.0169962 | + | 0.999856i | \(0.494590\pi\) | |||||||
\(858\) | 2.14198 | + | 6.35717i | 0.00249648 | + | 0.00740929i | ||||
\(859\) | 316.641 | − | 51.9106i | 0.368616 | − | 0.0604315i | 0.0253725 | − | 0.999678i | \(-0.491923\pi\) |
0.343243 | + | 0.939247i | \(0.388475\pi\) | |||||||
\(860\) | 4830.65 | + | 791.945i | 5.61703 | + | 0.920866i | ||||
\(861\) | −3.45408 | − | 1.16381i | −0.00401170 | − | 0.00135170i | ||||
\(862\) | −694.245 | + | 1023.93i | −0.805388 | + | 1.18786i | ||||
\(863\) | 599.518 | + | 1295.84i | 0.694690 | + | 1.50155i | 0.857278 | + | 0.514854i | \(0.172154\pi\) |
−0.162587 | + | 0.986694i | \(0.551984\pi\) | |||||||
\(864\) | 37.3009 | + | 49.0686i | 0.0431724 | + | 0.0567923i | ||||
\(865\) | 273.010 | − | 2510.28i | 0.315618 | − | 2.90206i | ||||
\(866\) | 1552.66 | − | 431.094i | 1.79291 | − | 0.497799i | ||||
\(867\) | −435.755 | − | 642.690i | −0.502601 | − | 0.741280i | ||||
\(868\) | −1.06480 | + | 1.76971i | −0.00122672 | + | 0.00203883i | ||||
\(869\) | 339.105 | + | 18.3858i | 0.390225 | + | 0.0211574i | ||||
\(870\) | 1448.64 | − | 1529.31i | 1.66510 | − | 1.75782i | ||||
\(871\) | −7.88932 | − | 5.99730i | −0.00905777 | − | 0.00688554i | ||||
\(872\) | 1791.67 | + | 394.376i | 2.05467 | + | 0.452266i | ||||
\(873\) | −141.842 | − | 120.481i | −0.162476 | − | 0.138008i | ||||
\(874\) | −164.555 | − | 3035.03i | −0.188278 | − | 3.47258i | ||||
\(875\) | −43.3924 | + | 81.8467i | −0.0495913 | + | 0.0935391i | ||||
\(876\) | 425.920 | + | 1934.97i | 0.486210 | + | 2.20887i | ||||
\(877\) | −1175.95 | − | 544.050i | −1.34087 | − | 0.620354i | −0.387422 | − | 0.921902i | \(-0.626634\pi\) |
−0.953451 | + | 0.301548i | \(0.902496\pi\) | |||||||
\(878\) | −1250.76 | − | 2078.78i | −1.42456 | − | 2.36763i | ||||
\(879\) | −237.662 | − | 448.279i | −0.270378 | − | 0.509987i | ||||
\(880\) | −825.873 | + | 701.503i | −0.938493 | + | 0.797163i | ||||
\(881\) | 582.469 | + | 614.905i | 0.661145 | + | 0.697962i | 0.967190 | − | 0.254055i | \(-0.0817644\pi\) |
−0.306045 | + | 0.952017i | \(0.599006\pi\) | |||||||
\(882\) | 55.8470 | + | 513.504i | 0.0633185 | + | 0.582204i | ||||
\(883\) | 47.8154 | + | 120.008i | 0.0541511 | + | 0.135909i | 0.953564 | − | 0.301192i | \(-0.0973845\pi\) |
−0.899412 | + | 0.437101i | \(0.856005\pi\) | |||||||
\(884\) | − | 43.8141i | − | 0.0495634i | ||||||
\(885\) | −191.356 | − | 902.004i | −0.216221 | − | 1.01921i | ||||
\(886\) | −2651.80 | −2.99300 | ||||||||
\(887\) | −970.444 | + | 386.660i | −1.09407 | + | 0.435919i | −0.846196 | − | 0.532872i | \(-0.821113\pi\) |
−0.247879 | + | 0.968791i | \(0.579733\pi\) | |||||||
\(888\) | −878.328 | + | 95.5239i | −0.989108 | + | 0.107572i | ||||
\(889\) | 20.5567 | − | 19.4723i | 0.0231234 | − | 0.0219036i | ||||
\(890\) | −1968.27 | − | 2317.22i | −2.21153 | − | 2.60362i | ||||
\(891\) | 45.5324 | − | 24.1397i | 0.0511025 | − | 0.0270928i | ||||
\(892\) | −2421.62 | + | 1457.04i | −2.71482 | + | 1.63346i | ||||
