Properties

Label 99.2.p.a.74.1
Level $99$
Weight $2$
Character 99.74
Analytic conductor $0.791$
Analytic rank $0$
Dimension $80$
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [99,2,Mod(2,99)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(99, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([5, 3]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("99.2");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 99 = 3^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 99.p (of order \(30\), degree \(8\), 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: \(0.790518980011\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(10\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 74.1
Character \(\chi\) \(=\) 99.74
Dual form 99.2.p.a.95.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.281588 - 2.67913i) q^{2} +(1.33430 - 1.10437i) q^{3} +(-5.14217 + 1.09300i) q^{4} +(1.43896 + 0.151241i) q^{5} +(-3.33448 - 3.26380i) q^{6} +(-1.07283 + 0.965979i) q^{7} +(2.71136 + 8.34470i) q^{8} +(0.560727 - 2.94713i) q^{9} -3.89775i q^{10} +(2.66871 + 1.96926i) q^{11} +(-5.65413 + 7.13726i) q^{12} +(-1.21080 + 2.71950i) q^{13} +(2.89008 + 2.60224i) q^{14} +(2.08703 - 1.38735i) q^{15} +(11.9880 - 5.33739i) q^{16} +(-3.35854 - 2.44012i) q^{17} +(-8.05365 - 0.672385i) q^{18} +(-1.19136 + 0.387096i) q^{19} +(-7.56469 + 0.795081i) q^{20} +(-0.364678 + 2.47371i) q^{21} +(4.52444 - 7.70435i) q^{22} +(5.02939 - 2.90372i) q^{23} +(12.8334 + 8.14001i) q^{24} +(-2.84300 - 0.604299i) q^{25} +(7.62685 + 2.47811i) q^{26} +(-2.50655 - 4.55162i) q^{27} +(4.46085 - 6.13983i) q^{28} +(-0.0651453 - 0.0723511i) q^{29} +(-4.30457 - 5.20078i) q^{30} +(3.73471 + 1.66280i) q^{31} +(-8.90112 - 15.4172i) q^{32} +(5.73566 - 0.319656i) q^{33} +(-5.59169 + 9.68509i) q^{34} +(-1.68985 + 1.22775i) q^{35} +(0.337866 + 15.7675i) q^{36} +(-3.08635 + 9.49880i) q^{37} +(1.37255 + 3.08281i) q^{38} +(1.38777 + 4.96581i) q^{39} +(2.63948 + 12.4178i) q^{40} +(-3.05835 + 3.39664i) q^{41} +(6.73009 + 0.280454i) q^{42} +(-1.84140 - 1.06313i) q^{43} +(-15.8754 - 7.20937i) q^{44} +(1.25259 - 4.15600i) q^{45} +(-9.19566 - 12.6567i) q^{46} +(1.50921 - 7.10026i) q^{47} +(10.1011 - 20.3609i) q^{48} +(-0.513854 + 4.88899i) q^{49} +(-0.818442 + 7.78695i) q^{50} +(-7.17611 + 0.453215i) q^{51} +(3.25372 - 15.3075i) q^{52} +(-0.197492 - 0.271824i) q^{53} +(-11.4886 + 7.99706i) q^{54} +(3.54233 + 3.23731i) q^{55} +(-10.9696 - 6.33332i) q^{56} +(-1.16214 + 1.83221i) q^{57} +(-0.175494 + 0.194906i) q^{58} +(0.629292 + 2.96059i) q^{59} +(-9.21552 + 9.41510i) q^{60} +(0.129468 + 0.290790i) q^{61} +(3.40321 - 10.4740i) q^{62} +(2.24530 + 3.70342i) q^{63} +(-17.5657 + 12.7622i) q^{64} +(-2.15359 + 3.73013i) q^{65} +(-2.47150 - 15.2766i) q^{66} +(-1.71828 - 2.97615i) q^{67} +(19.9373 + 8.87664i) q^{68} +(3.50394 - 9.42875i) q^{69} +(3.76515 + 4.18162i) q^{70} +(-5.38901 + 7.41734i) q^{71} +(26.1133 - 3.31163i) q^{72} +(-6.75113 - 2.19358i) q^{73} +(26.3176 + 5.59399i) q^{74} +(-4.46080 + 2.33342i) q^{75} +(5.70308 - 3.29267i) q^{76} +(-4.76533 + 0.465238i) q^{77} +(12.9133 - 5.11632i) q^{78} +(9.96549 - 1.04742i) q^{79} +(18.0574 - 5.86722i) q^{80} +(-8.37117 - 3.30507i) q^{81} +(9.96124 + 7.23727i) q^{82} +(5.44872 - 2.42593i) q^{83} +(-0.828533 - 13.1188i) q^{84} +(-4.46376 - 4.01919i) q^{85} +(-2.32976 + 5.23272i) q^{86} +(-0.166826 - 0.0245938i) q^{87} +(-9.19707 + 27.6090i) q^{88} -5.11584i q^{89} +(-11.4872 - 2.18558i) q^{90} +(-1.32800 - 4.08716i) q^{91} +(-22.6882 + 20.4285i) q^{92} +(6.81957 - 1.90583i) q^{93} +(-19.4475 - 2.04402i) q^{94} +(-1.77286 + 0.376834i) q^{95} +(-28.9031 - 10.7411i) q^{96} +(-0.631450 - 6.00784i) q^{97} +13.2430 q^{98} +(7.30009 - 6.76082i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80 q - 15 q^{2} - 3 q^{3} + 5 q^{4} - 6 q^{5} - 15 q^{6} - 5 q^{7} - q^{9} - 3 q^{11} - 54 q^{12} - 5 q^{13} - 9 q^{14} + 5 q^{16} - 50 q^{19} - 3 q^{20} - 11 q^{22} - 42 q^{23} - 5 q^{24} - 2 q^{25} + 3 q^{27}+ \cdots + 35 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).

\(n\) \(46\) \(56\)
\(\chi(n)\) \(e\left(\frac{3}{10}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.281588 2.67913i −0.199113 1.89443i −0.402631 0.915362i \(-0.631904\pi\)
0.203518 0.979071i \(-0.434762\pi\)
\(3\) 1.33430 1.10437i 0.770360 0.637609i
\(4\) −5.14217 + 1.09300i −2.57109 + 0.546501i
\(5\) 1.43896 + 0.151241i 0.643523 + 0.0676370i 0.420668 0.907215i \(-0.361796\pi\)
0.222855 + 0.974852i \(0.428462\pi\)
\(6\) −3.33448 3.26380i −1.36130 1.33244i
\(7\) −1.07283 + 0.965979i −0.405491 + 0.365106i −0.846493 0.532401i \(-0.821290\pi\)
0.441001 + 0.897506i \(0.354623\pi\)
\(8\) 2.71136 + 8.34470i 0.958610 + 2.95030i
\(9\) 0.560727 2.94713i 0.186909 0.982377i
\(10\) 3.89775i 1.23258i
\(11\) 2.66871 + 1.96926i 0.804646 + 0.593755i
\(12\) −5.65413 + 7.13726i −1.63221 + 2.06035i
\(13\) −1.21080 + 2.71950i −0.335815 + 0.754253i 0.664163 + 0.747588i \(0.268788\pi\)
−0.999978 + 0.00666518i \(0.997878\pi\)
\(14\) 2.89008 + 2.60224i 0.772407 + 0.695479i
\(15\) 2.08703 1.38735i 0.538870 0.358211i
\(16\) 11.9880 5.33739i 2.99699 1.33435i
\(17\) −3.35854 2.44012i −0.814566 0.591817i 0.100585 0.994928i \(-0.467929\pi\)
−0.915151 + 0.403112i \(0.867929\pi\)
\(18\) −8.05365 0.672385i −1.89826 0.158483i
\(19\) −1.19136 + 0.387096i −0.273317 + 0.0888059i −0.442468 0.896784i \(-0.645897\pi\)
0.169152 + 0.985590i \(0.445897\pi\)
\(20\) −7.56469 + 0.795081i −1.69152 + 0.177785i
\(21\) −0.364678 + 2.47371i −0.0795793 + 0.539808i
\(22\) 4.52444 7.70435i 0.964613 1.64257i
\(23\) 5.02939 2.90372i 1.04870 0.605467i 0.126414 0.991978i \(-0.459653\pi\)
0.922285 + 0.386511i \(0.126320\pi\)
\(24\) 12.8334 + 8.14001i 2.61961 + 1.66157i
\(25\) −2.84300 0.604299i −0.568601 0.120860i
\(26\) 7.62685 + 2.47811i 1.49575 + 0.485998i
\(27\) −2.50655 4.55162i −0.482385 0.875959i
\(28\) 4.46085 6.13983i 0.843021 1.16032i
\(29\) −0.0651453 0.0723511i −0.0120972 0.0134353i 0.737066 0.675821i \(-0.236211\pi\)
−0.749163 + 0.662386i \(0.769544\pi\)
\(30\) −4.30457 5.20078i −0.785903 0.949529i
\(31\) 3.73471 + 1.66280i 0.670773 + 0.298647i 0.713721 0.700430i \(-0.247008\pi\)
−0.0429482 + 0.999077i \(0.513675\pi\)
\(32\) −8.90112 15.4172i −1.57351 2.72540i
\(33\) 5.73566 0.319656i 0.998451 0.0556450i
\(34\) −5.59169 + 9.68509i −0.958967 + 1.66098i
\(35\) −1.68985 + 1.22775i −0.285637 + 0.207528i
\(36\) 0.337866 + 15.7675i 0.0563111 + 2.62792i
\(37\) −3.08635 + 9.49880i −0.507392 + 1.56159i 0.289319 + 0.957233i \(0.406571\pi\)
−0.796711 + 0.604360i \(0.793429\pi\)
\(38\) 1.37255 + 3.08281i 0.222658 + 0.500098i
\(39\) 1.38777 + 4.96581i 0.222220 + 0.795166i
\(40\) 2.63948 + 12.4178i 0.417338 + 1.96342i
\(41\) −3.05835 + 3.39664i −0.477634 + 0.530466i −0.933018 0.359829i \(-0.882835\pi\)
0.455385 + 0.890295i \(0.349502\pi\)
\(42\) 6.73009 + 0.280454i 1.03848 + 0.0432749i
\(43\) −1.84140 1.06313i −0.280811 0.162126i 0.352980 0.935631i \(-0.385168\pi\)
−0.633790 + 0.773505i \(0.718502\pi\)
\(44\) −15.8754 7.20937i −2.39330 1.08685i
\(45\) 1.25259 4.15600i 0.186725 0.619540i
\(46\) −9.19566 12.6567i −1.35583 1.86614i
\(47\) 1.50921 7.10026i 0.220141 1.03568i −0.719758 0.694225i \(-0.755747\pi\)
0.939898 0.341454i \(-0.110920\pi\)
\(48\) 10.1011 20.3609i 1.45797 2.93884i
\(49\) −0.513854 + 4.88899i −0.0734077 + 0.698428i
\(50\) −0.818442 + 7.78695i −0.115745 + 1.10124i
\(51\) −7.17611 + 0.453215i −1.00486 + 0.0634627i
\(52\) 3.25372 15.3075i 0.451209 2.12277i
\(53\) −0.197492 0.271824i −0.0271276 0.0373379i 0.795238 0.606298i \(-0.207346\pi\)
−0.822365 + 0.568960i \(0.807346\pi\)
\(54\) −11.4886 + 7.99706i −1.56340 + 1.08826i
\(55\) 3.54233 + 3.23731i 0.477648 + 0.436518i
\(56\) −10.9696 6.33332i −1.46588 0.846325i
\(57\) −1.16214 + 1.83221i −0.153929 + 0.242682i
\(58\) −0.175494 + 0.194906i −0.0230435 + 0.0255924i
\(59\) 0.629292 + 2.96059i 0.0819268 + 0.385435i 0.999938 0.0111187i \(-0.00353925\pi\)
−0.918011 + 0.396554i \(0.870206\pi\)
\(60\) −9.21552 + 9.41510i −1.18972 + 1.21548i
