Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(67,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.v (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 67.8 | ||
Character | \(\chi\) | \(=\) | 378.67 |
Dual form | 378.2.v.b.79.8 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.766044 | − | 0.642788i | 0.541675 | − | 0.454519i | ||||
\(3\) | 0.654437 | − | 1.60366i | 0.377840 | − | 0.925871i | ||||
\(4\) | 0.173648 | − | 0.984808i | 0.0868241 | − | 0.492404i | ||||
\(5\) | 0.190866 | − | 1.08246i | 0.0853579 | − | 0.484089i | −0.911921 | − | 0.410366i | \(-0.865401\pi\) |
0.997279 | − | 0.0737228i | \(-0.0234880\pi\) | |||||||
\(6\) | −0.529482 | − | 1.64914i | −0.216160 | − | 0.673257i | ||||
\(7\) | 2.53672 | + | 0.751691i | 0.958791 | + | 0.284113i | ||||
\(8\) | −0.500000 | − | 0.866025i | −0.176777 | − | 0.306186i | ||||
\(9\) | −2.14342 | − | 2.09898i | −0.714474 | − | 0.699661i | ||||
\(10\) | −0.549577 | − | 0.951896i | −0.173792 | − | 0.301016i | ||||
\(11\) | 0.0294251 | + | 0.166878i | 0.00887199 | + | 0.0503155i | 0.988922 | − | 0.148434i | \(-0.0474232\pi\) |
−0.980050 | + | 0.198749i | \(0.936312\pi\) | |||||||
\(12\) | −1.46565 | − | 0.922967i | −0.423097 | − | 0.266438i | ||||
\(13\) | −0.287618 | + | 1.63116i | −0.0797709 | + | 0.452403i | 0.918592 | + | 0.395207i | \(0.129327\pi\) |
−0.998363 | + | 0.0571961i | \(0.981784\pi\) | |||||||
\(14\) | 2.42642 | − | 1.05474i | 0.648488 | − | 0.281892i | ||||
\(15\) | −1.61098 | − | 1.01448i | −0.415952 | − | 0.261938i | ||||
\(16\) | −0.939693 | − | 0.342020i | −0.234923 | − | 0.0855050i | ||||
\(17\) | 0.236282 | + | 0.409253i | 0.0573068 | + | 0.0992583i | 0.893256 | − | 0.449549i | \(-0.148415\pi\) |
−0.835949 | + | 0.548807i | \(0.815082\pi\) | |||||||
\(18\) | −2.99116 | − | 0.230149i | −0.705023 | − | 0.0542467i | ||||
\(19\) | −1.72314 | + | 2.98457i | −0.395316 | + | 0.684708i | −0.993142 | − | 0.116918i | \(-0.962698\pi\) |
0.597825 | + | 0.801627i | \(0.296032\pi\) | |||||||
\(20\) | −1.03287 | − | 0.375933i | −0.230956 | − | 0.0840612i | ||||
\(21\) | 2.86558 | − | 3.57609i | 0.625321 | − | 0.780368i | ||||
\(22\) | 0.129808 | + | 0.108922i | 0.0276751 | + | 0.0232222i | ||||
\(23\) | −2.39343 | − | 2.00833i | −0.499065 | − | 0.418765i | 0.358197 | − | 0.933646i | \(-0.383392\pi\) |
−0.857262 | + | 0.514881i | \(0.827836\pi\) | |||||||
\(24\) | −1.71603 | + | 0.235068i | −0.350282 | + | 0.0479832i | ||||
\(25\) | 3.56318 | + | 1.29689i | 0.712637 | + | 0.259378i | ||||
\(26\) | 0.828163 | + | 1.43442i | 0.162416 | + | 0.281313i | ||||
\(27\) | −4.76878 | + | 2.06366i | −0.917753 | + | 0.397151i | ||||
\(28\) | 1.18077 | − | 2.36765i | 0.223144 | − | 0.447445i | ||||
\(29\) | −0.0779750 | − | 0.442218i | −0.0144796 | − | 0.0821179i | 0.976712 | − | 0.214556i | \(-0.0688305\pi\) |
−0.991191 | + | 0.132438i | \(0.957719\pi\) | |||||||
\(30\) | −1.88618 | + | 0.258377i | −0.344367 | + | 0.0471729i | ||||
\(31\) | −0.131483 | + | 0.745675i | −0.0236150 | + | 0.133927i | −0.994336 | − | 0.106283i | \(-0.966105\pi\) |
0.970721 | + | 0.240210i | \(0.0772163\pi\) | |||||||
\(32\) | −0.939693 | + | 0.342020i | −0.166116 | + | 0.0604612i | ||||
\(33\) | 0.286871 | + | 0.0620234i | 0.0499379 | + | 0.0107969i | ||||
\(34\) | 0.444065 | + | 0.161626i | 0.0761565 | + | 0.0277187i | ||||
\(35\) | 1.29785 | − | 2.60242i | 0.219376 | − | 0.439889i | ||||
\(36\) | −2.43930 | + | 1.74638i | −0.406550 | + | 0.291063i | ||||
\(37\) | −3.02705 | −0.497645 | −0.248822 | − | 0.968549i | \(-0.580044\pi\) | ||||
−0.248822 | + | 0.968549i | \(0.580044\pi\) | |||||||
\(38\) | 0.598442 | + | 3.39393i | 0.0970801 | + | 0.550568i | ||||
\(39\) | 2.42760 | + | 1.52873i | 0.388726 | + | 0.244793i | ||||
\(40\) | −1.03287 | + | 0.375933i | −0.163311 | + | 0.0594402i | ||||
\(41\) | −0.223307 | + | 1.26644i | −0.0348747 | + | 0.197784i | −0.997267 | − | 0.0738784i | \(-0.976462\pi\) |
0.962393 | + | 0.271662i | \(0.0875734\pi\) | |||||||
\(42\) | −0.103507 | − | 4.58141i | −0.0159715 | − | 0.706926i | ||||
\(43\) | 4.12401 | − | 3.46045i | 0.628905 | − | 0.527714i | −0.271683 | − | 0.962387i | \(-0.587580\pi\) |
0.900589 | + | 0.434672i | \(0.143136\pi\) | |||||||
\(44\) | 0.169452 | 0.0255459 | ||||||||
\(45\) | −2.68116 | + | 1.91954i | −0.399684 | + | 0.286148i | ||||
\(46\) | −3.12440 | −0.460668 | ||||||||
\(47\) | 0.836394 | + | 4.74343i | 0.122001 | + | 0.691900i | 0.983044 | + | 0.183369i | \(0.0587002\pi\) |
−0.861044 | + | 0.508531i | \(0.830189\pi\) | |||||||
\(48\) | −1.16345 | + | 1.28311i | −0.167930 | + | 0.185201i | ||||
\(49\) | 5.86992 | + | 3.81366i | 0.838560 | + | 0.544809i | ||||
\(50\) | 3.56318 | − | 1.29689i | 0.503910 | − | 0.183408i | ||||
\(51\) | 0.810932 | − | 0.111085i | 0.113553 | − | 0.0155550i | ||||
\(52\) | 1.55644 | + | 0.566497i | 0.215839 | + | 0.0785590i | ||||
\(53\) | 1.65864 | − | 2.87284i | 0.227831 | − | 0.394616i | −0.729334 | − | 0.684158i | \(-0.760170\pi\) |
0.957165 | + | 0.289543i | \(0.0935032\pi\) | |||||||
\(54\) | −2.32661 | + | 4.64617i | −0.316611 | + | 0.632264i | ||||
\(55\) | 0.186254 | 0.0251145 | ||||||||
\(56\) | −0.617377 | − | 2.57271i | −0.0825005 | − | 0.343793i | ||||
\(57\) | 3.65854 | + | 4.71655i | 0.484585 | + | 0.624722i | ||||
\(58\) | −0.343985 | − | 0.288637i | −0.0451674 | − | 0.0379000i | ||||
\(59\) | 3.62012 | − | 1.31762i | 0.471299 | − | 0.171539i | −0.0954415 | − | 0.995435i | \(-0.530426\pi\) |
0.566741 | + | 0.823896i | \(0.308204\pi\) | |||||||
\(60\) | −1.27881 | + | 1.41034i | −0.165094 | + | 0.182074i | ||||
\(61\) | 2.36234 | + | 13.3975i | 0.302467 | + | 1.71537i | 0.635196 | + | 0.772351i | \(0.280919\pi\) |
−0.332730 | + | 0.943022i | \(0.607970\pi\) | |||||||
\(62\) | 0.378589 | + | 0.655736i | 0.0480809 | + | 0.0832785i | ||||
\(63\) | −3.85948 | − | 6.93573i | −0.486249 | − | 0.873820i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 1.71076 | + | 0.622667i | 0.212194 | + | 0.0772324i | ||||
\(66\) | 0.259624 | − | 0.136885i | 0.0319575 | − | 0.0168493i | ||||
\(67\) | 10.2926 | + | 8.63654i | 1.25744 | + | 1.05512i | 0.995949 | + | 0.0899162i | \(0.0286599\pi\) |
0.261495 | + | 0.965205i | \(0.415785\pi\) | |||||||
\(68\) | 0.444065 | − | 0.161626i | 0.0538508 | − | 0.0196001i | ||||
\(69\) | −4.78702 | + | 2.52392i | −0.576289 | + | 0.303844i | ||||
\(70\) | −0.678593 | − | 2.82781i | −0.0811074 | − | 0.337988i | ||||
\(71\) | 6.29081 | − | 10.8960i | 0.746581 | − | 1.29312i | −0.202871 | − | 0.979205i | \(-0.565027\pi\) |
0.949452 | − | 0.313911i | \(-0.101639\pi\) | |||||||
\(72\) | −0.746062 | + | 2.90575i | −0.0879243 | + | 0.342446i | ||||
\(73\) | −13.8504 | −1.62106 | −0.810532 | − | 0.585694i | \(-0.800822\pi\) | ||||
−0.810532 | + | 0.585694i | \(0.800822\pi\) | |||||||
\(74\) | −2.31886 | + | 1.94575i | −0.269562 | + | 0.226189i | ||||
\(75\) | 4.41165 | − | 4.86538i | 0.509413 | − | 0.561806i | ||||
\(76\) | 2.64001 | + | 2.21523i | 0.302830 | + | 0.254105i | ||||
\(77\) | −0.0507974 | + | 0.445441i | −0.00578890 | + | 0.0507627i | ||||
\(78\) | 2.84230 | − | 0.389350i | 0.321827 | − | 0.0440852i | ||||
\(79\) | 1.86542 | − | 1.56527i | 0.209876 | − | 0.176107i | −0.531790 | − | 0.846876i | \(-0.678480\pi\) |
0.741666 | + | 0.670769i | \(0.234036\pi\) | |||||||
\(80\) | −0.549577 | + | 0.951896i | −0.0614446 | + | 0.106425i | ||||
\(81\) | 0.188528 | + | 8.99803i | 0.0209476 | + | 0.999781i | ||||
\(82\) | 0.642986 | + | 1.11368i | 0.0710060 | + | 0.122986i | ||||
\(83\) | −2.32492 | − | 13.1853i | −0.255193 | − | 1.44727i | −0.795576 | − | 0.605853i | \(-0.792832\pi\) |
0.540383 | − | 0.841419i | \(-0.318279\pi\) | |||||||
\(84\) | −3.02416 | − | 3.44303i | −0.329963 | − | 0.375665i | ||||
\(85\) | 0.488096 | − | 0.177652i | 0.0529414 | − | 0.0192691i | ||||
\(86\) | 0.934837 | − | 5.30172i | 0.100806 | − | 0.571700i | ||||
\(87\) | −0.760196 | − | 0.164359i | −0.0815015 | − | 0.0176211i | ||||
\(88\) | 0.129808 | − | 0.108922i | 0.0138376 | − | 0.0116111i | ||||
\(89\) | −0.437363 | + | 0.757534i | −0.0463603 | + | 0.0802985i | −0.888274 | − | 0.459313i | \(-0.848096\pi\) |
