Properties

Label 418.2.j.c.177.3
Level $418$
Weight $2$
Character 418.177
Analytic conductor $3.338$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [418,2,Mod(23,418)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(418, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([0, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("418.23");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 418 = 2 \cdot 11 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 418.j (of order \(9\), degree \(6\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.33774680449\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(5\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 177.3
Character \(\chi\) \(=\) 418.177
Dual form 418.2.j.c.111.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.766044 + 0.642788i) q^{2} +(0.0916892 + 0.0333721i) q^{3} +(0.173648 - 0.984808i) q^{4} +(0.327930 + 1.85978i) q^{5} +(-0.0916892 + 0.0333721i) q^{6} +(1.90575 - 3.30086i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-2.29084 - 1.92224i) q^{9} +O(q^{10})\) \(q+(-0.766044 + 0.642788i) q^{2} +(0.0916892 + 0.0333721i) q^{3} +(0.173648 - 0.984808i) q^{4} +(0.327930 + 1.85978i) q^{5} +(-0.0916892 + 0.0333721i) q^{6} +(1.90575 - 3.30086i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-2.29084 - 1.92224i) q^{9} +(-1.44665 - 1.21389i) q^{10} +(-0.500000 - 0.866025i) q^{11} +(0.0487868 - 0.0845012i) q^{12} +(5.98997 - 2.18017i) q^{13} +(0.661862 + 3.75360i) q^{14} +(-0.0319973 + 0.181466i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(1.94515 - 1.63217i) q^{17} +2.99048 q^{18} +(-4.20704 + 1.14052i) q^{19} +1.88847 q^{20} +(0.284894 - 0.239054i) q^{21} +(0.939693 + 0.342020i) q^{22} +(-0.793315 + 4.49911i) q^{23} +(0.0169435 + 0.0960912i) q^{24} +(1.34721 - 0.490346i) q^{25} +(-3.18720 + 5.52039i) q^{26} +(-0.292256 - 0.506203i) q^{27} +(-2.91979 - 2.44999i) q^{28} +(1.50678 + 1.26434i) q^{29} +(-0.0921325 - 0.159578i) q^{30} +(5.05123 - 8.74899i) q^{31} +(0.939693 - 0.342020i) q^{32} +(-0.0169435 - 0.0960912i) q^{33} +(-0.440930 + 2.50064i) q^{34} +(6.76384 + 2.46184i) q^{35} +(-2.29084 + 1.92224i) q^{36} +6.50021 q^{37} +(2.48967 - 3.57792i) q^{38} +0.621972 q^{39} +(-1.44665 + 1.21389i) q^{40} +(1.11539 + 0.405970i) q^{41} +(-0.0645802 + 0.366253i) q^{42} +(1.68574 + 9.56031i) q^{43} +(-0.939693 + 0.342020i) q^{44} +(2.82372 - 4.89082i) q^{45} +(-2.28426 - 3.95645i) q^{46} +(0.109958 + 0.0922654i) q^{47} +(-0.0747457 - 0.0627191i) q^{48} +(-3.76380 - 6.51910i) q^{49} +(-0.716838 + 1.24160i) q^{50} +(0.232818 - 0.0847389i) q^{51} +(-1.10690 - 6.27755i) q^{52} +(0.608258 - 3.44961i) q^{53} +(0.549262 + 0.199915i) q^{54} +(1.44665 - 1.21389i) q^{55} +3.81151 q^{56} +(-0.423802 - 0.0358251i) q^{57} -1.96697 q^{58} +(-7.12694 + 5.98022i) q^{59} +(0.173152 + 0.0630223i) q^{60} +(-1.16067 + 6.58249i) q^{61} +(1.75427 + 9.94899i) q^{62} +(-10.7108 + 3.89843i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(6.01893 + 10.4251i) q^{65} +(0.0747457 + 0.0627191i) q^{66} +(-7.20133 - 6.04263i) q^{67} +(-1.26961 - 2.19902i) q^{68} +(-0.222883 + 0.386045i) q^{69} +(-6.76384 + 2.46184i) q^{70} +(-1.64786 - 9.34546i) q^{71} +(0.519291 - 2.94505i) q^{72} +(-3.40484 - 1.23926i) q^{73} +(-4.97945 + 4.17826i) q^{74} +0.139889 q^{75} +(0.392643 + 4.34118i) q^{76} -3.81151 q^{77} +(-0.476458 + 0.399796i) q^{78} +(0.796961 + 0.290070i) q^{79} +(0.327930 - 1.85978i) q^{80} +(1.54797 + 8.77898i) q^{81} +(-1.11539 + 0.405970i) q^{82} +(1.00797 - 1.74586i) q^{83} +(-0.185951 - 0.322077i) q^{84} +(3.67336 + 3.08232i) q^{85} +(-7.43660 - 6.24005i) q^{86} +(0.0959619 + 0.166211i) q^{87} +(0.500000 - 0.866025i) q^{88} +(2.33291 - 0.849108i) q^{89} +(0.980667 + 5.56164i) q^{90} +(4.21897 - 23.9269i) q^{91} +(4.29300 + 1.56253i) q^{92} +(0.755116 - 0.633617i) q^{93} -0.143539 q^{94} +(-3.50072 - 7.45017i) q^{95} +0.0975736 q^{96} +(-11.3250 + 9.50281i) q^{97} +(7.07363 + 2.57459i) q^{98} +(-0.519291 + 2.94505i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30 q - 12 q^{7} + 15 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 30 q - 12 q^{7} + 15 q^{8} - 15 q^{11} + 3 q^{12} - 3 q^{13} + 9 q^{14} + 27 q^{15} - 36 q^{18} - 9 q^{19} + 18 q^{20} - 27 q^{21} - 3 q^{23} - 12 q^{25} + 3 q^{27} + 9 q^{28} + 3 q^{29} + 9 q^{30} + 30 q^{31} - 9 q^{34} + 15 q^{35} + 18 q^{37} + 6 q^{38} - 6 q^{41} - 45 q^{42} + 39 q^{43} - 18 q^{45} + 21 q^{46} + 45 q^{47} - 33 q^{49} + 36 q^{50} - 36 q^{51} + 6 q^{52} - 24 q^{53} + 45 q^{54} - 24 q^{56} - 24 q^{57} - 30 q^{58} + 3 q^{59} - 9 q^{60} - 27 q^{61} + 15 q^{62} - 93 q^{63} - 15 q^{64} + 18 q^{65} - 9 q^{67} - 21 q^{68} + 48 q^{69} - 15 q^{70} + 39 q^{73} + 3 q^{74} - 42 q^{75} - 15 q^{76} + 24 q^{77} + 6 q^{78} + 21 q^{79} + 84 q^{81} + 6 q^{82} - 36 q^{83} - 27 q^{84} + 63 q^{85} + 6 q^{86} - 21 q^{87} + 15 q^{88} + 54 q^{89} + 12 q^{90} + 3 q^{91} - 3 q^{92} + 51 q^{93} - 78 q^{94} + 6 q^{95} + 6 q^{96} - 18 q^{97} + 3 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).

\(n\) \(287\) \(343\)
\(\chi(n)\) \(e\left(\frac{7}{9}\right)\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.766044 + 0.642788i −0.541675 + 0.454519i
\(3\) 0.0916892 + 0.0333721i 0.0529368 + 0.0192674i 0.368353 0.929686i \(-0.379922\pi\)
−0.315416 + 0.948953i \(0.602144\pi\)
\(4\) 0.173648 0.984808i 0.0868241 0.492404i
\(5\) 0.327930 + 1.85978i 0.146655 + 0.831719i 0.966024 + 0.258453i \(0.0832128\pi\)
−0.819369 + 0.573266i \(0.805676\pi\)
\(6\) −0.0916892 + 0.0333721i −0.0374319 + 0.0136241i
\(7\) 1.90575 3.30086i 0.720308 1.24761i −0.240569 0.970632i \(-0.577334\pi\)
0.960876 0.276977i \(-0.0893327\pi\)
\(8\) 0.500000 + 0.866025i 0.176777 + 0.306186i
\(9\) −2.29084 1.92224i −0.763613 0.640748i
\(10\) −1.44665 1.21389i −0.457472 0.383864i
\(11\) −0.500000 0.866025i −0.150756 0.261116i
\(12\) 0.0487868 0.0845012i 0.0140835 0.0243934i
\(13\) 5.98997 2.18017i 1.66132 0.604671i 0.670750 0.741684i \(-0.265973\pi\)
0.990569 + 0.137013i \(0.0437503\pi\)
\(14\) 0.661862 + 3.75360i 0.176890 + 1.00319i
\(15\) −0.0319973 + 0.181466i −0.00826166 + 0.0468542i
\(16\) −0.939693 0.342020i −0.234923 0.0855050i
\(17\) 1.94515 1.63217i 0.471768 0.395861i −0.375671 0.926753i \(-0.622588\pi\)
0.847439 + 0.530893i \(0.178143\pi\)
\(18\) 2.99048 0.704863
\(19\) −4.20704 + 1.14052i −0.965162 + 0.261652i
\(20\) 1.88847 0.422275
\(21\) 0.284894 0.239054i 0.0621690 0.0521659i
\(22\) 0.939693 + 0.342020i 0.200343 + 0.0729189i
\(23\) −0.793315 + 4.49911i −0.165418 + 0.938130i 0.783215 + 0.621751i \(0.213578\pi\)
−0.948633 + 0.316379i \(0.897533\pi\)
\(24\) 0.0169435 + 0.0960912i 0.00345857 + 0.0196145i
\(25\) 1.34721 0.490346i 0.269443 0.0980692i
\(26\) −3.18720 + 5.52039i −0.625061 + 1.08264i
\(27\) −0.292256 0.506203i −0.0562447 0.0974187i
\(28\) −2.91979 2.44999i −0.551788 0.463005i
\(29\) 1.50678 + 1.26434i 0.279803 + 0.234782i 0.771879 0.635770i \(-0.219317\pi\)
−0.492076 + 0.870552i \(0.663762\pi\)
\(30\) −0.0921325 0.159578i −0.0168210 0.0291348i
\(31\) 5.05123 8.74899i 0.907228 1.57137i 0.0893302 0.996002i \(-0.471527\pi\)
0.817898 0.575363i \(-0.195139\pi\)
\(32\) 0.939693 0.342020i 0.166116 0.0604612i
\(33\) −0.0169435 0.0960912i −0.00294948 0.0167273i
\(34\) −0.440930 + 2.50064i −0.0756188 + 0.428856i
\(35\) 6.76384 + 2.46184i 1.14330 + 0.416126i
\(36\) −2.29084 + 1.92224i −0.381807 + 0.320374i
\(37\) 6.50021 1.06863 0.534314 0.845286i \(-0.320570\pi\)
0.534314 + 0.845286i \(0.320570\pi\)
\(38\) 2.48967 3.57792i 0.403878 0.580416i
\(39\) 0.621972 0.0995953
\(40\) −1.44665 + 1.21389i −0.228736 + 0.191932i
\(41\) 1.11539 + 0.405970i 0.174195 + 0.0634019i 0.427645 0.903947i \(-0.359343\pi\)
−0.253450 + 0.967348i \(0.581565\pi\)
\(42\) −0.0645802 + 0.366253i −0.00996494 + 0.0565140i
\(43\) 1.68574 + 9.56031i 0.257073 + 1.45793i 0.790695 + 0.612210i \(0.209719\pi\)
−0.533622 + 0.845723i \(0.679169\pi\)
\(44\) −0.939693 + 0.342020i −0.141664 + 0.0515615i
\(45\) 2.82372 4.89082i 0.420935 0.729081i
\(46\) −2.28426 3.95645i −0.336796 0.583347i
