Properties

Label 441.2.bn.a.101.36
Level $441$
Weight $2$
Character 441.101
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(5,441)]
 
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([35, 29]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("441.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.bn (of order \(42\), 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 \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 101.36
Character \(\chi\) \(=\) 441.101
Dual form 441.2.bn.a.131.36

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.787086 - 0.627680i) q^{2} +(-1.00454 - 1.41099i) q^{3} +(-0.219520 + 0.961780i) q^{4} +(-0.00591098 + 0.0788765i) q^{5} +(-1.67631 - 0.480041i) q^{6} +(2.62017 + 0.367026i) q^{7} +(1.30451 + 2.70884i) q^{8} +(-0.981794 + 2.83480i) q^{9} +O(q^{10})\) \(q+(0.787086 - 0.627680i) q^{2} +(-1.00454 - 1.41099i) q^{3} +(-0.219520 + 0.961780i) q^{4} +(-0.00591098 + 0.0788765i) q^{5} +(-1.67631 - 0.480041i) q^{6} +(2.62017 + 0.367026i) q^{7} +(1.30451 + 2.70884i) q^{8} +(-0.981794 + 2.83480i) q^{9} +(0.0448568 + 0.0657928i) q^{10} +(4.74222 + 1.86119i) q^{11} +(1.57758 - 0.656406i) q^{12} +(0.190281 + 0.0746796i) q^{13} +(2.29267 - 1.35575i) q^{14} +(0.117232 - 0.0708944i) q^{15} +(0.949409 + 0.457211i) q^{16} +(-6.52461 - 2.01258i) q^{17} +(1.00659 + 2.84748i) q^{18} +(1.26613 - 0.731003i) q^{19} +(-0.0745643 - 0.0230000i) q^{20} +(-2.11420 - 4.06573i) q^{21} +(4.90077 - 1.51169i) q^{22} +(5.65774 - 6.09759i) q^{23} +(2.51172 - 4.56179i) q^{24} +(4.93797 + 0.744279i) q^{25} +(0.196642 - 0.0606560i) q^{26} +(4.98613 - 1.46237i) q^{27} +(-0.928178 + 2.43946i) q^{28} +(1.19240 - 3.86567i) q^{29} +(0.0477726 - 0.129384i) q^{30} +7.08331i q^{31} +(-4.82816 + 1.10200i) q^{32} +(-2.13764 - 8.56087i) q^{33} +(-6.39868 + 2.51130i) q^{34} +(-0.0444375 + 0.204500i) q^{35} +(-2.51093 - 1.56656i) q^{36} +(-1.30025 + 1.20646i) q^{37} +(0.537720 - 1.37009i) q^{38} +(-0.0857724 - 0.343503i) q^{39} +(-0.221375 + 0.0868832i) q^{40} +(1.88999 + 1.28857i) q^{41} +(-4.21603 - 1.87304i) q^{42} +(-7.26953 + 4.95628i) q^{43} +(-2.83106 + 4.15241i) q^{44} +(-0.217796 - 0.0941969i) q^{45} +(0.625789 - 8.35058i) q^{46} +(-1.21875 - 1.52826i) q^{47} +(-0.308599 - 1.79890i) q^{48} +(6.73058 + 1.92334i) q^{49} +(4.35377 - 2.51365i) q^{50} +(3.71451 + 11.2279i) q^{51} +(-0.113596 + 0.166614i) q^{52} +(-2.35934 + 2.54276i) q^{53} +(3.00661 - 4.28070i) q^{54} +(-0.174835 + 0.363049i) q^{55} +(2.42382 + 7.57641i) q^{56} +(-2.30332 - 1.05218i) q^{57} +(-1.48788 - 3.79106i) q^{58} +(-9.77304 - 4.70645i) q^{59} +(0.0424500 + 0.128314i) q^{60} +(13.9930 - 3.19381i) q^{61} +(4.44605 + 5.57517i) q^{62} +(-3.61291 + 7.06731i) q^{63} +(-4.42250 + 5.54564i) q^{64} +(-0.00701521 + 0.0145672i) q^{65} +(-7.05600 - 5.39639i) q^{66} -10.2944 q^{67} +(3.36794 - 5.83344i) q^{68} +(-14.2871 - 1.85774i) q^{69} +(0.0933847 + 0.188852i) q^{70} +(0.0500651 + 0.0114270i) q^{71} +(-8.95977 + 1.03850i) q^{72} +(-7.84241 + 3.07792i) q^{73} +(-0.266141 + 1.76573i) q^{74} +(-3.91022 - 7.71509i) q^{75} +(0.425122 + 1.37821i) q^{76} +(11.7423 + 6.61714i) q^{77} +(-0.283120 - 0.216529i) q^{78} -1.86861 q^{79} +(-0.0416752 + 0.0721835i) q^{80} +(-7.07216 - 5.56637i) q^{81} +(2.29640 - 0.172091i) q^{82} +(-3.83636 - 9.77489i) q^{83} +(4.37445 - 1.14088i) q^{84} +(0.197312 - 0.502742i) q^{85} +(-2.61078 + 8.46396i) q^{86} +(-6.65225 + 2.20076i) q^{87} +(1.14462 + 15.2739i) q^{88} +(10.9069 + 1.64395i) q^{89} +(-0.230549 + 0.0625649i) q^{90} +(0.471158 + 0.265511i) q^{91} +(4.62255 + 6.78004i) q^{92} +(9.99449 - 7.11548i) q^{93} +(-1.91852 - 0.437890i) q^{94} +(0.0501749 + 0.104189i) q^{95} +(6.40499 + 5.70549i) q^{96} +(1.21678 + 0.702508i) q^{97} +(6.50479 - 2.71082i) q^{98} +(-9.93197 + 11.6159i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 21 q^{2} - 11 q^{3} + 99 q^{4} - 18 q^{5} - 34 q^{6} - 5 q^{7} - 23 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 21 q^{2} - 11 q^{3} + 99 q^{4} - 18 q^{5} - 34 q^{6} - 5 q^{7} - 23 q^{9} - 22 q^{10} - 18 q^{11} - 72 q^{12} - 4 q^{13} + 66 q^{14} - 10 q^{15} - 105 q^{16} - 9 q^{17} - 27 q^{18} - 36 q^{19} - 27 q^{20} - 11 q^{21} - 9 q^{22} - 27 q^{23} - 8 q^{24} + 38 q^{25} + 6 q^{26} - 29 q^{27} - 26 q^{28} + 3 q^{29} - 16 q^{30} - 21 q^{32} - 11 q^{33} - 13 q^{34} + 28 q^{36} - 13 q^{37} - 90 q^{38} - 15 q^{39} - 31 q^{40} - 27 q^{41} - 4 q^{42} - 9 q^{43} + 51 q^{44} - 11 q^{45} - 108 q^{46} + 75 q^{47} - 15 q^{48} - 13 q^{49} - 45 q^{50} - 38 q^{51} + 64 q^{52} - 12 q^{53} - 41 q^{54} + 14 q^{55} + 3 q^{56} - 7 q^{57} - 90 q^{58} + 15 q^{59} - 69 q^{60} - 56 q^{61} + 66 q^{62} + 13 q^{63} + 64 q^{64} - 21 q^{65} - 204 q^{66} - 26 q^{67} + 3 q^{68} + 58 q^{69} - 22 q^{70} - 63 q^{71} - 18 q^{72} - 22 q^{73} - 12 q^{74} + 118 q^{75} - 63 q^{76} - 69 q^{77} - 147 q^{78} - 2 q^{79} - 45 q^{80} + 29 q^{81} - 28 q^{82} - 51 q^{83} - 31 q^{84} - 10 q^{85} - 72 q^{86} - 67 q^{87} + 4 q^{88} + 132 q^{89} + 58 q^{90} - 13 q^{91} - 15 q^{92} + 217 q^{93} - 7 q^{94} - 21 q^{95} - 44 q^{96} + 3 q^{97} + 21 q^{98} - 148 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{1}{42}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.787086 0.627680i 0.556554 0.443837i −0.304382 0.952550i \(-0.598450\pi\)
0.860936 + 0.508713i \(0.169879\pi\)
\(3\) −1.00454 1.41099i −0.579972 0.814636i
\(4\) −0.219520 + 0.961780i −0.109760 + 0.480890i
\(5\) −0.00591098 + 0.0788765i −0.00264347 + 0.0352747i −0.998370 0.0570811i \(-0.981821\pi\)
0.995726 + 0.0923557i \(0.0294397\pi\)
\(6\) −1.67631 0.480041i −0.684351 0.195976i
\(7\) 2.62017 + 0.367026i 0.990331 + 0.138723i
\(8\) 1.30451 + 2.70884i 0.461213 + 0.957719i
\(9\) −0.981794 + 2.83480i −0.327265 + 0.944933i
\(10\) 0.0448568 + 0.0657928i 0.0141850 + 0.0208055i
\(11\) 4.74222 + 1.86119i 1.42983 + 0.561168i 0.948897 0.315587i \(-0.102201\pi\)
0.480937 + 0.876755i \(0.340296\pi\)
\(12\) 1.57758 0.656406i 0.455408 0.189488i
\(13\) 0.190281 + 0.0746796i 0.0527743 + 0.0207124i 0.391581 0.920143i \(-0.371928\pi\)
−0.338807 + 0.940856i \(0.610023\pi\)
\(14\) 2.29267 1.35575i 0.612743 0.362339i
\(15\) 0.117232 0.0708944i 0.0302692 0.0183049i
\(16\) 0.949409 + 0.457211i 0.237352 + 0.114303i
\(17\) −6.52461 2.01258i −1.58245 0.488121i −0.625953 0.779861i \(-0.715290\pi\)
−0.956498 + 0.291740i \(0.905766\pi\)
\(18\) 1.00659 + 2.84748i 0.237256 + 0.671158i
\(19\) 1.26613 0.731003i 0.290471 0.167704i −0.347683 0.937612i \(-0.613032\pi\)
0.638154 + 0.769909i \(0.279698\pi\)
\(20\) −0.0745643 0.0230000i −0.0166731 0.00514296i
\(21\) −2.11420 4.06573i −0.461356 0.887215i
\(22\) 4.90077 1.51169i 1.04485 0.322293i
\(23\) 5.65774 6.09759i 1.17972 1.27144i 0.224856 0.974392i \(-0.427809\pi\)
0.954864 0.297044i \(-0.0960007\pi\)
\(24\) 2.51172 4.56179i 0.512702 0.931172i
\(25\) 4.93797 + 0.744279i 0.987594 + 0.148856i
\(26\) 0.196642 0.0606560i 0.0385647 0.0118956i
\(27\) 4.98613 1.46237i 0.959581 0.281433i
\(28\) −0.928178 + 2.43946i −0.175409 + 0.461014i
\(29\) 1.19240 3.86567i 0.221423 0.717837i −0.774894 0.632092i \(-0.782197\pi\)
0.996317 0.0857456i \(-0.0273272\pi\)
\(30\) 0.0477726 0.129384i 0.00872204 0.0236222i
\(31\) 7.08331i 1.27220i 0.771607 + 0.636100i \(0.219453\pi\)
−0.771607 + 0.636100i \(0.780547\pi\)
\(32\) −4.82816 + 1.10200i −0.853506 + 0.194807i
\(33\) −2.13764 8.56087i −0.372116 1.49026i
\(34\) −6.39868 + 2.51130i −1.09737 + 0.430684i
\(35\) −0.0444375 + 0.204500i −0.00751131 + 0.0345669i
\(36\) −2.51093 1.56656i −0.418488 0.261094i
\(37\) −1.30025 + 1.20646i −0.213760 + 0.198341i −0.779784 0.626048i \(-0.784671\pi\)
0.566024 + 0.824389i \(0.308481\pi\)
\(38\) 0.537720 1.37009i 0.0872298 0.222258i
\(39\) −0.0857724 0.343503i −0.0137346 0.0550045i
\(40\) −0.221375 + 0.0868832i −0.0350024 + 0.0137374i
\(41\) 1.88999 + 1.28857i 0.295167 + 0.201241i 0.701844 0.712331i \(-0.252360\pi\)
−0.406677 + 0.913572i \(0.633313\pi\)
\(42\) −4.21603 1.87304i −0.650548 0.289016i
\(43\) −7.26953 + 4.95628i −1.10859 + 0.755826i −0.972042 0.234807i \(-0.924554\pi\)
−0.136551 + 0.990633i \(0.543602\pi\)
\(44\) −2.83106 + 4.15241i −0.426799 + 0.625999i
\(45\) −0.217796 0.0941969i −0.0324671 0.0140420i
\(46\) 0.625789 8.35058i 0.0922676 1.23123i
\(47\) −1.21875 1.52826i −0.177773 0.222920i 0.684959 0.728581i \(-0.259820\pi\)