0.841914 | + | 0.539612i | \(0.181429\pi\) | |||||||
\(90\) | −0.820037 | + | 3.19387i | −0.0864395 | + | 0.336663i | ||||
\(91\) | −1.95574 | + | 3.92161i | −0.205017 | + | 0.411096i | ||||
\(92\) | −2.39343 | + | 2.00833i | −0.249532 | + | 0.209383i | ||||
\(93\) | 1.10976 | + | 0.698850i | 0.115077 | + | 0.0724674i | ||||
\(94\) | 3.68973 | + | 3.09605i | 0.380567 | + | 0.319333i | ||||
\(95\) | 2.90178 | + | 2.43488i | 0.297716 | + | 0.249814i | ||||
\(96\) | −0.0664874 | + | 1.73077i | −0.00678584 | + | 0.176646i | ||||
\(97\) | 3.50823 | − | 2.94375i | 0.356207 | − | 0.298893i | −0.447070 | − | 0.894499i | \(-0.647533\pi\) |
0.803277 | + | 0.595606i | \(0.203088\pi\) | |||||||
\(98\) | 6.94800 | − | 0.851675i | 0.701854 | − | 0.0860322i | ||||
\(99\) | 0.287203 | − | 0.419452i | 0.0288650 | − | 0.0421566i | ||||
\(100\) | 1.89593 | − | 3.28385i | 0.189593 | − | 0.328385i | ||||
\(101\) | −13.5736 | + | 11.3896i | −1.35063 | + | 1.13331i | −0.371871 | + | 0.928284i | \(0.621284\pi\) |
−0.978756 | + | 0.205027i | \(0.934272\pi\) | |||||||
\(102\) | 0.549806 | − | 0.606353i | 0.0544389 | − | 0.0600379i | ||||
\(103\) | −0.918807 | + | 5.21081i | −0.0905328 | + | 0.513437i | 0.905492 | + | 0.424363i | \(0.139502\pi\) |
−0.996025 | + | 0.0890740i | \(0.971609\pi\) | |||||||
\(104\) | 1.55644 | − | 0.566497i | 0.152621 | − | 0.0555496i | ||||
\(105\) | −3.32402 | − | 3.78442i | −0.324391 | − | 0.369321i | ||||
\(106\) | −0.576039 | − | 3.26688i | −0.0559498 | − | 0.317307i | ||||
\(107\) | −3.85697 | − | 6.68047i | −0.372867 | − | 0.645825i | 0.617138 | − | 0.786855i | \(-0.288292\pi\) |
−0.990005 | + | 0.141030i | \(0.954959\pi\) | |||||||
\(108\) | 1.20422 | + | 5.05469i | 0.115876 | + | 0.486387i | ||||
\(109\) | −7.36169 | + | 12.7508i | −0.705122 | + | 1.22131i | 0.261525 | + | 0.965197i | \(0.415774\pi\) |
−0.966647 | + | 0.256111i | \(0.917559\pi\) | |||||||
\(110\) | 0.142679 | − | 0.119722i | 0.0136039 | − | 0.0114150i | ||||
\(111\) | −1.98102 | + | 4.85435i | −0.188030 | + | 0.460755i | ||||
\(112\) | −2.12665 | − | 1.57397i | −0.200949 | − | 0.148726i | ||||
\(113\) | 9.21111 | + | 7.72904i | 0.866508 | + | 0.727087i | 0.963360 | − | 0.268212i | \(-0.0864327\pi\) |
−0.0968515 | + | 0.995299i | \(0.530877\pi\) | |||||||
\(114\) | 5.83434 | + | 1.26142i | 0.546436 | + | 0.118143i | ||||
\(115\) | −2.63075 | + | 2.20746i | −0.245319 | + | 0.205847i | ||||
\(116\) | −0.449040 | −0.0416923 | ||||||||
\(117\) | 4.04027 | − | 2.89257i | 0.373523 | − | 0.267418i | ||||
\(118\) | 1.92623 | − | 3.33632i | 0.177323 | − | 0.307133i | ||||
\(119\) | 0.291750 | + | 1.21577i | 0.0267447 | + | 0.111450i | ||||
\(120\) | −0.0730799 | + | 1.90239i | −0.00667125 | + | 0.173663i | ||||
\(121\) | 10.3096 | − | 3.75240i | 0.937240 | − | 0.341127i | ||||
\(122\) | 10.4214 | + | 8.74459i | 0.943509 | + | 0.791698i | ||||
\(123\) | 1.88479 | + | 1.18691i | 0.169945 | + | 0.107020i | ||||
\(124\) | 0.711515 | + | 0.258970i | 0.0638959 | + | 0.0232562i | ||||
\(125\) | 4.83181 | − | 8.36893i | 0.432170 | − | 0.748540i | ||||
\(126\) | −7.41474 | − | 2.83225i | −0.660557 | − | 0.252317i | ||||
\(127\) | −3.22819 | − | 5.59139i | −0.286455 | − | 0.496155i | 0.686506 | − | 0.727125i | \(-0.259144\pi\) |
−0.972961 | + | 0.230969i | \(0.925810\pi\) | |||||||
\(128\) | 0.173648 | + | 0.984808i | 0.0153485 | + | 0.0870455i | ||||
\(129\) | −2.85047 | − | 8.87814i | −0.250970 | − | 0.781677i | ||||
\(130\) | 1.71076 | − | 0.622667i | 0.150044 | − | 0.0546115i | ||||
\(131\) | −5.95546 | − | 4.99722i | −0.520331 | − | 0.436609i | 0.344416 | − | 0.938817i | \(-0.388077\pi\) |
−0.864747 | + | 0.502208i | \(0.832521\pi\) | |||||||
\(132\) | 0.110896 | − | 0.271743i | 0.00965224 | − | 0.0236522i | ||||
\(133\) | −6.61462 | + | 6.27576i | −0.573560 | + | 0.544178i | ||||
\(134\) | 13.4361 | 1.16070 | ||||||||
\(135\) | 1.32362 | + | 5.55588i | 0.113919 | + | 0.478174i | ||||
\(136\) | 0.236282 | − | 0.409253i | 0.0202610 | − | 0.0350931i | ||||
\(137\) | −8.57091 | − | 3.11955i | −0.732262 | − | 0.266522i | −0.0511399 | − | 0.998691i | \(-0.516285\pi\) |
−0.681122 | + | 0.732170i | \(0.738508\pi\) | |||||||
\(138\) | −2.04473 | + | 5.01047i | −0.174059 | + | 0.426519i | ||||
\(139\) | −13.1927 | + | 4.80175i | −1.11899 | + | 0.407279i | −0.834283 | − | 0.551336i | \(-0.814118\pi\) |
−0.284706 | + | 0.958615i | \(0.591896\pi\) | |||||||
\(140\) | −2.33751 | − | 1.73003i | −0.197556 | − | 0.146215i | ||||
\(141\) | 8.15419 | + | 1.76299i | 0.686707 | + | 0.148470i | ||||
\(142\) | −2.18477 | − | 12.3905i | −0.183342 | − | 1.03979i | ||||
\(143\) | −0.280668 | −0.0234706 | ||||||||
\(144\) | 1.29626 | + | 2.70549i | 0.108022 | + | 0.225458i | ||||
\(145\) | −0.493564 | −0.0409883 | ||||||||
\(146\) | −10.6100 | + | 8.90285i | −0.878090 | + | 0.736805i | ||||
\(147\) | 9.95730 | − | 6.91753i | 0.821264 | − | 0.570548i | ||||
\(148\) | −0.525642 | + | 2.98107i | −0.0432075 | + | 0.245042i | ||||
\(149\) | −17.8441 | + | 6.49473i | −1.46185 | + | 0.532069i | −0.945874 | − | 0.324535i | \(-0.894792\pi\) |
−0.515974 | + | 0.856604i | \(0.672570\pi\) | |||||||
\(150\) | 0.252111 | − | 6.56285i | 0.0205848 | − | 0.535855i | ||||
\(151\) | −1.74070 | − | 9.87202i | −0.141656 | − | 0.803373i | −0.969991 | − | 0.243140i | \(-0.921823\pi\) |
0.828335 | − | 0.560233i | \(-0.189289\pi\) | |||||||
\(152\) | 3.44629 | 0.279531 | ||||||||
\(153\) | 0.352562 | − | 1.37315i | 0.0285030 | − | 0.111013i | ||||
\(154\) | 0.247411 | + | 0.373880i | 0.0199369 | + | 0.0301281i | ||||
\(155\) | 0.782065 | + | 0.284648i | 0.0628169 | + | 0.0228635i | ||||
\(156\) | 1.92706 | − | 2.12525i | 0.154288 | − | 0.170156i | ||||
\(157\) | −12.0857 | + | 4.39883i | −0.964543 | + | 0.351065i | −0.775812 | − | 0.630964i | \(-0.782660\pi\) |
−0.188731 | + | 0.982029i | \(0.560437\pi\) | |||||||
\(158\) | 0.422856 | − | 2.39814i | 0.0336406 | − | 0.190785i | ||||
\(159\) | −3.52158 | − | 4.53998i | −0.279279 | − | 0.360044i | ||||
\(160\) | 0.190866 | + | 1.08246i | 0.0150893 | + | 0.0855756i | ||||
\(161\) | −4.56183 | − | 6.89369i | −0.359522 | − | 0.543299i | ||||
\(162\) | 5.92824 | + | 6.77170i | 0.465767 | + | 0.532035i | ||||
\(163\) | −8.42123 | − | 14.5860i | −0.659601 | − | 1.14246i | −0.980719 | − | 0.195424i | \(-0.937392\pi\) |
0.321117 | − | 0.947039i | \(-0.395942\pi\) | |||||||
\(164\) | 1.20842 | + | 0.439828i | 0.0943617 | + | 0.0343448i | ||||
\(165\) | 0.121892 | − | 0.298687i | 0.00948925 | − | 0.0232528i | ||||
\(166\) | −10.2563 | − | 8.60608i | −0.796045 | − | 0.667961i | ||||
\(167\) | 15.0551 | + | 12.6327i | 1.16500 | + | 0.977551i | 0.999962 | − | 0.00873601i | \(-0.00278079\pi\) |
0.165038 | + | 0.986287i | \(0.447225\pi\) | |||||||
\(168\) | −4.52978 | − | 0.693618i | −0.349480 | − | 0.0535138i | ||||
\(169\) | 9.63804 | + | 3.50796i | 0.741387 | + | 0.269843i | ||||
\(170\) | 0.259710 | − | 0.449832i | 0.0199189 | − | 0.0345005i | ||||
\(171\) | 9.95800 | − | 2.78035i | 0.761507 | − | 0.212619i | ||||
\(172\) | −2.69176 | − | 4.66226i | −0.205244 | − | 0.355494i | ||||
\(173\) | −14.8171 | − | 5.39298i | −1.12652 | − | 0.410021i | −0.289494 | − | 0.957180i | \(-0.593487\pi\) |
−0.837029 | + | 0.547159i | \(0.815709\pi\) | |||||||
\(174\) | −0.687992 | + | 0.362738i | −0.0521565 | + | 0.0274991i | ||||
\(175\) | 8.06394 | + | 5.96827i | 0.609577 | + | 0.451159i | ||||
\(176\) | 0.0294251 | − | 0.166878i | 0.00221800 | − | 0.0125789i | ||||
\(177\) | 0.256139 | − | 6.66772i | 0.0192526 | − | 0.501177i | ||||
\(178\) | 0.151894 | + | 0.861436i | 0.0113850 | + | 0.0645674i | ||||
\(179\) | −6.14587 | − | 10.6450i | −0.459364 | − | 0.795641i | 0.539564 | − | 0.841945i | \(-0.318589\pi\) |
−0.998927 | + | 0.0463034i | \(0.985256\pi\) | |||||||
\(180\) | 1.42479 | + | 2.97376i | 0.106198 | + | 0.221651i | ||||
\(181\) | −9.45246 | − | 16.3721i | −0.702595 | − | 1.21693i | −0.967552 | − | 0.252671i | \(-0.918691\pi\) |
0.264957 | − | 0.964260i | \(-0.414642\pi\) | |||||||
\(182\) | 1.02258 | + | 4.26125i | 0.0757985 | + | 0.315865i | ||||
