Properties

Label 441.2.z.a.142.22
Level $441$
Weight $2$
Character 441.142
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [441,2,Mod(4,441)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(441, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([14, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("441.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.z (of order \(21\), degree \(12\), 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: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 142.22
Character \(\chi\) \(=\) 441.142
Dual form 441.2.z.a.382.22

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.279217 + 0.711434i) q^{2} +(1.71713 - 0.226824i) q^{3} +(1.03793 + 0.963057i) q^{4} +(2.80587 - 1.35123i) q^{5} +(-0.318083 + 1.28496i) q^{6} +(-2.58292 - 0.573190i) q^{7} +(-2.35211 + 1.13272i) q^{8} +(2.89710 - 0.778973i) q^{9} +O(q^{10})\) \(q+(-0.279217 + 0.711434i) q^{2} +(1.71713 - 0.226824i) q^{3} +(1.03793 + 0.963057i) q^{4} +(2.80587 - 1.35123i) q^{5} +(-0.318083 + 1.28496i) q^{6} +(-2.58292 - 0.573190i) q^{7} +(-2.35211 + 1.13272i) q^{8} +(2.89710 - 0.778973i) q^{9} +(0.177867 + 2.37347i) q^{10} +(1.31948 + 1.65458i) q^{11} +(2.00071 + 1.41827i) q^{12} +(1.04304 - 2.65762i) q^{13} +(1.12898 - 1.67753i) q^{14} +(4.51156 - 2.95669i) q^{15} +(0.0625172 + 0.834234i) q^{16} +(-3.99441 + 3.70627i) q^{17} +(-0.254733 + 2.27860i) q^{18} +(0.128048 - 0.221786i) q^{19} +(4.21360 + 1.29972i) q^{20} +(-4.56523 - 0.398378i) q^{21} +(-1.54554 + 0.476736i) q^{22} +(0.402808 - 1.76482i) q^{23} +(-3.78197 + 2.47855i) q^{24} +(2.92960 - 3.67360i) q^{25} +(1.59949 + 1.48411i) q^{26} +(4.79802 - 1.99473i) q^{27} +(-2.12887 - 3.08242i) q^{28} +(-9.28787 - 2.86493i) q^{29} +(0.843782 + 4.03523i) q^{30} +(3.84528 - 6.66023i) q^{31} +(-5.60029 - 1.72746i) q^{32} +(2.64102 + 2.54184i) q^{33} +(-1.52146 - 3.87661i) q^{34} +(-8.02183 + 1.88183i) q^{35} +(3.75718 + 1.98156i) q^{36} +(1.65126 + 0.509346i) q^{37} +(0.122033 + 0.153024i) q^{38} +(1.18823 - 4.80008i) q^{39} +(-5.06915 + 6.35651i) q^{40} +(5.65735 + 3.85712i) q^{41} +(1.55811 - 3.13662i) q^{42} +(-8.60068 + 5.86385i) q^{43} +(-0.223924 + 2.98806i) q^{44} +(7.07630 - 6.10036i) q^{45} +(1.14308 + 0.779338i) q^{46} +(-2.86688 + 7.30469i) q^{47} +(0.296574 + 1.41831i) q^{48} +(6.34291 + 2.96100i) q^{49} +(1.79553 + 3.10995i) q^{50} +(-6.01827 + 7.27019i) q^{51} +(3.64204 - 1.75391i) q^{52} +(-2.28148 + 0.703745i) q^{53} +(0.0794291 + 3.97044i) q^{54} +(5.93800 + 2.85959i) q^{55} +(6.72458 - 1.57751i) q^{56} +(0.169570 - 0.409881i) q^{57} +(4.63154 - 5.80776i) q^{58} +(-10.4594 + 7.13109i) q^{59} +(7.53013 + 1.27606i) q^{60} +(10.7798 - 10.0022i) q^{61} +(3.66464 + 4.59531i) q^{62} +(-7.92947 + 0.351433i) q^{63} +(1.74948 - 2.19378i) q^{64} +(-0.664439 - 8.86632i) q^{65} +(-2.54577 + 1.16919i) q^{66} +(1.42219 - 2.46330i) q^{67} -7.71525 q^{68} +(0.291374 - 3.12180i) q^{69} +(0.901035 - 6.23244i) q^{70} +(-0.403388 + 1.76736i) q^{71} +(-5.93196 + 5.11384i) q^{72} +(-3.54969 - 0.535030i) q^{73} +(-0.823426 + 1.03254i) q^{74} +(4.19726 - 6.97257i) q^{75} +(0.346497 - 0.106880i) q^{76} +(-2.45972 - 5.02994i) q^{77} +(3.08317 + 2.18561i) q^{78} +(-3.41927 - 5.92235i) q^{79} +(1.30266 + 2.25627i) q^{80} +(7.78640 - 4.51353i) q^{81} +(-4.32371 + 2.94786i) q^{82} +(2.58380 + 6.58343i) q^{83} +(-4.35472 - 4.81006i) q^{84} +(-6.19973 + 15.7967i) q^{85} +(-1.77028 - 7.75610i) q^{86} +(-16.5983 - 2.81276i) q^{87} +(-4.97774 - 2.39715i) q^{88} +(-4.71782 - 12.0208i) q^{89} +(2.36417 + 6.73764i) q^{90} +(-4.21741 + 6.26655i) q^{91} +(2.11770 - 1.44383i) q^{92} +(5.09217 - 12.3087i) q^{93} +(-4.39632 - 4.07919i) q^{94} +(0.0596013 - 0.795324i) q^{95} +(-10.0083 - 1.69601i) q^{96} +(-0.395512 + 0.685048i) q^{97} +(-3.87760 + 3.68580i) q^{98} +(5.11154 + 3.76563i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} - 22 q^{10} - 5 q^{11} + 2 q^{12} - 4 q^{13} + 52 q^{14} - 4 q^{15} + 38 q^{16} - 37 q^{17} - 16 q^{18} - 14 q^{19} - 11 q^{20} - 6 q^{21} - q^{22} - 20 q^{23} - 26 q^{24} - 97 q^{25} - 44 q^{26} + 14 q^{27} - 22 q^{28} - 53 q^{29} - 9 q^{30} + 10 q^{31} - 10 q^{32} + 2 q^{33} - 7 q^{34} - 32 q^{35} - 22 q^{36} - 39 q^{37} + 59 q^{38} - 26 q^{39} - 19 q^{40} - 17 q^{41} - 83 q^{42} - q^{43} - 31 q^{44} + 81 q^{45} + 56 q^{46} + 50 q^{47} - 23 q^{48} - 19 q^{49} - 21 q^{50} - 30 q^{51} - 9 q^{52} + 50 q^{53} + 48 q^{54} + 20 q^{55} - 239 q^{56} + 33 q^{57} + 17 q^{58} - 37 q^{59} - 152 q^{60} - 105 q^{61} - 30 q^{62} + 6 q^{63} - 88 q^{64} - 5 q^{65} - 99 q^{66} + 13 q^{67} - 290 q^{68} + 64 q^{69} + 17 q^{70} - 19 q^{71} + 11 q^{72} - 40 q^{73} - 57 q^{74} + 69 q^{75} - 41 q^{76} + 19 q^{77} + 81 q^{78} + 13 q^{79} + 163 q^{80} - 179 q^{81} - 28 q^{82} + 73 q^{83} - 341 q^{84} - 10 q^{85} + 15 q^{86} + 13 q^{87} - 13 q^{88} - 104 q^{89} + 171 q^{90} - 49 q^{91} - 91 q^{92} - 275 q^{93} - 4 q^{94} - 29 q^{95} + 231 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{4}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.279217 + 0.711434i −0.197436 + 0.503060i −0.994965 0.100221i \(-0.968045\pi\)
0.797529 + 0.603281i \(0.206140\pi\)
\(3\) 1.71713 0.226824i 0.991388 0.130957i
\(4\) 1.03793 + 0.963057i 0.518964 + 0.481528i
\(5\) 2.80587 1.35123i 1.25482 0.604290i 0.316021 0.948752i \(-0.397653\pi\)
0.938800 + 0.344462i \(0.111939\pi\)
\(6\) −0.318083 + 1.28496i −0.129857 + 0.524583i
\(7\) −2.58292 0.573190i −0.976250 0.216645i
\(8\) −2.35211 + 1.13272i −0.831598 + 0.400477i
\(9\) 2.89710 0.778973i 0.965701 0.259658i
\(10\) 0.177867 + 2.37347i 0.0562466 + 0.750559i
\(11\) 1.31948 + 1.65458i 0.397838 + 0.498873i 0.939893 0.341470i \(-0.110925\pi\)
−0.542055 + 0.840343i \(0.682353\pi\)
\(12\) 2.00071 + 1.41827i 0.577554 + 0.409420i
\(13\) 1.04304 2.65762i 0.289287 0.737092i −0.710166 0.704034i \(-0.751380\pi\)
0.999453 0.0330578i \(-0.0105245\pi\)
\(14\) 1.12898 1.67753i 0.301733 0.448338i
\(15\) 4.51156 2.95669i 1.16488 0.763413i
\(16\) 0.0625172 + 0.834234i 0.0156293 + 0.208558i
\(17\) −3.99441 + 3.70627i −0.968786 + 0.898902i −0.994911 0.100757i \(-0.967874\pi\)
0.0261251 + 0.999659i \(0.491683\pi\)
\(18\) −0.254733 + 2.27860i −0.0600411 + 0.537071i
\(19\) 0.128048 0.221786i 0.0293763 0.0508812i −0.850964 0.525225i \(-0.823981\pi\)
0.880340 + 0.474344i \(0.157315\pi\)
\(20\) 4.21360 + 1.29972i 0.942190 + 0.290627i
\(21\) −4.56523 0.398378i −0.996214 0.0869331i
\(22\) −1.54554 + 0.476736i −0.329511 + 0.101641i
\(23\) 0.402808 1.76482i 0.0839913 0.367990i −0.915412 0.402517i \(-0.868135\pi\)
0.999404 + 0.0345272i \(0.0109925\pi\)
\(24\) −3.78197 + 2.47855i −0.771991 + 0.505931i
\(25\) 2.92960 3.67360i 0.585920 0.734720i
\(26\) 1.59949 + 1.48411i 0.313685 + 0.291057i
\(27\) 4.79802 1.99473i 0.923380 0.383886i
\(28\) −2.12887 3.08242i −0.402318 0.582523i
\(29\) −9.28787 2.86493i −1.72471 0.532004i −0.735378 0.677657i \(-0.762995\pi\)
−0.989336 + 0.145654i \(0.953471\pi\)
\(30\) 0.843782 + 4.03523i 0.154053 + 0.736729i
\(31\) 3.84528 6.66023i 0.690633 1.19621i −0.280997 0.959709i \(-0.590665\pi\)
0.971631 0.236504i \(-0.0760015\pi\)
\(32\) −5.60029 1.72746i −0.990001 0.305375i
\(33\) 2.64102 + 2.54184i 0.459743 + 0.442477i
\(34\) −1.52146 3.87661i −0.260928 0.664833i
\(35\) −8.02183 + 1.88183i −1.35594 + 0.318087i
\(36\) 3.75718 + 1.98156i 0.626197 + 0.330259i
\(37\) 1.65126 + 0.509346i 0.271466 + 0.0837360i 0.427499 0.904016i \(-0.359395\pi\)
−0.156034 + 0.987752i \(0.549871\pi\)
\(38\) 0.122033 + 0.153024i 0.0197963 + 0.0248238i
\(39\) 1.18823 4.80008i 0.190269 0.768628i
\(40\) −5.06915 + 6.35651i −0.801503 + 1.00505i
\(41\) 5.65735 + 3.85712i 0.883530 + 0.602380i 0.917805 0.397032i \(-0.129960\pi\)
−0.0342751 + 0.999412i \(0.510912\pi\)
\(42\) 1.55811 3.13662i 0.240421 0.483991i
\(43\) −8.60068 + 5.86385i −1.31159 + 0.894228i −0.998460 0.0554815i \(-0.982331\pi\)
−0.313132 + 0.949710i \(0.601378\pi\)
\(44\) −0.223924 + 2.98806i −0.0337579 + 0.450468i
\(45\) 7.07630 6.10036i 1.05487 0.909387i
\(46\) 1.14308 + 0.779338i 0.168538 + 0.114907i
\(47\) −2.86688 + 7.30469i −0.418178 + 1.06550i 0.554262 + 0.832343i \(0.313001\pi\)
−0.972439 + 0.233157i \(0.925095\pi\)
