Properties

Label 170.2.r.b.37.4
Level $170$
Weight $2$
Character 170.37
Analytic conductor $1.357$
Analytic rank $0$
Dimension $40$
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] = [170,2,Mod(23,170)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(170, base_ring=CyclotomicField(16))
 
chi = DirichletCharacter(H, H._module([12, 15]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("170.23");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 170 = 2 \cdot 5 \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 170.r (of order \(16\), degree \(8\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(1.35745683436\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(5\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 37.4
Character \(\chi\) \(=\) 170.37
Dual form 170.2.r.b.23.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.923880 + 0.382683i) q^{2} +(1.41027 - 0.942312i) q^{3} +(0.707107 + 0.707107i) q^{4} +(2.21673 + 0.293448i) q^{5} +(1.66353 - 0.330896i) q^{6} +(-5.02568 + 0.999670i) q^{7} +(0.382683 + 0.923880i) q^{8} +(-0.0471409 + 0.113808i) q^{9} +O(q^{10})\) \(q+(0.923880 + 0.382683i) q^{2} +(1.41027 - 0.942312i) q^{3} +(0.707107 + 0.707107i) q^{4} +(2.21673 + 0.293448i) q^{5} +(1.66353 - 0.330896i) q^{6} +(-5.02568 + 0.999670i) q^{7} +(0.382683 + 0.923880i) q^{8} +(-0.0471409 + 0.113808i) q^{9} +(1.93569 + 1.11942i) q^{10} +(-0.999543 - 5.02504i) q^{11} +(1.66353 + 0.330896i) q^{12} -3.13814 q^{13} +(-5.02568 - 0.999670i) q^{14} +(3.40271 - 1.67501i) q^{15} +1.00000i q^{16} +(3.59411 + 2.02049i) q^{17} +(-0.0871050 + 0.0871050i) q^{18} +(-0.297551 - 0.718351i) q^{19} +(1.35996 + 1.77496i) q^{20} +(-6.14557 + 6.14557i) q^{21} +(0.999543 - 5.02504i) q^{22} +(0.327245 - 0.489757i) q^{23} +(1.41027 + 0.942312i) q^{24} +(4.82778 + 1.30099i) q^{25} +(-2.89926 - 1.20091i) q^{26} +(1.03345 + 5.19550i) q^{27} +(-4.26057 - 2.84682i) q^{28} +(-1.78058 - 2.66483i) q^{29} +(3.78469 - 0.245348i) q^{30} +(-0.00940187 + 0.0472664i) q^{31} +(-0.382683 + 0.923880i) q^{32} +(-6.14479 - 6.14479i) q^{33} +(2.54732 + 3.24209i) q^{34} +(-11.4339 + 0.741221i) q^{35} +(-0.113808 + 0.0471409i) q^{36} +(-1.22409 - 1.83197i) q^{37} -0.777538i q^{38} +(-4.42562 + 2.95711i) q^{39} +(0.577195 + 2.16029i) q^{40} +(0.774342 - 1.15889i) q^{41} +(-8.02957 + 3.32596i) q^{42} +(2.55893 - 1.05995i) q^{43} +(2.84646 - 4.26003i) q^{44} +(-0.137895 + 0.238448i) q^{45} +(0.489757 - 0.327245i) q^{46} +1.90169i q^{47} +(0.942312 + 1.41027i) q^{48} +(17.7910 - 7.36927i) q^{49} +(3.96242 + 3.04947i) q^{50} +(6.97260 - 0.537342i) q^{51} +(-2.21900 - 2.21900i) q^{52} +(-4.43093 + 10.6972i) q^{53} +(-1.03345 + 5.19550i) q^{54} +(-0.741126 - 11.4325i) q^{55} +(-2.84682 - 4.26057i) q^{56} +(-1.09654 - 0.732684i) q^{57} +(-0.625257 - 3.14338i) q^{58} +(2.75861 + 1.14265i) q^{59} +(3.59049 + 1.22167i) q^{60} +(-8.20282 - 5.48095i) q^{61} +(-0.0267743 + 0.0400705i) q^{62} +(0.123144 - 0.619089i) q^{63} +(-0.707107 + 0.707107i) q^{64} +(-6.95641 - 0.920882i) q^{65} +(-3.32553 - 8.02855i) q^{66} +(-7.07294 + 7.07294i) q^{67} +(1.11272 + 3.97012i) q^{68} -0.999058i q^{69} +(-10.8472 - 3.69078i) q^{70} +(7.55981 + 1.50374i) q^{71} -0.123185 q^{72} +(7.03510 + 1.39937i) q^{73} +(-0.429842 - 2.16096i) q^{74} +(8.03441 - 2.71453i) q^{75} +(0.297551 - 0.718351i) q^{76} +(10.0468 + 24.2551i) q^{77} +(-5.22038 + 1.03840i) q^{78} +(9.46534 - 1.88277i) q^{79} +(-0.293448 + 2.21673i) q^{80} +(6.09192 + 6.09192i) q^{81} +(1.15889 - 0.774342i) q^{82} +(-15.6672 - 6.48955i) q^{83} -8.69115 q^{84} +(7.37426 + 5.53356i) q^{85} +2.76977 q^{86} +(-5.02220 - 2.08026i) q^{87} +(4.26003 - 2.84646i) q^{88} +(5.07441 + 5.07441i) q^{89} +(-0.218649 + 0.167527i) q^{90} +(15.7713 - 3.13711i) q^{91} +(0.577708 - 0.114913i) q^{92} +(0.0312805 + 0.0755179i) q^{93} +(-0.727743 + 1.75693i) q^{94} +(-0.448791 - 1.67971i) q^{95} +(0.330896 + 1.66353i) q^{96} +(1.77649 + 0.353366i) q^{97} +19.2568 q^{98} +(0.619010 + 0.123129i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40 q+O(q^{10}) \) Copy content Toggle raw display \( 40 q - 16 q^{10} - 16 q^{18} + 8 q^{25} - 8 q^{26} + 24 q^{27} - 8 q^{28} + 8 q^{29} + 16 q^{30} - 16 q^{31} - 32 q^{33} + 8 q^{34} - 32 q^{35} - 32 q^{39} - 56 q^{41} - 24 q^{42} + 16 q^{43} + 16 q^{44} + 24 q^{45} + 16 q^{49} - 32 q^{51} - 16 q^{52} + 16 q^{53} - 24 q^{54} - 8 q^{55} - 8 q^{56} - 120 q^{57} + 16 q^{58} + 8 q^{60} + 24 q^{61} - 8 q^{62} - 24 q^{63} - 32 q^{65} + 16 q^{67} - 8 q^{70} + 24 q^{71} + 56 q^{72} + 88 q^{73} + 32 q^{74} + 8 q^{75} + 24 q^{77} + 32 q^{78} - 104 q^{79} + 8 q^{80} + 48 q^{81} + 16 q^{82} + 16 q^{83} + 136 q^{85} + 96 q^{86} + 136 q^{87} - 16 q^{89} + 24 q^{90} + 48 q^{91} - 8 q^{92} - 8 q^{93} - 8 q^{94} - 136 q^{95} + 16 q^{97} + 72 q^{98} + 160 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/170\mathbb{Z}\right)^\times\).

\(n\) \(71\) \(137\)
\(\chi(n)\) \(e\left(\frac{1}{16}\right)\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.923880 + 0.382683i 0.653281 + 0.270598i
\(3\) 1.41027 0.942312i 0.814220 0.544044i −0.0773095 0.997007i \(-0.524633\pi\)
0.891529 + 0.452963i \(0.149633\pi\)
\(4\) 0.707107 + 0.707107i 0.353553 + 0.353553i
\(5\) 2.21673 + 0.293448i 0.991351 + 0.131234i
\(6\) 1.66353 0.330896i 0.679132 0.135088i
\(7\) −5.02568 + 0.999670i −1.89953 + 0.377840i −0.998442 0.0557977i \(-0.982230\pi\)
−0.901087 + 0.433638i \(0.857230\pi\)
\(8\) 0.382683 + 0.923880i 0.135299 + 0.326641i
\(9\) −0.0471409 + 0.113808i −0.0157136 + 0.0379360i
\(10\) 1.93569 + 1.11942i 0.612120 + 0.353991i
\(11\) −0.999543 5.02504i −0.301374 1.51511i −0.773625 0.633643i \(-0.781559\pi\)
0.472252 0.881464i \(-0.343441\pi\)
\(12\) 1.66353 + 0.330896i 0.480219 + 0.0955215i
\(13\) −3.13814 −0.870363 −0.435182 0.900343i \(-0.643316\pi\)
−0.435182 + 0.900343i \(0.643316\pi\)
\(14\) −5.02568 0.999670i −1.34317 0.267173i
\(15\) 3.40271 1.67501i 0.878575 0.432486i
\(16\) 1.00000i 0.250000i
\(17\) 3.59411 + 2.02049i 0.871700 + 0.490040i
\(18\) −0.0871050 + 0.0871050i −0.0205308 + 0.0205308i
\(19\) −0.297551 0.718351i −0.0682628 0.164801i 0.886066 0.463559i \(-0.153428\pi\)
−0.954329 + 0.298758i \(0.903428\pi\)
\(20\) 1.35996 + 1.77496i 0.304097 + 0.396894i
\(21\) −6.14557 + 6.14557i −1.34107 + 1.34107i
\(22\) 0.999543 5.02504i 0.213103 1.07134i
\(23\) 0.327245 0.489757i 0.0682354 0.102121i −0.795783 0.605582i \(-0.792940\pi\)
0.864018 + 0.503461i \(0.167940\pi\)
\(24\) 1.41027 + 0.942312i 0.287870 + 0.192349i
\(25\) 4.82778 + 1.30099i 0.965555 + 0.260198i
\(26\) −2.89926 1.20091i −0.568592 0.235519i
\(27\) 1.03345 + 5.19550i 0.198888 + 0.999875i
\(28\) −4.26057 2.84682i −0.805172 0.537999i
\(29\) −1.78058 2.66483i −0.330646 0.494846i 0.628480 0.777826i \(-0.283677\pi\)
−0.959126 + 0.282979i \(0.908677\pi\)
\(30\) 3.78469 0.245348i 0.690987 0.0447942i
\(31\) −0.00940187 + 0.0472664i −0.00168863 + 0.00848929i −0.981620 0.190844i \(-0.938878\pi\)
0.979932 + 0.199333i \(0.0638776\pi\)
\(32\) −0.382683 + 0.923880i −0.0676495 + 0.163320i
\(33\) −6.14479 6.14479i −1.06967 1.06967i
\(34\) 2.54732 + 3.24209i 0.436861 + 0.556014i
\(35\) −11.4339 + 0.741221i −1.93269 + 0.125289i
\(36\) −0.113808 + 0.0471409i −0.0189680 + 0.00785681i
\(37\) −1.22409 1.83197i −0.201239 0.301175i 0.717100 0.696970i \(-0.245469\pi\)
−0.918339 + 0.395795i \(0.870469\pi\)
\(38\) 0.777538i 0.126133i
\(39\) −4.42562 + 2.95711i −0.708667 + 0.473516i
\(40\) 0.577195 + 2.16029i 0.0912625 + 0.341572i
\(41\) 0.774342 1.15889i 0.120932 0.180987i −0.766064 0.642764i \(-0.777788\pi\)
0.886996 + 0.461776i \(0.152788\pi\)
\(42\) −8.02957 + 3.32596i −1.23899 + 0.513206i
\(43\) 2.55893 1.05995i 0.390234 0.161640i −0.178935 0.983861i \(-0.557265\pi\)
0.569169 + 0.822221i \(0.307265\pi\)
\(44\) 2.84646 4.26003i 0.429120 0.642223i
\(45\) −0.137895 + 0.238448i −0.0205562 + 0.0355458i
\(46\) 0.489757 0.327245i 0.0722108 0.0482497i
\(47\) 1.90169i 0.277389i 0.990335 + 0.138695i \(0.0442907\pi\)
−0.990335 + 0.138695i \(0.955709\pi\)
\(48\) 0.942312 + 1.41027i 0.136011 + 0.203555i
