Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [138,2,Mod(13,138)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(138, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("138.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 138 = 2 \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 138.e (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.10193554789\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\Q(\zeta_{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 73.1 | ||
Root | \(-0.415415 - 0.909632i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 138.73 |
Dual form | 138.2.e.b.121.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(97\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.415415 | + | 0.909632i | 0.293743 | + | 0.643207i | ||||
\(3\) | 0.959493 | − | 0.281733i | 0.553964 | − | 0.162658i | ||||
\(4\) | −0.654861 | + | 0.755750i | −0.327430 | + | 0.377875i | ||||
\(5\) | 0.273100 | + | 0.175511i | 0.122134 | + | 0.0784908i | 0.600282 | − | 0.799789i | \(-0.295055\pi\) |
−0.478147 | + | 0.878280i | \(0.658692\pi\) | |||||||
\(6\) | 0.654861 | + | 0.755750i | 0.267346 | + | 0.308533i | ||||
\(7\) | 0.346156 | + | 2.40757i | 0.130835 | + | 0.909974i | 0.944470 | + | 0.328598i | \(0.106576\pi\) |
−0.813635 | + | 0.581376i | \(0.802515\pi\) | |||||||
\(8\) | −0.959493 | − | 0.281733i | −0.339232 | − | 0.0996075i | ||||
\(9\) | 0.841254 | − | 0.540641i | 0.280418 | − | 0.180214i | ||||
\(10\) | −0.0462003 | + | 0.321330i | −0.0146098 | + | 0.101614i | ||||
\(11\) | 1.41245 | − | 3.09283i | 0.425869 | − | 0.932523i | −0.568110 | − | 0.822953i | \(-0.692325\pi\) |
0.993979 | − | 0.109571i | \(-0.0349476\pi\) | |||||||
\(12\) | −0.415415 | + | 0.909632i | −0.119920 | + | 0.262588i | ||||
\(13\) | −0.0383314 | + | 0.266601i | −0.0106312 | + | 0.0739417i | −0.994446 | − | 0.105245i | \(-0.966437\pi\) |
0.983815 | + | 0.179186i | \(0.0573465\pi\) | |||||||
\(14\) | −2.04620 | + | 1.31501i | −0.546870 | + | 0.351452i | ||||
\(15\) | 0.311485 | + | 0.0914602i | 0.0804250 | + | 0.0236149i | ||||
\(16\) | −0.142315 | − | 0.989821i | −0.0355787 | − | 0.247455i | ||||
\(17\) | −3.17486 | − | 3.66399i | −0.770017 | − | 0.888648i | 0.226329 | − | 0.974051i | \(-0.427328\pi\) |
−0.996346 | + | 0.0854034i | \(0.972782\pi\) | |||||||
\(18\) | 0.841254 | + | 0.540641i | 0.198285 | + | 0.127430i | ||||
\(19\) | −2.63587 | + | 3.04196i | −0.604711 | + | 0.697874i | −0.972729 | − | 0.231945i | \(-0.925491\pi\) |
0.368018 | + | 0.929819i | \(0.380037\pi\) | |||||||
\(20\) | −0.311485 | + | 0.0914602i | −0.0696501 | + | 0.0204511i | ||||
\(21\) | 1.01042 | + | 2.21252i | 0.220492 | + | 0.482811i | ||||
\(22\) | 3.40009 | 0.724901 | ||||||||
\(23\) | −4.20014 | − | 2.31491i | −0.875790 | − | 0.482692i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | −2.03330 | − | 4.45230i | −0.406659 | − | 0.890459i | ||||
\(26\) | −0.258432 | + | 0.0758824i | −0.0506827 | + | 0.0148818i | ||||
\(27\) | 0.654861 | − | 0.755750i | 0.126028 | − | 0.145444i | ||||
\(28\) | −2.04620 | − | 1.31501i | −0.386696 | − | 0.248514i | ||||
\(29\) | −1.31585 | − | 1.51857i | −0.244347 | − | 0.281991i | 0.620307 | − | 0.784359i | \(-0.287008\pi\) |
−0.864654 | + | 0.502368i | \(0.832462\pi\) | |||||||
\(30\) | 0.0462003 | + | 0.321330i | 0.00843499 | + | 0.0586667i | ||||
\(31\) | 9.12052 | + | 2.67803i | 1.63809 | + | 0.480988i | 0.965798 | − | 0.259294i | \(-0.0834900\pi\) |
0.672296 | + | 0.740282i | \(0.265308\pi\) | |||||||
\(32\) | 0.841254 | − | 0.540641i | 0.148714 | − | 0.0955727i | ||||
\(33\) | 0.483883 | − | 3.36548i | 0.0842332 | − | 0.585855i | ||||
\(34\) | 2.01399 | − | 4.41003i | 0.345397 | − | 0.756314i | ||||
\(35\) | −0.328019 | + | 0.718261i | −0.0554453 | + | 0.121408i | ||||
\(36\) | −0.142315 | + | 0.989821i | −0.0237191 | + | 0.164970i | ||||
\(37\) | −1.69708 | + | 1.09065i | −0.278998 | + | 0.179301i | −0.672655 | − | 0.739956i | \(-0.734846\pi\) |
0.393657 | + | 0.919257i | \(0.371210\pi\) | |||||||
\(38\) | −3.86205 | − | 1.13400i | −0.626507 | − | 0.183959i | ||||
\(39\) | 0.0383314 | + | 0.266601i | 0.00613793 | + | 0.0426903i | ||||
\(40\) | −0.212591 | − | 0.245343i | −0.0336135 | − | 0.0387921i | ||||
\(41\) | −2.19148 | − | 1.40838i | −0.342252 | − | 0.219952i | 0.358211 | − | 0.933641i | \(-0.383387\pi\) |
−0.700463 | + | 0.713689i | \(0.747023\pi\) | |||||||
\(42\) | −1.59283 | + | 1.83823i | −0.245779 | + | 0.283645i | ||||
\(43\) | −3.77617 | + | 1.10878i | −0.575860 | + | 0.169088i | −0.556678 | − | 0.830728i | \(-0.687924\pi\) |
−0.0191821 | + | 0.999816i | \(0.506106\pi\) | |||||||
\(44\) | 1.41245 | + | 3.09283i | 0.212935 | + | 0.466262i | ||||
\(45\) | 0.324635 | 0.0483937 | ||||||||
\(46\) | 0.360914 | − | 4.78223i | 0.0532138 | − | 0.705102i | ||||
\(47\) | 5.19874 | 0.758314 | 0.379157 | − | 0.925332i | \(-0.376214\pi\) | ||||
0.379157 | + | 0.925332i | \(0.376214\pi\) | |||||||
\(48\) | −0.415415 | − | 0.909632i | −0.0599600 | − | 0.131294i | ||||
\(49\) | 1.03990 | − | 0.305343i | 0.148558 | − | 0.0436204i | ||||
\(50\) | 3.20529 | − | 3.69910i | 0.453296 | − | 0.523132i | ||||
\(51\) | −4.07852 | − | 2.62111i | −0.571108 | − | 0.367029i | ||||
\(52\) | −0.176382 | − | 0.203555i | −0.0244597 | − | 0.0282280i | ||||
\(53\) | 0.153701 | + | 1.06902i | 0.0211125 | + | 0.146841i | 0.997651 | − | 0.0685024i | \(-0.0218221\pi\) |
−0.976538 | + | 0.215343i | \(0.930913\pi\) | |||||||
\(54\) | 0.959493 | + | 0.281733i | 0.130570 | + | 0.0383389i | ||||
\(55\) | 0.928565 | − | 0.596752i | 0.125208 | − | 0.0804661i | ||||
\(56\) | 0.346156 | − | 2.40757i | 0.0462570 | − | 0.321724i | ||||
\(57\) | −1.67208 | + | 3.66135i | −0.221473 | + | 0.484958i | ||||
\(58\) | 0.834716 | − | 1.82777i | 0.109604 | − | 0.239998i | ||||
\(59\) | −1.40970 | + | 9.80465i | −0.183527 | + | 1.27646i | 0.664815 | + | 0.747008i | \(0.268510\pi\) |
−0.848342 | + | 0.529449i | \(0.822399\pi\) | |||||||
\(60\) | −0.273100 | + | 0.175511i | −0.0352571 | + | 0.0226584i | ||||
\(61\) | −4.17439 | − | 1.22571i | −0.534476 | − | 0.156936i | 0.00334638 | − | 0.999994i | \(-0.498935\pi\) |
−0.537823 | + | 0.843058i | \(0.680753\pi\) | |||||||
\(62\) | 1.35278 | + | 9.40881i | 0.171804 | + | 1.19492i | ||||
\(63\) | 1.59283 | + | 1.83823i | 0.200678 | + | 0.231595i | ||||
\(64\) | 0.841254 | + | 0.540641i | 0.105157 | + | 0.0675801i | ||||
\(65\) | −0.0572596 | + | 0.0660811i | −0.00710218 | + | 0.00819635i | ||||
\(66\) | 3.26236 | − | 0.957916i | 0.401569 | − | 0.117911i | ||||
\(67\) | 4.26754 | + | 9.34461i | 0.521363 | + | 1.14163i | 0.968921 | + | 0.247371i | \(0.0795666\pi\) |
−0.447558 | + | 0.894255i | \(0.647706\pi\) | |||||||
\(68\) | 4.84815 | 0.587925 | ||||||||
\(69\) | −4.68219 | − | 1.03782i | −0.563670 | − | 0.124939i | ||||
\(70\) | −0.789617 | −0.0943772 | ||||||||
\(71\) | 4.74835 | + | 10.3974i | 0.563526 | + | 1.23395i | 0.950174 | + | 0.311721i | \(0.100906\pi\) |
−0.386648 | + | 0.922227i | \(0.626367\pi\) | |||||||
\(72\) | −0.959493 | + | 0.281733i | −0.113077 | + | 0.0332025i | ||||
\(73\) | 0.746117 | − | 0.861065i | 0.0873264 | − | 0.100780i | −0.710405 | − | 0.703794i | \(-0.751488\pi\) |
0.797731 | + | 0.603013i | \(0.206033\pi\) | |||||||
\(74\) | −1.69708 | − | 1.09065i | −0.197281 | − | 0.126785i | ||||
\(75\) | −3.20529 | − | 3.69910i | −0.370115 | − | 0.427135i | ||||
\(76\) | −0.572830 | − | 3.98412i | −0.0657081 | − | 0.457010i | ||||
\(77\) | 7.93512 | + | 2.32996i | 0.904291 | + | 0.265524i | ||||
\(78\) | −0.226585 | + | 0.145617i | −0.0256557 | + | 0.0164879i | ||||
\(79\) | −2.28482 | + | 15.8912i | −0.257062 | + | 1.78791i | 0.296434 | + | 0.955053i | \(0.404203\pi\) |
−0.553496 | + | 0.832852i | \(0.686707\pi\) | |||||||
\(80\) | 0.134858 | − | 0.295298i | 0.0150776 | − | 0.0330153i | ||||
\(81\) | 0.415415 | − | 0.909632i | 0.0461572 | − | 0.101070i | ||||
\(82\) | 0.370733 | − | 2.57850i | 0.0409406 | − | 0.284748i | ||||
\(83\) | −0.887769 | + | 0.570534i | −0.0974453 | + | 0.0626243i | −0.588456 | − | 0.808529i | \(-0.700264\pi\) |
0.491011 | + | 0.871154i | \(0.336628\pi\) | |||||||
\(84\) | −2.33380 | − | 0.685265i | −0.254638 | − | 0.0747685i | ||||
\(85\) | −0.223986 | − | 1.55786i | −0.0242947 | − | 0.168973i | ||||
\(86\) | −2.57726 | − | 2.97432i | −0.277913 | − | 0.320729i | ||||
\(87\) | −1.69038 | − | 1.08634i | −0.181227 | − | 0.116468i | ||||
\(88\) | −2.22659 | + | 2.56962i | −0.237355 | + | 0.273922i | ||||
\(89\) | 2.62982 | − | 0.772185i | 0.278761 | − | 0.0818515i | −0.139364 | − | 0.990241i | \(-0.544506\pi\) |
0.418124 | + | 0.908390i | \(0.362688\pi\) | |||||||
\(90\) | 0.134858 | + | 0.295298i | 0.0142153 | + | 0.0311272i | ||||
\(91\) | −0.655127 | −0.0686760 | ||||||||
\(92\) | 4.50000 | − | 1.65831i | 0.469157 | − | 0.172891i | ||||
\(93\) | 9.50557 | 0.985681 | ||||||||
\(94\) | 2.15964 | + | 4.72894i | 0.222749 | + | 0.487753i | ||||
\(95\) | −1.25375 | + | 0.368136i | −0.128633 | + | 0.0377699i | ||||
\(96\) | 0.654861 | − | 0.755750i | 0.0668364 | − | 0.0771334i | ||||
\(97\) | −11.4477 | − | 7.35699i | −1.16234 | − | 0.746989i | −0.190279 | − | 0.981730i | \(-0.560939\pi\) |
−0.972058 | + | 0.234741i | \(0.924576\pi\) | |||||||
\(98\) | 0.709741 | + | 0.819085i | 0.0716947 | + | 0.0827401i | ||||
\(99\) | −0.483883 | − | 3.36548i | −0.0486321 | − | 0.338244i | ||||
\(100\) | 4.69635 | + | 1.37897i | 0.469635 | + | 0.137897i | ||||
\(101\) | 13.3784 | − | 8.59775i | 1.33120 | − | 0.855508i | 0.334964 | − | 0.942231i | \(-0.391276\pi\) |
0.996232 | + | 0.0867229i | \(0.0276395\pi\) | |||||||
\(102\) | 0.689964 | − | 4.79880i | 0.0683166 | − | 0.475152i | ||||
\(103\) | 5.80424 | − | 12.7095i | 0.571908 | − | 1.25230i | −0.373867 | − | 0.927482i | \(-0.621968\pi\) |
0.945775 | − | 0.324822i | \(-0.105304\pi\) | |||||||
\(104\) | 0.111889 | − | 0.245002i | 0.0109716 | − | 0.0240244i | ||||
\(105\) | −0.112374 | + | 0.781580i | −0.0109666 | + | 0.0762744i | ||||
\(106\) | −0.908562 | + | 0.583898i | −0.0882474 | + | 0.0567132i | ||||
\(107\) | −10.3547 | − | 3.04042i | −1.00103 | − | 0.293928i | −0.260150 | − | 0.965568i | \(-0.583772\pi\) |
−0.740878 | + | 0.671640i | \(0.765590\pi\) | |||||||
\(108\) | 0.142315 | + | 0.989821i | 0.0136943 | + | 0.0952456i | ||||
\(109\) | −10.7122 | − | 12.3625i | −1.02604 | − | 1.18411i | −0.982728 | − | 0.185053i | \(-0.940754\pi\) |
−0.0433129 | − | 0.999062i | \(-0.513791\pi\) | |||||||
\(110\) | 0.928565 | + | 0.596752i | 0.0885352 | + | 0.0568981i | ||||
\(111\) | −1.32106 | + | 1.52459i | −0.125390 | + | 0.144708i | ||||
