Properties

Label 525.2.bo.a.319.33
Level $525$
Weight $2$
Character 525.319
Analytic conductor $4.192$
Analytic rank $0$
Dimension $320$
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] = [525,2,Mod(4,525)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(525, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([0, 3, 20]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("525.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 525 = 3 \cdot 5^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 525.bo (of order \(30\), 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: \(4.19214610612\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(40\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 319.33
Character \(\chi\) \(=\) 525.319
Dual form 525.2.bo.a.79.33

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.37398 + 1.23714i) q^{2} +(0.994522 - 0.104528i) q^{3} +(0.148258 + 1.41058i) q^{4} +(2.13702 - 0.658144i) q^{5} +(1.49577 + 1.08674i) q^{6} +(1.69771 + 2.02923i) q^{7} +(0.632101 - 0.870012i) q^{8} +(0.978148 - 0.207912i) q^{9} +O(q^{10})\) \(q+(1.37398 + 1.23714i) q^{2} +(0.994522 - 0.104528i) q^{3} +(0.148258 + 1.41058i) q^{4} +(2.13702 - 0.658144i) q^{5} +(1.49577 + 1.08674i) q^{6} +(1.69771 + 2.02923i) q^{7} +(0.632101 - 0.870012i) q^{8} +(0.978148 - 0.207912i) q^{9} +(3.75045 + 1.73951i) q^{10} +(-4.48694 - 0.953729i) q^{11} +(0.294892 + 1.38736i) q^{12} +(-4.95205 - 1.60902i) q^{13} +(-0.177817 + 4.88844i) q^{14} +(2.05652 - 0.877918i) q^{15} +(4.71954 - 1.00317i) q^{16} +(1.76948 + 3.97431i) q^{17} +(1.60118 + 0.924439i) q^{18} +(0.367572 - 3.49722i) q^{19} +(1.24520 + 2.91687i) q^{20} +(1.90052 + 1.84066i) q^{21} +(-4.98509 - 6.86139i) q^{22} +(-0.989862 - 0.891275i) q^{23} +(0.537697 - 0.931319i) q^{24} +(4.13369 - 2.81293i) q^{25} +(-4.81346 - 8.33715i) q^{26} +(0.951057 - 0.309017i) q^{27} +(-2.61070 + 2.69561i) q^{28} +(-5.14421 + 3.73749i) q^{29} +(3.91173 + 1.33796i) q^{30} +(-8.36555 + 3.72458i) q^{31} +(5.86301 + 3.38501i) q^{32} +(-4.56206 - 0.479491i) q^{33} +(-2.48555 + 7.64973i) q^{34} +(4.96356 + 3.21916i) q^{35} +(0.438295 + 1.34893i) q^{36} +(1.39073 + 6.54286i) q^{37} +(4.83159 - 4.35038i) q^{38} +(-5.09311 - 1.08257i) q^{39} +(0.778218 - 2.27525i) q^{40} +(1.56280 - 4.80982i) q^{41} +(0.334138 + 4.88025i) q^{42} +7.40222i q^{43} +(0.680088 - 6.47061i) q^{44} +(1.95348 - 1.08807i) q^{45} +(-0.257421 - 2.44920i) q^{46} +(1.77699 - 3.99118i) q^{47} +(4.58883 - 1.49100i) q^{48} +(-1.23556 + 6.89009i) q^{49} +(9.15963 + 1.24904i) q^{50} +(2.17521 + 3.76757i) q^{51} +(1.53547 - 7.22383i) q^{52} +(-2.88380 + 0.303099i) q^{53} +(1.68903 + 0.752007i) q^{54} +(-10.2164 + 0.914919i) q^{55} +(2.83858 - 0.194350i) q^{56} -3.51648i q^{57} +(-11.6919 - 1.22886i) q^{58} +(-5.87299 - 6.52262i) q^{59} +(1.54327 + 2.77073i) q^{60} +(1.24863 - 1.38674i) q^{61} +(-16.1020 - 5.23185i) q^{62} +(2.08251 + 1.63191i) q^{63} +(0.885945 + 2.72666i) q^{64} +(-11.6416 - 0.179339i) q^{65} +(-5.67500 - 6.30272i) q^{66} +(-1.70392 - 3.82706i) q^{67} +(-5.34375 + 3.08522i) q^{68} +(-1.07760 - 0.782924i) q^{69} +(2.83730 + 10.5637i) q^{70} +(4.86788 - 3.53672i) q^{71} +(0.437402 - 0.982422i) q^{72} +(0.217500 - 1.02326i) q^{73} +(-6.18360 + 10.7103i) q^{74} +(3.81702 - 3.22961i) q^{75} +4.98761 q^{76} +(-5.68220 - 10.7242i) q^{77} +(-5.65856 - 7.78834i) q^{78} +(3.17196 + 1.41225i) q^{79} +(9.42552 - 5.24993i) q^{80} +(0.913545 - 0.406737i) q^{81} +(8.09770 - 4.67521i) q^{82} +(9.52873 - 13.1152i) q^{83} +(-2.31463 + 2.95374i) q^{84} +(6.39707 + 7.32860i) q^{85} +(-9.15759 + 10.1705i) q^{86} +(-4.72535 + 4.25473i) q^{87} +(-3.66596 + 3.30084i) q^{88} +(-5.74373 + 6.37905i) q^{89} +(4.03016 + 0.921739i) q^{90} +(-5.14208 - 12.7805i) q^{91} +(1.11046 - 1.52842i) q^{92} +(-7.93040 + 4.57862i) q^{93} +(7.37921 - 3.28544i) q^{94} +(-1.51616 - 7.71553i) q^{95} +(6.18472 + 2.75361i) q^{96} +(7.37410 + 10.1496i) q^{97} +(-10.2217 + 7.93833i) q^{98} -4.58719 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q - 40 q^{4} - 2 q^{5} + 8 q^{6} + 60 q^{8} - 40 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q - 40 q^{4} - 2 q^{5} + 8 q^{6} + 60 q^{8} - 40 q^{9} + 4 q^{10} - 6 q^{11} + 12 q^{14} + 4 q^{15} + 40 q^{16} - 20 q^{17} + 16 q^{19} + 8 q^{20} + 40 q^{22} - 60 q^{23} - 48 q^{24} + 4 q^{25} - 30 q^{28} + 24 q^{29} - 48 q^{30} - 30 q^{31} - 80 q^{36} + 30 q^{38} - 32 q^{40} + 36 q^{41} + 10 q^{42} - 16 q^{44} + 2 q^{45} + 32 q^{46} + 16 q^{49} - 140 q^{50} + 190 q^{52} - 60 q^{53} + 4 q^{54} - 8 q^{55} + 60 q^{58} + 24 q^{59} - 46 q^{60} - 20 q^{61} + 120 q^{62} + 10 q^{63} - 4 q^{64} - 30 q^{65} - 16 q^{66} - 60 q^{67} - 32 q^{69} - 76 q^{70} + 32 q^{71} - 30 q^{72} - 40 q^{73} - 12 q^{74} - 8 q^{75} - 344 q^{76} + 4 q^{79} - 52 q^{80} + 40 q^{81} - 80 q^{83} + 48 q^{84} - 76 q^{85} + 24 q^{86} - 200 q^{88} - 52 q^{90} + 26 q^{91} + 180 q^{92} + 16 q^{94} - 38 q^{95} - 58 q^{96} - 140 q^{97} + 360 q^{98} + 8 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(176\) \(451\)
\(\chi(n)\) \(e\left(\frac{9}{10}\right)\) \(1\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.37398 + 1.23714i 0.971554 + 0.874791i 0.992157 0.124997i \(-0.0398920\pi\)
−0.0206032 + 0.999788i \(0.506559\pi\)
\(3\) 0.994522 0.104528i 0.574187 0.0603495i
\(4\) 0.148258 + 1.41058i 0.0741291 + 0.705292i
\(5\) 2.13702 0.658144i 0.955704 0.294331i
\(6\) 1.49577 + 1.08674i 0.610647 + 0.443661i
\(7\) 1.69771 + 2.02923i 0.641674 + 0.766977i
\(8\) 0.632101 0.870012i 0.223481 0.307596i
\(9\) 0.978148 0.207912i 0.326049 0.0693039i
\(10\) 3.75045 + 1.73951i 1.18600 + 0.550083i
\(11\) −4.48694 0.953729i −1.35286 0.287560i −0.526251 0.850330i \(-0.676403\pi\)
−0.826614 + 0.562769i \(0.809736\pi\)
\(12\) 0.294892 + 1.38736i 0.0851280 + 0.400496i
\(13\) −4.95205 1.60902i −1.37345 0.446261i −0.472940 0.881095i \(-0.656807\pi\)
−0.900511 + 0.434833i \(0.856807\pi\)
\(14\) −0.177817 + 4.88844i −0.0475236 + 1.30649i
\(15\) 2.05652 0.877918i 0.530990 0.226677i
\(16\) 4.71954 1.00317i 1.17989 0.250792i
\(17\) 1.76948 + 3.97431i 0.429161 + 0.963911i 0.990650 + 0.136427i \(0.0435619\pi\)
−0.561489 + 0.827484i \(0.689771\pi\)
\(18\) 1.60118 + 0.924439i 0.377401 + 0.217892i
\(19\) 0.367572 3.49722i 0.0843268 0.802316i −0.867862 0.496806i \(-0.834506\pi\)
0.952189 0.305511i \(-0.0988272\pi\)
\(20\) 1.24520 + 2.91687i 0.278435 + 0.652231i
\(21\) 1.90052 + 1.84066i 0.414728 + 0.401664i
\(22\) −4.98509 6.86139i −1.06283 1.46285i
\(23\) −0.989862 0.891275i −0.206400 0.185844i 0.559447 0.828866i \(-0.311014\pi\)
−0.765847 + 0.643022i \(0.777680\pi\)
\(24\) 0.537697 0.931319i 0.109757 0.190105i
\(25\) 4.13369 2.81293i 0.826739 0.562586i
\(26\) −4.81346 8.33715i −0.943996 1.63505i
\(27\) 0.951057 0.309017i 0.183031 0.0594703i
\(28\) −2.61070 + 2.69561i −0.493376 + 0.509423i
\(29\) −5.14421 + 3.73749i −0.955255 + 0.694034i −0.952044 0.305961i \(-0.901022\pi\)
−0.00321141 + 0.999995i \(0.501022\pi\)
\(30\) 3.91173 + 1.33796i 0.714181 + 0.244276i
\(31\) −8.36555 + 3.72458i −1.50250 + 0.668955i −0.982678 0.185321i \(-0.940667\pi\)
−0.519820 + 0.854276i \(0.674001\pi\)
\(32\) 5.86301 + 3.38501i 1.03644 + 0.598391i
\(33\) −4.56206 0.479491i −0.794152 0.0834687i
\(34\) −2.48555 + 7.64973i −0.426268 + 1.31192i
\(35\) 4.96356 + 3.21916i 0.838996 + 0.544138i
\(36\) 0.438295 + 1.34893i 0.0730492 + 0.224822i
\(37\) 1.39073 + 6.54286i 0.228634 + 1.07564i 0.931338 + 0.364156i \(0.118643\pi\)
−0.702704 + 0.711483i \(0.748024\pi\)
\(38\) 4.83159 4.35038i 0.783787 0.705725i
\(39\) −5.09311 1.08257i −0.815550 0.173351i
\(40\) 0.778218 2.27525i 0.123047 0.359748i
\(41\) 1.56280 4.80982i 0.244069 0.751167i −0.751719 0.659483i \(-0.770775\pi\)
0.995788 0.0916840i \(-0.0292250\pi\)
\(42\) 0.334138 + 4.88025i 0.0515586 + 0.753039i
\(43\) 7.40222i 1.12883i 0.825492 + 0.564414i \(0.190898\pi\)
−0.825492 + 0.564414i \(0.809102\pi\)
\(44\) 0.680088 6.47061i 0.102527 0.975481i
\(45\) 1.95348 1.08807i 0.291208 0.162200i
\(46\) −0.257421 2.44920i −0.0379547 0.361115i
