Properties

Label 490.2.w.a.103.10
Level $490$
Weight $2$
Character 490.103
Analytic conductor $3.913$
Analytic rank $0$
Dimension $672$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [490,2,Mod(3,490)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(490, base_ring=CyclotomicField(84))
 
chi = DirichletCharacter(H, H._module([63, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("490.3");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 490 = 2 \cdot 5 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 490.w (of order \(84\), degree \(24\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.91266969904\)
Analytic rank: \(0\)
Dimension: \(672\)
Relative dimension: \(28\) over \(\Q(\zeta_{84})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{84}]$

Embedding invariants

Embedding label 103.10
Character \(\chi\) \(=\) 490.103
Dual form 490.2.w.a.157.10

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.593820 + 0.804598i) q^{2} +(1.31303 - 0.248439i) q^{3} +(-0.294755 - 0.955573i) q^{4} +(-2.10989 + 0.740514i) q^{5} +(-0.579811 + 1.20399i) q^{6} +(-2.62184 + 0.354875i) q^{7} +(0.943883 + 0.330279i) q^{8} +(-1.13029 + 0.443607i) q^{9} +O(q^{10})\) \(q+(-0.593820 + 0.804598i) q^{2} +(1.31303 - 0.248439i) q^{3} +(-0.294755 - 0.955573i) q^{4} +(-2.10989 + 0.740514i) q^{5} +(-0.579811 + 1.20399i) q^{6} +(-2.62184 + 0.354875i) q^{7} +(0.943883 + 0.330279i) q^{8} +(-1.13029 + 0.443607i) q^{9} +(0.657080 - 2.13735i) q^{10} +(1.32469 - 3.37526i) q^{11} +(-0.624424 - 1.18147i) q^{12} +(-2.56956 - 0.289519i) q^{13} +(1.27137 - 2.32026i) q^{14} +(-2.58638 + 1.49650i) q^{15} +(-0.826239 + 0.563320i) q^{16} +(-2.91331 - 0.109009i) q^{17} +(0.314265 - 1.17285i) q^{18} +(2.53406 - 4.38913i) q^{19} +(1.32952 + 1.79788i) q^{20} +(-3.35440 + 1.11733i) q^{21} +(1.92910 + 3.07014i) q^{22} +(-0.326419 - 8.72372i) q^{23} +(1.32140 + 0.199169i) q^{24} +(3.90328 - 3.12481i) q^{25} +(1.75880 - 1.89554i) q^{26} +(-4.76840 + 2.99619i) q^{27} +(1.11191 + 2.40076i) q^{28} +(-4.11061 + 0.938219i) q^{29} +(0.331766 - 2.96965i) q^{30} +(-7.76502 + 4.48314i) q^{31} +(0.0373912 - 0.999301i) q^{32} +(0.900815 - 4.76092i) q^{33} +(1.81769 - 2.27932i) q^{34} +(5.26901 - 2.69026i) q^{35} +(0.757058 + 0.949320i) q^{36} +(-7.92532 + 4.18866i) q^{37} +(2.02670 + 4.64526i) q^{38} +(-3.44584 + 0.258230i) q^{39} +(-2.23607 + 0.00210624i) q^{40} +(2.60917 + 5.41799i) q^{41} +(1.09291 - 3.36243i) q^{42} +(2.64003 + 7.54478i) q^{43} +(-3.61576 - 0.270964i) q^{44} +(2.05629 - 1.77296i) q^{45} +(7.21292 + 4.91769i) q^{46} +(-0.842452 - 0.621758i) q^{47} +(-0.944927 + 0.944927i) q^{48} +(6.74813 - 1.86085i) q^{49} +(0.196368 + 4.99614i) q^{50} +(-3.85236 + 0.580649i) q^{51} +(0.480733 + 2.54073i) q^{52} +(-2.42579 - 1.28207i) q^{53} +(0.420849 - 5.61584i) q^{54} +(-0.295527 + 8.10238i) q^{55} +(-2.59192 - 0.530980i) q^{56} +(2.23688 - 6.39262i) q^{57} +(1.68607 - 3.86452i) q^{58} +(-0.214298 - 2.85961i) q^{59} +(2.19236 + 2.03037i) q^{60} +(1.41056 - 4.57293i) q^{61} +(1.00390 - 8.90990i) q^{62} +(2.80602 - 1.56418i) q^{63} +(0.781831 + 0.623490i) q^{64} +(5.63587 - 1.29194i) q^{65} +(3.29571 + 3.55193i) q^{66} +(1.32105 + 0.353975i) q^{67} +(0.754549 + 2.81602i) q^{68} +(-2.59591 - 11.3734i) q^{69} +(-0.964270 + 5.83697i) q^{70} +(3.04471 - 13.3397i) q^{71} +(-1.21338 + 0.0454014i) q^{72} +(-5.79727 + 4.27858i) q^{73} +(1.33603 - 8.86401i) q^{74} +(4.34880 - 5.07270i) q^{75} +(-4.94106 - 1.12776i) q^{76} +(-2.27534 + 9.31950i) q^{77} +(1.83844 - 2.92585i) q^{78} +(8.89360 + 5.13472i) q^{79} +(1.32613 - 1.80039i) q^{80} +(-2.84642 + 2.64109i) q^{81} +(-5.90868 - 1.11798i) q^{82} +(0.313175 + 2.77950i) q^{83} +(2.05642 + 2.87603i) q^{84} +(6.22750 - 1.92735i) q^{85} +(-7.63822 - 2.35608i) q^{86} +(-5.16426 + 2.25315i) q^{87} +(2.36513 - 2.74833i) q^{88} +(0.983880 + 2.50689i) q^{89} +(0.205449 + 2.70731i) q^{90} +(6.83972 - 0.152796i) q^{91} +(-8.23994 + 2.88328i) q^{92} +(-9.08193 + 7.81564i) q^{93} +(1.00053 - 0.308623i) q^{94} +(-2.09639 + 11.1371i) q^{95} +(-0.199169 - 1.32140i) q^{96} +(8.88051 + 8.88051i) q^{97} +(-2.50994 + 6.53454i) q^{98} +4.40267i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 672 q + 12 q^{5} - 28 q^{6} - 8 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 672 q + 12 q^{5} - 28 q^{6} - 8 q^{7} + 12 q^{10} + 4 q^{11} - 44 q^{15} - 56 q^{16} + 8 q^{17} + 28 q^{21} + 20 q^{22} + 4 q^{23} - 4 q^{25} + 16 q^{26} - 4 q^{28} - 12 q^{30} - 24 q^{31} - 48 q^{33} - 8 q^{35} + 92 q^{36} - 12 q^{37} - 24 q^{38} - 112 q^{41} + 76 q^{42} + 24 q^{43} - 100 q^{45} - 160 q^{46} + 72 q^{47} + 32 q^{50} - 208 q^{51} + 160 q^{53} - 84 q^{55} - 52 q^{56} - 92 q^{57} + 128 q^{58} - 212 q^{61} + 36 q^{63} - 16 q^{67} + 36 q^{68} - 16 q^{70} - 16 q^{71} + 12 q^{73} + 132 q^{75} - 16 q^{77} + 80 q^{78} + 12 q^{80} - 36 q^{81} + 48 q^{82} - 308 q^{83} - 40 q^{85} - 4 q^{86} + 52 q^{87} - 4 q^{88} + 84 q^{90} - 124 q^{91} - 8 q^{92} - 536 q^{93} - 28 q^{95} - 12 q^{96} - 40 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/490\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(197\)
\(\chi(n)\) \(e\left(\frac{29}{42}\right)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.593820 + 0.804598i −0.419894 + 0.568937i
\(3\) 1.31303 0.248439i 0.758079 0.143436i 0.207518 0.978231i \(-0.433461\pi\)
0.550561 + 0.834795i \(0.314414\pi\)
\(4\) −0.294755 0.955573i −0.147378 0.477786i
\(5\) −2.10989 + 0.740514i −0.943572 + 0.331168i
\(6\) −0.579811 + 1.20399i −0.236707 + 0.491527i
\(7\) −2.62184 + 0.354875i −0.990964 + 0.134130i
\(8\) 0.943883 + 0.330279i 0.333713 + 0.116771i
\(9\) −1.13029 + 0.443607i −0.376764 + 0.147869i
\(10\) 0.657080 2.13735i 0.207787 0.675888i
\(11\) 1.32469 3.37526i 0.399409 1.01768i −0.579788 0.814767i \(-0.696865\pi\)
0.979197 0.202911i \(-0.0650402\pi\)
\(12\) −0.624424 1.18147i −0.180256 0.341061i
\(13\) −2.56956 0.289519i −0.712666 0.0802982i −0.251815 0.967775i \(-0.581027\pi\)
−0.460852 + 0.887477i \(0.652456\pi\)
\(14\) 1.27137 2.32026i 0.339789 0.620116i
\(15\) −2.58638 + 1.49650i −0.667801 + 0.386394i
\(16\) −0.826239 + 0.563320i −0.206560 + 0.140830i
\(17\) −2.91331 0.109009i −0.706583 0.0264385i −0.318315 0.947985i \(-0.603117\pi\)
−0.388268 + 0.921547i \(0.626926\pi\)
\(18\) 0.314265 1.17285i 0.0740729 0.276444i
\(19\) 2.53406 4.38913i 0.581354 1.00694i −0.413965 0.910293i \(-0.635856\pi\)
0.995319 0.0966422i \(-0.0308103\pi\)
\(20\) 1.32952 + 1.79788i 0.297289 + 0.402019i
\(21\) −3.35440 + 1.11733i −0.731990 + 0.243821i
\(22\) 1.92910 + 3.07014i 0.411285 + 0.654556i
\(23\) −0.326419 8.72372i −0.0680630 1.81902i −0.448027 0.894020i \(-0.647873\pi\)
0.379964 0.925001i \(-0.375937\pi\)
\(24\) 1.32140 + 0.199169i 0.269730 + 0.0406553i
\(25\) 3.90328 3.12481i 0.780656 0.624962i
\(26\) 1.75880 1.89554i 0.344929 0.371745i
\(27\) −4.76840 + 2.99619i −0.917680 + 0.576616i
\(28\) 1.11191 + 2.40076i 0.210131 + 0.453701i
\(29\) −4.11061 + 0.938219i −0.763320 + 0.174223i −0.586421 0.810006i \(-0.699464\pi\)
−0.176899 + 0.984229i \(0.556607\pi\)
\(30\) 0.331766 2.96965i 0.0605720 0.542181i
\(31\) −7.76502 + 4.48314i −1.39464 + 0.805195i −0.993824 0.110964i \(-0.964606\pi\)
−0.400815 + 0.916159i \(0.631273\pi\)
\(32\) 0.0373912 0.999301i 0.00660989 0.176653i
\(33\) 0.900815 4.76092i 0.156812 0.828771i
\(34\) 1.81769 2.27932i 0.311732 0.390899i
\(35\) 5.26901 2.69026i 0.890626 0.454737i
\(36\) 0.757058 + 0.949320i 0.126176 + 0.158220i
\(37\) −7.92532 + 4.18866i −1.30292 + 0.688611i −0.967359 0.253409i \(-0.918448\pi\)
−0.335556 + 0.942020i \(0.608924\pi\)
\(38\) 2.02670 + 4.64526i 0.328775 + 0.753560i
\(39\) −3.44584 + 0.258230i −0.551775 + 0.0413498i
\(40\) −2.23607 + 0.00210624i −0.353553 + 0.000333025i
\(41\) 2.60917 + 5.41799i 0.407483 + 0.846148i 0.999200 + 0.0400014i \(0.0127362\pi\)
−0.591716 + 0.806146i \(0.701549\pi\)
\(42\) 1.09291 3.36243i 0.168639 0.518835i
\(43\) 2.64003 + 7.54478i 0.402601 + 1.15057i 0.949608 + 0.313440i \(0.101481\pi\)
−0.547007 + 0.837128i \(0.684233\pi\)
\(44\) −3.61576 0.270964i −0.545097 0.0408494i
\(45\) 2.05629 1.77296i 0.306534 0.264297i
\(46\) 7.21292 + 4.91769i 1.06349 + 0.725073i