\(112\) | 2.33380 | − | 0.685265i | 0.220523 | − | 0.0647514i | ||||
\(113\) | 8.29160 | + | 18.1561i | 0.780008 | + | 1.70798i | 0.703264 | + | 0.710928i | \(0.251725\pi\) |
0.0767435 | + | 0.997051i | \(0.475548\pi\) | |||||||
\(114\) | −4.02509 | −0.376984 | ||||||||
\(115\) | −0.740768 | − | 1.36937i | −0.0690770 | − | 0.127695i | ||||
\(116\) | 2.00935 | 0.186564 | ||||||||
\(117\) | 0.111889 | + | 0.245002i | 0.0103441 | + | 0.0226505i | ||||
\(118\) | −9.50423 | + | 2.79070i | −0.874936 | + | 0.256904i | ||||
\(119\) | 7.72229 | − | 8.91200i | 0.707901 | − | 0.816962i | ||||
\(120\) | −0.273100 | − | 0.175511i | −0.0249305 | − | 0.0160219i | ||||
\(121\) | −0.367120 | − | 0.423679i | −0.0333745 | − | 0.0385163i | ||||
\(122\) | −0.619158 | − | 4.30634i | −0.0560560 | − | 0.389878i | ||||
\(123\) | −2.49950 | − | 0.733919i | −0.225372 | − | 0.0661752i | ||||
\(124\) | −7.99659 | + | 5.13910i | −0.718115 | + | 0.461505i | ||||
\(125\) | 0.457135 | − | 3.17944i | 0.0408874 | − | 0.284378i | ||||
\(126\) | −1.01042 | + | 2.21252i | −0.0900157 | + | 0.197107i | ||||
\(127\) | −2.26242 | + | 4.95402i | −0.200758 | + | 0.439598i | −0.983056 | − | 0.183306i | \(-0.941320\pi\) |
0.782298 | + | 0.622904i | \(0.214047\pi\) | |||||||
\(128\) | −0.142315 | + | 0.989821i | −0.0125790 | + | 0.0874887i | ||||
\(129\) | −3.31083 | + | 2.12774i | −0.291502 | + | 0.187337i | ||||
\(130\) | −0.0838960 | − | 0.0246341i | −0.00735816 | − | 0.00216055i | ||||
\(131\) | −2.17843 | − | 15.1513i | −0.190330 | − | 1.32378i | −0.831134 | − | 0.556072i | \(-0.812308\pi\) |
0.640804 | − | 0.767704i | \(-0.278601\pi\) | |||||||
\(132\) | 2.22659 | + | 2.56962i | 0.193799 | + | 0.223656i | ||||
\(133\) | −8.23614 | − | 5.29305i | −0.714164 | − | 0.458966i | ||||
\(134\) | −6.72736 | + | 7.76378i | −0.581155 | + | 0.670689i | ||||
\(135\) | 0.311485 | − | 0.0914602i | 0.0268083 | − | 0.00787164i | ||||
\(136\) | 2.01399 | + | 4.41003i | 0.172699 | + | 0.378157i | ||||
\(137\) | −17.0753 | −1.45884 | −0.729419 | − | 0.684067i | \(-0.760209\pi\) | ||||
−0.729419 | + | 0.684067i | \(0.760209\pi\) | |||||||
\(138\) | −1.00102 | − | 4.69020i | −0.0852122 | − | 0.399256i | ||||
\(139\) | 16.2779 | 1.38067 | 0.690337 | − | 0.723488i | \(-0.257462\pi\) | ||||
0.690337 | + | 0.723488i | \(0.257462\pi\) | |||||||
\(140\) | −0.328019 | − | 0.718261i | −0.0277226 | − | 0.0607041i | ||||
\(141\) | 4.98816 | − | 1.46465i | 0.420078 | − | 0.123346i | ||||
\(142\) | −7.48531 | + | 8.63850i | −0.628153 | + | 0.724927i | ||||
\(143\) | 0.770409 | + | 0.495112i | 0.0644249 | + | 0.0414033i | ||||
\(144\) | −0.654861 | − | 0.755750i | −0.0545717 | − | 0.0629791i | ||||
\(145\) | −0.0928329 | − | 0.645667i | −0.00770935 | − | 0.0536197i | ||||
\(146\) | 1.09320 | + | 0.320993i | 0.0904740 | + | 0.0265655i | ||||
\(147\) | 0.911754 | − | 0.585949i | 0.0752002 | − | 0.0483283i | ||||
\(148\) | 0.287095 | − | 1.99679i | 0.0235990 | − | 0.164135i | ||||
\(149\) | −0.677312 | + | 1.48311i | −0.0554875 | + | 0.121501i | −0.935345 | − | 0.353737i | \(-0.884911\pi\) |
0.879857 | + | 0.475238i | \(0.157638\pi\) | |||||||
\(150\) | 2.03330 | − | 4.45230i | 0.166018 | − | 0.363528i | ||||
\(151\) | 1.67452 | − | 11.6466i | 0.136271 | − | 0.947784i | −0.800871 | − | 0.598836i | \(-0.795630\pi\) |
0.937142 | − | 0.348948i | \(-0.113461\pi\) | |||||||
\(152\) | 3.38612 | − | 2.17613i | 0.274651 | − | 0.176507i | ||||
\(153\) | −4.65177 | − | 1.36588i | −0.376073 | − | 0.110425i | ||||
\(154\) | 1.17696 | + | 8.18594i | 0.0948422 | + | 0.659642i | ||||
\(155\) | 2.02079 | + | 2.33212i | 0.162314 | + | 0.187320i | ||||
\(156\) | −0.226585 | − | 0.145617i | −0.0181413 | − | 0.0116587i | ||||
\(157\) | −6.55287 | + | 7.56242i | −0.522976 | + | 0.603547i | −0.954374 | − | 0.298615i | \(-0.903475\pi\) |
0.431397 | + | 0.902162i | \(0.358021\pi\) | |||||||
\(158\) | −15.4043 | + | 4.52312i | −1.22550 | + | 0.359840i | ||||
\(159\) | 0.448652 | + | 0.982412i | 0.0355805 | + | 0.0779103i | ||||
\(160\) | 0.324635 | 0.0256646 | ||||||||
\(161\) | 4.11939 | − | 10.9134i | 0.324654 | − | 0.860099i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | −6.62141 | − | 14.4989i | −0.518629 | − | 1.13564i | −0.969956 | − | 0.243280i | \(-0.921777\pi\) |
0.451327 | − | 0.892358i | \(-0.350951\pi\) | |||||||
\(164\) | 2.49950 | − | 0.733919i | 0.195178 | − | 0.0573094i | ||||
\(165\) | 0.722827 | − | 0.834187i | 0.0562720 | − | 0.0649414i | ||||
\(166\) | −0.887769 | − | 0.570534i | −0.0689042 | − | 0.0442820i | ||||
\(167\) | 6.24539 | + | 7.20756i | 0.483283 | + | 0.557738i | 0.944058 | − | 0.329779i | \(-0.106974\pi\) |
−0.460775 | + | 0.887517i | \(0.652429\pi\) | |||||||
\(168\) | −0.346156 | − | 2.40757i | −0.0267065 | − | 0.185748i | ||||
\(169\) | 12.4038 | + | 3.64208i | 0.954139 | + | 0.280160i | ||||
\(170\) | 1.32403 | − | 0.850903i | 0.101549 | − | 0.0652613i | ||||
\(171\) | −0.572830 | + | 3.98412i | −0.0438054 | + | 0.304673i | ||||
\(172\) | 1.63490 | − | 3.57994i | 0.124660 | − | 0.272968i | ||||
\(173\) | −10.2734 | + | 22.4956i | −0.781073 | + | 1.71031i | −0.0804749 | + | 0.996757i | \(0.525644\pi\) |
−0.700599 | + | 0.713556i | \(0.747084\pi\) | |||||||
\(174\) | 0.285961 | − | 1.98890i | 0.0216786 | − | 0.150778i | ||||
\(175\) | 10.0154 | − | 6.43648i | 0.757090 | − | 0.486552i | ||||
\(176\) | −3.26236 | − | 0.957916i | −0.245910 | − | 0.0722056i | ||||
\(177\) | 1.40970 | + | 9.80465i | 0.105959 | + | 0.736963i | ||||
\(178\) | 1.79487 | + | 2.07139i | 0.134531 | + | 0.155257i | ||||
\(179\) | −22.1656 | − | 14.2450i | −1.65674 | − | 1.06472i | −0.922629 | − | 0.385690i | \(-0.873964\pi\) |
−0.734109 | − | 0.679031i | \(-0.762400\pi\) | |||||||
\(180\) | −0.212591 | + | 0.245343i | −0.0158456 | + | 0.0182868i | ||||
\(181\) | 17.4405 | − | 5.12099i | 1.29634 | − | 0.380640i | 0.440441 | − | 0.897781i | \(-0.354822\pi\) |
0.855900 | + | 0.517141i | \(0.173004\pi\) | |||||||
\(182\) | −0.272150 | − | 0.595925i | −0.0201731 | − | 0.0441729i | ||||
\(183\) | −4.35062 | −0.321607 | ||||||||
\(184\) | 3.37782 | + | 3.40446i | 0.249016 | + | 0.250980i | ||||
\(185\) | −0.654892 | −0.0481486 | ||||||||
\(186\) | 3.94875 | + | 8.64657i | 0.289537 | + | 0.633997i | ||||
\(187\) | −15.8164 | + | 4.64412i | −1.15661 | + | 0.339612i | ||||
\(188\) | −3.40445 | + | 3.92895i | −0.248295 | + | 0.286548i | ||||
\(189\) | 2.04620 | + | 1.31501i | 0.148839 | + | 0.0956531i | ||||
\(190\) | −0.855697 | − | 0.987527i | −0.0620788 | − | 0.0716427i | ||||
\(191\) | −1.11756 | − | 7.77277i | −0.0808635 | − | 0.562418i | −0.989467 | − | 0.144758i | \(-0.953760\pi\) |
0.908604 | − | 0.417660i | \(-0.137150\pi\) | |||||||
\(192\) | 0.959493 | + | 0.281733i | 0.0692454 | + | 0.0203323i | ||||
\(193\) | 19.8354 | − | 12.7474i | 1.42778 | − | 0.917580i | 0.427877 | − | 0.903837i | \(-0.359262\pi\) |
0.999906 | − | 0.0137432i | \(-0.00437474\pi\) | |||||||
\(194\) | 1.93661 | − | 13.4694i | 0.139040 | − | 0.967046i | ||||
\(195\) | −0.0363230 | + | 0.0795362i | −0.00260114 | + | 0.00569571i | ||||
\(196\) | −0.450229 | + | 0.985863i | −0.0321592 | + | 0.0704188i | ||||
\(197\) | −1.31791 | + | 9.16623i | −0.0938969 | + | 0.653067i | 0.887462 | + | 0.460881i | \(0.152467\pi\) |
−0.981359 | + | 0.192186i | \(0.938442\pi\) | |||||||
\(198\) | 2.86034 | − | 1.83823i | 0.203275 | − | 0.130637i | ||||
\(199\) | 24.6763 | + | 7.24561i | 1.74926 | + | 0.513628i | 0.990472 | − | 0.137715i | \(-0.0439757\pi\) |
0.758784 | + | 0.651343i | \(0.225794\pi\) | |||||||
\(200\) | 0.696576 | + | 4.84479i | 0.0492554 | + | 0.342579i | ||||
\(201\) | 6.72736 | + | 7.76378i | 0.474511 | + | 0.547615i | ||||
\(202\) | 13.3784 | + | 8.59775i | 0.941298 | + | 0.604936i | ||||
\(203\) | 3.20056 | − | 3.69365i | 0.224636 | − | 0.259243i | ||||
\(204\) | 4.65177 | − | 1.36588i | 0.325689 | − | 0.0956309i | ||||
\(205\) | −0.351308 | − | 0.769258i | −0.0245364 | − | 0.0537273i | ||||
\(206\) | 13.9721 | 0.973485 | ||||||||
\(207\) | −4.78492 | + | 0.323343i | −0.332575 | + | 0.0224739i | ||||
\(208\) | 0.269342 | 0.0186755 | ||||||||
\(209\) | 5.68523 | + | 12.4489i | 0.393256 | + | 0.861110i | ||||
\(210\) | −0.757632 | + | 0.222461i | −0.0522816 | + | 0.0153512i | ||||
\(211\) | −12.8865 | + | 14.8718i | −0.887140 | + | 1.02381i | 0.112405 | + | 0.993662i | \(0.464145\pi\) |
−0.999545 | + | 0.0301522i | \(0.990401\pi\) | |||||||
\(212\) | −0.908562 | − | 0.583898i | −0.0624003 | − | 0.0401023i | ||||
\(213\) | 7.48531 | + | 8.63850i | 0.512885 | + | 0.591901i | ||||
\(214\) | −1.53584 | − | 10.6820i | −0.104988 | − | 0.730207i | ||||
\(215\) | −1.22588 | − | 0.359950i | −0.0836040 | − | 0.0245484i | ||||
\(216\) | −0.841254 | + | 0.540641i | −0.0572401 | + | 0.0367859i | ||||
\(217\) | −3.29041 | + | 22.8853i | −0.223367 | + | 1.55355i | ||||
\(218\) | 6.79534 | − | 14.8797i | 0.460239 | − | 1.00778i | ||||
\(219\) | 0.473304 | − | 1.03639i | 0.0319829 | − | 0.0700329i | ||||
\(220\) | −0.157085 | + | 1.09255i | −0.0105907 | + | 0.0736599i | ||||
\(221\) | 1.09852 | − | 0.705975i | 0.0738943 | − | 0.0474890i | ||||
\(222\) | −1.93560 | − | 0.568345i | −0.129909 | − | 0.0381448i | ||||
\(223\) | 0.681744 | + | 4.74163i | 0.0456529 | + | 0.317523i | 0.999833 | + | 0.0182893i | \(0.00582198\pi\) |
−0.954180 | + | 0.299234i | \(0.903269\pi\) | |||||||
\(224\) | 1.59283 | + | 1.83823i | 0.106426 | + | 0.122822i | ||||
\(225\) | −4.11761 | − | 2.64623i | −0.274507 | − | 0.176415i | ||||
\(226\) | −13.0709 | + | 15.0846i | −0.869462 | + | 1.00341i | ||||
\(227\) | −5.78973 | + | 1.70002i | −0.384278 | + | 0.112834i | −0.468165 | − | 0.883641i | \(-0.655085\pi\) |
0.0838870 | + | 0.996475i | \(0.473267\pi\) | |||||||
\(228\) | −1.67208 | − | 3.66135i | −0.110736 | − | 0.242479i | ||||
\(229\) | 7.27420 | 0.480692 | 0.240346 | − | 0.970687i | \(-0.422739\pi\) | ||||
0.240346 | + | 0.970687i | \(0.422739\pi\) | |||||||
\(230\) | 0.937899 | − | 1.24268i | 0.0618432 | − | 0.0819402i | ||||
\(231\) | 8.27012 | 0.544134 | ||||||||
\(232\) | 0.834716 | + | 1.82777i | 0.0548018 | + | 0.119999i | ||||
\(233\) | −8.07753 | + | 2.37178i | −0.529177 | + | 0.155380i | −0.535397 | − | 0.844600i | \(-0.679838\pi\) |
0.00622046 | + | 0.999981i | \(0.498020\pi\) | |||||||
\(234\) | −0.176382 | + | 0.203555i | −0.0115304 | + | 0.0133068i | ||||
\(235\) | 1.41978 | + | 0.912435i | 0.0926160 | + | 0.0595207i | ||||
\(236\) | −6.48671 | − | 7.48606i | −0.422249 | − | 0.487301i | ||||
