Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(43,378)]
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([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.u (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: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 85.2 | ||
Character | \(\chi\) | \(=\) | 378.85 |
Dual form | 378.2.u.c.169.2 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.939693 | + | 0.342020i | 0.664463 | + | 0.241845i | ||||
\(3\) | −0.0350640 | + | 1.73170i | −0.0202442 | + | 0.999795i | ||||
\(4\) | 0.766044 | + | 0.642788i | 0.383022 | + | 0.321394i | ||||
\(5\) | −0.00462235 | + | 0.0262146i | −0.00206718 | + | 0.0117235i | −0.985824 | − | 0.167783i | \(-0.946339\pi\) |
0.983757 | + | 0.179507i | \(0.0574502\pi\) | |||||||
\(6\) | −0.625224 | + | 1.61527i | −0.255247 | + | 0.659431i | ||||
\(7\) | −0.766044 | + | 0.642788i | −0.289538 | + | 0.242951i | ||||
\(8\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | ||||
\(9\) | −2.99754 | − | 0.121440i | −0.999180 | − | 0.0404801i | ||||
\(10\) | −0.0133095 | + | 0.0230528i | −0.00420884 | + | 0.00728992i | ||||
\(11\) | 0.928690 | + | 5.26686i | 0.280010 | + | 1.58802i | 0.722582 | + | 0.691285i | \(0.242955\pi\) |
−0.442572 | + | 0.896733i | \(0.645934\pi\) | |||||||
\(12\) | −1.13997 | + | 1.30402i | −0.329082 | + | 0.376437i | ||||
\(13\) | −2.00735 | + | 0.730617i | −0.556740 | + | 0.202637i | −0.605038 | − | 0.796196i | \(-0.706842\pi\) |
0.0482987 | + | 0.998833i | \(0.484620\pi\) | |||||||
\(14\) | −0.939693 | + | 0.342020i | −0.251143 | + | 0.0914087i | ||||
\(15\) | −0.0452337 | − | 0.00892369i | −0.0116793 | − | 0.00230409i | ||||
\(16\) | 0.173648 | + | 0.984808i | 0.0434120 | + | 0.246202i | ||||
\(17\) | 3.97681 | − | 6.88804i | 0.964519 | − | 1.67060i | 0.253617 | − | 0.967305i | \(-0.418380\pi\) |
0.710902 | − | 0.703291i | \(-0.248287\pi\) | |||||||
\(18\) | −2.77523 | − | 1.13934i | −0.654128 | − | 0.268544i | ||||
\(19\) | 1.24288 | + | 2.15274i | 0.285137 | + | 0.493872i | 0.972642 | − | 0.232307i | \(-0.0746275\pi\) |
−0.687505 | + | 0.726179i | \(0.741294\pi\) | |||||||
\(20\) | −0.0203914 | + | 0.0171104i | −0.00455965 | + | 0.00382600i | ||||
\(21\) | −1.08625 | − | 1.34909i | −0.237040 | − | 0.294397i | ||||
\(22\) | −0.928690 | + | 5.26686i | −0.197997 | + | 1.12290i | ||||
\(23\) | 0.588710 | + | 0.493987i | 0.122755 | + | 0.103003i | 0.702098 | − | 0.712080i | \(-0.252247\pi\) |
−0.579344 | + | 0.815083i | \(0.696691\pi\) | |||||||
\(24\) | −1.51722 | + | 0.835482i | −0.309702 | + | 0.170542i | ||||
\(25\) | 4.69780 | + | 1.70986i | 0.939559 | + | 0.341972i | ||||
\(26\) | −2.13618 | −0.418940 | ||||||||
\(27\) | 0.315404 | − | 5.18657i | 0.0606994 | − | 0.998156i | ||||
\(28\) | −1.00000 | −0.188982 | ||||||||
\(29\) | −5.00127 | − | 1.82031i | −0.928713 | − | 0.338024i | −0.167013 | − | 0.985955i | \(-0.553412\pi\) |
−0.761699 | + | 0.647931i | \(0.775635\pi\) | |||||||
\(30\) | −0.0394537 | − | 0.0238563i | −0.00720322 | − | 0.00435555i | ||||
\(31\) | −1.09812 | − | 0.921435i | −0.197229 | − | 0.165495i | 0.538825 | − | 0.842418i | \(-0.318868\pi\) |
−0.736054 | + | 0.676923i | \(0.763313\pi\) | |||||||
\(32\) | −0.173648 | + | 0.984808i | −0.0306970 | + | 0.174091i | ||||
\(33\) | −9.15316 | + | 1.42353i | −1.59336 | + | 0.247805i | ||||
\(34\) | 6.09283 | − | 5.11249i | 1.04491 | − | 0.876785i | ||||
\(35\) | −0.0133095 | − | 0.0230528i | −0.00224972 | − | 0.00389663i | ||||
\(36\) | −2.21819 | − | 2.01981i | −0.369698 | − | 0.336635i | ||||
\(37\) | −2.77985 | + | 4.81485i | −0.457005 | + | 0.791556i | −0.998801 | − | 0.0489538i | \(-0.984411\pi\) |
0.541796 | + | 0.840510i | \(0.317745\pi\) | |||||||
\(38\) | 0.431649 | + | 2.44800i | 0.0700227 | + | 0.397119i | ||||
\(39\) | −1.19482 | − | 3.50174i | −0.191324 | − | 0.560728i | ||||
\(40\) | −0.0250137 | + | 0.00910424i | −0.00395501 | + | 0.00143951i | ||||
\(41\) | 9.08987 | − | 3.30844i | 1.41960 | − | 0.516692i | 0.485668 | − | 0.874144i | \(-0.338577\pi\) |
0.933932 | + | 0.357452i | \(0.116354\pi\) | |||||||
\(42\) | −0.559325 | − | 1.63925i | −0.0863058 | − | 0.252942i | ||||
\(43\) | −0.277141 | − | 1.57175i | −0.0422636 | − | 0.239689i | 0.956357 | − | 0.292202i | \(-0.0943880\pi\) |
−0.998620 | + | 0.0525131i | \(0.983277\pi\) | |||||||
\(44\) | −2.67406 | + | 4.63160i | −0.403129 | + | 0.698240i | ||||
\(45\) | 0.0170392 | − | 0.0780181i | 0.00254005 | − | 0.0116302i | ||||
\(46\) | 0.384253 | + | 0.665547i | 0.0566551 | + | 0.0981295i | ||||
\(47\) | 5.11612 | − | 4.29293i | 0.746263 | − | 0.626189i | −0.188249 | − | 0.982121i | \(-0.560281\pi\) |
0.934512 | + | 0.355933i | \(0.115837\pi\) | |||||||
\(48\) | −1.71148 | + | 0.266175i | −0.247030 | + | 0.0384190i | ||||
\(49\) | 0.173648 | − | 0.984808i | 0.0248069 | − | 0.140687i | ||||
\(50\) | 3.82968 | + | 3.21348i | 0.541598 | + | 0.454455i | ||||
\(51\) | 11.7886 | + | 7.12815i | 1.65073 | + | 0.998141i | ||||
\(52\) | −2.00735 | − | 0.730617i | −0.278370 | − | 0.101318i | ||||
\(53\) | 6.91611 | 0.950000 | 0.475000 | − | 0.879986i | \(-0.342448\pi\) | ||||
0.475000 | + | 0.879986i | \(0.342448\pi\) | |||||||
\(54\) | 2.07029 | − | 4.76591i | 0.281731 | − | 0.648558i | ||||
\(55\) | −0.142361 | −0.0191960 | ||||||||
\(56\) | −0.939693 | − | 0.342020i | −0.125572 | − | 0.0457044i | ||||
\(57\) | −3.77147 | + | 2.07681i | −0.499543 | + | 0.275081i | ||||
\(58\) | −4.07707 | − | 3.42107i | −0.535346 | − | 0.449209i | ||||
\(59\) | 1.56166 | − | 8.85661i | 0.203311 | − | 1.15303i | −0.696765 | − | 0.717299i | \(-0.745378\pi\) |
0.900076 | − | 0.435733i | \(-0.143511\pi\) | |||||||
\(60\) | −0.0289150 | − | 0.0359116i | −0.00373291 | − | 0.00463617i | ||||
\(61\) | −3.41996 | + | 2.86969i | −0.437881 | + | 0.367426i | −0.834916 | − | 0.550378i | \(-0.814484\pi\) |
0.397035 | + | 0.917804i | \(0.370039\pi\) | |||||||
\(62\) | −0.716749 | − | 1.24145i | −0.0910272 | − | 0.157664i | ||||
\(63\) | 2.37431 | − | 1.83375i | 0.299135 | − | 0.231031i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −0.00987417 | − | 0.0559992i | −0.00122474 | − | 0.00694584i | ||||
\(66\) | −9.08804 | − | 1.79289i | −1.11866 | − | 0.220689i | ||||
\(67\) | 0.133891 | − | 0.0487322i | 0.0163573 | − | 0.00595358i | −0.333829 | − | 0.942634i | \(-0.608341\pi\) |
0.350186 | + | 0.936680i | \(0.386118\pi\) | |||||||
\(68\) | 7.47396 | − | 2.72030i | 0.906351 | − | 0.329885i | ||||
\(69\) | −0.876077 | + | 1.00215i | −0.105467 | + | 0.120644i | ||||
\(70\) | −0.00462235 | − | 0.0262146i | −0.000552476 | − | 0.00313325i | ||||
\(71\) | 2.49128 | − | 4.31503i | 0.295661 | − | 0.512100i | −0.679477 | − | 0.733696i | \(-0.737793\pi\) |
0.975138 | + | 0.221596i | \(0.0711267\pi\) | |||||||
\(72\) | −1.39360 | − | 2.65667i | −0.164237 | − | 0.313091i | ||||
\(73\) | −4.79657 | − | 8.30791i | −0.561397 | − | 0.972367i | −0.997375 | − | 0.0724103i | \(-0.976931\pi\) |
0.435978 | − | 0.899957i | \(-0.356402\pi\) | |||||||
\(74\) | −4.25898 | + | 3.57371i | −0.495097 | + | 0.415436i | ||||
\(75\) | −3.12568 | + | 8.07520i | −0.360922 | + | 0.932444i | ||||
\(76\) | −0.431649 | + | 2.44800i | −0.0495136 | + | 0.280805i | ||||
\(77\) | −4.09689 | − | 3.43770i | −0.466884 | − | 0.391762i | ||||
\(78\) | 0.0749030 | − | 3.69922i | 0.00848110 | − | 0.418854i | ||||
\(79\) | 15.9224 | + | 5.79528i | 1.79141 | + | 0.652020i | 0.999123 | + | 0.0418706i | \(0.0133317\pi\) |
0.792287 | + | 0.610149i | \(0.208890\pi\) | |||||||
\(80\) | −0.0266190 | −0.00297610 | ||||||||
\(81\) | 8.97050 | + | 0.728045i | 0.996723 | + | 0.0808939i | ||||
\(82\) | 9.67324 | 1.06823 | ||||||||
\(83\) | 6.84689 | + | 2.49206i | 0.751544 | + | 0.273540i | 0.689255 | − | 0.724519i | \(-0.257938\pi\) |
0.0622886 | + | 0.998058i | \(0.480160\pi\) | |||||||
\(84\) | 0.0350640 | − | 1.73170i | 0.00382580 | − | 0.188944i | ||||
\(85\) | 0.162185 | + | 0.136090i | 0.0175915 | + | 0.0147610i | ||||
\(86\) | 0.277141 | − | 1.57175i | 0.0298849 | − | 0.169486i | ||||
\(87\) | 3.32759 | − | 8.59685i | 0.356756 | − | 0.921679i | ||||
\(88\) | −4.09689 | + | 3.43770i | −0.436730 | + | 0.366460i | ||||
\(89\) | −5.05312 | − | 8.75226i | −0.535630 | − | 0.927738i | −0.999133 | − | 0.0416426i | \(-0.986741\pi\) |
0.463503 | − | 0.886095i | \(-0.346592\pi\) | |||||||
\(90\) | 0.0426953 | − | 0.0674853i | 0.00450048 | − | 0.00711357i | ||||
\(91\) | 1.06809 | − | 1.84999i | 0.111966 | − | 0.193931i | ||||
\(92\) | 0.133450 | + | 0.756832i | 0.0139131 | + | 0.0789051i | ||||
\(93\) | 1.63415 | − | 1.86931i | 0.169453 | − | 0.193838i | ||||
\(94\) | 6.27585 | − | 2.28422i | 0.647304 | − | 0.235600i | ||||
\(95\) | −0.0621783 | + | 0.0226310i | −0.00637936 | + | 0.00232190i | ||||
\(96\) | −1.69930 | − | 0.335237i | −0.173434 | − | 0.0342150i | ||||
\(97\) | −0.308063 | − | 1.74711i | −0.0312791 | − | 0.177392i | 0.965166 | − | 0.261639i | \(-0.0842629\pi\) |
−0.996445 | + | 0.0842462i | \(0.973152\pi\) | |||||||
\(98\) | 0.500000 | − | 0.866025i | 0.0505076 | − | 0.0874818i | ||||
\(99\) | −2.14418 | − | 15.9004i | −0.215498 | − | 1.59805i | ||||
\(100\) | 2.49965 | + | 4.32951i | 0.249965 | + | 0.432951i | ||||
\(101\) | −13.9285 | + | 11.6874i | −1.38594 | + | 1.16294i | −0.418989 | + | 0.907992i | \(0.637615\pi\) |
−0.966954 | + | 0.254952i | \(0.917940\pi\) | |||||||
\(102\) | 8.63964 | + | 10.7302i | 0.855452 | + | 1.06245i | ||||
\(103\) | −3.36639 | + | 19.0918i | −0.331700 | + | 1.88117i | 0.125954 | + | 0.992036i | \(0.459801\pi\) |
−0.457654 | + | 0.889130i | \(0.651310\pi\) | |||||||
\(104\) | −1.63641 | − | 1.37311i | −0.160463 | − | 0.134645i | ||||
\(105\) | 0.0403870 | − | 0.0222397i | 0.00394137 | − | 0.00217037i | ||||
\(106\) | 6.49901 | + | 2.36545i | 0.631240 | + | 0.229753i | ||||
\(107\) | −1.80055 | −0.174066 | −0.0870328 | − | 0.996205i | \(-0.527739\pi\) | ||||
−0.0870328 | + | 0.996205i | \(0.527739\pi\) | |||||||
\(108\) | 3.57548 | − | 3.77041i | 0.344050 | − | 0.362808i | ||||
\(109\) | −18.7857 | −1.79935 | −0.899673 | − | 0.436565i | \(-0.856195\pi\) | ||||
−0.899673 | + | 0.436565i | \(0.856195\pi\) | |||||||
\(110\) | −0.133776 | − | 0.0486905i | −0.0127550 | − | 0.00464246i | ||||
\(111\) | −8.24038 | − | 4.98269i | −0.782142 | − | 0.472936i | ||||
\(112\) | −0.766044 | − | 0.642788i | −0.0723844 | − | 0.0607377i | ||||
\(113\) | 2.71817 | − | 15.4155i | 0.255704 | − | 1.45017i | −0.538555 | − | 0.842590i | \(-0.681030\pi\) |
0.794259 | − | 0.607579i | \(-0.207859\pi\) | |||||||