\(47\) −0.842452 0.621758i −0.122884 0.0906927i 0.530644 0.847595i \(-0.321950\pi\)
−0.653528 + 0.756902i \(0.726712\pi\)
\(48\) −0.944927 + 0.944927i −0.136388 + 0.136388i
\(49\) 6.74813 1.86085i 0.964018 0.265836i
\(50\) 0.196368 + 4.99614i 0.0277707 + 0.706561i
\(51\) −3.85236 + 0.580649i −0.539438 + 0.0813072i
\(52\) 0.480733 + 2.54073i 0.0666657 + 0.352337i
\(53\) −2.42579 1.28207i −0.333207 0.176105i 0.292294 0.956329i \(-0.405582\pi\)
−0.625501 + 0.780223i \(0.715105\pi\)
\(54\) 0.420849 5.61584i 0.0572703 0.764219i
\(55\) −0.295527 + 8.10238i −0.0398489 + 1.09252i
\(56\) −2.59192 0.530980i −0.346360 0.0709552i
\(57\) 2.23688 6.39262i 0.296281 0.846724i
\(58\) 1.68607 3.86452i 0.221392 0.507436i
\(59\) −0.214298 2.85961i −0.0278992 0.372289i −0.993626 0.112728i \(-0.964041\pi\)
0.965727 0.259561i \(-0.0835779\pi\)
\(60\) 2.19236 + 2.03037i 0.283033 + 0.262120i
\(61\) 1.41056 4.57293i 0.180604 0.585504i −0.819322 0.573334i \(-0.805650\pi\)
0.999926 0.0121703i \(-0.00387404\pi\)
\(62\) 1.00390 8.90990i 0.127496 1.13156i
\(63\) 2.80602 1.56418i 0.353526 0.197068i
\(64\) 0.781831 + 0.623490i 0.0977289 + 0.0779362i
\(65\) 5.63587 1.29194i 0.699044 0.160245i
\(66\) 3.29571 + 3.55193i 0.405673 + 0.437212i
\(67\) 1.32105 + 0.353975i 0.161392 + 0.0432449i 0.338610 0.940927i \(-0.390043\pi\)
−0.177218 + 0.984172i \(0.556710\pi\)
\(68\) 0.754549 + 2.81602i 0.0915025 + 0.341492i
\(69\) −2.59591 11.3734i −0.312511 1.36920i
\(70\) −0.964270 + 5.83697i −0.115252 + 0.697651i
\(71\) 3.04471 13.3397i 0.361340 1.58314i −0.388456 0.921467i \(-0.626992\pi\)
0.749797 0.661668i \(-0.230151\pi\)
\(72\) −1.21338 + 0.0454014i −0.142998 + 0.00535060i
\(73\) −5.79727 + 4.27858i −0.678519 + 0.500770i −0.877711 0.479190i \(-0.840930\pi\)
0.199192 + 0.979961i \(0.436168\pi\)
\(74\) 1.33603 8.86401i 0.155311 1.03042i
\(75\) 4.34880 5.07270i 0.502156 0.585745i
\(76\) −4.94106 1.12776i −0.566778 0.129363i
\(77\) −2.27534 + 9.31950i −0.259299 + 1.06206i
\(78\) 1.83844 2.92585i 0.208162 0.331288i
\(79\) 8.89360 + 5.13472i 1.00061 + 0.577701i 0.908428 0.418041i \(-0.137283\pi\)
0.0921799 + 0.995742i \(0.470617\pi\)
\(80\) 1.32613 1.80039i 0.148266 0.201289i
\(81\) −2.84642 + 2.64109i −0.316269 + 0.293455i
\(82\) −5.90868 1.11798i −0.652504 0.123460i
\(83\) 0.313175 + 2.77950i 0.0343754 + 0.305090i 0.999121 + 0.0419077i \(0.0133435\pi\)
−0.964746 + 0.263182i \(0.915228\pi\)
\(84\) 2.05642 + 2.87603i 0.224373 + 0.313801i
\(85\) 6.22750 1.92735i 0.675467 0.209051i
\(86\) −7.63822 2.35608i −0.823650 0.254062i
\(87\) −5.16426 + 2.25315i −0.553667 + 0.241563i
\(88\) 2.36513 2.74833i 0.252124 0.292973i
\(89\) 0.983880 + 2.50689i 0.104291 + 0.265729i 0.973489 0.228736i \(-0.0734592\pi\)
−0.869197 + 0.494465i \(0.835364\pi\)
\(90\) 0.205449 + 2.70731i 0.0216563 + 0.285375i
\(91\) 6.83972 0.152796i 0.716997 0.0160173i
\(92\) −8.23994 + 2.88328i −0.859073 + 0.300603i
\(93\) −9.08193 + 7.81564i −0.941753 + 0.810444i
\(94\) 1.00053 0.308623i 0.103197 0.0318320i
\(95\) −2.09639 + 11.1371i −0.215085 + 1.14264i
\(96\) −0.199169 1.32140i −0.0203276 0.134865i
\(97\) 8.88051 + 8.88051i 0.901679 + 0.901679i 0.995581 0.0939020i \(-0.0299340\pi\)
−0.0939020 + 0.995581i \(0.529934\pi\)
\(98\) −2.50994 + 6.53454i −0.253542 + 0.660088i
\(99\) 4.40267i 0.442485i
\(100\) −4.13649 2.80881i −0.413649 0.280881i
\(101\) 7.17213 10.5196i 0.713653 1.04674i −0.282513 0.959263i \(-0.591168\pi\)
0.996167 0.0874739i \(-0.0278794\pi\)
\(102\) 1.82042 3.44440i 0.180248 0.341046i
\(103\) 7.77754 + 9.03767i 0.766344 + 0.890508i 0.996581 0.0826268i \(-0.0263309\pi\)
−0.230237 + 0.973135i \(0.573950\pi\)
\(104\) −2.32974 1.12194i −0.228450 0.110016i
\(105\) 6.25002 4.84142i 0.609939 0.472475i
\(106\) 2.47203 1.19047i 0.240105 0.115628i
\(107\) −16.3854 7.14889i −1.58404 0.691109i −0.590760 0.806847i \(-0.701172\pi\)
−0.993280 + 0.115738i \(0.963077\pi\)
\(108\) 4.26859 + 3.67342i 0.410745 + 0.353475i
\(109\) −6.11017 2.39806i −0.585248 0.229693i 0.0541965 0.998530i \(-0.482740\pi\)
−0.639444 + 0.768837i \(0.720836\pi\)
\(110\) −6.34366 5.04914i −0.604845 0.481416i
\(111\) −9.36557 + 7.46880i −0.888941 + 0.708907i
\(112\) 1.96636 1.77015i 0.185804 0.167263i
\(113\) −0.202717 + 0.0228407i −0.0190700 + 0.00214868i −0.121494 0.992592i \(-0.538769\pi\)
0.102424 + 0.994741i \(0.467340\pi\)
\(114\) 3.81519 + 5.59585i 0.357325 + 0.524100i
\(115\) 7.14875 + 18.1644i 0.666624 + 1.69384i
\(116\) 2.10816 + 3.65144i 0.195738 + 0.339027i
\(117\) 3.03278 0.812631i 0.280381 0.0751277i
\(118\) 2.42809 + 1.52567i 0.223524 + 0.140449i
\(119\) 7.67694 0.748058i 0.703744 0.0685744i
\(120\) −2.93550 + 0.558292i −0.267974 + 0.0509648i
\(121\) −1.57399 1.46045i −0.143090 0.132768i
\(122\) 2.84175 + 3.85044i 0.257280 + 0.348602i
\(123\) 4.77196 + 6.46577i 0.430273 + 0.582999i
\(124\) 6.57275 + 6.09862i 0.590250 + 0.547672i
\(125\) −5.92152 + 9.48344i −0.529637 + 0.848224i
\(126\) −0.407738 + 3.18656i −0.0363242 + 0.283881i
\(127\) 3.37945 + 2.12345i 0.299878 + 0.188426i 0.673563 0.739130i \(-0.264763\pi\)
−0.373685 + 0.927556i \(0.621906\pi\)
\(128\) −0.965926 + 0.258819i −0.0853766 + 0.0228766i
\(129\) 5.34086 + 9.25065i 0.470237 + 0.814474i
\(130\) −2.30721 + 5.30179i −0.202355 + 0.464998i
\(131\) −6.93124 10.1663i −0.605585 0.888230i 0.393937 0.919137i \(-0.371113\pi\)
−0.999522 + 0.0309074i \(0.990160\pi\)
\(132\) −4.81493 + 0.542512i −0.419086 + 0.0472196i
\(133\) −5.08633 + 12.4069i −0.441041 + 1.07581i
\(134\) −1.06927 + 0.852718i −0.0923712 + 0.0736636i
\(135\) 7.84209 9.85270i 0.674940 0.847985i
\(136\) −2.71383 1.06510i −0.232709 0.0913314i
\(137\) −12.1391 10.4465i −1.03711 0.892507i −0.0428078 0.999083i \(-0.513630\pi\)
−0.994305 + 0.106576i \(0.966011\pi\)
\(138\) 10.6925 + 4.66511i 0.910209 + 0.397120i
\(139\) −4.55987 + 2.19592i −0.386763 + 0.186255i −0.617153 0.786843i \(-0.711714\pi\)
0.230390 + 0.973098i \(0.426000\pi\)
\(140\) −4.12381 4.24196i −0.348525 0.358511i
\(141\) −1.26064 0.607090i −0.106165 0.0511262i
\(142\) 8.92511 + 10.3712i 0.748979 + 0.870329i
\(143\) −4.38107 + 8.28939i −0.366363 + 0.693193i
\(144\) 0.683998 1.00324i 0.0569998 0.0836034i
\(145\) 7.97816 5.02350i 0.662550 0.417179i
\(146\) 7.20518i 0.596305i
\(147\) 8.39820 4.11986i 0.692672 0.339800i
\(148\) 6.33860 + 6.33860i 0.521029 + 0.521029i
\(149\) −1.39633 9.26406i −0.114392 0.758941i −0.970316 0.241840i \(-0.922249\pi\)
0.855924 0.517101i \(-0.172989\pi\)
\(150\) 1.49907 + 6.51131i 0.122399 + 0.531646i
\(151\) 1.62453 0.501101i 0.132202 0.0407790i −0.227948 0.973673i \(-0.573202\pi\)
0.360150 + 0.932894i \(0.382725\pi\)
\(152\) 3.84150 3.30588i 0.311587 0.268142i
\(153\) 3.34125 1.16915i 0.270124 0.0945205i
\(154\) −6.14730 7.36484i −0.495364 0.593476i
\(155\) 13.0635 15.2090i 1.04929 1.22162i
\(156\) 1.26243 + 3.21663i 0.101076 + 0.257537i
\(157\) −0.905279 + 1.05195i −0.0722492 + 0.0839550i −0.792933 0.609309i \(-0.791447\pi\)
0.720684 + 0.693264i \(0.243828\pi\)
\(158\) −9.41258 + 4.10667i −0.748825 + 0.326709i
\(159\) −3.50365 1.08073i −0.277857 0.0857076i
\(160\) 0.661105 + 2.13610i 0.0522649 + 0.168874i
\(161\) 3.95165 + 22.7564i 0.311433 + 1.79346i
\(162\) −0.434755 3.85856i −0.0341576 0.303157i
\(163\) −2.83517 0.536443i −0.222068 0.0420175i 0.0736869 0.997281i \(-0.476523\pi\)
−0.295755 + 0.955264i \(0.595571\pi\)
\(164\) 4.40822 4.09023i 0.344224 0.319393i
\(165\) 1.62491 + 10.7121i 0.126499 + 0.833936i
\(166\) −2.42235 1.39855i −0.188011 0.108548i
\(167\) −12.5132 + 19.9147i −0.968302 + 1.54104i −0.133099 + 0.991103i \(0.542493\pi\)
−0.835203 + 0.549942i \(0.814650\pi\)
\(168\) −3.53519 0.0532587i −0.272746 0.00410900i
\(169\) −6.15527 1.40490i −0.473482 0.108069i
\(170\) −2.14727 + 6.15513i −0.164688 + 0.472077i
\(171\) −0.917184 + 6.08512i −0.0701389 + 0.465341i
\(172\) 6.43142 4.74661i 0.490391 0.361925i
\(173\) 5.82228 0.217854i 0.442659 0.0165631i 0.184867 0.982764i \(-0.440815\pi\)
0.257792 + 0.966200i \(0.417005\pi\)
\(174\) 1.25377 5.49312i 0.0950479 0.416432i
\(175\) −9.12487 + 9.57793i −0.689775 + 0.724024i
\(176\) 0.806839 + 3.53499i 0.0608178 + 0.266460i
\(177\) −0.991817 3.70151i −0.0745496 0.278223i
\(178\) −2.60128 0.697012i −0.194974 0.0522432i