\(237\) | 2.28482 | + | 15.8912i | 0.148415 | + | 1.03225i | ||||
\(238\) | 11.3146 | + | 3.32227i | 0.733416 | + | 0.215351i | ||||
\(239\) | −4.34097 | + | 2.78977i | −0.280794 | + | 0.180455i | −0.673456 | − | 0.739228i | \(-0.735191\pi\) |
0.392662 | + | 0.919683i | \(0.371554\pi\) | |||||||
\(240\) | 0.0462003 | − | 0.321330i | 0.00298222 | − | 0.0207418i | ||||
\(241\) | 6.49297 | − | 14.2176i | 0.418249 | − | 0.915838i | −0.576840 | − | 0.816857i | \(-0.695714\pi\) |
0.995089 | − | 0.0989810i | \(-0.0315583\pi\) | |||||||
\(242\) | 0.232885 | − | 0.509947i | 0.0149704 | − | 0.0327806i | ||||
\(243\) | 0.142315 | − | 0.989821i | 0.00912950 | − | 0.0634971i | ||||
\(244\) | 3.65998 | − | 2.35212i | 0.234306 | − | 0.150579i | ||||
\(245\) | 0.337589 | + | 0.0991250i | 0.0215677 | + | 0.00633286i | ||||
\(246\) | −0.370733 | − | 2.57850i | −0.0236371 | − | 0.164399i | ||||
\(247\) | −0.709952 | − | 0.819328i | −0.0451732 | − | 0.0521326i | ||||
\(248\) | −7.99659 | − | 5.13910i | −0.507784 | − | 0.326333i | ||||
\(249\) | −0.691070 | + | 0.797537i | −0.0437948 | + | 0.0505419i | ||||
\(250\) | 3.08202 | − | 0.904963i | 0.194924 | − | 0.0572349i | ||||
\(251\) | −5.76758 | − | 12.6292i | −0.364047 | − | 0.797151i | −0.999683 | − | 0.0251628i | \(-0.991990\pi\) |
0.635637 | − | 0.771988i | \(-0.280738\pi\) | |||||||
\(252\) | −2.43232 | −0.153222 | ||||||||
\(253\) | −13.0921 | + | 9.72064i | −0.823094 | + | 0.611131i | ||||
\(254\) | −5.44618 | −0.341724 | ||||||||
\(255\) | −0.653813 | − | 1.43165i | −0.0409433 | − | 0.0896534i | ||||
\(256\) | −0.959493 | + | 0.281733i | −0.0599683 | + | 0.0176083i | ||||
\(257\) | 6.44912 | − | 7.44268i | 0.402285 | − | 0.464262i | −0.518074 | − | 0.855336i | \(-0.673351\pi\) |
0.920359 | + | 0.391074i | \(0.127896\pi\) | |||||||
\(258\) | −3.31083 | − | 2.12774i | −0.206123 | − | 0.132467i | ||||
\(259\) | −3.21325 | − | 3.70829i | −0.199662 | − | 0.230422i | ||||
\(260\) | −0.0124437 | − | 0.0865478i | −0.000771726 | − | 0.00536747i | ||||
\(261\) | −1.92796 | − | 0.566100i | −0.119338 | − | 0.0350407i | ||||
\(262\) | 12.8772 | − | 8.27565i | 0.795554 | − | 0.511271i | ||||
\(263\) | −0.0325974 | + | 0.226720i | −0.00201004 | + | 0.0139801i | −0.990802 | − | 0.135321i | \(-0.956793\pi\) |
0.988792 | + | 0.149301i | \(0.0477025\pi\) | |||||||
\(264\) | −1.41245 | + | 3.09283i | −0.0869302 | + | 0.190351i | ||||
\(265\) | −0.145648 | + | 0.318925i | −0.00894710 | + | 0.0195914i | ||||
\(266\) | 1.39331 | − | 9.69067i | 0.0854292 | − | 0.594173i | ||||
\(267\) | 2.30575 | − | 1.48181i | 0.141109 | − | 0.0906855i | ||||
\(268\) | −9.85683 | − | 2.89423i | −0.602102 | − | 0.176793i | ||||
\(269\) | 0.0615878 | + | 0.428353i | 0.00375508 | + | 0.0261171i | 0.991613 | − | 0.129244i | \(-0.0412550\pi\) |
−0.987858 | + | 0.155361i | \(0.950346\pi\) | |||||||
\(270\) | 0.212591 | + | 0.245343i | 0.0129379 | + | 0.0149311i | ||||
\(271\) | −6.12647 | − | 3.93724i | −0.372156 | − | 0.239170i | 0.341171 | − | 0.940001i | \(-0.389176\pi\) |
−0.713328 | + | 0.700831i | \(0.752813\pi\) | |||||||
\(272\) | −3.17486 | + | 3.66399i | −0.192504 | + | 0.222162i | ||||
\(273\) | −0.628590 | + | 0.184571i | −0.0380440 | + | 0.0111707i | ||||
\(274\) | −7.09332 | − | 15.5322i | −0.428523 | − | 0.938334i | ||||
\(275\) | −16.6421 | −1.00356 | ||||||||
\(276\) | 3.85052 | − | 2.85894i | 0.231774 | − | 0.172088i | ||||
\(277\) | −24.9693 | −1.50026 | −0.750130 | − | 0.661291i | \(-0.770009\pi\) | ||||
−0.750130 | + | 0.661291i | \(0.770009\pi\) | |||||||
\(278\) | 6.76209 | + | 14.8069i | 0.405563 | + | 0.888060i | ||||
\(279\) | 9.12052 | − | 2.67803i | 0.546031 | − | 0.160329i | ||||
\(280\) | 0.517089 | − | 0.596752i | 0.0309020 | − | 0.0356628i | ||||
\(281\) | −6.15876 | − | 3.95799i | −0.367401 | − | 0.236114i | 0.343893 | − | 0.939009i | \(-0.388254\pi\) |
−0.711294 | + | 0.702895i | \(0.751891\pi\) | |||||||
\(282\) | 3.40445 | + | 3.92895i | 0.202732 | + | 0.233965i | ||||
\(283\) | −1.49353 | − | 10.3877i | −0.0887812 | − | 0.617487i | −0.984829 | − | 0.173529i | \(-0.944483\pi\) |
0.896048 | − | 0.443958i | \(-0.146426\pi\) | |||||||
\(284\) | −10.9674 | − | 3.22031i | −0.650794 | − | 0.191090i | ||||
\(285\) | −1.09925 | + | 0.706447i | −0.0651141 | + | 0.0418463i | ||||
\(286\) | −0.130330 | + | 0.906466i | −0.00770658 | + | 0.0536005i | ||||
\(287\) | 2.63217 | − | 5.76366i | 0.155372 | − | 0.340218i | ||||
\(288\) | 0.415415 | − | 0.909632i | 0.0244786 | − | 0.0536006i | ||||
\(289\) | −0.925696 | + | 6.43835i | −0.0544527 | + | 0.378727i | ||||
\(290\) | 0.548755 | − | 0.352663i | 0.0322240 | − | 0.0207091i | ||||
\(291\) | −13.0567 | − | 3.83379i | −0.765396 | − | 0.224741i | ||||
\(292\) | 0.162147 | + | 1.12776i | 0.00948892 | + | 0.0659969i | ||||
\(293\) | 10.6005 | + | 12.2336i | 0.619287 | + | 0.714695i | 0.975571 | − | 0.219682i | \(-0.0705021\pi\) |
−0.356285 | + | 0.934378i | \(0.615957\pi\) | |||||||
\(294\) | 0.911754 | + | 0.585949i | 0.0531746 | + | 0.0341732i | ||||
\(295\) | −2.10581 | + | 2.43024i | −0.122605 | + | 0.141494i | ||||
\(296\) | 1.93560 | − | 0.568345i | 0.112505 | − | 0.0330344i | ||||
\(297\) | −1.41245 | − | 3.09283i | −0.0819586 | − | 0.179464i | ||||
\(298\) | −1.63045 | −0.0944492 | ||||||||
\(299\) | 0.778154 | − | 1.03103i | 0.0450018 | − | 0.0596258i | ||||
\(300\) | 4.89461 | 0.282591 | ||||||||
\(301\) | −3.97661 | − | 8.70756i | −0.229208 | − | 0.501896i | ||||
\(302\) | 11.2897 | − | 3.31496i | 0.649650 | − | 0.190754i | ||||
\(303\) | 10.4142 | − | 12.0186i | 0.598279 | − | 0.690450i | ||||
\(304\) | 3.38612 | + | 2.17613i | 0.194207 | + | 0.124810i | ||||
\(305\) | −0.924902 | − | 1.06739i | −0.0529597 | − | 0.0611188i | ||||
\(306\) | −0.689964 | − | 4.79880i | −0.0394426 | − | 0.274329i | ||||
\(307\) | −17.1271 | − | 5.02896i | −0.977494 | − | 0.287018i | −0.246304 | − | 0.969193i | \(-0.579216\pi\) |
−0.731189 | + | 0.682174i | \(0.761034\pi\) | |||||||
\(308\) | −6.95726 | + | 4.47116i | −0.396427 | + | 0.254768i | ||||
\(309\) | 1.98844 | − | 13.8299i | 0.113119 | − | 0.786757i | ||||
\(310\) | −1.28190 | + | 2.80698i | −0.0728072 | + | 0.159426i | ||||
\(311\) | −6.12144 | + | 13.4041i | −0.347115 | + | 0.760076i | 0.652882 | + | 0.757460i | \(0.273560\pi\) |
−0.999997 | + | 0.00261568i | \(0.999167\pi\) | |||||||
\(312\) | 0.0383314 | − | 0.266601i | 0.00217009 | − | 0.0150933i | ||||
\(313\) | −4.80930 | + | 3.09075i | −0.271837 | + | 0.174699i | −0.669456 | − | 0.742851i | \(-0.733473\pi\) |
0.397619 | + | 0.917551i | \(0.369837\pi\) | |||||||
\(314\) | −9.60118 | − | 2.81916i | −0.541826 | − | 0.159094i | ||||
\(315\) | 0.112374 | + | 0.781580i | 0.00633157 | + | 0.0440370i | ||||
\(316\) | −10.5136 | − | 12.1333i | −0.591434 | − | 0.682552i | ||||
\(317\) | −5.89086 | − | 3.78583i | −0.330864 | − | 0.212633i | 0.364652 | − | 0.931144i | \(-0.381188\pi\) |
−0.695516 | + | 0.718511i | \(0.744824\pi\) | |||||||
\(318\) | −0.707256 | + | 0.816217i | −0.0396610 | + | 0.0457712i | ||||
\(319\) | −6.55524 | + | 1.92479i | −0.367023 | + | 0.107768i | ||||
\(320\) | 0.134858 | + | 0.295298i | 0.00753880 | + | 0.0165077i | ||||
\(321\) | −10.7919 | −0.602343 | ||||||||
\(322\) | 11.6385 | − | 0.786474i | 0.648587 | − | 0.0438285i | ||||
\(323\) | 19.5143 | 1.08580 | ||||||||
\(324\) | 0.415415 | + | 0.909632i | 0.0230786 | + | 0.0505351i | ||||
\(325\) | 1.26492 | − | 0.371415i | 0.0701654 | − | 0.0206024i | ||||
\(326\) | 10.4380 | − | 12.0461i | 0.578107 | − | 0.667171i | ||||
\(327\) | −13.7612 | − | 8.84378i | −0.760996 | − | 0.489062i | ||||
\(328\) | 1.70593 | + | 1.96874i | 0.0941940 | + | 0.108706i | ||||
\(329\) | 1.79957 | + | 12.5163i | 0.0992137 | + | 0.690047i | ||||
\(330\) | 1.05908 | + | 0.310973i | 0.0583002 | + | 0.0171185i | ||||
\(331\) | 16.4074 | − | 10.5444i | 0.901831 | − | 0.579571i | −0.00550188 | − | 0.999985i | \(-0.501751\pi\) |
0.907333 | + | 0.420413i | \(0.138115\pi\) | |||||||
\(332\) | 0.150184 | − | 1.04455i | 0.00824241 | − | 0.0573272i | ||||
\(333\) | −0.838025 | + | 1.83502i | −0.0459235 | + | 0.100558i | ||||
\(334\) | −3.96180 | + | 8.67514i | −0.216780 | + | 0.474682i | ||||
\(335\) | −0.474614 | + | 3.30101i | −0.0259309 | + | 0.180354i | ||||
\(336\) | 2.04620 | − | 1.31501i | 0.111629 | − | 0.0717398i | ||||
\(337\) | 19.5482 | + | 5.73986i | 1.06486 | + | 0.312670i | 0.766806 | − | 0.641879i | \(-0.221845\pi\) |
0.298052 | + | 0.954550i | \(0.403663\pi\) | |||||||
\(338\) | 1.83977 | + | 12.7959i | 0.100070 | + | 0.696004i | ||||
\(339\) | 13.0709 | + | 15.0846i | 0.709913 | + | 0.819283i | ||||
\(340\) | 1.32403 | + | 0.850903i | 0.0718056 | + | 0.0461467i | ||||
\(341\) | 21.1650 | − | 24.4257i | 1.14615 | − | 1.32272i | ||||
\(342\) | −3.86205 | + | 1.13400i | −0.208836 | + | 0.0613197i | ||||
\(343\) | 8.16807 | + | 17.8856i | 0.441034 | + | 0.965730i | ||||
\(344\) | 3.93559 | 0.212193 | ||||||||
\(345\) | −1.09656 | − | 1.10520i | −0.0590367 | − | 0.0595022i | ||||
\(346\) | −24.7305 | −1.32952 | ||||||||
\(347\) | −0.778315 | − | 1.70427i | −0.0417821 | − | 0.0914901i | 0.887590 | − | 0.460634i | \(-0.152378\pi\) |
−0.929372 | + | 0.369144i | \(0.879651\pi\) | |||||||
\(348\) | 1.92796 | − | 0.566100i | 0.103350 | − | 0.0303462i | ||||
\(349\) | −10.7801 | + | 12.4409i | −0.577045 | + | 0.665945i | −0.966967 | − | 0.254903i | \(-0.917957\pi\) |
0.389922 | + | 0.920848i | \(0.372502\pi\) | |||||||
\(350\) | 10.0154 | + | 6.43648i | 0.535343 | + | 0.344044i | ||||
\(351\) | 0.176382 | + | 0.203555i | 0.00941455 | + | 0.0108650i | ||||
\(352\) | −0.483883 | − | 3.36548i | −0.0257911 | − | 0.179381i | ||||
\(353\) | 7.75497 | + | 2.27707i | 0.412756 | + | 0.121196i | 0.481516 | − | 0.876437i | \(-0.340086\pi\) |
−0.0687606 | + | 0.997633i | \(0.521904\pi\) | |||||||
\(354\) | −8.33302 | + | 5.35530i | −0.442895 | + | 0.284631i | ||||
\(355\) | −0.528087 | + | 3.67293i | −0.0280280 | + | 0.194939i | ||||
\(356\) | −1.13859 | + | 2.49316i | −0.0603451 | + | 0.132137i | ||||
\(357\) | 4.89869 | − | 10.7266i | 0.259266 | − | 0.567713i | ||||
\(358\) | 3.74976 | − | 26.0802i | 0.198181 | − | 1.37838i | ||||
\(359\) | 14.9844 | − | 9.62991i | 0.790848 | − | 0.508247i | −0.0817693 | − | 0.996651i | \(-0.526057\pi\) |
0.872618 | + | 0.488404i | \(0.162421\pi\) | |||||||
\(360\) | −0.311485 | − | 0.0914602i | −0.0164167 | − | 0.00482038i | ||||
\(361\) | 0.398287 | + | 2.77015i | 0.0209625 | + | 0.145797i | ||||
\(362\) | 11.9033 | + | 13.7371i | 0.625621 | + | 0.722005i | ||||
\(363\) | −0.471613 | − | 0.303087i | −0.0247533 | − | 0.0159080i | ||||
