Properties

Label 99.2.p.a.41.1
Level $99$
Weight $2$
Character 99.41
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 41.1
Character \(\chi\) \(=\) 99.41
Dual form 99.2.p.a.29.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-2.46099 - 1.09570i) q^{2} +(-1.72861 - 0.109172i) q^{3} +(3.51765 + 3.90675i) q^{4} +(0.588502 + 1.32180i) q^{5} +(4.13447 + 2.16271i) q^{6} +(-0.300148 - 1.41209i) q^{7} +(-2.71136 - 8.34470i) q^{8} +(2.97616 + 0.377431i) q^{9} -3.89775i q^{10} +(3.03979 - 1.32654i) q^{11} +(-5.65413 - 7.13726i) q^{12} +(2.96055 - 0.311167i) q^{13} +(-0.808567 + 3.80401i) q^{14} +(-0.872985 - 2.34911i) q^{15} +(-1.37167 + 13.0506i) q^{16} +(3.35854 + 2.44012i) q^{17} +(-6.91076 - 4.18985i) q^{18} +(-1.19136 + 0.387096i) q^{19} +(-3.09378 + 6.94875i) q^{20} +(0.364678 + 2.47371i) q^{21} +(-8.93438 - 0.0661021i) q^{22} +(5.02939 + 2.90372i) q^{23} +(3.77586 + 14.7207i) q^{24} +(1.94484 - 2.15996i) q^{25} +(-7.62685 - 2.47811i) q^{26} +(-5.10341 - 0.977342i) q^{27} +(4.46085 - 6.13983i) q^{28} +(-0.0952306 + 0.0202419i) q^{29} +(-0.425525 + 6.73769i) q^{30} +(-0.427327 - 4.06575i) q^{31} +(8.90112 - 15.4172i) q^{32} +(-5.39941 + 1.96121i) q^{33} +(-5.59169 - 9.68509i) q^{34} +(1.68985 - 1.22775i) q^{35} +(8.99458 + 12.9548i) q^{36} +(-3.08635 + 9.49880i) q^{37} +(3.35607 + 0.352737i) q^{38} +(-5.15161 + 0.214676i) q^{39} +(9.43436 - 8.49473i) q^{40} +(-4.47075 - 0.950287i) q^{41} +(1.81298 - 6.48736i) 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} +(-5.39440 - 4.85714i) q^{47} +(3.79584 - 22.4096i) q^{48} +(4.49092 - 1.99949i) q^{49} +(-7.15292 + 3.18469i) q^{50} +(-5.53920 - 4.58467i) q^{51} +(11.6299 + 10.4716i) 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} +(2.10165 - 0.539074i) q^{57} +(0.256541 + 0.0545294i) q^{58} +(-2.24930 + 2.02528i) q^{59} +(6.10654 - 11.6739i) q^{60} +(-0.316566 - 0.0332724i) q^{61} +(-3.40321 + 10.4740i) q^{62} +(-0.360325 - 4.31588i) q^{63} +(-17.5657 + 12.7622i) q^{64} +(2.15359 + 3.73013i) q^{65} +(15.4368 + 1.08965i) q^{66} +(-1.71828 + 2.97615i) q^{67} +(2.28123 + 21.7045i) q^{68} +(-8.37683 - 5.56845i) q^{69} +(-5.50397 + 1.16990i) q^{70} +(5.38901 - 7.41734i) q^{71} +(-4.91990 - 25.8585i) q^{72} +(-6.75113 - 2.19358i) q^{73} +(18.0034 - 19.9948i) q^{74} +(-3.59767 + 3.52141i) q^{75} +(-5.70308 - 3.29267i) q^{76} +(-2.78557 - 3.89428i) q^{77} +(12.9133 + 5.11632i) q^{78} +(-4.07566 + 9.15408i) q^{79} +(-18.0574 + 5.86722i) q^{80} +(8.71509 + 2.24659i) q^{81} +(9.96124 + 7.23727i) q^{82} +(0.623446 - 5.93169i) q^{83} +(-8.38135 + 10.1264i) q^{84} +(-1.24884 + 5.87533i) q^{85} +(-5.69655 + 0.598731i) q^{86} +(0.166826 - 0.0245938i) q^{87} +(-19.3115 - 21.7694i) q^{88} +5.11584i q^{89} +(1.47113 - 11.6004i) q^{90} +(-1.32800 - 4.08716i) q^{91} +(6.34754 + 29.8628i) q^{92} +(0.294816 + 7.07473i) q^{93} +(7.95359 + 17.8641i) q^{94} +(-1.21278 - 1.34693i) q^{95} +(-17.0697 + 25.6785i) q^{96} +(5.51867 + 2.45707i) q^{97} -13.2430 q^{98} +(9.54757 - 2.80069i) 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 \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).

\(n\) \(46\) \(56\)
\(\chi(n)\) \(e\left(\frac{3}{10}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.46099 1.09570i −1.74018 0.774780i −0.994043 0.108993i \(-0.965238\pi\)
−0.746142 0.665787i \(-0.768096\pi\)
\(3\) −1.72861 0.109172i −0.998012 0.0630304i
\(4\) 3.51765 + 3.90675i 1.75883 + 1.95337i
\(5\) 0.588502 + 1.32180i 0.263186 + 0.591125i 0.996005 0.0892983i \(-0.0284624\pi\)
−0.732819 + 0.680424i \(0.761796\pi\)
\(6\) 4.13447 + 2.16271i 1.68789 + 0.882924i
\(7\) −0.300148 1.41209i −0.113445 0.533718i −0.997764 0.0668347i \(-0.978710\pi\)
0.884319 0.466884i \(-0.154623\pi\)
\(8\) −2.71136 8.34470i −0.958610 2.95030i
\(9\) 2.97616 + 0.377431i 0.992054 + 0.125810i
\(10\) 3.89775i 1.23258i
\(11\) 3.03979 1.32654i 0.916530 0.399967i
\(12\) −5.65413 7.13726i −1.63221 2.06035i
\(13\) 2.96055 0.311167i 0.821110 0.0863022i 0.315349 0.948976i \(-0.397878\pi\)
0.505761 + 0.862674i \(0.331212\pi\)
\(14\) −0.808567 + 3.80401i −0.216099 + 1.01666i
\(15\) −0.872985 2.34911i −0.225404 0.606539i
\(16\) −1.37167 + 13.0506i −0.342918 + 3.26265i
\(17\) 3.35854 + 2.44012i 0.814566 + 0.591817i 0.915151 0.403112i \(-0.132071\pi\)
−0.100585 + 0.994928i \(0.532071\pi\)
\(18\) −6.91076 4.18985i −1.62888 0.987557i
\(19\) −1.19136 + 0.387096i −0.273317 + 0.0888059i −0.442468 0.896784i \(-0.645897\pi\)
0.169152 + 0.985590i \(0.445897\pi\)
\(20\) −3.09378 + 6.94875i −0.691791 + 1.55379i
\(21\) 0.364678 + 2.47371i 0.0795793 + 0.539808i
\(22\) −8.93438 0.0661021i −1.90482 0.0140930i
\(23\) 5.02939 + 2.90372i 1.04870 + 0.605467i 0.922285 0.386511i \(-0.126320\pi\)
0.126414 + 0.991978i \(0.459653\pi\)
\(24\) 3.77586 + 14.7207i 0.770745 + 3.00485i
\(25\) 1.94484 2.15996i 0.388968 0.431993i
\(26\) −7.62685 2.47811i −1.49575 0.485998i
\(27\) −5.10341 0.977342i −0.982152 0.188090i
\(28\) 4.46085 6.13983i 0.843021 1.16032i
\(29\) −0.0952306 + 0.0202419i −0.0176839 + 0.00375882i −0.216745 0.976228i \(-0.569544\pi\)
0.199061 + 0.979987i \(0.436211\pi\)
\(30\) −0.425525 + 6.73769i −0.0776899 + 1.23013i
\(31\) −0.427327 4.06575i −0.0767503 0.730230i −0.963451 0.267886i \(-0.913675\pi\)
0.886700 0.462344i \(-0.152992\pi\)
\(32\) 8.90112 15.4172i 1.57351 2.72540i
\(33\) −5.39941 + 1.96121i −0.939917 + 0.341402i
\(34\) −5.59169 9.68509i −0.958967 1.66098i
\(35\) 1.68985 1.22775i 0.285637 0.207528i
\(36\) 8.99458 + 12.9548i 1.49910 + 2.15913i
\(37\) −3.08635 + 9.49880i −0.507392 + 1.56159i 0.289319 + 0.957233i \(0.406571\pi\)
−0.796711 + 0.604360i \(0.793429\pi\)
\(38\) 3.35607 + 0.352737i 0.544426 + 0.0572215i
\(39\) −5.15161 + 0.214676i −0.824917 + 0.0343756i
\(40\) 9.43436 8.49473i 1.49170 1.34314i
\(41\) −4.47075 0.950287i −0.698214 0.148410i −0.154888 0.987932i \(-0.549502\pi\)
−0.543325 + 0.839522i \(0.682835\pi\)
\(42\) 1.81298 6.48736i 0.279750 1.00102i
\(43\) 1.84140 1.06313i 0.280811 0.162126i −0.352980 0.935631i \(-0.614832\pi\)
0.633790 + 0.773505i \(0.281498\pi\)
\(44\) 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
\(47\) −5.39440 4.85714i −0.786855 0.708487i 0.174241 0.984703i \(-0.444253\pi\)
−0.961096 + 0.276216i \(0.910920\pi\)
\(48\) 3.79584 22.4096i 0.547882 3.23454i
\(49\) 4.49092 1.99949i 0.641560 0.285641i
\(50\) −7.15292 + 3.18469i −1.01158 + 0.450383i
\(51\) −5.53920 4.58467i −0.775644 0.641982i
\(52\) 11.6299 + 10.4716i 1.61277 + 1.45215i
\(53\) 0.197492 + 0.271824i 0.0271276 + 0.0373379i 0.822365 0.568960i \(-0.192654\pi\)
−0.795238 + 0.606298i \(0.792654\pi\)
\(54\) 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
\(57\) 2.10165 0.539074i 0.278371 0.0714021i
\(58\) 0.256541 + 0.0545294i 0.0336855 + 0.00716006i
\(59\) −2.24930 + 2.02528i −0.292833 + 0.263668i −0.802432 0.596744i \(-0.796461\pi\)
0.509598 + 0.860413i \(0.329794\pi\)
\(60\) 6.10654 11.6739i 0.788351 1.50709i
\(61\) −0.316566 0.0332724i −0.0405321 0.00426009i 0.0842407 0.996445i \(-0.473154\pi\)
−0.124773 + 0.992185i \(0.539820\pi\)
\(62\) −3.40321 + 10.4740i −0.432208 + 1.33020i
\(63\) −0.360325 4.31588i −0.0453967 0.543750i
\(64\) −17.5657 + 12.7622i −2.19571 + 1.59527i
\(65\) 2.15359 + 3.73013i 0.267120 + 0.462666i
\(66\) 15.4368 + 1.08965i 1.90014 + 0.134126i
\(67\) −1.71828 + 2.97615i −0.209922 + 0.363595i −0.951690 0.307062i \(-0.900654\pi\)
0.741768 + 0.670657i \(0.233988\pi\)
\(68\) 2.28123 + 21.7045i 0.276640 + 2.63206i
\(69\) −8.37683 5.56845i −1.00845 0.670363i
\(70\) −5.50397 + 1.16990i −0.657850 + 0.139830i
\(71\) 5.38901 7.41734i 0.639558 0.880276i −0.359034 0.933325i \(-0.616894\pi\)