\(48\) 0.296574 + 1.41831i 0.0428068 + 0.204716i
\(49\) 6.34291 + 2.96100i 0.906130 + 0.423000i
\(50\) 1.79553 + 3.10995i 0.253926 + 0.439813i
\(51\) −6.01827 + 7.27019i −0.842726 + 1.01803i
\(52\) 3.64204 1.75391i 0.505060 0.243224i
\(53\) −2.28148 + 0.703745i −0.313386 + 0.0966667i −0.447458 0.894305i \(-0.647671\pi\)
0.134072 + 0.990972i \(0.457195\pi\)
\(54\) 0.0794291 + 3.97044i 0.0108089 + 0.540308i
\(55\) 5.93800 + 2.85959i 0.800680 + 0.385587i
\(56\) 6.72458 1.57751i 0.898609 0.210804i
\(57\) 0.169570 0.409881i 0.0224601 0.0542900i
\(58\) 4.63154 5.80776i 0.608151 0.762597i
\(59\) −10.4594 + 7.13109i −1.36170 + 0.928388i −0.999992 0.00390502i \(-0.998757\pi\)
−0.361703 + 0.932293i \(0.617805\pi\)
\(60\) 7.53013 + 1.27606i 0.972135 + 0.164738i
\(61\) 10.7798 10.0022i 1.38022 1.28065i 0.460724 0.887543i \(-0.347590\pi\)
0.919491 0.393110i \(-0.128601\pi\)
\(62\) 3.66464 + 4.59531i 0.465410 + 0.583605i
\(63\) −7.92947 + 0.351433i −0.999019 + 0.0442764i
\(64\) 1.74948 2.19378i 0.218685 0.274223i
\(65\) −0.664439 8.86632i −0.0824135 1.09973i
\(66\) −2.54577 + 1.16919i −0.313362 + 0.143917i
\(67\) 1.42219 2.46330i 0.173748 0.300940i −0.765979 0.642865i \(-0.777746\pi\)
0.939727 + 0.341925i \(0.111079\pi\)
\(68\) −7.71525 −0.935612
\(69\) 0.291374 3.12180i 0.0350773 0.375820i
\(70\) 0.901035 6.23244i 0.107694 0.744919i
\(71\) −0.403388 + 1.76736i −0.0478733 + 0.209747i −0.993208 0.116356i \(-0.962879\pi\)
0.945334 + 0.326103i \(0.105736\pi\)
\(72\) −5.93196 + 5.11384i −0.699088 + 0.602671i
\(73\) −3.54969 0.535030i −0.415460 0.0626205i −0.0620135 0.998075i \(-0.519752\pi\)
−0.353446 + 0.935455i \(0.614990\pi\)
\(74\) −0.823426 + 1.03254i −0.0957214 + 0.120031i
\(75\) 4.19726 6.97257i 0.484658 0.805123i
\(76\) 0.346497 0.106880i 0.0397460 0.0122600i
\(77\) −2.45972 5.02994i −0.280311 0.573215i
\(78\) 3.08317 + 2.18561i 0.349100 + 0.247472i
\(79\) −3.41927 5.92235i −0.384698 0.666317i 0.607029 0.794680i \(-0.292361\pi\)
−0.991727 + 0.128363i \(0.959028\pi\)
\(80\) 1.30266 + 2.25627i 0.145642 + 0.252259i
\(81\) 7.78640 4.51353i 0.865156 0.501503i
\(82\) −4.32371 + 2.94786i −0.477474 + 0.325536i
\(83\) 2.58380 + 6.58343i 0.283609 + 0.722625i 0.999697 + 0.0246146i \(0.00783586\pi\)
−0.716088 + 0.698010i \(0.754069\pi\)
\(84\) −4.35472 4.81006i −0.475139 0.524820i
\(85\) −6.19973 + 15.7967i −0.672456 + 1.71339i
\(86\) −1.77028 7.75610i −0.190894 0.836362i
\(87\) −16.5983 2.81276i −1.77953 0.301559i
\(88\) −4.97774 2.39715i −0.530628 0.255537i
\(89\) −4.71782 12.0208i −0.500088 1.27420i −0.928740 0.370733i \(-0.879107\pi\)
0.428652 0.903470i \(-0.358989\pi\)
\(90\) 2.36417 + 6.73764i 0.249206 + 0.710210i
\(91\) −4.21741 + 6.26655i −0.442104 + 0.656913i
\(92\) 2.11770 1.44383i 0.220786 0.150529i
\(93\) 5.09217 12.3087i 0.528034 1.27635i
\(94\) −4.39632 4.07919i −0.453446 0.420736i
\(95\) 0.0596013 0.795324i 0.00611497 0.0815986i
\(96\) −10.0083 1.69601i −1.02147 0.173098i
\(97\) −0.395512 + 0.685048i −0.0401582 + 0.0695561i −0.885406 0.464819i \(-0.846120\pi\)
0.845248 + 0.534375i \(0.179453\pi\)
\(98\) −3.87760 + 3.68580i −0.391697 + 0.372322i
\(99\) 5.11154 + 3.76563i 0.513729 + 0.378460i
\(100\) 6.57860 0.991564i 0.657860 0.0991564i
\(101\) 4.34497 2.09243i 0.432341 0.208204i −0.205040 0.978754i \(-0.565732\pi\)
0.637380 + 0.770549i \(0.280018\pi\)
\(102\) −3.49185 6.31156i −0.345745 0.624937i
\(103\) −17.6494 + 8.49948i −1.73904 + 0.837479i −0.755888 + 0.654701i \(0.772795\pi\)
−0.983154 + 0.182778i \(0.941491\pi\)
\(104\) 0.556989 + 7.43250i 0.0546173 + 0.728817i
\(105\) −13.3477 + 5.05089i −1.30260 + 0.492917i
\(106\) 0.136362 1.81962i 0.0132446 0.176737i
\(107\) −3.97305 10.1232i −0.384089 0.978644i −0.983935 0.178528i \(-0.942867\pi\)
0.599846 0.800116i \(-0.295229\pi\)
\(108\) 6.90105 + 2.55038i 0.664053 + 0.245410i
\(109\) 5.17961 13.1974i 0.496117 1.26409i −0.435351 0.900261i \(-0.643376\pi\)
0.931468 0.363824i \(-0.118529\pi\)
\(110\) −3.69240 + 3.42605i −0.352056 + 0.326661i
\(111\) 2.95097 + 0.500072i 0.280093 + 0.0474647i
\(112\) 0.316698 2.19059i 0.0299251 0.206991i
\(113\) 2.19871 + 0.331402i 0.206837 + 0.0311757i 0.251644 0.967820i \(-0.419029\pi\)
−0.0448062 + 0.998996i \(0.514267\pi\)
\(114\) 0.244256 + 0.235083i 0.0228767 + 0.0220176i
\(115\) −1.25446 5.49613i −0.116979 0.512517i
\(116\) −6.88105 11.9183i −0.638889 1.10659i
\(117\) 0.951577 8.51190i 0.0879733 0.786926i
\(118\) −2.15286 9.43228i −0.198186 0.868311i
\(119\) 12.4416 7.28342i 1.14052 0.667670i
\(120\) −7.26261 + 12.0648i −0.662982 + 1.10136i
\(121\) 1.45114 6.35785i 0.131922 0.577986i
\(122\) 4.10600 + 10.4619i 0.371740 + 0.947178i
\(123\) 10.5893 + 5.33997i 0.954806 + 0.481489i
\(124\) 10.4053 3.20961i 0.934424 0.288232i
\(125\) −0.208789 + 0.914766i −0.0186747 + 0.0818192i
\(126\) 1.96402 5.73942i 0.174969 0.511308i
\(127\) 1.73238 + 7.59006i 0.153724 + 0.673509i 0.991783 + 0.127930i \(0.0408332\pi\)
−0.838059 + 0.545579i \(0.816310\pi\)
\(128\) −4.78842 8.29379i −0.423241 0.733074i
\(129\) −13.4385 + 12.0198i −1.18319 + 1.05829i
\(130\) 6.49332 + 2.00292i 0.569502 + 0.175668i
\(131\) 9.23838 + 4.44897i 0.807161 + 0.388708i 0.791500 0.611169i \(-0.209300\pi\)
0.0156610 + 0.999877i \(0.495015\pi\)
\(132\) 0.293255 + 5.18170i 0.0255246 + 0.451009i
\(133\) −0.457863 + 0.499459i −0.0397018 + 0.0433085i
\(134\) 1.35538 + 1.69959i 0.117087 + 0.146822i
\(135\) 10.7673 12.0802i 0.926698 1.03970i
\(136\) 5.19714 13.2421i 0.445651 1.13550i
\(137\) −3.11153 1.49843i −0.265836 0.128020i 0.296218 0.955120i \(-0.404274\pi\)
−0.562054 + 0.827100i \(0.689989\pi\)
\(138\) 2.13959 + 1.07895i 0.182134 + 0.0918465i
\(139\) −4.51023 3.07502i −0.382553 0.260820i 0.356741 0.934203i \(-0.383888\pi\)
−0.739294 + 0.673383i \(0.764840\pi\)
\(140\) −10.1384 5.77227i −0.856850 0.487846i
\(141\) −3.26594 + 13.1934i −0.275042 + 1.11109i
\(142\) −1.14472 0.780460i −0.0960632 0.0654948i
\(143\) 5.77351 1.78089i 0.482805 0.148926i
\(144\) 0.830964 + 2.36816i 0.0692470 + 0.197347i
\(145\) −29.9317 + 4.51148i −2.48569 + 0.374658i
\(146\) 1.37177 2.37598i 0.113529 0.196637i
\(147\) 11.5632 + 3.64572i 0.953721 + 0.300694i
\(148\) 1.22336 + 2.11892i 0.100560 + 0.174174i
\(149\) 9.18067 + 11.5122i 0.752110 + 0.943116i 0.999668 0.0257569i \(-0.00819959\pi\)
−0.247558 + 0.968873i \(0.579628\pi\)
\(150\) 3.78857 + 4.93293i 0.309336 + 0.402772i
\(151\) −2.27849 + 9.98272i −0.185421 + 0.812382i 0.793570 + 0.608479i \(0.208220\pi\)
−0.978991 + 0.203903i \(0.934637\pi\)
\(152\) −0.0499629 + 0.666709i −0.00405253 + 0.0540772i
\(153\) −8.68512 + 13.8490i −0.702150 + 1.11962i
\(154\) 4.26526 0.345482i 0.343705 0.0278397i
\(155\) 1.78983 23.8836i 0.143762 1.91838i
\(156\) 5.85605 3.83781i 0.468859 0.307271i
\(157\) −3.69103 + 2.51650i −0.294576 + 0.200839i −0.701585 0.712586i \(-0.747524\pi\)
0.407009 + 0.913424i \(0.366572\pi\)
\(158\) 5.16808 0.778963i 0.411150 0.0619710i
\(159\) −3.75799 + 1.72592i −0.298028 + 0.136874i
\(160\) −18.0479 + 2.72028i −1.42681 + 0.215057i
\(161\) −2.05199 + 4.32749i −0.161720 + 0.341054i
\(162\) 1.03698 + 6.79976i 0.0814728 + 0.534240i
\(163\) 0.00920253 0.00627418i 0.000720798 0.000491431i −0.562960 0.826484i \(-0.690337\pi\)
0.563680 + 0.825993i \(0.309385\pi\)
\(164\) 2.15730 + 9.45176i 0.168457 + 0.738058i
\(165\) 10.8450 + 3.56342i 0.844280 + 0.277412i
\(166\) −5.40511 −0.419518
\(167\) 3.36342 3.12080i 0.260269 0.241495i −0.539235 0.842156i \(-0.681286\pi\)
0.799504 + 0.600661i \(0.205096\pi\)
\(168\) 11.1892 4.23409i 0.863265 0.326667i
\(169\) 3.55465 + 3.29823i 0.273435 + 0.253710i
\(170\) −9.50721 8.82140i −0.729169 0.676570i
\(171\) 0.198203 0.742283i 0.0151570 0.0567638i
\(172\) −14.5741 2.19669i −1.11127 0.167496i
\(173\) 13.8673 4.27750i 1.05431 0.325213i 0.281311 0.959617i \(-0.409231\pi\)
0.773002 + 0.634404i \(0.218754\pi\)
\(174\) 6.63563 11.0233i 0.503046 0.835671i
\(175\) −9.67258 + 7.80939i −0.731178 + 0.590334i
\(176\) −1.29781 + 1.20419i −0.0978263 + 0.0907695i
\(177\) −16.3427 + 14.6175i −1.22839 + 1.09872i
\(178\) 9.86930 0.739735
\(179\) −5.51644 + 5.11851i −0.412318 + 0.382575i −0.858880 0.512178i \(-0.828839\pi\)