\(49\) 17.7910 7.36927i 2.54157 1.05275i
\(50\) 3.96242 + 3.04947i 0.560370 + 0.431260i
\(51\) 6.97260 0.537342i 0.976359 0.0752429i
\(52\) −2.21900 2.21900i −0.307720 0.307720i
\(53\) −4.43093 + 10.6972i −0.608635 + 1.46937i 0.255850 + 0.966716i \(0.417645\pi\)
−0.864485 + 0.502658i \(0.832355\pi\)
\(54\) −1.03345 + 5.19550i −0.140635 + 0.707018i
\(55\) −0.741126 11.4325i −0.0999334 1.54155i
\(56\) −2.84682 4.26057i −0.380422 0.569342i
\(57\) −1.09654 0.732684i −0.145240 0.0970463i
\(58\) −0.625257 3.14338i −0.0821003 0.412746i
\(59\) 2.75861 + 1.14265i 0.359140 + 0.148761i 0.554955 0.831880i \(-0.312735\pi\)
−0.195815 + 0.980641i \(0.562735\pi\)
\(60\) 3.59049 + 1.22167i 0.463530 + 0.157716i
\(61\) −8.20282 5.48095i −1.05026 0.701764i −0.0943882 0.995535i \(-0.530089\pi\)
−0.955876 + 0.293772i \(0.905089\pi\)
\(62\) −0.0267743 + 0.0400705i −0.00340033 + 0.00508896i
\(63\) 0.123144 0.619089i 0.0155147 0.0779979i
\(64\) −0.707107 + 0.707107i −0.0883883 + 0.0883883i
\(65\) −6.95641 0.920882i −0.862836 0.114221i
\(66\) −3.32553 8.02855i −0.409345 0.988246i
\(67\) −7.07294 + 7.07294i −0.864097 + 0.864097i −0.991811 0.127714i \(-0.959236\pi\)
0.127714 + 0.991811i \(0.459236\pi\)
\(68\) 1.11272 + 3.97012i 0.134937 + 0.481448i
\(69\) 0.999058i 0.120272i
\(70\) −10.8472 3.69078i −1.29649 0.441132i
\(71\) 7.55981 + 1.50374i 0.897184 + 0.178461i 0.622080 0.782953i \(-0.286288\pi\)
0.275104 + 0.961414i \(0.411288\pi\)
\(72\) −0.123185 −0.0145175
\(73\) 7.03510 + 1.39937i 0.823397 + 0.163784i 0.588769 0.808302i \(-0.299613\pi\)
0.234628 + 0.972085i \(0.424613\pi\)
\(74\) −0.429842 2.16096i −0.0499681 0.251207i
\(75\) 8.03441 2.71453i 0.927734 0.313446i
\(76\) 0.297551 0.718351i 0.0341314 0.0824005i
\(77\) 10.0468 + 24.2551i 1.14494 + 2.76412i
\(78\) −5.22038 + 1.03840i −0.591092 + 0.117575i
\(79\) 9.46534 1.88277i 1.06493 0.211829i 0.368630 0.929576i \(-0.379827\pi\)
0.696303 + 0.717747i \(0.254827\pi\)
\(80\) −0.293448 + 2.21673i −0.0328085 + 0.247838i
\(81\) 6.09192 + 6.09192i 0.676880 + 0.676880i
\(82\) 1.15889 0.774342i 0.127977 0.0855118i
\(83\) −15.6672 6.48955i −1.71969 0.712321i −0.999834 0.0182010i \(-0.994206\pi\)
−0.719860 0.694120i \(-0.755794\pi\)
\(84\) −8.69115 −0.948282
\(85\) 7.37426 + 5.53356i 0.799851 + 0.600199i
\(86\) 2.76977 0.298672
\(87\) −5.02220 2.08026i −0.538437 0.223028i
\(88\) 4.26003 2.84646i 0.454120 0.303433i
\(89\) 5.07441 + 5.07441i 0.537886 + 0.537886i 0.922908 0.385022i \(-0.125806\pi\)
−0.385022 + 0.922908i \(0.625806\pi\)
\(90\) −0.218649 + 0.167527i −0.0230476 + 0.0176589i
\(91\) 15.7713 3.13711i 1.65328 0.328858i
\(92\) 0.577708 0.114913i 0.0602302 0.0119805i
\(93\) 0.0312805 + 0.0755179i 0.00324364 + 0.00783084i
\(94\) −0.727743 + 1.75693i −0.0750610 + 0.181213i
\(95\) −0.448791 1.67971i −0.0460450 0.172334i
\(96\) 0.330896 + 1.66353i 0.0337719 + 0.169783i
\(97\) 1.77649 + 0.353366i 0.180375 + 0.0358789i 0.284451 0.958690i \(-0.408189\pi\)
−0.104076 + 0.994569i \(0.533189\pi\)
\(98\) 19.2568 1.94523
\(99\) 0.619010 + 0.123129i 0.0622128 + 0.0123749i
\(100\) 2.49381 + 4.33369i 0.249381 + 0.433369i
\(101\) 3.59573i 0.357789i −0.983868 0.178894i \(-0.942748\pi\)
0.983868 0.178894i \(-0.0572520\pi\)
\(102\) 6.64747 + 2.17186i 0.658198 + 0.215046i
\(103\) 7.28280 7.28280i 0.717596 0.717596i −0.250516 0.968112i \(-0.580600\pi\)
0.968112 + 0.250516i \(0.0806004\pi\)
\(104\) −1.20091 2.89926i −0.117759 0.284296i
\(105\) −15.4265 + 11.8197i −1.50547 + 1.15348i
\(106\) −8.18729 + 8.18729i −0.795220 + 0.795220i
\(107\) 2.50491 12.5930i 0.242159 1.21742i −0.647956 0.761678i \(-0.724376\pi\)
0.890114 0.455737i \(-0.150624\pi\)
\(108\) −2.94302 + 4.40453i −0.283192 + 0.423827i
\(109\) −1.52870 1.02144i −0.146423 0.0978365i 0.480201 0.877158i \(-0.340564\pi\)
−0.626624 + 0.779322i \(0.715564\pi\)
\(110\) 3.69031 10.8458i 0.351857 1.03411i
\(111\) −3.45259 1.43011i −0.327705 0.135740i
\(112\) −0.999670 5.02568i −0.0944600 0.474882i
\(113\) 7.83031 + 5.23205i 0.736614 + 0.492190i 0.866399 0.499352i \(-0.166429\pi\)
−0.129785 + 0.991542i \(0.541429\pi\)
\(114\) −0.732684 1.09654i −0.0686221 0.102700i
\(115\) 0.869133 0.989630i 0.0810471 0.0922835i
\(116\) 0.625257 3.14338i 0.0580537 0.291856i
\(117\) 0.147935 0.357146i 0.0136766 0.0330181i
\(118\) 2.11135 + 2.11135i 0.194365 + 0.194365i
\(119\) −20.0827 6.56140i −1.84098 0.601483i
\(120\) 2.84967 + 2.50269i 0.260138 + 0.228464i
\(121\) −14.0893 + 5.83597i −1.28084 + 0.530543i
\(122\) −5.48095 8.20282i −0.496222 0.742649i
\(123\) 2.36401i 0.213156i
\(124\) −0.0400705 + 0.0267743i −0.00359844 + 0.00240440i
\(125\) 10.3201 + 4.30065i 0.923058 + 0.384662i
\(126\) 0.350686 0.524838i 0.0312416 0.0467563i
\(127\) −1.26783 + 0.525151i −0.112501 + 0.0465996i −0.438224 0.898866i \(-0.644392\pi\)
0.325723 + 0.945465i \(0.394392\pi\)
\(128\) −0.923880 + 0.382683i −0.0816602 + 0.0338248i
\(129\) 2.60999 3.90612i 0.229797 0.343915i
\(130\) −6.07447 3.51288i −0.532767 0.308100i
\(131\) 0.556247 0.371672i 0.0485995 0.0324731i −0.531033 0.847351i \(-0.678196\pi\)
0.579633 + 0.814878i \(0.303196\pi\)
\(132\) 8.69004i 0.756371i
\(133\) 2.21351 + 3.31275i 0.191936 + 0.287252i
\(134\) −9.24124 + 3.82785i −0.798322 + 0.330676i
\(135\) 0.766267 + 11.8203i 0.0659497 + 1.01733i
\(136\) −0.491281 + 4.09373i −0.0421270 + 0.351035i
\(137\) −13.3596 13.3596i −1.14139 1.14139i −0.988196 0.153194i \(-0.951044\pi\)
−0.153194 0.988196i \(-0.548956\pi\)
\(138\) 0.382323 0.923009i 0.0325455 0.0785717i
\(139\) 2.60733 13.1079i 0.221151 1.11180i −0.697456 0.716627i \(-0.745685\pi\)
0.918607 0.395172i \(-0.129315\pi\)
\(140\) −8.60913 7.56089i −0.727604 0.639012i
\(141\) 1.79198 + 2.68189i 0.150912 + 0.225856i
\(142\) 6.40890 + 4.28229i 0.537823 + 0.359362i
\(143\) 3.13671 + 15.7693i 0.262304 + 1.31869i
\(144\) −0.113808 0.0471409i −0.00948401 0.00392841i
\(145\) −3.16508 6.42971i −0.262845 0.533959i
\(146\) 5.96407 + 3.98507i 0.493590 + 0.329806i
\(147\) 18.1459 27.1573i 1.49665 2.23990i
\(148\) 0.429842 2.16096i 0.0353328 0.177630i
\(149\) −5.33611 + 5.33611i −0.437151 + 0.437151i −0.891052 0.453901i \(-0.850032\pi\)
0.453901 + 0.891052i \(0.350032\pi\)
\(150\) 8.46163 + 0.566741i 0.690889 + 0.0462742i
\(151\) 2.08948 + 5.04445i 0.170039 + 0.410511i 0.985810 0.167864i \(-0.0536870\pi\)
−0.815771 + 0.578375i \(0.803687\pi\)
\(152\) 0.549802 0.549802i 0.0445949 0.0445949i
\(153\) −0.399377 + 0.313791i −0.0322878 + 0.0253685i
\(154\) 26.2535i 2.11557i
\(155\) −0.0347116 + 0.102018i −0.00278811 + 0.00819427i
\(156\) −5.22038 1.03840i −0.417965 0.0831384i
\(157\) 2.81882 0.224966 0.112483 0.993654i \(-0.464120\pi\)
0.112483 + 0.993654i \(0.464120\pi\)
\(158\) 9.46534 + 1.88277i 0.753022 + 0.149785i
\(159\) 3.83131 + 19.2613i 0.303842 + 1.52752i
\(160\) −1.11942 + 1.93569i −0.0884976 + 0.153030i
\(161\) −1.15504 + 2.78850i −0.0910296 + 0.219765i
\(162\) 3.29692 + 7.95947i 0.259031 + 0.625355i
\(163\) −14.7782 + 2.93957i −1.15752 + 0.230245i −0.736263 0.676696i \(-0.763411\pi\)
−0.421258 + 0.906941i \(0.638411\pi\)
\(164\) 1.36700 0.271913i 0.106745 0.0212328i
\(165\) −11.8181 15.4245i −0.920042 1.20080i
\(166\) −11.9911 11.9911i −0.930692 0.930692i
\(167\) −17.4048 + 11.6295i −1.34682 + 0.899918i −0.999287 0.0377492i \(-0.987981\pi\)
−0.347535 + 0.937667i \(0.612981\pi\)
\(168\) −8.02957 3.32596i −0.619495 0.256603i
\(169\) −3.15208 −0.242468
\(170\) 4.69533 + 7.93435i 0.360115 + 0.608537i
\(171\) 0.0957810 0.00732456
\(172\) 2.55893 + 1.05995i 0.195117 + 0.0808201i
\(173\) 3.21875 2.15070i 0.244717 0.163515i −0.427163 0.904175i \(-0.640487\pi\)
0.671880 + 0.740660i \(0.265487\pi\)
\(174\) −3.84383 3.84383i −0.291400 0.291400i
\(175\) −25.5634 1.71218i −1.93241 0.129429i
\(176\) 5.02504 0.999543i 0.378777 0.0753434i
\(177\) 4.96712 0.988021i 0.373351 0.0742642i
\(178\) 2.74625 + 6.63003i 0.205840 + 0.496942i
\(179\) −4.32045 + 10.4305i −0.322925 + 0.779611i 0.676156 + 0.736759i \(0.263645\pi\)
−0.999081 + 0.0428525i \(0.986355\pi\)