\(364\) | 0.429017 | − | 0.495112i | 0.0224866 | − | 0.0259509i | ||||
\(365\) | 0.354891 | − | 0.104205i | 0.0185758 | − | 0.00545436i | ||||
\(366\) | −1.80731 | − | 3.95747i | −0.0944698 | − | 0.206860i | ||||
\(367\) | −4.22445 | −0.220515 | −0.110257 | − | 0.993903i | \(-0.535167\pi\) | ||||
−0.110257 | + | 0.993903i | \(0.535167\pi\) | |||||||
\(368\) | −1.69360 | + | 4.48684i | −0.0882852 | + | 0.233893i | ||||
\(369\) | −2.60502 | −0.135612 | ||||||||
\(370\) | −0.272052 | − | 0.595711i | −0.0141433 | − | 0.0309695i | ||||
\(371\) | −2.52052 | + | 0.740093i | −0.130859 | + | 0.0384237i | ||||
\(372\) | −6.22482 | + | 7.18383i | −0.322742 | + | 0.372464i | ||||
\(373\) | −5.69542 | − | 3.66022i | −0.294898 | − | 0.189519i | 0.384823 | − | 0.922990i | \(-0.374263\pi\) |
−0.679720 | + | 0.733471i | \(0.737899\pi\) | |||||||
\(374\) | −10.7948 | − | 12.4579i | −0.558187 | − | 0.644182i | ||||
\(375\) | −0.457135 | − | 3.17944i | −0.0236063 | − | 0.164186i | ||||
\(376\) | −4.98816 | − | 1.46465i | −0.257244 | − | 0.0755338i | ||||
\(377\) | 0.455289 | − | 0.292597i | 0.0234486 | − | 0.0150695i | ||||
\(378\) | −0.346156 | + | 2.40757i | −0.0178043 | + | 0.123832i | ||||
\(379\) | 3.64990 | − | 7.99217i | 0.187483 | − | 0.410530i | −0.792428 | − | 0.609965i | \(-0.791183\pi\) |
0.979911 | + | 0.199435i | \(0.0639107\pi\) | |||||||
\(380\) | 0.542817 | − | 1.18860i | 0.0278459 | − | 0.0609740i | ||||
\(381\) | −0.775072 | + | 5.39074i | −0.0397081 | + | 0.276176i | ||||
\(382\) | 6.60611 | − | 4.24549i | 0.337998 | − | 0.217218i | ||||
\(383\) | 22.0726 | + | 6.48111i | 1.12786 | + | 0.331169i | 0.791866 | − | 0.610695i | \(-0.209110\pi\) |
0.335993 | + | 0.941864i | \(0.390928\pi\) | |||||||
\(384\) | 0.142315 | + | 0.989821i | 0.00726247 | + | 0.0505116i | ||||
\(385\) | 1.75815 | + | 2.02901i | 0.0896036 | + | 0.103408i | ||||
\(386\) | 19.8354 | + | 12.7474i | 1.00959 | + | 0.648827i | ||||
\(387\) | −2.57726 | + | 2.97432i | −0.131010 | + | 0.151193i | ||||
\(388\) | 13.0567 | − | 3.83379i | 0.662853 | − | 0.194631i | ||||
\(389\) | −2.71129 | − | 5.93689i | −0.137468 | − | 0.301012i | 0.828360 | − | 0.560195i | \(-0.189274\pi\) |
−0.965828 | + | 0.259183i | \(0.916547\pi\) | |||||||
\(390\) | −0.0874378 | −0.00442759 | ||||||||
\(391\) | 4.85308 | + | 22.7388i | 0.245431 | + | 1.14995i | ||||
\(392\) | −1.08380 | −0.0547404 | ||||||||
\(393\) | −6.35881 | − | 13.9238i | −0.320759 | − | 0.702365i | ||||
\(394\) | −8.88538 | + | 2.60898i | −0.447639 | + | 0.131439i | ||||
\(395\) | −3.41307 | + | 3.93889i | −0.171730 | + | 0.198187i | ||||
\(396\) | 2.86034 | + | 1.83823i | 0.143737 | + | 0.0923744i | ||||
\(397\) | −22.7663 | − | 26.2737i | −1.14261 | − | 1.31864i | −0.940702 | − | 0.339233i | \(-0.889833\pi\) |
−0.201904 | − | 0.979405i | \(-0.564713\pi\) | |||||||
\(398\) | 3.66006 | + | 25.4563i | 0.183462 | + | 1.27601i | ||||
\(399\) | −9.39375 | − | 2.75825i | −0.470276 | − | 0.138085i | ||||
\(400\) | −4.11761 | + | 2.64623i | −0.205880 | + | 0.132311i | ||||
\(401\) | 0.602480 | − | 4.19034i | 0.0300864 | − | 0.209256i | −0.969233 | − | 0.246145i | \(-0.920836\pi\) |
0.999319 | + | 0.0368897i | \(0.0117450\pi\) | |||||||
\(402\) | −4.26754 | + | 9.34461i | −0.212846 | + | 0.466067i | ||||
\(403\) | −1.06357 | + | 2.32888i | −0.0529800 | + | 0.116010i | ||||
\(404\) | −2.26322 | + | 15.7410i | −0.112599 | + | 0.783145i | ||||
\(405\) | 0.273100 | − | 0.175511i | 0.0135705 | − | 0.00872120i | ||||
\(406\) | 4.68942 | + | 1.37694i | 0.232732 | + | 0.0683363i | ||||
\(407\) | 0.976147 | + | 6.78925i | 0.0483858 | + | 0.336531i | ||||
\(408\) | 3.17486 | + | 3.66399i | 0.157179 | + | 0.181394i | ||||
\(409\) | 20.0119 | + | 12.8609i | 0.989526 | + | 0.635930i | 0.932017 | − | 0.362415i | \(-0.118048\pi\) |
0.0575091 | + | 0.998345i | \(0.481684\pi\) | |||||||
\(410\) | 0.553803 | − | 0.639122i | 0.0273504 | − | 0.0315640i | ||||
\(411\) | −16.3836 | + | 4.81066i | −0.808143 | + | 0.237292i | ||||
\(412\) | 5.80424 | + | 12.7095i | 0.285954 | + | 0.626152i | ||||
\(413\) | −24.0933 | −1.18555 | ||||||||
\(414\) | −2.28185 | − | 4.21819i | −0.112147 | − | 0.207313i | ||||
\(415\) | −0.342585 | −0.0168168 | ||||||||
\(416\) | 0.111889 | + | 0.245002i | 0.00548580 | + | 0.0120122i | ||||
\(417\) | 15.6185 | − | 4.58602i | 0.764844 | − | 0.224578i | ||||
\(418\) | −8.96221 | + | 10.3429i | −0.438356 | + | 0.505890i | ||||
\(419\) | 18.7601 | + | 12.0564i | 0.916490 | + | 0.588992i | 0.911637 | − | 0.410996i | \(-0.134819\pi\) |
0.00485270 | + | 0.999988i | \(0.498455\pi\) | |||||||
\(420\) | −0.517089 | − | 0.596752i | −0.0252314 | − | 0.0291185i | ||||
\(421\) | 3.40181 | + | 23.6601i | 0.165794 | + | 1.15312i | 0.887461 | + | 0.460883i | \(0.152467\pi\) |
−0.721667 | + | 0.692241i | \(0.756624\pi\) | |||||||
\(422\) | −18.8811 | − | 5.54398i | −0.919116 | − | 0.269877i | ||||
\(423\) | 4.37346 | − | 2.81065i | 0.212645 | − | 0.136659i | ||||
\(424\) | 0.153701 | − | 1.06902i | 0.00746440 | − | 0.0519161i | ||||
\(425\) | −9.85772 | + | 21.5854i | −0.478170 | + | 1.04705i | ||||
\(426\) | −4.74835 | + | 10.3974i | −0.230058 | + | 0.503758i | ||||
\(427\) | 1.50599 | − | 10.4744i | 0.0728801 | − | 0.506892i | ||||
\(428\) | 9.07869 | − | 5.83452i | 0.438835 | − | 0.282022i | ||||
\(429\) | 0.878692 | + | 0.258007i | 0.0424236 | + | 0.0124567i | ||||
\(430\) | −0.181826 | − | 1.26462i | −0.00876841 | − | 0.0609856i | ||||
\(431\) | −6.59736 | − | 7.61376i | −0.317784 | − | 0.366742i | 0.574274 | − | 0.818663i | \(-0.305284\pi\) |
−0.892058 | + | 0.451921i | \(0.850739\pi\) | |||||||
\(432\) | −0.841254 | − | 0.540641i | −0.0404748 | − | 0.0260116i | ||||
\(433\) | 21.5609 | − | 24.8827i | 1.03615 | − | 1.19578i | 0.0558185 | − | 0.998441i | \(-0.482223\pi\) |
0.980334 | − | 0.197343i | \(-0.0632314\pi\) | |||||||
\(434\) | −22.1841 | + | 6.51383i | −1.06487 | + | 0.312674i | ||||
\(435\) | −0.270978 | − | 0.593359i | −0.0129924 | − | 0.0284494i | ||||
\(436\) | 16.3580 | 0.783404 | ||||||||
\(437\) | 18.1129 | − | 6.67486i | 0.866458 | − | 0.319302i | ||||
\(438\) | 1.13935 | 0.0544404 | ||||||||
\(439\) | −7.34482 | − | 16.0829i | −0.350549 | − | 0.767595i | −0.999974 | − | 0.00716973i | \(-0.997718\pi\) |
0.649425 | − | 0.760425i | \(-0.275009\pi\) | |||||||
\(440\) | −1.05908 | + | 0.310973i | −0.0504895 | + | 0.0148250i | ||||
\(441\) | 0.709741 | − | 0.819085i | 0.0337972 | − | 0.0390040i | ||||
\(442\) | 1.09852 | + | 0.705975i | 0.0522512 | + | 0.0335798i | ||||
\(443\) | 21.3548 | + | 24.6447i | 1.01460 | + | 1.17091i | 0.985212 | + | 0.171338i | \(0.0548090\pi\) |
0.0293837 | + | 0.999568i | \(0.490646\pi\) | |||||||
\(444\) | −0.287095 | − | 1.99679i | −0.0136249 | − | 0.0947633i | ||||
\(445\) | 0.853732 | + | 0.250678i | 0.0404708 | + | 0.0118833i | ||||
\(446\) | −4.02993 | + | 2.58988i | −0.190823 | + | 0.122634i | ||||
\(447\) | −0.232037 | + | 1.61385i | −0.0109750 | + | 0.0763325i | ||||
\(448\) | −1.01042 | + | 2.21252i | −0.0477380 | + | 0.104532i | ||||
\(449\) | 14.6926 | − | 32.1724i | 0.693388 | − | 1.51831i | −0.154421 | − | 0.988005i | \(-0.549351\pi\) |
0.847809 | − | 0.530302i | \(-0.177922\pi\) | |||||||
\(450\) | 0.696576 | − | 4.84479i | 0.0328369 | − | 0.228386i | ||||
\(451\) | −7.45123 | + | 4.78862i | −0.350865 | + | 0.225487i | ||||
\(452\) | −19.1513 | − | 5.62332i | −0.900801 | − | 0.264499i | ||||
\(453\) | −1.67452 | − | 11.6466i | −0.0786760 | − | 0.547203i | ||||
\(454\) | −3.95153 | − | 4.56031i | −0.185455 | − | 0.214026i | ||||
\(455\) | −0.178915 | − | 0.114982i | −0.00838768 | − | 0.00539043i | ||||
\(456\) | 2.63587 | − | 3.04196i | 0.123436 | − | 0.142453i | ||||
\(457\) | 8.42385 | − | 2.47347i | 0.394051 | − | 0.115704i | −0.0787032 | − | 0.996898i | \(-0.525078\pi\) |
0.472754 | + | 0.881194i | \(0.343260\pi\) | |||||||
\(458\) | 3.02181 | + | 6.61684i | 0.141200 | + | 0.309185i | ||||
\(459\) | −4.84815 | −0.226292 | ||||||||
\(460\) | 1.52000 | + | 0.336913i | 0.0708705 | + | 0.0157087i | ||||
\(461\) | 12.7701 | 0.594765 | 0.297382 | − | 0.954758i | \(-0.403886\pi\) | ||||
0.297382 | + | 0.954758i | \(0.403886\pi\) | |||||||
\(462\) | 3.43553 | + | 7.52276i | 0.159835 | + | 0.349991i | ||||
\(463\) | −15.1660 | + | 4.45314i | −0.704824 | + | 0.206955i | −0.614453 | − | 0.788953i | \(-0.710623\pi\) |
−0.0903706 | + | 0.995908i | \(0.528805\pi\) | |||||||
\(464\) | −1.31585 | + | 1.51857i | −0.0610867 | + | 0.0704978i | ||||
\(465\) | 2.59597 | + | 1.66833i | 0.120385 | + | 0.0773669i | ||||
\(466\) | −5.51297 | − | 6.36231i | −0.255384 | − | 0.294728i | ||||
\(467\) | −0.494348 | − | 3.43827i | −0.0228757 | − | 0.159104i | 0.975182 | − | 0.221406i | \(-0.0710647\pi\) |
−0.998057 | + | 0.0623025i | \(0.980156\pi\) | |||||||
\(468\) | −0.258432 | − | 0.0758824i | −0.0119460 | − | 0.00350767i | ||||
\(469\) | −21.0205 | + | 13.5091i | −0.970638 | + | 0.623791i | ||||
\(470\) | −0.240184 | + | 1.67051i | −0.0110788 | + | 0.0770551i | ||||
\(471\) | −4.15686 | + | 9.10224i | −0.191538 | + | 0.419409i | ||||
\(472\) | 4.11488 | − | 9.01034i | 0.189403 | − | 0.414734i | ||||
\(473\) | −1.90436 | + | 13.2451i | −0.0875628 | + | 0.609013i | ||||
\(474\) | −13.5060 | + | 8.67981i | −0.620353 | + | 0.398677i | ||||
\(475\) | 18.9032 | + | 5.55049i | 0.867339 | + | 0.254674i | ||||
\(476\) | 1.67821 | + | 11.6722i | 0.0769208 | + | 0.534996i | ||||
\(477\) | 0.707256 | + | 0.816217i | 0.0323830 | + | 0.0373720i | ||||
\(478\) | −4.34097 | − | 2.78977i | −0.198551 | − | 0.127601i | ||||
\(479\) | −0.580042 | + | 0.669404i | −0.0265028 | + | 0.0305859i | −0.768846 | − | 0.639434i | \(-0.779169\pi\) |
0.742343 | + | 0.670020i | \(0.233714\pi\) | |||||||
\(480\) | 0.311485 | − | 0.0914602i | 0.0142173 | − | 0.00417457i | ||||
\(481\) | −0.225715 | − | 0.494248i | −0.0102917 | − | 0.0225358i | ||||
\(482\) | 15.6301 | 0.711931 | ||||||||
\(483\) | 0.877858 | − | 11.6319i | 0.0399439 | − | 0.529271i | ||||
\(484\) | 0.560608 | 0.0254822 | ||||||||
\(485\) | −1.83514 | − | 4.01839i | −0.0833292 | − | 0.182466i | ||||
\(486\) | 0.959493 | − | 0.281733i | 0.0435235 | − | 0.0127796i | ||||
\(487\) | 2.15352 | − | 2.48530i | 0.0975854 | − | 0.112620i | −0.704856 | − | 0.709350i | \(-0.748988\pi\) |
0.802442 | + | 0.596731i | \(0.203534\pi\) | |||||||
\(488\) | 3.65998 | + | 2.35212i | 0.165679 | + | 0.106476i | ||||
\(489\) | −10.4380 | − | 12.0461i | −0.472022 | − | 0.544743i | ||||
\(490\) | 0.0500722 | + | 0.348259i | 0.00226203 | + | 0.0157328i | ||||