0.446561 + 0.894753i \(0.352648\pi\)
\(180\) 13.2197 + 0.483151i 0.985337 + 0.0360119i
\(181\) 6.97439 8.74561i 0.518402 0.650056i −0.451866 0.892086i \(-0.649242\pi\)
0.970269 + 0.242030i \(0.0778131\pi\)
\(182\) −3.28067 4.75013i −0.243179 0.352103i
\(183\) 16.2417 19.6203i 1.20062 1.45037i
\(184\) 1.05159 + 4.60732i 0.0775243 + 0.339656i
\(185\) 5.32146 0.802081i 0.391242 0.0589702i
\(186\) 7.33501 + 7.05955i 0.537829 + 0.517631i
\(187\) −11.4028 1.71870i −0.833858 0.125684i
\(188\) −10.0105 + 4.82078i −0.730087 + 0.351591i
\(189\) −13.5363 + 2.40205i −0.984618 + 0.174723i
\(190\) 0.549179 + 0.264471i 0.0398416 + 0.0191867i
\(191\) −5.07955 3.46318i −0.367544 0.250587i 0.365438 0.930836i \(-0.380919\pi\)
−0.732981 + 0.680249i \(0.761872\pi\)
\(192\) 2.50649 4.16384i 0.180891 0.300499i
\(193\) 2.00122 26.7044i 0.144051 1.92223i −0.193825 0.981036i \(-0.562089\pi\)
0.337876 0.941191i \(-0.390292\pi\)
\(194\) −0.376932 0.472658i −0.0270621 0.0339349i
\(195\) −3.15202 15.0740i −0.225721 1.07947i
\(196\) 3.73187 + 9.18189i 0.266562 + 0.655849i
\(197\) 10.9935 0.783252 0.391626 0.920125i \(-0.371913\pi\)
0.391626 + 0.920125i \(0.371913\pi\)
\(198\) −4.10623 + 2.58509i −0.291817 + 0.183714i
\(199\) −7.70722 5.25469i −0.546350 0.372495i 0.258465 0.966021i \(-0.416783\pi\)
−0.804815 + 0.593525i \(0.797736\pi\)
\(200\) −2.72960 + 11.9591i −0.193012 + 0.845639i
\(201\) 1.88335 4.55241i 0.132842 0.321102i
\(202\) 0.275433 + 3.67540i 0.0193794 + 0.258600i
\(203\) 22.3476 + 12.7236i 1.56850 + 0.893020i
\(204\) −13.2481 + 1.75000i −0.927554 + 0.122525i
\(205\) 21.0856 + 3.17815i 1.47268 + 0.221971i
\(206\) −1.11881 14.9295i −0.0779515 1.04019i
\(207\) −0.207769 5.42663i −0.0144410 0.377177i
\(208\) 2.28229 + 0.703992i 0.158248 + 0.0488131i
\(209\) 0.535918 0.0807767i 0.0370703 0.00558744i
\(210\) 0.133535 10.9063i 0.00921477 0.752607i
\(211\) 18.2620 + 2.75255i 1.25720 + 0.189493i 0.743653 0.668566i \(-0.233091\pi\)
0.513552 + 0.858059i \(0.328330\pi\)
\(212\) −3.04576 1.46676i −0.209184 0.100738i
\(213\) −0.291793 + 3.12629i −0.0199933 + 0.214210i
\(214\) 8.31131 0.568149
\(215\) −16.2089 + 28.0747i −1.10544 + 1.91468i
\(216\) −9.02603 + 10.1267i −0.614144 + 0.689031i
\(217\) −13.7496 + 14.9987i −0.933385 + 1.01818i
\(218\) 7.94286 + 7.36990i 0.537959 + 0.499153i
\(219\) −6.21665 0.113565i −0.420082 0.00767399i
\(220\) 3.40927 + 8.68668i 0.229853 + 0.585656i
\(221\) 5.68353 + 14.4814i 0.382316 + 0.974125i
\(222\) −1.17973 + 1.95979i −0.0791782 + 0.131532i
\(223\) 13.2541 + 12.2980i 0.887560 + 0.823535i 0.985151 0.171691i \(-0.0549232\pi\)
−0.0975909 + 0.995227i \(0.531114\pi\)
\(224\) 13.4749 + 7.67192i 0.900331 + 0.512601i
\(225\) 5.62571 12.9249i 0.375048 0.861659i
\(226\) −0.849689 + 1.47170i −0.0565204 + 0.0978963i
\(227\) −0.347328 −0.0230530 −0.0115265 0.999934i \(-0.503669\pi\)
−0.0115265 + 0.999934i \(0.503669\pi\)
\(228\) 0.570739 0.262121i 0.0377981 0.0173594i
\(229\) −2.47326 1.19106i −0.163437 0.0787073i 0.350377 0.936609i \(-0.386054\pi\)
−0.513814 + 0.857902i \(0.671768\pi\)
\(230\) 4.26040 + 0.642151i 0.280922 + 0.0423422i
\(231\) −5.36458 8.07916i −0.352963 0.531570i
\(232\) 25.0913 3.78190i 1.64732 0.248294i
\(233\) 9.29264 + 2.86640i 0.608781 + 0.187784i 0.583791 0.811904i \(-0.301569\pi\)
0.0249895 + 0.999688i \(0.492045\pi\)
\(234\) 5.78996 + 3.05365i 0.378501 + 0.199624i
\(235\) 1.82627 + 24.3698i 0.119132 + 1.58971i
\(236\) −17.7237 2.67142i −1.15372 0.173895i
\(237\) −7.21468 9.39391i −0.468644 0.610200i
\(238\) 1.70776 + 10.8850i 0.110698 + 0.705572i
\(239\) 0.439440 + 5.86393i 0.0284250 + 0.379306i 0.993216 + 0.116287i \(0.0370992\pi\)
−0.964791 + 0.263019i \(0.915282\pi\)
\(240\) 2.74862 + 3.57885i 0.177422 + 0.231014i
\(241\) −5.45900 + 23.9174i −0.351645 + 1.54066i 0.421738 + 0.906718i \(0.361420\pi\)
−0.773383 + 0.633939i \(0.781437\pi\)
\(242\) 4.11801 + 2.80761i 0.264715 + 0.180480i
\(243\) 12.3465 9.51648i 0.792030 0.610482i
\(244\) 20.8214 1.33295
\(245\) 21.7983 0.262578i 1.39265 0.0167755i
\(246\) −6.75575 + 6.04259i −0.430731 + 0.385261i
\(247\) −0.455864 0.571635i −0.0290059 0.0363723i
\(248\) −1.50039 + 20.0212i −0.0952745 + 1.27135i
\(249\) 5.93002 + 10.7186i 0.375800 + 0.679261i
\(250\) −0.592498 0.403958i −0.0374729 0.0255486i
\(251\) 9.86446 + 4.75047i 0.622639 + 0.299847i 0.718478 0.695550i \(-0.244839\pi\)
−0.0958388 + 0.995397i \(0.530553\pi\)
\(252\) −8.56867 7.27177i −0.539775 0.458078i
\(253\) 3.45152 1.66216i 0.216995 0.104499i
\(254\) −5.88353 0.886800i −0.369166 0.0556428i
\(255\) −7.06272 + 28.5312i −0.442285 + 1.78670i
\(256\) 12.7867 1.92729i 0.799169 0.120455i
\(257\) −2.91713 12.7808i −0.181965 0.797242i −0.980694 0.195551i \(-0.937351\pi\)
0.798728 0.601692i \(-0.205507\pi\)
\(258\) −4.79907 12.9167i −0.298777 0.804160i
\(259\) −3.97311 2.26208i −0.246877 0.140559i
\(260\) 7.84913 9.84250i 0.486782 0.610406i
\(261\) −29.1396 1.06499i −1.80370 0.0659212i
\(262\) −5.74466 + 5.33027i −0.354906 + 0.329305i
\(263\) 18.7409 1.15561 0.577807 0.816173i \(-0.303908\pi\)
0.577807 + 0.816173i \(0.303908\pi\)
\(264\) −9.09117 2.98716i −0.559523 0.183847i
\(265\) −5.45061 + 5.05743i −0.334829 + 0.310675i
\(266\) −0.227488 0.465197i −0.0139482 0.0285230i
\(267\) −10.8277 19.5712i −0.662646 1.19774i
\(268\) 3.84843 1.18708i 0.235080 0.0725126i
\(269\) −20.5209 3.09303i −1.25118 0.188585i −0.510167 0.860075i \(-0.670416\pi\)
−0.741013 + 0.671490i \(0.765655\pi\)
\(270\) 5.58786 + 11.0332i 0.340066 + 0.671459i
\(271\) 7.26802 + 6.74373i 0.441501 + 0.409653i 0.869350 0.494198i \(-0.164538\pi\)
−0.427849 + 0.903850i \(0.640729\pi\)
\(272\) −3.34161 3.10056i −0.202615 0.187999i
\(273\) −5.82045 + 11.7171i −0.352270 + 0.709153i
\(274\) 1.93483 1.79526i 0.116887 0.108456i
\(275\) 9.94380 0.599634
\(276\) 3.30889 2.95959i 0.199172 0.178146i
\(277\) −2.41890 10.5979i −0.145337 0.636765i −0.994144 0.108062i \(-0.965536\pi\)
0.848807 0.528703i \(-0.177322\pi\)
\(278\) 3.44701 2.35013i 0.206738 0.140952i
\(279\) 5.95204 22.2907i 0.356340 1.33451i
\(280\) 16.7367 13.5128i 1.00021 0.807541i
\(281\) −7.35756 + 1.10897i −0.438915 + 0.0661558i −0.364783 0.931093i \(-0.618857\pi\)
−0.0741323 + 0.997248i \(0.523619\pi\)
\(282\) −8.47433 6.00733i −0.504639 0.357731i
\(283\) 1.21356 0.182915i 0.0721386 0.0108731i −0.112874 0.993609i \(-0.536006\pi\)
0.185012 + 0.982736i \(0.440767\pi\)
\(284\) −2.12075 + 1.44590i −0.125844 + 0.0857987i
\(285\) −0.0780548 1.37920i −0.00462357 0.0816966i
\(286\) −0.345076 + 4.60472i −0.0204048 + 0.272283i
\(287\) −12.4016 13.2053i −0.732043 0.779487i
\(288\) −17.5703 0.642155i −1.03534 0.0378394i
\(289\) 0.948453 12.6562i 0.0557913 0.744483i
\(290\) 5.14782 22.5541i 0.302291 1.32442i
\(291\) −0.523763 + 1.26603i −0.0307035 + 0.0742160i
\(292\) −3.16906 3.97387i −0.185455 0.232553i
\(293\) 10.9372 + 18.9437i 0.638956 + 1.10670i 0.985662 + 0.168731i \(0.0539669\pi\)
−0.346706 + 0.937974i \(0.612700\pi\)
\(294\) −5.82234 + 7.20854i −0.339566 + 0.420410i
\(295\) −19.7119 + 34.1419i −1.14767 + 1.98782i
\(296\) −4.46090 + 0.672373i −0.259285 + 0.0390809i
\(297\) 9.63133 + 5.30668i 0.558866 + 0.307925i
\(298\) −10.7536 + 3.31704i −0.622937 + 0.192151i
\(299\) −4.27007 2.91129i −0.246945 0.168364i
\(300\) 11.0714 3.19483i 0.639209 0.184454i
\(301\) 25.5759 10.2160i 1.47417 0.588840i
\(302\) −6.46585 4.40834i −0.372068 0.253672i
\(303\) 6.98629 4.57852i 0.401352 0.263029i
\(304\) 0.193027 + 0.0929567i 0.0110708 + 0.00533143i
\(305\) 16.7314 42.6310i 0.958038 2.44104i
\(306\) −7.42759 10.0458i −0.424607 0.574278i
\(307\) 21.7244 + 27.2415i 1.23988 + 1.55475i 0.703274 + 0.710919i \(0.251721\pi\)
0.536602 + 0.843836i \(0.319708\pi\)
\(308\) 2.29111 7.58957i 0.130548 0.432456i
\(309\) −28.3784 + 18.5980i −1.61439 + 1.05801i
\(310\) 16.4918 + 7.94205i 0.936673 + 0.451078i
\(311\) 1.79262 + 0.552950i 0.101650 + 0.0313549i 0.345163 0.938543i \(-0.387824\pi\)
−0.243513 + 0.969898i \(0.578300\pi\)
\(312\) 2.64229 + 12.6363i 0.149590 + 0.715388i
\(313\) 11.8588 + 20.5400i 0.670298 + 1.16099i 0.977820 + 0.209449i \(0.0671669\pi\)
−0.307522 + 0.951541i \(0.599500\pi\)
