Properties

Label 294.2.j.a.41.1
Level $294$
Weight $2$
Character 294.41
Analytic conductor $2.348$
Analytic rank $0$
Dimension $120$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [294,2,Mod(41,294)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(294, base_ring=CyclotomicField(14))
 
chi = DirichletCharacter(H, H._module([7, 5]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("294.41");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 294 = 2 \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 294.j (of order \(14\), 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: \(2.34760181943\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(20\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 41.1
Character \(\chi\) \(=\) 294.41
Dual form 294.2.j.a.251.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.781831 + 0.623490i) q^{2} +(-1.59440 + 0.676684i) q^{3} +(0.222521 - 0.974928i) q^{4} +(-2.59923 + 1.25172i) q^{5} +(0.824644 - 1.52314i) q^{6} +(-2.01156 + 1.71861i) q^{7} +(0.433884 + 0.900969i) q^{8} +(2.08420 - 2.15780i) q^{9} +O(q^{10})\) \(q+(-0.781831 + 0.623490i) q^{2} +(-1.59440 + 0.676684i) q^{3} +(0.222521 - 0.974928i) q^{4} +(-2.59923 + 1.25172i) q^{5} +(0.824644 - 1.52314i) q^{6} +(-2.01156 + 1.71861i) q^{7} +(0.433884 + 0.900969i) q^{8} +(2.08420 - 2.15780i) q^{9} +(1.25172 - 2.59923i) q^{10} +(3.63779 - 2.90104i) q^{11} +(0.304931 + 1.70500i) q^{12} +(-1.88273 + 1.50143i) q^{13} +(0.501162 - 2.59785i) q^{14} +(3.29718 - 3.75460i) q^{15} +(-0.900969 - 0.433884i) q^{16} +(-1.66757 - 7.30612i) q^{17} +(-0.284124 + 2.98652i) q^{18} -2.97594i q^{19} +(0.641956 + 2.81259i) q^{20} +(2.04426 - 4.10134i) q^{21} +(-1.03537 + 4.53625i) q^{22} +(4.11077 + 0.938257i) q^{23} +(-1.30145 - 1.14290i) q^{24} +(2.07173 - 2.59786i) q^{25} +(0.535854 - 2.34773i) q^{26} +(-1.86289 + 4.85074i) q^{27} +(1.22791 + 2.34355i) q^{28} +(-5.21333 + 1.18991i) q^{29} +(-0.236886 + 4.99122i) q^{30} -6.11012i q^{31} +(0.974928 - 0.222521i) q^{32} +(-3.83699 + 7.08705i) q^{33} +(5.85905 + 4.67244i) q^{34} +(3.07727 - 6.98498i) q^{35} +(-1.63993 - 2.51210i) q^{36} +(-0.628266 - 2.75262i) q^{37} +(1.85547 + 2.32669i) q^{38} +(1.98583 - 3.66789i) q^{39} +(-2.25553 - 1.79872i) q^{40} +(0.953462 - 0.459163i) q^{41} +(0.958874 + 4.48113i) q^{42} +(4.51390 + 2.17378i) q^{43} +(-2.01882 - 4.19213i) q^{44} +(-2.71634 + 8.21746i) q^{45} +(-3.79892 + 1.82947i) q^{46} +(-0.950670 - 1.19210i) q^{47} +(1.73010 + 0.0821117i) q^{48} +(1.09274 - 6.91418i) q^{49} +3.32279i q^{50} +(7.60270 + 10.5204i) q^{51} +(1.04484 + 2.16963i) q^{52} +(-10.0766 - 2.29992i) q^{53} +(-1.56792 - 4.95395i) q^{54} +(-5.82415 + 12.0940i) q^{55} +(-2.42120 - 1.06667i) q^{56} +(2.01377 + 4.74483i) q^{57} +(3.33405 - 4.18076i) q^{58} +(7.30136 + 3.51615i) q^{59} +(-2.92677 - 4.04999i) q^{60} +(-11.6609 + 2.66153i) q^{61} +(3.80960 + 4.77708i) q^{62} +(-0.484057 + 7.92248i) q^{63} +(-0.623490 + 0.781831i) q^{64} +(3.01428 - 6.25922i) q^{65} +(-1.41882 - 7.93320i) q^{66} -12.2733 q^{67} -7.49401 q^{68} +(-7.18910 + 1.28574i) q^{69} +(1.94916 + 7.37972i) q^{70} +(-12.9562 - 2.95718i) q^{71} +(2.84841 + 0.941562i) q^{72} +(-0.233828 - 0.186472i) q^{73} +(2.20743 + 1.76036i) q^{74} +(-1.54522 + 5.54393i) q^{75} +(-2.90133 - 0.662209i) q^{76} +(-2.33186 + 12.0876i) q^{77} +(0.734307 + 4.10582i) q^{78} +8.33881 q^{79} +2.88492 q^{80} +(-0.312232 - 8.99458i) q^{81} +(-0.459163 + 0.953462i) q^{82} +(8.04620 - 10.0896i) q^{83} +(-3.54362 - 2.90564i) q^{84} +(13.4796 + 16.9029i) q^{85} +(-4.88444 + 1.11484i) q^{86} +(7.50692 - 5.42496i) q^{87} +(4.19213 + 2.01882i) q^{88} +(-1.18218 + 1.48241i) q^{89} +(-2.99978 - 8.11828i) q^{90} +(1.20685 - 6.25591i) q^{91} +(1.82947 - 3.79892i) q^{92} +(4.13462 + 9.74195i) q^{93} +(1.48653 + 0.339290i) q^{94} +(3.72505 + 7.73515i) q^{95} +(-1.40385 + 1.01450i) q^{96} -5.44330i q^{97} +(3.45659 + 6.08704i) q^{98} +(1.32200 - 13.8960i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120 q + 20 q^{4} - 14 q^{6} + 4 q^{7} - 10 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 120 q + 20 q^{4} - 14 q^{6} + 4 q^{7} - 10 q^{9} + 12 q^{15} - 20 q^{16} - 8 q^{18} - 12 q^{21} - 10 q^{22} - 24 q^{25} + 42 q^{27} - 4 q^{28} + 8 q^{30} + 10 q^{36} - 58 q^{37} + 8 q^{39} - 14 q^{40} - 2 q^{42} - 12 q^{43} + 14 q^{45} - 60 q^{46} - 36 q^{49} - 24 q^{51} - 42 q^{52} - 14 q^{55} + 34 q^{57} + 50 q^{58} - 12 q^{60} - 154 q^{61} + 20 q^{64} - 28 q^{67} + 28 q^{69} - 38 q^{70} + 8 q^{72} - 84 q^{75} - 16 q^{78} + 16 q^{79} + 22 q^{81} - 30 q^{84} - 32 q^{85} - 56 q^{87} - 4 q^{88} - 42 q^{90} + 88 q^{91} + 14 q^{93} + 112 q^{94} - 224 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/294\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(199\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{14}\right)\)

Coefficient data

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



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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.781831 + 0.623490i −0.552838 + 0.440874i
\(3\) −1.59440 + 0.676684i −0.920525 + 0.390683i
\(4\) 0.222521 0.974928i 0.111260 0.487464i
\(5\) −2.59923 + 1.25172i −1.16241 + 0.559787i −0.912739 0.408544i \(-0.866037\pi\)
−0.249671 + 0.968331i \(0.580322\pi\)
\(6\) 0.824644 1.52314i 0.336659 0.621820i
\(7\) −2.01156 + 1.71861i −0.760298 + 0.649575i
\(8\) 0.433884 + 0.900969i 0.153401 + 0.318541i
\(9\) 2.08420 2.15780i 0.694733 0.719268i
\(10\) 1.25172 2.59923i 0.395829 0.821948i
\(11\) 3.63779 2.90104i 1.09684 0.874697i 0.104047 0.994572i \(-0.466821\pi\)
0.992789 + 0.119875i \(0.0382494\pi\)
\(12\) 0.304931 + 1.70500i 0.0880260 + 0.492190i
\(13\) −1.88273 + 1.50143i −0.522177 + 0.416422i −0.848785 0.528738i \(-0.822666\pi\)
0.326609 + 0.945160i \(0.394094\pi\)
\(14\) 0.501162 2.59785i 0.133941 0.694305i
\(15\) 3.29718 3.75460i 0.851328 0.969432i
\(16\) −0.900969 0.433884i −0.225242 0.108471i
\(17\) −1.66757 7.30612i −0.404446 1.77199i −0.609032 0.793145i \(-0.708442\pi\)
0.204586 0.978849i \(-0.434415\pi\)
\(18\) −0.284124 + 2.98652i −0.0669686 + 0.703928i
\(19\) 2.97594i 0.682728i −0.939931 0.341364i \(-0.889111\pi\)
0.939931 0.341364i \(-0.110889\pi\)
\(20\) 0.641956 + 2.81259i 0.143546 + 0.628915i
\(21\) 2.04426 4.10134i 0.446095 0.894986i
\(22\) −1.03537 + 4.53625i −0.220742 + 0.967132i
\(23\) 4.11077 + 0.938257i 0.857155 + 0.195640i 0.628444 0.777854i \(-0.283692\pi\)
0.228710 + 0.973494i \(0.426549\pi\)
\(24\) −1.30145 1.14290i −0.265658 0.233293i
\(25\) 2.07173 2.59786i 0.414345 0.519573i
\(26\) 0.535854 2.34773i 0.105090 0.460428i
\(27\) −1.86289 + 4.85074i −0.358513 + 0.933525i
\(28\) 1.22791 + 2.34355i 0.232053 + 0.442890i
\(29\) −5.21333 + 1.18991i −0.968090 + 0.220960i −0.677202 0.735797i \(-0.736808\pi\)
−0.290888 + 0.956757i \(0.593951\pi\)
\(30\) −0.236886 + 4.99122i −0.0432493 + 0.911268i
\(31\) 6.11012i 1.09741i −0.836016 0.548705i \(-0.815121\pi\)
0.836016 0.548705i \(-0.184879\pi\)
\(32\) 0.974928 0.222521i 0.172345 0.0393365i
\(33\) −3.83699 + 7.08705i −0.667935 + 1.23370i
\(34\) 5.85905 + 4.67244i 1.00482 + 0.801317i
\(35\) 3.07727 6.98498i 0.520154 1.18068i
\(36\) −1.63993 2.51210i −0.273321 0.418683i
\(37\) −0.628266 2.75262i −0.103286 0.452527i −0.999952 0.00981833i \(-0.996875\pi\)
0.896665 0.442709i \(-0.145982\pi\)
\(38\) 1.85547 + 2.32669i 0.300997 + 0.377438i
\(39\) 1.98583 3.66789i 0.317987 0.587333i
\(40\) −2.25553 1.79872i −0.356630 0.284403i
\(41\) 0.953462 0.459163i 0.148906 0.0717092i −0.357947 0.933742i \(-0.616523\pi\)
0.506853 + 0.862033i \(0.330809\pi\)
\(42\) 0.958874 + 4.48113i 0.147957 + 0.691454i
\(43\) 4.51390 + 2.17378i 0.688363 + 0.331498i 0.745158 0.666888i \(-0.232374\pi\)
−0.0567950 + 0.998386i \(0.518088\pi\)
\(44\) −2.01882 4.19213i −0.304349 0.631987i
\(45\) −2.71634 + 8.21746i −0.404927 + 1.22499i
\(46\) −3.79892 + 1.82947i −0.560121 + 0.269740i
\(47\) −0.950670 1.19210i −0.138669 0.173886i 0.707647 0.706566i \(-0.249757\pi\)