\(47\) 0.109958 + 0.0922654i 0.0160390 + 0.0134583i 0.650772 0.759273i \(-0.274445\pi\)
−0.634733 + 0.772732i \(0.718890\pi\)
\(48\) −0.0747457 0.0627191i −0.0107886 0.00905272i
\(49\) −3.76380 6.51910i −0.537686 0.931299i
\(50\) −0.716838 + 1.24160i −0.101376 + 0.175589i
\(51\) 0.232818 0.0847389i 0.0326011 0.0118658i
\(52\) −1.10690 6.27755i −0.153500 0.870540i
\(53\) 0.608258 3.44961i 0.0835507 0.473840i −0.914109 0.405468i \(-0.867109\pi\)
0.997660 0.0683716i \(-0.0217804\pi\)
\(54\) 0.549262 + 0.199915i 0.0747451 + 0.0272050i
\(55\) 1.44665 1.21389i 0.195067 0.163680i
\(56\) 3.81151 0.509334
\(57\) −0.423802 0.0358251i −0.0561339 0.00474515i
\(58\) −1.96697 −0.258275
\(59\) −7.12694 + 5.98022i −0.927849 + 0.778558i −0.975430 0.220310i \(-0.929293\pi\)
0.0475809 + 0.998867i \(0.484849\pi\)
\(60\) 0.173152 + 0.0630223i 0.0223539 + 0.00813615i
\(61\) −1.16067 + 6.58249i −0.148609 + 0.842801i 0.815790 + 0.578348i \(0.196303\pi\)
−0.964399 + 0.264453i \(0.914809\pi\)
\(62\) 1.75427 + 9.94899i 0.222793 + 1.26352i
\(63\) −10.7108 + 3.89843i −1.34944 + 0.491156i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) 6.01893 + 10.4251i 0.746556 + 1.29307i
\(66\) 0.0747457 + 0.0627191i 0.00920056 + 0.00772019i
\(67\) −7.20133 6.04263i −0.879782 0.738225i 0.0863523 0.996265i \(-0.472479\pi\)
−0.966134 + 0.258040i \(0.916923\pi\)
\(68\) −1.26961 2.19902i −0.153962 0.266671i
\(69\) −0.222883 + 0.386045i −0.0268320 + 0.0464744i
\(70\) −6.76384 + 2.46184i −0.808433 + 0.294246i
\(71\) −1.64786 9.34546i −0.195565 1.10910i −0.911612 0.411051i \(-0.865162\pi\)
0.716048 0.698051i \(-0.245949\pi\)
\(72\) 0.519291 2.94505i 0.0611991 0.347077i
\(73\) −3.40484 1.23926i −0.398507 0.145045i 0.134989 0.990847i \(-0.456900\pi\)
−0.533496 + 0.845802i \(0.679122\pi\)
\(74\) −4.97945 + 4.17826i −0.578850 + 0.485713i
\(75\) 0.139889 0.0161530
\(76\) 0.392643 + 4.34118i 0.0450393 + 0.497967i
\(77\) −3.81151 −0.434362
\(78\) −0.476458 + 0.399796i −0.0539483 + 0.0452680i
\(79\) 0.796961 + 0.290070i 0.0896651 + 0.0326354i 0.386463 0.922305i \(-0.373697\pi\)
−0.296798 + 0.954940i \(0.595919\pi\)
\(80\) 0.327930 1.85978i 0.0366636 0.207930i
\(81\) 1.54797 + 8.77898i 0.171997 + 0.975442i
\(82\) −1.11539 + 0.405970i −0.123175 + 0.0448319i
\(83\) 1.00797 1.74586i 0.110639 0.191633i −0.805389 0.592747i \(-0.798043\pi\)
0.916028 + 0.401114i \(0.131377\pi\)
\(84\) −0.185951 0.322077i −0.0202890 0.0351415i
\(85\) 3.67336 + 3.08232i 0.398432 + 0.334324i
\(86\) −7.43660 6.24005i −0.801909 0.672882i
\(87\) 0.0959619 + 0.166211i 0.0102882 + 0.0178197i
\(88\) 0.500000 0.866025i 0.0533002 0.0923186i
\(89\) 2.33291 0.849108i 0.247288 0.0900053i −0.215403 0.976525i \(-0.569106\pi\)
0.462690 + 0.886520i \(0.346884\pi\)
\(90\) 0.980667 + 5.56164i 0.103371 + 0.586248i
\(91\) 4.21897 23.9269i 0.442268 2.50823i
\(92\) 4.29300 + 1.56253i 0.447577 + 0.162905i
\(93\) 0.755116 0.633617i 0.0783019 0.0657031i
\(94\) −0.143539 −0.0148050
\(95\) −3.50072 7.45017i −0.359167 0.764372i
\(96\) 0.0975736 0.00995856
\(97\) −11.3250 + 9.50281i −1.14988 + 0.964864i −0.999717 0.0237975i \(-0.992424\pi\)
−0.150163 + 0.988661i \(0.547980\pi\)
\(98\) 7.07363 + 2.57459i 0.714545 + 0.260073i
\(99\) −0.519291 + 2.94505i −0.0521907 + 0.295988i
\(100\) −0.248955 1.41189i −0.0248955 0.141189i
\(101\) −4.20377 + 1.53005i −0.418291 + 0.152245i −0.542587 0.840000i \(-0.682555\pi\)
0.124296 + 0.992245i \(0.460333\pi\)
\(102\) −0.123880 + 0.214567i −0.0122660 + 0.0212453i
\(103\) −6.80077 11.7793i −0.670099 1.16065i −0.977876 0.209187i \(-0.932918\pi\)
0.307776 0.951459i \(-0.400415\pi\)
\(104\) 4.88307 + 4.09738i 0.478824 + 0.401781i
\(105\) 0.538014 + 0.451447i 0.0525048 + 0.0440568i
\(106\) 1.75141 + 3.03353i 0.170112 + 0.294643i
\(107\) 2.13916 3.70513i 0.206800 0.358189i −0.743904 0.668286i \(-0.767028\pi\)
0.950705 + 0.310097i \(0.100362\pi\)
\(108\) −0.549262 + 0.199915i −0.0528528 + 0.0192368i
\(109\) 2.23033 + 12.6488i 0.213627 + 1.21154i 0.883273 + 0.468859i \(0.155335\pi\)
−0.669646 + 0.742680i \(0.733554\pi\)
\(110\) −0.327930 + 1.85978i −0.0312669 + 0.177323i
\(111\) 0.595999 + 0.216926i 0.0565697 + 0.0205897i
\(112\) −2.91979 + 2.44999i −0.275894 + 0.231502i
\(113\) −14.6855 −1.38150 −0.690748 0.723096i \(-0.742719\pi\)
−0.690748 + 0.723096i \(0.742719\pi\)
\(114\) 0.347679 0.244971i 0.0325631 0.0229436i
\(115\) −8.62752 −0.804520
\(116\) 1.50678 1.26434i 0.139901 0.117391i
\(117\) −17.9129 6.51976i −1.65605 0.602752i
\(118\) 1.61555 9.16222i 0.148723 0.843451i
\(119\) −1.68061 9.53120i −0.154061 0.873724i
\(120\) −0.173152 + 0.0630223i −0.0158066 + 0.00575312i
\(121\) −0.500000 + 0.866025i −0.0454545 + 0.0787296i
\(122\) −3.34202 5.78854i −0.302572 0.524070i
\(123\) 0.0887214 + 0.0744461i 0.00799974 + 0.00671258i
\(124\) −7.73894 6.49374i −0.694977 0.583155i
\(125\) 6.07491 + 10.5220i 0.543356 + 0.941120i
\(126\) 5.69912 9.87117i 0.507718 0.879393i
\(127\) −10.9636 + 3.99041i −0.972859 + 0.354092i −0.779060 0.626950i \(-0.784303\pi\)
−0.193799 + 0.981041i \(0.562081\pi\)
\(128\) −0.173648 0.984808i −0.0153485 0.0870455i
\(129\) −0.164484 + 0.932834i −0.0144820 + 0.0821314i
\(130\) −11.3119 4.11719i −0.992118 0.361101i
\(131\) 1.95549 1.64085i 0.170852 0.143361i −0.553353 0.832947i \(-0.686652\pi\)
0.724204 + 0.689586i \(0.242207\pi\)
\(132\) −0.0975736 −0.00849269
\(133\) −4.25291 + 16.0604i −0.368774 + 1.39262i
\(134\) 9.40066 0.812094
\(135\) 0.845587 0.709532i 0.0727765 0.0610668i
\(136\) 2.38608 + 0.868462i 0.204605 + 0.0744700i
\(137\) 2.46682 13.9900i 0.210754 1.19525i −0.677369 0.735643i \(-0.736880\pi\)
0.888124 0.459605i \(-0.152009\pi\)
\(138\) −0.0774066 0.438995i −0.00658929 0.0373697i
\(139\) −12.1689 + 4.42911i −1.03215 + 0.375673i −0.801900 0.597458i \(-0.796177\pi\)
−0.230252 + 0.973131i \(0.573955\pi\)
\(140\) 3.59896 6.23359i 0.304168 0.526834i
\(141\) 0.00700283 + 0.0121293i 0.000589745 + 0.00102147i
\(142\) 7.26948 + 6.09982i 0.610041 + 0.511885i
\(143\) −4.88307 4.09738i −0.408343 0.342640i
\(144\) 1.49524 + 2.58983i 0.124603 + 0.215819i
\(145\) −1.85728 + 3.21690i −0.154239 + 0.267149i
\(146\) 3.40484 1.23926i 0.281787 0.102562i
\(147\) −0.127544 0.723337i −0.0105196 0.0596598i
\(148\) 1.12875 6.40146i 0.0927827 0.526197i
\(149\) 16.3487 + 5.95045i 1.33934 + 0.487480i 0.909604 0.415475i \(-0.136385\pi\)
0.429735 + 0.902955i \(0.358607\pi\)
\(150\) −0.107161 + 0.0899188i −0.00874967 + 0.00734184i
\(151\) 0.263312 0.0214280 0.0107140 0.999943i \(-0.496590\pi\)
0.0107140 + 0.999943i \(0.496590\pi\)
\(152\) −3.09124 3.07315i −0.250733 0.249265i
\(153\) −7.59346 −0.613895
\(154\) 2.91979 2.44999i 0.235283 0.197426i
\(155\) 17.9277 + 6.52513i 1.43998 + 0.524111i
\(156\) 0.108004 0.612523i 0.00864727 0.0490411i
\(157\) 1.39555 + 7.91458i 0.111377 + 0.631652i 0.988480 + 0.151350i \(0.0483619\pi\)
−0.877103 + 0.480302i \(0.840527\pi\)
\(158\) −0.796961 + 0.290070i −0.0634028 + 0.0230767i
\(159\) 0.170891 0.295993i 0.0135526 0.0234737i
\(160\) 0.944236 + 1.63546i 0.0746484 + 0.129295i
\(161\) 13.3391 + 11.1928i 1.05127 + 0.882119i
\(162\) −6.82883 5.73007i −0.536524 0.450197i
\(163\) 0.447912 + 0.775807i 0.0350832 + 0.0607659i 0.883034 0.469309i \(-0.155497\pi\)
−0.847951 + 0.530075i \(0.822164\pi\)
\(164\) 0.593489 1.02795i 0.0463437 0.0802696i
\(165\) 0.173152 0.0630223i 0.0134799 0.00490628i
\(166\) 0.350066 + 1.98532i 0.0271704 + 0.154091i
\(167\) −3.24570 + 18.4073i −0.251159 + 1.42440i 0.554582 + 0.832129i \(0.312878\pi\)
−0.805742 + 0.592267i \(0.798233\pi\)
\(168\) 0.349474 + 0.127198i 0.0269625 + 0.00981355i
\(169\) 21.1680 17.7621i 1.62831 1.36631i
\(170\) −4.79523 −0.367777
\(171\) 11.8300 + 5.47422i 0.904664 + 0.418624i
\(172\) 9.70779 0.740212
\(173\) 12.0834 10.1392i 0.918683 0.770867i −0.0550676 0.998483i \(-0.517537\pi\)
0.973751 + 0.227616i \(0.0730930\pi\)
\(174\) −0.180349 0.0656418i −0.0136723 0.00497629i
\(175\) 0.948895 5.38145i 0.0717297 0.406799i
\(176\) 0.173648 + 0.984808i 0.0130892 + 0.0742327i
\(177\) −0.853036 + 0.310480i −0.0641181 + 0.0233371i
\(178\) −1.24131 + 2.15002i −0.0930404 + 0.161151i