\(183\) | 23.0310 | + | 4.97944i | 1.70250 | + | 0.368091i | ||||
\(184\) | −0.542547 | + | 3.07694i | −0.0399971 | + | 0.226835i | ||||
\(185\) | −0.577762 | + | 3.27665i | −0.0424779 | + | 0.240904i | ||||
\(186\) | 1.29934 | − | 0.177989i | 0.0952720 | − | 0.0130508i | ||||
\(187\) | −0.0613425 | + | 0.0514725i | −0.00448581 | + | 0.00376404i | ||||
\(188\) | 4.81660 | 0.351287 | ||||||||
\(189\) | −13.6483 | + | 1.65028i | −0.992769 | + | 0.120040i | ||||
\(190\) | 3.78800 | 0.274811 | ||||||||
\(191\) | 3.94525 | − | 3.31046i | 0.285468 | − | 0.239536i | −0.488797 | − | 0.872398i | \(-0.662564\pi\) |
0.774265 | + | 0.632861i | \(0.218120\pi\) | |||||||
\(192\) | 1.06159 | + | 1.36859i | 0.0766135 | + | 0.0987693i | ||||
\(193\) | 2.02073 | − | 11.4601i | 0.145455 | − | 0.824917i | −0.821546 | − | 0.570143i | \(-0.806888\pi\) |
0.967001 | − | 0.254774i | \(-0.0820010\pi\) | |||||||
\(194\) | 0.795251 | − | 4.51009i | 0.0570957 | − | 0.323806i | ||||
\(195\) | 2.11813 | − | 2.33598i | 0.151683 | − | 0.167283i | ||||
\(196\) | 4.77503 | − | 5.11851i | 0.341073 | − | 0.365608i | ||||
\(197\) | 6.23368 | + | 10.7971i | 0.444132 | + | 0.769258i | 0.997991 | − | 0.0633516i | \(-0.0201790\pi\) |
−0.553860 | + | 0.832610i | \(0.686846\pi\) | |||||||
\(198\) | −0.0496082 | − | 0.505930i | −0.00352550 | − | 0.0359549i | ||||
\(199\) | −3.27589 | − | 5.67401i | −0.232222 | − | 0.402220i | 0.726240 | − | 0.687441i | \(-0.241266\pi\) |
−0.958462 | + | 0.285221i | \(0.907933\pi\) | |||||||
\(200\) | −0.658450 | − | 3.73425i | −0.0465594 | − | 0.264052i | ||||
\(201\) | 20.5859 | − | 10.8538i | 1.45202 | − | 0.765565i | ||||
\(202\) | −3.07689 | + | 17.4499i | −0.216490 | + | 1.22777i | ||||
\(203\) | 0.134611 | − | 1.18040i | 0.00944782 | − | 0.0828477i | ||||
\(204\) | 0.0314196 | − | 0.817902i | 0.00219981 | − | 0.0572646i | ||||
\(205\) | 1.32824 | + | 0.483439i | 0.0927682 | + | 0.0337649i | ||||
\(206\) | 2.64560 | + | 4.58231i | 0.184328 | + | 0.319265i | ||||
\(207\) | 0.914689 | + | 9.32847i | 0.0635753 | + | 0.648374i | ||||
\(208\) | 0.828163 | − | 1.43442i | 0.0574228 | − | 0.0994591i | ||||
\(209\) | −0.548763 | − | 0.199733i | −0.0379587 | − | 0.0138158i | ||||
\(210\) | −4.97893 | − | 0.762393i | −0.343579 | − | 0.0526101i | ||||
\(211\) | −17.6296 | − | 14.7930i | −1.21367 | − | 1.01839i | −0.999131 | − | 0.0416751i | \(-0.986731\pi\) |
−0.214539 | − | 0.976715i | \(-0.568825\pi\) | |||||||
\(212\) | −2.54118 | − | 2.13230i | −0.174529 | − | 0.146447i | ||||
\(213\) | −13.3565 | − | 17.2190i | −0.915171 | − | 1.17983i | ||||
\(214\) | −7.24873 | − | 2.63832i | −0.495513 | − | 0.180352i | ||||
\(215\) | −2.95865 | − | 5.12454i | −0.201779 | − | 0.349491i | ||||
\(216\) | 4.17157 | + | 3.09806i | 0.283840 | + | 0.210796i | ||||
\(217\) | −0.894052 | + | 1.79274i | −0.0606922 | + | 0.121699i | ||||
\(218\) | 2.55669 | + | 14.4997i | 0.173161 | + | 0.982044i | ||||
\(219\) | −9.06420 | + | 22.2112i | −0.612502 | + | 1.50090i | ||||
\(220\) | 0.0323427 | − | 0.183424i | 0.00218054 | − | 0.0123665i | ||||
\(221\) | −0.735516 | + | 0.267706i | −0.0494762 | + | 0.0180079i | ||||
\(222\) | 1.60277 | + | 4.99202i | 0.107571 | + | 0.335043i | ||||
\(223\) | 7.96272 | + | 2.89819i | 0.533223 | + | 0.194077i | 0.594577 | − | 0.804039i | \(-0.297320\pi\) |
−0.0613537 | + | 0.998116i | \(0.519542\pi\) | |||||||
\(224\) | −2.64083 | + | 0.161251i | −0.176448 | + | 0.0107741i | ||||
\(225\) | −4.91525 | − | 10.2589i | −0.327683 | − | 0.683924i | ||||
\(226\) | 12.0243 | 0.799841 | ||||||||
\(227\) | 2.65635 | + | 15.0649i | 0.176308 | + | 0.999892i | 0.936623 | + | 0.350338i | \(0.113933\pi\) |
−0.760315 | + | 0.649554i | \(0.774956\pi\) | |||||||
\(228\) | 5.28019 | − | 2.78394i | 0.349689 | − | 0.184371i | ||||
\(229\) | 19.0854 | − | 6.94652i | 1.26120 | − | 0.459039i | 0.377028 | − | 0.926202i | \(-0.376946\pi\) |
0.884171 | + | 0.467163i | \(0.154724\pi\) | |||||||
\(230\) | −0.596343 | + | 3.38203i | −0.0393217 | + | 0.223004i | ||||
\(231\) | 0.681090 | + | 0.372975i | 0.0448125 | + | 0.0245399i | ||||
\(232\) | −0.343985 | + | 0.288637i | −0.0225837 | + | 0.0189500i | ||||
\(233\) | −26.2269 | −1.71818 | −0.859090 | − | 0.511825i | \(-0.828970\pi\) | ||||
−0.859090 | + | 0.511825i | \(0.828970\pi\) | |||||||
\(234\) | 1.23572 | − | 4.81287i | 0.0807817 | − | 0.314627i | ||||
\(235\) | 5.29419 | 0.345355 | ||||||||
\(236\) | −0.668971 | − | 3.79392i | −0.0435463 | − | 0.246963i | ||||
\(237\) | −1.28936 | − | 4.01586i | −0.0837528 | − | 0.260858i | ||||
\(238\) | 1.00498 | + | 0.743801i | 0.0651429 | + | 0.0482135i | ||||
\(239\) | −0.506479 | + | 0.184343i | −0.0327614 | + | 0.0119242i | −0.358349 | − | 0.933588i | \(-0.616660\pi\) |
0.325587 | + | 0.945512i | \(0.394438\pi\) | |||||||
\(240\) | 1.16685 | + | 1.50429i | 0.0753198 | + | 0.0971014i | ||||
\(241\) | −0.269342 | − | 0.0980323i | −0.0173498 | − | 0.00631482i | 0.333331 | − | 0.942810i | \(-0.391827\pi\) |
−0.350680 | + | 0.936495i | \(0.614050\pi\) | |||||||
\(242\) | 5.48564 | − | 9.50141i | 0.352630 | − | 0.610774i | ||||
\(243\) | 14.5531 | + | 5.58631i | 0.933583 | + | 0.358362i | ||||
\(244\) | 13.6042 | 0.870918 | ||||||||
\(245\) | 5.24849 | − | 5.62603i | 0.335314 | − | 0.359434i | ||||
\(246\) | 2.20676 | − | 0.302292i | 0.140698 | − | 0.0192734i | ||||
\(247\) | −4.37272 | − | 3.66915i | −0.278229 | − | 0.233462i | ||||
\(248\) | 0.711515 | − | 0.258970i | 0.0451812 | − | 0.0164446i | ||||
\(249\) | −22.6662 | − | 4.90057i | −1.43641 | − | 0.310561i | ||||
\(250\) | −1.67807 | − | 9.51680i | −0.106130 | − | 0.601895i | ||||
\(251\) | −12.1666 | − | 21.0732i | −0.767952 | − | 1.33013i | −0.938672 | − | 0.344812i | \(-0.887943\pi\) |
0.170720 | − | 0.985320i | \(-0.445391\pi\) | |||||||
\(252\) | −7.50056 | + | 2.59647i | −0.472491 | + | 0.163562i | ||||
\(253\) | 0.264718 | − | 0.458506i | 0.0166427 | − | 0.0288260i | ||||
\(254\) | −6.06701 | − | 2.20821i | −0.380678 | − | 0.138556i | ||||
\(255\) | 0.0345349 | − | 0.899000i | 0.00216266 | − | 0.0562976i | ||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | −9.80712 | + | 3.56950i | −0.611752 | + | 0.222659i | −0.629269 | − | 0.777187i | \(-0.716646\pi\) |
0.0175179 | + | 0.999847i | \(0.494424\pi\) | |||||||
\(258\) | −7.89035 | − | 4.96880i | −0.491232 | − | 0.309344i | ||||
\(259\) | −7.67880 | − | 2.27541i | −0.477137 | − | 0.141387i | ||||
\(260\) | 0.910279 | − | 1.57665i | 0.0564531 | − | 0.0977796i | ||||
\(261\) | −0.761076 | + | 1.11153i | −0.0471094 | + | 0.0688019i | ||||
\(262\) | −7.77430 | −0.480298 | ||||||||
\(263\) | 12.7541 | − | 10.7020i | 0.786453 | − | 0.659912i | −0.158412 | − | 0.987373i | \(-0.550637\pi\) |
0.944865 | + | 0.327461i | \(0.106193\pi\) | |||||||
\(264\) | −0.0897218 | − | 0.279450i | −0.00552200 | − | 0.0171989i | ||||
\(265\) | −2.79315 | − | 2.34373i | −0.171582 | − | 0.143974i | ||||
\(266\) | −1.03311 | + | 9.05931i | −0.0633440 | + | 0.555462i | ||||
\(267\) | 0.928598 | + | 1.19714i | 0.0568293 | + | 0.0732636i | ||||
\(268\) | 10.2926 | − | 8.63654i | 0.628722 | − | 0.527561i | ||||
\(269\) | −13.2443 | + | 22.9398i | −0.807520 | + | 1.39867i | 0.107056 | + | 0.994253i | \(0.465858\pi\) |
−0.914576 | + | 0.404413i | \(0.867476\pi\) | |||||||
\(270\) | 4.58520 | + | 3.40525i | 0.279047 | + | 0.207237i | ||||
\(271\) | −5.73988 | − | 9.94176i | −0.348673 | − | 0.603919i | 0.637341 | − | 0.770582i | \(-0.280034\pi\) |
−0.986014 | + | 0.166663i | \(0.946701\pi\) | |||||||
\(272\) | −0.0820599 | − | 0.465385i | −0.00497561 | − | 0.0282181i | ||||
\(273\) | 5.00900 | + | 5.70278i | 0.303158 | + | 0.345148i | ||||
\(274\) | −8.57091 | + | 3.11955i | −0.517787 | + | 0.188459i | ||||
\(275\) | −0.111576 | + | 0.632777i | −0.00672827 | + | 0.0381579i | ||||
\(276\) | 1.65431 | + | 5.15256i | 0.0995780 | + | 0.310148i | ||||
\(277\) | 12.8164 | − | 10.7543i | 0.770065 | − | 0.646162i | −0.170660 | − | 0.985330i | \(-0.554590\pi\) |
0.940726 | + | 0.339168i | \(0.110146\pi\) | |||||||
\(278\) | −7.01969 | + | 12.1585i | −0.421013 | + | 0.729216i | ||||