\(893\) | 264.884 | − | 572.537i | 0.296622 | − | 0.641139i | ||||
\(894\) | −357.391 | + | 78.6678i | −0.399766 | + | 0.0879952i | ||||
\(895\) | 670.951 | + | 355.716i | 0.749666 | + | 0.397448i | ||||
\(896\) | −63.8815 | + | 3.46355i | −0.0712963 | + | 0.00386557i | ||||
\(897\) | −6.28131 | + | 7.39493i | −0.00700257 | + | 0.00824407i | ||||
\(898\) | 175.961 | − | 799.397i | 0.195947 | − | 0.890197i | ||||
\(899\) | 17.4253 | − | 22.9226i | 0.0193830 | − | 0.0254979i | ||||
\(900\) | 1032.26 | + | 977.805i | 1.14695 | + | 1.08645i | ||||
\(901\) | −76.2036 | + | 1405.49i | −0.0845767 | + | 1.55992i | ||||
\(902\) | −111.261 | − | 66.9435i | −0.123349 | − | 0.0742167i | ||||
\(903\) | −30.2544 | + | 20.5130i | −0.0335043 | + | 0.0227165i | ||||
\(904\) | −355.932 | − | 1281.95i | −0.393730 | − | 1.41809i | ||||
\(905\) | −2037.32 | − | 221.572i | −2.25118 | − | 0.244831i | ||||
\(906\) | 751.762 | − | 571.475i | 0.829759 | − | 0.630767i | ||||
\(907\) | 1359.61 | − | 629.024i | 1.49902 | − | 0.693521i | 0.512733 | − | 0.858548i | \(-0.328633\pi\) |
0.986289 | + | 0.165027i | \(0.0527711\pi\) | |||||||
\(908\) | 86.5337 | + | 58.6713i | 0.0953014 | + | 0.0646160i | ||||
\(909\) | −82.6413 | + | 245.271i | −0.0909145 | + | 0.269825i | ||||
\(910\) | 0.322667 | − | 1.96818i | 0.000354579 | − | 0.00216284i | ||||
\(911\) | −36.6410 | − | 223.500i | −0.0402206 | − | 0.245335i | 0.959062 | − | 0.283195i | \(-0.0913942\pi\) |
−0.999283 | + | 0.0378598i | \(0.987946\pi\) | |||||||
\(912\) | 1018.74 | − | 343.254i | 1.11704 | − | 0.376375i | ||||
\(913\) | −6.87892 | + | 24.7756i | −0.00753441 | + | 0.0271365i | ||||
\(914\) | −323.176 | + | 811.110i | −0.353584 | + | 0.887429i | ||||
\(915\) | −1000.76 | − | 398.737i | −1.09372 | − | 0.435779i | ||||
\(916\) | 733.013 | + | 203.520i | 0.800233 | + | 0.222184i | ||||
\(917\) | −17.8084 | − | 52.8536i | −0.0194203 | − | 0.0576375i | ||||
\(918\) | −490.314 | + | 80.3828i | −0.534111 | + | 0.0875630i | ||||
\(919\) | −396.262 | − | 64.9639i | −0.431189 | − | 0.0706898i | −0.0577205 | − | 0.998333i | \(-0.518383\pi\) |
−0.373468 | + | 0.927643i | \(0.621831\pi\) | |||||||
\(920\) | −3864.96 | − | 1302.26i | −4.20104 | − | 1.41550i | ||||
\(921\) | −89.7149 | + | 132.320i | −0.0974103 | + | 0.143669i | ||||
\(922\) | −316.739 | − | 684.621i | −0.343535 | − | 0.742539i | ||||
\(923\) | −2.66933 | − | 3.51144i | −0.00289201 | − | 0.00380438i | ||||
\(924\) | 2.94400 | − | 27.0696i | 0.00318614 | − | 0.0292961i | ||||
\(925\) | −1789.17 | + | 496.761i | −1.93424 | + | 0.537039i | ||||
\(926\) | 1041.76 | + | 1536.47i | 1.12501 | + | 1.65926i | ||||
\(927\) | −213.259 | + | 354.440i | −0.230053 | + | 0.382351i | ||||
\(928\) | −453.354 | − | 24.5801i | −0.488528 | − | 0.0264872i | ||||
\(929\) | 533.166 | − | 562.857i | 0.573914 | − | 0.605874i | −0.372815 | − | 0.927906i | \(-0.621607\pi\) |
0.946729 | + | 0.322032i | \(0.104366\pi\) | |||||||
\(930\) | 32.9603 | + | 25.0557i | 0.0354411 | + | 0.0269416i | ||||