\(179\) 5.99015 + 10.3752i 0.447725 + 0.775482i 0.998238 0.0593446i \(-0.0189011\pi\)
−0.550513 + 0.834827i \(0.685568\pi\)
\(180\) −4.32619 3.63010i −0.322455 0.270572i
\(181\) 5.66704 + 4.75521i 0.421228 + 0.353452i 0.828630 0.559797i \(-0.189121\pi\)
−0.407402 + 0.913249i \(0.633565\pi\)
\(182\) 12.1480 + 21.0410i 0.900472 + 1.55966i
\(183\) −0.326093 + 0.564809i −0.0241055 + 0.0417519i
\(184\) −4.29300 + 1.56253i −0.316485 + 0.115191i
\(185\) 2.13161 + 12.0890i 0.156719 + 0.888799i
\(186\) −0.171171 + 0.970758i −0.0125509 + 0.0711794i
\(187\) −2.38608 0.868462i −0.174487 0.0635082i
\(188\) 0.109958 0.0922654i 0.00801948 0.00672915i
\(189\) −2.22787 −0.162054
\(190\) 7.47059 + 3.45694i 0.541974 + 0.250793i
\(191\) 1.64578 0.119084 0.0595421 0.998226i \(-0.481036\pi\)
0.0595421 + 0.998226i \(0.481036\pi\)
\(192\) −0.0747457 + 0.0627191i −0.00539431 + 0.00452636i
\(193\) −4.52044 1.64531i −0.325389 0.118432i 0.174161 0.984717i \(-0.444279\pi\)
−0.499549 + 0.866285i \(0.666501\pi\)
\(194\) 2.56717 14.5591i 0.184312 1.04529i
\(195\) 0.203963 + 1.15673i 0.0146061 + 0.0828353i
\(196\) −7.07363 + 2.57459i −0.505260 + 0.183899i
\(197\) −12.3680 + 21.4220i −0.881184 + 1.52626i −0.0311583 + 0.999514i \(0.509920\pi\)
−0.850026 + 0.526741i \(0.823414\pi\)
\(198\) −1.49524 2.58983i −0.106262 0.184051i
\(199\) 13.7970 + 11.5771i 0.978044 + 0.820677i 0.983793 0.179307i \(-0.0573855\pi\)
−0.00574880 + 0.999983i \(0.501830\pi\)
\(200\) 1.09826 + 0.921549i 0.0776587 + 0.0651634i
\(201\) −0.458628 0.794367i −0.0323491 0.0560303i
\(202\) 2.23678 3.87422i 0.157379 0.272589i
\(203\) 7.04498 2.56416i 0.494460 0.179969i
\(204\) −0.0430231 0.243996i −0.00301222 0.0170831i
\(205\) −0.389245 + 2.20752i −0.0271860 + 0.154180i
\(206\) 12.7813 + 4.65200i 0.890513 + 0.324120i
\(207\) 10.4657 8.78181i 0.727420 0.610378i
\(208\) −6.37439 −0.441985
\(209\) 3.09124 + 3.07315i 0.213825 + 0.212574i
\(210\) −0.702327 −0.0484652
\(211\) 12.8029 10.7429i 0.881390 0.739574i −0.0850744 0.996375i \(-0.527113\pi\)
0.966464 + 0.256801i \(0.0826683\pi\)
\(212\) −3.29158 1.19804i −0.226066 0.0822814i
\(213\) 0.160787 0.911870i 0.0110170 0.0624803i
\(214\) 0.742923 + 4.21332i 0.0507851 + 0.288017i
\(215\) −17.2273 + 6.27022i −1.17489 + 0.427625i
\(216\) 0.292256 0.506203i 0.0198855 0.0344427i
\(217\) −19.2528 33.3469i −1.30697 2.26373i
\(218\) −9.83905 8.25595i −0.666385 0.559163i
\(219\) −0.270831 0.227254i −0.0183010 0.0153564i
\(220\) −0.944236 1.63546i −0.0636604 0.110263i
\(221\) 8.09297 14.0174i 0.544392 0.942915i
\(222\) −0.595999 + 0.216926i −0.0400008 + 0.0145591i
\(223\) −0.905358 5.13454i −0.0606272 0.343834i −1.00000 0.000935254i \(-0.999702\pi\)
0.939372 0.342899i \(-0.111409\pi\)
\(224\) 0.661862 3.75360i 0.0442225 0.250798i
\(225\) −4.02882 1.46637i −0.268588 0.0977580i
\(226\) 11.2497 9.43966i 0.748322 0.627917i
\(227\) 1.37964 0.0915703 0.0457851 0.998951i \(-0.485421\pi\)
0.0457851 + 0.998951i \(0.485421\pi\)
\(228\) −0.108873 + 0.411142i −0.00721031 + 0.0272286i
\(229\) −17.1491 −1.13325 −0.566624 0.823977i \(-0.691751\pi\)
−0.566624 + 0.823977i \(0.691751\pi\)
\(230\) 6.60906 5.54566i 0.435789 0.365670i
\(231\) −0.349474 0.127198i −0.0229937 0.00836903i
\(232\) −0.341560 + 1.93708i −0.0224245 + 0.127176i
\(233\) 3.90090 + 22.1231i 0.255556 + 1.44933i 0.794641 + 0.607080i \(0.207659\pi\)
−0.539085 + 0.842251i \(0.681230\pi\)
\(234\) 17.9129 6.51976i 1.17100 0.426210i
\(235\) −0.135535 + 0.234754i −0.00884133 + 0.0153136i
\(236\) 4.65178 + 8.05712i 0.302805 + 0.524474i
\(237\) 0.0633925 + 0.0531926i 0.00411778 + 0.00345523i
\(238\) 7.41396 + 6.22105i 0.480576 + 0.403251i
\(239\) −0.948785 1.64334i −0.0613718 0.106299i 0.833707 0.552207i \(-0.186214\pi\)
−0.895079 + 0.445908i \(0.852881\pi\)
\(240\) 0.0921325 0.159578i 0.00594712 0.0103007i
\(241\) 18.4507 6.71549i 1.18851 0.432583i 0.329311 0.944221i \(-0.393183\pi\)
0.859201 + 0.511638i \(0.170961\pi\)
\(242\) −0.173648 0.984808i −0.0111625 0.0633058i
\(243\) −0.455540 + 2.58349i −0.0292229 + 0.165731i
\(244\) 6.28094 + 2.28607i 0.402096 + 0.146351i
\(245\) 10.8898 9.13765i 0.695726 0.583783i
\(246\) −0.115818 −0.00738426
\(247\) −22.7136 + 16.0037i −1.44523 + 1.01829i
\(248\) 10.1025 0.641507
\(249\) 0.150683 0.126438i 0.00954917 0.00801271i
\(250\) −11.4171 4.15548i −0.722080 0.262816i
\(251\) 3.99144 22.6366i 0.251937 1.42881i −0.551877 0.833926i \(-0.686088\pi\)
0.803814 0.594881i \(-0.202801\pi\)
\(252\) 1.97928 + 11.2251i 0.124683 + 0.707113i
\(253\) 4.29300 1.56253i 0.269899 0.0982352i
\(254\) 5.83359 10.1041i 0.366032 0.633986i
\(255\) 0.233944 + 0.405203i 0.0146501 + 0.0253748i
\(256\) 0.766044 + 0.642788i 0.0478778 + 0.0401742i
\(257\) 20.1362 + 16.8963i 1.25606 + 1.05396i 0.996090 + 0.0883472i \(0.0281585\pi\)
0.259974 + 0.965616i \(0.416286\pi\)
\(258\) −0.473612 0.820320i −0.0294858 0.0510709i
\(259\) 12.3878 21.4563i 0.769741 1.33323i
\(260\) 11.3119 4.11719i 0.701533 0.255337i
\(261\) −1.02143 5.79281i −0.0632248 0.358566i
\(262\) −0.443273 + 2.51392i −0.0273855 + 0.155311i
\(263\) −20.1256 7.32511i −1.24100 0.451686i −0.363646 0.931537i \(-0.618468\pi\)
−0.877350 + 0.479852i \(0.840691\pi\)
\(264\) 0.0747457 0.0627191i 0.00460028 0.00386009i
\(265\) 6.61498 0.406355
\(266\) −7.06553 15.0367i −0.433215 0.921960i
\(267\) 0.242239 0.0148248
\(268\) −7.20133 + 6.04263i −0.439891 + 0.369112i
\(269\) −25.1365 9.14895i −1.53260 0.557821i −0.568345 0.822791i \(-0.692416\pi\)
−0.964257 + 0.264969i \(0.914638\pi\)
\(270\) −0.191679 + 1.08707i −0.0116652 + 0.0661567i
\(271\) 3.47838 + 19.7269i 0.211297 + 1.19832i 0.887218 + 0.461350i \(0.152635\pi\)
−0.675922 + 0.736974i \(0.736254\pi\)
\(272\) −2.38608 + 0.868462i −0.144677 + 0.0526582i
\(273\) 1.18533 2.05305i 0.0717392 0.124256i
\(274\) 7.10292 + 12.3026i 0.429103 + 0.743228i
\(275\) −1.09826 0.921549i −0.0662275 0.0555715i
\(276\) 0.341477 + 0.286533i 0.0205545 + 0.0172473i
\(277\) −0.752827 1.30393i −0.0452330 0.0783458i 0.842522 0.538661i \(-0.181070\pi\)
−0.887755 + 0.460315i \(0.847736\pi\)
\(278\) 6.47493 11.2149i 0.388341 0.672626i
\(279\) −28.3893 + 10.3328i −1.69962 + 0.618611i
\(280\) 1.24991 + 7.08857i 0.0746962 + 0.423623i
\(281\) 0.457921 2.59700i 0.0273173 0.154924i −0.968098 0.250572i \(-0.919381\pi\)
0.995415 + 0.0956482i \(0.0304924\pi\)
\(282\) −0.0131610 0.00479022i −0.000783727 0.000285253i
\(283\) 0.309878 0.260018i 0.0184203 0.0154565i −0.633531 0.773717i \(-0.718395\pi\)
0.651951 + 0.758261i \(0.273951\pi\)
\(284\) −9.48963 −0.563106
\(285\) −0.0723504 0.799927i −0.00428567 0.0473836i
\(286\) 6.37439 0.376926
\(287\) 3.46572 2.90808i 0.204575 0.171659i
\(288\) −2.81013 1.02280i −0.165589 0.0602693i
\(289\) −1.83240 + 10.3921i −0.107788 + 0.611299i
\(290\) −0.645026 3.65813i −0.0378772 0.214813i
\(291\) −1.35551 + 0.493365i −0.0794613 + 0.0289216i
\(292\) −1.81168 + 3.13792i −0.106021 + 0.183633i
\(293\) −6.78712 11.7556i −0.396508 0.686772i 0.596784 0.802402i \(-0.296445\pi\)
−0.993292 + 0.115630i \(0.963111\pi\)
\(294\) 0.562656 + 0.472124i 0.0328148 + 0.0275349i
\(295\) −13.4590 11.2935i −0.783615 0.657531i
\(296\) 3.25011 + 5.62935i 0.188909 + 0.327199i
\(297\) −0.292256 + 0.506203i −0.0169584 + 0.0293729i
\(298\) −16.3487 + 5.95045i −0.947056 + 0.344700i
\(299\) 5.05690 + 28.6791i 0.292448 + 1.65856i
\(300\) 0.0242914 0.137764i 0.00140247 0.00795379i
\(301\) 34.7699 + 12.6552i 2.00410 + 0.729434i
\(302\) −0.201708 + 0.169253i −0.0116070 + 0.00973944i
\(303\) −0.436501 −0.0250763
\(304\) 4.34341 + 0.367160i 0.249112 + 0.0210580i
\(305\) −12.6226 −0.722768
\(306\) 5.81693 4.88098i 0.332532 0.279027i
\(307\) 27.4804 + 10.0021i 1.56839 + 0.570848i 0.972639 0.232321i \(-0.0746319\pi\)
0.595752 + 0.803168i \(0.296854\pi\)
\(308\) −0.661862 + 3.75360i −0.0377131 + 0.213881i
\(309\) −0.230457 1.30699i −0.0131103 0.0743519i
\(310\) −17.9277 + 6.52513i −1.01822 + 0.370603i
\(311\) −15.9039 + 27.5464i −0.901828 + 1.56201i −0.0767087 + 0.997054i \(0.524441\pi\)
−0.825119 + 0.564958i \(0.808892\pi\)