\(279\) | 1.84698 | − | 1.32232i | 0.110576 | − | 0.0791651i | ||||
\(280\) | −2.90268 | + | 0.177240i | −0.173468 | + | 0.0105921i | ||||
\(281\) | −21.5705 | + | 18.0998i | −1.28679 | + | 1.07974i | −0.294516 | + | 0.955646i | \(0.595159\pi\) |
−0.992270 | + | 0.124096i | \(0.960397\pi\) | |||||||
\(282\) | 7.37970 | − | 3.89089i | 0.439455 | − | 0.231699i | ||||
\(283\) | 5.87007 | + | 4.92558i | 0.348940 | + | 0.292795i | 0.800364 | − | 0.599514i | \(-0.204640\pi\) |
−0.451424 | + | 0.892309i | \(0.649084\pi\) | |||||||
\(284\) | −9.63807 | − | 8.08730i | −0.571914 | − | 0.479893i | ||||
\(285\) | 5.80374 | − | 3.05998i | 0.343784 | − | 0.181257i | ||||
\(286\) | −0.215004 | + | 0.180410i | −0.0127135 | + | 0.0106679i | ||||
\(287\) | −1.51844 | + | 3.04474i | −0.0896304 | + | 0.179725i | ||||
\(288\) | 2.73205 | + | 1.23931i | 0.160988 | + | 0.0730268i | ||||
\(289\) | 8.38834 | − | 14.5290i | 0.493432 | − | 0.854649i | ||||
\(290\) | −0.378092 | + | 0.317257i | −0.0222023 | + | 0.0186300i | ||||
\(291\) | −2.42485 | − | 7.55249i | −0.142147 | − | 0.442735i | ||||
\(292\) | −2.40509 | + | 13.6400i | −0.140747 | + | 0.798218i | ||||
\(293\) | 13.7871 | − | 5.01809i | 0.805450 | − | 0.293160i | 0.0937071 | − | 0.995600i | \(-0.470128\pi\) |
0.711743 | + | 0.702440i | \(0.247906\pi\) | |||||||
\(294\) | 3.18123 | − | 11.6996i | 0.185533 | − | 0.682332i | ||||
\(295\) | −0.735302 | − | 4.17011i | −0.0428110 | − | 0.242793i | ||||
\(296\) | 1.51353 | + | 2.62151i | 0.0879720 | + | 0.152372i | ||||
\(297\) | −0.484701 | − | 0.735081i | −0.0281252 | − | 0.0426537i | ||||
\(298\) | −9.49466 | + | 16.4452i | −0.550011 | + | 0.952647i | ||||
\(299\) | 3.96430 | − | 3.32644i | 0.229262 | − | 0.192373i | ||||
\(300\) | −4.02539 | − | 5.18949i | −0.232406 | − | 0.299615i | ||||
\(301\) | 13.0627 | − | 5.67823i | 0.752919 | − | 0.327288i | ||||
\(302\) | −7.67907 | − | 6.44350i | −0.441881 | − | 0.370782i | ||||
\(303\) | 9.38196 | + | 29.2212i | 0.538979 | + | 1.67872i | ||||
\(304\) | 2.64001 | − | 2.21523i | 0.151415 | − | 0.127052i | ||||
\(305\) | 14.9531 | 0.856211 | ||||||||
\(306\) | −0.612568 | − | 1.27852i | −0.0350182 | − | 0.0730881i | ||||
\(307\) | −1.07222 | + | 1.85714i | −0.0611948 | + | 0.105993i | −0.895000 | − | 0.446067i | \(-0.852824\pi\) |
0.833805 | + | 0.552059i | \(0.186158\pi\) | |||||||
\(308\) | 0.429853 | + | 0.127376i | 0.0244931 | + | 0.00725790i | ||||
\(309\) | 7.75505 | + | 4.88360i | 0.441169 | + | 0.277818i | ||||
\(310\) | 0.782065 | − | 0.284648i | 0.0444183 | − | 0.0161669i | ||||
\(311\) | 25.0531 | + | 21.0221i | 1.42063 | + | 1.19205i | 0.951000 | + | 0.309191i | \(0.100058\pi\) |
0.469633 | + | 0.882862i | \(0.344386\pi\) | |||||||
\(312\) | 0.110125 | − | 2.86673i | 0.00623459 | − | 0.162296i | ||||
\(313\) | 9.12862 | + | 3.32255i | 0.515980 | + | 0.187801i | 0.586868 | − | 0.809683i | \(-0.300361\pi\) |
−0.0708875 | + | 0.997484i | \(0.522583\pi\) | |||||||
\(314\) | −6.43066 | + | 11.1382i | −0.362903 | + | 0.628567i | ||||
\(315\) | −8.24427 | + | 2.85392i | −0.464512 | + | 0.160800i | ||||
\(316\) | −1.21757 | − | 2.10889i | −0.0684934 | − | 0.118634i | ||||
\(317\) | 3.73999 | + | 21.2105i | 0.210059 | + | 1.19130i | 0.889278 | + | 0.457367i | \(0.151207\pi\) |
−0.679220 | + | 0.733935i | \(0.737682\pi\) | |||||||
\(318\) | −5.61593 | − | 1.21420i | −0.314926 | − | 0.0680889i | ||||
\(319\) | 0.0715020 | − | 0.0260246i | 0.00400334 | − | 0.00145710i | ||||
\(320\) | 0.842001 | + | 0.706523i | 0.0470693 | + | 0.0394958i | ||||
\(321\) | −13.2373 | + | 1.81330i | −0.738835 | + | 0.101209i | ||||
\(322\) | −7.92574 | − | 2.34859i | −0.441684 | − | 0.130882i | ||||
\(323\) | −1.62859 | −0.0906173 | ||||||||
\(324\) | 8.89406 | + | 1.37683i | 0.494115 | + | 0.0764904i | ||||
\(325\) | −3.14028 | + | 5.43912i | −0.174191 | + | 0.301708i | ||||
\(326\) | −15.8267 | − | 5.76046i | −0.876562 | − | 0.319042i | ||||
\(327\) | 15.6302 | + | 20.1502i | 0.864350 | + | 1.11431i | ||||
\(328\) | 1.20842 | − | 0.439828i | 0.0667238 | − | 0.0242855i | ||||
\(329\) | −1.44389 | + | 12.6615i | −0.0796044 | + | 0.698049i | ||||
\(330\) | −0.0986181 | − | 0.307158i | −0.00542875 | − | 0.0169085i | ||||
\(331\) | −4.52139 | − | 25.6421i | −0.248518 | − | 1.40942i | −0.812178 | − | 0.583409i | \(-0.801718\pi\) |
0.563660 | − | 0.826007i | \(-0.309393\pi\) | |||||||
\(332\) | −13.3887 | −0.734799 | ||||||||
\(333\) | 6.48826 | + | 6.35374i | 0.355554 | + | 0.348183i | ||||
\(334\) | 19.6531 | 1.07537 | ||||||||
\(335\) | 11.3132 | − | 9.49289i | 0.618105 | − | 0.518652i | ||||
\(336\) | −3.91586 | + | 2.38034i | −0.213628 | + | 0.129858i | ||||
\(337\) | 1.28273 | − | 7.27473i | 0.0698749 | − | 0.396280i | −0.929732 | − | 0.368237i | \(-0.879961\pi\) |
0.999607 | − | 0.0280428i | \(-0.00892747\pi\) | |||||||
\(338\) | 9.63804 | − | 3.50796i | 0.524240 | − | 0.190808i | ||||
\(339\) | 18.4228 | − | 9.71328i | 1.00059 | − | 0.527553i | ||||
\(340\) | −0.0901965 | − | 0.511530i | −0.00489159 | − | 0.0277416i | ||||
\(341\) | −0.128305 | −0.00694813 | ||||||||
\(342\) | 5.84110 | − | 8.53075i | 0.315850 | − | 0.461290i | ||||
\(343\) | 12.0237 | + | 14.0866i | 0.649217 | + | 0.760604i | ||||
\(344\) | −5.05885 | − | 1.84127i | −0.272755 | − | 0.0992746i | ||||
\(345\) | 1.81835 | + | 5.66346i | 0.0978965 | + | 0.304911i | ||||
\(346\) | −14.8171 | + | 5.39298i | −0.796572 | + | 0.289928i | ||||
\(347\) | −5.84129 | + | 33.1276i | −0.313577 | + | 1.77838i | 0.266514 | + | 0.963831i | \(0.414128\pi\) |
−0.580091 | + | 0.814552i | \(0.696983\pi\) | |||||||
\(348\) | −0.293869 | + | 0.720106i | −0.0157530 | + | 0.0386017i | ||||
\(349\) | 3.70140 | + | 20.9917i | 0.198132 | + | 1.12366i | 0.907888 | + | 0.419213i | \(0.137694\pi\) |
−0.709756 | + | 0.704447i | \(0.751195\pi\) | |||||||
\(350\) | 10.0137 | − | 0.611442i | 0.535253 | − | 0.0326830i | ||||
\(351\) | −1.99458 | − | 8.37221i | −0.106463 | − | 0.446875i | ||||
\(352\) | −0.0847261 | − | 0.146750i | −0.00451591 | − | 0.00782179i | ||||
\(353\) | 19.5561 | + | 7.11783i | 1.04087 | + | 0.378844i | 0.805208 | − | 0.592992i | \(-0.202054\pi\) |
0.235657 | + | 0.971836i | \(0.424276\pi\) | |||||||
\(354\) | −4.08971 | − | 5.27241i | −0.217366 | − | 0.280226i | ||||
\(355\) | −10.5937 | − | 8.88920i | −0.562257 | − | 0.471789i | ||||
\(356\) | 0.670078 | + | 0.562263i | 0.0355141 | + | 0.0297999i | ||||
\(357\) | 2.14061 | + | 0.327779i | 0.113293 | + | 0.0173479i | ||||
\(358\) | −11.5505 | − | 4.20402i | −0.610460 | − | 0.222189i | ||||
\(359\) | −11.6711 | + | 20.2150i | −0.615979 | + | 1.06691i | 0.374233 | + | 0.927335i | \(0.377906\pi\) |
−0.990212 | + | 0.139572i | \(0.955427\pi\) | |||||||
\(360\) | 3.00295 | + | 1.36219i | 0.158269 | + | 0.0717937i | ||||
\(361\) | 3.56155 | + | 6.16878i | 0.187450 | + | 0.324673i | ||||
\(362\) | −17.7648 | − | 6.46586i | −0.933697 | − | 0.339838i | ||||
\(363\) | 0.729452 | − | 18.9888i | 0.0382863 | − | 0.996655i | ||||
\(364\) | 3.52242 | + | 2.60701i | 0.184625 | + | 0.136644i | ||||
\(365\) | −2.64357 | + | 14.9924i | −0.138371 | + | 0.784739i | ||||
\(366\) | 20.8435 | − | 10.9895i | 1.08951 | − | 0.574433i | ||||
\(367\) | 1.36091 | + | 7.71812i | 0.0710390 | + | 0.402882i | 0.999505 | + | 0.0314646i | \(0.0100171\pi\) |
−0.928466 | + | 0.371418i | \(0.878872\pi\) | |||||||
\(368\) | 1.56220 | + | 2.70581i | 0.0814354 | + | 0.141050i | ||||
\(369\) | 3.13687 | − | 2.24579i | 0.163299 | − | 0.116911i | ||||
\(370\) | 1.66360 | + | 2.88144i | 0.0864864 | + | 0.149799i | ||||
\(371\) | 6.36700 | − | 6.04083i | 0.330558 | − | 0.313624i | ||||
\(372\) | 0.880941 | − | 0.971545i | 0.0456747 | − | 0.0503723i | ||||
\(373\) | −4.22400 | + | 23.9555i | −0.218711 | + | 1.24037i | 0.655640 | + | 0.755074i | \(0.272399\pi\) |
−0.874350 | + | 0.485295i | \(0.838712\pi\) | |||||||
\(374\) | −0.0139052 | + | 0.0788604i | −0.000719022 | + | 0.00407778i | ||||
\(375\) | −10.2588 | − | 13.2255i | −0.529761 | − | 0.682962i | ||||
\(376\) | 3.68973 | − | 3.09605i | 0.190283 | − | 0.159667i | ||||
