Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [363,2,Mod(161,363)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(363, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("363.161");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 363 = 3 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 363.f (of order \(10\), degree \(4\), not 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: | \(2.89856959337\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\Q(\zeta_{20})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{6} + x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 33) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 233.2 | ||
Root | \(-0.951057 + 0.309017i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 363.233 |
Dual form | 363.2.f.e.215.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/363\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(244\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.363271 | − | 1.11803i | 0.256872 | − | 0.790569i | −0.736584 | − | 0.676347i | \(-0.763562\pi\) |
0.993455 | − | 0.114223i | \(-0.0364378\pi\) | |||||||
\(3\) | 1.45106 | + | 0.945746i | 0.837768 | + | 0.546027i | ||||
\(4\) | 0.500000 | + | 0.363271i | 0.250000 | + | 0.181636i | ||||
\(5\) | 0.363271 | − | 0.118034i | 0.162460 | − | 0.0527864i | −0.226658 | − | 0.973974i | \(-0.572780\pi\) |
0.389118 | + | 0.921188i | \(0.372780\pi\) | |||||||
\(6\) | 1.58450 | − | 1.27877i | 0.646871 | − | 0.522055i | ||||
\(7\) | −1.80902 | + | 2.48990i | −0.683744 | + | 0.941093i | −0.999971 | − | 0.00759045i | \(-0.997584\pi\) |
0.316227 | + | 0.948684i | \(0.397584\pi\) | |||||||
\(8\) | 2.48990 | − | 1.80902i | 0.880312 | − | 0.639584i | ||||
\(9\) | 1.21113 | + | 2.74466i | 0.403710 | + | 0.914887i | ||||
\(10\) | − | 0.449028i | − | 0.141995i | ||||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 0.381966 | + | 1.00000i | 0.110264 | + | 0.288675i | ||||
\(13\) | −0.690983 | − | 0.224514i | −0.191644 | − | 0.0622690i | 0.211622 | − | 0.977351i | \(-0.432125\pi\) |
−0.403267 | + | 0.915083i | \(0.632125\pi\) | |||||||
\(14\) | 2.12663 | + | 2.92705i | 0.568365 | + | 0.782287i | ||||
\(15\) | 0.638757 | + | 0.172288i | 0.164926 | + | 0.0444846i | ||||
\(16\) | −0.736068 | − | 2.26538i | −0.184017 | − | 0.566346i | ||||
\(17\) | −1.31433 | − | 4.04508i | −0.318771 | − | 0.981077i | −0.974174 | − | 0.225798i | \(-0.927501\pi\) |
0.655403 | − | 0.755279i | \(-0.272499\pi\) | |||||||
\(18\) | 3.50859 | − | 0.357028i | 0.826983 | − | 0.0841523i | ||||
\(19\) | 1.54508 | + | 2.12663i | 0.354467 | + | 0.487882i | 0.948597 | − | 0.316487i | \(-0.102504\pi\) |
−0.594130 | + | 0.804369i | \(0.702504\pi\) | |||||||
\(20\) | 0.224514 | + | 0.0729490i | 0.0502029 | + | 0.0163119i | ||||
\(21\) | −4.97980 | + | 1.90211i | −1.08668 | + | 0.415075i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | − | 6.23607i | − | 1.30031i | −0.759802 | − | 0.650155i | \(-0.774704\pi\) | ||
0.759802 | − | 0.650155i | \(-0.225296\pi\) | |||||||
\(24\) | 5.32385 | − | 0.270175i | 1.08673 | − | 0.0551493i | ||||
\(25\) | −3.92705 | + | 2.85317i | −0.785410 | + | 0.570634i | ||||
\(26\) | −0.502029 | + | 0.690983i | −0.0984559 | + | 0.135513i | ||||
\(27\) | −0.838333 | + | 5.12808i | −0.161337 | + | 0.986899i | ||||
\(28\) | −1.80902 | + | 0.587785i | −0.341872 | + | 0.111081i | ||||
\(29\) | 1.90211 | + | 1.38197i | 0.353214 | + | 0.256625i | 0.750216 | − | 0.661193i | \(-0.229950\pi\) |
−0.397002 | + | 0.917818i | \(0.629950\pi\) | |||||||
\(30\) | 0.424666 | − | 0.651565i | 0.0775331 | − | 0.118959i | ||||
\(31\) | 1.80902 | − | 5.56758i | 0.324909 | − | 0.999967i | −0.646573 | − | 0.762852i | \(-0.723798\pi\) |
0.971482 | − | 0.237115i | \(-0.0762017\pi\) | |||||||
\(32\) | 3.35520 | 0.593121 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −5.00000 | −0.857493 | ||||||||
\(35\) | −0.363271 | + | 1.11803i | −0.0614041 | + | 0.188982i | ||||
\(36\) | −0.391491 | + | 1.81230i | −0.0652486 | + | 0.302050i | ||||
\(37\) | −2.42705 | − | 1.76336i | −0.399005 | − | 0.289894i | 0.370131 | − | 0.928980i | \(-0.379313\pi\) |
−0.769135 | + | 0.639086i | \(0.779313\pi\) | |||||||
\(38\) | 2.93893 | − | 0.954915i | 0.476757 | − | 0.154908i | ||||
\(39\) | −0.790322 | − | 0.979277i | −0.126553 | − | 0.156810i | ||||
\(40\) | 0.690983 | − | 0.951057i | 0.109254 | − | 0.150375i | ||||
\(41\) | −0.587785 | + | 0.427051i | −0.0917966 | + | 0.0666942i | −0.632737 | − | 0.774367i | \(-0.718069\pi\) |
0.540940 | + | 0.841061i | \(0.318069\pi\) | |||||||
\(42\) | 0.317610 | + | 6.25856i | 0.0490083 | + | 0.965718i | ||||
\(43\) | − | 6.88191i | − | 1.04948i | −0.851262 | − | 0.524741i | \(-0.824162\pi\) | ||
0.851262 | − | 0.524741i | \(-0.175838\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.763932 | + | 0.854102i | 0.113880 | + | 0.127322i | ||||
\(46\) | −6.97214 | − | 2.26538i | −1.02799 | − | 0.334013i | ||||
\(47\) | −4.89404 | − | 6.73607i | −0.713869 | − | 0.982556i | −0.999705 | − | 0.0242780i | \(-0.992271\pi\) |
0.285836 | − | 0.958279i | \(-0.407729\pi\) | |||||||
\(48\) | 1.07440 | − | 3.98333i | 0.155076 | − | 0.574945i | ||||
\(49\) | −0.763932 | − | 2.35114i | −0.109133 | − | 0.335877i | ||||
\(50\) | 1.76336 | + | 5.42705i | 0.249376 | + | 0.767501i | ||||
\(51\) | 1.91846 | − | 7.11267i | 0.268638 | − | 0.995973i | ||||
\(52\) | −0.263932 | − | 0.363271i | −0.0366008 | − | 0.0503767i | ||||
\(53\) | −1.76336 | − | 0.572949i | −0.242216 | − | 0.0787006i | 0.185394 | − | 0.982664i | \(-0.440644\pi\) |
−0.427609 | + | 0.903964i | \(0.640644\pi\) | |||||||
\(54\) | 5.42882 | + | 2.80017i | 0.738769 | + | 0.381055i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 9.47214i | 1.26577i | ||||||||
\(57\) | 0.230757 | + | 4.54711i | 0.0305645 | + | 0.602280i | ||||
\(58\) | 2.23607 | − | 1.62460i | 0.293610 | − | 0.213320i | ||||
\(59\) | −0.224514 | + | 0.309017i | −0.0292292 | + | 0.0402306i | −0.823381 | − | 0.567488i | \(-0.807915\pi\) |
0.794152 | + | 0.607719i | \(0.207915\pi\) | |||||||
\(60\) | 0.256791 | + | 0.318186i | 0.0331516 | + | 0.0410777i | ||||
\(61\) | −2.50000 | + | 0.812299i | −0.320092 | + | 0.104004i | −0.464656 | − | 0.885491i | \(-0.653822\pi\) |
0.144564 | + | 0.989495i | \(0.453822\pi\) | |||||||
\(62\) | −5.56758 | − | 4.04508i | −0.707084 | − | 0.513726i | ||||
\(63\) | −9.02488 | − | 1.94955i | −1.13703 | − | 0.245620i | ||||
\(64\) | 2.69098 | − | 8.28199i | 0.336373 | − | 1.03525i | ||||
\(65\) | −0.277515 | −0.0344214 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 7.32624 | 0.895042 | 0.447521 | − | 0.894273i | \(-0.352307\pi\) | ||||
0.447521 | + | 0.894273i | \(0.352307\pi\) | |||||||
\(68\) | 0.812299 | − | 2.50000i | 0.0985058 | − | 0.303170i | ||||
\(69\) | 5.89773 | − | 9.04889i | 0.710004 | − | 1.08936i | ||||
\(70\) | 1.11803 | + | 0.812299i | 0.133631 | + | 0.0970883i | ||||
\(71\) | −5.06555 | + | 1.64590i | −0.601171 | + | 0.195332i | −0.593762 | − | 0.804640i | \(-0.702358\pi\) |
−0.00740814 | + | 0.999973i | \(0.502358\pi\) | |||||||
\(72\) | 7.98073 | + | 4.64297i | 0.940538 | + | 0.547179i | ||||
\(73\) | −5.52786 | + | 7.60845i | −0.646988 | + | 0.890502i | −0.998964 | − | 0.0455069i | \(-0.985510\pi\) |
0.351976 | + | 0.936009i | \(0.385510\pi\) | |||||||
\(74\) | −2.85317 | + | 2.07295i | −0.331674 | + | 0.240975i | ||||
\(75\) | −8.39675 | + | 0.426119i | −0.969573 | + | 0.0492039i | ||||
\(76\) | 1.62460i | 0.186354i | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −1.38197 | + | 0.527864i | −0.156477 | + | 0.0597688i | ||||
\(79\) | −3.78115 | − | 1.22857i | −0.425413 | − | 0.138225i | 0.0884828 | − | 0.996078i | \(-0.471798\pi\) |
−0.513896 | + | 0.857853i | \(0.671798\pi\) | |||||||
\(80\) | −0.534785 | − | 0.736068i | −0.0597907 | − | 0.0822949i | ||||
\(81\) | −6.06633 | + | 6.64828i | −0.674036 | + | 0.738698i | ||||
\(82\) | 0.263932 | + | 0.812299i | 0.0291464 | + | 0.0897034i | ||||
\(83\) | 1.95511 | + | 6.01722i | 0.214602 | + | 0.660476i | 0.999182 | + | 0.0404483i | \(0.0128786\pi\) |
−0.784580 | + | 0.620028i | \(0.787121\pi\) | |||||||
\(84\) | −3.18088 | − | 0.857960i | −0.347063 | − | 0.0936112i | ||||
\(85\) | −0.954915 | − | 1.31433i | −0.103575 | − | 0.142559i | ||||
\(86\) | −7.69421 | − | 2.50000i | −0.829688 | − | 0.269582i | ||||
\(87\) | 1.45309 | + | 3.80423i | 0.155787 | + | 0.407856i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 0.527864i | 0.0559535i | 0.999609 | + | 0.0279767i | \(0.00890643\pi\) | ||||
−0.999609 | + | 0.0279767i | \(0.991094\pi\) | |||||||
\(90\) | 1.23243 | − | 0.543831i | 0.129909 | − | 0.0573248i | ||||
\(91\) | 1.80902 | − | 1.31433i | 0.189637 | − | 0.137779i | ||||
\(92\) | 2.26538 | − | 3.11803i | 0.236183 | − | 0.325078i | ||||
\(93\) | 7.89050 | − | 6.36801i | 0.818207 | − | 0.660331i | ||||
\(94\) | −9.30902 | + | 3.02468i | −0.960152 | + | 0.311972i | ||||
\(95\) | 0.812299 | + | 0.590170i | 0.0833401 | + | 0.0605502i | ||||
\(96\) | 4.86858 | + | 3.17316i | 0.496898 | + | 0.323860i | ||||
\(97\) | −1.35410 | + | 4.16750i | −0.137488 | + | 0.423145i | −0.995969 | − | 0.0897009i | \(-0.971409\pi\) |
0.858481 | + | 0.512846i | \(0.171409\pi\) | |||||||
\(98\) | −2.90617 | −0.293568 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −3.00000 | −0.300000 | ||||||||
\(101\) | −4.92680 | + | 15.1631i | −0.490235 | + | 1.50879i | 0.334019 | + | 0.942566i | \(0.391595\pi\) |
−0.824254 | + | 0.566220i | \(0.808405\pi\) | |||||||
\(102\) | −7.25528 | − | 4.72873i | −0.718380 | − | 0.468214i | ||||
\(103\) | 9.09017 | + | 6.60440i | 0.895681 | + | 0.650750i | 0.937353 | − | 0.348381i | \(-0.113268\pi\) |
−0.0416720 | + | 0.999131i | \(0.513268\pi\) | |||||||
\(104\) | −2.12663 | + | 0.690983i | −0.208533 | + | 0.0677565i | ||||
\(105\) | −1.58450 | + | 1.27877i | −0.154632 | + | 0.124795i | ||||
\(106\) | −1.28115 | + | 1.76336i | −0.124437 | + | 0.171272i | ||||