−0.862732 + 0.505661i \(0.831249\pi\)
\(48\) −0.308599 1.79890i −0.0445425 0.259648i
\(49\) 6.73058 + 1.92334i 0.961512 + 0.274763i
\(50\) 4.35377 2.51365i 0.615717 0.355484i
\(51\) 3.71451 + 11.2279i 0.520136 + 1.57222i
\(52\) −0.113596 + 0.166614i −0.0157529 + 0.0231052i
\(53\) −2.35934 + 2.54276i −0.324080 + 0.349275i −0.873986 0.485952i \(-0.838473\pi\)
0.549906 + 0.835227i \(0.314664\pi\)
\(54\) 3.00661 4.28070i 0.409148 0.582530i
\(55\) −0.174835 + 0.363049i −0.0235747 + 0.0489535i
\(56\) 2.42382 + 7.57641i 0.323896 + 1.01244i
\(57\) −2.30332 1.05218i −0.305083 0.139365i
\(58\) −1.48788 3.79106i −0.195369 0.497791i
\(59\) −9.77304 4.70645i −1.27234 0.612727i −0.328930 0.944354i \(-0.606688\pi\)
−0.943411 + 0.331627i \(0.892402\pi\)
\(60\) 0.0424500 + 0.128314i 0.00548027 + 0.0165653i
\(61\) 13.9930 3.19381i 1.79162 0.408926i 0.808000 0.589182i \(-0.200550\pi\)
0.983620 + 0.180256i \(0.0576928\pi\)
\(62\) 4.44605 + 5.57517i 0.564649 + 0.708048i
\(63\) −3.61291 + 7.06731i −0.455184 + 0.890397i
\(64\) −4.42250 + 5.54564i −0.552812 + 0.693205i
\(65\) −0.00701521 + 0.0145672i −0.000870130 + 0.00180684i
\(66\) −7.05600 5.39639i −0.868533 0.664249i
\(67\) −10.2944 −1.25766 −0.628828 0.777545i \(-0.716465\pi\)
−0.628828 + 0.777545i \(0.716465\pi\)
\(68\) 3.36794 5.83344i 0.408422 0.707408i
\(69\) −14.2871 1.85774i −1.71996 0.223645i
\(70\) 0.0933847 + 0.188852i 0.0111616 + 0.0225721i
\(71\) 0.0500651 + 0.0114270i 0.00594163 + 0.00135614i 0.225491 0.974245i \(-0.427601\pi\)
−0.219549 + 0.975601i \(0.570459\pi\)
\(72\) −8.95977 + 1.03850i −1.05592 + 0.122388i
\(73\) −7.84241 + 3.07792i −0.917885 + 0.360243i −0.776795 0.629754i \(-0.783156\pi\)
−0.141090 + 0.989997i \(0.545061\pi\)
\(74\) −0.266141 + 1.76573i −0.0309383 + 0.205262i
\(75\) −3.91022 7.71509i −0.451513 0.890862i
\(76\) 0.425122 + 1.37821i 0.0487648 + 0.158092i
\(77\) 11.7423 + 6.61714i 1.33816 + 0.754093i
\(78\) −0.283120 0.216529i −0.0320570 0.0245171i
\(79\) −1.86861 −0.210235 −0.105118 0.994460i \(-0.533522\pi\)
−0.105118 + 0.994460i \(0.533522\pi\)
\(80\) −0.0416752 + 0.0721835i −0.00465942 + 0.00807036i
\(81\) −7.07216 5.56637i −0.785796 0.618486i
\(82\) 2.29640 0.172091i 0.253595 0.0190043i
\(83\) −3.83636 9.77489i −0.421095 1.07293i −0.971290 0.237897i \(-0.923542\pi\)
0.550195 0.835036i \(-0.314553\pi\)
\(84\) 4.37445 1.14088i 0.477291 0.124481i
\(85\) 0.197312 0.502742i 0.0214015 0.0545301i
\(86\) −2.61078 + 8.46396i −0.281528 + 0.912692i
\(87\) −6.65225 + 2.20076i −0.713196 + 0.235946i
\(88\) 1.14462 + 15.2739i 0.122017 + 1.62820i
\(89\) 10.9069 + 1.64395i 1.15613 + 0.174259i 0.698987 0.715135i \(-0.253635\pi\)
0.457143 + 0.889393i \(0.348873\pi\)
\(90\) −0.230549 + 0.0625649i −0.0243020 + 0.00659492i
\(91\) 0.471158 + 0.265511i 0.0493908 + 0.0278331i
\(92\) 4.62255 + 6.78004i 0.481934 + 0.706868i
\(93\) 9.99449 7.11548i 1.03638 0.737841i
\(94\) −1.91852 0.437890i −0.197880 0.0451649i
\(95\) 0.0501749 + 0.104189i 0.00514783 + 0.0106896i
\(96\) 6.40499 + 5.70549i 0.653707 + 0.582314i
\(97\) 1.21678 + 0.702508i 0.123545 + 0.0713289i 0.560499 0.828155i \(-0.310609\pi\)
−0.436954 + 0.899484i \(0.643943\pi\)
\(98\) 6.50479 2.71082i 0.657083 0.273834i
\(99\) −9.93197 + 11.6159i −0.998201 + 1.16745i
\(100\) −1.79981 + 4.58585i −0.179981 + 0.458585i
\(101\) 1.08376 + 0.738898i 0.107839 + 0.0735231i 0.616039 0.787716i \(-0.288737\pi\)
−0.508200 + 0.861239i \(0.669689\pi\)
\(102\) 9.97116 + 6.50578i 0.987292 + 0.644169i
\(103\) −10.5323 0.789289i −1.03778 0.0777709i −0.455074 0.890454i \(-0.650387\pi\)
−0.582707 + 0.812683i \(0.698006\pi\)
\(104\) 0.0459275 + 0.612860i 0.00450356 + 0.0600958i
\(105\) 0.333188 0.142728i 0.0325158 0.0139288i
\(106\) −0.260961 + 3.48228i −0.0253468 + 0.338229i
\(107\) 1.14177 7.57516i 0.110379 0.732318i −0.863349 0.504607i \(-0.831638\pi\)
0.973729 0.227712i \(-0.0731243\pi\)
\(108\) 0.311922 + 5.11658i 0.0300147 + 0.492343i
\(109\) −8.91551 + 1.34380i −0.853951 + 0.128712i −0.561407 0.827540i \(-0.689740\pi\)
−0.292544 + 0.956252i \(0.594502\pi\)
\(110\) 0.0902682 + 0.395491i 0.00860674 + 0.0377086i
\(111\) 3.00846 + 0.622709i 0.285551 + 0.0591049i
\(112\) 2.31980 + 1.54643i 0.219201 + 0.146124i
\(113\) 2.26464 15.0249i 0.213039 1.41342i −0.585106 0.810957i \(-0.698947\pi\)
0.798145 0.602465i \(-0.205815\pi\)
\(114\) −2.47335 + 0.617592i −0.231650 + 0.0578428i
\(115\) 0.447514 + 0.482305i 0.0417309 + 0.0449752i
\(116\) 3.45617 + 1.99542i 0.320897 + 0.185270i
\(117\) −0.398518 + 0.466087i −0.0368430 + 0.0430898i
\(118\) −10.6464 + 2.42996i −0.980077 + 0.223696i
\(119\) −16.3569 7.66800i −1.49944 0.702924i
\(120\) 0.344972 + 0.225080i 0.0314914 + 0.0205469i
\(121\) 10.9611 + 10.1704i 0.996463 + 0.924583i
\(122\) 9.00900 11.2969i 0.815637 1.02278i
\(123\) −0.0804069 3.96118i −0.00725004 0.357168i
\(124\) −6.81258 1.55493i −0.611788 0.139637i
\(125\) −0.175899 + 0.770663i −0.0157329 + 0.0689302i
\(126\) 1.59234 + 7.83033i 0.141857 + 0.697582i
\(127\) −0.799853 3.50438i −0.0709755 0.310964i 0.926962 0.375155i \(-0.122410\pi\)
−0.997938 + 0.0641910i \(0.979553\pi\)
\(128\) 2.76384i 0.244291i
\(129\) 14.2958 + 5.27845i 1.25868 + 0.464742i
\(130\) 0.00362199 + 0.0158690i 0.000317670 + 0.00139180i
\(131\) 5.58940 3.81079i 0.488348 0.332950i −0.293985 0.955810i \(-0.594982\pi\)
0.782334 + 0.622860i \(0.214029\pi\)
\(132\) 8.70293 0.176658i 0.757493 0.0153761i
\(133\) 3.58578 1.45065i 0.310927 0.125787i
\(134\) −8.10254 + 6.46156i −0.699953 + 0.558194i
\(135\) 0.0858737 + 0.401933i 0.00739083 + 0.0345928i
\(136\) −3.05966 20.2995i −0.262364 1.74067i
\(137\) −18.6316 + 1.39625i −1.59181 + 0.119290i −0.840928 0.541148i \(-0.817990\pi\)
−0.750881 + 0.660437i \(0.770371\pi\)
\(138\) −12.4112 + 7.50552i −1.05651 + 0.638912i
\(139\) −9.47810 + 13.9018i −0.803922 + 1.17914i 0.176900 + 0.984229i \(0.443393\pi\)
−0.980822 + 0.194908i \(0.937559\pi\)
\(140\) −0.186929 0.0876310i −0.0157984 0.00740617i
\(141\) −0.932082 + 3.25485i −0.0784955 + 0.274108i
\(142\) 0.0465780 0.0224308i 0.00390874 0.00188235i
\(143\) 0.763360 + 0.708295i 0.0638354 + 0.0592306i
\(144\) −2.22823 + 2.24250i −0.185685 + 0.186875i
\(145\) 0.297863 + 0.116902i 0.0247361 + 0.00970822i
\(146\) −4.24070 + 7.34511i −0.350963 + 0.607886i
\(147\) −4.04733 11.4289i −0.333818 0.942638i
\(148\) −0.874916 1.51540i −0.0719176 0.124565i
\(149\) −1.40090 9.29436i −0.114766 0.761423i −0.969986 0.243159i \(-0.921816\pi\)
0.855220 0.518265i \(-0.173422\pi\)
\(150\) −7.92029 3.61807i −0.646689 0.295414i
\(151\) 19.2568 5.93995i 1.56710 0.483386i 0.614833 0.788657i \(-0.289223\pi\)
0.952265 + 0.305271i \(0.0987472\pi\)
\(152\) 3.63185 + 2.47615i 0.294582 + 0.200843i
\(153\) 12.1111 16.5200i 0.979122 1.33556i
\(154\) 13.3957 2.16216i 1.07945 0.174232i
\(155\) −0.558707 0.0418693i −0.0448764 0.00336302i
\(156\) 0.349203 0.00708836i 0.0279586 0.000567523i
\(157\) 2.16479 4.49524i 0.172769 0.358759i −0.796547 0.604577i \(-0.793342\pi\)
0.969316 + 0.245818i \(0.0790565\pi\)
\(158\) −1.47076 + 1.17289i −0.117007 + 0.0933102i
\(159\) 5.95787 + 0.774697i 0.472490 + 0.0614374i
\(160\) −0.0583824 0.387342i −0.00461554 0.0306221i
\(161\) 17.0622 13.9002i 1.34469 1.09549i
\(162\) −9.06030 + 0.0578401i −0.711845 + 0.00454435i
\(163\) 0.0402880 + 0.537606i 0.00315560 + 0.0421085i 0.998559 0.0536592i \(-0.0170885\pi\)
−0.995404 + 0.0957677i \(0.969469\pi\)
\(164\) −1.65421 + 1.53489i −0.129172 + 0.119854i
\(165\) 0.687888 0.118007i 0.0535520 0.00918680i
\(166\) −9.15505 5.28567i −0.710569 0.410247i
\(167\) −8.16328 + 7.57442i −0.631694 + 0.586126i −0.929646 0.368455i \(-0.879887\pi\)
0.297952 + 0.954581i \(0.403697\pi\)
\(168\) 8.25542 11.0308i 0.636920 0.851045i
\(169\) −9.49904 8.81383i −0.730696 0.677987i
\(170\) −0.160260 0.519550i −0.0122914 0.0398477i
\(171\) 0.829163 + 4.30693i 0.0634077 + 0.329359i
\(172\) −3.17104 8.07969i −0.241790 0.616070i
\(173\) −0.148303 + 0.649758i −0.0112753 + 0.0494002i −0.980253 0.197749i \(-0.936637\pi\)
0.968977 + 0.247150i \(0.0794939\pi\)
\(174\) −3.85452 + 5.90767i −0.292210 + 0.447859i
\(175\) 12.6651 + 3.76250i 0.957395 + 0.284418i
\(176\) 3.65135 + 3.93522i 0.275231 + 0.296629i
\(177\) 3.17666 + 18.5175i 0.238773 + 1.39186i
\(178\) 9.61655 5.55212i 0.720791 0.416149i