0.998592 + 0.0530483i \(0.0168937\pi\)
\(72\) −4.91990 25.8585i −0.579815 3.04746i
\(73\) −6.75113 2.19358i −0.790160 0.256739i −0.113988 0.993482i \(-0.536363\pi\)
−0.676172 + 0.736743i \(0.736363\pi\)
\(74\) 18.0034 19.9948i 2.09285 2.32434i
\(75\) −3.59767 + 3.52141i −0.415423 + 0.406617i
\(76\) −5.70308 3.29267i −0.654188 0.377695i
\(77\) −2.78557 3.89428i −0.317446 0.443794i
\(78\) 12.9133 + 5.11632i 1.46214 + 0.579309i
\(79\) −4.07566 + 9.15408i −0.458547 + 1.02991i 0.525302 + 0.850916i \(0.323952\pi\)
−0.983849 + 0.178998i \(0.942714\pi\)
\(80\) −18.0574 + 5.86722i −2.01888 + 0.655975i
\(81\) 8.71509 + 2.24659i 0.968344 + 0.249621i
\(82\) 9.96124 + 7.23727i 1.10004 + 0.799222i
\(83\) 0.623446 5.93169i 0.0684321 0.651088i −0.905515 0.424314i \(-0.860515\pi\)
0.973947 0.226774i \(-0.0728180\pi\)
\(84\) −8.38135 + 10.1264i −0.914481 + 1.10488i
\(85\) −1.24884 + 5.87533i −0.135456 + 0.637269i
\(86\) −5.69655 + 0.598731i −0.614274 + 0.0645628i
\(87\) 0.166826 0.0245938i 0.0178856 0.00263673i
\(88\) −19.3115 21.7694i −2.05861 2.32062i
\(89\) 5.11584i 0.542278i 0.962540 + 0.271139i \(0.0874004\pi\)
−0.962540 + 0.271139i \(0.912600\pi\)
\(90\) 1.47113 11.6004i 0.155071 1.22278i
\(91\) −1.32800 4.08716i −0.139212 0.428451i
\(92\) 6.34754 + 29.8628i 0.661777 + 3.11341i
\(93\) 0.294816 + 7.07473i 0.0305710 + 0.733616i
\(94\) 7.95359 + 17.8641i 0.820350 + 1.84254i
\(95\) −1.21278 1.34693i −0.124429 0.138192i
\(96\) −17.0697 + 25.6785i −1.74216 + 2.62080i
\(97\) 5.51867 + 2.45707i 0.560336 + 0.249478i 0.667305 0.744785i \(-0.267448\pi\)
−0.106969 + 0.994262i \(0.534114\pi\)
\(98\) −13.2430 −1.33774
\(99\) 9.54757 2.80069i 0.959567 0.281480i
\(100\) 15.2797 1.52797
\(101\) −10.6358 4.73537i −1.05830 0.471187i −0.197593 0.980284i \(-0.563313\pi\)
−0.860709 + 0.509098i \(0.829979\pi\)
\(102\) 8.60849 + 17.3522i 0.852368 + 1.71812i
\(103\) −2.24151 2.48945i −0.220863 0.245293i 0.622523 0.782602i \(-0.286108\pi\)
−0.843386 + 0.537309i \(0.819441\pi\)
\(104\) −10.6237 23.8613i −1.04174 2.33979i
\(105\) −3.05513 + 1.93781i −0.298150 + 0.189111i
\(106\) −0.188187 0.885350i −0.0182783 0.0859928i
\(107\) 2.92166 + 8.99195i 0.282448 + 0.869285i 0.987152 + 0.159784i \(0.0510797\pi\)
−0.704704 + 0.709501i \(0.748920\pi\)
\(108\) −14.1338 23.3757i −1.36003 2.24933i
\(109\) 4.11325i 0.393978i −0.980406 0.196989i \(-0.936884\pi\)
0.980406 0.196989i \(-0.0631163\pi\)
\(110\) −5.17053 11.8483i −0.492990 1.12969i
\(111\) 6.37208 16.0828i 0.604811 1.52651i
\(112\) 18.8403 1.98019i 1.78024 0.187110i
\(113\) 4.20449 19.7806i 0.395525 1.86080i −0.104116 0.994565i \(-0.533201\pi\)
0.499640 0.866233i \(-0.333465\pi\)
\(114\) −5.76281 0.976132i −0.539737 0.0914231i
\(115\) −0.878321 + 8.35667i −0.0819039 + 0.779263i
\(116\) −0.414068 0.300838i −0.0384452 0.0279321i
\(117\) 8.92854 + 0.191321i 0.825444 + 0.0176876i
\(118\) 7.75460 2.51962i 0.713869 0.231950i
\(119\) 2.43760 5.47495i 0.223455 0.501888i
\(120\) −17.2357 + 13.6541i −1.57340 + 1.24644i
\(121\) 7.48059 8.06479i 0.680053 0.733163i
\(122\) 0.742609 + 0.428746i 0.0672327 + 0.0388168i
\(123\) 7.62442 + 2.13075i 0.687471 + 0.192123i
\(124\) 14.3807 15.9714i 1.29142 1.43427i
\(125\) 10.8799 + 3.53510i 0.973131 + 0.316189i
\(126\) −3.84217 + 11.0162i −0.342288 + 0.981398i
\(127\) −0.0604870 + 0.0832533i −0.00536736 + 0.00738753i −0.811692 0.584085i \(-0.801453\pi\)
0.806325 + 0.591473i \(0.201453\pi\)
\(128\) 22.3861 4.75831i 1.97867 0.420579i
\(129\) −3.29912 + 1.63671i −0.290471 + 0.144104i
\(130\) −1.21285 11.5395i −0.106374 1.01208i
\(131\) −7.68267 + 13.3068i −0.671238 + 1.16262i 0.306315 + 0.951930i \(0.400904\pi\)
−0.977553 + 0.210689i \(0.932429\pi\)
\(132\) −26.6552 14.1953i −2.32004 1.23554i
\(133\) 0.904197 + 1.56612i 0.0784039 + 0.135799i
\(134\) 7.48966 5.44156i 0.647008 0.470079i
\(135\) −1.71152 7.32084i −0.147304 0.630077i
\(136\) 11.2559 34.6421i 0.965185 2.97053i
\(137\) −3.70309 0.389210i −0.316376 0.0332525i −0.0549904 0.998487i \(-0.517513\pi\)
−0.261386 + 0.965234i \(0.584179\pi\)
\(138\) 14.5139 + 22.8824i 1.23551 + 1.94788i
\(139\) −12.6455 + 11.3860i −1.07257 + 0.965749i −0.999501 0.0315774i \(-0.989947\pi\)
−0.0730719 + 0.997327i \(0.523280\pi\)
\(140\) 10.7408 + 2.28303i 0.907766 + 0.192952i
\(141\) 8.79454 + 8.98501i 0.740634 + 0.756674i
\(142\) −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
\(146\) 14.2110 + 12.7956i 1.17611 + 1.05897i
\(147\) −7.98132 + 2.96604i −0.658288 + 0.244635i
\(148\) −47.9661 + 21.3559i −3.94279 + 1.75544i
\(149\) −10.4619 + 4.65792i −0.857070 + 0.381592i −0.787744 0.616002i \(-0.788751\pi\)
−0.0693251 + 0.997594i \(0.522085\pi\)
\(150\) 12.7123 4.72417i 1.03795 0.385727i
\(151\) −0.789963 0.711286i −0.0642863 0.0578836i 0.636361 0.771391i \(-0.280439\pi\)
−0.700648 + 0.713508i \(0.747105\pi\)
\(152\) 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
\(156\) −18.9602 19.3709i −1.51803 1.55091i
\(157\) 0.0835237 + 0.0177535i 0.00666592 + 0.00141688i 0.211243 0.977433i \(-0.432249\pi\)
−0.204578 + 0.978850i \(0.565582\pi\)
\(158\) 20.0603 18.0624i 1.59591 1.43697i
\(159\) −0.311710 0.491438i −0.0247202 0.0389735i
\(160\) 25.6167 + 2.69242i 2.02518 + 0.212855i
\(161\) 2.59074 7.97347i 0.204179 0.628398i
\(162\) −18.9862 15.0780i −1.49169 1.18464i
\(163\) −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
\(165\) −5.76988 5.98275i −0.449185 0.465757i
\(166\) −8.03368 + 13.9147i −0.623534 + 1.07999i
\(167\) 0.465535 + 4.42927i 0.0360242 + 0.342747i 0.997657 + 0.0684086i \(0.0217922\pi\)
−0.961633 + 0.274338i \(0.911541\pi\)
\(168\) 19.6536 9.75024i 1.51631 0.752247i
\(169\) −4.04786 + 0.860399i −0.311374 + 0.0661845i
\(170\) 9.51100 13.0908i 0.729461 1.00402i
\(171\) −3.69178 + 0.702406i −0.282318 + 0.0537143i
\(172\) 10.6308 + 3.45415i 0.810590 + 0.263377i
\(173\) −6.99267 + 7.76615i −0.531643 + 0.590449i −0.947809 0.318839i \(-0.896707\pi\)
0.416166 + 0.909289i \(0.363374\pi\)
\(174\) −0.437505 0.122267i −0.0331672 0.00926904i
\(175\) −3.63380 2.09797i −0.274689 0.158592i
\(176\) 13.1425 + 41.4905i 0.990655 + 3.12747i
\(177\) 4.10925 3.25535i 0.308870 0.244687i
\(178\) 5.60545 12.5901i 0.420146 0.943664i
\(179\) −9.58188 + 3.11334i −0.716183 + 0.232702i −0.644368 0.764716i \(-0.722879\pi\)
−0.0718157 + 0.997418i \(0.522879\pi\)
\(180\) −11.8303 + 19.5129i −0.881776 + 1.45441i
\(181\) 12.5433 + 9.11327i 0.932339 + 0.677384i 0.946564 0.322515i \(-0.104528\pi\)
−0.0142256 + 0.999899i \(0.504528\pi\)
\(182\) −1.21012 + 11.5136i −0.0897004 + 0.853443i
\(183\) 0.543585 + 0.0920750i 0.0401830 + 0.00680638i
\(184\) 10.5942 49.8417i 0.781014 3.67438i
\(185\) −14.3718 + 1.51054i −1.05664 + 0.111057i
\(186\) 7.02628 17.7339i 0.515192 1.30031i
\(187\) 13.4462 + 2.96221i 0.983281 + 0.216618i
\(188\) 38.1603i 2.78313i
\(189\) 0.151688 + 7.49980i 0.0110337 + 0.545530i
\(190\) 1.50881 + 4.64363i 0.109460 + 0.336884i
\(191\) −0.772348 3.63361i −0.0558851 0.262919i 0.941331 0.337485i \(-0.109576\pi\)
−0.997216 + 0.0745660i \(0.976243\pi\)
\(192\) 31.7574 20.1431i 2.29189 1.45371i
\(193\) −10.1429 22.7814i −0.730103 1.63984i −0.767914 0.640554i \(-0.778705\pi\)
0.0378104 0.999285i \(-0.487962\pi\)
\(194\) −10.8892 12.0937i −0.781798 0.868274i
\(195\) −3.31549 6.68304i −0.237427 0.478582i
\(196\) 23.6090 + 10.5114i 1.68636 + 0.750814i
\(197\) −19.2214 −1.36947 −0.684733 0.728794i \(-0.740081\pi\)
−0.684733 + 0.728794i \(0.740081\pi\)
\(198\) −26.5652 3.56884i −1.88791 0.253626i
\(199\) −26.0126 −1.84399 −0.921993 0.387206i \(-0.873440\pi\)