\(61\) 0.129468 + 0.290790i 0.0165767 + 0.0372319i 0.921644 0.388036i \(-0.126846\pi\)
−0.905067 + 0.425268i \(0.860180\pi\)
\(62\) 3.40321 10.4740i 0.432208 1.33020i
\(63\) 2.24530 + 3.70342i 0.282882 + 0.466587i
\(64\) −17.5657 + 12.7622i −2.19571 + 1.59527i
\(65\) −2.15359 + 3.73013i −0.267120 + 0.462666i
\(66\) −2.47150 15.2766i −0.304220 1.88042i
\(67\) −1.71828 2.97615i −0.209922 0.363595i 0.741768 0.670657i \(-0.233988\pi\)
−0.951690 + 0.307062i \(0.900654\pi\)
\(68\) 19.9373 + 8.87664i 2.41775 + 1.07645i
\(69\) 3.50394 9.42875i 0.421825 1.13509i
\(70\) 3.76515 + 4.18162i 0.450021 + 0.499799i
\(71\) −5.38901 + 7.41734i −0.639558 + 0.880276i −0.998592 0.0530483i \(-0.983106\pi\)
0.359034 + 0.933325i \(0.383106\pi\)
\(72\) 26.1133 3.31163i 3.07748 0.390279i
\(73\) −6.75113 2.19358i −0.790160 0.256739i −0.113988 0.993482i \(-0.536363\pi\)
−0.676172 + 0.736743i \(0.736363\pi\)
\(74\) 26.3176 + 5.59399i 3.05936 + 0.650288i
\(75\) −4.46080 + 2.33342i −0.515089 + 0.269440i
\(76\) 5.70308 3.29267i 0.654188 0.377695i
\(77\) −4.76533 + 0.465238i −0.543060 + 0.0530188i
\(78\) 12.9133 5.11632i 1.46214 0.579309i
\(79\) 9.96549 1.04742i 1.12121 0.117843i 0.474264 0.880383i \(-0.342714\pi\)
0.646942 + 0.762539i \(0.276048\pi\)
\(80\) 18.0574 5.86722i 2.01888 0.655975i
\(81\) −8.37117 3.30507i −0.930130 0.367230i
\(82\) 9.96124 + 7.23727i 1.10004 + 0.799222i
\(83\) 5.44872 2.42593i 0.598075 0.266280i −0.0852911 0.996356i \(-0.527182\pi\)
0.683366 + 0.730076i \(0.260515\pi\)
\(84\) −0.828533 13.1188i −0.0904004 1.43138i
\(85\) −4.46376 4.01919i −0.484163 0.435942i
\(86\) −2.32976 + 5.23272i −0.251224 + 0.564259i
\(87\) −0.166826 0.0245938i −0.0178856 0.00263673i
\(88\) −9.19707 + 27.6090i −0.980411 + 2.94312i
\(89\) 5.11584i 0.542278i −0.962540 0.271139i \(-0.912600\pi\)
0.962540 0.271139i \(-0.0874004\pi\)
\(90\) −11.4872 2.18558i −1.21086 0.230380i
\(91\) −1.32800 4.08716i −0.139212 0.428451i
\(92\) −22.6882 + 20.4285i −2.36541 + 2.12982i
\(93\) 6.81957 1.90583i 0.707157 0.197625i
\(94\) −19.4475 2.04402i −2.00586 0.210824i
\(95\) −1.77286 + 0.376834i −0.181892 + 0.0386623i
\(96\) −28.9031 10.7411i −2.94991 1.09625i
\(97\) −0.631450 6.00784i −0.0641140 0.610004i −0.978655 0.205511i \(-0.934114\pi\)
0.914541 0.404493i \(-0.132552\pi\)
\(98\) 13.2430 1.33774
\(99\) 7.30009 6.76082i 0.733687 0.679488i
\(100\) 15.2797 1.52797
\(101\) −1.21696 11.5786i −0.121092 1.15211i −0.871246 0.490847i \(-0.836687\pi\)
0.750154 0.661263i \(-0.229979\pi\)
\(102\) 3.23493 + 19.0981i 0.320306 + 1.89100i
\(103\) 3.27668 0.696481i 0.322861 0.0686263i −0.0436300 0.999048i \(-0.513892\pi\)
0.366491 + 0.930421i \(0.380559\pi\)
\(104\) −25.9763 2.73022i −2.54719 0.267720i
\(105\) −0.898883 + 3.50442i −0.0877220 + 0.341996i
\(106\) −0.672642 + 0.605650i −0.0653328 + 0.0588259i
\(107\) −2.92166 8.99195i −0.282448 0.869285i −0.987152 0.159784i \(-0.948920\pi\)
0.704704 0.709501i \(-0.251080\pi\)
\(108\) 17.8640 + 20.6655i 1.71897 + 1.98854i
\(109\) 4.11325i 0.393978i −0.980406 0.196989i \(-0.936884\pi\)
0.980406 0.196989i \(-0.0631163\pi\)
\(110\) 7.67570 10.4020i 0.731849 0.991789i
\(111\) 6.37208 + 16.0828i 0.604811 + 1.52651i
\(112\) −7.70523 + 17.3062i −0.728076 + 1.63529i
\(113\) −15.0282 13.5315i −1.41374 1.27293i −0.913377 0.407116i \(-0.866535\pi\)
−0.500359 0.865818i \(-0.666799\pi\)
\(114\) 5.23597 + 2.59759i 0.490394 + 0.243287i
\(115\) 7.67625 3.41769i 0.715814 0.318701i
\(116\) 0.414068 + 0.300838i 0.0384452 + 0.0279321i
\(117\) 7.33579 + 5.09328i 0.678194 + 0.470874i
\(118\) 7.75460 2.51962i 0.713869 0.231950i
\(119\) 5.96025 0.626447i 0.546375 0.0574263i
\(120\) 17.2357 + 13.6541i 1.57340 + 1.24644i
\(121\) 3.24402 + 10.5108i 0.294911 + 0.955525i
\(122\) 0.742609 0.428746i 0.0672327 0.0388168i
\(123\) −0.329610 + 7.90969i −0.0297199 + 0.713193i
\(124\) −21.0219 4.46835i −1.88783 0.401270i
\(125\) −10.8799 3.53510i −0.973131 0.316189i
\(126\) 9.28970 7.05831i 0.827592 0.628804i
\(127\) −0.0604870 + 0.0832533i −0.00536736 + 0.00738753i −0.811692 0.584085i \(-0.801453\pi\)
0.806325 + 0.591473i \(0.201453\pi\)
\(128\) 15.3139 + 17.0078i 1.35357 + 1.50329i
\(129\) −3.63108 + 0.615048i −0.319698 + 0.0541520i
\(130\) 10.5999 + 4.71940i 0.929676 + 0.413919i
\(131\) 7.68267 + 13.3068i 0.671238 + 1.16262i 0.977553 + 0.210689i \(0.0675706\pi\)
−0.306315 + 0.951930i \(0.599096\pi\)
\(132\) −29.1444 + 7.91282i −2.53669 + 0.688722i
\(133\) 0.904197 1.56612i 0.0784039 0.135799i
\(134\) −7.48966 + 5.44156i −0.647008 + 0.470079i
\(135\) −2.91843 6.92869i −0.251179 0.596327i
\(136\) 11.2559 34.6421i 0.965185 2.97053i
\(137\) −1.51448 3.40157i −0.129391 0.290616i 0.837220 0.546867i \(-0.184179\pi\)
−0.966610 + 0.256250i \(0.917513\pi\)
\(138\) −26.2475 6.73250i −2.23434 0.573108i
\(139\) −3.53785 16.6443i −0.300077 1.41175i −0.827174 0.561945i \(-0.810053\pi\)
0.527097 0.849805i \(-0.323280\pi\)
\(140\) 7.34758 8.16031i 0.620984 0.689672i
\(141\) −5.82759 11.1406i −0.490771 0.938210i
\(142\) 21.3895 + 12.3492i 1.79497 + 1.03633i
\(143\) −8.58668 + 4.87317i −0.718054 + 0.407515i
\(144\) −9.00801 38.3230i −0.750667 3.19358i
\(145\) −0.0827990 0.113963i −0.00687608 0.00946412i
\(146\) −3.97584 + 18.7049i −0.329043 + 1.54803i
\(147\) 4.71363 + 7.09088i 0.388774 + 0.584846i
\(148\) 5.48832 52.2178i 0.451137 4.29228i
\(149\) −1.19705 + 11.3892i −0.0980665 + 0.933040i 0.829279 + 0.558834i \(0.188751\pi\)
−0.927346 + 0.374206i \(0.877915\pi\)
\(150\) 7.50764 + 11.2940i 0.612996 + 0.922153i
\(151\) −0.221010 + 1.03977i −0.0179855 + 0.0846153i −0.986225 0.165409i \(-0.947105\pi\)
0.968239 + 0.250025i \(0.0804388\pi\)
\(152\) −6.46040 8.89198i −0.524008 0.721235i
\(153\) −9.07459 + 8.52982i −0.733637 + 0.689595i
\(154\) 2.58830 + 12.6360i 0.208571 + 1.01823i
\(155\) 5.12261 + 2.95754i 0.411458 + 0.237555i
\(156\) −12.5638 24.0182i −1.00591 1.92299i
\(157\) −0.0571368 + 0.0634569i −0.00456002 + 0.00506441i −0.745421 0.666595i \(-0.767751\pi\)
0.740861 + 0.671659i \(0.234418\pi\)
\(158\) −5.61233 26.4039i −0.446493 2.10058i
\(159\) −0.563709 0.144591i −0.0447050 0.0114668i
\(160\) −10.4766 23.5309i −0.828252 1.86028i
\(161\) −2.59074 + 7.97347i −0.204179 + 0.628398i
\(162\) −6.49751 + 23.3582i −0.510493 + 1.83519i
\(163\) −2.37021 + 1.72206i −0.185650 + 0.134882i −0.676728 0.736233i \(-0.736603\pi\)
0.491079 + 0.871115i \(0.336603\pi\)
\(164\) 12.0140 20.8089i 0.938136 1.62490i
\(165\) 8.30174 + 0.407494i 0.646289 + 0.0317233i
\(166\) −8.03368 13.9147i −0.623534 1.07999i
\(167\) 4.06863 + 1.81147i 0.314840 + 0.140176i 0.558072 0.829792i \(-0.311541\pi\)
−0.243233 + 0.969968i \(0.578208\pi\)
\(168\) −21.6311 + 3.66398i −1.66888 + 0.282682i
\(169\) 2.76906 + 3.07535i 0.213004 + 0.236565i
\(170\) −9.51100 + 13.0908i −0.729461 + 1.00402i
\(171\) 0.472796 + 3.72815i 0.0361556 + 0.285099i
\(172\) 10.6308 + 3.45415i 0.810590 + 0.263377i
\(173\) −10.2220 2.17276i −0.777166 0.165192i −0.197781 0.980246i \(-0.563374\pi\)
−0.579384 + 0.815055i \(0.696707\pi\)
\(174\) −0.0189137 + 0.453875i −0.00143384 + 0.0344081i
\(175\) 3.63380 2.09797i 0.274689 0.158592i
\(176\) 42.5031 + 9.36351i 3.20379 + 0.705801i
\(177\) 4.10925 + 3.25535i 0.308870 + 0.244687i
\(178\) −13.7060 + 1.44056i −1.02731 + 0.107975i
\(179\) 9.58188 3.11334i 0.716183 0.232702i 0.0718157 0.997418i \(-0.477121\pi\)
0.644368 + 0.764716i \(0.277121\pi\)
\(180\) −1.89852 + 22.7399i −0.141507 + 1.69494i
\(181\) 12.5433 + 9.11327i 0.932339 + 0.677384i 0.946564 0.322515i \(-0.104528\pi\)
−0.0142256 + 0.999899i \(0.504528\pi\)
\(182\) −10.5761 + 4.70879i −0.783953 + 0.349038i
\(183\) 0.493890 + 0.245021i 0.0365094 + 0.0181125i
\(184\) 37.8671 + 34.0957i 2.79160 + 2.51357i
\(185\) −5.87774 + 13.2016i −0.432140 + 0.970602i
\(186\) −7.02628 17.7339i −0.515192 1.30031i
\(187\) −4.15773 13.1258i −0.304043 0.959855i
\(188\) 38.1603i 2.78313i
\(189\) 7.08586 + 2.46183i 0.515421 + 0.179072i
\(190\) 1.50881 + 4.64363i 0.109460 + 0.336884i
\(191\) 2.76063 2.48568i 0.199752 0.179857i −0.563184 0.826331i \(-0.690424\pi\)