\(179\) −7.26329 + 23.5470i −0.542883 + 1.75998i 0.101027 + 0.994884i \(0.467787\pi\)
−0.643910 + 0.765101i \(0.722689\pi\)
\(180\) 0.138407 0.188793i 0.0103163 0.0140718i
\(181\) −6.78190 5.40839i −0.504095 0.402002i 0.338154 0.941091i \(-0.390197\pi\)
−0.842249 + 0.539088i \(0.818769\pi\)
\(182\) 0.537498 0.0867563i 0.0398420 0.00643081i
\(183\) −18.5630 16.5357i −1.37222 1.22235i
\(184\) 23.8980 + 7.37154i 1.76178 + 0.543437i
\(185\) −0.0874755 0.109691i −0.00643133 0.00806463i
\(186\) 3.40028 11.8738i 0.249321 0.870632i
\(187\) −27.1954 21.6876i −1.98872 1.58595i
\(188\) 1.73739 0.836684i 0.126712 0.0610214i
\(189\) 13.6012 2.00162i 0.989344 0.145596i
\(190\) 0.104889 + 0.0505121i 0.00760948 + 0.00366453i
\(191\) −7.36334 15.2901i −0.532793 1.10636i −0.977550 0.210704i \(-0.932424\pi\)
0.444757 0.895651i \(-0.353290\pi\)
\(192\) 12.2674 + 0.669286i 0.885325 + 0.0483015i
\(193\) 15.5485 7.48776i 1.11920 0.538981i 0.219558 0.975599i \(-0.429538\pi\)
0.899647 + 0.436619i \(0.143824\pi\)
\(194\) 1.39866 0.210814i 0.100418 0.0151356i
\(195\) 0.0276013 0.00473499i 0.00197657 0.000339079i
\(196\) −3.32733 + 6.05113i −0.237666 + 0.432223i
\(197\) 0.575306i 0.0409888i −0.999790 0.0204944i \(-0.993476\pi\)
0.999790 0.0204944i \(-0.00652403\pi\)
\(198\) −0.526216 + 15.3768i −0.0373966 + 1.09278i
\(199\) 11.5835 + 0.868063i 0.821132 + 0.0615354i 0.478669 0.877996i \(-0.341120\pi\)
0.342464 + 0.939531i \(0.388739\pi\)
\(200\) 4.42549 + 14.3471i 0.312929 + 1.01449i
\(201\) 10.3411 + 14.5252i 0.729405 + 1.02453i
\(202\) 1.31681 0.0986811i 0.0926502 0.00694318i
\(203\) 4.54310 9.69108i 0.318863 0.680180i
\(204\) −11.6142 + 1.10780i −0.813154 + 0.0775614i
\(205\) −0.112810 + 0.141459i −0.00787898 + 0.00987993i
\(206\) −8.78527 + 5.98969i −0.612098 + 0.417322i
\(207\) 11.7307 + 22.0251i 0.815341 + 1.53085i
\(208\) 0.146510 + 0.157900i 0.0101586 + 0.0109484i
\(209\) 7.36482 1.11007i 0.509435 0.0767850i
\(210\) 0.172660 0.321475i 0.0119147 0.0221839i
\(211\) −6.69837 1.00962i −0.461135 0.0695049i −0.0856335 0.996327i \(-0.527291\pi\)
−0.375502 + 0.926822i \(0.622530\pi\)
\(212\) −1.92765 2.82735i −0.132392 0.194183i
\(213\) −0.0341690 0.0821203i −0.00234122 0.00562679i
\(214\) −3.85610 6.67897i −0.263598 0.456565i
\(215\) −0.347964 0.602692i −0.0237310 0.0411032i
\(216\) 10.4658 + 11.5989i 0.712105 + 0.789208i
\(217\) −2.59976 + 18.5595i −0.176483 + 1.25990i
\(218\) −6.17380 + 6.65377i −0.418142 + 0.450650i
\(219\) 12.2209 + 7.97368i 0.825815 + 0.538811i
\(220\) −0.310793 0.247849i −0.0209537 0.0167100i
\(221\) −1.09121 0.870209i −0.0734026 0.0585366i
\(222\) 2.75878 1.39823i 0.185157 0.0938428i
\(223\) −10.1613 + 10.9512i −0.680449 + 0.733349i −0.974980 0.222293i \(-0.928646\pi\)
0.294531 + 0.955642i \(0.404836\pi\)
\(224\) −13.0551 + 1.11535i −0.872278 + 0.0745228i
\(225\) −6.95795 + 13.2674i −0.463863 + 0.884494i
\(226\) −7.64835 13.2473i −0.508761 0.881200i
\(227\) −6.72925 11.6554i −0.446636 0.773596i 0.551529 0.834156i \(-0.314045\pi\)
−0.998165 + 0.0605599i \(0.980711\pi\)
\(228\) 1.51759 1.98431i 0.100505 0.131414i
\(229\) −14.1721 20.7866i −0.936517 1.37362i −0.927567 0.373658i \(-0.878103\pi\)
−0.00894999 0.999960i \(-0.502849\pi\)
\(230\) 0.654965 + 0.0987202i 0.0431871 + 0.00650941i
\(231\) −2.45892 23.2155i −0.161785 1.52747i
\(232\) 12.0270 1.81278i 0.789610 0.119015i
\(233\) 1.92646 + 2.07623i 0.126206 + 0.136018i 0.792993 0.609230i \(-0.208521\pi\)
−0.666787 + 0.745248i \(0.732331\pi\)
\(234\) −0.0211143 + 0.616992i −0.00138029 + 0.0403340i
\(235\) 0.127748 0.0870972i 0.00833337 0.00568159i
\(236\) 6.67194 8.36635i 0.434306 0.544603i
\(237\) 1.87710 + 2.63660i 0.121931 + 0.171265i
\(238\) −17.6874 + 4.23154i −1.14650 + 0.274290i
\(239\) 0.132343 0.00991774i 0.00856056 0.000641525i −0.0704491 0.997515i \(-0.522443\pi\)
0.0790097 + 0.996874i \(0.474824\pi\)
\(240\) 0.143715 0.0137080i 0.00927675 0.000884848i
\(241\) 2.59397 + 8.40944i 0.167092 + 0.541700i 0.999930 0.0118171i \(-0.00376159\pi\)
−0.832838 + 0.553517i \(0.813285\pi\)
\(242\) 15.0111 + 1.12493i 0.964949 + 0.0723130i
\(243\) −0.749829 + 15.5704i −0.0481015 + 0.998842i
\(244\) 14.1593i 0.906455i
\(245\) −0.191491 + 0.519516i −0.0122339 + 0.0331907i
\(246\) −2.54964 3.06732i −0.162559 0.195565i
\(247\) 0.295512 0.0445412i 0.0188030 0.00283409i
\(248\) −19.1875 + 9.24024i −1.21841 + 0.586756i
\(249\) −9.93850 + 15.2323i −0.629827 + 0.965311i
\(250\) 0.345282 + 0.716986i 0.0218376 + 0.0453462i
\(251\) 15.5829 + 7.50432i 0.983582 + 0.473668i 0.855336 0.518074i \(-0.173351\pi\)
0.128247 + 0.991742i \(0.459065\pi\)
\(252\) −6.00409 5.02624i −0.378222 0.316623i
\(253\) 38.1790 18.3860i 2.40029 1.15592i
\(254\) −2.82919 2.25620i −0.177519 0.141567i
\(255\) −0.907573 + 0.226620i −0.0568344 + 0.0141915i
\(256\) −10.5798 13.2667i −0.661238 0.829166i
\(257\) −5.77161 1.78031i −0.360023 0.111053i 0.109466 0.993991i \(-0.465086\pi\)
−0.469490 + 0.882938i \(0.655562\pi\)
\(258\) 14.5652 4.81860i 0.906790 0.299993i
\(259\) −3.84969 + 2.68390i −0.239208 + 0.166769i
\(260\) −0.0124705 0.00994489i −0.000773387 0.000616756i
\(261\) 9.78771 + 7.17551i 0.605844 + 0.444153i
\(262\) 2.00738 6.50778i 0.124017 0.402052i
\(263\) −18.3787 + 10.6109i −1.13328 + 0.654299i −0.944757 0.327770i \(-0.893703\pi\)
−0.188521 + 0.982069i \(0.560369\pi\)
\(264\) 20.4015 16.9583i 1.25562 1.04371i
\(265\) −0.186618 0.201127i −0.0114639 0.0123551i
\(266\) 1.91178 3.39251i 0.117219 0.208008i
\(267\) −8.63684 17.0410i −0.528566 1.04289i
\(268\) 2.25982 9.90090i 0.138040 0.604794i
\(269\) −5.32525 13.5685i −0.324686 0.827288i −0.996265 0.0863539i \(-0.972478\pi\)
0.671578 0.740934i \(-0.265617\pi\)
\(270\) 0.319875 + 0.262454i 0.0194670 + 0.0159725i
\(271\) 8.08673 + 26.2165i 0.491234 + 1.59254i 0.773890 + 0.633320i \(0.218308\pi\)
−0.282656 + 0.959221i \(0.591215\pi\)
\(272\) −5.27435 4.89388i −0.319804 0.296735i
\(273\) −0.0986635 0.931517i −0.00597139 0.0563780i
\(274\) −13.7883 + 12.7937i −0.832982 + 0.772894i
\(275\) 22.0317 + 12.7200i 1.32856 + 0.767045i
\(276\) 4.92303 13.3332i 0.296332 0.802565i
\(277\) 8.94185 8.29682i 0.537264 0.498508i −0.364225 0.931311i \(-0.618666\pi\)
0.901488 + 0.432803i \(0.142476\pi\)
\(278\) 1.26582 + 16.8911i 0.0759186 + 1.01306i
\(279\) −20.0798 6.95435i −1.20214 0.416346i
\(280\) −0.611928 + 0.146398i −0.0365697 + 0.00874898i
\(281\) −1.07712 7.14625i −0.0642559 0.426310i −0.997711 0.0676166i \(-0.978461\pi\)
0.933456 0.358693i \(-0.116778\pi\)
\(282\) 1.30937 + 3.14689i 0.0779721 + 0.187395i
\(283\) 22.3791 17.8468i 1.33030 1.06088i 0.337472 0.941336i \(-0.390428\pi\)
0.992829 0.119544i \(-0.0381433\pi\)
\(284\) −0.0219806 + 0.0456431i −0.00130431 + 0.00270842i
\(285\) 0.0966073 0.175459i 0.00572252 0.0103933i
\(286\) 1.04541 + 0.0783428i 0.0618165 + 0.00463251i
\(287\) 4.47915 + 4.06996i 0.264396 + 0.240242i
\(288\) 1.61632 14.7688i 0.0952426 0.870259i
\(289\) 24.4740 + 16.6861i 1.43965 + 0.981536i
\(290\) 0.307821 0.0949501i 0.0180759 0.00557566i
\(291\) −0.231072 2.42256i −0.0135457 0.142013i
\(292\) −1.23871 8.21833i −0.0724903 0.480942i
\(293\) 4.32162 + 7.48527i 0.252472 + 0.437294i 0.964206 0.265155i \(-0.0854232\pi\)
−0.711734 + 0.702449i \(0.752090\pi\)
\(294\) −10.3593 6.45508i −0.604165 0.376468i
\(295\) 0.428996 0.743043i 0.0249771 0.0432617i
\(296\) −4.96429 1.94834i −0.288544 0.113245i
\(297\) 26.3671 + 2.34523i 1.52997 + 0.136084i
\(298\) −6.93651 6.43614i −0.401821 0.372836i
\(299\) 1.53192 0.737735i 0.0885934 0.0426643i
\(300\) 8.27859 2.06715i 0.477964 0.119347i
\(301\) −20.8665 + 10.3182i −1.20272 + 0.594731i
\(302\) 11.4284 16.7624i 0.657630 0.964566i
\(303\) −0.0461072 2.27144i −0.00264879 0.130491i
\(304\) 1.53630 0.115130i 0.0881129 0.00660315i
\(305\) 0.169204 + 1.12260i 0.00968861 + 0.0642798i
\(306\) −0.836836 20.6046i −0.0478387 1.17788i
\(307\) 19.4130 15.4813i 1.10796 0.883567i 0.114017 0.993479i \(-0.463628\pi\)
0.993941 + 0.109912i \(0.0350568\pi\)
\(308\) −8.94191 + 9.84093i −0.509512 + 0.560739i
\(309\) 9.46647 + 15.6539i 0.538529 + 0.890519i
\(310\) −0.466031 + 0.317734i −0.0264688 + 0.0180461i
\(311\) 3.16336 + 13.8596i 0.179378 + 0.785905i 0.981918 + 0.189307i \(0.0606242\pi\)
−0.802540 + 0.596598i \(0.796519\pi\)
\(312\) 0.818604 0.680446i 0.0463443 0.0385227i