−0.921993 + 0.387206i \(0.873440\pi\)
\(200\) −23.2974 10.3727i −1.64738 0.733459i
\(201\) 3.29515 4.95701i 0.232422 0.349640i
\(202\) 20.9861 + 23.3074i 1.47657 + 1.63990i
\(203\) 0.0571666 + 0.128398i 0.00401231 + 0.00901179i
\(204\) −1.57384 37.7676i −0.110191 2.64426i
\(205\) −1.37496 6.46867i −0.0960312 0.451791i
\(206\) 2.78864 + 8.58255i 0.194294 + 0.597975i
\(207\) 13.8723 + 10.5402i 0.964193 + 0.732593i
\(208\) 39.0638i 2.70859i
\(209\) −3.10798 + 2.75707i −0.214983 + 0.190711i
\(210\) 9.64191 1.42143i 0.665355 0.0980877i
\(211\) 22.6127 2.37669i 1.55672 0.163618i 0.713294 0.700865i \(-0.247202\pi\)
0.843425 + 0.537247i \(0.180536\pi\)
\(212\) −0.367241 + 1.72773i −0.0252222 + 0.118661i
\(213\) −10.1252 + 12.2333i −0.693771 + 0.838214i
\(214\) 2.66233 25.3304i 0.181993 1.73155i
\(215\) 2.48891 + 1.80830i 0.169742 + 0.123325i
\(216\) 5.68154 + 45.2364i 0.386580 + 3.07794i
\(217\) −5.61293 + 1.82375i −0.381030 + 0.123804i
\(218\) −4.50691 + 10.1227i −0.305246 + 0.685594i
\(219\) 11.4306 + 4.52886i 0.772407 + 0.306032i
\(220\) −0.186643 + 25.2267i −0.0125835 + 1.70079i
\(221\) 10.7024 + 6.17905i 0.719923 + 0.415648i
\(222\) −33.3036 + 32.5976i −2.23519 + 2.18781i
\(223\) −15.2216 + 16.9053i −1.01932 + 1.13206i −0.0281268 + 0.999604i \(0.508954\pi\)
−0.991188 + 0.132460i \(0.957712\pi\)
\(224\) −24.4421 7.94170i −1.63310 0.530627i
\(225\) 6.60340 5.69436i 0.440227 0.379624i
\(226\) −32.0208 + 44.0729i −2.13000 + 2.93169i
\(227\) 7.95006 1.68984i 0.527664 0.112158i 0.0636262 0.997974i \(-0.479733\pi\)
0.464038 + 0.885815i \(0.346400\pi\)
\(228\) 9.49891 + 6.31435i 0.629081 + 0.418178i
\(229\) −1.42091 13.5191i −0.0938964 0.893365i −0.935514 0.353290i \(-0.885063\pi\)
0.841617 0.540074i \(-0.181604\pi\)
\(230\) 11.3180 19.6033i 0.746285 1.29260i
\(231\) 4.39002 + 7.03579i 0.288842 + 0.462921i
\(232\) 0.427117 + 0.739788i 0.0280416 + 0.0485694i
\(233\) −4.09157 + 2.97270i −0.268048 + 0.194748i −0.713687 0.700464i \(-0.752976\pi\)
0.445640 + 0.895212i \(0.352976\pi\)
\(234\) −21.7634 10.2539i −1.42272 0.670317i
\(235\) 3.24554 9.98874i 0.211716 0.651594i
\(236\) −15.8245 1.66322i −1.03009 0.108266i
\(237\) 8.04458 15.3789i 0.522551 0.998964i
\(238\) −11.9978 + 10.8029i −0.777705 + 0.700249i
\(239\) 19.7253 + 4.19274i 1.27592 + 0.271206i 0.795565 0.605868i \(-0.207174\pi\)
0.480356 + 0.877073i \(0.340507\pi\)
\(240\) 31.8548 8.17075i 2.05622 0.527420i
\(241\) 24.5094 14.1505i 1.57879 0.911516i 0.583764 0.811923i \(-0.301579\pi\)
0.995028 0.0995930i \(-0.0317541\pi\)
\(242\) −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
\(245\) 5.28583 + 4.75938i 0.337699 + 0.304066i
\(246\) −16.4290 13.5979i −1.04747 0.866969i
\(247\) −3.40663 + 1.51673i −0.216759 + 0.0965073i
\(248\) −32.7688 + 14.5896i −2.08082 + 0.926442i
\(249\) −1.72527 + 10.1855i −0.109334 + 0.645480i
\(250\) −22.9020 20.6210i −1.44845 1.30419i
\(251\) −13.7475 18.9219i −0.867737 1.19434i −0.979669 0.200622i \(-0.935704\pi\)
0.111931 0.993716i \(-0.464296\pi\)
\(252\) 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
\(255\) 2.80017 10.0198i 0.175354 0.627464i
\(256\) −17.8299 3.78987i −1.11437 0.236867i
\(257\) −0.309493 + 0.278669i −0.0193057 + 0.0173829i −0.678727 0.734391i \(-0.737468\pi\)
0.659421 + 0.751774i \(0.270801\pi\)
\(258\) 9.91245 0.413068i 0.617122 0.0257165i
\(259\) 14.3395 + 1.50714i 0.891012 + 0.0936492i
\(260\) −6.99709 + 21.5348i −0.433941 + 1.33553i
\(261\) −0.291062 + 0.0243002i −0.0180163 + 0.00150415i
\(262\) 33.4873 24.3299i 2.06885 1.50311i
\(263\) 14.0588 + 24.3505i 0.866902 + 1.50152i 0.865146 + 0.501520i \(0.167226\pi\)
0.00175644 + 0.999998i \(0.499441\pi\)
\(264\) 31.0054 + 39.7390i 1.90825 + 2.44576i
\(265\) −0.243072 + 0.421013i −0.0149318 + 0.0258626i
\(266\) −0.509223 4.84493i −0.0312225 0.297062i
\(267\) 0.558506 8.84328i 0.0341800 0.541200i
\(268\) −17.6714 + 3.75617i −1.07945 + 0.229445i
\(269\) −7.97137 + 10.9716i −0.486023 + 0.668953i −0.979648 0.200721i \(-0.935671\pi\)
0.493625 + 0.869675i \(0.335671\pi\)
\(270\) −3.80944 + 19.8918i −0.231835 + 1.21058i
\(271\) −10.5963 3.44294i −0.643678 0.209144i −0.0310533 0.999518i \(-0.509886\pi\)
−0.612624 + 0.790374i \(0.709886\pi\)
\(272\) −36.4518 + 40.4839i −2.21022 + 2.45470i
\(273\) 1.84939 + 7.21008i 0.111930 + 0.436374i
\(274\) 8.68681 + 5.01533i 0.524789 + 0.302987i
\(275\) 3.04662 9.14574i 0.183718 0.551509i
\(276\) −7.71222 52.3140i −0.464221 3.14894i
\(277\) −3.97962 + 8.93837i −0.239112 + 0.537055i −0.992745 0.120241i \(-0.961633\pi\)
0.753633 + 0.657296i \(0.228300\pi\)
\(278\) 43.5961 14.1652i 2.61472 0.849573i
\(279\) 0.262742 12.2616i 0.0157299 0.734084i
\(280\) −14.8270 10.7724i −0.886083 0.643777i
\(281\) 1.27367 12.1181i 0.0759805 0.722906i −0.888522 0.458834i \(-0.848267\pi\)
0.964503 0.264073i \(-0.0850659\pi\)
\(282\) −11.7984 31.7482i −0.702583 1.89058i
\(283\) −3.20045 + 15.0569i −0.190247 + 0.895042i 0.774645 + 0.632396i \(0.217928\pi\)
−0.964892 + 0.262646i \(0.915405\pi\)
\(284\) 47.9344 5.03810i 2.84438 0.298956i
\(285\) 1.94937 + 2.46071i 0.115471 + 0.145760i
\(286\) −26.4713 + 2.58438i −1.56528 + 0.152818i
\(287\) 6.59831i 0.389486i
\(288\) 32.3101 42.5245i 1.90389 2.50578i
\(289\) 0.0723102 + 0.222548i 0.00425354 + 0.0130911i
\(290\) 0.0788979 + 0.371185i 0.00463304 + 0.0217968i
\(291\) −9.27137 4.84979i −0.543497 0.284300i
\(292\) −15.1784 34.0912i −0.888248 1.99504i
\(293\) 18.2132 + 20.2278i 1.06403 + 1.18172i 0.982733 + 0.185031i \(0.0592385\pi\)
0.0812937 + 0.996690i \(0.474095\pi\)
\(294\) 22.8919 + 1.44576i 1.33508 + 0.0843184i
\(295\) −4.00072 1.78123i −0.232931 0.103707i
\(296\) 87.6328 5.09356
\(297\) −16.8098 + 3.79897i −0.975401 + 0.220438i
\(298\) 30.8503 1.78711
\(299\) 15.7933 + 7.03164i 0.913351 + 0.406650i
\(300\) −26.4126 1.66812i −1.52493 0.0963087i
\(301\) −2.05393 2.28112i −0.118386 0.131481i
\(302\) 1.16473 + 2.61603i 0.0670229 + 0.150536i
\(303\) 17.8682 + 9.34672i 1.02650 + 0.536955i
\(304\) −3.41768 16.0789i −0.196017 0.922188i
\(305\) −0.142320 0.438016i −0.00814923 0.0250807i
\(306\) −12.9863 30.9349i −0.742379 1.76843i
\(307\) 31.0795i 1.77380i −0.461960 0.886901i \(-0.652854\pi\)
0.461960 0.886901i \(-0.347146\pi\)
\(308\) 5.41529 24.5813i 0.308565 1.40065i
\(309\) 3.60291 + 4.54799i 0.204963 + 0.258726i
\(310\) −15.8473 + 1.66562i −0.900066 + 0.0946007i
\(311\) −1.18810 + 5.58959i −0.0673712 + 0.316956i −0.998910 0.0466865i \(-0.985134\pi\)
0.931538 + 0.363643i \(0.118467\pi\)
\(312\) 15.7593 + 42.4065i 0.892192 + 2.40080i
\(313\) 2.76294 26.2876i 0.156171 1.48587i −0.583069 0.812423i \(-0.698148\pi\)
0.739240 0.673442i \(-0.235185\pi\)
\(314\) −0.186099 0.135209i −0.0105021 0.00763026i
\(315\) 5.49267 3.01618i 0.309477 0.169943i
\(316\) −50.0994 + 16.2783i −2.81831 + 0.915725i
\(317\) −0.805282 + 1.80869i −0.0452291 + 0.101586i −0.934747 0.355314i \(-0.884374\pi\)
0.889518 + 0.456901i \(0.151040\pi\)
\(318\) 0.228646 + 1.55097i 0.0128218 + 0.0869739i
\(319\) −0.262629 + 0.187858i −0.0147044 + 0.0105180i
\(320\) −27.2064 15.7076i −1.52089 0.878084i
\(321\) −4.06874 15.8625i −0.227095 0.885359i
\(322\) −15.1124 + 16.7840i −0.842178 + 0.935334i
\(323\) −4.94579 1.60698i −0.275191 0.0894150i
\(324\) 21.8798 + 41.9504i 1.21554 + 2.33058i
\(325\) 5.08570 6.99986i 0.282104 0.388283i
\(326\) 7.71995 1.64093i 0.427569 0.0908825i
\(327\) −0.449051 + 7.11019i −0.0248326 + 0.393195i
\(328\) 4.19194 + 39.8836i 0.231461 + 2.20220i
\(329\) −5.23958 + 9.07523i −0.288868 + 0.500333i
\(330\) 7.64430 + 21.0456i 0.420805 + 1.15852i