\(47\) 1.77699 3.99118i 0.259200 0.582173i −0.736329 0.676623i \(-0.763443\pi\)
0.995530 + 0.0944499i \(0.0301092\pi\)
\(48\) 4.58883 1.49100i 0.662340 0.215207i
\(49\) −1.23556 + 6.89009i −0.176508 + 0.984299i
\(50\) 9.15963 + 1.24904i 1.29537 + 0.176640i
\(51\) 2.17521 + 3.76757i 0.304590 + 0.527566i
\(52\) 1.53547 7.22383i 0.212932 1.00176i
\(53\) −2.88380 + 0.303099i −0.396120 + 0.0416339i −0.300495 0.953783i \(-0.597152\pi\)
−0.0956255 + 0.995417i \(0.530485\pi\)
\(54\) 1.68903 + 0.752007i 0.229849 + 0.102335i
\(55\) −10.2164 + 0.914919i −1.37758 + 0.123368i
\(56\) 2.83858 0.194350i 0.379321 0.0259712i
\(57\) 3.51648i 0.465769i
\(58\) −11.6919 1.22886i −1.53522 0.161358i
\(59\) −5.87299 6.52262i −0.764598 0.849173i 0.227611 0.973752i \(-0.426908\pi\)
−0.992210 + 0.124579i \(0.960242\pi\)
\(60\) 1.54327 + 2.77073i 0.199236 + 0.357700i
\(61\) 1.24863 1.38674i 0.159870 0.177554i −0.657888 0.753116i \(-0.728550\pi\)
0.817758 + 0.575562i \(0.195217\pi\)
\(62\) −16.1020 5.23185i −2.04495 0.664446i
\(63\) 2.08251 + 1.63191i 0.262372 + 0.205602i
\(64\) 0.885945 + 2.72666i 0.110743 + 0.340832i
\(65\) −11.6416 0.179339i −1.44396 0.0222443i
\(66\) −5.67500 6.30272i −0.698544 0.775812i
\(67\) −1.70392 3.82706i −0.208166 0.467550i 0.779045 0.626969i \(-0.215705\pi\)
−0.987211 + 0.159419i \(0.949038\pi\)
\(68\) −5.34375 + 3.08522i −0.648025 + 0.374137i
\(69\) −1.07760 0.782924i −0.129728 0.0942530i
\(70\) 2.83730 + 10.5637i 0.339122 + 1.26261i
\(71\) 4.86788 3.53672i 0.577711 0.419732i −0.260187 0.965558i \(-0.583784\pi\)
0.837898 + 0.545827i \(0.183784\pi\)
\(72\) 0.437402 0.982422i 0.0515484 0.115780i
\(73\) 0.217500 1.02326i 0.0254564 0.119763i −0.963585 0.267403i \(-0.913834\pi\)
0.989041 + 0.147640i \(0.0471678\pi\)
\(74\) −6.18360 + 10.7103i −0.718829 + 1.24505i
\(75\) 3.81702 3.22961i 0.440751 0.372923i
\(76\) 4.98761 0.572118
\(77\) −5.68220 10.7242i −0.647546 1.22214i
\(78\) −5.65856 7.78834i −0.640705 0.881855i
\(79\) 3.17196 + 1.41225i 0.356874 + 0.158890i 0.577339 0.816504i \(-0.304091\pi\)
−0.220466 + 0.975395i \(0.570758\pi\)
\(80\) 9.42552 5.24993i 1.05381 0.586960i
\(81\) 0.913545 0.406737i 0.101505 0.0451930i
\(82\) 8.09770 4.67521i 0.894241 0.516290i
\(83\) 9.52873 13.1152i 1.04591 1.43958i 0.153616 0.988131i \(-0.450908\pi\)
0.892298 0.451447i \(-0.149092\pi\)
\(84\) −2.31463 + 2.95374i −0.252547 + 0.322279i
\(85\) 6.39707 + 7.32860i 0.693859 + 0.794898i
\(86\) −9.15759 + 10.1705i −0.987489 + 1.09672i
\(87\) −4.72535 + 4.25473i −0.506611 + 0.456155i
\(88\) −3.66596 + 3.30084i −0.390792 + 0.351871i
\(89\) −5.74373 + 6.37905i −0.608834 + 0.676178i −0.966202 0.257785i \(-0.917007\pi\)
0.357369 + 0.933963i \(0.383674\pi\)
\(90\) 4.03016 + 0.921739i 0.424816 + 0.0971598i
\(91\) −5.14208 12.7805i −0.539036 1.33976i
\(92\) 1.11046 1.52842i 0.115774 0.159349i
\(93\) −7.93040 + 4.57862i −0.822344 + 0.474781i
\(94\) 7.37921 3.28544i 0.761107 0.338867i
\(95\) −1.51616 7.71553i −0.155555 0.791597i
\(96\) 6.18472 + 2.75361i 0.631225 + 0.281040i
\(97\) 7.37410 + 10.1496i 0.748727 + 1.03053i 0.998069 + 0.0621186i \(0.0197857\pi\)
−0.249342 + 0.968416i \(0.580214\pi\)
\(98\) −10.2217 + 7.93833i −1.03254 + 0.801892i
\(99\) −4.58719 −0.461029
\(100\) 4.58073 + 5.41388i 0.458073 + 0.541388i
\(101\) 5.29370 9.16895i 0.526742 0.912345i −0.472772 0.881185i \(-0.656747\pi\)
0.999514 0.0311599i \(-0.00992009\pi\)
\(102\) −1.67232 + 7.86763i −0.165584 + 0.779012i
\(103\) 5.36228 12.0439i 0.528362 1.18672i −0.430434 0.902622i \(-0.641639\pi\)
0.958795 0.284097i \(-0.0916939\pi\)
\(104\) −4.53006 + 3.29128i −0.444209 + 0.322737i
\(105\) 5.27287 + 2.68270i 0.514579 + 0.261804i
\(106\) −4.33727 3.15121i −0.421273 0.306073i
\(107\) 7.48580 4.32193i 0.723680 0.417817i −0.0924258 0.995720i \(-0.529462\pi\)
0.816106 + 0.577903i \(0.196129\pi\)
\(108\) 0.576896 + 1.29573i 0.0555119 + 0.124682i
\(109\) 3.62516 + 4.02615i 0.347228 + 0.385635i 0.891308 0.453397i \(-0.149788\pi\)
−0.544081 + 0.839033i \(0.683121\pi\)
\(110\) −15.1690 11.3820i −1.44631 1.08523i
\(111\) 2.06702 + 6.36164i 0.196193 + 0.603820i
\(112\) 10.0481 + 7.87395i 0.949455 + 0.744018i
\(113\) −2.17211 0.705761i −0.204335 0.0663924i 0.205061 0.978749i \(-0.434261\pi\)
−0.409396 + 0.912357i \(0.634261\pi\)
\(114\) 4.35038 4.83159i 0.407451 0.452520i
\(115\) −2.70194 1.25320i −0.251957 0.116862i
\(116\) −6.03471 6.70222i −0.560308 0.622286i
\(117\) −5.17837 0.544268i −0.478740 0.0503176i
\(118\) 16.2277i 1.49388i
\(119\) −5.06073 + 10.3379i −0.463916 + 0.947673i
\(120\) 0.536127 2.34413i 0.0489414 0.213989i
\(121\) 9.17407 + 4.08456i 0.834006 + 0.371323i
\(122\) 3.43119 0.360632i 0.310645 0.0326501i
\(123\) 1.05148 4.94683i 0.0948088 0.446040i
\(124\) −6.49410 11.2481i −0.583187 1.01011i
\(125\) 6.98246 8.73185i 0.624530 0.781001i
\(126\) 0.842433 + 4.81859i 0.0750499 + 0.429274i
\(127\) −14.8580 + 4.82765i −1.31843 + 0.428385i −0.881957 0.471331i \(-0.843774\pi\)
−0.436477 + 0.899716i \(0.643774\pi\)
\(128\) 3.35124 7.52701i 0.296211 0.665300i
\(129\) 0.773743 + 7.36167i 0.0681242 + 0.648159i
\(130\) −15.7735 14.6487i −1.38343 1.28478i
\(131\) 0.299188 2.84659i 0.0261402 0.248708i −0.973647 0.228062i \(-0.926761\pi\)
0.999787 0.0206457i \(-0.00657219\pi\)
\(132\) 6.50625i 0.566296i
\(133\) 7.72069 5.19137i 0.669469 0.450149i
\(134\) 2.39346 7.36631i 0.206763 0.636352i
\(135\) 1.82905 1.28631i 0.157419 0.110708i
\(136\) 4.57618 + 0.972698i 0.392404 + 0.0834081i
\(137\) −3.88145 + 3.49487i −0.331615 + 0.298587i −0.818070 0.575118i \(-0.804956\pi\)
0.486456 + 0.873705i \(0.338289\pi\)
\(138\) −0.512022 2.40887i −0.0435862 0.205057i
\(139\) 0.101263 + 0.311656i 0.00858902 + 0.0264343i 0.955259 0.295770i \(-0.0955762\pi\)
−0.946670 + 0.322204i \(0.895576\pi\)
\(140\) −3.80501 + 7.47879i −0.321582 + 0.632073i
\(141\) 1.35006 4.15506i 0.113696 0.349919i
\(142\) 11.0638 + 1.16285i 0.928455 + 0.0975845i
\(143\) 20.6850 + 11.9425i 1.72977 + 0.998681i
\(144\) 4.40784 1.96250i 0.367320 0.163541i
\(145\) −8.53346 + 11.3727i −0.708665 + 0.944452i
\(146\) 1.56475 1.13686i 0.129500 0.0940873i
\(147\) −0.508577 + 6.98150i −0.0419468 + 0.575824i
\(148\) −9.02306 + 2.93177i −0.741691 + 0.240990i
\(149\) 8.71042 + 15.0869i 0.713586 + 1.23597i 0.963503 + 0.267699i \(0.0862633\pi\)
−0.249917 + 0.968267i \(0.580403\pi\)
\(150\) 9.24001 + 0.284753i 0.754443 + 0.0232500i
\(151\) −9.88486 + 17.1211i −0.804419 + 1.39329i 0.112264 + 0.993678i \(0.464190\pi\)
−0.916683 + 0.399615i \(0.869144\pi\)
\(152\) −2.81028 2.53039i −0.227944 0.205241i
\(153\) 2.55711 + 3.51956i 0.206730 + 0.284540i
\(154\) 5.46011 21.7646i 0.439988 1.75384i
\(155\) −15.4260 + 13.4652i −1.23905 + 1.08155i
\(156\) 0.771965 7.34475i 0.0618066 0.588051i
\(157\) −15.0228 8.67340i −1.19895 0.692212i −0.238626 0.971111i \(-0.576697\pi\)
−0.960320 + 0.278899i \(0.910030\pi\)
\(158\) 2.61108 + 5.86457i 0.207726 + 0.466560i
\(159\) −2.83632 + 0.602878i −0.224935 + 0.0478113i
\(160\) 14.7572 + 3.37512i 1.16666 + 0.266827i
\(161\) 0.128105 3.52179i 0.0100961 0.277556i
\(162\) 1.75839 + 0.571335i 0.138152 + 0.0448883i
\(163\) 2.07912 + 9.78150i 0.162849 + 0.766146i 0.981440 + 0.191769i \(0.0614224\pi\)
−0.818591 + 0.574377i \(0.805244\pi\)
\(164\) 7.01635 + 1.49137i 0.547885 + 0.116457i
\(165\) −10.0648 + 1.97781i −0.783541 + 0.153972i
\(166\) 29.3177 6.23166i 2.27549 0.483671i
\(167\) 9.41613 12.9602i 0.728642 1.00289i −0.270551 0.962706i \(-0.587206\pi\)
0.999192 0.0401835i \(-0.0127942\pi\)
\(168\) 2.80272 0.489998i 0.216234 0.0378042i
\(169\) 11.4166 + 8.29466i 0.878202 + 0.638051i
\(170\) −0.277036 + 17.9835i −0.0212477 + 1.37927i
\(171\) −0.367572 3.49722i −0.0281089 0.267439i
\(172\) −10.4414 + 1.09744i −0.796153 + 0.0836790i
\(173\) −9.75523 8.78365i −0.741676 0.667808i 0.209027 0.977910i \(-0.432970\pi\)
−0.950703 + 0.310101i \(0.899637\pi\)
\(174\) −11.7563 −0.891240
\(175\) 12.7259 + 3.61267i 0.961988 + 0.273092i
\(176\) −22.1331 −1.66834
\(177\) −6.52262 5.87299i −0.490270 0.441441i
\(178\) −15.7836 + 1.65892i −1.18303 + 0.124341i
\(179\) −0.236192 2.24722i −0.0176538 0.167965i 0.982143 0.188137i \(-0.0602451\pi\)