\(313\) 1.36791i 0.0773189i −0.999252 0.0386594i \(-0.987691\pi\)
0.999252 0.0386594i \(-0.0123087\pi\)
\(314\) −1.11769 4.89694i −0.0630751 0.276350i
\(315\) −0.536089 0.326749i −0.0302052 0.0184102i
\(316\) 0.410198 1.79719i 0.0230754 0.101100i
\(317\) 11.2888 + 2.57659i 0.634040 + 0.144715i 0.527448 0.849587i \(-0.323149\pi\)
0.106592 + 0.994303i \(0.466006\pi\)
\(318\) 5.17561 3.12988i 0.290234 0.175515i
\(319\) 12.8494 16.1126i 0.719426 0.902132i
\(320\) −0.411279 0.381611i −0.0229912 0.0213327i
\(321\) −11.8354 + 5.99853i −0.660590 + 0.334805i
\(322\) 4.70456 21.6503i 0.262175 1.20652i
\(323\) −9.73223 + 2.22132i −0.541516 + 0.123597i
\(324\) 6.90611 5.57993i 0.383673 0.309996i
\(325\) 0.884017 + 0.510387i 0.0490364 + 0.0283112i
\(326\) 0.369154 + 0.397854i 0.0204456 + 0.0220351i
\(327\) 10.8521 + 11.2298i 0.600122 + 0.621010i
\(328\) −1.02503 + 6.80063i −0.0565978 + 0.375502i
\(329\) −2.63242 4.45162i −0.145130 0.245426i
\(330\) 0.467356 0.524655i 0.0257271 0.0288813i
\(331\) −3.28981 14.4136i −0.180824 0.792242i −0.981239 0.192796i \(-0.938245\pi\)
0.800415 0.599446i \(-0.204613\pi\)
\(332\) 10.2434 1.54395i 0.562182 0.0847353i
\(333\) −2.14349 4.87045i −0.117462 0.266899i
\(334\) −1.67089 + 11.0857i −0.0914272 + 0.606580i
\(335\) 0.0608497 0.811983i 0.00332457 0.0443634i
\(336\) −0.148340 4.82668i −0.00809264 0.263317i
\(337\) −0.0667522 0.890747i −0.00363623 0.0485221i 0.995091 0.0989690i \(-0.0315545\pi\)
−0.998727 + 0.0504469i \(0.983935\pi\)
\(338\) −13.0088 0.974877i −0.707587 0.0530263i
\(339\) −23.4749 + 11.8977i −1.27498 + 0.646196i
\(340\) 0.440213 + 0.300132i 0.0238739 + 0.0162770i
\(341\) −13.1834 + 33.5906i −0.713919 + 1.81903i
\(342\) 3.35600 + 2.86947i 0.181471 + 0.155163i
\(343\) 16.9294 + 7.50979i 0.914099 + 0.405490i
\(344\) −22.9089 13.2265i −1.23517 0.713124i
\(345\) 0.230983 1.11593i 0.0124357 0.0600799i
\(346\) 0.291113 + 0.604502i 0.0156503 + 0.0324982i
\(347\) −3.96378 0.904708i −0.212787 0.0485672i 0.114798 0.993389i \(-0.463378\pi\)
−0.327585 + 0.944822i \(0.606235\pi\)
\(348\) −0.656343 6.88111i −0.0351837 0.368866i
\(349\) −8.66712 12.7123i −0.463940 0.680476i 0.520963 0.853579i \(-0.325573\pi\)
−0.984904 + 0.173104i \(0.944620\pi\)
\(350\) 12.3302 4.98825i 0.659077 0.266633i
\(351\) 1.05797 + 0.0941017i 0.0564704 + 0.00502278i
\(352\) −24.9472 3.76019i −1.32969 0.200419i
\(353\) 1.21431 + 16.2039i 0.0646313 + 0.862445i 0.931461 + 0.363841i \(0.118535\pi\)
−0.866830 + 0.498604i \(0.833846\pi\)
\(354\) 14.1234 + 12.5809i 0.750648 + 0.668669i
\(355\) −0.00119726 + 0.00388141i −6.35438e−5 + 0.000206004i
\(356\) −3.97540 + 10.1292i −0.210696 + 0.536844i
\(357\) 5.61173 + 30.7823i 0.297004 + 1.62917i
\(358\) 9.06315 + 23.0925i 0.479002 + 1.22048i
\(359\) −33.4686 + 2.50813i −1.76641 + 0.132374i −0.917900 0.396813i \(-0.870116\pi\)
−0.848506 + 0.529186i \(0.822497\pi\)
\(360\) −0.0289520 0.712854i −0.00152590 0.0375707i
\(361\) −8.43127 + 14.6034i −0.443751 + 0.768599i
\(362\) −8.73268 −0.458979
\(363\) 3.33949 25.6826i 0.175278 1.34799i
\(364\) −0.358792 + 0.394865i −0.0188058 + 0.0206966i
\(365\) −0.196419 0.636776i −0.0102811 0.0333304i
\(366\) −24.9898 1.36339i −1.30624 0.0712656i
\(367\) −0.209041 + 1.38690i −0.0109119 + 0.0723955i −0.993624 0.112745i \(-0.964036\pi\)
0.982712 + 0.185140i \(0.0592739\pi\)
\(368\) 8.15939 3.20233i 0.425338 0.166933i
\(369\) −5.50843 + 4.09263i −0.286757 + 0.213054i
\(370\) −0.137701 0.0314295i −0.00715876 0.00163394i
\(371\) −7.11513 + 5.79653i −0.369399 + 0.300941i
\(372\) 4.64953 + 11.1745i 0.241067 + 0.579370i
\(373\) 0.370737 0.642136i 0.0191961 0.0332485i −0.856268 0.516532i \(-0.827223\pi\)
0.875464 + 0.483284i \(0.160556\pi\)
\(374\) −35.0180 −1.81074
\(375\) 1.26410 0.525971i 0.0652777 0.0271610i
\(376\) 2.54995 5.29503i 0.131504 0.273070i
\(377\) 0.515578 0.646514i 0.0265536 0.0332972i
\(378\) 9.44896 10.1127i 0.486002 0.520139i
\(379\) −2.32124 2.91075i −0.119234 0.149515i 0.718632 0.695391i \(-0.244769\pi\)
−0.837866 + 0.545875i \(0.816197\pi\)
\(380\) −0.111221 + 0.0253856i −0.00570554 + 0.00130225i
\(381\) −4.14117 + 4.64888i −0.212159 + 0.238170i
\(382\) −15.3929 7.41283i −0.787569 0.379273i
\(383\) 8.30746 + 21.1671i 0.424491 + 1.08159i 0.969919 + 0.243428i \(0.0782720\pi\)
−0.545428 + 0.838158i \(0.683633\pi\)
\(384\) −3.89976 + 2.77639i −0.199009 + 0.141682i
\(385\) −0.591346 + 0.887080i −0.0301378 + 0.0452098i
\(386\) 7.53808 15.6530i 0.383678 0.796716i
\(387\) −6.91288 25.4737i −0.351401 1.29490i
\(388\) −0.942765 + 1.01606i −0.0478616 + 0.0515826i
\(389\) 8.42363 12.3552i 0.427095 0.626433i −0.551022 0.834491i \(-0.685762\pi\)
0.978117 + 0.208058i \(0.0667142\pi\)
\(390\) 0.0187526 0.0210516i 0.000949572 0.00106599i
\(391\) −49.1864 + 28.3978i −2.48746 + 1.43614i
\(392\) 3.57007 + 20.7411i 0.180316 + 1.04758i
\(393\) −10.9918 4.05850i −0.554462 0.204724i
\(394\) −0.361108 0.452815i −0.0181924 0.0228125i
\(395\) 0.0110453 0.147390i 0.000555751 0.00741598i
\(396\) −8.99171 12.1023i −0.451851 0.608163i
\(397\) 7.98602 11.7133i 0.400807 0.587876i −0.571782 0.820405i \(-0.693748\pi\)
0.972589 + 0.232529i \(0.0747002\pi\)
\(398\) 9.66207 6.58749i 0.484316 0.330201i
\(399\) −5.64892 3.60228i −0.282800 0.180339i
\(400\) 4.34786 + 2.96432i 0.217393 + 0.148216i
\(401\) −1.86600 + 0.732349i −0.0931834 + 0.0365718i −0.411475 0.911421i \(-0.634986\pi\)
0.318291 + 0.947993i \(0.396891\pi\)
\(402\) 17.2565 + 4.94171i 0.860678 + 0.246470i
\(403\) −0.528979 + 1.34782i −0.0263503 + 0.0671395i
\(404\) −0.948565 + 0.880140i −0.0471929 + 0.0437886i
\(405\) 0.480860 0.524925i 0.0238941 0.0260837i
\(406\) −2.50709 10.4793i −0.124425 0.520080i
\(407\) −8.41154 + 3.30128i −0.416944 + 0.163639i
\(408\) −25.5689 + 24.7089i −1.26585 + 1.22327i
\(409\) 14.9756 3.41808i 0.740495 0.169013i 0.164398 0.986394i \(-0.447432\pi\)
0.576098 + 0.817381i \(0.304575\pi\)
\(410\) 0.182149i 0.00899570i
\(411\) 20.6863 + 24.8865i 1.02038 + 1.22756i
\(412\) 3.07118 9.95651i 0.151306 0.490522i
\(413\) −23.8796 15.9186i −1.17504 0.783306i
\(414\) 23.0578 + 9.97253i 1.13323 + 0.490123i
\(415\) 0.793686 0.244820i 0.0389605 0.0120177i
\(416\) −1.00100 0.150877i −0.0490781 0.00739734i
\(417\) 29.1365 0.591433i 1.42682 0.0289626i
\(418\) 5.09998 5.49647i 0.249448 0.268841i
\(419\) −1.19729 + 0.369315i −0.0584914 + 0.0180422i −0.323863 0.946104i \(-0.604982\pi\)
0.265371 + 0.964146i \(0.414505\pi\)
\(420\) 0.0641317 + 0.351785i 0.00312931 + 0.0171653i
\(421\) 7.79067 + 2.40310i 0.379694 + 0.117120i 0.478726 0.877964i \(-0.341099\pi\)
−0.0990324 + 0.995084i \(0.531575\pi\)
\(422\) −5.90591 + 3.40978i −0.287495 + 0.165985i
\(423\) 5.52888 1.95447i 0.268823 0.0950295i
\(424\) −9.96571 3.07401i −0.483978 0.149287i
\(425\) −30.7204 14.7942i −1.49016 0.717622i
\(426\) −0.0784392 0.0431885i −0.00380039 0.00209249i
\(427\) 37.8363 3.23253i 1.83102 0.156433i
\(428\) 7.03499 + 2.76103i 0.340049 + 0.133459i
\(429\) 0.232571 1.78861i 0.0112286 0.0863547i
\(430\) −0.652175 0.255960i −0.0314507 0.0123435i
\(431\) 7.32528 + 10.7442i 0.352846 + 0.517531i 0.961096 0.276215i \(-0.0890803\pi\)
−0.608249 + 0.793746i \(0.708128\pi\)
\(432\) 5.40249 + 0.891328i 0.259927 + 0.0428840i
\(433\) 4.06555 + 8.44220i 0.195378 + 0.405706i 0.975525 0.219890i \(-0.0705699\pi\)
−0.780147 + 0.625597i \(0.784856\pi\)
\(434\) 9.60318 + 16.2397i 0.460967 + 0.779532i
\(435\) −0.134267 0.537715i −0.00643760 0.0257815i
\(436\) 0.664696 8.86975i 0.0318331 0.424784i
\(437\) 2.70610 11.8562i 0.129450 0.567158i
\(438\) 14.6238 1.39487i 0.698754 0.0666496i
\(439\) −24.4016 + 19.4596i −1.16462 + 0.928756i −0.998356 0.0573249i \(-0.981743\pi\)
−0.166267 + 0.986081i \(0.553171\pi\)
\(440\) −1.21151 −0.0577567
\(441\) −12.0603 + 17.1915i −0.574302 + 0.818644i
\(442\) −1.40509 −0.0668332
\(443\) 3.86729 3.08406i 0.183740 0.146528i −0.527300 0.849679i \(-0.676796\pi\)
0.711041 + 0.703151i \(0.248224\pi\)
\(444\) −1.25933 + 2.75678i −0.0597650 + 0.130831i
\(445\) −0.194140 + 0.850582i −0.00920310 + 0.0403214i
\(446\) −1.12391 + 14.9976i −0.0532189 + 0.710156i
\(447\) −11.7070 + 11.3132i −0.553722 + 0.535097i
\(448\) −13.6231 + 12.9073i −0.643631 + 0.609814i
\(449\) 6.37021 + 13.2279i 0.300629 + 0.624262i 0.995488 0.0948831i \(-0.0302477\pi\)
−0.694859 + 0.719146i \(0.744533\pi\)
