Properties

Label 322.2.o.b.103.4
Level $322$
Weight $2$
Character 322.103
Analytic conductor $2.571$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [322,2,Mod(5,322)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(322, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([55, 3]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("322.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 322 = 2 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 322.o (of order \(66\), degree \(20\), 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: \(2.57118294509\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(8\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 103.4
Character \(\chi\) \(=\) 322.103
Dual form 322.2.o.b.297.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.0475819 + 0.998867i) q^{2} +(0.120021 + 0.299798i) q^{3} +(-0.995472 + 0.0950560i) q^{4} +(0.949998 - 3.91595i) q^{5} +(-0.293747 + 0.134150i) q^{6} +(-2.64217 + 0.137541i) q^{7} +(-0.142315 - 0.989821i) q^{8} +(2.09573 - 1.99827i) q^{9} +O(q^{10})\) \(q+(0.0475819 + 0.998867i) q^{2} +(0.120021 + 0.299798i) q^{3} +(-0.995472 + 0.0950560i) q^{4} +(0.949998 - 3.91595i) q^{5} +(-0.293747 + 0.134150i) q^{6} +(-2.64217 + 0.137541i) q^{7} +(-0.142315 - 0.989821i) q^{8} +(2.09573 - 1.99827i) q^{9} +(3.95671 + 0.762594i) q^{10} +(0.0877473 + 0.00417992i) q^{11} +(-0.147975 - 0.287032i) q^{12} +(-3.55909 - 3.08397i) q^{13} +(-0.263105 - 2.63264i) q^{14} +(1.28801 - 0.185188i) q^{15} +(0.981929 - 0.189251i) q^{16} +(2.94664 - 4.13797i) q^{17} +(2.09573 + 1.99827i) q^{18} +(0.479037 + 0.672713i) q^{19} +(-0.573462 + 3.98852i) q^{20} +(-0.358351 - 0.775610i) q^{21} +0.0878468i q^{22} +(3.49838 + 3.28045i) q^{23} +(0.279666 - 0.161465i) q^{24} +(-9.98796 - 5.14915i) q^{25} +(2.91113 - 3.70180i) q^{26} +(1.73185 + 0.790910i) q^{27} +(2.61714 - 0.388073i) q^{28} +(3.27431 + 7.16974i) q^{29} +(0.246264 + 1.27774i) q^{30} +(0.664348 + 0.844787i) q^{31} +(0.235759 + 0.971812i) q^{32} +(0.00927838 + 0.0268081i) q^{33} +(4.27349 + 2.74641i) q^{34} +(-1.97146 + 10.4773i) q^{35} +(-1.89629 + 2.18844i) q^{36} +(1.33323 + 1.39826i) q^{37} +(-0.649158 + 0.510503i) q^{38} +(0.497402 - 1.43715i) q^{39} +(-4.01129 - 0.383031i) q^{40} +(1.13979 + 3.88178i) q^{41} +(0.757680 - 0.394850i) q^{42} +(5.46811 + 0.786196i) q^{43} +(-0.0877473 + 0.00417992i) q^{44} +(-5.83419 - 10.1051i) q^{45} +(-3.11027 + 3.65051i) q^{46} +(-9.98347 - 5.76396i) q^{47} +(0.174589 + 0.271666i) q^{48} +(6.96216 - 0.726817i) q^{49} +(4.66807 - 10.2217i) q^{50} +(1.59421 + 0.386752i) q^{51} +(3.83612 + 2.73169i) q^{52} +(-7.51905 - 2.60237i) q^{53} +(-0.707609 + 1.76752i) q^{54} +(0.0997281 - 0.339643i) q^{55} +(0.512162 + 2.59571i) q^{56} +(-0.144183 + 0.224354i) q^{57} +(-7.00582 + 3.61175i) q^{58} +(2.00502 - 10.4030i) q^{59} +(-1.26458 + 0.306783i) q^{60} +(7.80744 + 3.12563i) q^{61} +(-0.812219 + 0.703792i) q^{62} +(-5.26243 + 5.56803i) q^{63} +(-0.959493 + 0.281733i) q^{64} +(-15.4578 + 11.0074i) q^{65} +(-0.0263363 + 0.0105435i) q^{66} +(3.35574 - 6.50922i) q^{67} +(-2.53995 + 4.39933i) q^{68} +(-0.563593 + 1.44253i) q^{69} +(-10.5592 - 1.47069i) q^{70} +(-10.3284 + 6.63765i) q^{71} +(-2.27619 - 1.79001i) q^{72} +(0.354758 + 3.71519i) q^{73} +(-1.33323 + 1.39826i) q^{74} +(0.344940 - 3.61237i) q^{75} +(-0.540813 - 0.624132i) q^{76} +(-0.232418 + 0.00102482i) q^{77} +(1.45919 + 0.428456i) q^{78} +(-4.11632 + 1.42467i) q^{79} +(0.191733 - 4.02497i) q^{80} +(0.384097 - 8.06318i) q^{81} +(-3.82315 + 1.32320i) q^{82} +(6.40478 + 1.88061i) q^{83} +(0.430455 + 0.738035i) q^{84} +(-13.4048 - 15.4699i) q^{85} +(-0.525122 + 5.49933i) q^{86} +(-1.75649 + 1.84215i) q^{87} +(-0.00835037 - 0.0874490i) q^{88} +(13.4236 + 10.5564i) q^{89} +(9.81607 - 6.30840i) q^{90} +(9.82791 + 7.65886i) q^{91} +(-3.79436 - 2.93305i) q^{92} +(-0.173530 + 0.300562i) q^{93} +(5.28240 - 10.2464i) q^{94} +(3.08939 - 1.23681i) q^{95} +(-0.263051 + 0.187318i) q^{96} +(3.30745 - 0.971154i) q^{97} +(1.05727 + 6.91970i) q^{98} +(0.192247 - 0.166583i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160 q + 8 q^{2} - 6 q^{3} + 8 q^{4} + 11 q^{7} - 16 q^{8} + 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 160 q + 8 q^{2} - 6 q^{3} + 8 q^{4} + 11 q^{7} - 16 q^{8} + 12 q^{9} - 27 q^{12} - 11 q^{14} + 8 q^{16} + 66 q^{17} + 12 q^{18} - 66 q^{21} - 18 q^{23} - 6 q^{24} - 2 q^{25} + 6 q^{26} - 22 q^{28} - 16 q^{29} - 22 q^{30} + 24 q^{31} + 8 q^{32} + 73 q^{35} + 20 q^{36} + 22 q^{37} - 33 q^{38} + 22 q^{42} - 110 q^{43} + 4 q^{46} - 162 q^{47} + 25 q^{49} + 4 q^{50} - 11 q^{51} + 60 q^{52} + 22 q^{53} - 54 q^{54} - 11 q^{56} - 44 q^{57} - 14 q^{58} - 36 q^{59} - 121 q^{63} - 16 q^{64} - 77 q^{65} + 32 q^{70} + 144 q^{71} - 32 q^{72} - 108 q^{73} - 22 q^{74} + 96 q^{75} - 17 q^{77} - 22 q^{78} - 44 q^{79} + 14 q^{81} - 27 q^{82} + 11 q^{84} - 2 q^{85} - 66 q^{86} - 108 q^{87} + 11 q^{88} + 198 q^{89} - 8 q^{92} - 50 q^{93} + 30 q^{94} - 28 q^{95} + 6 q^{96} - 45 q^{98} - 220 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).

\(n\) \(185\) \(281\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{9}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0475819 + 0.998867i 0.0336455 + 0.706306i
\(3\) 0.120021 + 0.299798i 0.0692941 + 0.173088i 0.958972 0.283500i \(-0.0914955\pi\)
−0.889678 + 0.456588i \(0.849071\pi\)
\(4\) −0.995472 + 0.0950560i −0.497736 + 0.0475280i
\(5\) 0.949998 3.91595i 0.424852 1.75126i −0.209102 0.977894i \(-0.567054\pi\)
0.633954 0.773371i \(-0.281431\pi\)
\(6\) −0.293747 + 0.134150i −0.119922 + 0.0547665i
\(7\) −2.64217 + 0.137541i −0.998648 + 0.0519858i
\(8\) −0.142315 0.989821i −0.0503159 0.349955i
\(9\) 2.09573 1.99827i 0.698576 0.666091i
\(10\) 3.95671 + 0.762594i 1.25122 + 0.241153i
\(11\) 0.0877473 + 0.00417992i 0.0264568 + 0.00126029i 0.0608061 0.998150i \(-0.480633\pi\)
−0.0343493 + 0.999410i \(0.510936\pi\)
\(12\) −0.147975 0.287032i −0.0427167 0.0828589i
\(13\) −3.55909 3.08397i −0.987114 0.855339i 0.00236768 0.999997i \(-0.499246\pi\)
−0.989482 + 0.144658i \(0.953792\pi\)
\(14\) −0.263105 2.63264i −0.0703179 0.703602i
\(15\) 1.28801 0.185188i 0.332563 0.0478154i
\(16\) 0.981929 0.189251i 0.245482 0.0473128i
\(17\) 2.94664 4.13797i 0.714664 1.00361i −0.284328 0.958727i \(-0.591771\pi\)
0.998992 0.0448786i \(-0.0142901\pi\)
\(18\) 2.09573 + 1.99827i 0.493968 + 0.470997i
\(19\) 0.479037 + 0.672713i 0.109899 + 0.154331i 0.865862 0.500283i \(-0.166771\pi\)
−0.755963 + 0.654614i \(0.772831\pi\)
\(20\) −0.573462 + 3.98852i −0.128230 + 0.891860i
\(21\) −0.358351 0.775610i −0.0781985 0.169252i
\(22\) 0.0878468i 0.0187290i
\(23\) 3.49838 + 3.28045i 0.729462 + 0.684021i
\(24\) 0.279666 0.161465i 0.0570865 0.0329589i
\(25\) −9.98796 5.14915i −1.99759 1.02983i
\(26\) 2.91113 3.70180i 0.570919 0.725983i
\(27\) 1.73185 + 0.790910i 0.333295 + 0.152211i
\(28\) 2.61714 0.388073i 0.494592 0.0733389i
\(29\) 3.27431 + 7.16974i 0.608024 + 1.33139i 0.923917 + 0.382592i \(0.124969\pi\)
−0.315893 + 0.948795i \(0.602304\pi\)
\(30\) 0.246264 + 1.27774i 0.0449615 + 0.233283i
\(31\) 0.664348 + 0.844787i 0.119320 + 0.151728i 0.842044 0.539409i \(-0.181352\pi\)
−0.722723 + 0.691137i \(0.757110\pi\)
\(32\) 0.235759 + 0.971812i 0.0416767 + 0.171794i
\(33\) 0.00927838 + 0.0268081i 0.00161516 + 0.00466669i
\(34\) 4.27349 + 2.74641i 0.732898 + 0.471005i
\(35\) −1.97146 + 10.4773i −0.333237 + 1.77098i
\(36\) −1.89629 + 2.18844i −0.316048 + 0.364739i
\(37\) 1.33323 + 1.39826i 0.219182 + 0.229872i 0.824140 0.566385i \(-0.191659\pi\)
−0.604958 + 0.796257i \(0.706810\pi\)
\(38\) −0.649158 + 0.510503i −0.105307 + 0.0828146i
\(39\) 0.497402 1.43715i 0.0796480 0.230128i
\(40\) −4.01129 0.383031i −0.634240 0.0605626i
\(41\) 1.13979 + 3.88178i 0.178006 + 0.606232i 0.999359 + 0.0358115i \(0.0114016\pi\)
−0.821353 + 0.570421i \(0.806780\pi\)
\(42\) 0.757680 0.394850i 0.116913 0.0609267i
\(43\) 5.46811 + 0.786196i 0.833880 + 0.119894i 0.546013 0.837777i \(-0.316145\pi\)
0.287867 + 0.957671i \(0.407054\pi\)
\(44\) −0.0877473 + 0.00417992i −0.0132284 + 0.000630146i
\(45\) −5.83419 10.1051i −0.869710 1.50638i
\(46\) −3.11027 + 3.65051i −0.458585 + 0.538238i
\(47\) −9.98347 5.76396i −1.45624 0.840760i −0.457415 0.889253i \(-0.651225\pi\)
