Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(4,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([3, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.t (of order \(30\), degree \(8\), 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: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 4.1 | ||
Character | \(\chi\) | \(=\) | 175.4 |
Dual form | 175.2.t.a.44.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.561630 | − | 2.64226i | −0.397132 | − | 1.86836i | −0.488530 | − | 0.872547i | \(-0.662467\pi\) |
0.0913979 | − | 0.995814i | \(-0.470866\pi\) | |||||||
\(3\) | −0.981775 | − | 2.20510i | −0.566828 | − | 1.27312i | −0.938669 | − | 0.344820i | \(-0.887940\pi\) |
0.371841 | − | 0.928296i | \(-0.378727\pi\) | |||||||
\(4\) | −4.83903 | + | 2.15447i | −2.41951 | + | 1.07724i | ||||
\(5\) | 2.14180 | − | 0.642423i | 0.957841 | − | 0.287300i | ||||
\(6\) | −5.27506 | + | 3.83256i | −2.15354 | + | 1.56464i | ||||
\(7\) | −2.42948 | − | 1.04767i | −0.918258 | − | 0.395982i | ||||
\(8\) | 5.23487 | + | 7.20518i | 1.85081 | + | 2.54742i | ||||
\(9\) | −1.89120 | + | 2.10039i | −0.630400 | + | 0.700131i | ||||
\(10\) | −2.90035 | − | 5.29838i | −0.917170 | − | 1.67550i | ||||
\(11\) | −0.529229 | − | 0.587768i | −0.159569 | − | 0.177219i | 0.658059 | − | 0.752966i | \(-0.271378\pi\) |
−0.817627 | + | 0.575748i | \(0.804711\pi\) | |||||||
\(12\) | 9.50167 | + | 8.55534i | 2.74290 | + | 2.46971i | ||||
\(13\) | 3.83804 | − | 1.24706i | 1.06448 | − | 0.345871i | 0.276145 | − | 0.961116i | \(-0.410943\pi\) |
0.788336 | + | 0.615245i | \(0.210943\pi\) | |||||||
\(14\) | −1.40375 | + | 7.00773i | −0.375168 | + | 1.87290i | ||||
\(15\) | −3.51937 | − | 4.09217i | −0.908697 | − | 1.05659i | ||||
\(16\) | 9.00918 | − | 10.0057i | 2.25229 | − | 2.50143i | ||||
\(17\) | 1.05408 | − | 0.110788i | 0.255652 | − | 0.0268701i | 0.0241643 | − | 0.999708i | \(-0.492308\pi\) |
0.231487 | + | 0.972838i | \(0.425641\pi\) | |||||||
\(18\) | 6.61194 | + | 3.81741i | 1.55845 | + | 0.899771i | ||||
\(19\) | −3.10717 | − | 1.38340i | −0.712834 | − | 0.317374i | 0.0180870 | − | 0.999836i | \(-0.494242\pi\) |
−0.730921 | + | 0.682462i | \(0.760909\pi\) | |||||||
\(20\) | −8.98013 | + | 7.72315i | −2.00802 | + | 1.72695i | ||||
\(21\) | 0.0749839 | + | 6.38583i | 0.0163628 | + | 1.39350i | ||||
\(22\) | −1.25581 | + | 1.72847i | −0.267739 | + | 0.368511i | ||||
\(23\) | 0.333106 | + | 1.56714i | 0.0694574 | + | 0.326771i | 0.999134 | − | 0.0416051i | \(-0.0132471\pi\) |
−0.929677 | + | 0.368376i | \(0.879914\pi\) | |||||||
\(24\) | 10.7487 | − | 18.6173i | 2.19407 | − | 3.80024i | ||||
\(25\) | 4.17459 | − | 2.75188i | 0.834917 | − | 0.550376i | ||||
\(26\) | −5.45061 | − | 9.44073i | −1.06895 | − | 1.85148i | ||||
\(27\) | −0.398625 | − | 0.129521i | −0.0767154 | − | 0.0249263i | ||||
\(28\) | 14.0135 | − | 0.164550i | 2.64831 | − | 0.0310970i | ||||
\(29\) | −2.53946 | − | 1.84502i | −0.471565 | − | 0.342612i | 0.326486 | − | 0.945202i | \(-0.394135\pi\) |
−0.798051 | + | 0.602590i | \(0.794135\pi\) | |||||||
\(30\) | −8.83599 | + | 11.5974i | −1.61322 | + | 2.11738i | ||||
\(31\) | 0.730149 | + | 6.94690i | 0.131139 | + | 1.24770i | 0.840091 | + | 0.542445i | \(0.182501\pi\) |
−0.708953 | + | 0.705256i | \(0.750832\pi\) | |||||||
\(32\) | −16.0717 | − | 9.27901i | −2.84111 | − | 1.64031i | ||||
\(33\) | −0.776506 | + | 1.74406i | −0.135172 | + | 0.303602i | ||||
\(34\) | −0.884733 | − | 2.72293i | −0.151730 | − | 0.466978i | ||||
\(35\) | −5.87651 | − | 0.683142i | −0.993311 | − | 0.115472i | ||||
\(36\) | 4.62634 | − | 14.2384i | 0.771056 | − | 2.37307i | ||||
\(37\) | −5.99364 | − | 5.39669i | −0.985348 | − | 0.887211i | 0.00827529 | − | 0.999966i | \(-0.497366\pi\) |
−0.993623 | + | 0.112755i | \(0.964033\pi\) | |||||||
\(38\) | −1.91023 | + | 8.98692i | −0.309880 | + | 1.45787i | ||||
\(39\) | −6.51798 | − | 7.23895i | −1.04371 | − | 1.15916i | ||||
\(40\) | 15.8408 | + | 12.0690i | 2.50465 | + | 1.90828i | ||||
\(41\) | 0.884702 | + | 2.72283i | 0.138167 | + | 0.425235i | 0.996069 | − | 0.0885784i | \(-0.0282324\pi\) |
−0.857902 | + | 0.513813i | \(0.828232\pi\) | |||||||
\(42\) | 16.8309 | − | 3.78460i | 2.59707 | − | 0.583977i | ||||
\(43\) | − | 5.98624i | − | 0.912893i | −0.889751 | − | 0.456446i | \(-0.849122\pi\) | ||
0.889751 | − | 0.456446i | \(-0.150878\pi\) | |||||||
\(44\) | 3.82729 | + | 1.70402i | 0.576985 | + | 0.256890i | ||||
\(45\) | −2.70123 | + | 5.71356i | −0.402675 | + | 0.851728i | ||||
\(46\) | 3.95371 | − | 1.76031i | 0.582943 | − | 0.259543i | ||||
\(47\) | 1.29841 | + | 0.136468i | 0.189392 | + | 0.0199059i | 0.198749 | − | 0.980050i | \(-0.436312\pi\) |
−0.00935757 | + | 0.999956i | \(0.502979\pi\) | |||||||
\(48\) | −30.9086 | − | 10.0428i | −4.46127 | − | 1.44955i | ||||
\(49\) | 4.80477 | + | 5.09060i | 0.686396 | + | 0.727228i | ||||
\(50\) | −9.61576 | − | 9.48481i | −1.35987 | − | 1.34135i | ||||
\(51\) | −1.27917 | − | 2.21558i | −0.179119 | − | 0.310243i | ||||
\(52\) | −15.8857 | + | 14.3035i | −2.20294 | + | 1.98354i | ||||
\(53\) | −4.04402 | − | 9.08301i | −0.555488 | − | 1.24765i | −0.945134 | − | 0.326683i | \(-0.894069\pi\) |
0.389646 | − | 0.920965i | \(-0.372597\pi\) | |||||||
\(54\) | −0.118349 | + | 1.12601i | −0.0161052 | + | 0.153231i | ||||
\(55\) | −1.51110 | − | 0.918892i | −0.203756 | − | 0.123903i | ||||
\(56\) | −5.16937 | − | 22.9893i | −0.690786 | − | 3.07207i | ||||
\(57\) | 8.20982i | 1.08742i | ||||||||
\(58\) | −3.44880 | + | 7.74613i | −0.452849 | + | 1.01712i | ||||
\(59\) | 7.54925 | + | 1.60464i | 0.982829 | + | 0.208907i | 0.671183 | − | 0.741291i | \(-0.265786\pi\) |
0.311646 | + | 0.950198i | \(0.399120\pi\) | |||||||
\(60\) | 25.8468 | + | 12.2197i | 3.33681 | + | 1.57756i | ||||
\(61\) | 8.49115 | − | 1.80485i | 1.08718 | − | 0.231087i | 0.370741 | − | 0.928736i | \(-0.379104\pi\) |
0.716440 | + | 0.697649i | \(0.245771\pi\) | |||||||
\(62\) | 17.9455 | − | 5.83084i | 2.27908 | − | 0.740517i | ||||
\(63\) | 6.79516 | − | 3.12151i | 0.856110 | − | 0.393273i | ||||
\(64\) | −7.17000 | + | 22.0670i | −0.896250 | + | 2.75837i | ||||
\(65\) | 7.41917 | − | 5.13659i | 0.920235 | − | 0.637115i | ||||
\(66\) | 5.04437 | + | 1.07221i | 0.620919 | + | 0.131980i | ||||
\(67\) | 10.3453 | − | 1.08734i | 1.26388 | − | 0.132840i | 0.551229 | − | 0.834354i | \(-0.314159\pi\) |
0.712655 | + | 0.701515i | \(0.247493\pi\) | |||||||
\(68\) | −4.86203 | + | 2.80709i | −0.589607 | + | 0.340410i | ||||
\(69\) | 3.12867 | − | 2.27311i | 0.376647 | − | 0.273650i | ||||
\(70\) | 1.49538 | + | 15.9109i | 0.178732 | + | 1.90172i | ||||
\(71\) | 3.76855 | + | 2.73801i | 0.447245 | + | 0.324943i | 0.788507 | − | 0.615026i | \(-0.210854\pi\) |
−0.341262 | + | 0.939968i | \(0.610854\pi\) | |||||||
\(72\) | −25.0339 | − | 2.63117i | −2.95027 | − | 0.310086i | ||||
\(73\) | 5.65581 | − | 5.09251i | 0.661962 | − | 0.596033i | −0.268120 | − | 0.963386i | \(-0.586402\pi\) |
0.930082 | + | 0.367352i | \(0.119736\pi\) | |||||||
\(74\) | −10.8933 | + | 18.8677i | −1.26632 | + | 2.19333i | ||||
\(75\) | −10.1667 | − | 6.50366i | −1.17395 | − | 0.750978i | ||||
\(76\) | 18.0162 | 2.06660 | ||||||||
\(77\) | 0.669965 | + | 1.98243i | 0.0763496 | + | 0.225919i | ||||
\(78\) | −15.4665 | + | 21.2878i | −1.75124 | + | 2.41037i | ||||
\(79\) | 1.19073 | − | 11.3290i | 0.133967 | − | 1.27461i | −0.696504 | − | 0.717553i | \(-0.745262\pi\) |
0.830471 | − | 0.557062i | \(-0.188071\pi\) | |||||||
\(80\) | 12.8679 | − | 27.2179i | 1.43868 | − | 3.04305i | ||||
\(81\) | 0.992057 | + | 9.43879i | 0.110229 | + | 1.04875i | ||||
\(82\) | 6.69756 | − | 3.86684i | 0.739622 | − | 0.427021i | ||||
\(83\) | 0.745124 | + | 1.02557i | 0.0817879 | + | 0.112571i | 0.847951 | − | 0.530075i | \(-0.177836\pi\) |
−0.766163 | + | 0.642647i | \(0.777836\pi\) | |||||||
\(84\) | −14.1210 | − | 30.7397i | −1.54072 | − | 3.35397i | ||||
\(85\) | 2.18645 | − | 0.914449i | 0.237154 | − | 0.0991860i | ||||
\(86\) | −15.8172 | + | 3.36205i | −1.70561 | + | 0.362539i | ||||
\(87\) | −1.57529 | + | 7.41115i | −0.168889 | + | 0.794559i | ||||
\(88\) | 1.46453 | − | 6.89008i | 0.156120 | − | 0.734485i | ||||
\(89\) | 5.00135 | − | 1.06307i | 0.530142 | − | 0.112685i | 0.0649393 | − | 0.997889i | \(-0.479315\pi\) |
0.465203 | + | 0.885204i | \(0.345981\pi\) | |||||||
\(90\) | 16.6138 | + | 3.92845i | 1.75125 | + | 0.414095i | ||||
\(91\) | −10.6310 | − | 0.991305i | −1.11443 | − | 0.103917i | ||||
\(92\) | −4.98827 | − | 6.86577i | −0.520063 | − | 0.715806i | ||||
\(93\) | 14.6018 | − | 8.43035i | 1.51413 | − | 0.874186i | ||||
\(94\) | −0.368640 | − | 3.50737i | −0.0380223 | − | 0.361758i | ||||
\(95\) | −7.54366 | − | 0.966847i | −0.773963 | − | 0.0991964i | ||||
\(96\) | −4.68236 | + | 44.5497i | −0.477891 | + | 4.54683i | ||||
\(97\) | −2.62905 | + | 3.61858i | −0.266940 | + | 0.367411i | −0.921354 | − | 0.388726i | \(-0.872915\pi\) |
0.654414 | + | 0.756137i | \(0.272915\pi\) | |||||||
\(98\) | 10.7522 | − | 15.5545i | 1.08613 | − | 1.57124i | ||||
\(99\) | 2.23542 | 0.224668 | ||||||||
\(100\) | −14.2721 | + | 22.3105i | −1.42721 | + | 2.23105i | ||||
\(101\) | −5.44489 | + | 9.43083i | −0.541787 | + | 0.938403i | 0.457014 | + | 0.889459i | \(0.348919\pi\) |
−0.998802 | + | 0.0489435i | \(0.984415\pi\) | |||||||
\(102\) | −5.13573 | + | 4.62423i | −0.508513 | + | 0.457867i | ||||
\(103\) | −2.63954 | − | 0.277427i | −0.260082 | − | 0.0273357i | −0.0264100 | − | 0.999651i | \(-0.508408\pi\) |
−0.233672 | + | 0.972315i | \(0.575074\pi\) | |||||||
\(104\) | 29.0769 | + | 21.1256i | 2.85123 | + | 2.07154i | ||||
\(105\) | 4.26301 | + | 13.6290i | 0.416027 | + | 1.33005i | ||||
\(106\) | −21.7285 | + | 15.7866i | −2.11045 | + | 1.53333i | ||||
\(107\) | −1.41306 | + | 0.815828i | −0.136605 | + | 0.0788691i | −0.566745 | − | 0.823893i | \(-0.691798\pi\) |
0.430140 | + | 0.902762i | \(0.358464\pi\) | |||||||
\(108\) | 2.20801 | − | 0.232071i | 0.212466 | − | 0.0223310i | ||||
\(109\) | −0.396133 | − | 0.0842008i | −0.0379427 | − | 0.00806497i | 0.188901 | − | 0.981996i | \(-0.439507\pi\) |
−0.226844 | + | 0.973931i | \(0.572841\pi\) | |||||||
\(110\) | −1.57927 | + | 4.50879i | −0.150578 | + | 0.429896i | ||||
\(111\) | −6.01586 | + | 18.5149i | −0.571000 | + | 1.75736i | ||||
\(112\) | −32.3703 | + | 14.8700i | −3.05871 | + | 1.40509i | ||||
\(113\) | −16.9623 | + | 5.51140i | −1.59568 | + | 0.518469i | −0.966035 | − | 0.258412i | \(-0.916801\pi\) |
−0.629648 | + | 0.776881i | \(0.716801\pi\) | |||||||
\(114\) | 21.6925 | − | 4.61088i | 2.03169 | − | 0.431848i | ||||