\(450\) 2.85119 + 14.8100i 0.134406 + 0.698148i
\(451\) 6.56448 + 9.62832i 0.309109 + 0.453380i
\(452\) 13.9535 + 5.47634i 0.656317 + 0.257585i
\(453\) −27.7255 21.2043i −1.30266 0.996265i
\(454\) −12.6124 4.94999i −0.591927 0.232314i
\(455\) −0.0237276 + 0.0355939i −0.00111237 + 0.00166867i
\(456\) −0.154512 7.61191i −0.00723568 0.356460i
\(457\) 26.6826 + 12.8497i 1.24816 + 0.601082i 0.937018 0.349282i \(-0.113574\pi\)
0.311142 + 0.950364i \(0.399289\pi\)
\(458\) −24.2020 7.46532i −1.13088 0.348832i
\(459\) −35.4757 0.493573i −1.65586 0.0230380i
\(460\) −0.562110 + 0.324534i −0.0262085 + 0.0151315i
\(461\) −23.9753 7.39539i −1.11664 0.344438i −0.319110 0.947718i \(-0.603384\pi\)
−0.797529 + 0.603280i \(0.793860\pi\)
\(462\) −16.5073 16.7292i −0.767989 0.778312i
\(463\) 22.9116 7.06730i 1.06479 0.328445i 0.287629 0.957742i \(-0.407133\pi\)
0.777165 + 0.629297i \(0.216657\pi\)
\(464\) 2.89951 3.12492i 0.134606 0.145071i
\(465\) 0.502167 + 0.830390i 0.0232874 + 0.0385084i
\(466\) 2.81949 + 0.424970i 0.130611 + 0.0196864i
\(467\) 10.9863 3.38883i 0.508386 0.156816i −0.0299423 0.999552i \(-0.509532\pi\)
0.538328 + 0.842735i \(0.319056\pi\)
\(468\) −0.360790 0.485602i −0.0166775 0.0224469i
\(469\) −26.9730 3.77830i −1.24550 0.174466i
\(470\) 0.0458796 0.148738i 0.00211627 0.00686077i
\(471\) −8.51737 + 1.46115i −0.392460 + 0.0673262i
\(472\) 32.6132i 1.50114i
\(473\) −43.6983 + 9.97385i −2.00925 + 0.458598i
\(474\) 3.13238 + 0.897011i 0.143875 + 0.0412011i
\(475\) 6.79620 2.66731i 0.311831 0.122385i
\(476\) 10.9656 14.0485i 0.502607 0.643911i
\(477\) −4.89183 9.18471i −0.223982 0.420539i
\(478\) 0.0979402 0.0908752i 0.00447968 0.00415654i
\(479\) −4.63102 + 11.7997i −0.211597 + 0.539140i −0.996786 0.0801166i \(-0.974471\pi\)
0.785189 + 0.619257i \(0.212566\pi\)
\(480\) −0.487889 + 0.471478i −0.0222690 + 0.0215199i
\(481\) −0.337511 + 0.132463i −0.0153892 + 0.00603980i
\(482\) 7.32012 + 4.99077i 0.333422 + 0.227323i
\(483\) −36.7527 10.1113i −1.67231 0.460081i
\(484\) −12.1879 + 8.30955i −0.553994 + 0.377707i
\(485\) −0.0626037 + 0.0918228i −0.00284269 + 0.00416946i
\(486\) 9.18306 + 12.7259i 0.416552 + 0.577259i
\(487\) −1.93017 + 25.7563i −0.0874644 + 1.16713i 0.764888 + 0.644164i \(0.222794\pi\)
−0.852352 + 0.522968i \(0.824825\pi\)
\(488\) 26.9055 + 33.7384i 1.21795 + 1.52727i
\(489\) 0.718086 0.596893i 0.0324730 0.0269924i
\(490\) 0.175370 + 0.529099i 0.00792241 + 0.0239023i
\(491\) 34.4423 19.8853i 1.55436 0.897410i 0.556580 0.830794i \(-0.312113\pi\)
0.997779 0.0666156i \(-0.0212201\pi\)
\(492\) 3.82744 + 0.792225i 0.172554 + 0.0357163i
\(493\) −15.5599 + 22.8222i −0.700783 + 1.02786i
\(494\) 0.204635 0.220545i 0.00920698 0.00992277i
\(495\) −0.857518 0.852061i −0.0385426 0.0382973i
\(496\) −3.23857 + 6.72496i −0.145416 + 0.301959i
\(497\) 0.126985 + 0.0483160i 0.00569606 + 0.00216727i
\(498\) 1.73859 + 18.2274i 0.0779080 + 0.816788i
\(499\) −1.80664 4.60324i −0.0808763 0.206069i 0.884716 0.466131i \(-0.154352\pi\)
−0.965592 + 0.260061i \(0.916257\pi\)
\(500\) −0.702595 0.338352i −0.0314210 0.0151316i
\(501\) 18.8878 + 3.90951i 0.843845 + 0.174664i
\(502\) 16.9754 3.87452i 0.757648 0.172928i
\(503\) −4.57973 5.74281i −0.204200 0.256059i 0.669177 0.743103i \(-0.266647\pi\)
−0.873378 + 0.487044i \(0.838075\pi\)
\(504\) −23.8573 0.567436i −1.06269 0.0252756i
\(505\) −0.0646878 + 0.0811160i −0.00287857 + 0.00360961i
\(506\) 18.5096 38.4356i 0.822852 1.70867i
\(507\) −2.89405 + 22.2569i −0.128529 + 0.988465i
\(508\) 3.54603 0.157330
\(509\) −7.34710 + 12.7255i −0.325654 + 0.564050i −0.981645 0.190719i \(-0.938918\pi\)
0.655990 + 0.754769i \(0.272251\pi\)
\(510\) −0.572093 + 0.748035i −0.0253327 + 0.0331235i
\(511\) −21.6781 + 5.18630i −0.958984 + 0.229428i
\(512\) −11.2653 2.57124i −0.497862 0.113634i
\(513\) 5.24411 5.49643i 0.231533 0.242673i
\(514\) −5.66022 + 2.22147i −0.249662 + 0.0979850i
\(515\) 0.124513 0.826088i 0.00548668 0.0364018i
\(516\) −8.21492 + 12.5907i −0.361642 + 0.554274i
\(517\) −2.93520 9.51568i −0.129090 0.418499i
\(518\) −1.34540 + 4.52883i −0.0591137 + 0.198985i
\(519\) 1.06578 0.443454i 0.0467825 0.0194655i
\(520\) −0.0486117 −0.00213176
\(521\) 0.645522 1.11808i 0.0282809 0.0489839i −0.851539 0.524292i \(-0.824330\pi\)
0.879819 + 0.475308i \(0.157663\pi\)
\(522\) 12.2077 0.495805i 0.534316 0.0217008i
\(523\) −43.4318 + 3.25476i −1.89914 + 0.142321i −0.972391 0.233359i \(-0.925028\pi\)
−0.926749 + 0.375680i \(0.877409\pi\)
\(524\) 2.43816 + 6.21232i 0.106511 + 0.271386i
\(525\) −7.41380 21.6500i −0.323565 0.944883i
\(526\) −7.80533 + 19.8877i −0.340329 + 0.867143i
\(527\) 14.2557 46.2158i 0.620988 2.01319i
\(528\) 1.88463 9.10512i 0.0820180 0.396250i
\(529\) −3.45183 46.0615i −0.150080 2.00267i
\(530\) −0.273128 0.0411674i −0.0118639 0.00178820i
\(531\) 22.9369 23.0838i 0.995378 1.00175i
\(532\) 0.608052 + 3.76718i 0.0263624 + 0.163328i
\(533\) 0.263398 + 0.386334i 0.0114090 + 0.0167340i
\(534\) −17.4942 7.99154i −0.757049 0.345828i
\(535\) 0.590753 + 0.134836i 0.0255405 + 0.00582945i
\(536\) −13.4291 27.8858i −0.580047 1.20448i
\(537\) 40.5209 13.4055i 1.74860 0.578490i
\(538\) −12.7081 7.33704i −0.547886 0.316322i
\(539\) 28.3382 + 21.6478i 1.22061 + 0.932436i
\(540\) −0.405421 0.00564062i −0.0174466 0.000242734i
\(541\) 14.3286 36.5087i 0.616034 1.56963i −0.192574 0.981283i \(-0.561683\pi\)
0.808608 0.588348i \(-0.200221\pi\)
\(542\) 22.8206 + 15.5588i 0.980227 + 0.668307i
\(543\) −0.818487 + 15.0022i −0.0351246 + 0.643804i
\(544\) 33.7197 + 2.52694i 1.44572 + 0.108342i
\(545\) −0.0532946 0.711168i −0.00228289 0.0304631i
\(546\) −0.662351 0.671255i −0.0283460 0.0287271i
\(547\) 0.111062 1.48202i 0.00474867 0.0633666i −0.994326 0.106376i \(-0.966075\pi\)
0.999075 + 0.0430091i \(0.0136944\pi\)
\(548\) 2.74713 18.2260i 0.117352 0.778578i
\(549\) −4.68443 + 42.8030i −0.199927 + 1.82679i
\(550\) 25.3249 3.81712i 1.07986 0.162763i
\(551\) −1.31608 5.76611i −0.0560667 0.245644i
\(552\) −13.6053 41.1248i −0.579080 1.75039i
\(553\) −4.89608 0.685830i −0.208203 0.0291645i
\(554\) 1.83025 12.1429i 0.0777600 0.515904i
\(555\) −0.0669001 + 0.233616i −0.00283975 + 0.00991645i
\(556\) −11.2899 12.1676i −0.478796 0.516020i
\(557\) −9.39273 5.42290i −0.397983 0.229775i 0.287630 0.957741i \(-0.407133\pi\)
−0.685613 + 0.727966i \(0.740466\pi\)
\(558\) −20.1696 + 7.12999i −0.853847 + 0.301837i
\(559\) −1.75338 + 0.400198i −0.0741602 + 0.0169266i
\(560\) −0.135689 + 0.173837i −0.00573392 + 0.00734596i
\(561\) −3.28213 + 60.1585i −0.138571 + 2.53990i
\(562\) −5.33335 4.94863i −0.224974 0.208745i
\(563\) −8.90505 + 11.1666i −0.375303 + 0.470615i −0.933232 0.359273i \(-0.883025\pi\)
0.557929 + 0.829888i \(0.311596\pi\)
\(564\) −2.92584 1.61096i −0.123200 0.0678337i
\(565\) 1.17172 + 0.267438i 0.0492948 + 0.0112512i
\(566\) 6.41224 28.0939i 0.269527 1.18087i
\(567\) −16.4873 17.1805i −0.692400 0.721514i
\(568\) 0.0343563 + 0.150525i 0.00144156 + 0.00631588i
\(569\) 20.2115i 0.847308i 0.905824 + 0.423654i \(0.139253\pi\)
−0.905824 + 0.423654i \(0.860747\pi\)
\(570\) −0.0340936 0.198740i −0.00142802 0.00832428i
\(571\) 8.28594 + 36.3031i 0.346756 + 1.51924i 0.784496 + 0.620134i \(0.212922\pi\)
−0.437740 + 0.899101i \(0.644221\pi\)
\(572\) −0.848796 + 0.578699i −0.0354899 + 0.0241966i
\(573\) −14.1775 + 25.7492i −0.592272 + 1.07569i
\(574\) 6.08011 + 0.391930i 0.253779 + 0.0163588i
\(575\) 32.4760 25.8988i 1.35434 1.08005i
\(576\) −11.3788 17.9816i −0.474116 0.749232i
\(577\) 3.08859 + 20.4914i 0.128580 + 0.853070i 0.956396 + 0.292072i \(0.0943446\pi\)
−0.827817 + 0.560999i \(0.810417\pi\)
\(578\) 29.7367 2.22846i 1.23688 0.0926916i
\(579\) −26.1843 14.4170i −1.08818 0.599151i
\(580\) −0.177821 + 0.260816i −0.00738362 + 0.0108298i
\(581\) −6.46428 27.0199i −0.268183 1.12097i
\(582\) −1.70247 1.76173i −0.0705696 0.0730259i
\(583\) −15.9211 + 7.66718i −0.659383 + 0.317542i
\(584\) −18.5681 17.2287i −0.768352 0.712927i
\(585\) −0.0344077 0.0341887i −0.00142258 0.00141353i
\(586\) 8.09984 + 3.17895i 0.334601 + 0.131321i
\(587\) 13.7312 23.7831i 0.566747 0.981634i −0.430138 0.902763i \(-0.641535\pi\)
0.996885 0.0788710i \(-0.0251315\pi\)
\(588\) 11.8805 1.38377i 0.489945 0.0570658i
\(589\) 5.17792 + 8.96842i 0.213352 + 0.369537i