−0.846317 + 0.532680i \(0.821185\pi\)
\(48\) 1.73010 + 0.0821117i 0.249719 + 0.0118518i
\(49\) 1.09274 6.91418i 0.156105 0.987740i
\(50\) 3.32279i 0.469914i
\(51\) 7.60270 + 10.5204i 1.06459 + 1.47315i
\(52\) 1.04484 + 2.16963i 0.144893 + 0.300874i
\(53\) −10.0766 2.29992i −1.38413 0.315918i −0.535332 0.844642i \(-0.679814\pi\)
−0.848794 + 0.528724i \(0.822671\pi\)
\(54\) −1.56792 4.95395i −0.213367 0.674147i
\(55\) −5.82415 + 12.0940i −0.785328 + 1.63075i
\(56\) −2.42120 1.06667i −0.323546 0.142540i
\(57\) 2.01377 + 4.74483i 0.266731 + 0.628468i
\(58\) 3.33405 4.18076i 0.437782 0.548961i
\(59\) 7.30136 + 3.51615i 0.950556 + 0.457764i 0.843881 0.536530i \(-0.180265\pi\)
0.106675 + 0.994294i \(0.465980\pi\)
\(60\) −2.92677 4.04999i −0.377844 0.522851i
\(61\) −11.6609 + 2.66153i −1.49303 + 0.340774i −0.889637 0.456669i \(-0.849042\pi\)
−0.603394 + 0.797444i \(0.706185\pi\)
\(62\) 3.80960 + 4.77708i 0.483819 + 0.606690i
\(63\) −0.484057 + 7.92248i −0.0609855 + 0.998139i
\(64\) −0.623490 + 0.781831i −0.0779362 + 0.0977289i
\(65\) 3.01428 6.25922i 0.373876 0.776361i
\(66\) −1.41882 7.93320i −0.174644 0.976510i
\(67\) −12.2733 −1.49942 −0.749712 0.661764i \(-0.769808\pi\)
−0.749712 + 0.661764i \(0.769808\pi\)
\(68\) −7.49401 −0.908782
\(69\) −7.18910 + 1.28574i −0.865466 + 0.154785i
\(70\) 1.94916 + 7.37972i 0.232969 + 0.882046i
\(71\) −12.9562 2.95718i −1.53762 0.350952i −0.631977 0.774988i \(-0.717756\pi\)
−0.905646 + 0.424035i \(0.860613\pi\)
\(72\) 2.84841 + 0.941562i 0.335689 + 0.110964i
\(73\) −0.233828 0.186472i −0.0273676 0.0218249i 0.609711 0.792624i \(-0.291286\pi\)
−0.637078 + 0.770799i \(0.719857\pi\)
\(74\) 2.20743 + 1.76036i 0.256608 + 0.204638i
\(75\) −1.54522 + 5.54393i −0.178427 + 0.640157i
\(76\) −2.90133 0.662209i −0.332805 0.0759606i
\(77\) −2.33186 + 12.0876i −0.265740 + 1.37751i
\(78\) 0.734307 + 4.10582i 0.0831439 + 0.464892i
\(79\) 8.33881 0.938189 0.469095 0.883148i \(-0.344580\pi\)
0.469095 + 0.883148i \(0.344580\pi\)
\(80\) 2.88492 0.322544
\(81\) −0.312232 8.99458i −0.0346924 0.999398i
\(82\) −0.459163 + 0.953462i −0.0507061 + 0.105292i
\(83\) 8.04620 10.0896i 0.883185 1.10748i −0.110343 0.993894i \(-0.535195\pi\)
0.993528 0.113585i \(-0.0362335\pi\)
\(84\) −3.54362 2.90564i −0.386641 0.317032i
\(85\) 13.4796 + 16.9029i 1.46207 + 1.83338i
\(86\) −4.88444 + 1.11484i −0.526703 + 0.120216i
\(87\) 7.50692 5.42496i 0.804826 0.581616i
\(88\) 4.19213 + 2.01882i 0.446882 + 0.215207i
\(89\) −1.18218 + 1.48241i −0.125311 + 0.157135i −0.840529 0.541766i \(-0.817756\pi\)
0.715218 + 0.698901i \(0.246327\pi\)
\(90\) −2.99978 8.11828i −0.316205 0.855741i
\(91\) 1.20685 6.25591i 0.126512 0.655797i
\(92\) 1.82947 3.79892i 0.190735 0.396065i
\(93\) 4.13462 + 9.74195i 0.428740 + 1.01019i
\(94\) 1.48653 + 0.339290i 0.153324 + 0.0349951i
\(95\) 3.72505 + 7.73515i 0.382182 + 0.793610i
\(96\) −1.40385 + 1.01450i −0.143279 + 0.103542i
\(97\) 5.44330i 0.552683i −0.961059 0.276342i \(-0.910878\pi\)
0.961059 0.276342i \(-0.0891221\pi\)
\(98\) 3.45659 + 6.08704i 0.349168 + 0.614883i
\(99\) 1.32200 13.8960i 0.132866 1.39660i
\(100\) −2.07173 2.59786i −0.207173 0.259786i
\(101\) 0.422700 0.203561i 0.0420602 0.0202551i −0.412735 0.910851i \(-0.635427\pi\)
0.454796 + 0.890596i \(0.349712\pi\)
\(102\) −12.5034 3.48499i −1.23802 0.345066i
\(103\) −0.0868796 0.180407i −0.00856050 0.0177761i 0.896645 0.442751i \(-0.145997\pi\)
−0.905205 + 0.424975i \(0.860283\pi\)
\(104\) −2.16963 1.04484i −0.212750 0.102455i
\(105\) −0.179769 + 13.2192i −0.0175437 + 1.29006i
\(106\) 9.31217 4.48450i 0.904478 0.435574i
\(107\) −3.49879 2.79020i −0.338241 0.269738i 0.439607 0.898190i \(-0.355118\pi\)
−0.777849 + 0.628452i \(0.783689\pi\)
\(108\) 4.31459 + 2.89557i 0.415171 + 0.278627i
\(109\) −5.21135 6.53483i −0.499157 0.625923i 0.466882 0.884320i \(-0.345377\pi\)
−0.966039 + 0.258397i \(0.916806\pi\)
\(110\) −2.98697 13.0867i −0.284796 1.24777i
\(111\) 2.86436 + 3.96362i 0.271873 + 0.376210i
\(112\) 2.55803 0.675635i 0.241711 0.0638415i
\(113\) −6.77014 5.39901i −0.636881 0.507896i 0.250989 0.967990i \(-0.419244\pi\)
−0.887870 + 0.460094i \(0.847816\pi\)
\(114\) −4.53278 2.45409i −0.424534 0.229847i
\(115\) −11.8593 + 2.70680i −1.10588 + 0.252410i
\(116\) 5.34740i 0.496493i
\(117\) −0.684200 + 7.19185i −0.0632543 + 0.664887i
\(118\) −7.90071 + 1.80329i −0.727320 + 0.166006i
\(119\) 15.9108 + 11.8308i 1.45854 + 1.08452i
\(120\) 4.81337 + 1.34160i 0.439398 + 0.122471i
\(121\) 2.36976 10.3826i 0.215432 0.943871i
\(122\) 7.45745 9.35135i 0.675166 0.846631i
\(123\) −1.20949 + 1.37728i −0.109056 + 0.124185i
\(124\) −5.95692 1.35963i −0.534947 0.122098i
\(125\) 1.07669 4.71731i 0.0963025 0.421929i
\(126\) −4.56113 6.49585i −0.406338 0.578696i
\(127\) −3.93570 17.2434i −0.349237 1.53011i −0.778918 0.627126i \(-0.784231\pi\)
0.429682 0.902981i \(-0.358626\pi\)
\(128\) 1.00000i 0.0883883i
\(129\) −8.66791 0.411384i −0.763167 0.0362204i
\(130\) 1.54590 + 6.77303i 0.135584 + 0.594034i
\(131\) 16.1430 + 7.77407i 1.41042 + 0.679223i 0.975246 0.221122i \(-0.0709720\pi\)
0.435176 + 0.900346i \(0.356686\pi\)
\(132\) 6.05555 + 5.31781i 0.527068 + 0.462856i
\(133\) 5.11449 + 5.98628i 0.443483 + 0.519076i
\(134\) 9.59567 7.65229i 0.828939 0.661057i
\(135\) −1.22970 14.9400i −0.105836 1.28583i
\(136\) 5.85905 4.67244i 0.502410 0.400658i
\(137\) −0.289063 + 0.600245i −0.0246963 + 0.0512824i −0.912952 0.408067i \(-0.866203\pi\)
0.888256 + 0.459349i \(0.151917\pi\)
\(138\) 4.81902 5.48756i 0.410222 0.467132i
\(139\) 5.46640 + 11.3511i 0.463654 + 0.962787i 0.993408 + 0.114636i \(0.0365701\pi\)
−0.529754 + 0.848152i \(0.677716\pi\)
\(140\) −6.12509 4.55442i −0.517665 0.384919i
\(141\) 2.32242 + 1.25738i 0.195583 + 0.105891i
\(142\) 11.9734 5.76607i 1.00478 0.483878i
\(143\) −2.49328 + 10.9238i −0.208499 + 0.913493i
\(144\) −2.81403 + 1.03981i −0.234503 + 0.0866512i
\(145\) 12.0612 9.61847i 1.00163 0.798771i
\(146\) 0.299078 0.0247519
\(147\) 2.93646 + 11.7634i 0.242195 + 0.970228i
\(148\) −2.82340 −0.232082
\(149\) 0.178248 0.142148i 0.0146027 0.0116452i −0.616161 0.787620i \(-0.711313\pi\)
0.630764 + 0.775975i \(0.282742\pi\)
\(150\) −2.24848 5.29785i −0.183587 0.432567i
\(151\) 2.82839 12.3920i 0.230171 1.00845i −0.719326 0.694672i \(-0.755549\pi\)
0.949498 0.313774i \(-0.101594\pi\)
\(152\) 2.68123 1.29121i 0.217477 0.104731i
\(153\) −19.2407 11.6291i −1.55552 0.940157i
\(154\) −5.71336 10.9043i −0.460396 0.878697i
\(155\) 7.64817 + 15.8816i 0.614316 + 1.27564i
\(156\) −3.13404 2.75222i −0.250924 0.220354i
\(157\) 6.13153 12.7323i 0.489350 1.01614i −0.499373 0.866387i \(-0.666436\pi\)
0.988723 0.149758i \(-0.0478494\pi\)
\(158\) −6.51954 + 5.19916i −0.518667 + 0.413623i
\(159\) 17.6224 3.15169i 1.39755 0.249945i
\(160\) −2.25553 + 1.79872i −0.178315 + 0.142201i
\(161\) −9.88156 + 5.17747i −0.778776 + 0.408042i
\(162\) 5.85214 + 6.83757i 0.459788 + 0.537211i
\(163\) 9.00713 + 4.33761i 0.705493 + 0.339747i 0.751993 0.659171i \(-0.229093\pi\)
−0.0465003 + 0.998918i \(0.514807\pi\)
\(164\) −0.235486 1.03173i −0.0183883 0.0805645i
\(165\) 1.10221 23.2237i 0.0858070 1.80796i
\(166\) 12.9051i 1.00163i
\(167\) −0.736547 3.22702i −0.0569957 0.249715i 0.938402 0.345546i \(-0.112306\pi\)
−0.995398 + 0.0958312i \(0.969449\pi\)
\(168\) 4.58215 + 0.0623134i 0.353521 + 0.00480758i
\(169\) −1.60238 + 7.02047i −0.123260 + 0.540036i
\(170\) −21.0776 4.81083i −1.61658 0.368973i
\(171\) −6.42150 6.20245i −0.491064 0.474314i
\(172\) 3.12372 3.91702i 0.238181 0.298670i
\(173\) −5.27591 + 23.1153i −0.401120 + 1.75742i 0.221758 + 0.975102i \(0.428820\pi\)
−0.622878 + 0.782319i \(0.714037\pi\)
\(174\) −2.48674 + 8.92189i −0.188519 + 0.676367i
\(175\) 0.297323 + 8.78625i 0.0224755 + 0.664178i
\(176\) −4.53625 + 1.03537i −0.341933 + 0.0780440i
\(177\) −14.0206 0.665425i −1.05385 0.0500164i
\(178\) 1.89607i 0.142117i
\(179\) −12.0722 + 2.75541i −0.902322 + 0.205949i −0.648422 0.761281i \(-0.724571\pi\)
