Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [430,2,Mod(11,430)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(430, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("430.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 430 = 2 \cdot 5 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 430.k (of order \(7\), 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: | \(3.43356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{7})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - 5 x^{17} + 17 x^{16} - 43 x^{15} + 90 x^{14} - 114 x^{13} + 135 x^{12} + 2 x^{11} + 313 x^{10} + \cdots + 169 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 21.3 | ||
Root | \(1.28772 - 1.61475i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 430.21 |
Dual form | 430.2.k.b.41.3 |
$q$-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 \(\left(\mathbb{Z}/430\mathbb{Z}\right)^\times\).
\(n\) | \(87\) | \(261\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{6}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.900969 | − | 0.433884i | −0.637081 | − | 0.306802i | ||||
\(3\) | 1.86081 | − | 0.896118i | 1.07434 | − | 0.517374i | 0.188836 | − | 0.982009i | \(-0.439529\pi\) |
0.885502 | + | 0.464635i | \(0.153814\pi\) | |||||||
\(4\) | 0.623490 | + | 0.781831i | 0.311745 | + | 0.390916i | ||||
\(5\) | 0.222521 | + | 0.974928i | 0.0995144 | + | 0.436001i | ||||
\(6\) | −2.06534 | −0.843172 | ||||||||
\(7\) | 1.71068 | 0.646575 | 0.323287 | − | 0.946301i | \(-0.395212\pi\) | ||||
0.323287 | + | 0.946301i | \(0.395212\pi\) | |||||||
\(8\) | −0.222521 | − | 0.974928i | −0.0786730 | − | 0.344689i | ||||
\(9\) | 0.789110 | − | 0.989513i | 0.263037 | − | 0.329838i | ||||
\(10\) | 0.222521 | − | 0.974928i | 0.0703673 | − | 0.308299i | ||||
\(11\) | 1.15005 | − | 1.44211i | 0.346752 | − | 0.434814i | −0.577620 | − | 0.816306i | \(-0.696018\pi\) |
0.924372 | + | 0.381492i | \(0.124590\pi\) | |||||||
\(12\) | 1.86081 | + | 0.896118i | 0.537169 | + | 0.258687i | ||||
\(13\) | −0.0681153 | − | 0.298433i | −0.0188918 | − | 0.0827703i | 0.964603 | − | 0.263706i | \(-0.0849447\pi\) |
−0.983495 | + | 0.180935i | \(0.942088\pi\) | |||||||
\(14\) | −1.54127 | − | 0.742235i | −0.411921 | − | 0.198371i | ||||
\(15\) | 1.28772 | + | 1.61475i | 0.332488 | + | 0.416926i | ||||
\(16\) | −0.222521 | + | 0.974928i | −0.0556302 | + | 0.243732i | ||||
\(17\) | 0.777642 | − | 3.40707i | 0.188606 | − | 0.826336i | −0.788747 | − | 0.614718i | \(-0.789270\pi\) |
0.977353 | − | 0.211618i | \(-0.0678731\pi\) | |||||||
\(18\) | −1.14030 | + | 0.549138i | −0.268771 | + | 0.129433i | ||||
\(19\) | 4.50842 | + | 5.65338i | 1.03430 | + | 1.29697i | 0.953872 | + | 0.300213i | \(0.0970579\pi\) |
0.0804299 | + | 0.996760i | \(0.474371\pi\) | |||||||
\(20\) | −0.623490 | + | 0.781831i | −0.139417 | + | 0.174823i | ||||
\(21\) | 3.18324 | − | 1.53297i | 0.694640 | − | 0.334521i | ||||
\(22\) | −1.66187 | + | 0.800313i | −0.354311 | + | 0.170627i | ||||
\(23\) | 2.14506 | − | 2.68982i | 0.447277 | − | 0.560867i | −0.506168 | − | 0.862435i | \(-0.668939\pi\) |
0.953445 | + | 0.301568i | \(0.0975099\pi\) | |||||||
\(24\) | −1.28772 | − | 1.61475i | −0.262855 | − | 0.329609i | ||||
\(25\) | −0.900969 | + | 0.433884i | −0.180194 | + | 0.0867767i | ||||
\(26\) | −0.0681153 | + | 0.298433i | −0.0133585 | + | 0.0585274i | ||||
\(27\) | −0.797083 | + | 3.49225i | −0.153399 | + | 0.672083i | ||||
\(28\) | 1.06659 | + | 1.33746i | 0.201566 | + | 0.252756i | ||||
\(29\) | 1.94318 | + | 0.935786i | 0.360840 | + | 0.173771i | 0.605515 | − | 0.795834i | \(-0.292967\pi\) |
−0.244675 | + | 0.969605i | \(0.578681\pi\) | |||||||
\(30\) | −0.459582 | − | 2.01356i | −0.0839077 | − | 0.367624i | ||||
\(31\) | −7.13102 | − | 3.43412i | −1.28077 | − | 0.616786i | −0.335182 | − | 0.942153i | \(-0.608798\pi\) |
−0.945588 | + | 0.325367i | \(0.894512\pi\) | |||||||
\(32\) | 0.623490 | − | 0.781831i | 0.110218 | − | 0.138210i | ||||
\(33\) | 0.847713 | − | 3.71407i | 0.147568 | − | 0.646537i | ||||
\(34\) | −2.17890 | + | 2.73226i | −0.373679 | + | 0.468578i | ||||
\(35\) | 0.380661 | + | 1.66779i | 0.0643435 | + | 0.281907i | ||||
\(36\) | 1.26563 | 0.210939 | ||||||||
\(37\) | 9.07890 | 1.49256 | 0.746281 | − | 0.665631i | \(-0.231838\pi\) | ||||
0.746281 | + | 0.665631i | \(0.231838\pi\) | |||||||
\(38\) | −1.60904 | − | 7.04965i | −0.261020 | − | 1.14360i | ||||
\(39\) | −0.394180 | − | 0.494286i | −0.0631193 | − | 0.0791492i | ||||
\(40\) | 0.900969 | − | 0.433884i | 0.142456 | − | 0.0686030i | ||||
\(41\) | −8.44541 | − | 4.06709i | −1.31895 | − | 0.635173i | −0.363851 | − | 0.931457i | \(-0.618538\pi\) |
−0.955100 | + | 0.296284i | \(0.904253\pi\) | |||||||
\(42\) | −3.53313 | −0.545174 | ||||||||
\(43\) | −6.52593 | + | 0.642076i | −0.995195 | + | 0.0979157i | ||||
\(44\) | 1.84453 | 0.278074 | ||||||||
\(45\) | 1.14030 | + | 0.549138i | 0.169985 | + | 0.0818607i | ||||
\(46\) | −3.09971 | + | 1.49274i | −0.457027 | + | 0.220092i | ||||
\(47\) | 2.29440 | + | 2.87709i | 0.334673 | + | 0.419667i | 0.920484 | − | 0.390781i | \(-0.127795\pi\) |
−0.585810 | + | 0.810448i | \(0.699224\pi\) | |||||||
\(48\) | 0.459582 | + | 2.01356i | 0.0663349 | + | 0.290632i | ||||
\(49\) | −4.07359 | −0.581941 | ||||||||
\(50\) | 1.00000 | 0.141421 | ||||||||
\(51\) | −1.60610 | − | 7.03676i | −0.224898 | − | 0.985344i | ||||
\(52\) | 0.190855 | − | 0.239324i | 0.0264668 | − | 0.0331883i | ||||
\(53\) | 1.31116 | − | 5.74455i | 0.180101 | − | 0.789074i | −0.801479 | − | 0.598023i | \(-0.795953\pi\) |
0.981580 | − | 0.191051i | \(-0.0611897\pi\) | |||||||
\(54\) | 2.23338 | − | 2.80056i | 0.303924 | − | 0.381109i | ||||
\(55\) | 1.66187 | + | 0.800313i | 0.224086 | + | 0.107914i | ||||
\(56\) | −0.380661 | − | 1.66779i | −0.0508680 | − | 0.222867i | ||||
\(57\) | 13.4554 | + | 6.47978i | 1.78221 | + | 0.858267i | ||||
\(58\) | −1.34472 | − | 1.68623i | −0.176571 | − | 0.221413i | ||||
\(59\) | 0.744246 | − | 3.26075i | 0.0968925 | − | 0.424514i | −0.903095 | − | 0.429440i | \(-0.858711\pi\) |
0.999988 | + | 0.00492621i | \(0.00156807\pi\) | |||||||
\(60\) | −0.459582 | + | 2.01356i | −0.0593317 | + | 0.259949i | ||||
\(61\) | −0.422480 | + | 0.203456i | −0.0540930 | + | 0.0260498i | −0.460735 | − | 0.887538i | \(-0.652414\pi\) |
0.406642 | + | 0.913588i | \(0.366700\pi\) | |||||||
\(62\) | 4.93482 | + | 6.18807i | 0.626723 | + | 0.785886i | ||||
\(63\) | 1.34991 | − | 1.69274i | 0.170073 | − | 0.213265i | ||||
\(64\) | −0.900969 | + | 0.433884i | −0.112621 | + | 0.0542355i | ||||
\(65\) | 0.275793 | − | 0.132815i | 0.0342079 | − | 0.0164737i | ||||
\(66\) | −2.37524 | + | 2.97846i | −0.292372 | + | 0.366623i | ||||
\(67\) | 2.52198 | + | 3.16247i | 0.308109 | + | 0.386357i | 0.911645 | − | 0.410979i | \(-0.134813\pi\) |
−0.603535 | + | 0.797336i | \(0.706242\pi\) | |||||||
\(68\) | 3.14861 | − | 1.51629i | 0.381825 | − | 0.183877i | ||||
\(69\) | 1.58115 | − | 6.92748i | 0.190348 | − | 0.833970i | ||||
\(70\) | 0.380661 | − | 1.66779i | 0.0454977 | − | 0.199339i | ||||
\(71\) | −3.40578 | − | 4.27072i | −0.404192 | − | 0.506841i | 0.537524 | − | 0.843248i | \(-0.319360\pi\) |
−0.941717 | + | 0.336407i | \(0.890788\pi\) | |||||||
\(72\) | −1.14030 | − | 0.549138i | −0.134385 | − | 0.0647165i | ||||
\(73\) | 1.35087 | + | 5.91853i | 0.158107 | + | 0.692712i | 0.990383 | + | 0.138351i | \(0.0441801\pi\) |
−0.832276 | + | 0.554361i | \(0.812963\pi\) | |||||||
\(74\) | −8.17980 | − | 3.93919i | −0.950883 | − | 0.457921i | ||||
\(75\) | −1.28772 | + | 1.61475i | −0.148693 | + | 0.186455i | ||||
\(76\) | −1.60904 | + | 7.04965i | −0.184569 | + | 0.808650i | ||||
\(77\) | 1.96736 | − | 2.46699i | 0.224201 | − | 0.281139i | ||||
\(78\) | 0.140681 | + | 0.616365i | 0.0159290 | + | 0.0697896i | ||||
\(79\) | −2.70149 | −0.303941 | −0.151971 | − | 0.988385i | \(-0.548562\pi\) | ||||
−0.151971 | + | 0.988385i | \(0.548562\pi\) | |||||||
\(80\) | −1.00000 | −0.111803 | ||||||||
\(81\) | 2.49114 | + | 10.9144i | 0.276793 | + | 1.21271i | ||||
\(82\) | 5.84440 | + | 7.32865i | 0.645406 | + | 0.809314i | ||||
\(83\) | −5.99425 | + | 2.88668i | −0.657954 | + | 0.316854i | −0.732903 | − | 0.680333i | \(-0.761835\pi\) |
0.0749485 | + | 0.997187i | \(0.476121\pi\) | |||||||
\(84\) | 3.18324 | + | 1.53297i | 0.347320 | + | 0.167260i | ||||
\(85\) | 3.49469 | 0.379052 | ||||||||
\(86\) | 6.15824 | + | 2.25300i | 0.664061 | + | 0.242948i | ||||
\(87\) | 4.45446 | 0.477568 | ||||||||
\(88\) | −1.66187 | − | 0.800313i | −0.177156 | − | 0.0853136i | ||||
\(89\) | −8.64185 | + | 4.16170i | −0.916034 | + | 0.441139i | −0.831654 | − | 0.555295i | \(-0.812605\pi\) |
−0.0843807 | + | 0.996434i | \(0.526891\pi\) | |||||||
\(90\) | −0.789110 | − | 0.989513i | −0.0831795 | − | 0.104304i | ||||
\(91\) | −0.116523 | − | 0.510521i | −0.0122149 | − | 0.0535172i | ||||
\(92\) | 3.44041 | 0.358688 | ||||||||
\(93\) | −16.3468 | −1.69509 | ||||||||
\(94\) | −0.818863 | − | 3.58767i | −0.0844593 | − | 0.370040i | ||||
\(95\) | −4.50842 | + | 5.65338i | −0.462554 | + | 0.580024i | ||||
\(96\) | 0.459582 | − | 2.01356i | 0.0469059 | − | 0.205508i | ||||
\(97\) | −3.83269 | + | 4.80604i | −0.389150 | + | 0.487979i | −0.937360 | − | 0.348362i | \(-0.886738\pi\) |
0.548210 | + | 0.836341i | \(0.315310\pi\) | |||||||
\(98\) | 3.67018 | + | 1.76746i | 0.370744 | + | 0.178541i | ||||
\(99\) | −0.519476 | − | 2.27597i | −0.0522093 | − | 0.228744i | ||||
\(100\) | −0.900969 | − | 0.433884i | −0.0900969 | − | 0.0433884i | ||||
\(101\) | −5.07098 | − | 6.35881i | −0.504582 | − | 0.632726i | 0.462674 | − | 0.886528i | \(-0.346890\pi\) |
−0.967256 | + | 0.253803i | \(0.918319\pi\) | |||||||
\(102\) | −1.60610 | + | 7.03676i | −0.159027 | + | 0.696743i | ||||
\(103\) | −0.976462 | + | 4.27816i | −0.0962137 | + | 0.421540i | −0.999979 | − | 0.00648870i | \(-0.997935\pi\) |
0.903765 | + | 0.428028i | \(0.140792\pi\) | |||||||
\(104\) | −0.275793 | + | 0.132815i | −0.0270437 | + | 0.0130236i | ||||
\(105\) | 2.20287 | + | 2.76231i | 0.214978 | + | 0.269574i | ||||
\(106\) | −3.67378 | + | 4.60677i | −0.356829 | + | 0.447449i | ||||
\(107\) | −15.8855 | + | 7.65006i | −1.53571 | + | 0.739560i | −0.994831 | − | 0.101540i | \(-0.967623\pi\) |
−0.540880 | + | 0.841100i | \(0.681909\pi\) | |||||||