\(114\) | −4.25433 | + | 0.661648i | −0.398455 | + | 0.0619690i | ||||
\(115\) | −0.0156709 | + | 0.0131494i | −0.00146132 | + | 0.00122619i | ||||
\(116\) | −2.66112 | − | 4.60920i | −0.247079 | − | 0.427953i | ||||
\(117\) | 6.10585 | − | 1.94628i | 0.564486 | − | 0.179934i | ||||
\(118\) | 4.49662 | − | 7.78837i | 0.413947 | − | 0.716978i | ||||
\(119\) | 1.38113 | + | 7.83279i | 0.126608 | + | 0.718031i | ||||
\(120\) | −0.0148887 | − | 0.0436354i | −0.00135915 | − | 0.00398334i | ||||
\(121\) | −16.5407 | + | 6.02034i | −1.50370 | + | 0.547303i | ||||
\(122\) | −4.19520 | + | 1.52693i | −0.379816 | + | 0.138242i | ||||
\(123\) | 5.41049 | + | 15.8569i | 0.487847 | + | 1.42977i | ||||
\(124\) | −0.248924 | − | 1.41172i | −0.0223541 | − | 0.126776i | ||||
\(125\) | −0.133086 | + | 0.230511i | −0.0119035 | + | 0.0206175i | ||||
\(126\) | 2.85830 | − | 0.911103i | 0.254638 | − | 0.0811675i | ||||
\(127\) | 0.950232 | + | 1.64585i | 0.0843194 | + | 0.146046i | 0.905101 | − | 0.425197i | \(-0.139795\pi\) |
−0.820782 | + | 0.571242i | \(0.806462\pi\) | |||||||
\(128\) | −0.766044 | + | 0.642788i | −0.0677094 | + | 0.0568149i | ||||
\(129\) | 2.73150 | − | 0.424812i | 0.240495 | − | 0.0374027i | ||||
\(130\) | 0.00987417 | − | 0.0559992i | 0.000866022 | − | 0.00491145i | ||||
\(131\) | −12.0324 | − | 10.0964i | −1.05127 | − | 0.882123i | −0.0580459 | − | 0.998314i | \(-0.518487\pi\) |
−0.993227 | + | 0.116191i | \(0.962931\pi\) | |||||||
\(132\) | −7.92676 | − | 4.79305i | −0.689936 | − | 0.417182i | ||||
\(133\) | −2.33586 | − | 0.850183i | −0.202545 | − | 0.0737202i | ||||
\(134\) | 0.142483 | 0.0123087 | ||||||||
\(135\) | 0.134506 | + | 0.0322423i | 0.0115764 | + | 0.00277498i | ||||
\(136\) | 7.95363 | 0.682018 | ||||||||
\(137\) | 16.3315 | + | 5.94417i | 1.39529 | + | 0.507845i | 0.926777 | − | 0.375611i | \(-0.122567\pi\) |
0.468515 | + | 0.883456i | \(0.344789\pi\) | |||||||
\(138\) | −1.16600 | + | 0.642073i | −0.0992563 | + | 0.0546569i | ||||
\(139\) | −7.30717 | − | 6.13144i | −0.619786 | − | 0.520062i | 0.277950 | − | 0.960595i | \(-0.410345\pi\) |
−0.897736 | + | 0.440533i | \(0.854789\pi\) | |||||||
\(140\) | 0.00462235 | − | 0.0262146i | 0.000390659 | − | 0.00221554i | ||||
\(141\) | 7.25466 | + | 9.01009i | 0.610953 | + | 0.758786i | ||||
\(142\) | 3.81687 | − | 3.20273i | 0.320305 | − | 0.268767i | ||||
\(143\) | −5.71227 | − | 9.89394i | −0.477684 | − | 0.827372i | ||||
\(144\) | −0.400922 | − | 2.97309i | −0.0334102 | − | 0.247757i | ||||
\(145\) | 0.0708364 | − | 0.122692i | 0.00588265 | − | 0.0101890i | ||||
\(146\) | −1.66583 | − | 9.44741i | −0.137865 | − | 0.781873i | ||||
\(147\) | 1.69930 | + | 0.335237i | 0.140156 | + | 0.0276499i | ||||
\(148\) | −5.22442 | + | 1.90153i | −0.429444 | + | 0.156305i | ||||
\(149\) | −0.103731 | + | 0.0377550i | −0.00849797 | + | 0.00309301i | −0.346266 | − | 0.938137i | \(-0.612550\pi\) |
0.337768 | + | 0.941230i | \(0.390328\pi\) | |||||||
\(150\) | −5.69906 | + | 6.51916i | −0.465326 | + | 0.532287i | ||||
\(151\) | −0.858247 | − | 4.86736i | −0.0698431 | − | 0.396100i | −0.999609 | − | 0.0279496i | \(-0.991102\pi\) |
0.929766 | − | 0.368151i | \(-0.120009\pi\) | |||||||
\(152\) | −1.24288 | + | 2.15274i | −0.100811 | + | 0.174610i | ||||
\(153\) | −12.7571 | + | 20.1642i | −1.03135 | + | 1.63018i | ||||
\(154\) | −2.67406 | − | 4.63160i | −0.215482 | − | 0.373225i | ||||
\(155\) | 0.0292310 | − | 0.0245277i | 0.00234789 | − | 0.00197011i | ||||
\(156\) | 1.33559 | − | 3.45051i | 0.106933 | − | 0.276262i | ||||
\(157\) | −0.902117 | + | 5.11616i | −0.0719968 | + | 0.408314i | 0.927415 | + | 0.374033i | \(0.122025\pi\) |
−0.999412 | + | 0.0342812i | \(0.989086\pi\) | |||||||
\(158\) | 12.9801 | + | 10.8916i | 1.03264 | + | 0.866486i | ||||
\(159\) | −0.242506 | + | 11.9766i | −0.0192320 | + | 0.949806i | ||||
\(160\) | −0.0250137 | − | 0.00910424i | −0.00197751 | − | 0.000719754i | ||||
\(161\) | −0.768507 | −0.0605668 | ||||||||
\(162\) | 8.18051 | + | 3.75223i | 0.642722 | + | 0.294803i | ||||
\(163\) | 3.23832 | 0.253645 | 0.126823 | − | 0.991925i | \(-0.459522\pi\) | ||||
0.126823 | + | 0.991925i | \(0.459522\pi\) | |||||||
\(164\) | 9.08987 | + | 3.30844i | 0.709800 | + | 0.258346i | ||||
\(165\) | 0.00499176 | − | 0.246527i | 0.000388608 | − | 0.0191921i | ||||
\(166\) | 5.58164 | + | 4.68355i | 0.433219 | + | 0.363514i | ||||
\(167\) | 0.139354 | − | 0.790316i | 0.0107835 | − | 0.0611565i | −0.978941 | − | 0.204143i | \(-0.934559\pi\) |
0.989725 | + | 0.142986i | \(0.0456705\pi\) | |||||||
\(168\) | 0.625224 | − | 1.61527i | 0.0482371 | − | 0.124621i | ||||
\(169\) | −6.46291 | + | 5.42303i | −0.497147 | + | 0.417156i | ||||
\(170\) | 0.105859 | + | 0.183353i | 0.00811901 | + | 0.0140625i | ||||
\(171\) | −3.46417 | − | 6.60386i | −0.264911 | − | 0.505010i | ||||
\(172\) | 0.797996 | − | 1.38217i | 0.0608466 | − | 0.105389i | ||||
\(173\) | 2.15915 | + | 12.2451i | 0.164157 | + | 0.930979i | 0.949930 | + | 0.312464i | \(0.101154\pi\) |
−0.785773 | + | 0.618515i | \(0.787734\pi\) | |||||||
\(174\) | 6.06721 | − | 6.94029i | 0.459954 | − | 0.526142i | ||||
\(175\) | −4.69780 | + | 1.70986i | −0.355120 | + | 0.129253i | ||||
\(176\) | −5.02558 | + | 1.82916i | −0.378817 | + | 0.137878i | ||||
\(177\) | 15.2822 | + | 3.01487i | 1.14868 | + | 0.226611i | ||||
\(178\) | −1.75493 | − | 9.95271i | −0.131538 | − | 0.745987i | ||||
\(179\) | −9.05376 | + | 15.6816i | −0.676710 | + | 1.17210i | 0.299256 | + | 0.954173i | \(0.403262\pi\) |
−0.975966 | + | 0.217923i | \(0.930072\pi\) | |||||||
\(180\) | 0.0632018 | − | 0.0488127i | 0.00471079 | − | 0.00363829i | ||||
\(181\) | −5.40975 | − | 9.36997i | −0.402104 | − | 0.696464i | 0.591876 | − | 0.806029i | \(-0.298388\pi\) |
−0.993980 | + | 0.109565i | \(0.965054\pi\) | |||||||
\(182\) | 1.63641 | − | 1.37311i | 0.121299 | − | 0.101782i | ||||
\(183\) | −4.84951 | − | 6.02295i | −0.358486 | − | 0.445229i | ||||
\(184\) | −0.133450 | + | 0.756832i | −0.00983805 | + | 0.0557944i | ||||
\(185\) | −0.113370 | − | 0.0951287i | −0.00833513 | − | 0.00699400i | ||||
\(186\) | 2.17494 | − | 1.19766i | 0.159474 | − | 0.0878168i | ||||
\(187\) | 39.9716 | + | 14.5485i | 2.92301 | + | 1.06389i | ||||
\(188\) | 6.67862 | 0.487088 | ||||||||
\(189\) | 3.09225 | + | 4.17588i | 0.224928 | + | 0.303751i | ||||
\(190\) | −0.0661687 | −0.00480038 | ||||||||
\(191\) | −12.0818 | − | 4.39743i | −0.874210 | − | 0.318187i | −0.134339 | − | 0.990935i | \(-0.542891\pi\) |
−0.739871 | + | 0.672749i | \(0.765113\pi\) | |||||||
\(192\) | −1.48216 | − | 0.896214i | −0.106966 | − | 0.0646787i | ||||
\(193\) | −4.90519 | − | 4.11594i | −0.353083 | − | 0.296272i | 0.448944 | − | 0.893560i | \(-0.351800\pi\) |
−0.802027 | + | 0.597288i | \(0.796245\pi\) | |||||||
\(194\) | 0.308063 | − | 1.74711i | 0.0221176 | − | 0.125435i | ||||
\(195\) | 0.0973198 | − | 0.0151355i | 0.00696921 | − | 0.00108388i | ||||
\(196\) | 0.766044 | − | 0.642788i | 0.0547175 | − | 0.0459134i | ||||
\(197\) | −10.7359 | − | 18.5951i | −0.764899 | − | 1.32484i | −0.940300 | − | 0.340347i | \(-0.889455\pi\) |
0.175401 | − | 0.984497i | \(-0.443878\pi\) | |||||||
\(198\) | 3.42339 | − | 15.6749i | 0.243290 | − | 1.11396i | ||||
\(199\) | −1.44436 | + | 2.50171i | −0.102388 | + | 0.177341i | −0.912668 | − | 0.408702i | \(-0.865982\pi\) |
0.810280 | + | 0.586043i | \(0.199315\pi\) | |||||||
\(200\) | 0.868118 | + | 4.92334i | 0.0613852 | + | 0.348133i | ||||
\(201\) | 0.0796946 | + | 0.233566i | 0.00562122 | + | 0.0164745i | ||||
\(202\) | −17.0859 | + | 6.21876i | −1.20216 | + | 0.437550i | ||||
\(203\) | 5.00127 | − | 1.82031i | 0.351020 | − | 0.127761i | ||||
\(204\) | 4.44867 | + | 13.0380i | 0.311469 | + | 0.912844i | ||||
\(205\) | 0.0447130 | + | 0.253580i | 0.00312289 | + | 0.0177108i | ||||
\(206\) | −9.69314 | + | 16.7890i | −0.675353 | + | 1.16975i | ||||
\(207\) | −1.70469 | − | 1.55224i | −0.118484 | − | 0.107888i | ||||
\(208\) | −1.06809 | − | 1.84999i | −0.0740588 | − | 0.128274i | ||||
\(209\) | −10.1839 | + | 8.54532i | −0.704437 | + | 0.591092i | ||||
\(210\) | 0.0455578 | − | 0.00708531i | 0.00314379 | − | 0.000488933i | ||||
\(211\) | 2.69436 | − | 15.2805i | 0.185488 | − | 1.05195i | −0.739840 | − | 0.672783i | \(-0.765099\pi\) |
0.925327 | − | 0.379169i | \(-0.123790\pi\) | |||||||
\(212\) | 5.29805 | + | 4.44559i | 0.363871 | + | 0.305324i | ||||
\(213\) | 7.38497 | + | 4.46545i | 0.506010 | + | 0.305968i | ||||
\(214\) | −1.69196 | − | 0.615824i | −0.115660 | − | 0.0420969i | ||||
\(215\) | 0.0424838 | 0.00289737 | ||||||||
\(216\) | 4.64940 | − | 2.32014i | 0.316352 | − | 0.157865i | ||||
\(217\) | 1.43350 | 0.0973122 | ||||||||
\(218\) | −17.6528 | − | 6.42509i | −1.19560 | − | 0.435162i | ||||
\(219\) | 14.5550 | − | 8.01490i | 0.983533 | − | 0.541597i | ||||
\(220\) | −0.109055 | − | 0.0915082i | −0.00735250 | − | 0.00616948i | ||||
\(221\) | −2.95035 | + | 16.7323i | −0.198462 | + | 1.12553i | ||||
\(222\) | −6.03925 | − | 7.50057i | −0.405328 | − | 0.503406i | ||||
\(223\) | −1.29879 | + | 1.08982i | −0.0869737 | + | 0.0729796i | −0.685238 | − | 0.728319i | \(-0.740302\pi\) |
0.598264 | + | 0.801299i | \(0.295857\pi\) | |||||||
\(224\) | −0.500000 | − | 0.866025i | −0.0334077 | − | 0.0578638i | ||||
\(225\) | −13.8742 | − | 5.69587i | −0.924946 | − | 0.379725i | ||||
\(226\) | 7.82666 | − | 13.5562i | 0.520622 | − | 0.901743i | ||||
\(227\) | 0.490134 | + | 2.77969i | 0.0325314 | + | 0.184495i | 0.996744 | − | 0.0806374i | \(-0.0256956\pi\) |
−0.964212 | + | 0.265132i | \(0.914584\pi\) | |||||||
\(228\) | −4.22406 | − | 0.833322i | −0.279745 | − | 0.0551881i | ||||
\(229\) | 11.2527 | − | 4.09567i | 0.743602 | − | 0.270649i | 0.0576913 | − | 0.998334i | \(-0.481626\pi\) |
0.685911 | + | 0.727685i | \(0.259404\pi\) | |||||||
\(230\) | −0.0192232 | + | 0.00699667i | −0.00126754 | + | 0.000461347i | ||||
\(231\) | 6.09670 | − | 6.97403i | 0.401134 | − | 0.458857i | ||||
\(232\) | −0.924197 | − | 5.24138i | −0.0606765 | − | 0.344114i | ||||
\(233\) | −8.55121 | + | 14.8111i | −0.560208 | + | 0.970309i | 0.437270 | + | 0.899330i | \(0.355945\pi\) |
−0.997478 | + | 0.0709785i | \(0.977388\pi\) | |||||||
\(234\) | 6.40329 | + | 0.259419i | 0.418596 | + | 0.0169587i | ||||
\(235\) | 0.0888892 | + | 0.153961i | 0.00579849 | + | 0.0100433i | ||||
\(236\) | 6.88922 | − | 5.78074i | 0.448450 | − | 0.376294i | ||||
\(237\) | −10.5940 | + | 27.3695i | −0.688152 | + | 1.77784i | ||||
\(238\) | −1.38113 | + | 7.83279i | −0.0895255 | + | 0.507725i | ||||