\(314\) −0.759724 3.32857i −0.0428737 0.187842i
\(315\) −21.7742 + 11.7006i −1.22683 + 0.659256i
\(316\) 2.15460 9.43993i 0.121206 0.531038i
\(317\) −10.2686 + 3.16744i −0.576741 + 0.177901i −0.569384 0.822072i \(-0.692818\pi\)
−0.00735747 + 0.999973i \(0.502342\pi\)
\(318\) −0.178581 3.15547i −0.0100144 0.176950i
\(319\) −7.51491 19.1477i −0.420754 1.07206i
\(320\) 1.94450 8.51941i 0.108701 0.476250i
\(321\) −9.11844 16.4817i −0.508941 0.919917i
\(322\) −2.50577 2.66817i −0.139641 0.148691i
\(323\) 0.310522 + 1.36048i 0.0172779 + 0.0756994i
\(324\) 12.4285 + 2.81403i 0.690473 + 0.156335i
\(325\) −6.70736 11.6175i −0.372057 0.644422i
\(326\) 0.00189416 + 0.00829884i 0.000104908 + 0.000459631i
\(327\) 5.90060 23.8366i 0.326304 1.31817i
\(328\) −17.6758 2.66419i −0.975981 0.147105i
\(329\) 11.5919 17.2241i 0.639081 0.949598i
\(330\) −5.56324 + 6.72051i −0.306246 + 0.369952i
\(331\) −16.8073 + 15.5949i −0.923813 + 0.857173i −0.990062 0.140630i \(-0.955087\pi\)
0.0662494 + 0.997803i \(0.478897\pi\)
\(332\) −3.65841 + 9.32148i −0.200781 + 0.511582i
\(333\) 5.18064 + 0.189341i 0.283897 + 0.0103758i
\(334\) 1.28112 + 3.26423i 0.0700995 + 0.178611i
\(335\) 0.661972 8.83340i 0.0361674 0.482620i
\(336\) 0.0469351 3.83337i 0.00256052 0.209128i
\(337\) −0.993891 13.2626i −0.0541407 0.722458i −0.956548 0.291574i \(-0.905821\pi\)
0.902408 0.430884i \(-0.141798\pi\)
\(338\) −3.33899 + 1.60797i −0.181617 + 0.0874623i
\(339\) 3.85065 + 0.0703431i 0.209139 + 0.00382051i
\(340\) −21.6480 + 10.4251i −1.17403 + 0.565381i
\(341\) 16.0936 2.42572i 0.871519 0.131360i
\(342\) 0.472743 + 0.348267i 0.0255630 + 0.0188321i
\(343\) −14.6860 11.2837i −0.792968 0.609263i
\(344\) 13.5877 23.5346i 0.732600 1.26890i
\(345\) −3.40072 9.15305i −0.183089 0.492784i
\(346\) −0.828835 + 11.0600i −0.0445584 + 0.594591i
\(347\) −3.38523 3.14104i −0.181729 0.168620i 0.584063 0.811708i \(-0.301462\pi\)
−0.765792 + 0.643089i \(0.777653\pi\)
\(348\) −14.5190 18.9046i −0.778303 1.01339i
\(349\) −15.4837 + 10.5566i −0.828821 + 0.565081i −0.901751 0.432256i \(-0.857718\pi\)
0.0729294 + 0.997337i \(0.476765\pi\)
\(350\) −2.85511 9.06191i −0.152612 0.484380i
\(351\) −0.296714 14.8319i −0.0158374 0.791670i
\(352\) −4.53126 11.5455i −0.241517 0.615375i
\(353\) −25.5553 12.3068i −1.36017 0.655023i −0.395495 0.918468i \(-0.629427\pi\)
−0.964674 + 0.263445i \(0.915141\pi\)
\(354\) −5.83621 15.7082i −0.310191 0.834880i
\(355\) 1.25626 + 5.50404i 0.0666754 + 0.292124i
\(356\) 6.67996 17.0203i 0.354037 0.902072i
\(357\) 19.7119 15.3287i 1.04326 0.811279i
\(358\) −2.10119 5.35376i −0.111052 0.282955i
\(359\) −10.6559 + 7.26507i −0.562397 + 0.383436i −0.810891 0.585198i \(-0.801017\pi\)
0.248494 + 0.968634i \(0.420065\pi\)
\(360\) −9.73429 + 22.3642i −0.513042 + 1.17870i
\(361\) 9.46721 + 16.3977i 0.498274 + 0.863036i
\(362\) 4.27455 + 7.40374i 0.224665 + 0.389132i
\(363\) 1.04969 11.2464i 0.0550944 0.590285i
\(364\) −10.4124 + 2.44263i −0.545759 + 0.128029i
\(365\) −10.6829 + 3.29524i −0.559169 + 0.172481i
\(366\) 9.42357 + 17.0332i 0.492578 + 0.890339i
\(367\) 3.59453 4.50740i 0.187633 0.235284i −0.679114 0.734033i \(-0.737636\pi\)
0.866746 + 0.498749i \(0.166207\pi\)
\(368\) 1.49745 + 0.225705i 0.0780601 + 0.0117657i
\(369\) 19.3945 + 6.76754i 1.00964 + 0.352304i
\(370\) −0.915215 + 4.00982i −0.0475798 + 0.208461i
\(371\) 6.29626 0.509990i 0.326886 0.0264774i
\(372\) 17.1393 7.87150i 0.888631 0.408118i
\(373\) 22.8695 1.18414 0.592068 0.805888i \(-0.298312\pi\)
0.592068 + 0.805888i \(0.298312\pi\)
\(374\) 4.40661 7.63247i 0.227860 0.394666i
\(375\) −0.151029 + 1.61813i −0.00779910 + 0.0835601i
\(376\) −1.53093 20.4288i −0.0789517 1.05354i
\(377\) −17.3015 + 21.6954i −0.891073 + 1.11737i
\(378\) 2.07066 10.3008i 0.106503 0.529818i
\(379\) 8.86535 + 11.1168i 0.455383 + 0.571032i 0.955525 0.294912i \(-0.0952902\pi\)
−0.500142 + 0.865943i \(0.666719\pi\)
\(380\) 0.827804 0.768090i 0.0424655 0.0394022i
\(381\) 4.69634 + 12.6402i 0.240601 + 0.647578i
\(382\) 3.88212 2.64679i 0.198627 0.135421i
\(383\) −7.59514 + 9.52401i −0.388094 + 0.486654i −0.937049 0.349198i \(-0.886454\pi\)
0.548955 + 0.835852i \(0.315026\pi\)
\(384\) −10.1036 13.1554i −0.515597 0.671335i
\(385\) −13.6983 10.7897i −0.698128 0.549893i
\(386\) 18.4397 + 8.88007i 0.938554 + 0.451984i
\(387\) −20.3493 + 23.6879i −1.03441 + 1.20412i
\(388\) −1.07025 + 0.330129i −0.0543339 + 0.0167598i
\(389\) −6.48225 + 3.12168i −0.328663 + 0.158276i −0.590937 0.806718i \(-0.701242\pi\)
0.262274 + 0.964993i \(0.415528\pi\)
\(390\) 11.6042 + 1.96645i 0.587602 + 0.0995752i
\(391\) 4.93191 + 8.54231i 0.249417 + 0.432003i
\(392\) −18.2732 + 0.220115i −0.922937 + 0.0111175i
\(393\) 16.8727 + 5.54400i 0.851114 + 0.279658i
\(394\) −3.06956 + 7.82112i −0.154642 + 0.394022i
\(395\) −17.5965 11.9971i −0.885376 0.603639i
\(396\) 1.67889 + 8.83116i 0.0843674 + 0.443782i
\(397\) 1.02953 13.7381i 0.0516707 0.689498i −0.909880 0.414871i \(-0.863827\pi\)
0.961551 0.274627i \(-0.0885543\pi\)
\(398\) 5.89035 4.01597i 0.295257 0.201303i
\(399\) −0.672924 + 0.961492i −0.0336883 + 0.0481348i
\(400\) 3.24779 + 2.21431i 0.162390 + 0.110715i
\(401\) −6.31873 + 7.92343i −0.315542 + 0.395677i −0.914157 0.405359i \(-0.867146\pi\)
0.598615 + 0.801037i \(0.295718\pi\)
\(402\) 2.71287 + 2.61099i 0.135306 + 0.130224i
\(403\) −13.6896 17.1662i −0.681927 0.855109i
\(404\) 6.52489 + 2.01266i 0.324626 + 0.100134i
\(405\) 15.7488 23.1856i 0.782562 1.15210i
\(406\) −15.2918 + 12.3462i −0.758920 + 0.612732i
\(407\) 1.33605 + 3.40421i 0.0662257 + 0.168740i
\(408\) 5.92057 23.9173i 0.293112 1.18408i
\(409\) 29.7386 + 9.17314i 1.47048 + 0.453582i 0.923511 0.383572i \(-0.125306\pi\)
0.546967 + 0.837154i \(0.315782\pi\)
\(410\) −8.14851 + 14.1136i −0.402426 + 0.697023i
\(411\) −5.68280 1.86724i −0.280312 0.0921044i
\(412\) −26.5042 8.17547i −1.30577 0.402777i
\(413\) 31.1032 12.4238i 1.53049 0.611334i
\(414\) 3.91870 + 1.36739i 0.192594 + 0.0672038i
\(415\) 16.1456 + 14.9809i 0.792554 + 0.735383i
\(416\) −10.4323 + 13.0816i −0.511484 + 0.641381i
\(417\) −8.44216 4.25720i −0.413414 0.208476i
\(418\) −0.0921703 + 0.403825i −0.00450820 + 0.0197517i
\(419\) 24.4321 7.53630i 1.19359 0.368172i 0.366591 0.930382i \(-0.380525\pi\)
0.826994 + 0.562210i \(0.190049\pi\)
\(420\) −18.7183 7.61214i −0.913358 0.371434i
\(421\) 1.88571 + 0.581663i 0.0919037 + 0.0283485i 0.340366 0.940293i \(-0.389449\pi\)
−0.248462 + 0.968642i \(0.579925\pi\)
\(422\) −7.05730 + 12.2236i −0.343544 + 0.595036i
\(423\) −2.61549 + 23.3957i −0.127169 + 1.13754i
\(424\) 4.56917 4.23957i 0.221898 0.205892i
\(425\) 1.91334 + 25.5317i 0.0928106 + 1.23847i
\(426\) −2.14267 1.08050i −0.103813 0.0523506i
\(427\) −33.5766 + 19.6560i −1.62488 + 0.951221i
\(428\) 5.62544 14.3334i 0.271916 0.692831i
\(429\) 9.50994 4.36760i 0.459144 0.210870i
\(430\) −15.4475 19.3705i −0.744943 0.934129i
\(431\) 1.11149 + 14.8318i 0.0535384 + 0.714421i 0.957799 + 0.287439i \(0.0928040\pi\)
−0.904260 + 0.426982i \(0.859577\pi\)
\(432\) 1.96403 + 3.87797i 0.0944945 + 0.186579i
\(433\) −28.0906 + 13.5277i −1.34995 + 0.650100i −0.962371 0.271738i \(-0.912402\pi\)
−0.387576 + 0.921838i \(0.626687\pi\)
\(434\) −6.83147 13.9698i −0.327921 0.670574i
\(435\) −50.3734 + 14.5360i −2.41522 + 0.696949i
\(436\) 18.0859 8.70973i 0.866160 0.417121i
\(437\) −0.339833 0.315319i −0.0162564 0.0150837i
\(438\) 1.81659 4.39103i 0.0868000 0.209811i
\(439\) 5.91659 15.0752i 0.282383 0.719501i −0.717357 0.696706i \(-0.754648\pi\)
0.999740 0.0227950i \(-0.00725649\pi\)
\(440\) −17.2060 −0.820262
\(441\) 20.6826 + 3.63737i 0.984885 + 0.173208i
\(442\) −11.8895 −0.565526
\(443\) 8.81442 22.4588i 0.418786 1.06705i −0.553416 0.832905i \(-0.686676\pi\)
0.972202 0.234144i \(-0.0752288\pi\)
\(444\) 2.58130 + 3.36099i 0.122503 + 0.159505i
\(445\) −29.4805 27.3539i −1.39751 1.29670i
\(446\) −12.4500 + 5.99560i −0.589524 + 0.283900i
\(447\) 18.3757 + 17.6856i 0.869140 + 0.836500i
\(448\) −5.77622 + 4.66357i −0.272901 + 0.220333i
\(449\) 3.04602 1.46689i 0.143751 0.0692267i −0.360626 0.932711i \(-0.617437\pi\)
0.504376 + 0.863484i \(0.331722\pi\)