\(377\) | 0.743757 | 0.0383054 | ||||||||
\(378\) | −9.39444 | + | 10.0372i | −0.483198 | + | 0.516256i | ||||
\(379\) | −8.45188 | −0.434144 | −0.217072 | − | 0.976156i | \(-0.569651\pi\) | ||||
−0.217072 | + | 0.976156i | \(0.569651\pi\) | |||||||
\(380\) | 2.90178 | − | 2.43488i | 0.148858 | − | 0.124907i | ||||
\(381\) | −11.0793 | + | 1.51769i | −0.567610 | + | 0.0777537i | ||||
\(382\) | 0.894315 | − | 5.07191i | 0.0457571 | − | 0.259502i | ||||
\(383\) | 0.474442 | − | 2.69070i | 0.0242429 | − | 0.137488i | −0.970284 | − | 0.241969i | \(-0.922207\pi\) |
0.994527 | + | 0.104480i | \(0.0333180\pi\) | |||||||
\(384\) | 1.69293 | + | 0.366023i | 0.0863922 | + | 0.0186785i | ||||
\(385\) | 0.472475 | + | 0.140006i | 0.0240795 | + | 0.00713534i | ||||
\(386\) | −5.81845 | − | 10.0779i | −0.296151 | − | 0.512949i | ||||
\(387\) | −16.1029 | − | 1.23901i | −0.818558 | − | 0.0629825i | ||||
\(388\) | −2.28983 | − | 3.96611i | −0.116249 | − | 0.201349i | ||||
\(389\) | −1.76422 | − | 10.0054i | −0.0894495 | − | 0.507293i | −0.996307 | − | 0.0858568i | \(-0.972637\pi\) |
0.906858 | − | 0.421436i | \(-0.138474\pi\) | |||||||
\(390\) | 0.121044 | − | 3.15097i | 0.00612931 | − | 0.159556i | ||||
\(391\) | 0.256388 | − | 1.45405i | 0.0129661 | − | 0.0735344i | ||||
\(392\) | 0.367771 | − | 6.99033i | 0.0185752 | − | 0.353065i | ||||
\(393\) | −11.9113 | + | 6.28014i | −0.600846 | + | 0.316791i | ||||
\(394\) | 11.7155 | + | 4.26409i | 0.590218 | + | 0.214822i | ||||
\(395\) | −1.33829 | − | 2.31799i | −0.0673368 | − | 0.116631i | ||||
\(396\) | −0.363208 | − | 0.355677i | −0.0182519 | − | 0.0178735i | ||||
\(397\) | −6.72384 | + | 11.6460i | −0.337460 | + | 0.584498i | −0.983954 | − | 0.178421i | \(-0.942901\pi\) |
0.646494 | + | 0.762919i | \(0.276234\pi\) | |||||||
\(398\) | −6.15666 | − | 2.24084i | −0.308606 | − | 0.112323i | ||||
\(399\) | 5.73531 | + | 14.7147i | 0.287125 | + | 0.736655i | ||||
\(400\) | −2.90473 | − | 2.43736i | −0.145237 | − | 0.121868i | ||||
\(401\) | 2.79815 | + | 2.34793i | 0.139733 | + | 0.117250i | 0.709975 | − | 0.704227i | \(-0.248706\pi\) |
−0.570242 | + | 0.821477i | \(0.693151\pi\) | |||||||
\(402\) | 8.79307 | − | 21.5468i | 0.438558 | − | 1.07466i | ||||
\(403\) | −1.17850 | − | 0.428939i | −0.0587053 | − | 0.0213670i | ||||
\(404\) | 8.85956 | + | 15.3452i | 0.440780 | + | 0.763453i | ||||
\(405\) | 9.77595 | + | 1.51334i | 0.485771 | + | 0.0751987i | ||||
\(406\) | −0.655627 | − | 0.990764i | −0.0325382 | − | 0.0491708i | ||||
\(407\) | −0.0890712 | − | 0.505148i | −0.00441510 | − | 0.0250393i | ||||
\(408\) | −0.501668 | − | 0.646745i | −0.0248363 | − | 0.0320187i | ||||
\(409\) | 5.88747 | − | 33.3895i | 0.291117 | − | 1.65101i | −0.391463 | − | 0.920194i | \(-0.628031\pi\) |
0.682579 | − | 0.730811i | \(-0.260858\pi\) | |||||||
\(410\) | 1.32824 | − | 0.483439i | 0.0655970 | − | 0.0238754i | ||||
\(411\) | −10.6118 | + | 11.7032i | −0.523442 | + | 0.577278i | ||||
\(412\) | 4.97210 | + | 1.80970i | 0.244958 | + | 0.0891574i | ||||
\(413\) | 10.1737 | − | 0.621212i | 0.500614 | − | 0.0305679i | ||||
\(414\) | 6.69692 | + | 6.55807i | 0.329136 | + | 0.322312i | ||||
\(415\) | −14.7162 | −0.722391 | ||||||||
\(416\) | −0.287618 | − | 1.63116i | −0.0141016 | − | 0.0799743i | ||||
\(417\) | −0.933441 | + | 24.2990i | −0.0457108 | + | 1.18993i | ||||
\(418\) | −0.548763 | + | 0.199733i | −0.0268409 | + | 0.00976927i | ||||
\(419\) | 2.40176 | − | 13.6211i | 0.117334 | − | 0.665432i | −0.868235 | − | 0.496154i | \(-0.834745\pi\) |
0.985568 | − | 0.169278i | \(-0.0541437\pi\) | |||||||
\(420\) | −4.30414 | + | 2.61636i | −0.210020 | + | 0.127666i | ||||
\(421\) | 5.63925 | − | 4.73189i | 0.274840 | − | 0.230618i | −0.494940 | − | 0.868927i | \(-0.664810\pi\) |
0.769781 | + | 0.638309i | \(0.220366\pi\) | |||||||
\(422\) | −23.0138 | −1.12029 | ||||||||
\(423\) | 8.16363 | − | 11.9227i | 0.396929 | − | 0.579704i | ||||
\(424\) | −3.31728 | −0.161101 | ||||||||
\(425\) | 0.311160 | + | 1.76467i | 0.0150935 | + | 0.0855993i | ||||
\(426\) | −21.2998 | − | 4.60516i | −1.03198 | − | 0.223121i | ||||
\(427\) | −4.07818 | + | 35.7615i | −0.197357 | + | 1.73062i | ||||
\(428\) | −7.24873 | + | 2.63832i | −0.350381 | + | 0.127528i | ||||
\(429\) | −0.183680 | + | 0.450095i | −0.00886813 | + | 0.0217308i | ||||
\(430\) | −5.56045 | − | 2.02384i | −0.268149 | − | 0.0975982i | ||||
\(431\) | −5.43317 | + | 9.41053i | −0.261707 | + | 0.453289i | −0.966696 | − | 0.255929i | \(-0.917619\pi\) |
0.704989 | + | 0.709218i | \(0.250952\pi\) | |||||||
\(432\) | 5.18701 | − | 0.308185i | 0.249560 | − | 0.0148276i | ||||
\(433\) | 10.2657 | 0.493337 | 0.246669 | − | 0.969100i | \(-0.420664\pi\) | ||||
0.246669 | + | 0.969100i | \(0.420664\pi\) | |||||||
\(434\) | 0.467465 | + | 1.94800i | 0.0224390 | + | 0.0935070i | ||||
\(435\) | −0.323007 | + | 0.791508i | −0.0154870 | + | 0.0379499i | ||||
\(436\) | 11.2788 | + | 9.46401i | 0.540155 | + | 0.453244i | ||||
\(437\) | 10.1182 | − | 3.68273i | 0.484021 | − | 0.176169i | ||||
\(438\) | 7.33352 | + | 22.8412i | 0.350409 | + | 1.09139i | ||||
\(439\) | 2.51830 | + | 14.2820i | 0.120192 | + | 0.681642i | 0.984048 | + | 0.177904i | \(0.0569315\pi\) |
−0.863856 | + | 0.503739i | \(0.831957\pi\) | |||||||
\(440\) | −0.0931270 | − | 0.161301i | −0.00443966 | − | 0.00768971i | ||||
\(441\) | −4.57690 | − | 20.4952i | −0.217948 | − | 0.975960i | ||||
\(442\) | −0.391360 | + | 0.677856i | −0.0186151 | + | 0.0322423i | ||||
\(443\) | 25.2948 | + | 9.20656i | 1.20179 | + | 0.437417i | 0.863850 | − | 0.503750i | \(-0.168047\pi\) |
0.337943 | + | 0.941167i | \(0.390269\pi\) | |||||||
\(444\) | 4.43660 | + | 2.79387i | 0.210552 | + | 0.132591i | ||||
\(445\) | 0.736520 | + | 0.618013i | 0.0349144 | + | 0.0292966i | ||||
\(446\) | 7.96272 | − | 2.89819i | 0.377046 | − | 0.137233i | ||||
\(447\) | −1.26255 | + | 32.8662i | −0.0597166 | + | 1.55452i | ||||
\(448\) | −1.91935 | + | 1.82102i | −0.0906805 | + | 0.0860351i | ||||
\(449\) | −6.94314 | + | 12.0259i | −0.327667 | + | 0.567536i | −0.982048 | − | 0.188629i | \(-0.939596\pi\) |
0.654382 | + | 0.756165i | \(0.272929\pi\) | |||||||
\(450\) | −10.3596 | − | 4.69928i | −0.488355 | − | 0.221526i | ||||
\(451\) | −0.217911 | −0.0102610 | ||||||||
\(452\) | 9.21111 | − | 7.72904i | 0.433254 | − | 0.363543i | ||||
\(453\) | −16.9705 | − | 3.66913i | −0.797343 | − | 0.172391i | ||||
\(454\) | 11.7184 | + | 9.83291i | 0.549972 | + | 0.461481i | ||||
\(455\) | 3.87168 | + | 2.86550i | 0.181507 | + | 0.134337i | ||||
\(456\) | 2.25538 | − | 5.52666i | 0.105618 | − | 0.258810i | ||||
\(457\) | 9.43905 | − | 7.92031i | 0.441540 | − | 0.370496i | −0.394745 | − | 0.918791i | \(-0.629167\pi\) |
0.836285 | + | 0.548294i | \(0.184723\pi\) | |||||||
\(458\) | 10.1551 | − | 17.5892i | 0.474518 | − | 0.821890i | ||||
\(459\) | −1.97134 | − | 1.46403i | −0.0920141 | − | 0.0683351i | ||||
\(460\) | 1.71710 | + | 2.97411i | 0.0800602 | + | 0.138668i | ||||
\(461\) | −4.32477 | − | 24.5270i | −0.201424 | − | 1.14233i | −0.902968 | − | 0.429708i | \(-0.858616\pi\) |
0.701543 | − | 0.712627i | \(-0.252495\pi\) | |||||||
\(462\) | 0.761489 | − | 0.152081i | 0.0354277 | − | 0.00707546i | ||||
\(463\) | −18.9395 | + | 6.89342i | −0.880194 | + | 0.320364i | −0.742288 | − | 0.670081i | \(-0.766259\pi\) |
−0.137906 | + | 0.990445i | \(0.544037\pi\) | |||||||
\(464\) | −0.0779750 | + | 0.442218i | −0.00361990 | + | 0.0205295i | ||||
\(465\) | 0.968290 | − | 1.06788i | 0.0449034 | − | 0.0495216i | ||||
\(466\) | −20.0910 | + | 16.8583i | −0.930696 | + | 0.780946i | ||||
\(467\) | 7.83352 | − | 13.5681i | 0.362492 | − | 0.627855i | −0.625878 | − | 0.779921i | \(-0.715259\pi\) |
0.988370 | + | 0.152066i | \(0.0485927\pi\) | |||||||
\(468\) | −2.14704 | − | 4.48118i | −0.0992468 | − | 0.207143i | ||||
\(469\) | 19.6175 | + | 29.6454i | 0.905853 | + | 1.36890i | ||||
\(470\) | 4.05558 | − | 3.40304i | 0.187070 | − | 0.156970i | ||||
\(471\) | −0.855115 | + | 22.2600i | −0.0394016 | + | 1.02569i | ||||
\(472\) | −2.95115 | − | 2.47631i | −0.135838 | − | 0.113981i | ||||