\(239\) | 7.46646 | + | 6.26510i | 0.482965 | + | 0.405256i | 0.851497 | − | 0.524359i | \(-0.175695\pi\) |
−0.368532 | + | 0.929615i | \(0.620140\pi\) | |||||||
\(240\) | 0.000933369 | − | 0.0460961i | 6.02487e−5 | − | 0.00297549i | ||||
\(241\) | −11.8880 | − | 4.32689i | −0.765775 | − | 0.278719i | −0.0705472 | − | 0.997508i | \(-0.522475\pi\) |
−0.695228 | + | 0.718789i | \(0.744697\pi\) | |||||||
\(242\) | −17.6023 | −1.13152 | ||||||||
\(243\) | −1.57529 | + | 15.5087i | −0.101055 | + | 0.994881i | ||||
\(244\) | −4.46444 | −0.285806 | ||||||||
\(245\) | 0.0250137 | + | 0.00910424i | 0.00159807 | + | 0.000581649i | ||||
\(246\) | −0.339182 | + | 16.7511i | −0.0216255 | + | 1.06801i | ||||
\(247\) | −4.06774 | − | 3.41324i | −0.258824 | − | 0.217179i | ||||
\(248\) | 0.248924 | − | 1.41172i | 0.0158067 | − | 0.0896443i | ||||
\(249\) | −4.55558 | + | 11.7694i | −0.288698 | + | 0.745852i | ||||
\(250\) | −0.203899 | + | 0.171092i | −0.0128957 | + | 0.0108208i | ||||
\(251\) | 1.29147 | + | 2.23689i | 0.0815167 | + | 0.141191i | 0.903902 | − | 0.427740i | \(-0.140690\pi\) |
−0.822385 | + | 0.568932i | \(0.807357\pi\) | |||||||
\(252\) | 2.99754 | + | 0.121440i | 0.188827 | + | 0.00765002i | ||||
\(253\) | −2.05503 | + | 3.55942i | −0.129199 | + | 0.223779i | ||||
\(254\) | 0.330012 | + | 1.87159i | 0.0207068 | + | 0.117434i | ||||
\(255\) | −0.241353 | + | 0.276084i | −0.0151141 | + | 0.0172890i | ||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | 6.14102 | − | 2.23515i | 0.383067 | − | 0.139425i | −0.143307 | − | 0.989678i | \(-0.545774\pi\) |
0.526373 | + | 0.850253i | \(0.323551\pi\) | |||||||
\(258\) | 2.71207 | + | 0.535036i | 0.168846 | + | 0.0333099i | ||||
\(259\) | −0.965433 | − | 5.47524i | −0.0599891 | − | 0.340215i | ||||
\(260\) | 0.0284315 | − | 0.0492449i | 0.00176325 | − | 0.00305404i | ||||
\(261\) | 14.7705 | + | 6.06382i | 0.914268 | + | 0.375341i | ||||
\(262\) | −7.85357 | − | 13.6028i | −0.485195 | − | 0.840383i | ||||
\(263\) | −11.3127 | + | 9.49246i | −0.697569 | + | 0.585330i | −0.921081 | − | 0.389371i | \(-0.872692\pi\) |
0.223512 | + | 0.974701i | \(0.428248\pi\) | |||||||
\(264\) | −5.80940 | − | 7.21511i | −0.357544 | − | 0.444059i | ||||
\(265\) | −0.0319686 | + | 0.181303i | −0.00196382 | + | 0.0111374i | ||||
\(266\) | −1.90421 | − | 1.59782i | −0.116755 | − | 0.0979687i | ||||
\(267\) | 15.3334 | − | 8.44358i | 0.938391 | − | 0.516739i | ||||
\(268\) | 0.133891 | + | 0.0487322i | 0.00817867 | + | 0.00297679i | ||||
\(269\) | 7.48952 | 0.456644 | 0.228322 | − | 0.973586i | \(-0.426676\pi\) | ||||
0.228322 | + | 0.973586i | \(0.426676\pi\) | |||||||
\(270\) | 0.115367 | + | 0.0763017i | 0.00702100 | + | 0.00464357i | ||||
\(271\) | −17.8871 | −1.08656 | −0.543282 | − | 0.839551i | \(-0.682818\pi\) | ||||
−0.543282 | + | 0.839551i | \(0.682818\pi\) | |||||||
\(272\) | 7.47396 | + | 2.72030i | 0.453176 | + | 0.164942i | ||||
\(273\) | 3.16616 | + | 1.91448i | 0.191625 | + | 0.115869i | ||||
\(274\) | 13.3135 | + | 11.1714i | 0.804300 | + | 0.674888i | ||||
\(275\) | −4.64279 | + | 26.3306i | −0.279971 | + | 1.58779i | ||||
\(276\) | −1.31528 | + | 0.204557i | −0.0791706 | + | 0.0123129i | ||||
\(277\) | 8.00335 | − | 6.71561i | 0.480875 | − | 0.403502i | −0.369868 | − | 0.929084i | \(-0.620597\pi\) |
0.850743 | + | 0.525583i | \(0.176153\pi\) | |||||||
\(278\) | −4.76941 | − | 8.26087i | −0.286050 | − | 0.495454i | ||||
\(279\) | 3.17977 | + | 2.89540i | 0.190368 | + | 0.173343i | ||||
\(280\) | 0.0133095 | − | 0.0230528i | 0.000795395 | − | 0.00137767i | ||||
\(281\) | 3.15309 | + | 17.8821i | 0.188098 | + | 1.06675i | 0.921910 | + | 0.387403i | \(0.126628\pi\) |
−0.733813 | + | 0.679352i | \(0.762261\pi\) | |||||||
\(282\) | 3.73552 | + | 10.9480i | 0.222447 | + | 0.651941i | ||||
\(283\) | 4.95119 | − | 1.80209i | 0.294318 | − | 0.107123i | −0.190641 | − | 0.981660i | \(-0.561057\pi\) |
0.484959 | + | 0.874537i | \(0.338834\pi\) | |||||||
\(284\) | 4.68208 | − | 1.70414i | 0.277831 | − | 0.101122i | ||||
\(285\) | −0.0370099 | − | 0.108467i | −0.00219227 | − | 0.00642505i | ||||
\(286\) | −1.98385 | − | 11.2510i | −0.117307 | − | 0.665284i | ||||
\(287\) | −4.83662 | + | 8.37727i | −0.285497 | + | 0.494495i | ||||
\(288\) | 0.640113 | − | 2.93091i | 0.0377190 | − | 0.172706i | ||||
\(289\) | −23.1301 | − | 40.0625i | −1.36059 | − | 2.35662i | ||||
\(290\) | 0.108528 | − | 0.0910656i | 0.00637297 | − | 0.00534755i | ||||
\(291\) | 3.03627 | − | 0.472211i | 0.177989 | − | 0.0276815i | ||||
\(292\) | 1.66583 | − | 9.44741i | 0.0974855 | − | 0.552868i | ||||
\(293\) | −13.5247 | − | 11.3485i | −0.790119 | − | 0.662988i | 0.155656 | − | 0.987811i | \(-0.450251\pi\) |
−0.945775 | + | 0.324823i | \(0.894695\pi\) | |||||||
\(294\) | 1.48216 | + | 0.896214i | 0.0864414 | + | 0.0522683i | ||||
\(295\) | 0.224954 | + | 0.0818766i | 0.0130973 | + | 0.00476704i | ||||
\(296\) | −5.55971 | −0.323152 | ||||||||
\(297\) | 27.6099 | − | 3.15553i | 1.60209 | − | 0.183102i | ||||
\(298\) | −0.110388 | −0.00639461 | ||||||||
\(299\) | −1.54267 | − | 0.561484i | −0.0892146 | − | 0.0324715i | ||||
\(300\) | −7.58505 | + | 4.17682i | −0.437923 | + | 0.241149i | ||||
\(301\) | 1.22260 | + | 1.02588i | 0.0704695 | + | 0.0591310i | ||||
\(302\) | 0.858247 | − | 4.86736i | 0.0493866 | − | 0.280085i | ||||
\(303\) | −19.7507 | − | 24.5298i | −1.13465 | − | 1.40920i | ||||
\(304\) | −1.90421 | + | 1.59782i | −0.109214 | + | 0.0916413i | ||||
\(305\) | −0.0594195 | − | 0.102918i | −0.00340235 | − | 0.00589305i | ||||
\(306\) | −18.8844 | + | 14.5850i | −1.07955 | + | 0.833768i | ||||
\(307\) | 14.2571 | − | 24.6941i | 0.813697 | − | 1.40936i | −0.0965627 | − | 0.995327i | \(-0.530785\pi\) |
0.910260 | − | 0.414038i | \(-0.135882\pi\) | |||||||
\(308\) | −0.928690 | − | 5.26686i | −0.0529170 | − | 0.300107i | ||||
\(309\) | −32.9431 | − | 6.49900i | −1.87407 | − | 0.369715i | ||||
\(310\) | 0.0358571 | − | 0.0130509i | 0.00203655 | − | 0.000741242i | ||||
\(311\) | 5.13243 | − | 1.86805i | 0.291033 | − | 0.105927i | −0.192378 | − | 0.981321i | \(-0.561620\pi\) |
0.483411 | + | 0.875393i | \(0.339398\pi\) | |||||||
\(312\) | 2.43519 | − | 2.78562i | 0.137865 | − | 0.157705i | ||||
\(313\) | 3.96637 | + | 22.4944i | 0.224193 | + | 1.27146i | 0.864223 | + | 0.503109i | \(0.167811\pi\) |
−0.640030 | + | 0.768350i | \(0.721078\pi\) | |||||||
\(314\) | −2.59754 | + | 4.49908i | −0.146588 | + | 0.253898i | ||||
\(315\) | 0.0370963 | + | 0.0707179i | 0.00209014 | + | 0.00398450i | ||||
\(316\) | 8.47213 | + | 14.6742i | 0.476595 | + | 0.825486i | ||||
\(317\) | 13.0651 | − | 10.9630i | 0.733812 | − | 0.615741i | −0.197356 | − | 0.980332i | \(-0.563235\pi\) |
0.931168 | + | 0.364591i | \(0.118791\pi\) | |||||||
\(318\) | −4.32412 | + | 11.1714i | −0.242484 | + | 0.626460i | ||||
\(319\) | 4.94271 | − | 28.0315i | 0.276739 | − | 1.56946i | ||||
\(320\) | −0.0203914 | − | 0.0171104i | −0.00113991 | − | 0.000956499i | ||||
\(321\) | 0.0631344 | − | 3.11800i | 0.00352382 | − | 0.174030i | ||||
\(322\) | −0.722160 | − | 0.262845i | −0.0402444 | − | 0.0146478i | ||||
\(323\) | 19.7709 | 1.10008 | ||||||||
\(324\) | 6.40383 | + | 6.32384i | 0.355768 | + | 0.351325i | ||||
\(325\) | −10.6794 | −0.592386 | ||||||||
\(326\) | 3.04303 | + | 1.10757i | 0.168538 | + | 0.0613427i | ||||
\(327\) | 0.658702 | − | 32.5311i | 0.0364263 | − | 1.79898i | ||||
\(328\) | 7.41013 | + | 6.21784i | 0.409156 | + | 0.343323i | ||||
\(329\) | −1.15973 | + | 6.57716i | −0.0639380 | + | 0.362610i | ||||
\(330\) | 0.0890079 | − | 0.229952i | 0.00489972 | − | 0.0126584i | ||||
\(331\) | −19.5374 | + | 16.3938i | −1.07387 | + | 0.901087i | −0.995398 | − | 0.0958289i | \(-0.969450\pi\) |
−0.0784760 | + | 0.996916i | \(0.525005\pi\) | |||||||
\(332\) | 3.64315 | + | 6.31013i | 0.199944 | + | 0.346313i | ||||
\(333\) | 8.91744 | − | 14.0951i | 0.488673 | − | 0.772408i | ||||
\(334\) | 0.401254 | − | 0.694992i | 0.0219556 | − | 0.0380283i | ||||
\(335\) | 0.000658607 | 0.00373515i | 3.59836e−5 | 0.000204073i | ||||||
\(336\) | 1.13997 | − | 1.30402i | 0.0621906 | − | 0.0711400i | ||||
\(337\) | 31.5298 | − | 11.4759i | 1.71754 | − | 0.625133i | 0.719918 | − | 0.694059i | \(-0.244179\pi\) |
0.997622 | + | 0.0689255i | \(0.0219571\pi\) | |||||||
\(338\) | −7.92793 | + | 2.88553i | −0.431223 | + | 0.156952i | ||||
\(339\) | 26.5997 | + | 5.24758i | 1.44470 | + | 0.285009i | ||||
\(340\) | 0.0367644 | + | 0.208501i | 0.00199383 | + | 0.0113076i | ||||
\(341\) | 3.83325 | − | 6.63939i | 0.207582 | − | 0.359543i | ||||
\(342\) | −0.996600 | − | 7.39041i | −0.0538899 | − | 0.399628i | ||||
\(343\) | 0.500000 | + | 0.866025i | 0.0269975 | + | 0.0467610i | ||||
\(344\) | 1.22260 | − | 1.02588i | 0.0659182 | − | 0.0553120i | ||||
\(345\) | −0.0222214 | − | 0.0275983i | −0.00119636 | − | 0.00148584i | ||||
\(346\) | −2.15915 | + | 12.2451i | −0.116076 | + | 0.658302i | ||||
\(347\) | 12.7650 | + | 10.7111i | 0.685263 | + | 0.575004i | 0.917539 | − | 0.397646i | \(-0.130173\pi\) |
−0.232276 | + | 0.972650i | \(0.574617\pi\) | |||||||
\(348\) | 8.07504 | − | 4.44663i | 0.432867 | − | 0.238365i | ||||
\(349\) | 25.8171 | + | 9.39666i | 1.38196 | + | 0.502992i | 0.922771 | − | 0.385348i | \(-0.125919\pi\) |
0.459187 | + | 0.888340i | \(0.348141\pi\) | |||||||
\(350\) | −4.99929 | −0.267223 | ||||||||
\(351\) | 3.15627 | + | 10.6417i | 0.168469 | + | 0.568013i | ||||
\(352\) | −5.34811 | −0.285055 | ||||||||
\(353\) | −2.06652 | − | 0.752153i | −0.109990 | − | 0.0400331i | 0.286439 | − | 0.958099i | \(-0.407528\pi\) |
−0.396429 | + | 0.918065i | \(0.629751\pi\) | |||||||
\(354\) | 13.3294 | + | 8.05987i | 0.708451 | + | 0.428377i | ||||
\(355\) | 0.101601 | + | 0.0852537i | 0.00539244 | + | 0.00452479i | ||||
\(356\) | 1.75493 | − | 9.95271i | 0.0930111 | − | 0.527492i | ||||
\(357\) | −13.6124 | + | 2.11705i | −0.720447 | + | 0.112046i | ||||
\(358\) | −13.8712 | + | 11.6393i | −0.733114 | + | 0.615156i | ||||
\(359\) | −2.05136 | − | 3.55306i | −0.108267 | − | 0.187523i | 0.806801 | − | 0.590823i | \(-0.201197\pi\) |
−0.915068 | + | 0.403299i | \(0.867863\pi\) | |||||||
\(360\) | 0.0760852 | − | 0.0242527i | 0.00401004 | − | 0.00127823i | ||||
\(361\) | 6.41048 | − | 11.1033i | 0.337394 | − | 0.584383i | ||||
\(362\) | −1.87879 | − | 10.6551i | −0.0987469 | − | 0.560021i | ||||
\(363\) | −9.84541 | − | 28.8546i | −0.516750 | − | 1.51448i | ||||
\(364\) | 2.00735 | − | 0.730617i | 0.105214 | − | 0.0382947i | ||||