\(180\) −0.266115 + 0.0711017i −0.0198351 + 0.00529961i
\(181\) −4.26838 21.4586i −0.317266 1.59501i −0.729535 0.683944i \(-0.760263\pi\)
0.412268 0.911062i \(-0.364737\pi\)
\(182\) 15.7713 + 3.13711i 1.16905 + 0.232538i
\(183\) −16.7330 −1.23694
\(184\) 0.577708 + 0.114913i 0.0425892 + 0.00847152i
\(185\) −2.17588 4.42020i −0.159974 0.324979i
\(186\) 0.0817400i 0.00599347i
\(187\) 6.56057 20.0801i 0.479756 1.46840i
\(188\) −1.34469 + 1.34469i −0.0980719 + 0.0980719i
\(189\) −10.3876 25.0778i −0.755585 1.82414i
\(190\) 0.228167 1.72359i 0.0165530 0.125042i
\(191\) −11.6739 + 11.6739i −0.844692 + 0.844692i −0.989465 0.144773i \(-0.953755\pi\)
0.144773 + 0.989465i \(0.453755\pi\)
\(192\) −0.330896 + 1.66353i −0.0238804 + 0.120055i
\(193\) 1.94079 2.90460i 0.139701 0.209078i −0.755021 0.655700i \(-0.772373\pi\)
0.894722 + 0.446623i \(0.147373\pi\)
\(194\) 1.50604 + 1.00630i 0.108127 + 0.0722482i
\(195\) −10.6782 + 5.25642i −0.764680 + 0.376420i
\(196\) 17.7910 + 7.36927i 1.27078 + 0.526376i
\(197\) −0.974422 4.89875i −0.0694247 0.349022i 0.930423 0.366488i \(-0.119440\pi\)
−0.999847 + 0.0174665i \(0.994440\pi\)
\(198\) 0.524771 + 0.350641i 0.0372939 + 0.0249190i
\(199\) 6.52396 + 9.76379i 0.462471 + 0.692137i 0.987264 0.159093i \(-0.0508571\pi\)
−0.524793 + 0.851230i \(0.675857\pi\)
\(200\) 0.645551 + 4.95815i 0.0456474 + 0.350594i
\(201\) −3.30984 + 16.6397i −0.233458 + 1.17367i
\(202\) 1.37603 3.32202i 0.0968169 0.233737i
\(203\) 11.6126 + 11.6126i 0.815044 + 0.815044i
\(204\) 5.31033 + 4.55041i 0.371797 + 0.318593i
\(205\) 2.05658 2.34171i 0.143638 0.163552i
\(206\) 9.51544 3.94143i 0.662972 0.274612i
\(207\) 0.0403117 + 0.0603308i 0.00280186 + 0.00419328i
\(208\) 3.13814i 0.217591i
\(209\) −3.31233 + 2.21323i −0.229119 + 0.153092i
\(210\) −18.7754 + 5.01648i −1.29562 + 0.346170i
\(211\) −6.28170 + 9.40123i −0.432450 + 0.647207i −0.982138 0.188163i \(-0.939747\pi\)
0.549688 + 0.835370i \(0.314747\pi\)
\(212\) −10.6972 + 4.43093i −0.734687 + 0.304317i
\(213\) 12.0784 5.00302i 0.827596 0.342802i
\(214\) 7.13338 10.6759i 0.487628 0.729787i
\(215\) 5.98350 1.59870i 0.408072 0.109030i
\(216\) −4.40453 + 2.94302i −0.299691 + 0.200247i
\(217\) 0.246945i 0.0167637i
\(218\) −1.02144 1.52870i −0.0691808 0.103536i
\(219\) 11.2400 4.65578i 0.759532 0.314608i
\(220\) 7.55992 8.60803i 0.509690 0.580354i
\(221\) −11.2788 6.34057i −0.758696 0.426513i
\(222\) −2.64249 2.64249i −0.177353 0.177353i
\(223\) 4.64271 11.2085i 0.310899 0.750577i −0.688773 0.724977i \(-0.741850\pi\)
0.999672 0.0255998i \(-0.00814957\pi\)
\(224\) 0.999670 5.02568i 0.0667933 0.335793i
\(225\) −0.375649 + 0.488110i −0.0250433 + 0.0325407i
\(226\) 5.23205 + 7.83031i 0.348031 + 0.520865i
\(227\) −5.48783 3.66685i −0.364240 0.243377i 0.359959 0.932968i \(-0.382791\pi\)
−0.724199 + 0.689591i \(0.757791\pi\)
\(228\) −0.257284 1.29346i −0.0170391 0.0856612i
\(229\) −8.19020 3.39249i −0.541223 0.224182i 0.0952875 0.995450i \(-0.469623\pi\)
−0.636511 + 0.771268i \(0.719623\pi\)
\(230\) 1.18169 0.581696i 0.0779183 0.0383559i
\(231\) 37.0245 + 24.7390i 2.43603 + 1.62771i
\(232\) 1.78058 2.66483i 0.116901 0.174955i
\(233\) 2.12944 10.7054i 0.139504 0.701336i −0.846202 0.532863i \(-0.821116\pi\)
0.985706 0.168474i \(-0.0538838\pi\)
\(234\) 0.273348 0.273348i 0.0178693 0.0178693i
\(235\) −0.558046 + 4.21552i −0.0364029 + 0.274990i
\(236\) 1.14265 + 2.75861i 0.0743803 + 0.179570i
\(237\) 11.5745 11.5745i 0.751846 0.751846i
\(238\) −16.0430 13.7473i −1.03992 0.891102i
\(239\) 2.34241i 0.151518i 0.997126 + 0.0757590i \(0.0241380\pi\)
−0.997126 + 0.0757590i \(0.975862\pi\)
\(240\) 1.67501 + 3.40271i 0.108121 + 0.219644i
\(241\) 13.5797 + 2.70117i 0.874744 + 0.173997i 0.611990 0.790865i \(-0.290369\pi\)
0.262754 + 0.964863i \(0.415369\pi\)
\(242\) −15.2501 −0.980316
\(243\) −1.25477 0.249590i −0.0804937 0.0160112i
\(244\) −1.92465 9.67589i −0.123213 0.619435i
\(245\) 41.6003 11.1149i 2.65775 0.710107i
\(246\) 0.904669 2.18406i 0.0576796 0.139251i
\(247\) 0.933756 + 2.25429i 0.0594135 + 0.143437i
\(248\) −0.0472664 + 0.00940187i −0.00300142 + 0.000597019i
\(249\) −28.2101 + 5.61134i −1.78774 + 0.355604i
\(250\) 7.88874 + 7.92261i 0.498928 + 0.501070i
\(251\) −0.979211 0.979211i −0.0618073 0.0618073i 0.675528 0.737335i \(-0.263916\pi\)
−0.737335 + 0.675528i \(0.763916\pi\)
\(252\) 0.524838 0.350686i 0.0330617 0.0220911i
\(253\) −2.78815 1.15489i −0.175289 0.0726072i
\(254\) −1.37229 −0.0861049
\(255\) 15.6140 + 0.854956i 0.977789 + 0.0535394i
\(256\) −1.00000 −0.0625000
\(257\) 18.0459 + 7.47486i 1.12567 + 0.466269i 0.866308 0.499510i \(-0.166487\pi\)
0.259365 + 0.965779i \(0.416487\pi\)
\(258\) 3.90612 2.60999i 0.243185 0.162491i
\(259\) 7.98324 + 7.98324i 0.496054 + 0.496054i
\(260\) −4.26776 5.57008i −0.264675 0.345442i
\(261\) 0.387217 0.0770223i 0.0239682 0.00476756i
\(262\) 0.656138 0.130514i 0.0405363 0.00806317i
\(263\) 4.85089 + 11.7111i 0.299118 + 0.722136i 0.999961 + 0.00881987i \(0.00280749\pi\)
−0.700843 + 0.713316i \(0.747193\pi\)
\(264\) 3.32553 8.02855i 0.204672 0.494123i
\(265\) −12.9612 + 22.4126i −0.796203 + 1.37679i
\(266\) 0.777282 + 3.90766i 0.0476582 + 0.239594i
\(267\) 11.9380 + 2.37461i 0.730591 + 0.145324i
\(268\) −10.0027 −0.611009
\(269\) −3.45487 0.687216i −0.210647 0.0419003i 0.0886386 0.996064i \(-0.471748\pi\)
−0.299286 + 0.954164i \(0.596748\pi\)
\(270\) −3.81549 + 11.2138i −0.232203 + 0.682448i
\(271\) 16.6923i 1.01399i 0.861950 + 0.506993i \(0.169243\pi\)
−0.861950 + 0.506993i \(0.830757\pi\)
\(272\) −2.02049 + 3.59411i −0.122510 + 0.217925i
\(273\) 19.2857 19.2857i 1.16722 1.16722i
\(274\) −7.23018 17.4552i −0.436791 1.05451i
\(275\) 1.71196 25.5602i 0.103235 1.54134i
\(276\) 0.706440 0.706440i 0.0425227 0.0425227i
\(277\) −5.89170 + 29.6196i −0.353998 + 1.77967i 0.235476 + 0.971880i \(0.424335\pi\)
−0.589474 + 0.807787i \(0.700665\pi\)
\(278\) 7.42504 11.1124i 0.445324 0.666475i
\(279\) −0.00493609 0.00329819i −0.000295516 0.000197457i
\(280\) −5.06037 10.2799i −0.302415 0.614343i
\(281\) −9.95023 4.12152i −0.593581 0.245869i 0.0656095 0.997845i \(-0.479101\pi\)
−0.659190 + 0.751976i \(0.729101\pi\)
\(282\) 0.629260 + 3.16350i 0.0374719 + 0.188384i
\(283\) 20.9307 + 13.9854i 1.24420 + 0.831348i 0.990710 0.135991i \(-0.0434217\pi\)
0.253489 + 0.967338i \(0.418422\pi\)
\(284\) 4.28229 + 6.40890i 0.254107 + 0.380298i
\(285\) −2.21572 1.94594i −0.131248 0.115267i
\(286\) −3.13671 + 15.7693i −0.185477 + 0.932457i
\(287\) −2.73310 + 6.59828i −0.161330 + 0.389484i
\(288\) −0.0871050 0.0871050i −0.00513271 0.00513271i
\(289\) 8.83526 + 14.5237i 0.519721 + 0.854336i
\(290\) −0.463606 7.15150i −0.0272239 0.419951i
\(291\) 2.83831 1.17567i 0.166385 0.0689189i
\(292\) 3.98507 + 5.96407i 0.233208 + 0.349021i
\(293\) 8.81242i 0.514827i 0.966301 + 0.257414i \(0.0828702\pi\)
−0.966301 + 0.257414i \(0.917130\pi\)
\(294\) 27.1573 18.1459i 1.58385 1.05829i
\(295\) 5.77978 + 3.34246i 0.336512 + 0.194606i
\(296\) 1.22409 1.83197i 0.0711486 0.106481i
\(297\) 25.0746 10.3863i 1.45498 0.602672i
\(298\) −6.97196 + 2.88788i −0.403875 + 0.167290i
\(299\) −1.02694 + 1.53693i −0.0593896 + 0.0888828i
\(300\) 7.60064 + 3.76173i 0.438823 + 0.217183i
\(301\) −11.8008 + 7.88504i −0.680187 + 0.454486i
\(302\) 5.46007i 0.314192i
\(303\) −3.38830 5.07095i −0.194653 0.291319i
\(304\) 0.718351 0.297551i 0.0412003 0.0170657i
\(305\) −16.5751 14.5569i −0.949085 0.833525i
\(306\) −0.489059 + 0.137070i −0.0279577 + 0.00783579i
\(307\) 1.58233 + 1.58233i 0.0903081 + 0.0903081i 0.750818 0.660510i \(-0.229660\pi\)
−0.660510 + 0.750818i \(0.729660\pi\)
\(308\) −10.0468 + 24.2551i −0.572468 + 1.38206i
\(309\) 3.40805 17.1334i 0.193877 0.974685i
\(310\) −0.0711099 + 0.0809686i −0.00403877 + 0.00459871i
\(311\) −3.10147 4.64168i −0.175868 0.263205i 0.733055 0.680170i \(-0.238094\pi\)
−0.908923 + 0.416964i \(0.863094\pi\)
\(312\) −4.42562 2.95711i −0.250552 0.167413i
\(313\) −5.87011 29.5110i −0.331798 1.66806i −0.681973 0.731378i \(-0.738878\pi\)
0.350174 0.936685i \(-0.386122\pi\)