\(108\) | −3.22732 | + | 1.55420i | −0.310549 | + | 0.149553i | ||||
\(109\) | −7.34000 | + | 9.20407i | −0.703044 | + | 0.881590i | −0.997247 | − | 0.0741533i | \(-0.976375\pi\) |
0.294202 | + | 0.955743i | \(0.404946\pi\) | |||||||
\(110\) | −1.15005 | − | 1.44211i | −0.109653 | − | 0.137500i | ||||
\(111\) | 16.8941 | − | 8.13576i | 1.60352 | − | 0.772212i | ||||
\(112\) | −0.380661 | + | 1.66779i | −0.0359691 | + | 0.157591i | ||||
\(113\) | 0.113996 | − | 0.499448i | 0.0107238 | − | 0.0469841i | −0.969283 | − | 0.245948i | \(-0.920901\pi\) |
0.980007 | + | 0.198964i | \(0.0637578\pi\) | |||||||
\(114\) | −9.31142 | − | 11.6762i | −0.872094 | − | 1.09357i | ||||
\(115\) | 3.09971 | + | 1.49274i | 0.289049 | + | 0.139199i | ||||
\(116\) | 0.479926 | + | 2.10269i | 0.0445600 | + | 0.195230i | ||||
\(117\) | −0.349053 | − | 0.168095i | −0.0322700 | − | 0.0155404i | ||||
\(118\) | −2.08533 | + | 2.61492i | −0.191970 | + | 0.240723i | ||||
\(119\) | 1.33029 | − | 5.82839i | 0.121948 | − | 0.534288i | ||||
\(120\) | 1.28772 | − | 1.61475i | 0.117552 | − | 0.147406i | ||||
\(121\) | 1.69065 | + | 7.40721i | 0.153695 | + | 0.673383i | ||||
\(122\) | 0.468917 | 0.0424538 | ||||||||
\(123\) | −19.3599 | −1.74562 | ||||||||
\(124\) | −1.76122 | − | 7.71640i | −0.158162 | − | 0.692953i | ||||
\(125\) | −0.623490 | − | 0.781831i | −0.0557666 | − | 0.0699291i | ||||
\(126\) | −1.95068 | + | 0.939397i | −0.173780 | + | 0.0836882i | ||||
\(127\) | 5.12511 | + | 2.46812i | 0.454780 | + | 0.219011i | 0.647228 | − | 0.762297i | \(-0.275928\pi\) |
−0.192448 | + | 0.981307i | \(0.561643\pi\) | |||||||
\(128\) | 1.00000 | 0.0883883 | ||||||||
\(129\) | −11.5681 | + | 7.04278i | −1.01852 | + | 0.620082i | ||||
\(130\) | −0.306107 | −0.0268474 | ||||||||
\(131\) | −10.3770 | − | 4.99731i | −0.906645 | − | 0.436617i | −0.0783606 | − | 0.996925i | \(-0.524969\pi\) |
−0.828284 | + | 0.560308i | \(0.810683\pi\) | |||||||
\(132\) | 3.43232 | − | 1.65292i | 0.298745 | − | 0.143868i | ||||
\(133\) | 7.71244 | + | 9.67110i | 0.668754 | + | 0.838590i | ||||
\(134\) | −0.900086 | − | 3.94353i | −0.0777556 | − | 0.340669i | ||||
\(135\) | −3.58206 | −0.308294 | ||||||||
\(136\) | −3.49469 | −0.299667 | ||||||||
\(137\) | 1.69465 | + | 7.42477i | 0.144784 | + | 0.634341i | 0.994285 | + | 0.106754i | \(0.0340458\pi\) |
−0.849501 | + | 0.527586i | \(0.823097\pi\) | |||||||
\(138\) | −4.43029 | + | 5.55540i | −0.377131 | + | 0.472907i | ||||
\(139\) | 0.226985 | − | 0.994486i | 0.0192526 | − | 0.0843512i | −0.964389 | − | 0.264488i | \(-0.914797\pi\) |
0.983642 | + | 0.180137i | \(0.0576541\pi\) | |||||||
\(140\) | −1.06659 | + | 1.33746i | −0.0901432 | + | 0.113036i | ||||
\(141\) | 6.84766 | + | 3.29766i | 0.576677 | + | 0.277713i | ||||
\(142\) | 1.21551 | + | 5.32550i | 0.102003 | + | 0.446906i | ||||
\(143\) | −0.508709 | − | 0.244981i | −0.0425404 | − | 0.0204864i | ||||
\(144\) | 0.789110 | + | 0.989513i | 0.0657592 | + | 0.0824594i | ||||
\(145\) | −0.479926 | + | 2.10269i | −0.0398557 | + | 0.174619i | ||||
\(146\) | 1.35087 | − | 5.91853i | 0.111798 | − | 0.489821i | ||||
\(147\) | −7.58016 | + | 3.65041i | −0.625201 | + | 0.301081i | ||||
\(148\) | 5.66060 | + | 7.09817i | 0.465298 | + | 0.583466i | ||||
\(149\) | 2.12828 | − | 2.66878i | 0.174356 | − | 0.218635i | −0.686973 | − | 0.726683i | \(-0.741061\pi\) |
0.861329 | + | 0.508047i | \(0.169632\pi\) | |||||||
\(150\) | 1.86081 | − | 0.896118i | 0.151934 | − | 0.0731677i | ||||
\(151\) | −9.39245 | + | 4.52316i | −0.764347 | + | 0.368090i | −0.775089 | − | 0.631852i | \(-0.782295\pi\) |
0.0107421 | + | 0.999942i | \(0.496581\pi\) | |||||||
\(152\) | 4.50842 | − | 5.65338i | 0.365681 | − | 0.458549i | ||||
\(153\) | −2.75769 | − | 3.45804i | −0.222946 | − | 0.279566i | ||||
\(154\) | −2.84291 | + | 1.36908i | −0.229089 | + | 0.110323i | ||||
\(155\) | 1.76122 | − | 7.71640i | 0.141464 | − | 0.619796i | ||||
\(156\) | 0.140681 | − | 0.616365i | 0.0112635 | − | 0.0493487i | ||||
\(157\) | 0.0857448 | + | 0.107521i | 0.00684318 | + | 0.00858107i | 0.785241 | − | 0.619190i | \(-0.212539\pi\) |
−0.778398 | + | 0.627771i | \(0.783967\pi\) | |||||||
\(158\) | 2.43396 | + | 1.17213i | 0.193635 | + | 0.0932499i | ||||
\(159\) | −2.70798 | − | 11.8644i | −0.214757 | − | 0.940912i | ||||
\(160\) | 0.900969 | + | 0.433884i | 0.0712278 | + | 0.0343015i | ||||
\(161\) | 3.66951 | − | 4.60142i | 0.289198 | − | 0.362643i | ||||
\(162\) | 2.49114 | − | 10.9144i | 0.195722 | − | 0.857515i | ||||
\(163\) | 10.0340 | − | 12.5822i | 0.785922 | − | 0.985515i | −0.214040 | − | 0.976825i | \(-0.568662\pi\) |
0.999962 | − | 0.00869048i | \(-0.00276630\pi\) | |||||||
\(164\) | −2.08584 | − | 9.13868i | −0.162877 | − | 0.713611i | ||||
\(165\) | 3.80959 | 0.296576 | ||||||||
\(166\) | 6.65312 | 0.516382 | ||||||||
\(167\) | −2.62907 | − | 11.5187i | −0.203443 | − | 0.891344i | −0.968821 | − | 0.247762i | \(-0.920305\pi\) |
0.765377 | − | 0.643582i | \(-0.222552\pi\) | |||||||
\(168\) | −2.20287 | − | 2.76231i | −0.169955 | − | 0.213117i | ||||
\(169\) | 11.6282 | − | 5.59983i | 0.894475 | − | 0.430756i | ||||
\(170\) | −3.14861 | − | 1.51629i | −0.241487 | − | 0.116294i | ||||
\(171\) | 9.15173 | 0.699850 | ||||||||
\(172\) | −4.57084 | − | 4.70185i | −0.348524 | − | 0.358513i | ||||
\(173\) | 22.3973 | 1.70284 | 0.851419 | − | 0.524486i | \(-0.175743\pi\) | ||||
0.851419 | + | 0.524486i | \(0.175743\pi\) | |||||||
\(174\) | −4.01333 | − | 1.93272i | −0.304250 | − | 0.146519i | ||||
\(175\) | −1.54127 | + | 0.742235i | −0.116509 | + | 0.0561077i | ||||
\(176\) | 1.15005 | + | 1.44211i | 0.0866881 | + | 0.108703i | ||||
\(177\) | −1.53712 | − | 6.73457i | −0.115537 | − | 0.506201i | ||||
\(178\) | 9.59173 | 0.718931 | ||||||||
\(179\) | −13.3545 | −0.998162 | −0.499081 | − | 0.866555i | \(-0.666329\pi\) | ||||
−0.499081 | + | 0.866555i | \(0.666329\pi\) | |||||||
\(180\) | 0.281630 | + | 1.23390i | 0.0209915 | + | 0.0919696i | ||||
\(181\) | −9.18178 | + | 11.5136i | −0.682476 | + | 0.855798i | −0.995580 | − | 0.0939210i | \(-0.970060\pi\) |
0.313104 | + | 0.949719i | \(0.398631\pi\) | |||||||
\(182\) | −0.116523 | + | 0.510521i | −0.00863727 | + | 0.0378424i | ||||
\(183\) | −0.603834 | + | 0.757184i | −0.0446367 | + | 0.0559726i | ||||
\(184\) | −3.09971 | − | 1.49274i | −0.228513 | − | 0.110046i | ||||
\(185\) | 2.02024 | + | 8.85127i | 0.148531 | + | 0.650758i | ||||
\(186\) | 14.7280 | + | 7.09263i | 1.07991 | + | 0.520057i | ||||
\(187\) | −4.01906 | − | 5.03974i | −0.293903 | − | 0.368542i | ||||
\(188\) | −0.818863 | + | 3.58767i | −0.0597217 | + | 0.261658i | ||||
\(189\) | −1.36355 | + | 5.97410i | −0.0991837 | + | 0.434552i | ||||
\(190\) | 6.51485 | − | 3.13739i | 0.472637 | − | 0.227610i | ||||
\(191\) | 15.6091 | + | 19.5732i | 1.12943 | + | 1.41626i | 0.896091 | + | 0.443870i | \(0.146395\pi\) |
0.233342 | + | 0.972395i | \(0.425034\pi\) | |||||||
\(192\) | −1.28772 | + | 1.61475i | −0.0929331 | + | 0.116534i | ||||
\(193\) | 6.85975 | − | 3.30348i | 0.493775 | − | 0.237790i | −0.170388 | − | 0.985377i | \(-0.554502\pi\) |
0.664163 | + | 0.747587i | \(0.268788\pi\) | |||||||
\(194\) | 5.53839 | − | 2.66715i | 0.397633 | − | 0.191490i | ||||
\(195\) | 0.394180 | − | 0.494286i | 0.0282278 | − | 0.0353966i | ||||
\(196\) | −2.53984 | − | 3.18486i | −0.181417 | − | 0.227490i | ||||
\(197\) | 22.8582 | − | 11.0079i | 1.62858 | − | 0.784281i | 0.628598 | − | 0.777731i | \(-0.283629\pi\) |
0.999979 | − | 0.00655044i | \(-0.00208508\pi\) | |||||||
\(198\) | −0.519476 | + | 2.27597i | −0.0369175 | + | 0.161746i | ||||
\(199\) | 1.29267 | − | 5.66356i | 0.0916349 | − | 0.401479i | −0.908220 | − | 0.418492i | \(-0.862559\pi\) |
0.999855 | + | 0.0170135i | \(0.00541582\pi\) | |||||||
\(200\) | 0.623490 | + | 0.781831i | 0.0440874 | + | 0.0552838i | ||||
\(201\) | 7.52687 | + | 3.62475i | 0.530905 | + | 0.255670i | ||||
\(202\) | 1.80981 | + | 7.92931i | 0.127338 | + | 0.557904i | ||||
\(203\) | 3.32415 | + | 1.60083i | 0.233310 | + | 0.112356i | ||||
\(204\) | 4.50018 | − | 5.64305i | 0.315076 | − | 0.395092i | ||||
\(205\) | 2.08584 | − | 9.13868i | 0.145682 | − | 0.638273i | ||||
\(206\) | 2.73599 | − | 3.43082i | 0.190625 | − | 0.239037i | ||||
\(207\) | −0.968924 | − | 4.24513i | −0.0673449 | − | 0.295057i | ||||
\(208\) | 0.306107 | 0.0212247 | ||||||||
\(209\) | 13.3377 | 0.922588 | ||||||||
\(210\) | −0.786195 | − | 3.44455i | −0.0542526 | − | 0.237696i | ||||
\(211\) | −12.1680 | − | 15.2582i | −0.837679 | − | 1.05042i | −0.997991 | − | 0.0633503i | \(-0.979821\pi\) |
0.160312 | − | 0.987066i | \(-0.448750\pi\) | |||||||
\(212\) | 5.30876 | − | 2.55656i | 0.364607 | − | 0.175586i | ||||
\(213\) | −10.1646 | − | 4.89500i | −0.696465 | − | 0.335400i | ||||
\(214\) | 17.6316 | 1.20527 | ||||||||
\(215\) | −2.07813 | − | 6.21943i | −0.141728 | − | 0.424162i | ||||
\(216\) | 3.58206 | 0.243728 | ||||||||
\(217\) | −12.1989 | − | 5.87467i | −0.828113 | − | 0.398798i | ||||
\(218\) | 10.6066 | − | 5.10787i | 0.718370 | − | 0.345949i | ||||
\(219\) | 7.81741 | + | 9.80272i | 0.528251 | + | 0.662406i | ||||
\(220\) | 0.410447 | + | 1.79829i | 0.0276723 | + | 0.121240i | ||||
\(221\) | −1.06975 | −0.0719592 | ||||||||
\(222\) | −18.7510 | −1.25849 | ||||||||
\(223\) | −3.17269 | − | 13.9005i | −0.212459 | − | 0.930844i | −0.962890 | − | 0.269895i | \(-0.913011\pi\) |
0.750431 | − | 0.660949i | \(-0.229846\pi\) | |||||||
\(224\) | 1.06659 | − | 1.33746i | 0.0712645 | − | 0.0893628i | ||||
\(225\) | −0.281630 | + | 1.23390i | −0.0187753 | + | 0.0822601i | ||||
\(226\) | −0.319409 | + | 0.400526i | −0.0212468 | + | 0.0266426i | ||||
\(227\) | 5.21069 | + | 2.50933i | 0.345845 | + | 0.166550i | 0.598740 | − | 0.800943i | \(-0.295668\pi\) |
−0.252895 | + | 0.967494i | \(0.581383\pi\) | |||||||
\(228\) | 3.32321 | + | 14.5599i | 0.220085 | + | 0.964254i | ||||
\(229\) | 13.2673 | + | 6.38921i | 0.876729 | + | 0.422211i | 0.817429 | − | 0.576030i | \(-0.195399\pi\) |
0.0593005 | + | 0.998240i | \(0.481113\pi\) | |||||||
\(230\) | −2.14506 | − | 2.68982i | −0.141441 | − | 0.177362i | ||||
\(231\) | 1.45016 | − | 6.35358i | 0.0954137 | − | 0.418035i | ||||
\(232\) | 0.479926 | − | 2.10269i | 0.0315087 | − | 0.138049i | ||||