\(450\) 7.62440 + 7.61117i 0.359418 + 0.358794i
\(451\) 1.08287 + 14.4499i 0.0509904 + 0.680419i
\(452\) 1.96295 + 2.46146i 0.0923292 + 0.115777i
\(453\) −1.64816 + 17.6585i −0.0774373 + 0.829668i
\(454\) 0.0969800 0.247101i 0.00455150 0.0115970i
\(455\) −3.36589 + 23.2818i −0.157796 + 1.09147i
\(456\) 0.0654322 + 1.15616i 0.00306414 + 0.0541422i
\(457\) 0.575736 + 7.68266i 0.0269318 + 0.359380i 0.994347 + 0.106183i \(0.0338629\pi\)
−0.967415 + 0.253197i \(0.918518\pi\)
\(458\) 1.53793 1.42699i 0.0718630 0.0666791i
\(459\) −11.7723 + 25.7505i −0.549482 + 1.20193i
\(460\) 3.99105 6.91270i 0.186084 0.322306i
\(461\) 21.5000 + 6.63187i 1.00136 + 0.308877i 0.751734 0.659466i \(-0.229218\pi\)
0.249621 + 0.968344i \(0.419694\pi\)
\(462\) 7.24567 1.56070i 0.337099 0.0726104i
\(463\) 1.46690 0.452478i 0.0681725 0.0210284i −0.260481 0.965479i \(-0.583881\pi\)
0.328654 + 0.944450i \(0.393405\pi\)
\(464\) 1.80937 7.92736i 0.0839978 0.368018i
\(465\) −2.34398 41.4173i −0.108700 1.92068i
\(466\) −4.63392 + 5.81075i −0.214662 + 0.269178i
\(467\) 4.74458 + 4.40233i 0.219553 + 0.203715i 0.782279 0.622928i \(-0.214057\pi\)
−0.562726 + 0.826643i \(0.690247\pi\)
\(468\) 9.18511 7.91832i 0.424582 0.366025i
\(469\) −5.08533 + 5.54732i −0.234819 + 0.256151i
\(470\) −17.8474 5.50520i −0.823241 0.253936i
\(471\) −5.76719 + 5.15838i −0.265738 + 0.237686i
\(472\) 16.5242 28.6207i 0.760586 1.31737i
\(473\) −21.0506 6.49325i −0.967908 0.298560i
\(474\) 8.69760 2.50983i 0.399494 0.115280i
\(475\) −0.439623 1.12014i −0.0201713 0.0513956i
\(476\) 19.9278 + 4.42230i 0.913391 + 0.202696i
\(477\) −6.06149 + 3.81603i −0.277537 + 0.174724i
\(478\) −4.29449 1.32468i −0.196426 0.0605893i
\(479\) 13.6052 + 17.0604i 0.621636 + 0.779507i 0.988574 0.150738i \(-0.0481651\pi\)
−0.366937 + 0.930246i \(0.619594\pi\)
\(480\) −30.3736 + 8.76476i −1.38636 + 0.400055i
\(481\) 3.07598 3.85716i 0.140253 0.175871i
\(482\) −15.4914 10.5619i −0.705615 0.481080i
\(483\) −2.54197 + 7.89632i −0.115664 + 0.359295i
\(484\) 7.62915 5.20146i 0.346779 0.236430i
\(485\) −0.184095 + 2.45658i −0.00835934 + 0.111548i
\(486\) 3.32298 + 11.4409i 0.150733 + 0.518970i
\(487\) −20.3342 13.8636i −0.921431 0.628221i 0.00689987 0.999976i \(-0.497804\pi\)
−0.928331 + 0.371755i \(0.878756\pi\)
\(488\) −14.0257 + 35.7369i −0.634913 + 1.61773i
\(489\) 0.0143788 0.0128610i 0.000650234 0.000581593i
\(490\) −5.89967 + 15.5814i −0.266520 + 0.703896i
\(491\) −14.2974 24.7638i −0.645231 1.11757i −0.984248 0.176792i \(-0.943428\pi\)
0.339017 0.940780i \(-0.389905\pi\)
\(492\) 5.84826 + 15.7406i 0.263660 + 0.709642i
\(493\) 47.7177 22.9796i 2.14910 1.03495i
\(494\) 0.533966 0.164707i 0.0240242 0.00741050i
\(495\) 19.4305 + 3.65898i 0.873338 + 0.164459i
\(496\) 5.79658 + 2.79149i 0.260274 + 0.125341i
\(497\) 2.05495 4.33372i 0.0921770 0.194394i
\(498\) −9.28131 + 1.22601i −0.415905 + 0.0549387i
\(499\) −4.07849 + 5.11426i −0.182578 + 0.228946i −0.864695 0.502298i \(-0.832488\pi\)
0.682117 + 0.731243i \(0.261060\pi\)
\(500\) −1.09768 + 0.748386i −0.0490897 + 0.0334688i
\(501\) 5.06757 6.12173i 0.226402 0.273499i
\(502\) −6.13397 + 5.69150i −0.273773 + 0.254024i
\(503\) −5.86088 7.34931i −0.261324 0.327689i 0.633809 0.773490i \(-0.281491\pi\)
−0.895132 + 0.445800i \(0.852919\pi\)
\(504\) 18.2530 9.80847i 0.813051 0.436904i
\(505\) 9.36405 11.7421i 0.416695 0.522518i
\(506\) 0.218796 + 2.91963i 0.00972668 + 0.129793i
\(507\) 6.85193 + 4.85723i 0.304305 + 0.215717i
\(508\) −5.51157 + 9.54632i −0.244536 + 0.423549i
\(509\) 15.2324 0.675164 0.337582 0.941296i \(-0.390391\pi\)
0.337582 + 0.941296i \(0.390391\pi\)
\(510\) −18.3261 12.9911i −0.811491 0.575254i
\(511\) 8.86187 + 3.41658i 0.392026 + 0.151141i
\(512\) 2.06296 9.03843i 0.0911709 0.399446i
\(513\) 0.171975 1.31956i 0.00759287 0.0582598i
\(514\) 9.90718 + 1.49327i 0.436987 + 0.0658652i
\(515\) −38.0369 + 47.6968i −1.67611 + 2.10177i
\(516\) −25.5240 0.466267i −1.12363 0.0205263i
\(517\) −15.8690 + 4.89492i −0.697916 + 0.215279i
\(518\) 2.71868 2.19499i 0.119452 0.0964425i
\(519\) 22.8418 10.4905i 1.00264 0.460481i
\(520\) 11.6059 + 20.1020i 0.508952 + 0.881530i
\(521\) −21.4572 37.1650i −0.940057 1.62823i −0.765357 0.643606i \(-0.777438\pi\)
−0.174700 0.984622i \(-0.555896\pi\)
\(522\) 8.89394 20.4335i 0.389277 0.894351i
\(523\) 19.7439 13.4612i 0.863340 0.588615i −0.0486554 0.998816i \(-0.515494\pi\)
0.911995 + 0.410200i \(0.134541\pi\)
\(524\) 5.30417 + 13.5148i 0.231714 + 0.590397i
\(525\) −14.8378 + 15.6037i −0.647573 + 0.681003i
\(526\) −5.23279 + 13.3329i −0.228160 + 0.581343i
\(527\) 9.32496 + 40.8553i 0.406202 + 1.77969i
\(528\) −1.95538 + 2.36214i −0.0850969 + 0.102799i
\(529\) 17.7700 + 8.55756i 0.772607 + 0.372068i
\(530\) −2.07612 5.28987i −0.0901809 0.229777i
\(531\) −24.7470 + 28.8071i −1.07393 + 1.25012i
\(532\) −0.956236 + 0.0774540i −0.0414581 + 0.00335806i
\(533\) 16.1516 11.0120i 0.699603 0.476982i
\(534\) 16.9469 2.23859i 0.733365 0.0968732i
\(535\) −24.8266 23.0357i −1.07335 0.995921i
\(536\) −0.554921 + 7.40491i −0.0239689 + 0.319843i
\(537\) −8.31147 + 10.0404i −0.358667 + 0.433276i
\(538\) 7.93027 13.7356i 0.341898 0.592185i
\(539\) 3.47014 + 14.4018i 0.149469 + 0.620329i
\(540\) 22.8096 2.16890i 0.981567 0.0933346i
\(541\) 23.6027 3.55754i 1.01476 0.152951i 0.379454 0.925210i \(-0.376112\pi\)
0.635307 + 0.772260i \(0.280874\pi\)
\(542\) −6.82707 + 3.28775i −0.293248 + 0.141221i
\(543\) 9.99226 16.5993i 0.428809 0.712346i
\(544\) 28.7723 13.8560i 1.23360 0.594071i
\(545\) −3.29952 44.0291i −0.141336 1.88600i
\(546\) −6.71079 7.41249i −0.287195 0.317225i
\(547\) 1.79938 24.0111i 0.0769361 1.02664i −0.816469 0.577389i \(-0.804072\pi\)
0.893405 0.449252i \(-0.148309\pi\)
\(548\) −1.78647 4.55185i −0.0763141 0.194445i
\(549\) 23.4388 37.3747i 1.00034 1.59511i
\(550\) −2.77648 + 7.07435i −0.118389 + 0.301651i
\(551\) −1.82469 + 1.69307i −0.0777346 + 0.0721272i
\(552\) 2.85077 + 7.67287i 0.121337 + 0.326579i
\(553\) 5.43706 + 17.2568i 0.231207 + 0.733835i
\(554\) 8.21509 + 1.23823i 0.349026 + 0.0526071i
\(555\) 8.95573 2.58431i 0.380150 0.109698i
\(556\) −1.71987 7.53526i −0.0729389 0.319566i
\(557\) 8.84555 + 15.3209i 0.374798 + 0.649169i 0.990297 0.138968i \(-0.0443787\pi\)
−0.615499 + 0.788138i \(0.711045\pi\)
\(558\) 14.1965 + 10.4584i 0.600984 + 0.442741i
\(559\) 6.61303 + 28.9736i 0.279701 + 1.22545i
\(560\) −2.07139 6.57443i −0.0875321 0.277820i
\(561\) −19.9700 0.364809i −0.843136 0.0154023i
\(562\) 1.26540 5.54406i 0.0533775 0.233862i
\(563\) 1.91358 + 4.87573i 0.0806479 + 0.205488i 0.965510 0.260365i \(-0.0838429\pi\)
−0.884862 + 0.465853i \(0.845748\pi\)
\(564\) −16.0958 + 10.5485i −0.677756 + 0.444173i
\(565\) 6.61709 2.04110i 0.278383 0.0858698i
\(566\) −0.208715 + 0.914440i −0.00877294 + 0.0384368i
\(567\) −22.6987 + 7.19498i −0.953257 + 0.302161i
\(568\) −1.05310 4.61395i −0.0441873 0.193597i
\(569\) −23.5028 40.7080i −0.985288 1.70657i −0.640649 0.767834i \(-0.721335\pi\)
−0.344639 0.938735i \(-0.611999\pi\)
\(570\) 1.00300 + 0.329565i 0.0420111 + 0.0138040i
\(571\) −34.9467 10.7796i −1.46247 0.451113i −0.541487 0.840709i \(-0.682138\pi\)
−0.920986 + 0.389596i \(0.872615\pi\)
\(572\) 7.70758 + 3.71178i 0.322270 + 0.155197i
\(573\) −9.50781 4.79459i −0.397194 0.200297i
\(574\) 12.8575 5.13576i 0.536660 0.214362i
\(575\) −5.30317 6.64996i −0.221157 0.277323i
\(576\) 3.35953 7.71841i 0.139980 0.321600i
\(577\) 10.6479 27.1303i 0.443276 1.12945i −0.518370 0.855156i \(-0.673461\pi\)
0.961646 0.274293i \(-0.0884437\pi\)
\(578\) 8.73924 + 4.20859i 0.363504 + 0.175054i
\(579\) −2.62083 46.3090i −0.108918 1.92454i
\(580\) −35.4117 24.1433i −1.47039 1.00250i
\(581\) −2.90020 18.4854i −0.120320 0.766906i
\(582\) −0.754453 0.726120i −0.0312731 0.0300986i
\(583\) −4.17477 2.84631i −0.172901 0.117882i
\(584\) 8.95531 2.76235i 0.370574 0.114307i
\(585\) −8.83157 25.1691i −0.365141 1.04061i
\(586\) −16.5311 + 2.49166i −0.682892 + 0.102929i
\(587\) −11.1818 + 19.3674i −0.461521 + 0.799377i −0.999037 0.0438762i \(-0.986029\pi\)
0.537516 + 0.843253i \(0.319363\pi\)
\(588\) 8.49079 + 14.9201i 0.350154 + 0.615293i
\(589\) −0.984763 1.70566i −0.0405765 0.0702805i