\(491\) | −23.1280 | − | 6.79098i | −1.04375 | − | 0.306473i | −0.285461 | − | 0.958390i | \(-0.592147\pi\) |
−0.758290 | + | 0.651918i | \(0.773965\pi\) | |||||||
\(492\) | 2.19148 | − | 1.40838i | 0.0987996 | − | 0.0634947i | ||||
\(493\) | −1.38638 | + | 9.64249i | −0.0624395 | + | 0.434276i | ||||
\(494\) | 0.450363 | − | 0.986156i | 0.0202628 | − | 0.0443693i | ||||
\(495\) | 0.458530 | − | 1.00404i | 0.0206094 | − | 0.0451283i | ||||
\(496\) | 1.35278 | − | 9.40881i | 0.0607418 | − | 0.422468i | ||||
\(497\) | −23.3888 | + | 15.0311i | −1.04913 | + | 0.674237i | ||||
\(498\) | −1.01255 | − | 0.297310i | −0.0453733 | − | 0.0133228i | ||||
\(499\) | −1.93407 | − | 13.4517i | −0.0865808 | − | 0.602182i | −0.986206 | − | 0.165520i | \(-0.947070\pi\) |
0.899626 | − | 0.436662i | \(-0.143839\pi\) | |||||||
\(500\) | 2.10350 | + | 2.42757i | 0.0940714 | + | 0.108564i | ||||
\(501\) | 8.02301 | + | 5.15608i | 0.358442 | + | 0.230357i | ||||
\(502\) | 9.09203 | − | 10.4928i | 0.405797 | − | 0.468315i | ||||
\(503\) | 15.7768 | − | 4.63248i | 0.703452 | − | 0.206552i | 0.0896050 | − | 0.995977i | \(-0.471440\pi\) |
0.613847 | + | 0.789425i | \(0.289621\pi\) | |||||||
\(504\) | −1.01042 | − | 2.21252i | −0.0450078 | − | 0.0985534i | ||||
\(505\) | 5.16263 | 0.229734 | ||||||||
\(506\) | −14.2809 | − | 7.87090i | −0.634862 | − | 0.349904i | ||||
\(507\) | 12.9275 | 0.574128 | ||||||||
\(508\) | −2.26242 | − | 4.95402i | −0.100379 | − | 0.219799i | ||||
\(509\) | 24.3285 | − | 7.14351i | 1.07834 | − | 0.316630i | 0.306128 | − | 0.951990i | \(-0.400967\pi\) |
0.772216 | + | 0.635360i | \(0.219148\pi\) | |||||||
\(510\) | 1.03067 | − | 1.18946i | 0.0456389 | − | 0.0526701i | ||||
\(511\) | 2.33134 | + | 1.49826i | 0.103133 | + | 0.0662793i | ||||
\(512\) | −0.654861 | − | 0.755750i | −0.0289410 | − | 0.0333997i | ||||
\(513\) | 0.572830 | + | 3.98412i | 0.0252911 | + | 0.175903i | ||||
\(514\) | 9.44917 | + | 2.77453i | 0.416785 | + | 0.122379i | ||||
\(515\) | 3.81579 | − | 2.45226i | 0.168144 | − | 0.108060i | ||||
\(516\) | 0.560093 | − | 3.89553i | 0.0246567 | − | 0.171491i | ||||
\(517\) | 7.34295 | − | 16.0788i | 0.322943 | − | 0.707146i | ||||
\(518\) | 2.03835 | − | 4.46336i | 0.0895599 | − | 0.196109i | ||||
\(519\) | −3.51952 | + | 24.4788i | −0.154490 | + | 1.07450i | ||||
\(520\) | 0.0735574 | − | 0.0472725i | 0.00322570 | − | 0.00207303i | ||||
\(521\) | −32.0385 | − | 9.40736i | −1.40363 | − | 0.412144i | −0.509703 | − | 0.860350i | \(-0.670245\pi\) |
−0.893930 | + | 0.448206i | \(0.852063\pi\) | |||||||
\(522\) | −0.285961 | − | 1.98890i | −0.0125162 | − | 0.0870519i | ||||
\(523\) | −5.32600 | − | 6.14654i | −0.232890 | − | 0.268769i | 0.627261 | − | 0.778809i | \(-0.284176\pi\) |
−0.860151 | + | 0.510040i | \(0.829631\pi\) | |||||||
\(524\) | 12.8772 | + | 8.27565i | 0.562542 | + | 0.361523i | ||||
\(525\) | 7.79630 | − | 8.99741i | 0.340258 | − | 0.392679i | ||||
\(526\) | −0.219773 | + | 0.0645312i | −0.00958256 | + | 0.00281369i | ||||
\(527\) | −19.1442 | − | 41.9199i | −0.833933 | − | 1.82606i | ||||
\(528\) | −3.40009 | −0.147970 | ||||||||
\(529\) | 12.2824 | + | 19.4459i | 0.534017 | + | 0.845474i | ||||
\(530\) | −0.350609 | −0.0152295 | ||||||||
\(531\) | 4.11488 | + | 9.01034i | 0.178571 | + | 0.391015i | ||||
\(532\) | 9.39375 | − | 2.75825i | 0.407271 | − | 0.119585i | ||||
\(533\) | 0.459478 | − | 0.530265i | 0.0199022 | − | 0.0229683i | ||||
\(534\) | 2.30575 | + | 1.48181i | 0.0997794 | + | 0.0641243i | ||||
\(535\) | −2.29425 | − | 2.64770i | −0.0991889 | − | 0.114470i | ||||
\(536\) | −1.46199 | − | 10.1684i | −0.0631485 | − | 0.439208i | ||||
\(537\) | −25.2811 | − | 7.42319i | −1.09096 | − | 0.320334i | ||||
\(538\) | −0.364059 | + | 0.233966i | −0.0156957 | + | 0.0100870i | ||||
\(539\) | 0.524435 | − | 3.64752i | 0.0225890 | − | 0.157110i | ||||
\(540\) | −0.134858 | + | 0.295298i | −0.00580337 | + | 0.0127076i | ||||
\(541\) | 3.70936 | − | 8.12237i | 0.159478 | − | 0.349208i | −0.812978 | − | 0.582294i | \(-0.802155\pi\) |
0.972456 | + | 0.233086i | \(0.0748824\pi\) | |||||||
\(542\) | 1.03641 | − | 7.20842i | 0.0445178 | − | 0.309628i | ||||
\(543\) | 15.2913 | − | 9.82711i | 0.656211 | − | 0.421721i | ||||
\(544\) | −4.65177 | − | 1.36588i | −0.199443 | − | 0.0585617i | ||||
\(545\) | −0.755744 | − | 5.25631i | −0.0323725 | − | 0.225156i | ||||
\(546\) | −0.429017 | − | 0.495112i | −0.0183602 | − | 0.0211888i | ||||
\(547\) | 15.4714 | + | 9.94284i | 0.661507 | + | 0.425125i | 0.827855 | − | 0.560942i | \(-0.189561\pi\) |
−0.166348 | + | 0.986067i | \(0.553197\pi\) | |||||||
\(548\) | 11.1819 | − | 12.9046i | 0.477668 | − | 0.551258i | ||||
\(549\) | −4.17439 | + | 1.22571i | −0.178159 | + | 0.0523121i | ||||
\(550\) | −6.91339 | − | 15.1382i | −0.294788 | − | 0.645495i | ||||
\(551\) | 8.08783 | 0.344553 | ||||||||
\(552\) | 4.20014 | + | 2.31491i | 0.178770 | + | 0.0985291i | ||||
\(553\) | −39.0501 | −1.66058 | ||||||||
\(554\) | −10.3726 | − | 22.7129i | −0.440690 | − | 0.964977i | ||||
\(555\) | −0.628365 | + | 0.184505i | −0.0266726 | + | 0.00783178i | ||||
\(556\) | −10.6598 | + | 12.3020i | −0.452075 | + | 0.521722i | ||||
\(557\) | −12.6466 | − | 8.12745i | −0.535852 | − | 0.344371i | 0.244563 | − | 0.969633i | \(-0.421356\pi\) |
−0.780415 | + | 0.625262i | \(0.784992\pi\) | |||||||
\(558\) | 6.22482 | + | 7.18383i | 0.263518 | + | 0.304116i | ||||
\(559\) | −0.150857 | − | 1.04923i | −0.00638055 | − | 0.0443777i | ||||
\(560\) | 0.757632 | + | 0.222461i | 0.0320158 | + | 0.00940068i | ||||
\(561\) | −13.8673 | + | 8.91200i | −0.585480 | + | 0.376265i | ||||
\(562\) | 1.04188 | − | 7.24641i | 0.0439489 | − | 0.305671i | ||||
\(563\) | −19.0391 | + | 41.6898i | −0.802403 | + | 1.75702i | −0.165292 | + | 0.986245i | \(0.552857\pi\) |
−0.637110 | + | 0.770773i | \(0.719870\pi\) | |||||||
\(564\) | −2.15964 | + | 4.72894i | −0.0909370 | + | 0.199124i | ||||
\(565\) | −0.922150 | + | 6.41369i | −0.0387951 | + | 0.269826i | ||||
\(566\) | 8.82858 | − | 5.67379i | 0.371093 | − | 0.238487i | ||||
\(567\) | 2.33380 | + | 0.685265i | 0.0980103 | + | 0.0287784i | ||||
\(568\) | −1.62671 | − | 11.3140i | −0.0682553 | − | 0.474726i | ||||
\(569\) | −23.1602 | − | 26.7283i | −0.970925 | − | 1.12051i | −0.992684 | − | 0.120743i | \(-0.961472\pi\) |
0.0217592 | − | 0.999763i | \(-0.493073\pi\) | |||||||
\(570\) | −1.09925 | − | 0.706447i | −0.0460427 | − | 0.0295898i | ||||
\(571\) | −13.7788 | + | 15.9015i | −0.576623 | + | 0.665459i | −0.966875 | − | 0.255249i | \(-0.917842\pi\) |
0.390252 | + | 0.920708i | \(0.372388\pi\) | |||||||
\(572\) | −0.878692 | + | 0.258007i | −0.0367399 | + | 0.0107878i | ||||
\(573\) | −3.26213 | − | 7.14306i | −0.136277 | − | 0.298406i | ||||
\(574\) | 6.33625 | 0.264470 | ||||||||
\(575\) | −1.76653 | + | 23.4072i | −0.0736695 | + | 0.976146i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −7.08933 | − | 15.5235i | −0.295132 | − | 0.646250i | 0.702740 | − | 0.711447i | \(-0.251960\pi\) |
−0.997872 | + | 0.0651968i | \(0.979232\pi\) | |||||||
\(578\) | −6.24108 | + | 1.83255i | −0.259595 | + | 0.0762239i | ||||
\(579\) | 15.4406 | − | 17.8193i | 0.641687 | − | 0.740547i | ||||
\(580\) | 0.548755 | + | 0.352663i | 0.0227858 | + | 0.0146435i | ||||
\(581\) | −1.68090 | − | 1.93987i | −0.0697357 | − | 0.0804793i | ||||
\(582\) | −1.93661 | − | 13.4694i | −0.0802749 | − | 0.558324i | ||||
\(583\) | 3.52338 | + | 1.03456i | 0.145924 | + | 0.0428471i | ||||
\(584\) | −0.958484 | + | 0.615981i | −0.0396624 | + | 0.0254895i | ||||
\(585\) | −0.0124437 | + | 0.0865478i | −0.000514484 | + | 0.00357831i | ||||
\(586\) | −6.72448 | + | 14.7246i | −0.277786 | + | 0.608266i | ||||
\(587\) | −1.33212 | + | 2.91695i | −0.0549827 | + | 0.120395i | −0.935129 | − | 0.354307i | \(-0.884717\pi\) |
0.880147 | + | 0.474702i | \(0.157444\pi\) | |||||||
\(588\) | −0.154241 | + | 1.07277i | −0.00636081 | + | 0.0442404i | ||||
\(589\) | −32.1870 | + | 20.6853i | −1.32624 | + | 0.852324i | ||||
\(590\) | −3.08541 | − | 0.905957i | −0.127024 | − | 0.0372976i | ||||
\(591\) | 1.31791 | + | 9.16623i | 0.0542114 | + | 0.377048i | ||||
\(592\) | 1.32106 | + | 1.52459i | 0.0542954 | + | 0.0626602i | ||||
\(593\) | −6.85977 | − | 4.40851i | −0.281697 | − | 0.181036i | 0.392161 | − | 0.919897i | \(-0.371728\pi\) |
−0.673858 | + | 0.738861i | \(0.735364\pi\) | |||||||
\(594\) | 2.22659 | − | 2.56962i | 0.0913579 | − | 0.105433i | ||||
\(595\) | 3.67311 | − | 1.07852i | 0.150583 | − | 0.0442151i | ||||
\(596\) | −0.677312 | − | 1.48311i | −0.0277438 | − | 0.0607504i | ||||
\(597\) | 25.7180 | 1.05257 | ||||||||
\(598\) | 1.26111 | + | 0.279529i | 0.0515707 | + | 0.0114308i | ||||
\(599\) | −44.6481 | −1.82427 | −0.912136 | − | 0.409888i | \(-0.865568\pi\) | ||||
−0.912136 | + | 0.409888i | \(0.865568\pi\) | |||||||
\(600\) | 2.03330 | + | 4.45230i | 0.0830089 | + | 0.181764i | ||||
\(601\) | 26.6336 | − | 7.82032i | 1.08641 | − | 0.318997i | 0.310967 | − | 0.950421i | \(-0.399347\pi\) |
0.775438 | + | 0.631423i | \(0.217529\pi\) | |||||||
\(602\) | 6.26873 | − | 7.23450i | 0.255495 | − | 0.294856i | ||||
\(603\) | 8.64216 | + | 5.55398i | 0.351936 | + | 0.226176i | ||||
\(604\) | 7.70531 | + | 8.89240i | 0.313524 | + | 0.361827i | ||||
\(605\) | −0.0259003 | − | 0.180140i | −0.00105300 | − | 0.00732375i | ||||
\(606\) | 15.2587 | + | 4.48036i | 0.619843 | + | 0.182002i | ||||
\(607\) | −19.8382 | + | 12.7492i | −0.805208 | + | 0.517476i | −0.877312 | − | 0.479921i | \(-0.840665\pi\) |
0.0721032 | + | 0.997397i | \(0.477029\pi\) | |||||||
\(608\) | −0.572830 | + | 3.98412i | −0.0232313 | + | 0.161577i | ||||
\(609\) | 2.03030 | − | 4.44573i | 0.0822718 | − | 0.180150i | ||||
\(610\) | 0.586717 | − | 1.28473i | 0.0237555 | − | 0.0520173i | ||||
\(611\) | −0.199275 | + | 1.38599i | −0.00806180 | + | 0.0560711i | ||||
\(612\) | 4.07852 | − | 2.62111i | 0.164865 | − | 0.105952i | ||||
\(613\) | 31.5163 | + | 9.25402i | 1.27293 | + | 0.373766i | 0.847293 | − | 0.531126i | \(-0.178231\pi\) |
0.425639 | + | 0.904893i | \(0.360049\pi\) | |||||||
\(614\) | −2.54034 | − | 17.6684i | −0.102520 | − | 0.713040i | ||||
\(615\) | −0.553803 | − | 0.639122i | −0.0223315 | − | 0.0257719i | ||||
\(616\) | −6.95726 | − | 4.47116i | −0.280316 | − | 0.180148i | ||||
\(617\) | 15.3160 | − | 17.6756i | 0.616598 | − | 0.711592i | −0.358459 | − | 0.933545i | \(-0.616698\pi\) |
0.975057 | + | 0.221953i | \(0.0712432\pi\) | |||||||
\(618\) | 13.4062 | − | 3.93641i | 0.539275 | − | 0.158345i | ||||