\(233\) | −16.3589 | + | 7.87803i | −1.07171 | + | 0.516107i | −0.884656 | − | 0.466244i | \(-0.845607\pi\) |
−0.187050 | + | 0.982350i | \(0.559893\pi\) | |||||||
\(234\) | 0.241552 | + | 0.302897i | 0.0157908 | + | 0.0198010i | ||||
\(235\) | −2.29440 | + | 2.87709i | −0.149670 | + | 0.187681i | ||||
\(236\) | 3.01339 | − | 1.45117i | 0.196155 | − | 0.0944632i | ||||
\(237\) | −5.02696 | + | 2.42085i | −0.326536 | + | 0.157251i | ||||
\(238\) | −3.72740 | + | 4.67401i | −0.241611 | + | 0.302971i | ||||
\(239\) | −12.2058 | − | 15.3057i | −0.789531 | − | 0.990040i | −0.999923 | − | 0.0124232i | \(-0.996045\pi\) |
0.210392 | − | 0.977617i | \(-0.432526\pi\) | |||||||
\(240\) | −1.86081 | + | 0.896118i | −0.120115 | + | 0.0578442i | ||||
\(241\) | −0.0785477 | + | 0.344140i | −0.00505970 | + | 0.0221680i | −0.977395 | − | 0.211423i | \(-0.932190\pi\) |
0.972335 | + | 0.233591i | \(0.0750475\pi\) | |||||||
\(242\) | 1.69065 | − | 7.40721i | 0.108679 | − | 0.476154i | ||||
\(243\) | 7.71598 | + | 9.67553i | 0.494980 | + | 0.620686i | ||||
\(244\) | −0.422480 | − | 0.203456i | −0.0270465 | − | 0.0130249i | ||||
\(245\) | −0.906458 | − | 3.97145i | −0.0579115 | − | 0.253727i | ||||
\(246\) | 17.4426 | + | 8.39994i | 1.11210 | + | 0.535560i | ||||
\(247\) | 1.38006 | − | 1.73054i | 0.0878111 | − | 0.110112i | ||||
\(248\) | −1.76122 | + | 7.71640i | −0.111837 | + | 0.489992i | ||||
\(249\) | −8.56734 | + | 10.7431i | −0.542933 | + | 0.680817i | ||||
\(250\) | 0.222521 | + | 0.974928i | 0.0140735 | + | 0.0616599i | ||||
\(251\) | 16.8207 | 1.06171 | 0.530856 | − | 0.847462i | \(-0.321871\pi\) | ||||
0.530856 | + | 0.847462i | \(0.321871\pi\) | |||||||
\(252\) | 2.16509 | 0.136388 | ||||||||
\(253\) | −1.41211 | − | 6.18685i | −0.0887785 | − | 0.388964i | ||||
\(254\) | −3.54669 | − | 4.44740i | −0.222539 | − | 0.279055i | ||||
\(255\) | 6.50295 | − | 3.13165i | 0.407230 | − | 0.196112i | ||||
\(256\) | −0.900969 | − | 0.433884i | −0.0563106 | − | 0.0271177i | ||||
\(257\) | 7.34771 | 0.458338 | 0.229169 | − | 0.973387i | \(-0.426399\pi\) | ||||
0.229169 | + | 0.973387i | \(0.426399\pi\) | |||||||
\(258\) | 13.4783 | − | 1.32611i | 0.839120 | − | 0.0825597i | ||||
\(259\) | 15.5311 | 0.965053 | ||||||||
\(260\) | 0.275793 | + | 0.132815i | 0.0171040 | + | 0.00823683i | ||||
\(261\) | 2.45936 | − | 1.18436i | 0.152230 | − | 0.0733102i | ||||
\(262\) | 7.18113 | + | 9.00485i | 0.443651 | + | 0.556321i | ||||
\(263\) | −6.57767 | − | 28.8186i | −0.405596 | − | 1.77703i | −0.604074 | − | 0.796928i | \(-0.706457\pi\) |
0.198478 | − | 0.980105i | \(-0.436400\pi\) | |||||||
\(264\) | −3.80959 | −0.234464 | ||||||||
\(265\) | 5.89228 | 0.361960 | ||||||||
\(266\) | −2.75254 | − | 12.0597i | −0.168769 | − | 0.739425i | ||||
\(267\) | −12.3515 | + | 15.4882i | −0.755897 | + | 0.947865i | ||||
\(268\) | −0.900086 | + | 3.94353i | −0.0549815 | + | 0.240890i | ||||
\(269\) | −16.1392 | + | 20.2379i | −0.984022 | + | 1.23392i | −0.0117838 | + | 0.999931i | \(0.503751\pi\) |
−0.972238 | + | 0.233994i | \(0.924820\pi\) | |||||||
\(270\) | 3.22732 | + | 1.55420i | 0.196409 | + | 0.0945854i | ||||
\(271\) | −2.53470 | − | 11.1052i | −0.153972 | − | 0.674596i | −0.991707 | − | 0.128519i | \(-0.958978\pi\) |
0.837735 | − | 0.546077i | \(-0.183879\pi\) | |||||||
\(272\) | 3.14861 | + | 1.51629i | 0.190912 | + | 0.0919385i | ||||
\(273\) | −0.674315 | − | 0.845564i | −0.0408114 | − | 0.0511758i | ||||
\(274\) | 1.69465 | − | 7.42477i | 0.102378 | − | 0.448547i | ||||
\(275\) | −0.410447 | + | 1.79829i | −0.0247509 | + | 0.108441i | ||||
\(276\) | 6.40195 | − | 3.08302i | 0.385352 | − | 0.185576i | ||||
\(277\) | −2.42348 | − | 3.03895i | −0.145613 | − | 0.182593i | 0.703676 | − | 0.710521i | \(-0.251541\pi\) |
−0.849289 | + | 0.527928i | \(0.822969\pi\) | |||||||
\(278\) | −0.635998 | + | 0.797516i | −0.0381446 | + | 0.0478318i | ||||
\(279\) | −9.02527 | + | 4.34634i | −0.540329 | + | 0.260209i | ||||
\(280\) | 1.54127 | − | 0.742235i | 0.0921083 | − | 0.0443570i | ||||
\(281\) | 0.601820 | − | 0.754658i | 0.0359016 | − | 0.0450191i | −0.763557 | − | 0.645741i | \(-0.776549\pi\) |
0.799458 | + | 0.600722i | \(0.205120\pi\) | |||||||
\(282\) | −4.73873 | − | 5.94217i | −0.282187 | − | 0.353851i | ||||
\(283\) | 3.87086 | − | 1.86411i | 0.230098 | − | 0.110810i | −0.315282 | − | 0.948998i | \(-0.602099\pi\) |
0.545381 | + | 0.838188i | \(0.316385\pi\) | |||||||
\(284\) | 1.21551 | − | 5.32550i | 0.0721273 | − | 0.316010i | ||||
\(285\) | −3.32321 | + | 14.5599i | −0.196850 | + | 0.862455i | ||||
\(286\) | 0.352038 | + | 0.441441i | 0.0208164 | + | 0.0261030i | ||||
\(287\) | −14.4474 | − | 6.95748i | −0.852800 | − | 0.410687i | ||||
\(288\) | −0.281630 | − | 1.23390i | −0.0165952 | − | 0.0727084i | ||||
\(289\) | 4.31307 | + | 2.07706i | 0.253710 | + | 0.122180i | ||||
\(290\) | 1.34472 | − | 1.68623i | 0.0789648 | − | 0.0990188i | ||||
\(291\) | −2.82512 | + | 12.3777i | −0.165611 | + | 0.725591i | ||||
\(292\) | −3.78504 | + | 4.74629i | −0.221503 | + | 0.277756i | ||||
\(293\) | −5.51980 | − | 24.1838i | −0.322470 | − | 1.41283i | −0.833143 | − | 0.553058i | \(-0.813461\pi\) |
0.510673 | − | 0.859775i | \(-0.329396\pi\) | |||||||
\(294\) | 8.41335 | 0.490676 | ||||||||
\(295\) | 3.34461 | 0.194731 | ||||||||
\(296\) | −2.02024 | − | 8.85127i | −0.117424 | − | 0.514470i | ||||
\(297\) | 4.11953 | + | 5.16573i | 0.239040 | + | 0.299746i | ||||
\(298\) | −3.07546 | + | 1.48106i | −0.178157 | + | 0.0857957i | ||||
\(299\) | −0.948843 | − | 0.456938i | −0.0548730 | − | 0.0264254i | ||||
\(300\) | −2.06534 | −0.119243 | ||||||||
\(301\) | −11.1637 | + | 1.09838i | −0.643468 | + | 0.0633098i | ||||
\(302\) | 10.4248 | 0.599882 | ||||||||
\(303\) | −15.1344 | − | 7.28833i | −0.869447 | − | 0.418704i | ||||
\(304\) | −6.51485 | + | 3.13739i | −0.373652 | + | 0.179942i | ||||
\(305\) | −0.292365 | − | 0.366614i | −0.0167408 | − | 0.0209923i | ||||
\(306\) | 0.984210 | + | 4.31210i | 0.0562635 | + | 0.246507i | ||||
\(307\) | −23.2190 | −1.32518 | −0.662589 | − | 0.748983i | \(-0.730543\pi\) | ||||
−0.662589 | + | 0.748983i | \(0.730543\pi\) | |||||||
\(308\) | 3.15540 | 0.179795 | ||||||||
\(309\) | 2.01673 | + | 8.83586i | 0.114728 | + | 0.502655i | ||||
\(310\) | −4.93482 | + | 6.18807i | −0.280279 | + | 0.351459i | ||||
\(311\) | 3.36337 | − | 14.7359i | 0.190719 | − | 0.835595i | −0.785509 | − | 0.618850i | \(-0.787599\pi\) |
0.976228 | − | 0.216745i | \(-0.0695439\pi\) | |||||||
\(312\) | −0.394180 | + | 0.494286i | −0.0223161 | + | 0.0279835i | ||||
\(313\) | 11.2821 | + | 5.43319i | 0.637704 | + | 0.307102i | 0.724656 | − | 0.689110i | \(-0.241999\pi\) |
−0.0869523 | + | 0.996212i | \(0.527713\pi\) | |||||||
\(314\) | −0.0306020 | − | 0.134076i | −0.00172697 | − | 0.00756634i | ||||
\(315\) | 1.95068 | + | 0.939397i | 0.109908 | + | 0.0529290i | ||||
\(316\) | −1.68435 | − | 2.11211i | −0.0947522 | − | 0.118816i | ||||
\(317\) | 2.20172 | − | 9.64636i | 0.123661 | − | 0.541794i | −0.874705 | − | 0.484655i | \(-0.838945\pi\) |
0.998366 | − | 0.0571386i | \(-0.0181977\pi\) | |||||||
\(318\) | −2.70798 | + | 11.8644i | −0.151856 | + | 0.665325i | ||||
\(319\) | 3.58426 | − | 1.72609i | 0.200680 | − | 0.0966424i | ||||
\(320\) | −0.623490 | − | 0.781831i | −0.0348541 | − | 0.0437057i | ||||
\(321\) | −22.7045 | + | 28.4706i | −1.26724 | + | 1.58907i | ||||
\(322\) | −5.30259 | + | 2.55359i | −0.295502 | + | 0.142306i | ||||
\(323\) | 22.7674 | − | 10.9642i | 1.26681 | − | 0.610064i | ||||
\(324\) | −6.98001 | + | 8.75266i | −0.387779 | + | 0.486259i | ||||
\(325\) | 0.190855 | + | 0.239324i | 0.0105867 | + | 0.0132753i | ||||
\(326\) | −14.4995 | + | 6.98260i | −0.803055 | + | 0.386731i | ||||
\(327\) | −5.41040 | + | 23.7045i | −0.299196 | + | 1.31086i | ||||
\(328\) | −2.08584 | + | 9.13868i | −0.115171 | + | 0.504599i | ||||
\(329\) | 3.92498 | + | 4.92177i | 0.216391 | + | 0.271346i | ||||
\(330\) | −3.43232 | − | 1.65292i | −0.188943 | − | 0.0909902i | ||||
\(331\) | −4.85177 | − | 21.2570i | −0.266678 | − | 1.16839i | −0.913851 | − | 0.406049i | \(-0.866906\pi\) |
0.647174 | − | 0.762342i | \(-0.275951\pi\) | |||||||
\(332\) | −5.99425 | − | 2.88668i | −0.328977 | − | 0.158427i | ||||
\(333\) | 7.16425 | − | 8.98368i | 0.392598 | − | 0.492303i | ||||
\(334\) | −2.62907 | + | 11.5187i | −0.143856 | + | 0.630275i | ||||
\(335\) | −2.52198 | + | 3.16247i | −0.137791 | + | 0.172784i | ||||
\(336\) | 0.786195 | + | 3.44455i | 0.0428905 | + | 0.187915i | ||||
\(337\) | 21.1659 | 1.15298 | 0.576491 | − | 0.817104i | \(-0.304422\pi\) | ||||
0.576491 | + | 0.817104i | \(0.304422\pi\) | |||||||
\(338\) | −12.9063 | −0.702010 | ||||||||
\(339\) | −0.235440 | − | 1.03153i | −0.0127873 | − | 0.0560250i | ||||
\(340\) | 2.17890 | + | 2.73226i | 0.118168 | + | 0.148178i | ||||
\(341\) | −13.1534 | + | 6.33435i | −0.712297 | + | 0.343024i | ||||
\(342\) | −8.24542 | − | 3.97078i | −0.445861 | − | 0.214715i | ||||
\(343\) | −18.9433 | −1.02284 | ||||||||
\(344\) | 2.07813 | + | 6.21943i | 0.112045 | + | 0.335329i | ||||
\(345\) | 7.10563 | 0.382554 | ||||||||
\(346\) | −20.1793 | − | 9.71784i | −1.08485 | − | 0.522434i | ||||
\(347\) | −31.1795 | + | 15.0152i | −1.67380 | + | 0.806061i | −0.676210 | + | 0.736709i | \(0.736379\pi\) |
−0.997592 | + | 0.0693522i | \(0.977907\pi\) | |||||||
\(348\) | 2.77731 | + | 3.48264i | 0.148880 | + | 0.186689i | ||||
\(349\) | −4.07118 | − | 17.8370i | −0.217925 | − | 0.954793i | −0.959008 | − | 0.283379i | \(-0.908544\pi\) |
0.741083 | − | 0.671414i | \(-0.234313\pi\) | |||||||
\(350\) | 1.71068 | 0.0914395 | ||||||||
\(351\) | 1.09649 | 0.0585265 | ||||||||
\(352\) | −0.410447 | − | 1.79829i | −0.0218769 | − | 0.0958490i | ||||
\(353\) | −7.34482 | + | 9.21011i | −0.390925 | + | 0.490205i | −0.937881 | − | 0.346957i | \(-0.887215\pi\) |
0.546956 | + | 0.837161i | \(0.315787\pi\) | |||||||
\(354\) | −1.53712 | + | 6.73457i | −0.0816971 | + | 0.357938i | ||||
\(355\) | 3.40578 | − | 4.27072i | 0.180760 | − | 0.226666i | ||||
\(356\) | −8.64185 | − | 4.16170i | −0.458017 | − | 0.220569i | ||||
\(357\) | −2.74751 | − | 12.0376i | −0.145414 | − | 0.637098i | ||||
\(358\) | 12.0320 | + | 5.79430i | 0.635910 | + | 0.306238i | ||||