−0.999797 + 0.0201727i \(0.993578\pi\)
\(180\) 1.82444 + 2.59424i 0.135986 + 0.193363i
\(181\) 12.8813 + 9.35880i 0.957458 + 0.695634i 0.952559 0.304354i \(-0.0984406\pi\)
0.00489896 + 0.999988i \(0.498441\pi\)
\(182\) 8.74615 23.9217i 0.648308 1.77319i
\(183\) 1.09683 1.50966i 0.0810802 0.111597i
\(184\) −1.40111 + 0.297816i −0.103291 + 0.0219553i
\(185\) 7.27815 + 13.0669i 0.535100 + 0.960698i
\(186\) −16.5606 3.52007i −1.21429 0.258104i
\(187\) −4.14912 19.5201i −0.303414 1.42745i
\(188\) 5.89334 + 1.91486i 0.429816 + 0.139656i
\(189\) 2.24169 + 1.40529i 0.163059 + 0.102220i
\(190\) 7.46201 12.4767i 0.541351 0.905157i
\(191\) −7.03258 + 1.49482i −0.508860 + 0.108161i −0.455185 0.890397i \(-0.650427\pi\)
−0.0536749 + 0.998558i \(0.517093\pi\)
\(192\) 1.16611 + 2.61912i 0.0841564 + 0.189018i
\(193\) 21.7491 + 12.5569i 1.56554 + 0.903863i 0.996679 + 0.0814264i \(0.0259475\pi\)
0.568857 + 0.822436i \(0.307386\pi\)
\(194\) −2.42456 + 23.0682i −0.174074 + 1.65620i
\(195\) −11.5966 + 1.03852i −0.830447 + 0.0743700i
\(196\) −9.90223 0.721342i −0.707302 0.0515244i
\(197\) −12.5851 17.3219i −0.896653 1.23414i −0.971523 0.236944i \(-0.923854\pi\)
0.0748700 0.997193i \(-0.476146\pi\)
\(198\) −6.30272 5.67500i −0.447915 0.403304i
\(199\) 5.16486 8.94580i 0.366127 0.634151i −0.622829 0.782358i \(-0.714017\pi\)
0.988956 + 0.148207i \(0.0473501\pi\)
\(200\) 0.165626 5.37442i 0.0117115 0.380029i
\(201\) −2.09462 3.62799i −0.147743 0.255898i
\(202\) 18.6167 6.04895i 1.30987 0.425602i
\(203\) −16.3176 4.09362i −1.14527 0.287316i
\(204\) −4.99198 + 3.62689i −0.349509 + 0.253933i
\(205\) 0.174188 11.3072i 0.0121658 0.789731i
\(206\) 22.2677 9.91421i 1.55146 0.690756i
\(207\) −1.15354 0.665995i −0.0801764 0.0462899i
\(208\) −24.9855 2.62608i −1.73243 0.182086i
\(209\) −4.98467 + 15.3412i −0.344797 + 1.06118i
\(210\) 3.92597 + 10.2093i 0.270917 + 0.704506i
\(211\) 4.13859 + 12.7373i 0.284912 + 0.876870i 0.986425 + 0.164213i \(0.0525085\pi\)
−0.701512 + 0.712657i \(0.747492\pi\)
\(212\) −0.855094 4.02290i −0.0587281 0.276294i
\(213\) 4.47152 4.02618i 0.306384 0.275869i
\(214\) 15.6322 + 3.32273i 1.06860 + 0.227137i
\(215\) 4.87173 + 15.8187i 0.332249 + 1.07882i
\(216\) 0.332315 1.02276i 0.0226112 0.0695901i
\(217\) −21.7603 10.6524i −1.47719 0.723130i
\(218\) 10.0167i 0.678417i
\(219\) 0.109349 1.04039i 0.00738912 0.0703028i
\(220\) −2.80523 14.2754i −0.189129 0.962447i
\(221\) −2.36780 22.5281i −0.159275 1.51540i
\(222\) −5.03019 + 11.2980i −0.337605 + 0.758272i
\(223\) −27.7025 + 9.00109i −1.85510 + 0.602758i −0.859267 + 0.511527i \(0.829080\pi\)
−0.995830 + 0.0912307i \(0.970920\pi\)
\(224\) 3.08472 + 17.6442i 0.206107 + 1.17890i
\(225\) 3.45852 3.61091i 0.230568 0.240727i
\(226\) −2.11132 3.65691i −0.140443 0.243254i
\(227\) 0.446824 2.10214i 0.0296568 0.139524i −0.960828 0.277144i \(-0.910612\pi\)
0.990485 + 0.137620i \(0.0439453\pi\)
\(228\) 4.96029 0.521347i 0.328503 0.0345271i
\(229\) 11.3543 + 5.05526i 0.750313 + 0.334061i 0.746014 0.665930i \(-0.231965\pi\)
0.00429891 + 0.999991i \(0.498632\pi\)
\(230\) −2.16204 5.06456i −0.142561 0.333947i
\(231\) −6.77205 10.0715i −0.445568 0.662656i
\(232\) 6.83799i 0.448936i
\(233\) 21.9667 + 2.30880i 1.43909 + 0.151254i 0.791702 0.610907i \(-0.209195\pi\)
0.647387 + 0.762161i \(0.275862\pi\)
\(234\) −6.44166 7.15419i −0.421105 0.467684i
\(235\) 1.17068 9.69874i 0.0763670 0.632676i
\(236\) 8.32998 9.25138i 0.542235 0.602213i
\(237\) 3.30221 + 1.07295i 0.214501 + 0.0696957i
\(238\) −19.7428 + 7.94328i −1.27974 + 0.514886i
\(239\) 0.559366 + 1.72155i 0.0361824 + 0.111358i 0.967516 0.252808i \(-0.0813541\pi\)
−0.931334 + 0.364166i \(0.881354\pi\)
\(240\) 8.82512 6.20641i 0.569659 0.400622i
\(241\) 13.9259 + 15.4662i 0.897044 + 0.996268i 0.999999 + 0.00158197i \(0.000503558\pi\)
−0.102955 + 0.994686i \(0.532830\pi\)
\(242\) 7.55185 + 16.9617i 0.485452 + 1.09034i
\(243\) 0.866025 0.500000i 0.0555556 0.0320750i
\(244\) 2.14123 + 1.55570i 0.137078 + 0.0995932i
\(245\) 1.89427 + 15.5374i 0.121020 + 0.992650i
\(246\) 7.56464 5.49604i 0.482304 0.350414i
\(247\) −7.44732 + 16.7270i −0.473862 + 1.06431i
\(248\) −2.04744 + 9.63245i −0.130013 + 0.611661i
\(249\) 8.10562 14.0394i 0.513673 0.889708i
\(250\) 20.3963 3.35914i 1.28998 0.212451i
\(251\) −9.88802 −0.624126 −0.312063 0.950061i \(-0.601020\pi\)
−0.312063 + 0.950061i \(0.601020\pi\)
\(252\) −1.99320 + 3.17950i −0.125560 + 0.200290i
\(253\) 3.59142 + 4.94316i 0.225791 + 0.310774i
\(254\) −26.3871 11.7483i −1.65568 0.737155i
\(255\) 7.12807 + 6.61977i 0.446377 + 0.414546i
\(256\) 19.1548 8.52825i 1.19717 0.533015i
\(257\) −25.2023 + 14.5506i −1.57208 + 0.907639i −0.576162 + 0.817336i \(0.695450\pi\)
−0.995914 + 0.0903027i \(0.971217\pi\)
\(258\) −8.04432 + 11.0721i −0.500817 + 0.689316i
\(259\) −10.9159 + 13.9300i −0.678282 + 0.865567i
\(260\) −1.47299 16.4480i −0.0913509 1.02006i
\(261\) −4.25473 + 4.72535i −0.263361 + 0.292492i
\(262\) 3.93271 3.54103i 0.242964 0.218766i
\(263\) 2.83785 2.55521i 0.174989 0.157561i −0.576982 0.816757i \(-0.695770\pi\)
0.751971 + 0.659196i \(0.229103\pi\)
\(264\) −3.30084 + 3.66596i −0.203153 + 0.225624i
\(265\) −5.96325 + 2.54568i −0.366319 + 0.156380i
\(266\) 17.0306 + 2.41872i 1.04421 + 0.148301i
\(267\) −5.04547 + 6.94449i −0.308778 + 0.424996i
\(268\) 5.14577 2.97091i 0.314328 0.181477i
\(269\) 16.8922 7.52091i 1.02994 0.458558i 0.179014 0.983847i \(-0.442709\pi\)
0.850924 + 0.525289i \(0.176043\pi\)
\(270\) 4.10443 + 0.495424i 0.249787 + 0.0301505i
\(271\) 17.6754 + 7.86960i 1.07370 + 0.478044i 0.865947 0.500136i \(-0.166717\pi\)
0.207758 + 0.978180i \(0.433383\pi\)
\(272\) 12.3380 + 16.9818i 0.748102 + 1.02967i
\(273\) −6.44983 12.1730i −0.390362 0.736743i
\(274\) −9.65670 −0.583383
\(275\) −21.2304 + 8.67904i −1.28024 + 0.523366i
\(276\) 0.944616 1.63612i 0.0568592 0.0984831i
\(277\) 4.64214 21.8396i 0.278919 1.31221i −0.586004 0.810308i \(-0.699300\pi\)
0.864923 0.501904i \(-0.167367\pi\)
\(278\) −0.246428 + 0.553487i −0.0147798 + 0.0331960i
\(279\) −7.40836 + 5.38249i −0.443527 + 0.322241i
\(280\) 5.93819 2.28353i 0.354875 0.136467i
\(281\) 8.08684 + 5.87544i 0.482421 + 0.350499i 0.802262 0.596972i \(-0.203630\pi\)
−0.319841 + 0.947471i \(0.603630\pi\)
\(282\) 6.99536 4.03877i 0.416568 0.240506i
\(283\) −2.21131 4.96669i −0.131449 0.295239i 0.835815 0.549011i \(-0.184995\pi\)
−0.967264 + 0.253772i \(0.918329\pi\)
\(284\) 5.71054 + 6.34220i 0.338858 + 0.376340i
\(285\) −2.31435 7.51478i −0.137090 0.445137i
\(286\) 13.6463 + 41.9991i 0.806924 + 2.48346i
\(287\) 12.4134 4.99439i 0.732741 0.294809i
\(288\) 6.43867 + 2.09205i 0.379402 + 0.123275i
\(289\) −1.28885 + 1.43141i −0.0758147 + 0.0842008i
\(290\) −25.7945 + 5.06883i −1.51470 + 0.297652i
\(291\) 8.39463 + 9.32318i 0.492102 + 0.546534i
\(292\) 1.47563 + 0.155095i 0.0863550 + 0.00907627i
\(293\) 11.4588i 0.669428i 0.942320 + 0.334714i \(0.108640\pi\)
−0.942320 + 0.334714i \(0.891360\pi\)
\(294\) −9.33588 + 8.96329i −0.544480 + 0.522750i
\(295\) −16.8435 10.0737i −0.980667 0.586512i
\(296\) 6.57145 + 2.92580i 0.381958 + 0.170058i
\(297\) −4.56206 + 0.479491i −0.264717 + 0.0278229i
\(298\) −6.69663 + 31.5052i −0.387926 + 1.82505i
\(299\) 3.46776 + 6.00634i 0.200546 + 0.347356i
\(300\) 5.12154 + 4.90540i 0.295692 + 0.283214i
\(301\) −15.0208 + 12.5668i −0.865785 + 0.724340i
\(302\) −34.7628 + 11.2951i −2.00038 + 0.649962i
\(303\) 4.30628 9.67206i 0.247389 0.555646i
\(304\) −1.77353 16.8740i −0.101719 0.967790i
\(305\) 1.75566 3.78526i 0.100529 0.216744i
\(306\) −0.840764 + 7.99934i −0.0480633 + 0.457292i
\(307\) 11.8874i 0.678449i −0.940706 0.339224i \(-0.889835\pi\)
0.940706 0.339224i \(-0.110165\pi\)
\(308\) 14.2849 9.60516i 0.813960 0.547305i
\(309\) 4.07398 12.5384i 0.231761 0.713286i
\(310\) −37.8535 0.583135i −2.14994 0.0331199i
\(311\) −8.34559 1.77391i −0.473235 0.100589i −0.0348808 0.999391i \(-0.511105\pi\)
−0.438354 + 0.898802i \(0.644438\pi\)
\(312\) −4.16121 + 3.74677i −0.235582 + 0.212119i