\(107\) | −10.5474 | + | 7.66312i | −1.01965 | + | 0.740822i | −0.966212 | − | 0.257749i | \(-0.917019\pi\) |
−0.0534417 | + | 0.998571i | \(0.517019\pi\) | |||||||
\(108\) | −2.28205 | + | 2.25950i | −0.219590 | + | 0.217420i | ||||
\(109\) | 4.70228i | 0.450397i | 0.974313 | + | 0.225198i | \(0.0723030\pi\) | ||||
−0.974313 | + | 0.225198i | \(0.927697\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.85410 | − | 4.85410i | −0.175984 | − | 0.460731i | ||||
\(112\) | 6.97214 | + | 2.26538i | 0.658805 | + | 0.214059i | ||||
\(113\) | −1.20833 | − | 1.66312i | −0.113670 | − | 0.156453i | 0.748391 | − | 0.663258i | \(-0.230827\pi\) |
−0.862061 | + | 0.506804i | \(0.830827\pi\) | |||||||
\(114\) | 5.16765 | + | 1.39384i | 0.483995 | + | 0.130545i | ||||
\(115\) | −0.736068 | − | 2.26538i | −0.0686387 | − | 0.211248i | ||||
\(116\) | 0.449028 | + | 1.38197i | 0.0416912 | + | 0.128312i | ||||
\(117\) | −0.220655 | − | 2.16843i | −0.0203996 | − | 0.200471i | ||||
\(118\) | 0.263932 | + | 0.363271i | 0.0242969 | + | 0.0334418i | ||||
\(119\) | 12.4495 | + | 4.04508i | 1.14124 | + | 0.370812i | ||||
\(120\) | 1.90211 | − | 0.726543i | 0.173638 | − | 0.0663240i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 3.09017i | 0.279771i | ||||||||
\(123\) | −1.25679 | + | 0.0637797i | −0.113321 | + | 0.00575082i | ||||
\(124\) | 2.92705 | − | 2.12663i | 0.262857 | − | 0.190977i | ||||
\(125\) | −2.21238 | + | 3.04508i | −0.197882 | + | 0.272361i | ||||
\(126\) | −5.45814 | + | 9.38191i | −0.486250 | + | 0.835807i | ||||
\(127\) | 12.2361 | − | 3.97574i | 1.08578 | − | 0.352790i | 0.289163 | − | 0.957280i | \(-0.406623\pi\) |
0.796613 | + | 0.604490i | \(0.206623\pi\) | |||||||
\(128\) | −2.85317 | − | 2.07295i | −0.252187 | − | 0.183225i | ||||
\(129\) | 6.50854 | − | 9.98604i | 0.573045 | − | 0.879222i | ||||
\(130\) | −0.100813 | + | 0.310271i | −0.00884189 | + | 0.0272125i | ||||
\(131\) | −10.4086 | −0.909405 | −0.454703 | − | 0.890643i | \(-0.650254\pi\) | ||||
−0.454703 | + | 0.890643i | \(0.650254\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −8.09017 | −0.701507 | ||||||||
\(134\) | 2.66141 | − | 8.19098i | 0.229911 | − | 0.707593i | ||||
\(135\) | 0.300745 | + | 1.96184i | 0.0258840 | + | 0.168848i | ||||
\(136\) | −10.5902 | − | 7.69421i | −0.908100 | − | 0.659773i | ||||
\(137\) | 4.47777 | − | 1.45492i | 0.382562 | − | 0.124302i | −0.111422 | − | 0.993773i | \(-0.535540\pi\) |
0.493983 | + | 0.869471i | \(0.335540\pi\) | |||||||
\(138\) | −7.97449 | − | 9.88107i | −0.678833 | − | 0.841132i | ||||
\(139\) | 8.35410 | − | 11.4984i | 0.708586 | − | 0.975285i | −0.291241 | − | 0.956650i | \(-0.594068\pi\) |
0.999826 | − | 0.0186347i | \(-0.00593195\pi\) | |||||||
\(140\) | −0.587785 | + | 0.427051i | −0.0496769 | + | 0.0360924i | ||||
\(141\) | −0.730921 | − | 14.4029i | −0.0615546 | − | 1.21295i | ||||
\(142\) | 6.26137i | 0.525442i | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 5.32624 | − | 4.76393i | 0.443853 | − | 0.396994i | ||||
\(145\) | 0.854102 | + | 0.277515i | 0.0709293 | + | 0.0230463i | ||||
\(146\) | 6.49839 | + | 8.94427i | 0.537811 | + | 0.740233i | ||||
\(147\) | 1.11507 | − | 4.13412i | 0.0919697 | − | 0.340977i | ||||
\(148\) | −0.572949 | − | 1.76336i | −0.0470961 | − | 0.144947i | ||||
\(149\) | −4.02874 | − | 12.3992i | −0.330047 | − | 1.01578i | −0.969111 | − | 0.246627i | \(-0.920678\pi\) |
0.639063 | − | 0.769154i | \(-0.279322\pi\) | |||||||
\(150\) | −2.57388 | + | 9.54264i | −0.210157 | + | 0.779154i | ||||
\(151\) | 3.29180 | + | 4.53077i | 0.267883 | + | 0.368709i | 0.921673 | − | 0.387967i | \(-0.126822\pi\) |
−0.653791 | + | 0.756675i | \(0.726822\pi\) | |||||||
\(152\) | 7.69421 | + | 2.50000i | 0.624083 | + | 0.202777i | ||||
\(153\) | 9.51057 | − | 8.50651i | 0.768884 | − | 0.687710i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | − | 2.23607i | − | 0.179605i | ||||||
\(156\) | −0.0394180 | − | 0.776740i | −0.00315597 | − | 0.0621889i | ||||
\(157\) | −7.85410 | + | 5.70634i | −0.626826 | + | 0.455415i | −0.855299 | − | 0.518135i | \(-0.826627\pi\) |
0.228473 | + | 0.973550i | \(0.426627\pi\) | |||||||
\(158\) | −2.74717 | + | 3.78115i | −0.218553 | + | 0.300812i | ||||
\(159\) | −2.01686 | − | 2.49907i | −0.159948 | − | 0.198189i | ||||
\(160\) | 1.21885 | − | 0.396027i | 0.0963583 | − | 0.0313087i | ||||
\(161\) | 15.5272 | + | 11.2812i | 1.22371 | + | 0.889079i | ||||
\(162\) | 5.22928 | + | 9.19749i | 0.410851 | + | 0.722623i | ||||
\(163\) | −4.51722 | + | 13.9026i | −0.353816 | + | 1.08893i | 0.602877 | + | 0.797834i | \(0.294021\pi\) |
−0.956693 | + | 0.291099i | \(0.905979\pi\) | |||||||
\(164\) | −0.449028 | −0.0350632 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 7.43769 | 0.577277 | ||||||||
\(167\) | 6.51864 | − | 20.0623i | 0.504427 | − | 1.55247i | −0.297304 | − | 0.954783i | \(-0.596087\pi\) |
0.801731 | − | 0.597685i | \(-0.203913\pi\) | |||||||
\(168\) | −8.95823 | + | 13.7446i | −0.691143 | + | 1.06042i | ||||
\(169\) | −10.0902 | − | 7.33094i | −0.776167 | − | 0.563918i | ||||
\(170\) | −1.81636 | + | 0.590170i | −0.139308 | + | 0.0452640i | ||||
\(171\) | −3.96557 | + | 6.81636i | −0.303255 | + | 0.521260i | ||||
\(172\) | 2.50000 | − | 3.44095i | 0.190623 | − | 0.262370i | ||||
\(173\) | 18.6906 | − | 13.5795i | 1.42102 | − | 1.03243i | 0.429419 | − | 0.903105i | \(-0.358718\pi\) |
0.991602 | − | 0.129327i | \(-0.0412817\pi\) | |||||||
\(174\) | 4.78112 | − | 0.242632i | 0.362456 | − | 0.0183939i | ||||
\(175\) | − | 14.9394i | − | 1.12931i | ||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −0.618034 | + | 0.236068i | −0.0464543 | + | 0.0177440i | ||||
\(178\) | 0.590170 | + | 0.191758i | 0.0442351 | + | 0.0143729i | ||||
\(179\) | 8.19624 | + | 11.2812i | 0.612616 | + | 0.843193i | 0.996789 | − | 0.0800678i | \(-0.0255137\pi\) |
−0.384174 | + | 0.923261i | \(0.625514\pi\) | |||||||
\(180\) | 0.0716953 | + | 0.704566i | 0.00534385 | + | 0.0525152i | ||||
\(181\) | 2.39919 | + | 7.38394i | 0.178330 | + | 0.548844i | 0.999770 | − | 0.0214515i | \(-0.00682876\pi\) |
−0.821440 | + | 0.570295i | \(0.806829\pi\) | |||||||
\(182\) | −0.812299 | − | 2.50000i | −0.0602116 | − | 0.185312i | ||||
\(183\) | −4.39587 | − | 1.18567i | −0.324952 | − | 0.0876474i | ||||
\(184\) | −11.2812 | − | 15.5272i | −0.831658 | − | 1.14468i | ||||
\(185\) | −1.08981 | − | 0.354102i | −0.0801247 | − | 0.0260341i | ||||
\(186\) | −4.25325 | − | 11.1352i | −0.311864 | − | 0.816470i | ||||
\(187\) | 0 | 0 | ||||||||
\(188\) | − | 5.14590i | − | 0.375303i | ||||||
\(189\) | −11.2518 | − | 11.3641i | −0.818451 | − | 0.826620i | ||||
\(190\) | 0.954915 | − | 0.693786i | 0.0692768 | − | 0.0503326i | ||||
\(191\) | 14.2456 | − | 19.6074i | 1.03078 | − | 1.41874i | 0.126412 | − | 0.991978i | \(-0.459654\pi\) |
0.904363 | − | 0.426763i | \(-0.140346\pi\) | |||||||
\(192\) | 11.7374 | − | 9.47266i | 0.847076 | − | 0.683630i | ||||
\(193\) | 9.37132 | − | 3.04493i | 0.674563 | − | 0.219179i | 0.0483493 | − | 0.998830i | \(-0.484604\pi\) |
0.626213 | + | 0.779652i | \(0.284604\pi\) | |||||||
\(194\) | 4.16750 | + | 3.02786i | 0.299209 | + | 0.217388i | ||||
\(195\) | −0.402689 | − | 0.262458i | −0.0288372 | − | 0.0187950i | ||||
\(196\) | 0.472136 | − | 1.45309i | 0.0337240 | − | 0.103792i | ||||
\(197\) | 8.61251 | 0.613616 | 0.306808 | − | 0.951771i | \(-0.400739\pi\) | ||||
0.306808 | + | 0.951771i | \(0.400739\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2.23607 | 0.158511 | 0.0792553 | − | 0.996854i | \(-0.474746\pi\) | ||||
0.0792553 | + | 0.996854i | \(0.474746\pi\) | |||||||
\(200\) | −4.61653 | + | 14.2082i | −0.326438 | + | 1.00467i | ||||
\(201\) | 10.6308 | + | 6.92876i | 0.749838 | + | 0.488717i | ||||
\(202\) | 15.1631 | + | 11.0167i | 1.06687 | + | 0.775129i | ||||
\(203\) | −6.88191 | + | 2.23607i | −0.483015 | + | 0.156941i | ||||
\(204\) | 3.54306 | − | 2.85941i | 0.248064 | − | 0.200199i | ||||
\(205\) | −0.163119 | + | 0.224514i | −0.0113927 | + | 0.0156807i | ||||
\(206\) | 10.6861 | − | 7.76393i | 0.744538 | − | 0.540939i | ||||
\(207\) | 17.1159 | − | 7.55269i | 1.18964 | − | 0.524948i | ||||
\(208\) | 1.73060i | 0.119995i | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0.854102 | + | 2.23607i | 0.0589386 | + | 0.154303i | ||||
\(211\) | 18.5172 | + | 6.01661i | 1.27478 | + | 0.414201i | 0.866738 | − | 0.498764i | \(-0.166212\pi\) |
0.408040 | + | 0.912964i | \(0.366212\pi\) | |||||||
\(212\) | −0.673542 | − | 0.927051i | −0.0462591 | − | 0.0636701i | ||||
\(213\) | −8.90701 | − | 2.40243i | −0.610298 | − | 0.164612i | ||||
\(214\) | 4.73607 | + | 14.5761i | 0.323751 | + | 0.996403i | ||||
\(215\) | −0.812299 | − | 2.50000i | −0.0553983 | − | 0.170499i | ||||
\(216\) | 7.18942 | + | 14.2850i | 0.489178 | + | 0.971968i | ||||
\(217\) | 10.5902 | + | 14.5761i | 0.718908 | + | 0.989491i | ||||
\(218\) | 5.25731 | + | 1.70820i | 0.356070 | + | 0.115694i | ||||
\(219\) | −15.2169 | + | 5.81234i | −1.02826 | + | 0.392762i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 3.09017i | 0.207867i | ||||||||
\(222\) | −6.10059 | + | 0.309593i | −0.409445 | + | 0.0207785i | ||||
\(223\) | −1.42705 | + | 1.03681i | −0.0955624 | + | 0.0694301i | −0.634540 | − | 0.772890i | \(-0.718811\pi\) |
0.538978 | + | 0.842320i | \(0.318811\pi\) | |||||||
\(224\) | −6.06961 | + | 8.35410i | −0.405543 | + | 0.558182i | ||||
\(225\) | −12.5872 | − | 7.32286i | −0.839144 | − | 0.488191i | ||||
\(226\) | −2.29837 | + | 0.746787i | −0.152886 | + | 0.0496755i | ||||
\(227\) | −11.7229 | − | 8.51722i | −0.778079 | − | 0.565308i | 0.126323 | − | 0.991989i | \(-0.459683\pi\) |
−0.904402 | + | 0.426681i | \(0.859683\pi\) | |||||||
\(228\) | −1.53646 | + | 2.35738i | −0.101754 | + | 0.156122i | ||||
\(229\) | −4.67376 | + | 14.3844i | −0.308851 | + | 0.950545i | 0.669361 | + | 0.742937i | \(0.266568\pi\) |
−0.978212 | + | 0.207608i | \(0.933432\pi\) | |||||||