\(312\) 0.310986 + 0.538644i 0.0176061 + 0.0304947i
\(313\) −15.1354 12.7001i −0.855505 0.717854i 0.105490 0.994420i \(-0.466359\pi\)
−0.960995 + 0.276567i \(0.910803\pi\)
\(314\) −6.15645 5.16587i −0.347428 0.291527i
\(315\) −10.7626 18.6414i −0.606405 1.05032i
\(316\) 0.424054 0.734483i 0.0238549 0.0413179i
\(317\) 22.4282 8.16319i 1.25969 0.458491i 0.376027 0.926609i \(-0.377290\pi\)
0.883666 + 0.468118i \(0.155068\pi\)
\(318\) 0.0593500 + 0.336590i 0.00332818 + 0.0188750i
\(319\) 0.341560 1.93708i 0.0191237 0.108456i
\(320\) −1.77458 0.645895i −0.0992022 0.0361066i
\(321\) 0.319786 0.268332i 0.0178487 0.0149769i
\(322\) −17.4130 −0.970386
\(323\) −6.32181 + 9.08511i −0.351755 + 0.505509i
\(324\) 8.91441 0.495245
\(325\) 7.00074 5.87432i 0.388331 0.325848i
\(326\) −0.841799 0.306390i −0.0466230 0.0169694i
\(327\) −0.217622 + 1.23419i −0.0120345 + 0.0682510i
\(328\) 0.206116 + 1.16894i 0.0113809 + 0.0645441i
\(329\) 0.514108 0.187120i 0.0283437 0.0103163i
\(330\) −0.0921325 + 0.159578i −0.00507172 + 0.00878448i
\(331\) 6.18379 + 10.7106i 0.339892 + 0.588710i 0.984412 0.175877i \(-0.0562762\pi\)
−0.644520 + 0.764587i \(0.722943\pi\)
\(332\) −1.54431 1.29583i −0.0847548 0.0711177i
\(333\) −14.8910 12.4950i −0.816019 0.684721i
\(334\) −9.34561 16.1871i −0.511369 0.885717i
\(335\) 8.87644 15.3744i 0.484972 0.839996i
\(336\) −0.349474 + 0.127198i −0.0190654 + 0.00693923i
\(337\) 2.68852 + 15.2474i 0.146453 + 0.830577i 0.966189 + 0.257835i \(0.0830091\pi\)
−0.819736 + 0.572742i \(0.805880\pi\)
\(338\) −4.79840 + 27.2131i −0.260999 + 1.48020i
\(339\) −1.34650 0.490087i −0.0731319 0.0266178i
\(340\) 3.67336 3.08232i 0.199216 0.167162i
\(341\) −10.1025 −0.547079
\(342\) −12.5811 + 3.41069i −0.680307 + 0.184429i
\(343\) −2.01097 −0.108582
\(344\) −7.43660 + 6.24005i −0.400955 + 0.336441i
\(345\) −0.791050 0.287919i −0.0425887 0.0155010i
\(346\) −2.73908 + 15.5341i −0.147254 + 0.835119i
\(347\) −4.42843 25.1148i −0.237730 1.34824i −0.836787 0.547529i \(-0.815569\pi\)
0.599056 0.800707i \(-0.295543\pi\)
\(348\) 0.180349 0.0656418i 0.00966774 0.00351877i
\(349\) −7.90452 + 13.6910i −0.423119 + 0.732864i −0.996243 0.0866052i \(-0.972398\pi\)
0.573124 + 0.819469i \(0.305731\pi\)
\(350\) 2.73223 + 4.73237i 0.146044 + 0.252956i
\(351\) −2.85421 2.39497i −0.152347 0.127834i
\(352\) −0.766044 0.642788i −0.0408303 0.0342607i
\(353\) 17.0924 + 29.6050i 0.909739 + 1.57571i 0.814426 + 0.580267i \(0.197052\pi\)
0.0953127 + 0.995447i \(0.469615\pi\)
\(354\) 0.453891 0.786162i 0.0241240 0.0417841i
\(355\) 16.8401 6.12931i 0.893781 0.325310i
\(356\) −0.431104 2.44491i −0.0228484 0.129580i
\(357\) 0.163983 0.929993i 0.00867890 0.0492205i
\(358\) −11.2578 4.09750i −0.594993 0.216560i
\(359\) −20.1488 + 16.9068i −1.06341 + 0.892308i −0.994439 0.105310i \(-0.966416\pi\)
−0.0689722 + 0.997619i \(0.521972\pi\)
\(360\) 5.64743 0.297646
\(361\) 16.3984 9.59640i 0.863076 0.505074i
\(362\) −7.39779 −0.388819
\(363\) −0.0747457 + 0.0627191i −0.00392313 + 0.00329190i
\(364\) −22.8308 8.30974i −1.19666 0.435549i
\(365\) 1.18821 6.73866i 0.0621936 0.352717i
\(366\) −0.113251 0.642277i −0.00591971 0.0335724i
\(367\) −16.9014 + 6.15162i −0.882248 + 0.321112i −0.743117 0.669162i \(-0.766653\pi\)
−0.139132 + 0.990274i \(0.544431\pi\)
\(368\) 2.28426 3.95645i 0.119075 0.206244i
\(369\) −1.77482 3.07407i −0.0923932 0.160030i
\(370\) −9.40355 7.89052i −0.488868 0.410209i
\(371\) −10.2275 8.58188i −0.530985 0.445549i
\(372\) −0.492867 0.853670i −0.0255540 0.0442608i
\(373\) 2.03119 3.51812i 0.105171 0.182161i −0.808637 0.588308i \(-0.799794\pi\)
0.913808 + 0.406146i \(0.133128\pi\)
\(374\) 2.38608 0.868462i 0.123381 0.0449071i
\(375\) 0.205860 + 1.16749i 0.0106306 + 0.0602889i
\(376\) −0.0249254 + 0.141359i −0.00128543 + 0.00729002i
\(377\) 11.7821 + 4.28832i 0.606807 + 0.220860i
\(378\) 1.70665 1.43205i 0.0877807 0.0736567i
\(379\) −16.9146 −0.868844 −0.434422 0.900709i \(-0.643047\pi\)
−0.434422 + 0.900709i \(0.643047\pi\)
\(380\) −7.94488 + 2.15383i −0.407564 + 0.110489i
\(381\) −1.13841 −0.0583224
\(382\) −1.26074 + 1.05788i −0.0645050 + 0.0541261i
\(383\) −22.8178 8.30501i −1.16594 0.424366i −0.314722 0.949184i \(-0.601911\pi\)
−0.851215 + 0.524818i \(0.824134\pi\)
\(384\) 0.0169435 0.0960912i 0.000864643 0.00490363i
\(385\) −1.24991 7.08857i −0.0637012 0.361267i
\(386\) 4.52044 1.64531i 0.230085 0.0837439i
\(387\) 14.5155 25.1415i 0.737863 1.27802i
\(388\) 7.39187 + 12.8031i 0.375265 + 0.649979i
\(389\) −27.2989 22.9065i −1.38411 1.16141i −0.967663 0.252247i \(-0.918831\pi\)
−0.416447 0.909160i \(-0.636725\pi\)
\(390\) −0.899778 0.755003i −0.0455620 0.0382311i
\(391\) 5.80022 + 10.0463i 0.293330 + 0.508062i
\(392\) 3.76380 6.51910i 0.190101 0.329264i
\(393\) 0.234055 0.0851892i 0.0118065 0.00429723i
\(394\) −4.29536 24.3602i −0.216397 1.22725i
\(395\) −0.278120 + 1.57730i −0.0139937 + 0.0793624i
\(396\) 2.81013 + 1.02280i 0.141214 + 0.0513978i
\(397\) 11.3019 9.48344i 0.567227 0.475960i −0.313497 0.949589i \(-0.601501\pi\)
0.880724 + 0.473629i \(0.157056\pi\)
\(398\) −18.0107 −0.902796
\(399\) −0.925916 + 1.33064i −0.0463538 + 0.0666152i
\(400\) −1.43368 −0.0716838
\(401\) −7.43444 + 6.23823i −0.371258 + 0.311523i −0.809259 0.587452i \(-0.800131\pi\)
0.438001 + 0.898975i \(0.355687\pi\)
\(402\) 0.861939 + 0.313720i 0.0429896 + 0.0156469i
\(403\) 11.1824 63.4187i 0.557037 3.15911i
\(404\) 0.776826 + 4.40560i 0.0386485 + 0.219187i
\(405\) −15.8193 + 5.75777i −0.786070 + 0.286106i
\(406\) −3.74855 + 6.49269i −0.186038 + 0.322227i
\(407\) −3.25011 5.62935i −0.161102 0.279037i
\(408\) 0.189795 + 0.159257i 0.00939627 + 0.00788440i
\(409\) 3.28984 + 2.76050i 0.162672 + 0.136498i 0.720490 0.693465i \(-0.243917\pi\)
−0.557818 + 0.829963i \(0.688361\pi\)
\(410\) −1.12079 1.94126i −0.0553517 0.0958719i
\(411\) 0.693057 1.20041i 0.0341860 0.0592119i
\(412\) −12.7813 + 4.65200i −0.629687 + 0.229187i
\(413\) 6.15767 + 34.9219i 0.302999 + 1.71839i
\(414\) −2.37239 + 13.4545i −0.116597 + 0.661253i
\(415\) 3.57746 + 1.30209i 0.175611 + 0.0639171i
\(416\) 4.88307 4.09738i 0.239412 0.200891i
\(417\) −1.26356 −0.0618770
\(418\) −4.34341 0.367160i −0.212443 0.0179584i
\(419\) −12.0304 −0.587726 −0.293863 0.955848i \(-0.594941\pi\)
−0.293863 + 0.955848i \(0.594941\pi\)
\(420\) 0.538014 0.451447i 0.0262524 0.0220284i
\(421\) 4.82920 + 1.75768i 0.235361 + 0.0856642i 0.457008 0.889463i \(-0.348921\pi\)
−0.221647 + 0.975127i \(0.571143\pi\)
\(422\) −2.90219 + 16.4591i −0.141276 + 0.801218i
\(423\) −0.0745388 0.422731i −0.00362420 0.0205539i
\(424\) 3.29158 1.19804i 0.159853 0.0581817i
\(425\) 1.82020 3.15269i 0.0882929 0.152928i
\(426\) 0.462969 + 0.801885i 0.0224309 + 0.0388515i
\(427\) 19.5159 + 16.3758i 0.944443 + 0.792482i
\(428\) −3.27738 2.75005i −0.158418 0.132929i
\(429\) −0.310986 0.538644i −0.0150146 0.0260060i
\(430\) 9.16644 15.8767i 0.442045 0.765645i
\(431\) 36.0313 13.1143i 1.73557 0.631694i 0.736564 0.676368i \(-0.236447\pi\)
0.999002 + 0.0446741i \(0.0142249\pi\)
\(432\) 0.101500 + 0.575632i 0.00488340 + 0.0276951i
\(433\) −1.41983 + 8.05223i −0.0682325 + 0.386966i 0.931498 + 0.363747i \(0.118503\pi\)
−0.999730 + 0.0232190i \(0.992608\pi\)
\(434\) 36.1835 + 13.1697i 1.73686 + 0.632166i
\(435\) −0.277647 + 0.232974i −0.0133122 + 0.0111702i
\(436\) 12.8440 0.615115
\(437\) −1.79380 19.8328i −0.0858090 0.948730i
\(438\) 0.353544 0.0168930
\(439\) 8.37024 7.02347i 0.399490 0.335212i −0.420807 0.907150i \(-0.638253\pi\)
0.820296 + 0.571939i \(0.193808\pi\)
\(440\) 1.77458 + 0.645895i 0.0845999 + 0.0307918i
\(441\) −3.90902 + 22.1691i −0.186144 + 1.05567i
\(442\) 2.81066 + 15.9400i 0.133689 + 0.758190i
\(443\) −37.4604 + 13.6345i −1.77980 + 0.647793i −0.780039 + 0.625731i \(0.784801\pi\)
−0.999757 + 0.0220616i \(0.992977\pi\)
\(444\) 0.317125 0.549276i 0.0150501 0.0260675i
\(445\) 2.34419 + 4.06025i 0.111125 + 0.192474i
\(446\) 3.99396 + 3.35133i 0.189120 + 0.158690i
\(447\) 1.30042 + 1.09118i 0.0615078 + 0.0516112i
\(448\) 1.90575 + 3.30086i 0.0900384 + 0.155951i