\(590\) −18.7858 23.5567i −0.773400 0.969814i
\(591\) 18.8772 2.49358i 0.776506 0.102572i
\(592\) −0.321682 + 1.40938i −0.0132210 + 0.0579252i
\(593\) −2.60880 + 34.8120i −0.107130 + 1.42956i 0.641782 + 0.766887i \(0.278195\pi\)
−0.748913 + 0.662669i \(0.769424\pi\)
\(594\) −6.46459 + 5.37034i −0.265245 + 0.220348i
\(595\) 25.0679 37.2478i 1.02768 1.52701i
\(596\) −1.55802 + 20.7903i −0.0638190 + 0.851606i
\(597\) −14.4262 7.27483i −0.590426 0.297739i
\(598\) 3.26346 2.22499i 0.133453 0.0909867i
\(599\) 2.25996 0.340634i 0.0923394 0.0139179i −0.102710 0.994711i \(-0.532751\pi\)
0.195049 + 0.980793i \(0.437513\pi\)
\(600\) −1.97447 + 21.1546i −0.0806074 + 0.863633i
\(601\) −6.83095 + 1.02960i −0.278640 + 0.0419983i −0.286876 0.957968i \(-0.592617\pi\)
0.00823531 + 0.999966i \(0.497379\pi\)
\(602\) 0.126766 + 21.0481i 0.00516658 + 0.857855i
\(603\) 2.20138 8.24428i 0.0896471 0.335733i
\(604\) −11.9788 + 8.16703i −0.487412 + 0.332312i
\(605\) −4.51924 19.8001i −0.183733 0.804989i
\(606\) 1.30662 + 6.24868i 0.0530779 + 0.253835i
\(607\) −8.53274 −0.346333 −0.173167 0.984893i \(-0.555400\pi\)
−0.173167 + 0.984893i \(0.555400\pi\)
\(608\) −1.10023 + 1.02087i −0.0446204 + 0.0414016i
\(609\) 41.2599 + 16.7791i 1.67194 + 0.679924i
\(610\) 25.6574 + 23.8066i 1.03884 + 0.963900i
\(611\) 16.4228 + 15.2382i 0.664397 + 0.616471i
\(612\) −22.3519 + 6.00997i −0.903521 + 0.242939i
\(613\) 8.78809 + 1.32459i 0.354948 + 0.0534997i 0.324096 0.946024i \(-0.394940\pi\)
0.0308517 + 0.999524i \(0.490178\pi\)
\(614\) −25.4463 + 7.84916i −1.02693 + 0.316766i
\(615\) 36.9277 + 0.674590i 1.48907 + 0.0272021i
\(616\) 11.4831 + 9.04483i 0.462665 + 0.364426i
\(617\) −8.85235 + 8.21378i −0.356382 + 0.330674i −0.837963 0.545728i \(-0.816253\pi\)
0.481581 + 0.876402i \(0.340063\pi\)
\(618\) −5.30753 25.3823i −0.213500 1.02102i
\(619\) −6.47738 −0.260348 −0.130174 0.991491i \(-0.541554\pi\)
−0.130174 + 0.991491i \(0.541554\pi\)
\(620\) 24.8590 23.0657i 0.998360 0.926342i
\(621\) −1.58766 9.27113i −0.0637104 0.372038i
\(622\) −0.893918 + 1.12094i −0.0358428 + 0.0449455i
\(623\) 5.29552 + 33.7529i 0.212161 + 1.35228i
\(624\) 4.07867 + 0.691173i 0.163278 + 0.0276691i
\(625\) 5.87804 + 25.7534i 0.235122 + 1.03013i
\(626\) −17.9240 + 2.70161i −0.716388 + 0.107978i
\(627\) 0.901922 0.260263i 0.0360193 0.0103939i
\(628\) −6.25455 0.942722i −0.249584 0.0376187i
\(629\) −8.48358 + 4.08548i −0.338262 + 0.162899i
\(630\) −2.24451 18.7579i −0.0894234 0.747332i
\(631\) 11.0959 + 5.34350i 0.441720 + 0.212721i 0.641505 0.767118i \(-0.278310\pi\)
−0.199785 + 0.979840i \(0.564024\pi\)
\(632\) 14.7509 + 10.0570i 0.586759 + 0.400045i
\(633\) 31.9826 + 0.584252i 1.27119 + 0.0232219i
\(634\) 0.613742 8.18982i 0.0243748 0.325259i
\(635\) 15.1168 + 18.9558i 0.599891 + 0.752239i
\(636\) −5.56268 1.82778i −0.220575 0.0724761i
\(637\) 14.4851 13.7686i 0.573922 0.545532i
\(638\) 15.7206 0.622384
\(639\) 0.208068 + 5.43444i 0.00823105 + 0.214983i
\(640\) −24.6425 16.8010i −0.974081 0.664117i
\(641\) 2.91444 12.7690i 0.115113 0.504345i −0.884193 0.467121i \(-0.845291\pi\)
0.999307 0.0372242i \(-0.0118516\pi\)
\(642\) 14.2716 1.88520i 0.563256 0.0744029i
\(643\) 0.193775 + 2.58575i 0.00764175 + 0.101972i 0.999720 0.0236463i \(-0.00752756\pi\)
−0.992079 + 0.125618i \(0.959909\pi\)
\(644\) −6.29744 + 2.51544i −0.248154 + 0.0991221i
\(645\) −21.4649 + 51.8846i −0.845180 + 2.04295i
\(646\) −1.05460 0.158955i −0.0414926 0.00625400i
\(647\) 0.519768 + 6.93582i 0.0204342 + 0.272675i 0.998057 + 0.0623093i \(0.0198465\pi\)
−0.977623 + 0.210366i \(0.932534\pi\)
\(648\) −13.2020 + 19.4361i −0.518622 + 0.763524i
\(649\) −25.5999 7.89651i −1.00488 0.309965i
\(650\) 10.1379 1.52804i 0.397640 0.0599346i
\(651\) −20.2079 + 28.8736i −0.792009 + 1.13164i
\(652\) 0.0155939 + 0.00235041i 0.000610706 + 9.20492e-5i
\(653\) 15.5804 + 7.50315i 0.609710 + 0.293621i 0.713146 0.701015i \(-0.247270\pi\)
−0.103436 + 0.994636i \(0.532984\pi\)
\(654\) 15.3106 + 10.8535i 0.598693 + 0.424405i
\(655\) 31.9332 1.24774
\(656\) −2.86405 + 4.96069i −0.111823 + 0.193682i
\(657\) −10.7006 + 1.21508i −0.417470 + 0.0474047i
\(658\) 9.01718 + 13.0561i 0.351526 + 0.508981i
\(659\) 26.0403 + 24.1618i 1.01438 + 0.941211i 0.998278 0.0586588i \(-0.0186824\pi\)
0.0161067 + 0.999870i \(0.494873\pi\)
\(660\) 7.82452 + 14.1429i 0.304569 + 0.550511i
\(661\) 3.98485 + 10.1532i 0.154993 + 0.394915i 0.987187 0.159570i \(-0.0510107\pi\)
−0.832194 + 0.554484i \(0.812915\pi\)
\(662\) −6.40185 16.3116i −0.248815 0.633970i
\(663\) 13.0441 + 23.5774i 0.506592 + 0.915669i
\(664\) −13.5346 12.5583i −0.525243 0.487355i
\(665\) −0.609817 + 2.02009i −0.0236477 + 0.0783359i
\(666\) −1.58123 + 3.63281i −0.0612713 + 0.140769i
\(667\) −8.79730 + 15.2374i −0.340633 + 0.589993i
\(668\) 6.49649 0.251357
\(669\) 25.5485 + 18.1110i 0.987764 + 0.700211i
\(670\) 6.09955 + 2.93739i 0.235646 + 0.113481i
\(671\) 30.7732 + 4.63831i 1.18799 + 0.179060i
\(672\) 24.8784 + 10.1173i 0.959706 + 0.390283i
\(673\) −45.4504 + 6.85055i −1.75199 + 0.264069i −0.945134 0.326684i \(-0.894069\pi\)
−0.806852 + 0.590753i \(0.798831\pi\)
\(674\) 9.71294 + 2.99605i 0.374129 + 0.115403i
\(675\) 6.72844 23.4698i 0.258978 0.903353i
\(676\) 0.513086 + 6.84666i 0.0197341 + 0.263333i
\(677\) 13.1171 + 1.97708i 0.504130 + 0.0759853i 0.396183 0.918171i \(-0.370334\pi\)
0.107946 + 0.994157i \(0.465573\pi\)
\(678\) −1.12521 + 2.71984i −0.0432135 + 0.104455i
\(679\) 1.41424 1.54272i 0.0542735 0.0592040i
\(680\) −3.31069 44.1781i −0.126959 1.69415i
\(681\) −0.596409 + 0.0787822i −0.0228545 + 0.00301894i
\(682\) −2.76787 + 12.1268i −0.105987 + 0.464361i
\(683\) −23.4530 15.9900i −0.897403 0.611839i 0.0243129 0.999704i \(-0.492260\pi\)
−0.921716 + 0.387865i \(0.873213\pi\)
\(684\) 0.920581 0.579555i 0.0351993 0.0221598i
\(685\) −10.7553 −0.410938
\(686\) 12.1282 7.29750i 0.463056 0.278620i
\(687\) −4.51708 1.48421i −0.172337 0.0566263i
\(688\) −5.42951 6.80839i −0.206998 0.259567i
\(689\) −0.509391 + 6.79736i −0.0194063 + 0.258959i
\(690\) 7.46133 + 0.136302i 0.284048 + 0.00518894i
\(691\) −10.3875 7.08206i −0.395158 0.269414i 0.349397 0.936975i \(-0.386386\pi\)
−0.744556 + 0.667560i \(0.767339\pi\)
\(692\) 18.5128 + 8.91528i 0.703750 + 0.338908i
\(693\) −11.0442 12.6562i −0.419536 0.480769i
\(694\) 3.17985 1.53134i 0.120706 0.0581288i
\(695\) −16.8102 2.53373i −0.637646 0.0961097i
\(696\) 42.2273 12.1853i 1.60062 0.461884i
\(697\) −36.8933 + 5.56076i −1.39743 + 0.210629i
\(698\) −3.18700 13.9632i −0.120630 0.528514i
\(699\) 16.6069 + 2.81420i 0.628130 + 0.106443i
\(700\) −17.5603 1.20966i −0.663718 0.0457208i
\(701\) −18.1840 + 22.8020i −0.686800 + 0.861220i −0.995961 0.0897896i \(-0.971381\pi\)
0.309160 + 0.951010i \(0.399952\pi\)
\(702\) 10.6348 + 3.93023i 0.401384 + 0.148337i
\(703\) 0.324407 0.301005i 0.0122352 0.0113526i
\(704\) 5.93818 0.223804
\(705\) 8.66359 + 41.4320i 0.326290 + 1.56042i
\(706\) 15.8909 14.7446i 0.598062 0.554921i
\(707\) −12.4221 + 2.91407i −0.467179 + 0.109595i
\(708\) −31.0400 0.567033i −1.16655 0.0213104i
\(709\) −19.0092 + 5.86355i −0.713904 + 0.220210i −0.630370 0.776295i \(-0.717097\pi\)
−0.0835337 + 0.996505i \(0.526621\pi\)
\(710\) −4.26653 0.643076i −0.160120 0.0241342i
\(711\) −14.5193 14.4941i −0.544518 0.543573i
\(712\) 24.7130 + 22.9303i 0.926160 + 0.859351i
\(713\) −10.2052 9.46902i −0.382187 0.354618i
\(714\) 5.40144 + 18.3037i 0.202144 + 0.684999i
\(715\) 13.7933 12.7983i 0.515839 0.478629i
\(716\) −10.6551 −0.398199
\(717\) 2.08465 + 9.96947i 0.0778529 + 0.372317i
\(718\) −2.19331 9.60950i −0.0818534 0.358623i
\(719\) 18.8420 12.8463i 0.702690 0.479086i −0.158507 0.987358i \(-0.550668\pi\)
0.861196 + 0.508272i \(0.169716\pi\)
\(720\) 5.53151 + 5.52191i 0.206147 + 0.205790i
\(721\) 50.4586 11.8370i 1.87918 0.440833i
\(722\) −14.3093 + 2.15678i −0.532536 + 0.0802669i
\(723\) −3.94880 + 42.3077i −0.146857 + 1.57344i
\(724\) 15.6614 2.36058i 0.582053 0.0877303i
\(725\) −37.7343 + 25.7268i −1.40142 + 0.955470i
\(726\) 7.70800 + 3.88698i 0.286071 + 0.144259i
\(727\) 1.44103 19.2292i 0.0534449 0.713172i −0.904546 0.426375i \(-0.859790\pi\)