\(230\) | −2.80017 | −0.184638 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 7.23607 | 0.475071 | ||||||||
\(233\) | 2.99193 | − | 9.20820i | 0.196008 | − | 0.603249i | −0.803956 | − | 0.594689i | \(-0.797275\pi\) |
0.999963 | − | 0.00856033i | \(-0.00272487\pi\) | |||||||
\(234\) | −2.50454 | − | 0.541028i | −0.163727 | − | 0.0353681i | ||||
\(235\) | −2.57295 | − | 1.86936i | −0.167841 | − | 0.121943i | ||||
\(236\) | −0.224514 | + | 0.0729490i | −0.0146146 | + | 0.00474858i | ||||
\(237\) | −4.32475 | − | 5.35874i | −0.280923 | − | 0.348087i | ||||
\(238\) | 9.04508 | − | 12.4495i | 0.586306 | − | 0.806981i | ||||
\(239\) | −6.24112 | + | 4.53444i | −0.403705 | + | 0.293309i | −0.771048 | − | 0.636777i | \(-0.780267\pi\) |
0.367344 | + | 0.930085i | \(0.380267\pi\) | |||||||
\(240\) | −0.0798697 | − | 1.57385i | −0.00515556 | − | 0.101591i | ||||
\(241\) | 27.8707i | 1.79531i | 0.440702 | + | 0.897654i | \(0.354730\pi\) | ||||
−0.440702 | + | 0.897654i | \(0.645270\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −15.0902 | + | 3.90983i | −0.968035 | + | 0.250816i | ||||
\(244\) | −1.54508 | − | 0.502029i | −0.0989139 | − | 0.0321391i | ||||
\(245\) | −0.555029 | − | 0.763932i | −0.0354595 | − | 0.0488058i | ||||
\(246\) | −0.385248 | + | 1.42830i | −0.0245625 | + | 0.0910654i | ||||
\(247\) | −0.590170 | − | 1.81636i | −0.0375516 | − | 0.115572i | ||||
\(248\) | −5.56758 | − | 17.1353i | −0.353542 | − | 1.08809i | ||||
\(249\) | −2.85378 | + | 10.5804i | −0.180851 | + | 0.670504i | ||||
\(250\) | 2.60081 | + | 3.57971i | 0.164490 | + | 0.226401i | ||||
\(251\) | −19.3314 | − | 6.28115i | −1.22019 | − | 0.396463i | −0.373037 | − | 0.927816i | \(-0.621684\pi\) |
−0.847150 | + | 0.531354i | \(0.821684\pi\) | |||||||
\(252\) | −3.80423 | − | 4.25325i | −0.239644 | − | 0.267930i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | − | 15.1246i | − | 0.949003i | ||||||
\(255\) | −0.142616 | − | 2.81027i | −0.00893095 | − | 0.175986i | ||||
\(256\) | 10.7361 | − | 7.80021i | 0.671004 | − | 0.487513i | ||||
\(257\) | −13.0903 | + | 18.0172i | −0.816549 | + | 1.12388i | 0.173731 | + | 0.984793i | \(0.444418\pi\) |
−0.990280 | + | 0.139090i | \(0.955582\pi\) | |||||||
\(258\) | −8.80037 | − | 10.9044i | −0.547887 | − | 0.678879i | ||||
\(259\) | 8.78115 | − | 2.85317i | 0.545634 | − | 0.177287i | ||||
\(260\) | −0.138757 | − | 0.100813i | −0.00860536 | − | 0.00625216i | ||||
\(261\) | −1.48932 | + | 6.89440i | −0.0921867 | + | 0.426752i | ||||
\(262\) | −3.78115 | + | 11.6372i | −0.233600 | + | 0.718948i | ||||
\(263\) | 9.12705 | 0.562798 | 0.281399 | − | 0.959591i | \(-0.409202\pi\) | ||||
0.281399 | + | 0.959591i | \(0.409202\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.708204 | −0.0435046 | ||||||||
\(266\) | −2.93893 | + | 9.04508i | −0.180197 | + | 0.554590i | ||||
\(267\) | −0.499225 | + | 0.765961i | −0.0305521 | + | 0.0468760i | ||||
\(268\) | 3.66312 | + | 2.66141i | 0.223761 | + | 0.162572i | ||||
\(269\) | 17.8456 | − | 5.79837i | 1.08806 | − | 0.353533i | 0.290565 | − | 0.956855i | \(-0.406157\pi\) |
0.797498 | + | 0.603322i | \(0.206157\pi\) | |||||||
\(270\) | 2.30265 | + | 0.376435i | 0.140135 | + | 0.0229091i | ||||
\(271\) | −9.96149 | + | 13.7108i | −0.605118 | + | 0.832873i | −0.996165 | − | 0.0874977i | \(-0.972113\pi\) |
0.391047 | + | 0.920371i | \(0.372113\pi\) | |||||||
\(272\) | −8.19624 | + | 5.95492i | −0.496970 | + | 0.361070i | ||||
\(273\) | 3.86801 | − | 0.196294i | 0.234102 | − | 0.0118802i | ||||
\(274\) | − | 5.53483i | − | 0.334371i | ||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 6.23607 | − | 2.38197i | 0.375367 | − | 0.143378i | ||||
\(277\) | 15.4271 | + | 5.01255i | 0.926922 | + | 0.301175i | 0.733303 | − | 0.679902i | \(-0.237978\pi\) |
0.193618 | + | 0.981077i | \(0.437978\pi\) | |||||||
\(278\) | −9.82084 | − | 13.5172i | −0.589015 | − | 0.810709i | ||||
\(279\) | 17.4721 | − | 1.77793i | 1.04603 | − | 0.106442i | ||||
\(280\) | 1.11803 | + | 3.44095i | 0.0668153 | + | 0.205636i | ||||
\(281\) | 8.22899 | + | 25.3262i | 0.490901 | + | 1.51084i | 0.823249 | + | 0.567680i | \(0.192159\pi\) |
−0.332349 | + | 0.943157i | \(0.607841\pi\) | |||||||
\(282\) | −16.3685 | − | 4.41498i | −0.974729 | − | 0.262908i | ||||
\(283\) | −12.5623 | − | 17.2905i | −0.746752 | − | 1.02782i | −0.998202 | − | 0.0599451i | \(-0.980907\pi\) |
0.251450 | − | 0.967870i | \(-0.419093\pi\) | |||||||
\(284\) | −3.13068 | − | 1.01722i | −0.185772 | − | 0.0603610i | ||||
\(285\) | 0.620541 | + | 1.62460i | 0.0367577 | + | 0.0962329i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | − | 2.23607i | − | 0.131991i | ||||||
\(288\) | 4.06358 | + | 9.20888i | 0.239449 | + | 0.542639i | ||||
\(289\) | −0.881966 | + | 0.640786i | −0.0518804 | + | 0.0376933i | ||||
\(290\) | 0.620541 | − | 0.854102i | 0.0364394 | − | 0.0501546i | ||||
\(291\) | −5.90627 | + | 4.76664i | −0.346232 | + | 0.279425i | ||||
\(292\) | −5.52786 | + | 1.79611i | −0.323494 | + | 0.105109i | ||||
\(293\) | −11.2739 | − | 8.19098i | −0.658629 | − | 0.478522i | 0.207570 | − | 0.978220i | \(-0.433444\pi\) |
−0.866200 | + | 0.499698i | \(0.833444\pi\) | |||||||
\(294\) | −4.21702 | − | 2.74850i | −0.245941 | − | 0.160296i | ||||
\(295\) | −0.0450850 | + | 0.138757i | −0.00262495 | + | 0.00807876i | ||||
\(296\) | −9.23305 | −0.536660 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −15.3262 | −0.887825 | ||||||||
\(299\) | −1.40008 | + | 4.30902i | −0.0809690 | + | 0.249197i | ||||
\(300\) | −4.35317 | − | 2.83724i | −0.251330 | − | 0.163808i | ||||
\(301\) | 17.1353 | + | 12.4495i | 0.987660 | + | 0.717577i | ||||
\(302\) | 6.26137 | − | 2.03444i | 0.360301 | − | 0.117069i | ||||
\(303\) | −21.4895 | + | 17.3430i | −1.23454 | + | 0.996332i | ||||
\(304\) | 3.68034 | − | 5.06555i | 0.211082 | − | 0.290529i | ||||
\(305\) | −0.812299 | + | 0.590170i | −0.0465121 | + | 0.0337930i | ||||
\(306\) | −6.05565 | − | 13.7233i | −0.346178 | − | 0.784509i | ||||
\(307\) | 9.51057i | 0.542797i | 0.962467 | + | 0.271398i | \(0.0874861\pi\) | ||||
−0.962467 | + | 0.271398i | \(0.912514\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 6.94427 | + | 18.1803i | 0.395046 | + | 1.03424i | ||||
\(310\) | −2.50000 | − | 0.812299i | −0.141990 | − | 0.0461355i | ||||
\(311\) | −2.93893 | − | 4.04508i | −0.166651 | − | 0.229376i | 0.717521 | − | 0.696537i | \(-0.245277\pi\) |
−0.884172 | + | 0.467161i | \(0.845277\pi\) | |||||||
\(312\) | −3.73935 | − | 1.00859i | −0.211699 | − | 0.0571003i | ||||
\(313\) | 3.39919 | + | 10.4616i | 0.192133 | + | 0.591326i | 0.999998 | + | 0.00195780i | \(0.000623187\pi\) |
−0.807865 | + | 0.589368i | \(0.799377\pi\) | |||||||
\(314\) | 3.52671 | + | 10.8541i | 0.199024 | + | 0.612532i | ||||
\(315\) | −3.50859 | + | 0.357028i | −0.197687 | + | 0.0201163i | ||||
\(316\) | −1.44427 | − | 1.98787i | −0.0812466 | − | 0.111826i | ||||
\(317\) | 4.02874 | + | 1.30902i | 0.226277 | + | 0.0735217i | 0.419961 | − | 0.907542i | \(-0.362044\pi\) |
−0.193684 | + | 0.981064i | \(0.562044\pi\) | |||||||
\(318\) | −3.52671 | + | 1.34708i | −0.197768 | + | 0.0755407i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | − | 3.32624i | − | 0.185942i | ||||||
\(321\) | −22.5522 | + | 1.14448i | −1.25874 | + | 0.0638787i | ||||
\(322\) | 18.2533 | − | 13.2618i | 1.01722 | − | 0.739051i | ||||
\(323\) | 6.57164 | − | 9.04508i | 0.365656 | − | 0.503282i | ||||
\(324\) | −5.44829 | + | 1.12042i | −0.302683 | + | 0.0622455i | ||||
\(325\) | 3.35410 | − | 1.08981i | 0.186052 | − | 0.0604520i | ||||
\(326\) | 13.9026 | + | 10.1008i | 0.769992 | + | 0.559432i | ||||
\(327\) | −4.44716 | + | 6.82328i | −0.245929 | + | 0.377328i | ||||
\(328\) | −0.690983 | + | 2.12663i | −0.0381532 | + | 0.117423i | ||||
\(329\) | 25.6255 | 1.41278 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 12.8885 | 0.708418 | 0.354209 | − | 0.935166i | \(-0.384750\pi\) | ||||
0.354209 | + | 0.935166i | \(0.384750\pi\) | |||||||
\(332\) | −1.20833 | + | 3.71885i | −0.0663155 | + | 0.204098i | ||||
\(333\) | 1.90034 | − | 8.79709i | 0.104138 | − | 0.482077i | ||||
\(334\) | −20.0623 | − | 14.5761i | −1.09776 | − | 0.797570i | ||||
\(335\) | 2.66141 | − | 0.864745i | 0.145408 | − | 0.0472461i | ||||
\(336\) | 7.97449 | + | 9.88107i | 0.435044 | + | 0.539056i | ||||
\(337\) | 14.7984 | − | 20.3682i | 0.806119 | − | 1.10953i | −0.185792 | − | 0.982589i | \(-0.559485\pi\) |
0.991911 | − | 0.126938i | \(-0.0405150\pi\) | |||||||
\(338\) | −11.8617 | + | 8.61803i | −0.645192 | + | 0.468759i | ||||
\(339\) | −0.180463 | − | 3.55605i | −0.00980138 | − | 0.193138i | ||||
\(340\) | − | 1.00406i | − | 0.0544526i | ||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 6.18034 | + | 6.90983i | 0.334195 | + | 0.373641i | ||||
\(343\) | −13.2533 | − | 4.30625i | −0.715610 | − | 0.232516i | ||||
\(344\) | −12.4495 | − | 17.1353i | −0.671232 | − | 0.923871i | ||||
\(345\) | 1.07440 | − | 3.98333i | 0.0578438 | − | 0.214455i | ||||
\(346\) | −8.39261 | − | 25.8298i | −0.451189 | − | 1.38862i | ||||
\(347\) | 2.24514 | + | 6.90983i | 0.120525 | + | 0.370939i | 0.993059 | − | 0.117614i | \(-0.0375247\pi\) |
−0.872534 | + | 0.488554i | \(0.837525\pi\) | |||||||
\(348\) | −0.655423 | + | 2.42998i | −0.0351344 | + | 0.130260i | ||||
\(349\) | 7.98936 | + | 10.9964i | 0.427660 | + | 0.588624i | 0.967414 | − | 0.253199i | \(-0.0814827\pi\) |
−0.539754 | + | 0.841823i | \(0.681483\pi\) | |||||||
\(350\) | −16.7027 | − | 5.42705i | −0.892799 | − | 0.290088i | ||||
\(351\) | 1.73060 | − | 3.35520i | 0.0923726 | − | 0.179087i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 33.5967i | 1.78817i | 0.447893 | + | 0.894087i | \(0.352175\pi\) | ||||
−0.447893 | + | 0.894087i | \(0.647825\pi\) | |||||||
\(354\) | 0.0394180 | + | 0.776740i | 0.00209504 | + | 0.0412833i | ||||
\(355\) | −1.64590 | + | 1.19581i | −0.0873552 | + | 0.0634673i | ||||
\(356\) | −0.191758 | + | 0.263932i | −0.0101631 | + | 0.0139884i | ||||