\(331\) 2.03858 + 3.53093i 0.112051 + 0.194078i 0.916597 0.399812i \(-0.130925\pi\)
−0.804546 + 0.593890i \(0.797591\pi\)
\(332\) 25.3667 18.4300i 1.39218 1.01148i
\(333\) −12.7706 + 27.1051i −0.699825 + 1.48535i
\(334\) 3.70749 11.4105i 0.202865 0.624354i
\(335\) −4.94508 0.519749i −0.270179 0.0283969i
\(336\) −32.7836 + 1.36614i −1.78849 + 0.0745293i
\(337\) 21.2002 19.0887i 1.15485 1.03983i 0.156205 0.987725i \(-0.450074\pi\)
0.998642 0.0521039i \(-0.0165927\pi\)
\(338\) 10.9045 + 2.31782i 0.593126 + 0.126073i
\(339\) −9.42739 + 33.7338i −0.512025 + 1.83217i
\(340\) −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
\(344\) −13.8642 12.4834i −0.747508 0.673059i
\(345\) 2.43059 14.3495i 0.130858 0.772551i
\(346\) 25.7183 11.4505i 1.38262 0.615584i
\(347\) 9.44498 4.20518i 0.507033 0.225746i −0.137245 0.990537i \(-0.543825\pi\)
0.644278 + 0.764791i \(0.277158\pi\)
\(348\) 0.682918 + 0.565235i 0.0366082 + 0.0302998i
\(349\) −13.7137 12.3479i −0.734078 0.660967i 0.214783 0.976662i \(-0.431096\pi\)
−0.948861 + 0.315695i \(0.897762\pi\)
\(350\) 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 −0.775809 0.630968i \(-0.782658\pi\)
0.158530 + 0.987354i \(0.449324\pi\)
\(354\) −13.6797 + 3.50885i −0.727070 + 0.186493i
\(355\) 12.9757 + 2.75806i 0.688676 + 0.146383i
\(356\) −19.9863 + 17.9958i −1.05927 + 0.953774i
\(357\) −4.81137 + 9.19792i −0.254645 + 0.486805i
\(358\) 26.9922 + 2.83700i 1.42658 + 0.149940i
\(359\) −1.92854 + 5.93545i −0.101785 + 0.313261i −0.988962 0.148167i \(-0.952663\pi\)
0.887178 + 0.461428i \(0.152663\pi\)
\(360\) 31.2844 21.7209i 1.64883 1.14479i
\(361\) −14.1018 + 10.2456i −0.742202 + 0.539241i
\(362\) −20.8836 36.1715i −1.09762 1.90113i
\(363\) −13.8114 + 13.1242i −0.724913 + 0.688841i
\(364\) 11.2961 19.5654i 0.592075 1.02550i
\(365\) −1.07359 10.2145i −0.0561944 0.534654i
\(366\) −1.23687 0.822205i −0.0646523 0.0429773i
\(367\) 7.53202 1.60098i 0.393168 0.0835705i −0.00708542 0.999975i \(-0.502255\pi\)
0.400254 + 0.916404i \(0.368922\pi\)
\(368\) −44.7939 + 61.6535i −2.33504 + 3.21391i
\(369\) −12.9470 4.51561i −0.673994 0.235073i
\(370\) 37.0240 + 12.0298i 1.92479 + 0.625401i
\(371\) 0.324562 0.360463i 0.0168504 0.0187143i
\(372\) −26.6022 + 26.0382i −1.37926 + 1.35002i
\(373\) −18.2379 10.5296i −0.944321 0.545204i −0.0530086 0.998594i \(-0.516881\pi\)
−0.891312 + 0.453390i \(0.850214\pi\)
\(374\) −29.8452 22.0230i −1.54326 1.13878i
\(375\) −18.4212 7.29859i −0.951266 0.376897i
\(376\) −25.9052 + 58.1841i −1.33596 + 3.00062i
\(377\) −0.275637 + 0.0895598i −0.0141960 + 0.00461256i
\(378\) 7.84426 18.6232i 0.403465 0.957872i
\(379\) 24.0003 + 17.4372i 1.23281 + 0.895691i 0.997098 0.0761314i \(-0.0242568\pi\)
0.235715 + 0.971822i \(0.424257\pi\)
\(380\) 0.995973 9.47605i 0.0510923 0.486111i
\(381\) 0.113647 0.137309i 0.00582232 0.00703454i
\(382\) −2.08062 + 9.78855i −0.106454 + 0.500826i
\(383\) 2.65347 0.278891i 0.135586 0.0142506i −0.0364924 0.999334i \(-0.511618\pi\)
0.172078 + 0.985083i \(0.444952\pi\)
\(384\) −39.2162 + 5.78132i −2.00124 + 0.295027i
\(385\) 3.50813 5.97375i 0.178791 0.304451i
\(386\) 67.1784i 3.41929i
\(387\) 5.88156 2.46905i 0.298977 0.125509i
\(388\) 9.81361 + 30.2032i 0.498210 + 1.53333i
\(389\) 0.132531 + 0.623511i 0.00671961 + 0.0316133i 0.981380 0.192078i \(-0.0615226\pi\)
−0.974660 + 0.223691i \(0.928189\pi\)
\(390\) 0.836753 + 20.0797i 0.0423707 + 1.01678i
\(391\) 9.80597 + 22.0246i 0.495909 + 1.11383i
\(392\) −28.8616 32.0541i −1.45773 1.61897i
\(393\) 14.7330 22.1635i 0.743184 1.11800i
\(394\) 47.3036 + 21.0609i 2.38312 + 1.06103i
\(395\) −14.4984 −0.729492
\(396\) 44.5266 + 27.4481i 2.23755 + 1.37932i
\(397\) −25.2145 −1.26548 −0.632741 0.774364i \(-0.718070\pi\)
−0.632741 + 0.774364i \(0.718070\pi\)
\(398\) 64.0169 + 28.5021i 3.20888 + 1.42868i
\(399\) −1.39203 2.80591i −0.0696885 0.140471i
\(400\) 25.5211 + 28.3441i 1.27606 + 1.41720i
\(401\) −11.8646 26.6483i −0.592489 1.33075i −0.922216 0.386676i \(-0.873623\pi\)
0.329726 0.944077i \(-0.393044\pi\)
\(402\) −13.5407 + 8.58865i −0.675351 + 0.428363i
\(403\) −2.53025 11.9039i −0.126041 0.592976i
\(404\) −18.9132 58.2088i −0.940966 2.89600i
\(405\) 2.15931 + 12.8417i 0.107297 + 0.638109i
\(406\) 0.378625i 0.0187908i
\(407\) 3.21870 + 32.9685i 0.159545 + 1.63419i
\(408\) −23.2389 + 58.6537i −1.15050 + 2.90379i
\(409\) −16.5173 + 1.73603i −0.816726 + 0.0858413i −0.503673 0.863894i \(-0.668018\pi\)
−0.313053 + 0.949736i \(0.601352\pi\)
\(410\) −3.70399 + 17.4259i −0.182927 + 0.860603i
\(411\) 6.35869 + 1.07706i 0.313651 + 0.0531277i
\(412\) 1.84080 17.5140i 0.0906897 0.862855i
\(413\) 3.53499 + 2.56832i 0.173945 + 0.126379i
\(414\) −22.5907 41.1393i −1.11027 2.02188i
\(415\) 8.20739 2.66674i 0.402885 0.130905i
\(416\) 21.5549 48.4132i 1.05682 2.37365i
\(417\) 23.1020 18.3014i 1.13131 0.896224i
\(418\) 10.6696 3.37971i 0.521869 0.165307i
\(419\) −8.11793 4.68689i −0.396587 0.228969i 0.288423 0.957503i \(-0.406869\pi\)
−0.685010 + 0.728534i \(0.740202\pi\)
\(420\) −18.3174 5.11906i −0.893799 0.249785i
\(421\) −2.21553 + 2.46060i −0.107978 + 0.119922i −0.794711 0.606988i \(-0.792378\pi\)
0.686733 + 0.726910i \(0.259044\pi\)
\(422\) −58.2537 18.9278i −2.83575 0.921390i
\(423\) −14.2214 16.4917i −0.691468 0.801852i
\(424\) 1.73282 2.38502i 0.0841532 0.115827i
\(425\) 11.8024 2.50868i 0.572501 0.121689i
\(426\) 38.3223 19.0119i 1.85672 0.921128i
\(427\) 0.0480331 + 0.457005i 0.00232449 + 0.0221160i
\(428\) −24.8519 + 43.0448i −1.20126 + 2.08065i
\(429\) −15.3750 + 7.48638i −0.742312 + 0.361446i
\(430\) −4.14383 7.17732i −0.199833 0.346121i
\(431\) 1.72195 1.25107i 0.0829434 0.0602619i −0.545541 0.838084i \(-0.683676\pi\)
0.628484 + 0.777822i \(0.283676\pi\)
\(432\) 19.7551 65.2619i 0.950467 3.13991i
\(433\) −4.76068 + 14.6519i −0.228784 + 0.704124i 0.769102 + 0.639126i \(0.220704\pi\)
−0.997885 + 0.0649975i \(0.979296\pi\)
\(434\) 15.8117 + 1.66187i 0.758984 + 0.0797724i
\(435\) 0.130685 + 0.206037i 0.00626588 + 0.00987870i
\(436\) 16.0694 14.4690i 0.769587 0.692939i
\(437\) −7.11582 1.51251i −0.340396 0.0723534i
\(438\) −23.1683 23.6700i −1.10702 1.13100i
\(439\) −31.0083 + 17.9026i −1.47995 + 0.854447i −0.999742 0.0227105i \(-0.992770\pi\)
−0.480203 + 0.877157i \(0.659437\pi\)
\(440\) 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
\(443\) −8.91597 8.02798i −0.423611 0.381421i 0.429572 0.903032i \(-0.358664\pi\)
−0.853183 + 0.521612i \(0.825331\pi\)
\(444\) 85.2460 31.6794i 4.04560 1.50344i
\(445\) −6.76211 + 3.01068i −0.320555 + 0.142720i
\(446\) 55.9835 24.9255i 2.65090 1.18026i
\(447\) 18.5930 6.90958i 0.879417 0.326812i
\(448\) 23.2936 + 20.9737i 1.10052 + 0.990913i
\(449\) −15.0088 20.6578i −0.708307 0.974901i −0.999832 0.0183378i \(-0.994163\pi\)
0.291525 0.956563i \(-0.405837\pi\)
\(450\) −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
\(453\) 1.28788 + 1.31577i 0.0605100 + 0.0618205i
\(454\) −21.4166 4.55224i −1.00513 0.213647i
\(455\) 4.62087 4.16065i 0.216630 0.195054i
\(456\) −10.1967 16.0760i −0.477506 0.752829i
\(457\) −1.01435 0.106612i −0.0474492 0.00498711i 0.0807741 0.996732i \(-0.474261\pi\)
−0.128223 + 0.991745i \(0.540927\pi\)
\(458\) −11.3160 + 34.8272i −0.528764 + 1.62737i
\(459\) −14.7552 15.7354i −0.688713 0.734465i
\(460\) −35.7370 + 25.9645i −1.66625 + 1.21060i
\(461\) −2.26202 3.91794i −0.105353 0.182477i 0.808529 0.588456i \(-0.200264\pi\)
−0.913882 + 0.405979i \(0.866931\pi\)
\(462\) −3.09466 22.1252i −0.143976 1.02936i
\(463\) 4.22594 7.31953i 0.196396 0.340168i −0.750961 0.660346i \(-0.770410\pi\)
0.947357 + 0.320179i \(0.103743\pi\)