\(365\) | 0.239960 | − | 0.0873384i | 0.0125601 | − | 0.00457150i | ||||
\(366\) | −2.49708 | − | 7.31835i | −0.130524 | − | 0.382536i | ||||
\(367\) | −5.41847 | − | 30.7296i | −0.282842 | − | 1.60407i | −0.712895 | − | 0.701271i | \(-0.752616\pi\) |
0.430053 | − | 0.902803i | \(-0.358495\pi\) | |||||||
\(368\) | −0.384253 | + | 0.665547i | −0.0200306 | + | 0.0346940i | ||||
\(369\) | −27.6490 | + | 8.81331i | −1.43935 | + | 0.458803i | ||||
\(370\) | −0.0739970 | − | 0.128167i | −0.00384692 | − | 0.00666306i | ||||
\(371\) | −5.29805 | + | 4.44559i | −0.275061 | + | 0.230803i | ||||
\(372\) | 2.45340 | − | 0.381561i | 0.127203 | − | 0.0197830i | ||||
\(373\) | −2.09436 | + | 11.8777i | −0.108442 | + | 0.615005i | 0.881347 | + | 0.472469i | \(0.156637\pi\) |
−0.989790 | + | 0.142537i | \(0.954474\pi\) | |||||||
\(374\) | 32.5851 | + | 27.3422i | 1.68494 | + | 1.41383i | ||||
\(375\) | −0.394509 | − | 0.238547i | −0.0203723 | − | 0.0123185i | ||||
\(376\) | 6.27585 | + | 2.28422i | 0.323652 | + | 0.117800i | ||||
\(377\) | 11.3693 | 0.585547 | ||||||||
\(378\) | 1.47753 | + | 4.98166i | 0.0759959 | + | 0.256229i | ||||
\(379\) | 15.8917 | 0.816304 | 0.408152 | − | 0.912914i | \(-0.366173\pi\) | ||||
0.408152 | + | 0.912914i | \(0.366173\pi\) | |||||||
\(380\) | −0.0621783 | − | 0.0226310i | −0.00318968 | − | 0.00116095i | ||||
\(381\) | −2.88343 | + | 1.58780i | −0.147723 | + | 0.0813456i | ||||
\(382\) | −9.84920 | − | 8.26446i | −0.503929 | − | 0.422846i | ||||
\(383\) | 3.92338 | − | 22.2506i | 0.200475 | − | 1.13695i | −0.703927 | − | 0.710272i | \(-0.748572\pi\) |
0.904403 | − | 0.426680i | \(-0.140317\pi\) | |||||||
\(384\) | −1.08625 | − | 1.34909i | −0.0554326 | − | 0.0688457i | ||||
\(385\) | 0.109055 | − | 0.0915082i | 0.00555797 | − | 0.00466369i | ||||
\(386\) | −3.20163 | − | 5.54539i | −0.162959 | − | 0.282253i | ||||
\(387\) | 0.639869 | + | 4.74503i | 0.0325263 | + | 0.241203i | ||||
\(388\) | 0.887032 | − | 1.53639i | 0.0450322 | − | 0.0779981i | ||||
\(389\) | −5.07454 | − | 28.7792i | −0.257290 | − | 1.45916i | −0.790126 | − | 0.612944i | \(-0.789985\pi\) |
0.532837 | − | 0.846218i | \(-0.321126\pi\) | |||||||
\(390\) | 0.0966273 | + | 0.0190626i | 0.00489291 | + | 0.000965273i | ||||
\(391\) | 5.74379 | − | 2.09057i | 0.290476 | − | 0.105725i | ||||
\(392\) | 0.939693 | − | 0.342020i | 0.0474616 | − | 0.0172746i | ||||
\(393\) | 17.9057 | − | 20.4824i | 0.903224 | − | 1.03320i | ||||
\(394\) | −3.72853 | − | 21.1455i | −0.187841 | − | 1.06530i | ||||
\(395\) | −0.225520 | + | 0.390612i | −0.0113471 | + | 0.0196538i | ||||
\(396\) | 8.57805 | − | 13.5587i | 0.431063 | − | 0.681349i | ||||
\(397\) | 8.41941 | + | 14.5829i | 0.422558 | + | 0.731892i | 0.996189 | − | 0.0872217i | \(-0.0277988\pi\) |
−0.573631 | + | 0.819114i | \(0.694466\pi\) | |||||||
\(398\) | −2.21289 | + | 1.85684i | −0.110922 | + | 0.0930748i | ||||
\(399\) | 1.55416 | − | 4.01519i | 0.0778055 | − | 0.201011i | ||||
\(400\) | −0.868118 | + | 4.92334i | −0.0434059 | + | 0.246167i | ||||
\(401\) | −19.0676 | − | 15.9996i | −0.952192 | − | 0.798984i | 0.0274735 | − | 0.999623i | \(-0.491254\pi\) |
−0.979665 | + | 0.200639i | \(0.935698\pi\) | |||||||
\(402\) | −0.00499604 | + | 0.246738i | −0.000249180 | + | 0.0123062i | ||||
\(403\) | 2.87754 | + | 1.04734i | 0.143340 | + | 0.0521716i | ||||
\(404\) | −18.1824 | −0.904610 | ||||||||
\(405\) | −0.0605502 | + | 0.231793i | −0.00300876 | + | 0.0115179i | ||||
\(406\) | 5.32224 | 0.264138 | ||||||||
\(407\) | −27.9408 | − | 10.1696i | −1.38497 | − | 0.504089i | ||||
\(408\) | −0.278886 | + | 13.7733i | −0.0138069 | + | 0.681878i | ||||
\(409\) | −13.9913 | − | 11.7401i | −0.691827 | − | 0.580512i | 0.227608 | − | 0.973753i | \(-0.426909\pi\) |
−0.919435 | + | 0.393241i | \(0.871354\pi\) | |||||||
\(410\) | −0.0447130 | + | 0.253580i | −0.00220822 | + | 0.0125234i | ||||
\(411\) | −10.8661 | + | 28.0727i | −0.535987 | + | 1.38473i | ||||
\(412\) | −14.8507 | + | 12.4613i | −0.731644 | + | 0.613922i | ||||
\(413\) | 4.49662 | + | 7.78837i | 0.221264 | + | 0.383241i | ||||
\(414\) | −1.07099 | − | 2.04167i | −0.0526364 | − | 0.100342i | ||||
\(415\) | −0.0969772 | + | 0.167969i | −0.00476042 | + | 0.00824530i | ||||
\(416\) | −0.370944 | − | 2.10373i | −0.0181870 | − | 0.103144i | ||||
\(417\) | 10.8740 | − | 12.4388i | 0.532502 | − | 0.609130i | ||||
\(418\) | −12.4924 | + | 4.54687i | −0.611025 | + | 0.222395i | ||||
\(419\) | −6.24224 | + | 2.27199i | −0.304953 | + | 0.110994i | −0.489964 | − | 0.871743i | \(-0.662990\pi\) |
0.185011 | + | 0.982736i | \(0.440768\pi\) | |||||||
\(420\) | 0.0452337 | + | 0.00892369i | 0.00220718 | + | 0.000435431i | ||||
\(421\) | −3.00726 | − | 17.0550i | −0.146565 | − | 0.831209i | −0.966098 | − | 0.258177i | \(-0.916878\pi\) |
0.819533 | − | 0.573032i | \(-0.194233\pi\) | |||||||
\(422\) | 7.75811 | − | 13.4374i | 0.377659 | − | 0.654124i | ||||
\(423\) | −15.8571 | + | 12.2469i | −0.770999 | + | 0.595467i | ||||
\(424\) | 3.45805 | + | 5.98952i | 0.167938 | + | 0.290877i | ||||
\(425\) | 30.4598 | − | 25.5588i | 1.47752 | − | 1.23979i | ||||
\(426\) | 5.41233 | + | 6.72196i | 0.262228 | + | 0.325680i | ||||
\(427\) | 0.775242 | − | 4.39662i | 0.0375166 | − | 0.212767i | ||||
\(428\) | −1.37930 | − | 1.15737i | −0.0666710 | − | 0.0559436i | ||||
\(429\) | 17.3336 | − | 9.54499i | 0.836873 | − | 0.460836i | ||||
\(430\) | 0.0399217 | + | 0.0145303i | 0.00192519 | + | 0.000700713i | ||||
\(431\) | −24.9172 | −1.20022 | −0.600109 | − | 0.799918i | \(-0.704876\pi\) | ||||
−0.600109 | + | 0.799918i | \(0.704876\pi\) | |||||||
\(432\) | 5.16254 | − | 0.590027i | 0.248383 | − | 0.0283877i | ||||
\(433\) | 18.2786 | 0.878415 | 0.439208 | − | 0.898386i | \(-0.355259\pi\) | ||||
0.439208 | + | 0.898386i | \(0.355259\pi\) | |||||||
\(434\) | 1.34705 | + | 0.490285i | 0.0646604 | + | 0.0235344i | ||||
\(435\) | 0.209982 | + | 0.126969i | 0.0100679 | + | 0.00608771i | ||||
\(436\) | −14.3907 | − | 12.0752i | −0.689189 | − | 0.578298i | ||||
\(437\) | −0.331725 | + | 1.88131i | −0.0158686 | + | 0.0899952i | ||||
\(438\) | 16.4184 | − | 2.55345i | 0.784504 | − | 0.122009i | ||||
\(439\) | 7.04521 | − | 5.91163i | 0.336250 | − | 0.282147i | −0.458991 | − | 0.888441i | \(-0.651789\pi\) |
0.795241 | + | 0.606294i | \(0.207345\pi\) | |||||||
\(440\) | −0.0711807 | − | 0.123289i | −0.00339341 | − | 0.00587756i | ||||
\(441\) | −0.640113 | + | 2.93091i | −0.0304816 | + | 0.139567i | ||||
\(442\) | −8.49519 | + | 14.7141i | −0.404075 | + | 0.699879i | ||||
\(443\) | 2.42609 | + | 13.7590i | 0.115267 | + | 0.653711i | 0.986618 | + | 0.163050i | \(0.0521333\pi\) |
−0.871351 | + | 0.490660i | \(0.836756\pi\) | |||||||
\(444\) | −3.10969 | − | 9.11378i | −0.147579 | − | 0.432521i | ||||
\(445\) | 0.252795 | − | 0.0920097i | 0.0119836 | − | 0.00436168i | ||||
\(446\) | −1.59321 | + | 0.579880i | −0.0754405 | + | 0.0274581i | ||||
\(447\) | −0.0617429 | − | 0.180954i | −0.00292034 | − | 0.00855884i | ||||
\(448\) | −0.173648 | − | 0.984808i | −0.00820411 | − | 0.0465278i | ||||
\(449\) | 16.9964 | − | 29.4386i | 0.802110 | − | 1.38930i | −0.116115 | − | 0.993236i | \(-0.537044\pi\) |
0.918225 | − | 0.396060i | \(-0.129623\pi\) | |||||||
\(450\) | −11.0894 | − | 10.0976i | −0.522758 | − | 0.476007i | ||||
\(451\) | 25.8668 | + | 44.8026i | 1.21802 | + | 2.10967i | ||||
\(452\) | 11.9911 | − | 10.0618i | 0.564016 | − | 0.473265i | ||||
\(453\) | 8.45888 | − | 1.31555i | 0.397433 | − | 0.0618101i | ||||
\(454\) | −0.490134 | + | 2.77969i | −0.0230031 | + | 0.130457i | ||||
\(455\) | 0.0435596 | + | 0.0365509i | 0.00204211 | + | 0.00171353i | ||||
\(456\) | −3.68431 | − | 2.22778i | −0.172534 | − | 0.104325i | ||||
\(457\) | −12.5120 | − | 4.55399i | −0.585286 | − | 0.213027i | 0.0323688 | − | 0.999476i | \(-0.489695\pi\) |
−0.617655 | + | 0.786449i | \(0.711917\pi\) | |||||||
\(458\) | 11.9749 | 0.559551 | ||||||||
\(459\) | −34.4710 | − | 22.7985i | −1.60897 | − | 1.06414i | ||||
\(460\) | −0.0204569 | −0.000953808 | ||||||||
\(461\) | 34.8123 | + | 12.6706i | 1.62137 | + | 0.590130i | 0.983642 | − | 0.180132i | \(-0.0576526\pi\) |
0.637727 | + | 0.770263i | \(0.279875\pi\) | |||||||
\(462\) | 8.11428 | − | 4.46825i | 0.377511 | − | 0.207882i | ||||
\(463\) | 28.4183 | + | 23.8458i | 1.32071 | + | 1.10821i | 0.986154 | + | 0.165833i | \(0.0530312\pi\) |
0.334557 | + | 0.942375i | \(0.391413\pi\) | |||||||
\(464\) | 0.924197 | − | 5.24138i | 0.0429048 | − | 0.243325i | ||||
\(465\) | 0.0414496 | + | 0.0514792i | 0.00192218 | + | 0.00238729i | ||||
\(466\) | −13.1012 | + | 10.9932i | −0.606902 | + | 0.509251i | ||||
\(467\) | 0.708607 | + | 1.22734i | 0.0327904 | + | 0.0567946i | 0.881955 | − | 0.471334i | \(-0.156227\pi\) |
−0.849164 | + | 0.528128i | \(0.822894\pi\) | |||||||
\(468\) | 5.92840 | + | 2.43383i | 0.274040 | + | 0.112504i | ||||
\(469\) | −0.0712417 | + | 0.123394i | −0.00328963 | + | 0.00569781i | ||||
\(470\) | 0.0308709 | + | 0.175077i | 0.00142397 | + | 0.00807572i | ||||
\(471\) | −8.82800 | − | 1.74159i | −0.406773 | − | 0.0802480i | ||||
\(472\) | 8.45088 | − | 3.07587i | 0.388983 | − | 0.141578i | ||||
\(473\) | 8.02079 | − | 2.91933i | 0.368796 | − | 0.134231i | ||||
\(474\) | −19.3160 | + | 22.0956i | −0.887213 | + | 1.01488i | ||||
\(475\) | 2.15794 | + | 12.2383i | 0.0990131 | + | 0.561531i | ||||
\(476\) | −3.97681 | + | 6.88804i | −0.182277 | + | 0.315713i | ||||
\(477\) | −20.7313 | − | 0.839894i | −0.949222 | − | 0.0384561i | ||||
\(478\) | 4.87338 | + | 8.44095i | 0.222903 | + | 0.386080i | ||||
\(479\) | −15.0623 | + | 12.6388i | −0.688216 | + | 0.577482i | −0.918394 | − | 0.395667i | \(-0.870513\pi\) |
0.230178 | + | 0.973148i | \(0.426069\pi\) | |||||||
\(480\) | 0.0166429 | − | 0.0429969i | 0.000759639 | − | 0.00196253i | ||||
\(481\) | 2.06234 | − | 11.6961i | 0.0940346 | − | 0.533297i | ||||
\(482\) | −9.69121 | − | 8.13189i | −0.441423 | − | 0.370398i | ||||
\(483\) | 0.0269469 | − | 1.33082i | 0.00122613 | − | 0.0605544i | ||||
\(484\) | −16.5407 | − | 6.02034i | −0.751852 | − | 0.273652i | ||||
\(485\) | 0.0472239 | 0.00214433 | ||||||||
\(486\) | −6.78457 | + | 14.0346i | −0.307754 | + | 0.636622i | ||||
\(487\) | −22.2228 | −1.00701 | −0.503505 | − | 0.863992i | \(-0.667956\pi\) | ||||
−0.503505 | + | 0.863992i | \(0.667956\pi\) | |||||||
\(488\) | −4.19520 | − | 1.52693i | −0.189908 | − | 0.0691208i | ||||
\(489\) | −0.113549 | + | 5.60779i | −0.00513484 | + | 0.253593i | ||||