0.762936 + 0.646474i \(0.223757\pi\)
\(192\) −9.34369 + 36.4276i −0.674323 + 2.62894i
\(193\) 24.8007 + 2.60666i 1.78519 + 0.187631i 0.938692 0.344756i \(-0.112038\pi\)
0.846501 + 0.532387i \(0.178705\pi\)
\(194\) −15.9180 + 3.38348i −1.14285 + 0.242919i
\(195\) 1.24591 + 7.35549i 0.0892212 + 0.526737i
\(196\) −2.70136 25.7017i −0.192954 1.83583i
\(197\) 19.2214 1.36947 0.684733 0.728794i \(-0.259919\pi\)
0.684733 + 0.728794i \(0.259919\pi\)
\(198\) −20.1688 17.6541i −1.43333 1.25463i
\(199\) −26.0126 −1.84399 −0.921993 0.387206i \(-0.873440\pi\)
−0.921993 + 0.387206i \(0.873440\pi\)
\(200\) −2.66571 25.3625i −0.188494 1.79340i
\(201\) −5.57949 2.07347i −0.393547 0.146251i
\(202\) −30.6778 + 6.52077i −2.15848 + 0.458800i
\(203\) 0.139779 + 0.0146914i 0.00981059 + 0.00103113i
\(204\) 36.4054 10.1740i 2.54889 0.712323i
\(205\) −4.91455 + 4.42508i −0.343247 + 0.309061i
\(206\) −2.78864 8.58255i −0.194294 0.597975i
\(207\) −5.73752 16.4505i −0.398785 1.14339i
\(208\) 39.0638i 2.70859i
\(209\) −3.94168 1.31305i −0.272652 0.0908256i
\(210\) 9.64191 + 1.42143i 0.665355 + 0.0980877i
\(211\) −9.24806 + 20.7715i −0.636663 + 1.42997i 0.250319 + 0.968163i \(0.419464\pi\)
−0.886982 + 0.461804i \(0.847202\pi\)
\(212\) 1.31264 + 1.18191i 0.0901526 + 0.0811737i
\(213\) 1.00092 + 15.8484i 0.0685822 + 1.08592i
\(214\) −23.2679 + 10.3596i −1.59056 + 0.708165i
\(215\) −2.48891 1.80830i −0.169742 0.123325i
\(216\) 31.1857 33.2575i 2.12192 2.26288i
\(217\) −5.61293 + 1.82375i −0.381030 + 0.123804i
\(218\) −11.0199 + 1.15824i −0.746365 + 0.0784461i
\(219\) −11.4306 + 4.52886i −0.772407 + 0.306032i
\(220\) −21.7537 12.7750i −1.46663 0.861291i
\(221\) 10.7024 6.17905i 0.719923 0.415648i
\(222\) 41.2935 21.6004i 2.77144 1.44972i
\(223\) 22.2512 + 4.72965i 1.49005 + 0.316721i 0.879746 0.475444i \(-0.157712\pi\)
0.610308 + 0.792164i \(0.291046\pi\)
\(224\) 24.4421 + 7.94170i 1.63310 + 0.530627i
\(225\) −3.37510 + 8.03986i −0.225007 + 0.535991i
\(226\) −32.0208 + 44.0729i −2.13000 + 2.93169i
\(227\) 5.43847 + 6.04004i 0.360964 + 0.400891i 0.896084 0.443885i \(-0.146400\pi\)
−0.535120 + 0.844776i \(0.679733\pi\)
\(228\) 3.97330 10.6917i 0.263138 0.708077i
\(229\) 12.4183 + 5.52899i 0.820625 + 0.365366i 0.773715 0.633533i \(-0.218396\pi\)
0.0469095 + 0.998899i \(0.485063\pi\)
\(230\) −11.3180 19.6033i −0.746285 1.29260i
\(231\) −5.84460 + 5.88347i −0.384546 + 0.387104i
\(232\) 0.427117 0.739788i 0.0280416 0.0485694i
\(233\) 4.09157 2.97270i 0.268048 0.194748i −0.445640 0.895212i \(-0.647024\pi\)
0.713687 + 0.700464i \(0.247024\pi\)
\(234\) 11.5799 21.0878i 0.757002 1.37855i
\(235\) 3.24554 9.98874i 0.211716 0.651594i
\(236\) −6.47185 14.5360i −0.421282 0.946214i
\(237\) 12.1402 12.4032i 0.788594 0.805673i
\(238\) −3.35667 15.7919i −0.217581 1.02364i
\(239\) 13.4937 14.9862i 0.872832 0.969378i −0.126914 0.991914i \(-0.540507\pi\)
0.999746 + 0.0225358i \(0.00717397\pi\)
\(240\) 17.6145 27.7708i 1.13701 1.79260i
\(241\) −24.5094 14.1505i −1.57879 0.911516i −0.995028 0.0995930i \(-0.968246\pi\)
−0.583764 0.811923i \(-0.698421\pi\)
\(242\) 27.2463 11.6509i 1.75146 0.748947i
\(243\) −14.8197 + 4.83491i −0.950684 + 0.310160i
\(244\) −0.983581 1.35378i −0.0629674 0.0866671i
\(245\) −1.47883 + 6.95735i −0.0944790 + 0.444489i
\(246\) 21.2839 1.34421i 1.35701 0.0857036i
\(247\) 0.389789 3.70860i 0.0248017 0.235972i
\(248\) −3.74943 + 35.6734i −0.238089 + 2.26527i
\(249\) 4.59112 9.25433i 0.290950 0.586469i
\(250\) −6.40735 + 30.1442i −0.405237 + 1.90649i
\(251\) 13.7475 + 18.9219i 0.867737 + 1.19434i 0.979669 + 0.200622i \(0.0642964\pi\)
−0.111931 + 0.993716i \(0.535704\pi\)
\(252\) −15.5936 16.5895i −0.982303 1.04504i
\(253\) 19.1401 + 2.15500i 1.20333 + 0.135483i
\(254\) 0.240079 + 0.138610i 0.0150639 + 0.00869715i
\(255\) −10.3947 0.433163i −0.650941 0.0271257i
\(256\) 12.1971 13.5463i 0.762319 0.846641i
\(257\) 0.0865878 + 0.407364i 0.00540120 + 0.0254106i 0.980766 0.195189i \(-0.0625320\pi\)
−0.975364 + 0.220599i \(0.929199\pi\)
\(258\) 2.67027 + 9.55495i 0.166243 + 0.594865i
\(259\) −5.86452 13.1719i −0.364404 0.818464i
\(260\) 6.99709 21.5348i 0.433941 1.33553i
\(261\) −0.249757 + 0.151422i −0.0154596 + 0.00937281i
\(262\) 33.4873 24.3299i 2.06885 1.50311i
\(263\) −14.0588 + 24.3505i −0.866902 + 1.50152i −0.00175644 + 0.999998i \(0.500559\pi\)
−0.865146 + 0.501520i \(0.832774\pi\)
\(264\) 18.2189 + 46.9957i 1.12129 + 2.89238i
\(265\) −0.243072 0.421013i −0.0149318 0.0258626i
\(266\) −4.45045 1.98147i −0.272874 0.121491i
\(267\) −5.64979 6.82609i −0.345762 0.417750i
\(268\) 12.0886 + 13.4258i 0.738431 + 0.820111i
\(269\) 7.97137 10.9716i 0.486023 0.668953i −0.493625 0.869675i \(-0.664329\pi\)
0.979648 + 0.200721i \(0.0643286\pi\)
\(270\) −17.7411 + 9.76991i −1.07969 + 0.594578i
\(271\) −10.5963 3.44294i −0.643678 0.209144i −0.0310533 0.999518i \(-0.509886\pi\)
−0.612624 + 0.790374i \(0.709886\pi\)
\(272\) −53.2860 11.3263i −3.23094 0.686757i
\(273\) −6.28570 3.98691i −0.380428 0.241299i
\(274\) −8.68681 + 5.01533i −0.524789 + 0.302987i
\(275\) −6.39713 7.21132i −0.385762 0.434859i
\(276\) −7.71222 + 52.3140i −0.464221 + 3.14894i
\(277\) 9.73067 1.02273i 0.584659 0.0614502i 0.192419 0.981313i \(-0.438367\pi\)
0.392240 + 0.919863i \(0.371700\pi\)
\(278\) −43.5961 + 14.1652i −2.61472 + 0.849573i
\(279\) 6.99464 10.0743i 0.418758 0.603132i
\(280\) −14.8270 10.7724i −0.886083 0.643777i
\(281\) 11.1314 4.95603i 0.664046 0.295652i −0.0468995 0.998900i \(-0.514934\pi\)
0.710945 + 0.703247i \(0.248267\pi\)
\(282\) −28.2062 + 18.7500i −1.67966 + 1.11654i
\(283\) −11.4395 10.3001i −0.680006 0.612280i 0.254988 0.966944i \(-0.417928\pi\)
−0.934994 + 0.354664i \(0.884595\pi\)
\(284\) 19.6041 44.0314i 1.16329 2.61278i
\(285\) −1.94937 + 2.46071i −0.115471 + 0.145760i
\(286\) 15.4738 + 21.6326i 0.914984 + 1.27916i
\(287\) 6.59831i 0.389486i
\(288\) −50.4276 + 17.5879i −2.97147 + 1.03638i
\(289\) 0.0723102 + 0.222548i 0.00425354 + 0.0130911i
\(290\) −0.282007 + 0.253920i −0.0165600 + 0.0149107i
\(291\) −7.47744 7.31893i −0.438335 0.429043i
\(292\) 37.1131 + 3.90074i 2.17188 + 0.228274i
\(293\) 26.6244 5.65919i 1.55541 0.330613i 0.651608 0.758556i \(-0.274095\pi\)
0.903806 + 0.427943i \(0.140761\pi\)
\(294\) 17.6701 14.6252i 1.03054 0.852956i
\(295\) 0.457765 + 4.35534i 0.0266521 + 0.253578i
\(296\) −87.6328 −5.09356
\(297\) 2.27407 17.0830i 0.131955 0.991256i
\(298\) 30.8503 1.78711
\(299\) 1.80708 + 17.1932i 0.104506 + 0.994310i
\(300\) 20.3878 16.8745i 1.17709 0.974249i
\(301\) 3.00247 0.638194i 0.173059 0.0367849i
\(302\) 2.84792 + 0.299328i 0.163879 + 0.0172244i
\(303\) −14.4108 14.1053i −0.827880 0.810330i
\(304\) −12.2159 + 10.9992i −0.700630 + 0.630850i
\(305\) 0.142320 + 0.438016i 0.00814923 + 0.0250807i
\(306\) 25.4078 + 21.9101i 1.45247 + 1.25252i
\(307\) 31.0795i 1.77380i −0.461960 0.886901i \(-0.652854\pi\)
0.461960 0.886901i \(-0.347146\pi\)
\(308\) 23.9956 7.60085i 1.36728 0.433099i
\(309\) 3.60291 4.54799i 0.204963 0.258726i
\(310\) 6.48118 14.5570i 0.368106 0.826780i
\(311\) 4.24667 + 3.82372i 0.240807 + 0.216823i 0.780693 0.624914i \(-0.214866\pi\)
−0.539886 + 0.841738i \(0.681533\pi\)
\(312\) −37.6754 + 25.0446i −2.13295 + 1.41787i
\(313\) −24.1472 + 10.7510i −1.36488 + 0.607685i −0.952838 0.303479i \(-0.901852\pi\)
−0.412044 + 0.911164i \(0.635185\pi\)
\(314\) 0.186099 + 0.135209i 0.0105021 + 0.00763026i
\(315\) 2.67079 + 5.66865i 0.150482 + 0.319392i
\(316\) −50.0994 + 16.2783i −2.81831 + 0.915725i
\(317\) −1.96901 + 0.206952i −0.110591 + 0.0116236i −0.159662 0.987172i \(-0.551040\pi\)
0.0490713 + 0.998795i \(0.484374\pi\)
\(318\) −0.228646 + 1.55097i −0.0128218 + 0.0869739i
\(319\) −0.0313755 0.321372i −0.00175669 0.0179934i
\(320\) −27.2064 + 15.7076i −1.52089 + 0.878084i
\(321\) −13.8288 8.77139i −0.771851 0.489571i
\(322\) 22.0915 + 4.69570i 1.23111 + 0.261681i
\(323\) 4.94579 + 1.60698i 0.275191 + 0.0894150i
\(324\) 46.6584 + 7.84554i 2.59214 + 0.435864i
\(325\) 5.08570 6.99986i 0.282104 0.388283i