\(464\) −0.133543 1.27058i −0.00619959 0.0589852i
\(465\) −9.17786 + 4.55318i −0.425613 + 0.211149i
\(466\) 13.3265 2.83264i 0.617339 0.131219i
\(467\) −3.64591 + 5.01817i −0.168713 + 0.232213i −0.884998 0.465594i \(-0.845841\pi\)
0.716286 + 0.697807i \(0.245841\pi\)
\(468\) 30.6601 + 35.5546i 1.41726 + 1.64351i
\(469\) 4.71832 + 1.53308i 0.217872 + 0.0707909i
\(470\) −18.9320 + 21.0261i −0.873266 + 0.969860i
\(471\) −0.142441 0.0398073i −0.00656335 0.00183422i
\(472\) 22.9990 + 13.2785i 1.05861 + 0.611191i
\(473\) 4.18717 5.67438i 0.192526 0.260908i
\(474\) −36.6483 + 29.0328i −1.68331 + 1.33352i
\(475\) −1.48089 + 3.32613i −0.0679479 + 0.152614i
\(476\) 29.9639 9.73586i 1.37339 0.446242i
\(477\) 0.485173 + 0.883533i 0.0222146 + 0.0404542i
\(478\) −43.9497 31.9314i −2.01021 1.46051i
\(479\) −2.33164 + 22.1841i −0.106535 + 1.01362i 0.802430 + 0.596746i \(0.203540\pi\)
−0.908966 + 0.416871i \(0.863127\pi\)
\(480\) −43.9873 7.45077i −2.00774 0.340079i
\(481\) −6.18159 + 29.0821i −0.281856 + 1.32603i
\(482\) −75.8224 + 7.96925i −3.45361 + 0.362989i
\(483\) −5.34885 + 13.5002i −0.243381 + 0.614279i
\(484\) 57.8212 + 0.855641i 2.62824 + 0.0388928i
\(485\) 8.74055i 0.396888i
\(486\) 31.1735 + 28.1367i 1.41406 + 1.27631i
\(487\) 10.5290 + 32.4051i 0.477117 + 1.46841i 0.843082 + 0.537786i \(0.180739\pi\)
−0.365965 + 0.930629i \(0.619261\pi\)
\(488\) 0.580675 + 2.73186i 0.0262859 + 0.123665i
\(489\) 4.28517 2.71801i 0.193782 0.122913i
\(490\) −7.79351 17.5045i −0.352075 0.790773i
\(491\) 12.5962 + 13.9895i 0.568460 + 0.631338i 0.956998 0.290094i \(-0.0936866\pi\)
−0.388539 + 0.921432i \(0.627020\pi\)
\(492\) 18.4958 + 37.2819i 0.833853 + 1.68080i
\(493\) −0.369228 0.164391i −0.0166292 0.00740380i
\(494\) 10.0456 0.451972
\(495\) 9.32071 + 10.9717i 0.418935 + 0.493143i
\(496\) 53.6466 2.40880
\(497\) −12.0914 5.38345i −0.542375 0.241481i
\(498\) 15.4062 23.1761i 0.690367 1.03854i
\(499\) 5.08399 + 5.64634i 0.227591 + 0.252765i 0.846115 0.533001i \(-0.178936\pi\)
−0.618524 + 0.785766i \(0.712269\pi\)
\(500\) 24.4611 + 54.9404i 1.09393 + 2.45701i
\(501\) −0.321175 7.70728i −0.0143490 0.344336i
\(502\) 13.0998 + 61.6298i 0.584674 + 2.75067i
\(503\) 8.18033 + 25.1765i 0.364743 + 1.12256i 0.950142 + 0.311818i \(0.100938\pi\)
−0.585399 + 0.810745i \(0.699062\pi\)
\(504\) −35.0378 + 14.7087i −1.56071 + 0.655178i
\(505\) 16.8451i 0.749599i
\(506\) −44.7425 26.2754i −1.98905 1.16808i
\(507\) 7.09109 1.04538i 0.314926 0.0464269i
\(508\) −0.538022 + 0.0565484i −0.0238709 + 0.00250893i
\(509\) 2.65076 12.4708i 0.117493 0.552760i −0.879543 0.475820i \(-0.842151\pi\)
0.997036 0.0769406i \(-0.0245152\pi\)
\(510\) −17.8699 + 21.5905i −0.791294 + 0.956042i
\(511\) −1.07118 + 10.1916i −0.0473861 + 0.450849i
\(512\) 2.69612 + 1.95884i 0.119153 + 0.0865695i
\(513\) 6.45832 0.811144i 0.285142 0.0358129i
\(514\) 1.06700 0.346689i 0.0470633 0.0152918i
\(515\) 1.97141 4.42787i 0.0868709 0.195115i
\(516\) −17.9994 7.13146i −0.792378 0.313945i
\(517\) −22.8410 7.60878i −1.00455 0.334634i
\(518\) −33.6380 19.4209i −1.47797 0.853305i
\(519\) 12.9354 12.6612i 0.567802 0.555766i
\(520\) 25.2877 28.0848i 1.10894 1.23160i
\(521\) 6.80629 + 2.21150i 0.298189 + 0.0968875i 0.454291 0.890854i \(-0.349893\pi\)
−0.156102 + 0.987741i \(0.549893\pi\)
\(522\) 0.742926 + 0.259115i 0.0325170 + 0.0113411i
\(523\) 18.1933 25.0410i 0.795539 1.09497i −0.197857 0.980231i \(-0.563398\pi\)
0.993396 0.114734i \(-0.0366017\pi\)
\(524\) −79.0112 + 16.7944i −3.45162 + 0.733665i
\(525\) 6.05237 + 4.02328i 0.264147 + 0.175590i
\(526\) −7.91758 75.3308i −0.345223 3.28458i
\(527\) 8.48573 14.6977i 0.369644 0.640243i
\(528\) −18.1887 73.1556i −0.791560 3.18369i
\(529\) 5.36315 + 9.28924i 0.233180 + 0.403880i
\(530\) 1.05950 0.769775i 0.0460219 0.0334369i
\(531\) −7.45867 + 5.17860i −0.323679 + 0.224732i
\(532\) −2.93777 + 9.04152i −0.127368 + 0.392000i
\(533\) −13.5316 1.42223i −0.586118 0.0616035i
\(534\) −11.0641 + 21.1513i −0.478791 + 0.915306i
\(535\) −10.1661 + 9.15362i −0.439520 + 0.395746i
\(536\) 29.4940 + 6.26914i 1.27395 + 0.270785i
\(537\) 16.9032 4.33567i 0.729427 0.187098i
\(538\) 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 \(0.416658\pi\)
\(542\) 22.3049 + 20.0834i 0.958077 + 0.862657i
\(543\) −20.6876 17.1226i −0.887789 0.734802i
\(544\) 67.5146 30.0594i 2.89466 1.28879i
\(545\) 5.43688 2.42066i 0.232890 0.103689i
\(546\) 3.34879 19.7703i 0.143315 0.846092i
\(547\) −5.55409 5.00092i −0.237476 0.213824i 0.541796 0.840510i \(-0.317744\pi\)
−0.779272 + 0.626686i \(0.784411\pi\)
\(548\) −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
\(552\) −23.7545 + 85.0002i −1.01106 + 3.61785i
\(553\) 14.1496 + 3.00760i 0.601704 + 0.127896i
\(554\) 19.5876 17.6368i 0.832199 0.749315i
\(555\) 25.0081 1.04213i 1.06154 0.0442359i
\(556\) −88.9646 9.35056i −3.77294 0.396552i
\(557\) 8.26967 25.4514i 0.350397 1.07841i −0.608233 0.793758i \(-0.708121\pi\)
0.958631 0.284653i \(-0.0918785\pi\)
\(558\) −14.0817 + 29.8879i −0.596126 + 1.26525i
\(559\) 5.12075 3.72044i 0.216585 0.157358i
\(560\) 13.7049 + 23.7376i 0.579139 + 1.00310i
\(561\) −22.9197 6.58844i −0.967672 0.278164i
\(562\) −16.4124 + 28.4270i −0.692314 + 1.19912i
\(563\) −2.44072 23.2219i −0.102864 0.978688i −0.917236 0.398344i \(-0.869585\pi\)
0.814372 0.580343i \(-0.197082\pi\)
\(564\) −4.16604 + 65.9642i −0.175422 + 2.77759i
\(565\) 28.6202 6.08342i 1.20406 0.255931i
\(566\) 24.3742 33.5483i 1.02453 1.41014i
\(567\) 0.556559 12.9808i 0.0233733 0.545141i
\(568\) −76.5070 24.8586i −3.21016 1.04305i
\(569\) 3.63387 4.03583i 0.152340 0.169191i −0.662144 0.749376i \(-0.730353\pi\)
0.814484 + 0.580186i \(0.197020\pi\)
\(570\) −2.10118 8.19172i −0.0880087 0.343114i
\(571\) −8.79380 5.07710i −0.368009 0.212470i 0.304579 0.952487i \(-0.401484\pi\)
−0.672588 + 0.740017i \(0.734817\pi\)
\(572\) 49.2432 + 16.4039i 2.05896 + 0.685880i
\(573\) 0.938397 + 6.36540i 0.0392021 + 0.265918i
\(574\) 7.22980 16.2384i 0.301766 0.677777i
\(575\) 16.0533 5.21603i 0.669468 0.217523i
\(576\) −57.0951 + 31.3526i −2.37896 + 1.30636i
\(577\) 17.0075 + 12.3566i 0.708029 + 0.514414i 0.882537 0.470242i \(-0.155833\pi\)
−0.174508 + 0.984656i \(0.555833\pi\)
\(578\) 0.0658919 0.626919i 0.00274074 0.0260764i
\(579\) 15.0460 + 40.4873i 0.625292 + 1.68260i
\(580\) 0.153967 0.724357i 0.00639313 0.0300773i
\(581\) −8.56319 + 0.900028i −0.355261 + 0.0373394i
\(582\) 17.5028 + 22.0940i 0.725515 + 0.915825i
\(583\) 0.960918 + 0.564306i 0.0397972 + 0.0233712i
\(584\) 62.2837i 2.57732i
\(585\) 5.00157 + 11.9143i 0.206790 + 0.492596i
\(586\) −22.6588 69.7367i −0.936028 2.88080i
\(587\) −9.06898 42.6662i −0.374317 1.76102i −0.613155 0.789962i \(-0.710100\pi\)
0.238839 0.971059i \(-0.423233\pi\)
\(588\) −39.6631 20.7475i −1.63568 0.855613i
\(589\) 2.08294 + 4.67835i 0.0858259 + 0.192768i
\(590\) 7.89403 + 8.76721i 0.324992 + 0.360940i
\(591\) 33.2262 + 2.09843i 1.36674 + 0.0863180i
\(592\) −119.731 53.3079i −4.92093 2.19094i
\(593\) 37.0300 1.52064 0.760319 0.649549i \(-0.225042\pi\)
0.760319 + 0.649549i \(0.225042\pi\)
\(594\) 45.5312 + 9.06930i 1.86817 + 0.372118i
\(595\) 8.67130 0.355489
\(596\) −54.9986 24.4869i −2.25283 1.00302i
\(597\) 44.9656 + 2.83985i 1.84032 + 0.116227i
\(598\) −31.1626 34.6096i −1.27433 1.41529i
\(599\) −9.79998 22.0111i −0.400416 0.899350i −0.995417 0.0956251i \(-0.969515\pi\)
0.595001 0.803725i \(-0.297152\pi\)
\(600\) 39.1397 + 20.4737i 1.59787 + 0.835836i
\(601\) 3.88387 + 18.2722i 0.158426 + 0.745337i 0.983586 + 0.180438i \(0.0577516\pi\)