\(314\) 2.60425 + 1.07872i 0.146966 + 0.0608754i
\(315\) 0.454648 1.33622i 0.0256165 0.0752872i
\(316\) 8.02433 + 5.36168i 0.451404 + 0.301618i
\(317\) 6.01051 8.99537i 0.337584 0.505230i −0.623374 0.781924i \(-0.714239\pi\)
0.960958 + 0.276693i \(0.0892386\pi\)
\(318\) −3.83131 + 19.2613i −0.214849 + 1.08012i
\(319\) −11.6111 + 11.6111i −0.650097 + 0.650097i
\(320\) −1.77496 + 1.35996i −0.0992235 + 0.0760244i
\(321\) −8.33398 20.1200i −0.465157 1.12299i
\(322\) −2.13423 + 2.13423i −0.118936 + 0.118936i
\(323\) 0.381989 3.18303i 0.0212545 0.177109i
\(324\) 8.61527i 0.478626i
\(325\) −15.1502 4.08269i −0.840384 0.226467i
\(326\) −14.7782 2.93957i −0.818491 0.162808i
\(327\) −3.11839 −0.172448
\(328\) 1.36700 + 0.271913i 0.0754799 + 0.0150139i
\(329\) −1.90106 9.55727i −0.104809 0.526909i
\(330\) −5.01584 18.7730i −0.276113 1.03342i
\(331\) 8.07529 19.4955i 0.443858 1.07157i −0.530725 0.847544i \(-0.678080\pi\)
0.974583 0.224025i \(-0.0719197\pi\)
\(332\) −6.48955 15.6672i −0.356160 0.859847i
\(333\) 0.266198 0.0529501i 0.0145876 0.00290165i
\(334\) −20.5303 + 4.08374i −1.12337 + 0.223452i
\(335\) −17.7543 + 13.6033i −0.970023 + 0.743225i
\(336\) −6.14557 6.14557i −0.335268 0.335268i
\(337\) −22.4356 + 14.9910i −1.22214 + 0.816610i −0.987828 0.155551i \(-0.950285\pi\)
−0.234315 + 0.972161i \(0.575285\pi\)
\(338\) −2.91214 1.20625i −0.158400 0.0656113i
\(339\) 15.9731 0.867539
\(340\) 1.30157 + 9.12721i 0.0705877 + 0.494992i
\(341\) 0.246913 0.0133711
\(342\) 0.0884901 + 0.0366538i 0.00478500 + 0.00198201i
\(343\) −52.2210 + 34.8930i −2.81967 + 1.88404i
\(344\) 1.95852 + 1.95852i 0.105597 + 0.105597i
\(345\) 0.293172 2.21464i 0.0157838 0.119232i
\(346\) 3.79677 0.755225i 0.204116 0.0406012i
\(347\) −29.8614 + 5.93981i −1.60305 + 0.318866i −0.913957 0.405811i \(-0.866989\pi\)
−0.689089 + 0.724676i \(0.741989\pi\)
\(348\) −2.08026 5.02220i −0.111514 0.269218i
\(349\) −6.97374 + 16.8361i −0.373296 + 0.901216i 0.619891 + 0.784688i \(0.287177\pi\)
−0.993187 + 0.116528i \(0.962823\pi\)
\(350\) −22.9623 11.3646i −1.22739 0.607461i
\(351\) −3.24311 16.3042i −0.173104 0.870255i
\(352\) 5.02504 + 0.999543i 0.267836 + 0.0532758i
\(353\) 14.1949 0.755516 0.377758 0.925904i \(-0.376695\pi\)
0.377758 + 0.925904i \(0.376695\pi\)
\(354\) 4.96712 + 0.988021i 0.263999 + 0.0525127i
\(355\) 16.3168 + 5.55180i 0.866005 + 0.294659i
\(356\) 7.17629i 0.380343i
\(357\) −34.5049 + 9.67081i −1.82619 + 0.511833i
\(358\) −7.98315 + 7.98315i −0.421922 + 0.421922i
\(359\) 2.50484 + 6.04721i 0.132200 + 0.319159i 0.976093 0.217352i \(-0.0697419\pi\)
−0.843893 + 0.536511i \(0.819742\pi\)
\(360\) −0.273068 0.0361484i −0.0143919 0.00190519i
\(361\) 13.0075 13.0075i 0.684607 0.684607i
\(362\) 4.26838 21.4586i 0.224341 1.12784i
\(363\) −14.3704 + 21.5068i −0.754250 + 1.12881i
\(364\) 13.3703 + 8.93372i 0.700792 + 0.468254i
\(365\) 15.1843 + 5.16646i 0.794781 + 0.270425i
\(366\) −15.4592 6.40343i −0.808068 0.334713i
\(367\) −3.94067 19.8111i −0.205701 1.03413i −0.936268 0.351288i \(-0.885744\pi\)
0.730567 0.682842i \(-0.239256\pi\)
\(368\) 0.489757 + 0.327245i 0.0255304 + 0.0170588i
\(369\) 0.0953874 + 0.142757i 0.00496567 + 0.00743165i
\(370\) −0.318713 4.91640i −0.0165691 0.255592i
\(371\) 11.5748 58.1902i 0.600932 3.02109i
\(372\) −0.0312805 + 0.0755179i −0.00162182 + 0.00391542i
\(373\) 11.2360 + 11.2360i 0.581778 + 0.581778i 0.935391 0.353614i \(-0.115047\pi\)
−0.353614 + 0.935391i \(0.615047\pi\)
\(374\) 13.7455 16.0410i 0.710763 0.829460i
\(375\) 18.6067 3.65968i 0.960845 0.188985i
\(376\) −1.75693 + 0.727743i −0.0906066 + 0.0375305i
\(377\) 5.58771 + 8.36261i 0.287782 + 0.430696i
\(378\) 27.1441i 1.39614i
\(379\) −14.5976 + 9.75378i −0.749827 + 0.501018i −0.870800 0.491638i \(-0.836398\pi\)
0.120973 + 0.992656i \(0.461398\pi\)
\(380\) 0.870389 1.50507i 0.0446500 0.0772087i
\(381\) −1.29312 + 1.93529i −0.0662487 + 0.0991481i
\(382\) −15.2527 + 6.31786i −0.780394 + 0.323250i
\(383\) 32.4612 13.4459i 1.65869 0.687052i 0.660714 0.750638i \(-0.270254\pi\)
0.997976 + 0.0635858i \(0.0202536\pi\)
\(384\) −0.942312 + 1.41027i −0.0480872 + 0.0719676i
\(385\) 15.1534 + 56.7151i 0.772287 + 2.89047i
\(386\) 2.90460 1.94079i 0.147840 0.0987837i
\(387\) 0.341194i 0.0173439i
\(388\) 1.00630 + 1.50604i 0.0510872 + 0.0764574i
\(389\) 7.77876 3.22207i 0.394399 0.163365i −0.176665 0.984271i \(-0.556531\pi\)
0.571064 + 0.820906i \(0.306531\pi\)
\(390\) −11.8769 + 0.769936i −0.601409 + 0.0389872i
\(391\) 2.16570 1.09905i 0.109524 0.0555812i
\(392\) 13.6166 + 13.6166i 0.687744 + 0.687744i
\(393\) 0.434227 1.04832i 0.0219038 0.0528806i
\(394\) 0.974422 4.89875i 0.0490907 0.246796i
\(395\) 21.5346 1.39601i 1.08352 0.0702409i
\(396\) 0.350641 + 0.524771i 0.0176204 + 0.0263708i
\(397\) −8.65471 5.78289i −0.434367 0.290235i 0.319099 0.947721i \(-0.396620\pi\)
−0.753466 + 0.657486i \(0.771620\pi\)
\(398\) 2.29091 + 11.5172i 0.114833 + 0.577304i
\(399\) 6.24330 + 2.58606i 0.312556 + 0.129465i
\(400\) −1.30099 + 4.82778i −0.0650495 + 0.241389i
\(401\) −13.5931 9.08260i −0.678805 0.453563i 0.167774 0.985825i \(-0.446342\pi\)
−0.846580 + 0.532262i \(0.821342\pi\)
\(402\) −9.42562 + 14.1064i −0.470107 + 0.703565i
\(403\) 0.0295044 0.148329i 0.00146972 0.00738877i
\(404\) 2.54257 2.54257i 0.126497 0.126497i
\(405\) 11.7165 + 15.2918i 0.582196 + 0.759855i
\(406\) 6.28469 + 15.1726i 0.311904 + 0.753003i
\(407\) −7.98222 + 7.98222i −0.395664 + 0.395664i
\(408\) 3.16474 + 6.23621i 0.156678 + 0.308738i
\(409\) 5.87770i 0.290634i −0.989385 0.145317i \(-0.953580\pi\)
0.989385 0.145317i \(-0.0464201\pi\)
\(410\) 2.79616 1.37643i 0.138093 0.0679772i
\(411\) −31.4296 6.25174i −1.55031 0.308376i
\(412\) 10.2994 0.507417
\(413\) −15.0062 2.98491i −0.738405 0.146878i
\(414\) 0.0141556 + 0.0711650i 0.000695710 + 0.00349757i
\(415\) −32.8255 18.9831i −1.61134 0.931842i
\(416\) 1.20091 2.89926i 0.0588797 0.142148i
\(417\) −8.67472 20.9426i −0.424803 1.02557i
\(418\) −3.90716 + 0.777183i −0.191105 + 0.0380132i
\(419\) −21.6750 + 4.31142i −1.05889 + 0.210627i −0.693669 0.720294i \(-0.744007\pi\)
−0.365222 + 0.930920i \(0.619007\pi\)
\(420\) −19.2659 2.55040i −0.940081 0.124447i
\(421\) −11.7321 11.7321i −0.571789 0.571789i 0.360839 0.932628i \(-0.382490\pi\)
−0.932628 + 0.360839i \(0.882490\pi\)
\(422\) −9.40123 + 6.28170i −0.457645 + 0.305788i
\(423\) −0.216427 0.0896471i −0.0105231 0.00435879i
\(424\) −11.5786 −0.562305
\(425\) 14.7229 + 14.4304i 0.714167 + 0.699976i
\(426\) 13.0735 0.633415
\(427\) 46.7039 + 19.3454i 2.26016 + 0.936190i
\(428\) 10.6759 7.13338i 0.516037 0.344805i
\(429\) 19.2832 + 19.2832i 0.931001 + 0.931001i
\(430\) 6.13983 + 0.812784i 0.296089 + 0.0391959i
\(431\) −3.13334 + 0.623260i −0.150928 + 0.0300214i −0.269976 0.962867i \(-0.587016\pi\)
0.119048 + 0.992888i \(0.462016\pi\)
\(432\) −5.19550 + 1.03345i −0.249969 + 0.0497219i
\(433\) −10.6457 25.7010i −0.511600 1.23511i −0.942952 0.332928i \(-0.891963\pi\)
0.431352 0.902184i \(-0.358037\pi\)
\(434\) 0.0945016 0.228147i 0.00453622 0.0109514i
\(435\) −10.5224 6.08514i −0.504511 0.291760i
\(436\) −0.358683 1.80322i −0.0171778 0.0863586i
\(437\) −0.449190 0.0893494i −0.0214877 0.00427416i
\(438\) 12.1661 0.581320
\(439\) 26.9898 + 5.36860i 1.28815 + 0.256230i 0.791205 0.611551i \(-0.209454\pi\)
0.496948 + 0.867780i \(0.334454\pi\)
\(440\) 10.2786 5.05973i 0.490013 0.241213i
\(441\) 2.37215i 0.112960i
\(442\) −7.99384 10.1741i −0.380228 0.483935i
\(443\) −7.62236 + 7.62236i −0.362149 + 0.362149i −0.864604 0.502454i \(-0.832431\pi\)
0.502454 + 0.864604i \(0.332431\pi\)
\(444\) −1.43011 3.45259i −0.0678699 0.163852i
\(445\) 9.75951 + 12.7377i 0.462645 + 0.603823i
\(446\) 8.57861 8.57861i 0.406209 0.406209i
\(447\) −2.49707 + 12.5536i −0.118108 + 0.593767i
\(448\) 2.84682 4.26057i 0.134500 0.201293i
\(449\) −13.7829 9.20944i −0.650456 0.434621i 0.186079 0.982535i \(-0.440422\pi\)
−0.836534 + 0.547914i \(0.815422\pi\)
\(450\) −0.533846 + 0.307201i −0.0251657 + 0.0144816i
\(451\) −6.59744 2.73275i −0.310661 0.128680i
\(452\) 1.83725 + 9.23648i 0.0864170 + 0.434448i