\(326\) 5.28106 + 5.86521i 0.292491 + 0.324844i
\(327\) −4.54256 5.48832i −0.251204 0.303505i
\(328\) −36.6362 16.3115i −2.02290 0.900651i
\(329\) 5.23958 + 9.07523i 0.288868 + 0.500333i
\(330\) −1.24594 22.3562i −0.0685868 1.23067i
\(331\) 2.03858 3.53093i 0.112051 0.194078i −0.804546 0.593890i \(-0.797591\pi\)
0.916597 + 0.399812i \(0.130925\pi\)
\(332\) −25.3667 + 18.4300i −1.39218 + 1.01148i
\(333\) 26.2636 + 14.4221i 1.43924 + 0.790327i
\(334\) 3.70749 11.4105i 0.202865 0.624354i
\(335\) −2.02242 4.54244i −0.110497 0.248180i
\(336\) 8.83140 + 31.6012i 0.481792 + 1.72399i
\(337\) 5.93123 + 27.9042i 0.323095 + 1.52004i 0.777292 + 0.629140i \(0.216593\pi\)
−0.454198 + 0.890901i \(0.650074\pi\)
\(338\) 7.45954 8.28465i 0.405745 0.450626i
\(339\) −34.9960 1.45834i −1.90072 0.0792061i
\(340\) 27.3464 + 15.7885i 1.48307 + 0.856249i
\(341\) 6.69236 + 11.7921i 0.362412 + 0.638580i
\(342\) 9.85507 2.31649i 0.532901 0.125261i
\(343\) −10.1112 13.9169i −0.545954 0.751441i
\(344\) 3.87883 18.2484i 0.209132 0.983890i
\(345\) 6.46804 13.0377i 0.348228 0.701924i
\(346\) −2.94271 + 27.9980i −0.158201 + 1.50518i
\(347\) 1.08070 10.2822i 0.0580151 0.551976i −0.926453 0.376411i \(-0.877158\pi\)
0.984468 0.175565i \(-0.0561753\pi\)
\(348\) 0.884729 0.0558759i 0.0474265 0.00299527i
\(349\) −3.83672 + 18.0504i −0.205375 + 0.966213i 0.747830 + 0.663890i \(0.231096\pi\)
−0.953205 + 0.302324i \(0.902238\pi\)
\(350\) −6.64399 9.14466i −0.355136 0.488803i
\(351\) 15.4130 1.30546i 0.822687 0.0696805i
\(352\) 6.60597 58.6726i 0.352100 3.12726i
\(353\) −11.5976 6.69588i −0.617279 0.356386i 0.158530 0.987354i \(-0.449324\pi\)
−0.775809 + 0.630968i \(0.782658\pi\)
\(354\) 7.56439 11.9259i 0.402043 0.633855i
\(355\) −8.87638 + 9.85822i −0.471109 + 0.523220i
\(356\) 5.59163 + 26.3065i 0.296356 + 1.39424i
\(357\) 7.26094 7.41820i 0.384290 0.392613i
\(358\) −11.0392 24.7945i −0.583440 1.31043i
\(359\) 1.92854 5.93545i 0.101785 0.313261i −0.887178 0.461428i \(-0.847337\pi\)
0.988962 + 0.148167i \(0.0473373\pi\)
\(360\) 38.0768 0.815909i 2.00682 0.0430022i
\(361\) −14.1018 + 10.2456i −0.742202 + 0.539241i
\(362\) 20.8836 36.1715i 1.09762 1.90113i
\(363\) 15.9363 + 10.4419i 0.836439 + 0.548060i
\(364\) 11.2961 + 19.5654i 0.592075 + 1.02550i
\(365\) −9.38285 4.17752i −0.491121 0.218661i
\(366\) 0.517371 1.39219i 0.0270434 0.0727711i
\(367\) −5.15250 5.72243i −0.268958 0.298708i 0.593503 0.804832i \(-0.297745\pi\)
−0.862461 + 0.506124i \(0.831078\pi\)
\(368\) 44.7939 61.6535i 2.33504 3.21391i
\(369\) 8.29544 + 10.9179i 0.431843 + 0.568365i
\(370\) 37.0240 + 12.0298i 1.92479 + 0.625401i
\(371\) 0.474451 + 0.100848i 0.0246323 + 0.00523575i
\(372\) −32.9843 + 17.2539i −1.71016 + 0.894573i
\(373\) 18.2379 10.5296i 0.944321 0.545204i 0.0530086 0.998594i \(-0.483119\pi\)
0.891312 + 0.453390i \(0.149786\pi\)
\(374\) −33.9951 + 14.8352i −1.75784 + 0.767110i
\(375\) −18.4212 + 7.29859i −0.951266 + 0.376897i
\(376\) 63.3416 6.65747i 3.26659 0.343333i
\(377\) 0.275637 0.0895598i 0.0141960 0.00461256i
\(378\) 4.60028 19.6772i 0.236613 1.01209i
\(379\) 24.0003 + 17.4372i 1.23281 + 0.895691i 0.997098 0.0761314i \(-0.0242568\pi\)
0.235715 + 0.971822i \(0.424257\pi\)
\(380\) 8.70449 3.87549i 0.446531 0.198808i
\(381\) 0.0112345 + 0.177885i 0.000575562 + 0.00911333i
\(382\) −7.43682 6.69615i −0.380501 0.342605i
\(383\) 1.08521 2.43741i 0.0554515 0.124546i −0.883695 0.468064i \(-0.844952\pi\)
0.939146 + 0.343518i \(0.111618\pi\)
\(384\) 39.2162 + 5.78132i 2.00124 + 0.295027i
\(385\) −6.92749 0.0512539i −0.353057 0.00261214i
\(386\) 67.1784i 3.41929i
\(387\) −4.16571 + 4.83072i −0.211755 + 0.245559i
\(388\) 9.81361 + 30.2032i 0.498210 + 1.53333i
\(389\) −0.473711 + 0.426531i −0.0240181 + 0.0216260i −0.681052 0.732235i \(-0.738477\pi\)
0.657034 + 0.753861i \(0.271811\pi\)
\(390\) 19.3555 5.40917i 0.980104 0.273904i
\(391\) −23.9768 2.52007i −1.21256 0.127445i
\(392\) −42.1904 + 8.96785i −2.13094 + 0.452945i
\(393\) 24.9466 + 9.27075i 1.25839 + 0.467647i
\(394\) −5.41251 51.4966i −0.272678 2.59436i
\(395\) 14.4984 0.729492
\(396\) −30.1487 + 42.7443i −1.51503 + 2.14798i
\(397\) −25.2145 −1.26548 −0.632741 0.774364i \(-0.718070\pi\)
−0.632741 + 0.774364i \(0.718070\pi\)
\(398\) 7.32485 + 69.6913i 0.367162 + 3.49331i
\(399\) −0.523101 3.08824i −0.0261878 0.154605i
\(400\) −37.3072 + 7.92990i −1.86536 + 0.396495i
\(401\) −29.0104 3.04912i −1.44871 0.152266i −0.652731 0.757590i \(-0.726377\pi\)
−0.795979 + 0.605324i \(0.793044\pi\)
\(402\) −3.98397 + 15.5321i −0.198703 + 0.774668i
\(403\) −9.04396 + 8.14322i −0.450512 + 0.405642i
\(404\) 18.9132 + 58.2088i 0.940966 + 2.89600i
\(405\) −11.5459 6.02193i −0.573721 0.299232i
\(406\) 0.378625i 0.0187908i
\(407\) −26.9422 + 19.2717i −1.33547 + 0.955263i
\(408\) −23.2389 58.6537i −1.15050 2.90379i
\(409\) 6.75518 15.1724i 0.334022 0.750226i −0.665969 0.745979i \(-0.731982\pi\)
0.999991 0.00424629i \(-0.00135164\pi\)
\(410\) 13.2393 + 11.9207i 0.653841 + 0.588721i
\(411\) −5.77737 2.86618i −0.284977 0.141378i
\(412\) −16.0880 + 7.16284i −0.792599 + 0.352888i
\(413\) −3.53499 2.56832i −0.173945 0.126379i
\(414\) −42.4573 + 20.0038i −2.08666 + 0.983136i
\(415\) 8.20739 2.66674i 0.402885 0.130905i
\(416\) 52.7045 5.53947i 2.58405 0.271595i
\(417\) −23.1020 18.3014i −1.13131 0.896224i
\(418\) −2.40791 + 10.9300i −0.117775 + 0.534606i
\(419\) −8.11793 + 4.68689i −0.396587 + 0.228969i −0.685010 0.728534i \(-0.740202\pi\)
0.288423 + 0.957503i \(0.406869\pi\)
\(420\) 0.791877 19.0028i 0.0386396 0.927241i
\(421\) 3.23871 + 0.688408i 0.157845 + 0.0335510i 0.286156 0.958183i \(-0.407622\pi\)
−0.128311 + 0.991734i \(0.540956\pi\)
\(422\) 58.2537 + 18.9278i 2.83575 + 0.921390i
\(423\) −20.0792 8.42914i −0.976282 0.409839i
\(424\) 1.73282 2.38502i 0.0841532 0.115827i
\(425\) 8.07378 + 8.96685i 0.391636 + 0.434956i
\(426\) 42.1783 7.14435i 2.04354 0.346145i
\(427\) −0.419794 0.186904i −0.0203153 0.00904494i
\(428\) 24.8519 + 43.0448i 1.20126 + 2.08065i
\(429\) −6.07543 + 15.9852i −0.293325 + 0.771771i
\(430\) −4.14383 + 7.17732i −0.199833 + 0.346121i
\(431\) −1.72195 + 1.25107i −0.0829434 + 0.0602619i −0.628484 0.777822i \(-0.716324\pi\)
0.545541 + 0.838084i \(0.316324\pi\)
\(432\) −54.3422 41.1862i −2.61454 1.98157i
\(433\) −4.76068 + 14.6519i −0.228784 + 0.704124i 0.769102 + 0.639126i \(0.220704\pi\)
−0.997885 + 0.0649975i \(0.979296\pi\)
\(434\) 6.46661 + 14.5242i 0.310407 + 0.697186i
\(435\) −0.236336 0.0606203i −0.0113315 0.00290652i
\(436\) 4.49579 + 21.1510i 0.215309 + 1.01295i
\(437\) −4.86779 + 5.40623i −0.232858 + 0.258615i
\(438\) 15.3521 + 29.3488i 0.733554 + 1.40234i
\(439\) 31.0083 + 17.9026i 1.47995 + 0.854447i 0.999742 0.0227105i \(-0.00722958\pi\)
0.480203 + 0.877157i \(0.340563\pi\)
\(440\) −17.4098 + 38.3372i −0.829981 + 1.82765i
\(441\) 14.1204 + 4.25579i 0.672399 + 0.202656i
\(442\) −19.5682 26.9333i −0.930764 1.28109i
\(443\) 2.49445 11.7354i 0.118515 0.557568i −0.878321 0.478072i \(-0.841336\pi\)
0.996835 0.0794956i \(-0.0253310\pi\)
\(444\) −50.3448 75.7355i −2.38926 3.59425i
\(445\) 0.773725 7.36150i 0.0366781 0.348968i
\(446\) 6.40567 60.9459i 0.303317 2.88587i
\(447\) 10.9807 + 16.5186i 0.519368 + 0.781305i
\(448\) 6.51692 30.6597i 0.307896 1.44853i
\(449\) 15.0088 + 20.6578i 0.708307 + 0.974901i 0.999832 + 0.0183378i \(0.00583742\pi\)
−0.291525 + 0.956563i \(0.594163\pi\)
\(450\) 22.4903 + 6.77841i 1.06020 + 0.319537i
\(451\) −14.8507 + 3.04196i −0.699292 + 0.143240i
\(452\) 92.0676 + 53.1552i 4.33050 + 2.50021i
\(453\) 0.853399 + 1.63145i 0.0400962 + 0.0766520i
\(454\) 14.6507 16.2712i 0.687589 0.763645i
\(455\) −1.29279 6.08211i −0.0606071 0.285134i
\(456\) −18.4402 4.72991i −0.863541 0.221498i
\(457\) 0.414845 + 0.931757i 0.0194056 + 0.0435857i 0.922988 0.384828i \(-0.125739\pi\)
−0.903583 + 0.428414i \(0.859073\pi\)
\(458\) 11.3160 34.8272i 0.528764 1.62737i
\(459\) −2.68816 + 21.4031i −0.125472 + 0.999010i
\(460\) −35.7370 + 25.9645i −1.66625 + 1.21060i