−0.998823 + 0.0484935i \(0.984558\pi\)
\(48\) 0.174589 + 0.271666i 0.0251998 + 0.0392116i
\(49\) 6.96216 0.726817i 0.994595 0.103831i
\(50\) 4.66807 10.2217i 0.660165 1.44556i
\(51\) 1.59421 + 0.386752i 0.223234 + 0.0541561i
\(52\) 3.83612 + 2.73169i 0.531975 + 0.378817i
\(53\) −7.51905 2.60237i −1.03282 0.357463i −0.242497 0.970152i \(-0.577966\pi\)
−0.790324 + 0.612689i \(0.790088\pi\)
\(54\) −0.707609 + 1.76752i −0.0962934 + 0.240529i
\(55\) 0.0997281 0.339643i 0.0134473 0.0457974i
\(56\) 0.512162 + 2.59571i 0.0684405 + 0.346866i
\(57\) −0.144183 + 0.224354i −0.0190976 + 0.0297164i
\(58\) −7.00582 + 3.61175i −0.919909 + 0.474246i
\(59\) 2.00502 10.4030i 0.261032 1.35436i −0.580547 0.814227i \(-0.697161\pi\)
0.841579 0.540134i \(-0.181627\pi\)
\(60\) −1.26458 + 0.306783i −0.163256 + 0.0396055i
\(61\) 7.80744 + 3.12563i 0.999640 + 0.400195i 0.813019 0.582237i \(-0.197822\pi\)
0.186620 + 0.982432i \(0.440247\pi\)
\(62\) −0.812219 + 0.703792i −0.103152 + 0.0893816i
\(63\) −5.26243 + 5.56803i −0.663004 + 0.701506i
\(64\) −0.959493 + 0.281733i −0.119937 + 0.0352166i
\(65\) −15.4578 + 11.0074i −1.91730 + 1.36530i
\(66\) −0.0263363 + 0.0105435i −0.00324177 + 0.00129781i
\(67\) 3.35574 6.50922i 0.409968 0.795228i −0.589957 0.807435i \(-0.700855\pi\)
0.999925 + 0.0122069i \(0.00388567\pi\)
\(68\) −2.53995 + 4.39933i −0.308015 + 0.533497i
\(69\) −0.563593 + 1.44253i −0.0678486 + 0.173660i
\(70\) −10.5592 1.47069i −1.26207 0.175782i
\(71\) −10.3284 + 6.63765i −1.22575 + 0.787744i −0.983224 0.182400i \(-0.941613\pi\)
−0.242529 + 0.970144i \(0.577977\pi\)
\(72\) −2.27619 1.79001i −0.268251 0.210955i
\(73\) 0.354758 + 3.71519i 0.0415213 + 0.434830i 0.992200 + 0.124654i \(0.0397821\pi\)
−0.950679 + 0.310176i \(0.899612\pi\)
\(74\) −1.33323 + 1.39826i −0.154985 + 0.162544i
\(75\) 0.344940 3.61237i 0.0398302 0.417121i
\(76\) −0.540813 0.624132i −0.0620355 0.0715928i
\(77\) −0.232418 + 0.00102482i −0.0264865 + 0.000116789i
\(78\) 1.45919 + 0.428456i 0.165220 + 0.0485131i
\(79\) −4.11632 + 1.42467i −0.463122 + 0.160288i −0.548658 0.836047i \(-0.684861\pi\)
0.0855357 + 0.996335i \(0.472740\pi\)
\(80\) 0.191733 4.02497i 0.0214364 0.450005i
\(81\) 0.384097 8.06318i 0.0426774 0.895909i
\(82\) −3.82315 + 1.32320i −0.422196 + 0.146124i
\(83\) 6.40478 + 1.88061i 0.703016 + 0.206424i 0.613654 0.789575i \(-0.289699\pi\)
0.0893620 + 0.995999i \(0.471517\pi\)
\(84\) 0.430455 + 0.738035i 0.0469664 + 0.0805262i
\(85\) −13.4048 15.4699i −1.45395 1.67795i
\(86\) −0.525122 + 5.49933i −0.0566254 + 0.593008i
\(87\) −1.75649 + 1.84215i −0.188315 + 0.197499i
\(88\) −0.00835037 0.0874490i −0.000890152 0.00932210i
\(89\) 13.4236 + 10.5564i 1.42290 + 1.11898i 0.974303 + 0.225241i \(0.0723170\pi\)
0.448593 + 0.893736i \(0.351925\pi\)
\(90\) 9.81607 6.30840i 1.03470 0.664964i
\(91\) 9.82791 + 7.65886i 1.03024 + 0.802867i
\(92\) −3.79436 2.93305i −0.395590 0.305792i
\(93\) −0.173530 + 0.300562i −0.0179942 + 0.0311668i
\(94\) 5.28240 10.2464i 0.544838 1.05684i
\(95\) 3.08939 1.23681i 0.316965 0.126894i
\(96\) −0.263051 + 0.187318i −0.0268475 + 0.0191180i
\(97\) 3.30745 0.971154i 0.335821 0.0986058i −0.109475 0.993990i \(-0.534917\pi\)
0.445295 + 0.895384i \(0.353099\pi\)
\(98\) 1.05727 + 6.91970i 0.106800 + 0.698995i
\(99\) 0.192247 0.166583i 0.0193216 0.0167422i
\(100\) 10.4322 + 4.17642i 1.04322 + 0.417642i
\(101\) −4.47778 + 1.08630i −0.445556 + 0.108091i −0.452258 0.891887i \(-0.649382\pi\)
0.00670291 + 0.999978i \(0.497866\pi\)
\(102\) −0.310458 + 1.61081i −0.0307399 + 0.159494i
\(103\) 0.167007 0.0860983i 0.0164557 0.00848352i −0.449979 0.893039i \(-0.648569\pi\)
0.466435 + 0.884556i \(0.345538\pi\)
\(104\) −2.54607 + 3.96176i −0.249662 + 0.388482i
\(105\) −3.37768 + 0.666454i −0.329628 + 0.0650393i
\(106\) 2.24165 7.63436i 0.217728 0.741514i
\(107\) 2.20836 5.51622i 0.213490 0.533273i −0.782508 0.622640i \(-0.786060\pi\)
0.995999 + 0.0893668i \(0.0284843\pi\)
\(108\) −1.79919 0.622706i −0.173127 0.0599199i
\(109\) 11.7133 + 8.34102i 1.12193 + 0.798925i 0.981556 0.191173i \(-0.0612293\pi\)
0.140377 + 0.990098i \(0.455169\pi\)
\(110\) 0.344003 + 0.0834543i 0.0327994 + 0.00795705i
\(111\) −0.259178 + 0.567521i −0.0246001 + 0.0538667i
\(112\) −2.56840 + 0.635091i −0.242691 + 0.0600104i
\(113\) 1.09892 + 1.70995i 0.103378 + 0.160859i 0.889089 0.457735i \(-0.151339\pi\)
−0.785711 + 0.618594i \(0.787703\pi\)
\(114\) −0.230960 0.133345i −0.0216314 0.0124889i
\(115\) 16.1695 10.5830i 1.50782 0.986874i
\(116\) −3.94101 6.82603i −0.365914 0.633781i
\(117\) −13.6215 + 0.648872i −1.25931 + 0.0599882i
\(118\) 10.4867 + 1.50775i 0.965376 + 0.138800i
\(119\) −7.21638 + 11.3385i −0.661525 + 1.03940i
\(120\) −0.366606 1.24855i −0.0334664 0.113976i
\(121\) −10.9425 1.04488i −0.994774 0.0949894i
\(122\) −2.75059 + 7.94732i −0.249027 + 0.719516i
\(123\) −1.02695 + 0.807602i −0.0925969 + 0.0728190i
\(124\) −0.741641 0.777811i −0.0666014 0.0698495i
\(125\) −16.4584 + 18.9940i −1.47209 + 1.69888i
\(126\) −5.81212 4.99154i −0.517785 0.444681i
\(127\) 11.0120 + 7.07696i 0.977154 + 0.627979i 0.928694 0.370846i \(-0.120932\pi\)
0.0484599 + 0.998825i \(0.484569\pi\)
\(128\) −0.327068 0.945001i −0.0289090 0.0835271i
\(129\) 0.420588 + 1.73369i 0.0370307 + 0.152643i
\(130\) −11.7305 14.9165i −1.02883 1.30827i
\(131\) 2.10656 + 10.9299i 0.184051 + 0.954946i 0.950048 + 0.312103i \(0.101033\pi\)
−0.765998 + 0.642843i \(0.777755\pi\)
\(132\) −0.0117846 0.0258048i −0.00102572 0.00224602i
\(133\) −1.35822 1.71154i −0.117773 0.148409i
\(134\) 6.66152 + 3.04221i 0.575468 + 0.262807i
\(135\) 4.74242 6.03047i 0.408162 0.519020i
\(136\) −4.51520 2.32775i −0.387175 0.199603i
\(137\) −6.18145 + 3.56886i −0.528117 + 0.304909i −0.740249 0.672332i \(-0.765293\pi\)
0.212132 + 0.977241i \(0.431959\pi\)
\(138\) −1.46771 0.494316i −0.124940 0.0420790i
\(139\) 1.89021i 0.160325i 0.996782 + 0.0801627i \(0.0255440\pi\)
−0.996782 + 0.0801627i \(0.974456\pi\)
\(140\) 0.966601 10.6172i 0.0816927 0.897320i
\(141\) 0.529797 3.68482i 0.0446169 0.310318i
\(142\) −7.12157 10.0009i −0.597629 0.839253i
\(143\) −0.299410 0.285487i −0.0250379 0.0238736i
\(144\) 1.67968 2.35878i 0.139973 0.196565i
\(145\) 31.1869 6.01078i 2.58993 0.499168i
\(146\) −3.69411 + 0.531132i −0.305726 + 0.0439568i
\(147\) 1.05350 + 2.00001i 0.0868915 + 0.164958i
\(148\) −1.46011 1.26519i −0.120020 0.103998i
\(149\) 1.84837 + 3.58533i 0.151424 + 0.293722i 0.952331 0.305067i \(-0.0986790\pi\)
−0.800907 + 0.598789i \(0.795649\pi\)
\(150\) 3.62470 + 0.172666i 0.295955 + 0.0140981i
\(151\) −11.6763 2.25042i −0.950204 0.183137i −0.309478 0.950906i \(-0.600154\pi\)
−0.640726 + 0.767770i \(0.721367\pi\)
\(152\) 0.597692 0.569898i 0.0484792 0.0462248i
\(153\) −2.09345 14.5602i −0.169245 1.17713i
\(154\) −0.0120826 0.232106i −0.000973641 0.0187037i
\(155\) 3.93927 1.79900i 0.316410 0.144499i
\(156\) −0.358540 + 1.47792i −0.0287062 + 0.118328i
\(157\) 14.7556 1.40899i 1.17763 0.112450i 0.512170 0.858884i \(-0.328842\pi\)
0.665459 + 0.746434i \(0.268236\pi\)
\(158\) −1.61892 4.04387i −0.128794 0.321713i
\(159\) −0.122259 2.56653i −0.00969577 0.203539i
\(160\) 4.02953 0.318563
\(161\) −9.69452 8.18634i −0.764035 0.645174i
\(162\) 8.07232 0.634221
\(163\) −0.462650 9.71222i −0.0362376 0.760720i −0.941732 0.336363i \(-0.890803\pi\)
0.905495 0.424357i \(-0.139500\pi\)
\(164\) −1.50362 3.75586i −0.117413 0.293283i
\(165\) 0.113794 0.0108660i 0.00885882 0.000845915i
\(166\) −1.57373 + 6.48701i −0.122145 + 0.503490i
\(167\) 17.3613 7.92865i 1.34346 0.613538i 0.391618 0.920128i \(-0.371915\pi\)
0.951842 + 0.306590i \(0.0991881\pi\)
\(168\) −0.716717 + 0.465084i −0.0552959 + 0.0358820i
\(169\) 1.30616 + 9.08457i 0.100474 + 0.698813i
\(170\) 14.8146 14.1257i 1.13623 1.08339i
\(171\) 2.34820 + 0.452578i 0.179571 + 0.0346095i
\(172\) −5.51809 0.262859i −0.420750 0.0200428i
\(173\) 0.545685 + 1.05848i 0.0414876 + 0.0804748i 0.908668 0.417519i \(-0.137100\pi\)
−0.867180 + 0.497994i \(0.834070\pi\)
\(174\) −1.92364 1.66684i −0.145831 0.126363i
\(175\) 27.0981 + 12.2312i 2.04843 + 0.924591i
\(176\) 0.0869526 0.0125019i 0.00655430 0.000942366i
\(177\) 3.35945 0.647482i 0.252512 0.0486677i
\(178\) −9.90574 + 13.9107i −0.742466 + 1.04265i
\(179\) 18.1181 + 17.2756i 1.35421 + 1.29124i 0.920797 + 0.390043i \(0.127540\pi\)