−0.825160 + 0.564899i \(0.808915\pi\)
\(602\) 2.55527 + 7.86431i 0.104145 + 0.320525i
\(603\) −6.23718 + 8.20898i −0.253998 + 0.334296i
\(604\) 5.58824i 0.227382i
\(605\) 15.0624 + 5.14167i 0.612372 + 0.209039i
\(606\) −33.7322 42.5804i −1.37028 1.72971i
\(607\) 24.4696 2.57186i 0.993192 0.104389i 0.406032 0.913859i \(-0.366912\pi\)
0.587161 + 0.809470i \(0.300246\pi\)
\(608\) −4.63650 + 21.8130i −0.188035 + 0.884634i
\(609\) −0.0848010 0.228191i −0.00343631 0.00924677i
\(610\) −0.129688 + 1.23390i −0.00525090 + 0.0499590i
\(611\) −17.4818 12.7013i −0.707238 0.513839i
\(612\) −1.40261 + 65.4571i −0.0566973 + 2.64595i
\(613\) 21.4976 6.98501i 0.868282 0.282122i 0.159199 0.987247i \(-0.449109\pi\)
0.709083 + 0.705125i \(0.249109\pi\)
\(614\) −34.0539 + 76.4864i −1.37431 + 3.08674i
\(615\) 1.67056 + 11.3319i 0.0673636 + 0.456946i
\(616\) −24.9439 + 33.8036i −1.00502 + 1.36198i
\(617\) 8.17258 + 4.71844i 0.329016 + 0.189957i 0.655404 0.755278i \(-0.272498\pi\)
−0.326388 + 0.945236i \(0.605832\pi\)
\(618\) −3.88349 15.1403i −0.156217 0.609032i
\(619\) −8.95871 + 9.94965i −0.360081 + 0.399910i −0.895779 0.444499i \(-0.853382\pi\)
0.535698 + 0.844409i \(0.320048\pi\)
\(620\) 29.5739 + 9.60915i 1.18772 + 0.385913i
\(621\) −22.8291 19.7343i −0.916100 0.791910i
\(622\) 9.04845 12.4541i 0.362810 0.499365i
\(623\) 7.22401 1.53551i 0.289424 0.0615190i
\(624\) 4.26467 67.5259i 0.170723 2.70320i
\(625\) 0.211100 + 2.00849i 0.00844401 + 0.0803394i
\(626\) −35.6031 + 61.6663i −1.42298 + 2.46468i
\(627\) 5.67347 4.42659i 0.226576 0.176781i
\(628\) 0.224449 + 0.388757i 0.00895648 + 0.0155131i
\(629\) −33.5439 + 24.3710i −1.33748 + 0.971737i
\(630\) −16.8223 + 1.40446i −0.670215 + 0.0559550i
\(631\) −3.99811 + 12.3049i −0.159162 + 0.489851i −0.998559 0.0536685i \(-0.982909\pi\)
0.839397 + 0.543519i \(0.182909\pi\)
\(632\) 87.4386 + 9.19017i 3.47812 + 0.365565i
\(633\) −39.3479 + 1.63969i −1.56394 + 0.0651718i
\(634\) 3.96358 3.56883i 0.157414 0.141736i
\(635\) −0.145641 0.0309569i −0.00577957 0.00122849i
\(636\) 0.823436 2.94648i 0.0326514 0.116836i
\(637\) 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
\(641\) 7.42438 + 6.68494i 0.293245 + 0.264039i 0.802600 0.596517i \(-0.203449\pi\)
−0.509355 + 0.860557i \(0.670116\pi\)
\(642\) −7.36749 + 43.4957i −0.290772 + 1.71664i
\(643\) −11.5865 + 5.15863i −0.456926 + 0.203436i −0.622275 0.782799i \(-0.713791\pi\)
0.165349 + 0.986235i \(0.447125\pi\)
\(644\) 40.2637 17.9265i 1.58661 0.706405i
\(645\) −4.10493 3.39756i −0.161632 0.133779i
\(646\) 10.4108 + 9.37390i 0.409606 + 0.368811i
\(647\) 19.3401 + 26.6193i 0.760337 + 1.04651i 0.997186 + 0.0749678i \(0.0238854\pi\)
−0.236849 + 0.971547i \(0.576115\pi\)
\(648\) −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
\(651\) 9.90165 2.53977i 0.388076 0.0995416i
\(652\) −15.0653 3.20222i −0.590001 0.125409i
\(653\) 15.8756 14.2944i 0.621259 0.559384i −0.297242 0.954802i \(-0.596067\pi\)
0.918501 + 0.395418i \(0.129400\pi\)
\(654\) 8.89578 17.0061i 0.347853 0.664991i
\(655\) −22.1101 2.32387i −0.863914 0.0908010i
\(656\) 18.5342 57.0424i 0.723639 2.22713i
\(657\) −19.2645 9.07652i −0.751582 0.354109i
\(658\) 22.8383 16.5930i 0.890331 0.646863i
\(659\) −5.34609 9.25969i −0.208254 0.360706i 0.742911 0.669391i \(-0.233445\pi\)
−0.951165 + 0.308684i \(0.900111\pi\)
\(660\) 3.07668 43.5867i 0.119760 1.69661i
\(661\) −14.6301 + 25.3401i −0.569045 + 0.985615i 0.427616 + 0.903961i \(0.359354\pi\)
−0.996661 + 0.0816544i \(0.973980\pi\)
\(662\) −1.14808 10.9233i −0.0446215 0.424545i
\(663\) −17.8257 11.8496i −0.692294 0.460199i
\(664\) −51.1886 + 10.8805i −1.98650 + 0.422244i
\(665\) −1.53796 + 2.11683i −0.0596397 + 0.0820870i
\(666\) 61.1275 52.7126i 2.36864 2.04257i
\(667\) −0.537728 0.174718i −0.0208209 0.00676512i
\(668\) −15.6664 + 17.3994i −0.606153 + 0.673201i
\(669\) 28.1578 27.5609i 1.08864 1.06557i
\(670\) 11.6003 + 6.69744i 0.448159 + 0.258745i
\(671\) −1.00643 + 0.318796i −0.0388528 + 0.0123070i
\(672\) 41.3837 + 16.3965i 1.59641 + 0.632508i
\(673\) −16.9757 + 38.1281i −0.654366 + 1.46973i 0.215531 + 0.976497i \(0.430852\pi\)
−0.869897 + 0.493233i \(0.835815\pi\)
\(674\) −73.0890 + 23.7481i −2.81528 + 0.914741i
\(675\) −12.0363 + 9.12241i −0.463279 + 0.351122i
\(676\) −17.6003 12.7874i −0.676935 0.491822i
\(677\) −3.10946 + 29.5845i −0.119506 + 1.13703i 0.756254 + 0.654278i \(0.227028\pi\)
−0.875760 + 0.482747i \(0.839639\pi\)
\(678\) 60.1630 72.6890i 2.31055 2.79160i
\(679\) 1.81318 8.53032i 0.0695833 0.327364i
\(680\) 52.4139 5.50892i 2.00998 0.211257i
\(681\) −13.9270 + 2.05314i −0.533684 + 0.0786766i
\(682\) 3.54915 + 36.3532i 0.135904 + 1.39204i
\(683\) 27.9122i 1.06803i −0.845475 0.534015i \(-0.820683\pi\)
0.845475 0.534015i \(-0.179317\pi\)
\(684\) −15.7305 11.9520i −0.601472 0.456998i
\(685\) −1.66482 5.12378i −0.0636094 0.195770i
\(686\) 9.63482 + 45.3283i 0.367859 + 1.73064i
\(687\) 0.980294 + 23.5243i 0.0374006 + 0.897507i
\(688\) 11.3487 + 25.4896i 0.432665 + 0.971782i
\(689\) 0.669268 + 0.743298i 0.0254971 + 0.0283174i
\(690\) −21.7045 + 32.6508i −0.826275 + 1.24300i
\(691\) 1.17256 + 0.522059i 0.0446064 + 0.0198601i 0.428919 0.903343i \(-0.358895\pi\)
−0.384312 + 0.923203i \(0.625561\pi\)
\(692\) −54.9382 −2.08844
\(693\) −6.82050 12.6414i −0.259089 0.480206i
\(694\) −27.8516 −1.05723
\(695\) −22.4919 10.0140i −0.853165 0.379854i
\(696\) −0.657553 1.32543i −0.0249245 0.0502403i
\(697\) −12.6964 14.1008i −0.480910 0.534104i
\(698\) 20.2197 + 45.4142i 0.765327 + 1.71895i
\(699\) 7.39725 4.69194i 0.279790 0.177466i
\(700\) −4.58618 21.5763i −0.173341 0.815507i
\(701\) −9.82030 30.2238i −0.370908 1.14154i −0.946198 0.323588i \(-0.895111\pi\)
0.575290 0.817949i \(-0.304889\pi\)
\(702\) 36.5010 + 20.1009i 1.37764 + 0.758659i
\(703\) 12.5112i 0.471869i
\(704\) −36.4662 + 62.0959i −1.37437 + 2.34033i
\(705\) −6.70075 + 16.9123i −0.252365 + 0.636954i
\(706\) 35.8783 3.77097i 1.35030 0.141922i
\(707\) −3.49443 + 16.4400i −0.131421 + 0.618289i
\(708\) 27.1727 + 4.60264i 1.02121 + 0.172978i
\(709\) −0.0500839 + 0.476516i −0.00188094 + 0.0178959i −0.995422 0.0955763i \(-0.969531\pi\)
0.993541 + 0.113472i \(0.0361973\pi\)
\(710\) −28.9110 21.0050i −1.08501 0.788305i
\(711\) −15.5848 + 25.7057i −0.584477 + 0.964041i
\(712\) 42.6902 13.8709i 1.59988 0.519833i
\(713\) 9.65659 21.6891i 0.361642 0.812262i
\(714\) 21.9189 17.3642i 0.820296 0.649837i
\(715\) 11.4946 + 8.48197i 0.429874 + 0.317208i
\(716\) −45.8688 26.4823i −1.71420 0.989692i
\(717\) −33.6395 9.40104i −1.25629 0.351088i
\(718\) 11.2496 12.4940i 0.419833 0.466271i
\(719\) 22.0526 + 7.16534i 0.822425 + 0.267222i 0.689851 0.723951i \(-0.257676\pi\)
0.132574 + 0.991173i \(0.457676\pi\)
\(720\) −55.9564 + 10.6464i −2.08537 + 0.396767i
\(721\) −2.84253 + 3.91241i −0.105862 + 0.145706i
\(722\) 45.9306 9.76285i 1.70936 0.363336i
\(723\) −43.9120 + 21.7850i −1.63311 + 0.810192i
\(724\) 8.51985 + 81.0610i 0.316638 + 3.01261i
\(725\) −0.141487 + 0.245062i −0.00525468 + 0.00910137i
\(726\) 48.3701 17.1653i 1.79518 0.637062i
\(727\) −19.7219 34.1593i −0.731444 1.26690i −0.956266 0.292498i \(-0.905513\pi\)
0.224822 0.974400i \(-0.427820\pi\)
\(728\) −30.5055 + 22.1635i −1.13061 + 0.821435i
\(729\) 25.0896 + 9.97556i 0.929245 + 0.369465i
\(730\) −8.55002 + 26.3143i −0.316450 + 0.973934i
\(731\) 8.77859 + 0.922667i 0.324688 + 0.0341261i
\(732\) 1.55243 + 2.44754i 0.0573795 + 0.0904637i
\(733\) −7.26549 + 6.54188i −0.268357 + 0.241630i −0.792312 0.610116i \(-0.791123\pi\)
0.523955 + 0.851746i \(0.324456\pi\)
\(734\) −20.2904 4.31287i −0.748934 0.159191i