\(490\) | 0.0203914 | + | 0.0171104i | 0.000921188 | + | 0.000772968i | ||||
\(491\) | −5.56639 | + | 31.5686i | −0.251208 | + | 1.42467i | 0.554415 | + | 0.832240i | \(0.312942\pi\) |
−0.805622 | + | 0.592429i | \(0.798169\pi\) | |||||||
\(492\) | −6.04794 | + | 15.6249i | −0.272662 | + | 0.704424i | ||||
\(493\) | −32.4275 | + | 27.2099i | −1.46046 | + | 1.22547i | ||||
\(494\) | −2.65503 | − | 4.59864i | −0.119455 | − | 0.206903i | ||||
\(495\) | 0.426734 | + | 0.0172884i | 0.0191803 | + | 0.000777057i | ||||
\(496\) | 0.716749 | − | 1.24145i | 0.0321830 | − | 0.0557426i | ||||
\(497\) | 0.865214 | + | 4.90687i | 0.0388102 | + | 0.220103i | ||||
\(498\) | −8.30620 | + | 9.50147i | −0.372210 | + | 0.425771i | ||||
\(499\) | 14.5594 | − | 5.29918i | 0.651767 | − | 0.237224i | 0.00508929 | − | 0.999987i | \(-0.498380\pi\) |
0.646678 | + | 0.762763i | \(0.276158\pi\) | |||||||
\(500\) | −0.250119 | + | 0.0910360i | −0.0111857 | + | 0.00407125i | ||||
\(501\) | 1.36370 | + | 0.269030i | 0.0609256 | + | 0.0120194i | ||||
\(502\) | 0.448522 | + | 2.54370i | 0.0200185 | + | 0.113531i | ||||
\(503\) | −1.72987 | + | 2.99623i | −0.0771313 | + | 0.133595i | −0.902011 | − | 0.431713i | \(-0.857909\pi\) |
0.824880 | + | 0.565308i | \(0.191243\pi\) | |||||||
\(504\) | 2.77523 | + | 1.13934i | 0.123619 | + | 0.0507501i | ||||
\(505\) | −0.241999 | − | 0.419155i | −0.0107688 | − | 0.0186522i | ||||
\(506\) | −3.14849 | + | 2.64190i | −0.139967 | + | 0.117447i | ||||
\(507\) | −9.16442 | − | 11.3819i | −0.407006 | − | 0.505490i | ||||
\(508\) | −0.330012 | + | 1.87159i | −0.0146419 | + | 0.0830384i | ||||
\(509\) | −5.97214 | − | 5.01122i | −0.264711 | − | 0.222118i | 0.500765 | − | 0.865583i | \(-0.333052\pi\) |
−0.765476 | + | 0.643465i | \(0.777496\pi\) | |||||||
\(510\) | −0.321223 | + | 0.176886i | −0.0142240 | + | 0.00783266i | ||||
\(511\) | 9.01461 | + | 3.28105i | 0.398783 | + | 0.145145i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 11.5573 | − | 5.76733i | 0.510269 | − | 0.254634i | ||||
\(514\) | 6.53514 | 0.288253 | ||||||||
\(515\) | −0.484922 | − | 0.176497i | −0.0213682 | − | 0.00777740i | ||||
\(516\) | 2.36552 | + | 1.43035i | 0.104136 | + | 0.0629677i | ||||
\(517\) | 27.3616 | + | 22.9591i | 1.20336 | + | 1.00974i | ||||
\(518\) | 0.965433 | − | 5.47524i | 0.0424187 | − | 0.240568i | ||||
\(519\) | −21.2805 | + | 3.30962i | −0.934112 | + | 0.145276i | ||||
\(520\) | 0.0435596 | − | 0.0365509i | 0.00191022 | − | 0.00160286i | ||||
\(521\) | 6.12318 | + | 10.6057i | 0.268261 | + | 0.464642i | 0.968413 | − | 0.249352i | \(-0.0802176\pi\) |
−0.700152 | + | 0.713994i | \(0.746884\pi\) | |||||||
\(522\) | 11.8057 | + | 10.7499i | 0.516723 | + | 0.470511i | ||||
\(523\) | −11.2522 | + | 19.4894i | −0.492024 | + | 0.852210i | −0.999958 | − | 0.00918602i | \(-0.997076\pi\) |
0.507934 | + | 0.861396i | \(0.330409\pi\) | |||||||
\(524\) | −2.72752 | − | 15.4685i | −0.119152 | − | 0.675745i | ||||
\(525\) | −2.79623 | − | 8.19511i | −0.122038 | − | 0.357664i | ||||
\(526\) | −13.8770 | + | 5.05083i | −0.605068 | + | 0.220227i | ||||
\(527\) | −10.7139 | + | 3.89955i | −0.466705 | + | 0.169867i | ||||
\(528\) | −2.99133 | − | 8.76691i | −0.130181 | − | 0.381531i | ||||
\(529\) | −3.89135 | − | 22.0689i | −0.169189 | − | 0.959519i | ||||
\(530\) | −0.0920500 | + | 0.159435i | −0.00399840 | + | 0.00692543i | ||||
\(531\) | −5.75669 | + | 26.3584i | −0.249819 | + | 1.14386i | ||||
\(532\) | −1.24288 | − | 2.15274i | −0.0538859 | − | 0.0933331i | ||||
\(533\) | −15.8294 | + | 13.2824i | −0.685647 | + | 0.575326i | ||||
\(534\) | 17.2966 | − | 2.69002i | 0.748497 | − | 0.116409i | ||||
\(535\) | 0.00832276 | − | 0.0472007i | 0.000359824 | − | 0.00204066i | ||||
\(536\) | 0.109149 | + | 0.0915865i | 0.00471450 | + | 0.00395594i | ||||
\(537\) | −26.8383 | − | 16.2282i | −1.15816 | − | 0.700300i | ||||
\(538\) | 7.03785 | + | 2.56157i | 0.303423 | + | 0.110437i | ||||
\(539\) | 5.34811 | 0.230359 | ||||||||
\(540\) | 0.0823127 | + | 0.111158i | 0.00354217 | + | 0.00478347i | ||||
\(541\) | −13.4168 | −0.576835 | −0.288417 | − | 0.957505i | \(-0.593129\pi\) | ||||
−0.288417 | + | 0.957505i | \(0.593129\pi\) | |||||||
\(542\) | −16.8084 | − | 6.11774i | −0.721981 | − | 0.262780i | ||||
\(543\) | 16.4156 | − | 9.03950i | 0.704462 | − | 0.387922i | ||||
\(544\) | 6.09283 | + | 5.11249i | 0.261228 | + | 0.219196i | ||||
\(545\) | 0.0868341 | − | 0.492460i | 0.00371956 | − | 0.0210947i | ||||
\(546\) | 2.32043 | + | 2.88191i | 0.0993053 | + | 0.123334i | ||||
\(547\) | 1.56240 | − | 1.31101i | 0.0668032 | − | 0.0560545i | −0.608775 | − | 0.793343i | \(-0.708339\pi\) |
0.675578 | + | 0.737289i | \(0.263894\pi\) | |||||||
\(548\) | 8.68980 | + | 15.0512i | 0.371210 | + | 0.642954i | ||||
\(549\) | 10.6000 | − | 8.18668i | 0.452395 | − | 0.349399i | ||||
\(550\) | −13.3684 | + | 23.1547i | −0.570030 | + | 0.987320i | ||||
\(551\) | −2.29734 | − | 13.0289i | −0.0978700 | − | 0.555048i | ||||
\(552\) | −1.30592 | − | 0.257632i | −0.0555838 | − | 0.0109655i | ||||
\(553\) | −15.9224 | + | 5.79528i | −0.677089 | + | 0.246440i | ||||
\(554\) | 9.81756 | − | 3.57330i | 0.417108 | − | 0.151815i | ||||
\(555\) | 0.168709 | − | 0.192987i | 0.00716131 | − | 0.00819183i | ||||
\(556\) | −1.65640 | − | 9.39391i | −0.0702470 | − | 0.398391i | ||||
\(557\) | 14.0821 | − | 24.3909i | 0.596677 | − | 1.03347i | −0.396631 | − | 0.917978i | \(-0.629821\pi\) |
0.993308 | − | 0.115496i | \(-0.0368458\pi\) | |||||||
\(558\) | 1.99772 | + | 3.80833i | 0.0845704 | + | 0.161219i | ||||
\(559\) | 1.70466 | + | 2.95256i | 0.0720996 | + | 0.124880i | ||||
\(560\) | 0.0203914 | − | 0.0171104i | 0.000861692 | − | 0.000723045i | ||||
\(561\) | −26.5951 | + | 68.7085i | −1.12285 | + | 2.90088i | ||||
\(562\) | −3.15309 | + | 17.8821i | −0.133005 | + | 0.754310i | ||||
\(563\) | −9.52916 | − | 7.99592i | −0.401606 | − | 0.336988i | 0.419508 | − | 0.907752i | \(-0.362203\pi\) |
−0.821114 | + | 0.570764i | \(0.806647\pi\) | |||||||
\(564\) | −0.234179 | + | 11.5653i | −0.00986072 | + | 0.486989i | ||||
\(565\) | 0.391548 | + | 0.142512i | 0.0164725 | + | 0.00599551i | ||||
\(566\) | 5.26895 | 0.221470 | ||||||||
\(567\) | −7.33978 | + | 5.20841i | −0.308242 | + | 0.218733i | ||||
\(568\) | 4.98257 | 0.209064 | ||||||||
\(569\) | 30.6715 | + | 11.1635i | 1.28582 | + | 0.468000i | 0.892352 | − | 0.451340i | \(-0.149054\pi\) |
0.393466 | + | 0.919339i | \(0.371276\pi\) | |||||||
\(570\) | 0.00232014 | − | 0.114584i | 9.71800e−5 | − | 0.00479940i | ||||
\(571\) | 0.620349 | + | 0.520535i | 0.0259608 | + | 0.0217837i | 0.655676 | − | 0.755043i | \(-0.272384\pi\) |
−0.629715 | + | 0.776826i | \(0.716828\pi\) | |||||||
\(572\) | 1.98385 | − | 11.2510i | 0.0829489 | − | 0.470427i | ||||
\(573\) | 8.03864 | − | 20.7679i | 0.335819 | − | 0.867590i | ||||
\(574\) | −7.41013 | + | 6.21784i | −0.309293 | + | 0.259528i | ||||
\(575\) | 1.92100 | + | 3.32726i | 0.0801110 | + | 0.138756i | ||||
\(576\) | 1.60394 | − | 2.53523i | 0.0668309 | − | 0.105634i | ||||
\(577\) | −12.1186 | + | 20.9900i | −0.504503 | + | 0.873825i | 0.495483 | + | 0.868618i | \(0.334991\pi\) |
−0.999986 | + | 0.00520772i | \(0.998342\pi\) | |||||||
\(578\) | −8.03300 | − | 45.5574i | −0.334129 | − | 1.89494i | ||||
\(579\) | 7.29955 | − | 8.34997i | 0.303359 | − | 0.347013i | ||||
\(580\) | 0.133129 | − | 0.0484550i | 0.00552788 | − | 0.00201198i | ||||
\(581\) | −6.84689 | + | 2.49206i | −0.284057 | + | 0.103388i | ||||
\(582\) | 3.01467 | + | 0.594732i | 0.124962 | + | 0.0246524i | ||||
\(583\) | 6.42292 | + | 36.4262i | 0.266010 | + | 1.50862i | ||||
\(584\) | 4.79657 | − | 8.30791i | 0.198484 | − | 0.343784i | ||||
\(585\) | 0.0227977 | + | 0.169059i | 0.000942567 | + | 0.00698973i | ||||
\(586\) | −8.82759 | − | 15.2898i | −0.364664 | − | 0.631617i | ||||
\(587\) | 13.8765 | − | 11.6437i | 0.572744 | − | 0.480589i | −0.309811 | − | 0.950798i | \(-0.600266\pi\) |
0.882555 | + | 0.470209i | \(0.155821\pi\) | |||||||
\(588\) | 1.08625 | + | 1.34909i | 0.0447963 | + | 0.0556357i | ||||
\(589\) | 0.618768 | − | 3.50921i | 0.0254959 | − | 0.144594i | ||||
\(590\) | 0.183384 | + | 0.153878i | 0.00754981 | + | 0.00633505i | ||||
\(591\) | 32.5775 | − | 17.9392i | 1.34006 | − | 0.737922i | ||||
\(592\) | −5.22442 | − | 1.90153i | −0.214722 | − | 0.0781525i | ||||
\(593\) | 0.625124 | 0.0256708 | 0.0128354 | − | 0.999918i | \(-0.495914\pi\) | ||||
0.0128354 | + | 0.999918i | \(0.495914\pi\) | |||||||
\(594\) | 27.0240 | + | 6.47790i | 1.10881 | + | 0.265792i | ||||
\(595\) | −0.211718 | −0.00867958 | ||||||||
\(596\) | −0.103731 | − | 0.0377550i | −0.00424898 | − | 0.00154650i | ||||
\(597\) | −4.28156 | − | 2.58892i | −0.175232 | − | 0.105957i | ||||
\(598\) | −1.25759 | − | 1.05525i | −0.0514268 | − | 0.0431522i | ||||
\(599\) | −6.92945 | + | 39.2989i | −0.283130 | + | 1.60571i | 0.428761 | + | 0.903418i | \(0.358950\pi\) |
−0.711891 | + | 0.702290i | \(0.752161\pi\) | |||||||
\(600\) | −8.55617 | + | 1.33068i | −0.349304 | + | 0.0543249i | ||||
\(601\) | −32.8689 | + | 27.5803i | −1.34075 | + | 1.12502i | −0.359319 | + | 0.933215i | \(0.616991\pi\) |
−0.981432 | + | 0.191809i | \(0.938565\pi\) | |||||||
\(602\) | 0.797996 | + | 1.38217i | 0.0325239 | + | 0.0563330i | ||||
\(603\) | −0.407260 | + | 0.129817i | −0.0165849 | + | 0.00528656i | ||||
\(604\) | 2.47122 | − | 4.28028i | 0.100553 | − | 0.174162i | ||||
\(605\) | −0.0813638 | − | 0.461437i | −0.00330791 | − | 0.0187601i | ||||
\(606\) | −10.1699 | − | 29.8056i | −0.413124 | − | 1.21077i | ||||
\(607\) | −6.14242 | + | 2.23566i | −0.249313 | + | 0.0907426i | −0.463654 | − | 0.886016i | \(-0.653462\pi\) |
0.214341 | + | 0.976759i | \(0.431240\pi\) | |||||||
\(608\) | −2.33586 | + | 0.850183i | −0.0947316 | + | 0.0344795i | ||||
\(609\) | 2.97687 | + | 8.72451i | 0.120629 | + | 0.353535i | ||||
\(610\) | −0.0206362 | − | 0.117034i | −0.000835535 | − | 0.00473855i | ||||
\(611\) | −7.13337 | + | 12.3554i | −0.288585 | + | 0.499844i | ||||
\(612\) | −22.7339 | + | 7.24657i | −0.918962 | + | 0.292925i | ||||
\(613\) | 1.59619 | + | 2.76468i | 0.0644694 | + | 0.111664i | 0.896459 | − | 0.443128i | \(-0.146131\pi\) |
−0.831989 | + | 0.554792i | \(0.812798\pi\) | |||||||
\(614\) | 21.8432 | − | 18.3286i | 0.881519 | − | 0.739682i | ||||
\(615\) | −0.440692 | + | 0.0685379i | −0.0177704 | + | 0.00276371i | ||||
\(616\) | 0.928690 | − | 5.26686i | 0.0374180 | − | 0.212208i | ||||
\(617\) | 12.9875 | + | 10.8978i | 0.522856 | + | 0.438728i | 0.865626 | − | 0.500691i | \(-0.166921\pi\) |