\(449\) −0.412767 + 0.714933i −0.0194797 + 0.0337398i −0.875601 0.483035i \(-0.839534\pi\)
0.856121 + 0.516775i \(0.172868\pi\)
\(450\) 4.02882 1.46637i 0.189920 0.0691253i
\(451\) −0.206116 1.16894i −0.00970564 0.0550434i
\(452\) −2.55011 + 14.4624i −0.119947 + 0.680254i
\(453\) 0.0241428 + 0.00878727i 0.00113433 + 0.000412862i
\(454\) −1.05687 + 0.886819i −0.0496013 + 0.0416205i
\(455\) 45.8824 2.15100
\(456\) −0.180876 0.384936i −0.00847027 0.0180263i
\(457\) −10.2987 −0.481755 −0.240878 0.970556i \(-0.577435\pi\)
−0.240878 + 0.970556i \(0.577435\pi\)
\(458\) 13.1370 11.0233i 0.613852 0.515083i
\(459\) −1.39469 0.507627i −0.0650987 0.0236940i
\(460\) −1.49815 + 8.49645i −0.0698517 + 0.396149i
\(461\) 0.768323 + 4.35737i 0.0357844 + 0.202943i 0.997458 0.0712524i \(-0.0226996\pi\)
−0.961674 + 0.274196i \(0.911588\pi\)
\(462\) 0.349474 0.127198i 0.0162590 0.00591779i
\(463\) −3.06952 + 5.31656i −0.142653 + 0.247082i −0.928495 0.371346i \(-0.878897\pi\)
0.785842 + 0.618427i \(0.212230\pi\)
\(464\) −0.983483 1.70344i −0.0456570 0.0790803i
\(465\) 1.42601 + 1.19657i 0.0661298 + 0.0554895i
\(466\) −17.2087 14.4398i −0.797178 0.668911i
\(467\) 19.4103 + 33.6196i 0.898202 + 1.55573i 0.829791 + 0.558074i \(0.188459\pi\)
0.0684104 + 0.997657i \(0.478207\pi\)
\(468\) −9.53125 + 16.5086i −0.440582 + 0.763110i
\(469\) −33.6699 + 12.2548i −1.55473 + 0.565875i
\(470\) −0.0470708 0.266952i −0.00217122 0.0123136i
\(471\) −0.136169 + 0.772254i −0.00627434 + 0.0355836i
\(472\) −8.74249 3.18201i −0.402406 0.146464i
\(473\) 7.43660 6.24005i 0.341935 0.286918i
\(474\) −0.0827530 −0.00380097
\(475\) −5.10854 + 3.59943i −0.234396 + 0.165153i
\(476\) −9.67823 −0.443601
\(477\) −8.02440 + 6.73327i −0.367412 + 0.308295i
\(478\) 1.78313 + 0.649007i 0.0815586 + 0.0296849i
\(479\) −1.18829 + 6.73914i −0.0542945 + 0.307919i −0.999846 0.0175534i \(-0.994412\pi\)
0.945551 + 0.325473i \(0.105523\pi\)
\(480\) 0.0319973 + 0.181466i 0.00146047 + 0.00828273i
\(481\) 38.9361 14.1716i 1.77533 0.646168i
\(482\) −9.81740 + 17.0042i −0.447170 + 0.774521i
\(483\) 0.849522 + 1.47142i 0.0386546 + 0.0669517i
\(484\) 0.766044 + 0.642788i 0.0348202 + 0.0292176i
\(485\) −21.3869 17.9458i −0.971131 0.814876i
\(486\) −1.31167 2.27189i −0.0594987 0.103055i
\(487\) −18.5342 + 32.1021i −0.839863 + 1.45469i 0.0501455 + 0.998742i \(0.484032\pi\)
−0.890009 + 0.455944i \(0.849302\pi\)
\(488\) −6.28094 + 2.28607i −0.284325 + 0.103486i
\(489\) 0.0151784 + 0.0860808i 0.000686390 + 0.00389271i
\(490\) −2.46852 + 13.9997i −0.111517 + 0.632442i
\(491\) 14.9838 + 5.45365i 0.676208 + 0.246120i 0.657219 0.753700i \(-0.271733\pi\)
0.0189896 + 0.999820i \(0.493955\pi\)
\(492\) 0.0887214 0.0744461i 0.00399987 0.00335629i
\(493\) 4.99454 0.224943
\(494\) 7.11259 26.8596i 0.320011 1.20847i
\(495\) −5.64743 −0.253833
\(496\) −7.73894 + 6.49374i −0.347489 + 0.291578i
\(497\) −33.9885 12.3708i −1.52459 0.554906i
\(498\) −0.0341571 + 0.193715i −0.00153062 + 0.00868057i
\(499\) −3.06320 17.3723i −0.137128 0.777690i −0.973354 0.229306i \(-0.926354\pi\)
0.836227 0.548384i \(-0.184757\pi\)
\(500\) 11.4171 4.15548i 0.510588 0.185839i
\(501\) −0.911884 + 1.57943i −0.0407400 + 0.0705637i
\(502\) 11.4929 + 19.9063i 0.512952 + 0.888460i
\(503\) 1.41525 + 1.18754i 0.0631031 + 0.0529498i 0.673794 0.738920i \(-0.264664\pi\)
−0.610691 + 0.791869i \(0.709108\pi\)
\(504\) −8.73156 7.32665i −0.388935 0.326355i
\(505\) −4.22410 7.31635i −0.187970 0.325573i
\(506\) −2.28426 + 3.95645i −0.101548 + 0.175886i
\(507\) 2.53364 0.922168i 0.112523 0.0409549i
\(508\) 2.02598 + 11.4899i 0.0898885 + 0.509783i
\(509\) 7.22042 40.9490i 0.320039 1.81503i −0.222419 0.974951i \(-0.571395\pi\)
0.542459 0.840082i \(-0.317493\pi\)
\(510\) −0.439671 0.160027i −0.0194689 0.00708612i
\(511\) −10.5794 + 8.87720i −0.468007 + 0.392704i
\(512\) −1.00000 −0.0441942
\(513\) 1.80687 + 1.79629i 0.0797751 + 0.0793083i
\(514\) −26.2860 −1.15943
\(515\) 19.6767 16.5107i 0.867059 0.727549i
\(516\) 0.890099 + 0.323970i 0.0391844 + 0.0142620i
\(517\) 0.0249254 0.141359i 0.00109622 0.00621695i
\(518\) 4.30224 + 24.3992i 0.189030 + 1.07204i
\(519\) 1.44628 0.526404i 0.0634847 0.0231066i
\(520\) −6.01893 + 10.4251i −0.263948 + 0.457170i
\(521\) −9.10775 15.7751i −0.399018 0.691119i 0.594587 0.804031i \(-0.297315\pi\)
−0.993605 + 0.112912i \(0.963982\pi\)
\(522\) 4.50600 + 3.78099i 0.197222 + 0.165489i
\(523\) −2.86353 2.40278i −0.125213 0.105066i 0.578031 0.816015i \(-0.303821\pi\)
−0.703244 + 0.710949i \(0.748266\pi\)
\(524\) −1.27635 2.21071i −0.0557577 0.0965752i
\(525\) 0.266594 0.461754i 0.0116351 0.0201526i
\(526\) 20.1256 7.32511i 0.877517 0.319390i
\(527\) −4.45448 25.2626i −0.194040 1.10046i
\(528\) −0.0169435 + 0.0960912i −0.000737370 + 0.00418183i
\(529\) 2.00025 + 0.728032i 0.0869674 + 0.0316536i
\(530\) −5.06737 + 4.25203i −0.220112 + 0.184696i
\(531\) 27.8221 1.20738
\(532\) 15.0779 + 6.97716i 0.653711 + 0.302498i
\(533\) 7.56626 0.327731
\(534\) −0.185566 + 0.155708i −0.00803021 + 0.00673815i
\(535\) 7.59223 + 2.76335i 0.328241 + 0.119470i
\(536\) 1.63241 9.25785i 0.0705093 0.399878i
\(537\) 0.202988 + 1.15120i 0.00875957 + 0.0496780i
\(538\) 25.1365 9.14895i 1.08371 0.394439i
\(539\) −3.76380 + 6.51910i −0.162118 + 0.280797i
\(540\) −0.551918 0.955949i −0.0237508 0.0411375i
\(541\) 25.1583 + 21.1103i 1.08164 + 0.907603i 0.996056 0.0887285i \(-0.0282804\pi\)
0.0855828 + 0.996331i \(0.472725\pi\)
\(542\) −15.3448 12.8758i −0.659116 0.553064i
\(543\) 0.360914 + 0.625122i 0.0154883 + 0.0268266i
\(544\) 1.26961 2.19902i 0.0544339 0.0942823i
\(545\) −22.7927 + 8.29586i −0.976332 + 0.355356i
\(546\) 0.411660 + 2.33464i 0.0176174 + 0.0999133i
\(547\) 5.10230 28.9366i 0.218158 1.23724i −0.657182 0.753732i \(-0.728252\pi\)
0.875341 0.483507i \(-0.160637\pi\)
\(548\) −13.3491 4.85868i −0.570246 0.207553i
\(549\) 15.3121 12.8483i 0.653503 0.548354i
\(550\) 1.43368 0.0611321
\(551\) −7.78110 3.60063i −0.331486 0.153392i
\(552\) −0.445767 −0.0189731
\(553\) 2.47629 2.07786i 0.105303 0.0883595i
\(554\) 1.41485 + 0.514964i 0.0601113 + 0.0218787i
\(555\) −0.207989 + 1.17956i −0.00882864 + 0.0500697i
\(556\) 2.24872 + 12.7531i 0.0953670 + 0.540853i
\(557\) −28.2029 + 10.2650i −1.19499 + 0.434942i −0.861475 0.507801i \(-0.830459\pi\)
−0.333520 + 0.942743i \(0.608236\pi\)
\(558\) 15.1056 26.1637i 0.639471 1.10760i
\(559\) 30.9406 + 53.5908i 1.30865 + 2.26665i
\(560\) −5.51393 4.62674i −0.233006 0.195515i
\(561\) −0.189795 0.159257i −0.00801316 0.00672384i
\(562\) 1.31853 + 2.28376i 0.0556188 + 0.0963347i
\(563\) 1.78541 3.09242i 0.0752461 0.130330i −0.825947 0.563748i \(-0.809359\pi\)
0.901193 + 0.433417i \(0.142692\pi\)
\(564\) 0.0131610 0.00479022i 0.000554179 0.000201705i
\(565\) −4.81581 27.3118i −0.202603 1.14902i
\(566\) −0.0702436 + 0.398371i −0.00295256 + 0.0167448i
\(567\) 31.9283 + 11.6209i 1.34086 + 0.488033i
\(568\) 7.26948 6.09982i 0.305021 0.255943i
\(569\) 29.0243 1.21676 0.608382 0.793645i \(-0.291819\pi\)
0.608382 + 0.793645i \(0.291819\pi\)
\(570\) 0.569607 + 0.566274i 0.0238582 + 0.0237186i
\(571\) −20.7613 −0.868835 −0.434418 0.900712i \(-0.643046\pi\)
−0.434418 + 0.900712i \(0.643046\pi\)
\(572\) −4.88307 + 4.09738i −0.204171 + 0.171320i
\(573\) 0.150900 + 0.0549231i 0.00630393 + 0.00229444i
\(574\) −0.785615 + 4.45544i −0.0327909 + 0.185967i
\(575\) 1.13736 + 6.45027i 0.0474311 + 0.268995i
\(576\) 2.81013 1.02280i 0.117089 0.0426168i
\(577\) 1.90972 3.30773i 0.0795026 0.137702i −0.823533 0.567269i \(-0.808000\pi\)
0.903035 + 0.429566i \(0.141333\pi\)
\(578\) −5.27620 9.13864i −0.219461 0.380117i
\(579\) −0.359568 0.301714i −0.0149431 0.0125388i
\(580\) 2.84552 + 2.38767i 0.118154 + 0.0991427i
\(581\) −3.84190 6.65437i −0.159389 0.276070i
\(582\) 0.721251 1.24924i 0.0298968 0.0517828i
\(583\) −3.29158 + 1.19804i −0.136323 + 0.0496176i
\(584\) −0.629190 3.56831i −0.0260361 0.147658i
\(585\) 6.25116 35.4521i 0.258453 1.46576i
\(586\) 12.7556 + 4.64267i 0.526930 + 0.191787i
\(587\) −0.170036 + 0.142677i −0.00701815 + 0.00588893i −0.646290 0.763092i \(-0.723680\pi\)