\(453\) 7.70017 + 5.14509i 0.361786 + 0.241737i
\(454\) −3.66685 5.48783i −0.172094 0.257557i
\(455\) 35.8813 2.32605i 1.68214 0.109047i
\(456\) 0.257284 1.29346i 0.0120484 0.0605716i
\(457\) 4.40392 10.6320i 0.206007 0.497344i −0.786781 0.617233i \(-0.788254\pi\)
0.992787 + 0.119889i \(0.0382538\pi\)
\(458\) −6.26850 6.26850i −0.292908 0.292908i
\(459\) −6.78312 + 20.7613i −0.316609 + 0.969054i
\(460\) 1.31434 0.0852042i 0.0612816 0.00397267i
\(461\) 5.56273 2.30416i 0.259082 0.107315i −0.249362 0.968410i \(-0.580221\pi\)
0.508444 + 0.861095i \(0.330221\pi\)
\(462\) 24.7390 + 37.0245i 1.15096 + 1.72254i
\(463\) 16.9129i 0.786008i −0.919537 0.393004i \(-0.871436\pi\)
0.919537 0.393004i \(-0.128564\pi\)
\(464\) 2.66483 1.78058i 0.123712 0.0826614i
\(465\) 0.0471799 + 0.176582i 0.00218791 + 0.00818879i
\(466\) 6.06414 9.07563i 0.280916 0.420420i
\(467\) 16.2273 6.72155i 0.750908 0.311036i 0.0257959 0.999667i \(-0.491788\pi\)
0.725112 + 0.688631i \(0.241788\pi\)
\(468\) 0.357146 0.147935i 0.0165091 0.00683828i
\(469\) 28.4757 42.6170i 1.31489 1.96787i
\(470\) −2.12878 + 3.68108i −0.0981932 + 0.169795i
\(471\) 3.97530 2.65621i 0.183172 0.122392i
\(472\) 2.98589i 0.137437i
\(473\) −7.88403 11.7993i −0.362508 0.542532i
\(474\) 15.1228 6.26409i 0.694615 0.287719i
\(475\) −0.501941 3.85515i −0.0230306 0.176886i
\(476\) −9.56099 18.8402i −0.438227 0.863540i
\(477\) −1.00855 1.00855i −0.0461784 0.0461784i
\(478\) −0.896403 + 2.16411i −0.0410005 + 0.0989840i
\(479\) 0.867654 4.36199i 0.0396441 0.199304i −0.955888 0.293733i \(-0.905102\pi\)
0.995532 + 0.0944285i \(0.0301024\pi\)
\(480\) 0.245348 + 3.78469i 0.0111985 + 0.172747i
\(481\) 3.84135 + 5.74899i 0.175151 + 0.262132i
\(482\) 11.5123 + 7.69227i 0.524371 + 0.350373i
\(483\) 0.998728 + 5.02095i 0.0454437 + 0.228461i
\(484\) −14.0893 5.83597i −0.640422 0.265272i
\(485\) 3.83430 + 1.30462i 0.174107 + 0.0592399i
\(486\) −1.06375 0.710772i −0.0482525 0.0322413i
\(487\) −5.37519 + 8.04454i −0.243573 + 0.364533i −0.933033 0.359791i \(-0.882848\pi\)
0.689460 + 0.724324i \(0.257848\pi\)
\(488\) 1.92465 9.67589i 0.0871250 0.438007i
\(489\) −18.0713 + 18.0713i −0.817213 + 0.817213i
\(490\) 42.6872 + 5.65088i 1.92841 + 0.255281i
\(491\) 14.6501 + 35.3685i 0.661150 + 1.59616i 0.796004 + 0.605292i \(0.206944\pi\)
−0.134854 + 0.990866i \(0.543056\pi\)
\(492\) 1.67161 1.67161i 0.0753620 0.0753620i
\(493\) −1.01535 13.1753i −0.0457292 0.593387i
\(494\) 2.44002i 0.109782i
\(495\) 1.33605 + 0.454591i 0.0600508 + 0.0204323i
\(496\) −0.0472664 0.00940187i −0.00212232 0.000422156i
\(497\) −39.4965 −1.77166
\(498\) −28.2101 5.61134i −1.26413 0.251450i
\(499\) −0.578259 2.90710i −0.0258864 0.130140i 0.965681 0.259730i \(-0.0836337\pi\)
−0.991568 + 0.129591i \(0.958634\pi\)
\(500\) 4.25640 + 10.3384i 0.190352 + 0.462349i
\(501\) −13.5868 + 32.8015i −0.607014 + 1.46546i
\(502\) −0.529945 1.27940i −0.0236526 0.0571025i
\(503\) 18.4949 3.67885i 0.824645 0.164032i 0.235309 0.971921i \(-0.424390\pi\)
0.589335 + 0.807889i \(0.299390\pi\)
\(504\) 0.619089 0.123144i 0.0275764 0.00548529i
\(505\) 1.05516 7.97076i 0.0469541 0.354694i
\(506\) −2.13396 2.13396i −0.0948659 0.0948659i
\(507\) −4.44528 + 2.97024i −0.197422 + 0.131913i
\(508\) −1.26783 0.525151i −0.0562507 0.0232998i
\(509\) −5.30040 −0.234936 −0.117468 0.993077i \(-0.537478\pi\)
−0.117468 + 0.993077i \(0.537478\pi\)
\(510\) 14.0983 + 6.76511i 0.624284 + 0.299564i
\(511\) −36.7551 −1.62595
\(512\) −0.923880 0.382683i −0.0408301 0.0169124i
\(513\) 3.42469 2.28831i 0.151204 0.101031i
\(514\) 13.8117 + 13.8117i 0.609210 + 0.609210i
\(515\) 18.2811 14.0069i 0.805563 0.617217i
\(516\) 4.60759 0.916506i 0.202838 0.0403469i
\(517\) 9.55605 1.90082i 0.420274 0.0835978i
\(518\) 4.32050 + 10.4306i 0.189832 + 0.458295i
\(519\) 2.51268 6.06614i 0.110294 0.266274i
\(520\) −1.81132 6.77929i −0.0794315 0.297291i
\(521\) 3.13756 + 15.7736i 0.137459 + 0.691053i 0.986635 + 0.162944i \(0.0520989\pi\)
−0.849176 + 0.528109i \(0.822901\pi\)
\(522\) 0.387217 + 0.0770223i 0.0169480 + 0.00337118i
\(523\) 13.3777 0.584968 0.292484 0.956270i \(-0.405518\pi\)
0.292484 + 0.956270i \(0.405518\pi\)
\(524\) 0.656138 + 0.130514i 0.0286635 + 0.00570153i
\(525\) −37.6648 + 21.6741i −1.64382 + 0.945935i
\(526\) 12.6760i 0.552699i
\(527\) −0.129293 + 0.150884i −0.00563207 + 0.00657262i
\(528\) 6.14479 6.14479i 0.267417 0.267417i
\(529\) 8.66895 + 20.9287i 0.376911 + 0.909943i
\(530\) −20.5515 + 15.7465i −0.892702 + 0.683982i
\(531\) −0.260086 + 0.260086i −0.0112868 + 0.0112868i
\(532\) −0.777282 + 3.90766i −0.0336994 + 0.169418i
\(533\) −2.42999 + 3.63674i −0.105255 + 0.157525i
\(534\) 10.1205 + 6.76231i 0.437957 + 0.292634i
\(535\) 9.24812 27.1803i 0.399831 1.17511i
\(536\) −9.24124 3.82785i −0.399161 0.165338i
\(537\) 3.73578 + 18.7810i 0.161211 + 0.810461i
\(538\) −2.92890 1.95703i −0.126274 0.0843734i
\(539\) −54.8137 82.0346i −2.36099 3.53348i
\(540\) −7.81637 + 8.90004i −0.336363 + 0.382997i
\(541\) 2.60042 13.0732i 0.111801 0.562060i −0.883760 0.467940i \(-0.844996\pi\)
0.995561 0.0941200i \(-0.0300037\pi\)
\(542\) −6.38787 + 15.4217i −0.274383 + 0.662418i
\(543\) −26.2403 26.2403i −1.12608 1.12608i
\(544\) −3.24209 + 2.54732i −0.139004 + 0.109215i
\(545\) −3.08897 2.71285i −0.132317 0.116206i
\(546\) 25.1979 10.4373i 1.07837 0.446676i
\(547\) 15.6189 + 23.3754i 0.667817 + 0.999459i 0.998448 + 0.0556988i \(0.0177387\pi\)
−0.330630 + 0.943760i \(0.607261\pi\)
\(548\) 18.8934i 0.807085i
\(549\) 1.01047 0.675171i 0.0431256 0.0288156i
\(550\) 11.3631 22.9594i 0.484524 0.978991i
\(551\) −1.38447 + 2.07201i −0.0589804 + 0.0882704i
\(552\) 0.923009 0.382323i 0.0392859 0.0162727i
\(553\) −45.6876 + 18.9244i −1.94284 + 0.804749i
\(554\) −16.7781 + 25.1103i −0.712835 + 1.06683i
\(555\) −7.23378 4.18332i −0.307057 0.177572i
\(556\) 11.1124 7.42504i 0.471269 0.314892i
\(557\) 46.0957i 1.95314i −0.215210 0.976568i \(-0.569044\pi\)
0.215210 0.976568i \(-0.430956\pi\)
\(558\) −0.00329819 0.00493609i −0.000139623 0.000208961i
\(559\) −8.03029 + 3.32626i −0.339645 + 0.140686i
\(560\) −0.741221 11.4339i −0.0313223 0.483172i
\(561\) −9.66958 34.5005i −0.408250 1.45661i
\(562\) −7.61557 7.61557i −0.321244 0.321244i
\(563\) −10.3783 + 25.0553i −0.437391 + 1.05596i 0.539455 + 0.842014i \(0.318630\pi\)
−0.976846 + 0.213942i \(0.931370\pi\)
\(564\) −0.629260 + 3.16350i −0.0264966 + 0.133208i
\(565\) 15.8223 + 13.8958i 0.665651 + 0.584602i
\(566\) 13.9854 + 20.9307i 0.587851 + 0.879782i
\(567\) −36.7059 24.5261i −1.54150 1.03000i
\(568\) 1.50374 + 7.55981i 0.0630955 + 0.317203i
\(569\) 26.6015 + 11.0187i 1.11519 + 0.461928i 0.862723 0.505677i \(-0.168757\pi\)
0.252470 + 0.967605i \(0.418757\pi\)
\(570\) −1.30238 2.64573i −0.0545509 0.110818i
\(571\) 22.2050 + 14.8369i 0.929251 + 0.620906i 0.925361 0.379087i \(-0.123762\pi\)
0.00389002 + 0.999992i \(0.498762\pi\)
\(572\) −8.93258 + 13.3686i −0.373490 + 0.558967i
\(573\) −5.46288 + 27.4638i −0.228215 + 1.14731i
\(574\) −5.05010 + 5.05010i −0.210787 + 0.210787i
\(575\) 2.21704 1.93870i 0.0924568 0.0808492i
\(576\) −0.0471409 0.113808i −0.00196420 0.00474201i
\(577\) 25.5595 25.5595i 1.06406 1.06406i 0.0662536 0.997803i \(-0.478895\pi\)
0.997803 0.0662536i \(-0.0211046\pi\)
\(578\) 2.60473 + 16.7993i 0.108343 + 0.698757i
\(579\) 5.92510i 0.246239i
\(580\) 2.30845 6.78454i 0.0958530 0.281713i
\(581\) 85.2256 + 16.9524i 3.53575 + 0.703305i
\(582\) 3.07217 0.127345
\(583\) 58.1828 + 11.5733i 2.40969 + 0.479316i
\(584\) 1.39937 + 7.03510i 0.0579063 + 0.291115i
\(585\) 0.432735 0.748284i 0.0178914 0.0309378i
\(586\) −3.37237 + 8.14161i −0.139311 + 0.336327i
\(587\) −3.32059 8.01661i −0.137055 0.330881i 0.840418 0.541938i \(-0.182309\pi\)
−0.977474 + 0.211057i \(0.932309\pi\)
\(588\) 32.0343 6.37201i 1.32107 0.262777i
\(589\) 0.0367514 0.00731031i 0.00151432 0.000301216i
\(590\) 4.06071 + 5.29985i 0.167177 + 0.218192i
\(591\) −5.99035 5.99035i −0.246410 0.246410i
\(592\) 1.83197 1.22409i 0.0752937 0.0503096i