\(115\) | 1.72021 | + | 3.14250i | 0.160411 | + | 0.293040i | ||||
\(116\) | 16.2636 | + | 3.45692i | 1.51003 | + | 0.320967i | ||||
\(117\) | −4.63921 | + | 10.4198i | −0.428895 | + | 0.963313i | ||||
\(118\) | − | 20.8483i | − | 1.91924i | ||||||
\(119\) | −2.67693 | − | 0.835169i | −0.245394 | − | 0.0765598i | ||||
\(120\) | 11.0614 | − | 46.7797i | 1.00976 | − | 4.27038i | ||||
\(121\) | 1.08442 | − | 10.3176i | 0.0985841 | − | 0.937965i | ||||
\(122\) | −9.53777 | − | 21.4222i | −0.863509 | − | 1.93947i | ||||
\(123\) | 5.13555 | − | 4.62407i | 0.463057 | − | 0.416938i | ||||
\(124\) | −18.5001 | − | 32.0432i | −1.66136 | − | 2.87756i | ||||
\(125\) | 7.17325 | − | 8.57581i | 0.641595 | − | 0.767044i | ||||
\(126\) | −12.0642 | − | 16.2015i | −1.07477 | − | 1.44334i | ||||
\(127\) | 17.9783 | + | 5.84150i | 1.59531 | + | 0.518349i | 0.965943 | − | 0.258755i | \(-0.0833123\pi\) |
0.629372 | + | 0.777104i | \(0.283312\pi\) | |||||||
\(128\) | 25.4210 | + | 2.67185i | 2.24692 | + | 0.236160i | ||||
\(129\) | −13.2003 | + | 5.87714i | −1.16222 | + | 0.517453i | ||||
\(130\) | −17.7390 | − | 16.7185i | −1.55582 | − | 1.46631i | ||||
\(131\) | 9.46829 | + | 4.21555i | 0.827248 | + | 0.368315i | 0.776282 | − | 0.630386i | \(-0.217103\pi\) |
0.0509662 | + | 0.998700i | \(0.483770\pi\) | |||||||
\(132\) | − | 10.1125i | − | 0.880182i | ||||||
\(133\) | 6.09947 | + | 6.61624i | 0.528891 | + | 0.573701i | ||||
\(134\) | −8.68328 | − | 26.7244i | −0.750121 | − | 2.30864i | ||||
\(135\) | −0.936981 | − | 0.0213221i | −0.0806425 | − | 0.00183511i | ||||
\(136\) | 6.31621 | + | 7.01486i | 0.541611 | + | 0.601520i | ||||
\(137\) | −2.72027 | + | 12.7979i | −0.232408 | + | 1.09340i | 0.694903 | + | 0.719104i | \(0.255447\pi\) |
−0.927311 | + | 0.374292i | \(0.877886\pi\) | |||||||
\(138\) | −7.76331 | − | 6.99011i | −0.660857 | − | 0.595038i | ||||
\(139\) | 0.812615 | − | 2.50097i | 0.0689251 | − | 0.212130i | −0.910661 | − | 0.413154i | \(-0.864427\pi\) |
0.979586 | + | 0.201024i | \(0.0644271\pi\) | |||||||
\(140\) | 29.9084 | − | 9.35503i | 2.52772 | − | 0.790645i | ||||
\(141\) | −0.973816 | − | 2.99710i | −0.0820101 | − | 0.252401i | ||||
\(142\) | 5.11802 | − | 11.4953i | 0.429495 | − | 0.964661i | ||||
\(143\) | −2.76418 | − | 1.59590i | −0.231153 | − | 0.133456i | ||||
\(144\) | 3.97773 | + | 37.8456i | 0.331478 | + | 3.15380i | ||||
\(145\) | −6.62428 | − | 2.32026i | −0.550117 | − | 0.192687i | ||||
\(146\) | −16.6322 | − | 12.0840i | −1.37649 | − | 1.00008i | ||||
\(147\) | 6.50808 | − | 15.5928i | 0.536777 | − | 1.28607i | ||||
\(148\) | 40.6304 | + | 13.2016i | 3.33980 | + | 1.08517i | ||||
\(149\) | 0.0693704 | + | 0.120153i | 0.00568305 | + | 0.00984333i | 0.868853 | − | 0.495070i | \(-0.164858\pi\) |
−0.863170 | + | 0.504914i | \(0.831524\pi\) | |||||||
\(150\) | −11.4745 | + | 30.5157i | −0.936887 | + | 2.49159i | ||||
\(151\) | 6.43576 | − | 11.1471i | 0.523735 | − | 0.907135i | −0.475884 | − | 0.879508i | \(-0.657872\pi\) |
0.999618 | − | 0.0276269i | \(-0.00879502\pi\) | |||||||
\(152\) | −6.29798 | − | 29.6297i | −0.510833 | − | 2.40328i | ||||
\(153\) | −1.76078 | + | 2.42350i | −0.142350 | + | 0.195928i | ||||
\(154\) | 4.86183 | − | 2.88362i | 0.391777 | − | 0.232368i | ||||
\(155\) | 6.02668 | + | 14.4098i | 0.484075 | + | 1.15742i | ||||
\(156\) | 47.1368 | + | 20.9867i | 3.77397 | + | 1.68028i | ||||
\(157\) | −7.65142 | − | 4.41755i | −0.610650 | − | 0.352559i | 0.162570 | − | 0.986697i | \(-0.448022\pi\) |
−0.773220 | + | 0.634138i | \(0.781355\pi\) | |||||||
\(158\) | −30.6030 | + | 3.21651i | −2.43464 | + | 0.255891i | ||||
\(159\) | −16.0587 | + | 17.8349i | −1.27353 | + | 1.41440i | ||||
\(160\) | −40.3834 | − | 9.54892i | −3.19259 | − | 0.754908i | ||||
\(161\) | 0.832571 | − | 4.15632i | 0.0656158 | − | 0.327564i | ||||
\(162\) | 24.3826 | − | 7.92238i | 1.91568 | − | 0.622441i | ||||
\(163\) | 1.69380 | + | 1.52511i | 0.132669 | + | 0.119456i | 0.732794 | − | 0.680450i | \(-0.238216\pi\) |
−0.600125 | + | 0.799906i | \(0.704883\pi\) | |||||||
\(164\) | −10.1474 | − | 11.2698i | −0.792377 | − | 0.880023i | ||||
\(165\) | −0.542693 | + | 4.23427i | −0.0422486 | + | 0.329637i | ||||
\(166\) | 2.29135 | − | 2.54481i | 0.177844 | − | 0.197515i | ||||
\(167\) | 3.72673 | + | 5.12940i | 0.288383 | + | 0.396925i | 0.928488 | − | 0.371362i | \(-0.121109\pi\) |
−0.640105 | + | 0.768287i | \(0.721109\pi\) | |||||||
\(168\) | −45.6186 | + | 33.9693i | −3.51955 | + | 2.62079i | ||||
\(169\) | 2.65820 | − | 1.93130i | 0.204477 | − | 0.148561i | ||||
\(170\) | −3.64419 | − | 5.26359i | −0.279497 | − | 0.403699i | ||||
\(171\) | 8.78197 | − | 3.90998i | 0.671574 | − | 0.299004i | ||||
\(172\) | 12.8972 | + | 28.9676i | 0.983402 | + | 2.20876i | ||||
\(173\) | 4.63482 | + | 21.8051i | 0.352379 | + | 1.65781i | 0.695505 | + | 0.718521i | \(0.255181\pi\) |
−0.343126 | + | 0.939289i | \(0.611486\pi\) | |||||||
\(174\) | 20.4669 | 1.55159 | ||||||||
\(175\) | −13.0251 | + | 2.31205i | −0.984608 | + | 0.174774i | ||||
\(176\) | −10.6490 | −0.802695 | ||||||||
\(177\) | −3.87326 | − | 18.2223i | −0.291132 | − | 1.36967i | ||||
\(178\) | −5.61782 | − | 12.6178i | −0.421074 | − | 0.945747i | ||||
\(179\) | 15.0105 | − | 6.68309i | 1.12194 | − | 0.499518i | 0.239945 | − | 0.970786i | \(-0.422870\pi\) |
0.881990 | + | 0.471269i | \(0.156204\pi\) | |||||||
\(180\) | 0.761600 | − | 33.4678i | 0.0567663 | − | 2.49454i | ||||
\(181\) | 11.5432 | − | 8.38666i | 0.858002 | − | 0.623375i | −0.0693384 | − | 0.997593i | \(-0.522089\pi\) |
0.927341 | + | 0.374218i | \(0.122089\pi\) | |||||||
\(182\) | 3.35138 | + | 28.6465i | 0.248421 | + | 2.12342i | ||||
\(183\) | −12.3163 | − | 16.9519i | −0.910445 | − | 1.25312i | ||||
\(184\) | −9.54776 | + | 10.6039i | −0.703870 | + | 0.781727i | ||||
\(185\) | −16.3041 | − | 7.70817i | −1.19870 | − | 0.566716i | ||||
\(186\) | −30.4760 | − | 33.8470i | −2.23461 | − | 2.48178i | ||||
\(187\) | −0.622967 | − | 0.560922i | −0.0455558 | − | 0.0410186i | ||||
\(188\) | −6.57704 | + | 2.13701i | −0.479680 | + | 0.155857i | ||||
\(189\) | 0.832757 | + | 0.732297i | 0.0605741 | + | 0.0532668i | ||||
\(190\) | 1.68208 | + | 20.4753i | 0.122031 | + | 1.48544i | ||||
\(191\) | −9.90143 | + | 10.9967i | −0.716443 | + | 0.795690i | −0.985902 | − | 0.167322i | \(-0.946488\pi\) |
0.269460 | + | 0.963012i | \(0.413155\pi\) | |||||||
\(192\) | 55.6993 | − | 5.85423i | 4.01975 | − | 0.422493i | ||||
\(193\) | 8.45777 | + | 4.88309i | 0.608803 | + | 0.351493i | 0.772497 | − | 0.635018i | \(-0.219008\pi\) |
−0.163694 | + | 0.986511i | \(0.552341\pi\) | |||||||
\(194\) | 11.0378 | + | 4.91434i | 0.792467 | + | 0.352829i | ||||
\(195\) | −18.6106 | − | 11.3171i | −1.33274 | − | 0.810431i | ||||
\(196\) | −34.2180 | − | 14.2818i | −2.44414 | − | 1.02013i | ||||
\(197\) | −13.8505 | + | 19.0636i | −0.986806 | + | 1.35822i | −0.0537249 | + | 0.998556i | \(0.517109\pi\) |
−0.933081 | + | 0.359666i | \(0.882891\pi\) | |||||||
\(198\) | −1.25548 | − | 5.90657i | −0.0892231 | − | 0.419762i | ||||
\(199\) | −4.73457 | + | 8.20051i | −0.335625 | + | 0.581319i | −0.983605 | − | 0.180338i | \(-0.942281\pi\) |
0.647980 | + | 0.761657i | \(0.275614\pi\) | |||||||
\(200\) | 41.6812 | + | 15.6729i | 2.94731 | + | 1.10824i | ||||
\(201\) | −12.5545 | − | 21.7450i | −0.885525 | − | 1.53377i | ||||
\(202\) | 27.9767 | + | 9.09019i | 1.96844 | + | 0.639584i | ||||
\(203\) | 4.23659 | + | 7.14296i | 0.297350 | + | 0.501338i | ||||
\(204\) | 10.9633 | + | 7.96533i | 0.767587 | + | 0.557685i | ||||
\(205\) | 3.64406 | + | 5.26340i | 0.254512 | + | 0.367612i | ||||
\(206\) | 0.749412 | + | 7.13018i | 0.0522140 | + | 0.496783i | ||||
\(207\) | −3.92158 | − | 2.26412i | −0.272569 | − | 0.157367i | ||||
\(208\) | 22.0999 | − | 49.6373i | 1.53236 | − | 3.44173i | ||||
\(209\) | 0.831285 | + | 2.55843i | 0.0575012 | + | 0.176970i | ||||
\(210\) | 33.6171 | − | 18.9184i | 2.31980 | − | 1.30550i | ||||
\(211\) | −1.47906 | + | 4.55207i | −0.101823 | + | 0.313378i | −0.988972 | − | 0.148106i | \(-0.952682\pi\) |
0.887149 | + | 0.461483i | \(0.152682\pi\) | |||||||
\(212\) | 39.1382 | + | 35.2402i | 2.68802 | + | 2.42031i | ||||
\(213\) | 2.33773 | − | 10.9982i | 0.160179 | − | 0.753581i | ||||
\(214\) | 2.94925 | + | 3.27547i | 0.201606 | + | 0.223907i | ||||
\(215\) | −3.84570 | − | 12.8213i | −0.262274 | − | 0.874406i | ||||
\(216\) | −1.15353 | − | 3.55019i | −0.0784876 | − | 0.241560i | ||||
\(217\) | 5.50418 | − | 17.6423i | 0.373648 | − | 1.19764i | ||||
\(218\) | 1.09398i | 0.0740935i | ||||||||
\(219\) | −16.7822 | − | 7.47193i | −1.13404 | − | 0.504906i | ||||
\(220\) | 9.29197 | + | 1.19092i | 0.626464 | + | 0.0802920i | ||||
\(221\) | 3.90744 | − | 1.73970i | 0.262843 | − | 0.117025i | ||||
\(222\) | 52.2999 | + | 5.49695i | 3.51014 | + | 0.368931i | ||||
\(223\) | −7.16870 | − | 2.32925i | −0.480052 | − | 0.155978i | 0.0589879 | − | 0.998259i | \(-0.481213\pi\) |
−0.539040 | + | 0.842280i | \(0.681213\pi\) | |||||||
\(224\) | 29.3246 | + | 39.3811i | 1.95933 | + | 2.63126i | ||||
\(225\) | −2.11496 | + | 13.9726i | −0.140997 | + | 0.931508i | ||||
\(226\) | 24.0891 | + | 41.7236i | 1.60238 | + | 2.77541i | ||||
\(227\) | 6.93520 | − | 6.24448i | 0.460305 | − | 0.414461i | −0.406080 | − | 0.913838i | \(-0.633104\pi\) |
0.866385 | + | 0.499377i | \(0.166438\pi\) | |||||||
\(228\) | −17.6878 | − | 39.7275i | −1.17141 | − | 2.63102i | ||||
\(229\) | −2.15825 | + | 20.5344i | −0.142621 | + | 1.35695i | 0.655838 | + | 0.754901i | \(0.272315\pi\) |
−0.798460 | + | 0.602048i | \(0.794351\pi\) | |||||||
\(230\) | 7.33719 | − | 6.31017i | 0.483800 | − | 0.416080i | ||||
\(231\) | 3.71371 | − | 3.42364i | 0.244344 | − | 0.225259i | ||||
\(232\) | − | 27.9557i | − | 1.83538i | ||||||
\(233\) | −2.96239 | + | 6.65363i | −0.194073 | + | 0.435894i | −0.984203 | − | 0.177045i | \(-0.943346\pi\) |
0.790130 | + | 0.612939i | \(0.210013\pi\) | |||||||
\(234\) | 30.1374 | + | 6.40591i | 1.97015 | + | 0.418767i | ||||
\(235\) | 2.86859 | − | 0.541839i | 0.187126 | − | 0.0353457i | ||||
\(236\) | −39.9882 | + | 8.49976i | −2.60301 | + | 0.553287i | ||||
\(237\) | −26.1507 | + | 8.49687i | −1.69867 | + | 0.551931i | ||||
\(238\) | −0.703289 | + | 7.54222i | −0.0455874 | + | 0.488889i | ||||
\(239\) | 4.14506 | − | 12.7572i | 0.268122 | − | 0.825195i | −0.722836 | − | 0.691020i | \(-0.757162\pi\) |
0.990958 | − | 0.134175i | \(-0.0428383\pi\) | |||||||
\(240\) | −72.6516 | − | 1.65327i | −4.68964 | − | 0.106718i | ||||