\(357\) | 14.2393 | + | 17.6437i | 0.753623 | + | 0.933804i | ||||
\(358\) | 15.5902 | − | 5.06555i | 0.823966 | − | 0.267723i | ||||
\(359\) | −25.7970 | − | 18.7426i | −1.36152 | − | 0.989199i | −0.998347 | − | 0.0574756i | \(-0.981695\pi\) |
−0.363169 | − | 0.931723i | \(-0.618305\pi\) | |||||||
\(360\) | 3.44720 | + | 0.744661i | 0.181683 | + | 0.0392471i | ||||
\(361\) | 3.73607 | − | 11.4984i | 0.196635 | − | 0.605181i | ||||
\(362\) | 9.12705 | 0.479707 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 1.38197 | 0.0724347 | ||||||||
\(365\) | −1.11006 | + | 3.41641i | −0.0581031 | + | 0.178823i | ||||
\(366\) | −2.92252 | + | 4.48401i | −0.152762 | + | 0.234383i | ||||
\(367\) | −19.3992 | − | 14.0943i | −1.01263 | − | 0.735718i | −0.0478704 | − | 0.998854i | \(-0.515243\pi\) |
−0.964759 | + | 0.263135i | \(0.915243\pi\) | |||||||
\(368\) | −14.1271 | + | 4.59017i | −0.736425 | + | 0.239279i | ||||
\(369\) | −1.88399 | − | 1.09606i | −0.0980768 | − | 0.0570584i | ||||
\(370\) | −0.791796 | + | 1.08981i | −0.0411635 | + | 0.0566567i | ||||
\(371\) | 4.61653 | − | 3.35410i | 0.239678 | − | 0.174136i | ||||
\(372\) | 6.25856 | − | 0.317610i | 0.324491 | − | 0.0164673i | ||||
\(373\) | − | 27.3561i | − | 1.41645i | −0.705989 | − | 0.708223i | \(-0.749497\pi\) | ||
0.705989 | − | 0.708223i | \(-0.250503\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −6.09017 | + | 2.32624i | −0.314495 | + | 0.120126i | ||||
\(376\) | −24.3713 | − | 7.91872i | −1.25686 | − | 0.408377i | ||||
\(377\) | −1.00406 | − | 1.38197i | −0.0517116 | − | 0.0711749i | ||||
\(378\) | −16.7930 | + | 8.45167i | −0.863737 | + | 0.434707i | ||||
\(379\) | 0.892609 | + | 2.74717i | 0.0458503 | + | 0.141113i | 0.971361 | − | 0.237609i | \(-0.0763637\pi\) |
−0.925511 | + | 0.378722i | \(0.876364\pi\) | |||||||
\(380\) | 0.191758 | + | 0.590170i | 0.00983697 | + | 0.0302751i | ||||
\(381\) | 21.5153 | + | 5.80319i | 1.10226 | + | 0.297306i | ||||
\(382\) | −16.7467 | − | 23.0499i | −0.856836 | − | 1.17933i | ||||
\(383\) | −11.8087 | − | 3.83688i | −0.603397 | − | 0.196055i | −0.00864191 | − | 0.999963i | \(-0.502751\pi\) |
−0.594755 | + | 0.803907i | \(0.702751\pi\) | |||||||
\(384\) | −2.17963 | − | 5.70634i | −0.111229 | − | 0.291200i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | − | 11.5836i | − | 0.589589i | ||||||
\(387\) | 18.8885 | − | 8.33489i | 0.960157 | − | 0.423686i | ||||
\(388\) | −2.19098 | + | 1.59184i | −0.111230 | + | 0.0808136i | ||||
\(389\) | −4.33901 | + | 5.97214i | −0.219997 | + | 0.302799i | −0.904723 | − | 0.426001i | \(-0.859922\pi\) |
0.684726 | + | 0.728801i | \(0.259922\pi\) | |||||||
\(390\) | −0.439723 | + | 0.354877i | −0.0222662 | + | 0.0179699i | ||||
\(391\) | −25.2254 | + | 8.19624i | −1.27570 | + | 0.414502i | ||||
\(392\) | −6.15537 | − | 4.47214i | −0.310893 | − | 0.225877i | ||||
\(393\) | −15.1035 | − | 9.84391i | −0.761871 | − | 0.496560i | ||||
\(394\) | 3.12868 | − | 9.62908i | 0.157620 | − | 0.485106i | ||||
\(395\) | −1.51860 | −0.0764089 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −23.0000 | −1.15434 | −0.577168 | − | 0.816625i | \(-0.695842\pi\) | ||||
−0.577168 | + | 0.816625i | \(0.695842\pi\) | |||||||
\(398\) | 0.812299 | − | 2.50000i | 0.0407169 | − | 0.125314i | ||||
\(399\) | −11.7393 | − | 7.65124i | −0.587700 | − | 0.383041i | ||||
\(400\) | 9.35410 | + | 6.79615i | 0.467705 | + | 0.339808i | ||||
\(401\) | −26.4908 | + | 8.60739i | −1.32289 | + | 0.429833i | −0.883486 | − | 0.468458i | \(-0.844810\pi\) |
−0.439403 | + | 0.898290i | \(0.644810\pi\) | |||||||
\(402\) | 11.6084 | − | 9.36856i | 0.578977 | − | 0.467261i | ||||
\(403\) | −2.50000 | + | 3.44095i | −0.124534 | + | 0.171406i | ||||
\(404\) | −7.97172 | + | 5.79180i | −0.396608 | + | 0.288153i | ||||
\(405\) | −1.41900 | + | 3.13116i | −0.0705106 | + | 0.155589i | ||||
\(406\) | 8.50651i | 0.422171i | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | −8.09017 | − | 21.1803i | −0.400523 | − | 1.04858i | ||||
\(409\) | 20.1246 | + | 6.53888i | 0.995098 | + | 0.323327i | 0.760905 | − | 0.648863i | \(-0.224755\pi\) |
0.234193 | + | 0.972190i | \(0.424755\pi\) | |||||||
\(410\) | 0.191758 | + | 0.263932i | 0.00947024 | + | 0.0130347i | ||||
\(411\) | 7.87347 | + | 2.12367i | 0.388370 | + | 0.104753i | ||||
\(412\) | 2.14590 | + | 6.60440i | 0.105721 | + | 0.325375i | ||||
\(413\) | −0.363271 | − | 1.11803i | −0.0178754 | − | 0.0550149i | ||||
\(414\) | −2.22645 | − | 21.8798i | −0.109424 | − | 1.07533i | ||||
\(415\) | 1.42047 | + | 1.95511i | 0.0697283 | + | 0.0959728i | ||||
\(416\) | −2.31838 | − | 0.753289i | −0.113668 | − | 0.0369330i | ||||
\(417\) | 22.9969 | − | 8.78402i | 1.12616 | − | 0.430155i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | − | 0.854102i | − | 0.0417256i | −0.999782 | − | 0.0208628i | \(-0.993359\pi\) | ||
0.999782 | − | 0.0208628i | \(-0.00664132\pi\) | |||||||
\(420\) | −1.25679 | + | 0.0637797i | −0.0613251 | + | 0.00311213i | ||||
\(421\) | −15.4894 | + | 11.2537i | −0.754905 | + | 0.548471i | −0.897343 | − | 0.441333i | \(-0.854506\pi\) |
0.142438 | + | 0.989804i | \(0.454506\pi\) | |||||||
\(422\) | 13.4535 | − | 18.5172i | 0.654908 | − | 0.901404i | ||||
\(423\) | 12.5609 | − | 21.5907i | 0.610732 | − | 1.04978i | ||||
\(424\) | −5.42705 | + | 1.76336i | −0.263561 | + | 0.0856361i | ||||
\(425\) | 16.7027 | + | 12.1353i | 0.810202 | + | 0.588646i | ||||
\(426\) | −5.92166 | + | 9.08560i | −0.286905 | + | 0.440199i | ||||
\(427\) | 2.50000 | − | 7.69421i | 0.120983 | − | 0.372349i | ||||
\(428\) | −8.05748 | −0.389473 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −3.09017 | −0.149021 | ||||||||
\(431\) | −1.86936 | + | 5.75329i | −0.0900438 | + | 0.277126i | −0.985930 | − | 0.167157i | \(-0.946541\pi\) |
0.895887 | + | 0.444283i | \(0.146541\pi\) | |||||||
\(432\) | 12.2341 | − | 1.87547i | 0.588615 | − | 0.0902335i | ||||
\(433\) | 4.85410 | + | 3.52671i | 0.233273 | + | 0.169483i | 0.698281 | − | 0.715824i | \(-0.253949\pi\) |
−0.465008 | + | 0.885307i | \(0.653949\pi\) | |||||||
\(434\) | 20.1437 | − | 6.54508i | 0.966929 | − | 0.314174i | ||||
\(435\) | 0.976892 | + | 1.21045i | 0.0468384 | + | 0.0580368i | ||||
\(436\) | −1.70820 | + | 2.35114i | −0.0818081 | + | 0.112599i | ||||
\(437\) | 13.2618 | − | 9.63525i | 0.634397 | − | 0.460917i | ||||
\(438\) | 0.970530 | + | 19.1245i | 0.0463737 | + | 0.913803i | ||||
\(439\) | 2.73466i | 0.130518i | 0.997868 | + | 0.0652590i | \(0.0207874\pi\) | ||||
−0.997868 | + | 0.0652590i | \(0.979213\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 5.52786 | − | 4.94427i | 0.263232 | − | 0.235442i | ||||
\(442\) | 3.45492 | + | 1.12257i | 0.164334 | + | 0.0533952i | ||||
\(443\) | 0.898056 | + | 1.23607i | 0.0426679 | + | 0.0587274i | 0.829818 | − | 0.558034i | \(-0.188444\pi\) |
−0.787150 | + | 0.616762i | \(0.788444\pi\) | |||||||
\(444\) | 0.836305 | − | 3.10059i | 0.0396893 | − | 0.147148i | ||||
\(445\) | 0.0623059 | + | 0.191758i | 0.00295358 | + | 0.00909019i | ||||
\(446\) | 0.640786 | + | 1.97214i | 0.0303421 | + | 0.0933833i | ||||
\(447\) | 5.88055 | − | 21.8021i | 0.278140 | − | 1.03120i | ||||
\(448\) | 15.7533 | + | 21.6825i | 0.744273 | + | 1.02440i | ||||
\(449\) | 26.5236 | + | 8.61803i | 1.25173 | + | 0.406710i | 0.858539 | − | 0.512749i | \(-0.171373\pi\) |
0.393186 | + | 0.919459i | \(0.371373\pi\) | |||||||
\(450\) | −12.7598 | + | 11.4127i | −0.601501 | + | 0.537999i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | − | 1.27051i | − | 0.0597598i | ||||||
\(453\) | 0.491627 | + | 9.68760i | 0.0230987 | + | 0.455163i | ||||
\(454\) | −13.7812 | + | 10.0126i | −0.646782 | + | 0.469914i | ||||
\(455\) | 0.502029 | − | 0.690983i | 0.0235355 | − | 0.0323938i | ||||
\(456\) | 8.80037 | + | 10.9044i | 0.412115 | + | 0.510646i | ||||
\(457\) | −23.8435 | + | 7.74721i | −1.11535 | + | 0.362399i | −0.807991 | − | 0.589195i | \(-0.799445\pi\) |
−0.307359 | + | 0.951594i | \(0.599445\pi\) | |||||||
\(458\) | 14.3844 | + | 10.4508i | 0.672137 | + | 0.488336i | ||||
\(459\) | 21.8454 | − | 3.34885i | 1.01965 | − | 0.156311i | ||||
\(460\) | 0.454915 | − | 1.40008i | 0.0212105 | − | 0.0652793i | ||||
\(461\) | −30.7113 | −1.43037 | −0.715184 | − | 0.698936i | \(-0.753657\pi\) | ||||
−0.715184 | + | 0.698936i | \(0.753657\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 33.2705 | 1.54621 | 0.773106 | − | 0.634277i | \(-0.218702\pi\) | ||||
0.773106 | + | 0.634277i | \(0.218702\pi\) | |||||||
\(464\) | 1.73060 | − | 5.32624i | 0.0803411 | − | 0.247264i | ||||
\(465\) | 2.11475 | − | 3.24466i | 0.0980693 | − | 0.150468i | ||||
\(466\) | −9.20820 | − | 6.69015i | −0.426562 | − | 0.309915i | ||||
\(467\) | 7.27794 | − | 2.36475i | 0.336783 | − | 0.109427i | −0.135743 | − | 0.990744i | \(-0.543342\pi\) |
0.472526 | + | 0.881317i | \(0.343342\pi\) | |||||||
\(468\) | 0.677400 | − | 1.16437i | 0.0313128 | − | 0.0538231i | ||||
\(469\) | −13.2533 | + | 18.2416i | −0.611980 | + | 0.842318i | ||||
\(470\) | −3.02468 | + | 2.19756i | −0.139518 | + | 0.101366i | ||||
\(471\) | −16.7935 | + | 0.852237i | −0.773803 | + | 0.0392690i | ||||
\(472\) | 1.17557i | 0.0541100i | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −7.56231 | + | 2.88854i | −0.347348 | + | 0.132675i | ||||
\(475\) | −12.1353 | − | 3.94298i | −0.556804 | − | 0.180916i | ||||
\(476\) | 4.75528 | + | 6.54508i | 0.217958 | + | 0.299993i | ||||
\(477\) | −0.563102 | − | 5.53373i | −0.0257827 | − | 0.253372i | ||||
\(478\) | 2.80244 | + | 8.62502i | 0.128181 | + | 0.394499i | ||||
\(479\) | −6.18812 | − | 19.0451i | −0.282743 | − | 0.870192i | −0.987066 | − | 0.160313i | \(-0.948750\pi\) |
0.704324 | − | 0.709879i | \(-0.251250\pi\) | |||||||
\(480\) | 2.14316 | + | 0.578061i | 0.0978213 | + | 0.0263848i | ||||
\(481\) | 1.28115 | + | 1.76336i | 0.0584155 | + | 0.0804021i | ||||
\(482\) | 31.1604 | + | 10.1246i | 1.41932 | + | 0.461163i | ||||