\(593\) 9.28441 + 3.84573i 0.381265 + 0.157925i 0.565081 0.825036i \(-0.308845\pi\)
−0.183816 + 0.982961i \(0.558845\pi\)
\(594\) 27.1406 1.11359
\(595\) −42.5924 20.4381i −1.74612 0.837880i
\(596\) −7.54640 −0.309112
\(597\) 18.4011 + 7.62198i 0.753106 + 0.311947i
\(598\) −1.53693 + 1.02694i −0.0628496 + 0.0419948i
\(599\) 27.5213 + 27.5213i 1.12449 + 1.12449i 0.991058 + 0.133434i \(0.0426003\pi\)
0.133434 + 0.991058i \(0.457400\pi\)
\(600\) 5.58253 + 6.38402i 0.227906 + 0.260627i
\(601\) −46.8532 + 9.31969i −1.91118 + 0.380158i −0.999526 0.0307923i \(-0.990197\pi\)
−0.911658 + 0.410950i \(0.865197\pi\)
\(602\) −13.9200 + 2.76886i −0.567336 + 0.112850i
\(603\) −0.471534 1.13838i −0.0192023 0.0463585i
\(604\) −2.08948 + 5.04445i −0.0850197 + 0.205256i
\(605\) −32.9447 + 8.80230i −1.33939 + 0.357864i
\(606\) −1.18981 5.98160i −0.0483329 0.242986i
\(607\) 17.9234 + 3.56519i 0.727488 + 0.144706i 0.544922 0.838487i \(-0.316559\pi\)
0.182567 + 0.983193i \(0.441559\pi\)
\(608\) 0.777538 0.0315333
\(609\) 27.3196 + 5.43420i 1.10705 + 0.220205i
\(610\) −9.74268 19.7918i −0.394470 0.801347i
\(611\) 5.96775i 0.241429i
\(612\) −0.504287 0.0605184i −0.0203846 0.00244631i
\(613\) 13.0949 13.0949i 0.528900 0.528900i −0.391345 0.920244i \(-0.627990\pi\)
0.920244 + 0.391345i \(0.127990\pi\)
\(614\) 0.856349 + 2.06741i 0.0345594 + 0.0834338i
\(615\) 0.693716 5.24038i 0.0279733 0.211312i
\(616\) −18.5640 + 18.5640i −0.747965 + 0.747965i
\(617\) −3.54142 + 17.8039i −0.142572 + 0.716759i 0.841678 + 0.539980i \(0.181568\pi\)
−0.984250 + 0.176780i \(0.943432\pi\)
\(618\) 9.70529 14.5250i 0.390404 0.584281i
\(619\) −0.888855 0.593914i −0.0357261 0.0238714i 0.537579 0.843213i \(-0.319339\pi\)
−0.573305 + 0.819342i \(0.694339\pi\)
\(620\) −0.0966823 + 0.0475927i −0.00388286 + 0.00191137i
\(621\) 2.88273 + 1.19406i 0.115680 + 0.0479162i
\(622\) −1.08909 5.47523i −0.0436686 0.219537i
\(623\) −30.5751 20.4296i −1.22496 0.818495i
\(624\) −2.95711 4.42562i −0.118379 0.177167i
\(625\) 21.6148 + 12.5618i 0.864594 + 0.502471i
\(626\) 5.87011 29.5110i 0.234617 1.17950i
\(627\) −2.58573 + 6.24250i −0.103264 + 0.249301i
\(628\) 1.99321 + 1.99321i 0.0795376 + 0.0795376i
\(629\) −0.698020 9.05757i −0.0278319 0.361149i
\(630\) 0.931388 1.06052i 0.0371074 0.0422520i
\(631\) 20.4042 8.45171i 0.812279 0.336457i 0.0624162 0.998050i \(-0.480119\pi\)
0.749863 + 0.661593i \(0.230119\pi\)
\(632\) 5.36168 + 8.02433i 0.213276 + 0.319191i
\(633\) 19.1776i 0.762241i
\(634\) 8.99537 6.01051i 0.357252 0.238708i
\(635\) −2.96453 + 0.792076i −0.117644 + 0.0314326i
\(636\) −10.9106 + 16.3289i −0.432635 + 0.647484i
\(637\) −55.8306 + 23.1258i −2.21209 + 0.916277i
\(638\) −15.1706 + 6.28389i −0.600612 + 0.248781i
\(639\) −0.527514 + 0.789480i −0.0208681 + 0.0312314i
\(640\) −2.16029 + 0.577195i −0.0853929 + 0.0228156i
\(641\) 21.9897 14.6930i 0.868539 0.580339i −0.0395024 0.999219i \(-0.512577\pi\)
0.908041 + 0.418880i \(0.137577\pi\)
\(642\) 21.7777i 0.859498i
\(643\) −19.1860 28.7138i −0.756620 1.13236i −0.987228 0.159315i \(-0.949071\pi\)
0.230608 0.973047i \(-0.425929\pi\)
\(644\) −2.78850 + 1.15504i −0.109882 + 0.0455148i
\(645\) 6.93189 7.89292i 0.272943 0.310784i
\(646\) 1.57101 2.79456i 0.0618104 0.109950i
\(647\) 8.93147 + 8.93147i 0.351132 + 0.351132i 0.860531 0.509399i \(-0.170132\pi\)
−0.509399 + 0.860531i \(0.670132\pi\)
\(648\) −3.29692 + 7.95947i −0.129515 + 0.312678i
\(649\) 2.98453 15.0042i 0.117153 0.588968i
\(650\) −12.4346 9.56966i −0.487726 0.375353i
\(651\) −0.232699 0.348259i −0.00912019 0.0136493i
\(652\) −12.5284 8.37120i −0.490649 0.327842i
\(653\) 4.65071 + 23.3807i 0.181996 + 0.914957i 0.958554 + 0.284911i \(0.0919641\pi\)
−0.776558 + 0.630046i \(0.783036\pi\)
\(654\) −2.88102 1.19336i −0.112657 0.0466640i
\(655\) 1.34211 0.660667i 0.0524408 0.0258144i
\(656\) 1.15889 + 0.774342i 0.0452469 + 0.0302330i
\(657\) −0.490901 + 0.734685i −0.0191519 + 0.0286628i
\(658\) 1.90106 9.55727i 0.0741110 0.372581i
\(659\) −14.0494 + 14.0494i −0.547286 + 0.547286i −0.925655 0.378369i \(-0.876485\pi\)
0.378369 + 0.925655i \(0.376485\pi\)
\(660\) 2.55008 19.2635i 0.0992616 0.749829i
\(661\) −8.60461 20.7734i −0.334681 0.807990i −0.998208 0.0598384i \(-0.980941\pi\)
0.663528 0.748152i \(-0.269059\pi\)
\(662\) 14.9212 14.9212i 0.579929 0.579929i
\(663\) −21.8810 + 1.68625i −0.849787 + 0.0654886i
\(664\) 16.9580i 0.658098i
\(665\) 3.93463 + 7.99303i 0.152578 + 0.309956i
\(666\) 0.266198 + 0.0529501i 0.0103150 + 0.00205177i
\(667\) −1.88781 −0.0730962
\(668\) −20.5303 4.08374i −0.794343 0.158005i
\(669\) −4.01443 20.1819i −0.155207 0.780277i
\(670\) −21.6086 + 5.77348i −0.834813 + 0.223049i
\(671\) −19.3429 + 46.6980i −0.746726 + 1.80276i
\(672\) −3.32596 8.02957i −0.128302 0.309747i
\(673\) −13.7764 + 2.74030i −0.531043 + 0.105631i −0.453327 0.891345i \(-0.649763\pi\)
−0.0777163 + 0.996976i \(0.524763\pi\)
\(674\) −26.4646 + 5.26413i −1.01938 + 0.202767i
\(675\) −1.77004 + 26.4272i −0.0681288 + 1.01718i
\(676\) −2.22886 2.22886i −0.0857253 0.0857253i
\(677\) 32.3085 21.5878i 1.24172 0.829688i 0.251314 0.967906i \(-0.419137\pi\)
0.990402 + 0.138218i \(0.0441374\pi\)
\(678\) 14.7572 + 6.11263i 0.566747 + 0.234754i
\(679\) −9.28133 −0.356185
\(680\) −2.29033 + 8.93053i −0.0878303 + 0.342470i
\(681\) −11.1946 −0.428980
\(682\) 0.228118 + 0.0944896i 0.00873509 + 0.00361819i
\(683\) −24.1643 + 16.1461i −0.924622 + 0.617812i −0.924085 0.382187i \(-0.875171\pi\)
−0.000536757 1.00000i \(0.500171\pi\)
\(684\) 0.0677274 + 0.0677274i 0.00258962 + 0.00258962i
\(685\) −25.6943 33.5351i −0.981730 1.28131i
\(686\) −61.5989 + 12.2528i −2.35186 + 0.467814i
\(687\) −14.7472 + 2.93340i −0.562640 + 0.111916i
\(688\) 1.05995 + 2.55893i 0.0404100 + 0.0975585i
\(689\) 13.9049 33.5693i 0.529734 1.27889i
\(690\) 1.11836 1.93387i 0.0425753 0.0736211i
\(691\) 4.61724 + 23.2124i 0.175648 + 0.883043i 0.963609 + 0.267317i \(0.0861370\pi\)
−0.787961 + 0.615726i \(0.788863\pi\)
\(692\) 3.79677 + 0.755225i 0.144332 + 0.0287094i
\(693\) −3.23404 −0.122851
\(694\) −29.8614 5.93981i −1.13353 0.225472i
\(695\) 9.62624 28.2916i 0.365144 1.07316i
\(696\) 5.43599i 0.206051i
\(697\) 5.12459 2.60061i 0.194108 0.0985052i
\(698\) −12.8858 + 12.8858i −0.487735 + 0.487735i
\(699\) −7.08477 17.1042i −0.267971 0.646938i
\(700\) −16.8654 19.2868i −0.637451 0.728971i
\(701\) −9.26238 + 9.26238i −0.349835 + 0.349835i −0.860048 0.510213i \(-0.829567\pi\)
0.510213 + 0.860048i \(0.329567\pi\)
\(702\) 3.24311 16.3042i 0.122403 0.615363i
\(703\) −0.951774 + 1.42443i −0.0358968 + 0.0537234i
\(704\) 4.26003 + 2.84646i 0.160556 + 0.107280i
\(705\) 3.18534 + 6.47088i 0.119967 + 0.243707i
\(706\) 13.1143 + 5.43213i 0.493564 + 0.204441i
\(707\) 3.59455 + 18.0710i 0.135187 + 0.679630i
\(708\) 4.21092 + 2.81365i 0.158256 + 0.105743i
\(709\) 2.56004 + 3.83137i 0.0961444 + 0.143890i 0.876423 0.481541i \(-0.159923\pi\)
−0.780279 + 0.625432i \(0.784923\pi\)
\(710\) 12.9502 + 11.3734i 0.486011 + 0.426834i
\(711\) −0.231929 + 1.16599i −0.00869804 + 0.0437280i
\(712\) −2.74625 + 6.63003i −0.102920 + 0.248471i
\(713\) 0.0200723 + 0.0200723i 0.000751715 + 0.000751715i
\(714\) −35.5792 4.26979i −1.33152 0.159793i
\(715\) 2.32576 + 35.8767i 0.0869784 + 1.34171i
\(716\) −10.4305 + 4.32045i −0.389806 + 0.161463i
\(717\) 2.20728 + 3.30343i 0.0824326 + 0.123369i
\(718\) 6.54545i 0.244274i
\(719\) −14.4691 + 9.66796i −0.539607 + 0.360554i −0.795311 0.606201i \(-0.792693\pi\)
0.255704 + 0.966755i \(0.417693\pi\)
\(720\) −0.238448 0.137895i −0.00888645 0.00513906i
\(721\) −29.3207 + 43.8815i −1.09196 + 1.63423i
\(722\) 16.9952 7.03963i 0.632495 0.261988i
\(723\) 21.6964 8.98693i 0.806897 0.334228i
\(724\) 12.1553 18.1917i 0.451749 0.676090i
\(725\) −5.12933 15.1817i −0.190499 0.563835i
\(726\) −21.5068 + 14.3704i −0.798193 + 0.533335i
\(727\) 12.9759i 0.481250i −0.970618 0.240625i \(-0.922648\pi\)
0.970618 0.240625i \(-0.0773525\pi\)
\(728\) 8.93372 + 13.3703i 0.331106 + 0.495535i
\(729\) −25.8832 + 10.7212i −0.958636 + 0.397080i