\(241\) | −20.8285 | − | 4.42724i | −1.34168 | − | 0.285184i | −0.519532 | − | 0.854451i | \(-0.673894\pi\) |
−0.822152 | + | 0.569267i | \(0.807227\pi\) | |||||||
\(242\) | −27.8709 | + | 2.92935i | −1.79161 | + | 0.188306i | ||||
\(243\) | 18.7506 | − | 10.8256i | 1.20285 | − | 0.694465i | ||||
\(244\) | −37.2004 | + | 27.0277i | −2.38151 | + | 1.73027i | ||||
\(245\) | 13.5612 | + | 7.81633i | 0.866391 | + | 0.499367i | ||||
\(246\) | −15.1023 | − | 10.9724i | −0.962886 | − | 0.699577i | ||||
\(247\) | −13.6506 | − | 1.43474i | −0.868569 | − | 0.0912903i | ||||
\(248\) | −46.2315 | + | 41.6270i | −2.93570 | + | 2.64332i | ||||
\(249\) | 1.52995 | − | 2.64996i | 0.0969569 | − | 0.167934i | ||||
\(250\) | −26.6883 | − | 14.1372i | −1.68791 | − | 0.894112i | ||||
\(251\) | 17.8368 | 1.12585 | 0.562926 | − | 0.826507i | \(-0.309676\pi\) | ||||
0.562926 | + | 0.826507i | \(0.309676\pi\) | |||||||
\(252\) | −26.1568 | + | 29.7451i | −1.64772 | + | 1.87376i | ||||
\(253\) | 0.744826 | − | 1.02516i | 0.0468268 | − | 0.0644516i | ||||
\(254\) | 5.33762 | − | 50.7841i | 0.334912 | − | 3.18648i | ||||
\(255\) | −4.16305 | − | 3.92356i | −0.260701 | − | 0.245703i | ||||
\(256\) | −2.36678 | − | 22.5184i | −0.147924 | − | 1.40740i | ||||
\(257\) | 9.45437 | − | 5.45848i | 0.589747 | − | 0.340491i | −0.175250 | − | 0.984524i | \(-0.556073\pi\) |
0.764998 | + | 0.644033i | \(0.222740\pi\) | |||||||
\(258\) | 22.9426 | + | 31.5778i | 1.42834 | + | 1.96595i | ||||
\(259\) | 8.90748 | + | 19.3905i | 0.553484 | + | 1.20487i | ||||
\(260\) | −24.8349 | + | 40.8405i | −1.54020 | + | 2.53282i | ||||
\(261\) | 8.67789 | − | 1.84454i | 0.537148 | − | 0.114174i | ||||
\(262\) | 5.82092 | − | 27.3853i | 0.359618 | − | 1.69187i | ||||
\(263\) | −2.24962 | + | 10.5836i | −0.138717 | + | 0.652614i | 0.852756 | + | 0.522309i | \(0.174929\pi\) |
−0.991474 | + | 0.130305i | \(0.958404\pi\) | |||||||
\(264\) | −16.6312 | + | 3.53507i | −1.02358 | + | 0.217568i | ||||
\(265\) | −14.4966 | − | 16.8560i | −0.890519 | − | 1.03546i | ||||
\(266\) | 14.0562 | − | 19.8323i | 0.861841 | − | 1.21599i | ||||
\(267\) | −7.25438 | − | 9.98480i | −0.443961 | − | 0.611060i | ||||
\(268\) | −47.7187 | + | 27.5504i | −2.91488 | + | 1.68291i | ||||
\(269\) | 2.36430 | + | 22.4948i | 0.144154 | + | 1.37153i | 0.792354 | + | 0.610061i | \(0.208855\pi\) |
−0.648200 | + | 0.761470i | \(0.724478\pi\) | |||||||
\(270\) | 0.469898 | + | 2.48772i | 0.0285971 | + | 0.151398i | ||||
\(271\) | −0.715128 | + | 6.80399i | −0.0434409 | + | 0.413313i | 0.951093 | + | 0.308903i | \(0.0999619\pi\) |
−0.994534 | + | 0.104410i | \(0.966705\pi\) | |||||||
\(272\) | 8.38787 | − | 11.5449i | 0.508589 | − | 0.700013i | ||||
\(273\) | 8.25128 | + | 24.4156i | 0.499390 | + | 1.47770i | ||||
\(274\) | 35.3431 | 2.13515 | ||||||||
\(275\) | −3.82678 | − | 0.997316i | −0.230763 | − | 0.0601404i | ||||
\(276\) | −10.2424 | + | 17.7403i | −0.616517 | + | 1.06784i | ||||
\(277\) | −4.47196 | + | 4.02657i | −0.268694 | + | 0.241933i | −0.792453 | − | 0.609933i | \(-0.791196\pi\) |
0.523758 | + | 0.851867i | \(0.324529\pi\) | |||||||
\(278\) | −7.06461 | − | 0.742521i | −0.423707 | − | 0.0445334i | ||||
\(279\) | −15.9721 | − | 11.6044i | −0.956223 | − | 0.694737i | ||||
\(280\) | −25.8406 | − | 45.9175i | −1.54427 | − | 2.74409i | ||||
\(281\) | 20.6123 | − | 14.9757i | 1.22963 | − | 0.893376i | 0.232764 | − | 0.972533i | \(-0.425223\pi\) |
0.996862 | + | 0.0791574i | \(0.0252230\pi\) | |||||||
\(282\) | −7.37219 | + | 4.25634i | −0.439008 | + | 0.253461i | ||||
\(283\) | 3.27024 | − | 0.343716i | 0.194396 | − | 0.0204318i | −0.00683028 | − | 0.999977i | \(-0.502174\pi\) |
0.201226 | + | 0.979545i | \(0.435507\pi\) | |||||||
\(284\) | −24.1351 | − | 5.13008i | −1.43216 | − | 0.304414i | ||||
\(285\) | 5.27417 | + | 17.5838i | 0.312415 | + | 1.04157i | ||||
\(286\) | −2.66434 | + | 8.20000i | −0.157546 | + | 0.484876i | ||||
\(287\) | 0.703264 | − | 7.54195i | 0.0415123 | − | 0.445187i | ||||
\(288\) | 49.8844 | − | 16.2084i | 2.93947 | − | 0.955091i | ||||
\(289\) | −15.5297 | + | 3.30094i | −0.913512 | + | 0.194173i | ||||
\(290\) | −2.41034 | + | 18.8062i | −0.141540 | + | 1.10434i | ||||
\(291\) | 10.5605 | + | 2.24470i | 0.619066 | + | 0.131587i | ||||
\(292\) | −16.3969 | + | 36.8281i | −0.959557 | + | 2.15520i | ||||
\(293\) | 0.636811i | 0.0372029i | 0.999827 | + | 0.0186014i | \(0.00592136\pi\) | ||||
−0.999827 | + | 0.0186014i | \(0.994079\pi\) | |||||||
\(294\) | −44.8555 | − | 8.43864i | −2.61602 | − | 0.492152i | ||||
\(295\) | 17.1998 | − | 1.41299i | 1.00141 | − | 0.0822676i | ||||
\(296\) | 7.50825 | − | 71.4362i | 0.436408 | − | 4.15215i | ||||
\(297\) | 0.134835 | + | 0.302845i | 0.00782395 | + | 0.0175729i | ||||
\(298\) | 0.278515 | − | 0.250776i | 0.0161340 | − | 0.0145271i | ||||
\(299\) | 3.23278 | + | 5.59935i | 0.186957 | + | 0.323819i | ||||
\(300\) | 63.2088 | + | 9.56758i | 3.64936 | + | 0.552384i | ||||
\(301\) | −6.27161 | + | 14.5435i | −0.361489 | + | 0.838271i | ||||
\(302\) | −33.0680 | − | 10.7444i | −1.90285 | − | 0.618273i | ||||
\(303\) | 26.1416 | + | 2.74759i | 1.50180 | + | 0.157845i | ||||
\(304\) | −41.8350 | + | 18.6261i | −2.39940 | + | 1.06828i | ||||
\(305\) | 17.0268 | − | 9.32053i | 0.974954 | − | 0.533692i | ||||
\(306\) | 7.39243 | + | 3.29132i | 0.422597 | + | 0.188152i | ||||
\(307\) | − | 30.9126i | − | 1.76428i | −0.470990 | − | 0.882139i | \(-0.656103\pi\) | ||
0.470990 | − | 0.882139i | \(-0.343897\pi\) | |||||||
\(308\) | −7.51308 | − | 8.14962i | −0.428097 | − | 0.464368i | ||||
\(309\) | 1.97968 | + | 6.09283i | 0.112620 | + | 0.346609i | ||||
\(310\) | 34.6897 | − | 24.0170i | 1.97024 | − | 1.36408i | ||||
\(311\) | 11.5166 | + | 12.7905i | 0.653049 | + | 0.725284i | 0.975181 | − | 0.221411i | \(-0.0710662\pi\) |
−0.322132 | + | 0.946695i | \(0.604399\pi\) | |||||||
\(312\) | 18.0372 | − | 84.8582i | 1.02115 | − | 4.80415i | ||||
\(313\) | −7.16818 | − | 6.45426i | −0.405170 | − | 0.364816i | 0.441203 | − | 0.897407i | \(-0.354552\pi\) |
−0.846373 | + | 0.532591i | \(0.821218\pi\) | |||||||
\(314\) | −7.37506 | + | 22.6981i | −0.416199 | + | 1.28093i | ||||
\(315\) | 12.5485 | − | 11.0510i | 0.707029 | − | 0.622654i | ||||
\(316\) | 18.6461 | + | 57.3869i | 1.04893 | + | 3.22826i | ||||
\(317\) | −2.67283 | + | 6.00328i | −0.150121 | + | 0.337178i | −0.972915 | − | 0.231162i | \(-0.925747\pi\) |
0.822794 | + | 0.568340i | \(0.192414\pi\) | |||||||
\(318\) | 56.1436 | + | 32.4145i | 3.14838 | + | 1.81772i | ||||
\(319\) | 0.259508 | + | 2.46905i | 0.0145296 | + | 0.138240i | ||||
\(320\) | −1.18034 | + | 51.8692i | −0.0659833 | + | 2.89958i | ||||
\(321\) | 3.18629 | + | 2.31497i | 0.177841 | + | 0.129209i | ||||
\(322\) | −11.4497 | + | 0.134445i | −0.638067 | + | 0.00749232i | ||||
\(323\) | −3.42847 | − | 1.11398i | −0.190765 | − | 0.0619833i | ||||
\(324\) | −25.1362 | − | 43.5372i | −1.39646 | − | 2.41873i | ||||
\(325\) | 12.5905 | − | 15.7678i | 0.698395 | − | 0.874638i | ||||
\(326\) | 3.07844 | − | 5.33202i | 0.170499 | − | 0.295313i | ||||
\(327\) | 0.203242 | + | 0.956181i | 0.0112393 | + | 0.0528769i | ||||
\(328\) | −14.9872 | + | 20.6281i | −0.827530 | + | 1.13900i | ||||
\(329\) | −3.01148 | − | 1.69185i | −0.166028 | − | 0.0932746i | ||||
\(330\) | 11.4928 | − | 0.944154i | 0.632660 | − | 0.0519740i | ||||
\(331\) | −24.3737 | − | 10.8519i | −1.33970 | − | 0.596472i | −0.393281 | − | 0.919418i | \(-0.628660\pi\) |
−0.946417 | + | 0.322946i | \(0.895327\pi\) | |||||||
\(332\) | −5.81525 | − | 3.35744i | −0.319153 | − | 0.184263i | ||||
\(333\) | 22.6703 | − | 2.38275i | 1.24233 | − | 0.130574i | ||||
\(334\) | 11.4602 | − | 12.7278i | 0.627073 | − | 0.696435i | ||||
\(335\) | 21.4591 | − | 8.97494i | 1.17243 | − | 0.490353i | ||||
\(336\) | 64.5703 | + | 56.7809i | 3.52260 | + | 3.09765i | ||||
\(337\) | −2.67992 | + | 0.870759i | −0.145985 | + | 0.0474333i | −0.381098 | − | 0.924535i | \(-0.624454\pi\) |
0.235113 | + | 0.971968i | \(0.424454\pi\) | |||||||
\(338\) | −6.59592 | − | 5.93899i | −0.358771 | − | 0.323039i | ||||
\(339\) | 28.8064 | + | 31.9927i | 1.56455 | + | 1.73761i | ||||
\(340\) | −8.61013 | + | 9.13569i | −0.466950 | + | 0.495453i | ||||
\(341\) | 3.69675 | − | 4.10566i | 0.200190 | − | 0.222334i | ||||
\(342\) | −15.2634 | − | 21.0083i | −0.825351 | − | 1.13600i | ||||
\(343\) | −6.33984 | − | 17.4013i | −0.342319 | − | 0.939584i | ||||
\(344\) | 43.1319 | − | 31.3372i | 2.32552 | − | 1.68959i | ||||
\(345\) | 5.24067 | − | 6.87847i | 0.282148 | − | 0.370324i | ||||
\(346\) | 55.0117 | − | 24.4928i | 2.95745 | − | 1.31674i | ||||
\(347\) | −11.0834 | − | 24.8938i | −0.594989 | − | 1.33637i | −0.920468 | − | 0.390818i | \(-0.872192\pi\) |
0.325479 | − | 0.945549i | \(-0.394475\pi\) | |||||||
\(348\) | −8.34427 | − | 39.2567i | −0.447300 | − | 2.10438i | ||||
\(349\) | 15.9902 | 0.855935 | 0.427967 | − | 0.903794i | \(-0.359230\pi\) | ||||
0.427967 | + | 0.903794i | \(0.359230\pi\) | |||||||
\(350\) | 13.4244 | + | 33.1173i | 0.717562 | + | 1.77020i | ||||
\(351\) | −1.69146 | −0.0902834 | ||||||||
\(352\) | 3.05171 | + | 14.3572i | 0.162657 | + | 0.765240i | ||||
\(353\) | −4.14806 | − | 9.31670i | −0.220779 | − | 0.495878i | 0.768867 | − | 0.639409i | \(-0.220821\pi\) |
−0.989646 | + | 0.143531i | \(0.954154\pi\) | |||||||
\(354\) | −45.9727 | + | 20.4684i | −2.44342 | + | 1.08788i | ||||
\(355\) | 9.83044 | + | 3.44327i | 0.521746 | + | 0.182750i | ||||
\(356\) | −21.9113 | + | 15.9195i | −1.16130 | + | 0.843733i | ||||
\(357\) | 0.786513 | + | 6.72286i | 0.0416267 | + | 0.355812i | ||||
\(358\) | −26.0888 | − | 35.9082i | −1.37884 | − | 1.89781i | ||||
\(359\) | −9.11004 | + | 10.1177i | −0.480809 | + | 0.533993i | −0.933930 | − | 0.357456i | \(-0.883644\pi\) |
0.453120 | + | 0.891449i | \(0.350311\pi\) | |||||||
\(360\) | −55.3079 | + | 10.4469i | −2.91498 | + | 0.550601i | ||||
\(361\) | −4.97277 | − | 5.52282i | −0.261725 | − | 0.290675i | ||||
\(362\) | −28.6428 | − | 25.7901i | −1.50543 | − | 1.35550i | ||||
\(363\) | −23.8160 | + | 7.73830i | −1.25002 | + | 0.406156i | ||||
\(364\) | 53.5793 | − | 18.1072i | 2.80832 | − | 0.949074i | ||||
\(365\) | 8.84204 | − | 14.5405i | 0.462814 | − | 0.761087i | ||||
\(366\) | −37.8742 | + | 42.0635i | −1.97971 | + | 2.19870i | ||||
\(367\) | 12.3063 | − | 1.29344i | 0.642381 | − | 0.0675170i | 0.222263 | − | 0.974987i | \(-0.428655\pi\) |
0.420118 | + | 0.907470i | \(0.361989\pi\) | |||||||
\(368\) | 18.6814 | + | 10.7857i | 0.973833 | + | 0.562243i | ||||
\(369\) | −7.39216 | − | 3.29120i | −0.384821 | − | 0.171333i | ||||