−0.253900 + 0.967230i \(0.581713\pi\)
\(180\) 7.40699 + 4.47679i 0.552084 + 0.333680i
\(181\) −7.05221 5.62395i −0.524186 0.418025i 0.325319 0.945604i \(-0.394528\pi\)
−0.849506 + 0.527579i \(0.823100\pi\)
\(182\) 2.95694 + 5.64353i 0.219183 + 0.418326i
\(183\) 16.7911 12.1343i 1.24124 0.896994i
\(184\) 0.938257 + 4.11077i 0.0691692 + 0.303050i
\(185\) 5.07852 + 6.36826i 0.373380 + 0.468204i
\(186\) −9.30658 5.03867i −0.682391 0.369453i
\(187\) −27.2617 21.7404i −1.99357 1.58982i
\(188\) −1.37376 + 0.661567i −0.100192 + 0.0482497i
\(189\) −4.58923 12.9591i −0.333818 0.942638i
\(190\) −7.73515 3.72505i −0.561167 0.270244i
\(191\) −3.52413 7.31792i −0.254997 0.529506i 0.733693 0.679481i \(-0.237795\pi\)
−0.988690 + 0.149975i \(0.952081\pi\)
\(192\) 0.465037 1.66845i 0.0335612 0.120410i
\(193\) 10.4257 5.02073i 0.750455 0.361400i −0.0192375 0.999815i \(-0.506124\pi\)
0.769692 + 0.638415i \(0.220410\pi\)
\(194\) 3.39384 + 4.25574i 0.243664 + 0.305544i
\(195\) −0.570447 + 12.0194i −0.0408506 + 0.860726i
\(196\) −6.49767 2.60389i −0.464120 0.185992i
\(197\) 13.9770i 0.995822i 0.867228 + 0.497911i \(0.165899\pi\)
−0.867228 + 0.497911i \(0.834101\pi\)
\(198\) 7.63043 + 11.6886i 0.542271 + 0.830671i
\(199\) 0.920359 + 1.91114i 0.0652425 + 0.135477i 0.931040 0.364917i \(-0.118903\pi\)
−0.865798 + 0.500394i \(0.833188\pi\)
\(200\) 3.23948 + 0.739391i 0.229066 + 0.0522828i
\(201\) 19.5685 8.30515i 1.38026 0.585800i
\(202\) −0.203561 + 0.422700i −0.0143225 + 0.0297410i
\(203\) 8.44192 11.3533i 0.592507 0.796843i
\(204\) 11.9484 5.07107i 0.836557 0.355046i
\(205\) −1.90352 + 2.38694i −0.132948 + 0.166711i
\(206\) 0.180407 + 0.0868796i 0.0125696 + 0.00605319i
\(207\) 10.5922 6.91472i 0.736211 0.480606i
\(208\) 2.34773 0.535854i 0.162786 0.0371548i
\(209\) −8.63334 10.8259i −0.597180 0.748840i
\(210\) −8.10146 10.4472i −0.559054 0.720928i
\(211\) −17.3525 + 21.7593i −1.19459 + 1.49797i −0.373067 + 0.927804i \(0.621694\pi\)
−0.821527 + 0.570170i \(0.806878\pi\)
\(212\) −4.48450 + 9.31217i −0.307997 + 0.639562i
\(213\) 22.6584 4.05236i 1.55253 0.277663i
\(214\) 4.47513 0.305913
\(215\) −14.4536 −0.985729
\(216\) −5.17864 + 0.426252i −0.352362 + 0.0290027i
\(217\) 10.5009 + 12.2909i 0.712849 + 0.834358i
\(218\) 8.14879 + 1.85991i 0.551906 + 0.125969i
\(219\) 0.498998 + 0.139082i 0.0337191 + 0.00939831i
\(220\) 10.4948 + 8.36929i 0.707556 + 0.564257i
\(221\) 14.1092 + 11.2517i 0.949089 + 0.756873i
\(222\) −4.71072 1.31299i −0.316163 0.0881220i
\(223\) 3.50751 + 0.800567i 0.234881 + 0.0536100i 0.338341 0.941024i \(-0.390134\pi\)
−0.103460 + 0.994634i \(0.532991\pi\)
\(224\) −1.57870 + 2.12314i −0.105481 + 0.141858i
\(225\) −1.28779 9.88484i −0.0858525 0.658989i
\(226\) 8.65933 0.576010
\(227\) −14.7267 −0.977448 −0.488724 0.872438i \(-0.662538\pi\)
−0.488724 + 0.872438i \(0.662538\pi\)
\(228\) 5.07397 0.907458i 0.336032 0.0600978i
\(229\) −6.82289 + 14.1679i −0.450869 + 0.936239i 0.544376 + 0.838841i \(0.316766\pi\)
−0.995245 + 0.0973984i \(0.968948\pi\)
\(230\) 7.58428 9.51039i 0.500093 0.627097i
\(231\) −4.46155 20.8503i −0.293549 1.37185i
\(232\) −3.33405 4.18076i −0.218891 0.274481i
\(233\) 10.0999 2.30524i 0.661667 0.151021i 0.121516 0.992589i \(-0.461224\pi\)
0.540151 + 0.841568i \(0.318367\pi\)
\(234\) −3.94912 6.04941i −0.258162 0.395462i
\(235\) 3.96319 + 1.90857i 0.258530 + 0.124501i
\(236\) 5.05270 6.33588i 0.328903 0.412431i
\(237\) −13.2954 + 5.64273i −0.863627 + 0.366535i
\(238\) −19.8159 + 0.670564i −1.28448 + 0.0434662i
\(239\) 1.82199 3.78341i 0.117855 0.244728i −0.833693 0.552228i \(-0.813778\pi\)
0.951548 + 0.307499i \(0.0994922\pi\)
\(240\) −4.59971 + 1.95218i −0.296910 + 0.126013i
\(241\) −14.6559 3.34511i −0.944068 0.215477i −0.277334 0.960774i \(-0.589451\pi\)
−0.666734 + 0.745296i \(0.732308\pi\)
\(242\) 4.62068 + 9.59495i 0.297029 + 0.616786i
\(243\) 6.58431 + 14.1296i 0.422384 + 0.906417i
\(244\) 11.9608i 0.765713i
\(245\) 5.81437 + 19.3393i 0.371466 + 1.23554i
\(246\) 0.0868958 1.83090i 0.00554027 0.116734i
\(247\) 4.46817 + 5.60291i 0.284303 + 0.356505i
\(248\) 5.50502 2.65108i 0.349569 0.168344i
\(249\) −6.00135 + 21.5316i −0.380320 + 1.36451i
\(250\) 2.09940 + 4.35945i 0.132778 + 0.275716i
\(251\) −9.61968 4.63260i −0.607189 0.292407i 0.104915 0.994481i \(-0.466543\pi\)
−0.712104 + 0.702074i \(0.752257\pi\)
\(252\) 7.61613 + 2.23484i 0.479771 + 0.140782i
\(253\) 17.6761 8.51234i 1.11128 0.535166i
\(254\) 13.8281 + 11.0276i 0.867655 + 0.691932i
\(255\) −32.9298 17.8285i −2.06214 1.11646i
\(256\) 0.623490 + 0.781831i 0.0389681 + 0.0488645i
\(257\) −5.20624 22.8100i −0.324756 1.42285i −0.828980 0.559278i \(-0.811079\pi\)
0.504224 0.863573i \(-0.331779\pi\)
\(258\) 7.03334 5.08272i 0.437876 0.316436i
\(259\) 5.99448 + 4.45730i 0.372479 + 0.276963i
\(260\) −5.43155 4.33151i −0.336850 0.268629i
\(261\) −8.29802 + 13.7293i −0.513635 + 0.849825i
\(262\) −17.4682 + 3.98700i −1.07919 + 0.246317i
\(263\) 6.88819i 0.424744i 0.977189 + 0.212372i \(0.0681189\pi\)
−0.977189 + 0.212372i \(0.931881\pi\)
\(264\) −8.05002 0.382059i −0.495444 0.0235141i
\(265\) 29.0702 6.63508i 1.78577 0.407590i
\(266\) −7.73106 1.49143i −0.474022 0.0914453i
\(267\) 0.881745 3.16351i 0.0539619 0.193604i
\(268\) −2.73107 + 11.9656i −0.166827 + 0.730915i
\(269\) 14.1801 17.7812i 0.864574 1.08414i −0.131113 0.991367i \(-0.541855\pi\)
0.995687 0.0927745i \(-0.0295736\pi\)
\(270\) 10.2763 + 10.9138i 0.625399 + 0.664195i
\(271\) 10.5677 + 2.41201i 0.641942 + 0.146519i 0.531087 0.847318i \(-0.321784\pi\)
0.110855 + 0.993837i \(0.464641\pi\)
\(272\) −1.66757 + 7.30612i −0.101112 + 0.442998i
\(273\) 2.30907 + 10.7911i 0.139751 + 0.653104i
\(274\) −0.148248 0.649518i −0.00895600 0.0392388i
\(275\) 15.4607i 0.932312i
\(276\) −0.346223 + 7.29496i −0.0208402 + 0.439105i
\(277\) 2.45017 + 10.7349i 0.147217 + 0.644998i 0.993651 + 0.112505i \(0.0358875\pi\)
−0.846435 + 0.532493i \(0.821255\pi\)
\(278\) −11.3511 5.46640i −0.680793 0.327853i
\(279\) −13.1844 12.7347i −0.789331 0.762406i
\(280\) 7.62843 0.258143i 0.455886 0.0154270i
\(281\) −4.52326 + 3.60718i −0.269835 + 0.215186i −0.749054 0.662509i \(-0.769492\pi\)
0.479219 + 0.877696i \(0.340920\pi\)
\(282\) −2.59971 + 0.464946i −0.154810 + 0.0276871i
\(283\) −25.0068 + 19.9423i −1.48650 + 1.18544i −0.549808 + 0.835291i \(0.685299\pi\)
−0.936692 + 0.350153i \(0.886130\pi\)
\(284\) −5.76607 + 11.9734i −0.342153 + 0.710488i
\(285\) −11.1735 9.81221i −0.661859 0.581225i
\(286\) −4.86154 10.0951i −0.287469 0.596936i
\(287\) −1.12882 + 2.56226i −0.0666321 + 0.151246i
\(288\) 1.55179 2.56748i 0.0914399 0.151290i
\(289\) −35.2821 + 16.9910i −2.07542 + 0.999468i
\(290\) −3.43279 + 15.0401i −0.201581 + 0.883182i
\(291\) 3.68339 + 8.67877i 0.215924 + 0.508759i
\(292\) −0.233828 + 0.186472i −0.0136838 + 0.0109124i
\(293\) −9.91912 −0.579481 −0.289741 0.957105i \(-0.593569\pi\)
−0.289741 + 0.957105i \(0.593569\pi\)
\(294\) −9.63017 7.36613i −0.561643 0.429601i
\(295\) −23.3791 −1.36119
\(296\) 2.20743 1.76036i 0.128304 0.102319i
\(297\) 7.29539 + 23.0503i 0.423322 + 1.33751i
\(298\) −0.0507321 + 0.222272i −0.00293883 + 0.0128759i
\(299\) −9.14822 + 4.40555i −0.529055 + 0.254779i
\(300\) 5.06108 + 2.74012i 0.292202 + 0.158201i
\(301\) −12.8159 + 3.38497i −0.738694 + 0.195106i
\(302\) 5.51496 + 11.4519i 0.317350 + 0.658985i
\(303\) −0.536204 + 0.610591i −0.0308041 + 0.0350776i
\(304\) −1.29121 + 2.68123i −0.0740561 + 0.153779i
\(305\) 26.9779 21.5142i 1.54475 1.23190i
\(306\) 22.2936 2.90439i 1.27444 0.166033i
\(307\) 5.98865 4.77579i 0.341790 0.272569i −0.437518 0.899210i \(-0.644142\pi\)
0.779308 + 0.626641i \(0.215571\pi\)
\(308\) 11.2656 + 4.96314i 0.641919 + 0.282801i
\(309\) 0.260599 + 0.228851i 0.0148250 + 0.0130189i
\(310\) −15.8816 7.64817i −0.902013 0.434387i
\(311\) 3.66299 + 16.0486i 0.207709 + 0.910034i 0.966087 + 0.258218i \(0.0831353\pi\)
−0.758377 + 0.651816i \(0.774008\pi\)
\(312\) 4.16627 + 0.197734i 0.235869 + 0.0111945i