\(483\) | 11.8617 | + | 31.0543i | 0.539726 | + | 1.41302i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 1.67376i | 0.0760016i | ||||||||
\(486\) | −1.11050 | + | 18.2917i | −0.0503734 | + | 0.829726i | ||||
\(487\) | −1.19098 | + | 0.865300i | −0.0539686 | + | 0.0392105i | −0.614442 | − | 0.788962i | \(-0.710619\pi\) |
0.560474 | + | 0.828172i | \(0.310619\pi\) | |||||||
\(488\) | −4.75528 | + | 6.54508i | −0.215262 | + | 0.296282i | ||||
\(489\) | −19.7030 | + | 15.9013i | −0.891003 | + | 0.719081i | ||||
\(490\) | −1.05573 | + | 0.343027i | −0.0476929 | + | 0.0154964i | ||||
\(491\) | 14.2986 | + | 10.3885i | 0.645287 | + | 0.468828i | 0.861662 | − | 0.507482i | \(-0.169424\pi\) |
−0.216376 | + | 0.976310i | \(0.569424\pi\) | |||||||
\(492\) | −0.651565 | − | 0.424666i | −0.0293748 | − | 0.0191454i | ||||
\(493\) | 3.09017 | − | 9.51057i | 0.139174 | − | 0.428334i | ||||
\(494\) | −2.24514 | −0.101014 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −13.9443 | −0.626116 | ||||||||
\(497\) | 5.06555 | − | 15.5902i | 0.227221 | − | 0.699315i | ||||
\(498\) | 10.7925 | + | 7.03417i | 0.483624 | + | 0.315209i | ||||
\(499\) | 29.1074 | + | 21.1478i | 1.30303 | + | 0.946704i | 0.999980 | − | 0.00627247i | \(-0.00199660\pi\) |
0.303045 | + | 0.952976i | \(0.401997\pi\) | |||||||
\(500\) | −2.21238 | + | 0.718847i | −0.0989408 | + | 0.0321478i | ||||
\(501\) | 28.4328 | − | 22.9466i | 1.27028 | − | 1.02518i | ||||
\(502\) | −14.0451 | + | 19.3314i | −0.626863 | + | 0.862803i | ||||
\(503\) | −6.88191 | + | 5.00000i | −0.306849 | + | 0.222939i | −0.730543 | − | 0.682866i | \(-0.760733\pi\) |
0.423694 | + | 0.905805i | \(0.360733\pi\) | |||||||
\(504\) | −25.9978 | + | 11.4720i | −1.15803 | + | 0.511003i | ||||
\(505\) | 6.08985i | 0.270995i | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −7.70820 | − | 20.1803i | −0.342333 | − | 0.896240i | ||||
\(508\) | 7.56231 | + | 2.45714i | 0.335523 | + | 0.109018i | ||||
\(509\) | 19.5559 | + | 26.9164i | 0.866801 | + | 1.19305i | 0.979905 | + | 0.199466i | \(0.0639206\pi\) |
−0.113104 | + | 0.993583i | \(0.536079\pi\) | |||||||
\(510\) | −3.19379 | − | 0.861441i | −0.141423 | − | 0.0381453i | ||||
\(511\) | −8.94427 | − | 27.5276i | −0.395671 | − | 1.21775i | ||||
\(512\) | −7.00042 | − | 21.5451i | −0.309378 | − | 0.952167i | ||||
\(513\) | −12.2008 | + | 6.14050i | −0.538679 | + | 0.271110i | ||||
\(514\) | 15.3885 | + | 21.1805i | 0.678760 | + | 0.934232i | ||||
\(515\) | 4.08174 | + | 1.32624i | 0.179863 | + | 0.0584410i | ||||
\(516\) | 6.88191 | − | 2.62866i | 0.302959 | − | 0.115720i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | − | 10.8541i | − | 0.476902i | ||||||
\(519\) | 39.9639 | − | 2.02809i | 1.75422 | − | 0.0890233i | ||||
\(520\) | −0.690983 | + | 0.502029i | −0.0303016 | + | 0.0220154i | ||||
\(521\) | −19.8132 | + | 27.2705i | −0.868031 | + | 1.19474i | 0.111563 | + | 0.993757i | \(0.464414\pi\) |
−0.979594 | + | 0.200985i | \(0.935586\pi\) | |||||||
\(522\) | 7.16714 | + | 4.16965i | 0.313697 | + | 0.182501i | ||||
\(523\) | 19.3713 | − | 6.29412i | 0.847049 | − | 0.275223i | 0.146839 | − | 0.989160i | \(-0.453090\pi\) |
0.700209 | + | 0.713938i | \(0.253090\pi\) | |||||||
\(524\) | −5.20431 | − | 3.78115i | −0.227351 | − | 0.165180i | ||||
\(525\) | 14.1289 | − | 21.6779i | 0.616634 | − | 0.946101i | ||||
\(526\) | 3.31559 | − | 10.2044i | 0.144567 | − | 0.444931i | ||||
\(527\) | −24.8990 | −1.08462 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −15.8885 | −0.690806 | ||||||||
\(530\) | −0.257270 | + | 0.791796i | −0.0111751 | + | 0.0343934i | ||||
\(531\) | −1.12006 | − | 0.241955i | −0.0486066 | − | 0.0105000i | ||||
\(532\) | −4.04508 | − | 2.93893i | −0.175377 | − | 0.127419i | ||||
\(533\) | 0.502029 | − | 0.163119i | 0.0217453 | − | 0.00706547i | ||||
\(534\) | 0.675016 | + | 0.836402i | 0.0292108 | + | 0.0361947i | ||||
\(535\) | −2.92705 | + | 4.02874i | −0.126547 | + | 0.174178i | ||||
\(536\) | 18.2416 | − | 13.2533i | 0.787917 | − | 0.572455i | ||||
\(537\) | 1.22410 | + | 24.1211i | 0.0528239 | + | 1.04090i | ||||
\(538\) | − | 22.0583i | − | 0.951002i | ||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −0.562306 | + | 1.09017i | −0.0241978 | + | 0.0469134i | ||||
\(541\) | −14.5344 | − | 4.72253i | −0.624884 | − | 0.203037i | −0.0205767 | − | 0.999788i | \(-0.506550\pi\) |
−0.604308 | + | 0.796751i | \(0.706550\pi\) | |||||||
\(542\) | 11.7104 | + | 16.1180i | 0.503006 | + | 0.692329i | ||||
\(543\) | −3.50197 | + | 12.9835i | −0.150284 | + | 0.557177i | ||||
\(544\) | −4.40983 | − | 13.5721i | −0.189070 | − | 0.581897i | ||||
\(545\) | 0.555029 | + | 1.70820i | 0.0237748 | + | 0.0731714i | ||||
\(546\) | 1.18567 | − | 4.39587i | 0.0507421 | − | 0.188126i | ||||
\(547\) | −15.7918 | − | 21.7355i | −0.675208 | − | 0.929345i | 0.324656 | − | 0.945832i | \(-0.394752\pi\) |
−0.999864 | + | 0.0164876i | \(0.994752\pi\) | |||||||
\(548\) | 2.76741 | + | 0.899187i | 0.118218 | + | 0.0384114i | ||||
\(549\) | −5.25731 | − | 5.87785i | −0.224377 | − | 0.250861i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 6.18034i | 0.263291i | ||||||||
\(552\) | −1.68483 | − | 33.1999i | −0.0717112 | − | 1.41308i | ||||
\(553\) | 9.89919 | − | 7.19218i | 0.420956 | − | 0.305843i | ||||
\(554\) | 11.2084 | − | 15.4271i | 0.476200 | − | 0.655433i | ||||
\(555\) | −1.24649 | − | 1.54451i | −0.0529106 | − | 0.0655607i | ||||
\(556\) | 8.35410 | − | 2.71441i | 0.354293 | − | 0.115117i | ||||
\(557\) | −0.224514 | − | 0.163119i | −0.00951296 | − | 0.00691157i | 0.583019 | − | 0.812459i | \(-0.301871\pi\) |
−0.592532 | + | 0.805547i | \(0.701871\pi\) | |||||||
\(558\) | 4.35932 | − | 20.1802i | 0.184545 | − | 0.854298i | ||||
\(559\) | −1.54508 | + | 4.75528i | −0.0653501 | + | 0.201127i | ||||
\(560\) | 2.80017 | 0.118329 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 31.3050 | 1.32052 | ||||||||
\(563\) | 0.330515 | − | 1.01722i | 0.0139296 | − | 0.0428708i | −0.943850 | − | 0.330374i | \(-0.892825\pi\) |
0.957780 | + | 0.287503i | \(0.0928252\pi\) | |||||||
\(564\) | 4.86671 | − | 7.46699i | 0.204926 | − | 0.314417i | ||||
\(565\) | −0.635255 | − | 0.461540i | −0.0267254 | − | 0.0194171i | ||||
\(566\) | −23.8949 | + | 7.76393i | −1.00438 | + | 0.326342i | ||||
\(567\) | −5.57946 | − | 27.1314i | −0.234315 | − | 1.13941i | ||||
\(568\) | −9.63525 | + | 13.2618i | −0.404286 | + | 0.556452i | ||||
\(569\) | −16.8415 | + | 12.2361i | −0.706033 | + | 0.512963i | −0.881891 | − | 0.471453i | \(-0.843730\pi\) |
0.175859 | + | 0.984415i | \(0.443730\pi\) | |||||||
\(570\) | 2.04178 | − | 0.103616i | 0.0855208 | − | 0.00434001i | ||||
\(571\) | − | 22.5478i | − | 0.943598i | −0.881706 | − | 0.471799i | \(-0.843605\pi\) | ||
0.881706 | − | 0.471799i | \(-0.156395\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 39.2148 | − | 14.9787i | 1.63822 | − | 0.625745i | ||||
\(574\) | −2.50000 | − | 0.812299i | −0.104348 | − | 0.0339047i | ||||
\(575\) | 17.7926 | + | 24.4894i | 0.742001 | + | 1.02128i | ||||
\(576\) | 25.9904 | − | 2.64474i | 1.08293 | − | 0.110197i | ||||
\(577\) | −2.47214 | − | 7.60845i | −0.102916 | − | 0.316744i | 0.886319 | − | 0.463074i | \(-0.153254\pi\) |
−0.989236 | + | 0.146330i | \(0.953254\pi\) | |||||||
\(578\) | 0.396027 | + | 1.21885i | 0.0164726 | + | 0.0506974i | ||||
\(579\) | 16.4780 | + | 4.44453i | 0.684804 | + | 0.184708i | ||||
\(580\) | 0.326238 | + | 0.449028i | 0.0135463 | + | 0.0186449i | ||||
\(581\) | −18.5191 | − | 6.01722i | −0.768302 | − | 0.249636i | ||||
\(582\) | 3.18368 | + | 8.33499i | 0.131968 | + | 0.345497i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 28.9443i | 1.19772i | ||||||||
\(585\) | −0.336106 | − | 0.761683i | −0.0138963 | − | 0.0314917i | ||||
\(586\) | −13.2533 | + | 9.62908i | −0.547488 | + | 0.397774i | ||||
\(587\) | 7.02067 | − | 9.66312i | 0.289774 | − | 0.398840i | −0.639167 | − | 0.769068i | \(-0.720721\pi\) |
0.928941 | + | 0.370229i | \(0.120721\pi\) | |||||||
\(588\) | 2.05934 | − | 1.66199i | 0.0849260 | − | 0.0685392i | ||||
\(589\) | 14.6353 | − | 4.75528i | 0.603035 | − | 0.195938i | ||||
\(590\) | 0.138757 | + | 0.100813i | 0.00571255 | + | 0.00415041i | ||||
\(591\) | 12.4972 | + | 8.14524i | 0.514068 | + | 0.335051i | ||||
\(592\) | −2.20820 | + | 6.79615i | −0.0907566 | + | 0.279320i | ||||
\(593\) | 7.33094 | 0.301046 | 0.150523 | − | 0.988607i | \(-0.451904\pi\) | ||||
0.150523 | + | 0.988607i | \(0.451904\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 5.00000 | 0.204980 | ||||||||
\(596\) | 2.48990 | − | 7.66312i | 0.101990 | − | 0.313894i | ||||
\(597\) | 3.24466 | + | 2.11475i | 0.132795 | + | 0.0865510i | ||||
\(598\) | 4.30902 | + | 3.13068i | 0.176209 | + | 0.128023i | ||||
\(599\) | 20.6457 | − | 6.70820i | 0.843562 | − | 0.274090i | 0.144815 | − | 0.989459i | \(-0.453741\pi\) |
0.698747 | + | 0.715369i | \(0.253741\pi\) | |||||||
\(600\) | −20.1362 | + | 16.2508i | −0.822056 | + | 0.663438i | ||||
\(601\) | −10.9549 | + | 15.0781i | −0.446860 | + | 0.615050i | −0.971719 | − | 0.236139i | \(-0.924118\pi\) |
0.524859 | + | 0.851189i | \(0.324118\pi\) | |||||||
\(602\) | 20.1437 | − | 14.6353i | 0.820996 | − | 0.596488i | ||||
\(603\) | 8.87303 | + | 20.1080i | 0.361338 | + | 0.818863i | ||||
\(604\) | 3.46120i | 0.140834i | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 11.5836 | + | 30.3262i | 0.470551 | + | 1.23192i | ||||
\(607\) | −35.2254 | − | 11.4454i | −1.42976 | − | 0.464556i | −0.511068 | − | 0.859540i | \(-0.670750\pi\) |
−0.918688 | + | 0.394984i | \(0.870750\pi\) | |||||||
\(608\) | 5.18407 | + | 7.13525i | 0.210242 | + | 0.289373i | ||||
\(609\) | −12.1008 | − | 3.26388i | −0.490349 | − | 0.132259i | ||||
\(610\) | 0.364745 | + | 1.12257i | 0.0147681 | + | 0.0454515i | ||||
\(611\) | 1.86936 | + | 5.75329i | 0.0756261 | + | 0.232753i | ||||
\(612\) | 7.84545 | − | 0.798339i | 0.317134 | − | 0.0322709i | ||||