−0.342770 | + | 0.939419i | \(0.611365\pi\) | |||||||
\(618\) | −28.7336 | − | 17.3743i | −1.15583 | − | 0.698895i | ||||
\(619\) | 13.3509 | + | 4.85934i | 0.536619 | + | 0.195313i | 0.596091 | − | 0.802917i | \(-0.296720\pi\) |
−0.0594726 | + | 0.998230i | \(0.518942\pi\) | |||||||
\(620\) | 0.0381583 | 0.00153248 | ||||||||
\(621\) | 2.74778 | − | 2.89758i | 0.110265 | − | 0.116276i | ||||
\(622\) | 5.46182 | 0.218999 | ||||||||
\(623\) | 9.49676 | + | 3.45654i | 0.380480 | + | 0.138483i | ||||
\(624\) | 3.24107 | − | 1.78474i | 0.129746 | − | 0.0714468i | ||||
\(625\) | 19.1430 | + | 16.0629i | 0.765719 | + | 0.642514i | ||||
\(626\) | −3.96637 | + | 22.4944i | −0.158528 | + | 0.899057i | ||||
\(627\) | −14.4408 | − | 17.9351i | −0.576711 | − | 0.716258i | ||||
\(628\) | −3.97967 | + | 3.33934i | −0.158806 | + | 0.133254i | ||||
\(629\) | 22.1099 | + | 38.2955i | 0.881580 | + | 1.52694i | ||||
\(630\) | 0.0106722 | + | 0.0791407i | 0.000425189 | + | 0.00315304i | ||||
\(631\) | −16.4948 | + | 28.5699i | −0.656648 | + | 1.13735i | 0.324830 | + | 0.945773i | \(0.394693\pi\) |
−0.981478 | + | 0.191576i | \(0.938640\pi\) | |||||||
\(632\) | 2.94234 | + | 16.6868i | 0.117040 | + | 0.663767i | ||||
\(633\) | 26.3667 | + | 5.20161i | 1.04798 | + | 0.206746i | ||||
\(634\) | 16.0268 | − | 5.83327i | 0.636505 | − | 0.231669i | ||||
\(635\) | −0.0475376 | + | 0.0173023i | −0.00188647 | + | 0.000686620i | ||||
\(636\) | −7.88418 | + | 9.01872i | −0.312628 | + | 0.357616i | ||||
\(637\) | 0.370944 | + | 2.10373i | 0.0146973 | + | 0.0833527i | ||||
\(638\) | 14.2320 | − | 24.6505i | 0.563449 | − | 0.975922i | ||||
\(639\) | −7.99175 | + | 12.6319i | −0.316149 | + | 0.499712i | ||||
\(640\) | −0.0133095 | − | 0.0230528i | −0.000526105 | − | 0.000911240i | ||||
\(641\) | −7.52427 | + | 6.31361i | −0.297191 | + | 0.249373i | −0.779174 | − | 0.626808i | \(-0.784361\pi\) |
0.481983 | + | 0.876180i | \(0.339917\pi\) | |||||||
\(642\) | 1.12575 | − | 2.90837i | 0.0444297 | − | 0.114784i | ||||
\(643\) | −5.01549 | + | 28.4443i | −0.197792 | + | 1.12173i | 0.710595 | + | 0.703602i | \(0.248426\pi\) |
−0.908387 | + | 0.418131i | \(0.862685\pi\) | |||||||
\(644\) | −0.588710 | − | 0.493987i | −0.0231984 | − | 0.0194658i | ||||
\(645\) | −0.00148965 | + | 0.0735689i | −5.86549e−5 | + | 0.00289677i | ||||
\(646\) | 18.5785 | + | 6.76204i | 0.730963 | + | 0.266049i | ||||
\(647\) | −6.52841 | −0.256658 | −0.128329 | − | 0.991732i | \(-0.540961\pi\) | ||||
−0.128329 | + | 0.991732i | \(0.540961\pi\) | |||||||
\(648\) | 3.85475 | + | 8.13271i | 0.151429 | + | 0.319483i | ||||
\(649\) | 48.0968 | 1.88797 | ||||||||
\(650\) | −10.0353 | − | 3.65257i | −0.393619 | − | 0.143265i | ||||
\(651\) | −0.0502642 | + | 2.48238i | −0.00197001 | + | 0.0972923i | ||||
\(652\) | 2.48070 | + | 2.08155i | 0.0971517 | + | 0.0815199i | ||||
\(653\) | 3.06984 | − | 17.4099i | 0.120132 | − | 0.681304i | −0.863948 | − | 0.503581i | \(-0.832016\pi\) |
0.984081 | − | 0.177723i | \(-0.0568732\pi\) | |||||||
\(654\) | 11.7453 | − | 30.3440i | 0.459277 | − | 1.18654i | ||||
\(655\) | 0.320290 | − | 0.268755i | 0.0125148 | − | 0.0105011i | ||||
\(656\) | 4.83662 | + | 8.37727i | 0.188838 | + | 0.327077i | ||||
\(657\) | 13.3690 | + | 25.4858i | 0.521575 | + | 0.994296i | ||||
\(658\) | −3.33931 | + | 5.78385i | −0.130180 | + | 0.225478i | ||||
\(659\) | −5.21623 | − | 29.5827i | −0.203195 | − | 1.15238i | −0.900254 | − | 0.435365i | \(-0.856619\pi\) |
0.697059 | − | 0.717014i | \(-0.254492\pi\) | |||||||
\(660\) | 0.162288 | − | 0.185642i | 0.00631706 | − | 0.00722610i | ||||
\(661\) | 12.1157 | − | 4.40975i | 0.471246 | − | 0.171520i | −0.0954707 | − | 0.995432i | \(-0.530436\pi\) |
0.566717 | + | 0.823913i | \(0.308213\pi\) | |||||||
\(662\) | −23.9662 | + | 8.72298i | −0.931473 | + | 0.339028i | ||||
\(663\) | −28.8717 | − | 5.69581i | −1.12129 | − | 0.221207i | ||||
\(664\) | 1.26525 | + | 7.17561i | 0.0491014 | + | 0.278468i | ||||
\(665\) | 0.0330844 | − | 0.0573038i | 0.00128296 | − | 0.00222215i | ||||
\(666\) | 13.2005 | − | 10.1951i | 0.511508 | − | 0.395053i | ||||
\(667\) | −2.04509 | − | 3.54220i | −0.0791862 | − | 0.137154i | ||||
\(668\) | 0.614757 | − | 0.515842i | 0.0237856 | − | 0.0199585i | ||||
\(669\) | −1.84169 | − | 2.28733i | −0.0712039 | − | 0.0884333i | ||||
\(670\) | −0.000658607 | 0.00373515i | −2.54442e−5 | 0.000144301i | ||||||
\(671\) | −18.2903 | − | 15.3474i | −0.706090 | − | 0.592480i | ||||
\(672\) | 1.51722 | − | 0.835482i | 0.0585282 | − | 0.0322294i | ||||
\(673\) | −11.5544 | − | 4.20545i | −0.445388 | − | 0.162108i | 0.109583 | − | 0.993978i | \(-0.465048\pi\) |
−0.554971 | + | 0.831870i | \(0.687271\pi\) | |||||||
\(674\) | 33.5534 | 1.29243 | ||||||||
\(675\) | 10.3500 | − | 23.8262i | 0.398372 | − | 0.917070i | ||||
\(676\) | −8.43673 | −0.324490 | ||||||||
\(677\) | −23.4600 | − | 8.53874i | −0.901641 | − | 0.328171i | −0.150731 | − | 0.988575i | \(-0.548163\pi\) |
−0.750910 | + | 0.660404i | \(0.770385\pi\) | |||||||
\(678\) | 23.2007 | + | 14.0287i | 0.891019 | + | 0.538770i | ||||
\(679\) | 1.35901 | + | 1.14035i | 0.0521541 | + | 0.0437625i | ||||
\(680\) | −0.0367644 | + | 0.208501i | −0.00140985 | + | 0.00799566i | ||||
\(681\) | −4.83076 | + | 0.751297i | −0.185115 | + | 0.0287898i | ||||
\(682\) | 5.87288 | − | 4.92794i | 0.224884 | − | 0.188700i | ||||
\(683\) | −0.286007 | − | 0.495378i | −0.0109437 | − | 0.0189551i | 0.860502 | − | 0.509448i | \(-0.170150\pi\) |
−0.871445 | + | 0.490493i | \(0.836817\pi\) | |||||||
\(684\) | 1.59117 | − | 7.28557i | 0.0608400 | − | 0.278571i | ||||
\(685\) | −0.231314 | + | 0.400647i | −0.00883805 | + | 0.0153080i | ||||
\(686\) | 0.173648 | + | 0.984808i | 0.00662992 | + | 0.0376001i | ||||
\(687\) | 6.69788 | + | 19.6299i | 0.255540 | + | 0.748929i | ||||
\(688\) | 1.49974 | − | 0.545861i | 0.0571771 | − | 0.0208108i | ||||
\(689\) | −13.8831 | + | 5.05302i | −0.528903 | + | 0.192505i | ||||
\(690\) | −0.0114421 | − | 0.0335341i | −0.000435592 | − | 0.00127662i | ||||
\(691\) | −2.31882 | − | 13.1507i | −0.0882122 | − | 0.500276i | −0.996617 | − | 0.0821848i | \(-0.973810\pi\) |
0.908405 | − | 0.418092i | \(-0.137301\pi\) | |||||||
\(692\) | −6.21701 | + | 10.7682i | −0.236335 | + | 0.409345i | ||||
\(693\) | 11.8631 | + | 10.8022i | 0.450643 | + | 0.410341i | ||||
\(694\) | 8.33179 | + | 14.4311i | 0.316270 | + | 0.547796i | ||||
\(695\) | 0.194510 | − | 0.163213i | 0.00737817 | − | 0.00619102i | ||||
\(696\) | 9.10889 | − | 1.41665i | 0.345272 | − | 0.0536978i | ||||
\(697\) | 13.3600 | − | 75.7685i | 0.506047 | − | 2.86994i | ||||
\(698\) | 21.0463 | + | 17.6599i | 0.796614 | + | 0.668439i | ||||
\(699\) | −25.3485 | − | 15.3274i | −0.958769 | − | 0.579736i | ||||
\(700\) | −4.69780 | − | 1.70986i | −0.177560 | − | 0.0646266i | ||||
\(701\) | 29.5254 | 1.11516 | 0.557579 | − | 0.830124i | \(-0.311730\pi\) | ||||
0.557579 | + | 0.830124i | \(0.311730\pi\) | |||||||
\(702\) | −0.673759 | + | 11.0795i | −0.0254294 | + | 0.418167i | ||||
\(703\) | −13.8201 | −0.521237 | ||||||||
\(704\) | −5.02558 | − | 1.82916i | −0.189409 | − | 0.0689391i | ||||
\(705\) | −0.269730 | + | 0.148531i | −0.0101586 | + | 0.00559398i | ||||
\(706\) | −1.68465 | − | 1.41359i | −0.0634025 | − | 0.0532010i | ||||
\(707\) | 3.15735 | − | 17.9062i | 0.118744 | − | 0.673432i | ||||
\(708\) | 9.76893 | + | 12.1327i | 0.367139 | + | 0.455976i | ||||
\(709\) | −3.69783 | + | 3.10284i | −0.138875 | + | 0.116530i | −0.709579 | − | 0.704626i | \(-0.751115\pi\) |
0.570704 | + | 0.821156i | \(0.306670\pi\) | |||||||
\(710\) | 0.0663156 | + | 0.114862i | 0.00248878 | + | 0.00431069i | ||||
\(711\) | −47.0243 | − | 19.3052i | −1.76355 | − | 0.724002i | ||||
\(712\) | 5.05312 | − | 8.75226i | 0.189374 | − | 0.328005i | ||||
\(713\) | −0.191300 | − | 1.08492i | −0.00716424 | − | 0.0406304i | ||||
\(714\) | −13.5156 | − | 2.66635i | −0.505808 | − | 0.0997857i | ||||
\(715\) | 0.285770 | − | 0.104012i | 0.0106872 | − | 0.00388982i | ||||
\(716\) | −17.0155 | + | 6.19314i | −0.635899 | + | 0.231448i | ||||
\(717\) | −11.1111 | + | 12.7099i | −0.414950 | + | 0.474662i | ||||
\(718\) | −0.712430 | − | 4.04039i | −0.0265877 | − | 0.150786i | ||||
\(719\) | −21.2158 | + | 36.7468i | −0.791215 | + | 1.37043i | 0.133999 | + | 0.990981i | \(0.457218\pi\) |
−0.925215 | + | 0.379444i | \(0.876115\pi\) | |||||||
\(720\) | 0.0797916 | + | 0.00323262i | 0.00297366 | + | 0.000120473i | ||||
\(721\) | −9.69314 | − | 16.7890i | −0.360991 | − | 0.625255i | ||||
\(722\) | 9.82142 | − | 8.24115i | 0.365515 | − | 0.306704i | ||||
\(723\) | 7.90970 | − | 20.4347i | 0.294165 | − | 0.759976i | ||||
\(724\) | 1.87879 | − | 10.6551i | 0.0698246 | − | 0.395995i | ||||
\(725\) | −20.3825 | − | 17.1029i | −0.756986 | − | 0.635187i | ||||
\(726\) | 0.617207 | − | 30.4818i | 0.0229067 | − | 1.13129i | ||||
\(727\) | 2.64128 | + | 0.961347i | 0.0979596 | + | 0.0356544i | 0.390535 | − | 0.920588i | \(-0.372290\pi\) |
−0.292575 | + | 0.956242i | \(0.594512\pi\) | |||||||
\(728\) | 2.13618 | 0.0791721 | ||||||||
\(729\) | −26.8010 | − | 3.27173i | −0.992631 | − | 0.121175i | ||||
\(730\) | 0.255360 | 0.00945131 | ||||||||
\(731\) | −11.9284 | − | 4.34158i | −0.441187 | − | 0.160579i | ||||
\(732\) | 0.156541 | − | 7.73105i | 0.00578593 | − | 0.285748i | ||||
\(733\) | −25.8376 | − | 21.6803i | −0.954334 | − | 0.800781i | 0.0256881 | − | 0.999670i | \(-0.491822\pi\) |
−0.980022 | + | 0.198889i | \(0.936267\pi\) | |||||||
\(734\) | 5.41847 | − | 30.7296i | 0.199999 | − | 1.13425i | ||||
\(735\) | −0.0166429 | + | 0.0429969i | −0.000613881 | + | 0.00158596i | ||||
\(736\) | −0.588710 | + | 0.493987i | −0.0217002 | + | 0.0182086i | ||||
\(737\) | 0.381008 | + | 0.659926i | 0.0140346 | + | 0.0243087i | ||||
\(738\) | −28.9959 | − | 1.17472i | −1.06735 | − | 0.0432421i | ||||
\(739\) | −20.6804 | + | 35.8195i | −0.760741 | + | 1.31764i | 0.181728 | + | 0.983349i | \(0.441831\pi\) |
−0.942469 | + | 0.334294i | \(0.891502\pi\) | |||||||
\(740\) | −0.0256989 | − | 0.145746i | −0.000944710 | − | 0.00535772i | ||||
\(741\) | 6.05332 | − | 6.92440i | 0.222374 | − | 0.254374i | ||||
\(742\) | −6.49901 | + | 2.36545i | −0.238586 | + | 0.0868383i | ||||
\(743\) | 45.8894 | − | 16.7024i | 1.68352 | − | 0.612751i | 0.689735 | − | 0.724062i | \(-0.257727\pi\) |
0.993786 | + | 0.111311i | \(0.0355049\pi\) | |||||||
\(744\) | 2.43594 | + | 0.480562i | 0.0893059 | + | 0.0176183i | ||||