\(313\) 25.1309i 1.42048i 0.703957 + 0.710242i \(0.251415\pi\)
−0.703957 + 0.710242i \(0.748585\pi\)
\(314\) 3.14461 + 13.7774i 0.177460 + 0.777505i
\(315\) −8.65857 21.1982i −0.487855 1.19439i
\(316\) 1.85556 8.12974i 0.104383 0.457333i
\(317\) 11.5423 + 2.63445i 0.648278 + 0.147965i 0.534001 0.845484i \(-0.320688\pi\)
0.114277 + 0.993449i \(0.463545\pi\)
\(318\) −11.8127 + 13.4515i −0.662423 + 0.754321i
\(319\) −15.5130 + 19.4527i −0.868563 + 1.08914i
\(320\) 0.641956 2.81259i 0.0358864 0.157229i
\(321\) 7.46654 + 2.08110i 0.416742 + 0.116156i
\(322\) 4.49761 10.2090i 0.250642 0.568923i
\(323\) −21.7426 + 4.96260i −1.20979 + 0.276127i
\(324\) −8.83855 1.69708i −0.491030 0.0942822i
\(325\) 8.00164i 0.443851i
\(326\) −9.74651 + 2.22458i −0.539809 + 0.123208i
\(327\) 12.7310 + 6.89267i 0.704024 + 0.381165i
\(328\) 0.827383 + 0.659816i 0.0456846 + 0.0364322i
\(329\) 3.96109 + 0.764150i 0.218382 + 0.0421289i
\(330\) 13.6180 + 18.8442i 0.749646 + 1.03734i
\(331\) −3.53714 15.4972i −0.194419 0.851803i −0.974188 0.225737i \(-0.927521\pi\)
0.779770 0.626066i \(-0.215336\pi\)
\(332\) −8.04620 10.0896i −0.441592 0.553739i
\(333\) −7.24904 4.38132i −0.397245 0.240095i
\(334\) 2.58787 + 2.06376i 0.141602 + 0.112924i
\(335\) 31.9011 15.3628i 1.74295 0.839359i
\(336\) −3.62132 + 2.80821i −0.197559 + 0.153200i
\(337\) 3.25821 + 1.56907i 0.177486 + 0.0854727i 0.520517 0.853851i \(-0.325739\pi\)
−0.343031 + 0.939324i \(0.611454\pi\)
\(338\) −3.12440 6.48789i −0.169945 0.352895i
\(339\) 14.4477 + 4.02691i 0.784691 + 0.218712i
\(340\) 19.4786 9.38042i 1.05638 0.508724i
\(341\) −17.7257 22.2273i −0.959901 1.20368i
\(342\) 8.88770 + 0.845535i 0.480592 + 0.0457213i
\(343\) 9.68471 + 15.7863i 0.522925 + 0.852379i
\(344\) 5.01005i 0.270124i
\(345\) 17.0767 12.3407i 0.919380 0.664400i
\(346\) −10.2873 21.3617i −0.553046 1.14841i
\(347\) −26.0935 5.95567i −1.40077 0.319717i −0.545593 0.838050i \(-0.683696\pi\)
−0.855179 + 0.518333i \(0.826553\pi\)
\(348\) −3.61850 8.52587i −0.193972 0.457035i
\(349\) 10.2383 21.2600i 0.548041 1.13802i −0.424530 0.905414i \(-0.639561\pi\)
0.972571 0.232605i \(-0.0747251\pi\)
\(350\) −5.71059 6.68399i −0.305244 0.357274i
\(351\) −3.77572 11.9296i −0.201533 0.636757i
\(352\) 2.90104 3.63779i 0.154626 0.193895i
\(353\) 2.87388 + 1.38399i 0.152961 + 0.0736621i 0.508798 0.860886i \(-0.330090\pi\)
−0.355837 + 0.934548i \(0.615804\pi\)
\(354\) 11.3766 8.22144i 0.604660 0.436964i
\(355\) 37.3778 8.53123i 1.98381 0.452791i
\(356\) 1.18218 + 1.48241i 0.0626555 + 0.0785675i
\(357\) −33.3738 8.09635i −1.76633 0.428504i
\(358\) 7.72049 9.68119i 0.408040 0.511667i
\(359\) 13.3455 27.7123i 0.704350 1.46260i −0.174083 0.984731i \(-0.555696\pi\)
0.878432 0.477867i \(-0.158590\pi\)
\(360\) −8.58225 + 1.11809i −0.452324 + 0.0589284i
\(361\) 10.1438 0.533883
\(362\) 9.02011 0.474087
\(363\) 3.24739 + 18.1575i 0.170444 + 0.953023i
\(364\) −5.83051 2.56866i −0.305602 0.134635i
\(365\) 0.841184 + 0.191995i 0.0440296 + 0.0100495i
\(366\) −5.56223 + 19.9561i −0.290742 + 1.04312i
\(367\) 17.0204 + 13.5733i 0.888458 + 0.708521i 0.957297 0.289106i \(-0.0933582\pi\)
−0.0688394 + 0.997628i \(0.521930\pi\)
\(368\) −3.29658 2.62894i −0.171846 0.137043i
\(369\) 0.996420 3.01437i 0.0518716 0.156922i
\(370\) −7.94109 1.81250i −0.412838 0.0942275i
\(371\) 24.2223 12.6913i 1.25756 0.658902i
\(372\) 10.4177 1.86316i 0.540134 0.0966006i
\(373\) 36.3483 1.88204 0.941022 0.338346i \(-0.109867\pi\)
0.941022 + 0.338346i \(0.109867\pi\)
\(374\) 34.8690 1.80303
\(375\) 1.47545 + 8.24984i 0.0761917 + 0.426020i
\(376\) 0.661567 1.37376i 0.0341177 0.0708462i
\(377\) 8.02874 10.0677i 0.413501 0.518514i
\(378\) 11.6679 + 7.27051i 0.600131 + 0.373955i
\(379\) −6.17065 7.73775i −0.316965 0.397462i 0.597670 0.801742i \(-0.296093\pi\)
−0.914635 + 0.404281i \(0.867522\pi\)
\(380\) 8.37012 1.91042i 0.429378 0.0980027i
\(381\) 17.9434 + 24.8296i 0.919268 + 1.27206i
\(382\) 7.31792 + 3.52413i 0.374417 + 0.180310i
\(383\) 1.97469 2.47619i 0.100902 0.126527i −0.728817 0.684709i \(-0.759929\pi\)
0.829719 + 0.558182i \(0.188501\pi\)
\(384\) 0.676684 + 1.59440i 0.0345319 + 0.0813637i
\(385\) −9.06925 34.3372i −0.462212 1.74999i
\(386\) −5.02073 + 10.4257i −0.255548 + 0.530652i
\(387\) 14.0985 5.20952i 0.716665 0.264815i
\(388\) −5.30682 1.21125i −0.269413 0.0614918i
\(389\) 7.31815 + 15.1963i 0.371045 + 0.770482i 0.999976 0.00697892i \(-0.00222148\pi\)
−0.628931 + 0.777461i \(0.716507\pi\)
\(390\) −7.04797 9.75281i −0.356888 0.493852i
\(391\) 31.5984i 1.59800i
\(392\) 6.70358 2.01543i 0.338582 0.101795i
\(393\) −30.9989 1.47123i −1.56369 0.0742137i
\(394\) −8.71454 10.9277i −0.439032 0.550529i
\(395\) −21.6745 + 10.4379i −1.09056 + 0.525186i
\(396\) −13.2534 4.38101i −0.666009 0.220154i
\(397\) −14.6638 30.4498i −0.735957 1.52823i −0.845339 0.534231i \(-0.820601\pi\)
0.109382 0.994000i \(-0.465113\pi\)
\(398\) −1.91114 0.920359i −0.0957970 0.0461334i
\(399\) −12.2053 6.08361i −0.611032 0.304561i
\(400\) −2.99373 + 1.44170i −0.149687 + 0.0720852i
\(401\) −6.79065 5.41536i −0.339109 0.270430i 0.439097 0.898440i \(-0.355298\pi\)
−0.778206 + 0.628010i \(0.783870\pi\)
\(402\) −10.1211 + 18.6940i −0.504795 + 0.932373i
\(403\) 9.17391 + 11.5037i 0.456985 + 0.573041i
\(404\) −0.104398 0.457398i −0.00519400 0.0227564i
\(405\) 12.0703 + 22.9881i 0.599777 + 1.14229i
\(406\) 0.478485 + 14.1398i 0.0237468 + 0.701746i
\(407\) −10.2710 8.19082i −0.509112 0.406004i
\(408\) −6.17989 + 11.4144i −0.305950 + 0.565099i
\(409\) 9.82743 2.24305i 0.485935 0.110912i 0.0274677 0.999623i \(-0.491256\pi\)
0.458468 + 0.888711i \(0.348399\pi\)
\(410\) 3.05301i 0.150777i
\(411\) 0.0547046 1.15263i 0.00269838 0.0568551i
\(412\) −0.195217 + 0.0445569i −0.00961763 + 0.00219516i
\(413\) −20.7300 + 5.47527i −1.02006 + 0.269421i
\(414\) −3.97008 + 12.0103i −0.195119 + 0.590274i
\(415\) −8.28451 + 36.2968i −0.406670 + 1.78174i
\(416\) −1.50143 + 1.88273i −0.0736137 + 0.0923086i
\(417\) −16.3967 14.3991i −0.802950 0.705128i
\(418\) 13.4996 + 3.08120i 0.660288 + 0.150707i
\(419\) −2.80952 + 12.3093i −0.137254 + 0.601350i 0.858777 + 0.512349i \(0.171225\pi\)
−0.996032 + 0.0890008i \(0.971633\pi\)
\(420\) 12.8477 + 3.11680i 0.626905 + 0.152084i
\(421\) −3.48180 15.2548i −0.169693 0.743473i −0.986121 0.166026i \(-0.946906\pi\)
0.816429 0.577446i \(-0.195951\pi\)
\(422\) 27.8312i 1.35480i
\(423\) −4.55371 0.433219i −0.221409 0.0210638i
\(424\) −2.29992 10.0766i −0.111694 0.489362i
\(425\) −22.4350 10.8041i −1.08826 0.524078i
\(426\) −15.1885 + 17.2956i −0.735884 + 0.837973i
\(427\) 18.8825 25.3945i 0.913789 1.22892i
\(428\) −3.49879 + 2.79020i −0.169121 + 0.134869i
\(429\) −3.41667 19.1040i −0.164958 0.922350i
\(430\) 11.3003 9.01169i 0.544949 0.434582i
\(431\) −12.0545 + 25.0315i −0.580646 + 1.20572i 0.379230 + 0.925302i \(0.376189\pi\)
−0.959877 + 0.280422i \(0.909525\pi\)
\(432\) 3.78306 3.56209i 0.182013 0.171381i
\(433\) 3.65350 + 7.58657i 0.175576 + 0.364587i 0.970122 0.242616i \(-0.0780055\pi\)
−0.794546 + 0.607204i \(0.792291\pi\)
\(434\) −15.8732 3.06216i −0.761937 0.146988i
\(435\) −12.7216 + 23.4973i −0.609956 + 1.12661i
\(436\) −7.53062 + 3.62655i −0.360651 + 0.173680i
\(437\) 2.79220 12.2334i 0.133569 0.585204i
\(438\) −0.476849 + 0.202381i −0.0227847 + 0.00967014i
\(439\) 6.53855 5.21432i 0.312068 0.248866i −0.454913 0.890536i \(-0.650330\pi\)
0.766981 + 0.641670i \(0.221758\pi\)
\(440\) −13.4233 −0.639931
\(441\) −12.6420 16.7684i −0.601999 0.798497i
\(442\) −18.0464 −0.858379
\(443\) −9.66699 + 7.70917i −0.459293 + 0.366274i −0.825633 0.564207i \(-0.809182\pi\)
0.366341 + 0.930481i \(0.380610\pi\)
\(444\) 4.50162 1.91055i 0.213638 0.0906707i
\(445\) 1.21720 5.33288i 0.0577006 0.252803i
\(446\) −3.24143 + 1.56099i −0.153486 + 0.0739151i
\(447\) −0.188009 + 0.347258i −0.00889252 + 0.0164247i
\(448\) −0.0894800 2.64424i −0.00422753 0.124928i
\(449\) −4.88794 10.1499i −0.230676 0.479004i 0.753215 0.657775i \(-0.228502\pi\)
−0.983891 + 0.178771i \(0.942788\pi\)