\(590\) −0.128737 0.854111i −0.00530000 0.0351632i
\(591\) −0.811752 + 0.577918i −0.0333910 + 0.0237724i
\(592\) −1.78608 + 0.550932i −0.0734074 + 0.0226432i
\(593\) 27.8424 + 18.9826i 1.14335 + 0.779524i 0.978388 0.206776i \(-0.0662970\pi\)
0.164963 + 0.986300i \(0.447249\pi\)
\(594\) 22.2252 14.7042i 0.911911 0.603320i
\(595\) 0.701510 1.24485i 0.0287591 0.0510339i
\(596\) 9.24665 + 0.692940i 0.378757 + 0.0283839i
\(597\) −10.4113 17.2162i −0.426105 0.704613i
\(598\) 0.742693 1.54222i 0.0303710 0.0630660i
\(599\) 4.57573 3.64902i 0.186959 0.149095i −0.525538 0.850770i \(-0.676136\pi\)
0.712497 + 0.701675i \(0.247564\pi\)
\(600\) 15.7980 20.6566i 0.644951 0.843300i
\(601\) 4.92285 + 32.6610i 0.200807 + 1.33227i 0.831191 + 0.555987i \(0.187659\pi\)
−0.630384 + 0.776284i \(0.717103\pi\)
\(602\) −9.94720 + 21.2188i −0.405417 + 0.864813i
\(603\) 10.1069 29.1824i 0.411586 1.18840i
\(604\) 1.48566 + 19.8248i 0.0604507 + 0.806658i
\(605\) −0.866998 + 0.804456i −0.0352485 + 0.0327058i
\(606\) −1.46203 1.75887i −0.0593907 0.0714494i
\(607\) −8.40620 4.85332i −0.341197 0.196990i 0.319604 0.947551i \(-0.396450\pi\)
−0.660801 + 0.750561i \(0.729783\pi\)
\(608\) −5.30753 + 4.92467i −0.215249 + 0.199722i
\(609\) −18.2378 + 3.32481i −0.739031 + 0.134728i
\(610\) 0.837811 + 0.777375i 0.0339220 + 0.0314750i
\(611\) −0.117774 0.381814i −0.00476463 0.0154466i
\(612\) 13.2300 + 15.2747i 0.534791 + 0.617441i
\(613\) 0.553112 + 1.40931i 0.0223400 + 0.0569214i 0.941609 0.336710i \(-0.109314\pi\)
−0.919269 + 0.393631i \(0.871219\pi\)
\(614\) 5.56236 24.3703i 0.224479 0.983505i
\(615\) 0.312920 + 0.0170723i 0.0126181 + 0.000688420i
\(616\) −2.60682 + 40.4402i −0.105032 + 1.62938i
\(617\) 15.5375 + 16.7454i 0.625514 + 0.674144i 0.963716 0.266929i \(-0.0860091\pi\)
−0.338202 + 0.941074i \(0.609819\pi\)
\(618\) 17.2766 + 6.37904i 0.694965 + 0.256603i
\(619\) −5.45190 + 3.14765i −0.219130 + 0.126515i −0.605547 0.795809i \(-0.707046\pi\)
0.386417 + 0.922324i \(0.373712\pi\)
\(620\) 0.162916 0.528162i 0.00654288 0.0212115i
\(621\) 19.2933 38.6771i 0.774213 1.55206i
\(622\) 11.1892 + 8.92311i 0.448647 + 0.357784i
\(623\) 27.9746 + 8.31056i 1.12078 + 0.332955i
\(624\) 0.0756204 0.365341i 0.00302724 0.0146253i
\(625\) 23.7997 + 7.34123i 0.951987 + 0.293649i
\(626\) −0.858610 1.07666i −0.0343170 0.0430321i
\(627\) −8.96456 9.27659i −0.358010 0.370471i
\(628\) 3.84821 + 3.06885i 0.153560 + 0.122460i
\(629\) 10.9117 5.25482i 0.435079 0.209523i
\(630\) −0.627042 + 0.0793131i −0.0249819 + 0.00315991i
\(631\) 11.5085 + 5.54222i 0.458147 + 0.220632i 0.648699 0.761045i \(-0.275313\pi\)
−0.190552 + 0.981677i \(0.561028\pi\)
\(632\) −2.43762 5.06177i −0.0969634 0.201347i
\(633\) 5.30423 + 10.4655i 0.210824 + 0.415968i
\(634\) 10.5025 5.05773i 0.417107 0.200868i
\(635\) 0.281142 0.0423753i 0.0111568 0.00168161i
\(636\) −2.05296 + 5.56009i −0.0814051 + 0.220472i
\(637\) 1.13706 + 0.868612i 0.0450521 + 0.0344157i
\(638\) 20.7473i 0.821393i
\(639\) −0.0815469 + 0.130705i −0.00322595 + 0.00517063i
\(640\) 0.218002 + 0.0163370i 0.00861729 + 0.000645777i
\(641\) 1.15218 + 3.73526i 0.0455082 + 0.147534i 0.975475 0.220109i \(-0.0706412\pi\)
−0.929967 + 0.367643i \(0.880165\pi\)
\(642\) −5.55035 + 12.1502i −0.219055 + 0.479531i
\(643\) 19.7213 1.47791i 0.777732 0.0582829i 0.320052 0.947400i \(-0.396300\pi\)
0.457680 + 0.889117i \(0.348681\pi\)
\(644\) 9.62342 + 19.4615i 0.379216 + 0.766889i
\(645\) −0.500848 + 1.09640i −0.0197209 + 0.0431708i
\(646\) −6.26582 + 7.85709i −0.246526 + 0.309133i
\(647\) −8.50544 + 5.79891i −0.334383 + 0.227979i −0.718858 0.695157i \(-0.755335\pi\)
0.384475 + 0.923136i \(0.374383\pi\)
\(648\) 5.85272 26.4187i 0.229917 1.03783i
\(649\) −37.5863 40.5084i −1.47539 1.59010i
\(650\) 1.01616 0.153161i 0.0398570 0.00600747i
\(651\) 28.7988 14.9755i 1.12872 0.586937i
\(652\) −0.525902 0.0792670i −0.0205959 0.00310433i
\(653\) 13.7639 + 20.1880i 0.538625 + 0.790017i 0.995011 0.0997645i \(-0.0318090\pi\)
−0.456387 + 0.889782i \(0.650857\pi\)
\(654\) 15.5903 + 2.02719i 0.609627 + 0.0792693i
\(655\) 0.267543 + 0.463398i 0.0104538 + 0.0181065i
\(656\) 1.20522 + 2.08751i 0.0470560 + 0.0815035i
\(657\) −1.02565 25.2535i −0.0400144 0.985234i
\(658\) −4.86613 1.85149i −0.189702 0.0721787i
\(659\) 6.26632 6.75349i 0.244101 0.263079i −0.599103 0.800672i \(-0.704476\pi\)
0.843204 + 0.537593i \(0.180666\pi\)
\(660\) −0.0375086 + 0.687501i −0.00146002 + 0.0267609i
\(661\) −4.63850 3.69908i −0.180417 0.143878i 0.529117 0.848549i \(-0.322523\pi\)
−0.709534 + 0.704671i \(0.751095\pi\)
\(662\) −11.6365 9.27978i −0.452264 0.360669i
\(663\) −0.131695 + 2.41385i −0.00511459 + 0.0937460i
\(664\) 21.4740 23.1435i 0.833354 0.898142i
\(665\) 0.0932265 + 0.291409i 0.00361517 + 0.0113004i
\(666\) −4.74419 2.48804i −0.183834 0.0964095i
\(667\) −16.8250 29.1417i −0.651466 1.12837i
\(668\) −5.49292 9.51402i −0.212527 0.368108i
\(669\) 25.6595 + 3.33649i 0.992054 + 0.128996i
\(670\) −0.461772 0.677294i −0.0178398 0.0261662i
\(671\) 72.3022 + 10.8978i 2.79120 + 0.420705i
\(672\) 14.6881 + 17.3002i 0.566606 + 0.667368i
\(673\) 34.5137 5.20211i 1.33041 0.200526i 0.554927 0.831899i \(-0.312746\pi\)
0.775479 + 0.631373i \(0.217508\pi\)
\(674\) −0.611644 0.659195i −0.0235596 0.0253912i
\(675\) 25.7098 3.51006i 0.989569 0.135102i
\(676\) 10.5622 7.20118i 0.406238 0.276968i
\(677\) −2.77881 + 3.48451i −0.106798 + 0.133921i −0.832358 0.554239i \(-0.813010\pi\)
0.725560 + 0.688159i \(0.241581\pi\)
\(678\) −11.0088 + 24.0993i −0.422790 + 0.925526i
\(679\) 2.93033 + 2.28728i 0.112456 + 0.0877777i
\(680\) 1.61924 0.121345i 0.0620951 0.00465339i
\(681\) −9.68586 + 21.2032i −0.371163 + 0.812510i
\(682\) 10.7077 + 34.7136i 0.410021 + 1.32925i
\(683\) −8.43324 0.631984i −0.322689 0.0241822i −0.0875990 0.996156i \(-0.527919\pi\)
−0.235090 + 0.971974i \(0.575538\pi\)
\(684\) −4.32433 0.147985i −0.165345 0.00565833i
\(685\) 1.47785i 0.0564658i
\(686\) 18.0386 4.71537i 0.688717 0.180034i
\(687\) −15.0933 + 40.8777i −0.575845 + 1.55958i
\(688\) −9.16782 + 1.38183i −0.349520 + 0.0526816i
\(689\) −0.638829 + 0.307644i −0.0243374 + 0.0117203i
\(690\) −0.518647 1.02332i −0.0197445 0.0389571i
\(691\) −9.77409 20.2961i −0.371824 0.772100i 0.628158 0.778086i \(-0.283809\pi\)
−0.999982 + 0.00598559i \(0.998095\pi\)
\(692\) −0.592369 0.285270i −0.0225185 0.0108443i
\(693\) −30.2868 + 26.7905i −1.15050 + 1.01769i
\(694\) −3.68770 + 1.77590i −0.139983 + 0.0674124i
\(695\) −1.04050 0.829773i −0.0394685 0.0314751i
\(696\) −14.6394 15.1490i −0.554905 0.574220i
\(697\) −9.73810 12.2112i −0.368857 0.462532i
\(698\) −14.8010 4.56552i −0.560228 0.172807i
\(699\) 0.994333 4.80387i 0.0376091 0.181699i
\(700\) −6.39895 + 11.3551i −0.241858 + 0.429184i
\(701\) 3.67674 + 2.93210i 0.138868 + 0.110744i 0.690460 0.723370i \(-0.257408\pi\)
−0.551592 + 0.834114i \(0.685979\pi\)
\(702\) 0.891781 0.590002i 0.0336581 0.0222682i
\(703\) −0.764370 + 2.47803i −0.0288288 + 0.0934606i
\(704\) −31.2939 + 18.0676i −1.17943 + 0.680947i
\(705\) −0.251222 0.0927588i −0.00946155 0.00349350i
\(706\) 11.1266 + 11.9916i 0.418756 + 0.451311i
\(707\) 2.56845 + 2.33381i 0.0965966 + 0.0877719i
\(708\) −18.5071 1.00971i −0.695539 0.0379472i
\(709\) −5.28569 + 23.1581i −0.198508 + 0.869722i 0.773317 + 0.634019i \(0.218596\pi\)
−0.971825 + 0.235702i \(0.924261\pi\)
\(710\) 0.00149394 + 0.00380650i 5.60666e−5 + 0.000142855i
\(711\) 1.83459 5.29714i 0.0688026 0.198658i
\(712\) 9.77495 + 31.6896i 0.366332 + 1.18762i
\(713\) 43.1911 + 40.0755i 1.61752 + 1.50084i
\(714\) 23.7383 + 20.7059i 0.888385 + 0.774900i
\(715\) −0.0603800 + 0.0560245i −0.00225809 + 0.00209520i
\(716\) −21.0526 12.1547i −0.786772 0.454243i
\(717\) −0.146938 0.176772i −0.00548750 0.00660168i
\(718\) −24.7684 + 22.9817i −0.924347 + 0.857669i
\(719\) −2.39997 32.0254i −0.0895037 1.19434i −0.843376 0.537323i \(-0.819435\pi\)
0.753873 0.657021i \(-0.228184\pi\)
\(720\) −0.163709 0.189010i −0.00610108 0.00704399i
\(721\) −27.3068 5.93371i −1.01696 0.220983i
\(722\) 2.53012 + 16.7863i 0.0941614 + 0.624720i
\(723\) 9.25990 12.1077i 0.344379 0.450290i
\(724\) 6.69044 5.33545i 0.248648 0.198290i
\(725\) 8.76518 18.2011i 0.325531 0.675971i
\(726\) −13.4920 22.3106i −0.500735 0.828022i
\(727\) 17.4327 + 1.30640i 0.646542 + 0.0484516i 0.393965 0.919125i \(-0.371103\pi\)