\(370\) | −11.2101 | + | 47.4089i | −0.582787 | + | 2.46467i | ||||
\(371\) | 0.308865 | + | 26.3038i | 0.0160355 | + | 1.36563i | ||||
\(372\) | −52.4955 | + | 72.2539i | −2.72177 | + | 3.74619i | ||||
\(373\) | 4.59052 | + | 21.5967i | 0.237688 | + | 1.11823i | 0.921440 | + | 0.388520i | \(0.127013\pi\) |
−0.683752 | + | 0.729714i | \(0.739653\pi\) | |||||||
\(374\) | −1.13222 | + | 1.96107i | −0.0585460 | + | 0.101405i | ||||
\(375\) | −25.9531 | − | 7.39822i | −1.34021 | − | 0.382043i | ||||
\(376\) | 5.81371 | + | 10.0696i | 0.299819 | + | 0.519302i | ||||
\(377\) | −12.0474 | − | 3.91443i | −0.620472 | − | 0.201604i | ||||
\(378\) | 1.46722 | − | 2.61164i | 0.0754656 | − | 0.134328i | ||||
\(379\) | 5.10183 | + | 3.70670i | 0.262063 | + | 0.190400i | 0.711056 | − | 0.703135i | \(-0.248217\pi\) |
−0.448993 | + | 0.893535i | \(0.648217\pi\) | |||||||
\(380\) | 38.5870 | − | 11.5740i | 1.97947 | − | 0.593734i | ||||
\(381\) | −4.76952 | − | 45.3790i | −0.244350 | − | 2.32484i | ||||
\(382\) | 34.6170 | + | 19.9861i | 1.77116 | + | 1.02258i | ||||
\(383\) | 0.201145 | − | 0.451780i | 0.0102780 | − | 0.0230849i | −0.908334 | − | 0.418247i | \(-0.862645\pi\) |
0.918612 | + | 0.395162i | \(0.129311\pi\) | |||||||
\(384\) | −19.0659 | − | 58.6790i | −0.972955 | − | 2.99445i | ||||
\(385\) | 2.70849 | + | 3.81556i | 0.138037 | + | 0.194459i | ||||
\(386\) | 8.15228 | − | 25.0901i | 0.414940 | − | 1.27705i | ||||
\(387\) | 12.5734 | + | 11.3212i | 0.639144 | + | 0.575488i | ||||
\(388\) | 4.92592 | − | 23.1746i | 0.250076 | − | 1.17651i | ||||
\(389\) | 0.692893 | + | 0.769535i | 0.0351311 | + | 0.0390170i | 0.760454 | − | 0.649392i | \(-0.224976\pi\) |
−0.725323 | + | 0.688409i | \(0.758310\pi\) | |||||||
\(390\) | −19.4503 | + | 55.5302i | −0.984906 | + | 2.81188i | ||||
\(391\) | 0.524740 | + | 1.61498i | 0.0265372 | + | 0.0816732i | ||||
\(392\) | −11.5263 | + | 61.2679i | −0.582166 | + | 3.09450i | ||||
\(393\) | − | 25.0173i | − | 1.26195i | ||||||
\(394\) | 58.1497 | + | 25.8899i | 2.92954 | + | 1.30432i | ||||
\(395\) | −4.72773 | − | 25.0294i | −0.237878 | − | 1.25937i | ||||
\(396\) | −10.8173 | + | 4.81616i | −0.543588 | + | 0.242021i | ||||
\(397\) | 29.8541 | + | 3.13780i | 1.49834 | + | 0.157482i | 0.817915 | − | 0.575339i | \(-0.195130\pi\) |
0.680422 | + | 0.732821i | \(0.261797\pi\) | |||||||
\(398\) | 24.3270 | + | 7.90432i | 1.21940 | + | 0.396208i | ||||
\(399\) | 8.60118 | − | 19.9456i | 0.430598 | − | 0.998529i | ||||
\(400\) | 10.0751 | − | 66.5619i | 0.503755 | − | 3.32809i | ||||
\(401\) | 2.85182 | + | 4.93949i | 0.142413 | + | 0.246667i | 0.928405 | − | 0.371570i | \(-0.121181\pi\) |
−0.785992 | + | 0.618237i | \(0.787847\pi\) | |||||||
\(402\) | −50.4050 | + | 45.3849i | −2.51397 | + | 2.26359i | ||||
\(403\) | 11.4655 | + | 25.7520i | 0.571138 | + | 1.28280i | ||||
\(404\) | 6.02951 | − | 57.3669i | 0.299979 | − | 2.85411i | ||||
\(405\) | 8.18848 | + | 19.5786i | 0.406889 | + | 0.972871i | ||||
\(406\) | 16.4942 | − | 15.2059i | 0.818593 | − | 0.754655i | ||||
\(407\) | 6.37896i | 0.316193i | ||||||||
\(408\) | 9.26739 | − | 20.8149i | 0.458804 | − | 1.03049i | ||||
\(409\) | −4.18561 | − | 0.889679i | −0.206965 | − | 0.0439918i | 0.103262 | − | 0.994654i | \(-0.467072\pi\) |
−0.310227 | + | 0.950662i | \(0.600405\pi\) | |||||||
\(410\) | 11.8607 | − | 12.5846i | 0.585757 | − | 0.621512i | ||||
\(411\) | 30.8913 | − | 6.56615i | 1.52375 | − | 0.323884i | ||||
\(412\) | 13.3705 | − | 4.34435i | 0.658719 | − | 0.214031i | ||||
\(413\) | −16.6596 | − | 11.8076i | −0.819768 | − | 0.581013i | ||||
\(414\) | −3.77993 | + | 11.6334i | −0.185774 | + | 0.571752i | ||||
\(415\) | 2.25476 | + | 1.71789i | 0.110682 | + | 0.0843278i | ||||
\(416\) | −73.2554 | − | 15.5709i | −3.59164 | − | 0.763427i | ||||
\(417\) | −6.31270 | + | 0.663492i | −0.309134 | + | 0.0324913i | ||||
\(418\) | 6.29317 | − | 3.63337i | 0.307809 | − | 0.177714i | ||||
\(419\) | −19.7018 | + | 14.3142i | −0.962496 | + | 0.699294i | −0.953729 | − | 0.300667i | \(-0.902791\pi\) |
−0.00876684 | + | 0.999962i | \(0.502791\pi\) | |||||||
\(420\) | −49.9921 | − | 56.7665i | −2.43937 | − | 2.76992i | ||||
\(421\) | −12.1767 | − | 8.84692i | −0.593458 | − | 0.431172i | 0.250093 | − | 0.968222i | \(-0.419539\pi\) |
−0.843551 | + | 0.537050i | \(0.819539\pi\) | |||||||
\(422\) | 12.8584 | + | 1.35148i | 0.625939 | + | 0.0657889i | ||||
\(423\) | −2.74218 | + | 2.46907i | −0.133329 | + | 0.120050i | ||||
\(424\) | 44.2748 | − | 76.6863i | 2.15018 | − | 3.72421i | ||||
\(425\) | 4.09546 | − | 3.36319i | 0.198659 | − | 0.163139i | ||||
\(426\) | −30.3730 | −1.47157 | ||||||||
\(427\) | −22.5200 | − | 4.51108i | −1.08982 | − | 0.218306i | ||||
\(428\) | 5.08014 | − | 6.99221i | 0.245558 | − | 0.337981i | ||||
\(429\) | −0.805322 | + | 7.66212i | −0.0388813 | + | 0.369931i | ||||
\(430\) | −31.7174 | + | 17.3622i | −1.52955 | + | 0.837278i | ||||
\(431\) | 1.24486 | + | 11.8440i | 0.0599627 | + | 0.570507i | 0.982717 | + | 0.185117i | \(0.0592664\pi\) |
−0.922754 | + | 0.385390i | \(0.874067\pi\) | |||||||
\(432\) | −4.88723 | + | 2.82165i | −0.235137 | + | 0.135756i | ||||
\(433\) | −6.09477 | − | 8.38874i | −0.292896 | − | 0.403137i | 0.637056 | − | 0.770818i | \(-0.280152\pi\) |
−0.929952 | + | 0.367681i | \(0.880152\pi\) | |||||||
\(434\) | −49.7070 | − | 4.63502i | −2.38601 | − | 0.222488i | ||||
\(435\) | 1.38714 | + | 16.8852i | 0.0665085 | + | 0.809583i | ||||
\(436\) | 2.09831 | − | 0.446009i | 0.100491 | − | 0.0213600i | ||||
\(437\) | 1.13297 | − | 5.33019i | 0.0541971 | − | 0.254978i | ||||
\(438\) | −10.3174 | + | 48.5395i | −0.492984 | + | 2.31931i | ||||
\(439\) | 23.8096 | − | 5.06089i | 1.13637 | − | 0.241543i | 0.398947 | − | 0.916974i | \(-0.369376\pi\) |
0.737423 | + | 0.675431i | \(0.236042\pi\) | |||||||
\(440\) | −1.28962 | − | 15.6980i | −0.0614800 | − | 0.748373i | ||||
\(441\) | −19.7790 | + | 0.464564i | −0.941859 | + | 0.0221221i | ||||
\(442\) | −6.79129 | − | 9.34741i | −0.323029 | − | 0.444611i | ||||
\(443\) | −12.7070 | + | 7.33639i | −0.603728 | + | 0.348562i | −0.770507 | − | 0.637432i | \(-0.779997\pi\) |
0.166779 | + | 0.985994i | \(0.446663\pi\) | |||||||
\(444\) | −10.7790 | − | 102.555i | −0.511548 | − | 4.86706i | ||||
\(445\) | 10.0289 | − | 5.48986i | 0.475417 | − | 0.260245i | ||||
\(446\) | −2.12834 | + | 20.2498i | −0.100780 | + | 0.958854i | ||||
\(447\) | 0.196844 | − | 0.270932i | 0.00931039 | − | 0.0128147i | ||||
\(448\) | 40.5383 | − | 46.0996i | 1.91526 | − | 2.17800i | ||||
\(449\) | −15.1223 | −0.713665 | −0.356833 | − | 0.934168i | \(-0.616143\pi\) | ||||
−0.356833 | + | 0.934168i | \(0.616143\pi\) | |||||||
\(450\) | 38.1072 | − | 2.25917i | 1.79639 | − | 0.106498i | ||||
\(451\) | 1.13218 | − | 1.96100i | 0.0533125 | − | 0.0923400i | ||||
\(452\) | 70.2071 | − | 63.2147i | 3.30226 | − | 2.97337i | ||||
\(453\) | −30.8989 | − | 3.24760i | −1.45176 | − | 0.152586i | ||||
\(454\) | −20.3946 | − | 14.8175i | −0.957164 | − | 0.695421i | ||||
\(455\) | −23.4062 | + | 4.70640i | −1.09730 | + | 0.220639i | ||||
\(456\) | −59.1532 | + | 42.9773i | −2.77010 | + | 2.01260i | ||||
\(457\) | 19.5255 | − | 11.2730i | 0.913363 | − | 0.527330i | 0.0318513 | − | 0.999493i | \(-0.489860\pi\) |
0.881512 | + | 0.472162i | \(0.156526\pi\) | |||||||
\(458\) | 55.4693 | − | 5.83006i | 2.59191 | − | 0.272421i | ||||
\(459\) | −0.434531 | − | 0.0923625i | −0.0202822 | − | 0.00431111i | ||||
\(460\) | −15.0946 | − | 11.5005i | −0.703789 | − | 0.536213i | ||||
\(461\) | 6.17680 | − | 19.0102i | 0.287682 | − | 0.885395i | −0.697899 | − | 0.716196i | \(-0.745882\pi\) |
0.985582 | − | 0.169200i | \(-0.0541183\pi\) | |||||||
\(462\) | −11.1319 | − | 7.88977i | −0.517902 | − | 0.367065i | ||||
\(463\) | −30.6784 | + | 9.96803i | −1.42575 | + | 0.463253i | −0.917423 | − | 0.397912i | \(-0.869735\pi\) |
−0.508324 | + | 0.861166i | \(0.669735\pi\) | |||||||
\(464\) | −41.3392 | + | 8.78691i | −1.91912 | + | 0.407922i | ||||
\(465\) | 25.8582 | − | 27.4366i | 1.19915 | − | 1.27234i | ||||
\(466\) | 19.2444 | + | 4.09053i | 0.891480 | + | 0.189490i | ||||
\(467\) | −17.4108 | + | 39.1052i | −0.805674 | + | 1.80957i | −0.276638 | + | 0.960974i | \(0.589220\pi\) |
−0.529036 | + | 0.848599i | \(0.677446\pi\) | |||||||
\(468\) | − | 60.4169i | − | 2.79277i | ||||||
\(469\) | −26.2730 | − | 8.19683i | −1.21317 | − | 0.378495i | ||||
\(470\) | −3.04277 | − | 7.27526i | −0.140352 | − | 0.335583i | ||||
\(471\) | −2.22918 | + | 21.2092i | −0.102715 | + | 0.977269i | ||||
\(472\) | 27.9576 | + | 62.7939i | 1.28685 | + | 2.89032i | ||||
\(473\) | −3.51852 | + | 3.16809i | −0.161782 | + | 0.145669i | ||||
\(474\) | 37.1380 | + | 64.3249i | 1.70580 | + | 2.95454i | ||||
\(475\) | −16.7781 | + | 2.77543i | −0.769832 | + | 0.127345i | ||||
\(476\) | 14.7531 | − | 1.72598i | 0.676208 | − | 0.0791101i | ||||
\(477\) | 26.7259 | + | 8.68378i | 1.22370 | + | 0.397603i | ||||
\(478\) | −36.0359 | − | 3.78752i | −1.64824 | − | 0.173237i | ||||
\(479\) | 18.9127 | − | 8.42048i | 0.864144 | − | 0.384742i | 0.0737033 | − | 0.997280i | \(-0.476518\pi\) |
0.790441 | + | 0.612538i | \(0.209852\pi\) | |||||||
\(480\) | 18.5911 | + | 98.4244i | 0.848562 | + | 4.49244i | ||||
\(481\) | −29.7338 | − | 13.2383i | −1.35574 | − | 0.603616i | ||||
\(482\) | 57.5209i | 2.62001i | ||||||||
\(483\) | −9.98252 | + | 2.24467i | −0.454220 | + | 0.102136i | ||||
\(484\) | 16.9815 | + | 52.2636i | 0.771885 | + | 2.37562i | ||||
\(485\) | −3.30624 | + | 9.43922i | −0.150128 | + | 0.428613i | ||||
\(486\) | −39.1351 | − | 43.4639i | −1.77520 | − | 1.97156i | ||||
\(487\) | −6.46749 | + | 30.4271i | −0.293070 | + | 1.37879i | 0.547374 | + | 0.836888i | \(0.315627\pi\) |
−0.840444 | + | 0.541898i | \(0.817706\pi\) | |||||||
\(488\) | 57.4543 | + | 51.7321i | 2.60084 | + | 2.34180i | ||||
\(489\) | 1.70009 | − | 5.23232i | 0.0768805 | − | 0.236614i | ||||
\(490\) | 13.0364 | − | 40.2220i | 0.588926 | − | 1.81705i | ||||
\(491\) | −12.3059 | − | 37.8737i | −0.555357 | − | 1.70921i | −0.694998 | − | 0.719012i | \(-0.744595\pi\) |
0.139641 | − | 0.990202i | \(-0.455405\pi\) | |||||||
\(492\) | −14.8886 | + | 33.4404i | −0.671231 | + | 1.50761i | ||||
\(493\) | −2.88119 | − | 1.66346i | −0.129762 | − | 0.0749183i | ||||
\(494\) | 3.87565 | + | 36.8743i | 0.174374 | + | 1.65905i | ||||
\(495\) | 4.78782 | − | 1.43609i | 0.215197 | − | 0.0645473i | ||||
\(496\) | 76.0867 | + | 55.2802i | 3.41640 | + | 2.48216i | ||||
\(497\) | −6.28710 | − | 10.6002i | −0.282015 | − | 0.475482i | ||||