0.433415 + 0.901195i \(0.357309\pi\)
\(180\) 6.76833 + 9.50478i 0.504481 + 0.708445i
\(181\) 1.12259 7.80780i 0.0834416 0.580349i −0.904612 0.426237i \(-0.859839\pi\)
0.988053 0.154112i \(-0.0492518\pi\)
\(182\) −7.18255 + 10.1812i −0.532406 + 0.754681i
\(183\) 2.71579i 0.200757i
\(184\) 2.74919 3.92963i 0.202673 0.289696i
\(185\) 6.74207 3.89253i 0.495687 0.286185i
\(186\) −0.308478 0.159032i −0.0226187 0.0116608i
\(187\) 0.275856 0.350779i 0.0201726 0.0256515i
\(188\) 10.4862 + 4.78887i 0.764782 + 0.349264i
\(189\) −4.68463 1.85152i −0.340757 0.134678i
\(190\) 1.38240 + 3.02704i 0.100290 + 0.219605i
\(191\) 3.24541 + 16.8388i 0.234829 + 1.21841i 0.887514 + 0.460781i \(0.152431\pi\)
−0.652685 + 0.757630i \(0.726357\pi\)
\(192\) −0.199622 0.253840i −0.0144065 0.0183193i
\(193\) −5.25346 21.6551i −0.378152 1.55877i −0.769576 0.638555i \(-0.779533\pi\)
0.391424 0.920210i \(-0.371983\pi\)
\(194\) 1.12743 + 3.25749i 0.0809447 + 0.233874i
\(195\) −5.15526 3.31309i −0.369176 0.237255i
\(196\) −6.86155 + 1.38532i −0.490111 + 0.0989515i
\(197\) 4.08705 4.71671i 0.291191 0.336052i −0.591239 0.806496i \(-0.701361\pi\)
0.882430 + 0.470445i \(0.155906\pi\)
\(198\) 0.175542 + 0.184103i 0.0124752 + 0.0130836i
\(199\) 1.44245 1.13435i 0.102252 0.0804120i −0.565724 0.824595i \(-0.691403\pi\)
0.667976 + 0.744183i \(0.267161\pi\)
\(200\) −3.67531 + 10.6191i −0.259883 + 0.750884i
\(201\) 2.35421 + 0.224800i 0.166053 + 0.0158561i
\(202\) −1.29813 4.42102i −0.0913360 0.311062i
\(203\) −9.63743 18.4933i −0.676415 1.29798i
\(204\) −1.62376 0.233461i −0.113686 0.0163455i
\(205\) 16.2836 0.775685i 1.13730 0.0541762i
\(206\) 0.0939473 + 0.162722i 0.00654562 + 0.0113373i
\(207\) 13.8869 0.115786i 0.965205 0.00804766i
\(208\) −4.07842 2.35468i −0.282787 0.163267i
\(209\) 0.0392223 + 0.0610311i 0.00271306 + 0.00422161i
\(210\) −0.826416 3.34214i −0.0570281 0.230630i
\(211\) −0.946288 + 2.07208i −0.0651452 + 0.142648i −0.939404 0.342812i \(-0.888621\pi\)
0.874259 + 0.485460i \(0.161348\pi\)
\(212\) 7.73237 + 1.87585i 0.531062 + 0.128834i
\(213\) −3.22957 2.29977i −0.221287 0.157578i
\(214\) 5.61505 + 1.94339i 0.383837 + 0.132847i
\(215\) 8.27340 20.6660i 0.564241 1.40941i
\(216\) 0.536392 1.82678i 0.0364968 0.124297i
\(217\) −1.87151 2.14070i −0.127047 0.145320i
\(218\) −7.77423 + 12.0969i −0.526537 + 0.819308i
\(219\) −1.07123 + 0.552257i −0.0723869 + 0.0373180i
\(220\) −0.0669914 + 0.347585i −0.00451656 + 0.0234341i
\(221\) −23.2487 + 5.64008i −1.56388 + 0.379393i
\(222\) −0.579210 0.231881i −0.0388740 0.0155628i
\(223\) −16.9131 + 14.6553i −1.13258 + 0.981389i −0.999952 0.00977697i \(-0.996888\pi\)
−0.132631 + 0.991166i \(0.542342\pi\)
\(224\) −0.756580 2.53527i −0.0505512 0.169395i
\(225\) −31.2215 + 9.16745i −2.08143 + 0.611163i
\(226\) −1.65573 + 1.17904i −0.110137 + 0.0784284i
\(227\) −13.5027 + 5.40568i −0.896209 + 0.358788i −0.773605 0.633668i \(-0.781549\pi\)
−0.122603 + 0.992456i \(0.539124\pi\)
\(228\) 0.122204 0.237043i 0.00809318 0.0156986i
\(229\) 10.5283 18.2355i 0.695729 1.20504i −0.274205 0.961671i \(-0.588415\pi\)
0.969934 0.243367i \(-0.0782519\pi\)
\(230\) 11.3404 + 15.6476i 0.747766 + 1.03177i
\(231\) −0.0282023 0.0695555i −0.00185558 0.00457642i
\(232\) 6.63078 4.26134i 0.435332 0.279771i
\(233\) −11.1246 8.74845i −0.728794 0.573130i 0.183326 0.983052i \(-0.441313\pi\)
−0.912121 + 0.409922i \(0.865556\pi\)
\(234\) −1.29627 13.5752i −0.0847401 0.887438i
\(235\) −32.0556 + 33.6190i −2.09108 + 2.19306i
\(236\) −1.00707 + 10.5465i −0.0655547 + 0.686520i
\(237\) −0.921158 1.06307i −0.0598356 0.0690540i
\(238\) −11.6691 6.66870i −0.756392 0.432268i
\(239\) 12.1652 + 3.57202i 0.786900 + 0.231055i 0.650407 0.759586i \(-0.274599\pi\)
0.136493 + 0.990641i \(0.456417\pi\)
\(240\) 1.22969 0.425599i 0.0793761 0.0274723i
\(241\) 0.744535 15.6297i 0.0479597 1.00680i −0.838763 0.544497i \(-0.816721\pi\)
0.886723 0.462302i \(-0.152976\pi\)
\(242\) 0.523034 10.9798i 0.0336219 0.705810i
\(243\) 7.86099 2.72072i 0.504283 0.174534i
\(244\) −8.06919 2.36933i −0.516577 0.151681i
\(245\) 3.76787 27.9539i 0.240720 1.78591i
\(246\) −0.855552 0.987359i −0.0545480 0.0629517i
\(247\) 0.369691 3.87158i 0.0235229 0.246343i
\(248\) 0.741641 0.777811i 0.0470943 0.0493911i
\(249\) 0.204904 + 2.14585i 0.0129853 + 0.135988i
\(250\) −19.7557 15.5360i −1.24946 0.982584i
\(251\) 6.17446 3.96809i 0.389729 0.250463i −0.331072 0.943605i \(-0.607410\pi\)
0.720801 + 0.693142i \(0.243774\pi\)
\(252\) 4.70933 6.04305i 0.296660 0.380676i
\(253\) 0.293261 + 0.302473i 0.0184372 + 0.0190163i
\(254\) −6.54498 + 11.3362i −0.410668 + 0.711298i
\(255\) 3.02900 5.87544i 0.189683 0.367934i
\(256\) 0.928368 0.371662i 0.0580230 0.0232289i
\(257\) −7.84072 + 5.58335i −0.489091 + 0.348280i −0.797846 0.602862i \(-0.794027\pi\)
0.308755 + 0.951142i \(0.400088\pi\)
\(258\) −1.71171 + 0.502604i −0.106567 + 0.0312908i
\(259\) −3.71496 3.51106i −0.230836 0.218167i
\(260\) 14.3415 12.4270i 0.889420 0.770687i
\(261\) 21.1892 + 8.48286i 1.31158 + 0.525076i
\(262\) −10.8172 + 2.62423i −0.668291 + 0.162126i
\(263\) −1.67759 + 8.70417i −0.103445 + 0.536722i 0.892823 + 0.450407i \(0.148721\pi\)
−0.996268 + 0.0863148i \(0.972491\pi\)
\(264\) 0.0252148 0.0129991i 0.00155186 0.000800041i
\(265\) −17.3338 + 26.9719i −1.06481 + 1.65687i
\(266\) 1.64497 1.43812i 0.100860 0.0881771i
\(267\) −1.55368 + 5.29135i −0.0950837 + 0.323825i
\(268\) −2.72180 + 6.79873i −0.166260 + 0.415298i
\(269\) −5.51104 1.90739i −0.336014 0.116296i 0.153851 0.988094i \(-0.450833\pi\)
−0.489865 + 0.871799i \(0.662954\pi\)
\(270\) 6.24930 + 4.45010i 0.380320 + 0.270825i
\(271\) −23.6484 5.73705i −1.43654 0.348501i −0.559465 0.828854i \(-0.688993\pi\)
−0.877075 + 0.480353i \(0.840509\pi\)
\(272\) 2.11027 4.62085i 0.127954 0.280180i
\(273\) −1.11655 + 3.86561i −0.0675770 + 0.233957i
\(274\) −3.85895 6.00464i −0.233127 0.362753i
\(275\) −0.854893 0.493573i −0.0515520 0.0297636i
\(276\) 0.423920 1.48957i 0.0255170 0.0896616i
\(277\) 7.36053 + 12.7488i 0.442251 + 0.766001i 0.997856 0.0654449i \(-0.0208467\pi\)
−0.555605 + 0.831446i \(0.687513\pi\)
\(278\) −1.88807 + 0.0899397i −0.113239 + 0.00539423i
\(279\) 3.08041 + 0.442896i 0.184419 + 0.0265155i
\(280\) 10.6512 + 0.460317i 0.636531 + 0.0275092i
\(281\) 7.81316 + 26.6092i 0.466094 + 1.58737i 0.772205 + 0.635374i \(0.219154\pi\)
−0.306111 + 0.951996i \(0.599028\pi\)
\(282\) 3.70585 + 0.353866i 0.220680 + 0.0210724i
\(283\) −6.83194 + 19.7396i −0.406117 + 1.17340i 0.537760 + 0.843098i \(0.319271\pi\)
−0.943876 + 0.330299i \(0.892850\pi\)
\(284\) 9.65067 7.58937i 0.572662 0.450346i
\(285\) 0.741583 + 0.777750i 0.0439276 + 0.0460700i
\(286\) 0.270917 0.312655i 0.0160196 0.0184877i
\(287\) −3.54544 10.0996i −0.209281 0.596159i
\(288\) 2.43603 + 1.56554i 0.143545 + 0.0922505i
\(289\) −2.87999 8.32118i −0.169411 0.489481i
\(290\) 7.48791 + 30.8656i 0.439705 + 1.81249i
\(291\) 0.688113 + 0.875007i 0.0403379 + 0.0512938i
\(292\) −0.706303 3.66465i −0.0413333 0.214457i
\(293\) 4.49035 + 9.83251i 0.262329 + 0.574421i 0.994264 0.106954i \(-0.0341097\pi\)
−0.731935 + 0.681375i \(0.761382\pi\)
\(294\) −1.94762 + 1.14747i −0.113587 + 0.0669221i
\(295\) −38.8330 17.7344i −2.26094 1.03254i
\(296\) 1.19428 1.51866i 0.0694164 0.0882701i
\(297\) 0.148659 + 0.0766392i 0.00862609 + 0.00444706i
\(298\) −3.49332 + 2.01687i −0.202363 + 0.116834i
\(299\) −2.33424 22.4643i −0.134993 1.29914i
\(300\) 3.62881i 0.209509i
\(301\) −14.5558 1.32517i −0.838985 0.0763818i
\(302\) 1.69229 11.7702i 0.0973806 0.677297i
\(303\) −0.863096 1.21205i −0.0495836 0.0696304i
\(304\) 0.597692 + 0.569898i 0.0342800 + 0.0326859i
\(305\) 19.6568 27.6042i 1.12555 1.58061i
\(306\) 14.4441 2.78388i 0.825717 0.159144i
\(307\) −7.78017 + 1.11862i −0.444038 + 0.0638430i −0.360707 0.932679i \(-0.617465\pi\)
−0.0833302 + 0.996522i \(0.526556\pi\)
\(308\) 0.231269 0.0231130i 0.0131778 0.00131698i
\(309\) 0.0458565 + 0.0397349i 0.00260868 + 0.00226044i
\(310\) 1.98440 + 3.84921i 0.112707 + 0.218620i
\(311\) −34.7580 1.65573i −1.97095 0.0938878i −0.977708 0.209970i \(-0.932664\pi\)
−0.993240 + 0.116082i \(0.962967\pi\)
\(312\) −1.49331 0.287811i −0.0845419 0.0162941i