\(619\) | −5.17132 | − | 11.3236i | −0.207853 | − | 0.455135i | 0.776780 | − | 0.629772i | \(-0.216852\pi\) |
−0.984633 | + | 0.174638i | \(0.944125\pi\) | |||||||
\(620\) | −3.08584 | −0.123930 | ||||||||
\(621\) | −4.50000 | + | 1.65831i | −0.180579 | + | 0.0665458i | ||||
\(622\) | −14.7357 | −0.590848 | ||||||||
\(623\) | 2.76941 | + | 6.06417i | 0.110954 | + | 0.242956i | ||||
\(624\) | 0.258432 | − | 0.0758824i | 0.0103456 | − | 0.00303773i | ||||
\(625\) | −15.3436 | + | 17.7074i | −0.613743 | + | 0.708297i | ||||
\(626\) | −4.80930 | − | 3.09075i | −0.192218 | − | 0.123531i | ||||
\(627\) | 8.96221 | + | 10.3429i | 0.357916 | + | 0.413057i | ||||
\(628\) | −1.42408 | − | 9.90466i | −0.0568268 | − | 0.395239i | ||||
\(629\) | 9.38410 | + | 2.75542i | 0.374169 | + | 0.109866i | ||||
\(630\) | −0.664268 | + | 0.426899i | −0.0264651 | + | 0.0170081i | ||||
\(631\) | −4.62178 | + | 32.1452i | −0.183990 | + | 1.27968i | 0.663221 | + | 0.748423i | \(0.269189\pi\) |
−0.847211 | + | 0.531256i | \(0.821720\pi\) | |||||||
\(632\) | 6.66935 | − | 14.6038i | 0.265292 | − | 0.580909i | ||||
\(633\) | −8.17461 | + | 17.8999i | −0.324911 | + | 0.711457i | ||||
\(634\) | 0.996557 | − | 6.93120i | 0.0395783 | − | 0.275273i | ||||
\(635\) | −1.48735 | + | 0.955863i | −0.0590238 | + | 0.0379323i | ||||
\(636\) | −1.03626 | − | 0.304274i | −0.0410905 | − | 0.0120653i | ||||
\(637\) | 0.0415437 | + | 0.288943i | 0.00164602 | + | 0.0114483i | ||||
\(638\) | −4.47400 | − | 5.16327i | −0.177127 | − | 0.204416i | ||||
\(639\) | 9.61585 | + | 6.17973i | 0.380397 | + | 0.244466i | ||||
\(640\) | −0.212591 | + | 0.245343i | −0.00840338 | + | 0.00969802i | ||||
\(641\) | −3.63617 | + | 1.06768i | −0.143620 | + | 0.0421706i | −0.352752 | − | 0.935717i | \(-0.614754\pi\) |
0.209132 | + | 0.977887i | \(0.432936\pi\) | |||||||
\(642\) | −4.48310 | − | 9.81662i | −0.176934 | − | 0.387431i | ||||
\(643\) | 16.4223 | 0.647634 | 0.323817 | − | 0.946120i | \(-0.395034\pi\) | ||||
0.323817 | + | 0.946120i | \(0.395034\pi\) | |||||||
\(644\) | 5.55020 | + | 10.2600i | 0.218708 | + | 0.404301i | ||||
\(645\) | −1.27763 | −0.0503066 | ||||||||
\(646\) | 8.10651 | + | 17.7508i | 0.318946 | + | 0.698395i | ||||
\(647\) | 4.97565 | − | 1.46098i | 0.195613 | − | 0.0574371i | −0.182459 | − | 0.983214i | \(-0.558406\pi\) |
0.378071 | + | 0.925776i | \(0.376587\pi\) | |||||||
\(648\) | −0.654861 | + | 0.755750i | −0.0257254 | + | 0.0296886i | ||||
\(649\) | 28.3330 | + | 18.2085i | 1.11217 | + | 0.714747i | ||||
\(650\) | 0.863319 | + | 0.996324i | 0.0338622 | + | 0.0390790i | ||||
\(651\) | 3.29041 | + | 22.8853i | 0.128961 | + | 0.896945i | ||||
\(652\) | 15.2936 | + | 4.49061i | 0.598944 | + | 0.175866i | ||||
\(653\) | −21.6850 | + | 13.9361i | −0.848599 | + | 0.545361i | −0.891137 | − | 0.453734i | \(-0.850092\pi\) |
0.0425387 | + | 0.999095i | \(0.486455\pi\) | |||||||
\(654\) | 2.32798 | − | 16.1915i | 0.0910312 | − | 0.633136i | ||||
\(655\) | 2.06429 | − | 4.52016i | 0.0806585 | − | 0.176617i | ||||
\(656\) | −1.08216 | + | 2.36961i | −0.0422514 | + | 0.0925177i | ||||
\(657\) | 0.162147 | − | 1.12776i | 0.00632595 | − | 0.0439979i | ||||
\(658\) | −10.6377 | + | 6.83641i | −0.414699 | + | 0.266511i | ||||
\(659\) | 42.0872 | + | 12.3579i | 1.63948 | + | 0.481396i | 0.966158 | − | 0.257951i | \(-0.0830472\pi\) |
0.673325 | + | 0.739346i | \(0.264865\pi\) | |||||||
\(660\) | 0.157085 | + | 1.09255i | 0.00611454 | + | 0.0425275i | ||||
\(661\) | −6.17600 | − | 7.12748i | −0.240218 | − | 0.277227i | 0.622820 | − | 0.782365i | \(-0.285987\pi\) |
−0.863038 | + | 0.505138i | \(0.831441\pi\) | |||||||
\(662\) | 16.4074 | + | 10.5444i | 0.637691 | + | 0.409819i | ||||
\(663\) | 0.855124 | − | 0.986866i | 0.0332103 | − | 0.0383267i | ||||
\(664\) | 1.01255 | − | 0.297310i | 0.0392944 | − | 0.0115379i | ||||
\(665\) | −1.32031 | − | 2.89106i | −0.0511992 | − | 0.112111i | ||||
\(666\) | −2.01732 | −0.0781696 | ||||||||
\(667\) | 2.01140 | + | 9.42427i | 0.0778816 | + | 0.364909i | ||||
\(668\) | −9.53697 | −0.368997 | ||||||||
\(669\) | 1.99000 | + | 4.35749i | 0.0769378 | + | 0.168470i | ||||
\(670\) | −3.19987 | + | 0.939567i | −0.123622 | + | 0.0362986i | ||||
\(671\) | −9.68703 | + | 11.1794i | −0.373964 | + | 0.431577i | ||||
\(672\) | 2.04620 | + | 1.31501i | 0.0789339 | + | 0.0507277i | ||||
\(673\) | 5.85466 | + | 6.75663i | 0.225680 | + | 0.260449i | 0.857286 | − | 0.514841i | \(-0.172149\pi\) |
−0.631605 | + | 0.775290i | \(0.717604\pi\) | |||||||
\(674\) | 2.89944 | + | 20.1661i | 0.111682 | + | 0.776768i | ||||
\(675\) | −4.69635 | − | 1.37897i | −0.180762 | − | 0.0530766i | ||||
\(676\) | −10.8753 | + | 6.98911i | −0.418280 | + | 0.268812i | ||||
\(677\) | 5.03455 | − | 35.0160i | 0.193493 | − | 1.34578i | −0.629179 | − | 0.777260i | \(-0.716609\pi\) |
0.822673 | − | 0.568515i | \(-0.192482\pi\) | |||||||
\(678\) | −8.29160 | + | 18.1561i | −0.318437 | + | 0.697280i | ||||
\(679\) | 13.7497 | − | 30.1077i | 0.527667 | − | 1.15543i | ||||
\(680\) | −0.223986 | + | 1.55786i | −0.00858948 | + | 0.0597411i | ||||
\(681\) | −5.07626 | + | 3.26231i | −0.194523 | + | 0.125012i | ||||
\(682\) | 31.0106 | + | 9.10553i | 1.18746 | + | 0.348669i | ||||
\(683\) | −4.16833 | − | 28.9914i | −0.159497 | − | 1.10932i | −0.899563 | − | 0.436790i | \(-0.856115\pi\) |
0.740067 | − | 0.672533i | \(-0.234794\pi\) | |||||||
\(684\) | −2.63587 | − | 3.04196i | −0.100785 | − | 0.116312i | ||||
\(685\) | −4.66326 | − | 2.99689i | −0.178174 | − | 0.114505i | ||||
\(686\) | −12.8761 | + | 14.8599i | −0.491614 | + | 0.567352i | ||||
\(687\) | 6.97954 | − | 2.04938i | 0.266286 | − | 0.0781886i | ||||
\(688\) | 1.63490 | + | 3.57994i | 0.0623301 | + | 0.136484i | ||||
\(689\) | −0.290892 | −0.0110821 | ||||||||
\(690\) | 0.549803 | − | 1.45658i | 0.0209306 | − | 0.0554512i | ||||
\(691\) | −20.9634 | −0.797487 | −0.398744 | − | 0.917062i | \(-0.630554\pi\) | ||||
−0.398744 | + | 0.917062i | \(0.630554\pi\) | |||||||
\(692\) | −10.2734 | − | 22.4956i | −0.390537 | − | 0.855156i | ||||
\(693\) | 7.93512 | − | 2.32996i | 0.301430 | − | 0.0885079i | ||||
\(694\) | 1.22694 | − | 1.41596i | 0.0465739 | − | 0.0537491i | ||||
\(695\) | 4.44550 | + | 2.85695i | 0.168628 | + | 0.108370i | ||||
\(696\) | 1.31585 | + | 1.51857i | 0.0498770 | + | 0.0575612i | ||||
\(697\) | 1.79737 | + | 12.5010i | 0.0680802 | + | 0.473508i | ||||
\(698\) | −15.7948 | − | 4.63778i | −0.597843 | − | 0.175543i | ||||
\(699\) | −7.08213 | + | 4.55141i | −0.267871 | + | 0.172150i | ||||
\(700\) | −1.69430 | + | 11.7841i | −0.0640384 | + | 0.445397i | ||||
\(701\) | −13.3349 | + | 29.1993i | −0.503651 | + | 1.10284i | 0.471615 | + | 0.881805i | \(0.343671\pi\) |
−0.975265 | + | 0.221037i | \(0.929056\pi\) | |||||||
\(702\) | −0.111889 | + | 0.245002i | −0.00422297 | + | 0.00924701i | ||||
\(703\) | 1.15558 | − | 8.03725i | 0.0435836 | − | 0.303131i | ||||
\(704\) | 2.86034 | − | 1.83823i | 0.107803 | − | 0.0692808i | ||||
\(705\) | 1.61933 | + | 0.475478i | 0.0609875 | + | 0.0179075i | ||||
\(706\) | 1.15024 | + | 8.00010i | 0.0432899 | + | 0.301088i | ||||
\(707\) | 25.3306 | + | 29.2331i | 0.952657 | + | 1.09942i | ||||
\(708\) | −8.33302 | − | 5.35530i | −0.313174 | − | 0.201265i | ||||
\(709\) | 22.1040 | − | 25.5094i | 0.830133 | − | 0.958025i | −0.169488 | − | 0.985532i | \(-0.554212\pi\) |
0.999622 | + | 0.0275074i | \(0.00875699\pi\) | |||||||
\(710\) | −3.56039 | + | 1.04542i | −0.133619 | + | 0.0392341i | ||||
\(711\) | 6.66935 | + | 14.6038i | 0.250120 | + | 0.547687i | ||||
\(712\) | −2.74085 | −0.102718 | ||||||||
\(713\) | −32.1081 | − | 32.3613i | −1.20246 | − | 1.21194i | ||||
\(714\) | 11.7923 | 0.441315 | ||||||||
\(715\) | 0.123501 | + | 0.270430i | 0.00461869 | + | 0.0101135i | ||||
\(716\) | 25.2811 | − | 7.42319i | 0.944798 | − | 0.277418i | ||||
\(717\) | −3.37916 | + | 3.89976i | −0.126197 | + | 0.145639i | ||||
\(718\) | 14.9844 | + | 9.62991i | 0.559214 | + | 0.359385i | ||||
\(719\) | 30.7708 | + | 35.5114i | 1.14756 | + | 1.32435i | 0.938031 | + | 0.346551i | \(0.112647\pi\) |
0.209527 | + | 0.977803i | \(0.432807\pi\) | |||||||
\(720\) | −0.0462003 | − | 0.321330i | −0.00172179 | − | 0.0119753i | ||||
\(721\) | 32.6081 | + | 9.57461i | 1.21439 | + | 0.356577i | ||||
\(722\) | −2.35436 | + | 1.51306i | −0.0876203 | + | 0.0563101i | ||||
\(723\) | 2.22439 | − | 15.4710i | 0.0827261 | − | 0.575373i | ||||
\(724\) | −7.55091 | + | 16.5342i | −0.280627 | + | 0.614488i | ||||
\(725\) | −4.08561 | + | 8.94624i | −0.151736 | + | 0.332255i | ||||
\(726\) | 0.0797828 | − | 0.554902i | 0.00296102 | − | 0.0205943i | ||||
\(727\) | 14.1753 | − | 9.10990i | 0.525732 | − | 0.337868i | −0.250704 | − | 0.968064i | \(-0.580662\pi\) |
0.776436 | + | 0.630196i | \(0.217026\pi\) | |||||||
\(728\) | 0.628590 | + | 0.184571i | 0.0232971 | + | 0.00684064i | ||||
\(729\) | −0.142315 | − | 0.989821i | −0.00527092 | − | 0.0366601i | ||||
\(730\) | 0.242216 | + | 0.279532i | 0.00896480 | + | 0.0103459i | ||||
\(731\) | 16.0514 | + | 10.3156i | 0.593682 | + | 0.381536i | ||||
\(732\) | 2.84905 | − | 3.28798i | 0.105304 | − | 0.121527i | ||||
\(733\) | −10.2565 | + | 3.01158i | −0.378832 | + | 0.111235i | −0.465604 | − | 0.884993i | \(-0.654163\pi\) |
0.0867723 | + | 0.996228i | \(0.472345\pi\) | |||||||
\(734\) | −1.75490 | − | 3.84270i | −0.0647746 | − | 0.141837i | ||||
\(735\) | 0.351841 | 0.0129778 | ||||||||
\(736\) | −4.78492 | + | 0.323343i | −0.176374 | + | 0.0119186i | ||||
\(737\) | 34.9290 | 1.28663 | ||||||||
\(738\) | −1.08216 | − | 2.36961i | −0.0398350 | − | 0.0872265i | ||||
\(739\) | −23.8837 | + | 7.01290i | −0.878577 | + | 0.257974i | −0.689759 | − | 0.724039i | \(-0.742284\pi\) |
−0.188818 | + | 0.982012i | \(0.560466\pi\) | |||||||
\(740\) | 0.428863 | − | 0.494935i | 0.0157653 | − | 0.0181942i | ||||
\(741\) | −0.912026 | − | 0.586123i | −0.0335041 | − | 0.0215318i | ||||
\(742\) | −1.72028 | − | 1.98530i | −0.0631533 | − | 0.0728828i | ||||
\(743\) | −5.43203 | − | 37.7806i | −0.199282 | − | 1.38604i | −0.806375 | − | 0.591405i | \(-0.798573\pi\) |
0.607093 | − | 0.794631i | \(-0.292336\pi\) | |||||||
\(744\) | −9.12052 | − | 2.67803i | −0.334375 | − | 0.0981812i | ||||
\(745\) | −0.445275 | + | 0.286161i | −0.0163136 | + | 0.0104841i | ||||
\(746\) | 0.963494 | − | 6.70125i | 0.0352760 | − | 0.245350i | ||||
\(747\) | −0.438384 | + | 0.959928i | −0.0160396 | + | 0.0351219i | ||||
\(748\) | 6.84776 | − | 14.9945i | 0.250379 | − | 0.548253i | ||||
\(749\) | 3.73566 | − | 25.9821i | 0.136498 | − | 0.949365i | ||||