\(359\) | 19.9449 | + | 25.0101i | 1.05265 | + | 1.31998i | 0.945459 | + | 0.325743i | \(0.105614\pi\) |
0.107191 | + | 0.994238i | \(0.465814\pi\) | |||||||
\(360\) | 0.281630 | − | 1.23390i | 0.0148432 | − | 0.0650324i | ||||
\(361\) | −7.40694 | + | 32.4519i | −0.389839 | + | 1.70800i | ||||
\(362\) | 13.2681 | − | 6.38956i | 0.697353 | − | 0.335828i | ||||
\(363\) | 9.78371 | + | 12.2684i | 0.513511 | + | 0.643923i | ||||
\(364\) | 0.326491 | − | 0.409406i | 0.0171128 | − | 0.0214587i | ||||
\(365\) | −5.46955 | + | 2.63399i | −0.286289 | + | 0.137870i | ||||
\(366\) | 0.872565 | − | 0.420205i | 0.0456097 | − | 0.0219645i | ||||
\(367\) | −9.15630 | + | 11.4816i | −0.477955 | + | 0.599337i | −0.961099 | − | 0.276204i | \(-0.910923\pi\) |
0.483144 | + | 0.875541i | \(0.339495\pi\) | |||||||
\(368\) | 2.14506 | + | 2.68982i | 0.111819 | + | 0.140217i | ||||
\(369\) | −10.6888 | + | 5.14745i | −0.556436 | + | 0.267966i | ||||
\(370\) | 2.02024 | − | 8.85127i | 0.105028 | − | 0.460156i | ||||
\(371\) | 2.24296 | − | 9.82706i | 0.116449 | − | 0.510195i | ||||
\(372\) | −10.1921 | − | 12.7805i | −0.528435 | − | 0.662637i | ||||
\(373\) | 8.11033 | + | 3.90573i | 0.419937 | + | 0.202231i | 0.631905 | − | 0.775046i | \(-0.282273\pi\) |
−0.211969 | + | 0.977276i | \(0.567987\pi\) | |||||||
\(374\) | 1.43438 | + | 6.28445i | 0.0741703 | + | 0.324961i | ||||
\(375\) | −1.86081 | − | 0.896118i | −0.0960917 | − | 0.0462753i | ||||
\(376\) | 2.29440 | − | 2.87709i | 0.118325 | − | 0.148375i | ||||
\(377\) | 0.146909 | − | 0.643650i | 0.00756619 | − | 0.0331496i | ||||
\(378\) | 3.82058 | − | 4.79086i | 0.196510 | − | 0.246415i | ||||
\(379\) | 5.62138 | + | 24.6289i | 0.288751 | + | 1.26510i | 0.886241 | + | 0.463224i | \(0.153308\pi\) |
−0.597490 | + | 0.801876i | \(0.703835\pi\) | |||||||
\(380\) | −7.23094 | −0.370939 | ||||||||
\(381\) | 11.7486 | 0.601898 | ||||||||
\(382\) | −5.57082 | − | 24.4073i | −0.285028 | − | 1.24879i | ||||
\(383\) | 9.50911 | + | 11.9241i | 0.485893 | + | 0.609291i | 0.962982 | − | 0.269564i | \(-0.0868796\pi\) |
−0.477089 | + | 0.878855i | \(0.658308\pi\) | |||||||
\(384\) | 1.86081 | − | 0.896118i | 0.0949590 | − | 0.0457298i | ||||
\(385\) | 2.84291 | + | 1.36908i | 0.144888 | + | 0.0697745i | ||||
\(386\) | −7.61374 | −0.387529 | ||||||||
\(387\) | −4.51433 | + | 6.96416i | −0.229476 | + | 0.354008i | ||||
\(388\) | −6.14715 | −0.312074 | ||||||||
\(389\) | 3.93909 | + | 1.89696i | 0.199720 | + | 0.0961799i | 0.531070 | − | 0.847328i | \(-0.321790\pi\) |
−0.331351 | + | 0.943508i | \(0.607504\pi\) | |||||||
\(390\) | −0.569607 | + | 0.274308i | −0.0288432 | + | 0.0138901i | ||||
\(391\) | −7.49633 | − | 9.40010i | −0.379106 | − | 0.475383i | ||||
\(392\) | 0.906458 | + | 3.97145i | 0.0457831 | + | 0.200589i | ||||
\(393\) | −23.7878 | −1.19994 | ||||||||
\(394\) | −25.3706 | −1.27815 | ||||||||
\(395\) | −0.601138 | − | 2.63376i | −0.0302466 | − | 0.132519i | ||||
\(396\) | 1.45554 | − | 1.82519i | 0.0731436 | − | 0.0917191i | ||||
\(397\) | 7.63282 | − | 33.4416i | 0.383080 | − | 1.67838i | −0.304686 | − | 0.952453i | \(-0.598552\pi\) |
0.687766 | − | 0.725932i | \(-0.258591\pi\) | |||||||
\(398\) | −3.62198 | + | 4.54182i | −0.181553 | + | 0.227661i | ||||
\(399\) | 23.0178 | + | 11.0848i | 1.15233 | + | 0.554934i | ||||
\(400\) | −0.222521 | − | 0.974928i | −0.0111260 | − | 0.0487464i | ||||
\(401\) | 3.30779 | + | 1.59295i | 0.165183 | + | 0.0795480i | 0.514648 | − | 0.857401i | \(-0.327922\pi\) |
−0.349465 | + | 0.936949i | \(0.613637\pi\) | |||||||
\(402\) | −5.20876 | − | 6.53158i | −0.259789 | − | 0.325765i | ||||
\(403\) | −0.539122 | + | 2.36205i | −0.0268556 | + | 0.117662i | ||||
\(404\) | 1.80981 | − | 7.92931i | 0.0900416 | − | 0.394498i | ||||
\(405\) | −10.0864 | + | 4.85736i | −0.501198 | + | 0.241364i | ||||
\(406\) | −2.30038 | − | 2.88459i | −0.114166 | − | 0.143160i | ||||
\(407\) | 10.4412 | − | 13.0928i | 0.517549 | − | 0.648986i | ||||
\(408\) | −6.50295 | + | 3.13165i | −0.321944 | + | 0.155040i | ||||
\(409\) | 25.6096 | − | 12.3329i | 1.26631 | − | 0.609823i | 0.324474 | − | 0.945894i | \(-0.394813\pi\) |
0.941837 | + | 0.336071i | \(0.109098\pi\) | |||||||
\(410\) | −5.84440 | + | 7.32865i | −0.288634 | + | 0.361936i | ||||
\(411\) | 9.80689 | + | 12.2975i | 0.483738 | + | 0.606589i | ||||
\(412\) | −3.95362 | + | 1.90396i | −0.194781 | + | 0.0938014i | ||||
\(413\) | 1.27316 | − | 5.57809i | 0.0626483 | − | 0.274480i | ||||
\(414\) | −0.968924 | + | 4.24513i | −0.0476200 | + | 0.208637i | ||||
\(415\) | −4.14815 | − | 5.20162i | −0.203625 | − | 0.255337i | ||||
\(416\) | −0.275793 | − | 0.132815i | −0.0135219 | − | 0.00651179i | ||||
\(417\) | −0.468801 | − | 2.05395i | −0.0229573 | − | 0.100582i | ||||
\(418\) | −12.0169 | − | 5.78701i | −0.587764 | − | 0.283052i | ||||
\(419\) | −6.82813 | + | 8.56221i | −0.333576 | + | 0.418291i | −0.920126 | − | 0.391622i | \(-0.871914\pi\) |
0.586550 | + | 0.809913i | \(0.300486\pi\) | |||||||
\(420\) | −0.786195 | + | 3.44455i | −0.0383624 | + | 0.168077i | ||||
\(421\) | 18.9680 | − | 23.7851i | 0.924442 | − | 1.15921i | −0.0624853 | − | 0.998046i | \(-0.519903\pi\) |
0.986927 | − | 0.161167i | \(-0.0515259\pi\) | |||||||
\(422\) | 4.34271 | + | 19.0266i | 0.211400 | + | 0.926203i | ||||
\(423\) | 4.65745 | 0.226453 | ||||||||
\(424\) | −5.89228 | −0.286154 | ||||||||
\(425\) | 0.777642 | + | 3.40707i | 0.0377212 | + | 0.165267i | ||||
\(426\) | 7.03411 | + | 8.82049i | 0.340804 | + | 0.427354i | ||||
\(427\) | −0.722726 | + | 0.348047i | −0.0349752 | + | 0.0168432i | ||||
\(428\) | −15.8855 | − | 7.65006i | −0.767856 | − | 0.369780i | ||||
\(429\) | −1.16614 | −0.0563019 | ||||||||
\(430\) | −0.826178 | + | 6.50518i | −0.0398418 | + | 0.313708i | ||||
\(431\) | 37.6251 | 1.81234 | 0.906168 | − | 0.422918i | \(-0.138994\pi\) | ||||
0.906168 | + | 0.422918i | \(0.138994\pi\) | |||||||
\(432\) | −3.22732 | − | 1.55420i | −0.155275 | − | 0.0747763i | ||||
\(433\) | 23.5348 | − | 11.3338i | 1.13101 | − | 0.544666i | 0.227734 | − | 0.973723i | \(-0.426868\pi\) |
0.903277 | + | 0.429057i | \(0.141154\pi\) | |||||||
\(434\) | 8.44188 | + | 10.5858i | 0.405223 | + | 0.508134i | ||||
\(435\) | 0.991211 | + | 4.34278i | 0.0475249 | + | 0.208220i | ||||
\(436\) | −11.7724 | −0.563798 | ||||||||
\(437\) | 24.8774 | 1.19005 | ||||||||
\(438\) | −2.79000 | − | 12.2238i | −0.133311 | − | 0.584075i | ||||
\(439\) | −17.5433 | + | 21.9986i | −0.837297 | + | 1.04994i | 0.160721 | + | 0.987000i | \(0.448618\pi\) |
−0.998018 | + | 0.0629367i | \(0.979953\pi\) | |||||||
\(440\) | 0.410447 | − | 1.79829i | 0.0195673 | − | 0.0857299i | ||||
\(441\) | −3.21451 | + | 4.03087i | −0.153072 | + | 0.191946i | ||||
\(442\) | 0.963811 | + | 0.464147i | 0.0458438 | + | 0.0220772i | ||||
\(443\) | −2.80800 | − | 12.3027i | −0.133412 | − | 0.584517i | −0.996797 | − | 0.0799710i | \(-0.974517\pi\) |
0.863385 | − | 0.504546i | \(-0.168340\pi\) | |||||||
\(444\) | 16.8941 | + | 8.13576i | 0.801758 | + | 0.386106i | ||||
\(445\) | −5.98035 | − | 7.49912i | −0.283496 | − | 0.355492i | ||||
\(446\) | −3.17269 | + | 13.9005i | −0.150231 | + | 0.658206i | ||||
\(447\) | 1.56878 | − | 6.87329i | 0.0742009 | − | 0.325095i | ||||
\(448\) | −1.54127 | + | 0.742235i | −0.0728180 | + | 0.0350673i | ||||
\(449\) | 17.8804 | + | 22.4213i | 0.843829 | + | 1.05813i | 0.997546 | + | 0.0700136i | \(0.0223043\pi\) |
−0.153717 | + | 0.988115i | \(0.549124\pi\) | |||||||
\(450\) | 0.789110 | − | 0.989513i | 0.0371990 | − | 0.0466461i | ||||
\(451\) | −15.5778 | + | 7.50189i | −0.733531 | + | 0.353250i | ||||
\(452\) | 0.461559 | − | 0.222275i | 0.0217099 | − | 0.0104549i | ||||
\(453\) | −13.4243 | + | 16.8335i | −0.630727 | + | 0.790906i | ||||
\(454\) | −3.60591 | − | 4.52166i | −0.169234 | − | 0.212212i | ||||
\(455\) | 0.471793 | − | 0.227203i | 0.0221180 | − | 0.0106515i | ||||
\(456\) | 3.32321 | − | 14.5599i | 0.155623 | − | 0.681831i | ||||
\(457\) | 4.88981 | − | 21.4237i | 0.228736 | − | 1.00216i | −0.721936 | − | 0.691959i | \(-0.756748\pi\) |
0.950672 | − | 0.310198i | \(-0.100395\pi\) | |||||||
\(458\) | −9.18127 | − | 11.5130i | −0.429013 | − | 0.537965i | ||||
\(459\) | 11.2785 | + | 5.43143i | 0.526435 | + | 0.253518i | ||||
\(460\) | 0.765564 | + | 3.35416i | 0.0356946 | + | 0.156388i | ||||
\(461\) | 11.7573 | + | 5.66201i | 0.547591 | + | 0.263706i | 0.687160 | − | 0.726507i | \(-0.258857\pi\) |
−0.139569 | + | 0.990212i | \(0.544572\pi\) | |||||||
\(462\) | −4.06327 | + | 5.09517i | −0.189040 | + | 0.237049i | ||||
\(463\) | 4.18799 | − | 18.3488i | 0.194632 | − | 0.852740i | −0.779435 | − | 0.626483i | \(-0.784494\pi\) |
0.974068 | − | 0.226257i | \(-0.0726490\pi\) | |||||||
\(464\) | −1.34472 | + | 1.68623i | −0.0624272 | + | 0.0782812i | ||||
\(465\) | −3.63752 | − | 15.9370i | −0.168686 | − | 0.739060i | ||||
\(466\) | 18.1570 | 0.841107 | ||||||||
\(467\) | −15.7819 | −0.730297 | −0.365149 | − | 0.930949i | \(-0.618982\pi\) | ||||
−0.365149 | + | 0.930949i | \(0.618982\pi\) | |||||||
\(468\) | −0.0862090 | − | 0.377706i | −0.00398501 | − | 0.0174595i | ||||
\(469\) | 4.31430 | + | 5.40996i | 0.199216 | + | 0.249809i | ||||
\(470\) | 3.31551 | − | 1.59666i | 0.152933 | − | 0.0736487i | ||||
\(471\) | 0.255906 | + | 0.123238i | 0.0117915 | + | 0.00567849i | ||||
\(472\) | −3.34461 | −0.153948 | ||||||||
\(473\) | −6.57918 | + | 10.1495i | −0.302511 | + | 0.466677i | ||||
\(474\) | 5.57950 | 0.256275 | ||||||||
\(475\) | −6.51485 | − | 3.13739i | −0.298922 | − | 0.143953i | ||||
\(476\) | 5.38625 | − | 2.59388i | 0.246878 | − | 0.118890i | ||||
\(477\) | −4.64966 | − | 5.83048i | −0.212893 | − | 0.266960i | ||||
\(478\) | 4.35622 | + | 19.0858i | 0.199249 | + | 0.872966i | ||||
\(479\) | 1.30235 | 0.0595058 | 0.0297529 | − | 0.999557i | \(-0.490528\pi\) | ||||
0.0297529 | + | 0.999557i | \(0.490528\pi\) | |||||||
\(480\) | 2.06534 | 0.0942695 | ||||||||
\(481\) | −0.618412 | − | 2.70944i | −0.0281971 | − | 0.123540i | ||||
\(482\) | 0.220086 | − | 0.275979i | 0.0100246 | − | 0.0125705i | ||||
\(483\) | 2.70484 | − | 11.8507i | 0.123074 | − | 0.539224i | ||||
\(484\) | −4.73709 | + | 5.94012i | −0.215322 | + | 0.270006i | ||||
\(485\) | −5.53839 | − | 2.66715i | −0.251485 | − | 0.121109i | ||||