\(179\) 15.3615 + 16.5557i 1.14817 + 1.23743i 0.967220 + 0.253939i \(0.0817262\pi\)
0.180948 + 0.983493i \(0.442083\pi\)
\(180\) −2.30029 1.44235i −0.171454 0.107506i
\(181\) −11.0682 8.82662i −0.822695 0.656077i 0.118870 0.992910i \(-0.462073\pi\)
−0.941565 + 0.336832i \(0.890644\pi\)
\(182\) −3.93862 + 5.59395i −0.291950 + 0.414651i
\(183\) 0.716019 6.35485i 0.0529297 0.469764i
\(184\) 2.57316 8.34198i 0.189696 0.614979i
\(185\) 13.6198 14.7064i 1.00135 1.08124i
\(186\) −0.895408 11.9484i −0.0656545 0.876098i
\(187\) −4.22717 + 9.68878i −0.309122 + 0.708514i
\(188\) −0.345818 + 0.988291i −0.0252214 + 0.0720785i
\(189\) 11.4387 9.54772i 0.832046 0.694494i
\(190\) −7.71600 8.30018i −0.559778 0.602158i
\(191\) −0.533362 + 7.11722i −0.0385927 + 0.514984i 0.944090 + 0.329688i \(0.106944\pi\)
−0.982683 + 0.185296i \(0.940676\pi\)
\(192\) 1.18147 + 0.624424i 0.0852651 + 0.0450639i
\(193\) −3.89493 20.5852i −0.280364 1.48176i −0.785578 0.618763i \(-0.787634\pi\)
0.505214 0.862994i \(-0.331413\pi\)
\(194\) −12.4187 + 1.87181i −0.891608 + 0.134388i
\(195\) 7.07911 3.09653i 0.506946 0.221747i
\(196\) −3.76723 5.89983i −0.269088 0.421417i
\(197\) 12.0686 12.0686i 0.859852 0.859852i −0.131468 0.991320i \(-0.541969\pi\)
0.991320 + 0.131468i \(0.0419692\pi\)
\(198\) −3.54238 2.61439i −0.251746 0.185797i
\(199\) −15.9982 10.9074i −1.13408 0.773204i −0.157324 0.987547i \(-0.550287\pi\)
−0.976759 + 0.214343i \(0.931239\pi\)
\(200\) 4.71630 1.66028i 0.333493 0.117400i
\(201\) 1.82252 + 0.136579i 0.128551 + 0.00963355i
\(202\) 4.20508 + 12.0174i 0.295868 + 0.845542i
\(203\) 10.4444 3.91861i 0.733054 0.275033i
\(204\) 1.69035 + 3.51006i 0.118348 + 0.245753i
\(205\) −9.51715 9.49924i −0.664707 0.663456i
\(206\) −11.8901 + 0.891044i −0.828426 + 0.0620819i
\(207\) 4.23885 + 9.71555i 0.294620 + 0.675277i
\(208\) 2.28616 1.20827i 0.158517 0.0837785i
\(209\) −11.4576 14.3674i −0.792538 0.993811i
\(210\) 0.184013 + 7.90368i 0.0126981 + 0.545406i
\(211\) 15.5819 19.5390i 1.07270 1.34512i 0.137701 0.990474i \(-0.456029\pi\)
0.934999 0.354649i \(-0.115400\pi\)
\(212\) −0.510094 + 2.69591i −0.0350334 + 0.185156i
\(213\) 0.683687 18.2719i 0.0468455 1.25197i
\(214\) 15.4820 8.93853i 1.05833 0.611025i
\(215\) −11.1572 13.9637i −0.760915 0.952315i
\(216\) −5.49039 + 1.25315i −0.373574 + 0.0852658i
\(217\) 18.7677 14.5097i 1.27404 0.984982i
\(218\) 5.55782 3.49221i 0.376423 0.236522i
\(219\) −6.54903 + 7.05818i −0.442543 + 0.476948i
\(220\) 7.82952 2.10582i 0.527866 0.141974i
\(221\) 7.45436 + 1.12356i 0.501435 + 0.0755791i
\(222\) −0.447910 11.9706i −0.0300617 0.803417i
\(223\) 5.15894 + 8.21041i 0.345468 + 0.549810i 0.973589 0.228306i \(-0.0733186\pi\)
−0.628121 + 0.778116i \(0.716176\pi\)
\(224\) 0.256593 + 2.63328i 0.0171443 + 0.175943i
\(225\) −3.02566 + 5.26346i −0.201710 + 0.350898i
\(226\) 0.102000 0.176669i 0.00678493 0.0117518i
\(227\) −6.52999 + 24.3703i −0.433411 + 1.61751i 0.311430 + 0.950269i \(0.399192\pi\)
−0.744841 + 0.667242i \(0.767475\pi\)
\(228\) −6.76795 0.253239i −0.448218 0.0167711i
\(229\) −12.5716 + 8.57119i −0.830756 + 0.566400i −0.902335 0.431035i \(-0.858149\pi\)
0.0715788 + 0.997435i \(0.477196\pi\)
\(230\) −18.8601 5.03451i −1.24360 0.331966i
\(231\) −0.672266 + 12.8021i −0.0442318 + 0.842315i
\(232\) −4.18981 0.472078i −0.275074 0.0309934i
\(233\) −11.7535 22.2387i −0.769998 1.45691i −0.886013 0.463660i \(-0.846536\pi\)
0.116015 0.993248i \(-0.462988\pi\)
\(234\) −1.14708 + 2.92272i −0.0749873 + 0.191064i
\(235\) 2.23790 + 0.687994i 0.145985 + 0.0448798i
\(236\) −2.66940 + 1.04766i −0.173763 + 0.0681969i
\(237\) 12.9532 + 4.53253i 0.841403 + 0.294420i
\(238\) −3.95684 + 6.62106i −0.256484 + 0.429180i
\(239\) 7.71077 16.0116i 0.498768 1.03570i −0.487891 0.872905i \(-0.662234\pi\)
0.986659 0.162799i \(-0.0520521\pi\)
\(240\) 1.29396 2.69342i 0.0835248 0.173860i
\(241\) −3.30591 10.7175i −0.212952 0.690375i −0.997523 0.0703359i \(-0.977593\pi\)
0.784571 0.620039i \(-0.212883\pi\)
\(242\) 2.10974 0.399183i 0.135619 0.0256605i
\(243\) 6.95116 9.41849i 0.445917 0.604197i
\(244\) −4.78554 −0.306363
\(245\) −12.8598 + 8.92328i −0.821584 + 0.570087i
\(246\) −8.03603 −0.512358
\(247\) −7.78216 + 10.5444i −0.495167 + 0.670927i
\(248\) −8.80996 + 1.66693i −0.559433 + 0.105850i
\(249\) 1.10175 + 3.57177i 0.0698203 + 0.226352i
\(250\) −4.11403 10.3959i −0.260194 0.657495i
\(251\) 5.17273 10.7413i 0.326500 0.677984i −0.671513 0.740993i \(-0.734355\pi\)
0.998013 + 0.0630084i \(0.0200695\pi\)
\(252\) −2.32178 2.22031i −0.146258 0.139866i
\(253\) −29.8772 10.4545i −1.87836 0.657268i
\(254\) −3.71531 + 1.45815i −0.233119 + 0.0914926i
\(255\) 7.69807 4.07783i 0.482072 0.255364i
\(256\) 0.365341 0.930874i 0.0228338 0.0581796i
\(257\) −9.45146 17.8830i −0.589566 1.11551i −0.980762 0.195206i \(-0.937462\pi\)
0.391196 0.920307i \(-0.372061\pi\)
\(258\) −10.6146 1.19597i −0.660834 0.0744581i
\(259\) 19.2925 13.7945i 1.19878 0.857148i
\(260\) −2.89574 5.00468i −0.179586 0.310377i
\(261\) 4.22998 2.88395i 0.261829 0.178512i
\(262\) 12.2957 + 0.460071i 0.759628 + 0.0284233i
\(263\) −2.66495 + 9.94573i −0.164328 + 0.613280i 0.833797 + 0.552071i \(0.186162\pi\)
−0.998125 + 0.0612091i \(0.980504\pi\)
\(264\) 2.42270 4.19624i 0.149107 0.258260i
\(265\) 6.06753 + 0.908689i 0.372725 + 0.0558203i
\(266\) −6.96219 11.4599i −0.426879 0.702652i
\(267\) 1.91467 + 3.04719i 0.117176 + 0.186485i
\(268\) −0.0511382 1.36670i −0.00312376 0.0834843i
\(269\) −2.33834 0.352449i −0.142571 0.0214892i 0.0773688 0.997003i \(-0.475348\pi\)
−0.219940 + 0.975513i \(0.570586\pi\)
\(270\) 3.27067 + 12.1605i 0.199046 + 0.740062i
\(271\) −16.8210 + 18.1287i −1.02180 + 1.10124i −0.0269780 + 0.999636i \(0.508588\pi\)
−0.994825 + 0.101605i \(0.967602\pi\)
\(272\) 2.46850 1.55106i 0.149675 0.0940469i
\(273\) 8.94280 1.89988i 0.541243 0.114986i
\(274\) 15.6137 3.56372i 0.943258 0.215292i
\(275\) −5.37639 17.3140i −0.324209 1.04407i
\(276\) −10.1030 + 5.83296i −0.608128 + 0.351103i
\(277\) 0.282434 7.54821i 0.0169698 0.453528i −0.964747 0.263180i \(-0.915229\pi\)
0.981717 0.190348i \(-0.0609617\pi\)
\(278\) 0.940912 4.97284i 0.0564322 0.298251i
\(279\) 6.78799 8.51187i 0.406386 0.509592i
\(280\) 5.86187 0.799046i 0.350314 0.0477521i
\(281\) −6.48235 8.12860i −0.386704 0.484912i 0.549935 0.835208i \(-0.314653\pi\)
−0.936639 + 0.350296i \(0.886081\pi\)
\(282\) 1.23705 0.653802i 0.0736655 0.0389333i
\(283\) 0.732868 + 1.67975i 0.0435645 + 0.0998508i 0.936984 0.349373i \(-0.113605\pi\)
−0.893419 + 0.449224i \(0.851701\pi\)
\(284\) −13.6445 + 1.02252i −0.809654 + 0.0606752i
\(285\) 0.0142649 + 15.1442i 0.000844978 + 0.897064i
\(286\) −4.06806 8.44740i −0.240549 0.499505i
\(287\) −8.76353 13.2792i −0.517295 0.783846i
\(288\) 0.401034 + 1.14609i 0.0236311 + 0.0675339i
\(289\) −8.47695 0.635259i −0.498644 0.0373682i
\(290\) −0.695697 + 9.40227i −0.0408527 + 0.552120i
\(291\) 13.8667 + 9.45413i 0.812878 + 0.554211i
\(292\) 5.79727 + 4.27858i 0.339260 + 0.250385i
\(293\) −1.46517 + 1.46517i −0.0855964 + 0.0855964i −0.748609 0.663012i \(-0.769278\pi\)
0.663012 + 0.748609i \(0.269278\pi\)
\(294\) −1.67219 + 9.20362i −0.0975242 + 0.536766i
\(295\) 2.56972 + 5.87477i 0.149615 + 0.342042i
\(296\) −8.86401 + 1.33603i −0.515210 + 0.0776554i
\(297\) 3.79624 + 20.0636i 0.220280 + 1.16421i
\(298\) 8.28301 + 4.37770i 0.479822 + 0.253593i
\(299\) −1.68694 + 22.5106i −0.0975580 + 1.30182i
\(300\) −6.12916 2.66039i −0.353867 0.153598i
\(301\) −9.59921 18.8444i −0.553289 1.08617i
\(302\) −0.561494 + 1.60466i −0.0323103 + 0.0923376i
\(303\) 6.80376 15.5944i 0.390866 0.895873i
\(304\) 0.378742 + 5.05396i 0.0217223 + 0.289864i
\(305\) 0.410188 + 10.6929i 0.0234873 + 0.612276i
\(306\) −1.04340 + 3.38263i −0.0596474 + 0.193372i
\(307\) 2.00117 17.7609i 0.114213 1.01367i −0.797636 0.603139i \(-0.793916\pi\)
0.911849 0.410527i \(-0.134655\pi\)
\(308\) 9.57612 0.572718i 0.545650 0.0326336i
\(309\) 12.4575 + 9.93450i 0.708681 + 0.565154i
\(310\) 4.47978 + 19.5423i 0.254434 + 1.10993i
\(311\) 3.58266 + 3.86119i 0.203154 + 0.218948i 0.826408 0.563071i \(-0.190380\pi\)
−0.623254 + 0.782019i \(0.714190\pi\)
\(312\) −3.33775 0.894349i −0.188963 0.0506325i