\(498\) | −7.86115 | − | 2.55424i | −0.352266 | − | 0.114458i | ||||
\(499\) | 10.5057 | + | 18.1964i | 0.470301 | + | 0.814585i | 0.999423 | − | 0.0339609i | \(-0.0108122\pi\) |
−0.529123 | + | 0.848545i | \(0.677479\pi\) | |||||||
\(500\) | −16.2352 | + | 56.9532i | −0.726059 | + | 2.54702i | ||||
\(501\) | 7.65204 | − | 13.2537i | 0.341868 | − | 0.592133i | ||||
\(502\) | −10.0177 | − | 47.1296i | −0.447112 | − | 2.10350i | ||||
\(503\) | −18.3886 | + | 25.3097i | −0.819907 | + | 1.12850i | 0.169812 | + | 0.985477i | \(0.445684\pi\) |
−0.989719 | + | 0.143028i | \(0.954316\pi\) | |||||||
\(504\) | 58.0628 | + | 32.6197i | 2.58632 | + | 1.45300i | ||||
\(505\) | −5.60327 | + | 23.6968i | −0.249342 | + | 1.05450i | ||||
\(506\) | −3.12707 | − | 1.39226i | −0.139015 | − | 0.0618936i | ||||
\(507\) | −6.86847 | − | 3.96551i | −0.305039 | − | 0.176114i | ||||
\(508\) | −99.5828 | + | 10.4666i | −4.41827 | + | 0.464379i | ||||
\(509\) | 27.3866 | − | 30.4159i | 1.21389 | − | 1.34816i | 0.294086 | − | 0.955779i | \(-0.404985\pi\) |
0.919803 | − | 0.392381i | \(-0.128349\pi\) | |||||||
\(510\) | −8.02897 | + | 13.2035i | −0.355529 | + | 0.584659i | ||||
\(511\) | −19.0760 | + | 6.44674i | −0.843871 | + | 0.285187i | ||||
\(512\) | −9.55039 | + | 3.10311i | −0.422071 | + | 0.137139i | ||||
\(513\) | 1.05942 | + | 0.953902i | 0.0467743 | + | 0.0421158i | ||||
\(514\) | −19.7326 | − | 21.9153i | −0.870368 | − | 0.966641i | ||||
\(515\) | −5.83159 | + | 1.10151i | −0.256971 | + | 0.0485383i | ||||
\(516\) | 51.2143 | − | 56.8793i | 2.25458 | − | 2.50397i | ||||
\(517\) | −0.606942 | − | 0.835385i | −0.0266933 | − | 0.0367402i | ||||
\(518\) | 46.2321 | − | 34.4262i | 2.03132 | − | 1.51260i | ||||
\(519\) | 43.5321 | − | 31.6279i | 1.91085 | − | 1.38831i | ||||
\(520\) | 75.8484 | + | 26.5671i | 3.32617 | + | 1.16504i | ||||
\(521\) | −10.4259 | + | 4.64189i | −0.456765 | + | 0.203365i | −0.622204 | − | 0.782855i | \(-0.713763\pi\) |
0.165439 | + | 0.986220i | \(0.447096\pi\) | |||||||
\(522\) | −9.74753 | − | 21.8933i | −0.426638 | − | 0.958244i | ||||
\(523\) | −0.727616 | − | 3.42316i | −0.0318164 | − | 0.149684i | 0.959372 | − | 0.282144i | \(-0.0910457\pi\) |
−0.991188 | + | 0.132460i | \(0.957712\pi\) | |||||||
\(524\) | −54.8996 | −2.39830 | ||||||||
\(525\) | 17.8861 | + | 26.4519i | 0.780612 | + | 1.15445i | ||||
\(526\) | 29.2282 | 1.27441 | ||||||||
\(527\) | 1.53927 | + | 7.24169i | 0.0670516 | + | 0.315453i | ||||
\(528\) | 10.4549 | + | 23.4820i | 0.454990 | + | 1.02192i | ||||
\(529\) | 18.6666 | − | 8.31090i | 0.811590 | − | 0.361343i | ||||
\(530\) | −36.3962 | + | 47.7706i | −1.58095 | + | 2.07502i | ||||
\(531\) | −17.6475 | + | 12.8217i | −0.765838 | + | 0.556414i | ||||
\(532\) | −43.7700 | − | 18.8750i | −1.89767 | − | 0.818337i | ||||
\(533\) | 6.79105 | + | 9.34707i | 0.294153 | + | 0.404867i | ||||
\(534\) | −22.3082 | + | 24.7757i | −0.965369 | + | 1.07215i | ||||
\(535\) | −2.50237 | + | 2.65512i | −0.108187 | + | 0.114791i | ||||
\(536\) | 61.9910 | + | 68.8479i | 2.67760 | + | 2.97378i | ||||
\(537\) | −29.4738 | − | 26.5383i | −1.27189 | − | 1.14521i | ||||
\(538\) | 58.1093 | − | 18.8808i | 2.50527 | − | 0.814011i | ||||
\(539\) | 0.449266 | − | 5.51818i | 0.0193513 | − | 0.237685i | ||||
\(540\) | 4.58001 | − | 1.91552i | 0.197092 | − | 0.0824310i | ||||
\(541\) | 26.9814 | − | 29.9659i | 1.16002 | − | 1.28834i | 0.209456 | − | 0.977818i | \(-0.432831\pi\) |
0.950568 | − | 0.310518i | \(-0.100502\pi\) | |||||||
\(542\) | 18.3796 | − | 1.93177i | 0.789469 | − | 0.0829766i | ||||
\(543\) | −29.8263 | − | 17.2202i | −1.27997 | − | 0.738990i | ||||
\(544\) | −17.9689 | − | 8.00025i | −0.770408 | − | 0.343008i | ||||
\(545\) | −0.902530 | + | 0.0741442i | −0.0386601 | + | 0.00317599i | ||||
\(546\) | 59.8782 | − | 35.5146i | 2.56255 | − | 1.51988i | ||||
\(547\) | 5.11224 | − | 7.03640i | 0.218584 | − | 0.300855i | −0.685617 | − | 0.727962i | \(-0.740468\pi\) |
0.904201 | + | 0.427108i | \(0.140468\pi\) | |||||||
\(548\) | −14.4092 | − | 67.7900i | −0.615531 | − | 2.89584i | ||||
\(549\) | −12.2676 | + | 21.2481i | −0.523568 | + | 0.906846i | ||||
\(550\) | −0.485935 | + | 10.6715i | −0.0207204 | + | 0.455033i | ||||
\(551\) | 5.33811 | + | 9.24588i | 0.227411 | + | 0.393888i | ||||
\(552\) | 32.7564 | + | 10.6432i | 1.39420 | + | 0.453004i | ||||
\(553\) | −14.7619 | + | 26.2762i | −0.627742 | + | 1.11738i | ||||
\(554\) | 13.1509 | + | 9.55466i | 0.558726 | + | 0.405938i | ||||
\(555\) | −0.990347 | + | 43.5199i | −0.0420379 | + | 1.84732i | ||||
\(556\) | 1.45601 | + | 13.8530i | 0.0617487 | + | 0.587499i | ||||
\(557\) | −28.6180 | − | 16.5226i | −1.21258 | − | 0.700084i | −0.249261 | − | 0.968436i | \(-0.580188\pi\) |
−0.963321 | + | 0.268352i | \(0.913521\pi\) | |||||||
\(558\) | −21.6914 | + | 48.7198i | −0.918272 | + | 2.06247i | ||||
\(559\) | −7.46517 | − | 22.9754i | −0.315743 | − | 0.971757i | ||||
\(560\) | −59.7778 | + | 52.6440i | −2.52607 | + | 2.22462i | ||||
\(561\) | −0.625277 | + | 1.92440i | −0.0263992 | + | 0.0812484i | ||||
\(562\) | −51.1462 | − | 46.0523i | −2.15747 | − | 1.94260i | ||||
\(563\) | 8.23794 | − | 38.7565i | 0.347188 | − | 1.63339i | −0.364720 | − | 0.931117i | \(-0.618835\pi\) |
0.711908 | − | 0.702273i | \(-0.247831\pi\) | |||||||
\(564\) | 11.1695 | + | 12.4050i | 0.470321 | + | 0.522344i | ||||
\(565\) | −32.7892 | + | 22.7013i | −1.37945 | + | 0.955050i | ||||
\(566\) | −2.74485 | − | 8.44779i | −0.115375 | − | 0.355087i | ||||
\(567\) | 7.47856 | − | 23.9707i | 0.314070 | − | 1.00668i | ||||
\(568\) | 41.4863i | 1.74073i | ||||||||
\(569\) | −19.6469 | − | 8.74736i | −0.823640 | − | 0.366708i | −0.0487554 | − | 0.998811i | \(-0.515525\pi\) |
−0.774885 | + | 0.632102i | \(0.782192\pi\) | |||||||
\(570\) | 43.4988 | − | 23.8113i | 1.82196 | − | 0.997346i | ||||
\(571\) | −42.8161 | + | 19.0630i | −1.79180 | + | 0.797760i | −0.816341 | + | 0.577570i | \(0.804001\pi\) |
−0.975457 | + | 0.220190i | \(0.929332\pi\) | |||||||
\(572\) | 16.8143 | + | 1.76725i | 0.703041 | + | 0.0738926i | ||||
\(573\) | 33.9697 | + | 11.0374i | 1.41911 | + | 0.461095i | ||||
\(574\) | −20.3228 | + | 2.37758i | −0.848257 | + | 0.0992383i | ||||
\(575\) | 5.70316 | + | 5.62549i | 0.237838 | + | 0.234599i | ||||
\(576\) | −32.7894 | − | 56.7929i | −1.36623 | − | 2.36637i | ||||
\(577\) | −21.4513 | + | 19.3148i | −0.893028 | + | 0.804086i | −0.981395 | − | 0.192002i | \(-0.938502\pi\) |
0.0883661 | + | 0.996088i | \(0.471835\pi\) | |||||||
\(578\) | 17.4439 | + | 39.1796i | 0.725570 | + | 1.62966i | ||||
\(579\) | 2.46410 | − | 23.4443i | 0.102404 | − | 0.974313i | ||||
\(580\) | 37.0540 | − | 3.04405i | 1.53858 | − | 0.126397i | ||||
\(581\) | −0.735801 | − | 3.27226i | −0.0305261 | − | 0.135756i | ||||
\(582\) | − | 29.1642i | − | 1.20890i | ||||||
\(583\) | −3.19850 | + | 7.18394i | −0.132468 | + | 0.297528i | ||||
\(584\) | 66.2999 | + | 14.0925i | 2.74351 | + | 0.583151i | ||||
\(585\) | −3.24230 | + | 25.2975i | −0.134053 | + | 1.04592i | ||||
\(586\) | 1.68262 | − | 0.357652i | 0.0695084 | − | 0.0147745i | ||||
\(587\) | 21.9302 | − | 7.12555i | 0.905156 | − | 0.294103i | 0.180793 | − | 0.983521i | \(-0.442134\pi\) |
0.724364 | + | 0.689418i | \(0.242134\pi\) | |||||||
\(588\) | 2.10158 | + | 89.4756i | 0.0866675 | + | 3.68991i | ||||
\(589\) | 7.34166 | − | 22.5953i | 0.302508 | − | 0.931023i | ||||
\(590\) | −13.3934 | − | 44.6529i | −0.551399 | − | 1.83833i | ||||
\(591\) | 55.6351 | + | 11.8256i | 2.28852 | + | 0.486441i | ||||
\(592\) | −107.995 | + | 11.3508i | −4.43859 | + | 0.466514i | ||||
\(593\) | −3.38925 | + | 1.95678i | −0.139180 | + | 0.0803555i | −0.567973 | − | 0.823047i | \(-0.692272\pi\) |
0.428793 | + | 0.903403i | \(0.358939\pi\) | |||||||
\(594\) | 0.724469 | − | 0.526358i | 0.0297253 | − | 0.0215967i | ||||
\(595\) | −6.26998 | − | 0.0690388i | −0.257044 | − | 0.00283032i | ||||
\(596\) | −0.594552 | − | 0.431968i | −0.0243538 | − | 0.0176941i | ||||
\(597\) | 22.7313 | + | 2.38915i | 0.930328 | + | 0.0977814i | ||||
\(598\) | 12.9793 | − | 11.6866i | 0.530764 | − | 0.477902i | ||||
\(599\) | −6.17459 | + | 10.6947i | −0.252287 | + | 0.436974i | −0.964155 | − | 0.265339i | \(-0.914516\pi\) |
0.711868 | + | 0.702313i | \(0.247849\pi\) | |||||||
\(600\) | −6.36115 | − | 107.299i | −0.259693 | − | 4.38045i | ||||
\(601\) | 8.03546 | 0.327773 | 0.163887 | − | 0.986479i | \(-0.447597\pi\) | ||||
0.163887 | + | 0.986479i | \(0.447597\pi\) | |||||||
\(602\) | 41.9500 | + | 8.40318i | 1.70975 | + | 0.342488i | ||||
\(603\) | −17.2813 | + | 23.7856i | −0.703748 | + | 0.968626i | ||||
\(604\) | −7.12677 | + | 67.8066i | −0.289984 | + | 2.75901i | ||||
\(605\) | −4.30565 | − | 22.7949i | −0.175050 | − | 0.926744i | ||||
\(606\) | −7.42205 | − | 70.6161i | −0.301500 | − | 2.86858i | ||||
\(607\) | −26.6808 | + | 15.4042i | −1.08294 | + | 0.625237i | −0.931689 | − | 0.363258i | \(-0.881664\pi\) |
−0.151253 | + | 0.988495i | \(0.548331\pi\) | |||||||
\(608\) | 37.1010 | + | 51.0651i | 1.50464 | + | 2.07096i | ||||
\(609\) | 11.5916 | − | 16.3549i | 0.469715 | − | 0.662733i | ||||
\(610\) | −34.1901 | − | 39.7547i | −1.38432 | − | 1.60962i | ||||
\(611\) | 5.15352 | − | 1.09541i | 0.208489 | − | 0.0443157i | ||||
\(612\) | 3.29908 | − | 15.5209i | 0.133357 | − | 0.627397i | ||||
\(613\) | 8.74339 | − | 41.1344i | 0.353142 | − | 1.66140i | −0.339865 | − | 0.940474i | \(-0.610382\pi\) |
0.693008 | − | 0.720930i | \(-0.256285\pi\) | |||||||
\(614\) | −81.6793 | + | 17.3615i | −3.29631 | + | 0.700652i | ||||
\(615\) | 8.02869 | − | 13.2030i | 0.323748 | − | 0.532396i | ||||
\(616\) | −10.7766 | + | 15.2050i | −0.434201 | + | 0.612627i | ||||
\(617\) | 4.89422 | + | 6.73631i | 0.197034 | + | 0.271194i | 0.896089 | − | 0.443874i | \(-0.146396\pi\) |
−0.699056 | + | 0.715067i | \(0.746396\pi\) | |||||||
\(618\) | 14.9870 | − | 8.65276i | 0.602866 | − | 0.348065i | ||||
\(619\) | 0.393004 | + | 3.73918i | 0.0157962 | + | 0.150290i | 0.999577 | − | 0.0290844i | \(-0.00925917\pi\) |
−0.983781 | + | 0.179375i | \(0.942593\pi\) | |||||||
\(620\) | −60.2088 | − | 56.7451i | −2.41804 | − | 2.27894i | ||||
\(621\) | 0.0701933 | − | 0.667845i | 0.00281676 | − | 0.0267997i | ||||
\(622\) | 27.3278 | − | 37.6135i | 1.09575 | − | 1.50816i | ||||
\(623\) | −13.2645 | − | 2.65706i | −0.531429 | − | 0.106453i | ||||
\(624\) | −131.152 | −5.25030 | ||||||||
\(625\) | 9.85433 | − | 22.9759i | 0.394173 | − | 0.919036i | ||||
\(626\) | −13.0280 | + | 22.5651i | −0.520703 | + | 0.901884i | ||||