\(486\) | −2.75380 | − | 12.0652i | −0.124915 | − | 0.547288i | ||||
\(487\) | 6.99329 | + | 3.36779i | 0.316896 | + | 0.152609i | 0.585570 | − | 0.810622i | \(-0.300871\pi\) |
−0.268673 | + | 0.963231i | \(0.586585\pi\) | |||||||
\(488\) | 0.292365 | + | 0.366614i | 0.0132347 | + | 0.0165958i | ||||
\(489\) | 7.39617 | − | 32.4047i | 0.334466 | − | 1.46539i | ||||
\(490\) | −0.906458 | + | 3.97145i | −0.0409496 | + | 0.179412i | ||||
\(491\) | 5.78773 | − | 2.78723i | 0.261197 | − | 0.125786i | −0.298703 | − | 0.954346i | \(-0.596554\pi\) |
0.559900 | + | 0.828560i | \(0.310840\pi\) | |||||||
\(492\) | −12.0707 | − | 15.1362i | −0.544189 | − | 0.682391i | ||||
\(493\) | 4.69939 | − | 5.89285i | 0.211650 | − | 0.265400i | ||||
\(494\) | −1.99424 | + | 0.960377i | −0.0897253 | + | 0.0432094i | ||||
\(495\) | 2.10331 | − | 1.01290i | 0.0945370 | − | 0.0455266i | ||||
\(496\) | 4.93482 | − | 6.18807i | 0.221580 | − | 0.277853i | ||||
\(497\) | −5.82619 | − | 7.30582i | −0.261341 | − | 0.327711i | ||||
\(498\) | 12.3802 | − | 5.96198i | 0.554769 | − | 0.267163i | ||||
\(499\) | −4.34990 | + | 19.0581i | −0.194728 | + | 0.853160i | 0.779285 | + | 0.626669i | \(0.215582\pi\) |
−0.974013 | + | 0.226490i | \(0.927275\pi\) | |||||||
\(500\) | 0.222521 | − | 0.974928i | 0.00995144 | − | 0.0436001i | ||||
\(501\) | −15.2143 | − | 19.0781i | −0.679725 | − | 0.852349i | ||||
\(502\) | −15.1549 | − | 7.29822i | −0.676396 | − | 0.325735i | ||||
\(503\) | 1.89333 | + | 8.29521i | 0.0844193 | + | 0.369865i | 0.999437 | − | 0.0335484i | \(-0.0106808\pi\) |
−0.915018 | + | 0.403413i | \(0.867824\pi\) | |||||||
\(504\) | −1.95068 | − | 0.939397i | −0.0868901 | − | 0.0418441i | ||||
\(505\) | 5.07098 | − | 6.35881i | 0.225656 | − | 0.282963i | ||||
\(506\) | −1.41211 | + | 6.18685i | −0.0627758 | + | 0.275039i | ||||
\(507\) | 16.6197 | − | 20.8404i | 0.738106 | − | 0.925556i | ||||
\(508\) | 1.26580 | + | 5.54582i | 0.0561607 | + | 0.246056i | ||||
\(509\) | −2.02165 | −0.0896083 | −0.0448041 | − | 0.998996i | \(-0.514266\pi\) | ||||
−0.0448041 | + | 0.998996i | \(0.514266\pi\) | |||||||
\(510\) | −7.21773 | −0.319606 | ||||||||
\(511\) | 2.31089 | + | 10.1247i | 0.102228 | + | 0.447890i | ||||
\(512\) | 0.623490 | + | 0.781831i | 0.0275546 | + | 0.0345524i | ||||
\(513\) | −23.3366 | + | 11.2383i | −1.03033 | + | 0.496183i | ||||
\(514\) | −6.62006 | − | 3.18805i | −0.291998 | − | 0.140619i | ||||
\(515\) | −4.38818 | −0.193366 | ||||||||
\(516\) | −12.7189 | − | 4.65322i | −0.559917 | − | 0.204847i | ||||
\(517\) | 6.78776 | 0.298525 | ||||||||
\(518\) | −13.9930 | − | 6.73867i | −0.614817 | − | 0.296080i | ||||
\(519\) | 41.6771 | − | 20.0707i | 1.82942 | − | 0.881004i | ||||
\(520\) | −0.190855 | − | 0.239324i | −0.00836953 | − | 0.0104951i | ||||
\(521\) | −1.29067 | − | 5.65480i | −0.0565453 | − | 0.247741i | 0.938754 | − | 0.344588i | \(-0.111981\pi\) |
−0.995299 | + | 0.0968468i | \(0.969124\pi\) | |||||||
\(522\) | −2.72968 | −0.119475 | ||||||||
\(523\) | 30.5074 | 1.33399 | 0.666997 | − | 0.745060i | \(-0.267579\pi\) | ||||
0.666997 | + | 0.745060i | \(0.267579\pi\) | |||||||
\(524\) | −2.56291 | − | 11.2289i | −0.111961 | − | 0.490535i | ||||
\(525\) | −2.20287 | + | 2.76231i | −0.0961411 | + | 0.120557i | ||||
\(526\) | −6.57767 | + | 28.8186i | −0.286800 | + | 1.25655i | ||||
\(527\) | −17.2457 | + | 21.6254i | −0.751233 | + | 0.942017i | ||||
\(528\) | 3.43232 | + | 1.65292i | 0.149373 | + | 0.0719340i | ||||
\(529\) | 2.48412 | + | 10.8837i | 0.108005 | + | 0.473202i | ||||
\(530\) | −5.30876 | − | 2.55656i | −0.230598 | − | 0.111050i | ||||
\(531\) | −2.63926 | − | 3.30953i | −0.114534 | − | 0.143622i | ||||
\(532\) | −2.75254 | + | 12.0597i | −0.119338 | + | 0.522853i | ||||
\(533\) | −0.638492 | + | 2.79742i | −0.0276561 | + | 0.121170i | ||||
\(534\) | 17.8484 | − | 8.59532i | 0.772375 | − | 0.371956i | ||||
\(535\) | −10.9931 | − | 13.7849i | −0.475274 | − | 0.595975i | ||||
\(536\) | 2.52198 | − | 3.16247i | 0.108933 | − | 0.136598i | ||||
\(537\) | −24.8502 | + | 11.9672i | −1.07236 | + | 0.516423i | ||||
\(538\) | 23.3218 | − | 11.2312i | 1.00547 | − | 0.484210i | ||||
\(539\) | −4.68482 | + | 5.87457i | −0.201789 | + | 0.253036i | ||||
\(540\) | −2.23338 | − | 2.80056i | −0.0961092 | − | 0.120517i | ||||
\(541\) | −23.2755 | + | 11.2089i | −1.00069 | + | 0.481909i | −0.861174 | − | 0.508311i | \(-0.830270\pi\) |
−0.139520 | + | 0.990219i | \(0.544556\pi\) | |||||||
\(542\) | −2.53470 | + | 11.1052i | −0.108875 | + | 0.477011i | ||||
\(543\) | −6.76800 | + | 29.6525i | −0.290442 | + | 1.27251i | ||||
\(544\) | −2.17890 | − | 2.73226i | −0.0934197 | − | 0.117145i | ||||
\(545\) | −10.6066 | − | 5.10787i | −0.454337 | − | 0.218797i | ||||
\(546\) | 0.240660 | + | 1.05440i | 0.0102993 | + | 0.0451242i | ||||
\(547\) | −25.2954 | − | 12.1816i | −1.08155 | − | 0.520849i | −0.193740 | − | 0.981053i | \(-0.562062\pi\) |
−0.887813 | + | 0.460204i | \(0.847776\pi\) | |||||||
\(548\) | −4.74832 | + | 5.95420i | −0.202838 | + | 0.254351i | ||||
\(549\) | −0.132061 | + | 0.578598i | −0.00563624 | + | 0.0246940i | ||||
\(550\) | 1.15005 | − | 1.44211i | 0.0490382 | − | 0.0614919i | ||||
\(551\) | 3.47032 | + | 15.2044i | 0.147840 | + | 0.647731i | ||||
\(552\) | −7.10563 | −0.302436 | ||||||||
\(553\) | −4.62138 | −0.196521 | ||||||||
\(554\) | 0.864930 | + | 3.78950i | 0.0367473 | + | 0.161001i | ||||
\(555\) | 11.6911 | + | 14.6601i | 0.496258 | + | 0.622288i | ||||
\(556\) | 0.919043 | − | 0.442588i | 0.0389761 | − | 0.0187699i | ||||
\(557\) | −34.2441 | − | 16.4911i | −1.45097 | − | 0.698749i | −0.468204 | − | 0.883620i | \(-0.655099\pi\) |
−0.982763 | + | 0.184871i | \(0.940813\pi\) | |||||||
\(558\) | 10.0173 | 0.424066 | ||||||||
\(559\) | 0.636132 | + | 1.90381i | 0.0269055 | + | 0.0805228i | ||||
\(560\) | −1.71068 | −0.0722893 | ||||||||
\(561\) | −11.9949 | − | 5.77644i | −0.506425 | − | 0.243881i | ||||
\(562\) | −0.869655 | + | 0.418804i | −0.0366842 | + | 0.0176662i | ||||
\(563\) | 15.6540 | + | 19.6295i | 0.659737 | + | 0.827284i | 0.993315 | − | 0.115439i | \(-0.0368274\pi\) |
−0.333578 | + | 0.942723i | \(0.608256\pi\) | |||||||
\(564\) | 1.69123 | + | 7.40977i | 0.0712137 | + | 0.312008i | ||||
\(565\) | 0.512292 | 0.0215523 | ||||||||
\(566\) | −4.29633 | −0.180588 | ||||||||
\(567\) | 4.26153 | + | 18.6710i | 0.178967 | + | 0.784108i | ||||
\(568\) | −3.40578 | + | 4.27072i | −0.142904 | + | 0.179195i | ||||
\(569\) | −5.44184 | + | 23.8423i | −0.228134 | + | 0.999520i | 0.723026 | + | 0.690821i | \(0.242751\pi\) |
−0.951160 | + | 0.308699i | \(0.900106\pi\) | |||||||
\(570\) | 9.31142 | − | 11.6762i | 0.390012 | − | 0.489060i | ||||
\(571\) | −25.0455 | − | 12.0613i | −1.04812 | − | 0.504748i | −0.171126 | − | 0.985249i | \(-0.554741\pi\) |
−0.876994 | + | 0.480501i | \(0.840455\pi\) | |||||||
\(572\) | −0.125641 | − | 0.550468i | −0.00525331 | − | 0.0230162i | ||||
\(573\) | 46.5854 | + | 22.4343i | 1.94613 | + | 0.937207i | ||||
\(574\) | 9.99788 | + | 12.5369i | 0.417303 | + | 0.523282i | ||||
\(575\) | −0.765564 | + | 3.35416i | −0.0319262 | + | 0.139878i | ||||
\(576\) | −0.281630 | + | 1.23390i | −0.0117346 | + | 0.0514126i | ||||
\(577\) | 32.8027 | − | 15.7969i | 1.36559 | − | 0.657635i | 0.399717 | − | 0.916638i | \(-0.369108\pi\) |
0.965877 | + | 0.259003i | \(0.0833940\pi\) | |||||||
\(578\) | −2.98474 | − | 3.74274i | −0.124149 | − | 0.155678i | ||||
\(579\) | 9.80436 | − | 12.2943i | 0.407455 | − | 0.510933i | ||||
\(580\) | −1.94318 | + | 0.935786i | −0.0806862 | + | 0.0388564i | ||||
\(581\) | −10.2542 | + | 4.93817i | −0.425417 | + | 0.204870i | ||||
\(582\) | 7.91581 | − | 9.92611i | 0.328121 | − | 0.411450i | ||||
\(583\) | −6.77640 | − | 8.49733i | −0.280650 | − | 0.351924i | ||||
\(584\) | 5.46955 | − | 2.63399i | 0.226331 | − | 0.108995i | ||||
\(585\) | 0.0862090 | − | 0.377706i | 0.00356430 | − | 0.0156162i | ||||
\(586\) | −5.51980 | + | 24.1838i | −0.228021 | + | 0.999024i | ||||
\(587\) | 20.5389 | + | 25.7549i | 0.847729 | + | 1.06302i | 0.997239 | + | 0.0742588i | \(0.0236591\pi\) |
−0.149510 | + | 0.988760i | \(0.547769\pi\) | |||||||
\(588\) | −7.58016 | − | 3.65041i | −0.312601 | − | 0.150541i | ||||
\(589\) | −12.7353 | − | 55.7968i | −0.524747 | − | 2.29907i | ||||
\(590\) | −3.01339 | − | 1.45117i | −0.124059 | − | 0.0597438i | ||||
\(591\) | 32.6703 | − | 40.9672i | 1.34387 | − | 1.68517i | ||||
\(592\) | −2.02024 | + | 8.85127i | −0.0830315 | + | 0.363785i | ||||
\(593\) | −13.0982 | + | 16.4246i | −0.537877 | + | 0.674476i | −0.974297 | − | 0.225267i | \(-0.927675\pi\) |
0.436420 | + | 0.899743i | \(0.356246\pi\) | |||||||
\(594\) | −1.47024 | − | 6.44156i | −0.0603249 | − | 0.264301i | ||||
\(595\) | 5.97828 | 0.245086 | ||||||||
\(596\) | 3.41350 | 0.139823 | ||||||||
\(597\) | −2.66980 | − | 11.6972i | −0.109268 | − | 0.478734i | ||||
\(598\) | 0.656619 | + | 0.823375i | 0.0268512 | + | 0.0336703i | ||||
\(599\) | −24.7263 | + | 11.9076i | −1.01029 | + | 0.486529i | −0.864418 | − | 0.502774i | \(-0.832313\pi\) |
−0.145871 | + | 0.989304i | \(0.546598\pi\) | |||||||
\(600\) | 1.86081 | + | 0.896118i | 0.0759672 | + | 0.0365839i | ||||
\(601\) | −21.6433 | −0.882848 | −0.441424 | − | 0.897299i | \(-0.645527\pi\) | ||||
−0.441424 | + | 0.897299i | \(0.645527\pi\) | |||||||
\(602\) | 10.5348 | + | 3.85416i | 0.429365 | + | 0.157084i | ||||
\(603\) | 5.11943 | 0.208479 | ||||||||
\(604\) | −9.39245 | − | 4.52316i | −0.382173 | − | 0.184045i | ||||
\(605\) | −6.84529 | + | 3.29652i | −0.278301 | + | 0.134023i | ||||
\(606\) | 10.4733 | + | 13.1331i | 0.425449 | + | 0.533497i | ||||
\(607\) | −7.49970 | − | 32.8583i | −0.304403 | − | 1.33368i | −0.863405 | − | 0.504511i | \(-0.831673\pi\) |
0.559002 | − | 0.829166i | \(-0.311184\pi\) | |||||||
\(608\) | 7.23094 | 0.293253 | ||||||||
\(609\) | 7.62014 | 0.308784 | ||||||||
\(610\) | 0.104344 | + | 0.457161i | 0.00422476 | + | 0.0185099i | ||||
\(611\) | 0.702333 | − | 0.880698i | 0.0284134 | − | 0.0356292i | ||||
\(612\) | 0.984210 | − | 4.31210i | 0.0397843 | − | 0.174306i | ||||
\(613\) | 7.67242 | − | 9.62092i | 0.309886 | − | 0.388585i | −0.602362 | − | 0.798223i | \(-0.705774\pi\) |
0.912248 | + | 0.409638i | \(0.134345\pi\) | |||||||