\(313\) 1.40992 + 6.63317i 0.0796935 + 0.374929i 0.999862 0.0165933i \(-0.00528205\pi\)
−0.920169 + 0.391522i \(0.871949\pi\)
\(314\) −9.91083 30.5024i −0.559300 1.72135i
\(315\) 5.52440 + 2.11684i 0.311265 + 0.119270i
\(316\) −1.52182 + 4.68369i −0.0856093 + 0.263478i
\(317\) 24.9723 + 2.62469i 1.40258 + 0.147417i 0.775407 0.631461i \(-0.217545\pi\)
0.627175 + 0.778879i \(0.284211\pi\)
\(318\) −4.64290 2.68058i −0.260361 0.150320i
\(319\) 26.6463 11.8637i 1.49191 0.664240i
\(320\) 3.68781 + 5.24384i 0.206155 + 0.293140i
\(321\) 6.99303 5.08073i 0.390313 0.283579i
\(322\) 4.53296 4.68040i 0.252612 0.260828i
\(323\) 14.5494 4.72739i 0.809551 0.263039i
\(324\) 0.709177 + 1.22833i 0.0393987 + 0.0682406i
\(325\) −24.9963 + 7.27859i −1.38655 + 0.403743i
\(326\) −9.24441 + 16.0118i −0.512001 + 0.886811i
\(327\) 4.02615 + 3.62516i 0.222647 + 0.200472i
\(328\) −3.19675 4.39995i −0.176511 0.242947i
\(329\) 11.1158 3.16995i 0.612836 0.174765i
\(330\) −16.2757 9.73407i −0.895946 0.535843i
\(331\) −1.31758 + 12.5359i −0.0724206 + 0.689036i 0.896732 + 0.442574i \(0.145935\pi\)
−0.969153 + 0.246462i \(0.920732\pi\)
\(332\) 19.9128 + 11.4966i 1.09285 + 0.630960i
\(333\) 2.72067 + 6.11073i 0.149092 + 0.334866i
\(334\) 28.9712 6.15802i 1.58523 0.336952i
\(335\) −6.16006 7.05707i −0.336560 0.385569i
\(336\) 10.8161 + 6.78051i 0.590066 + 0.369907i
\(337\) −24.3311 7.90566i −1.32540 0.430649i −0.441055 0.897480i \(-0.645395\pi\)
−0.884346 + 0.466831i \(0.845395\pi\)
\(338\) 5.42459 + 25.5207i 0.295059 + 1.38814i
\(339\) −2.23398 0.474848i −0.121333 0.0257902i
\(340\) −9.38918 + 10.1101i −0.509200 + 0.548298i
\(341\) 41.0880 8.73353i 2.22504 0.472947i
\(342\) 3.82151 5.25986i 0.206644 0.284421i
\(343\) −16.0792 + 9.19016i −0.868196 + 0.496222i
\(344\) 6.44002 + 4.67895i 0.347223 + 0.252272i
\(345\) −2.81813 0.963905i −0.151723 0.0518949i
\(346\) −2.53692 24.1372i −0.136386 1.29762i
\(347\) 5.94502 0.624847i 0.319146 0.0335436i 0.0563986 0.998408i \(-0.482038\pi\)
0.262747 + 0.964865i \(0.415372\pi\)
\(348\) −6.70222 6.03471i −0.359277 0.323494i
\(349\) −15.0732 −0.806851 −0.403426 0.915012i \(-0.632181\pi\)
−0.403426 + 0.915012i \(0.632181\pi\)
\(350\) 13.0158 + 20.7075i 0.695724 + 1.10686i
\(351\) −5.20689 −0.277923
\(352\) −23.0786 20.7801i −1.23009 1.10758i
\(353\) −6.13419 + 0.644730i −0.326490 + 0.0343155i −0.266356 0.963875i \(-0.585820\pi\)
−0.0601344 + 0.998190i \(0.519153\pi\)
\(354\) −1.69626 16.1388i −0.0901550 0.857768i
\(355\) 8.07507 10.7618i 0.428580 0.571177i
\(356\) −9.84974 7.15626i −0.522035 0.379281i
\(357\) −3.95240 + 10.8103i −0.209183 + 0.572139i
\(358\) 2.45560 3.37984i 0.129782 0.178630i
\(359\) 10.7770 2.29073i 0.568791 0.120900i 0.0854655 0.996341i \(-0.472762\pi\)
0.483325 + 0.875441i \(0.339429\pi\)
\(360\) 0.288162 2.38733i 0.0151875 0.125823i
\(361\) 6.48940 + 1.37936i 0.341547 + 0.0725981i
\(362\) 6.12053 + 28.7948i 0.321688 + 1.51342i
\(363\) 9.55076 + 3.10323i 0.501285 + 0.162877i
\(364\) 17.2656 9.14814i 0.904963 0.479493i
\(365\) −0.208649 2.32986i −0.0109212 0.121951i
\(366\) 3.37469 0.717313i 0.176398 0.0374946i
\(367\) 1.89756 + 4.26199i 0.0990517 + 0.222474i 0.956274 0.292473i \(-0.0944782\pi\)
−0.857222 + 0.514947i \(0.827812\pi\)
\(368\) −5.56580 3.21341i −0.290137 0.167511i
\(369\) 0.528636 5.02964i 0.0275197 0.261832i
\(370\) −6.16554 + 26.9578i −0.320531 + 1.40147i
\(371\) −5.51092 5.33732i −0.286112 0.277100i
\(372\) −7.63427 10.5077i −0.395818 0.544797i
\(373\) 19.8456 + 17.8691i 1.02757 + 0.925226i 0.997235 0.0743137i \(-0.0236766\pi\)
0.0303328 + 0.999540i \(0.490343\pi\)
\(374\) 18.4483 31.9534i 0.953938 1.65227i
\(375\) 6.03148 9.41388i 0.311464 0.486131i
\(376\) −2.34914 4.06883i −0.121148 0.209834i
\(377\) 31.4880 10.2311i 1.62172 0.526928i
\(378\) 1.34150 + 4.70413i 0.0689992 + 0.241954i
\(379\) −18.8732 + 13.7122i −0.969450 + 0.704347i −0.955326 0.295554i \(-0.904496\pi\)
−0.0141238 + 0.999900i \(0.504496\pi\)
\(380\) 10.6586 3.28257i 0.546775 0.168392i
\(381\) −14.2720 + 6.35429i −0.731175 + 0.325540i
\(382\) −11.5120 6.64643i −0.589003 0.340061i
\(383\) 20.2705 + 2.13051i 1.03577 + 0.108864i 0.607124 0.794607i \(-0.292323\pi\)
0.428649 + 0.903471i \(0.358990\pi\)
\(384\) 2.54609 7.83607i 0.129930 0.399883i
\(385\) −19.2010 19.1781i −0.978575 0.977407i
\(386\) 14.3484 + 44.1597i 0.730312 + 2.24767i
\(387\) 1.53901 + 7.24046i 0.0782322 + 0.368053i
\(388\) −13.2236 + 11.9065i −0.671325 + 0.604463i
\(389\) 16.7908 + 3.56899i 0.851326 + 0.180955i 0.612856 0.790195i \(-0.290021\pi\)
0.238470 + 0.971150i \(0.423354\pi\)
\(390\) −17.2183 12.9197i −0.871882 0.654213i
\(391\) 1.79067 5.51110i 0.0905579 0.278709i
\(392\) 5.21347 + 5.43019i 0.263320 + 0.274266i
\(393\) 2.86227i 0.144382i
\(394\) 4.13792 39.3697i 0.208465 1.98342i
\(395\) 7.70800 + 0.930392i 0.387832 + 0.0468131i
\(396\) −0.680088 6.47061i −0.0341757 0.325160i
\(397\) −8.65430 + 19.4379i −0.434347 + 0.975559i 0.555249 + 0.831684i \(0.312623\pi\)
−0.989596 + 0.143875i \(0.954044\pi\)
\(398\) 18.1637 5.90173i 0.910462 0.295827i
\(399\) 7.13575 5.96996i 0.357234 0.298872i
\(400\) 16.6873 17.4225i 0.834365 0.871127i
\(401\) 7.87791 + 13.6449i 0.393404 + 0.681396i 0.992896 0.118985i \(-0.0379640\pi\)
−0.599492 + 0.800381i \(0.704631\pi\)
\(402\) 1.61036 7.57614i 0.0803173 0.377863i
\(403\) 47.4195 4.98399i 2.36214 0.248270i
\(404\) 13.7184 + 6.10783i 0.682516 + 0.303876i
\(405\) 1.68457 1.47045i 0.0837070 0.0730672i
\(406\) −17.3557 25.8117i −0.861351 1.28102i
\(407\) 30.6838i 1.52094i
\(408\) 4.65279 + 0.489028i 0.230347 + 0.0242105i
\(409\) −7.90515 8.77955i −0.390884 0.434121i 0.515296 0.857012i \(-0.327682\pi\)
−0.906180 + 0.422891i \(0.861015\pi\)
\(410\) 14.2280 15.3205i 0.702669 0.756623i
\(411\) −3.49487 + 3.88145i −0.172389 + 0.191458i
\(412\) 17.7839 + 5.77834i 0.876150 + 0.284679i
\(413\) 3.26526 22.9912i 0.160673 1.13132i
\(414\) −0.761013 2.34216i −0.0374017 0.115111i
\(415\) 11.7314 34.2986i 0.575872 1.68365i
\(416\) −23.5873 26.1964i −1.15646 1.28438i
\(417\) 0.133285 + 0.299364i 0.00652701 + 0.0146599i
\(418\) −25.8282 + 14.9119i −1.26330 + 0.729365i
\(419\) −29.3864 21.3505i −1.43562 1.04304i −0.988936 0.148346i \(-0.952605\pi\)
−0.446683 0.894692i \(-0.647395\pi\)
\(420\) −3.00242 + 7.83555i −0.146503 + 0.382336i
\(421\) −24.2598 + 17.6258i −1.18235 + 0.859028i −0.992435 0.122772i \(-0.960822\pi\)
−0.189916 + 0.981800i \(0.560822\pi\)
\(422\) −10.0715 + 22.6208i −0.490271 + 1.10117i
\(423\) 0.908343 4.27342i 0.0441652 0.207781i
\(424\) −1.55915 + 2.70053i −0.0757191 + 0.131149i
\(425\) 18.4939 + 11.4511i 0.897087 + 0.555462i
\(426\) 11.1248 0.538996
\(427\) 4.93382 + 0.179468i 0.238764 + 0.00868506i
\(428\) 7.20627 + 9.91859i 0.348328 + 0.479433i
\(429\) 21.8200 + 9.71489i 1.05348 + 0.469040i
\(430\) −12.8763 + 27.7616i −0.620949 + 1.33879i
\(431\) −22.4541 + 9.99720i −1.08158 + 0.481548i −0.868602 0.495510i \(-0.834981\pi\)
−0.212973 + 0.977058i \(0.568315\pi\)
\(432\) 4.17856 2.41249i 0.201041 0.116071i
\(433\) 21.1483 29.1081i 1.01632 1.39885i 0.101569 0.994829i \(-0.467614\pi\)
0.914752 0.404017i \(-0.132386\pi\)
\(434\) −16.7199 41.5568i −0.802579 1.99479i
\(435\) −7.29794 + 12.2024i −0.349910 + 0.585060i
\(436\) −5.14176 + 5.71051i −0.246246 + 0.273484i
\(437\) −3.48083 + 3.13415i −0.166511 + 0.149927i
\(438\) 1.43735 1.29419i 0.0686792 0.0618390i
\(439\) −9.87003 + 10.9618i −0.471071 + 0.523177i −0.931118 0.364717i \(-0.881166\pi\)
0.460048 + 0.887894i \(0.347832\pi\)
\(440\) −5.66179 + 9.46669i −0.269915 + 0.451307i
\(441\) 0.223974 + 6.99642i 0.0106654 + 0.333163i
\(442\) 24.6171 33.8825i 1.17092 1.61163i
\(443\) −5.17212 + 2.98613i −0.245735 + 0.141875i −0.617810 0.786328i \(-0.711980\pi\)
0.372075 + 0.928203i \(0.378646\pi\)
\(444\) −8.66717 + 3.85887i −0.411326 + 0.183134i
\(445\) −8.07611 + 17.4124i −0.382844 + 0.825425i
\(446\) −49.1984 21.9046i −2.32961 1.03721i
\(447\) 10.2397 + 14.0938i 0.484322 + 0.666612i
\(448\) −4.02894 + 6.42686i −0.190350 + 0.303641i
\(449\) −5.51136 −0.260097 −0.130049 0.991508i \(-0.541513\pi\)
−0.130049 + 0.991508i \(0.541513\pi\)