\(627\) | 4.82547 | − | 4.34487i | 0.192711 | − | 0.173518i | ||||
\(628\) | 46.5430 | + | 4.89186i | 1.85727 | + | 0.195207i | ||||
\(629\) | −6.91565 | − | 5.02451i | −0.275745 | − | 0.200340i | ||||
\(630\) | −36.2473 | − | 26.9499i | −1.44413 | − | 1.07371i | ||||
\(631\) | −8.07268 | + | 5.86514i | −0.321368 | + | 0.233488i | −0.736759 | − | 0.676155i | \(-0.763645\pi\) |
0.415391 | + | 0.909643i | \(0.363645\pi\) | |||||||
\(632\) | 87.8610 | − | 50.7266i | 3.49492 | − | 2.01779i | ||||
\(633\) | 11.4899 | − | 1.20764i | 0.456682 | − | 0.0479992i | ||||
\(634\) | 17.3634 | + | 3.69070i | 0.689588 | + | 0.146576i | ||||
\(635\) | 42.2585 | + | 0.961643i | 1.67698 | + | 0.0381616i | ||||
\(636\) | 39.2834 | − | 120.902i | 1.55769 | − | 4.79407i | ||||
\(637\) | 24.7892 | + | 13.5461i | 0.982183 | + | 0.536716i | ||||
\(638\) | 6.37813 | − | 2.07238i | 0.252513 | − | 0.0820463i | ||||
\(639\) | −12.8780 | + | 2.73730i | −0.509446 | + | 0.108286i | ||||
\(640\) | 56.1630 | − | 10.6084i | 2.22004 | − | 0.419335i | ||||
\(641\) | 5.10632 | + | 1.08538i | 0.201688 | + | 0.0428700i | 0.307648 | − | 0.951500i | \(-0.400458\pi\) |
−0.105960 | + | 0.994370i | \(0.533792\pi\) | |||||||
\(642\) | 4.32725 | − | 9.71917i | 0.170783 | − | 0.383585i | ||||
\(643\) | − | 10.1115i | − | 0.398759i | −0.979922 | − | 0.199379i | \(-0.936107\pi\) | ||
0.979922 | − | 0.199379i | \(-0.0638926\pi\) | |||||||
\(644\) | 4.92586 | + | 21.9063i | 0.194106 | + | 0.863230i | ||||
\(645\) | −24.4967 | + | 21.0678i | −0.964556 | + | 0.829543i | ||||
\(646\) | −1.01789 | + | 9.68455i | −0.0400482 | + | 0.381033i | ||||
\(647\) | 15.7912 | + | 35.4676i | 0.620816 | + | 1.39438i | 0.900742 | + | 0.434354i | \(0.143023\pi\) |
−0.279926 | + | 0.960022i | \(0.590310\pi\) | |||||||
\(648\) | −62.8149 | + | 56.5588i | −2.46760 | + | 2.22184i | ||||
\(649\) | −3.05213 | − | 5.28644i | −0.119806 | − | 0.207511i | ||||
\(650\) | −48.7338 | − | 24.4117i | −1.91150 | − | 0.957507i | ||||
\(651\) | −44.3070 | + | 5.18352i | −1.73653 | + | 0.203158i | ||||
\(652\) | −11.4822 | − | 3.73079i | −0.449677 | − | 0.146109i | ||||
\(653\) | 10.3659 | + | 1.08949i | 0.405647 | + | 0.0426352i | 0.305155 | − | 0.952303i | \(-0.401292\pi\) |
0.100492 | + | 0.994938i | \(0.467958\pi\) | |||||||
\(654\) | 2.41233 | − | 1.07404i | 0.0943297 | − | 0.0419983i | ||||
\(655\) | 22.9873 | + | 2.94621i | 0.898189 | + | 0.115118i | ||||
\(656\) | 35.2143 | + | 15.6784i | 1.37489 | + | 0.612139i | ||||
\(657\) | 21.5104i | 0.839199i | ||||||||
\(658\) | −2.77897 | + | 8.90731i | −0.108335 | + | 0.347243i | ||||
\(659\) | 10.3404 | + | 31.8246i | 0.402806 | + | 1.23971i | 0.922713 | + | 0.385487i | \(0.125966\pi\) |
−0.519908 | + | 0.854223i | \(0.674034\pi\) | |||||||
\(660\) | −6.49651 | − | 21.6590i | −0.252876 | − | 0.843074i | ||||
\(661\) | 25.4397 | + | 28.2537i | 0.989491 | + | 1.09894i | 0.995092 | + | 0.0989566i | \(0.0315505\pi\) |
−0.00560092 | + | 0.999984i | \(0.501783\pi\) | |||||||
\(662\) | −14.9845 | + | 70.4964i | −0.582388 | + | 2.73992i | ||||
\(663\) | −7.67245 | − | 6.90830i | −0.297973 | − | 0.268296i | ||||
\(664\) | −3.48883 | + | 10.7375i | −0.135393 | + | 0.416696i | ||||
\(665\) | 17.3142 | + | 10.2522i | 0.671418 | + | 0.397563i | ||||
\(666\) | −19.0282 | − | 58.5628i | −0.737328 | − | 2.26926i | ||||
\(667\) | 2.04550 | − | 4.59427i | 0.0792021 | − | 0.177891i | ||||
\(668\) | −29.0849 | − | 16.7922i | −1.12533 | − | 0.649709i | ||||
\(669\) | 1.90181 | + | 18.0945i | 0.0735282 | + | 0.699574i | ||||
\(670\) | −35.7662 | − | 51.6599i | −1.38177 | − | 1.99580i | ||||
\(671\) | −5.55460 | − | 4.03565i | −0.214433 | − | 0.155795i | ||||
\(672\) | 58.0491 | − | 103.327i | 2.23929 | − | 3.98593i | ||||
\(673\) | 14.7859 | + | 4.80424i | 0.569956 | + | 0.185190i | 0.579796 | − | 0.814762i | \(-0.303132\pi\) |
−0.00983998 | + | 0.999952i | \(0.503132\pi\) | |||||||
\(674\) | 3.80590 | + | 6.59201i | 0.146598 | + | 0.253915i | ||||
\(675\) | −2.02052 | + | 0.556270i | −0.0777698 | + | 0.0214108i | ||||
\(676\) | −8.70219 | + | 15.0726i | −0.334700 | + | 0.579717i | ||||
\(677\) | 6.62543 | + | 31.1702i | 0.254636 | + | 1.19797i | 0.900617 | + | 0.434614i | \(0.143115\pi\) |
−0.645981 | + | 0.763354i | \(0.723551\pi\) | |||||||
\(678\) | 68.3547 | − | 94.0821i | 2.62514 | − | 3.61320i | ||||
\(679\) | 10.1783 | − | 6.03690i | 0.390608 | − | 0.231675i | ||||
\(680\) | 18.0346 | + | 10.9667i | 0.691594 | + | 0.420555i | ||||
\(681\) | −20.5785 | − | 9.16214i | −0.788570 | − | 0.351094i | ||||
\(682\) | −12.9244 | − | 7.46193i | −0.494902 | − | 0.285732i | ||||
\(683\) | 18.3662 | − | 1.93037i | 0.702763 | − | 0.0738634i | 0.253595 | − | 0.967310i | \(-0.418387\pi\) |
0.449168 | + | 0.893447i | \(0.351720\pi\) | |||||||
\(684\) | −34.0722 | + | 37.8411i | −1.30278 | + | 1.44689i | ||||
\(685\) | 2.39537 | + | 29.1580i | 0.0915225 | + | 1.11407i | ||||
\(686\) | −42.4182 | + | 26.5246i | −1.61954 | + | 1.01272i | ||||
\(687\) | 47.3993 | − | 15.4010i | 1.80840 | − | 0.587584i | ||||
\(688\) | −59.8965 | − | 53.9311i | −2.28353 | − | 2.05610i | ||||
\(689\) | −26.8481 | − | 29.8179i | −1.02283 | − | 1.13597i | ||||
\(690\) | −21.1180 | − | 9.98408i | −0.803950 | − | 0.380087i | ||||
\(691\) | −18.8162 | + | 20.8975i | −0.715801 | + | 0.794977i | −0.985807 | − | 0.167881i | \(-0.946307\pi\) |
0.270007 | + | 0.962858i | \(0.412974\pi\) | |||||||
\(692\) | −69.4065 | − | 95.5299i | −2.63844 | − | 3.63150i | ||||
\(693\) | −5.43092 | − | 2.34199i | −0.206304 | − | 0.0889647i | ||||
\(694\) | −59.5511 | + | 43.2664i | −2.26053 | + | 1.64237i | ||||
\(695\) | 0.133775 | − | 5.87862i | 0.00507437 | − | 0.222989i | ||||
\(696\) | −61.6452 | + | 27.4462i | −2.33665 | + | 1.04035i | ||||
\(697\) | 1.23420 | + | 2.77206i | 0.0467488 | + | 0.104999i | ||||
\(698\) | −8.98057 | − | 42.2503i | −0.339920 | − | 1.59920i | ||||
\(699\) | 17.5803 | 0.664950 | ||||||||
\(700\) | 58.0478 | − | 39.2504i | 2.19400 | − | 1.48353i | ||||
\(701\) | 4.70394 | 0.177665 | 0.0888326 | − | 0.996047i | \(-0.471686\pi\) | ||||
0.0888326 | + | 0.996047i | \(0.471686\pi\) | |||||||
\(702\) | 0.949974 | + | 4.46928i | 0.0358545 | + | 0.168682i | ||||
\(703\) | 11.1575 | + | 25.0600i | 0.420811 | + | 0.945158i | ||||
\(704\) | 16.7649 | − | 7.46419i | 0.631849 | − | 0.281317i | ||||
\(705\) | −4.01112 | − | 5.79357i | −0.151068 | − | 0.218199i | ||||
\(706\) | −22.2875 | + | 16.1928i | −0.838800 | + | 0.609424i | ||||
\(707\) | 23.1087 | − | 17.2076i | 0.869091 | − | 0.647158i | ||||
\(708\) | 58.0023 | + | 79.8333i | 2.17986 | + | 3.00032i | ||||
\(709\) | −6.93666 | + | 7.70394i | −0.260512 | + | 0.289328i | −0.859184 | − | 0.511666i | \(-0.829028\pi\) |
0.598672 | + | 0.800994i | \(0.295695\pi\) | |||||||
\(710\) | 3.57694 | − | 27.9084i | 0.134240 | − | 1.04738i | ||||
\(711\) | 21.5435 | + | 23.9265i | 0.807944 | + | 0.897313i | ||||
\(712\) | 33.8411 | + | 30.4706i | 1.26825 | + | 1.14194i | ||||
\(713\) | −10.6436 | + | 3.45830i | −0.398604 | + | 0.129514i | ||||
\(714\) | 17.3218 | − | 5.85393i | 0.648253 | − | 0.219078i | ||||
\(715\) | −6.94556 | − | 1.64232i | −0.259749 | − | 0.0614194i | ||||
\(716\) | −58.2375 | + | 64.6793i | −2.17644 | + | 2.41718i | ||||
\(717\) | −32.2004 | + | 3.38440i | −1.20255 | + | 0.126393i | ||||
\(718\) | 31.8501 | + | 18.3887i | 1.18864 | + | 0.686260i | ||||
\(719\) | 6.29694 | + | 2.80358i | 0.234836 | + | 0.104556i | 0.520781 | − | 0.853690i | \(-0.325641\pi\) |
−0.285945 | + | 0.958246i | \(0.592307\pi\) | |||||||
\(720\) | 32.8324 | + | 78.5022i | 1.22359 | + | 2.92561i | ||||
\(721\) | 6.12207 | + | 3.43938i | 0.227998 | + | 0.128089i | ||||
\(722\) | −11.7999 | + | 16.2412i | −0.439146 | + | 0.604433i | ||||
\(723\) | 10.6864 | + | 50.2756i | 0.397432 | + | 1.86977i | ||||
\(724\) | −37.7892 | + | 65.4529i | −1.40443 | + | 2.43254i | ||||
\(725\) | −15.6785 | − | 0.713933i | −0.582283 | − | 0.0265148i | ||||
\(726\) | 33.8224 | + | 58.5822i | 1.25527 | + | 2.17419i | ||||
\(727\) | −31.4680 | − | 10.2246i | −1.16708 | − | 0.379208i | −0.339529 | − | 0.940596i | \(-0.610268\pi\) |
−0.827553 | + | 0.561388i | \(0.810268\pi\) | |||||||
\(728\) | −48.5092 | − | 81.7874i | −1.79787 | − | 3.03124i | ||||
\(729\) | −19.2459 | − | 13.9829i | −0.712810 | − | 0.517886i | ||||
\(730\) | −43.3859 | − | 15.1966i | −1.60578 | − | 0.562451i | ||||
\(731\) | −0.663204 | − | 6.30996i | −0.0245295 | − | 0.233382i | ||||
\(732\) | 96.1212 | + | 55.4956i | 3.55274 | + | 2.05118i | ||||
\(733\) | 14.3780 | − | 32.2935i | 0.531064 | − | 1.19279i | −0.426479 | − | 0.904497i | \(-0.640246\pi\) |
0.957543 | − | 0.288291i | \(-0.0930870\pi\) | |||||||
\(734\) | −10.3292 | − | 31.7899i | −0.381256 | − | 1.17339i | ||||
\(735\) | 3.92179 | − | 37.5776i | 0.144657 | − | 1.38607i | ||||
\(736\) | 9.18792 | − | 28.2775i | 0.338671 | − | 1.04232i | ||||
\(737\) | −6.11415 | − | 5.50521i | −0.225218 | − | 0.202787i | ||||
\(738\) | −4.54456 | + | 21.3805i | −0.167288 | + | 0.787026i | ||||
\(739\) | 18.1656 | + | 20.1750i | 0.668234 | + | 0.742149i | 0.977986 | − | 0.208669i | \(-0.0669130\pi\) |
−0.309753 | + | 0.950817i | \(0.600246\pi\) | |||||||
\(740\) | 95.5031 | + | 2.17329i | 3.51076 | + | 0.0798916i | ||||
\(741\) | 10.2381 | + | 31.5096i | 0.376106 | + | 1.15753i | ||||
\(742\) | 69.3281 | − | 15.5891i | 2.54511 | − | 0.572294i | ||||
\(743\) | 41.0539i | 1.50612i | 0.657950 | + | 0.753061i | \(0.271424\pi\) | ||||
−0.657950 | + | 0.753061i | \(0.728576\pi\) | |||||||
\(744\) | 137.181 | + | 61.0768i | 5.02929 | + | 2.23918i | ||||
\(745\) | 0.225766 | + | 0.212778i | 0.00827144 | + | 0.00779560i | ||||
\(746\) | 54.4859 | − | 24.2587i | 1.99487 | − | 0.888174i | ||||
\(747\) | −3.56329 | − | 0.374517i | −0.130374 | − | 0.0137028i | ||||
\(748\) | 4.22304 | + | 1.37215i | 0.154410 | + | 0.0501708i | ||||
\(749\) | 4.28772 | − | 0.501623i | 0.156670 | − | 0.0183289i | ||||
\(750\) | −4.97202 | + | 72.7298i | −0.181553 | + | 2.65572i | ||||
\(751\) | −19.2411 | − | 33.3265i | −0.702116 | − | 1.21610i | −0.967722 | − | 0.252019i | \(-0.918905\pi\) |
0.265606 | − | 0.964082i | \(-0.414428\pi\) | |||||||
\(752\) | 13.0630 | − | 11.7620i | 0.476360 | − | 0.428916i | ||||
\(753\) | −17.5118 | − | 39.3321i | −0.638164 | − | 1.43334i | ||||
\(754\) | −3.57678 | + | 34.0308i | −0.130259 | + | 1.23933i | ||||
\(755\) | 6.62296 | − | 28.0092i | 0.241034 | − | 1.01936i | ||||
\(756\) | −5.60745 | − | 1.74945i | −0.203941 | − | 0.0636270i | ||||
\(757\) | 42.9315i | 1.56037i | 0.625548 | + | 0.780186i | \(0.284875\pi\) | ||||