\(461\) 2.26202 3.91794i 0.105353 0.182477i −0.808529 0.588456i \(-0.799736\pi\)
0.913882 + 0.405979i \(0.133069\pi\)
\(462\) 17.4084 + 14.0018i 0.809910 + 0.651420i
\(463\) 4.22594 + 7.31953i 0.196396 + 0.340168i 0.947357 0.320179i \(-0.103743\pi\)
−0.750961 + 0.660346i \(0.770410\pi\)
\(464\) −1.16713 0.519638i −0.0541825 0.0241236i
\(465\) 10.1013 1.71101i 0.468438 0.0793462i
\(466\) −9.11640 10.1248i −0.422309 0.469022i
\(467\) 3.64591 5.01817i 0.168713 0.232213i −0.716286 0.697807i \(-0.754159\pi\)
0.884998 + 0.465594i \(0.154159\pi\)
\(468\) −43.2889 18.1725i −2.00103 0.840023i
\(469\) 4.71832 + 1.53308i 0.217872 + 0.0707909i
\(470\) −27.6751 5.88252i −1.27656 0.271340i
\(471\) −0.00615786 + 0.147771i −0.000283739 + 0.00680893i
\(472\) −22.9990 + 13.2785i −1.05861 + 0.611191i
\(473\) −2.82057 6.46338i −0.129690 0.297187i
\(474\) −36.6483 29.0328i −1.68331 1.33352i
\(475\) 3.62096 0.380578i 0.166141 0.0174621i
\(476\) −29.9639 + 9.73586i −1.37339 + 0.446242i
\(477\) −0.911841 + 0.429615i −0.0417503 + 0.0196707i
\(478\) −43.9497 31.9314i −2.01021 1.46051i
\(479\) −20.3778 + 9.07278i −0.931085 + 0.414546i −0.815504 0.578752i \(-0.803540\pi\)
−0.115582 + 0.993298i \(0.536873\pi\)
\(480\) −39.9659 19.8273i −1.82419 0.904987i
\(481\) −22.0950 19.8945i −1.00745 0.907109i
\(482\) −31.0096 + 69.6487i −1.41245 + 3.17241i
\(483\) 5.34885 + 13.5002i 0.243381 + 0.614279i
\(484\) −28.1696 50.5025i −1.28044 2.29557i
\(485\) 8.74055i 0.396888i
\(486\) 17.1264 + 38.3425i 0.776871 + 1.73925i
\(487\) 10.5290 + 32.4051i 0.477117 + 1.46841i 0.843082 + 0.537786i \(0.180739\pi\)
−0.365965 + 0.930629i \(0.619261\pi\)
\(488\) −2.07552 + 1.86881i −0.0939545 + 0.0845970i
\(489\) −1.26079 + 4.91535i −0.0570148 + 0.222280i
\(490\) 19.0561 + 2.00288i 0.860867 + 0.0904807i
\(491\) 18.4134 3.91389i 0.830985 0.176631i 0.227270 0.973832i \(-0.427020\pi\)
0.603715 + 0.797201i \(0.293687\pi\)
\(492\) −6.95040 41.0333i −0.313348 1.84992i
\(493\) 0.0422474 + 0.401957i 0.00190273 + 0.0181032i
\(494\) −10.0456 −0.451972
\(495\) 11.5271 8.62448i 0.518102 0.387642i
\(496\) 53.6466 2.40880
\(497\) −1.38351 13.1632i −0.0620588 0.590450i
\(498\) −26.0864 9.69431i −1.16896 0.434412i
\(499\) −7.43187 + 1.57969i −0.332696 + 0.0707167i −0.371231 0.928541i \(-0.621064\pi\)
0.0385350 + 0.999257i \(0.487731\pi\)
\(500\) 59.8103 + 6.28632i 2.67480 + 0.281133i
\(501\) 7.42931 2.07623i 0.331917 0.0927590i
\(502\) 46.8231 42.1597i 2.08982 1.88168i
\(503\) −8.18033 25.1765i −0.364743 1.12256i −0.950142 0.311818i \(-0.899062\pi\)
0.585399 0.810745i \(-0.300938\pi\)
\(504\) −24.8161 + 28.7777i −1.10540 + 1.28186i
\(505\) 16.8451i 0.749599i
\(506\) 0.383884 51.8858i 0.0170657 2.30661i
\(507\) 7.09109 + 1.04538i 0.314926 + 0.0464269i
\(508\) 0.220039 0.494215i 0.00976264 0.0219272i
\(509\) −9.47468 8.53104i −0.419958 0.378132i 0.431885 0.901929i \(-0.357849\pi\)
−0.851843 + 0.523797i \(0.824515\pi\)
\(510\) 1.76652 + 27.9707i 0.0782228 + 1.23856i
\(511\) 9.36176 4.16812i 0.414140 0.184387i
\(512\) −2.69612 1.95884i −0.119153 0.0865695i
\(513\) 4.74811 + 4.45234i 0.209634 + 0.196575i
\(514\) 1.06700 0.346689i 0.0470633 0.0152918i
\(515\) 4.82035 0.506640i 0.212410 0.0223252i
\(516\) 17.9994 7.13146i 0.792378 0.313945i
\(517\) 18.0099 15.9765i 0.792075 0.702646i
\(518\) −33.6380 + 19.4209i −1.47797 + 0.853305i
\(519\) −16.0388 + 8.38979i −0.704025 + 0.368271i
\(520\) −36.9660 7.85736i −1.62106 0.344568i
\(521\) −6.80629 2.21150i −0.298189 0.0968875i 0.156102 0.987741i \(-0.450107\pi\)
−0.454291 + 0.890854i \(0.650107\pi\)
\(522\) 0.476010 + 0.626494i 0.0208344 + 0.0274209i
\(523\) 18.1933 25.0410i 0.795539 1.09497i −0.197857 0.980231i \(-0.563398\pi\)
0.993396 0.114734i \(-0.0366017\pi\)
\(524\) −54.0500 60.0286i −2.36118 2.62236i
\(525\) 2.53164 6.81239i 0.110490 0.297317i
\(526\) 69.1972 + 30.8086i 3.01714 + 1.34332i
\(527\) −8.48573 14.6977i −0.369644 0.640243i
\(528\) 67.0528 34.4455i 2.91810 1.49905i
\(529\) 5.36315 9.28924i 0.233180 0.403880i
\(530\) −1.05950 + 0.769775i −0.0460219 + 0.0334369i
\(531\) 9.07810 0.194525i 0.393956 0.00844168i
\(532\) −2.93777 + 9.04152i −0.127368 + 0.392000i
\(533\) −5.53411 12.4298i −0.239709 0.538395i
\(534\) −16.6971 + 17.0587i −0.722553 + 0.738202i
\(535\) −2.84421 13.3809i −0.122966 0.578508i
\(536\) 20.1762 22.4080i 0.871480 0.967876i
\(537\) 9.34684 14.7361i 0.403346 0.635909i
\(538\) −31.6392 18.2669i −1.36406 0.787541i
\(539\) −10.9990 + 12.0354i −0.473762 + 0.518401i
\(540\) 22.5802 + 32.4386i 0.971695 + 1.39594i
\(541\) 25.5272 + 35.1352i 1.09750 + 1.51058i 0.838656 + 0.544661i \(0.183342\pi\)
0.258845 + 0.965919i \(0.416658\pi\)
\(542\) −6.24030 + 29.3583i −0.268044 + 1.26105i
\(543\) 26.8010 1.69265i 1.15014 0.0726384i
\(544\) −7.72506 + 73.4991i −0.331209 + 3.15125i
\(545\) 0.622091 5.91881i 0.0266475 0.253534i
\(546\) −8.91148 + 17.9629i −0.381376 + 0.768741i
\(547\) −1.55388 + 7.31045i −0.0664392 + 0.312572i −0.998801 0.0489546i \(-0.984411\pi\)
0.932362 + 0.361527i \(0.117744\pi\)
\(548\) 11.5056 + 15.8361i 0.491496 + 0.676487i
\(549\) 0.929593 0.218506i 0.0396741 0.00932560i
\(550\) −17.5187 + 19.1694i −0.747001 + 0.817386i
\(551\) 0.105618 + 0.0609787i 0.00449949 + 0.00259778i
\(552\) 88.1805 + 3.67462i 3.75321 + 0.156402i
\(553\) −9.67948 + 10.7502i −0.411613 + 0.457143i
\(554\) −5.48008 25.7818i −0.232826 1.09536i
\(555\) 6.73681 + 24.1062i 0.285962 + 1.02325i
\(556\) 36.3845 + 81.7209i 1.54305 + 3.46574i
\(557\) −8.26967 + 25.4514i −0.350397 + 1.07841i 0.608233 + 0.793758i \(0.291879\pi\)
−0.958631 + 0.284653i \(0.908121\pi\)
\(558\) −28.9600 15.9028i −1.22597 0.673218i
\(559\) 5.12075 3.72044i 0.216585 0.157358i
\(560\) −13.7049 + 23.7376i −0.579139 + 1.00310i
\(561\) −20.0435 12.9221i −0.846235 0.545573i
\(562\) −16.4124 28.4270i −0.692314 1.19912i
\(563\) −21.3311 9.49724i −0.899000 0.400261i −0.0954063 0.995438i \(-0.530415\pi\)
−0.803594 + 0.595178i \(0.797082\pi\)
\(564\) 42.1432 + 50.9174i 1.77455 + 2.14401i
\(565\) −19.5785 21.7441i −0.823674 0.914782i
\(566\) −24.3742 + 33.5483i −1.02453 + 1.41014i
\(567\) 12.1735 4.54060i 0.511237 0.190687i
\(568\) −76.5070 24.8586i −3.21016 1.04305i
\(569\) 5.31206 + 1.12911i 0.222693 + 0.0473349i 0.317907 0.948122i \(-0.397020\pi\)
−0.0952135 + 0.995457i \(0.530353\pi\)
\(570\) 7.14149 + 4.52972i 0.299124 + 0.189729i
\(571\) 8.79380 5.07710i 0.368009 0.212470i −0.304579 0.952487i \(-0.598516\pi\)
0.672588 + 0.740017i \(0.265183\pi\)
\(572\) 38.8278 34.4439i 1.62347 1.44017i
\(573\) 0.938397 6.36540i 0.0392021 0.265918i
\(574\) −17.6778 + 1.85801i −0.737855 + 0.0775517i
\(575\) −16.0533 + 5.21603i −0.669468 + 0.217523i
\(576\) 27.7623 + 58.9244i 1.15676 + 2.45518i
\(577\) 17.0075 + 12.3566i 0.708029 + 0.514414i 0.882537 0.470242i \(-0.155833\pi\)
−0.174508 + 0.984656i \(0.555833\pi\)
\(578\) 0.575874 0.256396i 0.0239532 0.0106647i
\(579\) 35.9704 23.9111i 1.49488 0.993712i
\(580\) 0.550328 + 0.495518i 0.0228511 + 0.0205753i
\(581\) −3.50215 + 7.86595i −0.145294 + 0.326335i
\(582\) −17.5028 + 22.0940i −0.725515 + 0.915825i
\(583\) 0.00824453 1.11433i 0.000341453 0.0461510i
\(584\) 62.2837i 2.57732i
\(585\) 9.78561 + 8.43850i 0.404585 + 0.348889i
\(586\) −22.6588 69.7367i −0.936028 2.88080i
\(587\) 32.4155 29.1870i 1.33793 1.20468i 0.377550 0.925989i \(-0.376767\pi\)
0.960381 0.278689i \(-0.0898999\pi\)
\(588\) −31.9886 31.3105i −1.31919 1.29122i
\(589\) −5.09304 0.535300i −0.209855 0.0220567i
\(590\) 11.5396 2.45283i 0.475079 0.100981i
\(591\) 25.6471 21.2275i 1.05498 0.873184i
\(592\) 13.6998 + 130.344i 0.563056 + 5.35712i
\(593\) −37.0300 −1.52064 −0.760319 0.649549i \(-0.774958\pi\)
−0.760319 + 0.649549i \(0.774958\pi\)
\(594\) −46.4080 1.28217i −1.90414 0.0526082i
\(595\) 8.67130 0.355489
\(596\) −6.29297 59.8736i −0.257770 2.45252i
\(597\) −34.7087 + 28.7276i −1.42053 + 1.17574i
\(598\) 45.5541 9.68282i 1.86285 0.395960i
\(599\) −23.9622 2.51853i −0.979068 0.102904i −0.398546 0.917148i \(-0.630485\pi\)
−0.580522 + 0.814244i \(0.697152\pi\)
