Properties

Label 300.2.n.a.191.14
Level $300$
Weight $2$
Character 300.191
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [300,2,Mod(11,300)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(300, base_ring=CyclotomicField(10))
 
chi = DirichletCharacter(H, H._module([5, 5, 8]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("300.11");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.n (of order \(10\), degree \(4\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 191.14
Character \(\chi\) \(=\) 300.191
Dual form 300.2.n.a.11.14

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.01770 - 0.981981i) q^{2} +(-1.62298 + 0.604914i) q^{3} +(0.0714277 + 1.99872i) q^{4} +(-0.345709 - 2.20918i) q^{5} +(2.24573 + 0.978119i) q^{6} -0.309856i q^{7} +(1.89002 - 2.10424i) q^{8} +(2.26816 - 1.96353i) q^{9} +O(q^{10})\) \(q+(-1.01770 - 0.981981i) q^{2} +(-1.62298 + 0.604914i) q^{3} +(0.0714277 + 1.99872i) q^{4} +(-0.345709 - 2.20918i) q^{5} +(2.24573 + 0.978119i) q^{6} -0.309856i q^{7} +(1.89002 - 2.10424i) q^{8} +(2.26816 - 1.96353i) q^{9} +(-1.81755 + 2.58776i) q^{10} +(1.53656 + 1.11637i) q^{11} +(-1.32498 - 3.20069i) q^{12} +(-3.79520 + 2.75737i) q^{13} +(-0.304272 + 0.315340i) q^{14} +(1.89744 + 3.37634i) q^{15} +(-3.98980 + 0.285528i) q^{16} +(-4.30413 - 1.39850i) q^{17} +(-4.23646 - 0.229003i) q^{18} +(-5.24788 - 1.70514i) q^{19} +(4.39085 - 0.848774i) q^{20} +(0.187436 + 0.502891i) q^{21} +(-0.467497 - 2.64500i) q^{22} +(-5.20321 - 3.78035i) q^{23} +(-1.79458 + 4.55845i) q^{24} +(-4.76097 + 1.52747i) q^{25} +(6.57006 + 0.920633i) q^{26} +(-2.49342 + 4.55882i) q^{27} +(0.619316 - 0.0221323i) q^{28} +(-6.49757 + 2.11119i) q^{29} +(1.38448 - 5.29936i) q^{30} +(5.73466 + 1.86330i) q^{31} +(4.34080 + 3.62732i) q^{32} +(-3.16912 - 0.882374i) q^{33} +(3.00702 + 5.64982i) q^{34} +(-0.684528 + 0.107120i) q^{35} +(4.08657 + 4.39317i) q^{36} +(3.24583 - 2.35823i) q^{37} +(3.66636 + 6.88864i) q^{38} +(4.49158 - 6.77094i) q^{39} +(-5.30205 - 3.44793i) q^{40} +(-0.902077 - 1.24160i) q^{41} +(0.303076 - 0.695851i) q^{42} +3.75970i q^{43} +(-2.12157 + 3.15090i) q^{44} +(-5.12192 - 4.33197i) q^{45} +(1.58307 + 8.95671i) q^{46} +(-2.19448 - 6.75392i) q^{47} +(6.30266 - 2.87689i) q^{48} +6.90399 q^{49} +(6.34519 + 3.12068i) q^{50} +(7.83151 - 0.333888i) q^{51} +(-5.78231 - 7.38860i) q^{52} +(0.721525 - 0.234438i) q^{53} +(7.01423 - 2.19102i) q^{54} +(1.93507 - 3.78048i) q^{55} +(-0.652012 - 0.585633i) q^{56} +(9.54870 - 0.407098i) q^{57} +(8.68572 + 4.23193i) q^{58} +(-11.0576 + 8.03382i) q^{59} +(-6.61285 + 4.03363i) q^{60} +(-7.66779 - 5.57097i) q^{61} +(-4.00643 - 7.52761i) q^{62} +(-0.608411 - 0.702802i) q^{63} +(-0.855674 - 7.95411i) q^{64} +(7.40358 + 7.43104i) q^{65} +(2.35874 + 4.01001i) q^{66} +(6.37132 + 2.07017i) q^{67} +(2.48778 - 8.70266i) q^{68} +(10.7315 + 2.98796i) q^{69} +(0.801834 + 0.563177i) q^{70} +(-0.750346 - 2.30933i) q^{71} +(0.155113 - 8.48386i) q^{72} +(-7.60274 - 5.52372i) q^{73} +(-5.61902 - 0.787367i) q^{74} +(6.80300 - 5.35903i) q^{75} +(3.03326 - 10.6109i) q^{76} +(0.345915 - 0.476111i) q^{77} +(-11.2200 + 2.48015i) q^{78} +(-1.81171 + 0.588659i) q^{79} +(2.01009 + 8.71548i) q^{80} +(1.28909 - 8.90720i) q^{81} +(-0.301186 + 2.14940i) q^{82} +(0.792743 - 2.43981i) q^{83} +(-0.991753 + 0.410553i) q^{84} +(-1.60156 + 9.99208i) q^{85} +(3.69195 - 3.82625i) q^{86} +(9.26837 - 