\(614\) | 20.9196 | + | 10.0743i | 0.844246 | + | 0.406568i | ||||
\(615\) | −4.30798 | − | 18.8745i | −0.173714 | − | 0.761093i | ||||
\(616\) | −2.84291 | − | 1.36908i | −0.114544 | − | 0.0551616i | ||||
\(617\) | −9.90047 | − | 12.4148i | −0.398578 | − | 0.499801i | 0.541528 | − | 0.840683i | \(-0.317846\pi\) |
−0.940106 | + | 0.340882i | \(0.889274\pi\) | |||||||
\(618\) | 2.01673 | − | 8.83586i | 0.0811247 | − | 0.355431i | ||||
\(619\) | 3.21211 | − | 14.0732i | 0.129106 | − | 0.565649i | −0.868450 | − | 0.495776i | \(-0.834884\pi\) |
0.997556 | − | 0.0698727i | \(-0.0222593\pi\) | |||||||
\(620\) | 7.13102 | − | 3.43412i | 0.286389 | − | 0.137918i | ||||
\(621\) | 7.68374 | + | 9.63510i | 0.308338 | + | 0.386643i | ||||
\(622\) | −9.42394 | + | 11.8173i | −0.377866 | + | 0.473829i | ||||
\(623\) | −14.7834 | + | 7.11931i | −0.592285 | + | 0.285229i | ||||
\(624\) | 0.569607 | − | 0.274308i | 0.0228025 | − | 0.0109811i | ||||
\(625\) | 0.623490 | − | 0.781831i | 0.0249396 | − | 0.0312733i | ||||
\(626\) | −7.80748 | − | 9.79027i | −0.312050 | − | 0.391298i | ||||
\(627\) | 24.8189 | − | 11.9522i | 0.991172 | − | 0.477323i | ||||
\(628\) | −0.0306020 | + | 0.134076i | −0.00122115 | + | 0.00535021i | ||||
\(629\) | 7.06013 | − | 30.9324i | 0.281506 | − | 1.23336i | ||||
\(630\) | −1.34991 | − | 1.69274i | −0.0537818 | − | 0.0674402i | ||||
\(631\) | 32.9584 | + | 15.8719i | 1.31205 | + | 0.631852i | 0.953425 | − | 0.301629i | \(-0.0975303\pi\) |
0.358628 | + | 0.933480i | \(0.383245\pi\) | |||||||
\(632\) | 0.601138 | + | 2.63376i | 0.0239120 | + | 0.104765i | ||||
\(633\) | −36.3154 | − | 17.4886i | −1.44341 | − | 0.695109i | ||||
\(634\) | −6.16908 | + | 7.73578i | −0.245005 | + | 0.307227i | ||||
\(635\) | −1.26580 | + | 5.54582i | −0.0502317 | + | 0.220079i | ||||
\(636\) | 7.58760 | − | 9.51455i | 0.300868 | − | 0.377276i | ||||
\(637\) | 0.277474 | + | 1.21569i | 0.0109939 | + | 0.0481674i | ||||
\(638\) | −3.97823 | −0.157500 | ||||||||
\(639\) | −6.91347 | −0.273493 | ||||||||
\(640\) | 0.222521 | + | 0.974928i | 0.00879591 | + | 0.0385374i | ||||
\(641\) | 18.3951 | + | 23.0668i | 0.726565 | + | 0.911083i | 0.998690 | − | 0.0511787i | \(-0.0162978\pi\) |
−0.272125 | + | 0.962262i | \(0.587726\pi\) | |||||||
\(642\) | 32.8090 | − | 15.8000i | 1.29487 | − | 0.623576i | ||||
\(643\) | 21.5896 | + | 10.3970i | 0.851411 | + | 0.410018i | 0.808101 | − | 0.589044i | \(-0.200495\pi\) |
0.0433102 | + | 0.999062i | \(0.486210\pi\) | |||||||
\(644\) | 5.88543 | 0.231919 | ||||||||
\(645\) | −9.44035 | − | 9.71092i | −0.371714 | − | 0.382367i | ||||
\(646\) | −25.2699 | −0.994231 | ||||||||
\(647\) | 9.73123 | + | 4.68631i | 0.382574 | + | 0.184238i | 0.615279 | − | 0.788309i | \(-0.289043\pi\) |
−0.232705 | + | 0.972547i | \(0.574758\pi\) | |||||||
\(648\) | 10.0864 | − | 4.85736i | 0.396232 | − | 0.190815i | ||||
\(649\) | −3.84646 | − | 4.82331i | −0.150987 | − | 0.189331i | ||||
\(650\) | −0.0681153 | − | 0.298433i | −0.00267170 | − | 0.0117055i | ||||
\(651\) | −27.9642 | −1.09600 | ||||||||
\(652\) | 16.0933 | 0.630261 | ||||||||
\(653\) | −0.130545 | − | 0.571954i | −0.00510861 | − | 0.0223823i | 0.972309 | − | 0.233697i | \(-0.0750825\pi\) |
−0.977418 | + | 0.211315i | \(0.932225\pi\) | |||||||
\(654\) | 15.1596 | − | 19.0095i | 0.592787 | − | 0.743332i | ||||
\(655\) | 2.56291 | − | 11.2289i | 0.100141 | − | 0.438748i | ||||
\(656\) | 5.84440 | − | 7.32865i | 0.228186 | − | 0.286136i | ||||
\(657\) | 6.92245 | + | 3.33367i | 0.270070 | + | 0.130059i | ||||
\(658\) | −1.40081 | − | 6.13735i | −0.0546092 | − | 0.239259i | ||||
\(659\) | 33.9173 | + | 16.3337i | 1.32123 | + | 0.636270i | 0.955649 | − | 0.294509i | \(-0.0951562\pi\) |
0.365581 | + | 0.930780i | \(0.380870\pi\) | |||||||
\(660\) | 2.37524 | + | 2.97846i | 0.0924561 | + | 0.115936i | ||||
\(661\) | 4.19083 | − | 18.3612i | 0.163004 | − | 0.714169i | −0.825678 | − | 0.564142i | \(-0.809207\pi\) |
0.988682 | − | 0.150027i | \(-0.0479359\pi\) | |||||||
\(662\) | −4.85177 | + | 21.2570i | −0.188570 | + | 0.826177i | ||||
\(663\) | −1.99060 | + | 0.958622i | −0.0773085 | + | 0.0372298i | ||||
\(664\) | 4.14815 | + | 5.20162i | 0.160979 | + | 0.201862i | ||||
\(665\) | −7.71244 | + | 9.67110i | −0.299076 | + | 0.375029i | ||||
\(666\) | −10.3526 | + | 4.98557i | −0.401157 | + | 0.193187i | ||||
\(667\) | 6.68535 | − | 3.21949i | 0.258858 | − | 0.124659i | ||||
\(668\) | 7.36649 | − | 9.23728i | 0.285018 | − | 0.357401i | ||||
\(669\) | −18.3602 | − | 23.0230i | −0.709847 | − | 0.890120i | ||||
\(670\) | 3.64437 | − | 1.75504i | 0.140794 | − | 0.0678030i | ||||
\(671\) | −0.192466 | + | 0.843247i | −0.00743006 | + | 0.0325532i | ||||
\(672\) | 0.786195 | − | 3.44455i | 0.0303281 | − | 0.132876i | ||||
\(673\) | 23.2501 | + | 29.1547i | 0.896227 | + | 1.12383i | 0.991722 | + | 0.128403i | \(0.0409850\pi\) |
−0.0954956 | + | 0.995430i | \(0.530444\pi\) | |||||||
\(674\) | −19.0698 | − | 9.18355i | −0.734543 | − | 0.353737i | ||||
\(675\) | −0.797083 | − | 3.49225i | −0.0306797 | − | 0.134417i | ||||
\(676\) | 11.6282 | + | 5.59983i | 0.447237 | + | 0.215378i | ||||
\(677\) | 6.76780 | − | 8.48655i | 0.260108 | − | 0.326165i | −0.634580 | − | 0.772857i | \(-0.718827\pi\) |
0.894688 | + | 0.446693i | \(0.147398\pi\) | |||||||
\(678\) | −0.235440 | + | 1.03153i | −0.00904202 | + | 0.0396157i | ||||
\(679\) | −6.55649 | + | 8.22157i | −0.251615 | + | 0.315515i | ||||
\(680\) | −0.777642 | − | 3.40707i | −0.0298212 | − | 0.130655i | ||||
\(681\) | 11.9447 | 0.457724 | ||||||||
\(682\) | 14.5992 | 0.559031 | ||||||||
\(683\) | 8.04942 | + | 35.2668i | 0.308002 | + | 1.34945i | 0.857729 | + | 0.514102i | \(0.171875\pi\) |
−0.549727 | + | 0.835344i | \(0.685268\pi\) | |||||||
\(684\) | 5.70601 | + | 7.15511i | 0.218175 | + | 0.273582i | ||||
\(685\) | −6.86152 | + | 3.30433i | −0.262165 | + | 0.126252i | ||||
\(686\) | 17.0673 | + | 8.21920i | 0.651634 | + | 0.313810i | ||||
\(687\) | 30.4134 | 1.16034 | ||||||||
\(688\) | 0.826178 | − | 6.50518i | 0.0314977 | − | 0.248008i | ||||
\(689\) | −1.80367 | −0.0687143 | ||||||||
\(690\) | −6.40195 | − | 3.08302i | −0.243718 | − | 0.117368i | ||||
\(691\) | 0.897394 | − | 0.432162i | 0.0341385 | − | 0.0164402i | −0.416737 | − | 0.909027i | \(-0.636826\pi\) |
0.450875 | + | 0.892587i | \(0.351112\pi\) | |||||||
\(692\) | 13.9645 | + | 17.5109i | 0.530851 | + | 0.665666i | ||||
\(693\) | −0.888655 | − | 3.89345i | −0.0337572 | − | 0.147900i | ||||
\(694\) | 34.6066 | 1.31365 | ||||||||
\(695\) | 1.02006 | 0.0386931 | ||||||||
\(696\) | −0.991211 | − | 4.34278i | −0.0375717 | − | 0.164613i | ||||
\(697\) | −20.4244 | + | 25.6114i | −0.773628 | + | 0.970099i | ||||
\(698\) | −4.07118 | + | 17.8370i | −0.154096 | + | 0.675141i | ||||
\(699\) | −23.3811 | + | 29.3190i | −0.884355 | + | 1.10895i | ||||
\(700\) | −1.54127 | − | 0.742235i | −0.0582544 | − | 0.0280538i | ||||
\(701\) | −9.66995 | − | 42.3668i | −0.365229 | − | 1.60017i | −0.739702 | − | 0.672935i | \(-0.765033\pi\) |
0.374473 | − | 0.927238i | \(-0.377824\pi\) | |||||||
\(702\) | −0.987907 | − | 0.475751i | −0.0372861 | − | 0.0179561i | ||||
\(703\) | 40.9315 | + | 51.3264i | 1.54376 | + | 1.93581i | ||||
\(704\) | −0.410447 | + | 1.79829i | −0.0154693 | + | 0.0677755i | ||||
\(705\) | −1.69123 | + | 7.40977i | −0.0636955 | + | 0.279068i | ||||
\(706\) | 10.6136 | − | 5.11123i | 0.399447 | − | 0.192364i | ||||
\(707\) | −8.67481 | − | 10.8779i | −0.326250 | − | 0.409104i | ||||
\(708\) | 4.30692 | − | 5.40070i | 0.161864 | − | 0.202971i | ||||
\(709\) | 35.4137 | − | 17.0543i | 1.32999 | − | 0.640489i | 0.372251 | − | 0.928132i | \(-0.378586\pi\) |
0.957738 | + | 0.287644i | \(0.0928719\pi\) | |||||||
\(710\) | −4.92150 | + | 2.37007i | −0.184701 | + | 0.0889471i | ||||
\(711\) | −2.13177 | + | 2.67316i | −0.0799478 | + | 0.100251i | ||||
\(712\) | 5.98035 | + | 7.49912i | 0.224123 | + | 0.281041i | ||||
\(713\) | −24.5337 | + | 11.8148i | −0.918793 | + | 0.442468i | ||||
\(714\) | −2.74751 | + | 12.0376i | −0.102823 | + | 0.450497i | ||||
\(715\) | 0.125641 | − | 0.550468i | 0.00469870 | − | 0.0205863i | ||||
\(716\) | −8.32640 | − | 10.4410i | −0.311172 | − | 0.390197i | ||||
\(717\) | −36.4284 | − | 17.5430i | −1.36044 | − | 0.655155i | ||||
\(718\) | −7.11824 | − | 31.1870i | −0.265650 | − | 1.16389i | ||||
\(719\) | 16.4173 | + | 7.90615i | 0.612262 | + | 0.294850i | 0.714201 | − | 0.699941i | \(-0.246790\pi\) |
−0.101939 | + | 0.994791i | \(0.532505\pi\) | |||||||
\(720\) | −0.789110 | + | 0.989513i | −0.0294084 | + | 0.0368770i | ||||
\(721\) | −1.67041 | + | 7.31855i | −0.0622094 | + | 0.272557i | ||||
\(722\) | 20.7538 | − | 26.0244i | 0.772376 | − | 0.968529i | ||||
\(723\) | 0.162228 | + | 0.710766i | 0.00603331 | + | 0.0264337i | ||||
\(724\) | −14.7264 | −0.547303 | ||||||||
\(725\) | −2.15677 | −0.0801003 | ||||||||
\(726\) | −3.49176 | − | 15.2984i | −0.129592 | − | 0.567778i | ||||
\(727\) | 22.5394 | + | 28.2635i | 0.835940 | + | 1.04824i | 0.998109 | + | 0.0614726i | \(0.0195797\pi\) |
−0.162169 | + | 0.986763i | \(0.551849\pi\) | |||||||
\(728\) | −0.471793 | + | 0.227203i | −0.0174858 | + | 0.00842072i | ||||
\(729\) | −7.23085 | − | 3.48220i | −0.267809 | − | 0.128970i | ||||
\(730\) | 6.07074 | 0.224688 | ||||||||
\(731\) | −2.88723 | + | 22.7336i | −0.106788 | + | 0.840833i | ||||
\(732\) | −0.968474 | −0.0357958 | ||||||||
\(733\) | −16.1054 | − | 7.75594i | −0.594866 | − | 0.286472i | 0.112126 | − | 0.993694i | \(-0.464234\pi\) |
−0.706992 | + | 0.707222i | \(0.749948\pi\) | |||||||
\(734\) | 13.2312 | − | 6.37183i | 0.488374 | − | 0.235188i | ||||
\(735\) | −5.24564 | − | 6.57782i | −0.193488 | − | 0.242627i | ||||
\(736\) | −0.765564 | − | 3.35416i | −0.0282191 | − | 0.123636i | ||||
\(737\) | 7.46104 | 0.274831 | ||||||||
\(738\) | 11.8637 | 0.436708 | ||||||||
\(739\) | −9.96454 | − | 43.6575i | −0.366552 | − | 1.60597i | −0.736179 | − | 0.676787i | \(-0.763372\pi\) |
0.369627 | − | 0.929180i | \(-0.379485\pi\) | |||||||
\(740\) | −5.66060 | + | 7.09817i | −0.208088 | + | 0.260934i | ||||
\(741\) | 1.01726 | − | 4.45690i | 0.0373699 | − | 0.163728i | ||||
\(742\) | −6.28464 | + | 7.88069i | −0.230716 | + | 0.289309i | ||||