−0.625548 | + | 0.780186i | \(0.715125\pi\) | |||||||
\(758\) | 6.92872 | − | 15.5622i | 0.251663 | − | 0.565243i | ||||
\(759\) | −2.99184 | − | 0.635936i | −0.108597 | − | 0.0230830i | ||||
\(760\) | −32.5238 | − | 59.4147i | −1.17976 | − | 2.15520i | ||||
\(761\) | 24.3365 | − | 5.17289i | 0.882198 | − | 0.187517i | 0.255528 | − | 0.966802i | \(-0.417751\pi\) |
0.626670 | + | 0.779285i | \(0.284417\pi\) | |||||||
\(762\) | −117.224 | + | 38.0885i | −4.24659 | + | 1.37980i | ||||
\(763\) | 0.874185 | + | 0.619582i | 0.0316476 | + | 0.0224304i | ||||
\(764\) | 24.2213 | − | 74.5455i | 0.876296 | − | 2.69696i | ||||
\(765\) | −2.21431 | + | 6.32181i | −0.0800586 | + | 0.228565i | ||||
\(766\) | −1.30669 | − | 0.277745i | −0.0472126 | − | 0.0100353i | ||||
\(767\) | 30.9754 | − | 3.25565i | 1.11846 | − | 0.117555i | ||||
\(768\) | −47.3317 | + | 27.3270i | −1.70794 | + | 0.986078i | ||||
\(769\) | −29.3208 | + | 21.3028i | −1.05733 | + | 0.768198i | −0.973593 | − | 0.228290i | \(-0.926687\pi\) |
−0.0837404 | + | 0.996488i | \(0.526687\pi\) | |||||||
\(770\) | 8.56055 | − | 9.29947i | 0.308501 | − | 0.335130i | ||||
\(771\) | −21.3186 | − | 15.4889i | −0.767770 | − | 0.557817i | ||||
\(772\) | −51.4479 | − | 5.40739i | −1.85165 | − | 0.194616i | ||||
\(773\) | −19.0578 | + | 17.1597i | −0.685461 | + | 0.617191i | −0.936451 | − | 0.350798i | \(-0.885910\pi\) |
0.250991 | + | 0.967990i | \(0.419244\pi\) | |||||||
\(774\) | 22.8519 | − | 39.5807i | 0.821395 | − | 1.42270i | ||||
\(775\) | 22.1651 | + | 26.9912i | 0.796194 | + | 0.969551i | ||||
\(776\) | −39.8353 | −1.43000 | ||||||||
\(777\) | 34.0130 | − | 38.6790i | 1.22021 | − | 1.38760i | ||||
\(778\) | 1.64416 | − | 2.26300i | 0.0589462 | − | 0.0811324i | ||||
\(779\) | 1.01785 | − | 9.68420i | 0.0364683 | − | 0.346973i | ||||
\(780\) | 114.440 | + | 14.6674i | 4.09760 | + | 0.525177i | ||||
\(781\) | −0.385110 | − | 3.66407i | −0.0137803 | − | 0.131111i | ||||
\(782\) | 3.97250 | − | 2.29352i | 0.142056 | − | 0.0820163i | ||||
\(783\) | 0.773321 | + | 1.06438i | 0.0276362 | + | 0.0380380i | ||||
\(784\) | 94.2221 | − | 2.21306i | 3.36507 | − | 0.0790378i | ||||
\(785\) | −19.2257 | − | 4.54605i | −0.686196 | − | 0.162255i | ||||
\(786\) | −66.1022 | + | 14.0504i | −2.35779 | + | 0.501163i | ||||
\(787\) | 2.97862 | − | 14.0133i | 0.106176 | − | 0.499521i | −0.892635 | − | 0.450780i | \(-0.851146\pi\) |
0.998811 | − | 0.0487406i | \(-0.0155208\pi\) | |||||||
\(788\) | 25.9509 | − | 122.090i | 0.924464 | − | 4.34926i | ||||
\(789\) | 25.5466 | − | 5.43009i | 0.909483 | − | 0.193316i | ||||
\(790\) | −63.4791 | + | 26.5492i | −2.25848 | + | 0.944577i | ||||
\(791\) | 46.9838 | + | 4.38110i | 1.67055 | + | 0.155774i | ||||
\(792\) | 11.7021 | + | 16.1066i | 0.415818 | + | 0.572324i | ||||
\(793\) | 30.3386 | − | 17.5160i | 1.07736 | − | 0.622012i | ||||
\(794\) | −8.47610 | − | 80.6447i | −0.300806 | − | 2.86197i | ||||
\(795\) | −22.9368 | + | 48.5153i | −0.813484 | + | 1.72066i | ||||
\(796\) | 5.24292 | − | 49.8830i | 0.185830 | − | 1.76806i | ||||
\(797\) | −2.19057 | + | 3.01507i | −0.0775941 | + | 0.106799i | −0.846050 | − | 0.533104i | \(-0.821025\pi\) |
0.768456 | + | 0.639903i | \(0.221025\pi\) | |||||||
\(798\) | −57.5322 | − | 11.5245i | −2.03662 | − | 0.407964i | ||||
\(799\) | 1.38374 | 0.0489532 | ||||||||
\(800\) | −92.6275 | + | 5.49138i | −3.27488 | + | 0.194150i | ||||
\(801\) | −7.22570 | + | 12.5153i | −0.255308 | + | 0.442206i | ||||
\(802\) | 11.4498 | − | 10.3094i | 0.404305 | − | 0.364038i | ||||
\(803\) | −5.98643 | − | 0.629199i | −0.211257 | − | 0.0222040i | ||||
\(804\) | 107.601 | + | 78.1763i | 3.79478 | + | 2.75707i | ||||
\(805\) | −0.886919 | − | 9.43686i | −0.0312598 | − | 0.332606i | ||||
\(806\) | 61.6041 | − | 44.7580i | 2.16991 | − | 1.57653i | ||||
\(807\) | 47.2821 | − | 27.2983i | 1.66441 | − | 0.960947i | ||||
\(808\) | −96.4542 | + | 10.1377i | −3.39325 | + | 0.356645i | ||||
\(809\) | −14.1726 | − | 3.01247i | −0.498281 | − | 0.105913i | −0.0480861 | − | 0.998843i | \(-0.515312\pi\) |
−0.450195 | + | 0.892930i | \(0.648646\pi\) | |||||||
\(810\) | 47.1330 | − | 32.6321i | 1.65609 | − | 1.14657i | ||||
\(811\) | 2.04488 | − | 6.29348i | 0.0718053 | − | 0.220994i | −0.908713 | − | 0.417421i | \(-0.862934\pi\) |
0.980518 | + | 0.196427i | \(0.0629339\pi\) | |||||||
\(812\) | −35.8903 | − | 25.4374i | −1.25950 | − | 0.892677i | ||||
\(813\) | 15.7056 | − | 5.10305i | 0.550819 | − | 0.178972i | ||||
\(814\) | 16.8549 | − | 3.58261i | 0.590763 | − | 0.125571i | ||||
\(815\) | 4.60755 | + | 2.17833i | 0.161395 | + | 0.0763037i | ||||
\(816\) | −33.6927 | − | 7.16160i | −1.17948 | − | 0.250706i | ||||
\(817\) | −8.28137 | + | 18.6003i | −0.289728 | + | 0.650741i | ||||
\(818\) | 11.5591i | 0.404156i | ||||||||
\(819\) | 22.1874 | − | 20.4544i | 0.775291 | − | 0.714736i | ||||
\(820\) | −28.9736 | − | 17.6187i | −1.01180 | − | 0.615272i | ||||
\(821\) | −3.67116 | + | 34.9288i | −0.128124 | + | 1.21902i | 0.721794 | + | 0.692108i | \(0.243318\pi\) |
−0.849918 | + | 0.526914i | \(0.823349\pi\) | |||||||
\(822\) | −34.6990 | − | 77.9351i | −1.21026 | − | 2.71830i | ||||
\(823\) | −6.33166 | + | 5.70105i | −0.220708 | + | 0.198726i | −0.772066 | − | 0.635543i | \(-0.780776\pi\) |
0.551358 | + | 0.834269i | \(0.314110\pi\) | |||||||
\(824\) | −11.8188 | − | 20.4707i | −0.411726 | − | 0.713130i | ||||
\(825\) | 1.55785 | + | 9.41758i | 0.0542374 | + | 0.327878i | ||||
\(826\) | −21.8422 | + | 50.6506i | −0.759987 | + | 1.76236i | ||||
\(827\) | 37.0782 | + | 12.0474i | 1.28934 | + | 0.418930i | 0.871859 | − | 0.489757i | \(-0.162915\pi\) |
0.417476 | + | 0.908688i | \(0.362915\pi\) | |||||||
\(828\) | 23.8546 | + | 2.50722i | 0.829006 | + | 0.0871320i | ||||
\(829\) | −36.0293 | + | 16.0413i | −1.25135 | + | 0.557137i | −0.922044 | − | 0.387085i | \(-0.873482\pi\) |
−0.329307 | + | 0.944223i | \(0.606815\pi\) | |||||||
\(830\) | 3.27277 | − | 6.92247i | 0.113600 | − | 0.240283i | ||||
\(831\) | 13.2695 | + | 5.90795i | 0.460313 | + | 0.204944i | ||||
\(832\) | 93.6355i | 3.24623i | ||||||||
\(833\) | 5.62858 | + | 4.83357i | 0.195019 | + | 0.167473i | ||||
\(834\) | 5.29852 | + | 16.3072i | 0.183473 | + | 0.564671i | ||||
\(835\) | 11.2771 | + | 8.59199i | 0.390261 | + | 0.297338i | ||||
\(836\) | −9.53469 | − | 10.5893i | −0.329764 | − | 0.366240i | ||||
\(837\) | 0.608715 | − | 2.86378i | 0.0210403 | − | 0.0989866i | ||||
\(838\) | 48.8870 | + | 44.0180i | 1.68877 | + | 1.52058i | ||||
\(839\) | 0.439311 | − | 1.35206i | 0.0151667 | − | 0.0466783i | −0.943187 | − | 0.332263i | \(-0.892188\pi\) |
0.958353 | + | 0.285585i | \(0.0921878\pi\) | |||||||
\(840\) | −75.8830 | + | 102.062i | −2.61821 | + | 3.52146i | ||||
\(841\) | −5.91677 | − | 18.2099i | −0.204026 | − | 0.627929i | ||||
\(842\) | −16.5370 | + | 37.1428i | −0.569904 | + | 1.28003i | ||||
\(843\) | −53.2596 | − | 30.7494i | −1.83436 | − | 1.05907i | ||||
\(844\) | −2.65012 | − | 25.2142i | −0.0912209 | − | 0.867908i | ||||
\(845\) | 4.45262 | − | 5.84414i | 0.153175 | − | 0.201044i | ||||
\(846\) | 8.06403 | + | 5.85886i | 0.277247 | + | 0.201432i | ||||
\(847\) | −13.4441 | + | 23.9303i | −0.461943 | + | 0.822256i | ||||
\(848\) | −127.315 | − | 41.3672i | −4.37202 | − | 1.42056i | ||||
\(849\) | −3.96857 | − | 6.87376i | −0.136201 | − | 0.235907i | ||||
\(850\) | −11.1866 | − | 8.93242i | −0.383696 | − | 0.306380i | ||||
\(851\) | 6.46086 | − | 11.1905i | 0.221475 | − | 0.383607i | ||||
\(852\) | 12.3829 | + | 58.2570i | 0.424231 | + | 1.99585i | ||||
\(853\) | 14.1138 | − | 19.4260i | 0.483248 | − | 0.665134i | −0.495877 | − | 0.868393i | \(-0.665153\pi\) |
0.979125 | + | 0.203259i | \(0.0651534\pi\) | |||||||
\(854\) | 0.728455 | + | 62.0373i | 0.0249272 | + | 2.12287i | ||||
\(855\) | 16.2973 | − | 14.0161i | 0.557357 | − | 0.479342i | ||||
\(856\) | −13.2754 | − | 5.91057i | −0.453743 | − | 0.202019i | ||||
\(857\) | 22.3739 | + | 12.9176i | 0.764278 | + | 0.441256i | 0.830830 | − | 0.556527i | \(-0.187866\pi\) |
−0.0665513 | + | 0.997783i | \(0.521200\pi\) | |||||||
\(858\) | 20.6976 | − | 2.17541i | 0.706605 | − | 0.0742672i | ||||
\(859\) | −30.6490 | + | 34.0392i | −1.04573 | + | 1.16140i | −0.0591296 | + | 0.998250i | \(0.518833\pi\) |
−0.986601 | + | 0.163151i | \(0.947834\pi\) | |||||||
\(860\) | 46.2326 | + | 53.7572i | 1.57652 | + | 1.83311i | ||||
\(861\) | −17.3212 | + | 5.85373i | −0.590305 | + | 0.199495i | ||||
\(862\) | 30.5959 | − | 9.94120i | 1.04210 | − | 0.338599i | ||||
\(863\) | −0.479819 | − | 0.432031i | −0.0163332 | − | 0.0147065i | 0.660924 | − | 0.750453i | \(-0.270165\pi\) |
−0.677257 | + | 0.735747i | \(0.736831\pi\) | |||||||
\(864\) | 5.20476 | + | 5.78047i | 0.177069 | + | 0.196656i | ||||
\(865\) | 23.9349 | + | 43.7246i | 0.813812 | + | 1.48668i | ||||
\(866\) | −18.7422 | + | 20.8154i | −0.636887 | + | 0.707335i | ||||
\(867\) | 22.5256 | + | 31.0038i | 0.765009 | + | 1.05294i | ||||
\(868\) | 11.3751 | + | 97.2304i | 0.386095 | + | 3.30021i | ||||
\(869\) | −7.28901 | + | 5.29578i | −0.247263 | + | 0.179647i | ||||
\(870\) | 43.8360 | − | 13.1484i | 1.48618 | − | 0.445773i | ||||
\(871\) | 38.3499 | − | 17.0745i | 1.29944 | − | 0.578546i | ||||
\(872\) | −1.46703 | − | 3.29499i | −0.0496798 | − | 0.111583i | ||||
\(873\) | −2.62837 | − | 12.3655i | −0.0889568 | − | 0.418509i | ||||
\(874\) | −14.7201 | −0.497914 | ||||||||
\(875\) | −26.4119 | + | 13.3196i | −0.892885 | + | 0.450284i | ||||
\(876\) | 97.3078 | 3.28773 | ||||||||
\(877\) | −0.702607 | − | 3.30551i | −0.0237254 | − | 0.111619i | 0.964691 | − | 0.263382i | \(-0.0848381\pi\) |
−0.988417 | + | 0.151763i | \(0.951505\pi\) | |||||||
\(878\) | −26.7444 | − | 60.0688i | −0.902579 | − | 2.02723i | ||||
\(879\) | 1.40423 | − | 0.625205i | 0.0473636 | − | 0.0210876i | ||||
\(880\) | −22.8079 | + | 6.84113i | −0.768854 | + | 0.230615i | ||||
\(881\) | −10.0900 | + | 7.33079i | −0.339940 | + | 0.246981i | −0.744636 | − | 0.667470i | \(-0.767377\pi\) |
0.404697 | + | 0.914451i | \(0.367377\pi\) | |||||||
\(882\) | 12.3360 | + | 52.0005i | 0.415375 | + | 1.75095i | ||||
\(883\) | 15.3825 | + | 21.1722i | 0.517663 | + | 0.712502i | 0.985188 | − | 0.171478i | \(-0.0548542\pi\) |
−0.467525 | + | 0.883980i | \(0.654854\pi\) | |||||||
\(884\) | −15.1601 | + | 16.8370i | −0.509888 | + | 0.566288i | ||||
\(885\) | −20.0021 | − | 36.5401i | −0.672365 | − | 1.22828i | ||||
\(886\) | 26.5213 | + | 29.4549i | 0.891000 | + | 0.989556i | ||||
\(887\) | −36.3048 | − | 32.6890i | −1.21899 | − | 1.09759i | −0.992330 | − | 0.123615i | \(-0.960551\pi\) |