\(450\) 9.21915 0.682651i 0.434595 0.0321805i
\(451\) −11.5995 + 20.0909i −0.546198 + 0.946043i
\(452\) 0.673502 3.16858i 0.0316788 0.149037i
\(453\) −8.04107 + 18.0605i −0.377802 + 0.848558i
\(454\) 3.21458 2.33553i 0.150868 0.109612i
\(455\) −19.4001 23.9279i −0.909492 1.12176i
\(456\) −3.05938 2.22277i −0.143269 0.104091i
\(457\) 23.4854 13.5593i 1.09860 0.634278i 0.162748 0.986668i \(-0.447964\pi\)
0.935853 + 0.352390i \(0.114631\pi\)
\(458\) 9.34657 + 20.9927i 0.436736 + 0.980926i
\(459\) 2.91100 + 3.23299i 0.135874 + 0.150903i
\(460\) 1.36716 3.99711i 0.0637441 0.186366i
\(461\) 6.52364 + 20.0777i 0.303836 + 0.935112i 0.980109 + 0.198460i \(0.0635941\pi\)
−0.676273 + 0.736651i \(0.736406\pi\)
\(462\) 3.15518 22.2161i 0.146792 1.03359i
\(463\) −12.3877 4.02501i −0.575706 0.187058i 0.00667019 0.999978i \(-0.497877\pi\)
−0.582376 + 0.812920i \(0.697877\pi\)
\(464\) −20.5290 + 22.7997i −0.953034 + 1.05845i
\(465\) −13.9340 + 15.0039i −0.646175 + 0.695791i
\(466\) 27.3257 + 30.3482i 1.26584 + 1.40585i
\(467\) −11.3678 1.19481i −0.526041 0.0552892i −0.162214 0.986756i \(-0.551863\pi\)
−0.363827 + 0.931466i \(0.618530\pi\)
\(468\) 7.38521i 0.341382i
\(469\) 4.87323 9.95488i 0.225025 0.459674i
\(470\) 13.6072 11.8776i 0.627654 0.547874i
\(471\) −15.8471 7.05558i −0.730195 0.325104i
\(472\) −9.38708 + 0.986622i −0.432076 + 0.0454130i
\(473\) 7.05971 33.2133i 0.324606 1.52715i
\(474\) 3.20979 + 5.55951i 0.147430 + 0.255357i
\(475\) −8.31800 15.4904i −0.381656 0.710747i
\(476\) −15.3328 5.60590i −0.702776 0.256946i
\(477\) −2.75776 + 0.896052i −0.126269 + 0.0410274i
\(478\) −1.36124 + 3.05740i −0.0622617 + 0.139842i
\(479\) 3.10542 + 29.5461i 0.141890 + 1.35000i 0.801323 + 0.598233i \(0.204130\pi\)
−0.659432 + 0.751764i \(0.729203\pi\)
\(480\) 15.0291 + 1.81409i 0.685983 + 0.0828013i
\(481\) 3.64063 34.6382i 0.165998 1.57937i
\(482\) 38.4786i 1.75265i
\(483\) −0.240724 3.51588i −0.0109533 0.159978i
\(484\) −4.40148 + 13.5464i −0.200067 + 0.615743i
\(485\) 22.4385 + 16.8366i 1.01888 + 0.764512i
\(486\) 1.80848 + 0.384404i 0.0820342 + 0.0174369i
\(487\) 1.04603 0.941850i 0.0474001 0.0426793i −0.645090 0.764106i \(-0.723180\pi\)
0.692490 + 0.721427i \(0.256514\pi\)
\(488\) −0.417223 1.96288i −0.0188868 0.0888554i
\(489\) 3.09018 + 9.51059i 0.139743 + 0.430084i
\(490\) −16.6193 + 23.6917i −0.750784 + 1.07028i
\(491\) 13.3990 41.2380i 0.604690 1.86104i 0.105780 0.994390i \(-0.466266\pi\)
0.498909 0.866654i \(-0.333734\pi\)
\(492\) 7.13380 + 0.749793i 0.321617 + 0.0338033i
\(493\) −23.9565 13.8313i −1.07894 0.622929i
\(494\) −30.9261 + 13.7692i −1.39143 + 0.619505i
\(495\) −9.80290 + 3.01903i −0.440607 + 0.135695i
\(496\) −35.7452 + 25.9704i −1.60501 + 1.16611i
\(497\) 15.4411 + 3.87372i 0.692627 + 0.173760i
\(498\) 28.5057 9.26205i 1.27737 0.415042i
\(499\) −6.48365 11.2300i −0.290248 0.502724i 0.683620 0.729838i \(-0.260404\pi\)
−0.973868 + 0.227114i \(0.927071\pi\)
\(500\) 13.3522 + 8.55477i 0.597129 + 0.382581i
\(501\) 8.00983 13.8734i 0.357853 0.619820i
\(502\) −13.5860 12.2329i −0.606373 0.545980i
\(503\) −21.3975 29.4511i −0.954066 1.31316i −0.949698 0.313168i \(-0.898610\pi\)
−0.00436824 0.999990i \(-0.501390\pi\)
\(504\) 2.73614 0.780278i 0.121878 0.0347563i
\(505\) 5.27823 23.0782i 0.234878 1.02697i
\(506\) −1.18084 + 11.2349i −0.0524947 + 0.499453i
\(507\) 12.2211 + 7.05586i 0.542758 + 0.313362i
\(508\) −9.01263 20.2427i −0.399871 0.898124i
\(509\) −4.83688 + 1.02811i −0.214391 + 0.0455702i −0.313855 0.949471i \(-0.601621\pi\)
0.0994639 + 0.995041i \(0.468287\pi\)
\(510\) 1.60426 + 17.9139i 0.0710380 + 0.793241i
\(511\) 2.44568 1.29584i 0.108190 0.0573244i
\(512\) 21.1968 + 6.88727i 0.936777 + 0.304377i
\(513\) −0.731117 3.43964i −0.0322796 0.151864i
\(514\) −52.6287 11.1866i −2.32135 0.493418i
\(515\) 3.53268 29.2672i 0.155669 1.28967i
\(516\) −10.2695 + 2.18286i −0.452091 + 0.0960949i
\(517\) −11.7797 + 16.2134i −0.518073 + 0.713066i
\(518\) −32.2317 + 5.63505i −1.41618 + 0.247590i
\(519\) −10.6199 7.71583i −0.466163 0.338687i
\(520\) −7.51468 + 10.0150i −0.329541 + 0.439185i
\(521\) 2.00150 + 19.0430i 0.0876874 + 0.834290i 0.946653 + 0.322256i \(0.104441\pi\)
−0.858965 + 0.512034i \(0.828892\pi\)
\(522\) −11.6919 + 1.22886i −0.511739 + 0.0537859i
\(523\) 0.403975 + 0.363741i 0.0176646 + 0.0159053i 0.677916 0.735140i \(-0.262883\pi\)
−0.660251 + 0.751045i \(0.729550\pi\)
\(524\) 4.05971 0.177349
\(525\) 13.0338 + 2.26266i 0.568842 + 0.0987507i
\(526\) 7.06031 0.307844
\(527\) −29.6053 26.6567i −1.28963 1.16118i
\(528\) −22.0118 + 2.31354i −0.957942 + 0.100684i
\(529\) −2.21870 21.1095i −0.0964652 0.917805i
\(530\) −11.3428 3.87965i −0.492699 0.168521i
\(531\) −7.10078 5.15902i −0.308148 0.223882i
\(532\) 8.46752 + 10.1210i 0.367113 + 0.438802i
\(533\) −15.4782 + 21.3039i −0.670434 + 0.922773i
\(534\) −15.5237 + 3.29967i −0.671777 + 0.142791i
\(535\) 13.1528 14.1628i 0.568647 0.612310i
\(536\) −4.40664 0.936659i −0.190338 0.0404575i
\(537\) −0.469796 2.21022i −0.0202732 0.0953779i
\(538\) 32.5141 + 10.5645i 1.40178 + 0.455467i
\(539\) 12.1152 29.7371i 0.521837 1.28087i
\(540\) 2.08561 + 2.38932i 0.0897506 + 0.102820i
\(541\) −40.2093 + 8.54676i −1.72873 + 0.367454i −0.961690 0.274140i \(-0.911607\pi\)
−0.767045 + 0.641594i \(0.778274\pi\)
\(542\) 14.5499 + 32.6797i 0.624973 + 1.40371i
\(543\) 13.7890 + 7.96107i 0.591742 + 0.341642i
\(544\) −3.07862 + 29.2911i −0.131995 + 1.25584i
\(545\) 10.3968 + 6.21808i 0.445351 + 0.266353i
\(546\) 6.19774 24.7049i 0.265239 1.05727i
\(547\) 12.1759 + 16.7586i 0.520603 + 0.716548i 0.985662 0.168731i \(-0.0539671\pi\)
−0.465059 + 0.885279i \(0.653967\pi\)
\(548\) −5.50527 4.95696i −0.235173 0.211751i
\(549\) 0.933021 1.61604i 0.0398204 0.0689709i
\(550\) −39.9075 14.3402i −1.70166 0.611467i
\(551\) 11.1799 + 19.3642i 0.476281 + 0.824943i
\(552\) −1.36231 + 0.442641i −0.0579837 + 0.0188400i
\(553\) 2.51930 + 8.83423i 0.107131 + 0.375670i
\(554\) 33.3969 24.2643i 1.41890 1.03089i
\(555\) 8.60414 + 12.2345i 0.365226 + 0.519328i
\(556\) −0.424603 + 0.189046i −0.0180072 + 0.00801732i
\(557\) −9.81155 5.66470i −0.415729 0.240021i 0.277520 0.960720i \(-0.410488\pi\)
−0.693248 + 0.720699i \(0.743821\pi\)
\(558\) −16.8379 1.76973i −0.712804 0.0749187i
\(559\) 11.9103 36.6561i 0.503752 1.55039i
\(560\) 26.6551 + 10.2137i 1.12638 + 0.431607i
\(561\) −6.16680 18.9795i −0.260362 0.801313i
\(562\) 3.84245 + 18.0773i 0.162084 + 0.762546i
\(563\) 11.4106 10.2741i 0.480898 0.433002i −0.392689 0.919672i \(-0.628455\pi\)
0.873586 + 0.486669i \(0.161788\pi\)
\(564\) 6.06122 + 1.28835i 0.255223 + 0.0542494i
\(565\) −5.10633 0.0786632i −0.214825 0.00330939i
\(566\) 3.10619 9.55987i 0.130563 0.401831i
\(567\) 2.37630 + 1.16327i 0.0997952 + 0.0488529i
\(568\) 6.47068i 0.271504i
\(569\) −1.90250 + 18.1011i −0.0797569 + 0.758836i 0.879423 + 0.476041i \(0.157928\pi\)
−0.959180 + 0.282796i \(0.908738\pi\)
\(570\) 6.11696 13.1884i 0.256211 0.552400i
\(571\) −4.67323 44.4628i −0.195569 1.86071i −0.449229 0.893417i \(-0.648301\pi\)
0.253660 0.967293i \(-0.418366\pi\)
\(572\) −13.7792 + 30.9485i −0.576135 + 1.29402i
\(573\) −6.83780 + 2.22174i −0.285653 + 0.0928144i
\(574\) 23.2346 + 8.49495i 0.969794 + 0.354572i
\(575\) −6.59888 0.899845i −0.275192 0.0375261i
\(576\) 1.43349 + 2.48288i 0.0597287 + 0.103453i
\(577\) 5.33103 25.0805i 0.221934 1.04412i −0.716214 0.697881i \(-0.754126\pi\)
0.938148 0.346235i \(-0.112540\pi\)
\(578\) −3.54172 + 0.372250i −0.147316 + 0.0154836i
\(579\) 22.9425 + 10.2147i 0.953459 + 0.424507i
\(580\) −17.3073 10.3511i −0.718647 0.429804i
\(581\) 42.7907 2.92977i 1.77526 0.121547i
\(582\) 23.1952i 0.961474i
\(583\) 13.2285 + 1.39037i 0.547869 + 0.0575834i
\(584\) −0.752764 0.836029i −0.0311496 0.0345951i
\(585\) −11.4245 + 2.24500i −0.472344 + 0.0928194i
\(586\) −14.1761 + 15.7442i −0.585609 + 0.650385i
\(587\) −7.25671 2.35785i −0.299517 0.0973188i 0.155404 0.987851i \(-0.450332\pi\)
−0.454920 + 0.890532i \(0.650332\pi\)
\(588\) −9.92339 + 0.317675i −0.409234 + 0.0131007i