\(313\) 1.53102 1.45982i 0.0865384 0.0825142i −0.645575 0.763697i \(-0.723382\pi\)
0.732114 + 0.681182i \(0.238534\pi\)
\(314\) 2.10950 + 14.6719i 0.119046 + 0.827983i
\(315\) 16.8048 + 25.8970i 0.946844 + 1.45913i
\(316\) 3.96226 1.80950i 0.222894 0.101792i
\(317\) −1.26835 + 5.22821i −0.0712376 + 0.293645i −0.996275 0.0862300i \(-0.972518\pi\)
0.925038 + 0.379875i \(0.124033\pi\)
\(318\) 2.55781 0.244241i 0.143435 0.0136964i
\(319\) 0.257343 + 0.642811i 0.0144084 + 0.0359905i
\(320\) 0.191733 + 4.02497i 0.0107182 + 0.225003i
\(321\) 1.91880 0.107097
\(322\) 7.71579 10.0731i 0.429984 0.561350i
\(323\) 4.19522 0.233428
\(324\) 0.384097 + 8.06318i 0.0213387 + 0.447954i
\(325\) 19.6682 + 49.1289i 1.09100 + 2.72518i
\(326\) 9.67921 0.924252i 0.536082 0.0511896i
\(327\) −1.09478 + 4.51273i −0.0605412 + 0.249554i
\(328\) 3.68006 1.68063i 0.203197 0.0927971i
\(329\) 27.1708 + 13.8562i 1.49798 + 0.763919i
\(330\) 0.0162682 + 0.113148i 0.000895534 + 0.00622857i
\(331\) 12.4720 11.8920i 0.685524 0.653645i −0.265018 0.964244i \(-0.585378\pi\)
0.950541 + 0.310598i \(0.100529\pi\)
\(332\) −6.55454 1.26328i −0.359727 0.0693317i
\(333\) 5.58819 + 0.266199i 0.306231 + 0.0145876i
\(334\) 8.74576 + 16.9644i 0.478547 + 0.928251i
\(335\) −22.3018 19.3246i −1.21848 1.05582i
\(336\) −0.498660 0.693775i −0.0272041 0.0378485i
\(337\) −5.61555 + 0.807395i −0.305899 + 0.0439816i −0.293555 0.955942i \(-0.594838\pi\)
−0.0123438 + 0.999924i \(0.503929\pi\)
\(338\) −9.01213 + 1.73695i −0.490195 + 0.0944774i
\(339\) −0.380746 + 0.534683i −0.0206793 + 0.0290400i
\(340\) 14.8146 + 14.1257i 0.803434 + 0.766073i
\(341\) 0.0547636 + 0.0769047i 0.00296561 + 0.00416462i
\(342\) −0.340333 + 2.36707i −0.0184031 + 0.127997i
\(343\) −18.2953 + 2.87796i −0.987852 + 0.155395i
\(344\) 5.52434i 0.297853i
\(345\) 5.11345 + 3.57740i 0.275299 + 0.192601i
\(346\) −1.03132 + 0.595431i −0.0554440 + 0.0320106i
\(347\) 15.9829 + 8.23976i 0.858007 + 0.442333i 0.830322 0.557283i \(-0.188156\pi\)
0.0276845 + 0.999617i \(0.491187\pi\)
\(348\) 1.57342 2.00077i 0.0843444 0.107253i
\(349\) −18.3364 8.37395i −0.981525 0.448247i −0.140994 0.990011i \(-0.545030\pi\)
−0.840531 + 0.541763i \(0.817757\pi\)
\(350\) −10.9280 + 27.6494i −0.584124 + 1.47792i
\(351\) −3.72467 8.15590i −0.198808 0.435330i
\(352\) 0.0166251 + 0.0862593i 0.000886122 + 0.00459764i
\(353\) −11.7955 14.9992i −0.627810 0.798325i 0.363257 0.931689i \(-0.381665\pi\)
−0.991067 + 0.133364i \(0.957422\pi\)
\(354\) 0.806597 + 3.32484i 0.0428702 + 0.176713i
\(355\) 16.1807 + 46.7511i 0.858784 + 2.48129i
\(356\) −14.3662 9.23262i −0.761409 0.489328i
\(357\) −4.26538 0.802595i −0.225748 0.0424778i
\(358\) −16.3939 + 18.9196i −0.866446 + 0.999932i
\(359\) −23.9896 25.1595i −1.26612 1.32787i −0.921125 0.389266i \(-0.872729\pi\)
−0.344996 0.938604i \(-0.612120\pi\)
\(360\) −9.17197 + 7.21292i −0.483405 + 0.380154i
\(361\) 5.99122 17.3105i 0.315328 0.911079i
\(362\) 7.85237 + 0.749810i 0.412711 + 0.0394092i
\(363\) −1.00008 3.40595i −0.0524904 0.178766i
\(364\) −10.5114 6.68998i −0.550949 0.350650i
\(365\) 14.8855 + 2.14021i 0.779144 + 0.112024i
\(366\) −2.71272 + 0.129223i −0.141796 + 0.00675457i
\(367\) −10.6476 18.4421i −0.555798 0.962670i −0.997841 0.0656762i \(-0.979080\pi\)
0.442043 0.896994i \(-0.354254\pi\)
\(368\) 4.05599 + 2.55909i 0.211433 + 0.133402i
\(369\) 10.1456 + 5.85754i 0.528156 + 0.304931i
\(370\) 4.20892 + 6.54922i 0.218812 + 0.340477i
\(371\) 20.2246 + 5.84173i 1.05001 + 0.303287i
\(372\) 0.144174 0.315696i 0.00747505 0.0163681i
\(373\) −18.8447 4.57167i −0.975740 0.236712i −0.283972 0.958832i \(-0.591652\pi\)
−0.691767 + 0.722121i \(0.743168\pi\)
\(374\) 0.363508 + 0.258853i 0.0187965 + 0.0133849i
\(375\) −7.66973 2.65452i −0.396063 0.137079i
\(376\) −4.28449 + 10.7021i −0.220956 + 0.551921i
\(377\) 10.4577 35.6156i 0.538598 1.83430i
\(378\) 1.62652 4.76743i 0.0836591 0.245210i
\(379\) 6.12944 9.53760i 0.314848 0.489913i −0.647376 0.762171i \(-0.724134\pi\)
0.962225 + 0.272257i \(0.0877701\pi\)
\(380\) −2.95784 + 1.52487i −0.151734 + 0.0782242i
\(381\) −0.799991 + 4.15075i −0.0409848 + 0.212649i
\(382\) −16.6653 + 4.04295i −0.852670 + 0.206855i
\(383\) −21.9167 8.77411i −1.11989 0.448336i −0.263496 0.964660i \(-0.584876\pi\)
−0.856393 + 0.516324i \(0.827300\pi\)
\(384\) 0.244054 0.211474i 0.0124543 0.0107917i
\(385\) −0.216784 + 0.911112i −0.0110483 + 0.0464346i
\(386\) 21.3806 6.27790i 1.08824 0.319537i
\(387\) 13.0307 9.27913i 0.662389 0.471685i
\(388\) −3.20016 + 1.28115i −0.162463 + 0.0650405i
\(389\) 7.16970 13.9073i 0.363518 0.705127i −0.634162 0.773200i \(-0.718655\pi\)
0.997680 + 0.0680733i \(0.0216852\pi\)
\(390\) 3.06404 5.30707i 0.155154 0.268734i
\(391\) 23.8829 4.80990i 1.20781 0.243247i
\(392\) −1.71024 6.78786i −0.0863801 0.342839i
\(393\) −3.02392 + 1.94335i −0.152536 + 0.0980292i
\(394\) 4.90584 + 3.85799i 0.247153 + 0.194363i
\(395\) 1.66844 + 17.4727i 0.0839485 + 0.879148i
\(396\) −0.175542 + 0.184103i −0.00882131 + 0.00925152i
\(397\) −0.0873608 + 0.914883i −0.00438451 + 0.0459167i −0.997399 0.0720724i \(-0.977039\pi\)
0.993015 + 0.117989i \(0.0376448\pi\)
\(398\) 1.20170 + 1.38684i 0.0602358 + 0.0695158i
\(399\) 0.350100 0.612613i 0.0175269 0.0306690i
\(400\) −10.7819 3.16587i −0.539097 0.158293i
\(401\) −16.5939 + 5.74320i −0.828659 + 0.286802i −0.708285 0.705927i \(-0.750531\pi\)
−0.120375 + 0.992729i \(0.538410\pi\)
\(402\) −0.112527 + 2.36224i −0.00561235 + 0.117818i
\(403\) 0.240823 5.05550i 0.0119963 0.251832i
\(404\) 4.35424 1.50702i 0.216632 0.0749770i
\(405\) −31.2101 9.16411i −1.55084 0.455368i
\(406\) 18.0138 10.5065i 0.894011 0.521427i
\(407\) 0.111143 + 0.128266i 0.00550916 + 0.00635791i
\(408\) 0.155935 1.63303i 0.00771994 0.0808469i
\(409\) 10.7808 11.3066i 0.533075 0.559073i −0.401033 0.916064i \(-0.631349\pi\)
0.934108 + 0.356991i \(0.116197\pi\)
\(410\) 1.54961 + 16.2283i 0.0765300 + 0.801458i
\(411\) −1.81184 1.42485i −0.0893715 0.0702825i
\(412\) −0.158067 + 0.101584i −0.00778741 + 0.00500466i
\(413\) −3.86677 + 27.7624i −0.190271 + 1.36610i
\(414\) 0.776419 + 13.8656i 0.0381589 + 0.681459i
\(415\) 13.4489 23.2942i 0.660181 1.14347i
\(416\) 2.15795 4.18584i 0.105802 0.205228i
\(417\) −0.566680 + 0.226865i −0.0277505 + 0.0111096i
\(418\) −0.0590957 + 0.0420818i −0.00289046 + 0.00205829i
\(419\) 15.2489 4.47749i 0.744959 0.218740i 0.112842 0.993613i \(-0.464005\pi\)
0.632117 + 0.774873i \(0.282186\pi\)
\(420\) 3.29903 0.984505i 0.160976 0.0480389i
\(421\) 7.58201 6.56985i 0.369525 0.320195i −0.450227 0.892914i \(-0.648657\pi\)
0.819752 + 0.572719i \(0.194111\pi\)
\(422\) −2.11476 0.846623i −0.102945 0.0412130i
\(423\) −32.4406 + 7.87001i −1.57732 + 0.382653i
\(424\) −1.50581 + 7.81287i −0.0731285 + 0.379427i
\(425\) −50.7379 + 26.1572i −2.46115 + 1.26881i
\(426\) 2.14350 3.33534i 0.103853 0.161598i
\(427\) −21.0585 7.18460i −1.01909 0.347687i
\(428\) −1.67401 + 5.70116i −0.0809164 + 0.275576i
\(429\) 0.0496528 0.124027i 0.00239726 0.00598807i
\(430\) 21.0362 + 7.28070i 1.01446 + 0.351107i
\(431\) 12.9865 + 9.24764i 0.625537 + 0.445443i 0.848363 0.529415i \(-0.177589\pi\)
−0.222826 + 0.974858i \(0.571528\pi\)
\(432\) 1.85024 + 0.448862i 0.0890195 + 0.0215959i
\(433\) −2.37231 + 5.19463i −0.114006 + 0.249638i −0.958030 0.286667i \(-0.907453\pi\)
0.844025 + 0.536304i \(0.180180\pi\)
\(434\) 2.04922 1.97125i 0.0983658 0.0946232i
\(435\) 5.54510 + 8.62834i 0.265867 + 0.413697i
\(436\) −12.4531 7.18983i −0.596398 0.344330i
\(437\) −0.530949 + 3.92486i −0.0253987 + 0.187752i
\(438\) −0.602602 1.04374i −0.0287934 0.0498717i
\(439\) 34.2354 1.63083i 1.63397 0.0778355i 0.789608 0.613612i \(-0.210284\pi\)
0.844360 + 0.535777i \(0.179981\pi\)
\(440\) −0.350378 0.0503768i −0.0167036 0.00240162i
\(441\) 13.1384 15.4355i 0.625639 0.735025i
\(442\) −6.73991 22.9540i −0.320585 1.09181i
\(443\) 6.03349 + 0.576129i 0.286660 + 0.0273727i 0.237395 0.971413i \(-0.423706\pi\)
0.0492643 + 0.998786i \(0.484312\pi\)
\(444\) 0.204058 0.589587i 0.00968417 0.0279806i
\(445\) 54.0907 42.5374i 2.56415 2.01647i
\(446\) −15.4434 16.1966i −0.731267 0.766931i
\(447\) −0.853032 + 0.984451i −0.0403470 + 0.0465630i
\(448\) 2.49640 0.876356i 0.117944 0.0414039i
\(449\) 26.6866 + 17.1504i 1.25942 + 0.809379i 0.988204 0.153140i \(-0.0489386\pi\)