\(730\) 12.0513 + 10.5840i 0.446039 + 0.391730i
\(731\) 11.3387 + 1.36073i 0.419377 + 0.0503286i
\(732\) −11.8320 11.8320i −0.437323 0.437323i
\(733\) 14.4507 34.8870i 0.533747 1.28858i −0.395277 0.918562i \(-0.629352\pi\)
0.929025 0.370018i \(-0.120648\pi\)
\(734\) 3.94067 19.8111i 0.145453 0.731240i
\(735\) 48.1939 54.8755i 1.77766 2.02411i
\(736\) 0.327245 + 0.489757i 0.0120624 + 0.0180527i
\(737\) 42.6115 + 28.4721i 1.56962 + 1.04878i
\(738\) 0.0334956 + 0.168394i 0.00123299 + 0.00619866i
\(739\) 29.1539 + 12.0760i 1.07244 + 0.444221i 0.847853 0.530232i \(-0.177895\pi\)
0.224592 + 0.974453i \(0.427895\pi\)
\(740\) 1.58697 4.66413i 0.0583383 0.171457i
\(741\) 3.44109 + 2.29926i 0.126412 + 0.0844656i
\(742\) 32.9621 49.3313i 1.21008 1.81101i
\(743\) −1.43793 + 7.22896i −0.0527525 + 0.265205i −0.998156 0.0606967i \(-0.980668\pi\)
0.945404 + 0.325901i \(0.105668\pi\)
\(744\) −0.0577989 + 0.0577989i −0.00211901 + 0.00211901i
\(745\) −13.3946 + 10.2628i −0.490739 + 0.376001i
\(746\) 6.08087 + 14.6805i 0.222637 + 0.537492i
\(747\) 1.47713 1.47713i 0.0540453 0.0540453i
\(748\) 18.8378 9.55977i 0.688779 0.349540i
\(749\) 65.7927i 2.40401i
\(750\) 18.5908 + 3.73936i 0.678841 + 0.136542i
\(751\) 1.29792 + 0.258172i 0.0473617 + 0.00942082i 0.218714 0.975789i \(-0.429814\pi\)
−0.171353 + 0.985210i \(0.554814\pi\)
\(752\) −1.90169 −0.0693473
\(753\) −2.30368 0.458229i −0.0839506 0.0166988i
\(754\) 1.96214 + 9.86437i 0.0714571 + 0.359239i
\(755\) 3.15152 + 11.7953i 0.114696 + 0.429276i
\(756\) 10.3876 25.0778i 0.377793 0.912072i
\(757\) −15.1337 36.5360i −0.550044 1.32792i −0.917446 0.397861i \(-0.869753\pi\)
0.367402 0.930062i \(-0.380247\pi\)
\(758\) −17.2190 + 3.42507i −0.625422 + 0.124404i
\(759\) −5.02031 + 0.998601i −0.182226 + 0.0362469i
\(760\) 1.38010 1.05742i 0.0500615 0.0383568i
\(761\) 17.9513 + 17.9513i 0.650734 + 0.650734i 0.953170 0.302436i \(-0.0977998\pi\)
−0.302436 + 0.953170i \(0.597800\pi\)
\(762\) −1.93529 + 1.29312i −0.0701083 + 0.0468449i
\(763\) 8.70385 + 3.60525i 0.315101 + 0.130519i
\(764\) −16.5094 −0.597287
\(765\) −0.977393 + 0.578394i −0.0353377 + 0.0209119i
\(766\) 35.1358 1.26951
\(767\) −8.65689 3.58580i −0.312582 0.129476i
\(768\) −1.41027 + 0.942312i −0.0508887 + 0.0340028i
\(769\) −7.86109 7.86109i −0.283478 0.283478i 0.551016 0.834494i \(-0.314240\pi\)
−0.834494 + 0.551016i \(0.814240\pi\)
\(770\) −7.70404 + 58.1969i −0.277634 + 2.09727i
\(771\) 32.4933 6.46332i 1.17022 0.232771i
\(772\) 3.42621 0.681515i 0.123312 0.0245283i
\(773\) −11.6628 28.1566i −0.419483 1.01272i −0.982498 0.186274i \(-0.940359\pi\)
0.563015 0.826447i \(-0.309641\pi\)
\(774\) −0.130569 + 0.315222i −0.00469322 + 0.0113304i
\(775\) −0.106883 + 0.215960i −0.00383936 + 0.00775751i
\(776\) 0.353366 + 1.77649i 0.0126851 + 0.0637723i
\(777\) 18.7812 + 3.73582i 0.673773 + 0.134022i
\(778\) 8.41967 0.301860
\(779\) −1.06289 0.211423i −0.0380821 0.00757500i
\(780\) −11.2675 3.83376i −0.403440 0.137271i
\(781\) 39.4914i 1.41311i
\(782\) 2.42144 0.186607i 0.0865904 0.00667307i
\(783\) 12.0050 12.0050i 0.429023 0.429023i
\(784\) 7.36927 + 17.7910i 0.263188 + 0.635392i
\(785\) 6.24856 + 0.827178i 0.223021 + 0.0295232i
\(786\) 0.802346 0.802346i 0.0286188 0.0286188i
\(787\) 5.92625 29.7933i 0.211248 1.06202i −0.718979 0.695032i \(-0.755390\pi\)
0.930227 0.366984i \(-0.119610\pi\)
\(788\) 2.77492 4.15296i 0.0988524 0.147943i
\(789\) 17.8766 + 11.9447i 0.636422 + 0.425244i
\(790\) 20.4296 + 6.95119i 0.726852 + 0.247312i
\(791\) −44.5830 18.4669i −1.58519 0.656607i
\(792\) 0.123129 + 0.619010i 0.00437519 + 0.0219956i
\(793\) 25.7416 + 17.2000i 0.914111 + 0.610790i
\(794\) −5.78289 8.65471i −0.205227 0.307144i
\(795\) 2.84078 + 43.8213i 0.100752 + 1.55418i
\(796\) −2.29091 + 11.5172i −0.0811991 + 0.408215i
\(797\) −13.7628 + 33.2263i −0.487503 + 1.17694i 0.468469 + 0.883480i \(0.344806\pi\)
−0.955972 + 0.293457i \(0.905194\pi\)
\(798\) 4.77841 + 4.77841i 0.169154 + 0.169154i
\(799\) −3.84233 + 6.83487i −0.135932 + 0.241800i
\(800\) −3.04947 + 3.96242i −0.107815 + 0.140093i
\(801\) −0.816720 + 0.338297i −0.0288574 + 0.0119531i
\(802\) −9.08260 13.5931i −0.320718 0.479988i
\(803\) 36.7504i 1.29689i
\(804\) −14.1064 + 9.42562i −0.497496 + 0.332416i
\(805\) −3.37868 + 5.84241i −0.119083 + 0.205918i
\(806\) 0.0840214 0.125747i 0.00295953 0.00442924i
\(807\) −5.51987 + 2.28641i −0.194309 + 0.0804853i
\(808\) 3.32202 1.37603i 0.116868 0.0484085i
\(809\) −14.4830 + 21.6754i −0.509196 + 0.762066i −0.993621 0.112767i \(-0.964029\pi\)
0.484425 + 0.874833i \(0.339029\pi\)
\(810\) 4.97269 + 18.6115i 0.174722 + 0.653940i
\(811\) 37.1784 24.8418i 1.30551 0.872315i 0.308626 0.951183i \(-0.400131\pi\)
0.996885 + 0.0788687i \(0.0251308\pi\)
\(812\) 16.4227i 0.576323i
\(813\) 15.7294 + 23.5407i 0.551653 + 0.825608i
\(814\) −10.4293 + 4.31995i −0.365546 + 0.151414i
\(815\) −33.6220 + 2.17959i −1.17773 + 0.0763478i
\(816\) 0.537342 + 6.97260i 0.0188107 + 0.244090i
\(817\) −1.52283 1.52283i −0.0532769 0.0532769i
\(818\) 2.24930 5.43029i 0.0786449 0.189865i
\(819\) −0.386444 + 1.94279i −0.0135035 + 0.0678865i
\(820\) 3.11006 0.201614i 0.108608 0.00704066i
\(821\) 19.4027 + 29.0382i 0.677160 + 1.01344i 0.997804 + 0.0662415i \(0.0211008\pi\)
−0.320644 + 0.947200i \(0.603899\pi\)
\(822\) −26.6448 17.8035i −0.929343 0.620967i
\(823\) −4.91166 24.6926i −0.171210 0.860729i −0.966925 0.255059i \(-0.917905\pi\)
0.795716 0.605670i \(-0.207095\pi\)
\(824\) 9.51544 + 3.94143i 0.331486 + 0.137306i
\(825\) −21.6713 37.6600i −0.754499 1.31115i
\(826\) −12.7216 8.50031i −0.442641 0.295763i
\(827\) −12.4114 + 18.5750i −0.431587 + 0.645915i −0.981979 0.188991i \(-0.939478\pi\)
0.550392 + 0.834906i \(0.314478\pi\)
\(828\) −0.0141556 + 0.0711650i −0.000491941 + 0.00247315i
\(829\) −27.4675 + 27.4675i −0.953985 + 0.953985i −0.998987 0.0450021i \(-0.985671\pi\)
0.0450021 + 0.998987i \(0.485671\pi\)
\(830\) −23.0623 30.0998i −0.800504 1.04478i
\(831\) 19.6020 + 47.3234i 0.679986 + 1.64163i
\(832\) 2.21900 2.21900i 0.0769300 0.0769300i
\(833\) 78.8323 + 9.46051i 2.73138 + 0.327787i
\(834\) 22.6681i 0.784934i
\(835\) −41.9943 + 20.6721i −1.45327 + 0.715386i
\(836\) −3.90716 0.777183i −0.135132 0.0268794i
\(837\) −0.255289 −0.00882408
\(838\) −21.6750 4.31142i −0.748749 0.148935i
\(839\) −1.56230 7.85419i −0.0539364 0.271157i 0.944401 0.328796i \(-0.106643\pi\)
−0.998337 + 0.0576390i \(0.981643\pi\)
\(840\) −16.8234 9.72901i −0.580462 0.335683i
\(841\) 7.16698 17.3026i 0.247137 0.596642i
\(842\) −6.34939 15.3288i −0.218814 0.528265i
\(843\) −17.9163 + 3.56377i −0.617069 + 0.122743i
\(844\) −11.0895 + 2.20584i −0.381717 + 0.0759281i
\(845\) −6.98731 0.924972i −0.240371 0.0318200i
\(846\) −0.165646 0.165646i −0.00569503 0.00569503i
\(847\) 64.9742 43.4144i 2.23254 1.49174i
\(848\) −10.6972 4.43093i −0.367344 0.152159i
\(849\) 42.6966 1.46534
\(850\) 8.07995 + 18.9661i 0.277140 + 0.650533i
\(851\) −1.29780 −0.0444880
\(852\) 12.0784 + 5.00302i 0.413798 + 0.171401i
\(853\) 37.7428 25.2189i 1.29229 0.863479i 0.296488 0.955037i \(-0.404185\pi\)
0.995800 + 0.0915575i \(0.0291845\pi\)
\(854\) 35.7456 + 35.7456i 1.22319 + 1.22319i
\(855\) 0.212321 + 0.0281068i 0.00726121 + 0.000961232i
\(856\) 12.5930 2.50491i 0.430421 0.0856161i
\(857\) 4.83926 0.962588i 0.165306 0.0328814i −0.111743 0.993737i \(-0.535643\pi\)
0.277049 + 0.960856i \(0.410643\pi\)
\(858\) 10.4360 + 25.1947i 0.356279 + 0.860133i
\(859\) 11.9272 28.7948i 0.406950 0.982465i −0.578985 0.815338i \(-0.696551\pi\)
0.985935 0.167127i \(-0.0534489\pi\)
\(860\) 5.36143 + 3.10053i 0.182823 + 0.105727i
\(861\) 2.36323 + 11.8808i 0.0805388 + 0.404896i
\(862\) −3.13334 0.623260i −0.106722 0.0212283i
\(863\) 34.9690 1.19036 0.595179 0.803593i \(-0.297081\pi\)
0.595179 + 0.803593i \(0.297081\pi\)
\(864\) −5.19550 1.03345i −0.176755 0.0351587i
\(865\) 7.76622 3.82298i 0.264059 0.129985i
\(866\) 27.8186i 0.945314i
\(867\) 26.1460 + 12.1568i 0.887964 + 0.412866i
\(868\) 0.174616 0.174616i 0.00592686 0.00592686i
\(869\) −18.9220 45.6818i −0.641886 1.54965i