\(473\) | 0.698822 | + | 0.586381i | 0.0321319 | + | 0.0269618i | ||||
\(474\) | −3.56905 | − | 2.24755i | −0.163932 | − | 0.103233i | ||||
\(475\) | −10.0105 | + | 8.39985i | −0.459316 | + | 0.385411i | ||||
\(476\) | 1.24796 | − | 0.0762016i | 0.0572003 | − | 0.00349269i | ||||
\(477\) | −9.58522 | + | 2.67627i | −0.438877 | + | 0.122538i | ||||
\(478\) | −0.269492 | + | 0.466773i | −0.0123263 | + | 0.0213497i | ||||
\(479\) | 10.4074 | − | 8.73283i | 0.475526 | − | 0.399013i | −0.373280 | − | 0.927719i | \(-0.621767\pi\) |
0.848805 | + | 0.528705i | \(0.177322\pi\) | |||||||
\(480\) | 1.86080 | + | 0.402316i | 0.0849333 | + | 0.0183631i | ||||
\(481\) | 0.870635 | − | 4.93762i | 0.0396975 | − | 0.225136i | ||||
\(482\) | −0.269342 | + | 0.0980323i | −0.0122682 | + | 0.00446525i | ||||
\(483\) | −14.0405 | + | 2.80411i | −0.638867 | + | 0.127592i | ||||
\(484\) | −1.90514 | − | 10.8046i | −0.0865974 | − | 0.491119i | ||||
\(485\) | −2.51688 | − | 4.35936i | −0.114286 | − | 0.197948i | ||||
\(486\) | 14.7391 | − | 5.07520i | 0.668581 | − | 0.230216i | ||||
\(487\) | 0.510615 | − | 0.884411i | 0.0231382 | − | 0.0400765i | −0.854224 | − | 0.519904i | \(-0.825968\pi\) |
0.877363 | + | 0.479828i | \(0.159301\pi\) | |||||||
\(488\) | 10.4214 | − | 8.74459i | 0.471754 | − | 0.395849i | ||||
\(489\) | −28.9021 | + | 3.95913i | −1.30700 | + | 0.179038i | ||||
\(490\) | 0.404237 | − | 7.68345i | 0.0182615 | − | 0.347103i | ||||
\(491\) | −28.8407 | − | 24.2002i | −1.30156 | − | 1.09214i | −0.989873 | − | 0.141958i | \(-0.954660\pi\) |
−0.311691 | − | 0.950184i | \(-0.600895\pi\) | |||||||
\(492\) | 1.49617 | − | 1.65005i | 0.0674525 | − | 0.0743899i | ||||
\(493\) | 0.162555 | − | 0.136400i | 0.00732110 | − | 0.00614313i | ||||
\(494\) | −5.70818 | −0.256823 | ||||||||
\(495\) | −0.399221 | − | 0.390944i | −0.0179437 | − | 0.0175716i | ||||
\(496\) | 0.378589 | − | 0.655736i | 0.0169992 | − | 0.0294434i | ||||
\(497\) | 24.1485 | − | 22.9114i | 1.08321 | − | 1.02772i | ||||
\(498\) | −20.5133 | + | 10.8155i | −0.919223 | + | 0.484653i | ||||
\(499\) | 19.9089 | − | 7.24626i | 0.891246 | − | 0.324387i | 0.144507 | − | 0.989504i | \(-0.453840\pi\) |
0.746740 | + | 0.665117i | \(0.231618\pi\) | |||||||
\(500\) | −7.40276 | − | 6.21165i | −0.331061 | − | 0.277793i | ||||
\(501\) | 30.1112 | − | 15.8759i | 1.34527 | − | 0.709282i | ||||
\(502\) | −22.8658 | − | 8.32247i | −1.02055 | − | 0.371450i | ||||
\(503\) | 19.9652 | − | 34.5807i | 0.890202 | − | 1.54188i | 0.0505696 | − | 0.998721i | \(-0.483896\pi\) |
0.839633 | − | 0.543155i | \(-0.182770\pi\) | |||||||
\(504\) | −4.07678 | + | 6.81028i | −0.181594 | + | 0.303354i | ||||
\(505\) | 9.73803 | + | 16.8668i | 0.433337 | + | 0.750561i | ||||
\(506\) | −0.0919357 | − | 0.521393i | −0.00408704 | − | 0.0231788i | ||||
\(507\) | 11.9330 | − | 13.1604i | 0.529965 | − | 0.584472i | ||||
\(508\) | −6.06701 | + | 2.20821i | −0.269180 | + | 0.0979735i | ||||
\(509\) | −2.10030 | − | 1.76236i | −0.0930942 | − | 0.0781153i | 0.595053 | − | 0.803687i | \(-0.297131\pi\) |
−0.688147 | + | 0.725571i | \(0.741576\pi\) | |||||||
\(510\) | −0.551411 | − | 0.710873i | −0.0244169 | − | 0.0314780i | ||||
\(511\) | −35.1346 | − | 10.4112i | −1.55426 | − | 0.460565i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 2.05816 | − | 17.7888i | 0.0908700 | − | 0.785394i | ||||
\(514\) | −5.21826 | + | 9.03829i | −0.230168 | + | 0.398662i | ||||
\(515\) | 5.46511 | + | 1.98914i | 0.240821 | + | 0.0876518i | ||||
\(516\) | −9.23824 | + | 1.26549i | −0.406691 | + | 0.0557103i | ||||
\(517\) | −0.766961 | + | 0.279151i | −0.0337309 | + | 0.0122771i | ||||
\(518\) | −7.34491 | + | 3.19277i | −0.322717 | + | 0.140282i | ||||
\(519\) | −18.3453 | + | 20.2321i | −0.805271 | + | 0.888093i | ||||
\(520\) | −0.316137 | − | 1.79290i | −0.0138635 | − | 0.0786238i | ||||
\(521\) | 16.1921 | 0.709390 | 0.354695 | − | 0.934982i | \(-0.384585\pi\) | ||||
0.354695 | + | 0.934982i | \(0.384585\pi\) | |||||||
\(522\) | 0.131459 | + | 1.34069i | 0.00575382 | + | 0.0586805i | ||||
\(523\) | −4.09141 | −0.178905 | −0.0894525 | − | 0.995991i | \(-0.528512\pi\) | ||||
−0.0894525 | + | 0.995991i | \(0.528512\pi\) | |||||||
\(524\) | −5.95546 | + | 4.99722i | −0.260165 | + | 0.218305i | ||||
\(525\) | 14.8484 | − | 9.02593i | 0.648037 | − | 0.393924i | ||||
\(526\) | 2.89112 | − | 16.3964i | 0.126059 | − | 0.714916i | ||||
\(527\) | −0.336236 | + | 0.122380i | −0.0146467 | + | 0.00533096i | ||||
\(528\) | −0.248358 | − | 0.156399i | −0.0108084 | − | 0.00680638i | ||||
\(529\) | −2.29877 | − | 13.0370i | −0.0999467 | − | 0.566826i | ||||
\(530\) | −3.64620 | −0.158381 | ||||||||
\(531\) | −10.5251 | − | 4.77437i | −0.456751 | − | 0.207190i | ||||
\(532\) | 5.03180 | + | 7.60390i | 0.218156 | + | 0.329671i | ||||
\(533\) | −2.00154 | − | 0.728499i | −0.0866961 | − | 0.0315548i | ||||
\(534\) | 1.48085 | + | 0.320170i | 0.0640828 | + | 0.0138551i | ||||
\(535\) | −7.96747 | + | 2.89992i | −0.344464 | + | 0.125375i | ||||
\(536\) | 2.33315 | − | 13.2319i | 0.100777 | − | 0.571533i | ||||
\(537\) | −21.0929 | + | 2.88940i | −0.910227 | + | 0.124687i | ||||
\(538\) | 4.59970 | + | 26.0862i | 0.198307 | + | 1.12466i | ||||
\(539\) | −0.463693 | + | 1.09178i | −0.0199727 | + | 0.0470261i | ||||
\(540\) | 5.70132 | − | 0.338743i | 0.245346 | − | 0.0145772i | ||||
\(541\) | −6.03152 | − | 10.4469i | −0.259315 | − | 0.449148i | 0.706743 | − | 0.707470i | \(-0.250164\pi\) |
−0.966059 | + | 0.258323i | \(0.916830\pi\) | |||||||
\(542\) | −10.7874 | − | 3.92631i | −0.463360 | − | 0.168649i | ||||
\(543\) | −32.4413 | + | 4.44395i | −1.39219 | + | 0.190708i | ||||
\(544\) | −0.362005 | − | 0.303758i | −0.0155208 | − | 0.0130235i | ||||
\(545\) | 12.3971 | + | 10.4024i | 0.531034 | + | 0.445590i | ||||
\(546\) | 7.50279 | + | 1.14886i | 0.321090 | + | 0.0491666i | ||||
\(547\) | −16.1406 | − | 5.87469i | −0.690121 | − | 0.251184i | −0.0269342 | − | 0.999637i | \(-0.508574\pi\) |
−0.663187 | + | 0.748454i | \(0.730797\pi\) | |||||||
\(548\) | −4.56048 | + | 7.89899i | −0.194814 | + | 0.337428i | ||||
\(549\) | 23.0576 | − | 33.6750i | 0.984076 | − | 1.43721i | ||||
\(550\) | 0.321269 | + | 0.556455i | 0.0136990 | + | 0.0237273i | ||||
\(551\) | 1.45420 | + | 0.529284i | 0.0619508 | + | 0.0225482i | ||||
\(552\) | 4.57928 | + | 2.88372i | 0.194907 | + | 0.122739i | ||||
\(553\) | 5.90865 | − | 2.56844i | 0.251261 | − | 0.109221i | ||||
\(554\) | 2.90525 | − | 16.4765i | 0.123432 | − | 0.700019i | ||||
\(555\) | 4.87651 | + | 3.07090i | 0.206996 | + | 0.130352i | ||||
\(556\) | 2.43791 | + | 13.8261i | 0.103390 | + | 0.586356i | ||||
\(557\) | 11.6859 | + | 20.2406i | 0.495149 | + | 0.857623i | 0.999984 | − | 0.00559258i | \(-0.00178018\pi\) |
−0.504835 | + | 0.863216i | \(0.668447\pi\) | |||||||
\(558\) | 0.564902 | − | 2.20017i | 0.0239142 | − | 0.0931407i | ||||
\(559\) | 4.45842 | + | 7.72222i | 0.188571 | + | 0.326615i | ||||
\(560\) | −2.10966 | + | 2.00158i | −0.0891493 | + | 0.0845823i | ||||
\(561\) | 0.0423993 | + | 0.132058i | 0.00179010 | + | 0.00557549i | ||||
\(562\) | −4.88963 | + | 27.7305i | −0.206257 | + | 1.16974i | ||||
\(563\) | 6.29581 | − | 35.7053i | 0.265337 | − | 1.50480i | −0.502738 | − | 0.864439i | \(-0.667674\pi\) |
0.768074 | − | 0.640361i | \(-0.221215\pi\) | |||||||
\(564\) | 3.15216 | − | 7.72417i | 0.132730 | − | 0.325246i | ||||
\(565\) | 10.1244 | − | 8.49541i | 0.425938 | − | 0.357404i | ||||
\(566\) | 7.66284 | 0.322093 | ||||||||
\(567\) | −6.28549 | + | 22.9672i | −0.263966 | + | 0.964532i | ||||
\(568\) | −12.5816 | −0.527913 | ||||||||
\(569\) | 17.5116 | − | 14.6939i | 0.734123 | − | 0.616002i | −0.197129 | − | 0.980377i | \(-0.563162\pi\) |
0.931252 | + | 0.364375i | \(0.118717\pi\) | |||||||
\(570\) | 2.47901 | − | 6.07465i | 0.103834 | − | 0.254439i | ||||
\(571\) | 6.53591 | − | 37.0670i | 0.273519 | − | 1.55121i | −0.470106 | − | 0.882610i | \(-0.655784\pi\) |
0.743626 | − | 0.668596i | \(-0.233104\pi\) | |||||||
\(572\) | −0.0487375 | + | 0.276404i | −0.00203782 | + | 0.0115570i | ||||