0.957991 0.286797i \(-0.0925906\pi\)
\(728\) 2.82158 19.5168i 0.104575 0.723340i
\(729\) 19.0421 19.1416i 0.705262 0.708946i
\(730\) 0.638505 8.52026i 0.0236321 0.315349i
\(731\) 12.6216 55.2990i 0.466828 2.04531i
\(732\) 35.7531 4.72278i 1.32147 0.174559i
\(733\) −15.5802 19.5370i −0.575469 0.721615i 0.405864 0.913934i \(-0.366971\pi\)
−0.981333 + 0.192319i \(0.938399\pi\)
\(734\) 2.20306 + 3.81581i 0.0813164 + 0.140844i
\(735\) 37.3711 5.39526i 1.37846 0.199007i
\(736\) −5.30450 + 9.18766i −0.195526 + 0.338662i
\(737\) 5.95227 0.897160i 0.219255 0.0330473i
\(738\) −10.2299 + 11.9083i −0.376569 + 0.438350i
\(739\) 14.4981 4.47206i 0.533320 0.164507i −0.0163859 0.999866i \(-0.505216\pi\)
0.549706 + 0.835358i \(0.314740\pi\)
\(740\) 6.29574 + 4.29236i 0.231436 + 0.157790i
\(741\) −0.912440 0.878174i −0.0335193 0.0322605i
\(742\) −1.39520 + 4.62177i −0.0512194 + 0.169670i
\(743\) −42.0960 28.7005i −1.54435 1.05292i −0.972597 0.232496i \(-0.925311\pi\)
−0.571754 0.820425i \(-0.693737\pi\)
\(744\) 1.96493 + 34.7195i 0.0720377 + 1.27288i
\(745\) 41.3154 + 19.8964i 1.51368 + 0.728949i
\(746\) −6.38555 + 16.2701i −0.233792 + 0.595691i
\(747\) 12.6139 + 17.0601i 0.461517 + 0.624198i
\(748\) −10.1801 12.7655i −0.372222 0.466752i
\(749\) 4.45956 + 28.4246i 0.162949 + 1.03861i
\(750\) −1.10903 0.559258i −0.0404959 0.0204212i
\(751\) −25.9384 12.4913i −0.946506 0.455813i −0.104046 0.994572i \(-0.533179\pi\)
−0.842460 + 0.538759i \(0.818893\pi\)
\(752\) −6.27305 1.93498i −0.228755 0.0705615i
\(753\) 18.0161 + 5.91971i 0.656544 + 0.215726i
\(754\) −10.6040 18.3666i −0.386174 0.668872i
\(755\) 7.09585 + 31.0889i 0.258244 + 1.13144i
\(756\) −16.3630 10.5430i −0.595115 0.383446i
\(757\) 0.729900 3.19790i 0.0265287 0.116230i −0.959930 0.280240i \(-0.909586\pi\)
0.986459 + 0.164010i \(0.0524431\pi\)
\(758\) −10.3842 + 3.20311i −0.377172 + 0.116342i
\(759\) 5.54971 3.63705i 0.201442 0.132016i
\(760\) 0.760690 + 1.93821i 0.0275931 + 0.0703061i
\(761\) 7.60523 33.3207i 0.275689 1.20787i −0.627495 0.778621i \(-0.715920\pi\)
0.903184 0.429253i \(-0.141223\pi\)
\(762\) −10.3040 0.188231i −0.373273 0.00681889i
\(763\) −20.9431 + 31.1190i −0.758192 + 1.12658i
\(764\) −1.93697 8.48643i −0.0700772 0.307028i
\(765\) −5.65609 + 50.5940i −0.204496 + 1.82923i
\(766\) −4.65501 8.06271i −0.168192 0.291317i
\(767\) 8.04218 + 35.2351i 0.290386 + 1.27227i
\(768\) 21.5193 6.20974i 0.776512 0.224075i
\(769\) 44.2631 + 6.67159i 1.59617 + 0.240584i 0.886081 0.463531i \(-0.153418\pi\)
0.710087 + 0.704114i \(0.248656\pi\)
\(770\) 11.5009 6.73274i 0.414465 0.242631i
\(771\) −7.90808 21.2846i −0.284803 0.766547i
\(772\) 27.7950 25.7900i 1.00036 0.928202i
\(773\) 14.4137 36.7255i 0.518425 1.32092i −0.396772 0.917917i \(-0.629870\pi\)
0.915197 0.403007i \(-0.132035\pi\)
\(774\) −11.1705 21.0912i −0.401514 0.758108i
\(775\) −13.2019 33.6378i −0.474226 1.20831i
\(776\) 0.154324 2.05932i 0.00553992 0.0739251i
\(777\) −7.33547 2.98311i −0.263158 0.107018i
\(778\) −0.410918 5.48331i −0.0147321 0.196586i
\(779\) 1.57987 0.760824i 0.0566046 0.0272594i
\(780\) 11.2455 18.6813i 0.402654 0.668896i
\(781\) −3.45649 + 1.66456i −0.123683 + 0.0595625i
\(782\) −7.45436 + 1.12356i −0.266567 + 0.0401786i
\(783\) −50.2782 + 4.78082i −1.79680 + 0.170852i
\(784\) −2.07363 + 5.47658i −0.0740581 + 0.195592i
\(785\) −6.95615 + 12.0484i −0.248275 + 0.430026i
\(786\) −8.65532 + 10.4558i −0.308725 + 0.372946i
\(787\) 1.25436 16.7383i 0.0447132 0.596656i −0.929177 0.369636i \(-0.879483\pi\)
0.973890 0.227020i \(-0.0728984\pi\)
\(788\) 11.4104 + 10.5873i 0.406479 + 0.377158i
\(789\) 32.1807 4.25088i 1.14566 0.151335i
\(790\) 13.4484 9.16895i 0.478472 0.326217i
\(791\) −5.48913 2.11626i −0.195171 0.0752457i
\(792\) −16.2883 3.06727i −0.578780 0.108991i
\(793\) −15.3383 39.0814i −0.544680 1.38782i
\(794\) 9.48632 + 4.56837i 0.336657 + 0.162125i
\(795\) −8.21229 + 9.92062i −0.291260 + 0.351848i
\(796\) −2.93897 12.8765i −0.104169 0.456395i
\(797\) 1.94594 4.95817i 0.0689287 0.175627i −0.892258 0.451526i \(-0.850880\pi\)
0.961187 + 0.275898i \(0.0889752\pi\)
\(798\) −0.496146 0.747205i −0.0175634 0.0264508i
\(799\) −15.6217 39.8033i −0.552655 1.40814i
\(800\) −22.7526 + 15.5125i −0.804426 + 0.548449i
\(801\) −23.0319 31.1504i −0.813791 1.10065i
\(802\) −3.87270 6.70771i −0.136750 0.236858i
\(803\) −3.79850 6.57919i −0.134046 0.232175i
\(804\) 6.33901 2.91130i 0.223560 0.102673i
\(805\) 0.0898286 + 14.9151i 0.00316604 + 0.525687i
\(806\) 16.0350 4.94614i 0.564808 0.174220i
\(807\) −35.9387 0.656522i −1.26510 0.0231107i
\(808\) −7.84974 + 9.84326i −0.276153 + 0.346285i
\(809\) −22.7980 3.43625i −0.801535 0.120812i −0.264515 0.964382i \(-0.585212\pi\)
−0.537020 + 0.843570i \(0.680450\pi\)
\(810\) 12.0977 + 17.6780i 0.425070 + 0.621142i
\(811\) −1.04991 + 4.59995i −0.0368673 + 0.161526i −0.990011 0.140993i \(-0.954970\pi\)
0.953143 + 0.302519i \(0.0978276\pi\)
\(812\) 10.9417 + 34.7282i 0.383979 + 1.21872i
\(813\) 14.0098 + 9.93134i 0.491345 + 0.348307i
\(814\) −2.79492 −0.0979617
\(815\) 0.0173432 0.0300393i 0.000607505 0.00105223i
\(816\) −6.44128 4.56613i −0.225490 0.159846i
\(817\) 0.199217 + 2.65837i 0.00696972 + 0.0930044i
\(818\) −14.8296 + 18.5957i −0.518505 + 0.650184i
\(819\) −7.33678 + 21.4401i −0.256368 + 0.749178i
\(820\) 18.8246 + 23.6053i 0.657385 + 0.824334i
\(821\) −15.2143 + 14.1168i −0.530981 + 0.492678i −0.899487 0.436947i \(-0.856060\pi\)
0.368506 + 0.929625i \(0.379869\pi\)
\(822\) 2.91515 3.52157i 0.101678 0.122829i
\(823\) 14.5774 9.93872i 0.508137 0.346442i −0.281958 0.959427i \(-0.590984\pi\)
0.790095 + 0.612985i \(0.210031\pi\)
\(824\) 31.8858 39.9835i 1.11079 1.39289i
\(825\) 17.0748 2.25549i 0.594470 0.0785260i
\(826\) 0.154161 + 25.5968i 0.00536395 + 0.890626i
\(827\) −6.00694 2.89279i −0.208882 0.100592i 0.326518 0.945191i \(-0.394125\pi\)
−0.535400 + 0.844599i \(0.679839\pi\)
\(828\) 5.01051 5.83255i 0.174127 0.202695i
\(829\) 12.7172 3.92275i 0.441688 0.136243i −0.0659315 0.997824i \(-0.521002\pi\)
0.507619 + 0.861582i \(0.330526\pi\)
\(830\) −15.1660 + 7.30357i −0.526420 + 0.253511i
\(831\) −6.55742 17.6493i −0.227474 0.612248i
\(832\) −4.00546 6.93766i −0.138864 0.240520i
\(833\) −36.3104 + 11.6811i −1.25808 + 0.404725i
\(834\) 5.38591 4.81735i 0.186499 0.166811i
\(835\) 5.22038 13.3013i 0.180659 0.460311i
\(836\) 0.634037 + 0.432279i 0.0219286 + 0.0149507i
\(837\) 5.16440 39.6263i 0.178508 1.36968i
\(838\) −1.46028 + 19.4861i −0.0504445 + 0.673135i
\(839\) 11.3972 7.77050i 0.393476 0.268267i −0.350379 0.936608i \(-0.613947\pi\)
0.743856 + 0.668340i \(0.232995\pi\)
\(840\) 25.6741 26.9995i 0.885841 0.931571i
\(841\) 54.0957 + 36.8818i 1.86537 + 1.27179i
\(842\) −0.940336 + 1.17914i −0.0324061 + 0.0406360i
\(843\) −12.3824 + 3.57313i −0.426472 + 0.123065i
\(844\) 16.3037 + 20.4442i 0.561198 + 0.703720i
\(845\) 14.4306 + 4.45124i 0.496426 + 0.153127i
\(846\) −15.9142 8.39322i −0.547141 0.288565i
\(847\) −7.39242 + 15.5900i −0.254007 + 0.535679i
\(848\) −0.729719 1.85929i −0.0250587 0.0638484i
\(849\) 2.04236 0.589353i 0.0700934 0.0202265i
\(850\) −18.6984 5.76768i −0.641349 0.197830i
\(851\) 1.56404 2.70900i 0.0536147 0.0928635i
\(852\) −3.31365 + 2.96385i −0.113524 + 0.101540i
\(853\) −4.70109 1.45009i −0.160962 0.0496503i 0.213227 0.977003i \(-0.431603\pi\)
−0.374189 + 0.927352i \(0.622079\pi\)
\(854\) −4.60879 29.3758i −0.157710 1.00522i
\(855\) −0.446865 2.35056i −0.0152825 0.0803876i
\(856\) 20.8118 + 19.3105i 0.711332 + 0.660019i
\(857\) −18.9488 + 23.7611i −0.647280 + 0.811664i −0.991892 0.127081i \(-0.959439\pi\)
0.344612 + 0.938745i \(0.388010\pi\)
\(858\) 0.451917 + 7.98520i 0.0154282 + 0.272610i
\(859\) −10.6307 + 46.5763i −0.362716 + 1.58916i 0.383554 + 0.923519i \(0.374700\pi\)
−0.746270 + 0.665644i \(0.768157\pi\)
\(860\) −43.8612 + 13.5294i −1.49566 + 0.461349i
\(861\) −24.2905 19.8624i −0.827818 0.676908i
\(862\) −10.8622 3.35053i −0.369967 0.114120i
\(863\) 18.1980 31.5198i 0.619466 1.07295i −0.370117 0.928985i \(-0.620682\pi\)
0.989583 0.143962i \(-0.0459843\pi\)
\(864\) −30.3162 + 2.88268i −1.03138 + 0.0980708i