\(750\) | 2.70222 | − | 1.73661i | 0.0986711 | − | 0.0634121i | ||||
\(751\) | −42.4661 | − | 12.4692i | −1.54961 | − | 0.455006i | −0.608625 | − | 0.793458i | \(-0.708279\pi\) |
−0.940984 | + | 0.338452i | \(0.890097\pi\) | |||||||
\(752\) | −0.739858 | − | 5.14583i | −0.0269798 | − | 0.187649i | ||||
\(753\) | −9.09203 | − | 10.4928i | −0.331332 | − | 0.382377i | ||||
\(754\) | 0.455289 | + | 0.292597i | 0.0165807 | + | 0.0106557i | ||||
\(755\) | 2.50141 | − | 2.88678i | 0.0910356 | − | 0.105061i | ||||
\(756\) | −2.33380 | + | 0.685265i | −0.0848794 | + | 0.0249228i | ||||
\(757\) | −4.06477 | − | 8.90060i | −0.147737 | − | 0.323498i | 0.821267 | − | 0.570544i | \(-0.193267\pi\) |
−0.969004 | + | 0.247046i | \(0.920540\pi\) | |||||||
\(758\) | 8.78615 | 0.319128 | ||||||||
\(759\) | −9.82316 | + | 13.0154i | −0.356558 | + | 0.472427i | ||||
\(760\) | 1.30668 | 0.0473984 | ||||||||
\(761\) | 9.94877 | + | 21.7848i | 0.360643 | + | 0.789697i | 0.999788 | + | 0.0206110i | \(0.00656116\pi\) |
−0.639145 | + | 0.769086i | \(0.720712\pi\) | |||||||
\(762\) | −5.22557 | + | 1.53437i | −0.189302 | + | 0.0555842i | ||||
\(763\) | 26.0555 | − | 30.0696i | 0.943272 | − | 1.08859i | ||||
\(764\) | 6.60611 | + | 4.24549i | 0.239001 | + | 0.153596i | ||||
\(765\) | −1.03067 | − | 1.18946i | −0.0372640 | − | 0.0430049i | ||||
\(766\) | 3.27388 | + | 22.7703i | 0.118290 | + | 0.822725i | ||||
\(767\) | −2.55989 | − | 0.751652i | −0.0924323 | − | 0.0271406i | ||||
\(768\) | −0.841254 | + | 0.540641i | −0.0303561 | + | 0.0195087i | ||||
\(769\) | 3.93966 | − | 27.4010i | 0.142068 | − | 0.988104i | −0.786672 | − | 0.617371i | \(-0.788198\pi\) |
0.928740 | − | 0.370732i | \(-0.120893\pi\) | |||||||
\(770\) | −1.11529 | + | 2.44215i | −0.0401924 | + | 0.0880090i | ||||
\(771\) | 4.09104 | − | 8.95813i | 0.147335 | − | 0.322619i | ||||
\(772\) | −3.35555 | + | 23.3384i | −0.120769 | + | 0.839967i | ||||
\(773\) | −28.4632 | + | 18.2922i | −1.02375 | + | 0.657924i | −0.940916 | − | 0.338639i | \(-0.890033\pi\) |
−0.0828340 | + | 0.996563i | \(0.526397\pi\) | |||||||
\(774\) | −3.77617 | − | 1.10878i | −0.135732 | − | 0.0398544i | ||||
\(775\) | −6.62135 | − | 46.0525i | −0.237846 | − | 1.65425i | ||||
\(776\) | 8.91128 | + | 10.2842i | 0.319896 | + | 0.369180i | ||||
\(777\) | −4.12784 | − | 2.65280i | −0.148085 | − | 0.0951688i | ||||
\(778\) | 4.27408 | − | 4.93255i | 0.153233 | − | 0.176840i | ||||
\(779\) | 10.0607 | − | 2.95409i | 0.360462 | − | 0.105841i | ||||
\(780\) | −0.0363230 | − | 0.0795362i | −0.00130057 | − | 0.00284785i | ||||
\(781\) | 38.8643 | 1.39067 | ||||||||
\(782\) | −18.6679 | + | 13.8605i | −0.667562 | + | 0.495652i | ||||
\(783\) | −2.00935 | −0.0718084 | ||||||||
\(784\) | −0.450229 | − | 0.985863i | −0.0160796 | − | 0.0352094i | ||||
\(785\) | −3.11688 | + | 0.915198i | −0.111246 | + | 0.0326648i | ||||
\(786\) | 10.0240 | − | 11.5683i | 0.357545 | − | 0.412629i | ||||
\(787\) | 20.5969 | + | 13.2368i | 0.734200 | + | 0.471842i | 0.853550 | − | 0.521011i | \(-0.174445\pi\) |
−0.119350 | + | 0.992852i | \(0.538081\pi\) | |||||||
\(788\) | −6.06433 | − | 6.99861i | −0.216033 | − | 0.249315i | ||||
\(789\) | 0.0325974 | + | 0.226720i | 0.00116050 | + | 0.00807144i | ||||
\(790\) | −5.00078 | − | 1.46836i | −0.177920 | − | 0.0522420i | ||||
\(791\) | −40.8417 | + | 26.2474i | −1.45217 | + | 0.933250i | ||||
\(792\) | −0.483883 | + | 3.36548i | −0.0171940 | + | 0.119587i | ||||
\(793\) | 0.486786 | − | 1.06591i | 0.0172863 | − | 0.0378517i | ||||
\(794\) | 14.4419 | − | 31.6234i | 0.512525 | − | 1.12227i | ||||
\(795\) | −0.0498969 | + | 0.347040i | −0.00176966 | + | 0.0123082i | ||||
\(796\) | −21.6354 | + | 13.9042i | −0.766846 | + | 0.492822i | ||||
\(797\) | 8.34389 | + | 2.44999i | 0.295556 | + | 0.0867830i | 0.426149 | − | 0.904653i | \(-0.359870\pi\) |
−0.130593 | + | 0.991436i | \(0.541688\pi\) | |||||||
\(798\) | −1.39331 | − | 9.69067i | −0.0493226 | − | 0.343046i | ||||
\(799\) | −16.5053 | − | 19.0481i | −0.583915 | − | 0.673874i | ||||
\(800\) | −4.11761 | − | 2.64623i | −0.145579 | − | 0.0935583i | ||||
\(801\) | 1.79487 | − | 2.07139i | 0.0634187 | − | 0.0731891i | ||||
\(802\) | 4.06195 | − | 1.19270i | 0.143432 | − | 0.0421156i | ||||
\(803\) | −1.60928 | − | 3.52382i | −0.0567901 | − | 0.124353i | ||||
\(804\) | −10.2730 | −0.362299 | ||||||||
\(805\) | 3.04043 | − | 2.25746i | 0.107161 | − | 0.0795651i | ||||
\(806\) | −2.56025 | −0.0901809 | ||||||||
\(807\) | 0.179774 | + | 0.393650i | 0.00632835 | + | 0.0138571i | ||||
\(808\) | −15.2587 | + | 4.48036i | −0.536799 | + | 0.157619i | ||||
\(809\) | −12.1500 | + | 14.0218i | −0.427171 | + | 0.492982i | −0.928008 | − | 0.372560i | \(-0.878480\pi\) |
0.500837 | + | 0.865542i | \(0.333026\pi\) | |||||||
\(810\) | 0.273100 | + | 0.175511i | 0.00959576 | + | 0.00616682i | ||||
\(811\) | 14.1247 | + | 16.3008i | 0.495985 | + | 0.572397i | 0.947455 | − | 0.319889i | \(-0.103646\pi\) |
−0.451470 | + | 0.892286i | \(0.649100\pi\) | |||||||
\(812\) | 0.695549 | + | 4.83765i | 0.0244090 | + | 0.169768i | ||||
\(813\) | −6.98755 | − | 2.05173i | −0.245064 | − | 0.0719573i | ||||
\(814\) | −5.77022 | + | 3.70829i | −0.202246 | + | 0.129976i | ||||
\(815\) | 0.736399 | − | 5.12177i | 0.0257949 | − | 0.179408i | ||||
\(816\) | −2.01399 | + | 4.41003i | −0.0705039 | + | 0.154382i | ||||
\(817\) | 6.58063 | − | 14.4096i | 0.230227 | − | 0.504127i | ||||
\(818\) | −3.38542 | + | 23.5461i | −0.118368 | + | 0.823270i | ||||
\(819\) | −0.551128 | + | 0.354188i | −0.0192580 | + | 0.0123763i | ||||
\(820\) | 0.811424 | + | 0.238256i | 0.0283362 | + | 0.00832025i | ||||
\(821\) | −0.985285 | − | 6.85281i | −0.0343867 | − | 0.239165i | 0.965378 | − | 0.260855i | \(-0.0840044\pi\) |
−0.999765 | + | 0.0216901i | \(0.993095\pi\) | |||||||
\(822\) | −11.1819 | − | 12.9046i | −0.390014 | − | 0.450100i | ||||
\(823\) | −26.3460 | − | 16.9316i | −0.918364 | − | 0.590197i | −0.00618166 | − | 0.999981i | \(-0.501968\pi\) |
−0.912183 | + | 0.409784i | \(0.865604\pi\) | |||||||
\(824\) | −9.14981 | + | 10.5594i | −0.318749 | + | 0.367855i | ||||
\(825\) | −15.9680 | + | 4.68863i | −0.555934 | + | 0.163237i | ||||
\(826\) | −10.0087 | − | 21.9161i | −0.348248 | − | 0.762557i | ||||
\(827\) | −4.77095 | −0.165902 | −0.0829511 | − | 0.996554i | \(-0.526435\pi\) | ||||
−0.0829511 | + | 0.996554i | \(0.526435\pi\) | |||||||
\(828\) | 2.88909 | − | 3.82794i | 0.100403 | − | 0.133030i | ||||
\(829\) | −1.94168 | −0.0674372 | −0.0337186 | − | 0.999431i | \(-0.510735\pi\) | ||||
−0.0337186 | + | 0.999431i | \(0.510735\pi\) | |||||||
\(830\) | −0.142315 | − | 0.311626i | −0.00493982 | − | 0.0108167i | ||||
\(831\) | −23.9579 | + | 7.03466i | −0.831089 | + | 0.244030i | ||||
\(832\) | −0.176382 | + | 0.203555i | −0.00611493 | + | 0.00705701i | ||||
\(833\) | −4.42032 | − | 2.84077i | −0.153155 | − | 0.0984268i | ||||
\(834\) | 10.6598 | + | 12.3020i | 0.369118 | + | 0.425984i | ||||
\(835\) | 0.440612 | + | 3.06452i | 0.0152480 | + | 0.106052i | ||||
\(836\) | −13.1313 | − | 3.85570i | −0.454156 | − | 0.133352i | ||||
\(837\) | 7.99659 | − | 5.13910i | 0.276403 | − | 0.177633i | ||||
\(838\) | −3.17364 | + | 22.0732i | −0.109632 | + | 0.762505i | ||||
\(839\) | −19.0354 | + | 41.6816i | −0.657174 | + | 1.43901i | 0.227959 | + | 0.973671i | \(0.426795\pi\) |
−0.885133 | + | 0.465339i | \(0.845932\pi\) | |||||||
\(840\) | 0.328019 | − | 0.718261i | 0.0113177 | − | 0.0247823i | ||||
\(841\) | 3.55253 | − | 24.7084i | 0.122501 | − | 0.852014i | ||||
\(842\) | −20.1088 | + | 12.9232i | −0.692996 | + | 0.445362i | ||||
\(843\) | −7.02438 | − | 2.06254i | −0.241932 | − | 0.0710378i | ||||
\(844\) | −2.80050 | − | 19.4779i | −0.0963970 | − | 0.670456i | ||||
\(845\) | 2.74826 | + | 3.17166i | 0.0945429 | + | 0.109108i | ||||
\(846\) | 4.37346 | + | 2.81065i | 0.150363 | + | 0.0966322i | ||||
\(847\) | 0.892954 | − | 1.03052i | 0.0306823 | − | 0.0354092i | ||||
\(848\) | 1.03626 | − | 0.304274i | 0.0355854 | − | 0.0104488i | ||||
\(849\) | −4.35960 | − | 9.54618i | −0.149621 | − | 0.327624i | ||||
\(850\) | −23.7298 | −0.813926 | ||||||||
\(851\) | 9.65271 | − | 0.652286i | 0.330891 | − | 0.0223601i | ||||
\(852\) | −11.4304 | −0.391598 | ||||||||
\(853\) | −7.94308 | − | 17.3929i | −0.271966 | − | 0.595522i | 0.723534 | − | 0.690289i | \(-0.242517\pi\) |
−0.995499 | + | 0.0947670i | \(0.969789\pi\) | |||||||
\(854\) | 10.1535 | − | 2.98133i | 0.347445 | − | 0.102019i | ||||
\(855\) | −0.855697 | + | 0.987527i | −0.0292642 | + | 0.0337727i | ||||
\(856\) | 9.07869 | + | 5.83452i | 0.310303 | + | 0.199420i | ||||
\(857\) | −6.21308 | − | 7.17028i | −0.212235 | − | 0.244932i | 0.639644 | − | 0.768672i | \(-0.279082\pi\) |
−0.851878 | + | 0.523740i | \(0.824536\pi\) | |||||||
\(858\) | 0.130330 | + | 0.906466i | 0.00444940 | + | 0.0309462i | ||||
\(859\) | −37.6163 | − | 11.0451i | −1.28345 | − | 0.376855i | −0.432278 | − | 0.901740i | \(-0.642290\pi\) |
−0.851173 | + | 0.524885i | \(0.824108\pi\) | |||||||
\(860\) | 1.07481 | − | 0.690738i | 0.0366507 | − | 0.0235540i | ||||
\(861\) | 0.901742 | − | 6.27176i | 0.0307313 | − | 0.213741i | ||||
\(862\) | 4.18508 | − | 9.16404i | 0.142544 | − | 0.312129i | ||||
\(863\) | 5.38760 | − | 11.7972i | 0.183396 | − | 0.401582i | −0.795496 | − | 0.605959i | \(-0.792790\pi\) |
0.978892 | + | 0.204377i | \(0.0655169\pi\) | |||||||
\(864\) | 0.142315 | − | 0.989821i | 0.00484165 | − | 0.0336744i | ||||
\(865\) | −6.75390 | + | 4.34047i | −0.229640 | + | 0.147580i | ||||
\(866\) | 31.5908 | + | 9.27590i | 1.07350 | + | 0.315208i | ||||
\(867\) | 0.925696 | + | 6.43835i | 0.0314383 | + | 0.218658i | ||||
\(868\) | −15.1408 | − | 17.4734i | −0.513911 | − | 0.593085i | ||||
\(869\) | 45.9218 | + | 29.5121i | 1.55779 | + | 1.00113i | ||||
\(870\) | 0.427170 | − | 0.492980i | 0.0144824 | − | 0.0167136i | ||||
\(871\) | −2.65486 | + | 0.779537i | −0.0899565 | + | 0.0264136i | ||||
\(872\) | 6.79534 | + | 14.8797i | 0.230119 | + | 0.503891i | ||||
\(873\) | −13.6079 | −0.460558 | ||||||||
\(874\) | 13.5960 | + | 13.7032i | 0.459893 | + | 0.463519i | ||||
\(875\) | 7.81295 | 0.264126 | ||||||||
\(876\) | 0.473304 | + | 1.03639i | 0.0159915 | + | 0.0350164i | ||||
\(877\) | −27.4232 | + | 8.05217i | −0.926015 | + | 0.271902i | −0.709767 | − | 0.704436i | \(-0.751200\pi\) |
−0.216247 | + | 0.976339i | \(0.569382\pi\) | |||||||
\(878\) | 11.5784 | − | 13.3622i | 0.390751 | − | 0.450951i | ||||
\(879\) | 13.6177 | + | 8.75156i | 0.459314 | + | 0.295183i | ||||