\(589\) 9.95073 + 30.6252i 0.410013 + 1.26189i
\(590\) −10.6802 34.6789i −0.439695 1.42771i
\(591\) −14.3268 15.9115i −0.589327 0.654514i
\(592\) 13.1272 + 29.4842i 0.539524 + 1.21179i
\(593\) −9.91637 + 5.72522i −0.407216 + 0.235106i −0.689593 0.724197i \(-0.742211\pi\)
0.282377 + 0.959304i \(0.408877\pi\)
\(594\) −6.86139 4.98509i −0.281526 0.204541i
\(595\) −4.01104 + 25.4230i −0.164437 + 1.04224i
\(596\) −19.9899 + 14.5235i −0.818819 + 0.594907i
\(597\) 4.20148 9.43667i 0.171955 0.386217i
\(598\) −2.66604 + 12.5427i −0.109023 + 0.512911i
\(599\) −14.7349 + 25.5216i −0.602053 + 1.04279i 0.390457 + 0.920621i \(0.372317\pi\)
−0.992510 + 0.122165i \(0.961016\pi\)
\(600\) −0.397062 5.36229i −0.0162100 0.218915i
\(601\) 9.03917 0.368716 0.184358 0.982859i \(-0.440979\pi\)
0.184358 + 0.982859i \(0.440979\pi\)
\(602\) −36.1853 1.31624i −1.47480 0.0536460i
\(603\) −2.46237 3.38916i −0.100276 0.138017i
\(604\) −25.6162 11.4051i −1.04231 0.464066i
\(605\) 22.2934 + 2.69092i 0.906355 + 0.109401i
\(606\) 17.8825 7.96179i 0.726426 0.323426i
\(607\) −10.7625 + 6.21372i −0.436836 + 0.252207i −0.702255 0.711926i \(-0.747823\pi\)
0.265419 + 0.964133i \(0.414490\pi\)
\(608\) 13.9932 19.2600i 0.567498 0.781095i
\(609\) −16.6561 2.36554i −0.674940 0.0958564i
\(610\) 7.09516 3.02889i 0.287275 0.122636i
\(611\) −15.2216 + 16.9053i −0.615800 + 0.683916i
\(612\) −4.58553 + 4.12883i −0.185359 + 0.166898i
\(613\) 23.4178 21.0855i 0.945838 0.851636i −0.0432350 0.999065i \(-0.513766\pi\)
0.989073 + 0.147429i \(0.0470997\pi\)
\(614\) 14.7064 16.3331i 0.593501 0.659149i
\(615\) −1.00869 11.2635i −0.0406744 0.454188i
\(616\) −12.9219 1.83520i −0.520639 0.0739423i
\(617\) −2.70725 + 3.72620i −0.108990 + 0.150011i −0.860027 0.510248i \(-0.829554\pi\)
0.751038 + 0.660259i \(0.229554\pi\)
\(618\) 21.1094 12.1875i 0.849144 0.490254i
\(619\) 18.4620 8.21979i 0.742049 0.330381i −0.000656533 1.00000i \(-0.500209\pi\)
0.742705 + 0.669618i \(0.233542\pi\)
\(620\) −21.2809 19.7634i −0.854661 0.793716i
\(621\) −1.21683 0.541769i −0.0488299 0.0217405i
\(622\) −9.27214 12.7620i −0.371779 0.511710i
\(623\) −22.6958 0.825559i −0.909286 0.0330753i
\(624\) −25.1232 −1.00573
\(625\) 9.17483 23.2556i 0.366993 0.930224i
\(626\) −6.26895 + 10.8581i −0.250558 + 0.433979i
\(627\) −3.35377 + 15.7782i −0.133937 + 0.630122i
\(628\) 10.0073 22.4768i 0.399335 0.896920i
\(629\) −23.5425 + 17.1046i −0.938699 + 0.682005i
\(630\) 4.97162 + 9.74297i 0.198074 + 0.388169i
\(631\) −16.7569 12.1746i −0.667083 0.484664i 0.201964 0.979393i \(-0.435268\pi\)
−0.869048 + 0.494729i \(0.835268\pi\)
\(632\) 3.23367 1.86696i 0.128629 0.0742638i
\(633\) 5.44733 + 12.2349i 0.216512 + 0.486294i
\(634\) 31.0644 + 34.5005i 1.23372 + 1.37019i
\(635\) −28.5745 + 20.0955i −1.13394 + 0.797465i
\(636\) −1.27092 3.91148i −0.0503952 0.155100i
\(637\) 17.2048 32.1320i 0.681680 1.27312i
\(638\) 51.2887 + 16.6647i 2.03054 + 0.659762i
\(639\) 4.02618 4.47152i 0.159273 0.176891i
\(640\) 2.20780 18.2910i 0.0872711 0.723013i
\(641\) −16.3266 18.1325i −0.644861 0.716191i 0.328747 0.944418i \(-0.393374\pi\)
−0.973608 + 0.228227i \(0.926707\pi\)
\(642\) 15.8939 + 1.67052i 0.627282 + 0.0659300i
\(643\) 26.8384i 1.05840i −0.848496 0.529202i \(-0.822491\pi\)
0.848496 0.529202i \(-0.177509\pi\)
\(644\) 4.98677 0.341431i 0.196506 0.0134543i
\(645\) 6.49854 + 15.2228i 0.255880 + 0.599397i
\(646\) 25.8391 + 11.5043i 1.01663 + 0.452632i
\(647\) −44.8531 + 4.71425i −1.76336 + 0.185336i −0.930040 0.367458i \(-0.880228\pi\)
−0.833318 + 0.552794i \(0.813562\pi\)
\(648\) 0.223587 1.05189i 0.00878333 0.0413223i
\(649\) 20.1310 + 34.8679i 0.790210 + 1.36868i
\(650\) −43.3492 20.9233i −1.70029 0.820679i
\(651\) −22.7546 8.31944i −0.891823 0.326065i
\(652\) −13.4894 + 4.38296i −0.528285 + 0.171650i
\(653\) 8.12519 18.2495i 0.317963 0.714157i −0.681887 0.731458i \(-0.738840\pi\)
0.999850 + 0.0173001i \(0.00550708\pi\)
\(654\) 1.04703 + 9.96184i 0.0409422 + 0.389539i
\(655\) −1.23409 6.28012i −0.0482200 0.245385i
\(656\) 2.55066 24.2679i 0.0995865 0.947503i
\(657\) 1.04612i 0.0408129i
\(658\) 19.1947 + 9.39640i 0.748286 + 0.366310i
\(659\) 3.20078 9.85098i 0.124685 0.383740i −0.869159 0.494533i \(-0.835339\pi\)
0.993843 + 0.110793i \(0.0353391\pi\)
\(660\) −4.28205 13.9040i −0.166679 0.541211i
\(661\) −34.8863 7.41531i −1.35692 0.288422i −0.528692 0.848814i \(-0.677317\pi\)
−0.828228 + 0.560391i \(0.810651\pi\)
\(662\) −17.3190 + 15.5941i −0.673123 + 0.606082i
\(663\) −4.70965 22.1572i −0.182908 0.860513i
\(664\) −5.38724 16.5802i −0.209066 0.643438i
\(665\) 13.0826 16.1754i 0.507321 0.627254i
\(666\) −3.82168 + 11.7619i −0.148087 + 0.455765i
\(667\) 8.42318 + 0.885312i 0.326147 + 0.0342794i
\(668\) 19.6774 + 11.3608i 0.761343 + 0.439562i
\(669\) −26.6099 + 11.8475i −1.02880 + 0.458050i
\(670\) 0.266772 17.3172i 0.0103063 0.669021i
\(671\) −6.92509 + 5.03137i −0.267340 + 0.194234i
\(672\) 4.91214 + 17.2251i 0.189490 + 0.664471i
\(673\) 32.8937 10.6878i 1.26796 0.411985i 0.403634 0.914920i \(-0.367747\pi\)
0.864324 + 0.502936i \(0.167747\pi\)
\(674\) −23.6502 40.9633i −0.910971 1.57785i
\(675\) 3.06213 3.95264i 0.117861 0.152137i
\(676\) −10.0077 + 17.3338i −0.384912 + 0.666686i
\(677\) −6.44483 5.80295i −0.247695 0.223025i 0.535926 0.844265i \(-0.319963\pi\)
−0.783621 + 0.621240i \(0.786629\pi\)
\(678\) −2.48200 3.41619i −0.0953208 0.131198i
\(679\) −8.07675 + 32.1948i −0.309957 + 1.23552i
\(680\) 10.4196 0.933115i 0.399572 0.0357833i
\(681\) 0.224643 2.13733i 0.00860833 0.0819028i
\(682\) 67.2589 + 38.8319i 2.57548 + 1.48695i
\(683\) −7.34114 16.4885i −0.280901 0.630914i 0.716902 0.697174i \(-0.245560\pi\)
−0.997802 + 0.0662609i \(0.978893\pi\)
\(684\) 4.87862 1.03698i 0.186539 0.0396500i
\(685\) −5.99460 + 10.0232i −0.229042 + 0.382965i
\(686\) −33.4621 7.26512i −1.27759 0.277384i
\(687\) 11.8205 + 3.84072i 0.450981 + 0.146533i
\(688\) 7.42568 + 34.9351i 0.283102 + 1.33189i
\(689\) 14.7684 + 3.13912i 0.562631 + 0.119591i
\(690\) −2.67959 4.81082i −0.102010 0.183145i
\(691\) −0.0305085 + 0.00648478i −0.00116060 + 0.000246693i −0.208492 0.978024i \(-0.566856\pi\)
0.207331 + 0.978271i \(0.433522\pi\)
\(692\) 10.9438 15.0628i 0.416020 0.572602i
\(693\) −7.78771 9.30846i −0.295831 0.353599i
\(694\) 8.94140 + 6.49630i 0.339411 + 0.246596i
\(695\) 0.421516 + 0.599368i 0.0159890 + 0.0227353i
\(696\) 0.714765 + 6.80053i 0.0270931 + 0.257774i
\(697\) 21.8810 2.29979i 0.828803 0.0871108i
\(698\) −20.7104 18.6477i −0.783900 0.705826i
\(699\) 22.0877 0.835435
\(700\) −3.20926 + 18.4866i −0.121298 + 0.698726i
\(701\) −24.0681 −0.909041 −0.454520 0.890736i \(-0.650189\pi\)
−0.454520 + 0.890736i \(0.650189\pi\)
\(702\) −7.15419 6.44166i −0.270017 0.243125i
\(703\) 23.3930 2.45870i 0.882283 0.0927316i
\(704\) −1.37469 13.0793i −0.0518106 0.492945i
\(705\) 0.150476 9.76798i 0.00566726 0.367883i
\(706\) −9.22591 6.70301i −0.347222 0.252271i
\(707\) 27.5931 4.82409i 1.03774 0.181429i
\(708\) 7.31731 10.0714i 0.275001 0.378507i
\(709\) 3.71148 0.788900i 0.139388 0.0296278i −0.137689 0.990475i \(-0.543968\pi\)
0.277077 + 0.960848i \(0.410634\pi\)
\(710\) 24.4089 4.79655i 0.916050 0.180011i
\(711\) 3.39627 + 0.721899i 0.127370 + 0.0270733i
\(712\) 1.91924 + 9.02932i 0.0719266 + 0.338388i
\(713\) 11.6004 + 3.76919i 0.434437 + 0.141157i
\(714\) −18.8044 + 9.96345i −0.703735 + 0.372873i
\(715\) 52.0641 + 11.9076i 1.94709 + 0.445319i
\(716\) 3.13487 0.666337i 0.117155 0.0249022i
\(717\) 0.736252 + 1.65365i 0.0274958 + 0.0617567i
\(718\) 17.6415 + 10.1853i 0.658373 + 0.380112i
\(719\) 3.96413 37.7162i 0.147837 1.40658i −0.629260 0.777195i \(-0.716642\pi\)
0.777097 0.629381i \(-0.216691\pi\)
\(720\) 8.12803 7.09488i 0.302914 0.264411i
\(721\) 33.5434 9.56572i 1.24922 0.356246i
\(722\) 7.20986 + 9.92352i 0.268323 + 0.369315i
\(723\) 15.4662 + 13.9259i 0.575196 + 0.517908i
\(724\) −11.2916 + 19.5576i −0.419649 + 0.726854i
\(725\) −10.7513 + 29.9199i −0.399293 + 1.11120i
\(726\) 9.28347 + 16.0794i 0.344542 + 0.596764i
\(727\) 32.7157 10.6300i 1.21336 0.394243i 0.368698 0.929549i \(-0.379804\pi\)