\(450\) 7.16993 + 6.92536i 0.337994 + 0.326464i
\(451\) 2.13644 4.43637i 0.100601 0.208901i
\(452\) −6.77014 + 5.39901i −0.318441 + 0.253948i
\(453\) 3.87588 + 21.6717i 0.182105 + 1.01822i
\(454\) 11.5138 9.18197i 0.540371 0.430931i
\(455\) 4.69378 + 17.7712i 0.220048 + 0.833125i
\(456\) −3.40120 + 3.87305i −0.159276 + 0.181372i
\(457\) −36.4383 17.5478i −1.70451 0.820849i −0.992992 0.118183i \(-0.962293\pi\)
−0.711519 0.702667i \(-0.751993\pi\)
\(458\) −3.49918 15.3309i −0.163506 0.716366i
\(459\) 38.5466 + 5.52152i 1.79920 + 0.257722i
\(460\) 12.1642i 0.567161i
\(461\) 1.96475 + 8.60814i 0.0915076 + 0.400921i 0.999850 0.0173058i \(-0.00550890\pi\)
−0.908343 + 0.418227i \(0.862652\pi\)
\(462\) 16.4881 + 13.5197i 0.767098 + 0.628993i
\(463\) −2.13150 + 9.33871i −0.0990592 + 0.434007i 0.900941 + 0.433942i \(0.142878\pi\)
−1.00000 6.47049e-5i \(0.999979\pi\)
\(464\) 5.21333 + 1.18991i 0.242023 + 0.0552401i
\(465\) −22.9410 20.1461i −1.06386 0.934255i
\(466\) −6.45914 + 8.09950i −0.299214 + 0.375202i
\(467\) 1.91183 8.37626i 0.0884688 0.387607i −0.911236 0.411884i \(-0.864871\pi\)
0.999705 + 0.0242765i \(0.00772819\pi\)
\(468\) 6.85929 + 2.26738i 0.317071 + 0.104810i
\(469\) 24.6885 21.0931i 1.14001 0.973989i
\(470\) −4.28852 + 0.978827i −0.197815 + 0.0451499i
\(471\) −1.16038 + 24.4494i −0.0534676 + 1.12657i
\(472\) 8.10390i 0.373012i
\(473\) 22.7269 5.18726i 1.04498 0.238510i
\(474\) 6.87655 12.7012i 0.315850 0.583385i
\(475\) −7.73109 6.16534i −0.354727 0.282885i
\(476\) 15.0746 12.8793i 0.690945 0.590322i
\(477\) −25.9644 + 16.9498i −1.18883 + 0.776079i
\(478\) 0.934425 + 4.09398i 0.0427396 + 0.187254i
\(479\) 1.46111 + 1.83217i 0.0667596 + 0.0837139i 0.814090 0.580739i \(-0.197236\pi\)
−0.747330 + 0.664453i \(0.768665\pi\)
\(480\) 2.37904 4.39415i 0.108588 0.200565i
\(481\) 5.31572 + 4.23914i 0.242376 + 0.193288i
\(482\) 13.5441 6.52248i 0.616915 0.297091i
\(483\) 12.2516 14.9416i 0.557467 0.679867i
\(484\) −9.59495 4.62068i −0.436134 0.210031i
\(485\) 6.81350 + 14.1484i 0.309385 + 0.642444i
\(486\) −13.9575 6.94175i −0.633125 0.314884i
\(487\) −4.19737 + 2.02135i −0.190201 + 0.0915960i −0.526560 0.850138i \(-0.676519\pi\)
0.336359 + 0.941734i \(0.390804\pi\)
\(488\) −7.45745 9.35135i −0.337583 0.423316i
\(489\) −17.2961 0.820884i −0.782158 0.0371217i
\(490\) −16.6037 11.4949i −0.750080 0.519287i
\(491\) 15.2995i 0.690456i −0.938519 0.345228i \(-0.887802\pi\)
0.938519 0.345228i \(-0.112198\pi\)
\(492\) 1.07361 + 1.48564i 0.0484022 + 0.0669777i
\(493\) 17.3872 + 36.1049i 0.783081 + 1.62608i
\(494\) −6.98671 1.59467i −0.314347 0.0717477i
\(495\) 13.9577 + 37.7736i 0.627353 + 1.69780i
\(496\) −2.65108 + 5.50502i −0.119037 + 0.247183i
\(497\) 31.1445 16.3182i 1.39702 0.731973i
\(498\) −8.73267 20.5758i −0.391320 0.922025i
\(499\) 7.46190 9.35693i 0.334041 0.418874i −0.586237 0.810140i \(-0.699391\pi\)
0.920278 + 0.391266i \(0.127963\pi\)
\(500\) −4.35945 2.09940i −0.194960 0.0938880i
\(501\) 3.35802 + 4.64675i 0.150025 + 0.207601i
\(502\) 10.4093 2.37587i 0.464592 0.106040i
\(503\) −11.9928 15.0386i −0.534735 0.670536i 0.438930 0.898521i \(-0.355358\pi\)
−0.973665 + 0.227985i \(0.926786\pi\)
\(504\) −7.34793 + 3.00131i −0.327303 + 0.133689i
\(505\) −0.843890 + 1.05820i −0.0375526 + 0.0470895i
\(506\) −8.51234 + 17.6761i −0.378420 + 0.785796i
\(507\) −2.19582 12.2777i −0.0975196 0.545273i
\(508\) −17.6869 −0.784728
\(509\) 4.99446 0.221376 0.110688 0.993855i \(-0.464695\pi\)
0.110688 + 0.993855i \(0.464695\pi\)
\(510\) 36.8615 6.59251i 1.63225 0.291921i
\(511\) 0.790833 0.0267615i 0.0349844 0.00118386i
\(512\) −0.974928 0.222521i −0.0430861 0.00983413i
\(513\) 14.4355 + 5.54385i 0.637343 + 0.244767i
\(514\) 18.2922 + 14.5876i 0.806835 + 0.643430i
\(515\) 0.451639 + 0.360170i 0.0199016 + 0.0158710i
\(516\) −2.32986 + 8.35904i −0.102566 + 0.367986i
\(517\) −6.91668 1.57869i −0.304195 0.0694306i
\(518\) −7.46575 + 0.252638i −0.328026 + 0.0111003i
\(519\) −7.22983 40.4250i −0.317354 1.77446i
\(520\) 6.94721 0.304655
\(521\) 31.3151 1.37194 0.685970 0.727630i \(-0.259378\pi\)
0.685970 + 0.727630i \(0.259378\pi\)
\(522\) −2.07245 15.9078i −0.0907086 0.696264i
\(523\) −3.64913 + 7.57751i −0.159566 + 0.331341i −0.965389 0.260815i \(-0.916009\pi\)
0.805823 + 0.592156i \(0.201723\pi\)
\(524\) 11.1713 14.0084i 0.488021 0.611959i
\(525\) −6.41956 13.8076i −0.280173 0.602612i
\(526\) −4.29472 5.38541i −0.187259 0.234815i
\(527\) −44.6412 + 10.1891i −1.94460 + 0.443843i
\(528\) 6.53197 4.72040i 0.284267 0.205429i
\(529\) −4.70417 2.26541i −0.204529 0.0984961i
\(530\) −18.5911 + 23.3125i −0.807545 + 1.01263i
\(531\) 22.8046 8.42654i 0.989637 0.365681i
\(532\) 6.97428 3.65419i 0.302373 0.158429i
\(533\) −1.10571 + 2.29604i −0.0478938 + 0.0994524i
\(534\) 1.28304 + 3.02309i 0.0555226 + 0.130822i
\(535\) 12.5867 + 2.87283i 0.544171 + 0.124203i
\(536\) −5.32519 11.0579i −0.230013 0.477628i
\(537\) 17.3834 12.5623i 0.750149 0.542103i
\(538\) 22.7431i 0.980523i
\(539\) −16.0832 28.3224i −0.692752 1.21993i
\(540\) −14.8390 2.12559i −0.638571 0.0914707i
\(541\) 10.3931 + 13.0326i 0.446836 + 0.560314i 0.953330 0.301929i \(-0.0976305\pi\)
−0.506495 + 0.862243i \(0.669059\pi\)
\(542\) −9.76602 + 4.70307i −0.419486 + 0.202014i
\(543\) 15.0496 + 4.19469i 0.645842 + 0.180011i
\(544\) −3.25153 6.75187i −0.139408 0.289484i
\(545\) 21.7253 + 10.4623i 0.930608 + 0.448157i
\(546\) −8.53342 6.99710i −0.365196 0.299448i
\(547\) 7.40451 3.56582i 0.316594 0.152464i −0.268837 0.963186i \(-0.586639\pi\)
0.585431 + 0.810722i \(0.300925\pi\)
\(548\) 0.520873 + 0.415382i 0.0222506 + 0.0177443i
\(549\) −18.5606 + 30.7092i −0.792149 + 1.31064i
\(550\) 9.63956 + 12.0876i 0.411032 + 0.515418i
\(551\) 3.54110 + 15.5146i 0.150856 + 0.660942i
\(552\) −4.27764 5.91929i −0.182069 0.251942i
\(553\) −16.7740 + 14.3312i −0.713303 + 0.609424i
\(554\) −8.60872 6.86523i −0.365750 0.291676i
\(555\) −12.4065 6.71698i −0.526625 0.285120i
\(556\) 12.2829 2.80349i 0.520910 0.118894i
\(557\) 23.1690i 0.981704i −0.871243 0.490852i \(-0.836686\pi\)
0.871243 0.490852i \(-0.163314\pi\)
\(558\) 18.2480 + 1.73603i 0.772498 + 0.0734919i
\(559\) −11.7623 + 2.68466i −0.497490 + 0.113549i
\(560\) −5.80319 + 4.95807i −0.245230 + 0.209517i
\(561\) 58.1773 + 16.2154i 2.45625 + 0.684613i
\(562\) 1.28739 5.64042i 0.0543052 0.237927i
\(563\) 15.3693 19.2725i 0.647738 0.812238i −0.344208 0.938893i \(-0.611853\pi\)
0.991947 + 0.126655i \(0.0404241\pi\)
\(564\) 1.74264 1.98440i 0.0733785 0.0835583i
\(565\) 24.3552 + 5.55891i 1.02463 + 0.233865i
\(566\) 7.11731 31.1830i 0.299163 1.31072i
\(567\) 16.0863 + 17.5565i 0.675560 + 0.737305i
\(568\) −2.95718 12.9562i −0.124080 0.543632i
\(569\) 38.6428i 1.61999i 0.586437 + 0.809995i \(0.300530\pi\)
−0.586437 + 0.809995i \(0.699470\pi\)
\(570\) 14.8536 + 0.704960i 0.622148 + 0.0295275i
\(571\) 5.19670 + 22.7682i 0.217475 + 0.952821i 0.959336 + 0.282267i \(0.0910863\pi\)
−0.741861 + 0.670554i \(0.766057\pi\)
\(572\) 10.0951 + 4.86154i 0.422097 + 0.203271i
\(573\) 10.5708 + 9.28295i 0.441600 + 0.387801i
\(574\) −0.714999 2.70707i −0.0298435 0.112991i
\(575\) 10.9539 8.73541i 0.456807 0.364292i
\(576\) 0.387562 + 2.97486i 0.0161484 + 0.123953i
\(577\) −15.8979 + 12.6781i −0.661837 + 0.527797i −0.895805 0.444447i \(-0.853400\pi\)
0.233968 + 0.972244i \(0.424829\pi\)
\(578\) 16.9910 35.2821i 0.706731 1.46754i
\(579\) −13.2252 + 15.0599i −0.549620 + 0.625868i
\(580\) −6.69345 13.8991i −0.277931 0.577129i
\(581\) 1.15475 + 34.1241i 0.0479070 + 1.41571i
\(582\) −8.29092 4.48878i −0.343670 0.186066i
\(583\) −43.3287 + 20.8660i −1.79449 + 0.864181i
\(584\) 0.0665511 0.291579i 0.00275390 0.0120656i
\(585\) −7.22380 19.5497i −0.298668 0.808280i
\(586\) 7.75508 6.18447i 0.320359 0.255478i
\(587\) 6.17869 0.255022 0.127511 0.991837i \(-0.459301\pi\)
0.127511 + 0.991837i \(0.459301\pi\)
\(588\) 12.1219 0.245239i 0.499898 0.0101135i
\(589\) −18.1834 −0.749232
\(590\) 18.2785 14.5766i 0.752516 0.600111i