\(613\) | 22.3607 | + | 30.7768i | 0.903139 | + | 1.24306i | 0.969456 | + | 0.245266i | \(0.0788753\pi\) |
−0.0663165 | + | 0.997799i | \(0.521125\pi\) | |||||||
\(614\) | 10.6331 | + | 3.45492i | 0.429118 | + | 0.139429i | ||||
\(615\) | −0.449028 | + | 0.171513i | −0.0181066 | + | 0.00691609i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | − | 15.7639i | − | 0.634632i | −0.948320 | − | 0.317316i | \(-0.897218\pi\) | ||
0.948320 | − | 0.317316i | \(-0.102782\pi\) | |||||||
\(618\) | 22.8489 | − | 1.15954i | 0.919117 | − | 0.0466434i | ||||
\(619\) | 11.6631 | − | 8.47375i | 0.468780 | − | 0.340589i | −0.328185 | − | 0.944613i | \(-0.606437\pi\) |
0.796966 | + | 0.604024i | \(0.206437\pi\) | |||||||
\(620\) | 0.812299 | − | 1.11803i | 0.0326227 | − | 0.0449013i | ||||
\(621\) | 31.9791 | + | 5.22790i | 1.28328 | + | 0.209789i | ||||
\(622\) | −5.59017 | + | 1.81636i | −0.224145 | + | 0.0728293i | ||||
\(623\) | −1.31433 | − | 0.954915i | −0.0526574 | − | 0.0382579i | ||||
\(624\) | −1.63671 | + | 2.51120i | −0.0655207 | + | 0.100528i | ||||
\(625\) | 7.05573 | − | 21.7153i | 0.282229 | − | 0.868612i | ||||
\(626\) | 12.9313 | 0.516838 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −6.00000 | −0.239426 | ||||||||
\(629\) | −3.94298 | + | 12.1353i | −0.157217 | + | 0.483864i | ||||
\(630\) | −0.875402 | + | 4.05242i | −0.0348768 | + | 0.161452i | ||||
\(631\) | −35.1525 | − | 25.5398i | −1.39940 | − | 1.01672i | −0.994759 | − | 0.102246i | \(-0.967397\pi\) |
−0.404639 | − | 0.914477i | \(-0.632603\pi\) | |||||||
\(632\) | −11.6372 | + | 3.78115i | −0.462903 | + | 0.150406i | ||||
\(633\) | 21.1794 | + | 26.2430i | 0.841804 | + | 1.04307i | ||||
\(634\) | 2.92705 | − | 4.02874i | 0.116248 | − | 0.160002i | ||||
\(635\) | 3.97574 | − | 2.88854i | 0.157772 | − | 0.114628i | ||||
\(636\) | −0.100593 | − | 1.98220i | −0.00398877 | − | 0.0785995i | ||||
\(637\) | 1.79611i | 0.0711645i | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −10.6525 | − | 11.9098i | −0.421405 | − | 0.471146i | ||||
\(640\) | −1.28115 | − | 0.416272i | −0.0506420 | − | 0.0164546i | ||||
\(641\) | −6.55139 | − | 9.01722i | −0.258765 | − | 0.356159i | 0.659792 | − | 0.751448i | \(-0.270644\pi\) |
−0.918557 | + | 0.395289i | \(0.870644\pi\) | |||||||
\(642\) | −6.91300 | + | 25.6299i | −0.272834 | + | 1.01153i | ||||
\(643\) | 5.89919 | + | 18.1558i | 0.232641 | + | 0.715996i | 0.997426 | + | 0.0717097i | \(0.0228455\pi\) |
−0.764784 | + | 0.644286i | \(0.777154\pi\) | |||||||
\(644\) | 3.66547 | + | 11.2812i | 0.144440 | + | 0.444540i | ||||
\(645\) | 1.18567 | − | 4.39587i | 0.0466858 | − | 0.173087i | ||||
\(646\) | −7.72542 | − | 10.6331i | −0.303953 | − | 0.418355i | ||||
\(647\) | 23.9277 | + | 7.77458i | 0.940694 | + | 0.305650i | 0.738929 | − | 0.673784i | \(-0.235332\pi\) |
0.201766 | + | 0.979434i | \(0.435332\pi\) | |||||||
\(648\) | −3.07768 | + | 27.5276i | −0.120903 | + | 1.08139i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | − | 4.14590i | − | 0.162615i | ||||||
\(651\) | 1.58163 | + | 31.1664i | 0.0619891 | + | 1.22151i | ||||
\(652\) | −7.30902 | + | 5.31031i | −0.286243 | + | 0.207968i | ||||
\(653\) | 24.6012 | − | 33.8607i | 0.962720 | − | 1.32507i | 0.0170808 | − | 0.999854i | \(-0.494563\pi\) |
0.945640 | − | 0.325217i | \(-0.105437\pi\) | |||||||
\(654\) | 6.01313 | + | 7.45078i | 0.235132 | + | 0.291349i | ||||
\(655\) | −3.78115 | + | 1.22857i | −0.147742 | + | 0.0480042i | ||||
\(656\) | 1.40008 | + | 1.01722i | 0.0546641 | + | 0.0397158i | ||||
\(657\) | −27.5776 | − | 5.95729i | −1.07590 | − | 0.232416i | ||||
\(658\) | 9.30902 | − | 28.6502i | 0.362903 | − | 1.11690i | ||||
\(659\) | −3.59222 | −0.139933 | −0.0699666 | − | 0.997549i | \(-0.522289\pi\) | ||||
−0.0699666 | + | 0.997549i | \(0.522289\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −23.4508 | −0.912132 | −0.456066 | − | 0.889946i | \(-0.650742\pi\) | ||||
−0.456066 | + | 0.889946i | \(0.650742\pi\) | |||||||
\(662\) | 4.68204 | − | 14.4098i | 0.181973 | − | 0.560054i | ||||
\(663\) | −2.92252 | + | 4.48401i | −0.113501 | + | 0.174145i | ||||
\(664\) | 15.7533 | + | 11.4454i | 0.611346 | + | 0.444169i | ||||
\(665\) | −2.93893 | + | 0.954915i | −0.113967 | + | 0.0370300i | ||||
\(666\) | −9.14510 | − | 5.32037i | −0.354365 | − | 0.206160i | ||||
\(667\) | 8.61803 | − | 11.8617i | 0.333692 | − | 0.459287i | ||||
\(668\) | 10.5474 | − | 7.66312i | 0.408090 | − | 0.296495i | ||||
\(669\) | −3.05129 | + | 0.154847i | −0.117970 | + | 0.00598674i | ||||
\(670\) | − | 3.28969i | − | 0.127092i | ||||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −16.7082 | + | 6.38197i | −0.644533 | + | 0.246190i | ||||
\(673\) | −9.83688 | − | 3.19620i | −0.379184 | − | 0.123204i | 0.113223 | − | 0.993570i | \(-0.463883\pi\) |
−0.492407 | + | 0.870365i | \(0.663883\pi\) | |||||||
\(674\) | −17.3965 | − | 23.9443i | −0.670089 | − | 0.922299i | ||||
\(675\) | −11.3391 | − | 22.5301i | −0.436442 | − | 0.867185i | ||||
\(676\) | −2.38197 | − | 7.33094i | −0.0916141 | − | 0.281959i | ||||
\(677\) | −9.16754 | − | 28.2148i | −0.352337 | − | 1.08438i | −0.957537 | − | 0.288309i | \(-0.906907\pi\) |
0.605200 | − | 0.796073i | \(-0.293093\pi\) | |||||||
\(678\) | −4.04134 | − | 1.09005i | −0.155207 | − | 0.0418630i | ||||
\(679\) | −7.92705 | − | 10.9106i | −0.304212 | − | 0.418712i | ||||
\(680\) | −4.75528 | − | 1.54508i | −0.182357 | − | 0.0592513i | ||||
\(681\) | −8.95554 | − | 23.4459i | −0.343177 | − | 0.898449i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | − | 9.00000i | − | 0.344375i | −0.985064 | − | 0.172188i | \(-0.944916\pi\) | ||
0.985064 | − | 0.172188i | \(-0.0550836\pi\) | |||||||
\(684\) | −4.45897 | + | 1.96760i | −0.170493 | + | 0.0752331i | ||||
\(685\) | 1.45492 | − | 1.05706i | 0.0555894 | − | 0.0403881i | ||||
\(686\) | −9.62908 | + | 13.2533i | −0.367640 | + | 0.506013i | ||||
\(687\) | −20.3858 | + | 16.4523i | −0.777768 | + | 0.627696i | ||||
\(688\) | −15.5902 | + | 5.06555i | −0.594370 | + | 0.193122i | ||||
\(689\) | 1.08981 | + | 0.791796i | 0.0415186 | + | 0.0301650i | ||||
\(690\) | −4.06320 | − | 2.64825i | −0.154684 | − | 0.100817i | ||||
\(691\) | −3.20163 | + | 9.85359i | −0.121796 | + | 0.374848i | −0.993304 | − | 0.115533i | \(-0.963142\pi\) |
0.871508 | + | 0.490381i | \(0.163142\pi\) | |||||||
\(692\) | 14.2784 | 0.542782 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 8.54102 | 0.324213 | ||||||||
\(695\) | 1.67760 | − | 5.16312i | 0.0636350 | − | 0.195848i | ||||
\(696\) | 10.4999 | + | 6.84348i | 0.397999 | + | 0.259401i | ||||
\(697\) | 2.50000 | + | 1.81636i | 0.0946943 | + | 0.0687994i | ||||
\(698\) | 15.1967 | − | 4.93769i | 0.575202 | − | 0.186894i | ||||
\(699\) | 13.0501 | − | 10.5320i | 0.493599 | − | 0.398358i | ||||
\(700\) | 5.42705 | − | 7.46969i | 0.205123 | − | 0.282328i | ||||
\(701\) | −12.5352 | + | 9.10739i | −0.473450 | + | 0.343981i | −0.798784 | − | 0.601618i | \(-0.794523\pi\) |
0.325334 | + | 0.945599i | \(0.394523\pi\) | |||||||
\(702\) | −3.12255 | − | 3.15372i | −0.117853 | − | 0.119029i | ||||
\(703\) | − | 7.88597i | − | 0.297425i | ||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −1.96556 | − | 5.14590i | −0.0740272 | − | 0.193806i | ||||
\(706\) | 37.5623 | + | 12.2047i | 1.41368 | + | 0.459331i | ||||
\(707\) | −28.8420 | − | 39.6976i | −1.08471 | − | 1.49298i | ||||
\(708\) | −0.394774 | − | 0.106480i | −0.0148365 | − | 0.00400176i | ||||
\(709\) | −6.33688 | − | 19.5029i | −0.237987 | − | 0.732447i | −0.996711 | − | 0.0810358i | \(-0.974177\pi\) |
0.758725 | − | 0.651411i | \(-0.225823\pi\) | |||||||
\(710\) | 0.739054 | + | 2.27458i | 0.0277362 | + | 0.0853633i | ||||
\(711\) | −1.20746 | − | 11.8659i | −0.0452832 | − | 0.445008i | ||||
\(712\) | 0.954915 | + | 1.31433i | 0.0357870 | + | 0.0492565i | ||||
\(713\) | −34.7198 | − | 11.2812i | −1.30027 | − | 0.422482i | ||||
\(714\) | 24.8990 | − | 9.51057i | 0.931821 | − | 0.355924i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 8.61803i | 0.322071i | ||||||||
\(717\) | −13.3447 | + | 0.677215i | −0.498365 | + | 0.0252911i | ||||
\(718\) | −30.3262 | + | 22.0333i | −1.13177 | + | 0.822276i | ||||
\(719\) | −17.7068 | + | 24.3713i | −0.660352 | + | 0.908897i | −0.999493 | − | 0.0318387i | \(-0.989864\pi\) |
0.339141 | + | 0.940736i | \(0.389864\pi\) | |||||||
\(720\) | 1.37256 | − | 2.35928i | 0.0511524 | − | 0.0879251i | ||||
\(721\) | −32.8885 | + | 10.6861i | −1.22483 | + | 0.397972i | ||||
\(722\) | −11.4984 | − | 8.35410i | −0.427927 | − | 0.310907i | ||||
\(723\) | −26.3586 | + | 40.4419i | −0.980285 | + | 1.50405i | ||||
\(724\) | −1.48278 | + | 4.56352i | −0.0551071 | + | 0.169602i | ||||
\(725\) | −11.4127 | −0.423856 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −27.8541 | −1.03305 | −0.516526 | − | 0.856272i | \(-0.672775\pi\) | ||||
−0.516526 | + | 0.856272i | \(0.672775\pi\) | |||||||
\(728\) | 2.12663 | − | 6.54508i | 0.0788180 | − | 0.242577i | ||||
\(729\) | −25.5944 | − | 8.59808i | −0.947941 | − | 0.318447i | ||||
\(730\) | 3.41641 | + | 2.48217i | 0.126447 | + | 0.0918691i | ||||
\(731\) | −27.8379 | + | 9.04508i | −1.02962 | + | 0.334545i | ||||
\(732\) | −1.76721 | − | 2.18973i | −0.0653181 | − | 0.0809347i | ||||
\(733\) | 27.6869 | − | 38.1078i | 1.02264 | − | 1.40754i | 0.112303 | − | 0.993674i | \(-0.464177\pi\) |
0.910337 | − | 0.413869i | \(-0.135823\pi\) | |||||||
\(734\) | −22.8051 | + | 16.5689i | −0.841752 | + | 0.611569i | ||||
\(735\) | −0.0828931 | − | 1.63342i | −0.00305756 | − | 0.0602498i | ||||
\(736\) | − | 20.9232i | − | 0.771241i | ||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −1.90983 | + | 1.70820i | −0.0703018 | + | 0.0628799i | ||||
\(739\) | −12.9271 | − | 4.20025i | −0.475529 | − | 0.154509i | 0.0614397 | − | 0.998111i | \(-0.480431\pi\) |
−0.536969 | + | 0.843602i | \(0.680431\pi\) | |||||||