0.271214 + 0.962519i \(0.412575\pi\)
\(450\) −10.6426 30.7499i −0.501699 1.44956i
\(451\) 0.0837882 + 0.345380i 0.00394543 + 0.0162633i
\(452\) −1.25648 1.59775i −0.0591000 0.0751518i
\(453\) −0.726729 3.77063i −0.0341447 0.177160i
\(454\) −6.04205 13.2302i −0.283567 0.620926i
\(455\) 39.3282 31.2097i 1.84373 1.46313i
\(456\) 0.242590 + 0.110787i 0.0113603 + 0.00518808i
\(457\) −18.6975 + 23.7758i −0.874632 + 1.11218i 0.118239 + 0.992985i \(0.462275\pi\)
−0.992870 + 0.119199i \(0.961967\pi\)
\(458\) 18.7158 + 9.64868i 0.874534 + 0.450853i
\(459\) 8.37590 4.83583i 0.390953 0.225717i
\(460\) −15.0903 + 12.0721i −0.703590 + 0.562866i
\(461\) 32.8899i 1.53184i 0.642937 + 0.765919i \(0.277716\pi\)
−0.642937 + 0.765919i \(0.722284\pi\)
\(462\) 0.0681348 0.0314800i 0.00316992 0.00146458i
\(463\) 2.29114 15.9352i 0.106478 0.740573i −0.864712 0.502268i \(-0.832499\pi\)
0.971190 0.238305i \(-0.0765917\pi\)
\(464\) 4.57202 + 6.42050i 0.212251 + 0.298064i
\(465\) 1.01213 + 0.965066i 0.0469365 + 0.0447539i
\(466\) 8.20921 11.5282i 0.380284 0.534035i
\(467\) −35.6853 + 6.87778i −1.65132 + 0.318266i −0.928094 0.372346i \(-0.878554\pi\)
−0.723226 + 0.690612i \(0.757341\pi\)
\(468\) 13.4981 1.94074i 0.623952 0.0897107i
\(469\) −7.97115 + 17.6600i −0.368073 + 0.815465i
\(470\) −35.1062 30.4197i −1.61933 1.40315i
\(471\) 2.19340 + 4.25460i 0.101067 + 0.196042i
\(472\) −10.5825 0.504107i −0.487099 0.0232034i
\(473\) 0.476526 + 0.0918428i 0.0219107 + 0.00422294i
\(474\) 1.01804 0.970698i 0.0467601 0.0445856i
\(475\) −1.32070 9.18566i −0.0605978 0.421467i
\(476\) 6.10591 11.9731i 0.279864 0.548788i
\(477\) −20.9581 + 9.57126i −0.959607 + 0.438238i
\(478\) −2.98913 + 12.3214i −0.136720 + 0.563566i
\(479\) 21.5697 2.05966i 0.985544 0.0941081i 0.410179 0.912005i \(-0.365466\pi\)
0.575365 + 0.817897i \(0.304860\pi\)
\(480\) 0.483628 + 1.20804i 0.0220745 + 0.0551395i
\(481\) −0.432923 9.08817i −0.0197396 0.414385i
\(482\) 15.6474 0.712721
\(483\) 1.29070 3.88893i 0.0587290 0.176952i
\(484\) 10.9923 0.499649
\(485\) −0.660918 13.8744i −0.0300108 0.630003i
\(486\) 3.09168 + 7.72263i 0.140241 + 0.350306i
\(487\) −0.986835 + 0.0942314i −0.0447178 + 0.00427003i −0.117391 0.993086i \(-0.537453\pi\)
0.0726732 + 0.997356i \(0.476847\pi\)
\(488\) 1.98270 8.17279i 0.0897525 0.369965i
\(489\) 2.85618 1.30437i 0.129161 0.0589857i
\(490\) 28.1016 + 2.43350i 1.26950 + 0.109934i
\(491\) 3.35586 + 23.3405i 0.151448 + 1.05334i 0.913795 + 0.406175i \(0.133138\pi\)
−0.762347 + 0.647168i \(0.775953\pi\)
\(492\) 0.945532 0.901563i 0.0426279 0.0406456i
\(493\) 39.3164 + 7.57761i 1.77072 + 0.341278i
\(494\) 3.88479 + 0.185055i 0.174785 + 0.00832603i
\(495\) −0.469696 0.911083i −0.0211113 0.0409501i
\(496\) 0.812219 + 0.703792i 0.0364697 + 0.0316012i
\(497\) 26.3764 18.9584i 1.18314 0.850401i
\(498\) −2.13367 + 0.306776i −0.0956121 + 0.0137469i
\(499\) −23.7855 + 4.58428i −1.06478 + 0.205220i −0.691412 0.722461i \(-0.743011\pi\)
−0.373373 + 0.927681i \(0.621799\pi\)
\(500\) 14.5784 20.4725i 0.651966 0.915559i
\(501\) 4.46071 + 4.25328i 0.199290 + 0.190023i
\(502\) 4.25739 + 5.97866i 0.190016 + 0.266841i
\(503\) 3.28260 22.8310i 0.146364 1.01798i −0.775743 0.631049i \(-0.782625\pi\)
0.922107 0.386935i \(-0.126466\pi\)
\(504\) 6.26028 + 4.41646i 0.278855 + 0.196725i
\(505\) 18.5667i 0.826208i
\(506\) −0.288177 + 0.307321i −0.0128110 + 0.0136621i
\(507\) −2.56677 + 1.48192i −0.113994 + 0.0658145i
\(508\) −11.6348 5.99816i −0.516211 0.266125i
\(509\) −6.00499 + 7.63597i −0.266167 + 0.338458i −0.900704 0.434434i \(-0.856948\pi\)
0.634537 + 0.772892i \(0.281191\pi\)
\(510\) 6.01291 + 2.74600i 0.266256 + 0.121595i
\(511\) −1.44833 9.76739i −0.0640701 0.432084i
\(512\) 0.415415 + 0.909632i 0.0183589 + 0.0402004i
\(513\) 0.297565 + 1.54391i 0.0131378 + 0.0681655i
\(514\) −5.95011 7.56618i −0.262448 0.333730i
\(515\) −0.178500 0.735785i −0.00786563 0.0324226i
\(516\) −0.583481 1.68586i −0.0256863 0.0742158i
\(517\) −0.851929 0.547502i −0.0374678 0.0240791i
\(518\) 3.33032 3.87781i 0.146326 0.170381i
\(519\) −0.251837 + 0.290635i −0.0110544 + 0.0127575i
\(520\) 13.0953 + 13.7339i 0.574266 + 0.602273i
\(521\) −22.9981 + 18.0859i −1.00757 + 0.792358i −0.978296 0.207214i \(-0.933560\pi\)
−0.0292693 + 0.999572i \(0.509318\pi\)
\(522\) −7.46503 + 21.5688i −0.326735 + 0.944040i
\(523\) 16.0771 + 1.53518i 0.703003 + 0.0671286i 0.440434 0.897785i \(-0.354824\pi\)
0.262568 + 0.964913i \(0.415430\pi\)
\(524\) −3.13597 10.6801i −0.136995 0.466563i
\(525\) −0.414540 + 9.59196i −0.0180920 + 0.418628i
\(526\) −8.77413 1.26153i −0.382570 0.0550053i
\(527\) 5.45329 0.259772i 0.237549 0.0113159i
\(528\) 0.0141842 + 0.0245677i 0.000617287 + 0.00106917i
\(529\) 1.47731 + 22.9525i 0.0642308 + 0.997935i
\(530\) −27.7662 16.0308i −1.20609 0.696334i
\(531\) −16.5861 25.8085i −0.719777 1.11999i
\(532\) 1.51477 + 1.57468i 0.0656734 + 0.0682710i
\(533\) 7.91466 17.3307i 0.342822 0.750676i
\(534\) −5.35928 1.30015i −0.231919 0.0562629i
\(535\) −19.5033 13.8882i −0.843201 0.600440i
\(536\) −6.92054 2.39522i −0.298922 0.103458i
\(537\) −3.00463 + 7.50520i −0.129659 + 0.323873i
\(538\) 1.64300 5.59556i 0.0708349 0.241242i
\(539\) 0.613949 0.0346749i 0.0264447 0.00149355i
\(540\) −4.14771 + 6.45396i −0.178489 + 0.277734i
\(541\) 14.0536 7.24515i 0.604213 0.311494i −0.128839 0.991665i \(-0.541125\pi\)
0.733053 + 0.680172i \(0.238095\pi\)
\(542\) 4.60531 23.8946i 0.197815 1.02636i
\(543\) 2.47550 0.600549i 0.106234 0.0257720i
\(544\) 4.71602 + 1.88801i 0.202198 + 0.0809478i
\(545\) 43.7906 37.9448i 1.87578 1.62538i
\(546\) −3.91436 0.931357i −0.167519 0.0398584i
\(547\) −13.1982 + 3.87533i −0.564313 + 0.165697i −0.551432 0.834220i \(-0.685918\pi\)
−0.0128807 + 0.999917i \(0.504100\pi\)
\(548\) 5.81422 4.14029i 0.248371 0.176864i
\(549\) 22.6081 9.05093i 0.964891 0.386284i
\(550\) 0.452336 0.877410i 0.0192877 0.0374129i
\(551\) −3.25466 + 5.63724i −0.138653 + 0.240154i
\(552\) 1.50805 + 0.352563i 0.0641870 + 0.0150061i
\(553\) 10.6801 4.33040i 0.454163 0.184147i
\(554\) −12.3841 + 7.95880i −0.526152 + 0.338137i
\(555\) 1.97616 + 1.55407i 0.0838834 + 0.0659666i
\(556\) −0.179676 1.88165i −0.00761995 0.0797997i
\(557\) −9.13648 + 9.58207i −0.387125 + 0.406005i −0.888243 0.459374i \(-0.848074\pi\)
0.501118 + 0.865379i \(0.332922\pi\)
\(558\) −0.295822 + 3.09799i −0.0125232 + 0.131148i
\(559\) −17.0369 19.6616i −0.720584 0.831599i
\(560\) 0.0470083 + 10.6610i 0.00198646 + 0.450511i
\(561\) 0.138271 + 0.0406001i 0.00583782 + 0.00171414i
\(562\) −26.2073 + 9.07042i −1.10549 + 0.382613i
\(563\) −0.131376 + 2.75792i −0.00553683 + 0.116232i 0.994407 + 0.105617i \(0.0336819\pi\)
−0.999944 + 0.0106148i \(0.996621\pi\)
\(564\) −0.177134 + 3.71849i −0.00745867 + 0.156577i
\(565\) 7.74005 2.67886i 0.325626 0.112700i
\(566\) −20.0423 5.88495i −0.842441 0.247363i
\(567\) 0.0941713 + 21.3571i 0.00395482 + 0.896916i
\(568\) 8.03997 + 9.27862i 0.337350 + 0.389322i
\(569\) 2.53606 26.5588i 0.106317 1.11340i −0.772098 0.635504i \(-0.780792\pi\)
0.878415 0.477899i \(-0.158602\pi\)
\(570\) −0.741583 + 0.777750i −0.0310615 + 0.0325764i
\(571\) 1.14223 + 11.9620i 0.0478009 + 0.500593i 0.987392 + 0.158294i \(0.0505995\pi\)
−0.939591 + 0.342299i \(0.888794\pi\)
\(572\) 0.325191 + 0.255733i 0.0135969 + 0.0106927i
\(573\) −4.65871 + 2.99397i −0.194620 + 0.125075i
\(574\) 9.91943 4.02198i 0.414029 0.167874i
\(575\) −18.0501 50.7787i −0.752743 2.11762i
\(576\) −1.44786 + 2.50776i −0.0603274 + 0.104490i
\(577\) −0.898904 + 1.74363i −0.0374219 + 0.0725883i −0.906805 0.421550i \(-0.861486\pi\)
0.869383 + 0.494138i \(0.164516\pi\)
\(578\) 8.17472 3.27267i 0.340024 0.136125i
\(579\) 5.86161 4.17404i 0.243600 0.173467i
\(580\) −30.4743 + 8.94807i −1.26538 + 0.371548i
\(581\) −17.1812 4.08798i −0.712797 0.169598i
\(582\) −0.841274 + 0.728968i −0.0348719 + 0.0302167i
\(583\) −0.648898 0.259780i −0.0268746 0.0107590i
\(584\) 3.62689 0.879874i 0.150082 0.0364095i
\(585\) −10.3995 + 53.9575i −0.429964 + 2.23087i
\(586\) −9.60771 + 4.95312i −0.396891 + 0.204611i
\(587\) −16.1578 + 25.1420i −0.666902 + 1.03772i 0.328736 + 0.944422i \(0.393377\pi\)
−0.995638 + 0.0932983i \(0.970259\pi\)
\(588\) −1.23885 1.89081i −0.0510891 0.0779757i
\(589\) −0.250052 + 0.851599i −0.0103032 + 0.0350895i