\(591\) −9.45803 22.2849i −0.389051 0.916679i
\(592\) −0.628266 + 2.75262i −0.0258216 + 0.113132i
\(593\) −3.75428 + 1.80797i −0.154170 + 0.0742442i −0.509378 0.860543i \(-0.670124\pi\)
0.355208 + 0.934787i \(0.384410\pi\)
\(594\) −20.0754 13.4728i −0.823703 0.552797i
\(595\) −56.1647 10.8349i −2.30253 0.444189i
\(596\) −0.0989203 0.205410i −0.00405193 0.00841393i
\(597\) −2.76066 2.42433i −0.112986 0.0992212i
\(598\) 4.40555 9.14822i 0.180156 0.374098i
\(599\) −9.06415 + 7.22842i −0.370351 + 0.295345i −0.790925 0.611913i \(-0.790400\pi\)
0.420574 + 0.907258i \(0.361829\pi\)
\(600\) −5.66535 + 1.01322i −0.231287 + 0.0413646i
\(601\) −4.10413 + 3.27294i −0.167411 + 0.133506i −0.703612 0.710585i \(-0.748430\pi\)
0.536201 + 0.844091i \(0.319859\pi\)
\(602\) 7.90935 10.6370i 0.322361 0.433533i
\(603\) −25.5800 + 26.4834i −1.04170 + 1.07849i
\(604\) −11.4519 5.51496i −0.465972 0.224401i
\(605\) 6.83657 + 29.9530i 0.277946 + 1.21776i
\(606\) 0.0385236 0.811697i 0.00156492 0.0329730i
\(607\) 16.1724i 0.656416i 0.944605 + 0.328208i \(0.106445\pi\)
−0.944605 + 0.328208i \(0.893555\pi\)
\(608\) −0.662209 2.90133i −0.0268561 0.117664i
\(609\) −5.77720 + 23.8141i −0.234104 + 0.964996i
\(610\) −7.67832 + 33.6409i −0.310886 + 1.36208i
\(611\) 3.57972 + 0.817047i 0.144820 + 0.0330542i
\(612\) −15.6190 + 16.1706i −0.631361 + 0.653658i
\(613\) 16.9833 21.2964i 0.685951 0.860155i −0.309936 0.950757i \(-0.600308\pi\)
0.995887 + 0.0906023i \(0.0288792\pi\)
\(614\) −1.70446 + 7.46773i −0.0687864 + 0.301373i
\(615\) 1.41976 5.09380i 0.0572503 0.205402i
\(616\) −11.9023 + 3.14367i −0.479557 + 0.126662i
\(617\) 9.89497 2.25846i 0.398356 0.0909223i −0.0186493 0.999826i \(-0.505937\pi\)
0.417006 + 0.908904i \(0.363079\pi\)
\(618\) −0.346431 0.0164418i −0.0139355 0.000661387i
\(619\) 1.05891i 0.0425611i −0.999774 0.0212806i \(-0.993226\pi\)
0.999774 0.0212806i \(-0.00677432\pi\)
\(620\) 17.1853 3.92243i 0.690177 0.157528i
\(621\) −12.2091 + 18.1924i −0.489936 + 0.730036i
\(622\) −12.8700 10.2635i −0.516040 0.411528i
\(623\) −0.169661 5.01367i −0.00679731 0.200868i
\(624\) −3.38061 + 2.44304i −0.135333 + 0.0977997i
\(625\) 6.80314 + 29.8065i 0.272125 + 1.19226i
\(626\) −15.6689 19.6482i −0.626255 0.785298i
\(627\) 21.0906 + 11.4187i 0.842279 + 0.456018i
\(628\) −11.0486 8.81100i −0.440889 0.351597i
\(629\) −19.0633 + 9.18038i −0.760102 + 0.366046i
\(630\) 19.9864 + 11.1749i 0.796278 + 0.445219i
\(631\) 36.2353 + 17.4500i 1.44250 + 0.694673i 0.981275 0.192609i \(-0.0616950\pi\)
0.461227 + 0.887282i \(0.347409\pi\)
\(632\) 3.61807 + 7.51301i 0.143919 + 0.298851i
\(633\) 12.9426 46.4351i 0.514420 1.84563i
\(634\) −10.6667 + 5.13679i −0.423627 + 0.204008i
\(635\) 31.8137 + 39.8932i 1.26249 + 1.58311i
\(636\) 0.848685 17.8819i 0.0336525 0.709063i
\(637\) 8.32384 + 14.6582i 0.329802 + 0.580780i
\(638\) 24.8810i 0.985047i
\(639\) −33.3844 + 21.7937i −1.32067 + 0.862144i
\(640\) 1.25172 + 2.59923i 0.0494787 + 0.102743i
\(641\) −25.5641 5.83483i −1.00972 0.230462i −0.314499 0.949258i \(-0.601836\pi\)
−0.695221 + 0.718796i \(0.744694\pi\)
\(642\) −7.13512 + 3.02824i −0.281601 + 0.119515i
\(643\) 5.00892 10.4011i 0.197533 0.410181i −0.778549 0.627583i \(-0.784044\pi\)
0.976082 + 0.217403i \(0.0697584\pi\)
\(644\) 2.84881 + 10.7859i 0.112259 + 0.425024i
\(645\) 23.0448 9.78053i 0.907388 0.385108i
\(646\) 13.9049 17.4362i 0.547081 0.686018i
\(647\) 12.4504 + 5.99580i 0.489476 + 0.235719i 0.662307 0.749232i \(-0.269577\pi\)
−0.172831 + 0.984951i \(0.555292\pi\)
\(648\) 7.96837 4.18391i 0.313027 0.164360i
\(649\) 36.7613 8.39053i 1.44301 0.329357i
\(650\) −4.98894 6.25593i −0.195682 0.245378i
\(651\) −25.0597 12.4907i −0.982166 0.489549i
\(652\) 6.23313 7.81610i 0.244108 0.306102i
\(653\) 6.57768 13.6587i 0.257405 0.534506i −0.731717 0.681609i \(-0.761281\pi\)
0.989121 + 0.147103i \(0.0469948\pi\)
\(654\) −14.2510 + 2.54872i −0.557257 + 0.0996630i
\(655\) −51.6903 −2.01971
\(656\) −1.05826 −0.0413182
\(657\) −0.889715 + 0.115911i −0.0347111 + 0.00452213i
\(658\) −3.57335 + 1.87226i −0.139304 + 0.0729885i
\(659\) 12.7651 + 2.91356i 0.497260 + 0.113496i 0.463793 0.885944i \(-0.346488\pi\)
0.0334665 + 0.999440i \(0.489345\pi\)
\(660\) −22.3962 6.24233i −0.871770 0.242983i
\(661\) −17.8131 14.2055i −0.692849 0.552529i 0.212519 0.977157i \(-0.431833\pi\)
−0.905368 + 0.424628i \(0.860405\pi\)
\(662\) 12.4278 + 9.91083i 0.483020 + 0.385196i
\(663\) −30.1096 8.39224i −1.16936 0.325928i
\(664\) 12.5815 + 2.87165i 0.488258 + 0.111442i
\(665\) −20.7869 9.15778i −0.806081 0.355124i
\(666\) 8.39923 1.09424i 0.325464 0.0424011i
\(667\) −22.5472 −0.873032
\(668\) −3.31001 −0.128068
\(669\) −6.13410 + 1.09706i −0.237158 + 0.0424146i
\(670\) −15.3628 + 31.9011i −0.593516 + 1.23245i
\(671\) −34.6989 + 43.5110i −1.33953 + 1.67972i
\(672\) 1.08038 4.45340i 0.0416764 0.171794i
\(673\) 25.5398 + 32.0258i 0.984485 + 1.23451i 0.972096 + 0.234582i \(0.0753722\pi\)
0.0123891 + 0.999923i \(0.496056\pi\)
\(674\) −3.52567 + 0.804711i −0.135804 + 0.0309963i
\(675\) 8.74215 + 14.8889i 0.336486 + 0.573075i
\(676\) 6.48789 + 3.12440i 0.249534 + 0.120169i
\(677\) 18.6187 23.3471i 0.715575 0.897303i −0.282503 0.959266i \(-0.591165\pi\)
0.998078 + 0.0619633i \(0.0197362\pi\)
\(678\) −13.8064 + 5.85963i −0.530232 + 0.225038i
\(679\) 9.35493 + 10.9495i 0.359009 + 0.420204i
\(680\) −9.38042 + 19.4786i −0.359723 + 0.746971i
\(681\) 23.4803 9.96534i 0.899766 0.381873i
\(682\) 27.7170 + 6.32623i 1.06134 + 0.242244i
\(683\) −3.59068 7.45612i −0.137393 0.285300i 0.820908 0.571061i \(-0.193468\pi\)
−0.958301 + 0.285761i \(0.907754\pi\)
\(684\) −7.47586 + 4.88032i −0.285847 + 0.186604i
\(685\) 1.92200i 0.0734358i
\(686\) −17.4144 6.30389i −0.664885 0.240684i
\(687\) 1.29122 27.2061i 0.0492631 1.03798i
\(688\) −3.12372 3.91702i −0.119091 0.149335i
\(689\) 22.4247 10.7992i 0.854313 0.411416i
\(690\) −5.65683 + 20.2955i −0.215352 + 0.772636i
\(691\) −12.0684 25.0603i −0.459105 0.953340i −0.994098 0.108484i \(-0.965400\pi\)
0.534994 0.844856i \(-0.320314\pi\)
\(692\) 21.3617 + 10.2873i 0.812050 + 0.391063i
\(693\) 21.2226 + 30.2246i 0.806178 + 1.14814i
\(694\) 24.1140 11.6127i 0.915356 0.440812i
\(695\) −28.4168 22.6617i −1.07791 0.859606i
\(696\) 8.14485 + 4.40970i 0.308730 + 0.167149i
\(697\) −4.94467 6.20041i −0.187293 0.234857i
\(698\) 5.25078 + 23.0051i 0.198745 + 0.870758i
\(699\) −14.5433 + 10.5099i −0.550080 + 0.397521i
\(700\) 8.63212 + 1.66526i 0.326263 + 0.0629407i
\(701\) 19.7551 + 15.7542i 0.746140 + 0.595027i 0.920998 0.389567i \(-0.127375\pi\)
−0.174858 + 0.984594i \(0.555947\pi\)
\(702\) 10.3900 + 6.97285i 0.392145 + 0.263173i
\(703\) −8.19162 + 1.86968i −0.308953 + 0.0705165i
\(704\) 4.65291i 0.175363i
\(705\) −7.61039 0.361194i −0.286624 0.0136033i
\(706\) −3.10979 + 0.709789i −0.117038 + 0.0267132i
\(707\) −0.500442 + 1.13593i −0.0188210 + 0.0427212i
\(708\) −3.76861 + 13.5210i −0.141633 + 0.508150i
\(709\) −4.75092 + 20.8151i −0.178424 + 0.781728i 0.803934 + 0.594719i \(0.202737\pi\)
−0.982358 + 0.187009i \(0.940120\pi\)
\(710\) −23.9040 + 29.9746i −0.897100 + 1.12493i
\(711\) 17.3797 17.9935i 0.651791 0.674809i
\(712\) −1.84853 0.421916i −0.0692768 0.0158120i
\(713\) 5.73286 25.1173i 0.214697 0.940650i
\(714\) 31.1407 14.4783i 1.16541 0.541836i
\(715\) −7.19293 31.5143i −0.269000 1.17857i
\(716\) 12.3827i 0.462763i
\(717\) −0.344809 + 7.26517i −0.0128771 + 0.271323i
\(718\) 6.84436 + 29.9871i 0.255429 + 1.11911i
\(719\) 2.37615 + 1.14429i 0.0886153 + 0.0426749i 0.477666 0.878541i \(-0.341483\pi\)
−0.389051 + 0.921216i \(0.627197\pi\)
\(720\) 6.01276 6.22510i 0.224082 0.231996i
\(721\) 0.484814 + 0.213587i 0.0180554 + 0.00795441i
\(722\) −7.93072 + 6.32454i −0.295151 + 0.235375i
\(723\) 25.6308 4.58396i 0.953221 0.170479i
\(724\) −7.05221 + 5.62395i −0.262093 + 0.209012i
\(725\) −7.70937 + 16.0087i −0.286319 + 0.594547i
\(726\) −13.8599 12.1714i −0.514391 0.451723i