\(865\) 33.1299 30.7401i 1.12645 1.04519i
\(866\) −1.78070 23.7617i −0.0605105 0.807457i
\(867\) −1.24211 21.9476i −0.0421842 0.745378i
\(868\) −28.7157 + 2.32594i −0.974676 + 0.0789476i
\(869\) 5.28732 13.4719i 0.179360 0.457002i
\(870\) 3.72371 39.8961i 0.126246 1.35260i
\(871\) −5.06313 6.34896i −0.171558 0.215126i
\(872\) 2.76594 + 36.9089i 0.0936666 + 1.24989i
\(873\) −0.612206 + 2.29275i −0.0207200 + 0.0775977i
\(874\) 0.319216 0.153726i 0.0107976 0.00519986i
\(875\) 1.06362 2.24309i 0.0359569 0.0758302i
\(876\) −6.34307 6.10486i −0.214312 0.206264i
\(877\) −47.6223 + 22.9337i −1.60809 + 0.774416i −0.999814 0.0193094i \(-0.993853\pi\)
−0.608277 + 0.793725i \(0.708139\pi\)
\(878\) 9.07300 + 8.41852i 0.306199 + 0.284111i
\(879\) 23.0775 + 30.0481i 0.778384 + 1.01350i
\(880\) −2.01434 + 5.13245i −0.0679034 + 0.173015i
\(881\) 20.2281 0.681500 0.340750 0.940154i \(-0.389319\pi\)
0.340750 + 0.940154i \(0.389319\pi\)
\(882\) −8.36268 + 13.6987i −0.281586 + 0.461258i
\(883\) −54.9751 −1.85006 −0.925029 0.379896i \(-0.875960\pi\)
−0.925029 + 0.379896i \(0.875960\pi\)
\(884\) −8.04732 + 20.5042i −0.270661 + 0.689632i
\(885\) −26.1037 + 63.0974i −0.877467 + 2.12100i
\(886\) 13.5168 + 12.5418i 0.454106 + 0.421349i
\(887\) 26.6324 12.8255i 0.894227 0.430637i 0.0704265 0.997517i \(-0.477564\pi\)
0.823800 + 0.566880i \(0.191850\pi\)
\(888\) −7.50746 + 2.16639i −0.251934 + 0.0726993i
\(889\) −0.124052 20.5975i −0.00416056 0.690817i
\(890\) 27.6919 13.3357i 0.928235 0.447015i
\(891\) 17.7420 + 6.92768i 0.594378 + 0.232086i
\(892\) 1.91313 + 25.5289i 0.0640562 + 0.854770i
\(893\) 1.25298 + 1.57119i 0.0419294 + 0.0525778i
\(894\) −17.7129 + 8.13496i −0.592409 + 0.272074i
\(895\) −8.56209 + 21.8158i −0.286199 + 0.729223i
\(896\) 7.61417 + 24.1668i 0.254372 + 0.807357i
\(897\) −7.99264 4.03052i −0.266866 0.134575i
\(898\) 0.193091 + 2.57662i 0.00644354 + 0.0859830i
\(899\) −54.7956 + 50.8428i −1.82753 + 1.69570i
\(900\) 18.2865 7.99722i 0.609549 0.266574i
\(901\) 6.50491 11.2668i 0.216710 0.375353i
\(902\) −10.5825 3.26427i −0.352359 0.108688i
\(903\) 41.6001 23.3435i 1.38436 0.776822i
\(904\) −5.54701 + 1.71103i −0.184491 + 0.0569078i
\(905\) 7.75184 33.9630i 0.257680 1.12897i
\(906\) −12.1026 6.10311i −0.402084 0.202762i
\(907\) 17.9507 22.5095i 0.596044 0.747416i −0.388712 0.921359i \(-0.627080\pi\)
0.984756 + 0.173944i \(0.0556512\pi\)
\(908\) −0.360502 0.334497i −0.0119637 0.0111007i
\(909\) 10.9579 9.44659i 0.363450 0.313324i
\(910\) −15.6236 8.89529i −0.517919 0.294876i
\(911\) −40.8987 12.6156i −1.35504 0.417973i −0.469659 0.882848i \(-0.655623\pi\)
−0.885376 + 0.464875i \(0.846099\pi\)
\(912\) 0.352537 + 0.115836i 0.0116737 + 0.00383572i
\(913\) −7.48350 + 12.9618i −0.247668 + 0.428973i
\(914\) −5.62646 1.73553i −0.186107 0.0574063i
\(915\) 19.0604 76.9982i 0.630117 2.54548i
\(916\) −1.42001 3.61812i −0.0469184 0.119546i
\(917\) −21.3119 16.7867i −0.703779 0.554344i
\(918\) −15.0328 15.5652i −0.496156 0.513727i
\(919\) −48.9883 15.1109i −1.61598 0.498462i −0.650620 0.759403i \(-0.725491\pi\)
−0.965355 + 0.260941i \(0.915967\pi\)
\(920\) 9.17619 + 11.5066i 0.302530 + 0.379361i
\(921\) 43.4827 + 41.8497i 1.43280 + 1.37900i
\(922\) −10.7213 + 13.4441i −0.353087 + 0.442758i
\(923\) 4.27622 + 2.91548i 0.140753 + 0.0959641i
\(924\) 2.21264 13.5520i 0.0727906 0.445827i
\(925\) 6.70867 4.57389i 0.220580 0.150389i
\(926\) −0.0876749 + 1.16994i −0.00288118 + 0.0384466i
\(927\) −44.5111 + 38.3722i −1.46194 + 1.26031i
\(928\) 47.0657 + 32.0889i 1.54501 + 1.05337i
\(929\) 0.556216 1.41722i 0.0182489 0.0464973i −0.921459 0.388476i \(-0.873002\pi\)
0.939708 + 0.341978i \(0.111097\pi\)
\(930\) 30.1201 + 9.89683i 0.987678 + 0.324530i
\(931\) 1.46891 1.02762i 0.0481415 0.0336788i
\(932\) 6.88458 + 11.9245i 0.225512 + 0.390598i
\(933\) 3.20359 + 0.542882i 0.104881 + 0.0177731i
\(934\) −4.45673 + 2.14625i −0.145829 + 0.0702274i
\(935\) −34.3172 + 10.5855i −1.12229 + 0.346181i
\(936\) 7.40337 + 21.0988i 0.241987 + 0.689637i
\(937\) −53.4893 25.7591i −1.74742 0.841513i −0.979630 0.200811i \(-0.935642\pi\)
−0.767790 0.640702i \(-0.778644\pi\)
\(938\) −2.52664 5.16678i −0.0824976 0.168701i
\(939\) 25.0221 + 32.5801i 0.816564 + 1.06321i
\(940\) −21.5740 + 27.0529i −0.703666 + 0.882369i
\(941\) −14.8849 + 10.1483i −0.485233 + 0.330827i −0.781103 0.624402i \(-0.785343\pi\)
0.295870 + 0.955228i \(0.404390\pi\)
\(942\) −2.05955 5.54328i −0.0671037 0.180610i
\(943\) 9.08593 8.43051i 0.295879 0.274535i
\(944\) −6.60288 8.27975i −0.214906 0.269483i
\(945\) −34.7352 + 25.0305i −1.12994 + 0.814241i
\(946\) 10.4972 13.1631i 0.341294 0.427969i
\(947\) −3.65547 48.7789i −0.118787 1.58510i −0.664603 0.747196i \(-0.731399\pi\)
0.545816 0.837905i \(-0.316220\pi\)
\(948\) 1.55854 16.6983i 0.0506192 0.542337i
\(949\) −5.12437 + 8.87568i −0.166344 + 0.288117i
\(950\) 0.919657 0.0298376
\(951\) −16.9141 + 7.76808i −0.548477 + 0.251897i
\(952\) −21.0140 + 31.2243i −0.681068 + 1.01199i
\(953\) 4.20320 18.4154i 0.136155 0.596533i −0.860104 0.510118i \(-0.829602\pi\)
0.996259 0.0864153i \(-0.0275412\pi\)
\(954\) −1.02238 5.37785i −0.0331008 0.174114i
\(955\) −18.9321 2.85356i −0.612629 0.0923389i
\(956\) −5.19118 + 6.50954i −0.167895 + 0.210534i
\(957\) −17.2473 31.1746i −0.557525 1.00773i
\(958\) −15.9361 + 4.91564i −0.514872 + 0.158817i
\(959\) 7.17793 + 5.65383i 0.231788 + 0.182572i
\(960\) 1.40657 15.0700i 0.0453967 0.486383i
\(961\) −14.0724 24.3742i −0.453949 0.786263i
\(962\) 1.88525 + 3.26534i 0.0607827 + 0.105279i
\(963\) −19.3960 26.2330i −0.625028 0.845345i
\(964\) −28.6999 + 19.5673i −0.924361 + 0.630219i
\(965\) −30.4688 77.6331i −0.980824 2.49910i
\(966\) −4.90795 4.01323i −0.157911 0.129124i
\(967\) 3.31473 8.44578i 0.106594 0.271598i −0.867618 0.497232i \(-0.834350\pi\)
0.974212 + 0.225633i \(0.0724452\pi\)
\(968\) 3.78841 + 16.5981i 0.121764 + 0.533484i
\(969\) 0.841797 + 2.26570i 0.0270424 + 0.0727848i
\(970\) −1.69629 0.816891i −0.0544647 0.0262288i
\(971\) 11.5093 + 29.3252i 0.369351 + 0.941091i 0.987865 + 0.155317i \(0.0496399\pi\)
−0.618514 + 0.785774i \(0.712265\pi\)
\(972\) 21.9797 + 2.01298i 0.705000 + 0.0645665i
\(973\) 9.88698 + 10.5277i 0.316962 + 0.337504i
\(974\) 15.5407 10.5955i 0.497956 0.339501i
\(975\) −14.1526 18.4274i −0.453244 0.590149i
\(976\) 9.01811 + 8.36759i 0.288663 + 0.267840i
\(977\) 1.24461 16.6082i 0.0398186 0.531343i −0.941254 0.337701i \(-0.890351\pi\)
0.981072 0.193642i \(-0.0620301\pi\)
\(978\) 0.00513490 + 0.0138206i 0.000164196 + 0.000441934i
\(979\) 13.6643 23.6672i 0.436711 0.756406i
\(980\) 22.8780 + 20.7205i 0.730811 + 0.661892i
\(981\) 4.72542 42.2691i 0.150871 1.34955i
\(982\) 21.6098 3.25716i 0.689598 0.103940i
\(983\) 53.6391 25.8312i 1.71082 0.823888i 0.719187 0.694817i \(-0.244515\pi\)
0.991635 0.129071i \(-0.0411996\pi\)
\(984\) −30.9560 0.565498i −0.986840 0.0180274i
\(985\) 30.8462 14.8547i 0.982841 0.473311i
\(986\) 3.02488 + 40.3643i 0.0963320 + 1.28546i
\(987\) 15.9980 32.2055i 0.509222 1.02511i
\(988\) 0.0773631 1.03234i 0.00246125 0.0328431i
\(989\) 6.88419 + 17.5406i 0.218905 + 0.557760i
\(990\) −8.02846 + 12.8019i −0.255161 + 0.406871i
\(991\) 21.5592 54.9319i 0.684850 1.74497i 0.0179323 0.999839i \(-0.494292\pi\)
0.666918 0.745131i \(-0.267613\pi\)
\(992\) −33.0400 + 30.6566i −1.04902 + 0.973349i
\(993\) −25.3231 + 30.5908i −0.803605 + 0.970771i
\(994\) 2.50938 + 2.67201i 0.0795926 + 0.0847509i
\(995\) −28.7257 4.32971i −0.910667 0.137261i
\(996\) −4.16765 + 16.8360i −0.132057 + 0.533470i
\(997\) −3.54794 15.5446i −0.112364 0.492301i −0.999524 0.0308388i \(-0.990182\pi\)
0.887160 0.461462i \(-0.152675\pi\)
\(998\) −2.49967 4.32956i −0.0791258 0.137050i
\(999\) 8.93880 0.849966i 0.282811 0.0268917i
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 441.2.z.a.142.22 yes 648
9.4 even 3 441.2.y.a.436.22 yes 648
49.39 even 21 441.2.y.a.88.22 648
441.382 even 21 inner 441.2.z.a.382.22 yes 648
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
441.2.y.a.88.22 648 49.39 even 21
441.2.y.a.436.22 yes 648 9.4 even 3
441.2.z.a.142.22 yes 648 1.1 even 1 trivial
441.2.z.a.382.22 yes 648 441.382 even 21 inner