\(931\) | 1413.13 | + | 311.054i | 1.51786 | + | 0.334107i | ||||
\(932\) | −1603.50 | − | 1362.02i | −1.72049 | − | 1.46140i | ||||
\(933\) | −4.96294 | − | 91.5361i | −0.00531934 | − | 0.0981095i | ||||
\(934\) | 309.434 | − | 583.655i | 0.331300 | − | 0.624899i | ||||
\(935\) | −301.594 | − | 1370.16i | −0.322560 | − | 1.46541i | ||||
\(936\) | −8.10476 | − | 3.74966i | −0.00865893 | − | 0.00400605i | ||||
\(937\) | 762.030 | + | 1266.50i | 0.813266 | + | 1.35166i | 0.933377 | + | 0.358898i | \(0.116847\pi\) |
−0.120111 | + | 0.992760i | \(0.538325\pi\) | |||||||
\(938\) | 27.8130 | + | 52.4608i | 0.0296514 | + | 0.0559284i | ||||
\(939\) | 539.833 | − | 458.538i | 0.574902 | − | 0.488326i | ||||
\(940\) | −1111.21 | − | 1173.09i | −1.18214 | − | 1.24797i | ||||
\(941\) | 182.165 | + | 1674.98i | 0.193587 | + | 1.78000i | 0.539747 | + | 0.841827i | \(0.318520\pi\) |
−0.346161 | + | 0.938175i | \(0.612515\pi\) | |||||||
\(942\) | 163.331 | + | 409.930i | 0.173388 | + | 0.435170i | ||||
\(943\) | − | 187.805i | − | 0.199157i | ||||||
\(944\) | −756.302 | + | 979.326i | −0.801167 | + | 1.03742i | ||||
\(945\) | −15.3221 | −0.0162138 | ||||||||
\(946\) | −1209.70 | + | 481.989i | −1.27875 | + | 0.509502i | ||||
\(947\) | −205.734 | + | 22.3749i | −0.217248 | + | 0.0236271i | −0.216095 | − | 0.976372i | \(-0.569332\pi\) |
−0.00115214 | + | 0.999999i | \(0.500367\pi\) | |||||||
\(948\) | −626.514 | + | 593.465i | −0.660879 | + | 0.626018i | ||||
\(949\) | −16.9311 | − | 19.9328i | −0.0178410 | − | 0.0210040i | ||||
\(950\) | 5194.60 | − | 2754.00i | 5.46800 | − | 2.89895i | ||||
\(951\) | −360.084 | + | 216.655i | −0.378637 | + | 0.227819i | ||||
\(952\) | −57.7449 | + | 124.814i | −0.0606564 | + | 0.131107i | ||||
\(953\) | −965.453 | + | 212.512i | −1.01307 | + | 0.222993i | −0.690329 | − | 0.723496i | \(-0.742534\pi\) |
−0.322738 | + | 0.946488i | \(0.604603\pi\) | |||||||
\(954\) | 483.842 | + | 256.517i | 0.507172 | + | 0.268886i | ||||
\(955\) | 2085.93 | − | 113.096i | 2.18422 | − | 0.118425i | ||||
\(956\) | −299.927 | + | 353.101i | −0.313731 | + | 0.369352i | ||||
\(957\) | −81.6059 | + | 370.739i | −0.0852726 | + | 0.387398i | ||||
\(958\) | 1144.32 | − | 1505.32i | 1.19449 | − | 1.57132i | ||||
\(959\) | 53.9307 | + | 51.0858i | 0.0562364 | + | 0.0532699i | ||||
\(960\) | −35.6356 | + | 657.261i | −0.0371204 | + | 0.684646i | ||||
\(961\) | −822.955 | − | 495.155i | −0.856353 | − | 0.515250i | ||||
\(962\) | 18.4260 | − | 12.4931i | 0.0191538 | − | 0.0129866i | ||||
\(963\) | −48.6062 | − | 175.064i | −0.0504737 | − | 0.181790i | ||||
\(964\) | 2647.66 | + | 287.950i | 2.74653 | + | 0.298704i | ||||
\(965\) | −185.729 | + | 141.187i | −0.192465 | + | 0.146308i | ||||
\(966\) | 52.7614 | − | 24.4100i | 0.0546185 | − | 0.0252692i | ||||
\(967\) | −1042.41 | − | 706.771i | −1.07798 | − | 0.730891i | −0.113103 | − | 0.993583i | \(-0.536079\pi\) |
−0.964880 | + | 0.262693i | \(0.915390\pi\) | |||||||