\(600\) −31.5665 30.8973i −1.28870 1.26138i
\(601\) 13.8822 12.4996i 0.566268 0.509870i −0.335529 0.942030i \(-0.608915\pi\)
0.901797 + 0.432160i \(0.142248\pi\)
\(602\) −2.55527 7.86431i −0.104145 0.320525i
\(603\) −9.73460 + 3.39519i −0.396424 + 0.138263i
\(604\) 5.58824i 0.227382i
\(605\) 3.07836 + 15.6152i 0.125153 + 0.634849i
\(606\) −33.7322 + 42.5804i −1.37028 + 1.72971i
\(607\) −10.0075 + 22.4773i −0.406193 + 0.912324i 0.588409 + 0.808563i \(0.299754\pi\)
−0.994602 + 0.103761i \(0.966912\pi\)
\(608\) 16.5724 + 14.9218i 0.672098 + 0.605160i
\(609\) 0.202733 0.134766i 0.00821515 0.00546098i
\(610\) 1.13343 0.504635i 0.0458912 0.0204321i
\(611\) 17.4818 + 12.7013i 0.707238 + 0.513839i
\(612\) 37.3400 53.7803i 1.50938 2.17394i
\(613\) 21.4976 6.98501i 0.868282 0.282122i 0.159199 0.987247i \(-0.449109\pi\)
0.709083 + 0.705125i \(0.249109\pi\)
\(614\) −83.2662 + 8.75163i −3.36035 + 0.353187i
\(615\) −1.67056 + 11.3319i −0.0673636 + 0.456946i
\(616\) −16.8028 38.5038i −0.677004 1.55136i
\(617\) 8.17258 4.71844i 0.329016 0.189957i −0.326388 0.945236i \(-0.605832\pi\)
0.655404 + 0.755278i \(0.272498\pi\)
\(618\) −13.1992 8.37203i −0.530950 0.336772i
\(619\) 13.0960 + 2.78364i 0.526373 + 0.111884i 0.463431 0.886133i \(-0.346618\pi\)
0.0629422 + 0.998017i \(0.479952\pi\)
\(620\) −29.5739 9.60915i −1.18772 0.385913i
\(621\) −25.8230 15.6135i −1.03624 0.626549i
\(622\) 9.04845 12.4541i 0.362810 0.499365i
\(623\) 4.94180 + 5.48842i 0.197989 + 0.219889i
\(624\) 43.1409 + 52.1229i 1.72702 + 2.08659i
\(625\) −1.84495 0.821424i −0.0737980 0.0328570i
\(626\) 35.6031 + 61.6663i 1.42298 + 2.46468i
\(627\) −6.70950 + 2.60108i −0.267951 + 0.103877i
\(628\) 0.224449 0.388757i 0.00895648 0.0155131i
\(629\) 33.5439 24.3710i 1.33748 0.971737i
\(630\) 14.4350 8.75164i 0.575105 0.348674i
\(631\) −3.99811 + 12.3049i −0.159162 + 0.489851i −0.998559 0.0536685i \(-0.982909\pi\)
0.839397 + 0.543519i \(0.182909\pi\)
\(632\) 35.7604 + 80.3191i 1.42247 + 3.19492i
\(633\) 10.5997 + 37.9287i 0.421301 + 1.50753i
\(634\) 1.10890 + 5.21698i 0.0440402 + 0.207193i
\(635\) −0.0996297 + 0.110650i −0.00395369 + 0.00439101i
\(636\) 3.05673 + 0.127379i 0.121207 + 0.00505089i
\(637\) −12.6734 7.31701i −0.502140 0.289911i
\(638\) −0.852164 + 0.174554i −0.0337375 + 0.00691065i
\(639\) 18.8381 + 20.0412i 0.745224 + 0.792819i
\(640\) 19.4638 + 26.7896i 0.769373 + 1.05895i
\(641\) −2.07714 + 9.77218i −0.0820421 + 0.385978i −0.999941 0.0108359i \(-0.996551\pi\)
0.917899 + 0.396814i \(0.129884\pi\)
\(642\) −19.6057 + 39.5192i −0.773774 + 1.55970i
\(643\) 1.32573 12.6135i 0.0522817 0.497428i −0.936779 0.349921i \(-0.886209\pi\)
0.989061 0.147507i \(-0.0471248\pi\)
\(644\) 4.60700 43.8326i 0.181541 1.72725i
\(645\) −5.31799 + 0.335863i −0.209396 + 0.0132246i
\(646\) 2.91265 13.7029i 0.114597 0.539135i
\(647\) −19.3401 26.6193i −0.760337 1.04651i −0.997186 0.0749678i \(-0.976115\pi\)
0.236849 0.971547i \(-0.423885\pi\)
\(648\) 4.88261 78.8161i 0.191807 3.09619i
\(649\) −4.15077 + 9.14018i −0.162932 + 0.358784i
\(650\) −20.1856 11.6542i −0.791746 0.457115i
\(651\) −5.47525 + 8.63219i −0.214592 + 0.338322i
\(652\) 10.3058 11.4458i 0.403608 0.448252i
\(653\) −4.44155 20.8959i −0.173811 0.817718i −0.975504 0.219982i \(-0.929400\pi\)
0.801693 0.597736i \(-0.203933\pi\)
\(654\) −13.4248 + 13.7156i −0.524952 + 0.536321i
\(655\) 9.04253 + 20.3099i 0.353321 + 0.793572i
\(656\) −18.5342 + 57.0424i −0.723639 + 2.22713i
\(657\) −10.2503 + 18.6665i −0.399902 + 0.728249i
\(658\) 22.8383 16.5930i 0.890331 0.646863i
\(659\) 5.34609 9.25969i 0.208254 0.360706i −0.742911 0.669391i \(-0.766555\pi\)
0.951165 + 0.308684i \(0.0998886\pi\)
\(660\) −43.1343 + 6.97841i −1.67900 + 0.271634i
\(661\) −14.6301 25.3401i −0.569045 0.985615i −0.996661 0.0816544i \(-0.973980\pi\)
0.427616 0.903961i \(-0.359354\pi\)
\(662\) −10.0339 4.46737i −0.389978 0.173629i
\(663\) 7.45631 20.0642i 0.289579 0.779228i
\(664\) 35.0171 + 38.8904i 1.35893 + 1.50924i
\(665\) 1.53796 2.11683i 0.0596397 0.0820870i
\(666\) 31.2432 74.4248i 1.21065 2.88390i
\(667\) −0.537728 0.174718i −0.0208209 0.00676512i
\(668\) −22.9015 4.86786i −0.886086 0.188343i
\(669\) 34.9132 18.2629i 1.34982 0.706083i
\(670\) −11.6003 + 6.69744i −0.448159 + 0.258745i
\(671\) −0.227129 + 1.03099i −0.00876822 + 0.0398010i
\(672\) 41.3837 16.3965i 1.59641 0.632508i
\(673\) 41.5078 4.36264i 1.60001 0.168168i 0.737906 0.674904i \(-0.235815\pi\)
0.862101 + 0.506736i \(0.169148\pi\)
\(674\) 73.0890 23.7481i 2.81528 0.914741i
\(675\) 4.37559 + 14.4550i 0.168417 + 0.556372i
\(676\) −17.6003 12.7874i −0.676935 0.491822i
\(677\) −27.1757 + 12.0994i −1.04445 + 0.465017i −0.855951 0.517057i \(-0.827028\pi\)
−0.188495 + 0.982074i \(0.560361\pi\)
\(678\) 5.94737 + 94.1695i 0.228407 + 3.61656i
\(679\) 6.48089 + 5.83542i 0.248714 + 0.223943i
\(680\) 21.4361 48.1462i 0.822036 1.84632i
\(681\) 13.9270 + 2.05314i 0.533684 + 0.0786766i
\(682\) 29.7082 21.2503i 1.13759 0.813714i
\(683\) 27.9122i 1.06803i 0.845475 + 0.534015i \(0.179317\pi\)
−0.845475 + 0.534015i \(0.820683\pi\)
\(684\) −6.50607 18.6540i −0.248766 0.713254i
\(685\) −1.66482 5.12378i −0.0636094 0.195770i
\(686\) −34.4380 + 31.0081i −1.31485 + 1.18390i
\(687\) 22.6758 6.33708i 0.865137 0.241775i
\(688\) −27.7490 2.91654i −1.05792 0.111192i
\(689\) 0.978349 0.207954i 0.0372721 0.00792243i
\(690\) −36.7509 13.6575i −1.39908 0.519932i
\(691\) −0.134166 1.27650i −0.00510390 0.0485604i 0.991674 0.128777i \(-0.0411053\pi\)
−0.996777 + 0.0802171i \(0.974439\pi\)
\(692\) 54.9382 2.08844
\(693\) −1.30093 + 14.3049i −0.0494184 + 0.543400i
\(694\) −27.8516 −1.05723
\(695\) −2.57353 24.4855i −0.0976197 0.928790i
\(696\) −0.247098 1.45880i −0.00936621 0.0552955i
\(697\) 18.5598 3.94501i 0.703003 0.149428i
\(698\) 49.4397 + 5.19632i 1.87132 + 0.196684i
\(699\) 2.17643 8.48509i 0.0823201 0.320936i
\(700\) −16.3925 + 14.7599i −0.619579 + 0.557871i
\(701\) 9.82030 + 30.2238i 0.370908 + 1.14154i 0.946198 + 0.323588i \(0.104889\pi\)
−0.575290 + 0.817949i \(0.695111\pi\)
\(702\) −7.83764 40.9260i −0.295813 1.54465i
\(703\) 12.5112i 0.471869i
\(704\) −72.0097 0.532773i −2.71397 0.0200796i
\(705\) −6.70075 16.9123i −0.252365 0.636954i
\(706\) −14.6734 + 32.9570i −0.552241 + 1.24035i
\(707\) 12.4902 + 11.2463i 0.469744 + 0.422959i
\(708\) −24.6886 12.2481i −0.927853 0.460313i
\(709\) 0.437717 0.194884i 0.0164388 0.00731903i −0.398501 0.917168i \(-0.630469\pi\)
0.414940 + 0.909849i \(0.363803\pi\)
\(710\) 28.9110 + 21.0050i 1.08501 + 0.788305i
\(711\) 2.50105 29.9569i 0.0937967 1.12347i
\(712\) 42.6902 13.8709i 1.59988 0.519833i
\(713\) 23.6116 2.48168i 0.884260 0.0929395i
\(714\) −21.9189 17.3642i −0.820296 0.649837i
\(715\) −13.0929 + 5.71365i −0.489647 + 0.213678i
\(716\) −45.8688 + 26.4823i −1.71420 + 0.989692i
\(717\) 1.45426 34.8982i 0.0543104 1.30330i
\(718\) −16.4449 3.49548i −0.613719 0.130450i
\(719\) −22.0526 7.16534i −0.822425 0.267222i −0.132574 0.991173i \(-0.542324\pi\)
−0.689851 + 0.723951i \(0.742324\pi\)
\(720\) −7.16617 56.5076i −0.267067 2.10591i
\(721\) −2.84253 + 3.91241i −0.105862 + 0.145706i
\(722\) 31.4202 + 34.8957i 1.16934 + 1.29868i
\(723\) −48.3305 + 8.18644i −1.79743 + 0.304457i
\(724\) −74.4608 33.1521i −2.76731 1.23209i
\(725\) 0.141487 + 0.245062i 0.00525468 + 0.00910137i
\(726\) 23.4879 45.6358i 0.871718 1.69370i
\(727\) −19.7219 + 34.1593i −0.731444 + 1.26690i 0.224822 + 0.974400i \(0.427820\pi\)
−0.956266 + 0.292498i \(0.905513\pi\)
\(728\) 30.5055 22.1635i 1.13061 0.821435i
\(729\) −14.4344 + 22.8177i −0.534608 + 0.845100i
\(730\) −8.55002 + 26.3143i −0.316450 + 0.973934i
\(731\) 3.59024 + 8.06381i 0.132790 + 0.298251i
\(732\) −2.80748 0.720118i −0.103767 0.0266163i
\(733\) −2.03269 9.56304i −0.0750790 0.353219i 0.924532 0.381104i \(-0.124456\pi\)
−0.999611 + 0.0278852i \(0.991123\pi\)
\(734\) −13.8803 + 15.4156i −0.512330 + 0.569000i
\(735\) 5.71029 + 10.9164i 0.210627 + 0.402657i
\(736\) −89.5343 51.6927i −3.30028 1.90542i
\(737\) 1.27523 11.3262i 0.0469735 0.417207i