0.844658 + 0.535306i \(0.179804\pi\)
\(728\) −14.3695 3.60489i −0.532569 0.133606i
\(729\) 0.809017 0.587785i 0.0299636 0.0217698i
\(730\) 2.59569 3.45933i 0.0960708 0.128035i
\(731\) −29.4187 + 13.0980i −1.08809 + 0.484449i
\(732\) 2.29212 + 1.32335i 0.0847190 + 0.0489126i
\(733\) 0.0992097 + 0.0104274i 0.00366439 + 0.000385143i 0.106360 0.994328i \(-0.466080\pi\)
−0.102696 + 0.994713i \(0.532747\pi\)
\(734\) −2.66546 + 8.20345i −0.0983840 + 0.302795i
\(735\) 3.50799 + 15.2543i 0.129394 + 0.562664i
\(736\) −2.78659 8.57624i −0.102715 0.316125i
\(737\) 3.99540 + 18.7969i 0.147172 + 0.692392i
\(738\) 6.94871 6.25665i 0.255786 0.230310i
\(739\) −38.0185 8.08108i −1.39853 0.297267i −0.553887 0.832592i \(-0.686856\pi\)
−0.844647 + 0.535324i \(0.820189\pi\)
\(740\) −17.3529 + 12.2037i −0.637906 + 0.448617i
\(741\) −5.65808 + 17.4138i −0.207855 + 0.639711i
\(742\) −0.968895 14.1512i −0.0355693 0.519506i
\(743\) 4.89267i 0.179495i −0.995965 0.0897474i \(-0.971394\pi\)
0.995965 0.0897474i \(-0.0286060\pi\)
\(744\) −1.02936 + 9.79370i −0.0377381 + 0.359054i
\(745\) 28.5437 + 26.5082i 1.04576 + 0.971187i
\(746\) 5.16101 + 49.1037i 0.188958 + 1.79781i
\(747\) 6.59371 14.8097i 0.241251 0.541859i
\(748\) 26.9196 8.74670i 0.984277 0.319811i
\(749\) 21.4789 + 7.85304i 0.784823 + 0.286944i
\(750\) 19.9335 5.47273i 0.727868 0.199836i
\(751\) −6.40760 11.0983i −0.233817 0.404982i 0.725111 0.688631i \(-0.241788\pi\)
−0.958928 + 0.283649i \(0.908455\pi\)
\(752\) 4.38274 20.6192i 0.159822 0.751904i
\(753\) −9.83386 + 1.03358i −0.358366 + 0.0376657i
\(754\) 55.9214 + 24.8978i 2.03654 + 0.906725i
\(755\) −9.85599 + 43.0937i −0.358696 + 1.56834i
\(756\) −1.64993 + 3.37043i −0.0600075 + 0.122581i
\(757\) 12.0144i 0.436670i 0.975874 + 0.218335i \(0.0700625\pi\)
−0.975874 + 0.218335i \(0.929937\pi\)
\(758\) −42.8953 4.50848i −1.55803 0.163755i
\(759\) 4.08845 + 4.54068i 0.148401 + 0.164816i
\(760\) −7.67097 3.55791i −0.278255 0.129059i
\(761\) 22.3105 24.7784i 0.808756 0.898215i −0.187709 0.982225i \(-0.560106\pi\)
0.996465 + 0.0840101i \(0.0267728\pi\)
\(762\) −27.4706 8.92575i −0.995156 0.323346i
\(763\) −2.01551 + 14.1915i −0.0729665 + 0.513768i
\(764\) −3.15121 9.69842i −0.114007 0.350877i
\(765\) 7.78098 + 5.83842i 0.281322 + 0.211089i
\(766\) 25.2156 + 28.0047i 0.911076 + 1.01185i
\(767\) 18.5883 + 41.7501i 0.671186 + 1.50751i
\(768\) 18.1584 10.4837i 0.655234 0.378300i
\(769\) −0.902492 0.655699i −0.0325447 0.0236451i 0.571394 0.820676i \(-0.306403\pi\)
−0.603939 + 0.797031i \(0.706403\pi\)
\(770\) −2.65588 50.1048i −0.0957113 1.80565i
\(771\) −23.5433 + 17.1052i −0.847891 + 0.616029i
\(772\) −14.4880 + 32.5406i −0.521435 + 1.17116i
\(773\) −0.760599 + 3.57834i −0.0273568 + 0.128704i −0.989707 0.143109i \(-0.954290\pi\)
0.962350 + 0.271813i \(0.0876233\pi\)
\(774\) −6.84290 + 11.8523i −0.245963 + 0.426021i
\(775\) −24.1036 + 38.9280i −0.865828 + 1.39834i
\(776\) 13.4914 0.484315
\(777\) −9.40004 + 14.9947i −0.337224 + 0.537932i
\(778\) 18.6549 + 25.6763i 0.668811 + 0.920540i
\(779\) −16.2465 7.23342i −0.582092 0.259164i
\(780\) −3.18420 16.2039i −0.114013 0.580194i
\(781\) −25.2150 + 11.2264i −0.902263 + 0.401713i
\(782\) 9.27836 5.35687i 0.331794 0.191561i
\(783\) −3.73749 + 5.14421i −0.133567 + 0.183839i
\(784\) 1.08067 + 33.7576i 0.0385954 + 1.20563i
\(785\) −37.8123 8.64806i −1.34958 0.308663i
\(786\) 3.54103 3.93271i 0.126304 0.140275i
\(787\) 7.65001 6.88810i 0.272693 0.245534i −0.521425 0.853297i \(-0.674600\pi\)
0.794119 + 0.607763i \(0.207933\pi\)
\(788\) 22.5682 20.3205i 0.803959 0.723888i
\(789\) 2.55521 2.83785i 0.0909678 0.101030i
\(790\) 9.43965 + 10.8142i 0.335848 + 0.384753i
\(791\) −2.25546 5.60589i −0.0801949 0.199322i
\(792\) −2.89956 + 3.99091i −0.103032 + 0.141811i
\(793\) −8.41455 + 4.85814i −0.298809 + 0.172518i
\(794\) −35.9383 + 16.0008i −1.27540 + 0.567846i
\(795\) −5.66448 + 3.15507i −0.200899 + 0.111899i
\(796\) 13.3845 + 5.95918i 0.474402 + 0.211217i
\(797\) −5.97335 8.22161i −0.211587 0.291224i 0.690011 0.723798i \(-0.257605\pi\)
−0.901598 + 0.432574i \(0.857605\pi\)
\(798\) 17.1901 + 0.625290i 0.608523 + 0.0221350i
\(799\) 19.0065 0.672402
\(800\) 33.7577 2.49965i 1.19351 0.0883761i
\(801\) −4.29193 + 7.43384i −0.151648 + 0.262662i
\(802\) −6.05659 + 28.4940i −0.213866 + 1.00616i
\(803\) −1.95182 + 4.38386i −0.0688782 + 0.154703i
\(804\) 4.80703 3.49251i 0.169531 0.123171i
\(805\) −2.04408 7.61043i −0.0720444 0.268232i
\(806\) 71.3196 + 51.8167i 2.51213 + 1.82517i
\(807\) 16.0135 9.24543i 0.563704 0.325454i
\(808\) −4.63095 10.4013i −0.162916 0.365916i
\(809\) −0.0595884 0.0661796i −0.00209502 0.00232675i 0.742096 0.670293i \(-0.233832\pi\)
−0.744191 + 0.667966i \(0.767165\pi\)
\(810\) 4.13373 + 0.0636803i 0.145244 + 0.00223750i
\(811\) 5.63144 + 17.3318i 0.197746 + 0.608601i 0.999934 + 0.0115283i \(0.00366965\pi\)
−0.802187 + 0.597073i \(0.796330\pi\)
\(812\) 3.35517 23.6242i 0.117743 0.829048i
\(813\) 18.4012 + 5.97890i 0.645357 + 0.209689i
\(814\) 37.9602 42.1591i 1.33050 1.47768i
\(815\) 10.8808 + 19.5349i 0.381136 + 0.684277i
\(816\) 14.0455 + 15.5991i 0.491691 + 0.546079i
\(817\) 25.8872 + 2.72085i 0.905677 + 0.0951905i
\(818\) 21.8428i 0.763714i
\(819\) −7.68692 11.4321i −0.268603 0.399470i
\(820\) 15.9756 1.43068i 0.557892 0.0499616i
\(821\) −46.6671 20.7775i −1.62869 0.725140i −0.630016 0.776582i \(-0.716952\pi\)
−0.998676 + 0.0514421i \(0.983618\pi\)
\(822\) −9.60380 + 1.00940i −0.334971 + 0.0352069i
\(823\) −7.41163 + 34.8690i −0.258353 + 1.21546i 0.637269 + 0.770641i \(0.280064\pi\)
−0.895622 + 0.444815i \(0.853269\pi\)
\(824\) −7.08883 12.2782i −0.246951 0.427732i
\(825\) −20.2069 + 10.8507i −0.703514 + 0.377772i
\(826\) 32.9298 27.5499i 1.14577 0.958585i
\(827\) 26.7754 8.69984i 0.931070 0.302523i 0.196070 0.980590i \(-0.437182\pi\)
0.735000 + 0.678067i \(0.237182\pi\)
\(828\) 0.768420 1.72590i 0.0267044 0.0599792i
\(829\) 1.78323 + 16.9663i 0.0619340 + 0.589263i 0.980844 + 0.194795i \(0.0624043\pi\)
−0.918910 + 0.394468i \(0.870929\pi\)
\(830\) 58.5510 32.6124i 2.03234 1.13199i
\(831\) 2.33386 22.2052i 0.0809606 0.770289i
\(832\) 14.9280i 0.517537i
\(833\) −29.5696 + 7.28137i −1.02453 + 0.252285i
\(834\) −0.187223 + 0.576214i −0.00648301 + 0.0199527i
\(835\) 11.5928 33.8933i 0.401184 1.17293i
\(836\) −22.3791 4.75683i −0.773998 0.164518i
\(837\) −6.80515 + 6.12739i −0.235221 + 0.211793i
\(838\) −13.9629 65.6903i −0.482341 2.26923i
\(839\) 8.37370 + 25.7716i 0.289092 + 0.889734i 0.985142 + 0.171741i \(0.0549392\pi\)
−0.696050 + 0.717993i \(0.745061\pi\)
\(840\) 5.66696 2.89173i 0.195529 0.0997740i
\(841\) 3.53258 10.8722i 0.121813 0.374902i
\(842\) −55.1382 5.79526i −1.90019 0.199718i
\(843\) 8.65669 + 4.99794i 0.298152 + 0.172138i
\(844\) −17.3534 + 7.72624i −0.597329 + 0.265948i
\(845\) 29.8566 + 10.2121i 1.02710 + 0.351305i
\(846\) 6.53487 4.74786i 0.224674 0.163235i
\(847\) 7.28640 + 25.5507i 0.250364 + 0.877932i
\(848\) −13.3062 + 4.32343i −0.456935 + 0.148467i
\(849\) −2.71836 4.70834i −0.0932939 0.161590i
\(850\) 11.2437 + 38.6133i 0.385655 + 1.32443i
\(851\) 4.45486 7.71604i 0.152711 0.264503i
\(852\) 6.34220 + 5.71054i 0.217280 + 0.195640i
\(853\) 26.0744 + 35.8883i 0.892771 + 1.22879i 0.972717 + 0.231994i \(0.0745251\pi\)
−0.0799465 + 0.996799i \(0.525475\pi\)
\(854\) 6.55697 + 6.35042i 0.224375 + 0.217307i
\(855\) −3.08718 7.23170i −0.105579 0.247319i
\(856\) 0.971651 9.24464i 0.0332103 0.315975i
\(857\) 11.8966 + 6.86852i 0.406381 + 0.234624i 0.689234 0.724539i \(-0.257947\pi\)
−0.282852 + 0.959163i \(0.591281\pi\)
\(858\) 17.9617 + 40.3426i 0.613201 + 1.37727i
\(859\) 12.7124 2.70211i 0.433743 0.0921949i 0.0141345 0.999900i \(-0.495501\pi\)
0.419608 + 0.907705i \(0.362167\pi\)
\(860\) −21.5913 + 9.21723i −0.736257 + 0.314305i
\(861\) 11.8234 6.26458i 0.402939 0.213496i
\(862\) −43.2195 14.0429i −1.47206 0.478302i
\(863\) −1.71144 8.05168i −0.0582580 0.274082i 0.939371 0.342902i \(-0.111410\pi\)
−0.997629 + 0.0688198i \(0.978077\pi\)
\(864\) 6.62207 + 1.40757i 0.225288 + 0.0478863i