\(313\) −0.594820 2.21990i −0.0336212 0.125476i 0.947076 0.321011i \(-0.104023\pi\)
−0.980697 + 0.195534i \(0.937356\pi\)
\(314\) −0.308826 1.35306i −0.0174281 0.0763574i
\(315\) −4.76210 + 5.37815i −0.268314 + 0.303024i
\(316\) 2.28517 10.0120i 0.128551 0.563217i
\(317\) 17.3187 0.648019i 0.972713 0.0363964i 0.453693 0.891158i \(-0.350106\pi\)
0.519021 + 0.854762i \(0.326297\pi\)
\(318\) 2.95009 2.17727i 0.165433 0.122095i
\(319\) −2.27855 + 15.1172i −0.127574 + 0.846401i
\(320\) −2.11128 0.736538i −0.118024 0.0411737i
\(321\) −23.2907 5.31594i −1.29996 0.296707i
\(322\) −20.6563 10.3337i −1.15113 0.575876i
\(323\) −7.86098 + 12.5107i −0.437397 + 0.696113i
\(324\) 3.36276 + 1.94149i 0.186820 + 0.107860i
\(325\) −10.9344 + 6.89929i −0.606530 + 0.382704i
\(326\) 2.11520 1.96262i 0.117150 0.108700i
\(327\) −8.61861 1.63073i −0.476610 0.0901796i
\(328\) 0.673300 + 5.97570i 0.0371768 + 0.329953i
\(329\) 2.42942 + 1.33119i 0.133938 + 0.0733907i
\(330\) −9.58383 5.05366i −0.527573 0.278195i
\(331\) 27.7696 + 8.56580i 1.52636 + 0.470819i 0.940557 0.339636i \(-0.110304\pi\)
0.585801 + 0.810455i \(0.300780\pi\)
\(332\) 2.56371 1.11853i 0.140702 0.0613876i
\(333\) 7.09981 8.25013i 0.389067 0.452104i
\(334\) −8.59270 21.8939i −0.470172 1.19798i
\(335\) −3.04940 + 0.231409i −0.166606 + 0.0126432i
\(336\) 2.14212 2.81278i 0.116862 0.153450i
\(337\) 12.3082 4.30681i 0.670468 0.234607i 0.0264877 0.999649i \(-0.491568\pi\)
0.643980 + 0.765042i \(0.277282\pi\)
\(338\) 4.78550 4.11826i 0.260297 0.224004i
\(339\) −0.260499 + 0.0803534i −0.0141484 + 0.00436420i
\(340\) −3.67731 5.38273i −0.199430 0.291920i
\(341\) 4.84549 + 32.1477i 0.262398 + 1.74090i
\(342\) −4.35143 4.35143i −0.235299 0.235299i
\(343\) −17.0322 + 7.27360i −0.919651 + 0.392738i
\(344\) 7.99334i 0.430972i
\(345\) 13.8993 + 22.0744i 0.748312 + 1.18844i
\(346\) −3.28210 + 4.81396i −0.176447 + 0.258800i
\(347\) 11.9025 22.5207i 0.638962 1.20897i −0.325698 0.945474i \(-0.605599\pi\)
0.964659 0.263500i \(-0.0848770\pi\)
\(348\) 3.67524 + 4.27070i 0.197013 + 0.228934i
\(349\) 28.8925 + 13.9139i 1.54658 + 0.744794i 0.995946 0.0899525i \(-0.0286715\pi\)
0.550635 + 0.834746i \(0.314386\pi\)
\(350\) −2.28785 13.0294i −0.122291 0.696452i
\(351\) 13.1201 6.31832i 0.700301 0.337247i
\(352\) −3.32337 1.44997i −0.177136 0.0772836i
\(353\) −14.9870 12.8974i −0.797679 0.686459i 0.155843 0.987782i \(-0.450191\pi\)
−0.953522 + 0.301323i \(0.902572\pi\)
\(354\) 3.56719 + 1.40002i 0.189594 + 0.0744102i
\(355\) 3.45426 + 30.4000i 0.183333 + 1.61347i
\(356\) 2.10551 1.67909i 0.111592 0.0889914i
\(357\) 9.89422 2.88948i 0.523658 0.152927i
\(358\) −22.4426 + 2.52868i −1.18613 + 0.133645i
\(359\) −1.43106 2.09898i −0.0755286 0.110780i 0.786616 0.617443i \(-0.211831\pi\)
−0.862144 + 0.506663i \(0.830879\pi\)
\(360\) 2.52647 0.994315i 0.133157 0.0524050i
\(361\) −3.34296 5.79018i −0.175945 0.304746i
\(362\) 13.6744 3.66405i 0.718711 0.192578i
\(363\) −2.42952 1.52657i −0.127517 0.0801242i
\(364\) −2.16205 6.49081i −0.113322 0.340211i
\(365\) 9.06326 13.3203i 0.474393 0.697216i
\(366\) 4.68791 + 4.34974i 0.245041 + 0.227365i
\(367\) −7.04693 9.54825i −0.367847 0.498415i 0.581108 0.813826i \(-0.302619\pi\)
−0.948955 + 0.315412i \(0.897857\pi\)
\(368\) 5.18395 + 7.02400i 0.270232 + 0.366151i
\(369\) −5.35257 4.96646i −0.278644 0.258544i
\(370\) 3.74504 + 19.6914i 0.194695 + 1.02371i
\(371\) 6.81500 + 2.50052i 0.353817 + 0.129821i
\(372\) 10.1454 + 6.37475i 0.526012 + 0.330515i
\(373\) 21.6265 5.79481i 1.11978 0.300044i 0.348985 0.937128i \(-0.386527\pi\)
0.770794 + 0.637085i \(0.219860\pi\)
\(374\) −5.28539 9.15457i −0.273301 0.473372i
\(375\) −5.41909 + 13.9232i −0.279841 + 0.718990i
\(376\) −0.589823 0.865111i −0.0304178 0.0446147i
\(377\) 10.8341 1.22071i 0.557983 0.0628695i
\(378\) 0.889520 + 14.8732i 0.0457520 + 0.764995i
\(379\) −21.6549 + 17.2692i −1.11234 + 0.887059i −0.994371 0.105959i \(-0.966209\pi\)
−0.117966 + 0.993018i \(0.537637\pi\)
\(380\) 11.2602 1.27946i 0.577637 0.0656351i
\(381\) 4.96487 + 1.94857i 0.254358 + 0.0998283i
\(382\) −5.40978 4.65549i −0.276789 0.238196i
\(383\) −15.9105 6.94166i −0.812986 0.354702i −0.0480796 0.998844i \(-0.515310\pi\)
−0.764907 + 0.644141i \(0.777215\pi\)
\(384\) −1.20399 + 0.579811i −0.0614409 + 0.0295884i
\(385\) −2.10050 21.3480i −0.107052 1.08800i
\(386\) 18.8757 + 9.09007i 0.960749 + 0.462672i
\(387\) −6.33092 7.35666i −0.321819 0.373960i
\(388\) 5.86840 11.1036i 0.297923 0.563697i
\(389\) −0.690913 + 1.01338i −0.0350307 + 0.0513806i −0.843355 0.537357i \(-0.819423\pi\)
0.808324 + 0.588738i \(0.200375\pi\)
\(390\) −1.71226 + 7.53462i −0.0867038 + 0.381530i
\(391\) 25.4505i 1.28709i
\(392\) 6.98405 + 0.472338i 0.352748 + 0.0238567i
\(393\) −11.6266 11.6266i −0.586486 0.586486i
\(394\) 2.54379 + 16.8769i 0.128154 + 0.850248i
\(395\) −22.5669 4.24787i −1.13546 0.213733i
\(396\) 4.20707 1.29771i 0.211413 0.0652123i
\(397\) −1.97877 + 1.70287i −0.0993116 + 0.0854645i −0.700542 0.713611i \(-0.747058\pi\)
0.601230 + 0.799076i \(0.294677\pi\)
\(398\) 18.2761 6.39509i 0.916099 0.320557i
\(399\) −3.59616 + 17.5543i −0.180033 + 0.878813i
\(400\) −1.46477 + 4.78063i −0.0732386 + 0.239032i
\(401\) 7.57359 + 19.2972i 0.378207 + 0.963655i 0.985576 + 0.169235i \(0.0541298\pi\)
−0.607369 + 0.794420i \(0.707775\pi\)
\(402\) −1.19214 + 1.38529i −0.0594586 + 0.0690922i
\(403\) 21.2506 9.27155i 1.05857 0.461849i
\(404\) −12.1662 3.75279i −0.605293 0.186708i
\(405\) 4.04987 7.68024i 0.201240 0.381634i
\(406\) −3.04920 + 10.7305i −0.151329 + 0.532546i
\(407\) 3.63919 + 32.2987i 0.180388 + 1.60099i
\(408\) −3.82795 0.724287i −0.189512 0.0358576i
\(409\) −24.9332 + 23.1347i −1.23287 + 1.14394i −0.248348 + 0.968671i \(0.579888\pi\)
−0.984521 + 0.175265i \(0.943922\pi\)
\(410\) 13.2945 2.01664i 0.656571 0.0995947i
\(411\) −18.5343 10.7008i −0.914231 0.527832i
\(412\) 6.34368 10.0959i 0.312531 0.497390i
\(413\) 1.57666 + 7.42139i 0.0775822 + 0.365183i
\(414\) −10.3342 2.35872i −0.507899 0.115925i
\(415\) −2.71903 5.63254i −0.133472 0.276490i
\(416\) −0.385396 + 2.55693i −0.0188956 + 0.125364i
\(417\) −5.44170 + 4.01616i −0.266481 + 0.196672i
\(418\) 18.3637 0.687121i 0.898197 0.0336082i
\(419\) −3.46721 + 15.1908i −0.169384 + 0.742121i 0.816861 + 0.576834i \(0.195712\pi\)
−0.986246 + 0.165287i \(0.947145\pi\)
\(420\) −6.46856 4.54531i −0.315633 0.221788i
\(421\) −0.707590 3.10016i −0.0344858 0.151092i 0.954754 0.297398i \(-0.0961188\pi\)
−0.989239 + 0.146306i \(0.953262\pi\)
\(422\) 6.46824 + 24.1398i 0.314869 + 1.17511i
\(423\) 1.22803 + 0.329050i 0.0597090 + 0.0159990i
\(424\) −1.86622 2.01131i −0.0906316 0.0976777i
\(425\) −11.7121 + 8.67806i −0.568121 + 0.420948i
\(426\) 14.2956 + 11.4003i 0.692622 + 0.552348i
\(427\) −2.07546 + 12.4901i −0.100438 + 0.604438i
\(428\) −2.00160 + 17.7646i −0.0967507 + 0.858687i
\(429\) −3.69307 + 11.9727i −0.178303 + 0.578045i
\(430\) 17.8605 0.685141i 0.861311 0.0330404i
\(431\) −1.78467 23.8148i −0.0859646 1.14712i −0.858731 0.512427i \(-0.828746\pi\)
0.772766 0.634691i \(-0.218873\pi\)
\(432\) 2.25203 5.16170i 0.108351 0.248343i
\(433\) 0.386885 1.10565i 0.0185925 0.0531343i −0.934213 0.356715i \(-0.883897\pi\)
0.952806 + 0.303581i \(0.0981823\pi\)
\(434\) 0.529817 + 23.7166i 0.0254320 + 1.13843i
\(435\) 9.22755 8.57810i 0.442427 0.411288i
\(436\) −0.490521 + 6.54555i −0.0234917 + 0.313475i
\(437\) −39.1167 20.6738i −1.87121 0.988961i
\(438\) −1.79005 9.46063i −0.0855318 0.452046i
\(439\) 9.69213 1.46085i 0.462580 0.0697228i 0.0863823 0.996262i \(-0.472469\pi\)
0.376198 + 0.926539i \(0.377231\pi\)
\(440\) −2.95499 + 7.55009i −0.140874 + 0.359936i
\(441\) −6.80186 + 5.09682i −0.323898 + 0.242706i
\(442\) −5.33057 + 5.33057i −0.253549 + 0.253549i
\(443\) −17.6450 13.0226i −0.838339 0.618722i 0.0877013 0.996147i \(-0.472048\pi\)
−0.926040 + 0.377424i \(0.876810\pi\)
\(444\) 9.89753 + 6.74802i 0.469716 + 0.320247i
\(445\) −3.93226 4.56068i −0.186407 0.216197i
\(446\) −9.66956 0.724633i −0.457867 0.0343124i
\(447\) −4.13498 11.8171i −0.195578 0.558929i
\(448\) −2.27110 1.35724i −0.107299 0.0641236i
\(449\) 4.42413 + 9.18680i 0.208788 + 0.433552i 0.978895 0.204362i \(-0.0655119\pi\)