\(968\) | −436.514 | + | 1295.53i | −0.450944 | + | 1.33835i | ||||
\(969\) | −225.176 | + | 1373.51i | −0.232380 | + | 1.41746i | ||||
\(970\) | 318.896 | + | 1945.18i | 0.328758 | + | 2.00534i | ||||
\(971\) | 1002.44 | − | 337.761i | 1.03238 | − | 0.347848i | 0.248413 | − | 0.968654i | \(-0.420091\pi\) |
0.783964 | + | 0.620806i | \(0.213195\pi\) | |||||||
\(972\) | −35.0350 | + | 126.185i | −0.0360442 | + | 0.129820i | ||||
\(973\) | 19.9553 | − | 50.0839i | 0.0205090 | − | 0.0514737i | ||||
\(974\) | −982.791 | − | 391.580i | −1.00903 | − | 0.402033i | ||||
\(975\) | −18.0842 | − | 5.02105i | −0.0185479 | − | 0.00514980i | ||||
\(976\) | 461.587 | + | 1369.94i | 0.472938 | + | 1.40363i | ||||
\(977\) | −688.328 | + | 112.846i | −0.704532 | + | 0.115502i | −0.503389 | − | 0.864060i | \(-0.667914\pi\) |
−0.201143 | + | 0.979562i | \(0.564465\pi\) | |||||||
\(978\) | −1281.04 | − | 210.015i | −1.30985 | − | 0.214740i | ||||
\(979\) | 519.220 | + | 174.946i | 0.530358 | + | 0.178698i | ||||
\(980\) | 2079.89 | − | 3067.61i | 2.12234 | − | 3.13021i | ||||
\(981\) | 149.112 | + | 322.300i | 0.152000 | + | 0.328543i | ||||
\(982\) | −1397.57 | − | 1838.48i | −1.42319 | − | 1.87218i | ||||
\(983\) | −32.8296 | + | 301.863i | −0.0333974 | + | 0.307084i | 0.965511 | + | 0.260364i | \(0.0838424\pi\) |
−0.998908 | + | 0.0467201i | \(0.985123\pi\) | |||||||
\(984\) | 166.553 | − | 46.2431i | 0.169261 | − | 0.0469950i | ||||
\(985\) | 273.383 | + | 403.210i | 0.277547 | + | 0.409350i | ||||
\(986\) | 1886.87 | − | 3136.01i | 1.91366 | − | 3.18053i | ||||
\(987\) | 12.0480 | + | 0.653225i | 0.0122067 | + | 0.000661829i | ||||
\(988\) | −32.8395 | + | 34.6683i | −0.0332384 | + | 0.0350893i | ||||
\(989\) | −1499.37 | − | 1139.79i | −1.51605 | − | 1.15247i | ||||
\(990\) | −533.083 | − | 117.341i | −0.538468 | − | 0.118526i | ||||
\(991\) | −818.776 | − | 695.474i | −0.826211 | − | 0.701790i | 0.130936 | − | 0.991391i | \(-0.458202\pi\) |
−0.957148 | + | 0.289600i | \(0.906478\pi\) | |||||||
\(992\) | −0.483115 | − | 8.91053i | −0.000487011 | − | 0.00898238i | ||||
\(993\) | 120.968 | − | 228.170i | 0.121821 | − | 0.229779i | ||||
\(994\) | 5.68130 | + | 25.8104i | 0.00571559 | + | 0.0259662i | ||||
\(995\) | −1496.70 | − | 692.449i | −1.50423 | − | 0.695929i | ||||
\(996\) | −33.6860 | − | 55.9865i | −0.0338212 | − | 0.0562113i | ||||
\(997\) | 407.602 | + | 768.819i | 0.408828 | + | 0.771132i | 0.999356 | − | 0.0358852i | \(-0.0114251\pi\) |
−0.590527 | + | 0.807018i | \(0.701080\pi\) | |||||||
\(998\) | −1975.47 | + | 1677.98i | −1.97943 | + | 1.68135i | ||||
\(999\) | −117.613 | − | 124.162i | −0.117731 | − | 0.124287i |
(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.g.a.124.19 | yes | 560 | |
59.10 | odd | 58 | inner | 177.3.g.a.10.19 | ✓ | 560 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.3.g.a.10.19 | ✓ | 560 | 59.10 | odd | 58 | inner | |
177.3.g.a.124.19 | yes | 560 | 1.1 | even | 1 | trivial |