−0.226665 | − | 0.973973i | \(-0.572782\pi\) | |||||||
\(888\) | −164.896 | + | 53.5778i | −5.53353 | + | 1.79795i | ||||
\(889\) | −37.5580 | − | 33.0271i | −1.25965 | − | 1.10769i | ||||
\(890\) | −20.1382 | − | 23.4158i | −0.675035 | − | 0.784900i | ||||
\(891\) | 5.02280 | − | 5.57838i | 0.168270 | − | 0.186883i | ||||
\(892\) | 39.7079 | − | 4.17346i | 1.32952 | − | 0.139738i | ||||
\(893\) | −3.84558 | − | 2.22025i | −0.128687 | − | 0.0742977i | ||||
\(894\) | −0.826427 | − | 0.367949i | −0.0276399 | − | 0.0123061i | ||||
\(895\) | 27.8560 | − | 23.9569i | 0.931124 | − | 0.800791i | ||||
\(896\) | −58.9606 | − | 33.1240i | −1.96973 | − | 1.10660i | ||||
\(897\) | 9.17327 | − | 12.6259i | 0.306286 | − | 0.421567i | ||||
\(898\) | 8.49314 | + | 39.9571i | 0.283420 | + | 1.33338i | ||||
\(899\) | 10.9630 | − | 18.9885i | 0.365637 | − | 0.633302i | ||||
\(900\) | −19.8693 | − | 72.1705i | −0.662310 | − | 2.40568i | ||||
\(901\) | −5.26900 | − | 9.12617i | −0.175536 | − | 0.304037i | ||||
\(902\) | −5.81735 | − | 1.89017i | −0.193697 | − | 0.0629358i | ||||
\(903\) | 38.2271 | − | 0.448871i | 1.27212 | − | 0.0149375i | ||||
\(904\) | −128.506 | − | 93.3653i | −4.27406 | − | 3.10528i | ||||
\(905\) | 19.3355 | − | 25.3782i | 0.642734 | − | 0.843598i | ||||
\(906\) | 8.77272 | + | 83.4669i | 0.291454 | + | 2.77300i | ||||
\(907\) | −48.3420 | − | 27.9103i | −1.60517 | − | 0.926746i | −0.990430 | − | 0.138016i | \(-0.955927\pi\) |
−0.614741 | − | 0.788729i | \(-0.710739\pi\) | |||||||
\(908\) | −20.1060 | + | 45.1589i | −0.667243 | + | 1.49865i | ||||
\(909\) | −9.51105 | − | 29.2720i | −0.315462 | − | 0.970891i | ||||
\(910\) | 25.5812 | + | 59.2020i | 0.848007 | + | 1.96253i | ||||
\(911\) | −5.79002 | + | 17.8198i | −0.191832 | + | 0.590398i | 0.808167 | + | 0.588953i | \(0.200460\pi\) |
−0.999999 | + | 0.00144440i | \(0.999540\pi\) | |||||||
\(912\) | 82.1450 | + | 73.9637i | 2.72009 | + | 2.44918i | ||||
\(913\) | 0.208459 | − | 0.980724i | 0.00689900 | − | 0.0324572i | ||||
\(914\) | −40.7524 | − | 45.2601i | −1.34797 | − | 1.49707i | ||||
\(915\) | −37.2692 | − | 28.3953i | −1.23208 | − | 0.938718i | ||||
\(916\) | −33.7970 | − | 104.016i | −1.11668 | − | 3.43680i | ||||
\(917\) | −18.5865 | − | 20.1613i | −0.613781 | − | 0.665784i | ||||
\(918\) | 1.20002i | 0.0396065i | ||||||||
\(919\) | −3.81550 | − | 1.69877i | −0.125862 | − | 0.0560372i | 0.342840 | − | 0.939394i | \(-0.388611\pi\) |
−0.468701 | + | 0.883357i | \(0.655278\pi\) | |||||||
\(920\) | −13.6372 | + | 28.8450i | −0.449605 | + | 0.950992i | ||||
\(921\) | −68.1655 | + | 30.3492i | −2.24613 | + | 1.00004i | ||||
\(922\) | −53.6991 | − | 5.64401i | −1.76849 | − | 0.185875i | ||||
\(923\) | 17.8783 | + | 5.80902i | 0.588472 | + | 0.191206i | ||||
\(924\) | −10.5946 | + | 24.5682i | −0.348536 | + | 0.808234i | ||||
\(925\) | −39.8720 | − | 6.03521i | −1.31098 | − | 0.198436i | ||||
\(926\) | 43.5681 | + | 75.4621i | 1.43174 | + | 2.47984i | ||||
\(927\) | 5.57462 | − | 5.01941i | 0.183094 | − | 0.164859i | ||||
\(928\) | 23.6934 | + | 53.2163i | 0.777775 | + | 1.74691i | ||||
\(929\) | 6.03143 | − | 57.3852i | 0.197885 | − | 1.88275i | −0.221819 | − | 0.975088i | \(-0.571199\pi\) |
0.419704 | − | 0.907661i | \(-0.362134\pi\) | |||||||
\(930\) | −87.0175 | − | 52.9150i | −2.85342 | − | 1.73515i | ||||
\(931\) | −7.88691 | − | 22.4643i | −0.258483 | − | 0.736237i | ||||
\(932\) | − | 38.5795i | − | 1.26371i | ||||||
\(933\) | 16.8977 | − | 37.9528i | 0.553205 | − | 1.24252i | ||||
\(934\) | 113.105 | + | 24.0411i | 3.70090 | + | 0.786650i | ||||
\(935\) | −1.69462 | − | 0.801172i | −0.0554199 | − | 0.0262011i | ||||
\(936\) | −99.3624 | + | 21.1201i | −3.24776 | + | 0.690333i | ||||
\(937\) | −6.52337 | + | 2.11957i | −0.213109 | + | 0.0692434i | −0.413626 | − | 0.910447i | \(-0.635738\pi\) |
0.200517 | + | 0.979690i | \(0.435738\pi\) | |||||||
\(938\) | −6.90248 | + | 74.0237i | −0.225374 | + | 2.41696i | ||||
\(939\) | −7.19476 | + | 22.1432i | −0.234792 | + | 0.722616i | ||||
\(940\) | −12.7138 | + | 8.80228i | −0.414679 | + | 0.287099i | ||||
\(941\) | −1.46287 | − | 0.310943i | −0.0476883 | − | 0.0101365i | 0.184006 | − | 0.982925i | \(-0.441093\pi\) |
−0.231694 | + | 0.972789i | \(0.574427\pi\) | |||||||
\(942\) | 57.2922 | − | 6.02166i | 1.86668 | − | 0.196196i | ||||
\(943\) | −3.97236 | + | 2.29344i | −0.129358 | + | 0.0746848i | ||||
\(944\) | 84.0682 | − | 61.0791i | 2.73619 | − | 1.98796i | ||||
\(945\) | 2.25404 | + | 1.03345i | 0.0733239 | + | 0.0336181i | ||||
\(946\) | 10.3470 | + | 7.51756i | 0.336411 | + | 0.244417i | ||||
\(947\) | −20.8523 | − | 2.19166i | −0.677608 | − | 0.0712194i | −0.240528 | − | 0.970642i | \(-0.577321\pi\) |
−0.437080 | + | 0.899423i | \(0.643987\pi\) | |||||||
\(948\) | 108.238 | − | 97.4576i | 3.51539 | − | 3.16528i | ||||
\(949\) | 15.3566 | − | 26.5984i | 0.498496 | − | 0.863420i | ||||
\(950\) | 16.7565 | + | 42.7734i | 0.543652 | + | 1.38775i | ||||
\(951\) | 15.8620 | 0.514359 | ||||||||
\(952\) | −7.99586 | − | 23.6598i | −0.259147 | − | 0.766819i | ||||
\(953\) | 32.6062 | − | 44.8786i | 1.05622 | − | 1.45376i | 0.172928 | − | 0.984934i | \(-0.444677\pi\) |
0.883291 | − | 0.468826i | \(-0.155323\pi\) | |||||||
\(954\) | 7.93474 | − | 75.4940i | 0.256897 | − | 2.44421i | ||||
\(955\) | −14.1424 | + | 29.9135i | −0.457636 | + | 0.967978i | ||||
\(956\) | 7.42697 | + | 70.6629i | 0.240205 | + | 2.28540i | ||||
\(957\) | 5.18973 | − | 2.99629i | 0.167760 | − | 0.0968564i | ||||
\(958\) | −32.8711 | − | 45.2432i | −1.06202 | − | 1.46174i | ||||
\(959\) | 20.0168 | − | 28.2422i | 0.646376 | − | 0.911990i | ||||
\(960\) | 115.536 | − | 48.3211i | 3.72890 | − | 1.55956i | ||||
\(961\) | −17.4038 | + | 3.69929i | −0.561412 | + | 0.119332i | ||||
\(962\) | −18.2798 | + | 85.9996i | −0.589363 | + | 2.77274i | ||||
\(963\) | 0.958815 | − | 4.51087i | 0.0308974 | − | 0.145361i | ||||
\(964\) | 110.328 | − | 23.4510i | 3.55343 | − | 0.755306i | ||||
\(965\) | 21.2518 | + | 5.02513i | 0.684120 | + | 0.161765i | ||||
\(966\) | 11.5375 | + | 25.1157i | 0.371212 | + | 0.808086i | ||||
\(967\) | −11.1443 | − | 15.3389i | −0.358378 | − | 0.493265i | 0.591318 | − | 0.806439i | \(-0.298608\pi\) |
−0.949696 | + | 0.313173i | \(0.898608\pi\) | |||||||
\(968\) | 80.0171 | − | 46.1979i | 2.57185 | − | 1.48486i | ||||
\(969\) | 0.909550 | + | 8.65379i | 0.0292189 | + | 0.278000i | ||||
\(970\) | 26.7978 | + | 3.43459i | 0.860425 | + | 0.110278i | ||||
\(971\) | −0.0522804 | + | 0.497414i | −0.00167776 | + | 0.0159628i | −0.995329 | − | 0.0965437i | \(-0.969221\pi\) |
0.993651 | + | 0.112506i | \(0.0358879\pi\) | |||||||
\(972\) | −67.4109 | + | 92.7832i | −2.16221 | + | 2.97602i | ||||
\(973\) | −4.59443 | + | 5.22471i | −0.147291 | + | 0.167497i | ||||
\(974\) | 84.0288 | 2.69246 | ||||||||
\(975\) | −47.1306 | − | 12.2829i | −1.50939 | − | 0.393369i | ||||
\(976\) | 58.4395 | − | 101.220i | 1.87060 | − | 3.23998i | ||||
\(977\) | −28.4351 | + | 25.6031i | −0.909719 | + | 0.819115i | −0.984008 | − | 0.178122i | \(-0.942998\pi\) |
0.0742894 | + | 0.997237i | \(0.476331\pi\) | |||||||
\(978\) | −14.7800 | − | 1.55344i | −0.472612 | − | 0.0496735i | ||||
\(979\) | −3.27170 | − | 2.37703i | −0.104564 | − | 0.0759702i | ||||
\(980\) | −82.4629 | − | 8.60625i | −2.63418 | − | 0.274917i | ||||
\(981\) | 0.926023 | − | 0.672795i | 0.0295656 | − | 0.0214807i | ||||
\(982\) | −93.1607 | + | 53.7864i | −2.97288 | + | 1.71639i | ||||
\(983\) | −7.64767 | + | 0.803802i | −0.243923 | + | 0.0256373i | −0.225701 | − | 0.974197i | \(-0.572467\pi\) |
−0.0182219 | + | 0.999834i | \(0.505801\pi\) | |||||||
\(984\) | 60.2012 | + | 12.7962i | 1.91914 | + | 0.407926i | ||||
\(985\) | −17.4181 | + | 49.7281i | −0.554985 | + | 1.58447i | ||||
\(986\) | −2.77712 | + | 8.54711i | −0.0884416 | + | 0.272195i | ||||
\(987\) | −0.774102 | + | 8.30164i | −0.0246399 | + | 0.264244i | ||||
\(988\) | 69.1469 | − | 22.4672i | 2.19986 | − | 0.714777i | ||||
\(989\) | 9.38127 | − | 1.99405i | 0.298307 | − | 0.0634071i | ||||
\(990\) | −6.48350 | − | 11.8441i | −0.206059 | − | 0.376431i | ||||
\(991\) | −7.92009 | − | 1.68347i | −0.251590 | − | 0.0534771i | 0.0803902 | − | 0.996763i | \(-0.474383\pi\) |
−0.331980 | + | 0.943286i | \(0.607717\pi\) | |||||||
\(992\) | 52.7256 | − | 118.424i | 1.67404 | − | 3.75996i | ||||
\(993\) | 64.4005i | 2.04369i | ||||||||
\(994\) | −24.4774 | + | 22.5655i | −0.776375 | + | 0.715735i | ||||
\(995\) | −4.87229 | + | 20.6054i | −0.154462 | + | 0.653236i | ||||
\(996\) | −1.69422 | + | 16.1195i | −0.0536835 | + | 0.510765i | ||||
\(997\) | 17.9803 | + | 40.3845i | 0.569443 | + | 1.27899i | 0.937111 | + | 0.349032i | \(0.113490\pi\) |
−0.367668 | + | 0.929957i | \(0.619844\pi\) | |||||||
\(998\) | 42.1794 | − | 37.9785i | 1.33517 | − | 1.20219i | ||||
\(999\) | 1.69023 | + | 2.92756i | 0.0534764 | + | 0.0926238i |
(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 | 175.2.t.a.4.1 | ✓ | 144 | |
5.2 | odd | 4 | 875.2.q.b.851.36 | 288 | |||
5.3 | odd | 4 | 875.2.q.b.851.1 | 288 | |||
5.4 | even | 2 | 875.2.u.a.774.18 | 144 | |||
7.2 | even | 3 | inner | 175.2.t.a.79.1 | yes | 144 | |
25.6 | even | 5 | 875.2.u.a.599.18 | 144 | |||
25.8 | odd | 20 | 875.2.q.b.151.36 | 288 | |||
25.17 | odd | 20 | 875.2.q.b.151.1 | 288 | |||
25.19 | even | 10 | inner | 175.2.t.a.144.1 | yes | 144 | |
35.2 | odd | 12 | 875.2.q.b.226.1 | 288 | |||
35.9 | even | 6 | 875.2.u.a.149.18 | 144 | |||
35.23 | odd | 12 | 875.2.q.b.226.36 | 288 | |||
175.44 | even | 30 | inner | 175.2.t.a.44.1 | yes | 144 | |
175.58 | odd | 60 | 875.2.q.b.401.1 | 288 | |||
175.142 | odd | 60 | 875.2.q.b.401.36 | 288 | |||
175.156 | even | 15 | 875.2.u.a.849.18 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.t.a.4.1 | ✓ | 144 | 1.1 | even | 1 | trivial | |
175.2.t.a.44.1 | yes | 144 | 175.44 | even | 30 | inner | |
175.2.t.a.79.1 | yes | 144 | 7.2 | even | 3 | inner | |
175.2.t.a.144.1 | yes | 144 | 25.19 | even | 10 | inner | |
875.2.q.b.151.1 | 288 | 25.17 | odd | 20 | |||
875.2.q.b.151.36 | 288 | 25.8 | odd | 20 | |||
875.2.q.b.226.1 | 288 | 35.2 | odd | 12 | |||
875.2.q.b.226.36 | 288 | 35.23 | odd | 12 | |||
875.2.q.b.401.1 | 288 | 175.58 | odd | 60 | |||
875.2.q.b.401.36 | 288 | 175.142 | odd | 60 | |||
875.2.q.b.851.1 | 288 | 5.3 | odd | 4 | |||
875.2.q.b.851.36 | 288 | 5.2 | odd | 4 | |||
875.2.u.a.149.18 | 144 | 35.9 | even | 6 | |||
875.2.u.a.599.18 | 144 | 25.6 | even | 5 | |||
875.2.u.a.774.18 | 144 | 5.4 | even | 2 | |||
875.2.u.a.849.18 | 144 | 175.156 | even | 15 |