\(738\) 26.9147 25.2990i 0.990744 0.931268i
\(739\) −14.0478 19.3351i −0.516757 0.711255i 0.468284 0.883578i \(-0.344873\pi\)
−0.985040 + 0.172324i \(0.944873\pi\)
\(740\) 15.7949 74.3093i 0.580633 2.73167i
\(741\) −3.57557 5.37886i −0.131352 0.197597i
\(742\) 0.136585 1.29952i 0.00501418 0.0477067i
\(743\) −3.84917 + 36.6224i −0.141212 + 1.34355i 0.662738 + 0.748851i \(0.269394\pi\)
−0.803951 + 0.594696i \(0.797273\pi\)
\(744\) 34.3939 + 51.7399i 1.26094 + 1.89688i
\(745\) −3.44503 + 16.2076i −0.126216 + 0.593799i
\(746\) −33.3459 45.8967i −1.22088 1.68040i
\(747\) −4.09428 17.4184i −0.149802 0.637305i
\(748\) 35.7263 + 62.9508i 1.30628 + 2.30171i
\(749\) 11.8205 + 6.82456i 0.431911 + 0.249364i
\(750\) 24.7411 + 47.2976i 0.903417 + 1.72707i
\(751\) −20.5430 + 22.8153i −0.749625 + 0.832543i −0.990428 0.138031i \(-0.955923\pi\)
0.240803 + 0.970574i \(0.422589\pi\)
\(752\) −19.8045 93.1730i −0.722197 3.39767i
\(753\) 39.2402 + 10.0651i 1.42999 + 0.366793i
\(754\) −0.317559 0.713249i −0.0115648 0.0259750i
\(755\) −0.475281 + 1.46276i −0.0172972 + 0.0532354i
\(756\) −39.1275 4.91429i −1.42305 0.178731i
\(757\) −34.5971 + 25.1362i −1.25745 + 0.913592i −0.998630 0.0523331i \(-0.983334\pi\)
−0.258822 + 0.965925i \(0.583334\pi\)
\(758\) 39.9585 69.2101i 1.45136 2.51383i
\(759\) 27.9187 18.2624i 1.01338 0.662884i
\(760\) −7.95143 13.7723i −0.288429 0.499573i
\(761\) 24.6757 + 10.9863i 0.894493 + 0.398254i 0.801906 0.597451i \(-0.203820\pi\)
0.0925874 + 0.995705i \(0.470486\pi\)
\(762\) 0.473415 0.0801892i 0.0171500 0.00290495i
\(763\) 3.97331 + 4.41281i 0.143844 + 0.159755i
\(764\) −11.4788 + 15.7991i −0.415287 + 0.571593i
\(765\) −14.3480 + 10.9016i −0.518754 + 0.394149i
\(766\) −6.83574 2.22107i −0.246985 0.0802504i
\(767\) −8.81326 1.87332i −0.318228 0.0676415i
\(768\) 1.31453 31.5449i 0.0474340 1.13828i
\(769\) −41.9099 + 24.1967i −1.51131 + 0.872555i −0.511396 + 0.859345i \(0.670871\pi\)
−0.999913 + 0.0132095i \(0.995795\pi\)
\(770\) 1.81338 + 18.5741i 0.0653498 + 0.669364i
\(771\) 0.565415 + 0.447921i 0.0203629 + 0.0161315i
\(772\) −130.379 + 13.7033i −4.69242 + 0.493194i
\(773\) −33.6456 + 10.9321i −1.21015 + 0.393201i −0.843485 0.537152i \(-0.819500\pi\)
−0.366664 + 0.930354i \(0.619500\pi\)
\(774\) 14.1152 + 9.80023i 0.507359 + 0.352262i
\(775\) −9.61296 6.98422i −0.345308 0.250881i
\(776\) 48.4216 21.5587i 1.73823 0.773911i
\(777\) −22.3718 11.0987i −0.802582 0.398165i
\(778\) 1.27613 + 1.14903i 0.0457513 + 0.0411947i
\(779\) 2.32876 5.23049i 0.0834366 0.187402i
\(780\) −14.4462 36.4614i −0.517258 1.30553i
\(781\) −28.9884 + 9.18235i −1.03729 + 0.328570i
\(782\) 64.9467i 2.32249i
\(783\) −0.166025 + 0.477868i −0.00593325 + 0.0170776i
\(784\) 19.9344 + 61.3518i 0.711943 + 2.19113i
\(785\) −0.0918149 + 0.0826705i −0.00327701 + 0.00295064i
\(786\) 17.8129 69.4459i 0.635365 2.47705i
\(787\) −25.6484 2.69576i −0.914267 0.0960933i −0.364302 0.931281i \(-0.618692\pi\)
−0.549965 + 0.835188i \(0.685359\pi\)
\(788\) −98.8396 + 21.0090i −3.52101 + 0.748415i
\(789\) 8.13336 + 48.0171i 0.289555 + 1.70945i
\(790\) −4.08257 38.8430i −0.145251 1.38197i
\(791\) 29.1938 1.03801
\(792\) 76.2102 + 42.5861i 2.70801 + 1.51323i
\(793\) −0.947564 −0.0336490
\(794\) 7.10012 + 67.5531i 0.251974 + 2.39737i
\(795\) −0.789287 0.293317i −0.0279931 0.0104029i
\(796\) 133.761 28.4319i 4.74105 1.00774i
\(797\) 16.9653 + 1.78313i 0.600943 + 0.0631617i 0.400115 0.916465i \(-0.368970\pi\)
0.200828 + 0.979627i \(0.435637\pi\)
\(798\) −8.12651 + 2.27107i −0.287676 + 0.0803950i
\(799\) −22.3943 + 20.1639i −0.792252 + 0.713347i
\(800\) 15.9893 + 49.2101i 0.565308 + 1.73984i
\(801\) −15.0771 2.86859i −0.532722 0.101357i
\(802\) 78.5813i 2.77480i
\(803\) −13.6971 19.1488i −0.483360 0.675745i
\(804\) 30.9570 + 4.56372i 1.09177 + 0.160950i
\(805\) −4.93388 + 11.0817i −0.173897 + 0.390578i
\(806\) 24.3634 + 21.9369i 0.858165 + 0.772696i
\(807\) −1.48056 23.4429i −0.0521181 0.825227i
\(808\) 93.3200 41.5487i 3.28299 1.46168i
\(809\) −38.7684 28.1669i −1.36302 0.990295i −0.998246 0.0592001i \(-0.981145\pi\)
−0.364778 0.931095i \(-0.618855\pi\)
\(810\) −12.8824 + 32.6288i −0.452640 + 1.14646i
\(811\) 45.0299 14.6311i 1.58121 0.513768i 0.618845 0.785513i \(-0.287601\pi\)
0.962369 + 0.271745i \(0.0876009\pi\)
\(812\) −0.734827 + 0.0772334i −0.0257874 + 0.00271036i
\(813\) −17.9409 + 7.10830i −0.629215 + 0.249299i
\(814\) 59.2181 + 66.7550i 2.07559 + 2.33976i
\(815\) −3.67109 + 2.11951i −0.128593 + 0.0742430i
\(816\) −83.6081 + 43.7348i −2.92687 + 1.53103i
\(817\) 2.60530 + 0.553774i 0.0911480 + 0.0193741i
\(818\) −42.5510 13.8257i −1.48776 0.483403i
\(819\) −12.7901 + 1.62201i −0.446921 + 0.0566775i
\(820\) 20.4348 28.1261i 0.713615 0.982207i
\(821\) −11.7622 13.0632i −0.410503 0.455910i 0.502068 0.864828i \(-0.332573\pi\)
−0.912571 + 0.408918i \(0.865906\pi\)
\(822\) −6.05204 + 16.2854i −0.211089 + 0.568020i
\(823\) 26.1285 + 11.6332i 0.910784 + 0.405507i 0.807990 0.589196i \(-0.200555\pi\)
0.102793 + 0.994703i \(0.467222\pi\)
\(824\) 14.6962 + 25.4545i 0.511966 + 0.886751i
\(825\) −16.4997 2.55727i −0.574445 0.0890328i
\(826\) −5.88546 + 10.1939i −0.204781 + 0.354691i
\(827\) −13.0031 + 9.44733i −0.452163 + 0.328516i −0.790449 0.612527i \(-0.790153\pi\)
0.338286 + 0.941043i \(0.390153\pi\)
\(828\) 47.4837 + 78.3199i 1.65017 + 2.72181i
\(829\) 0.324003 0.997179i 0.0112531 0.0346335i −0.945272 0.326282i \(-0.894204\pi\)
0.956525 + 0.291649i \(0.0942039\pi\)
\(830\) −9.45567 21.2378i −0.328211 0.737174i
\(831\) 11.8542 12.1109i 0.411217 0.420123i
\(832\) −13.4383 63.2222i −0.465889 2.19184i
\(833\) 13.6555 15.1660i 0.473137 0.525471i
\(834\) −42.5267 + 67.0469i −1.47258 + 2.32165i
\(835\) 5.58062 + 3.22197i 0.193125 + 0.111501i
\(836\) 21.7040 + 2.44366i 0.750648 + 0.0845158i
\(837\) −1.79280 21.1668i −0.0619683 0.731633i
\(838\) 14.8427 + 20.4292i 0.512733 + 0.705716i
\(839\) 4.36460 20.5338i 0.150683 0.708907i −0.836325 0.548234i \(-0.815300\pi\)
0.987008 0.160673i \(-0.0513664\pi\)
\(840\) −31.6805 + 2.00081i −1.09308 + 0.0690346i
\(841\) 3.03033 28.8317i 0.104494 0.994197i
\(842\) 0.932356 8.87077i 0.0321311 0.305707i
\(843\) 9.37940 18.9061i 0.323044 0.651160i
\(844\) 24.8518 116.919i 0.855435 4.02451i
\(845\) 3.51944 + 4.84410i 0.121073 + 0.166642i
\(846\) −16.9287 + 56.1683i −0.582022 + 1.93111i
\(847\) −13.6335 8.14260i −0.468451 0.279783i
\(848\) −3.81836 2.20453i −0.131123 0.0757039i
\(849\) −26.6389 1.11009i −0.914244 0.0380980i
\(850\) 21.7499 24.1557i 0.746015 0.828534i
\(851\) 12.0594 + 56.7350i 0.413391 + 1.94485i
\(852\) −22.4693 80.4014i −0.769786 2.75451i
\(853\) −2.15268 4.83501i −0.0737065 0.165547i 0.872935 0.487837i \(-0.162214\pi\)
−0.946641 + 0.322290i \(0.895547\pi\)
\(854\) −0.382533 + 1.17732i −0.0130900 + 0.0402869i
\(855\) 0.116486 + 5.43616i 0.00398374 + 0.185913i
\(856\) 67.1135 48.7608i 2.29389 1.66661i
\(857\) −3.88021 + 6.72072i −0.132545 + 0.229575i −0.924657 0.380801i \(-0.875648\pi\)
0.792112 + 0.610376i \(0.208982\pi\)
\(858\) 44.5372 + 11.7757i 1.52047 + 0.402014i
\(859\) 24.3358 + 42.1508i 0.830326 + 1.43817i 0.897780 + 0.440445i \(0.145179\pi\)
−0.0674537 + 0.997722i \(0.521488\pi\)
\(860\) 14.7749 + 6.57820i 0.503819 + 0.224315i
\(861\) −7.28698 8.80414i −0.248340 0.300044i
\(862\) 3.83666 + 4.26105i 0.130677 + 0.145132i
\(863\) 8.87079 12.2096i 0.301965 0.415619i −0.630889 0.775873i \(-0.717310\pi\)
0.932854 + 0.360253i \(0.117310\pi\)
\(864\) −47.8620 + 79.1584i −1.62830 + 2.69302i
\(865\) −14.3805 4.67250i −0.488951 0.158870i
\(866\) 40.5949 + 8.62871i 1.37947 + 0.293215i
\(867\) 0.342259 + 0.217089i 0.0116237 + 0.00737273i
\(868\) 26.8693 15.5130i 0.912002 0.526545i
\(869\) 28.6576 + 16.8294i 0.972144 + 0.570899i
\(870\) −0.0958604 + 0.650247i −0.00324997 + 0.0220454i
\(871\) 10.1741 1.06934i 0.344737 0.0362334i
\(872\) 34.3238 11.1525i 1.16235 0.377671i
\(873\) −18.0600 1.50780i −0.611238 0.0510311i
\(874\) 15.8547 + 11.5191i 0.536294 + 0.389640i
\(875\) 15.0871 6.71723i 0.510038 0.227084i