0.252576 + 0.967577i \(0.418722\pi\)
\(728\) −0.104598 + 1.62265i −0.00387665 + 0.0601395i
\(729\) 22.7230 14.5831i 0.841591 0.540116i
\(730\) −0.554290 0.377909i −0.0205152 0.0139870i
\(731\) 57.4057 17.7073i 2.12323 0.654929i
\(732\) 19.9786 14.2236i 0.738431 0.525719i
\(733\) 3.13153 + 20.7764i 0.115666 + 0.767392i 0.969186 + 0.246332i \(0.0792253\pi\)
−0.853520 + 0.521060i \(0.825537\pi\)
\(734\) 0.705995 + 1.22282i 0.0260587 + 0.0451350i
\(735\) 0.925393 0.251683i 0.0341337 0.00928348i
\(736\) −20.5969 + 35.6749i −0.759213 + 1.31500i
\(737\) −48.8181 19.1597i −1.79824 0.705757i
\(738\) −1.76674 + 6.67878i −0.0650347 + 0.245849i
\(739\) −28.0191 25.9979i −1.03070 0.956348i −0.0316292 0.999500i \(-0.510070\pi\)
−0.999069 + 0.0431519i \(0.986260\pi\)
\(740\) 0.124701 0.0600528i 0.00458410 0.00220759i
\(741\) −0.359701 0.372221i −0.0132139 0.0136739i
\(742\) −1.96185 + 9.02839i −0.0720218 + 0.331443i
\(743\) −3.80843 + 5.58594i −0.139718 + 0.204928i −0.889720 0.456507i \(-0.849100\pi\)
0.750002 + 0.661436i \(0.230053\pi\)
\(744\) 32.3126 + 17.7913i 1.18464 + 0.652260i
\(745\) 0.741387 0.0555593i 0.0271623 0.00203554i
\(746\) −0.111254 0.738121i −0.00407329 0.0270245i
\(747\) 31.4763 1.27838i 1.15166 0.0467736i
\(748\) 26.8286 21.3951i 0.980951 0.782282i
\(749\) 5.77192 19.4291i 0.210901 0.709925i
\(750\) 0.664811 1.20743i 0.0242755 0.0440892i
\(751\) −23.3792 + 15.9397i −0.853120 + 0.581647i −0.909003 0.416790i \(-0.863155\pi\)
0.0558831 + 0.998437i \(0.482203\pi\)
\(752\) −0.458352 2.00817i −0.0167144 0.0732305i
\(753\) −5.06511 29.5257i −0.184583 1.07598i
\(754\) 0.832480i 0.0303171i
\(755\) 0.354696 + 1.55402i 0.0129087 + 0.0565567i
\(756\) −1.06063 + 13.5208i −0.0385747 + 0.491746i
\(757\) 3.21154 14.0707i 0.116725 0.511407i −0.882435 0.470435i \(-0.844097\pi\)
0.999160 0.0409728i \(-0.0130457\pi\)
\(758\) −3.65404 0.834010i −0.132721 0.0302926i
\(759\) −64.2949 35.4007i −2.33376 1.28496i
\(760\) −0.216778 + 0.271831i −0.00786337 + 0.00986036i
\(761\) 12.1538 + 11.2771i 0.440576 + 0.408794i 0.869022 0.494773i \(-0.164749\pi\)
−0.428447 + 0.903567i \(0.640939\pi\)
\(762\) −0.341446 + 6.25840i −0.0123693 + 0.226718i
\(763\) −23.8534 + 0.248749i −0.863550 + 0.00900533i
\(764\) 16.3221 3.72542i 0.590514 0.134781i
\(765\) 1.23145 + 1.05293i 0.0445233 + 0.0380687i
\(766\) 19.8248 + 11.4459i 0.716300 + 0.413556i
\(767\) −1.50814 1.62539i −0.0544559 0.0586895i
\(768\) −8.09129 + 28.2549i −0.291969 + 1.01956i
\(769\) 6.83439 45.3432i 0.246454 1.63512i −0.432995 0.901396i \(-0.642543\pi\)
0.679450 0.733722i \(-0.262219\pi\)
\(770\) 0.0913625 + 1.06938i 0.00329248 + 0.0385379i
\(771\) 3.28583 + 9.93209i 0.118336 + 0.357696i
\(772\) 3.78837 + 16.5979i 0.136346 + 0.597373i
\(773\) −6.02851 + 0.908652i −0.216830 + 0.0326819i −0.256559 0.966529i \(-0.582589\pi\)
0.0397285 + 0.999211i \(0.487351\pi\)
\(774\) −21.4304 15.7109i −0.770298 0.564717i
\(775\) −5.27196 + 34.9772i −0.189374 + 1.25642i
\(776\) −0.315682 + 4.21249i −0.0113323 + 0.151219i
\(777\) 7.65413 + 2.73579i 0.274590 + 0.0981458i
\(778\) −1.12499 15.0119i −0.0403328 0.538204i
\(779\) 3.33493 + 0.249919i 0.119486 + 0.00895426i
\(780\) −0.00150503 + 0.0275858i −5.38885e−5 + 0.000987730i
\(781\) 0.216152 + 0.147370i 0.00773452 + 0.00527331i
\(782\) −20.8892 + 53.2248i −0.746996 + 1.90332i
\(783\) 0.292430 21.0185i 0.0104506 0.751139i
\(784\) 5.51070 + 4.90334i 0.196811 + 0.175119i
\(785\) 0.341773 + 0.197323i 0.0121984 + 0.00704275i
\(786\) −11.1989 + 3.70493i −0.399452 + 0.132150i
\(787\) −10.6293 22.0720i −0.378894 0.786781i −0.999995 0.00305074i \(-0.999029\pi\)
0.621102 0.783730i \(-0.286685\pi\)
\(788\) 0.553317 + 0.126291i 0.0197111 + 0.00449893i
\(789\) 33.4341 + 15.2730i 1.19029 + 0.543735i
\(790\) −0.0838200 0.122941i −0.00298218 0.00437406i
\(791\) 11.4483 38.5366i 0.407053 1.37020i
\(792\) −44.4221 11.7510i −1.57847 0.417554i
\(793\) 2.90111 + 0.437272i 0.103021 + 0.0155280i
\(794\) −1.06655 14.2321i −0.0378503 0.505078i
\(795\) −0.0963222 + 0.465357i −0.00341620 + 0.0165045i
\(796\) −3.37769 + 10.9502i −0.119719 + 0.388120i
\(797\) −17.8630 + 45.5142i −0.632740 + 1.61220i 0.149174 + 0.988811i \(0.452338\pi\)
−0.781915 + 0.623385i \(0.785757\pi\)
\(798\) −6.70726 + 0.710413i −0.237434 + 0.0251484i
\(799\) 4.87612 + 12.4241i 0.172505 + 0.439535i
\(800\) −24.6615 + 1.84812i −0.871915 + 0.0653410i
\(801\) −15.3686 + 29.3049i −0.543023 + 1.03544i
\(802\) −1.00902 + 1.74767i −0.0356297 + 0.0617124i
\(803\) −42.9190 −1.51458
\(804\) −16.2402 + 6.75728i −0.572746 + 0.238311i
\(805\) 0.995544 + 1.42797i 0.0350883 + 0.0503294i
\(806\) 0.429646 + 1.39288i 0.0151336 + 0.0490620i
\(807\) −13.7956 + 21.1440i −0.485629 + 0.744305i
\(808\) −0.587776 + 3.89964i −0.0206779 + 0.137189i
\(809\) 33.0772 12.9819i 1.16293 0.456418i 0.296169 0.955136i \(-0.404291\pi\)
0.866764 + 0.498718i \(0.166196\pi\)
\(810\) 0.0489930 0.714987i 0.00172144 0.0251221i
\(811\) −23.2386 5.30407i −0.816019 0.186251i −0.205913 0.978570i \(-0.566016\pi\)
−0.610107 + 0.792319i \(0.708873\pi\)
\(812\) 8.32338 + 6.49684i 0.292093 + 0.227995i
\(813\) 28.8679 37.7459i 1.01244 1.32381i
\(814\) −4.54845 + 7.87815i −0.159423 + 0.276129i
\(815\) −0.0426426 −0.00149371
\(816\) −1.60692 + 12.3582i −0.0562536 + 0.432622i
\(817\) −5.58114 + 11.5894i −0.195259 + 0.405460i
\(818\) 9.64162 12.0902i 0.337111 0.422724i
\(819\) −1.21525 + 1.07496i −0.0424643 + 0.0375622i
\(820\) −0.111288 0.139551i −0.00388636 0.00487334i
\(821\) 19.2079 4.38408i 0.670360 0.153005i 0.126223 0.992002i \(-0.459714\pi\)
0.544137 + 0.838996i \(0.316857\pi\)
\(822\) 31.9027 + 6.60340i 1.11273 + 0.230320i
\(823\) −28.0695 13.5175i −0.978441 0.471192i −0.124872 0.992173i \(-0.539852\pi\)
−0.853568 + 0.520981i \(0.825566\pi\)
\(824\) −11.6014 29.5600i −0.404156 1.02977i
\(825\) −4.18393 43.8643i −0.145666 1.52716i
\(826\) −28.7871 + 2.45942i −1.00163 + 0.0855742i
\(827\) −18.7289 + 38.8909i −0.651267 + 1.35237i 0.269782 + 0.962921i \(0.413048\pi\)
−0.921049 + 0.389448i \(0.872666\pi\)
\(828\) −23.7584 + 6.44740i −0.825663 + 0.224063i
\(829\) 29.6022 31.9036i 1.02813 1.10806i 0.0340472 0.999420i \(-0.489160\pi\)
0.994081 0.108639i \(-0.0346492\pi\)
\(830\) 0.471030 0.690875i 0.0163497 0.0239806i
\(831\) −20.6892 4.28237i −0.717701 0.148554i
\(832\) −1.25566 + 0.724956i −0.0435322 + 0.0251333i
\(833\) −40.0436 26.0949i −1.38743 0.904134i
\(834\) 22.5617 18.7539i 0.781247 0.649394i
\(835\) −0.549191 0.688664i −0.0190055 0.0238322i
\(836\) −0.549084 + 7.32702i −0.0189905 + 0.253410i
\(837\) 10.3584 + 35.3183i 0.358039 + 1.22078i
\(838\) −0.710558 + 1.04220i −0.0245458 + 0.0360021i
\(839\) 16.3180 11.1254i 0.563361 0.384093i −0.247893 0.968788i \(-0.579738\pi\)
0.811254 + 0.584694i \(0.198786\pi\)
\(840\) 0.821274 + 0.716362i 0.0283366 + 0.0247168i
\(841\) 10.4393 + 7.11741i 0.359977 + 0.245428i
\(842\) 7.64031 2.99860i 0.263302 0.103339i
\(843\) −9.00129 + 8.69852i −0.310021 + 0.299593i
\(844\) 2.44146 6.22073i 0.0840384 0.214126i
\(845\) 0.751353 0.697153i 0.0258473 0.0239828i
\(846\) 3.12492 5.00870i 0.107437 0.172203i
\(847\) 24.9871 + 30.6712i 0.858568 + 1.05388i
\(848\) −3.40255 + 1.33540i −0.116844 + 0.0458580i
\(849\) −47.6624 13.6490i −1.63577 0.468431i
\(850\) −33.4656 + 7.63830i −1.14786 + 0.261992i
\(851\) 14.7542i 0.505769i
\(852\) 0.0864824 0.0148360i 0.00296284 0.000508273i
\(853\) 4.79338 15.5398i 0.164122 0.532072i −0.835732 0.549137i \(-0.814956\pi\)
0.999854 + 0.0170660i \(0.00543253\pi\)
\(854\) 27.7514 26.2933i 0.949633 0.899740i
\(855\) −0.344617 + 0.0399433i −0.0117856 + 0.00136603i
\(856\) 22.0093 6.78898i 0.752264 0.232043i
\(857\) 46.2531 + 6.97153i 1.57998 + 0.238143i 0.879629 0.475660i \(-0.157791\pi\)
0.700347 + 0.713803i \(0.253029\pi\)
\(858\) −0.939619 1.55377i −0.0320781 0.0530447i
\(859\) −3.32551 + 3.58405i −0.113465 + 0.122286i −0.787230 0.616660i \(-0.788486\pi\)
0.673765 + 0.738946i \(0.264676\pi\)
\(860\) 0.656041 0.202362i 0.0223708 0.00690049i
\(861\) 1.24318 10.4085i 0.0423674 0.354720i
\(862\) 12.5096 + 3.85869i 0.426077 + 0.131427i
\(863\) −31.5456 + 18.2129i −1.07382 + 0.619973i −0.929224 0.369517i \(-0.879523\pi\)
−0.144601 + 0.989490i \(0.546190\pi\)
\(864\) −22.4623 + 12.5552i −0.764183 + 0.427138i