\(727\) 4.40261 + 9.14211i 0.163284 + 0.339062i 0.966517 0.256602i \(-0.0826031\pi\)
−0.803233 + 0.595665i \(0.796889\pi\)
\(728\) 6.16001 1.62700i 0.228305 0.0603007i
\(729\) −20.0593 18.0728i −0.742937 0.669362i
\(730\) −0.777371 + 0.374362i −0.0287718 + 0.0138558i
\(731\) 8.35463 36.6040i 0.309007 1.35385i
\(732\) −8.09369 19.0703i −0.299151 0.704858i
\(733\) 21.5704 17.2018i 0.796722 0.635364i −0.138126 0.990415i \(-0.544108\pi\)
0.934847 + 0.355050i \(0.115536\pi\)
\(734\) −21.7699 −0.803542
\(735\) −22.3570 26.9001i −0.824651 0.992224i
\(736\) 4.21649 0.155422
\(737\) −44.6478 + 35.6054i −1.64462 + 1.31154i
\(738\) 1.10040 + 2.97799i 0.0405061 + 0.109621i
\(739\) 2.63231 11.5329i 0.0968310 0.424244i −0.903156 0.429312i \(-0.858756\pi\)
0.999987 + 0.00506793i \(0.00161318\pi\)
\(740\) 7.33867 3.53412i 0.269775 0.129917i
\(741\) −10.9154 5.90972i −0.400988 0.217099i
\(742\) −11.0248 + 25.0249i −0.404735 + 0.918692i
\(743\) −13.7067 28.4622i −0.502849 1.04418i −0.985706 0.168477i \(-0.946115\pi\)
0.482857 0.875699i \(-0.339599\pi\)
\(744\) −6.98325 + 7.95203i −0.256018 + 0.291536i
\(745\) −0.285378 + 0.592593i −0.0104554 + 0.0217109i
\(746\) −28.4182 + 22.6628i −1.04047 + 0.829744i
\(747\) −5.00153 38.3909i −0.182996 1.40465i
\(748\) −27.2617 + 21.7404i −0.996785 + 0.794909i
\(749\) 11.8333 0.400434i 0.432379 0.0146315i
\(750\) −6.29724 5.53006i −0.229943 0.201929i
\(751\) −0.647311 0.311729i −0.0236207 0.0113751i 0.422036 0.906579i \(-0.361316\pi\)
−0.445657 + 0.895204i \(0.647030\pi\)
\(752\) 0.339290 + 1.48653i 0.0123726 + 0.0542081i
\(753\) 18.4724 + 0.876711i 0.673171 + 0.0319491i
\(754\) 12.8771i 0.468957i
\(755\) 8.15970 + 35.7500i 0.296962 + 1.30108i
\(756\) −13.6554 + 1.59049i −0.496643 + 0.0578457i
\(757\) 6.13618 26.8844i 0.223023 0.977129i −0.732164 0.681128i \(-0.761490\pi\)
0.955188 0.296001i \(-0.0956531\pi\)
\(758\) 9.64882 + 2.20228i 0.350461 + 0.0799904i
\(759\) −22.4225 + 25.5331i −0.813884 + 0.926794i
\(760\) −5.35289 + 6.71231i −0.194170 + 0.243481i
\(761\) 2.00081 8.76612i 0.0725293 0.317772i −0.925629 0.378432i \(-0.876463\pi\)
0.998158 + 0.0606602i \(0.0193206\pi\)
\(762\) −29.5097 8.22505i −1.06902 0.297962i
\(763\) 21.7138 + 4.18889i 0.786091 + 0.151648i
\(764\) −7.91864 + 1.80738i −0.286486 + 0.0653886i
\(765\) 64.5674 + 6.14265i 2.33444 + 0.222088i
\(766\) 3.16716i 0.114434i
\(767\) −19.0258 + 4.34251i −0.686981 + 0.156799i
\(768\) −1.52314 0.824644i −0.0549617 0.0297568i
\(769\) 15.0334 + 11.9888i 0.542120 + 0.432326i 0.855879 0.517177i \(-0.173017\pi\)
−0.313759 + 0.949503i \(0.601588\pi\)
\(770\) 28.4995 + 21.1913i 1.02705 + 0.763682i
\(771\) 23.7360 + 32.8452i 0.854831 + 1.18289i
\(772\) −2.57492 11.2815i −0.0926735 0.406029i
\(773\) −12.8114 16.0650i −0.460795 0.577819i 0.496095 0.868268i \(-0.334767\pi\)
−0.956890 + 0.290449i \(0.906195\pi\)
\(774\) −7.77453 + 12.8632i −0.279450 + 0.462359i
\(775\) −15.8732 12.6585i −0.570184 0.454706i
\(776\) 4.90424 2.36176i 0.176052 0.0847822i
\(777\) −12.5738 3.05034i −0.451081 0.109430i
\(778\) −15.1963 7.31815i −0.544813 0.262368i
\(779\) −1.36644 2.83745i −0.0489579 0.101662i
\(780\) 11.5911 + 3.23071i 0.415028 + 0.115678i
\(781\) −55.7110 + 26.8290i −1.99350 + 0.960017i
\(782\) 19.7013 + 24.7046i 0.704516 + 0.883435i
\(783\) 3.93991 27.5051i 0.140801 0.982953i
\(784\) −3.98447 + 5.75534i −0.142303 + 0.205548i
\(785\) 40.7690i 1.45511i
\(786\) 25.1532 18.1773i 0.897187 0.648362i
\(787\) −21.9609 45.6023i −0.782822 1.62555i −0.780183 0.625551i \(-0.784874\pi\)
−0.00263929 0.999997i \(-0.500840\pi\)
\(788\) 13.6266 + 3.11018i 0.485427 + 0.110796i
\(789\) −4.66113 10.9825i −0.165941 0.390988i
\(790\) 10.4379 21.6745i 0.371363 0.771143i
\(791\) 22.8973 0.774837i 0.814135 0.0275500i
\(792\) 13.0935 4.83816i 0.465256 0.171917i
\(793\) 17.9583 22.5190i 0.637719 0.799675i
\(794\) 30.4498 + 14.6638i 1.08062 + 0.520400i
\(795\) −41.8596 + 30.2503i −1.48461 + 1.07287i
\(796\) 2.06803 0.472014i 0.0732993 0.0167301i
\(797\) −20.0785 25.1776i −0.711216 0.891836i 0.286590 0.958053i \(-0.407478\pi\)
−0.997805 + 0.0662173i \(0.978907\pi\)
\(798\) 13.3356 2.85355i 0.472075 0.101015i
\(799\) −7.12433 + 8.93363i −0.252041 + 0.316049i
\(800\) 1.44170 2.99373i 0.0509720 0.105844i
\(801\) 0.734846 + 5.64055i 0.0259645 + 0.199299i
\(802\) 8.68556 0.306698
\(803\) −1.39158 −0.0491079
\(804\) −3.74252 20.9260i −0.131988 0.738002i
\(805\) 19.2037 25.8264i 0.676840 0.910260i
\(806\) −14.3449 3.27413i −0.505278 0.115326i
\(807\) −10.5764 + 37.9458i −0.372306 + 1.33575i
\(808\) 0.366805 + 0.292517i 0.0129042 + 0.0102907i
\(809\) 7.50065 + 5.98157i 0.263709 + 0.210301i 0.746414 0.665482i \(-0.231774\pi\)
−0.482705 + 0.875783i \(0.660346\pi\)
\(810\) −23.7698 10.4472i −0.835185 0.367076i
\(811\) 41.5006 + 9.47224i 1.45728 + 0.332615i 0.876484 0.481432i \(-0.159883\pi\)
0.580799 + 0.814047i \(0.302740\pi\)
\(812\) −9.19011 10.7566i −0.322510 0.377483i
\(813\) −18.4813 + 3.30529i −0.648166 + 0.115922i
\(814\) 13.1370 0.460453
\(815\) −28.8411 −1.01026
\(816\) −2.28516 12.7773i −0.0799965 0.447294i
\(817\) 6.46904 13.4331i 0.226323 0.469965i
\(818\) −6.28488 + 7.88099i −0.219746 + 0.275552i
\(819\) −10.9837 15.6427i −0.383802 0.546600i
\(820\) 1.90352 + 2.38694i 0.0664738 + 0.0833555i
\(821\) 27.7630 6.33673i 0.968936 0.221153i 0.291366 0.956612i \(-0.405890\pi\)
0.677570 + 0.735458i \(0.263033\pi\)
\(822\) 0.675885 + 0.935272i 0.0235742 + 0.0326214i
\(823\) −5.04639 2.43022i −0.175906 0.0847120i 0.343858 0.939022i \(-0.388266\pi\)
−0.519765 + 0.854310i \(0.673980\pi\)
\(824\) 0.124846 0.156552i 0.00434921 0.00545373i
\(825\) 10.4620 + 24.6504i 0.364239 + 0.858217i
\(826\) 12.7936 17.2057i 0.445146 0.598663i
\(827\) −2.95915 + 6.14473i −0.102900 + 0.213673i −0.946062 0.323986i \(-0.894977\pi\)
0.843162 + 0.537659i \(0.180691\pi\)
\(828\) −4.38436 11.8653i −0.152367 0.412349i
\(829\) −24.0573 5.49091i −0.835543 0.190707i −0.216716 0.976235i \(-0.569535\pi\)
−0.618827 + 0.785527i \(0.712392\pi\)
\(830\) −16.1536 33.5433i −0.560699 1.16430i
\(831\) −11.1707 15.4577i −0.387506 0.536222i
\(832\) 2.40811i 0.0834861i
\(833\) −52.3381 + 3.54626i −1.81341 + 0.122871i
\(834\) 21.7972 + 1.03451i 0.754774 + 0.0358220i
\(835\) 5.95379 + 7.46582i 0.206039 + 0.258365i
\(836\) −12.4755 + 6.00790i −0.431475 + 0.207788i
\(837\) 29.6386 + 11.3825i 1.02446 + 0.393435i
\(838\) −5.47816 11.3755i −0.189240 0.392961i
\(839\) 34.6081 + 16.6664i 1.19481 + 0.575388i 0.922191 0.386735i \(-0.126397\pi\)
0.272615 + 0.962123i \(0.412112\pi\)
\(840\) −11.9881 + 5.57361i −0.413627 + 0.192308i
\(841\) −0.365211 + 0.175876i −0.0125935 + 0.00606470i
\(842\) 12.2334 + 9.75580i 0.421590 + 0.336207i
\(843\) 4.77095 8.81210i 0.164320 0.303505i
\(844\) 17.3525 + 21.7593i 0.597297 + 0.748987i
\(845\) −4.62274 20.2535i −0.159027 0.696743i
\(846\) 3.83034 2.50049i 0.131690 0.0859685i
\(847\) 13.0767 + 24.9579i 0.449322 + 0.857562i
\(848\) 8.08080 + 6.44422i 0.277496 + 0.221295i
\(849\) 26.3762 48.7176i 0.905227 1.67198i
\(850\) 24.2767 5.54100i 0.832684 0.190055i
\(851\) 11.9048i 0.408093i
\(852\) 1.09122 22.9921i 0.0373845 0.787696i
\(853\) −44.2321 + 10.0957i −1.51448 + 0.345670i −0.897395 0.441228i \(-0.854543\pi\)
−0.617083 + 0.786898i \(0.711686\pi\)
\(854\) 1.07025 + 31.6273i 0.0366233 + 1.08226i
\(855\) 24.4547 + 8.08366i 0.836333 + 0.276455i
\(856\) 0.995809 4.36293i 0.0340361 0.149122i
\(857\) −1.49189 + 1.87077i −0.0509621 + 0.0639044i −0.806659 0.591017i \(-0.798727\pi\)
0.755697 + 0.654921i \(0.227298\pi\)
\(858\) 14.5824 + 12.8059i 0.497835 + 0.437185i
\(859\) −31.2446 7.13139i −1.06605 0.243320i −0.346709 0.937973i \(-0.612701\pi\)
−0.719345 + 0.694653i \(0.755558\pi\)
\(860\) −3.21623 + 14.0912i −0.109673 + 0.480507i
\(861\) 0.0659439 4.84912i 0.00224736 0.165258i
\(862\) −6.18227 27.0863i −0.210569 0.922563i
\(863\) 44.5268i 1.51571i −0.652423 0.757855i \(-0.726247\pi\)
0.652423 0.757855i \(-0.273753\pi\)
\(864\) −0.736791 + 5.14365i −0.0250661 + 0.174991i