\(740\) | −0.416272 | − | 0.572949i | −0.0153025 | − | 0.0210620i | ||||
\(741\) | 0.861441 | − | 3.19379i | 0.0316458 | − | 0.117327i | ||||
\(742\) | −2.07295 | − | 6.37988i | −0.0761004 | − | 0.234213i | ||||
\(743\) | 9.07405 | + | 27.9271i | 0.332895 | + | 1.02454i | 0.967750 | + | 0.251913i | \(0.0810597\pi\) |
−0.634855 | + | 0.772631i | \(0.718940\pi\) | |||||||
\(744\) | 8.12672 | − | 30.1297i | 0.297940 | − | 1.10461i | ||||
\(745\) | −2.92705 | − | 4.02874i | −0.107239 | − | 0.147602i | ||||
\(746\) | −30.5851 | − | 9.93769i | −1.11980 | − | 0.363845i | ||||
\(747\) | −14.1473 | + | 12.6538i | −0.517624 | + | 0.462977i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | − | 40.1246i | − | 1.46612i | ||||||
\(750\) | 0.388429 | + | 7.65407i | 0.0141834 | + | 0.279487i | ||||
\(751\) | 11.7812 | − | 8.55951i | 0.429900 | − | 0.312341i | −0.351709 | − | 0.936109i | \(-0.614399\pi\) |
0.781609 | + | 0.623769i | \(0.214399\pi\) | |||||||
\(752\) | −11.6574 | + | 16.0451i | −0.425103 | + | 0.585104i | ||||
\(753\) | −22.1106 | − | 27.3969i | −0.805754 | − | 0.998398i | ||||
\(754\) | −1.90983 | + | 0.620541i | −0.0695519 | + | 0.0225988i | ||||
\(755\) | 1.73060 | + | 1.25735i | 0.0629830 | + | 0.0457598i | ||||
\(756\) | −1.49765 | − | 9.76954i | −0.0544690 | − | 0.355315i | ||||
\(757\) | 3.36475 | − | 10.3556i | 0.122294 | − | 0.376381i | −0.871105 | − | 0.491098i | \(-0.836596\pi\) |
0.993398 | + | 0.114716i | \(0.0365958\pi\) | |||||||
\(758\) | 3.39569 | 0.123337 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 3.09017 | 0.112092 | ||||||||
\(761\) | −10.2496 | + | 31.5451i | −0.371548 | + | 1.14351i | 0.574229 | + | 0.818694i | \(0.305302\pi\) |
−0.945778 | + | 0.324814i | \(0.894698\pi\) | |||||||
\(762\) | 14.3040 | − | 21.9467i | 0.518181 | − | 0.795044i | ||||
\(763\) | −11.7082 | − | 8.50651i | −0.423865 | − | 0.307956i | ||||
\(764\) | 14.2456 | − | 4.62868i | 0.515388 | − | 0.167460i | ||||
\(765\) | 2.45086 | − | 4.21274i | 0.0886110 | − | 0.152312i | ||||
\(766\) | −8.57953 | + | 11.8087i | −0.309991 | + | 0.426666i | ||||
\(767\) | 0.224514 | − | 0.163119i | 0.00810673 | − | 0.00588988i | ||||
\(768\) | 22.9557 | − | 1.16496i | 0.828341 | − | 0.0420367i | ||||
\(769\) | 30.7113i | 1.10748i | 0.832690 | + | 0.553739i | \(0.186800\pi\) | ||||
−0.832690 | + | 0.553739i | \(0.813200\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −36.0344 | + | 13.7639i | −1.29775 | + | 0.495696i | ||||
\(772\) | 5.79180 | + | 1.88187i | 0.208451 | + | 0.0677299i | ||||
\(773\) | −26.9399 | − | 37.0795i | −0.968959 | − | 1.33366i | −0.942571 | − | 0.334006i | \(-0.891599\pi\) |
−0.0263883 | − | 0.999652i | \(-0.508401\pi\) | |||||||
\(774\) | −2.45703 | − | 24.1458i | −0.0883163 | − | 0.867904i | ||||
\(775\) | 8.78115 | + | 27.0256i | 0.315428 | + | 0.970789i | ||||
\(776\) | 4.16750 | + | 12.8262i | 0.149604 | + | 0.460435i | ||||
\(777\) | 15.4403 | + | 4.16463i | 0.553918 | + | 0.149405i | ||||
\(778\) | 5.10081 | + | 7.02067i | 0.182873 | + | 0.251703i | ||||
\(779\) | −1.81636 | − | 0.590170i | −0.0650777 | − | 0.0211450i | ||||
\(780\) | −0.106001 | − | 0.277515i | −0.00379545 | − | 0.00993661i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 31.1803i | 1.11501i | ||||||||
\(783\) | −8.68144 | + | 8.59564i | −0.310249 | + | 0.307183i | ||||
\(784\) | −4.76393 | + | 3.46120i | −0.170140 | + | 0.123614i | ||||
\(785\) | −2.17963 | + | 3.00000i | −0.0777942 | + | 0.107075i | ||||
\(786\) | −16.4925 | + | 13.3102i | −0.588268 | + | 0.474760i | ||||
\(787\) | −2.96556 | + | 0.963568i | −0.105711 | + | 0.0343475i | −0.361395 | − | 0.932413i | \(-0.617699\pi\) |
0.255684 | + | 0.966760i | \(0.417699\pi\) | |||||||
\(788\) | 4.30625 | + | 3.12868i | 0.153404 | + | 0.111455i | ||||
\(789\) | 13.2439 | + | 8.63187i | 0.471494 | + | 0.307303i | ||||
\(790\) | −0.551663 | + | 1.69784i | −0.0196273 | + | 0.0604066i | ||||
\(791\) | 6.32688 | 0.224958 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 1.90983 | 0.0678201 | ||||||||
\(794\) | −8.35524 | + | 25.7148i | −0.296516 | + | 0.912583i | ||||
\(795\) | −1.02764 | − | 0.669781i | −0.0364468 | − | 0.0237547i | ||||
\(796\) | 1.11803 | + | 0.812299i | 0.0396277 | + | 0.0287912i | ||||
\(797\) | 34.3035 | − | 11.1459i | 1.21509 | − | 0.394808i | 0.369801 | − | 0.929111i | \(-0.379426\pi\) |
0.845293 | + | 0.534303i | \(0.179426\pi\) | |||||||
\(798\) | −12.8189 | + | 10.3455i | −0.453784 | + | 0.366225i | ||||
\(799\) | −20.8156 | + | 28.6502i | −0.736403 | + | 1.01357i | ||||
\(800\) | −13.1760 | + | 9.57295i | −0.465843 | + | 0.338455i | ||||
\(801\) | −1.44881 | + | 0.639312i | −0.0511911 | + | 0.0225890i | ||||
\(802\) | 32.7445i | 1.15625i | ||||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 2.79837 | + | 7.32624i | 0.0986910 | + | 0.258376i | ||||
\(805\) | 6.97214 | + | 2.26538i | 0.245736 | + | 0.0798443i | ||||
\(806\) | 2.93893 | + | 4.04508i | 0.103519 | + | 0.142482i | ||||
\(807\) | 31.3787 | + | 8.46359i | 1.10458 | + | 0.297933i | ||||
\(808\) | 15.1631 | + | 46.6673i | 0.533437 | + | 1.64175i | ||||
\(809\) | 6.62464 | + | 20.3885i | 0.232910 | + | 0.716823i | 0.997392 | + | 0.0721778i | \(0.0229949\pi\) |
−0.764482 | + | 0.644645i | \(0.777005\pi\) | |||||||
\(810\) | 2.98526 | + | 2.72395i | 0.104892 | + | 0.0957099i | ||||
\(811\) | −12.2984 | − | 16.9273i | −0.431854 | − | 0.594396i | 0.536523 | − | 0.843886i | \(-0.319737\pi\) |
−0.968378 | + | 0.249489i | \(0.919737\pi\) | |||||||
\(812\) | −4.25325 | − | 1.38197i | −0.149260 | − | 0.0484975i | ||||
\(813\) | −27.4216 | + | 10.4741i | −0.961719 | + | 0.367344i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 5.58359i | 0.195585i | ||||||||
\(816\) | −17.5250 | + | 0.889362i | −0.613499 | + | 0.0311339i | ||||
\(817\) | 14.6353 | − | 10.6331i | 0.512023 | − | 0.372006i | ||||
\(818\) | 14.6214 | − | 20.1246i | 0.511225 | − | 0.703641i | ||||
\(819\) | 5.79834 | + | 3.37332i | 0.202610 | + | 0.117873i | ||||
\(820\) | −0.163119 | + | 0.0530006i | −0.00569636 | + | 0.00185086i | ||||
\(821\) | −37.6260 | − | 27.3369i | −1.31316 | − | 0.954064i | −0.999990 | − | 0.00436519i | \(-0.998611\pi\) |
−0.313166 | − | 0.949699i | \(-0.601389\pi\) | |||||||
\(822\) | 5.23454 | − | 8.03134i | 0.182575 | − | 0.280125i | ||||
\(823\) | 8.07295 | − | 24.8460i | 0.281405 | − | 0.866076i | −0.706048 | − | 0.708164i | \(-0.749524\pi\) |
0.987453 | − | 0.157912i | \(-0.0504763\pi\) | |||||||
\(824\) | 34.5811 | 1.20469 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −1.38197 | −0.0480847 | ||||||||
\(827\) | −8.05748 | + | 24.7984i | −0.280186 | + | 0.862324i | 0.707614 | + | 0.706599i | \(0.249771\pi\) |
−0.987800 | + | 0.155725i | \(0.950229\pi\) | |||||||
\(828\) | 11.3016 | + | 2.44137i | 0.392758 | + | 0.0848434i | ||||
\(829\) | 4.26393 | + | 3.09793i | 0.148092 | + | 0.107595i | 0.659364 | − | 0.751824i | \(-0.270825\pi\) |
−0.511272 | + | 0.859419i | \(0.670825\pi\) | |||||||
\(830\) | 2.70190 | − | 0.877901i | 0.0937843 | − | 0.0304724i | ||||
\(831\) | 17.6449 | + | 21.8636i | 0.612096 | + | 0.758439i | ||||
\(832\) | −3.71885 | + | 5.11855i | −0.128928 | + | 0.177454i | ||||
\(833\) | −8.50651 | + | 6.18034i | −0.294733 | + | 0.214136i | ||||
\(834\) | −1.46673 | − | 28.9023i | −0.0507888 | − | 1.00080i | ||||
\(835\) | − | 8.05748i | − | 0.278841i | ||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 27.0344 | + | 13.9443i | 0.934447 | + | 0.481985i | ||||
\(838\) | −0.954915 | − | 0.310271i | −0.0329870 | − | 0.0107181i | ||||
\(839\) | 0.971301 | + | 1.33688i | 0.0335330 | + | 0.0461543i | 0.825454 | − | 0.564469i | \(-0.190919\pi\) |
−0.791921 | + | 0.610623i | \(0.790919\pi\) | |||||||
\(840\) | −1.63194 | + | 6.05040i | −0.0563072 | + | 0.208758i | ||||
\(841\) | −7.25329 | − | 22.3233i | −0.250113 | − | 0.769770i | ||||
\(842\) | 6.95515 | + | 21.4058i | 0.239690 | + | 0.737691i | ||||
\(843\) | −12.0114 | + | 44.5323i | −0.413696 | + | 1.53378i | ||||
\(844\) | 7.07295 | + | 9.73508i | 0.243461 | + | 0.335095i | ||||
\(845\) | −4.53077 | − | 1.47214i | −0.155863 | − | 0.0506430i | ||||
\(846\) | −19.5762 | − | 21.8868i | −0.673042 | − | 0.752484i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 4.41641i | 0.151660i | ||||||||
\(849\) | −1.87617 | − | 36.9703i | −0.0643900 | − | 1.26882i | ||||
\(850\) | 19.6353 | − | 14.2658i | 0.673484 | − | 0.489315i | ||||
\(851\) | −10.9964 | + | 15.1353i | −0.376952 | + | 0.518830i | ||||
\(852\) | −3.58077 | − | 4.43688i | −0.122675 | − | 0.152005i | ||||
\(853\) | 0.892609 | − | 0.290026i | 0.0305624 | − | 0.00993031i | −0.293696 | − | 0.955899i | \(-0.594885\pi\) |
0.324258 | + | 0.945969i | \(0.394885\pi\) | |||||||
\(854\) | −7.69421 | − | 5.59017i | −0.263290 | − | 0.191292i | ||||
\(855\) | −0.636016 | + | 2.94426i | −0.0217513 | + | 0.100692i | ||||
\(856\) | −12.3992 | + | 38.1608i | −0.423795 | + | 1.30431i | ||||
\(857\) | 34.9646 | 1.19437 | 0.597184 | − | 0.802105i | \(-0.296286\pi\) | ||||
0.597184 | + | 0.802105i | \(0.296286\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 43.4721 | 1.48325 | 0.741625 | − | 0.670815i | \(-0.234055\pi\) | ||||
0.741625 | + | 0.670815i | \(0.234055\pi\) | |||||||
\(860\) | 0.502029 | − | 1.54508i | 0.0171190 | − | 0.0526870i | ||||
\(861\) | 2.11475 | − | 3.24466i | 0.0720705 | − | 0.110578i | ||||
\(862\) | 5.75329 | + | 4.18001i | 0.195958 | + | 0.142372i | ||||
\(863\) | −1.06957 | + | 0.347524i | −0.0364086 | + | 0.0118299i | −0.327165 | − | 0.944967i | \(-0.606093\pi\) |
0.290756 | + | 0.956797i | \(0.406093\pi\) | |||||||
\(864\) | −2.81277 | + | 17.2057i | −0.0956925 | + | 0.585351i | ||||
\(865\) | 5.18692 | − | 7.13918i | 0.176360 | − | 0.242739i | ||||
\(866\) | 5.70634 | − | 4.14590i | 0.193909 | − | 0.140883i | ||||
\(867\) | −1.88580 | + | 0.0957008i | −0.0640452 | + | 0.00325017i | ||||
\(868\) | 11.1352i | 0.377952i | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 1.70820 | − | 0.652476i | 0.0579135 | − | 0.0221210i | ||||