\(870\) −7.39276 9.64869i −0.250638 0.327121i
\(871\) 22.1959 22.1959i 0.752079 0.752079i
\(872\) 0.358683 1.80322i 0.0121465 0.0610648i
\(873\) −0.123961 + 0.185521i −0.00419545 + 0.00627894i
\(874\) −0.380805 0.254446i −0.0128809 0.00860675i
\(875\) −56.1648 11.2970i −1.89872 0.381908i
\(876\) 11.2400 + 4.65578i 0.379766 + 0.157304i
\(877\) 1.30382 + 6.55474i 0.0440268 + 0.221338i 0.996535 0.0831755i \(-0.0265062\pi\)
−0.952508 + 0.304513i \(0.901506\pi\)
\(878\) 22.8808 + 15.2885i 0.772191 + 0.515962i
\(879\) 8.30405 + 12.4279i 0.280089 + 0.419182i
\(880\) 11.4325 0.741126i 0.385389 0.0249834i
\(881\) −7.26090 + 36.5030i −0.244626 + 1.22982i 0.641772 + 0.766895i \(0.278199\pi\)
−0.886398 + 0.462923i \(0.846801\pi\)
\(882\) −0.907784 + 2.19158i −0.0305667 + 0.0737945i
\(883\) 37.2787 + 37.2787i 1.25453 + 1.25453i 0.953668 + 0.300862i \(0.0972744\pi\)
0.300862 + 0.953668i \(0.402726\pi\)
\(884\) −3.49187 12.4588i −0.117444 0.419035i
\(885\) 11.3007 0.732583i 0.379868 0.0246255i
\(886\) −9.95910 + 4.12519i −0.334582 + 0.138589i
\(887\) −28.8551 43.1846i −0.968858 1.45000i −0.891514 0.452994i \(-0.850356\pi\)
−0.0773445 0.997004i \(-0.524644\pi\)
\(888\) 3.73705i 0.125407i
\(889\) 5.84672 3.90665i 0.196093 0.131025i
\(890\) 4.14212 + 15.5029i 0.138844 + 0.519657i
\(891\) 24.5230 36.7013i 0.821552 1.22954i
\(892\) 11.2085 4.64271i 0.375288 0.155450i
\(893\) 1.36608 0.565848i 0.0457141 0.0189354i
\(894\) −7.11106 + 10.6425i −0.237830 + 0.355937i
\(895\) −12.6381 + 21.8537i −0.422444 + 0.730490i
\(896\) 4.26057 2.84682i 0.142336 0.0951056i
\(897\) 3.13518i 0.104681i
\(898\) −9.20944 13.7829i −0.307323 0.459942i
\(899\) 0.142698 0.0591073i 0.00475923 0.00197134i
\(900\) −0.610770 + 0.0795223i −0.0203590 + 0.00265074i
\(901\) −37.5388 + 29.4943i −1.25060 + 0.982598i
\(902\) −5.04946 5.04946i −0.168129 0.168129i
\(903\) −9.21214 + 22.2401i −0.306561 + 0.740103i
\(904\) −1.83725 + 9.23648i −0.0611061 + 0.307201i
\(905\) −3.16486 48.8205i −0.105203 1.62285i
\(906\) 5.14509 + 7.70017i 0.170934 + 0.255821i
\(907\) −6.56049 4.38358i −0.217837 0.145554i 0.441864 0.897082i \(-0.354317\pi\)
−0.659702 + 0.751528i \(0.729317\pi\)
\(908\) −1.28763 6.47334i −0.0427314 0.214825i
\(909\) 0.409224 + 0.169506i 0.0135731 + 0.00562216i
\(910\) 34.0401 + 11.5822i 1.12842 + 0.383945i
\(911\) −4.98293 3.32949i −0.165092 0.110311i 0.470280 0.882517i \(-0.344153\pi\)
−0.635372 + 0.772207i \(0.719153\pi\)
\(912\) 0.732684 1.09654i 0.0242616 0.0363100i
\(913\) −16.9503 + 85.2147i −0.560972 + 2.82020i
\(914\) 8.13738 8.13738i 0.269161 0.269161i
\(915\) −37.0925 4.91026i −1.22624 0.162328i
\(916\) −3.39249 8.19020i −0.112091 0.270612i
\(917\) −2.42397 + 2.42397i −0.0800465 + 0.0800465i
\(918\) −14.2118 + 16.5851i −0.469059 + 0.547391i
\(919\) 39.9956i 1.31933i −0.751558 0.659667i \(-0.770697\pi\)
0.751558 0.659667i \(-0.229303\pi\)
\(920\) 1.24690 + 0.424259i 0.0411091 + 0.0139874i
\(921\) 3.72255 + 0.740462i 0.122662 + 0.0243991i
\(922\) 6.02105 0.198293
\(923\) −23.7237 4.71895i −0.780876 0.155326i
\(924\) 8.68718 + 43.6734i 0.285787 + 1.43675i
\(925\) −3.52623 10.4369i −0.115942 0.343163i
\(926\) 6.47228 15.6255i 0.212692 0.513484i
\(927\) 0.485525 + 1.17216i 0.0159467 + 0.0384988i
\(928\) 3.14338 0.625257i 0.103187 0.0205251i
\(929\) −27.2141 + 5.41322i −0.892865 + 0.177602i −0.620141 0.784490i \(-0.712925\pi\)
−0.272724 + 0.962092i \(0.587925\pi\)
\(930\) −0.0239865 + 0.181195i −0.000786547 + 0.00594163i
\(931\) −10.5874 10.5874i −0.346990 0.346990i
\(932\) 9.07563 6.06414i 0.297282 0.198638i
\(933\) −8.74782 3.62347i −0.286391 0.118627i
\(934\) 17.5643 0.574720
\(935\) 20.4355 42.5870i 0.668312 1.39274i
\(936\) 0.386572 0.0126355
\(937\) 16.4981 + 6.83373i 0.538969 + 0.223248i 0.635526 0.772079i \(-0.280783\pi\)
−0.0965573 + 0.995327i \(0.530783\pi\)
\(938\) 42.6170 28.4757i 1.39149 0.929766i
\(939\) −36.0871 36.0871i −1.17766 1.17766i
\(940\) −3.37542 + 2.58623i −0.110094 + 0.0843534i
\(941\) 31.6394 6.29346i 1.03141 0.205161i 0.349763 0.936838i \(-0.386262\pi\)
0.681651 + 0.731677i \(0.261262\pi\)
\(942\) 4.68918 0.932736i 0.152782 0.0303902i
\(943\) −0.314173 0.758480i −0.0102309 0.0246995i
\(944\) −1.14265 + 2.75861i −0.0371902 + 0.0897850i
\(945\) −15.6674 58.6390i −0.509661 1.90753i
\(946\) −2.76850 13.9182i −0.0900119 0.452520i
\(947\) −9.85437 1.96016i −0.320224 0.0636965i 0.0323611 0.999476i \(-0.489697\pi\)
−0.352585 + 0.935780i \(0.614697\pi\)
\(948\) 16.3689 0.531636
\(949\) −22.0771 4.39142i −0.716654 0.142551i
\(950\) 1.01157 3.75378i 0.0328197 0.121789i
\(951\) 18.3497i 0.595029i
\(952\) −1.62336 21.0649i −0.0526135 0.682718i
\(953\) −21.5576 + 21.5576i −0.698319 + 0.698319i −0.964048 0.265729i \(-0.914387\pi\)
0.265729 + 0.964048i \(0.414387\pi\)
\(954\) −0.545824 1.31774i −0.0176717 0.0426633i
\(955\) −29.3035 + 22.4521i −0.948239 + 0.726534i
\(956\) −1.65634 + 1.65634i −0.0535697 + 0.0535697i
\(957\) −5.43351 + 27.3161i −0.175640 + 0.883004i
\(958\) 2.47087 3.69792i 0.0798302 0.119474i
\(959\) 80.4965 + 53.7860i 2.59937 + 1.73684i
\(960\) −1.22167 + 3.59049i −0.0394291 + 0.115883i
\(961\) 28.6381 + 11.8623i 0.923810 + 0.382655i
\(962\) 1.34890 + 6.78140i 0.0434904 + 0.218641i
\(963\) 1.31511 + 0.878726i 0.0423787 + 0.0283166i
\(964\) 7.69227 + 11.5123i 0.247751 + 0.370786i
\(965\) 5.15456 5.86919i 0.165931 0.188936i
\(966\) −0.998728 + 5.02095i −0.0321336 + 0.161546i
\(967\) −12.6513 + 30.5429i −0.406838 + 0.982195i 0.579126 + 0.815238i \(0.303394\pi\)
−0.985964 + 0.166957i \(0.946606\pi\)
\(968\) −10.7835 10.7835i −0.346594 0.346594i
\(969\) −2.46070 4.84889i −0.0790492 0.155769i
\(970\) 3.04318 + 2.67264i 0.0977105 + 0.0858133i
\(971\) −36.3711 + 15.0654i −1.16720 + 0.483472i −0.880267 0.474478i \(-0.842637\pi\)
−0.286936 + 0.957950i \(0.592637\pi\)
\(972\) −0.710772 1.06375i −0.0227980 0.0341196i
\(973\) 68.4827i 2.19546i
\(974\) −8.04454 + 5.37519i −0.257764 + 0.172232i
\(975\) −25.2131 + 8.51856i −0.807465 + 0.272812i
\(976\) 5.48095 8.20282i 0.175441 0.262566i
\(977\) 17.0533 7.06371i 0.545583 0.225988i −0.0928297 0.995682i \(-0.529591\pi\)
0.638413 + 0.769694i \(0.279591\pi\)
\(978\) −23.6113 + 9.78012i −0.755006 + 0.312734i
\(979\) 20.4270 30.5712i 0.652850 0.977059i
\(980\) 37.2753 + 21.5564i 1.19072 + 0.688594i
\(981\) 0.188313 0.125826i 0.00601236 0.00401733i
\(982\) 38.2826i 1.22165i
\(983\) −19.6290 29.3769i −0.626068 0.936977i −0.999955 0.00950260i \(-0.996975\pi\)
0.373887 0.927474i \(-0.378025\pi\)
\(984\) 2.18406 0.904669i 0.0696254 0.0288398i
\(985\) −0.722500 11.1451i −0.0230208 0.355114i
\(986\) 4.10392 12.5610i 0.130695 0.400023i
\(987\) −11.6869 11.6869i −0.371999 0.371999i
\(988\) −0.933756 + 2.25429i −0.0297067 + 0.0717184i
\(989\) 0.318283 1.60012i 0.0101208 0.0508808i
\(990\) 1.06038 + 0.931269i 0.0337011 + 0.0295977i
\(991\) −27.8623 41.6989i −0.885075 1.32461i −0.945225 0.326419i \(-0.894158\pi\)
0.0601504 0.998189i \(-0.480842\pi\)
\(992\) −0.0400705 0.0267743i −0.00127224 0.000850084i
\(993\) −6.98249 35.1034i −0.221583 1.11397i
\(994\) −36.4900 15.1146i −1.15739 0.479407i
\(995\) 11.5967 + 23.5581i 0.367639 + 0.746843i
\(996\) −23.9154 15.9797i −0.757788 0.506338i
\(997\) 1.51379 2.26555i 0.0479422 0.0717506i −0.806724 0.590928i \(-0.798762\pi\)
0.854666 + 0.519178i \(0.173762\pi\)
\(998\) 0.578259 2.90710i 0.0183045 0.0920228i
\(999\) 8.25300 8.25300i 0.261113 0.261113i
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 170.2.r.b.37.4 yes 40
5.2 odd 4 850.2.s.d.343.2 40
5.3 odd 4 170.2.o.b.3.4 40
5.4 even 2 850.2.v.d.207.2 40
17.6 odd 16 170.2.o.b.57.4 yes 40
85.23 even 16 inner 170.2.r.b.23.4 yes 40
85.57 even 16 850.2.v.d.193.2 40
85.74 odd 16 850.2.s.d.57.2 40
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
170.2.o.b.3.4 40 5.3 odd 4
170.2.o.b.57.4 yes 40 17.6 odd 16
170.2.r.b.23.4 yes 40 85.23 even 16 inner
170.2.r.b.37.4 yes 40 1.1 even 1 trivial
850.2.s.d.57.2 40 85.74 odd 16
850.2.s.d.343.2 40 5.2 odd 4
850.2.v.d.193.2 40 85.57 even 16
850.2.v.d.207.2 40 5.4 even 2