\(745\) | −0.000510252 | − | 0.00289378i | −1.86942e−5 | − | 0.000106020i | ||||
\(746\) | −6.03048 | + | 10.4451i | −0.220792 | + | 0.382422i | ||||
\(747\) | −20.2212 | − | 8.30155i | −0.739855 | − | 0.303738i | ||||
\(748\) | 21.2684 | + | 36.8380i | 0.777651 | + | 1.34693i | ||||
\(749\) | 1.37930 | − | 1.15737i | 0.0503985 | − | 0.0422894i | ||||
\(750\) | −0.289129 | − | 0.359090i | −0.0105575 | − | 0.0131121i | ||||
\(751\) | 8.05253 | − | 45.6682i | 0.293841 | − | 1.66645i | −0.378035 | − | 0.925791i | \(-0.623400\pi\) |
0.671876 | − | 0.740663i | \(-0.265489\pi\) | |||||||
\(752\) | 5.11612 | + | 4.29293i | 0.186566 | + | 0.156547i | ||||
\(753\) | −3.91889 | + | 2.15800i | −0.142812 | + | 0.0786417i | ||||
\(754\) | 10.6836 | + | 3.88852i | 0.389074 | + | 0.141612i | ||||
\(755\) | 0.131563 | 0.00478807 | ||||||||
\(756\) | −0.315404 | + | 5.18657i | −0.0114711 | + | 0.188634i | ||||
\(757\) | 22.6977 | 0.824964 | 0.412482 | − | 0.910966i | \(-0.364662\pi\) | ||||
0.412482 | + | 0.910966i | \(0.364662\pi\) | |||||||
\(758\) | 14.9334 | + | 5.43530i | 0.542404 | + | 0.197419i | ||||
\(759\) | −6.09177 | − | 3.68349i | −0.221117 | − | 0.133702i | ||||
\(760\) | −0.0506882 | − | 0.0425324i | −0.00183865 | − | 0.00154281i | ||||
\(761\) | 3.05865 | − | 17.3465i | 0.110876 | − | 0.628809i | −0.877834 | − | 0.478965i | \(-0.841012\pi\) |
0.988710 | − | 0.149843i | \(-0.0478769\pi\) | |||||||
\(762\) | −3.25260 | + | 0.505855i | −0.117829 | + | 0.0183252i | ||||
\(763\) | 14.3907 | − | 12.0752i | 0.520978 | − | 0.437153i | ||||
\(764\) | −6.42861 | − | 11.1347i | −0.232579 | − | 0.402838i | ||||
\(765\) | −0.469630 | − | 0.427630i | −0.0169795 | − | 0.0154610i | ||||
\(766\) | 11.2969 | − | 19.5668i | 0.408174 | − | 0.706979i | ||||
\(767\) | 3.33599 | + | 18.9193i | 0.120456 | + | 0.683137i | ||||
\(768\) | −0.559325 | − | 1.63925i | −0.0201829 | − | 0.0591515i | ||||
\(769\) | −34.9294 | + | 12.7133i | −1.25959 | + | 0.458452i | −0.883631 | − | 0.468185i | \(-0.844908\pi\) |
−0.375957 | + | 0.926637i | \(0.622686\pi\) | |||||||
\(770\) | 0.133776 | − | 0.0486905i | 0.00482095 | − | 0.00175468i | ||||
\(771\) | 3.65527 | + | 10.7128i | 0.131641 | + | 0.385811i | ||||
\(772\) | −1.11192 | − | 6.30599i | −0.0400187 | − | 0.226957i | ||||
\(773\) | 18.1543 | − | 31.4442i | 0.652966 | − | 1.13097i | −0.329434 | − | 0.944179i | \(-0.606858\pi\) |
0.982400 | − | 0.186791i | \(-0.0598088\pi\) | |||||||
\(774\) | −1.02162 | + | 4.67772i | −0.0367212 | + | 0.168137i | ||||
\(775\) | −3.58324 | − | 6.20635i | −0.128714 | − | 0.222939i | ||||
\(776\) | 1.35901 | − | 1.14035i | 0.0487857 | − | 0.0409361i | ||||
\(777\) | 9.51531 | − | 1.47985i | 0.341360 | − | 0.0530894i | ||||
\(778\) | 5.07454 | − | 28.7792i | 0.181931 | − | 1.03178i | ||||
\(779\) | 18.4199 | + | 15.4561i | 0.659960 | + | 0.553772i | ||||
\(780\) | 0.0842802 | + | 0.0509615i | 0.00301771 | + | 0.00182471i | ||||
\(781\) | 25.0403 | + | 9.11393i | 0.896013 | + | 0.326122i | ||||
\(782\) | 6.11242 | 0.218580 | ||||||||
\(783\) | −11.0186 | + | 25.3653i | −0.393773 | + | 0.906482i | ||||
\(784\) | 1.00000 | 0.0357143 | ||||||||
\(785\) | −0.129948 | − | 0.0472973i | −0.00463806 | − | 0.00168811i | ||||
\(786\) | 23.8313 | − | 13.1230i | 0.850033 | − | 0.468083i | ||||
\(787\) | 0.108724 | + | 0.0912305i | 0.00387560 | + | 0.00325202i | 0.644723 | − | 0.764416i | \(-0.276973\pi\) |
−0.640848 | + | 0.767668i | \(0.721417\pi\) | |||||||
\(788\) | 3.72853 | − | 21.1455i | 0.132823 | − | 0.753279i | ||||
\(789\) | −16.0414 | − | 19.9229i | −0.571088 | − | 0.709276i | ||||
\(790\) | −0.345516 | + | 0.289923i | −0.0122929 | + | 0.0103150i | ||||
\(791\) | 7.82666 | + | 13.5562i | 0.278284 | + | 0.482002i | ||||
\(792\) | 12.6981 | − | 9.80712i | 0.451206 | − | 0.348481i | ||||
\(793\) | 4.76843 | − | 8.25916i | 0.169332 | − | 0.293291i | ||||
\(794\) | 2.92403 | + | 16.5830i | 0.103770 | + | 0.588509i | ||||
\(795\) | −0.312841 | − | 0.0617172i | −0.0110953 | − | 0.00218888i | ||||
\(796\) | −2.71451 | + | 0.988002i | −0.0962134 | + | 0.0350188i | ||||
\(797\) | −17.8206 | + | 6.48615i | −0.631237 | + | 0.229751i | −0.637769 | − | 0.770227i | \(-0.720143\pi\) |
0.00653282 | + | 0.999979i | \(0.497921\pi\) | |||||||
\(798\) | 2.83371 | − | 3.24149i | 0.100312 | − | 0.114747i | ||||
\(799\) | −9.22406 | − | 52.3122i | −0.326324 | − | 1.85067i | ||||
\(800\) | −2.49965 | + | 4.32951i | −0.0883758 | + | 0.153071i | ||||
\(801\) | 14.0841 | + | 26.8489i | 0.497636 | + | 0.948660i | ||||
\(802\) | −12.4455 | − | 21.5563i | −0.439466 | − | 0.761178i | ||||
\(803\) | 39.3021 | − | 32.9784i | 1.38694 | − | 1.16378i | ||||
\(804\) | −0.0890840 | + | 0.230149i | −0.00314175 | + | 0.00811673i | ||||
\(805\) | 0.00355230 | − | 0.0201461i | 0.000125202 | − | 0.000710057i | ||||
\(806\) | 2.34579 | + | 1.96835i | 0.0826269 | + | 0.0693322i | ||||
\(807\) | −0.262612 | + | 12.9696i | −0.00924440 | + | 0.456550i | ||||
\(808\) | −17.0859 | − | 6.21876i | −0.601080 | − | 0.218775i | ||||
\(809\) | 30.5528 | 1.07418 | 0.537089 | − | 0.843526i | \(-0.319524\pi\) | ||||
0.537089 | + | 0.843526i | \(0.319524\pi\) | |||||||
\(810\) | −0.136176 | + | 0.197105i | −0.00478475 | + | 0.00692556i | ||||
\(811\) | −8.17256 | −0.286977 | −0.143489 | − | 0.989652i | \(-0.545832\pi\) | ||||
−0.143489 | + | 0.989652i | \(0.545832\pi\) | |||||||
\(812\) | 5.00127 | + | 1.82031i | 0.175510 | + | 0.0638805i | ||||
\(813\) | 0.627193 | − | 30.9750i | 0.0219966 | − | 1.08634i | ||||
\(814\) | −22.7775 | − | 19.1126i | −0.798352 | − | 0.669897i | ||||
\(815\) | −0.0149686 | + | 0.0848914i | −0.000524329 | + | 0.00297362i | ||||
\(816\) | −4.97280 | + | 12.8472i | −0.174083 | + | 0.449744i | ||||
\(817\) | 3.03910 | − | 2.55011i | 0.106325 | − | 0.0892171i | ||||
\(818\) | −9.13220 | − | 15.8174i | −0.319300 | − | 0.553043i | ||||
\(819\) | −3.42631 | + | 5.41570i | −0.119725 | + | 0.189240i | ||||
\(820\) | −0.128746 | + | 0.222995i | −0.00449601 | + | 0.00778731i | ||||
\(821\) | −7.62296 | − | 43.2319i | −0.266043 | − | 1.50881i | −0.766048 | − | 0.642783i | \(-0.777780\pi\) |
0.500005 | − | 0.866022i | \(-0.333331\pi\) | |||||||
\(822\) | −19.8123 | + | 22.6633i | −0.691032 | + | 0.790473i | ||||
\(823\) | −27.1787 | + | 9.89224i | −0.947390 | + | 0.344822i | −0.769080 | − | 0.639152i | \(-0.779285\pi\) |
−0.178310 | + | 0.983974i | \(0.557063\pi\) | |||||||
\(824\) | −18.2171 | + | 6.63050i | −0.634624 | + | 0.230984i | ||||
\(825\) | −45.4337 | − | 8.96316i | −1.58180 | − | 0.312057i | ||||
\(826\) | 1.56166 | + | 8.85661i | 0.0543371 | + | 0.308161i | ||||
\(827\) | 0.440898 | − | 0.763658i | 0.0153315 | − | 0.0265550i | −0.858258 | − | 0.513219i | \(-0.828453\pi\) |
0.873589 | + | 0.486664i | \(0.161786\pi\) | |||||||
\(828\) | −0.308111 | − | 2.28484i | −0.0107076 | − | 0.0794037i | ||||
\(829\) | 23.2421 | + | 40.2565i | 0.807232 | + | 1.39817i | 0.914774 | + | 0.403966i | \(0.132369\pi\) |
−0.107542 | + | 0.994201i | \(0.534298\pi\) | |||||||
\(830\) | −0.148578 | + | 0.124672i | −0.00515721 | + | 0.00432741i | ||||
\(831\) | 11.3488 | + | 14.0948i | 0.393684 | + | 0.488945i | ||||
\(832\) | 0.370944 | − | 2.10373i | 0.0128602 | − | 0.0729336i | ||||
\(833\) | −6.09283 | − | 5.11249i | −0.211104 | − | 0.177137i | ||||
\(834\) | 14.4725 | − | 7.96952i | 0.501143 | − | 0.275962i | ||||
\(835\) | 0.0200737 | + | 0.00730623i | 0.000694679 | + | 0.000252842i | ||||
\(836\) | −13.2942 | −0.459788 | ||||||||
\(837\) | −5.12544 | + | 5.40487i | −0.177161 | + | 0.186820i | ||||
\(838\) | −6.64285 | −0.229474 | ||||||||
\(839\) | −49.1919 | − | 17.9044i | −1.69829 | − | 0.618128i | −0.702664 | − | 0.711522i | \(-0.748006\pi\) |
−0.995629 | + | 0.0933935i | \(0.970229\pi\) | |||||||
\(840\) | 0.0394537 | + | 0.0238563i | 0.00136128 | + | 0.000823122i | ||||
\(841\) | −0.516122 | − | 0.433077i | −0.0177973 | − | 0.0149337i | ||||
\(842\) | 3.00726 | − | 17.0550i | 0.103637 | − | 0.587754i | ||||
\(843\) | −31.0769 | + | 4.83318i | −1.07034 | + | 0.166464i | ||||
\(844\) | 11.8861 | − | 9.97363i | 0.409137 | − | 0.343307i | ||||
\(845\) | −0.112289 | − | 0.194490i | −0.00386285 | − | 0.00669065i | ||||
\(846\) | −19.0895 | + | 6.08491i | −0.656311 | + | 0.209203i | ||||
\(847\) | 8.80114 | − | 15.2440i | 0.302411 | − | 0.523791i | ||||
\(848\) | 1.20097 | + | 6.81104i | 0.0412415 | + | 0.233892i | ||||
\(849\) | 2.94706 | + | 8.63715i | 0.101143 | + | 0.296426i | ||||
\(850\) | 37.3645 | − | 13.5996i | 1.28159 | − | 0.466462i | ||||
\(851\) | −4.01500 | + | 1.46134i | −0.137632 | + | 0.0500941i | ||||
\(852\) | 2.78688 | + | 8.16770i | 0.0954769 | + | 0.279821i | ||||
\(853\) | −5.96448 | − | 33.8262i | −0.204220 | − | 1.15819i | −0.898663 | − | 0.438640i | \(-0.855460\pi\) |
0.694443 | − | 0.719548i | \(-0.255651\pi\) | |||||||
\(854\) | 2.23222 | − | 3.86632i | 0.0763850 | − | 0.132303i | ||||
\(855\) | 0.189130 | − | 0.0602865i | 0.00646812 | − | 0.00206176i | ||||
\(856\) | −0.900275 | − | 1.55932i | −0.0307708 | − | 0.0532965i | ||||
\(857\) | −9.40533 | + | 7.89201i | −0.321280 | + | 0.269586i | −0.789136 | − | 0.614219i | \(-0.789471\pi\) |
0.467856 | + | 0.883805i | \(0.345027\pi\) | |||||||
\(858\) | 19.5528 | − | 3.04092i | 0.667522 | − | 0.103815i | ||||
\(859\) | −8.20864 | + | 46.5535i | −0.280075 | + | 1.58839i | 0.442289 | + | 0.896873i | \(0.354167\pi\) |
−0.722364 | + | 0.691513i | \(0.756945\pi\) | |||||||
\(860\) | 0.0325444 | + | 0.0273080i | 0.00110976 | + | 0.000931196i | ||||
\(861\) | −14.3373 | − | 8.66929i | −0.488614 | − | 0.295449i | ||||
\(862\) | −23.4145 | − | 8.52218i | −0.797501 | − | 0.290266i | ||||
\(863\) | −10.1524 | −0.345592 | −0.172796 | − | 0.984958i | \(-0.555280\pi\) | ||||
−0.172796 | + | 0.984958i | \(0.555280\pi\) | |||||||
\(864\) | 5.05301 | + | 1.21125i | 0.171907 | + | 0.0412076i | ||||
\(865\) | −0.330982 | −0.0112537 | ||||||||
\(866\) | 17.1763 | + | 6.25166i | 0.583675 | + | 0.212440i | ||||
\(867\) | 70.1871 | − | 38.6495i | 2.38368 | − | 1.31261i | ||||
\(868\) | 1.09812 | + | 0.921435i | 0.0372727 | + | 0.0312755i | ||||
\(869\) | −15.7360 | + | 89.2431i | −0.533806 | + | 3.02736i | ||||
\(870\) | 0.153892 | + | 0.191130i | 0.00521744 | + | 0.00647992i | ||||
\(871\) | −0.233161 | + | 0.195645i | −0.00790036 | + | 0.00662919i | ||||
\(872\) | −9.39286 | − | 16.2689i | −0.318082 | − | 0.550935i | ||||
\(873\) | 0.711262 | + | 5.27445i | 0.0240726 | + | 0.178513i | ||||
\(874\) | −0.955165 | + | 1.65439i | −0.0323089 | + | 0.0559607i | ||||