\(865\) −15.2206 66.6858i −0.517516 2.26738i
\(866\) −7.58657 3.65350i −0.257802 0.124151i
\(867\) 44.7561 50.9651i 1.52000 1.73087i
\(868\) 14.3194 7.50268i 0.486031 0.254657i
\(869\) 30.3349 24.1912i 1.02904 0.820632i
\(870\) −4.70412 26.3027i −0.159485 0.891746i
\(871\) 23.1074 18.4275i 0.782964 0.624393i
\(872\) 3.62655 7.53062i 0.122811 0.255019i
\(873\) −11.7456 11.3449i −0.397527 0.383967i
\(874\) 5.44438 + 11.3054i 0.184159 + 0.382410i
\(875\) 5.94139 + 11.3396i 0.200856 + 0.383347i
\(876\) 0.246633 0.455538i 0.00833295 0.0153912i
\(877\) −25.3033 + 12.1854i −0.854433 + 0.411473i −0.809221 0.587504i \(-0.800111\pi\)
−0.0452119 + 0.998977i \(0.514396\pi\)
\(878\) −1.86097 + 8.15343i −0.0628046 + 0.275165i
\(879\) 15.8150 6.71210i 0.533427 0.226394i
\(880\) 10.4948 8.36929i 0.353778 0.282129i
\(881\) −0.634950 −0.0213920 −0.0106960 0.999943i \(-0.503405\pi\)
−0.0106960 + 0.999943i \(0.503405\pi\)
\(882\) 20.3388 + 5.22795i 0.684844 + 0.176034i
\(883\) 15.3886 0.517867 0.258933 0.965895i \(-0.416629\pi\)
0.258933 + 0.965895i \(0.416629\pi\)
\(884\) 14.1092 11.2517i 0.474545 0.378437i
\(885\) 37.2756 15.8203i 1.25301 0.531793i
\(886\) 2.75137 12.0545i 0.0924341 0.404980i
\(887\) −2.88090 + 1.38737i −0.0967311 + 0.0465832i −0.481624 0.876378i \(-0.659953\pi\)
0.384893 + 0.922961i \(0.374238\pi\)
\(888\) −2.32830 + 4.30045i −0.0781327 + 0.144314i
\(889\) 37.5517 + 27.9222i 1.25944 + 0.936481i
\(890\) 2.37336 + 4.92832i 0.0795551 + 0.165198i
\(891\) −27.2295 31.8146i −0.912223 1.06583i
\(892\) 1.56099 3.24143i 0.0522658 0.108531i
\(893\) −3.54763 + 2.82914i −0.118717 + 0.0946735i
\(894\) −0.0695207 0.388719i −0.00232512 0.0130007i
\(895\) 27.9295 22.2730i 0.933580 0.744505i
\(896\) 1.71861 + 2.01156i 0.0574148 + 0.0672015i
\(897\) 11.6047 13.2146i 0.387470 0.441224i
\(898\) 10.1499 + 4.88794i 0.338707 + 0.163113i
\(899\) 7.27047 + 31.8540i 0.242484 + 1.06239i
\(900\) −9.92357 0.944083i −0.330786 0.0314694i
\(901\) 77.4560i 2.58043i
\(902\) 1.09569 + 4.80055i 0.0364826 + 0.159841i
\(903\) 18.1430 14.0693i 0.603762 0.468196i
\(904\) 1.92688 8.44222i 0.0640872 0.280784i
\(905\) 25.3699 + 5.79052i 0.843324 + 0.192483i
\(906\) −16.5424 14.5270i −0.549583 0.482628i
\(907\) 35.6060 44.6485i 1.18228 1.48253i 0.342571 0.939492i \(-0.388702\pi\)
0.839708 0.543039i \(-0.182726\pi\)
\(908\) −3.27701 + 14.3575i −0.108751 + 0.476471i
\(909\) 0.441744 1.33637i 0.0146517 0.0443244i
\(910\) −14.7499 10.9675i −0.488954 0.363570i
\(911\) 41.8336 9.54825i 1.38601 0.316348i 0.536491 0.843906i \(-0.319749\pi\)
0.849519 + 0.527558i \(0.176892\pi\)
\(912\) 0.244360 5.14869i 0.00809156 0.170490i
\(913\) 60.0463i 1.98724i
\(914\) 39.4294 8.99951i 1.30421 0.297677i
\(915\) −28.4552 + 52.5577i −0.940701 + 1.73750i
\(916\) 12.2944 + 9.80447i 0.406219 + 0.323949i
\(917\) −45.8332 + 12.1056i −1.51355 + 0.399763i
\(918\) −33.5795 + 19.7165i −1.10829 + 0.650741i
\(919\) −3.93329 17.2329i −0.129747 0.568461i −0.997449 0.0713759i \(-0.977261\pi\)
0.867702 0.497085i \(-0.165596\pi\)
\(920\) −7.58428 9.51039i −0.250046 0.313548i
\(921\) −6.31658 + 11.6669i −0.208139 + 0.384438i
\(922\) −6.90319 5.50511i −0.227344 0.181301i
\(923\) 28.8331 13.8853i 0.949054 0.457041i
\(924\) −21.3203 0.289939i −0.701388 0.00953828i
\(925\) −8.45251 4.07052i −0.277917 0.133838i
\(926\) −4.15612 8.63027i −0.136579 0.283608i
\(927\) −0.570358 0.188536i −0.0187330 0.00619232i
\(928\) −4.81784 + 2.32015i −0.158153 + 0.0761626i
\(929\) −23.2399 29.1420i −0.762478 0.956117i 0.237406 0.971411i \(-0.423703\pi\)
−0.999883 + 0.0152941i \(0.995132\pi\)
\(930\) 30.4969 + 1.44740i 1.00003 + 0.0474622i
\(931\) −20.5762 3.25192i −0.674358 0.106577i
\(932\) 10.3597i 0.339342i
\(933\) −16.7001 23.1092i −0.546737 0.756561i
\(934\) 3.72779 + 7.74083i 0.121977 + 0.253288i
\(935\) 98.0722 + 22.3843i 3.20730 + 0.732046i
\(936\) −6.77650 + 2.50398i −0.221497 + 0.0818453i
\(937\) −20.6904 + 42.9641i −0.675927 + 1.40358i 0.227048 + 0.973883i \(0.427092\pi\)
−0.902975 + 0.429693i \(0.858622\pi\)
\(938\) −6.15092 + 31.8843i −0.200835 + 1.04106i
\(939\) −17.0057 40.0687i −0.554960 1.30759i
\(940\) 2.74261 3.43913i 0.0894541 0.112172i
\(941\) −14.5846 7.02355i −0.475443 0.228961i 0.180787 0.983522i \(-0.442136\pi\)
−0.656230 + 0.754561i \(0.727850\pi\)
\(942\) −14.3367 19.8388i −0.467115 0.646382i
\(943\) 4.35027 0.992922i 0.141664 0.0323340i
\(944\) −5.05270 6.33588i −0.164451 0.206215i
\(945\) 28.1497 + 27.9393i 0.915709 + 0.908865i
\(946\) −14.5344 + 18.2255i −0.472553 + 0.592563i
\(947\) −13.9762 + 29.0218i −0.454165 + 0.943083i 0.540637 + 0.841256i \(0.318183\pi\)
−0.994802 + 0.101827i \(0.967531\pi\)
\(948\) 2.54276 + 14.2176i 0.0825851 + 0.461768i
\(949\) 0.720212 0.0233791
\(950\) 9.88843 0.320823
\(951\) −20.1856 + 3.61011i −0.654564 + 0.117066i
\(952\) −3.75571 + 19.4683i −0.121723 + 0.630972i
\(953\) −52.8885 12.0715i −1.71323 0.391033i −0.750364 0.661025i \(-0.770122\pi\)
−0.962863 + 0.269992i \(0.912979\pi\)
\(954\) 9.73173 29.4404i 0.315076 0.953169i
\(955\) 18.3200 + 14.6097i 0.592822 + 0.472759i
\(956\) −3.28312 2.61820i −0.106184 0.0846787i
\(957\) 11.5706 41.5128i 0.374024 1.34192i
\(958\) −2.28468 0.521462i −0.0738145 0.0168477i
\(959\) −0.450122 1.70421i −0.0145352 0.0550320i
\(960\) 0.879704 + 4.91879i 0.0283923 + 0.158753i
\(961\) −6.33352 −0.204307
\(962\) −6.79906 −0.219210
\(963\) −13.3129 + 1.73439i −0.429001 + 0.0558899i
\(964\) −6.52248 + 13.5441i −0.210075 + 0.436225i
\(965\) −20.8141 + 26.1000i −0.670029 + 0.840190i
\(966\) −0.262744 + 19.3206i −0.00845364 + 0.621630i
\(967\) 26.8752 + 33.7004i 0.864248 + 1.08373i 0.995721 + 0.0924125i \(0.0294579\pi\)
−0.131473 + 0.991320i \(0.541971\pi\)
\(968\) 10.3826 2.36976i 0.333709 0.0761668i
\(969\) 31.3082 22.6252i 1.00576 0.726826i
\(970\) −14.1484 6.81350i −0.454277 0.218768i
\(971\) 1.64618 2.06424i 0.0528284 0.0662447i −0.754715 0.656052i \(-0.772225\pi\)
0.807544 + 0.589808i \(0.200796\pi\)
\(972\) 15.2405 3.27508i 0.488840 0.105048i
\(973\) −30.5041 13.4388i −0.977917 0.430827i
\(974\) 2.02135 4.19737i 0.0647682 0.134492i
\(975\) −5.41458 12.7578i −0.173405 0.408576i
\(976\) 11.6609 + 2.66153i 0.373258 + 0.0851936i
\(977\) 0.531524 + 1.10372i 0.0170050 + 0.0353112i 0.909298 0.416145i \(-0.136619\pi\)
−0.892293 + 0.451456i \(0.850905\pi\)
\(978\) 14.0345 10.1422i 0.448773 0.324311i
\(979\) 8.82226i 0.281961i
\(980\) 20.1483 1.36518i 0.643613 0.0436092i
\(981\) −24.9624 2.37481i −0.796987 0.0758217i
\(982\) 9.53907 + 11.9616i 0.304404 + 0.381711i
\(983\) −44.8504 + 21.5988i −1.43050 + 0.688895i −0.979091 0.203421i \(-0.934794\pi\)
−0.451413 + 0.892315i \(0.649080\pi\)
\(984\) −1.76566 0.492131i −0.0562873 0.0156886i
\(985\) −17.4954 36.3295i −0.557448 1.15755i
\(986\) −36.1049 17.3872i −1.14981 0.553722i
\(987\) −6.83264 + 1.46205i −0.217485 + 0.0465375i
\(988\) 6.45669 3.10938i 0.205415 0.0989225i
\(989\) 16.5160 + 13.1711i 0.525180 + 0.418817i
\(990\) −34.4641 20.8301i −1.09534 0.662024i
\(991\) −13.1258 16.4592i −0.416954 0.522844i 0.528353 0.849025i \(-0.322810\pi\)
−0.945307 + 0.326181i \(0.894238\pi\)
\(992\) −1.35963 5.95692i −0.0431683 0.189132i
\(993\) 16.1263 + 22.3152i 0.511753 + 0.708150i
\(994\) −14.1755 + 32.1764i −0.449619 + 1.02057i
\(995\) −4.78444 3.81547i −0.151677 0.120958i
\(996\) 19.6563 + 10.6421i 0.622834 + 0.337208i
\(997\) 14.5443 3.31963i 0.460621 0.105134i 0.0140879 0.999901i \(-0.495516\pi\)
0.446533 + 0.894767i \(0.352658\pi\)
\(998\) 11.9680i 0.378839i
\(999\) 14.5226 + 2.08026i 0.459475 + 0.0658165i
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 294.2.j.a.41.1 120
3.2 odd 2 inner 294.2.j.a.41.19 yes 120
49.6 odd 14 inner 294.2.j.a.251.19 yes 120
147.104 even 14 inner 294.2.j.a.251.1 yes 120
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
294.2.j.a.41.1 120 1.1 even 1 trivial
294.2.j.a.41.19 yes 120 3.2 odd 2 inner
294.2.j.a.251.1 yes 120 147.104 even 14 inner
294.2.j.a.251.19 yes 120 49.6 odd 14 inner