\(590\) 15.8666 39.6328i 0.653217 1.63166i
\(591\) 1.90459 + 0.659186i 0.0783444 + 0.0271153i
\(592\) 1.57376 + 1.12067i 0.0646813 + 0.0460593i
\(593\) −34.2671 8.31311i −1.40718 0.341378i −0.540964 0.841046i \(-0.681940\pi\)
−0.866217 + 0.499667i \(0.833456\pi\)
\(594\) −0.0694789 + 0.152138i −0.00285075 + 0.00624228i
\(595\) 37.5455 + 39.0305i 1.53922 + 1.60010i
\(596\) −2.18081 3.39340i −0.0893293 0.138999i
\(597\) 0.513200 + 0.296296i 0.0210039 + 0.0121266i
\(598\) 22.3278 3.40049i 0.913051 0.139056i
\(599\) −23.7235 41.0904i −0.969318 1.67891i −0.697538 0.716548i \(-0.745721\pi\)
−0.271780 0.962359i \(-0.587612\pi\)
\(600\) −3.62470 + 0.172666i −0.147978 + 0.00704904i
\(601\) −1.78534 0.256692i −0.0728253 0.0104707i 0.105806 0.994387i \(-0.466258\pi\)
−0.178631 + 0.983916i \(0.557167\pi\)
\(602\) 0.631079 14.6024i 0.0257208 0.595150i
\(603\) −5.97449 20.3472i −0.243300 0.828603i
\(604\) 11.8374 + 1.13033i 0.481655 + 0.0459925i
\(605\) −14.4871 + 41.8576i −0.588983 + 1.70176i
\(606\) 1.16961 0.919791i 0.0475121 0.0373639i
\(607\) 7.33332 + 7.69097i 0.297650 + 0.312167i 0.855528 0.517756i \(-0.173233\pi\)
−0.557878 + 0.829923i \(0.688384\pi\)
\(608\) −0.540813 + 0.624132i −0.0219329 + 0.0253119i
\(609\) 4.38757 5.10887i 0.177793 0.207022i
\(610\) 28.5082 + 18.3211i 1.15426 + 0.741800i
\(611\) 17.7562 + 51.3032i 0.718339 + 2.07550i
\(612\) 3.46801 + 14.2953i 0.140186 + 0.577854i
\(613\) 3.92356 + 4.98921i 0.158471 + 0.201512i 0.858804 0.512304i \(-0.171208\pi\)
−0.700333 + 0.713816i \(0.746965\pi\)
\(614\) −1.48755 7.71813i −0.0600325 0.311478i
\(615\) 2.18693 + 4.78870i 0.0881854 + 0.193099i
\(616\) 0.0340910 + 0.229907i 0.00137356 + 0.00926322i
\(617\) 2.90778 + 1.32794i 0.117063 + 0.0534608i 0.473086 0.881017i \(-0.343140\pi\)
−0.356023 + 0.934477i \(0.615867\pi\)
\(618\) −0.0375079 + 0.0476952i −0.00150879 + 0.00191858i
\(619\) −28.1405 14.5075i −1.13106 0.583104i −0.212022 0.977265i \(-0.568005\pi\)
−0.919041 + 0.394161i \(0.871035\pi\)
\(620\) −3.75042 + 2.16531i −0.150621 + 0.0869609i
\(621\) 3.46413 + 8.44815i 0.139011 + 0.339013i
\(622\) 34.7975i 1.39525i
\(623\) −36.9194 26.0456i −1.47914 1.04349i
\(624\) 0.216431 1.50531i 0.00866418 0.0602607i
\(625\) 26.1533 + 36.7272i 1.04613 + 1.46909i
\(626\) 1.53102 + 1.45982i 0.0611919 + 0.0583463i
\(627\) −0.0135895 + 0.0190838i −0.000542712 + 0.000762132i
\(628\) −14.5549 + 2.80523i −0.580804 + 0.111941i
\(629\) 9.71450 1.39673i 0.387343 0.0556914i
\(630\) −25.0681 + 18.0180i −0.998737 + 0.717855i
\(631\) 21.4399 + 18.5778i 0.853508 + 0.739569i 0.967219 0.253945i \(-0.0817283\pi\)
−0.113711 + 0.993514i \(0.536274\pi\)
\(632\) 1.99598 + 3.87167i 0.0793960 + 0.154007i
\(633\) −0.734780 0.0350019i −0.0292049 0.00139120i
\(634\) −5.28264 1.01814i −0.209800 0.0404357i
\(635\) 38.1744 36.3992i 1.51490 1.44446i
\(636\) 0.365670 + 2.54329i 0.0144998 + 0.100848i
\(637\) −27.0205 18.8843i −1.07059 0.748223i
\(638\) −0.629838 + 0.287638i −0.0249355 + 0.0113877i
\(639\) −8.38165 + 34.5496i −0.331573 + 1.36676i
\(640\) −4.01129 + 0.383031i −0.158560 + 0.0151406i
\(641\) 10.7489 + 26.8495i 0.424557 + 1.06049i 0.974319 + 0.225170i \(0.0722938\pi\)
−0.549763 + 0.835321i \(0.685282\pi\)
\(642\) 0.0913002 + 1.91663i 0.00360333 + 0.0756432i
\(643\) 0.757834 0.0298860 0.0149430 0.999888i \(-0.495243\pi\)
0.0149430 + 0.999888i \(0.495243\pi\)
\(644\) 10.4288 + 7.22775i 0.410952 + 0.284813i
\(645\) 7.18859 0.283050
\(646\) 0.199616 + 4.19046i 0.00785380 + 0.164872i
\(647\) 6.28989 + 15.7114i 0.247281 + 0.617678i 0.999132 0.0416550i \(-0.0132630\pi\)
−0.751851 + 0.659333i \(0.770839\pi\)
\(648\) −8.03577 + 0.767323i −0.315675 + 0.0301433i
\(649\) 0.219419 0.904458i 0.00861295 0.0355031i
\(650\) −48.1374 + 21.9836i −1.88810 + 0.862268i
\(651\) 0.417156 0.818005i 0.0163496 0.0320601i
\(652\) 1.38376 + 9.62427i 0.0541923 + 0.376915i
\(653\) 7.19627 6.86163i 0.281612 0.268516i −0.536087 0.844163i \(-0.680098\pi\)
0.817699 + 0.575647i \(0.195250\pi\)
\(654\) −4.55971 0.878811i −0.178299 0.0343642i
\(655\) 44.8019 + 2.13418i 1.75056 + 0.0833893i
\(656\) 1.85383 + 3.59592i 0.0723798 + 0.140397i
\(657\) 8.16745 + 7.07713i 0.318642 + 0.276105i
\(658\) −12.5477 + 27.7994i −0.489160 + 1.08373i
\(659\) 22.7092 3.26509i 0.884625 0.127190i 0.314997 0.949093i \(-0.397996\pi\)
0.569628 + 0.821903i \(0.307087\pi\)
\(660\) −0.112245 + 0.0216335i −0.00436915 + 0.000842084i
\(661\) −13.2277 + 18.5757i −0.514498 + 0.722511i −0.987337 0.158638i \(-0.949290\pi\)
0.472839 + 0.881149i \(0.343229\pi\)
\(662\) 12.4720 + 11.8920i 0.484738 + 0.462197i
\(663\) −4.48122 6.29299i −0.174036 0.244399i
\(664\) 0.949976 6.60723i 0.0368662 0.256410i
\(665\) −7.99260 + 3.69278i −0.309940 + 0.143200i
\(666\) 5.59453i 0.216784i
\(667\) −12.0652 + 35.8237i −0.467166 + 1.38710i
\(668\) −16.5290 + 9.54305i −0.639528 + 0.369232i
\(669\) −6.42354 3.31156i −0.248348 0.128032i
\(670\) 18.2416 23.1961i 0.704734 0.896142i
\(671\) 0.672016 + 0.306900i 0.0259429 + 0.0118477i
\(672\) 0.669262 0.531106i 0.0258174 0.0204879i
\(673\) 17.0422 + 37.3172i 0.656929 + 1.43847i 0.885357 + 0.464912i \(0.153914\pi\)
−0.228428 + 0.973561i \(0.573359\pi\)
\(674\) −1.07368 5.57078i −0.0413566 0.214578i
\(675\) −13.2251 16.8171i −0.509036 0.647292i
\(676\) −2.16379 8.91928i −0.0832228 0.343049i
\(677\) −2.64810 7.65119i −0.101775 0.294059i 0.882605 0.470115i \(-0.155787\pi\)
−0.984380 + 0.176055i \(0.943666\pi\)
\(678\) −0.552194 0.354874i −0.0212069 0.0136288i
\(679\) −8.60528 + 3.02087i −0.330240 + 0.115930i
\(680\) −13.4048 + 15.4699i −0.514050 + 0.593245i
\(681\) −3.24122 3.39930i −0.124204 0.130261i
\(682\) −0.0742118 + 0.0583608i −0.00284172 + 0.00223475i
\(683\) −14.0606 + 40.6254i −0.538014 + 1.55449i 0.268504 + 0.963278i \(0.413471\pi\)
−0.806518 + 0.591210i \(0.798651\pi\)
\(684\) −2.38058 0.227318i −0.0910239 0.00869172i
\(685\) 8.10311 + 27.5967i 0.309604 + 1.05441i
\(686\) −3.74523 18.1376i −0.142993 0.692498i
\(687\) 6.73059 + 0.967712i 0.256788 + 0.0369205i
\(688\) 5.51809 0.262859i 0.210375 0.0100214i
\(689\) 18.7353 + 32.4506i 0.713760 + 1.23627i
\(690\) −3.33004 + 5.27788i −0.126772 + 0.200925i
\(691\) −29.6228 17.1027i −1.12691 0.650619i −0.183751 0.982973i \(-0.558824\pi\)
−0.943155 + 0.332354i \(0.892157\pi\)
\(692\) −0.643829 1.00182i −0.0244747 0.0380834i
\(693\) −0.485038 + 0.466583i −0.0184251 + 0.0177240i
\(694\) −7.46993 + 16.3569i −0.283555 + 0.620898i
\(695\) 7.40195 + 1.79569i 0.280772 + 0.0681146i
\(696\) 2.07337 + 1.47644i 0.0785910 + 0.0559644i
\(697\) 19.4213 + 6.72176i 0.735632 + 0.254605i
\(698\) 7.49199 18.7141i 0.283576 0.708338i
\(699\) 1.28759 4.38512i 0.0487010 0.165860i
\(700\) −28.1381 9.59997i −1.06352 0.362845i
\(701\) 15.1989 23.6500i 0.574055 0.893248i −0.425878 0.904781i \(-0.640035\pi\)
0.999933 + 0.0115329i \(0.00367113\pi\)
\(702\) 7.96943 4.10853i 0.300787 0.155066i
\(703\) −0.301957 + 1.56670i −0.0113885 + 0.0590892i
\(704\) −0.0853705 + 0.0207107i −0.00321752 + 0.000780563i
\(705\) −13.9262 5.57523i −0.524493 0.209975i
\(706\) 14.4209 12.4958i 0.542739 0.470286i
\(707\) 11.6817 3.48607i 0.439334 0.131107i
\(708\) −3.28269 + 0.963886i −0.123371 + 0.0362251i
\(709\) 16.6859 11.8819i 0.626650 0.446236i −0.222104 0.975023i \(-0.571292\pi\)
0.848754 + 0.528787i \(0.177353\pi\)
\(710\) −45.9283 + 18.3869i −1.72366 + 0.690048i
\(711\) −5.77980 + 11.2113i −0.216760 + 0.420455i
\(712\) 8.53859 14.7893i 0.319997 0.554251i
\(713\) −0.447140 + 5.13474i −0.0167455 + 0.192298i
\(714\) 0.598731 4.29874i 0.0224070 0.160876i
\(715\) −1.40239 + 0.901261i −0.0524464 + 0.0337052i
\(716\) −19.6782 15.4751i −0.735410 0.578332i
\(717\) 0.389193 + 4.07581i 0.0145347 + 0.152214i
\(718\) 23.9896 25.1595i 0.895283 0.938946i
\(719\) 1.56509 16.3904i 0.0583681 0.611258i −0.918210 0.396094i \(-0.870365\pi\)
0.976578 0.215164i \(-0.0690285\pi\)
\(720\) −7.64117 8.81838i −0.284769 0.328641i
\(721\) −0.429421 + 0.250457i −0.0159925 + 0.00932751i
\(722\) 17.5760 + 5.16077i 0.654110 + 0.192064i
\(723\) 4.77511 1.65268i 0.177588 0.0614639i
\(724\) −0.375330 + 7.87915i −0.0139490 + 0.292826i
\(725\) 4.21439 88.4710i 0.156519 3.28573i
\(726\) 3.35450 1.16101i 0.124497 0.0430889i
\(727\) 3.62907 + 1.06559i 0.134595 + 0.0395206i 0.348336 0.937370i \(-0.386747\pi\)