0.639272 + 0.768981i \(0.279236\pi\)
\(588\) −0.734495 −0.0302901
\(589\) −11.2724 + 42.5684i −0.464471 + 1.75400i
\(590\) 17.5695 0.723326
\(591\) −1.84891 + 1.55142i −0.0760540 + 0.0638169i
\(592\) −6.10820 2.22320i −0.251046 0.0913731i
\(593\) 5.10038 28.9257i 0.209448 1.18784i −0.680838 0.732434i \(-0.738384\pi\)
0.890286 0.455402i \(-0.150504\pi\)
\(594\) −0.101500 0.575632i −0.00416458 0.0236185i
\(595\) 17.1748 6.25113i 0.704099 0.256271i
\(596\) 8.69897 15.0671i 0.356324 0.617171i
\(597\) 0.878685 + 1.52193i 0.0359622 + 0.0622884i
\(598\) −22.3084 18.7190i −0.912258 0.765475i
\(599\) −5.09340 4.27387i −0.208111 0.174626i 0.532775 0.846257i \(-0.321149\pi\)
−0.740885 + 0.671632i \(0.765594\pi\)
\(600\) 0.0699444 + 0.121147i 0.00285547 + 0.00494582i
\(601\) −8.89489 + 15.4064i −0.362830 + 0.628441i −0.988425 0.151707i \(-0.951523\pi\)
0.625595 + 0.780148i \(0.284856\pi\)
\(602\) −34.7699 + 12.6552i −1.41711 + 0.515788i
\(603\) 4.88168 + 27.6854i 0.198797 + 1.12744i
\(604\) 0.0457236 0.259311i 0.00186047 0.0105512i
\(605\) −1.77458 0.645895i −0.0721470 0.0262594i
\(606\) 0.334379 0.280578i 0.0135832 0.0113977i
\(607\) 31.0441 1.26004 0.630021 0.776578i \(-0.283046\pi\)
0.630021 + 0.776578i \(0.283046\pi\)
\(608\) −3.56325 + 2.51063i −0.144509 + 0.101819i
\(609\) 0.731520 0.0296427
\(610\) 9.66948 8.11366i 0.391506 0.328512i
\(611\) 0.859797 + 0.312941i 0.0347837 + 0.0126602i
\(612\) −1.31859 + 7.47810i −0.0533009 + 0.302284i
\(613\) 5.00116 + 28.3630i 0.201995 + 1.14557i 0.902099 + 0.431529i \(0.142026\pi\)
−0.700104 + 0.714041i \(0.746863\pi\)
\(614\) −27.4804 + 10.0021i −1.10902 + 0.403650i
\(615\) −0.109359 + 0.189416i −0.00440978 + 0.00763797i
\(616\) −1.90575 3.30086i −0.0767850 0.132996i
\(617\) −13.8736 11.6414i −0.558532 0.468664i 0.319286 0.947658i \(-0.396557\pi\)
−0.877818 + 0.478994i \(0.841001\pi\)
\(618\) 1.01666 + 0.853076i 0.0408959 + 0.0343157i
\(619\) 14.2275 + 24.6427i 0.571851 + 0.990475i 0.996376 + 0.0850588i \(0.0271078\pi\)
−0.424525 + 0.905416i \(0.639559\pi\)
\(620\) 9.53911 16.5222i 0.383100 0.663548i
\(621\) 2.50931 0.913316i 0.100695 0.0366501i
\(622\) −5.52337 31.3246i −0.221467 1.25600i
\(623\) 1.64316 9.31880i 0.0658316 0.373350i
\(624\) −0.584463 0.212727i −0.0233972 0.00851590i
\(625\) −12.0853 + 10.1407i −0.483411 + 0.405630i
\(626\) 19.7579 0.789684
\(627\) 0.180876 + 0.384936i 0.00722347 + 0.0153729i
\(628\) 8.03667 0.320698
\(629\) 12.6439 10.6095i 0.504145 0.423028i
\(630\) 20.2271 + 7.36207i 0.805868 + 0.293312i
\(631\) 4.93692 27.9987i 0.196536 1.11461i −0.713679 0.700473i \(-0.752973\pi\)
0.910215 0.414136i \(-0.135916\pi\)
\(632\) 0.147272 + 0.835224i 0.00585818 + 0.0332234i
\(633\) 1.53240 0.557750i 0.0609076 0.0221686i
\(634\) −11.9338 + 20.6699i −0.473951 + 0.820908i
\(635\) −11.0166 19.0812i −0.437179 0.757216i
\(636\) −0.261821 0.219694i −0.0103819 0.00871142i
\(637\) −36.7578 30.8435i −1.45640 1.22206i
\(638\) 0.983483 + 1.70344i 0.0389365 + 0.0674399i
\(639\) −14.1893 + 24.5765i −0.561319 + 0.972233i
\(640\) 1.77458 0.645895i 0.0701465 0.0255313i
\(641\) −6.59254 37.3882i −0.260390 1.47674i −0.781849 0.623468i \(-0.785723\pi\)
0.521459 0.853276i \(-0.325388\pi\)
\(642\) −0.0724896 + 0.411109i −0.00286094 + 0.0162252i
\(643\) 31.2082 + 11.3588i 1.23073 + 0.447949i 0.873847 0.486200i \(-0.161617\pi\)
0.356883 + 0.934149i \(0.383840\pi\)
\(644\) 13.3391 11.1928i 0.525634 0.441059i
\(645\) −1.78881 −0.0704341
\(646\) −0.997005 11.0232i −0.0392266 0.433701i
\(647\) 11.7952 0.463717 0.231859 0.972750i \(-0.425519\pi\)
0.231859 + 0.972750i \(0.425519\pi\)
\(648\) −6.82883 + 5.73007i −0.268262 + 0.225098i
\(649\) 8.74249 + 3.18201i 0.343173 + 0.124905i
\(650\) −1.58694 + 8.99997i −0.0622448 + 0.353008i
\(651\) −0.652419 3.70005i −0.0255703 0.145017i
\(652\) 0.841799 0.306390i 0.0329674 0.0119992i
\(653\) −2.28195 + 3.95245i −0.0892995 + 0.154671i −0.907215 0.420667i \(-0.861796\pi\)
0.817916 + 0.575338i \(0.195129\pi\)
\(654\) −0.626616 1.08533i −0.0245026 0.0424398i
\(655\) 3.69288 + 3.09869i 0.144293 + 0.121076i
\(656\) −0.909277 0.762974i −0.0355013 0.0297891i
\(657\) 5.41779 + 9.38389i 0.211368 + 0.366100i
\(658\) −0.273551 + 0.473804i −0.0106641 + 0.0184708i
\(659\) 4.93999 1.79801i 0.192435 0.0700404i −0.244005 0.969774i \(-0.578461\pi\)
0.436440 + 0.899733i \(0.356239\pi\)
\(660\) −0.0319973 0.181466i −0.00124549 0.00706354i
\(661\) 7.12344 40.3990i 0.277070 1.57134i −0.455240 0.890369i \(-0.650447\pi\)
0.732310 0.680972i \(-0.238442\pi\)
\(662\) −11.6217 4.22996i −0.451691 0.164402i
\(663\) 1.20983 1.01517i 0.0469859 0.0394258i
\(664\) 2.01595 0.0782339
\(665\) −31.2635 2.64279i −1.21235 0.102483i
\(666\) 19.4388 0.753236
\(667\) −6.88377 + 5.77617i −0.266541 + 0.223654i
\(668\) 17.5640 + 6.39277i 0.679572 + 0.247344i
\(669\) 0.0883390 0.500995i 0.00341538 0.0193696i
\(670\) 3.08276 + 17.4832i 0.119097 + 0.675434i
\(671\) 6.28094 2.28607i 0.242473 0.0882529i
\(672\) 0.185951 0.322077i 0.00717323 0.0124244i
\(673\) 14.3103 + 24.7862i 0.551622 + 0.955437i 0.998158 + 0.0606716i \(0.0193242\pi\)
−0.446536 + 0.894766i \(0.647342\pi\)
\(674\) −11.8603 9.95201i −0.456843 0.383337i
\(675\) −0.641946 0.538657i −0.0247085 0.0207329i
\(676\) −13.8164 23.9308i −0.531402 0.920415i
\(677\) −8.32452 + 14.4185i −0.319937 + 0.554148i −0.980475 0.196646i \(-0.936995\pi\)
0.660537 + 0.750793i \(0.270328\pi\)
\(678\) 1.34650 0.490087i 0.0517121 0.0188217i
\(679\) 9.78479 + 55.4923i 0.375506 + 2.12960i
\(680\) −0.832683 + 4.72238i −0.0319319 + 0.181095i
\(681\) 0.126499 + 0.0460417i 0.00484743 + 0.00176432i
\(682\) 7.73894 6.49374i 0.296339 0.248658i
\(683\) −2.67552 −0.102376 −0.0511879 0.998689i \(-0.516301\pi\)
−0.0511879 + 0.998689i \(0.516301\pi\)
\(684\) 7.44532 10.6997i 0.284679 0.409113i
\(685\) 26.8273 1.02502
\(686\) 1.54049 1.29262i 0.0588162 0.0493526i
\(687\) −1.57239 0.572304i −0.0599905 0.0218347i
\(688\) 1.68574 9.56031i 0.0642683 0.364483i
\(689\) −3.87728 21.9891i −0.147713 0.837719i
\(690\) 0.791050 0.287919i 0.0301148 0.0109609i
\(691\) 4.20229 7.27858i 0.159863 0.276890i −0.774956 0.632015i \(-0.782228\pi\)
0.934819 + 0.355125i \(0.115562\pi\)
\(692\) −7.88687 13.6605i −0.299814 0.519293i
\(693\) 8.73156 + 7.32665i 0.331684 + 0.278316i
\(694\) 19.5359 + 16.3926i 0.741572 + 0.622253i
\(695\) −12.2277 21.1790i −0.463824 0.803367i
\(696\) −0.0959619 + 0.166211i −0.00363743 + 0.00630021i
\(697\) 2.83222 1.03084i 0.107278 0.0390460i
\(698\) −2.74521 15.5689i −0.103908 0.589290i
\(699\) −0.380624 + 2.15863i −0.0143965 + 0.0816468i
\(700\) −5.13492 1.86896i −0.194082 0.0706400i
\(701\) −11.1388 + 9.34659i −0.420708 + 0.353016i −0.828432 0.560089i \(-0.810767\pi\)
0.407725 + 0.913105i \(0.366322\pi\)
\(702\) 3.72591 0.140625
\(703\) −27.3467 + 7.41360i −1.03140 + 0.279609i
\(704\) 1.00000 0.0376889
\(705\) −0.0202613 + 0.0170013i −0.000763086 + 0.000640305i
\(706\) −32.1233 11.6919i −1.20898 0.440031i
\(707\) −2.96088 + 16.7920i −0.111355 + 0.631527i
\(708\) 0.157635 + 0.893991i 0.00592427 + 0.0335982i
\(709\) 14.7638 5.37359i 0.554467 0.201810i −0.0495629 0.998771i \(-0.515783\pi\)
0.604030 + 0.796961i \(0.293561\pi\)
\(710\) −8.96045 + 15.5200i −0.336280 + 0.582453i
\(711\) −1.26813 2.19646i −0.0475584 0.0823736i
\(712\) 1.90180 + 1.59580i 0.0712731 + 0.0598052i
\(713\) 35.3555 + 29.6668i 1.32407 + 1.11103i
\(714\) 0.472170 + 0.817822i 0.0176705 + 0.0306062i
\(715\) 6.01893 10.4251i 0.225095 0.389876i
\(716\) 11.2578 4.09750i 0.420724 0.153131i
\(717\) −0.0321514 0.182340i −0.00120072 0.00680960i
\(718\) 4.56736 25.9028i 0.170452 0.966683i
\(719\) 15.3351 + 5.58152i 0.571903 + 0.208156i 0.611751 0.791050i \(-0.290465\pi\)
−0.0398484 + 0.999206i \(0.512688\pi\)
\(720\) −4.32619 + 3.63010i −0.161227 + 0.135286i
\(721\) −51.8424 −1.93071
\(722\) −6.39349 + 17.8920i −0.237941 + 0.665871i
\(723\) 1.91584 0.0712507
\(724\) 5.66704 4.75521i 0.210614 0.176726i
\(725\) 2.64992 + 0.964494i 0.0984157 + 0.0358204i
\(726\) 0.0169435 0.0960912i 0.000628831 0.00356628i
\(727\) −6.82685 38.7170i −0.253194 1.43593i −0.800666 0.599111i \(-0.795521\pi\)