\(865\) −26.6280 12.3505i −0.905379 0.419929i
\(866\) 65.0682 13.8307i 2.21111 0.469985i
\(867\) −1.13217 + 1.55829i −0.0384504 + 0.0529224i
\(868\) 11.7999 32.2741i 0.400515 1.09545i
\(869\) −12.8855 9.36187i −0.437111 0.317580i
\(870\) −25.1233 + 7.73732i −0.851761 + 0.262320i
\(871\) 2.28007 + 21.6934i 0.0772572 + 0.735053i
\(872\) 5.79427 0.609003i 0.196219 0.0206234i
\(873\) 9.32318 + 8.39463i 0.315542 + 0.284115i
\(874\) −8.65999 −0.292929
\(875\) 29.5731 0.655131i 0.999755 0.0221475i
\(876\) 1.48376 0.0501317
\(877\) −11.3124 10.1857i −0.381992 0.343948i 0.455657 0.890155i \(-0.349404\pi\)
−0.837650 + 0.546208i \(0.816071\pi\)
\(878\) −27.1225 + 2.85069i −0.915342 + 0.0962063i
\(879\) 1.19777 + 11.3960i 0.0403996 + 0.384377i
\(880\) −47.2988 + 14.5668i −1.59444 + 0.491045i
\(881\) 4.90603 + 3.56444i 0.165288 + 0.120089i 0.667354 0.744740i \(-0.267427\pi\)
−0.502066 + 0.864829i \(0.667427\pi\)
\(882\) −8.34782 + 9.89006i −0.281086 + 0.333016i
\(883\) 7.60513 10.4676i 0.255933 0.352262i −0.661645 0.749817i \(-0.730141\pi\)
0.917578 + 0.397556i \(0.130141\pi\)
\(884\) 31.4267 6.67995i 1.05699 0.224671i
\(885\) −17.8042 8.25787i −0.598483 0.277585i
\(886\) −10.8007 2.29576i −0.362856 0.0771274i
\(887\) 11.7906 + 55.4705i 0.395890 + 1.86252i 0.497164 + 0.867657i \(0.334375\pi\)
−0.101274 + 0.994859i \(0.532292\pi\)
\(888\) 6.84128 + 2.22287i 0.229578 + 0.0745945i
\(889\) −35.0210 21.9543i −1.17457 0.736325i
\(890\) −32.6380 + 13.9330i −1.09403 + 0.467036i
\(891\) −4.48694 + 0.953729i −0.150318 + 0.0319511i
\(892\) −16.8039 37.7422i −0.562637 1.26370i
\(893\) −13.3048 7.68156i −0.445230 0.257053i
\(894\) −3.36676 + 32.0326i −0.112601 + 1.07133i
\(895\) −1.98374 4.64689i −0.0663090 0.155328i
\(896\) 20.9635 5.97824i 0.700340 0.199719i
\(897\) 4.07660 + 5.61096i 0.136114 + 0.187345i
\(898\) −7.57253 6.81834i −0.252699 0.227531i
\(899\) 29.1136 50.4262i 0.970992 1.68181i
\(900\) 5.60624 + 4.34318i 0.186875 + 0.144773i
\(901\) −6.30742 10.9248i −0.210131 0.363957i
\(902\) −40.7928 + 13.2544i −1.35825 + 0.441323i
\(903\) −13.6249 + 14.0681i −0.453410 + 0.468157i
\(904\) −1.98701 + 1.44365i −0.0660871 + 0.0480151i
\(905\) 33.6870 + 11.5222i 1.11979 + 0.383010i
\(906\) −33.3917 + 14.8670i −1.10937 + 0.493922i
\(907\) −43.7267 25.2457i −1.45192 0.838268i −0.453332 0.891342i \(-0.649765\pi\)
−0.998591 + 0.0530736i \(0.983098\pi\)
\(908\) 3.03149 + 0.318623i 0.100604 + 0.0105739i
\(909\) 3.27168 10.0692i 0.108515 0.333975i
\(910\) 2.94676 56.8773i 0.0976842 1.88546i
\(911\) 15.7178 + 48.3745i 0.520755 + 1.60272i 0.772560 + 0.634941i \(0.218976\pi\)
−0.251805 + 0.967778i \(0.581024\pi\)
\(912\) −3.52763 16.5962i −0.116811 0.549554i
\(913\) −55.2632 + 49.7592i −1.82895 + 1.64679i
\(914\) 49.0434 + 10.4245i 1.62221 + 0.344812i
\(915\) 1.35038 3.94804i 0.0446421 0.130518i
\(916\) −5.44750 + 16.7657i −0.179990 + 0.553953i
\(917\) 6.28432 4.22556i 0.207527 0.139540i
\(918\) 8.04340i 0.265472i
\(919\) −0.929802 + 8.84648i −0.0306714 + 0.291818i 0.968425 + 0.249307i \(0.0802027\pi\)
−0.999096 + 0.0425118i \(0.986464\pi\)
\(920\) −2.79820 + 1.55857i −0.0922539 + 0.0513846i
\(921\) −1.24257 11.8223i −0.0409441 0.389557i
\(922\) −15.8756 + 35.6571i −0.522834 + 1.17430i
\(923\) −29.7966 + 9.68151i −0.980768 + 0.318671i
\(924\) 13.2027 11.0457i 0.434336 0.363378i
\(925\) 24.1534 + 23.1341i 0.794160 + 0.760646i
\(926\) −12.0410 20.8557i −0.395692 0.685359i
\(927\) 2.74104 12.8956i 0.0900276 0.423546i
\(928\) −42.8119 + 4.49972i −1.40537 + 0.147710i
\(929\) −30.2912 13.4865i −0.993822 0.442478i −0.155608 0.987819i \(-0.549734\pi\)
−0.838214 + 0.545341i \(0.816400\pi\)
\(930\) −37.7071 + 3.37683i −1.23647 + 0.110731i
\(931\) 23.6420 + 6.85362i 0.774835 + 0.224618i
\(932\) 31.3282i 1.02619i
\(933\) −8.48530 0.891841i −0.277796 0.0291976i
\(934\) −14.1411 15.7053i −0.462711 0.513893i
\(935\) −21.7138 38.9841i −0.710117 1.27492i
\(936\) −3.74677 + 4.16121i −0.122467 + 0.136013i
\(937\) −14.7998 4.80875i −0.483489 0.157095i 0.0571232 0.998367i \(-0.481807\pi\)
−0.540612 + 0.841272i \(0.681807\pi\)
\(938\) 19.0113 7.64898i 0.620742 0.249748i
\(939\) 2.09555 + 6.44945i 0.0683858 + 0.210470i
\(940\) 13.8544 + 0.213428i 0.451882 + 0.00696126i
\(941\) 20.3728 + 22.6263i 0.664135 + 0.737596i 0.977243 0.212121i \(-0.0680371\pi\)
−0.313109 + 0.949717i \(0.601370\pi\)
\(942\) −13.0449 29.2993i −0.425026 0.954624i
\(943\) −5.83383 + 3.36817i −0.189976 + 0.109683i
\(944\) −34.2611 24.8922i −1.11510 0.810171i
\(945\) 5.71541 + 1.52778i 0.185922 + 0.0496987i
\(946\) 50.7895 36.9008i 1.65131 1.19975i
\(947\) −14.1236 + 31.7220i −0.458954 + 1.03083i 0.524787 + 0.851234i \(0.324145\pi\)
−0.983741 + 0.179594i \(0.942522\pi\)
\(948\) −1.02391 + 4.81711i −0.0332550 + 0.156452i
\(949\) −2.72351 + 4.71725i −0.0884088 + 0.153129i
\(950\) 7.73498 31.5741i 0.250956 1.02440i
\(951\) 25.1098 0.814242
\(952\) 5.79521 + 10.9375i 0.187824 + 0.354486i
\(953\) 34.0001 + 46.7971i 1.10137 + 1.51591i 0.833555 + 0.552437i \(0.186302\pi\)
0.267816 + 0.963470i \(0.413698\pi\)
\(954\) −4.89767 2.18058i −0.158568 0.0705989i
\(955\) −14.0449 + 7.82291i −0.454484 + 0.253143i
\(956\) −2.34546 + 1.04427i −0.0758576 + 0.0337740i
\(957\) 25.2603 14.5840i 0.816548 0.471434i
\(958\) −32.2859 + 44.4378i −1.04311 + 1.43572i
\(959\) −13.6815 1.94307i −0.441798 0.0627451i
\(960\) 4.21574 + 4.82963i 0.136063 + 0.155876i
\(961\) 35.3669 39.2789i 1.14087 1.26706i
\(962\) 47.8546 43.0884i 1.54289 1.38923i
\(963\) 6.42364 5.78387i 0.206999 0.186383i
\(964\) −19.7518 + 21.9366i −0.636162 + 0.706530i
\(965\) 54.7425 + 12.5202i 1.76222 + 0.403039i
\(966\) 4.01890 5.12858i 0.129306 0.165009i
\(967\) 0.857553 1.18032i 0.0275771 0.0379566i −0.795006 0.606602i \(-0.792532\pi\)
0.822583 + 0.568645i \(0.192532\pi\)
\(968\) 9.35255 5.39970i 0.300602 0.173553i
\(969\) 13.9756 6.22232i 0.448960 0.199890i
\(970\) 10.0009 + 50.8928i 0.321108 + 1.63407i
\(971\) −8.09538 3.60430i −0.259793 0.115667i 0.272707 0.962097i \(-0.412081\pi\)
−0.532501 + 0.846430i \(0.678748\pi\)
\(972\) 0.833687 + 1.14747i 0.0267405 + 0.0368052i
\(973\) −0.460506 + 0.734588i −0.0147631 + 0.0235498i
\(974\) 2.60243 0.0833873
\(975\) −24.0986 + 9.85154i −0.771771 + 0.315502i
\(976\) 4.50181 7.79736i 0.144099 0.249588i
\(977\) −8.54811 + 40.2157i −0.273478 + 1.28661i 0.600098 + 0.799926i \(0.295128\pi\)
−0.873576 + 0.486687i \(0.838205\pi\)
\(978\) −7.52008 + 16.8904i −0.240466 + 0.540095i
\(979\) 31.8557 23.1445i 1.01811 0.739701i
\(980\) −21.6360 + 4.97558i −0.691137 + 0.158939i
\(981\) 4.38303 + 3.18446i 0.139939 + 0.101672i
\(982\) 69.4273 40.0839i 2.21551 1.27913i
\(983\) −15.6381 35.1237i −0.498777 1.12027i −0.971062 0.238826i \(-0.923237\pi\)
0.472285 0.881446i \(-0.343429\pi\)
\(984\) −3.63916 4.04170i −0.116012 0.128845i
\(985\) −38.2950 28.7345i −1.22018 0.915557i
\(986\) −15.8046 48.6415i −0.503320 1.54906i
\(987\) 10.7236 4.31451i 0.341336 0.137332i
\(988\) −24.6989 8.02515i −0.785776 0.255314i
\(989\) 6.59742 7.32717i 0.209786 0.232991i
\(990\) −17.2040 7.97947i −0.546779 0.253604i
\(991\) 1.77853 + 1.97525i 0.0564968 + 0.0627460i 0.770731 0.637161i \(-0.219891\pi\)
−0.714234 + 0.699907i \(0.753225\pi\)
\(992\) −61.6550 6.48020i −1.95755 0.205747i
\(993\) 12.6050i 0.400006i
\(994\) 16.4235 + 24.4252i 0.520920 + 0.774721i
\(995\) 5.14977 22.5166i 0.163259 0.713823i
\(996\) 21.0054 + 9.35221i 0.665582 + 0.296336i
\(997\) 42.6818 4.48603i 1.35175 0.142074i 0.599192 0.800605i \(-0.295489\pi\)
0.752553 + 0.658531i \(0.228822\pi\)
\(998\) 4.98467 23.4510i 0.157787 0.742330i
\(999\) 3.34451 + 5.79287i 0.105816 + 0.183278i
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 525.2.bo.a.319.33 yes 320
7.2 even 3 inner 525.2.bo.a.394.33 yes 320
25.4 even 10 inner 525.2.bo.a.4.33 320
175.79 even 30 inner 525.2.bo.a.79.33 yes 320
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
525.2.bo.a.4.33 320 25.4 even 10 inner
525.2.bo.a.79.33 yes 320 175.79 even 30 inner
525.2.bo.a.319.33 yes 320 1.1 even 1 trivial
525.2.bo.a.394.33 yes 320 7.2 even 3 inner