−0.213741 + 0.976890i \(0.568565\pi\)
\(728\) 6.18225 10.8178i 0.229129 0.400936i
\(729\) −14.0996 16.2718i −0.522207 0.602659i
\(730\) −1.42951 + 14.9705i −0.0529085 + 0.554083i
\(731\) 19.3658 20.3103i 0.716270 0.751202i
\(732\) −0.258152 2.70350i −0.00954159 0.0999241i
\(733\) 10.4207 + 8.19492i 0.384897 + 0.302686i 0.791795 0.610787i \(-0.209147\pi\)
−0.406898 + 0.913474i \(0.633389\pi\)
\(734\) 17.9146 11.5130i 0.661239 0.424953i
\(735\) 8.83275 2.22546i 0.325801 0.0820873i
\(736\) −2.36320 + 4.17316i −0.0871089 + 0.153825i
\(737\) 0.321665 0.557140i 0.0118487 0.0205225i
\(738\) −5.36816 + 10.4128i −0.197605 + 0.383299i
\(739\) −31.1404 + 12.4667i −1.14552 + 0.458596i −0.865257 0.501328i \(-0.832845\pi\)
−0.280261 + 0.959924i \(0.590421\pi\)
\(740\) −6.34153 + 4.51578i −0.233119 + 0.166003i
\(741\) 1.20506 0.353838i 0.0442691 0.0129986i
\(742\) −4.87279 + 20.4796i −0.178886 + 0.751830i
\(743\) −24.1632 + 20.9375i −0.886461 + 0.768123i −0.973645 0.228069i \(-0.926759\pi\)
0.0871839 + 0.996192i \(0.472213\pi\)
\(744\) 0.322199 + 0.128989i 0.0118124 + 0.00472896i
\(745\) 15.7959 3.83205i 0.578718 0.140395i
\(746\) 3.66982 19.0408i 0.134362 0.697135i
\(747\) 17.1807 8.85725i 0.628607 0.324070i
\(748\) −0.241263 + 0.375413i −0.00882145 + 0.0137264i
\(749\) −5.07617 + 14.8786i −0.185479 + 0.543651i
\(750\) 2.28657 7.78735i 0.0834938 0.284354i
\(751\) −5.53545 + 13.8269i −0.201991 + 0.504550i −0.994430 0.105402i \(-0.966387\pi\)
0.792438 + 0.609952i \(0.208811\pi\)
\(752\) −10.8939 3.77041i −0.397259 0.137493i
\(753\) 1.93069 + 1.37484i 0.0703582 + 0.0501019i
\(754\) 36.0729 + 8.75118i 1.31370 + 0.318699i
\(755\) −19.9050 + 43.5859i −0.724417 + 1.58625i
\(756\) 4.83942 + 1.39783i 0.176008 + 0.0508387i
\(757\) −11.3063 17.5929i −0.410933 0.639424i 0.572667 0.819788i \(-0.305909\pi\)
−0.983600 + 0.180364i \(0.942272\pi\)
\(758\) 9.81844 + 5.66868i 0.356622 + 0.205896i
\(759\) −0.0554834 + 0.124222i −0.00201392 + 0.00450898i
\(760\) −1.66388 2.88193i −0.0603554 0.104539i
\(761\) −53.2874 + 2.53839i −1.93167 + 0.0920166i −0.977969 0.208749i \(-0.933061\pi\)
−0.953698 + 0.300766i \(0.902758\pi\)
\(762\) −4.18411 0.601584i −0.151574 0.0217931i
\(763\) −32.0959 20.4274i −1.16195 0.739520i
\(764\) −4.83134 16.4540i −0.174792 0.595286i
\(765\) −59.0059 5.63438i −2.13336 0.203712i
\(766\) 7.72133 22.3093i 0.278983 0.806069i
\(767\) −39.2187 + 30.8419i −1.41611 + 1.11364i
\(768\) 0.222847 + 0.233715i 0.00804130 + 0.00843348i
\(769\) 9.73749 11.2377i 0.351143 0.405240i −0.552510 0.833506i \(-0.686330\pi\)
0.903653 + 0.428266i \(0.140875\pi\)
\(770\) −0.920395 0.173186i −0.0331687 0.00624119i
\(771\) −2.61493 1.68051i −0.0941743 0.0605222i
\(772\) 7.28812 + 21.0576i 0.262305 + 0.757881i
\(773\) −1.33362 5.49728i −0.0479671 0.197723i 0.942786 0.333397i \(-0.108195\pi\)
−0.990754 + 0.135674i \(0.956680\pi\)
\(774\) 9.88865 + 12.5744i 0.355440 + 0.451979i
\(775\) −2.28554 11.8585i −0.0820991 0.425971i
\(776\) −1.43197 3.13557i −0.0514047 0.112561i
\(777\) 0.606736 1.53514i 0.0217665 0.0550727i
\(778\) 14.2327 + 6.49984i 0.510266 + 0.233031i
\(779\) −2.06532 + 2.62627i −0.0739978 + 0.0940959i
\(780\) 5.44685 + 2.80805i 0.195029 + 0.100544i
\(781\) −0.934032 + 0.539264i −0.0334223 + 0.0192964i
\(782\) 5.94085 + 23.6269i 0.212444 + 0.844898i
\(783\) 15.0066i 0.536292i
\(784\) 6.69880 2.03128i 0.239243 0.0725457i
\(785\) 8.50030 59.1209i 0.303389 2.11011i
\(786\) −2.08503 2.92802i −0.0743707 0.104439i
\(787\) −20.7147 19.7515i −0.738401 0.704064i 0.224334 0.974512i \(-0.427979\pi\)
−0.962734 + 0.270449i \(0.912828\pi\)
\(788\) −3.62020 + 5.08385i −0.128964 + 0.181105i
\(789\) −2.81084 + 0.541744i −0.100068 + 0.0192866i
\(790\) −17.3735 + 2.49794i −0.618123 + 0.0888727i
\(791\) −3.13872 4.36684i −0.111600 0.155267i
\(792\) −0.192247 0.166583i −0.00683120 0.00591927i
\(793\) −18.1480 35.2023i −0.644456 1.25007i
\(794\) −0.918004 0.0437299i −0.0325787 0.00155192i
\(795\) −10.1665 1.95944i −0.360570 0.0694942i
\(796\) −1.32809 + 1.26633i −0.0470728 + 0.0448838i
\(797\) 5.10643 + 35.5160i 0.180879 + 1.25804i 0.854691 + 0.519138i \(0.173747\pi\)
−0.673812 + 0.738903i \(0.735344\pi\)
\(798\) 0.628578 + 0.320554i 0.0222514 + 0.0113475i
\(799\) −53.2688 + 24.3270i −1.88451 + 0.860628i
\(800\) 2.64925 10.9204i 0.0936653 0.386094i
\(801\) 49.2268 4.70059i 1.73934 0.166087i
\(802\) −6.52627 16.3018i −0.230450 0.575637i
\(803\) 0.0155998 + 0.327481i 0.000550506 + 0.0115566i
\(804\) −2.36492 −0.0834042
\(805\) −41.2671 + 30.1862i −1.45447 + 1.06392i
\(806\) 5.06123 0.178274
\(807\) −0.0896090 1.88112i −0.00315439 0.0662187i
\(808\) 1.71249 + 4.27760i 0.0602453 + 0.150486i
\(809\) −32.1654 + 3.07143i −1.13088 + 0.107986i −0.643671 0.765302i \(-0.722590\pi\)
−0.487205 + 0.873288i \(0.661984\pi\)
\(810\) 7.66869 31.6108i 0.269450 1.11069i
\(811\) −3.25743 + 1.48762i −0.114384 + 0.0522374i −0.471785 0.881714i \(-0.656390\pi\)
0.357401 + 0.933951i \(0.383663\pi\)
\(812\) 11.3517 + 17.4935i 0.398366 + 0.613902i
\(813\) −1.11835 7.77832i −0.0392224 0.272797i
\(814\) −0.122832 + 0.117120i −0.00430527 + 0.00410507i
\(815\) −38.4721 7.41488i −1.34762 0.259732i
\(816\) 1.63860 + 0.0780560i 0.0573624 + 0.00273251i
\(817\) 2.09054 + 4.05509i 0.0731389 + 0.141870i
\(818\) 11.8067 + 10.2306i 0.412812 + 0.357704i
\(819\) 35.9011 3.58795i 1.25449 0.125373i
\(820\) −16.1362 + 2.32003i −0.563500 + 0.0810190i
\(821\) 39.2060 7.55633i 1.36830 0.263718i 0.548394 0.836220i \(-0.315239\pi\)
0.819903 + 0.572502i \(0.194027\pi\)
\(822\) 1.33702 1.87759i 0.0466340 0.0654883i
\(823\) 1.36132 + 1.29802i 0.0474527 + 0.0452461i 0.713434 0.700722i \(-0.247139\pi\)
−0.665982 + 0.745968i \(0.731987\pi\)
\(824\) −0.108990 0.153054i −0.00379683 0.00533191i
\(825\) 0.0453670 0.315534i 0.00157948 0.0109855i
\(826\) −27.9150 2.54140i −0.971286 0.0884266i
\(827\) 25.2498i 0.878023i 0.898482 + 0.439011i \(0.144671\pi\)
−0.898482 + 0.439011i \(0.855329\pi\)
\(828\) −13.8130 + 1.43529i −0.480035 + 0.0498799i
\(829\) 30.0838 17.3689i 1.04485 0.603246i 0.123649 0.992326i \(-0.460540\pi\)
0.921204 + 0.389080i \(0.127207\pi\)
\(830\) 23.9077 + 12.3253i 0.829850 + 0.427817i
\(831\) −2.93865 + 3.73679i −0.101941 + 0.129628i
\(832\) 4.28378 + 1.95634i 0.148513 + 0.0678237i
\(833\) 17.5074 30.9509i 0.606596 1.07239i
\(834\) −0.253571 0.555244i −0.00878046 0.0192265i
\(835\) −14.5549 75.5182i −0.503695 2.61342i
\(836\) −0.0448461 0.0570264i −0.00155103 0.00197230i
\(837\) 0.482401 + 1.98848i 0.0166742 + 0.0687321i
\(838\) 5.19799 + 15.0186i 0.179562 + 0.518809i
\(839\) −4.46525 2.86964i −0.154157 0.0990710i 0.461288 0.887250i \(-0.347387\pi\)
−0.615445 + 0.788179i \(0.711024\pi\)
\(840\) 1.14036 + 3.24845i 0.0393463 + 0.112082i
\(841\) −21.6931 + 25.0351i −0.748037 + 0.863281i
\(842\) 6.92318 + 7.26082i 0.238588 + 0.250224i
\(843\) −7.03963 + 5.53602i −0.242458 + 0.190671i
\(844\) 0.745039 2.15265i 0.0256453 0.0740973i
\(845\) 36.8155 + 3.51546i 1.26649 + 0.120935i
\(846\) −9.40468 32.0294i −0.323339 1.10119i
\(847\) 29.0557 + 1.25571i 0.998367 + 0.0431468i
\(848\) −7.87567 1.13235i −0.270452 0.0388851i
\(849\) −6.73786 + 0.320964i −0.231243 + 0.0110155i
\(850\) −28.5418 49.4359i −0.978976 1.69564i
\(851\) 0.0772514 + 9.26524i 0.00264814 + 0.317608i
\(852\) 3.43356 + 1.98237i 0.117632 + 0.0679147i
\(853\) 4.70309 + 7.31815i 0.161031 + 0.250569i 0.912388 0.409327i \(-0.134237\pi\)
−0.751357 + 0.659896i \(0.770600\pi\)
\(854\) 6.17446 21.3765i 0.211286 0.731489i
\(855\) 4.00305 8.76546i 0.136901 0.299772i
\(856\) −5.77436 1.40084i −0.197363 0.0478799i
\(857\) 35.8697 + 25.5427i 1.22529 + 0.872522i 0.994928 0.100585i \(-0.0320713\pi\)
0.230357 + 0.973106i \(0.426011\pi\)
\(858\) 0.126249 + 0.0436952i 0.00431006 + 0.00149173i
\(859\) −12.3659 + 30.8886i −0.421920 + 1.05390i 0.553362 + 0.832941i \(0.313345\pi\)
−0.975282 + 0.220964i \(0.929080\pi\)
\(860\) −6.27151 + 21.3588i −0.213857 + 0.728330i
\(861\) 2.60230 2.27507i 0.0886862 0.0775343i
\(862\) −8.61924 + 13.4118i −0.293572 + 0.456808i
\(863\) −24.8906 + 12.8320i −0.847286 + 0.436806i −0.826472 0.562977i \(-0.809656\pi\)
−0.0208132 + 0.999783i \(0.506626\pi\)
\(864\) −0.360316 + 1.86950i −0.0122582 + 0.0636016i