0.547472 0.836824i \(-0.315590\pi\)
\(728\) 22.8308 8.30974i 0.846167 0.307979i
\(729\) 13.2436 22.9386i 0.490505 0.849579i
\(730\) 3.42131 + 5.92587i 0.126628 + 0.219326i
\(731\) 18.8831 + 15.8448i 0.698417 + 0.586042i
\(732\) 0.499603 + 0.419217i 0.0184659 + 0.0154947i
\(733\) −10.9324 18.9355i −0.403797 0.699397i 0.590384 0.807123i \(-0.298976\pi\)
−0.994181 + 0.107726i \(0.965643\pi\)
\(734\) 8.99307 15.5765i 0.331940 0.574937i
\(735\) 1.30342 0.474407i 0.0480775 0.0174988i
\(736\) 0.793315 + 4.49911i 0.0292420 + 0.165840i
\(737\) −1.63241 + 9.25785i −0.0601305 + 0.341017i
\(738\) 3.33556 + 1.21405i 0.122784 + 0.0446896i
\(739\) −31.5818 + 26.5003i −1.16176 + 0.974830i −0.999928 0.0119893i \(-0.996184\pi\)
−0.161828 + 0.986819i \(0.551739\pi\)
\(740\) 12.2755 0.451255
\(741\) −2.61667 + 0.709369i −0.0961256 + 0.0260593i
\(742\) 13.3510 0.490132
\(743\) −4.71413 + 3.95563i −0.172945 + 0.145118i −0.725152 0.688589i \(-0.758230\pi\)
0.552207 + 0.833707i \(0.313786\pi\)
\(744\) 0.926287 + 0.337141i 0.0339593 + 0.0123602i
\(745\) −5.70530 + 32.3564i −0.209026 + 1.18545i
\(746\) 0.705423 + 4.00066i 0.0258274 + 0.146474i
\(747\) −5.66508 + 2.06192i −0.207274 + 0.0754417i
\(748\) −1.26961 + 2.19902i −0.0464214 + 0.0804042i
\(749\) −8.15343 14.1222i −0.297920 0.516012i
\(750\) −0.908146 0.762025i −0.0331608 0.0278252i
\(751\) −2.06803 1.73528i −0.0754635 0.0633214i 0.604276 0.796775i \(-0.293463\pi\)
−0.679739 + 0.733454i \(0.737907\pi\)
\(752\) −0.0717697 0.124309i −0.00261717 0.00453308i
\(753\) 1.12140 1.94232i 0.0408661 0.0707822i
\(754\) −11.7821 + 4.28832i −0.429077 + 0.156171i
\(755\) 0.0863477 + 0.489702i 0.00314251 + 0.0178221i
\(756\) −0.386866 + 2.19403i −0.0140702 + 0.0797960i
\(757\) −17.9880 6.54710i −0.653785 0.237958i −0.00623444 0.999981i \(-0.501984\pi\)
−0.647551 + 0.762022i \(0.724207\pi\)
\(758\) 12.9573 10.8725i 0.470631 0.394906i
\(759\) 0.445767 0.0161803
\(760\) 4.70168 6.75680i 0.170548 0.245095i
\(761\) −26.3003 −0.953384 −0.476692 0.879070i \(-0.658164\pi\)
−0.476692 + 0.879070i \(0.658164\pi\)
\(762\) 0.872071 0.731755i 0.0315918 0.0265087i
\(763\) 46.0026 + 16.7436i 1.66541 + 0.606158i
\(764\) 0.285786 1.62077i 0.0103394 0.0586375i
\(765\) −2.49012 14.1222i −0.0900305 0.510589i
\(766\) 22.8178 8.30501i 0.824442 0.300072i
\(767\) −29.6523 + 51.3593i −1.07068 + 1.85448i
\(768\) 0.0487868 + 0.0845012i 0.00176044 + 0.00304917i
\(769\) 21.9987 + 18.4591i 0.793292 + 0.665651i 0.946558 0.322534i \(-0.104535\pi\)
−0.153266 + 0.988185i \(0.548979\pi\)
\(770\) 5.51393 + 4.62674i 0.198708 + 0.166736i
\(771\) 1.28241 + 2.22120i 0.0461848 + 0.0799945i
\(772\) −2.40528 + 4.16606i −0.0865678 + 0.149940i
\(773\) −6.57621 + 2.39354i −0.236530 + 0.0860898i −0.457565 0.889176i \(-0.651278\pi\)
0.221036 + 0.975266i \(0.429056\pi\)
\(774\) 5.04117 + 28.5899i 0.181201 + 1.02764i
\(775\) 2.51506 14.2636i 0.0903437 0.512364i
\(776\) −13.8922 5.05634i −0.498700 0.181512i
\(777\) 1.85187 1.55390i 0.0664355 0.0557460i
\(778\) 35.6362 1.27762
\(779\) −5.15553 0.435810i −0.184716 0.0156145i
\(780\) 1.17458 0.0420566
\(781\) −7.26948 + 6.09982i −0.260122 + 0.218269i
\(782\) −10.9009 3.96759i −0.389814 0.141881i
\(783\) 0.199646 1.13225i 0.00713477 0.0404633i
\(784\) 1.30715 + 7.41324i 0.0466841 + 0.264759i
\(785\) −14.2617 + 5.19085i −0.509023 + 0.185269i
\(786\) −0.124538 + 0.215707i −0.00444213 + 0.00769400i
\(787\) −20.5338 35.5656i −0.731950 1.26778i −0.956049 0.293208i \(-0.905277\pi\)
0.224098 0.974567i \(-0.428056\pi\)
\(788\) 18.9489 + 15.9000i 0.675026 + 0.566414i
\(789\) −1.60084 1.34327i −0.0569915 0.0478215i
\(790\) −0.800814 1.38705i −0.0284917 0.0493491i
\(791\) −27.9870 + 48.4749i −0.995102 + 1.72357i
\(792\) −2.81013 + 1.02280i −0.0998537 + 0.0363438i
\(793\) 7.39857 + 41.9594i 0.262731 + 1.49002i
\(794\) −2.56194 + 14.5295i −0.0909198 + 0.515632i
\(795\) 0.606522 + 0.220756i 0.0215111 + 0.00782940i
\(796\) 13.7970 11.5771i 0.489022 0.410338i
\(797\) 24.4910 0.867514 0.433757 0.901030i \(-0.357188\pi\)
0.433757 + 0.901030i \(0.357188\pi\)
\(798\) −0.146025 1.61450i −0.00516923 0.0571525i
\(799\) 0.364477 0.0128943
\(800\) 1.09826 0.921549i 0.0388293 0.0325817i
\(801\) −6.97651 2.53924i −0.246503 0.0897197i
\(802\) 1.68525 9.55753i 0.0595083 0.337488i
\(803\) 0.629190 + 3.56831i 0.0222036 + 0.125923i
\(804\) −0.861939 + 0.313720i −0.0303982 + 0.0110641i
\(805\) −16.4419 + 28.4783i −0.579502 + 1.00373i
\(806\) 32.1985 + 55.7695i 1.13415 + 1.96440i
\(807\) −1.99943 1.67772i −0.0703832 0.0590585i
\(808\) −3.42695 2.87555i −0.120560 0.101161i
\(809\) −18.4832 32.0138i −0.649835 1.12555i −0.983162 0.182736i \(-0.941505\pi\)
0.333327 0.942811i \(-0.391829\pi\)
\(810\) 8.41730 14.5792i 0.295754 0.512261i
\(811\) 46.1054 16.7810i 1.61898 0.589260i 0.635791 0.771861i \(-0.280674\pi\)
0.983187 + 0.182601i \(0.0584518\pi\)
\(812\) −1.30186 7.38321i −0.0456863 0.259100i
\(813\) −0.339398 + 1.92482i −0.0119032 + 0.0675065i
\(814\) 6.10820 + 2.22320i 0.214092 + 0.0779233i
\(815\) −1.29595 + 1.08743i −0.0453950 + 0.0380910i
\(816\) −0.247760 −0.00867334
\(817\) −17.9957 38.2980i −0.629589 1.33988i
\(818\) −4.29458 −0.150157
\(819\) −55.6584 + 46.7029i −1.94486 + 1.63193i
\(820\) 2.10639 + 0.766663i 0.0735583 + 0.0267730i
\(821\) 0.0294416 0.166972i 0.00102752 0.00582735i −0.984290 0.176561i \(-0.943503\pi\)
0.985317 + 0.170734i \(0.0546138\pi\)
\(822\) 0.240696 + 1.36506i 0.00839524 + 0.0476118i
\(823\) 9.15950 3.33378i 0.319280 0.116208i −0.177408 0.984137i \(-0.556771\pi\)
0.496688 + 0.867929i \(0.334549\pi\)
\(824\) 6.80077 11.7793i 0.236916 0.410350i
\(825\) −0.0699444 0.121147i −0.00243515 0.00421781i
\(826\) −27.1644 22.7936i −0.945171 0.793093i
\(827\) 5.04432 + 4.23269i 0.175408 + 0.147185i 0.726265 0.687415i \(-0.241255\pi\)
−0.550857 + 0.834600i \(0.685699\pi\)
\(828\) −6.83103 11.8317i −0.237395 0.411180i
\(829\) 0.183461 0.317763i 0.00637185 0.0110364i −0.862822 0.505508i \(-0.831305\pi\)
0.869194 + 0.494472i \(0.164638\pi\)
\(830\) −3.57746 + 1.30209i −0.124176 + 0.0451962i
\(831\) −0.0255110 0.144680i −0.000884967 0.00501890i
\(832\) −1.10690 + 6.27755i −0.0383749 + 0.217635i
\(833\) −17.9615 6.53744i −0.622328 0.226509i
\(834\) 0.967947 0.812204i 0.0335172 0.0281243i
\(835\) −35.2978 −1.22153
\(836\) 3.56325 2.51063i 0.123238 0.0868319i
\(837\) −5.90502 −0.204107
\(838\) 9.21585 7.73302i 0.318356 0.267133i
\(839\) −22.7990 8.29817i −0.787110 0.286485i −0.0829758 0.996552i \(-0.526442\pi\)
−0.704134 + 0.710067i \(0.748665\pi\)
\(840\) −0.121958 + 0.691658i −0.00420795 + 0.0238645i
\(841\) −4.36396 24.7492i −0.150481 0.853422i
\(842\) −4.82920 + 1.75768i −0.166425 + 0.0605738i
\(843\) 0.128654 0.222835i 0.00443107 0.00767484i
\(844\) −8.35652 14.4739i −0.287643 0.498213i
\(845\) 39.9752 + 33.5432i 1.37519 + 1.15392i
\(846\) 0.328826 + 0.275918i 0.0113053 + 0.00948625i
\(847\) 1.90575 + 3.30086i 0.0654825 + 0.113419i
\(848\) −1.75141 + 3.03353i −0.0601437 + 0.104172i
\(849\) 0.0370898 0.0134996i 0.00127292 0.000463305i
\(850\) 0.632150 + 3.58510i 0.0216826 + 0.122968i
\(851\) −5.15672 + 29.2452i −0.176770 + 1.00251i
\(852\) −0.870096 0.316689i −0.0298090 0.0108496i
\(853\) 36.6793 30.7776i 1.25587 1.05380i 0.259766 0.965672i \(-0.416355\pi\)
0.996109 0.0881324i \(-0.0280898\pi\)
\(854\) −25.4763 −0.871780
\(855\) −6.30144 + 23.7964i −0.215505 + 0.813820i
\(856\) 4.27832 0.146230
\(857\) 17.6496 14.8098i 0.602900 0.505894i −0.289476 0.957185i \(-0.593481\pi\)
0.892376 + 0.451292i \(0.149037\pi\)
\(858\) 0.584463 + 0.212727i 0.0199532 + 0.00726238i
\(859\) 4.45250 25.2514i 0.151917 0.861565i −0.809633 0.586936i \(-0.800334\pi\)
0.961550 0.274629i \(-0.0885550\pi\)
\(860\) 3.18347 + 18.0544i 0.108556 + 0.615649i
\(861\) 0.414818 0.150981i 0.0141370 0.00514543i
\(862\) −19.1718 + 33.2066i −0.652995 + 1.13102i
\(863\) −1.35332 2.34401i −0.0460675 0.0797912i 0.842072 0.539365i \(-0.181336\pi\)
−0.888140 + 0.459574i \(0.848002\pi\)
\(864\) −0.447763 0.375717i −0.0152332 0.0127822i