−0.770108 + 0.637914i \(0.779798\pi\)
\(450\) −2.43828 5.55999i −0.114941 0.262100i
\(451\) 21.7434 1.62945i 1.02386 0.0767276i
\(452\) 0.0815779 + 0.186979i 0.00383710 + 0.00879473i
\(453\) 2.00857 1.06156i 0.0943707 0.0498764i
\(454\) −15.7306 19.7256i −0.738274 0.925767i
\(455\) −14.3179 + 5.38729i −0.671234 + 0.252560i
\(456\) 4.22270 5.29510i 0.197746 0.247966i
\(457\) 0.411454 2.17459i 0.0192470 0.101723i −0.971626 0.236524i \(-0.923992\pi\)
0.990873 + 0.134801i \(0.0430395\pi\)
\(458\) 0.568925 15.2048i 0.0265841 0.710476i
\(459\) 14.2185 8.20904i 0.663661 0.383165i
\(460\) 15.2503 12.1852i 0.711047 0.568138i
\(461\) 18.2392 4.16298i 0.849484 0.193889i 0.224449 0.974486i \(-0.427942\pi\)
0.625035 + 0.780597i \(0.285085\pi\)
\(462\) −9.90132 8.14303i −0.460651 0.378848i
\(463\) −8.82811 + 5.54707i −0.410277 + 0.257794i −0.721320 0.692602i \(-0.756464\pi\)
0.311043 + 0.950396i \(0.399322\pi\)
\(464\) 2.86782 3.09078i 0.133135 0.143486i
\(465\) 13.3743 23.2154i 0.620218 1.07659i
\(466\) 24.8727 + 3.74896i 1.15221 + 0.173667i
\(467\) −0.946484 25.2953i −0.0437981 1.17053i −0.831879 0.554957i \(-0.812735\pi\)
0.788081 0.615571i \(-0.211075\pi\)
\(468\) −1.67046 2.65851i −0.0772168 0.122890i
\(469\) −3.58921 0.459258i −0.165734 0.0212066i
\(470\) −1.88247 + 1.39207i −0.0868319 + 0.0642113i
\(471\) −0.927314 + 1.60616i −0.0427284 + 0.0740077i
\(472\) 0.742196 2.76991i 0.0341623 0.127496i
\(473\) 28.9628 + 1.08371i 1.33171 + 0.0498291i
\(474\) −11.3388 + 7.73064i −0.520807 + 0.355080i
\(475\) −3.82403 25.0504i −0.175458 1.14939i
\(476\) −2.97764 7.11538i −0.136480 0.326133i
\(477\) 3.31058 + 0.373012i 0.151581 + 0.0170791i
\(478\) 8.30407 + 15.7121i 0.379819 + 0.718654i
\(479\) −0.898181 + 2.28853i −0.0410389 + 0.104566i −0.949924 0.312482i \(-0.898840\pi\)
0.908885 + 0.417047i \(0.136935\pi\)
\(480\) 1.39874 + 2.64053i 0.0638436 + 0.120523i
\(481\) 21.5773 8.46845i 0.983838 0.386128i
\(482\) 10.5864 + 3.70434i 0.482197 + 0.168728i
\(483\) 10.8422 + 28.8981i 0.493338 + 1.31491i
\(484\) −0.931621 + 1.93453i −0.0423464 + 0.0879332i
\(485\) −25.3131 12.1608i −1.14941 0.552192i
\(486\) 3.45036 + 11.1858i 0.156511 + 0.507397i
\(487\) −34.2297 + 6.47661i −1.55110 + 0.293483i −0.889697 0.456551i \(-0.849085\pi\)
−0.661399 + 0.750034i \(0.730037\pi\)
\(488\) 2.84175 3.85044i 0.128640 0.174301i
\(489\) −3.85594 −0.174372
\(490\) 0.456774 15.6458i 0.0206349 0.706806i
\(491\) 2.82015 0.127272 0.0636359 0.997973i \(-0.479730\pi\)
0.0636359 + 0.997973i \(0.479730\pi\)
\(492\) 4.77196 6.46577i 0.215136 0.291499i
\(493\) 12.0778 2.28524i 0.543955 0.102922i
\(494\) −3.86284 12.5230i −0.173797 0.563437i
\(495\) −3.26024 9.28914i −0.146537 0.417516i
\(496\) 3.89032 8.07834i 0.174681 0.362728i
\(497\) −3.24881 + 36.0552i −0.145729 + 1.61730i
\(498\) −3.52808 1.23453i −0.158097 0.0553205i
\(499\) −5.12363 + 2.01088i −0.229365 + 0.0900193i −0.477241 0.878773i \(-0.658363\pi\)
0.247875 + 0.968792i \(0.420268\pi\)
\(500\) 10.8075 + 2.86316i 0.483327 + 0.128044i
\(501\) −11.4827 + 29.2574i −0.513008 + 1.30712i
\(502\) 5.57075 + 10.5404i 0.248635 + 0.470440i
\(503\) 30.1095 + 3.39252i 1.34252 + 0.151265i 0.753815 0.657086i \(-0.228211\pi\)
0.588700 + 0.808351i \(0.299640\pi\)
\(504\) 3.16517 0.549632i 0.140988 0.0244826i
\(505\) −7.34251 + 27.5062i −0.326737 + 1.22401i
\(506\) 26.1533 17.8311i 1.16266 0.792687i
\(507\) −8.43109 0.315469i −0.374438 0.0140105i
\(508\) 1.03300 3.85521i 0.0458320 0.171047i
\(509\) −12.8376 + 22.2354i −0.569017 + 0.985566i 0.427646 + 0.903946i \(0.359343\pi\)
−0.996663 + 0.0816204i \(0.973990\pi\)
\(510\) −1.29026 + 8.61535i −0.0571335 + 0.381494i
\(511\) 13.6812 13.2751i 0.605220 0.587255i
\(512\) 0.532032 + 0.846724i 0.0235127 + 0.0374203i
\(513\) 1.06721 + 28.5217i 0.0471183 + 1.25926i
\(514\) 20.0011 + 3.01468i 0.882212 + 0.132972i
\(515\) −23.1023 13.3091i −1.01801 0.586470i
\(516\) 7.26542 7.83026i 0.319842 0.344708i
\(517\) −3.21458 + 2.01986i −0.141377 + 0.0888332i
\(518\) −0.357261 + 23.7142i −0.0156971 + 1.04194i
\(519\) 7.59071 1.73253i 0.333195 0.0760496i
\(520\) 5.74631 + 0.641973i 0.251992 + 0.0281524i
\(521\) −14.1333 + 8.15989i −0.619193 + 0.357491i −0.776555 0.630050i \(-0.783034\pi\)
0.157362 + 0.987541i \(0.449701\pi\)
\(522\) −0.191427 + 5.11598i −0.00837851 + 0.223920i
\(523\) 3.38431 17.8865i 0.147986 0.782123i −0.827399 0.561614i \(-0.810181\pi\)
0.975385 0.220509i \(-0.0707718\pi\)
\(524\) −7.67158 + 9.61986i −0.335135 + 0.420245i
\(525\) −9.60171 + 14.8431i −0.419053 + 0.647806i
\(526\) −6.41981 8.05019i −0.279917 0.351005i
\(527\) 23.1107 12.2143i 1.00672 0.532065i
\(528\) 1.93764 + 4.44111i 0.0843248 + 0.193274i
\(529\) −53.0611 + 3.97638i −2.30700 + 0.172886i
\(530\) −4.33415 + 4.34232i −0.188263 + 0.188618i
\(531\) 1.51076 + 3.13712i 0.0655614 + 0.136140i
\(532\) 13.3549 + 1.20337i 0.579008 + 0.0521725i
\(533\) −5.13578 14.6772i −0.222455 0.635741i
\(534\) −3.58873 0.268938i −0.155300 0.0116381i
\(535\) 39.8653 + 2.94973i 1.72353 + 0.127528i
\(536\) 1.13001 + 0.770426i 0.0488089 + 0.0332773i
\(537\) 24.2832 + 17.9218i 1.04790 + 0.773382i
\(538\) 1.67214 1.67214i 0.0720909 0.0720909i
\(539\) 2.65833 25.2417i 0.114502 1.08724i
\(540\) −11.7265 4.58956i −0.504627 0.197503i
\(541\) −12.5965 + 1.89862i −0.541567 + 0.0816281i −0.414129 0.910218i \(-0.635914\pi\)
−0.127438 + 0.991846i \(0.540676\pi\)
\(542\) −4.59768 24.2993i −0.197487 1.04375i
\(543\) −16.7258 8.83985i −0.717773 0.379354i
\(544\) −0.217865 + 2.90720i −0.00934087 + 0.124645i
\(545\) 14.6676 + 0.534987i 0.628290 + 0.0229163i
\(546\) −3.78178 + 8.32354i −0.161845 + 0.356215i
\(547\) 3.31634 9.47755i 0.141796 0.405231i −0.850982 0.525195i \(-0.823992\pi\)
0.992778 + 0.119964i \(0.0382781\pi\)
\(548\) −6.40436 + 14.6790i −0.273581 + 0.627054i
\(549\) 0.434237 + 5.79448i 0.0185328 + 0.247303i
\(550\) 17.1234 + 5.95555i 0.730144 + 0.253946i
\(551\) −6.29858 + 20.4195i −0.268328 + 0.869899i
\(552\) 1.30617 11.5926i 0.0555942 0.493412i
\(553\) −25.1398 10.3063i −1.06905 0.438269i
\(554\) 5.90556 + 4.70953i 0.250903 + 0.200089i
\(555\) 14.2296 22.6937i 0.604012 0.963293i
\(556\) 3.44240 + 3.71003i 0.145990 + 0.157340i
\(557\) 14.3264 + 3.83874i 0.607028 + 0.162653i 0.549224 0.835675i \(-0.314923\pi\)
0.0578043 + 0.998328i \(0.481590\pi\)
\(558\) 2.81779 + 10.5161i 0.119286 + 0.445183i
\(559\) −4.59935 20.1511i −0.194532 0.852300i
\(560\) −2.83799 + 5.19094i −0.119927 + 0.219357i
\(561\) −3.14334 + 13.7719i −0.132712 + 0.581449i
\(562\) 10.3896 0.388752i 0.438259 0.0163985i
\(563\) 5.74599 4.24074i 0.242165 0.178726i −0.465975 0.884798i \(-0.654296\pi\)
0.708140 + 0.706072i \(0.249535\pi\)
\(564\) −0.208540 + 1.38357i −0.00878111 + 0.0582589i
\(565\) 0.410797 0.198306i 0.0172824 0.00834281i
\(566\) −1.78672 0.407806i −0.0751012 0.0171414i
\(567\) 6.52562 7.93466i 0.274050 0.333224i
\(568\) 7.27969 11.5856i 0.305449 0.486119i
\(569\) 9.60537 + 5.54566i 0.402678 + 0.232486i 0.687639 0.726053i \(-0.258647\pi\)
−0.284961 + 0.958539i \(0.591981\pi\)
\(570\) −12.1934 8.98144i −0.510727 0.376191i
\(571\) 1.01292 0.939848i 0.0423892 0.0393314i −0.658694 0.752411i \(-0.728891\pi\)
0.701083 + 0.713080i \(0.252700\pi\)
\(572\) 9.21246 + 1.74309i 0.385192 + 0.0728823i
\(573\) 1.06787 + 9.47765i 0.0446111 + 0.395934i
\(574\) 15.8884 + 0.834334i 0.663168 + 0.0348244i
\(575\) −28.5341 33.0311i −1.18995 1.37749i
\(576\) −1.16028 0.357899i −0.0483451 0.0149125i
\(577\) 9.04526 3.94641i 0.376559 0.164291i −0.203084 0.979161i \(-0.565097\pi\)
0.579643 + 0.814870i \(0.303192\pi\)
\(578\) 5.54491 6.44330i 0.230638 0.268006i
\(579\) −10.2283 26.0614i −0.425075 1.08307i
\(580\) −7.15193 6.14301i −0.296968 0.255075i
\(581\) −1.80747 7.17629i −0.0749865 0.297723i
\(582\) −15.8411 + 5.54303i −0.656634 + 0.229766i
\(583\) −7.54072 + 6.48931i −0.312305 + 0.268760i
\(584\) −6.88507 + 2.12376i −0.284906 + 0.0878820i
\(585\) −5.79707 + 3.96038i −0.239679 + 0.163741i
\(586\) −0.308826 2.04893i −0.0127575 0.0846404i
\(587\) 29.2875 + 29.2875i 1.20883 + 1.20883i 0.971407 + 0.237419i \(0.0763015\pi\)
0.237419 + 0.971407i \(0.423699\pi\)
\(588\) −6.41223 6.81074i −0.264436 0.280870i
\(589\) 45.4422i 1.87241i