\(865\) 4.66335 1.13132i 0.158559 0.0384659i
\(866\) −5.30162 2.12245i −0.180156 0.0721238i
\(867\) 2.14901 1.86213i 0.0729843 0.0632413i
\(868\) 2.06653 + 1.95311i 0.0701425 + 0.0662927i
\(869\) −0.367151 + 0.107805i −0.0124547 + 0.00365704i
\(870\) −8.35472 + 5.94937i −0.283252 + 0.201703i
\(871\) −32.0176 + 12.8179i −1.08487 + 0.434318i
\(872\) 6.58914 12.7812i 0.223136 0.432824i
\(873\) 4.99088 8.64446i 0.168916 0.292571i
\(874\) −3.94568 0.343595i −0.133465 0.0116223i
\(875\) 40.8736 52.4493i 1.38178 1.77311i
\(876\) 1.01388 0.651583i 0.0342559 0.0220149i
\(877\) 24.9252 + 19.6014i 0.841665 + 0.661892i 0.942939 0.332966i \(-0.108049\pi\)
−0.101274 + 0.994859i \(0.532292\pi\)
\(878\) 3.25797 + 34.1190i 0.109951 + 1.15146i
\(879\) −2.40883 + 2.52630i −0.0812477 + 0.0852101i
\(880\) 0.0336481 0.352379i 0.00113428 0.0118787i
\(881\) 21.2449 + 24.5180i 0.715760 + 0.826031i 0.990790 0.135404i \(-0.0432333\pi\)
−0.275030 + 0.961436i \(0.588688\pi\)
\(882\) 16.0432 + 12.3891i 0.540202 + 0.417163i
\(883\) 28.6756 + 8.41993i 0.965012 + 0.283353i 0.726024 0.687669i \(-0.241366\pi\)
0.238988 + 0.971023i \(0.423184\pi\)
\(884\) 22.6073 7.82447i 0.760367 0.263165i
\(885\) 0.655972 13.7705i 0.0220503 0.462892i
\(886\) −0.288391 + 6.05407i −0.00968868 + 0.203390i
\(887\) 0.253965 0.0878981i 0.00852731 0.00295133i −0.322801 0.946467i \(-0.604624\pi\)
0.331328 + 0.943516i \(0.392503\pi\)
\(888\) 0.598629 + 0.175773i 0.0200887 + 0.00589857i
\(889\) −30.0689 17.1840i −1.00848 0.576332i
\(890\) 45.0630 + 52.0054i 1.51051 + 1.74323i
\(891\) 0.0674069 0.705917i 0.00225821 0.0236491i
\(892\) 15.4434 16.1966i 0.517084 0.542302i
\(893\) −0.904959 9.47716i −0.0302833 0.317141i
\(894\) −1.02393 0.805224i −0.0342452 0.0269307i
\(895\) 84.8624 54.5378i 2.83664 1.82300i
\(896\) 0.994147 + 2.45187i 0.0332121 + 0.0819113i
\(897\) 6.45459 3.39599i 0.215513 0.113389i
\(898\) −15.8612 + 27.4724i −0.529295 + 0.916766i
\(899\) −3.88162 + 7.52929i −0.129459 + 0.251116i
\(900\) 30.2087 12.0937i 1.00696 0.403124i
\(901\) −32.9244 + 23.4454i −1.09687 + 0.781079i
\(902\) −0.341002 + 0.100127i −0.0113541 + 0.00333387i
\(903\) −1.34972 4.52286i −0.0449159 0.150511i
\(904\) 1.53615 1.33109i 0.0510917 0.0442712i
\(905\) −29.5085 11.8134i −0.980894 0.392691i
\(906\) 3.73178 0.905320i 0.123980 0.0300772i
\(907\) 2.49844 12.9631i 0.0829594 0.430434i −0.916573 0.399867i \(-0.869056\pi\)
0.999533 0.0305675i \(-0.00973146\pi\)
\(908\) 12.9278 6.66472i 0.429023 0.221177i
\(909\) −7.21349 + 11.2244i −0.239256 + 0.372290i
\(910\) 33.0456 + 37.7986i 1.09545 + 1.25301i
\(911\) 12.4044 42.2454i 0.410975 1.39965i −0.450919 0.892565i \(-0.648904\pi\)
0.861894 0.507088i \(-0.169278\pi\)
\(912\) −0.0991186 + 0.247586i −0.00328215 + 0.00819840i
\(913\) 0.554141 + 0.191790i 0.0183394 + 0.00634733i
\(914\) −24.6385 17.5450i −0.814970 0.580337i
\(915\) 10.6349 + 2.58000i 0.351579 + 0.0852921i
\(916\) −8.74722 + 19.1537i −0.289016 + 0.632857i
\(917\) −7.06920 28.5888i −0.233445 0.944087i
\(918\) 5.22889 + 8.13631i 0.172579 + 0.268538i
\(919\) 37.5258 + 21.6655i 1.23786 + 0.714680i 0.968657 0.248403i \(-0.0799056\pi\)
0.269205 + 0.963083i \(0.413239\pi\)
\(920\) −12.7765 14.4988i −0.421228 0.478012i
\(921\) −1.26914 2.19822i −0.0418197 0.0724338i
\(922\) −32.8527 + 1.56497i −1.08195 + 0.0515394i
\(923\) 57.2299 + 8.22842i 1.88375 + 0.270842i
\(924\) 0.0346863 + 0.0665598i 0.00114110 + 0.00218966i
\(925\) −6.11646 20.8308i −0.201108 0.684911i
\(926\) 16.0262 + 1.53032i 0.526653 + 0.0502893i
\(927\) 0.177954 0.514165i 0.00584479 0.0168874i
\(928\) −6.19569 + 4.87234i −0.203383 + 0.159942i
\(929\) 23.4539 + 24.5977i 0.769497 + 0.807025i 0.985555 0.169355i \(-0.0541685\pi\)
−0.216058 + 0.976381i \(0.569320\pi\)
\(930\) −0.915813 + 1.05691i −0.0300307 + 0.0346573i
\(931\) 3.82407 + 4.33537i 0.125329 + 0.142086i
\(932\) 11.9058 + 7.65138i 0.389987 + 0.250629i
\(933\) −3.67531 10.6191i −0.120324 0.347654i
\(934\) −8.56797 35.3176i −0.280352 1.15563i
\(935\) −1.11157 1.41348i −0.0363522 0.0462256i
\(936\) 2.58081 + 13.3905i 0.0843564 + 0.437682i
\(937\) −5.58247 12.2239i −0.182371 0.399338i 0.796262 0.604952i \(-0.206808\pi\)
−0.978633 + 0.205615i \(0.934081\pi\)
\(938\) −18.0193 7.12182i −0.588352 0.232536i
\(939\) 0.621407 + 0.283787i 0.0202788 + 0.00926104i
\(940\) 28.7148 36.5138i 0.936573 1.19095i
\(941\) −2.61926 1.35032i −0.0853854 0.0440192i 0.415005 0.909819i \(-0.363780\pi\)
−0.500390 + 0.865800i \(0.666810\pi\)
\(942\) −4.14542 + 2.39336i −0.135065 + 0.0779798i
\(943\) −8.74655 + 17.3190i −0.284827 + 0.563983i
\(944\) 10.5945i 0.344822i
\(945\) −11.7008 + 16.5858i −0.380629 + 0.539537i
\(946\) −0.0690648 + 0.480356i −0.00224549 + 0.0156177i
\(947\) 4.62565 + 6.49582i 0.150313 + 0.211086i 0.882866 0.469625i \(-0.155611\pi\)
−0.732553 + 0.680710i \(0.761671\pi\)
\(948\) 1.01804 + 0.970698i 0.0330644 + 0.0315268i
\(949\) 10.1949 14.3168i 0.330941 0.464742i
\(950\) 9.11242 1.75627i 0.295646 0.0569811i
\(951\) −1.71963 + 0.247246i −0.0557629 + 0.00801750i
\(952\) 12.2501 + 5.52929i 0.397028 + 0.179205i
\(953\) −3.95720 3.42893i −0.128186 0.111074i 0.588408 0.808564i \(-0.299755\pi\)
−0.716595 + 0.697490i \(0.754300\pi\)
\(954\) −10.5576 20.4790i −0.341816 0.663031i
\(955\) 69.0228 + 3.28796i 2.23353 + 0.106396i
\(956\) −12.4496 2.39947i −0.402650 0.0776044i
\(957\) −0.161827 + 0.154302i −0.00523112 + 0.00498786i
\(958\) 3.08365 + 21.4473i 0.0996282 + 0.692929i
\(959\) 15.8416 10.2798i 0.511552 0.331951i
\(960\) −1.18366 + 0.540562i −0.0382026 + 0.0174465i
\(961\) 7.03622 29.0037i 0.226975 0.935603i
\(962\) 9.05728 0.864865i 0.292018 0.0278844i
\(963\) −6.39479 15.9734i −0.206069 0.514736i
\(964\) 0.744535 + 15.6297i 0.0239799 + 0.503399i
\(965\) −89.7908 −2.89047
\(966\) 3.94594 + 1.10420i 0.126958 + 0.0355270i
\(967\) 11.9955 0.385750 0.192875 0.981223i \(-0.438219\pi\)
0.192875 + 0.981223i \(0.438219\pi\)
\(968\) 0.523034 + 10.9798i 0.0168109 + 0.352905i
\(969\) 0.503514 + 1.25772i 0.0161752 + 0.0404037i
\(970\) 13.8272 1.32034i 0.443965 0.0423936i
\(971\) −11.2466 + 46.3591i −0.360920 + 1.48773i 0.444903 + 0.895579i \(0.353238\pi\)
−0.805824 + 0.592156i \(0.798277\pi\)
\(972\) −7.56678 + 3.45563i −0.242704 + 0.110839i
\(973\) −0.259982 4.99426i −0.00833464 0.160109i
\(974\) −0.141080 0.981234i −0.00452050 0.0314408i
\(975\) −12.3681 + 11.7930i −0.396097 + 0.377678i
\(976\) 8.25787 + 1.59157i 0.264328 + 0.0509451i
\(977\) 9.92063 + 0.472578i 0.317389 + 0.0151191i 0.205672 0.978621i \(-0.434062\pi\)
0.111717 + 0.993740i \(0.464365\pi\)
\(978\) 1.43880 + 2.79088i 0.0460076 + 0.0892424i
\(979\) 1.13376 + 0.982406i 0.0362350 + 0.0313978i
\(980\) −1.09362 + 28.1855i −0.0349343 + 0.900353i
\(981\) 41.2156 5.92591i 1.31591 0.189200i
\(982\) −23.1544 + 4.46265i −0.738887 + 0.142409i
\(983\) 29.4982 41.4244i 0.940846 1.32123i −0.00614709 0.999981i \(-0.501957\pi\)
0.946993 0.321253i \(-0.104104\pi\)
\(984\) 0.945532 + 0.901563i 0.0301425 + 0.0287408i
\(985\) −14.5877 20.4856i −0.464803 0.652724i
\(986\) −5.69828 + 39.6324i −0.181470 + 1.26215i
\(987\) −0.893000 + 9.80880i −0.0284245 + 0.312217i
\(988\) 3.88919i 0.123732i
\(989\) 16.5505 + 20.6883i 0.526274 + 0.657849i
\(990\) 0.887702 0.512515i 0.0282130 0.0162888i
\(991\) −26.1915 13.5027i −0.832001 0.428926i −0.0110596 0.999939i \(-0.503520\pi\)
−0.820941 + 0.571013i \(0.806551\pi\)
\(992\) −0.664348 + 0.844787i −0.0210931 + 0.0268220i
\(993\) 5.06211 + 2.31179i 0.160641 + 0.0733624i
\(994\) 20.1920 + 25.4445i 0.640450 + 0.807050i
\(995\) −3.07174 6.72617i −0.0973807 0.213234i
\(996\) −0.407952 2.11666i −0.0129265 0.0670689i
\(997\) −10.5370 13.3989i −0.333711 0.424348i 0.590021 0.807388i \(-0.299120\pi\)
−0.923732 + 0.383040i \(0.874877\pi\)
\(998\) −5.71084 23.5404i −0.180774 0.745159i
\(999\) 1.20307 + 3.47604i 0.0380634 + 0.109977i
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 322.2.o.b.103.4 160
7.3 odd 6 inner 322.2.o.b.241.5 yes 160
23.21 odd 22 inner 322.2.o.b.159.5 yes 160
161.136 even 66 inner 322.2.o.b.297.4 yes 160
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
322.2.o.b.103.4 160 1.1 even 1 trivial
322.2.o.b.159.5 yes 160 23.21 odd 22 inner
322.2.o.b.241.5 yes 160 7.3 odd 6 inner
322.2.o.b.297.4 yes 160 161.136 even 66 inner