\(865\) 22.8191 + 19.1475i 0.775874 + 0.651036i
\(866\) −4.08823 7.08102i −0.138924 0.240623i
\(867\) −0.514818 + 0.891690i −0.0174841 + 0.0302834i
\(868\) −36.1835 + 13.1697i −1.22815 + 0.447009i
\(869\) −0.147272 0.835224i −0.00499588 0.0283330i
\(870\) 0.0629375 0.356936i 0.00213378 0.0121013i
\(871\) −56.3097 20.4950i −1.90798 0.694448i
\(872\) −9.83905 + 8.25595i −0.333192 + 0.279582i
\(873\) 44.2105 1.49630
\(874\) 14.1224 + 14.0397i 0.477697 + 0.474901i
\(875\) 46.3091 1.56553
\(876\) −0.270831 + 0.227254i −0.00915051 + 0.00767819i
\(877\) −10.1049 3.67788i −0.341218 0.124193i 0.165727 0.986172i \(-0.447003\pi\)
−0.506945 + 0.861978i \(0.669225\pi\)
\(878\) −1.89738 + 10.7606i −0.0640335 + 0.363152i
\(879\) −0.229995 1.30437i −0.00775754 0.0439952i
\(880\) −1.77458 + 0.645895i −0.0598212 + 0.0217731i
\(881\) 2.06160 3.57080i 0.0694572 0.120303i −0.829205 0.558944i \(-0.811207\pi\)
0.898662 + 0.438641i \(0.144540\pi\)
\(882\) −11.2556 19.4952i −0.378995 0.656438i
\(883\) 8.73206 + 7.32707i 0.293857 + 0.246576i 0.777782 0.628534i \(-0.216345\pi\)
−0.483925 + 0.875110i \(0.660789\pi\)
\(884\) −12.3992 10.4041i −0.417029 0.349929i
\(885\) −0.857160 1.48465i −0.0288131 0.0499058i
\(886\) 19.9322 34.5237i 0.669637 1.15984i
\(887\) −3.92642 + 1.42910i −0.131836 + 0.0479845i −0.407096 0.913385i \(-0.633458\pi\)
0.275259 + 0.961370i \(0.411236\pi\)
\(888\) 0.110136 + 0.624613i 0.00369593 + 0.0209607i
\(889\) −7.72206 + 43.7940i −0.258989 + 1.46880i
\(890\) −4.40563 1.60352i −0.147677 0.0537500i
\(891\) 6.82883 5.73007i 0.228774 0.191965i
\(892\) −5.21375 −0.174569
\(893\) −0.567827 0.262756i −0.0190016 0.00879280i
\(894\) −1.69758 −0.0567756
\(895\) −17.3313 + 14.5427i −0.579323 + 0.486110i
\(896\) −3.58165 1.30361i −0.119654 0.0435507i
\(897\) −0.493420 + 2.79832i −0.0164748 + 0.0934333i
\(898\) −0.143352 0.812992i −0.00478373 0.0271299i
\(899\) 18.6728 6.79635i 0.622773 0.226671i
\(900\) −2.14369 + 3.71298i −0.0714563 + 0.123766i
\(901\) −4.44720 7.70278i −0.148158 0.256617i
\(902\) 0.909277 + 0.762974i 0.0302756 + 0.0254043i
\(903\) 2.76569 + 2.32069i 0.0920364 + 0.0772277i
\(904\) −7.34275 12.7180i −0.244216 0.422995i
\(905\) −6.98526 + 12.0988i −0.232198 + 0.402179i
\(906\) −0.0241428 + 0.00878727i −0.000802092 + 0.000291937i
\(907\) −4.97481 28.2136i −0.165186 0.936816i −0.948872 0.315660i \(-0.897774\pi\)
0.783686 0.621157i \(-0.213337\pi\)
\(908\) 0.239573 1.35869i 0.00795050 0.0450895i
\(909\) 12.5713 + 4.57558i 0.416963 + 0.151762i
\(910\) −35.1480 + 29.4926i −1.16514 + 0.977672i
\(911\) −16.2010 −0.536762 −0.268381 0.963313i \(-0.586489\pi\)
−0.268381 + 0.963313i \(0.586489\pi\)
\(912\) 0.385991 + 0.178613i 0.0127814 + 0.00591448i
\(913\) −2.01595 −0.0667181
\(914\) 7.88930 6.61991i 0.260955 0.218967i
\(915\) −1.15736 0.421243i −0.0382610 0.0139259i
\(916\) −2.97792 + 16.8886i −0.0983932 + 0.558016i
\(917\) −1.68954 9.58184i −0.0557934 0.316420i
\(918\) 1.39469 0.507627i 0.0460317 0.0167542i
\(919\) 29.4720 51.0469i 0.972190 1.68388i 0.283279 0.959038i \(-0.408578\pi\)
0.688911 0.724846i \(-0.258089\pi\)
\(920\) −4.31376 7.47165i −0.142220 0.246333i
\(921\) 2.18587 + 1.83416i 0.0720268 + 0.0604377i
\(922\) −3.38944 2.84407i −0.111625 0.0936646i
\(923\) −30.2453 52.3864i −0.995537 1.72432i
\(924\) −0.185951 + 0.322077i −0.00611735 + 0.0105956i
\(925\) 8.75718 3.18735i 0.287934 0.104800i
\(926\) −1.06603 6.04577i −0.0350320 0.198676i
\(927\) −7.06316 + 40.0572i −0.231985 + 1.31565i
\(928\) 1.84834 + 0.672742i 0.0606748 + 0.0220838i
\(929\) 9.57408 8.03361i 0.314115 0.263574i −0.472075 0.881558i \(-0.656495\pi\)
0.786191 + 0.617984i \(0.212050\pi\)
\(930\) −1.86153 −0.0610420
\(931\) 23.2696 + 23.1335i 0.762631 + 0.758168i
\(932\) 22.4644 0.735845
\(933\) −2.37750 + 1.99496i −0.0778358 + 0.0653120i
\(934\) −36.4794 13.2774i −1.19364 0.434451i
\(935\) 0.832683 4.72238i 0.0272317 0.154438i
\(936\) −3.31017 18.7729i −0.108196 0.613611i
\(937\) −18.9669 + 6.90339i −0.619622 + 0.225524i −0.632708 0.774390i \(-0.718057\pi\)
0.0130862 + 0.999914i \(0.495834\pi\)
\(938\) 17.9154 31.0303i 0.584957 1.01318i
\(939\) −0.963924 1.66957i −0.0314565 0.0544842i
\(940\) 0.207652 + 0.174241i 0.00677286 + 0.00568310i
\(941\) 1.25978 + 1.05708i 0.0410677 + 0.0344599i 0.663090 0.748539i \(-0.269244\pi\)
−0.622023 + 0.782999i \(0.713689\pi\)
\(942\) −0.392083 0.679108i −0.0127748 0.0221265i
\(943\) −2.71136 + 4.69622i −0.0882942 + 0.152930i
\(944\) 8.74249 3.18201i 0.284544 0.103565i
\(945\) −0.730586 4.14336i −0.0237660 0.134784i
\(946\) −1.68574 + 9.56031i −0.0548082 + 0.310832i
\(947\) −1.17825 0.428849i −0.0382880 0.0139357i 0.322805 0.946465i \(-0.395374\pi\)
−0.361093 + 0.932530i \(0.617596\pi\)
\(948\) 0.0633925 0.0531926i 0.00205889 0.00172761i
\(949\) −23.0967 −0.749751
\(950\) 1.59970 6.04103i 0.0519013 0.195997i
\(951\) 2.32884 0.0755180
\(952\) 7.41396 6.22105i 0.240288 0.201625i
\(953\) −45.0886 16.4109i −1.46056 0.531601i −0.515042 0.857165i \(-0.672224\pi\)
−0.945520 + 0.325563i \(0.894446\pi\)
\(954\) 1.81898 10.3160i 0.0588918 0.333992i
\(955\) 0.539699 + 3.06078i 0.0174642 + 0.0990447i
\(956\) −1.78313 + 0.649007i −0.0576706 + 0.0209904i
\(957\) 0.0959619 0.166211i 0.00310201 0.00537284i
\(958\) −3.42155 5.92630i −0.110545 0.191470i
\(959\) −41.4780 34.8042i −1.33939 1.12389i
\(960\) −0.141155 0.118443i −0.00455576 0.00382274i
\(961\) −35.5299 61.5396i −1.14613 1.98515i
\(962\) −20.7175 + 35.8837i −0.667958 + 1.15694i
\(963\) −12.0226 + 4.37588i −0.387424 + 0.141011i
\(964\) −3.40955 19.3365i −0.109814 0.622787i
\(965\) 1.57752 8.94658i 0.0507823 0.288001i
\(966\) −1.59658 0.581107i −0.0513691 0.0186968i
\(967\) 8.29571 6.96093i 0.266772 0.223848i −0.499582 0.866266i \(-0.666513\pi\)
0.766354 + 0.642418i \(0.222069\pi\)
\(968\) −1.00000 −0.0321412
\(969\) −0.882831 + 0.622034i −0.0283606 + 0.0199826i
\(970\) 27.9187 0.896415
\(971\) −28.3677 + 23.8033i −0.910362 + 0.763884i −0.972188 0.234203i \(-0.924752\pi\)
0.0618262 + 0.998087i \(0.480308\pi\)
\(972\) 2.46514 + 0.897238i 0.0790694 + 0.0287789i
\(973\) −8.57102 + 48.6087i −0.274774 + 1.55832i
\(974\) −6.43685 36.5052i −0.206250 1.16970i
\(975\) 0.837930 0.304982i 0.0268352 0.00976723i
\(976\) 3.34202 5.78854i 0.106975 0.185287i
\(977\) −12.1386 21.0247i −0.388348 0.672638i 0.603880 0.797076i \(-0.293621\pi\)
−0.992227 + 0.124437i \(0.960287\pi\)
\(978\) −0.0669590 0.0561853i −0.00214111 0.00179661i
\(979\) −1.90180 1.59580i −0.0607819 0.0510020i
\(980\) −7.10783 12.3111i −0.227051 0.393265i
\(981\) 19.2048 33.2637i 0.613163 1.06203i
\(982\) −14.9838 + 5.45365i −0.478151 + 0.174033i
\(983\) 5.53442 + 31.3872i 0.176520 + 1.00110i 0.936374 + 0.351003i \(0.114159\pi\)
−0.759854 + 0.650094i \(0.774730\pi\)
\(984\) −0.0201115 + 0.114058i −0.000641132 + 0.00363604i
\(985\) −43.8961 15.9769i −1.39865 0.509066i
\(986\) −3.82604 + 3.21043i −0.121846 + 0.102241i
\(987\) 0.0533827 0.00169919
\(988\) 11.8164 + 25.1475i 0.375931 + 0.800049i
\(989\) −44.3502 −1.41026
\(990\) 4.32619 3.63010i 0.137495 0.115372i
\(991\) −18.6992 6.80595i −0.593999 0.216198i 0.0274882 0.999622i \(-0.491249\pi\)
−0.621488 + 0.783424i \(0.713471\pi\)
\(992\) 1.75427 9.94899i 0.0556983 0.315881i
\(993\) 0.209550 + 1.18842i 0.00664986 + 0.0377132i
\(994\) 33.9885 12.3708i 1.07805 0.392378i
\(995\) −17.0064 + 29.4559i −0.539138 + 0.933815i
\(996\) −0.0983516 0.170350i −0.00311639 0.00539774i
\(997\) 1.05720 + 0.887099i 0.0334820 + 0.0280947i 0.659375 0.751814i \(-0.270821\pi\)
−0.625893 + 0.779909i \(0.715265\pi\)
\(998\) 13.5132 + 11.3390i 0.427754 + 0.358928i
\(999\) −1.89973 3.29043i −0.0601047 0.104104i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (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 418.2.j.c.177.3 yes 30
19.4 even 9 7942.2.a.bz.1.7 15
19.15 odd 18 7942.2.a.cb.1.9 15
19.16 even 9 inner 418.2.j.c.111.3 30
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
418.2.j.c.111.3 30 19.16 even 9 inner
418.2.j.c.177.3 yes 30 1.1 even 1 trivial
7942.2.a.bz.1.7 15 19.4 even 9
7942.2.a.cb.1.9 15 19.15 odd 18