\(743\) | −23.3087 | − | 11.2249i | −0.855113 | − | 0.411801i | −0.0456401 | − | 0.998958i | \(-0.514533\pi\) |
−0.809473 | + | 0.587157i | \(0.800247\pi\) | |||||||
\(744\) | 3.63752 | + | 15.9370i | 0.133358 | + | 0.584279i | ||||
\(745\) | 3.07546 | + | 1.48106i | 0.112676 | + | 0.0542620i | ||||
\(746\) | −5.61252 | − | 7.03788i | −0.205489 | − | 0.257675i | ||||
\(747\) | −1.87372 | + | 8.20929i | −0.0685557 | + | 0.300362i | ||||
\(748\) | 1.43438 | − | 6.28445i | 0.0524463 | − | 0.229782i | ||||
\(749\) | −27.1750 | + | 13.0868i | −0.992952 | + | 0.478181i | ||||
\(750\) | 1.28772 | + | 1.61475i | 0.0470209 | + | 0.0589623i | ||||
\(751\) | −17.2684 | + | 21.6539i | −0.630132 | + | 0.790160i | −0.989730 | − | 0.142947i | \(-0.954342\pi\) |
0.359599 | + | 0.933107i | \(0.382914\pi\) | |||||||
\(752\) | −3.31551 | + | 1.59666i | −0.120904 | + | 0.0582244i | ||||
\(753\) | 31.3000 | − | 15.0733i | 1.14064 | − | 0.549302i | ||||
\(754\) | −0.411629 | + | 0.516167i | −0.0149907 | + | 0.0187977i | ||||
\(755\) | −6.49978 | − | 8.15046i | −0.236551 | − | 0.296626i | ||||
\(756\) | −5.52090 | + | 2.65873i | −0.200793 | + | 0.0966969i | ||||
\(757\) | −8.08139 | + | 35.4069i | −0.293723 | + | 1.28689i | 0.585577 | + | 0.810617i | \(0.300868\pi\) |
−0.879300 | + | 0.476268i | \(0.841989\pi\) | |||||||
\(758\) | 5.62138 | − | 24.6289i | 0.204178 | − | 0.894561i | ||||
\(759\) | −8.17181 | − | 10.2471i | −0.296618 | − | 0.371947i | ||||
\(760\) | 6.51485 | + | 3.13739i | 0.236319 | + | 0.113805i | ||||
\(761\) | −2.88198 | − | 12.6268i | −0.104472 | − | 0.457721i | −0.999921 | − | 0.0125573i | \(-0.996003\pi\) |
0.895449 | − | 0.445163i | \(-0.146854\pi\) | |||||||
\(762\) | −10.5851 | − | 5.09752i | −0.383458 | − | 0.184664i | ||||
\(763\) | −12.5564 | + | 15.7452i | −0.454571 | + | 0.570014i | ||||
\(764\) | −5.57082 | + | 24.4073i | −0.201545 | + | 0.883026i | ||||
\(765\) | 2.75769 | − | 3.45804i | 0.0997047 | − | 0.125026i | ||||
\(766\) | −3.39376 | − | 14.8690i | −0.122622 | − | 0.537241i | ||||
\(767\) | −1.02381 | −0.0369676 | ||||||||
\(768\) | −2.06534 | −0.0745266 | ||||||||
\(769\) | 5.39041 | + | 23.6169i | 0.194383 | + | 0.851648i | 0.974208 | + | 0.225651i | \(0.0724509\pi\) |
−0.779825 | + | 0.625998i | \(0.784692\pi\) | |||||||
\(770\) | −1.96736 | − | 2.46699i | −0.0708987 | − | 0.0889041i | ||||
\(771\) | 13.6727 | − | 6.58442i | 0.492410 | − | 0.237132i | ||||
\(772\) | 6.85975 | + | 3.30348i | 0.246888 | + | 0.118895i | ||||
\(773\) | 26.0770 | 0.937926 | 0.468963 | − | 0.883218i | \(-0.344628\pi\) | ||||
0.468963 | + | 0.883218i | \(0.344628\pi\) | |||||||
\(774\) | 7.08891 | − | 4.31579i | 0.254806 | − | 0.155128i | ||||
\(775\) | 7.91484 | 0.284309 | ||||||||
\(776\) | 5.53839 | + | 2.66715i | 0.198817 | + | 0.0957451i | ||||
\(777\) | 28.9003 | − | 13.9177i | 1.03679 | − | 0.499293i | ||||
\(778\) | −2.72593 | − | 3.41821i | −0.0977295 | − | 0.122549i | ||||
\(779\) | −15.0826 | − | 66.0812i | −0.540391 | − | 2.36761i | ||||
\(780\) | 0.632216 | 0.0226370 | ||||||||
\(781\) | −10.0757 | −0.360536 | ||||||||
\(782\) | 2.67541 | + | 11.7217i | 0.0956724 | + | 0.419168i | ||||
\(783\) | −4.81687 | + | 6.04017i | −0.172141 | + | 0.215858i | ||||
\(784\) | 0.906458 | − | 3.97145i | 0.0323735 | − | 0.141838i | ||||
\(785\) | −0.0857448 | + | 0.107521i | −0.00306036 | + | 0.00383757i | ||||
\(786\) | 21.4321 | + | 10.3212i | 0.764458 | + | 0.368143i | ||||
\(787\) | −0.229815 | − | 1.00688i | −0.00819202 | − | 0.0358916i | 0.970667 | − | 0.240429i | \(-0.0772881\pi\) |
−0.978859 | + | 0.204537i | \(0.934431\pi\) | |||||||
\(788\) | 22.8582 | + | 11.0079i | 0.814288 | + | 0.392141i | ||||
\(789\) | −38.0647 | − | 47.7316i | −1.35514 | − | 1.69929i | ||||
\(790\) | −0.601138 | + | 2.63376i | −0.0213875 | + | 0.0937049i | ||||
\(791\) | 0.195010 | − | 0.854393i | 0.00693375 | − | 0.0303787i | ||||
\(792\) | −2.10331 | + | 1.01290i | −0.0747380 | + | 0.0359919i | ||||
\(793\) | 0.0894951 | + | 0.112223i | 0.00317806 | + | 0.00398517i | ||||
\(794\) | −21.3867 | + | 26.8181i | −0.758985 | + | 0.951738i | ||||
\(795\) | 10.9644 | − | 5.28018i | 0.388867 | − | 0.187269i | ||||
\(796\) | 5.23391 | − | 2.52052i | 0.185511 | − | 0.0893374i | ||||
\(797\) | 10.2940 | − | 12.9083i | 0.364633 | − | 0.457236i | −0.565343 | − | 0.824856i | \(-0.691256\pi\) |
0.929976 | + | 0.367621i | \(0.119827\pi\) | |||||||
\(798\) | −15.9288 | − | 19.9741i | −0.563874 | − | 0.707076i | ||||
\(799\) | 11.5867 | − | 5.57985i | 0.409907 | − | 0.197401i | ||||
\(800\) | −0.222521 | + | 0.974928i | −0.00786730 | + | 0.0344689i | ||||
\(801\) | −2.70132 | + | 11.8353i | −0.0954465 | + | 0.418178i | ||||
\(802\) | −2.28906 | − | 2.87039i | −0.0808295 | − | 0.101357i | ||||
\(803\) | 10.0888 | + | 4.85849i | 0.356024 | + | 0.171452i | ||||
\(804\) | 1.85898 | + | 8.14474i | 0.0655613 | + | 0.287243i | ||||
\(805\) | 5.30259 | + | 2.55359i | 0.186892 | + | 0.0900024i | ||||
\(806\) | 1.51058 | − | 1.89421i | 0.0532081 | − | 0.0667208i | ||||
\(807\) | −11.8964 | + | 52.1214i | −0.418772 | + | 1.83476i | ||||
\(808\) | −5.07098 | + | 6.35881i | −0.178397 | + | 0.223702i | ||||
\(809\) | −5.79591 | − | 25.3936i | −0.203773 | − | 0.892790i | −0.968614 | − | 0.248570i | \(-0.920039\pi\) |
0.764840 | − | 0.644220i | \(-0.222818\pi\) | |||||||
\(810\) | 11.1951 | 0.393355 | ||||||||
\(811\) | 1.56879 | 0.0550876 | 0.0275438 | − | 0.999621i | \(-0.491231\pi\) | ||||
0.0275438 | + | 0.999621i | \(0.491231\pi\) | |||||||
\(812\) | 0.820998 | + | 3.59703i | 0.0288114 | + | 0.126231i | ||||
\(813\) | −14.6682 | − | 18.3933i | −0.514436 | − | 0.645083i | ||||
\(814\) | −15.0879 | + | 7.26595i | −0.528831 | + | 0.254672i | ||||
\(815\) | 14.4995 | + | 6.98260i | 0.507896 | + | 0.244590i | ||||
\(816\) | 7.21773 | 0.252671 | ||||||||
\(817\) | −33.0515 | − | 33.9988i | −1.15633 | − | 1.18947i | ||||
\(818\) | −28.4245 | −0.993838 | ||||||||
\(819\) | −0.597117 | − | 0.287556i | −0.0208650 | − | 0.0100480i | ||||
\(820\) | 8.44541 | − | 4.06709i | 0.294926 | − | 0.142029i | ||||
\(821\) | 25.3442 | + | 31.7807i | 0.884520 | + | 1.10915i | 0.993355 | + | 0.115093i | \(0.0367165\pi\) |
−0.108835 | + | 0.994060i | \(0.534712\pi\) | |||||||
\(822\) | −3.50004 | − | 15.3347i | −0.122078 | − | 0.534858i | ||||
\(823\) | −0.716256 | −0.0249671 | −0.0124836 | − | 0.999922i | \(-0.503974\pi\) | ||||
−0.0124836 | + | 0.999922i | \(0.503974\pi\) | |||||||
\(824\) | 4.38818 | 0.152870 | ||||||||
\(825\) | 0.847713 | + | 3.71407i | 0.0295136 | + | 0.129307i | ||||
\(826\) | −3.56732 | + | 4.47328i | −0.124123 | + | 0.155645i | ||||
\(827\) | −5.57844 | + | 24.4407i | −0.193981 | + | 0.849888i | 0.780453 | + | 0.625215i | \(0.214989\pi\) |
−0.974434 | + | 0.224673i | \(0.927869\pi\) | |||||||
\(828\) | 2.71487 | − | 3.40433i | 0.0943481 | − | 0.118309i | ||||
\(829\) | −9.67518 | − | 4.65932i | −0.336033 | − | 0.161825i | 0.258256 | − | 0.966077i | \(-0.416852\pi\) |
−0.594289 | + | 0.804252i | \(0.702566\pi\) | |||||||
\(830\) | 1.48046 | + | 6.48631i | 0.0513874 | + | 0.225143i | ||||
\(831\) | −7.23288 | − | 3.48317i | −0.250906 | − | 0.120830i | ||||
\(832\) | 0.190855 | + | 0.239324i | 0.00661670 | + | 0.00829708i | ||||
\(833\) | −3.16779 | + | 13.8790i | −0.109757 | + | 0.480879i | ||||
\(834\) | −0.468801 | + | 2.05395i | −0.0162333 | + | 0.0711226i | ||||
\(835\) | 10.6449 | − | 5.12631i | 0.368381 | − | 0.177403i | ||||
\(836\) | 8.31592 | + | 10.4278i | 0.287612 | + | 0.360654i | ||||
\(837\) | 17.6768 | − | 22.1660i | 0.611000 | − | 0.766170i | ||||
\(838\) | 9.86694 | − | 4.75167i | 0.340848 | − | 0.164144i | ||||
\(839\) | −33.3783 | + | 16.0742i | −1.15235 | + | 0.554942i | −0.909738 | − | 0.415182i | \(-0.863718\pi\) |
−0.242610 | + | 0.970124i | \(0.578004\pi\) | |||||||
\(840\) | 2.20287 | − | 2.76231i | 0.0760062 | − | 0.0953088i | ||||
\(841\) | −15.1809 | − | 19.0363i | −0.523481 | − | 0.656424i | ||||
\(842\) | −27.4095 | + | 13.1997i | −0.944594 | + | 0.454892i | ||||
\(843\) | 0.443608 | − | 1.94358i | 0.0152787 | − | 0.0669403i | ||||
\(844\) | 4.34271 | − | 19.0266i | 0.149482 | − | 0.654924i | ||||
\(845\) | 8.04695 | + | 10.0906i | 0.276823 | + | 0.347125i | ||||
\(846\) | −4.19622 | − | 2.02079i | −0.144269 | − | 0.0694763i | ||||
\(847\) | 2.89215 | + | 12.6713i | 0.0993755 | + | 0.435392i | ||||
\(848\) | 5.30876 | + | 2.55656i | 0.182304 | + | 0.0877928i | ||||
\(849\) | 5.53246 | − | 6.93749i | 0.189874 | − | 0.238094i | ||||
\(850\) | 0.777642 | − | 3.40707i | 0.0266729 | − | 0.116862i | ||||
\(851\) | 19.4748 | − | 24.4206i | 0.667588 | − | 0.837129i | ||||
\(852\) | −2.51044 | − | 10.9990i | −0.0860064 | − | 0.376819i | ||||
\(853\) | 4.33627 | 0.148471 | 0.0742355 | − | 0.997241i | \(-0.476348\pi\) | ||||
0.0742355 | + | 0.997241i | \(0.476348\pi\) | |||||||
\(854\) | 0.802166 | 0.0274495 | ||||||||
\(855\) | 2.03645 | + | 8.92227i | 0.0696451 | + | 0.305135i | ||||
\(856\) | 10.9931 | + | 13.7849i | 0.375737 | + | 0.471160i | ||||
\(857\) | 10.2637 | − | 4.94274i | 0.350601 | − | 0.168841i | −0.250291 | − | 0.968171i | \(-0.580526\pi\) |
0.600892 | + | 0.799330i | \(0.294812\pi\) | |||||||
\(858\) | 1.05066 | + | 0.505970i | 0.0358689 | + | 0.0172735i | ||||
\(859\) | −17.8784 | −0.610001 | −0.305001 | − | 0.952352i | \(-0.598657\pi\) | ||||
−0.305001 | + | 0.952352i | \(0.598657\pi\) | |||||||
\(860\) | 3.56685 | − | 5.50250i | 0.121629 | − | 0.187634i | ||||
\(861\) | −33.1185 | −1.12867 | ||||||||
\(862\) | −33.8990 | − | 16.3249i | −1.15461 | − | 0.556029i | ||||
\(863\) | −14.9332 | + | 7.19147i | −0.508333 | + | 0.244800i | −0.670428 | − | 0.741975i | \(-0.733889\pi\) |
0.162094 | + | 0.986775i | \(0.448175\pi\) | |||||||
\(864\) | 2.23338 | + | 2.80056i | 0.0759810 | + | 0.0952772i | ||||
\(865\) | 4.98388 | + | 21.8358i | 0.169457 | + | 0.742439i | ||||
\(866\) | −26.1217 | −0.887651 | ||||||||
\(867\) | 9.88709 | 0.335783 | ||||||||
\(868\) | −3.01287 | − | 13.2003i | −0.102264 | − | 0.448046i | ||||
\(869\) | −3.10684 | + | 3.89586i | −0.105392 | + | 0.132158i | ||||
\(870\) | 0.991211 | − | 4.34278i | 0.0336052 | − | 0.147234i | ||||
\(871\) | 0.771998 | − | 0.968054i | 0.0261581 | − | 0.0328013i | ||||
\(872\) | 10.6066 | + | 5.10787i | 0.359185 | + | 0.172974i | ||||