\(876\) 53.8279 35.7818i 1.81868 1.20896i
\(877\) −16.4615 14.8220i −0.555866 0.500504i 0.342639 0.939467i \(-0.388679\pi\)
−0.898505 + 0.438963i \(0.855346\pi\)
\(878\) 39.2320 88.1166i 1.32402 2.97379i
\(879\) 29.2752 36.9543i 0.987426 1.24644i
\(880\) 59.7442 + 19.9019i 2.01398 + 0.670894i
\(881\) 18.8235i 0.634180i −0.948395 0.317090i \(-0.897294\pi\)
0.948395 0.317090i \(-0.102706\pi\)
\(882\) 7.42569 39.0288i 0.250036 1.31417i
\(883\) −11.7223 36.0776i −0.394488 1.21411i −0.929360 0.369175i \(-0.879640\pi\)
0.534872 0.844933i \(-0.320360\pi\)
\(884\) −48.2800 + 43.4715i −1.62383 + 1.46211i
\(885\) 5.42071 + 5.30580i 0.182215 + 0.178353i
\(886\) −32.1432 3.37839i −1.07987 0.113499i
\(887\) −28.4769 + 6.05295i −0.956161 + 0.203238i −0.659466 0.751734i \(-0.729218\pi\)
−0.296694 + 0.954972i \(0.595884\pi\)
\(888\) −116.929 + 96.7792i −3.92387 + 3.24770i
\(889\) −0.0155287 0.147746i −0.000520816 0.00495523i
\(890\) −19.9403 −0.668401
\(891\) −15.8317 25.3053i −0.530381 0.847760i
\(892\) −119.589 −4.00414
\(893\) 0.950476 + 9.04317i 0.0318065 + 0.302618i
\(894\) 41.1636 34.0702i 1.37672 1.13948i
\(895\) 14.2588 3.03080i 0.476619 0.101309i
\(896\) −32.8583 3.45355i −1.09772 0.115375i
\(897\) 21.3989 + 20.9453i 0.714489 + 0.699343i
\(898\) 51.1187 46.0275i 1.70585 1.53596i
\(899\) −0.122993 0.378534i −0.00410205 0.0126248i
\(900\) 8.56775 45.0313i 0.285592 1.50104i
\(901\) 1.39484i 0.0464688i
\(902\) 12.3316 + 38.9305i 0.410597 + 1.29624i
\(903\) 3.30140 4.16738i 0.109864 0.138682i
\(904\) 72.1692 162.095i 2.40031 5.39119i
\(905\) 16.6711 + 15.0107i 0.554165 + 0.498972i
\(906\) 4.13055 2.74577i 0.137228 0.0912219i
\(907\) −16.9502 + 7.54671i −0.562822 + 0.250584i −0.668369 0.743830i \(-0.733007\pi\)
0.105547 + 0.994414i \(0.466341\pi\)
\(908\) −34.5673 25.1146i −1.14716 0.833458i
\(909\) −34.8059 2.90588i −1.15444 0.0963821i
\(910\) −15.9308 + 5.17622i −0.528100 + 0.171590i
\(911\) 33.0374 3.47238i 1.09458 0.115045i 0.460012 0.887913i \(-0.347845\pi\)
0.634567 + 0.772868i \(0.281178\pi\)
\(912\) −4.15245 + 28.1672i −0.137501 + 0.932710i
\(913\) 19.3183 + 4.25586i 0.639344 + 0.140848i
\(914\) 2.37949 1.37380i 0.0787064 0.0454411i
\(915\) 0.673631 + 0.427272i 0.0222696 + 0.0141252i
\(916\) −69.9002 14.8578i −2.30957 0.490914i
\(917\) −21.0963 6.85459i −0.696660 0.226359i
\(918\) 58.0987 + 1.17508i 1.91754 + 0.0387834i
\(919\) −10.8277 + 14.9031i −0.357173 + 0.491606i −0.949358 0.314195i \(-0.898265\pi\)
0.592185 + 0.805802i \(0.298265\pi\)
\(920\) 49.3326 + 54.7894i 1.62645 + 1.80635i
\(921\) −34.3233 41.4695i −1.13099 1.36647i
\(922\) −11.1336 4.95702i −0.366667 0.163251i
\(923\) −13.6464 23.6363i −0.449178 0.777999i
\(924\) 23.6233 36.6419i 0.777149 1.20543i
\(925\) 14.5146 25.1401i 0.477238 0.826600i
\(926\) 18.4200 13.3829i 0.605320 0.439791i
\(927\) −0.215295 10.0474i −0.00707120 0.329998i
\(928\) −0.535586 + 1.64836i −0.0175815 + 0.0541102i
\(929\) 11.9113 + 26.7533i 0.390798 + 0.877747i 0.996620 + 0.0821472i \(0.0261777\pi\)
−0.605822 + 0.795600i \(0.707156\pi\)
\(930\) −7.42845 26.5810i −0.243588 0.871626i
\(931\) −1.28033 6.02346i −0.0419610 0.197411i
\(932\) −17.7904 + 19.7582i −0.582743 + 0.647202i
\(933\) 9.88916 + 0.412097i 0.323756 + 0.0134915i
\(934\) −14.4710 8.35483i −0.473505 0.273378i
\(935\) −3.99765 19.5164i −0.130737 0.638253i
\(936\) −22.6119 + 75.0247i −0.739095 + 2.45226i
\(937\) −9.28756 12.7832i −0.303411 0.417610i 0.629901 0.776675i \(-0.283095\pi\)
−0.933312 + 0.359066i \(0.883095\pi\)
\(938\) 2.77869 13.0727i 0.0907275 0.426839i
\(939\) −20.3466 + 41.0127i −0.663985 + 1.33840i
\(940\) −5.77140 + 54.9112i −0.188242 + 1.79101i
\(941\) −0.865821 + 8.23774i −0.0282250 + 0.268543i 0.971304 + 0.237843i \(0.0764403\pi\)
−0.999529 + 0.0306999i \(0.990226\pi\)
\(942\) 0.397632 0.0251129i 0.0129556 0.000818221i
\(943\) −5.51873 + 25.9636i −0.179715 + 0.845490i
\(944\) 23.3457 + 32.1326i 0.759839 + 1.04583i
\(945\) 9.82395 + 4.61415i 0.319573 + 0.150098i
\(946\) −16.5220 + 9.37671i −0.537178 + 0.304863i
\(947\) −4.25424 2.45619i −0.138244 0.0798154i 0.429283 0.903170i \(-0.358766\pi\)
−0.567527 + 0.823355i \(0.692100\pi\)
\(948\) −48.8705 + 77.0485i −1.58724 + 2.50242i
\(949\) 14.1397 15.7037i 0.458994 0.509764i
\(950\) −2.03924 9.59388i −0.0661617 0.311266i
\(951\) −2.39871 + 2.45066i −0.0777835 + 0.0794681i
\(952\) 21.3879 + 48.0379i 0.693185 + 1.55692i
\(953\) 1.81366 5.58186i 0.0587501 0.180814i −0.917375 0.398025i \(-0.869696\pi\)
0.976125 + 0.217211i \(0.0696958\pi\)
\(954\) 1.40776 + 2.32197i 0.0455779 + 0.0751765i
\(955\) 4.34837 3.15927i 0.140710 0.102232i
\(956\) −53.0067 + 91.8103i −1.71436 + 2.96936i
\(957\) −0.396779 0.394158i −0.0128260 0.0127413i
\(958\) 30.0453 + 52.0401i 0.970721 + 1.68134i
\(959\) 4.91062 + 2.18635i 0.158572 + 0.0706009i
\(960\) −18.9545 + 51.0048i −0.611755 + 1.64617i
\(961\) −9.55992 10.6174i −0.308384 0.342496i
\(962\) −47.0782 + 64.7976i −1.51786 + 2.08916i
\(963\) −28.1387 + 3.56849i −0.906758 + 0.114993i
\(964\) 141.498 + 45.9756i 4.55735 + 1.48077i
\(965\) 35.2930 + 7.50176i 1.13612 + 0.241490i
\(966\) 34.6626 18.1318i 1.11525 0.583380i
\(967\) −15.1909 + 8.77049i −0.488507 + 0.282040i −0.723955 0.689847i \(-0.757678\pi\)
0.235448 + 0.971887i \(0.424344\pi\)
\(968\) −78.9135 + 55.5688i −2.53638 + 1.78605i
\(969\) 8.37389 3.31779i 0.269008 0.106583i
\(970\) −23.4171 + 2.46124i −0.751878 + 0.0790255i
\(971\) 46.6836 15.1684i 1.49815 0.486778i 0.558672 0.829389i \(-0.311311\pi\)
0.939478 + 0.342610i \(0.111311\pi\)
\(972\) 70.9209 41.0599i 2.27479 1.31700i
\(973\) 19.8735 + 14.4390i 0.637117 + 0.462892i
\(974\) 83.8527 37.3336i 2.68681 1.19625i
\(975\) −0.944589 14.9564i −0.0302511 0.478989i
\(976\) 3.10412 + 2.79496i 0.0993605 + 0.0894646i
\(977\) 5.10387 11.4635i 0.163287 0.366749i −0.813308 0.581833i \(-0.802336\pi\)
0.976596 + 0.215084i \(0.0690025\pi\)
\(978\) 13.5239 + 1.99371i 0.432447 + 0.0637520i
\(979\) 10.0744 13.6527i 0.321980 0.436342i
\(980\) 37.3923i 1.19445i
\(981\) −12.1223 2.30641i −0.387035 0.0736381i
\(982\) −15.6708 48.2298i −0.500076 1.53908i
\(983\) −15.6637 + 14.1037i −0.499594 + 0.449837i −0.879994 0.474986i \(-0.842453\pi\)
0.380399 + 0.924822i \(0.375787\pi\)
\(984\) −66.8977 + 18.6955i −2.13262 + 0.595991i
\(985\) 27.6588 + 2.90706i 0.881282 + 0.0926265i
\(986\) 1.06500 0.226373i 0.0339165 0.00720917i
\(987\) 17.0136 + 6.32265i 0.541549 + 0.201252i
\(988\) 2.04914 + 19.4963i 0.0651919 + 0.620259i
\(989\) −12.3481 −0.392648
\(990\) −26.3520 28.4540i −0.837522 0.904326i
\(991\) 60.3045 1.91564 0.957818 0.287375i \(-0.0927826\pi\)
0.957818 + 0.287375i \(0.0927826\pi\)
\(992\) −7.60738 72.3794i −0.241535 2.29805i
\(993\) −1.17937 6.96269i −0.0374262 0.220954i
\(994\) −34.8764 + 7.41321i −1.10621 + 0.235133i
\(995\) −37.4311 3.93417i −1.18665 0.124722i
\(996\) −13.4933 + 52.6055i −0.427552 + 1.66687i
\(997\) −41.7692 + 37.6091i −1.32284 + 1.19109i −0.356365 + 0.934347i \(0.615984\pi\)
−0.966479 + 0.256747i \(0.917349\pi\)
\(998\) 6.32493 + 19.4661i 0.200212 + 0.616190i
\(999\) 50.9710 9.76134i 1.61265 0.308835i
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 99.2.p.a.74.1 yes 80
3.2 odd 2 297.2.t.a.8.10 80
9.2 odd 6 891.2.k.a.404.20 80
9.4 even 3 297.2.t.a.206.10 80
9.5 odd 6 inner 99.2.p.a.41.1 yes 80
9.7 even 3 891.2.k.a.404.1 80
11.7 odd 10 inner 99.2.p.a.29.1 80
33.29 even 10 297.2.t.a.62.10 80
99.7 odd 30 891.2.k.a.161.20 80
99.29 even 30 891.2.k.a.161.1 80
99.40 odd 30 297.2.t.a.260.10 80
99.95 even 30 inner 99.2.p.a.95.1 yes 80
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
99.2.p.a.29.1 80 11.7 odd 10 inner
99.2.p.a.41.1 yes 80 9.5 odd 6 inner
99.2.p.a.74.1 yes 80 1.1 even 1 trivial
99.2.p.a.95.1 yes 80 99.95 even 30 inner
297.2.t.a.8.10 80 3.2 odd 2
297.2.t.a.62.10 80 33.29 even 10
297.2.t.a.206.10 80 9.4 even 3
297.2.t.a.260.10 80 99.40 odd 30
891.2.k.a.161.1 80 99.29 even 30
891.2.k.a.161.20 80 99.7 odd 30
891.2.k.a.404.1 80 9.7 even 3
891.2.k.a.404.20 80 9.2 odd 6