\(735\) −8.61753 8.80416i −0.317862 0.324746i
\(736\) 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 \(0.944873\pi\)
\(740\) −56.4563 50.8335i −2.07538 1.86868i
\(741\) 6.05431 2.24992i 0.222411 0.0826530i
\(742\) −1.19371 + 0.531472i −0.0438223 + 0.0195110i
\(743\) −33.6405 + 14.9777i −1.23415 + 0.549480i −0.916997 0.398894i \(-0.869394\pi\)
−0.317155 + 0.948374i \(0.602727\pi\)
\(744\) 58.2372 21.6423i 2.13508 0.793445i
\(745\) −12.3137 11.0873i −0.451137 0.406206i
\(746\) 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
\(750\) 37.3373 + 38.1459i 1.36337 + 1.39289i
\(751\) 30.0301 + 6.38311i 1.09582 + 0.232923i 0.720140 0.693828i \(-0.244077\pi\)
0.375675 + 0.926751i \(0.377411\pi\)
\(752\) 70.7879 63.7377i 2.58137 2.32428i
\(753\) 21.6984 + 34.2093i 0.790732 + 1.24666i
\(754\) 0.776471 + 0.0816104i 0.0282774 + 0.00297207i
\(755\) 0.475281 1.46276i 0.0172972 0.0532354i
\(756\) −28.7663 + 26.9743i −1.04622 + 0.981046i
\(757\) −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
\(759\) −32.8505 5.81471i −1.19240 0.211061i
\(760\) −7.95143 + 13.7723i −0.288429 + 0.499573i
\(761\) 2.82341 + 26.8629i 0.102348 + 0.973781i 0.918360 + 0.395746i \(0.129514\pi\)
−0.816012 + 0.578035i \(0.803820\pi\)
\(762\) −0.430135 + 0.213392i −0.0155821 + 0.00773037i
\(763\) −5.80827 + 1.23458i −0.210273 + 0.0446950i
\(764\) 11.4788 15.7991i 0.415287 0.571593i
\(765\) −5.93428 + 17.0146i −0.214554 + 0.615163i
\(766\) −6.83574 2.22107i −0.246985 0.0802504i
\(767\) −6.02897 + 6.69585i −0.217693 + 0.241773i
\(768\) 30.4072 + 8.49773i 1.09723 + 0.306635i
\(769\) 41.9099 + 24.1967i 1.51131 + 0.872555i 0.999913 + 0.0132095i \(0.00420483\pi\)
0.511396 + 0.859345i \(0.329129\pi\)
\(770\) −15.1789 + 10.8575i −0.547011 + 0.391277i
\(771\) 0.565415 0.447921i 0.0203629 0.0161315i
\(772\) 53.3218 119.763i 1.91909 4.31036i
\(773\) 33.6456 10.9321i 1.21015 0.393201i 0.366664 0.930354i \(-0.380500\pi\)
0.843485 + 0.537152i \(0.180500\pi\)
\(774\) −17.1798 0.368129i −0.617516 0.0132321i
\(775\) −9.61296 6.98422i −0.345308 0.250881i
\(776\) 5.54043 52.7136i 0.198890 1.89231i
\(777\) −24.6228 4.17072i −0.883338 0.149624i
\(778\) 0.357025 1.67967i 0.0128000 0.0602192i
\(779\) 5.69412 0.598476i 0.204013 0.0214426i
\(780\) 14.4462 36.4614i 0.517258 1.30553i
\(781\) 6.54205 29.6959i 0.234093 1.06260i
\(782\) 64.9467i 2.32249i
\(783\) 0.505784 0.0102298i 0.0180752 0.000365582i
\(784\) 19.9344 + 61.3518i 0.711943 + 2.19113i
\(785\) 0.0256873 + 0.120849i 0.000916819 + 0.00431330i
\(786\) −60.5425 + 38.4010i −2.15948 + 1.36972i
\(787\) 10.4896 + 23.5601i 0.373914 + 0.839825i 0.998276 + 0.0586900i \(0.0186924\pi\)
−0.624362 + 0.781135i \(0.714641\pi\)
\(788\) −67.6141 75.0931i −2.40865 2.67508i
\(789\) −21.6437 43.6273i −0.770537 1.55317i
\(790\) 35.6803 + 15.8859i 1.26945 + 0.565195i
\(791\) −29.1938 −1.03801
\(792\) −49.2578 72.0780i −1.75030 2.56118i
\(793\) −0.947564 −0.0336490
\(794\) 62.0528 + 27.6277i 2.20217 + 0.980470i
\(795\) 0.466139 0.701229i 0.0165322 0.0248700i
\(796\) −91.5034 101.625i −3.24325 3.60200i
\(797\) 6.93844 + 15.5840i 0.245772 + 0.552013i 0.993739 0.111722i \(-0.0356368\pi\)
−0.747967 + 0.663735i \(0.768970\pi\)
\(798\) 0.351316 + 8.43057i 0.0124364 + 0.298439i
\(799\) −6.26530 29.4759i −0.221650 1.04278i
\(800\) −15.9893 49.2101i −0.565308 1.73984i
\(801\) −1.93088 + 15.2256i −0.0682242 + 0.537970i
\(802\) 78.5813i 2.77480i
\(803\) −23.4319 + 2.28764i −0.826892 + 0.0807292i
\(804\) 30.9570 4.56372i 1.09177 0.160950i
\(805\) 12.0640 1.26797i 0.425199 0.0446902i
\(806\) −6.81623 + 32.0678i −0.240091 + 1.12954i
\(807\) 14.9772 18.0954i 0.527221 0.636989i
\(808\) −10.6777 + 101.592i −0.375641 + 3.57399i
\(809\) 38.7684 + 28.1669i 1.36302 + 0.990295i 0.998246 + 0.0592001i \(0.0188550\pi\)
0.364778 + 0.931095i \(0.381145\pi\)
\(810\) 8.75666 33.9693i 0.307678 1.19356i
\(811\) 45.0299 14.6311i 1.58121 0.513768i 0.618845 0.785513i \(-0.287601\pi\)
0.962369 + 0.271745i \(0.0876009\pi\)
\(812\) −0.300527 + 0.674996i −0.0105464 + 0.0236877i
\(813\) 17.9409 + 7.10830i 0.629215 + 0.249299i
\(814\) 28.2025 84.6619i 0.988497 2.96740i
\(815\) −3.67109 2.11951i −0.128593 0.0742430i
\(816\) 67.4306 66.0012i 2.36054 2.31050i
\(817\) −1.78223 + 1.97937i −0.0623524 + 0.0692494i
\(818\) 42.5510 + 13.8257i 1.48776 + 0.483403i
\(819\) −2.40972 12.6653i −0.0842025 0.442561i
\(820\) 20.4348 28.1261i 0.713615 0.982207i
\(821\) −17.1942 + 3.65474i −0.600081 + 0.127551i −0.497929 0.867218i \(-0.665906\pi\)
−0.102152 + 0.994769i \(0.532573\pi\)
\(822\) −14.4685 9.61789i −0.504649 0.335463i
\(823\) −2.98965 28.4446i −0.104212 0.991516i −0.914254 0.405142i \(-0.867222\pi\)
0.810041 0.586373i \(-0.199445\pi\)
\(824\) −14.6962 + 25.4545i −0.511966 + 0.886751i
\(825\) −6.26487 + 15.4768i −0.218115 + 0.538832i
\(826\) −5.88546 10.1939i −0.204781 0.354691i
\(827\) 13.0031 9.44733i 0.452163 0.328516i −0.338286 0.941043i \(-0.609847\pi\)
0.790449 + 0.612527i \(0.209847\pi\)
\(828\) 7.62017 + 91.2724i 0.264819 + 3.17193i
\(829\) 0.324003 0.997179i 0.0112531 0.0346335i −0.945272 0.326282i \(-0.894204\pi\)
0.956525 + 0.291649i \(0.0942039\pi\)
\(830\) −23.1203 2.43004i −0.802517 0.0843479i
\(831\) 7.85502 15.0165i 0.272488 0.520916i
\(832\) −48.0329 + 43.2490i −1.66524 + 1.49939i
\(833\) 19.9619 + 4.24304i 0.691640 + 0.147013i
\(834\) −76.9069 + 19.7266i −2.66307 + 0.683077i
\(835\) −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
\(839\) −15.6005 14.0468i −0.538590 0.484949i 0.354357 0.935110i \(-0.384700\pi\)
−0.892947 + 0.450161i \(0.851366\pi\)
\(840\) 24.4540 + 20.2400i 0.843743 + 0.698347i
\(841\) −26.4842 + 11.7915i −0.913247 + 0.406604i
\(842\) 8.14849 3.62794i 0.280816 0.125027i
\(843\) −3.52463 + 20.8084i −0.121395 + 0.716680i
\(844\) 88.8286 + 79.9816i 3.05761 + 2.75308i
\(845\) −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
\(849\) 7.17611 25.6781i 0.246284 0.881271i
\(850\) −31.7944 6.75811i −1.09054 0.231801i
\(851\) −43.1043 + 38.8113i −1.47760 + 1.33043i
\(852\) −83.4097 + 3.47582i −2.85757 + 0.119079i
\(853\) 5.26358 + 0.553224i 0.180222 + 0.0189420i 0.194209 0.980960i \(-0.437786\pi\)
−0.0139877 + 0.999902i \(0.504453\pi\)
\(854\) 0.382533 1.17732i 0.0130900 0.0402869i
\(855\) −3.10106 4.46642i −0.106054 0.152748i
\(856\) 67.1135 48.7608i 2.29389 1.66661i
\(857\) 3.88021 + 6.72072i 0.132545 + 0.229575i 0.924657 0.380801i \(-0.124352\pi\)
−0.792112 + 0.610376i \(0.791018\pi\)
\(858\) 46.0406 1.57746i 1.57180 0.0538537i
\(859\) 24.3358 42.1508i 0.830326 1.43817i −0.0674537 0.997722i \(-0.521488\pi\)
0.897780 0.440445i \(-0.145179\pi\)
\(860\) 1.69055 + 16.0845i 0.0576473 + 0.548478i
\(861\) 0.720350 11.4059i 0.0245495 0.388711i
\(862\) −5.60851 + 1.19213i −0.191027 + 0.0406039i
\(863\) −8.87079 + 12.2096i −0.301965 + 0.415619i −0.932854 0.360253i \(-0.882690\pi\)
0.630889 + 0.775873i \(0.282690\pi\)
\(864\) −60.4939 + 69.9808i −2.05805 + 2.38080i
\(865\) −14.3805 4.67250i −0.488951 0.158870i
\(866\) 27.7701 30.8418i 0.943667 1.04805i
\(867\) −0.100700 0.392592i −0.00341995 0.0133331i
\(868\) −26.8693 15.5130i −0.912002 0.526545i
\(869\) −0.245878 + 33.2329i −0.00834084 + 1.12735i
\(870\) −0.0958604 0.650247i −0.00324997 0.0220454i
\(871\) −4.16099 + 9.34573i −0.140990 + 0.316668i
\(872\) −34.3238 + 11.1525i −1.16235 + 0.377671i
\(873\) 15.4971 + 9.39556i 0.524497 + 0.317991i
\(874\) 15.8547 + 11.5191i 0.536294 + 0.389640i
\(875\) 1.72628 16.4245i 0.0583589 0.555248i
\(876\) 22.5157 + 60.5874i 0.760734 + 2.04706i