\(880\) | −0.722827 | − | 0.834187i | −0.0243665 | − | 0.0281204i | ||||
\(881\) | −4.77547 | − | 33.2141i | −0.160890 | − | 1.11901i | −0.896962 | − | 0.442108i | \(-0.854231\pi\) |
0.736072 | − | 0.676903i | \(-0.236678\pi\) | |||||||
\(882\) | 1.03990 | + | 0.305343i | 0.0350154 | + | 0.0102814i | ||||
\(883\) | 18.1867 | − | 11.6879i | 0.612032 | − | 0.393329i | −0.197586 | − | 0.980285i | \(-0.563310\pi\) |
0.809619 | + | 0.586956i | \(0.199674\pi\) | |||||||
\(884\) | −0.185836 | + | 1.29252i | −0.00625035 | + | 0.0434721i | ||||
\(885\) | −1.33583 | + | 2.92507i | −0.0449036 | + | 0.0983251i | ||||
\(886\) | −13.5465 | + | 29.6628i | −0.455105 | + | 0.996540i | ||||
\(887\) | 5.56676 | − | 38.7176i | 0.186913 | − | 1.30001i | −0.653028 | − | 0.757334i | \(-0.726502\pi\) |
0.839941 | − | 0.542677i | \(-0.182589\pi\) | |||||||
\(888\) | 1.69708 | − | 1.09065i | 0.0569502 | − | 0.0365997i | ||||
\(889\) | −12.7103 | − | 3.73207i | −0.426289 | − | 0.125170i | ||||
\(890\) | 0.126628 | + | 0.880717i | 0.00424458 | + | 0.0295217i | ||||
\(891\) | −2.22659 | − | 2.56962i | −0.0745934 | − | 0.0860854i | ||||
\(892\) | −4.02993 | − | 2.58988i | −0.134932 | − | 0.0867156i | ||||
\(893\) | −13.7032 | + | 15.8144i | −0.458561 | + | 0.529208i | ||||
\(894\) | −1.56440 | + | 0.459350i | −0.0523214 | + | 0.0153630i | ||||
\(895\) | −3.55329 | − | 7.78062i | −0.118773 | − | 0.260077i | ||||
\(896\) | −2.43232 | −0.0812582 | ||||||||
\(897\) | 0.456159 | − | 1.20849i | 0.0152307 | − | 0.0403504i | ||||
\(898\) | 35.3685 | 1.18026 | ||||||||
\(899\) | −7.93445 | − | 17.3740i | −0.264629 | − | 0.579456i | ||||
\(900\) | 4.69635 | − | 1.37897i | 0.156545 | − | 0.0459657i | ||||
\(901\) | 3.42888 | − | 3.95714i | 0.114233 | − | 0.131832i | ||||
\(902\) | −7.45123 | − | 4.78862i | −0.248099 | − | 0.159444i | ||||
\(903\) | −6.26873 | − | 7.23450i | −0.208610 | − | 0.240749i | ||||
\(904\) | −2.84057 | − | 19.7566i | −0.0944761 | − | 0.657096i | ||||
\(905\) | 5.66179 | + | 1.66245i | 0.188204 | + | 0.0552618i | ||||
\(906\) | 9.89846 | − | 6.36136i | 0.328854 | − | 0.211342i | ||||
\(907\) | 2.65012 | − | 18.4320i | 0.0879956 | − | 0.612023i | −0.897333 | − | 0.441354i | \(-0.854498\pi\) |
0.985328 | − | 0.170669i | \(-0.0545928\pi\) | |||||||
\(908\) | 2.50668 | − | 5.48886i | 0.0831871 | − | 0.182154i | ||||
\(909\) | 6.60630 | − | 14.4658i | 0.219117 | − | 0.479799i | ||||
\(910\) | 0.0302671 | − | 0.210512i | 0.00100334 | − | 0.00697842i | ||||
\(911\) | 13.6421 | − | 8.76725i | 0.451983 | − | 0.290472i | −0.294776 | − | 0.955566i | \(-0.595245\pi\) |
0.746759 | + | 0.665094i | \(0.231609\pi\) | |||||||
\(912\) | 3.86205 | + | 1.13400i | 0.127885 | + | 0.0375505i | ||||
\(913\) | 0.510638 | + | 3.55157i | 0.0168997 | + | 0.117540i | ||||
\(914\) | 5.74934 | + | 6.63509i | 0.190171 | + | 0.219469i | ||||
\(915\) | −1.18816 | − | 0.763582i | −0.0392792 | − | 0.0252432i | ||||
\(916\) | −4.76359 | + | 5.49747i | −0.157393 | + | 0.181642i | ||||
\(917\) | 35.7237 | − | 10.4894i | 1.17970 | − | 0.346391i | ||||
\(918\) | −2.01399 | − | 4.41003i | −0.0664717 | − | 0.145553i | ||||
\(919\) | 7.51602 | 0.247930 | 0.123965 | − | 0.992287i | \(-0.460439\pi\) | ||||
0.123965 | + | 0.992287i | \(0.460439\pi\) | |||||||
\(920\) | 0.324965 | + | 1.52260i | 0.0107138 | + | 0.0501987i | ||||
\(921\) | −17.8501 | −0.588182 | ||||||||
\(922\) | 5.30491 | + | 11.6161i | 0.174708 | + | 0.382557i | ||||
\(923\) | −2.95397 | + | 0.867365i | −0.0972313 | + | 0.0285497i | ||||
\(924\) | −5.41577 | + | 6.25014i | −0.178166 | + | 0.205614i | ||||
\(925\) | 8.30654 | + | 5.33829i | 0.273117 | + | 0.175522i | ||||
\(926\) | −10.3509 | − | 11.9456i | −0.340152 | − | 0.392556i | ||||
\(927\) | −1.98844 | − | 13.8299i | −0.0653090 | − | 0.454234i | ||||
\(928\) | −1.92796 | − | 0.566100i | −0.0632884 | − | 0.0185832i | ||||
\(929\) | 14.1785 | − | 9.11197i | 0.465181 | − | 0.298954i | −0.286976 | − | 0.957938i | \(-0.592650\pi\) |
0.752157 | + | 0.658984i | \(0.229013\pi\) | |||||||
\(930\) | −0.439160 | + | 3.05443i | −0.0144006 | + | 0.100159i | ||||
\(931\) | −1.81221 | + | 3.96819i | −0.0593928 | + | 0.130052i | ||||
\(932\) | 3.49719 | − | 7.65778i | 0.114554 | − | 0.250839i | ||||
\(933\) | −2.09711 | + | 14.5857i | −0.0686563 | + | 0.477515i | ||||
\(934\) | 2.92220 | − | 1.87798i | 0.0956172 | − | 0.0614494i | ||||
\(935\) | −5.13456 | − | 1.50764i | −0.167918 | − | 0.0493052i | ||||
\(936\) | −0.0383314 | − | 0.266601i | −0.00125290 | − | 0.00871411i | ||||
\(937\) | 0.574711 | + | 0.663252i | 0.0187750 | + | 0.0216675i | 0.765059 | − | 0.643960i | \(-0.222710\pi\) |
−0.746284 | + | 0.665627i | \(0.768164\pi\) | |||||||
\(938\) | −21.0205 | − | 13.5091i | −0.686345 | − | 0.441087i | ||||
\(939\) | −3.74372 | + | 4.32049i | −0.122172 | + | 0.140994i | ||||
\(940\) | −1.61933 | + | 0.475478i | −0.0528167 | + | 0.0155084i | ||||
\(941\) | 5.80899 | + | 12.7199i | 0.189368 | + | 0.414657i | 0.980373 | − | 0.197152i | \(-0.0631693\pi\) |
−0.791005 | + | 0.611809i | \(0.790442\pi\) | |||||||
\(942\) | −10.0065 | −0.326030 | ||||||||
\(943\) | 5.94426 | + | 10.9885i | 0.193572 | + | 0.357834i | ||||
\(944\) | 9.90548 | 0.322396 | ||||||||
\(945\) | 0.328019 | + | 0.718261i | 0.0106704 | + | 0.0233650i | ||||
\(946\) | −12.8393 | + | 3.76996i | −0.417442 | + | 0.122572i | ||||
\(947\) | 16.1395 | − | 18.6259i | 0.524462 | − | 0.605262i | −0.430280 | − | 0.902695i | \(-0.641585\pi\) |
0.954743 | + | 0.297434i | \(0.0961307\pi\) | |||||||
\(948\) | −13.5060 | − | 8.67981i | −0.438656 | − | 0.281907i | ||||
\(949\) | 0.200961 | + | 0.231921i | 0.00652346 | + | 0.00752848i | ||||
\(950\) | 2.80378 | + | 19.5007i | 0.0909667 | + | 0.632687i | ||||
\(951\) | −6.71883 | − | 1.97283i | −0.217873 | − | 0.0639733i | ||||
\(952\) | −9.92029 | + | 6.37538i | −0.321518 | + | 0.206627i | ||||
\(953\) | −7.98427 | + | 55.5318i | −0.258636 | + | 1.79885i | 0.283937 | + | 0.958843i | \(0.408359\pi\) |
−0.542573 | + | 0.840009i | \(0.682550\pi\) | |||||||
\(954\) | −0.448652 | + | 0.982412i | −0.0145257 | + | 0.0318068i | ||||
\(955\) | 1.05900 | − | 2.31889i | 0.0342684 | − | 0.0750374i | ||||
\(956\) | 0.734362 | − | 5.10760i | 0.0237510 | − | 0.165192i | ||||
\(957\) | −5.74743 | + | 3.69365i | −0.185788 | + | 0.119399i | ||||
\(958\) | −0.849869 | − | 0.249544i | −0.0274580 | − | 0.00806241i | ||||
\(959\) | −5.91070 | − | 41.1098i | −0.190866 | − | 1.32750i | ||||
\(960\) | 0.212591 | + | 0.245343i | 0.00686133 | + | 0.00791840i | ||||
\(961\) | 49.9333 | + | 32.0902i | 1.61075 | + | 1.03517i | ||||
\(962\) | 0.355818 | − | 0.410636i | 0.0114720 | − | 0.0132394i | ||||
\(963\) | −10.3547 | + | 3.04042i | −0.333676 | + | 0.0979761i | ||||
\(964\) | 6.49297 | + | 14.2176i | 0.209125 | + | 0.457919i | ||||
\(965\) | 7.65436 | 0.246403 | ||||||||
\(966\) | 10.9455 | − | 4.03355i | 0.352164 | − | 0.129777i | ||||
\(967\) | −38.0371 | −1.22319 | −0.611596 | − | 0.791170i | \(-0.709472\pi\) | ||||
−0.611596 | + | 0.791170i | \(0.709472\pi\) | |||||||
\(968\) | 0.232885 | + | 0.509947i | 0.00748520 | + | 0.0163903i | ||||
\(969\) | 18.7238 | − | 5.49780i | 0.601495 | − | 0.176615i | ||||
\(970\) | 2.89291 | − | 3.33860i | 0.0928858 | − | 0.107196i | ||||
\(971\) | 39.4248 | + | 25.3368i | 1.26520 | + | 0.813095i | 0.988987 | − | 0.148001i | \(-0.0472838\pi\) |
0.276214 | + | 0.961096i | \(0.410920\pi\) | |||||||
\(972\) | 0.654861 | + | 0.755750i | 0.0210047 | + | 0.0242407i | ||||
\(973\) | 5.63469 | + | 39.1902i | 0.180640 | + | 1.25638i | ||||
\(974\) | 3.15531 | + | 0.926483i | 0.101103 | + | 0.0296864i | ||||
\(975\) | 1.10905 | − | 0.712740i | 0.0355179 | − | 0.0228260i | ||||
\(976\) | −0.619158 | + | 4.30634i | −0.0198188 | + | 0.137843i | ||||
\(977\) | −2.62761 | + | 5.75367i | −0.0840648 | + | 0.184076i | −0.946996 | − | 0.321245i | \(-0.895899\pi\) |
0.862931 | + | 0.505321i | \(0.168626\pi\) | |||||||
\(978\) | 6.62141 | − | 14.4989i | 0.211729 | − | 0.463622i | ||||
\(979\) | 1.32625 | − | 9.22427i | 0.0423871 | − | 0.294809i | ||||
\(980\) | −0.295987 | + | 0.190219i | −0.00945497 | + | 0.00607634i | ||||
\(981\) | −15.6953 | − | 4.60857i | −0.501114 | − | 0.147140i | ||||
\(982\) | −3.43041 | − | 23.8590i | −0.109469 | − | 0.761372i | ||||
\(983\) | 19.5536 | + | 22.5661i | 0.623664 | + | 0.719746i | 0.976398 | − | 0.215977i | \(-0.0692936\pi\) |
−0.352735 | + | 0.935723i | \(0.614748\pi\) | |||||||
\(984\) | 2.19148 | + | 1.40838i | 0.0698619 | + | 0.0448975i | ||||
\(985\) | −1.96869 | + | 2.27199i | −0.0627278 | + | 0.0723917i | ||||
\(986\) | −9.34704 | + | 2.74454i | −0.297671 | + | 0.0874040i | ||||
\(987\) | 5.25293 | + | 11.5023i | 0.167203 | + | 0.366123i | ||||
\(988\) | 1.08413 | 0.0344907 | ||||||||
\(989\) | 18.4272 | + | 4.08444i | 0.585950 | + | 0.129878i | ||||
\(990\) | 1.10379 | 0.0350807 | ||||||||
\(991\) | 3.71821 | + | 8.14175i | 0.118113 | + | 0.258631i | 0.959450 | − | 0.281880i | \(-0.0909581\pi\) |
−0.841337 | + | 0.540511i | \(0.818231\pi\) | |||||||
\(992\) | 9.12052 | − | 2.67803i | 0.289577 | − | 0.0850275i | ||||
\(993\) | 12.7721 | − | 14.7397i | 0.405309 | − | 0.467752i | ||||
\(994\) | −23.3888 | − | 15.0311i | −0.741849 | − | 0.476757i | ||||
\(995\) | 5.46742 | + | 6.30973i | 0.173329 | + | 0.200032i | ||||
\(996\) | −0.150184 | − | 1.04455i | −0.00475876 | − | 0.0330979i | ||||
\(997\) | −16.0735 | − | 4.71962i | −0.509054 | − | 0.149472i | 0.0171121 | − | 0.999854i | \(-0.494553\pi\) |
−0.526166 | + | 0.850382i | \(0.676371\pi\) | |||||||
\(998\) | 11.4327 | − | 7.34734i | 0.361895 | − | 0.232576i | ||||
\(999\) | −0.287095 | + | 1.99679i | −0.00908327 | + | 0.0631755i |
(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 | 138.2.e.b.73.1 | ✓ | 10 | |
3.2 | odd | 2 | 414.2.i.e.73.1 | 10 | |||
23.6 | even | 11 | inner | 138.2.e.b.121.1 | yes | 10 | |
23.11 | odd | 22 | 3174.2.a.bb.1.2 | 5 | |||
23.12 | even | 11 | 3174.2.a.ba.1.4 | 5 | |||
69.11 | even | 22 | 9522.2.a.br.1.4 | 5 | |||
69.29 | odd | 22 | 414.2.i.e.397.1 | 10 | |||
69.35 | odd | 22 | 9522.2.a.bs.1.2 | 5 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
138.2.e.b.73.1 | ✓ | 10 | 1.1 | even | 1 | trivial | |
138.2.e.b.121.1 | yes | 10 | 23.6 | even | 11 | inner | |
414.2.i.e.73.1 | 10 | 3.2 | odd | 2 | |||
414.2.i.e.397.1 | 10 | 69.29 | odd | 22 | |||
3174.2.a.ba.1.4 | 5 | 23.12 | even | 11 | |||
3174.2.a.bb.1.2 | 5 | 23.11 | odd | 22 | |||
9522.2.a.br.1.4 | 5 | 69.11 | even | 22 | |||
9522.2.a.bs.1.2 | 5 | 69.35 | odd | 22 |