\(590\) −6.25278 1.42096i −0.257423 0.0585000i
\(591\) 12.8481 18.8448i 0.528502 0.775170i
\(592\) 4.18866 7.92532i 0.172153 0.325729i
\(593\) 13.6373 + 15.8468i 0.560015 + 0.650749i 0.964589 0.263756i \(-0.0849613\pi\)
−0.404574 + 0.914505i \(0.632580\pi\)
\(594\) −18.3974 8.85973i −0.754855 0.363519i
\(595\) −15.6436 + 7.26320i −0.641323 + 0.297762i
\(596\) −8.44090 + 4.06493i −0.345753 + 0.166506i
\(597\) −23.7160 10.3472i −0.970630 0.423481i
\(598\) −17.1102 14.7245i −0.699690 0.602132i
\(599\) 0.812792 + 0.318997i 0.0332098 + 0.0130339i 0.381888 0.924209i \(-0.375274\pi\)
−0.348678 + 0.937243i \(0.613369\pi\)
\(600\) 5.78017 3.35172i 0.235974 0.136833i
\(601\) 22.3361 17.8124i 0.911108 0.726584i −0.0511594 0.998691i \(-0.516292\pi\)
0.962267 + 0.272106i \(0.0877202\pi\)
\(602\) 20.8623 + 3.46666i 0.850285 + 0.141290i
\(603\) −1.65020 + 0.185933i −0.0672013 + 0.00757176i
\(604\) −0.957677 1.40465i −0.0389673 0.0571546i
\(605\) 4.40242 + 1.91582i 0.178984 + 0.0778892i
\(606\) 8.50699 + 14.7345i 0.345573 + 0.598550i
\(607\) 9.25743 2.48052i 0.375748 0.100681i −0.0660024 0.997819i \(-0.521025\pi\)
0.441750 + 0.897138i \(0.354358\pi\)
\(608\) −4.29131 2.69641i −0.174035 0.109354i
\(609\) 12.7403 7.74006i 0.516263 0.313643i
\(610\) −8.84709 6.01964i −0.358208 0.243728i
\(611\) 1.98472 + 1.84155i 0.0802930 + 0.0745011i
\(612\) −2.10206 2.84819i −0.0849709 0.115131i
\(613\) −17.1026 23.1732i −0.690767 0.935956i 0.309119 0.951023i \(-0.399966\pi\)
−0.999886 + 0.0150671i \(0.995204\pi\)
\(614\) 13.1020 + 12.1569i 0.528754 + 0.490612i
\(615\) −14.8563 10.1084i −0.599064 0.407609i
\(616\) −5.22569 + 8.04502i −0.210549 + 0.324143i
\(617\) 16.6677 + 10.4730i 0.671016 + 0.421627i 0.823991 0.566603i \(-0.191743\pi\)
−0.152975 + 0.988230i \(0.548885\pi\)
\(618\) −15.3908 + 4.12394i −0.619108 + 0.165889i
\(619\) −11.5701 20.0400i −0.465041 0.805474i 0.534163 0.845382i \(-0.320627\pi\)
−0.999203 + 0.0399075i \(0.987294\pi\)
\(620\) −18.3839 8.00020i −0.738315 0.321296i
\(621\) 27.6944 + 40.6202i 1.11134 + 1.63003i
\(622\) −5.23416 + 0.589749i −0.209871 + 0.0236468i
\(623\) −3.46921 6.22351i −0.138991 0.249340i
\(624\) 2.70162 2.15447i 0.108151 0.0862477i
\(625\) 5.47115 24.3940i 0.218846 0.975759i
\(626\) 2.13934 + 0.839630i 0.0855053 + 0.0335584i
\(627\) −18.6136 16.0183i −0.743355 0.639709i
\(628\) 1.27205 + 0.554992i 0.0507605 + 0.0221466i
\(629\) 23.5456 11.3389i 0.938823 0.452113i
\(630\) −1.49941 7.02523i −0.0597380 0.279892i
\(631\) −3.14914 1.51655i −0.125365 0.0603728i 0.370150 0.928972i \(-0.379306\pi\)
−0.495515 + 0.868599i \(0.665021\pi\)
\(632\) 6.69863 + 7.78395i 0.266457 + 0.309629i
\(633\) 15.6052 29.5265i 0.620252 1.17357i
\(634\) −9.76278 + 14.3194i −0.387730 + 0.568695i
\(635\) −8.70272 1.97772i −0.345357 0.0784833i
\(636\) 3.66654i 0.145388i
\(637\) −17.8784 + 2.82785i −0.708370 + 0.112043i
\(638\) −10.8102 10.8102i −0.427981 0.427981i
\(639\) 2.47619 + 16.4284i 0.0979565 + 0.649899i
\(640\) 1.84634 1.26136i 0.0729829 0.0498597i
\(641\) −33.8778 + 10.4499i −1.33809 + 0.412747i −0.879500 0.475899i \(-0.842123\pi\)
−0.458593 + 0.888646i \(0.651646\pi\)
\(642\) 18.1077 15.5829i 0.714652 0.615008i
\(643\) −34.6162 + 12.1127i −1.36513 + 0.477680i −0.910687 0.413096i \(-0.864447\pi\)
−0.454443 + 0.890776i \(0.650162\pi\)
\(644\) 20.5806 10.4837i 0.810990 0.413114i
\(645\) −18.1189 15.5629i −0.713430 0.612787i
\(646\) −5.39805 13.7540i −0.212384 0.541145i
\(647\) −17.2515 + 20.0466i −0.678227 + 0.788114i −0.986601 0.163151i \(-0.947834\pi\)
0.308374 + 0.951265i \(0.400215\pi\)
\(648\) −3.55899 + 1.55277i −0.139810 + 0.0609986i
\(649\) −9.93578 3.06478i −0.390014 0.120303i
\(650\) 0.941900 12.8947i 0.0369444 0.505772i
\(651\) 21.0378 23.7143i 0.824538 0.929438i
\(652\) 0.323071 + 2.86733i 0.0126524 + 0.112293i
\(653\) −11.6000 2.19483i −0.453942 0.0858905i −0.0460875 0.998937i \(-0.514675\pi\)
−0.407854 + 0.913047i \(0.633723\pi\)
\(654\) 6.42999 5.96616i 0.251432 0.233295i
\(655\) 22.1524 + 16.3170i 0.865566 + 0.637558i
\(656\) −5.20785 3.00676i −0.203333 0.117394i
\(657\) 4.65460 7.40775i 0.181593 0.289004i
\(658\) −2.51371 + 1.16422i −0.0979947 + 0.0453862i
\(659\) 25.2872 + 5.77163i 0.985048 + 0.224831i 0.684561 0.728955i \(-0.259994\pi\)
0.300486 + 0.953786i \(0.402851\pi\)
\(660\) 9.75724 4.71017i 0.379800 0.183343i
\(661\) 5.00530 33.2080i 0.194683 1.29164i −0.651459 0.758684i \(-0.725843\pi\)
0.846143 0.532957i \(-0.178919\pi\)
\(662\) −23.3822 + 17.2568i −0.908775 + 0.670706i
\(663\) 10.0670 0.376679i 0.390968 0.0146290i
\(664\) −0.622411 + 2.72696i −0.0241542 + 0.105827i
\(665\) 1.54413 29.9437i 0.0598787 1.16117i
\(666\) 2.42202 + 10.6116i 0.0938516 + 0.411191i
\(667\) 9.52654 + 35.5535i 0.368869 + 1.37664i
\(668\) 22.7183 + 6.08734i 0.878996 + 0.235526i
\(669\) 8.81364 + 9.49884i 0.340755 + 0.367247i
\(670\) 1.62460 2.59095i 0.0627638 0.100097i
\(671\) −13.5663 10.8187i −0.523720 0.417653i
\(672\) 0.991123 + 3.39383i 0.0382334 + 0.130920i
\(673\) −5.26346 + 46.7145i −0.202891 + 1.80071i 0.319060 + 0.947735i \(0.396633\pi\)
−0.521951 + 0.852975i \(0.674796\pi\)
\(674\) −3.84358 + 12.4606i −0.148049 + 0.479964i
\(675\) −9.24990 + 26.5953i −0.356029 + 1.02365i
\(676\) 0.471813 + 6.29591i 0.0181467 + 0.242150i
\(677\) 7.59715 17.4129i 0.291982 0.669230i −0.707308 0.706906i \(-0.750090\pi\)
0.999290 + 0.0376753i \(0.0119953\pi\)
\(678\) 0.0900376 0.257313i 0.00345787 0.00988204i
\(679\) −26.4348 20.1318i −1.01447 0.772589i
\(680\) 6.51460 + 0.237614i 0.249823 + 0.00911209i
\(681\) −2.51956 + 33.6212i −0.0965498 + 1.28837i
\(682\) −28.7433 15.1913i −1.10064 0.581705i
\(683\) −4.05419 21.4269i −0.155129 0.819879i −0.970530 0.240981i \(-0.922531\pi\)
0.815400 0.578897i \(-0.196517\pi\)
\(684\) 6.08512 0.917184i 0.232670 0.0350694i
\(685\) 33.3480 + 13.0519i 1.27416 + 0.498686i
\(686\) 4.26172 18.0233i 0.162713 0.688131i
\(687\) −14.3775 + 14.3775i −0.548537 + 0.548537i
\(688\) −6.43142 4.74661i −0.245196 0.180963i
\(689\) 5.86201 + 3.99665i 0.223325 + 0.152260i
\(690\) −26.0147 1.92489i −0.990361 0.0732793i
\(691\) 20.2629 + 1.51850i 0.770838 + 0.0577663i 0.454342 0.890827i \(-0.349874\pi\)
0.316496 + 0.948594i \(0.397494\pi\)
\(692\) −1.92432 5.49939i −0.0731517 0.209056i
\(693\) −1.56239 11.5431i −0.0593505 0.438486i
\(694\) 11.0521 + 22.9500i 0.419533 + 0.871170i
\(695\) 7.99472 8.00979i 0.303257 0.303829i
\(696\) −5.61863 + 0.421058i −0.212974 + 0.0159602i
\(697\) −7.01071 16.0687i −0.265550 0.608646i
\(698\) −28.3520 + 14.9845i −1.07314 + 0.567172i
\(699\) −20.9577 26.2801i −0.792693 0.994006i
\(700\) 11.8420 + 5.89633i 0.447586 + 0.222860i
\(701\) −2.50081 + 3.13592i −0.0944544 + 0.118442i −0.826813 0.562478i \(-0.809848\pi\)
0.732358 + 0.680920i \(0.238420\pi\)
\(702\) −2.70729 + 14.3084i −0.102180 + 0.540035i
\(703\) −1.69873 + 45.3996i −0.0640689 + 1.71228i
\(704\) 3.14012 1.81295i 0.118348 0.0683282i
\(705\) 3.10936 + 0.347375i 0.117105 + 0.0130829i
\(706\) 19.2768 4.39981i 0.725492 0.165589i
\(707\) −15.0711 + 30.1259i −0.566806 + 1.13300i
\(708\) −3.24472 + 2.03879i −0.121944 + 0.0766226i
\(709\) −14.8498 + 16.0042i −0.557695 + 0.601052i −0.947465 0.319860i \(-0.896364\pi\)
0.389770 + 0.920912i \(0.372554\pi\)
\(710\) −26.5110 15.2729i −0.994941 0.573180i
\(711\) −12.3302 1.85847i −0.462417 0.0696981i
\(712\) 0.100696 + 2.69116i 0.00377375 + 0.100856i
\(713\) 41.6443 + 66.2765i 1.55959 + 2.48208i
\(714\) −3.55052 + 9.67669i −0.132875 + 0.362141i
\(715\) 3.10517 20.7339i 0.116127 0.775406i
\(716\) 11.2923 19.5589i 0.422014 0.730949i
\(717\) 6.14659 22.9394i 0.229548 0.856687i
\(718\) 2.53863 + 0.0949889i 0.0947409 + 0.00354495i
\(719\) 24.2190 16.5122i 0.903216 0.615802i −0.0201189 0.999798i \(-0.506404\pi\)
0.923335 + 0.383995i \(0.125452\pi\)
\(720\) −0.700247 + 2.62324i −0.0260967 + 0.0977623i
\(721\) −23.5987 20.9353i −0.878863 0.779671i
\(722\) 6.64389 + 0.748586i 0.247260 + 0.0278595i
\(723\) −7.00341 13.2511i −0.260460 0.492814i
\(724\) −5.17206 + 13.1782i −0.192218 + 0.489764i
\(725\) −13.1131 + 16.5070i −0.487008 + 0.613054i
\(726\) 2.67098 1.04828i 0.0991292 0.0389054i
\(727\) 16.4073 + 5.74115i 0.608512 + 0.212928i 0.616906 0.787037i \(-0.288386\pi\)