\(875\) | −0.0462202 | − | 0.262128i | −0.00156253 | − | 0.00886153i | ||||
\(876\) | 16.3016 | + | 3.21598i | 0.550781 | + | 0.108658i | ||||
\(877\) | 29.2220 | − | 10.6359i | 0.986757 | − | 0.359150i | 0.202293 | − | 0.979325i | \(-0.435161\pi\) |
0.784464 | + | 0.620175i | \(0.212938\pi\) | |||||||
\(878\) | 8.64223 | − | 3.14551i | 0.291661 | − | 0.106156i | ||||
\(879\) | 20.1264 | − | 23.0227i | 0.678848 | − | 0.776535i | ||||
\(880\) | −0.0247208 | − | 0.140199i | −0.000833338 | − | 0.00472610i | ||||
\(881\) | −2.82126 | + | 4.88656i | −0.0950506 | + | 0.164632i | −0.909630 | − | 0.415420i | \(-0.863635\pi\) |
0.814579 | + | 0.580052i | \(0.196968\pi\) | |||||||
\(882\) | −1.60394 | + | 2.53523i | −0.0540075 | + | 0.0853655i | ||||
\(883\) | 17.5346 | + | 30.3708i | 0.590085 | + | 1.02206i | 0.994220 | + | 0.107358i | \(0.0342392\pi\) |
−0.404135 | + | 0.914699i | \(0.632427\pi\) | |||||||
\(884\) | −13.0154 | + | 10.9212i | −0.437755 | + | 0.367320i | ||||
\(885\) | −0.149673 | + | 0.386681i | −0.00503121 | + | 0.0129982i | ||||
\(886\) | −2.42609 | + | 13.7590i | −0.0815060 | + | 0.462243i | ||||
\(887\) | −34.3105 | − | 28.7899i | −1.15203 | − | 0.966671i | −0.152268 | − | 0.988339i | \(-0.548658\pi\) |
−0.999765 | + | 0.0216683i | \(0.993102\pi\) | |||||||
\(888\) | 0.194946 | − | 9.62772i | 0.00654195 | − | 0.323085i | ||||
\(889\) | −1.78585 | − | 0.649997i | −0.0598955 | − | 0.0218002i | ||||
\(890\) | 0.269018 | 0.00901751 | ||||||||
\(891\) | 4.49630 | + | 47.9225i | 0.150632 | + | 1.60547i | ||||
\(892\) | −1.69546 | −0.0567680 | ||||||||
\(893\) | 15.6003 | + | 5.67805i | 0.522044 | + | 0.190009i | ||||
\(894\) | 0.00387065 | − | 0.191159i | 0.000129454 | − | 0.00639330i | ||||
\(895\) | −0.369237 | − | 0.309827i | −0.0123422 | − | 0.0103564i | ||||
\(896\) | 0.173648 | − | 0.984808i | 0.00580118 | − | 0.0329001i | ||||
\(897\) | 1.02641 | − | 2.65174i | 0.0342709 | − | 0.0885390i | ||||
\(898\) | 26.0400 | − | 21.8502i | 0.868966 | − | 0.729149i | ||||
\(899\) | 3.81471 | + | 6.60727i | 0.127228 | + | 0.220365i | ||||
\(900\) | −6.96701 | − | 13.2815i | −0.232234 | − | 0.442715i | ||||
\(901\) | 27.5041 | − | 47.6384i | 0.916293 | − | 1.58707i | ||||
\(902\) | 8.98344 | + | 50.9476i | 0.299116 | + | 1.69637i | ||||
\(903\) | −1.81939 | + | 2.08120i | −0.0605455 | + | 0.0692580i | ||||
\(904\) | 14.7093 | − | 5.35375i | 0.489224 | − | 0.178063i | ||||
\(905\) | 0.270636 | − | 0.0985034i | 0.00899624 | − | 0.00327436i | ||||
\(906\) | 8.39869 | + | 1.65689i | 0.279028 | + | 0.0550465i | ||||
\(907\) | −1.10158 | − | 6.24737i | −0.0365774 | − | 0.207441i | 0.961042 | − | 0.276403i | \(-0.0891424\pi\) |
−0.997619 | + | 0.0689621i | \(0.978031\pi\) | |||||||
\(908\) | −1.41129 | + | 2.44442i | −0.0468352 | + | 0.0811209i | ||||
\(909\) | 43.1707 | − | 33.3421i | 1.43188 | − | 1.10589i | ||||
\(910\) | 0.0284315 | + | 0.0492449i | 0.000942496 | + | 0.00163245i | ||||
\(911\) | −1.63919 | + | 1.37545i | −0.0543089 | + | 0.0455706i | −0.669538 | − | 0.742778i | \(-0.733508\pi\) |
0.615229 | + | 0.788348i | \(0.289063\pi\) | |||||||
\(912\) | −2.70017 | − | 3.35354i | −0.0894116 | − | 0.111047i | ||||
\(913\) | −6.76672 | + | 38.3760i | −0.223946 | + | 1.27006i | ||||
\(914\) | −10.1999 | − | 8.55870i | −0.337382 | − | 0.283097i | ||||
\(915\) | 0.180306 | − | 0.0992878i | 0.00596072 | − | 0.00328235i | ||||
\(916\) | 11.2527 | + | 4.09567i | 0.371801 | + | 0.135325i | ||||
\(917\) | 15.7071 | 0.518695 | ||||||||
\(918\) | −24.5946 | − | 33.2134i | −0.811743 | − | 1.09621i | ||||
\(919\) | 32.0728 | 1.05798 | 0.528991 | − | 0.848627i | \(-0.322570\pi\) | ||||
0.528991 | + | 0.848627i | \(0.322570\pi\) | |||||||
\(920\) | −0.0192232 | − | 0.00699667i | −0.000633770 | − | 0.000230673i | ||||
\(921\) | 42.2627 | + | 25.5549i | 1.39260 | + | 0.842062i | ||||
\(922\) | 28.3792 | + | 23.8130i | 0.934620 | + | 0.784239i | ||||
\(923\) | −1.84825 | + | 10.4820i | −0.0608360 | + | 0.345018i | ||||
\(924\) | 9.15316 | − | 1.42353i | 0.301117 | − | 0.0468307i | ||||
\(925\) | −21.2919 | + | 17.8660i | −0.700073 | + | 0.587431i | ||||
\(926\) | 18.5487 | + | 32.1274i | 0.609549 | + | 1.05577i | ||||
\(927\) | 12.4094 | − | 56.8195i | 0.407578 | − | 1.86620i | ||||
\(928\) | 2.66112 | − | 4.60920i | 0.0873556 | − | 0.151304i | ||||
\(929\) | 4.74114 | + | 26.8883i | 0.155552 | + | 0.882177i | 0.958280 | + | 0.285832i | \(0.0922699\pi\) |
−0.802728 | + | 0.596345i | \(0.796619\pi\) | |||||||
\(930\) | 0.0213429 | + | 0.0625512i | 0.000699862 | + | 0.00205113i | ||||
\(931\) | 2.33586 | − | 0.850183i | 0.0765547 | − | 0.0278636i | ||||
\(932\) | −16.0710 | + | 5.84937i | −0.526423 | + | 0.191602i | ||||
\(933\) | 3.05493 | + | 8.95331i | 0.100014 | + | 0.293118i | ||||
\(934\) | 0.246097 | + | 1.39568i | 0.00805252 | + | 0.0456681i | ||||
\(935\) | −0.566145 | + | 0.980592i | −0.0185149 | + | 0.0320688i | ||||
\(936\) | 4.73845 | + | 4.31468i | 0.154881 | + | 0.141030i | ||||
\(937\) | −6.35512 | − | 11.0074i | −0.207613 | − | 0.359596i | 0.743349 | − | 0.668903i | \(-0.233236\pi\) |
−0.950962 | + | 0.309308i | \(0.899903\pi\) | |||||||
\(938\) | −0.109149 | + | 0.0915865i | −0.00356383 | + | 0.00299041i | ||||
\(939\) | −39.0925 | + | 6.07980i | −1.27574 | + | 0.198407i | ||||
\(940\) | −0.0308709 | + | 0.175077i | −0.00100690 | + | 0.00571040i | ||||
\(941\) | −42.3559 | − | 35.5408i | −1.38076 | − | 1.15860i | −0.968929 | − | 0.247338i | \(-0.920444\pi\) |
−0.411833 | − | 0.911259i | \(-0.635111\pi\) | |||||||
\(942\) | −7.69995 | − | 4.65591i | −0.250878 | − | 0.151698i | ||||
\(943\) | 6.98563 | + | 2.54256i | 0.227483 | + | 0.0827972i | ||||
\(944\) | 8.99324 | 0.292705 | ||||||||
\(945\) | −0.123763 | + | 0.0617598i | −0.00402600 | + | 0.00200905i | ||||
\(946\) | 8.53554 | 0.277514 | ||||||||
\(947\) | 10.2016 | + | 3.71310i | 0.331509 | + | 0.120659i | 0.502412 | − | 0.864628i | \(-0.332446\pi\) |
−0.170903 | + | 0.985288i | \(0.554668\pi\) | |||||||
\(948\) | −25.7082 | + | 14.1566i | −0.834965 | + | 0.459786i | ||||
\(949\) | 15.6983 | + | 13.1725i | 0.509589 | + | 0.427596i | ||||
\(950\) | −2.15794 | + | 12.2383i | −0.0700128 | + | 0.397062i | ||||
\(951\) | 18.5264 | + | 23.0093i | 0.600760 | + | 0.746127i | ||||
\(952\) | −6.09283 | + | 5.11249i | −0.197470 | + | 0.165697i | ||||
\(953\) | 14.5363 | + | 25.1777i | 0.470878 | + | 0.815584i | 0.999445 | − | 0.0333070i | \(-0.0106039\pi\) |
−0.528567 | + | 0.848891i | \(0.677271\pi\) | |||||||
\(954\) | −19.1938 | − | 7.87977i | −0.621422 | − | 0.255117i | ||||
\(955\) | 0.171123 | − | 0.296394i | 0.00553742 | − | 0.00959109i | ||||
\(956\) | 1.69251 | + | 9.59869i | 0.0547396 | + | 0.310444i | ||||
\(957\) | 48.3687 | + | 9.54217i | 1.56354 | + | 0.308454i | ||||
\(958\) | −18.4767 | + | 6.72497i | −0.596955 | + | 0.217274i | ||||
\(959\) | −16.3315 | + | 5.94417i | −0.527371 | + | 0.191947i | ||||
\(960\) | 0.0303450 | − | 0.0347117i | 0.000979380 | − | 0.00112031i | ||||
\(961\) | −5.02626 | − | 28.5053i | −0.162137 | − | 0.919527i | ||||
\(962\) | 5.93827 | − | 10.2854i | 0.191458 | − | 0.331614i | ||||
\(963\) | 5.39722 | + | 0.218659i | 0.173923 | + | 0.00704620i | ||||
\(964\) | −6.32549 | − | 10.9561i | −0.203730 | − | 0.352871i | ||||
\(965\) | 0.130571 | − | 0.109562i | 0.00420324 | − | 0.00352694i | ||||
\(966\) | 0.480489 | − | 1.24135i | 0.0154595 | − | 0.0399396i | ||||
\(967\) | 7.50578 | − | 42.5674i | 0.241370 | − | 1.36888i | −0.587405 | − | 0.809293i | \(-0.699851\pi\) |
0.828775 | − | 0.559582i | \(-0.189038\pi\) | |||||||
\(968\) | −13.4841 | − | 11.3145i | −0.433396 | − | 0.363663i | ||||
\(969\) | −0.693246 | + | 34.2371i | −0.0222703 | + | 1.09986i | ||||
\(970\) | 0.0443759 | + | 0.0161515i | 0.00142483 | + | 0.000518594i | ||||
\(971\) | 1.90618 | 0.0611724 | 0.0305862 | − | 0.999532i | \(-0.490263\pi\) | ||||
0.0305862 | + | 0.999532i | \(0.490263\pi\) | |||||||
\(972\) | −11.1755 | + | 10.8677i | −0.358455 | + | 0.348583i | ||||
\(973\) | 9.53883 | 0.305801 | ||||||||
\(974\) | −20.8826 | − | 7.60063i | −0.669121 | − | 0.243540i | ||||
\(975\) | 0.374462 | − | 18.4935i | 0.0119924 | − | 0.592265i | ||||
\(976\) | −3.41996 | − | 2.86969i | −0.109470 | − | 0.0918564i | ||||
\(977\) | −0.203495 | + | 1.15408i | −0.00651039 | + | 0.0369222i | −0.987890 | − | 0.155157i | \(-0.950412\pi\) |
0.981380 | + | 0.192079i | \(0.0615229\pi\) | |||||||
\(978\) | −2.02468 | + | 5.23076i | −0.0647421 | + | 0.167261i | ||||
\(979\) | 41.4042 | − | 34.7422i | 1.32328 | − | 1.11037i | ||||
\(980\) | 0.0133095 | + | 0.0230528i | 0.000425157 | + | 0.000736393i | ||||
\(981\) | 56.3110 | + | 2.28134i | 1.79787 | + | 0.0728377i | ||||
\(982\) | −16.0278 | + | 27.7609i | −0.511467 | + | 0.885887i | ||||
\(983\) | −2.65877 | − | 15.0787i | −0.0848017 | − | 0.480934i | −0.997399 | − | 0.0720753i | \(-0.977038\pi\) |
0.912597 | − | 0.408859i | \(-0.134073\pi\) | |||||||
\(984\) | −11.0272 | + | 12.6141i | −0.351535 | + | 0.402122i | ||||
\(985\) | 0.537088 | − | 0.195484i | 0.0171130 | − | 0.00622864i | ||||
\(986\) | −39.7782 | + | 14.4781i | −1.26680 | + | 0.461077i | ||||
\(987\) | −11.3490 | − | 2.23892i | −0.361242 | − | 0.0712656i | ||||
\(988\) | −0.922081 | − | 5.22938i | −0.0293353 | − | 0.166369i | ||||
\(989\) | 0.613266 | − | 1.06221i | 0.0195007 | − | 0.0337762i | ||||
\(990\) | 0.395086 | + | 0.162198i | 0.0125567 | + | 0.00515498i | ||||
\(991\) | 19.7972 | + | 34.2898i | 0.628880 | + | 1.08925i | 0.987777 | + | 0.155875i | \(0.0498197\pi\) |
−0.358897 | + | 0.933377i | \(0.616847\pi\) | |||||||
\(992\) | 1.09812 | − | 0.921435i | 0.0348654 | − | 0.0292556i | ||||
\(993\) | −27.7041 | − | 34.4077i | −0.879163 | − | 1.09190i | ||||
\(994\) | −0.865214 | + | 4.90687i | −0.0274429 | + | 0.155637i | ||||
\(995\) | −0.0589050 | − | 0.0494272i | −0.00186741 | − | 0.00156695i | ||||
\(996\) | −11.0550 | + | 6.08758i | −0.350290 | + | 0.192892i | ||||
\(997\) | −37.9539 | − | 13.8141i | −1.20201 | − | 0.437497i | −0.338086 | − | 0.941115i | \(-0.609779\pi\) |
−0.863926 | + | 0.503619i | \(0.832002\pi\) | |||||||
\(998\) | 15.4938 | 0.490447 | ||||||||
\(999\) | 24.0958 | + | 15.9365i | 0.762357 | + | 0.504210i |
(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 | 378.2.u.c.85.2 | ✓ | 24 | |
27.7 | even | 9 | inner | 378.2.u.c.169.2 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
378.2.u.c.85.2 | ✓ | 24 | 1.1 | even | 1 | trivial | |
378.2.u.c.169.2 | yes | 24 | 27.7 | even | 9 | inner |