\(877\) −4.60549 + 21.6671i −0.155516 + 0.731646i 0.829406 + 0.558647i \(0.188679\pi\)
−0.984922 + 0.172999i \(0.944654\pi\)
\(878\) 95.9272 10.0824i 3.23739 0.340263i
\(879\) −29.2752 36.9543i −0.987426 1.24644i
\(880\) −47.1077 + 41.7890i −1.58800 + 1.40871i
\(881\) 18.8235i 0.634180i 0.948395 + 0.317090i \(0.102706\pi\)
−0.948395 + 0.317090i \(0.897294\pi\)
\(882\) −39.4132 4.99830i −1.32711 0.168301i
\(883\) −11.7223 36.0776i −0.394488 1.21411i −0.929360 0.369175i \(-0.879640\pi\)
0.534872 0.844933i \(-0.320360\pi\)
\(884\) 13.5074 + 63.5475i 0.454304 + 2.13733i
\(885\) 6.72121 + 3.51582i 0.225931 + 0.118183i
\(886\) 13.1458 + 29.5260i 0.441643 + 0.991947i
\(887\) −19.4805 21.6352i −0.654090 0.726440i 0.321288 0.946982i \(-0.395884\pi\)
−0.975378 + 0.220541i \(0.929218\pi\)
\(888\) −151.483 9.56704i −5.08343 0.321049i
\(889\) 0.135716 + 0.0604246i 0.00455176 + 0.00202658i
\(890\) 19.9403 0.668401
\(891\) 29.4722 4.73176i 0.987356 0.158520i
\(892\) −119.589 −4.00414
\(893\) 8.30685 + 3.69845i 0.277978 + 0.123764i
\(894\) −53.3280 3.36798i −1.78356 0.112642i
\(895\) −9.75416 10.8331i −0.326046 0.362110i
\(896\) −13.4383 30.1829i −0.448942 1.00834i
\(897\) −26.5328 13.8791i −0.885903 0.463410i
\(898\) 14.3016 + 67.2838i 0.477251 + 2.24529i
\(899\) 0.122993 + 0.378534i 0.00410205 + 0.0126248i
\(900\) 45.4749 + 5.76703i 1.51583 + 0.192234i
\(901\) 1.39484i 0.0464688i
\(902\) 39.8806 + 8.78575i 1.32788 + 0.292534i
\(903\) 3.30140 + 4.16738i 0.109864 + 0.138682i
\(904\) −176.463 + 18.5470i −5.86906 + 0.616863i
\(905\) −4.66411 + 21.9429i −0.155040 + 0.729407i
\(906\) −1.72777 4.64925i −0.0574013 0.154461i
\(907\) 1.93945 18.4526i 0.0643984 0.612710i −0.913962 0.405801i \(-0.866993\pi\)
0.978360 0.206910i \(-0.0663406\pi\)
\(908\) 34.5673 + 25.1146i 1.14716 + 0.833458i
\(909\) −29.8666 18.1075i −0.990613 0.600588i
\(910\) −15.9308 + 5.17622i −0.528100 + 0.171590i
\(911\) 13.5116 30.3475i 0.447658 1.00546i −0.538949 0.842339i \(-0.681178\pi\)
0.986607 0.163118i \(-0.0521550\pi\)
\(912\) 4.15245 + 28.1672i 0.137501 + 0.932710i
\(913\) −5.97348 18.8581i −0.197693 0.624112i
\(914\) 2.37949 + 1.37380i 0.0787064 + 0.0454411i
\(915\) 0.198197 + 0.772696i 0.00655217 + 0.0255445i
\(916\) 47.8173 53.1065i 1.57993 1.75469i
\(917\) 21.0963 + 6.85459i 0.696660 + 0.226359i
\(918\) 19.0710 + 54.8920i 0.629438 + 1.81171i
\(919\) −10.8277 + 14.9031i −0.357173 + 0.491606i −0.949358 0.314195i \(-0.898265\pi\)
0.592185 + 0.805802i \(0.298265\pi\)
\(920\) 72.1153 15.3286i 2.37757 0.505369i
\(921\) −3.39301 + 53.7242i −0.111803 + 1.77027i
\(922\) 1.27392 + 12.1205i 0.0419543 + 0.399168i
\(923\) 13.6464 23.6363i 0.449178 0.777999i
\(924\) −12.0445 + 41.9001i −0.396235 + 1.37841i
\(925\) 14.5146 + 25.1401i 0.477238 + 0.826600i
\(926\) −18.4200 + 13.3829i −0.605320 + 0.439791i
\(927\) −5.73151 8.25503i −0.188247 0.271131i
\(928\) −0.535586 + 1.64836i −0.0175815 + 0.0541102i
\(929\) 29.1247 + 3.06113i 0.955551 + 0.100432i 0.569452 0.822025i \(-0.307156\pi\)
0.386099 + 0.922457i \(0.373822\pi\)
\(930\) 27.5756 1.14912i 0.904239 0.0376811i
\(931\) −4.57631 + 4.12052i −0.149982 + 0.135045i
\(932\) −26.0063 5.52781i −0.851865 0.181070i
\(933\) 2.66399 9.53249i 0.0872151 0.312080i
\(934\) 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 \(0.883095\pi\)
\(938\) −9.93196 8.94277i −0.324290 0.291992i
\(939\) −7.64591 + 45.1394i −0.249515 + 1.47307i
\(940\) 50.4402 22.4574i 1.64518 0.732480i
\(941\) −7.56700 + 3.36905i −0.246677 + 0.109828i −0.526351 0.850267i \(-0.676440\pi\)
0.279674 + 0.960095i \(0.409774\pi\)
\(942\) 0.306930 + 0.254039i 0.0100003 + 0.00827704i
\(943\) −19.7258 17.7611i −0.642359 0.578383i
\(944\) −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 −0.567527 0.823355i \(-0.692100\pi\)
0.429283 + 0.903170i \(0.358766\pi\)
\(948\) 88.3793 22.6693i 2.87043 0.736265i
\(949\) −20.6697 4.39347i −0.670966 0.142618i
\(950\) 7.28892 6.56297i 0.236484 0.212931i
\(951\) 1.58947 3.03860i 0.0515422 0.0985335i
\(952\) −52.2960 5.49653i −1.69492 0.178144i
\(953\) −1.81366 + 5.58186i −0.0587501 + 0.180814i −0.976125 0.217211i \(-0.930304\pi\)
0.917375 + 0.398025i \(0.130304\pi\)
\(954\) −0.225917 2.70597i −0.00731433 0.0876091i
\(955\) 4.34837 3.15927i 0.140710 0.102232i
\(956\) 53.0067 + 91.8103i 1.71436 + 2.96936i
\(957\) 0.474491 0.296061i 0.0153381 0.00957030i
\(958\) 30.0453 52.0401i 0.970721 1.68134i
\(959\) 0.561877 + 5.34590i 0.0181439 + 0.172628i
\(960\) 45.3144 + 30.1225i 1.46252 + 0.972200i
\(961\) 13.9749 2.97045i 0.450802 0.0958210i
\(962\) 47.0782 64.7976i 1.51786 2.08916i
\(963\) 5.30151 + 27.8642i 0.170839 + 0.897913i
\(964\) 141.498 + 45.9756i 4.55735 + 1.48077i
\(965\) 24.1432 26.8137i 0.777197 0.863165i
\(966\) 27.9557 27.3630i 0.899458 0.880391i
\(967\) 15.1909 + 8.77049i 0.488507 + 0.282040i 0.723955 0.689847i \(-0.242322\pi\)
−0.235448 + 0.971887i \(0.575656\pi\)
\(968\) −87.5808 40.5567i −2.81495 1.30354i
\(969\) 8.37389 + 3.31779i 0.269008 + 0.106583i
\(970\) 9.57706 21.5104i 0.307501 0.690658i
\(971\) −46.6836 + 15.1684i −1.49815 + 0.486778i −0.939478 0.342610i \(-0.888689\pi\)
−0.558672 + 0.829389i \(0.688689\pi\)
\(972\) −33.2418 74.9044i −1.06623 2.40256i
\(973\) 19.8735 + 14.4390i 0.637117 + 0.462892i
\(974\) 9.59448 91.2854i 0.307427 2.92497i
\(975\) −9.55536 + 11.5448i −0.306017 + 0.369729i
\(976\) 0.868449 4.08573i 0.0277984 0.130781i
\(977\) 12.4796 1.31166i 0.399258 0.0419637i 0.0972278 0.995262i \(-0.469002\pi\)
0.302030 + 0.953298i \(0.402336\pi\)
\(978\) −13.5239 + 1.99371i −0.432447 + 0.0637520i
\(979\) 6.78637 + 15.5511i 0.216893 + 0.497014i
\(980\) 37.3923i 1.19445i
\(981\) 1.55247 12.2417i 0.0495664 0.390848i
\(982\) −15.6708 48.2298i −0.500076 1.53908i
\(983\) 4.38228 + 20.6170i 0.139773 + 0.657580i 0.991119 + 0.132976i \(0.0424532\pi\)
−0.851346 + 0.524604i \(0.824213\pi\)
\(984\) −2.89204 69.4007i −0.0921949 2.21241i
\(985\) −11.3118 25.4067i −0.360424 0.809526i
\(986\) 0.728544 + 0.809130i 0.0232016 + 0.0257680i
\(987\) 10.0479 15.1155i 0.319829 0.481131i
\(988\) −17.9088 7.97353i −0.569756 0.253672i
\(989\) 12.3481 0.392648
\(990\) −10.9164 37.2141i −0.346946 1.18274i
\(991\) 60.3045 1.91564 0.957818 0.287375i \(-0.0927826\pi\)
0.957818 + 0.287375i \(0.0927826\pi\)
\(992\) −66.4861 29.6015i −2.11094 0.939849i
\(993\) −3.13843 6.32615i −0.0995952 0.200754i
\(994\) 23.8582 + 26.4973i 0.756737 + 0.840442i
\(995\) −15.3085 34.3834i −0.485311 1.09003i
\(996\) −45.8611 + 29.0889i −1.45316 + 0.921716i
\(997\) −11.6859 54.9777i −0.370096 1.74116i −0.630986 0.775794i \(-0.717349\pi\)
0.260890 0.965368i \(-0.415984\pi\)
\(998\) −6.32493 19.4661i −0.200212 0.616190i
\(999\) 25.0345 45.4599i 0.792056 1.43829i
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.41.1 yes 80
3.2 odd 2 297.2.t.a.206.10 80
9.2 odd 6 inner 99.2.p.a.74.1 yes 80
9.4 even 3 891.2.k.a.404.20 80
9.5 odd 6 891.2.k.a.404.1 80
9.7 even 3 297.2.t.a.8.10 80
11.7 odd 10 inner 99.2.p.a.95.1 yes 80
33.29 even 10 297.2.t.a.260.10 80
99.7 odd 30 297.2.t.a.62.10 80
99.29 even 30 inner 99.2.p.a.29.1 80
99.40 odd 30 891.2.k.a.161.1 80
99.95 even 30 891.2.k.a.161.20 80
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
99.2.p.a.29.1 80 99.29 even 30 inner
99.2.p.a.41.1 yes 80 1.1 even 1 trivial
99.2.p.a.74.1 yes 80 9.2 odd 6 inner
99.2.p.a.95.1 yes 80 11.7 odd 10 inner
297.2.t.a.8.10 80 9.7 even 3
297.2.t.a.62.10 80 99.7 odd 30
297.2.t.a.206.10 80 3.2 odd 2
297.2.t.a.260.10 80 33.29 even 10
891.2.k.a.161.1 80 99.40 odd 30
891.2.k.a.161.20 80 99.95 even 30
891.2.k.a.404.1 80 9.5 odd 6
891.2.k.a.404.20 80 9.4 even 3