−0.00839354 + 0.999965i \(0.502672\pi\)
\(728\) 6.50636 + 2.11479i 0.241142 + 0.0783795i
\(729\) 11.8415 24.5890i 0.438572 0.910705i
\(730\) 5.33554 + 15.2021i 0.197477 + 0.562657i
\(731\) −6.86880 22.2681i −0.254052 0.823616i
\(732\) −6.28357 + 1.18892i −0.232247 + 0.0439436i
\(733\) 9.37380 12.7010i 0.346229 0.469124i −0.596534 0.802588i \(-0.703456\pi\)
0.942763 + 0.333464i \(0.108218\pi\)
\(734\) 11.8671 0.438023
\(735\) −14.6685 + 14.9114i −0.541055 + 0.550016i
\(736\) −8.72983 −0.321786
\(737\) 2.94474 3.98998i 0.108471 0.146973i
\(738\) 7.17447 1.35748i 0.264096 0.0499696i
\(739\) −0.695841 2.25586i −0.0255969 0.0829831i 0.941873 0.335969i \(-0.109064\pi\)
−0.967470 + 0.252986i \(0.918587\pi\)
\(740\) −18.0676 8.67992i −0.664177 0.319080i
\(741\) −7.59856 + 15.7786i −0.279140 + 0.579641i
\(742\) −6.05880 + 3.99847i −0.222426 + 0.146789i
\(743\) −15.3229 5.36171i −0.562142 0.196702i 0.0342247 0.999414i \(-0.489104\pi\)
−0.596367 + 0.802712i \(0.703390\pi\)
\(744\) −11.1536 + 4.37748i −0.408912 + 0.160486i
\(745\) 9.80627 + 18.5121i 0.359274 + 0.678232i
\(746\) −8.17977 + 20.8417i −0.299483 + 0.763069i
\(747\) −1.58699 3.00272i −0.0580648 0.109864i
\(748\) 10.5043 + 1.18355i 0.384076 + 0.0432750i
\(749\) 45.4970 + 12.9285i 1.66242 + 0.472397i
\(750\) −7.98460 12.6281i −0.291556 0.461112i
\(751\) −1.79511 + 1.22388i −0.0655044 + 0.0446602i −0.595630 0.803259i \(-0.703097\pi\)
0.530125 + 0.847919i \(0.322145\pi\)
\(752\) 1.04632 + 0.0391504i 0.0381552 + 0.00142767i
\(753\) 4.12341 15.3888i 0.150265 0.560798i
\(754\) −5.45131 + 9.44194i −0.198525 + 0.343855i
\(755\) −3.05651 + 2.26026i −0.111238 + 0.0822591i
\(756\) −12.4952 8.11631i −0.454445 0.295187i
\(757\) −17.3049 27.5406i −0.628957 1.00098i −0.997451 0.0713497i \(-0.977269\pi\)
0.368494 0.929630i \(-0.379873\pi\)
\(758\) −1.03565 27.6783i −0.0376164 1.00532i
\(759\) −41.8270 6.30441i −1.51822 0.228836i
\(760\) −5.65709 + 9.81972i −0.205204 + 0.356199i
\(761\) −19.7266 + 21.2602i −0.715089 + 0.770683i −0.981145 0.193275i \(-0.938089\pi\)
0.266056 + 0.963958i \(0.414280\pi\)
\(762\) −4.51606 + 2.83763i −0.163600 + 0.102796i
\(763\) 16.8709 + 4.11900i 0.610768 + 0.149118i
\(764\) 6.95824 1.58817i 0.251740 0.0574581i
\(765\) −6.18390 + 4.94103i −0.223579 + 0.178643i
\(766\) 15.0332 8.67942i 0.543171 0.313600i
\(767\) −0.277261 + 7.40996i −0.0100113 + 0.267558i
\(768\) 0.248439 1.31303i 0.00896477 0.0473799i
\(769\) −5.04017 + 6.32018i −0.181753 + 0.227911i −0.864359 0.502876i \(-0.832275\pi\)
0.682605 + 0.730787i \(0.260847\pi\)
\(770\) 18.4239 + 10.9868i 0.663951 + 0.395938i
\(771\) −16.8529 21.1329i −0.606943 0.761082i
\(772\) −18.5226 + 9.78950i −0.666644 + 0.352332i
\(773\) −6.71780 15.3974i −0.241622 0.553805i 0.752923 0.658109i \(-0.228643\pi\)
−0.994545 + 0.104304i \(0.966738\pi\)
\(774\) 9.67859 0.725310i 0.347890 0.0260707i
\(775\) −16.3001 + 41.7631i −0.585517 + 1.50018i
\(776\) 5.44912 + 11.3152i 0.195612 + 0.406193i
\(777\) 21.9046 22.9056i 0.785823 0.821735i
\(778\) −0.405088 1.15768i −0.0145231 0.0415047i
\(779\) 30.3920 + 2.27757i 1.08891 + 0.0816024i
\(780\) −5.04556 5.85189i −0.180660 0.209531i
\(781\) −40.9918 27.9477i −1.46680 1.00005i
\(782\) −20.4774 15.1130i −0.732272 0.540441i
\(783\) 16.7899 16.7899i 0.600024 0.600024i
\(784\) −4.52731 + 5.33886i −0.161690 + 0.190674i
\(785\) 1.13105 2.88988i 0.0403690 0.103144i
\(786\) 16.2589 2.45063i 0.579935 0.0874111i
\(787\) 2.21313 + 11.6967i 0.0788897 + 0.416942i 0.999641 + 0.0267921i \(0.00852920\pi\)
−0.920751 + 0.390150i \(0.872423\pi\)
\(788\) −15.0897 7.97514i −0.537549 0.284103i
\(789\) −1.02826 + 13.7211i −0.0366069 + 0.488485i
\(790\) 16.8185 15.6348i 0.598375 0.556260i
\(791\) 0.523387 0.131824i 0.0186095 0.00468712i
\(792\) −1.45411 + 4.15560i −0.0516695 + 0.147663i
\(793\) −4.94847 + 11.3420i −0.175725 + 0.402767i
\(794\) −0.195091 2.60331i −0.00692353 0.0923880i
\(795\) 8.19261 0.314274i 0.290562 0.0111461i
\(796\) −5.70725 + 18.5025i −0.202288 + 0.655802i
\(797\) 2.76225 24.5156i 0.0978438 0.868388i −0.844912 0.534905i \(-0.820347\pi\)
0.942756 0.333483i \(-0.108224\pi\)
\(798\) −11.9887 13.3175i −0.424394 0.471436i
\(799\) 2.38655 + 1.90321i 0.0844301 + 0.0673308i
\(800\) −2.97667 4.01739i −0.105241 0.142036i
\(801\) −2.22414 2.39706i −0.0785862 0.0846958i
\(802\) −20.0238 5.36537i −0.707066 0.189458i
\(803\) 6.76172 + 25.2351i 0.238616 + 0.890527i
\(804\) −0.406687 1.78181i −0.0143427 0.0628396i
\(805\) −25.1890 45.0873i −0.887795 1.58912i
\(806\) −5.15918 + 22.6038i −0.181724 + 0.796186i
\(807\) −3.15788 + 0.118160i −0.111163 + 0.00415942i
\(808\) 10.2440 7.56045i 0.360384 0.265976i
\(809\) −2.78274 + 18.4622i −0.0978358 + 0.649098i 0.885135 + 0.465335i \(0.154066\pi\)
−0.982971 + 0.183763i \(0.941172\pi\)
\(810\) 3.77460 + 7.81920i 0.132626 + 0.274739i
\(811\) −39.1478 8.93523i −1.37467 0.313759i −0.529521 0.848297i \(-0.677628\pi\)
−0.845144 + 0.534538i \(0.820486\pi\)
\(812\) −6.82306 8.82537i −0.239443 0.309710i
\(813\) −17.5826 + 27.9826i −0.616649 + 0.981392i
\(814\) −28.1485 16.2515i −0.986603 0.569616i
\(815\) 6.37914 0.967647i 0.223452 0.0338952i
\(816\) 2.85587 2.64986i 0.0999756 0.0927638i
\(817\) 39.8050 + 7.53152i 1.39260 + 0.263494i
\(818\) −3.80824 33.7991i −0.133152 1.18176i
\(819\) −7.66309 + 3.20685i −0.267770 + 0.112056i
\(820\) −6.27198 + 11.8943i −0.219027 + 0.415366i
\(821\) 24.2482 + 7.47957i 0.846267 + 0.261039i 0.687416 0.726264i \(-0.258745\pi\)
0.158851 + 0.987303i \(0.449221\pi\)
\(822\) 19.6159 8.55833i 0.684183 0.298506i
\(823\) 13.8705 16.1179i 0.483496 0.561833i −0.462245 0.886752i \(-0.652956\pi\)
0.945742 + 0.324919i \(0.105337\pi\)
\(824\) 4.35614 + 11.0993i 0.151753 + 0.386661i
\(825\) −11.3608 21.3981i −0.395534 0.744986i
\(826\) −6.90749 3.13840i −0.240342 0.109199i
\(827\) 44.7931 15.6738i 1.55761 0.545031i 0.592204 0.805788i \(-0.298258\pi\)
0.965404 + 0.260757i \(0.0839721\pi\)
\(828\) 8.03449 6.91424i 0.279218 0.240286i
\(829\) 5.04311 1.55559i 0.175155 0.0540280i −0.205937 0.978565i \(-0.566024\pi\)
0.381092 + 0.924537i \(0.375548\pi\)
\(830\) 6.14654 + 1.15699i 0.213350 + 0.0401598i
\(831\) −1.50442 9.98121i −0.0521879 0.346244i
\(832\) −1.82845 1.82845i −0.0633900 0.0633900i
\(833\) −19.8623 + 4.68564i −0.688187 + 0.162348i
\(834\) 6.76325i 0.234192i
\(835\) 11.6544 51.2840i 0.403318 1.77476i
\(836\) −10.3519 + 15.1834i −0.358027 + 0.525129i
\(837\) 23.5944 44.6429i 0.815543 1.54308i
\(838\) −10.1636 11.8103i −0.351096 0.407981i
\(839\) −22.5053 10.8380i −0.776970 0.374169i 0.00299255 0.999996i \(-0.499047\pi\)
−0.779962 + 0.625827i \(0.784762\pi\)
\(840\) 7.49831 2.50549i 0.258716 0.0864476i
\(841\) −10.1113 + 4.86933i −0.348665 + 0.167908i
\(842\) 2.91456 + 1.27161i 0.100442 + 0.0438225i
\(843\) −10.5310 9.06265i −0.362706 0.312134i
\(844\) −23.2638 9.13038i −0.800774 0.314280i
\(845\) 14.0273 1.59388i 0.482554 0.0548311i
\(846\) −0.993984 + 0.792675i −0.0341739 + 0.0272527i
\(847\) 4.64502 + 3.27049i 0.159605 + 0.112375i
\(848\) 2.72649 0.307202i 0.0936281 0.0105494i
\(849\) 1.37959 + 2.02349i 0.0473475 + 0.0694461i
\(850\) −0.0274608 14.5767i −0.000941897 0.499978i
\(851\) 39.1276 + 67.7711i 1.34128 + 2.32316i
\(852\) −17.6617 + 4.73243i −0.605079 + 0.162130i
\(853\) 9.26257 + 5.82006i 0.317144 + 0.199275i 0.681191 0.732106i \(-0.261462\pi\)
−0.364047 + 0.931381i \(0.618605\pi\)
\(854\) −8.81705 9.08678i −0.301713 0.310943i
\(855\) −2.57096 13.5181i −0.0879250 0.462310i
\(856\) −13.1048 12.1595i −0.447913 0.415603i
\(857\) −9.36348 12.6871i −0.319851 0.433382i 0.614944 0.788571i \(-0.289179\pi\)
−0.934795 + 0.355189i \(0.884417\pi\)
\(858\) −7.44015 10.0810i −0.254003 0.344161i
\(859\) −14.0028 12.9927i −0.477769 0.443305i 0.404159 0.914689i \(-0.367564\pi\)
−0.881928 + 0.471384i \(0.843755\pi\)
\(860\) −10.0547 + 14.7774i −0.342861 + 0.503905i
\(861\) −14.8059 15.2588i −0.504582 0.520018i
\(862\) 20.2211 + 12.7058i 0.688733 + 0.432760i
\(863\) −21.3470 + 5.71991i −0.726661 + 0.194708i −0.603142 0.797634i \(-0.706085\pi\)
−0.123519 + 0.992342i \(0.539418\pi\)
\(864\) 2.81580 + 4.87710i 0.0957953 + 0.165922i
\(865\) −12.1230 + 4.77113i −0.412196 + 0.162223i