\(873\) | 1.73122 | + | 7.58498i | 0.0585930 | + | 0.256713i | ||||
\(874\) | −22.4138 | − | 10.7939i | −0.758158 | − | 0.365110i | ||||
\(875\) | −1.06659 | − | 1.33746i | −0.0360573 | − | 0.0452144i | ||||
\(876\) | −2.79000 | + | 12.2238i | −0.0942654 | + | 0.413004i | ||||
\(877\) | −2.12128 | + | 9.29394i | −0.0716306 | + | 0.313834i | −0.998032 | − | 0.0627027i | \(-0.980028\pi\) |
0.926402 | + | 0.376537i | \(0.122885\pi\) | |||||||
\(878\) | 25.3508 | − | 12.2083i | 0.855549 | − | 0.412011i | ||||
\(879\) | −31.9428 | − | 40.0550i | −1.07740 | − | 1.35102i | ||||
\(880\) | −1.15005 | + | 1.44211i | −0.0387681 | + | 0.0486136i | ||||
\(881\) | 10.6953 | − | 5.15059i | 0.360334 | − | 0.173528i | −0.244953 | − | 0.969535i | \(-0.578773\pi\) |
0.605287 | + | 0.796007i | \(0.293058\pi\) | |||||||
\(882\) | 4.64510 | − | 2.23696i | 0.156409 | − | 0.0753224i | ||||
\(883\) | 32.3579 | − | 40.5755i | 1.08893 | − | 1.36548i | 0.163507 | − | 0.986542i | \(-0.447719\pi\) |
0.925424 | − | 0.378934i | \(-0.123709\pi\) | |||||||
\(884\) | −0.666978 | − | 0.836364i | −0.0224329 | − | 0.0281300i | ||||
\(885\) | 6.22368 | − | 2.99716i | 0.209207 | − | 0.100749i | ||||
\(886\) | −2.80800 | + | 12.3027i | −0.0943366 | + | 0.413316i | ||||
\(887\) | −5.86183 | + | 25.6824i | −0.196821 | + | 0.862329i | 0.775993 | + | 0.630741i | \(0.217249\pi\) |
−0.972814 | + | 0.231588i | \(0.925608\pi\) | |||||||
\(888\) | −11.6911 | − | 14.6601i | −0.392327 | − | 0.491962i | ||||
\(889\) | 8.76741 | + | 4.22216i | 0.294049 | + | 0.141607i | ||||
\(890\) | 2.13436 | + | 9.35125i | 0.0715439 | + | 0.313455i | ||||
\(891\) | 18.6047 | + | 8.95956i | 0.623281 | + | 0.300156i | ||||
\(892\) | 8.88968 | − | 11.1473i | 0.297649 | − | 0.373239i | ||||
\(893\) | −5.92115 | + | 25.9423i | −0.198144 | + | 0.868124i | ||||
\(894\) | −4.39563 | + | 5.51195i | −0.147012 | + | 0.184347i | ||||
\(895\) | −2.97166 | − | 13.0197i | −0.0993315 | − | 0.435200i | ||||
\(896\) | 1.71068 | 0.0571497 | ||||||||
\(897\) | −2.17508 | −0.0726240 | ||||||||
\(898\) | −6.38145 | − | 27.9590i | −0.212952 | − | 0.933002i | ||||
\(899\) | −10.6433 | − | 13.3462i | −0.354973 | − | 0.445122i | ||||
\(900\) | −1.14030 | + | 0.549138i | −0.0380099 | + | 0.0183046i | ||||
\(901\) | −18.5525 | − | 8.93440i | −0.618072 | − | 0.297648i | ||||
\(902\) | 17.2901 | 0.575697 | ||||||||
\(903\) | −19.7893 | + | 12.0479i | −0.658547 | + | 0.400930i | ||||
\(904\) | −0.512292 | −0.0170386 | ||||||||
\(905\) | −13.2681 | − | 6.38956i | −0.441045 | − | 0.212396i | ||||
\(906\) | 19.3986 | − | 9.34188i | 0.644476 | − | 0.310363i | ||||
\(907\) | −9.69386 | − | 12.1557i | −0.321879 | − | 0.403624i | 0.594396 | − | 0.804172i | \(-0.297391\pi\) |
−0.916276 | + | 0.400548i | \(0.868820\pi\) | |||||||
\(908\) | 1.28693 | + | 5.63842i | 0.0427084 | + | 0.187118i | ||||
\(909\) | −10.2937 | −0.341420 | ||||||||
\(910\) | −0.523650 | −0.0173588 | ||||||||
\(911\) | 1.88270 | + | 8.24865i | 0.0623767 | + | 0.273290i | 0.996493 | − | 0.0836794i | \(-0.0266672\pi\) |
−0.934116 | + | 0.356969i | \(0.883810\pi\) | |||||||
\(912\) | −9.31142 | + | 11.6762i | −0.308332 | + | 0.386636i | ||||
\(913\) | −2.73075 | + | 11.9642i | −0.0903747 | + | 0.395957i | ||||
\(914\) | −13.7010 | + | 17.1804i | −0.453187 | + | 0.568279i | ||||
\(915\) | −0.872565 | − | 0.420205i | −0.0288461 | − | 0.0138916i | ||||
\(916\) | 3.27676 | + | 14.3564i | 0.108267 | + | 0.474349i | ||||
\(917\) | −17.7517 | − | 8.54878i | −0.586214 | − | 0.282306i | ||||
\(918\) | −7.80496 | − | 9.78710i | −0.257602 | − | 0.323023i | ||||
\(919\) | −7.14058 | + | 31.2849i | −0.235546 | + | 1.03199i | 0.709410 | + | 0.704796i | \(0.248962\pi\) |
−0.944956 | + | 0.327198i | \(0.893896\pi\) | |||||||
\(920\) | 0.765564 | − | 3.35416i | 0.0252399 | − | 0.110583i | ||||
\(921\) | −43.2061 | + | 20.8070i | −1.42369 | + | 0.685613i | ||||
\(922\) | −8.13629 | − | 10.2026i | −0.267954 | − | 0.336004i | ||||
\(923\) | −1.04254 | + | 1.30730i | −0.0343155 | + | 0.0430302i | ||||
\(924\) | 5.87159 | − | 2.82761i | 0.193161 | − | 0.0930215i | ||||
\(925\) | −8.17980 | + | 3.93919i | −0.268950 | + | 0.129520i | ||||
\(926\) | −11.7345 | + | 14.7146i | −0.385619 | + | 0.483551i | ||||
\(927\) | 3.46276 | + | 4.34216i | 0.113732 | + | 0.142615i | ||||
\(928\) | 1.94318 | − | 0.935786i | 0.0637880 | − | 0.0307187i | ||||
\(929\) | −8.56445 | + | 37.5233i | −0.280990 | + | 1.23110i | 0.615536 | + | 0.788109i | \(0.288940\pi\) |
−0.896526 | + | 0.442990i | \(0.853918\pi\) | |||||||
\(930\) | −3.63752 | + | 15.9370i | −0.119279 | + | 0.522595i | ||||
\(931\) | −18.3654 | − | 23.0295i | −0.601903 | − | 0.754762i | ||||
\(932\) | −16.3589 | − | 7.87803i | −0.535853 | − | 0.258053i | ||||
\(933\) | −6.94650 | − | 30.4346i | −0.227418 | − | 0.996384i | ||||
\(934\) | 14.2190 | + | 6.84749i | 0.465258 | + | 0.224057i | ||||
\(935\) | 4.01906 | − | 5.03974i | 0.131437 | − | 0.164817i | ||||
\(936\) | −0.0862090 | + | 0.377706i | −0.00281783 | + | 0.0123457i | ||||
\(937\) | −21.4656 | + | 26.9170i | −0.701251 | + | 0.879341i | −0.997116 | − | 0.0758887i | \(-0.975821\pi\) |
0.295865 | + | 0.955230i | \(0.404392\pi\) | |||||||
\(938\) | −1.53976 | − | 6.74611i | −0.0502748 | − | 0.220268i | ||||
\(939\) | 25.8627 | 0.843996 | ||||||||
\(940\) | −3.67994 | −0.120026 | ||||||||
\(941\) | 11.1046 | + | 48.6526i | 0.362001 | + | 1.58603i | 0.748110 | + | 0.663575i | \(0.230962\pi\) |
−0.386109 | + | 0.922453i | \(0.626181\pi\) | |||||||
\(942\) | −0.177092 | − | 0.222067i | −0.00576998 | − | 0.00723532i | ||||
\(943\) | −29.0557 | + | 13.9925i | −0.946184 | + | 0.455658i | ||||
\(944\) | 3.01339 | + | 1.45117i | 0.0980775 | + | 0.0472316i | ||||
\(945\) | −6.12774 | −0.199335 | ||||||||
\(946\) | 10.3314 | − | 6.28983i | 0.335901 | − | 0.204500i | ||||
\(947\) | 33.4768 | 1.08785 | 0.543925 | − | 0.839134i | \(-0.316938\pi\) | ||||
0.543925 | + | 0.839134i | \(0.316938\pi\) | |||||||
\(948\) | −5.02696 | − | 2.42085i | −0.163268 | − | 0.0786257i | ||||
\(949\) | 1.67427 | − | 0.806285i | 0.0543490 | − | 0.0261731i | ||||
\(950\) | 4.50842 | + | 5.65338i | 0.146272 | + | 0.183420i | ||||
\(951\) | −4.54730 | − | 19.9230i | −0.147456 | − | 0.646048i | ||||
\(952\) | −5.97828 | −0.193757 | ||||||||
\(953\) | −13.0224 | −0.421837 | −0.210918 | − | 0.977504i | \(-0.567645\pi\) | ||||
−0.210918 | + | 0.977504i | \(0.567645\pi\) | |||||||
\(954\) | 1.65944 | + | 7.27050i | 0.0537265 | + | 0.235391i | ||||
\(955\) | −15.6091 | + | 19.5732i | −0.505098 | + | 0.633373i | ||||
\(956\) | 4.35622 | − | 19.0858i | 0.140890 | − | 0.617280i | ||||
\(957\) | 5.12284 | − | 6.42384i | 0.165598 | − | 0.207653i | ||||
\(958\) | −1.17337 | − | 0.565067i | −0.0379100 | − | 0.0182565i | ||||
\(959\) | 2.89900 | + | 12.7014i | 0.0936137 | + | 0.410149i | ||||
\(960\) | −1.86081 | − | 0.896118i | −0.0600573 | − | 0.0289221i | ||||
\(961\) | 19.7301 | + | 24.7408i | 0.636456 | + | 0.798091i | ||||
\(962\) | −0.618412 | + | 2.70944i | −0.0199384 | + | 0.0873558i | ||||
\(963\) | −4.96559 | + | 21.7557i | −0.160014 | + | 0.701067i | ||||
\(964\) | −0.318033 | + | 0.153157i | −0.0102432 | + | 0.00493284i | ||||
\(965\) | 4.74709 | + | 5.95266i | 0.152814 | + | 0.191623i | ||||
\(966\) | −7.57879 | + | 9.50350i | −0.243843 | + | 0.305770i | ||||
\(967\) | −39.3177 | + | 18.9344i | −1.26437 | + | 0.608889i | −0.941327 | − | 0.337495i | \(-0.890420\pi\) |
−0.323044 | + | 0.946384i | \(0.604706\pi\) | |||||||
\(968\) | 6.84529 | − | 3.29652i | 0.220016 | − | 0.105954i | ||||
\(969\) | 32.5405 | − | 40.8045i | 1.04535 | − | 1.31083i | ||||
\(970\) | 3.83269 | + | 4.80604i | 0.123060 | + | 0.154313i | ||||
\(971\) | −21.3667 | + | 10.2897i | −0.685691 | + | 0.330211i | −0.744087 | − | 0.668082i | \(-0.767115\pi\) |
0.0583968 | + | 0.998293i | \(0.481401\pi\) | |||||||
\(972\) | −2.75380 | + | 12.0652i | −0.0883282 | + | 0.386991i | ||||
\(973\) | 0.388298 | − | 1.70124i | 0.0124483 | − | 0.0545393i | ||||
\(974\) | −4.83951 | − | 6.06855i | −0.155068 | − | 0.194449i | ||||
\(975\) | 0.569607 | + | 0.274308i | 0.0182420 | + | 0.00878489i | ||||
\(976\) | −0.104344 | − | 0.457161i | −0.00333997 | − | 0.0146334i | ||||
\(977\) | −49.3730 | − | 23.7768i | −1.57958 | − | 0.760687i | −0.580999 | − | 0.813904i | \(-0.697338\pi\) |
−0.998583 | + | 0.0532176i | \(0.983052\pi\) | |||||||
\(978\) | −20.7236 | + | 25.9866i | −0.662668 | + | 0.830959i | ||||
\(979\) | −3.93690 | + | 17.2487i | −0.125824 | + | 0.551270i | ||||
\(980\) | 2.53984 | − | 3.18486i | 0.0811322 | − | 0.101737i | ||||
\(981\) | 3.31548 | + | 14.5260i | 0.105855 | + | 0.463781i | ||||
\(982\) | −6.42390 | −0.204995 | ||||||||
\(983\) | −33.6188 | −1.07227 | −0.536137 | − | 0.844131i | \(-0.680117\pi\) | ||||
−0.536137 | + | 0.844131i | \(0.680117\pi\) | |||||||
\(984\) | 4.30798 | + | 18.8745i | 0.137333 | + | 0.601697i | ||||
\(985\) | 15.8183 | + | 19.8356i | 0.504014 | + | 0.632014i | ||||
\(986\) | −6.79081 | + | 3.27028i | −0.216264 | + | 0.104147i | ||||
\(987\) | 11.7141 | + | 5.64122i | 0.372865 | + | 0.179562i | ||||
\(988\) | 2.21344 | 0.0704190 | ||||||||
\(989\) | −12.2715 | + | 18.9309i | −0.390210 | + | 0.601967i | ||||
\(990\) | −2.33450 | −0.0741954 | ||||||||
\(991\) | 40.1856 | + | 19.3524i | 1.27654 | + | 0.614748i | 0.944498 | − | 0.328517i | \(-0.106549\pi\) |
0.332040 | + | 0.943265i | \(0.392263\pi\) | |||||||
\(992\) | −7.13102 | + | 3.43412i | −0.226410 | + | 0.109033i | ||||
\(993\) | −28.0770 | − | 35.2075i | −0.890997 | − | 1.11727i | ||||
\(994\) | 2.07934 | + | 9.11020i | 0.0659528 | + | 0.288958i | ||||
\(995\) | 5.80921 | 0.184164 | ||||||||
\(996\) | −13.7410 | −0.435399 | ||||||||
\(997\) | 11.4709 | + | 50.2573i | 0.363287 | + | 1.59166i | 0.744791 | + | 0.667297i | \(0.232549\pi\) |
−0.381504 | + | 0.924367i | \(0.624594\pi\) | |||||||
\(998\) | 12.1881 | − | 15.2834i | 0.385809 | − | 0.483789i | ||||
\(999\) | −7.23663 | + | 31.7058i | −0.228957 | + | 1.00313i |
(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 | 430.2.k.b.21.3 | ✓ | 18 | |
43.41 | even | 7 | inner | 430.2.k.b.41.3 | yes | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
430.2.k.b.21.3 | ✓ | 18 | 1.1 | even | 1 | trivial | |
430.2.k.b.41.3 | yes | 18 | 43.41 | even | 7 | inner |