\(865\) −0.0503740 0.0155383i −0.00171277 0.000528319i
\(866\) 8.49894 + 4.09287i 0.288806 + 0.139082i
\(867\) −1.04121 51.2945i −0.0353614 1.74205i
\(868\) −17.2794 6.57457i −0.586502 0.223156i
\(869\) −8.86138 3.47784i −0.300602 0.117977i
\(870\) −0.443192 0.338951i −0.0150256 0.0114915i
\(871\) −1.95882 0.768778i −0.0663719 0.0260491i
\(872\) −15.2705 22.3977i −0.517124 0.758482i
\(873\) −3.18609 + 2.75961i −0.107833 + 0.0933985i
\(874\) −5.31196 11.0304i −0.179680 0.373109i
\(875\) −0.743739 + 1.95471i −0.0251430 + 0.0660812i
\(876\) −10.3517 + 10.0035i −0.349750 + 0.337986i
\(877\) 1.99222 26.5843i 0.0672723 0.897687i −0.856844 0.515576i \(-0.827578\pi\)
0.924116 0.382111i \(-0.124803\pi\)
\(878\) −6.99172 + 30.6327i −0.235959 + 1.03381i
\(879\) 6.22040 13.6170i 0.209809 0.459291i
\(880\) −0.331980 + 0.264745i −0.0111910 + 0.00892455i
\(881\) −39.4451 −1.32894 −0.664469 0.747316i \(-0.731342\pi\)
−0.664469 + 0.747316i \(0.731342\pi\)
\(882\) 1.29825 + 21.1012i 0.0437145 + 0.710516i
\(883\) 25.4687 0.857091 0.428546 0.903520i \(-0.359026\pi\)
0.428546 + 0.903520i \(0.359026\pi\)
\(884\) 1.07649 0.858473i 0.0362063 0.0288736i
\(885\) −1.47937 + 0.141108i −0.0497286 + 0.00474328i
\(886\) 1.10809 4.85484i 0.0372268 0.163101i
\(887\) −1.00572 + 13.4204i −0.0337688 + 0.450613i 0.954533 + 0.298104i \(0.0963544\pi\)
−0.988302 + 0.152509i \(0.951265\pi\)
\(888\) 2.23774 + 8.96177i 0.0750938 + 0.300737i
\(889\) −0.809549 9.47565i −0.0271514 0.317803i
\(890\) 0.381089 + 0.791338i 0.0127741 + 0.0265257i
\(891\) −23.1777 39.5596i −0.776483 1.32530i
\(892\) −8.30208 12.1769i −0.277974 0.407713i
\(893\) −2.66026 1.04408i −0.0890223 0.0349387i
\(894\) −2.11333 + 16.2527i −0.0706803 + 0.543573i
\(895\) −1.81437 0.712089i −0.0606478 0.0238025i
\(896\) 1.01440 7.24173i 0.0338888 0.241929i
\(897\) −2.57982 1.42044i −0.0861376 0.0474273i
\(898\) 13.3168 + 6.41303i 0.444387 + 0.214005i
\(899\) 27.3818 + 8.44615i 0.913233 + 0.281695i
\(900\) −11.2329 9.60447i −0.374431 0.320149i
\(901\) 20.5113 11.8422i 0.683329 0.394520i
\(902\) 11.2103 + 3.45792i 0.373263 + 0.115136i
\(903\) 35.5201 + 19.0774i 1.18204 + 0.634856i
\(904\) 43.6542 13.4655i 1.45192 0.447857i
\(905\) 0.466682 0.502964i 0.0155130 0.0167191i
\(906\) −35.1319 + 0.713131i −1.16718 + 0.0236922i
\(907\) 15.3343 + 2.31127i 0.509167 + 0.0767445i 0.398601 0.917124i \(-0.369496\pi\)
0.110565 + 0.993869i \(0.464734\pi\)
\(908\) 12.6871 3.91346i 0.421037 0.129873i
\(909\) −3.15866 + 2.34681i −0.104766 + 0.0778387i
\(910\) 0.00366590 + 0.0429088i 0.000121523 + 0.00142241i
\(911\) 1.83868 5.96086i 0.0609182 0.197492i −0.919998 0.391923i \(-0.871810\pi\)
0.980916 + 0.194431i \(0.0622861\pi\)
\(912\) −1.70573 2.05206i −0.0564822 0.0679503i
\(913\) 53.4949i 1.77042i
\(914\) 29.0670 6.63435i 0.961450 0.219445i
\(915\) 1.41400 1.36644i 0.0467455 0.0451732i
\(916\) 23.1032 9.06733i 0.763351 0.299593i
\(917\) 16.0438 7.93346i 0.529815 0.261986i
\(918\) −28.2322 + 21.8789i −0.931802 + 0.722111i
\(919\) −37.0176 + 34.3473i −1.22110 + 1.13301i −0.234111 + 0.972210i \(0.575218\pi\)
−0.986987 + 0.160803i \(0.948592\pi\)
\(920\) −0.722702 + 1.84142i −0.0238268 + 0.0607097i
\(921\) −41.3452 11.8399i −1.36237 0.390139i
\(922\) −23.5125 + 9.22799i −0.774344 + 0.303908i
\(923\) 0.00867304 + 0.00591318i 0.000285477 + 0.000194635i
\(924\) 22.8680 + 2.73133i 0.752302 + 0.0898542i
\(925\) −7.31855 + 4.98970i −0.240632 + 0.164060i
\(926\) 13.5974 19.9437i 0.446839 0.655392i
\(927\) 12.5780 29.0821i 0.413117 0.955181i
\(928\) −1.49715 + 19.9781i −0.0491464 + 0.655813i
\(929\) −1.50060 1.88169i −0.0492331 0.0617363i 0.756605 0.653872i \(-0.226856\pi\)
−0.805838 + 0.592135i \(0.798285\pi\)
\(930\) 0.916468 + 0.338388i 0.0300522 + 0.0110962i
\(931\) 9.92779 2.48487i 0.325370 0.0814382i
\(932\) −2.41977 + 1.39705i −0.0792622 + 0.0457620i
\(933\) 16.3780 18.3860i 0.536193 0.601931i
\(934\) 6.52007 9.56318i 0.213343 0.312917i
\(935\) 1.87139 2.01688i 0.0612011 0.0659591i
\(936\) −1.78242 0.471507i −0.0582604 0.0154117i
\(937\) −4.33804 + 9.00804i −0.141718 + 0.294280i −0.959732 0.280919i \(-0.909361\pi\)
0.818014 + 0.575198i \(0.195075\pi\)
\(938\) −23.6016 + 13.9565i −0.770620 + 0.455697i
\(939\) −1.93011 + 1.37412i −0.0629868 + 0.0448428i
\(940\) 0.0557250 + 0.141985i 0.00181755 + 0.00463104i
\(941\) −4.95465 2.38603i −0.161517 0.0777824i 0.351379 0.936233i \(-0.385713\pi\)
−0.512896 + 0.858451i \(0.671427\pi\)
\(942\) −5.78677 + 6.49623i −0.188543 + 0.211659i
\(943\) 18.5503 4.23398i 0.604080 0.137877i
\(944\) −7.12677 8.93668i −0.231956 0.290864i
\(945\) 0.0774839 + 1.08465i 0.00252055 + 0.0352837i
\(946\) −28.1339 + 35.2788i −0.914712 + 1.14701i
\(947\) −5.72435 + 11.8867i −0.186016 + 0.386267i −0.973033 0.230664i \(-0.925910\pi\)
0.787017 + 0.616931i \(0.211624\pi\)
\(948\) −2.94789 + 1.22657i −0.0957429 + 0.0398371i
\(949\) −1.72212 −0.0559022
\(950\) 3.67497 6.36524i 0.119232 0.206516i
\(951\) −7.70448 18.5166i −0.249835 0.600443i
\(952\) −0.566372 54.3112i −0.0183562 1.76024i
\(953\) −12.0323 2.74630i −0.389765 0.0889613i 0.0231473 0.999732i \(-0.492631\pi\)
−0.412912 + 0.910771i \(0.635488\pi\)
\(954\) −9.61535 4.15865i −0.311309 0.134641i
\(955\) 1.24956 0.490415i 0.0404347 0.0158695i
\(956\) −0.0195133 + 0.129462i −0.000631104 + 0.00418710i
\(957\) −35.6425 1.94458i −1.15216 0.0628593i
\(958\) 3.76140 + 12.1941i 0.121525 + 0.393975i
\(959\) −49.3305 3.17990i −1.59297 0.102684i
\(960\) −0.125303 + 0.963656i −0.00404415 + 0.0311019i
\(961\) −19.1733 −0.618493
\(962\) −0.182505 + 0.316109i −0.00588421 + 0.0101918i
\(963\) 20.3531 + 10.6739i 0.655868 + 0.343963i
\(964\) −8.65746 + 0.648787i −0.278838 + 0.0208960i
\(965\) 0.498702 + 1.27067i 0.0160538 + 0.0409043i
\(966\) −35.2742 + 15.1105i −1.13493 + 0.486172i
\(967\) −10.9439 + 27.8846i −0.351932 + 0.896707i 0.639819 + 0.768526i \(0.279009\pi\)
−0.991751 + 0.128182i \(0.959086\pi\)
\(968\) −13.2512 + 42.9592i −0.425909 + 1.38076i
\(969\) 12.9107 + 11.5007i 0.414751 + 0.369455i
\(970\) 0.00836083 + 0.111568i 0.000268450 + 0.00358222i
\(971\) −33.2850 5.01691i −1.06817 0.161000i −0.408651 0.912691i \(-0.634001\pi\)
−0.659516 + 0.751690i \(0.729239\pi\)
\(972\) −14.8107 4.13919i −0.475053 0.132764i
\(973\) −29.9366 + 32.9464i −0.959722 + 1.05621i
\(974\) 14.6475 + 21.4840i 0.469337 + 0.688391i
\(975\) −0.167879 1.76005i −0.00537644 0.0563666i
\(976\) 14.7453 + 3.36552i 0.471986 + 0.107728i
\(977\) −23.5880 48.9811i −0.754648 1.56704i −0.822115 0.569321i \(-0.807206\pi\)
0.0674670 0.997722i \(-0.478508\pi\)
\(978\) 0.190538 0.920534i 0.00609272 0.0294354i
\(979\) 48.6633 + 28.0958i 1.55529 + 0.897944i
\(980\) −0.457624 0.298216i −0.0146183 0.00952617i
\(981\) 4.94380 26.5930i 0.157843 0.849049i
\(982\) 14.6275 37.2702i 0.466781 1.18934i
\(983\) −1.42732 0.973127i −0.0455243 0.0310379i 0.540344 0.841444i \(-0.318294\pi\)
−0.585868 + 0.810406i \(0.699246\pi\)
\(984\) 10.6253 5.38521i 0.338723 0.171674i
\(985\) 0.0453781 + 0.00340062i 0.00144587 + 0.000108353i
\(986\) 2.07805 + 27.7297i 0.0661787 + 0.883093i
\(987\) −3.63683 + 8.18616i −0.115762 + 0.260568i
\(988\) −0.0220319 + 0.293995i −0.000700927 + 0.00935322i
\(989\) −10.9077 + 72.3679i −0.346845 + 2.30117i
\(990\) −1.20976 0.132398i −0.0384488 0.00420790i
\(991\) −14.1081 + 2.12646i −0.448160 + 0.0675492i −0.369245 0.929332i \(-0.620384\pi\)
−0.0789150 + 0.996881i \(0.525146\pi\)
\(992\) −7.80578 34.1993i −0.247834 1.08583i
\(993\) −17.0327 + 19.1209i −0.540516 + 0.606784i
\(994\) 0.130275 0.0416771i 0.00413207 0.00132192i
\(995\) −0.136940 + 0.908535i −0.00434128 + 0.0288025i
\(996\) −12.4685 12.9024i −0.395078 0.408830i
\(997\) 2.70428 + 2.91452i 0.0856454 + 0.0923038i 0.774420 0.632671i \(-0.218042\pi\)
−0.688775 + 0.724975i \(0.741851\pi\)
\(998\) −4.31135 2.48916i −0.136473 0.0787929i
\(999\) −4.71894 + 7.91701i −0.149301 + 0.250483i
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.bn.a.101.36 yes 648
9.5 odd 6 441.2.bd.a.248.19 648
49.33 odd 42 441.2.bd.a.425.19 yes 648
441.131 even 42 inner 441.2.bn.a.131.36 yes 648
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
441.2.bd.a.248.19 648 9.5 odd 6
441.2.bd.a.425.19 yes 648 49.33 odd 42
441.2.bn.a.101.36 yes 648 1.1 even 1 trivial
441.2.bn.a.131.36 yes 648 441.131 even 42 inner