\(573\) | −2.72691 | − | 8.49330i | −0.113918 | − | 0.354813i | ||||
\(574\) | 0.793930 | + | 3.30844i | 0.0331380 | + | 0.138091i | ||||
\(575\) | −5.92365 | − | 10.2601i | −0.247033 | − | 0.427874i | ||||
\(576\) | 2.88949 | − | 0.806767i | 0.120395 | − | 0.0336153i | ||||
\(577\) | −19.3498 | − | 33.5149i | −0.805543 | − | 1.39524i | −0.915924 | − | 0.401352i | \(-0.868540\pi\) |
0.110381 | − | 0.993889i | \(-0.464793\pi\) | |||||||
\(578\) | −2.91324 | − | 16.5218i | −0.121175 | − | 0.687217i | ||||
\(579\) | −17.0556 | − | 10.7405i | −0.708808 | − | 0.446359i | ||||
\(580\) | −0.0857066 | + | 0.486066i | −0.00355877 | + | 0.0201828i | ||||
\(581\) | 4.01358 | − | 35.1950i | 0.166511 | − | 1.46014i | ||||
\(582\) | −6.71219 | − | 4.22688i | −0.278229 | − | 0.175210i | ||||
\(583\) | 0.528219 | + | 0.192256i | 0.0218766 | + | 0.00796243i | ||||
\(584\) | 6.92519 | + | 11.9948i | 0.286566 | + | 0.496347i | ||||
\(585\) | −2.35992 | − | 4.92551i | −0.0975708 | − | 0.203645i | ||||
\(586\) | 7.33595 | − | 12.7062i | 0.303045 | − | 0.524890i | ||||
\(587\) | 17.1717 | + | 6.24998i | 0.708752 | + | 0.257964i | 0.671143 | − | 0.741328i | \(-0.265804\pi\) |
0.0376087 | + | 0.999293i | \(0.488026\pi\) | |||||||
\(588\) | −5.08337 | − | 11.0072i | −0.209634 | − | 0.453931i | ||||
\(589\) | −1.99896 | − | 1.67733i | −0.0823656 | − | 0.0691130i | ||||
\(590\) | −3.24377 | − | 2.72184i | −0.133544 | − | 0.112057i | ||||
\(591\) | 21.3943 | − | 2.93068i | 0.880045 | − | 0.120552i | ||||
\(592\) | 2.84450 | + | 1.03531i | 0.116908 | + | 0.0425511i | ||||
\(593\) | −5.46834 | − | 9.47145i | −0.224558 | − | 0.388946i | 0.731629 | − | 0.681703i | \(-0.238760\pi\) |
−0.956187 | + | 0.292757i | \(0.905427\pi\) | |||||||
\(594\) | −0.843803 | − | 0.251545i | −0.0346217 | − | 0.0103210i | ||||
\(595\) | 1.37170 | − | 0.0837573i | 0.0562344 | − | 0.00343371i | ||||
\(596\) | 3.29746 | + | 18.7008i | 0.135069 | + | 0.766016i | ||||
\(597\) | −11.2430 | + | 1.54012i | −0.460147 | + | 0.0630328i | ||||
\(598\) | 0.898634 | − | 5.09641i | 0.0367479 | − | 0.208408i | ||||
\(599\) | −36.7879 | + | 13.3897i | −1.50311 | + | 0.547088i | −0.956864 | − | 0.290536i | \(-0.906166\pi\) |
−0.546247 | + | 0.837624i | \(0.683944\pi\) | |||||||
\(600\) | −6.41937 | − | 1.38791i | −0.262070 | − | 0.0566611i | ||||
\(601\) | 6.55427 | + | 2.38556i | 0.267354 | + | 0.0973090i | 0.472219 | − | 0.881481i | \(-0.343453\pi\) |
−0.204865 | + | 0.978790i | \(0.565675\pi\) | |||||||
\(602\) | 6.35668 | − | 12.7463i | 0.259079 | − | 0.519500i | ||||
\(603\) | −3.93350 | − | 40.1158i | −0.160184 | − | 1.63364i | ||||
\(604\) | −10.0243 | −0.407883 | ||||||||
\(605\) | −2.09405 | − | 11.8759i | −0.0851351 | − | 0.482825i | ||||
\(606\) | 25.9701 | + | 16.3542i | 1.05496 | + | 0.664343i | ||||
\(607\) | 2.11335 | − | 0.769196i | 0.0857782 | − | 0.0312207i | −0.298775 | − | 0.954324i | \(-0.596578\pi\) |
0.384553 | + | 0.923103i | \(0.374356\pi\) | |||||||
\(608\) | 0.598442 | − | 3.39393i | 0.0242700 | − | 0.137642i | ||||
\(609\) | −1.80486 | − | 0.988366i | −0.0731365 | − | 0.0400506i | ||||
\(610\) | 11.4547 | − | 9.61165i | 0.463788 | − | 0.389165i | ||||
\(611\) | −7.97786 | −0.322750 | ||||||||
\(612\) | −1.29107 | − | 0.585652i | −0.0521884 | − | 0.0236736i | ||||
\(613\) | 47.1138 | 1.90291 | 0.951455 | − | 0.307789i | \(-0.0995891\pi\) | ||||
0.951455 | + | 0.307789i | \(0.0995891\pi\) | |||||||
\(614\) | 0.372378 | + | 2.11186i | 0.0150280 | + | 0.0852277i | ||||
\(615\) | 1.64452 | − | 1.81366i | 0.0663134 | − | 0.0731337i | ||||
\(616\) | 0.411162 | − | 0.178729i | 0.0165662 | − | 0.00720118i | ||||
\(617\) | 5.22382 | − | 1.90131i | 0.210303 | − | 0.0765440i | −0.234721 | − | 0.972063i | \(-0.575418\pi\) |
0.445024 | + | 0.895519i | \(0.353195\pi\) | |||||||
\(618\) | 9.07983 | − | 1.24379i | 0.365244 | − | 0.0500327i | ||||
\(619\) | −1.04942 | − | 0.381956i | −0.0421796 | − | 0.0153521i | 0.320844 | − | 0.947132i | \(-0.396033\pi\) |
−0.363024 | + | 0.931780i | \(0.618256\pi\) | |||||||
\(620\) | 0.416128 | − | 0.720755i | 0.0167121 | − | 0.0289462i | ||||
\(621\) | 15.5583 | + | 4.63805i | 0.624332 | + | 0.186119i | ||||
\(622\) | 32.7046 | 1.31133 | ||||||||
\(623\) | −1.67890 | + | 1.59289i | −0.0672637 | + | 0.0638179i | ||||
\(624\) | −1.75834 | − | 2.26683i | −0.0703898 | − | 0.0907457i | ||||
\(625\) | 6.38689 | + | 5.35924i | 0.255476 | + | 0.214370i | ||||
\(626\) | 9.12862 | − | 3.32255i | 0.364853 | − | 0.132796i | ||||
\(627\) | −0.679434 | + | 0.749313i | −0.0271340 | + | 0.0299247i | ||||
\(628\) | 2.23334 | + | 12.6659i | 0.0891201 | + | 0.505425i | ||||
\(629\) | −0.715239 | − | 1.23883i | −0.0285184 | − | 0.0493954i | ||||
\(630\) | −4.48101 | + | 7.48554i | −0.178528 | + | 0.298231i | ||||
\(631\) | 5.46231 | − | 9.46100i | 0.217451 | − | 0.376636i | −0.736577 | − | 0.676354i | \(-0.763559\pi\) |
0.954028 | + | 0.299717i | \(0.0968924\pi\) | |||||||
\(632\) | −2.28827 | − | 0.832864i | −0.0910227 | − | 0.0331295i | ||||
\(633\) | −35.2603 | + | 18.5907i | −1.40147 | + | 0.738914i | ||||
\(634\) | 16.4989 | + | 13.8442i | 0.655253 | + | 0.549823i | ||||
\(635\) | −6.66858 | + | 2.42717i | −0.264635 | + | 0.0963191i | ||||
\(636\) | −5.08252 | + | 2.67972i | −0.201535 | + | 0.106258i | ||||
\(637\) | −7.90900 | + | 8.47792i | −0.313366 | + | 0.335907i | ||||
\(638\) | 0.0380454 | − | 0.0658966i | 0.00150623 | − | 0.00260887i | ||||
\(639\) | −36.3544 | + | 10.1504i | −1.43816 | + | 0.401545i | ||||
\(640\) | 1.09915 | 0.0434479 | ||||||||
\(641\) | 9.43929 | − | 7.92050i | 0.372829 | − | 0.312841i | −0.437050 | − | 0.899437i | \(-0.643977\pi\) |
0.809880 | + | 0.586596i | \(0.199532\pi\) | |||||||
\(642\) | −8.97480 | + | 9.89785i | −0.354207 | + | 0.390637i | ||||
\(643\) | −16.1026 | − | 13.5117i | −0.635025 | − | 0.532849i | 0.267461 | − | 0.963569i | \(-0.413815\pi\) |
−0.902486 | + | 0.430720i | \(0.858260\pi\) | |||||||
\(644\) | −7.58111 | + | 3.29545i | −0.298738 | + | 0.129859i | ||||
\(645\) | −10.1543 | + | 1.39097i | −0.399823 | + | 0.0547695i | ||||
\(646\) | −1.24757 | + | 1.04684i | −0.0490852 | + | 0.0411873i | ||||
\(647\) | −11.3848 | + | 19.7191i | −0.447584 | + | 0.775238i | −0.998228 | − | 0.0595021i | \(-0.981049\pi\) |
0.550644 | + | 0.834740i | \(0.314382\pi\) | |||||||
\(648\) | 7.69825 | − | 4.66228i | 0.302416 | − | 0.183152i | ||||
\(649\) | 0.326403 | + | 0.565346i | 0.0128124 | + | 0.0221918i | ||||
\(650\) | 1.09061 | + | 6.18514i | 0.0427771 | + | 0.242601i | ||||
\(651\) | 2.28983 | + | 2.60699i | 0.0897455 | + | 0.102176i | ||||
\(652\) | −15.8267 | + | 5.76046i | −0.619823 | + | 0.225597i | ||||
\(653\) | 6.99841 | − | 39.6900i | 0.273869 | − | 1.55319i | −0.468663 | − | 0.883377i | \(-0.655264\pi\) |
0.742532 | − | 0.669811i | \(-0.233625\pi\) | |||||||
\(654\) | 24.9257 | + | 5.38910i | 0.974673 | + | 0.210730i | ||||
\(655\) | −6.54597 | + | 5.49272i | −0.255772 | + | 0.214618i | ||||
\(656\) | 0.642986 | − | 1.11368i | 0.0251044 | − | 0.0434821i | ||||
\(657\) | 29.6872 | + | 29.0717i | 1.15821 | + | 1.13420i | ||||
\(658\) | 7.03255 | + | 10.6274i | 0.274157 | + | 0.414298i | ||||
\(659\) | −1.50385 | + | 1.26188i | −0.0585815 | + | 0.0491557i | −0.671608 | − | 0.740906i | \(-0.734396\pi\) |
0.613027 | + | 0.790062i | \(0.289952\pi\) | |||||||
\(660\) | −0.272983 | − | 0.171906i | −0.0106259 | − | 0.00669144i | ||||
\(661\) | −10.0316 | − | 8.41748i | −0.390182 | − | 0.327402i | 0.426502 | − | 0.904487i | \(-0.359746\pi\) |
−0.816684 | + | 0.577085i | \(0.804190\pi\) | |||||||
\(662\) | −19.9460 | − | 16.7367i | −0.775223 | − | 0.650489i | ||||
\(663\) | −0.0520410 | + | 1.35471i | −0.00202111 | + | 0.0526126i | ||||
\(664\) | −10.2563 | + | 8.60608i | −0.398023 | + | 0.333981i | ||||
\(665\) | 5.53073 | + | 8.35786i | 0.214472 | + | 0.324104i | ||||
\(666\) | 9.05440 | + | 0.696675i | 0.350851 | + | 0.0269956i | ||||
\(667\) | −0.701491 | + | 1.21502i | −0.0271618 | + | 0.0470457i | ||||
\(668\) | 15.0551 | − | 12.6327i | 0.582500 | − | 0.488776i | ||||