\(871\) | −5.06231 | − | 1.64484i | −0.171530 | − | 0.0557334i | ||||
\(872\) | 8.50651 | + | 11.7082i | 0.288067 | + | 0.396490i | ||||
\(873\) | −13.0784 | + | 1.33083i | −0.442635 | + | 0.0450418i | ||||
\(874\) | −5.95492 | − | 18.3273i | −0.201428 | − | 0.619932i | ||||
\(875\) | −3.57971 | − | 11.0172i | −0.121016 | − | 0.372450i | ||||
\(876\) | −9.71991 | − | 2.62169i | −0.328405 | − | 0.0885788i | ||||
\(877\) | −20.2254 | − | 27.8379i | −0.682964 | − | 0.940019i | 0.317001 | − | 0.948425i | \(-0.397324\pi\) |
−0.999965 | + | 0.00840594i | \(0.997324\pi\) | |||||||
\(878\) | 3.05744 | + | 0.993422i | 0.103184 | + | 0.0335264i | ||||
\(879\) | −8.61251 | − | 22.5478i | −0.290493 | − | 0.760520i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 29.9230i | − | 1.00813i | −0.863665 | − | 0.504066i | \(-0.831837\pi\) | ||
0.863665 | − | 0.504066i | \(-0.168163\pi\) | |||||||
\(882\) | −3.51975 | − | 7.97645i | −0.118516 | − | 0.268581i | ||||
\(883\) | 32.5066 | − | 23.6174i | 1.09393 | − | 0.794789i | 0.113874 | − | 0.993495i | \(-0.463674\pi\) |
0.980059 | + | 0.198706i | \(0.0636739\pi\) | |||||||
\(884\) | −1.12257 | + | 1.54508i | −0.0377561 | + | 0.0519668i | ||||
\(885\) | −0.196650 | + | 0.158706i | −0.00661032 | + | 0.00533483i | ||||
\(886\) | 1.70820 | − | 0.555029i | 0.0573882 | − | 0.0186466i | ||||
\(887\) | 11.2739 | + | 8.19098i | 0.378541 | + | 0.275026i | 0.760744 | − | 0.649052i | \(-0.224834\pi\) |
−0.382203 | + | 0.924079i | \(0.624834\pi\) | |||||||
\(888\) | −13.3977 | − | 8.73212i | −0.449597 | − | 0.293031i | ||||
\(889\) | −12.2361 | + | 37.6587i | −0.410385 | + | 1.26303i | ||||
\(890\) | 0.237026 | 0.00794512 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −1.09017 | −0.0365016 | ||||||||
\(893\) | 6.76340 | − | 20.8156i | 0.226328 | − | 0.696567i | ||||
\(894\) | −22.2392 | − | 14.4947i | −0.743791 | − | 0.484776i | ||||
\(895\) | 4.30902 | + | 3.13068i | 0.144035 | + | 0.104647i | ||||
\(896\) | 10.3229 | − | 3.35410i | 0.344863 | − | 0.112053i | ||||
\(897\) | −6.10684 | + | 4.92850i | −0.203901 | + | 0.164558i | ||||
\(898\) | 19.2705 | − | 26.5236i | 0.643065 | − | 0.885103i | ||||
\(899\) | 11.1352 | − | 8.09017i | 0.371379 | − | 0.269822i | ||||
\(900\) | −3.63339 | − | 8.23398i | −0.121113 | − | 0.274466i | ||||
\(901\) | 7.88597i | 0.262720i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 13.0902 | + | 34.2705i | 0.435614 | + | 1.14045i | ||||
\(904\) | −6.01722 | − | 1.95511i | −0.200130 | − | 0.0650261i | ||||
\(905\) | 1.74311 | + | 2.39919i | 0.0579430 | + | 0.0797517i | ||||
\(906\) | 11.0097 | + | 2.96957i | 0.365772 | + | 0.0986574i | ||||
\(907\) | −9.70163 | − | 29.8585i | −0.322137 | − | 0.991436i | −0.972716 | − | 0.231998i | \(-0.925474\pi\) |
0.650579 | − | 0.759439i | \(-0.274526\pi\) | |||||||
\(908\) | −2.76741 | − | 8.51722i | −0.0918398 | − | 0.282654i | ||||
\(909\) | −47.5846 | + | 4.84212i | −1.57828 | + | 0.160603i | ||||
\(910\) | −0.590170 | − | 0.812299i | −0.0195639 | − | 0.0269275i | ||||
\(911\) | −30.1688 | − | 9.80244i | −0.999537 | − | 0.324769i | −0.236857 | − | 0.971545i | \(-0.576117\pi\) |
−0.762681 | + | 0.646775i | \(0.776117\pi\) | |||||||
\(912\) | 10.1311 | − | 3.86974i | 0.335474 | − | 0.128140i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 29.4721i | 0.974852i | ||||||||
\(915\) | −1.73684 | + | 0.0881414i | −0.0574183 | + | 0.00291386i | ||||
\(916\) | −7.56231 | + | 5.49434i | −0.249866 | + | 0.181538i | ||||
\(917\) | 18.8294 | − | 25.9164i | 0.621801 | − | 0.855835i | ||||
\(918\) | 4.19167 | − | 25.6404i | 0.138346 | − | 0.846259i | ||||
\(919\) | 44.1074 | − | 14.3314i | 1.45497 | − | 0.472748i | 0.528439 | − | 0.848971i | \(-0.322777\pi\) |
0.926529 | + | 0.376223i | \(0.122777\pi\) | |||||||
\(920\) | −5.93085 | − | 4.30902i | −0.195534 | − | 0.142064i | ||||
\(921\) | −8.99458 | + | 13.8004i | −0.296381 | + | 0.454738i | ||||
\(922\) | −11.1565 | + | 34.3363i | −0.367421 | + | 1.13081i | ||||
\(923\) | 3.86974 | 0.127374 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 14.5623 | 0.478806 | ||||||||
\(926\) | 12.0862 | − | 37.1976i | 0.397178 | − | 1.22239i | ||||
\(927\) | −7.11745 | + | 32.9482i | −0.233768 | + | 1.08216i | ||||
\(928\) | 6.38197 | + | 4.63677i | 0.209498 | + | 0.152209i | ||||
\(929\) | −30.7238 | + | 9.98278i | −1.00802 | + | 0.327524i | −0.766064 | − | 0.642764i | \(-0.777788\pi\) |
−0.241952 | + | 0.970288i | \(0.577788\pi\) | |||||||
\(930\) | −2.85941 | − | 3.54306i | −0.0937638 | − | 0.116181i | ||||
\(931\) | 3.81966 | − | 5.25731i | 0.125184 | − | 0.172301i | ||||
\(932\) | 4.84104 | − | 3.51722i | 0.158574 | − | 0.115210i | ||||
\(933\) | −0.438926 | − | 8.64912i | −0.0143698 | − | 0.283160i | ||||
\(934\) | − | 8.99602i | − | 0.294359i | ||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −4.47214 | − | 5.00000i | −0.146176 | − | 0.163430i | ||||
\(937\) | 34.7599 | + | 11.2942i | 1.13556 | + | 0.368964i | 0.815685 | − | 0.578497i | \(-0.196361\pi\) |
0.319871 | + | 0.947461i | \(0.396361\pi\) | |||||||
\(938\) | 15.5802 | + | 21.4443i | 0.508711 | + | 0.700180i | ||||
\(939\) | −4.96162 | + | 18.3952i | −0.161916 | + | 0.600304i | ||||
\(940\) | −0.607391 | − | 1.86936i | −0.0198109 | − | 0.0609717i | ||||
\(941\) | −11.0619 | − | 34.0451i | −0.360608 | − | 1.10984i | −0.952686 | − | 0.303957i | \(-0.901692\pi\) |
0.592078 | − | 0.805881i | \(-0.298308\pi\) | |||||||
\(942\) | −5.14776 | + | 19.0853i | −0.167723 | + | 0.621832i | ||||
\(943\) | 2.66312 | + | 3.66547i | 0.0867231 | + | 0.119364i | ||||
\(944\) | 0.865300 | + | 0.281153i | 0.0281631 | + | 0.00915075i | ||||
\(945\) | −5.42882 | − | 2.80017i | −0.176600 | − | 0.0910895i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | − | 17.1459i | − | 0.557167i | −0.960412 | − | 0.278583i | \(-0.910135\pi\) | ||
0.960412 | − | 0.278583i | \(-0.0898649\pi\) | |||||||
\(948\) | −0.215701 | − | 4.25043i | −0.00700564 | − | 0.138047i | ||||
\(949\) | 5.52786 | − | 4.01623i | 0.179442 | − | 0.130372i | ||||
\(950\) | −8.81678 | + | 12.1353i | −0.286054 | + | 0.393720i | ||||
\(951\) | 4.60793 | + | 5.70962i | 0.149422 | + | 0.185147i | ||||
\(952\) | 38.3156 | − | 12.4495i | 1.24182 | − | 0.403490i | ||||
\(953\) | −3.24920 | − | 2.36068i | −0.105252 | − | 0.0764699i | 0.533914 | − | 0.845539i | \(-0.320720\pi\) |
−0.639166 | + | 0.769069i | \(0.720720\pi\) | |||||||
\(954\) | −6.39146 | − | 1.38068i | −0.206931 | − | 0.0447011i | ||||
\(955\) | 2.86068 | − | 8.80427i | 0.0925694 | − | 0.284899i | ||||
\(956\) | −4.76779 | −0.154201 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −23.5410 | −0.760576 | ||||||||
\(959\) | −4.47777 | + | 13.7812i | −0.144595 | + | 0.445017i | ||||
\(960\) | 3.14578 | − | 4.82656i | 0.101529 | − | 0.155777i | ||||
\(961\) | −2.64590 | − | 1.92236i | −0.0853515 | − | 0.0620115i | ||||
\(962\) | 2.43690 | − | 0.791796i | 0.0785687 | − | 0.0255285i | ||||
\(963\) | −33.8069 | − | 19.6679i | −1.08941 | − | 0.633791i | ||||
\(964\) | −10.1246 | + | 13.9353i | −0.326092 | + | 0.448827i | ||||
\(965\) | 3.04493 | − | 2.21227i | 0.0980197 | − | 0.0712155i | ||||
\(966\) | 39.0288 | − | 1.98064i | 1.25573 | − | 0.0637260i | ||||
\(967\) | − | 12.9313i | − | 0.415842i | −0.978146 | − | 0.207921i | \(-0.933330\pi\) | ||
0.978146 | − | 0.207921i | \(-0.0666697\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 18.0902 | − | 6.90983i | 0.581140 | − | 0.221976i | ||||
\(970\) | 1.87132 | + | 0.608030i | 0.0600846 | + | 0.0195227i | ||||
\(971\) | 4.80828 | + | 6.61803i | 0.154305 | + | 0.212383i | 0.879170 | − | 0.476508i | \(-0.158098\pi\) |
−0.724865 | + | 0.688891i | \(0.758098\pi\) | |||||||
\(972\) | −8.96541 | − | 3.52691i | −0.287566 | − | 0.113126i | ||||
\(973\) | 13.5172 | + | 41.6017i | 0.433342 | + | 1.33369i | ||||
\(974\) | 0.534785 | + | 1.64590i | 0.0171356 | + | 0.0527380i | ||||
\(975\) | 5.89768 | + | 1.59075i | 0.188877 | + | 0.0509447i | ||||
\(976\) | 3.68034 | + | 5.06555i | 0.117805 | + | 0.162144i | ||||
\(977\) | 32.3889 | + | 10.5238i | 1.03621 | + | 0.336686i | 0.777244 | − | 0.629199i | \(-0.216617\pi\) |
0.258969 | + | 0.965886i | \(0.416617\pi\) | |||||||
\(978\) | 10.6206 | + | 27.8052i | 0.339610 | + | 0.889111i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | − | 0.583592i | − | 0.0186422i | ||||||
\(981\) | −12.9062 | + | 5.69507i | −0.412062 | + | 0.181830i | ||||
\(982\) | 16.8090 | − | 12.2125i | 0.536397 | − | 0.389715i | ||||
\(983\) | −33.6830 | + | 46.3607i | −1.07432 | + | 1.47868i | −0.208698 | + | 0.977980i | \(0.566922\pi\) |
−0.865623 | + | 0.500696i | \(0.833078\pi\) | |||||||
\(984\) | −3.01390 | + | 2.43236i | −0.0960797 | + | 0.0775409i | ||||
\(985\) | 3.12868 | − | 1.01657i | 0.0996879 | − | 0.0323906i | ||||
\(986\) | −9.51057 | − | 6.90983i | −0.302878 | − | 0.220054i | ||||
\(987\) | 37.1841 | + | 24.2352i | 1.18358 | + | 0.771416i | ||||
\(988\) | 0.364745 | − | 1.12257i | 0.0116041 | − | 0.0357137i | ||||
\(989\) | −42.9161 | −1.36465 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −12.5623 | −0.399055 | −0.199527 | − | 0.979892i | \(-0.563941\pi\) | ||||
−0.199527 | + | 0.979892i | \(0.563941\pi\) | |||||||
\(992\) | 6.06961 | − | 18.6803i | 0.192710 | − | 0.593101i | ||||
\(993\) | 18.7020 | + | 12.1893i | 0.593490 | + | 0.386815i | ||||
\(994\) | −15.5902 | − | 11.3269i | −0.494490 | − | 0.359268i | ||||
\(995\) | 0.812299 | − | 0.263932i | 0.0257516 | − | 0.00836721i | ||||
\(996\) | −5.27043 | + | 4.25349i | −0.167000 | + | 0.134777i | ||||
\(997\) | 8.65654 | − | 11.9147i | 0.274155 | − | 0.377343i | −0.649632 | − | 0.760249i | \(-0.725077\pi\) |
0.923787 | + | 0.382907i | \(0.125077\pi\) | |||||||
\(998\) | 34.2178 | − | 24.8607i | 1.08315 | − | 0.786951i | ||||
\(999\) | 11.0773 | − | 10.9678i | 0.350470 | − | 0.347007i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))