\(866\) 0.659866 + 0.967845i 0.0224232 + 0.0328887i
\(867\) −11.2883 + 1.27189i −0.383371 + 0.0431956i
\(868\) −19.3970 13.6571i −0.658376 0.463553i
\(869\) 29.1123 23.2163i 0.987566 0.787558i
\(870\) 1.42242 + 12.5183i 0.0482245 + 0.424411i
\(871\) −3.29203 1.29203i −0.111546 0.0437787i
\(872\) −4.97525 4.28155i −0.168483 0.144992i
\(873\) −13.9770 6.09811i −0.473050 0.206390i
\(874\) 39.8624 19.1967i 1.34836 0.649338i
\(875\) 12.1599 26.9655i 0.411079 0.911600i
\(876\) 8.67497 + 4.17764i 0.293100 + 0.141150i
\(877\) 12.2598 + 14.2462i 0.413986 + 0.481060i 0.925788 0.378043i \(-0.123403\pi\)
−0.511802 + 0.859103i \(0.671022\pi\)
\(878\) −4.57998 + 8.66575i −0.154567 + 0.292455i
\(879\) −1.55981 + 2.28783i −0.0526112 + 0.0771665i
\(880\) −4.32006 6.86097i −0.145629 0.231283i
\(881\) 17.7703i 0.598696i −0.954144 0.299348i \(-0.903231\pi\)
0.954144 0.299348i \(-0.0967691\pi\)
\(882\) −0.0618052 8.49936i −0.00208109 0.286188i
\(883\) 1.73190 + 1.73190i 0.0582829 + 0.0582829i 0.735648 0.677365i \(-0.236878\pi\)
−0.677365 + 0.735648i \(0.736878\pi\)
\(884\) −1.12356 7.45436i −0.0377896 0.250717i
\(885\) 4.83365 + 7.07533i 0.162481 + 0.237835i
\(886\) 20.9559 6.46404i 0.704028 0.217164i
\(887\) −3.50700 + 3.01802i −0.117754 + 0.101335i −0.709193 0.705014i \(-0.750941\pi\)
0.591440 + 0.806349i \(0.298560\pi\)
\(888\) −11.3068 + 3.95642i −0.379431 + 0.132769i
\(889\) −9.61395 4.36807i −0.322442 0.146500i
\(890\) 6.00457 0.455668i 0.201274 0.0152740i
\(891\) 5.14374 + 13.1060i 0.172322 + 0.439069i
\(892\) 6.32502 7.34981i 0.211777 0.246090i
\(893\) −4.86380 + 2.12206i −0.162761 + 0.0710119i
\(894\) 11.9634 + 3.69023i 0.400117 + 0.123420i
\(895\) −44.6707 23.5554i −1.49318 0.787369i
\(896\) 2.44066 1.02137i 0.0815367 0.0341214i
\(897\) 3.37751 + 29.9762i 0.112772 + 1.00088i
\(898\) −10.0188 1.89566i −0.334332 0.0632591i
\(899\) 27.7128 25.7137i 0.924273 0.857600i
\(900\) 5.92145 + 1.33980i 0.197382 + 0.0446600i
\(901\) 6.92732 + 3.99949i 0.230783 + 0.133242i
\(902\) −11.6006 + 18.4623i −0.386259 + 0.614728i
\(903\) −17.2857 22.3584i −0.575233 0.744041i
\(904\) −0.198885 0.0453942i −0.00661482 0.00150979i
\(905\) 29.8890 + 10.4270i 0.993544 + 0.346606i
\(906\) −0.338600 + 2.24646i −0.0112492 + 0.0746337i
\(907\) −41.1958 + 30.4039i −1.36788 + 1.00954i −0.371167 + 0.928566i \(0.621042\pi\)
−0.996716 + 0.0809775i \(0.974196\pi\)
\(908\) 25.2123 0.943378i 0.836700 0.0313071i
\(909\) −3.44004 + 15.0718i −0.114099 + 0.499900i
\(910\) 4.16766 14.7192i 0.138157 0.487938i
\(911\) 7.65379 + 33.5334i 0.253581 + 1.11101i 0.927976 + 0.372641i \(0.121548\pi\)
−0.674394 + 0.738371i \(0.735595\pi\)
\(912\) 1.75290 + 6.54191i 0.0580443 + 0.216624i
\(913\) 9.79640 + 2.62494i 0.324214 + 0.0868727i
\(914\) 1.50534 + 1.62237i 0.0497922 + 0.0536632i
\(915\) 3.19513 + 13.9383i 0.105628 + 0.460784i
\(916\) 11.8959 + 9.48670i 0.393053 + 0.313449i
\(917\) 21.7804 + 24.1946i 0.719251 + 0.798976i
\(918\) −1.83824 + 16.3148i −0.0606710 + 0.538470i
\(919\) 6.70492 21.7368i 0.221175 0.717032i −0.775181 0.631739i \(-0.782341\pi\)
0.996356 0.0852924i \(-0.0271824\pi\)
\(920\) 0.748268 + 19.5061i 0.0246697 + 0.643098i
\(921\) −1.78489 23.8177i −0.0588142 0.784821i
\(922\) −7.48128 + 17.1473i −0.246383 + 0.564715i
\(923\) −11.6857 + 33.3957i −0.384638 + 1.09923i
\(924\) 12.4315 3.13108i 0.408965 0.103005i
\(925\) −17.8460 + 41.1146i −0.586773 + 1.35184i
\(926\) 0.779150 10.3970i 0.0256045 0.341668i
\(927\) −12.8001 6.76503i −0.420409 0.222193i
\(928\) 0.783862 + 4.14281i 0.0257315 + 0.135994i
\(929\) −17.0544 + 2.57053i −0.559536 + 0.0843364i −0.422720 0.906260i \(-0.638925\pi\)
−0.136815 + 0.990597i \(0.543687\pi\)
\(930\) 10.7372 + 24.5467i 0.352085 + 0.804919i
\(931\) 8.93267 34.3339i 0.292757 1.12525i
\(932\) −17.7863 + 17.7863i −0.582610 + 0.582610i
\(933\) 5.66342 + 4.17979i 0.185412 + 0.136840i
\(934\) 20.9146 + 14.2593i 0.684347 + 0.466580i
\(935\) 1.74419 23.5726i 0.0570412 0.770905i
\(936\) 3.13098 + 0.234635i 0.102339 + 0.00766928i
\(937\) −18.8871 53.9761i −0.617013 1.76332i −0.645536 0.763730i \(-0.723366\pi\)
0.0285227 0.999593i \(-0.490920\pi\)
\(938\) 2.50086 2.61515i 0.0816560 0.0853877i
\(939\) −1.33253 2.76702i −0.0434854 0.0902984i
\(940\) −0.00220533 2.34127i −7.19299e−5 0.0763638i
\(941\) 36.1812 2.71141i 1.17947 0.0883894i 0.529476 0.848325i \(-0.322389\pi\)
0.649999 + 0.759935i \(0.274769\pi\)
\(942\) −0.741651 1.69988i −0.0241643 0.0553852i
\(943\) 46.4133 24.5302i 1.51143 0.798812i
\(944\) 1.78793 + 2.24200i 0.0581923 + 0.0729709i
\(945\) −17.0643 + 28.6152i −0.555101 + 0.930852i
\(946\) −18.0707 + 22.6599i −0.587528 + 0.736736i
\(947\) 0.769878 4.06890i 0.0250177 0.132222i −0.967831 0.251601i \(-0.919043\pi\)
0.992849 + 0.119380i \(0.0380905\pi\)
\(948\) 0.513132 13.7138i 0.0166658 0.445402i
\(949\) 16.1351 9.31563i 0.523769 0.302398i
\(950\) 22.4263 + 11.7987i 0.727606 + 0.382799i
\(951\) 22.5790 5.15350i 0.732173 0.167114i
\(952\) 7.49320 + 1.82945i 0.242856 + 0.0592929i
\(953\) −38.9970 + 24.5034i −1.26324 + 0.793745i −0.985950 0.167042i \(-0.946578\pi\)
−0.277287 + 0.960787i \(0.589435\pi\)
\(954\) −2.26601 + 2.44218i −0.0733649 + 0.0790685i
\(955\) −4.14507 15.4115i −0.134131 0.498705i
\(956\) −17.5730 2.64871i −0.568352 0.0856653i
\(957\) 0.763892 + 20.4154i 0.0246931 + 0.659937i
\(958\) −1.30799 2.08165i −0.0422591 0.0672550i
\(959\) 35.5340 + 23.0813i 1.14745 + 0.745334i
\(960\) −2.95516 0.442573i −0.0953775 0.0142840i
\(961\) 24.6971 42.7766i 0.796679 1.37989i
\(962\) −5.99931 + 22.3897i −0.193426 + 0.721874i
\(963\) 21.6916 + 0.811643i 0.699002 + 0.0261548i
\(964\) −9.26692 + 6.31808i −0.298467 + 0.203492i
\(965\) 23.4615 + 40.5483i 0.755254 + 1.30530i
\(966\) −29.6897 8.43667i −0.955250 0.271445i
\(967\) 41.1050 + 4.63142i 1.32185 + 0.148937i 0.744534 0.667585i \(-0.232672\pi\)
0.577315 + 0.816522i \(0.304100\pi\)
\(968\) −1.00330 1.89834i −0.0322474 0.0610151i
\(969\) −7.21357 + 18.3799i −0.231733 + 0.590447i
\(970\) 24.8159 13.1455i 0.796791 0.422077i
\(971\) 37.9442 14.8920i 1.21769 0.477908i 0.332484 0.943109i \(-0.392113\pi\)
0.885205 + 0.465201i \(0.154018\pi\)
\(972\) −11.0489 3.86619i −0.354395 0.124008i
\(973\) 11.1760 7.37553i 0.358286 0.236449i
\(974\) 15.1152 31.3871i 0.484323 1.00571i
\(975\) −12.6431 + 11.7755i −0.404904 + 0.377118i
\(976\) 1.41056 + 4.57293i 0.0451510 + 0.146376i
\(977\) −28.0231 + 5.30226i −0.896540 + 0.169634i −0.613706 0.789535i \(-0.710322\pi\)
−0.282834 + 0.959169i \(0.591274\pi\)
\(978\) 2.28974 3.10248i 0.0732177 0.0992064i
\(979\) 9.76472 0.312082
\(980\) 12.3173 + 9.65832i 0.393463 + 0.308524i
\(981\) 7.97007 0.254465
\(982\) −1.67466 + 2.26909i −0.0534407 + 0.0724096i
\(983\) −6.07382 + 1.14923i −0.193725 + 0.0366547i −0.281868 0.959453i \(-0.590954\pi\)
0.0881437 + 0.996108i \(0.471907\pi\)
\(984\) 2.36866 + 7.67901i 0.0755102 + 0.244798i
\(985\) −16.5265 + 34.4004i −0.526577 + 1.09609i
\(986\) −5.33332 + 11.0748i −0.169848 + 0.352692i
\(987\) 3.52063 + 1.14433i 0.112063 + 0.0364243i
\(988\) 12.3698 + 4.32839i 0.393536 + 0.137704i
\(989\) 64.9568 25.4937i 2.06551 0.810652i
\(990\) 9.41002 + 2.89290i 0.299070 + 0.0919425i
\(991\) 2.02911 5.17009i 0.0644568 0.164233i −0.895016 0.446033i \(-0.852836\pi\)
0.959473 + 0.281800i \(0.0909315\pi\)
\(992\) 4.18966 + 7.92722i 0.133022 + 0.251690i
\(993\) 38.5905 + 4.34810i 1.22463 + 0.137983i
\(994\) −27.0807 24.0243i −0.858948 0.762004i
\(995\) 41.8315 + 11.1665i 1.32615 + 0.354002i
\(996\) 3.08834 2.10560i 0.0978579 0.0667184i
\(997\) 20.8132 + 0.778774i 0.659160 + 0.0246640i 0.364879 0.931055i \(-0.381110\pi\)
0.294281 + 0.955719i \(0.404920\pi\)
\(998\) 1.42457 5.31656i 0.0450939 0.168293i
\(999\) 25.2411 43.7190i 0.798595 1.38321i
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 490.2.w.a.103.10 672
5.2 odd 4 inner 490.2.w.a.397.5 yes 672
49.10 odd 42 inner 490.2.w.a.353.5 yes 672
245.157 even 84 inner 490.2.w.a.157.10 yes 672
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
490.2.w.a.103.10 672 1.1 even 1 trivial
490.2.w.a.157.10 yes 672 245.157 even 84 inner
490.2.w.a.353.5 yes 672 49.10 odd 42 inner
490.2.w.a.397.5 yes 672 5.2 odd 4 inner