\(669\) | 9.85881 | − | 10.8728i | 0.381163 | − | 0.420366i | ||||
\(670\) | 2.56449 | − | 14.5439i | 0.0990749 | − | 0.561882i | ||||
\(671\) | −2.16623 | + | 0.788444i | −0.0836264 | + | 0.0304375i | ||||
\(672\) | −1.46967 | + | 4.34052i | −0.0566937 | + | 0.167439i | ||||
\(673\) | 4.13347 | + | 23.4421i | 0.159333 | + | 0.903625i | 0.954716 | + | 0.297518i | \(0.0961587\pi\) |
−0.795383 | + | 0.606107i | \(0.792730\pi\) | |||||||
\(674\) | −3.69348 | − | 6.39729i | −0.142268 | − | 0.246415i | ||||
\(675\) | −19.6684 | + | 1.16859i | −0.757037 | + | 0.0449792i | ||||
\(676\) | 5.12829 | − | 8.88246i | 0.197242 | − | 0.341633i | ||||
\(677\) | −23.7696 | + | 19.9451i | −0.913542 | + | 0.766553i | −0.972789 | − | 0.231691i | \(-0.925574\pi\) |
0.0592478 | + | 0.998243i | \(0.481130\pi\) | |||||||
\(678\) | 7.86912 | − | 19.2828i | 0.302212 | − | 0.740550i | ||||
\(679\) | 11.1122 | − | 4.83038i | 0.426447 | − | 0.185373i | ||||
\(680\) | −0.397899 | − | 0.333877i | −0.0152587 | − | 0.0128036i | ||||
\(681\) | 25.8973 | + | 5.59916i | 0.992387 | + | 0.214560i | ||||
\(682\) | −0.0982877 | + | 0.0824731i | −0.00376363 | + | 0.00315806i | ||||
\(683\) | 33.6593 | 1.28794 | 0.643969 | − | 0.765052i | \(-0.277287\pi\) | ||||
0.643969 | + | 0.765052i | \(0.277287\pi\) | |||||||
\(684\) | −1.00892 | − | 10.2895i | −0.0385771 | − | 0.393430i | ||||
\(685\) | −5.01268 | + | 8.68221i | −0.191524 | + | 0.331730i | ||||
\(686\) | 18.2653 | + | 3.06229i | 0.697374 | + | 0.116919i | ||||
\(687\) | 1.35038 | − | 35.1525i | 0.0515201 | − | 1.34115i | ||||
\(688\) | −5.05885 | + | 1.84127i | −0.192867 | + | 0.0701977i | ||||
\(689\) | 4.20902 | + | 3.53179i | 0.160351 | + | 0.134550i | ||||
\(690\) | 5.03334 | + | 3.16965i | 0.191616 | + | 0.120667i | ||||
\(691\) | −2.32289 | − | 0.845463i | −0.0883669 | − | 0.0321629i | 0.297458 | − | 0.954735i | \(-0.403861\pi\) |
−0.385825 | + | 0.922572i | \(0.626083\pi\) | |||||||
\(692\) | −7.88401 | + | 13.6555i | −0.299705 | + | 0.519104i | ||||
\(693\) | 1.04385 | − | 0.848146i | 0.0396527 | − | 0.0322184i | ||||
\(694\) | 16.8193 | + | 29.1319i | 0.638453 | + | 1.10583i | ||||
\(695\) | 2.67964 | + | 15.1970i | 0.101645 | + | 0.576455i | ||||
\(696\) | 0.237759 | + | 0.740528i | 0.00901222 | + | 0.0280697i | ||||
\(697\) | −0.571055 | + | 0.207847i | −0.0216303 | + | 0.00787277i | ||||
\(698\) | 16.3286 | + | 13.7014i | 0.618048 | + | 0.518604i | ||||
\(699\) | −17.1638 | + | 42.0589i | −0.649196 | + | 1.59081i | ||||
\(700\) | 7.27789 | − | 6.90505i | 0.275078 | − | 0.260986i | ||||
\(701\) | −27.5480 | −1.04047 | −0.520237 | − | 0.854022i | \(-0.674157\pi\) | ||||
−0.520237 | + | 0.854022i | \(0.674157\pi\) | |||||||
\(702\) | −6.90949 | − | 5.13140i | −0.260782 | − | 0.193672i | ||||
\(703\) | 5.21605 | − | 9.03447i | 0.196727 | − | 0.340741i | ||||
\(704\) | −0.159233 | − | 0.0579560i | −0.00600132 | − | 0.00218430i | ||||
\(705\) | 3.46471 | − | 8.49005i | 0.130489 | − | 0.319754i | ||||
\(706\) | 19.5561 | − | 7.11783i | 0.736003 | − | 0.267883i | ||||
\(707\) | −42.9940 | + | 18.6892i | −1.61696 | + | 0.702878i | ||||
\(708\) | −6.52195 | − | 1.41009i | −0.245110 | − | 0.0529943i | ||||
\(709\) | 0.962473 | + | 5.45846i | 0.0361464 | + | 0.204997i | 0.997532 | − | 0.0702068i | \(-0.0223659\pi\) |
−0.961386 | + | 0.275203i | \(0.911255\pi\) | |||||||
\(710\) | −13.8291 | −0.518998 | ||||||||
\(711\) | −7.28386 | − | 0.560444i | −0.273166 | − | 0.0210183i | ||||
\(712\) | 0.874725 | 0.0327817 | ||||||||
\(713\) | 1.81225 | − | 1.52066i | 0.0678694 | − | 0.0569492i | ||||
\(714\) | 1.85050 | − | 1.12486i | 0.0692530 | − | 0.0420970i | ||||
\(715\) | −0.0535700 | + | 0.303811i | −0.00200340 | + | 0.0113619i | ||||
\(716\) | −11.5505 | + | 4.20402i | −0.431661 | + | 0.157112i | ||||
\(717\) | −0.0358356 | + | 0.932858i | −0.00133830 | + | 0.0348382i | ||||
\(718\) | 4.05334 | + | 22.9877i | 0.151269 | + | 0.857892i | ||||
\(719\) | 25.5408 | 0.952510 | 0.476255 | − | 0.879307i | \(-0.341994\pi\) | ||||
0.476255 | + | 0.879307i | \(0.341994\pi\) | |||||||
\(720\) | 3.17599 | − | 0.886761i | 0.118362 | − | 0.0330476i | ||||
\(721\) | −6.24768 | + | 12.5277i | −0.232676 | + | 0.466557i | ||||
\(722\) | 6.69352 | + | 2.43624i | 0.249107 | + | 0.0906675i | ||||
\(723\) | −0.333477 | + | 0.367775i | −0.0124022 | + | 0.0136777i | ||||
\(724\) | −17.7648 | + | 6.46586i | −0.660224 | + | 0.240302i | ||||
\(725\) | 0.295670 | − | 1.67683i | 0.0109809 | − | 0.0622759i | ||||
\(726\) | −11.6470 | − | 15.0152i | −0.432260 | − | 0.557265i | ||||
\(727\) | 4.70090 | + | 26.6601i | 0.174347 | + | 0.988770i | 0.938895 | + | 0.344204i | \(0.111851\pi\) |
−0.764548 | + | 0.644567i | \(0.777038\pi\) | |||||||
\(728\) | 4.37408 | − | 0.267085i | 0.162114 | − | 0.00989881i | ||||
\(729\) | 18.4826 | − | 19.6823i | 0.684541 | − | 0.728974i | ||||
\(730\) | 7.61185 | + | 13.1841i | 0.281727 | + | 0.487966i | ||||
\(731\) | 2.39063 | + | 0.870118i | 0.0884206 | + | 0.0321825i | ||||
\(732\) | 8.90308 | − | 21.8164i | 0.329067 | − | 0.806357i | ||||
\(733\) | −16.6324 | − | 13.9562i | −0.614332 | − | 0.515486i | 0.281684 | − | 0.959507i | \(-0.409107\pi\) |
−0.896016 | + | 0.444021i | \(0.853551\pi\) | |||||||
\(734\) | 6.00363 | + | 5.03764i | 0.221598 | + | 0.185943i | ||||
\(735\) | −5.58740 | − | 12.0987i | −0.206095 | − | 0.446266i | ||||
\(736\) | 2.93598 | + | 1.06861i | 0.108222 | + | 0.0393894i | ||||
\(737\) | −1.13839 | + | 1.97174i | −0.0419330 | + | 0.0726300i | ||||
\(738\) | 0.959415 | − | 3.73672i | 0.0353166 | − | 0.137550i | ||||
\(739\) | −2.49374 | − | 4.31928i | −0.0917336 | − | 0.158887i | 0.816507 | − | 0.577335i | \(-0.195907\pi\) |
−0.908241 | + | 0.418448i | \(0.862574\pi\) | |||||||
\(740\) | 3.12655 | + | 1.13797i | 0.114934 | + | 0.0418326i | ||||
\(741\) | −8.74572 | + | 4.61111i | −0.321282 | + | 0.169393i | ||||
\(742\) | 0.994434 | − | 8.72017i | 0.0365068 | − | 0.320127i | ||||
\(743\) | 3.58890 | − | 20.3536i | 0.131664 | − | 0.746703i | −0.845461 | − | 0.534037i | \(-0.820674\pi\) |
0.977125 | − | 0.212666i | \(-0.0682146\pi\) | |||||||
\(744\) | 0.0503428 | − | 1.31050i | 0.00184566 | − | 0.0480454i | ||||
\(745\) | 3.62442 | + | 20.5551i | 0.132788 | + | 0.753081i | ||||
\(746\) | 12.1625 | + | 21.0661i | 0.445302 | + | 0.771285i | ||||
\(747\) | −22.6924 | + | 33.1416i | −0.830272 | + | 1.21259i | ||||
\(748\) | 0.0400385 | + | 0.0693487i | 0.00146395 | + | 0.00253564i | ||||
\(749\) | −4.76241 | − | 19.8457i | −0.174015 | − | 0.725148i | ||||
\(750\) | −16.3599 | − | 3.53710i | −0.597378 | − | 0.129157i | ||||
\(751\) | −6.34750 | + | 35.9985i | −0.231624 | + | 1.31360i | 0.617985 | + | 0.786190i | \(0.287949\pi\) |
−0.849609 | + | 0.527413i | \(0.823162\pi\) | |||||||
\(752\) | 0.836394 | − | 4.74343i | 0.0305001 | − | 0.172975i | ||||
\(753\) | −41.7565 | + | 5.71999i | −1.52169 | + | 0.208448i | ||||
\(754\) | 0.569751 | − | 0.478078i | 0.0207491 | − | 0.0174106i | ||||
\(755\) | −11.0183 | −0.400996 | ||||||||
\(756\) | −0.744801 | + | 13.7275i | −0.0270881 | + | 0.499266i | ||||
\(757\) | 17.3561 | 0.630816 | 0.315408 | − | 0.948956i | \(-0.397859\pi\) | ||||
0.315408 | + | 0.948956i | \(0.397859\pi\) | |||||||
\(758\) | −6.47451 | + | 5.43276i | −0.235165 | + | 0.197327i | ||||
\(759\) | −0.562044 | − | 0.724580i | −0.0204009 | − | 0.0263006i | ||||
\(760\) | 0.657780 | − | 3.73046i | 0.0238602 | − | 0.135318i | ||||
\(761\) | −0.579134 | + | 3.28443i | −0.0209936 | + | 0.119061i | −0.993504 | − | 0.113800i | \(-0.963698\pi\) |
0.972510 | + | 0.232861i | \(0.0748087\pi\) | |||||||
\(762\) | −7.51169 | + | 8.28426i | −0.272120 | + | 0.300107i | ||||
\(763\) | −28.2592 | + | 26.8116i | −1.02305 | + | 0.970644i | ||||
\(764\) | −2.57508 | − | 4.46016i | −0.0931630 | − | 0.161363i | ||||
\(765\) | −1.41909 | − | 0.643722i | −0.0513072 | − | 0.0232738i | ||||
\(766\) | −1.36610 | − | 2.36616i | −0.0493593 | − | 0.0854928i | ||||
\(767\) | 1.10803 | + | 6.28397i | 0.0400088 | + | 0.226901i | ||||
\(768\) | 1.53214 | − | 0.807807i | 0.0552863 | − | 0.0291492i | ||||
\(769\) |