7.35689i) q^{87} +(5.25324 - 1.12332i) q^{88} +(5.28769 - 7.27788i) q^{89} +(0.958673 + 9.43827i) q^{90} +(0.854388 + 1.17596i) q^{91} +(7.18422 - 10.6698i) q^{92} +(-10.4344 + 0.444859i) q^{93} +(-4.39890 + 9.02841i) q^{94} +(-1.95272 + 12.1830i) q^{95} +(-9.23927 - 3.26128i) q^{96} +(3.88035 + 11.9425i) q^{97} +(-7.02619 - 6.77958i) q^{98} +(5.67719 - 0.484963i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 6 q^{4} + q^{6} - 6 q^{9} - 8 q^{10} - 9 q^{12} - 12 q^{13} - 18 q^{16} - 26 q^{18} + 12 q^{21} - 6 q^{22} - 16 q^{24} - 12 q^{25} + 2 q^{28} - 13 q^{30} + 6 q^{33} - 30 q^{34} + 35 q^{36} + 12 q^{37} - 24 q^{40} - 13 q^{42} - 6 q^{45} - 18 q^{46} - 34 q^{48} - 168 q^{49} - 28 q^{52} - 38 q^{54} - 44 q^{57} - 34 q^{58} - 76 q^{60} + 4 q^{61} + 18 q^{64} - 46 q^{66} - 18 q^{69} + 72 q^{70} - 29 q^{72} - 20 q^{73} + 16 q^{76} + 5 q^{78} - 30 q^{81} - 20 q^{82} - 18 q^{84} - 76 q^{85} + 6 q^{88} + 2 q^{90} - 52 q^{93} + 96 q^{94} - 50 q^{96} - 72 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{1}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.01770 0.981981i −0.719623 0.694365i
\(3\) −1.62298 + 0.604914i −0.937031 + 0.349247i
\(4\) 0.0714277 + 1.99872i 0.0357138 + 0.999362i
\(5\) −0.345709 2.20918i −0.154606 0.987976i
\(6\) 2.24573 + 0.978119i 0.916814 + 0.399315i
\(7\) 0.309856i 0.117114i −0.998284 0.0585572i \(-0.981350\pi\)
0.998284 0.0585572i \(-0.0186500\pi\)
\(8\) 1.89002 2.10424i 0.668222 0.743962i
\(9\) 2.26816 1.96353i 0.756053 0.654510i
\(10\) −1.81755 + 2.58776i −0.574758 + 0.818323i
\(11\) 1.53656 + 1.11637i 0.463290 + 0.336600i 0.794820 0.606845i \(-0.207565\pi\)
−0.331531 + 0.943444i \(0.607565\pi\)
\(12\) −1.32498 3.20069i −0.382489 0.923960i
\(13\) −3.79520 + 2.75737i −1.05260 + 0.764758i −0.972705 0.232045i \(-0.925458\pi\)
−0.0798941 + 0.996803i \(0.525458\pi\)
\(14\) −0.304272 + 0.315340i −0.0813202 + 0.0842783i
\(15\) 1.89744 + 3.37634i 0.489918 + 0.871768i
\(16\) −3.98980 + 0.285528i −0.997449 + 0.0713821i
\(17\) −4.30413 1.39850i −1.04391 0.339185i −0.263631 0.964623i \(-0.584920\pi\)
−0.780274 + 0.625438i \(0.784920\pi\)
\(18\) −4.23646 0.229003i −0.998542 0.0539765i
\(19\) −5.24788 1.70514i −1.20395 0.391186i −0.362735 0.931892i \(-0.618157\pi\)
−0.841212 + 0.540706i \(0.818157\pi\)
\(20\) 4.39085 0.848774i 0.981824 0.189792i
\(21\) 0.187436 + 0.502891i 0.0409019 + 0.109740i
\(22\) −0.467497 2.64500i −0.0996707 0.563917i
\(23\) −5.20321 3.78035i −1.08494 0.788257i −0.106405 0.994323i \(-0.533934\pi\)
−0.978538 + 0.206065i \(0.933934\pi\)
\(24\) −1.79458 + 4.55845i −0.366318 + 0.930490i
\(25\) −4.76097 + 1.52747i −0.952194 + 0.305494i
\(26\) 6.57006 + 0.920633i 1.28850 + 0.180551i
\(27\) −2.49342 + 4.55882i −0.479859 + 0.877345i
\(28\) 0.619316 0.0221323i 0.117040 0.00418261i
\(29\) −6.49757 + 2.11119i −1.20657 + 0.392038i −0.842173 0.539207i \(-0.818724\pi\)
−0.364395 + 0.931245i \(0.618724\pi\)
\(30\) 1.38448 5.29936i 0.252769 0.967527i
\(31\) 5.73466 + 1.86330i 1.02997 + 0.334659i 0.774780 0.632231i \(-0.217860\pi\)
0.255195 + 0.966890i \(0.417860\pi\)
\(32\) 4.34080 + 3.62732i 0.767352 + 0.641226i
\(33\) −3.16912 0.882374i −0.551673 0.153602i
\(34\) 3.00702 + 5.64982i 0.515699 + 0.968937i
\(35\) −0.684528 + 0.107120i −0.115706 + 0.0181066i
\(36\) 4.08657 + 4.39317i 0.681094 + 0.732196i
\(37\) 3.24583 2.35823i 0.533611 0.387691i −0.288096 0.957602i \(-0.593022\pi\)
0.821707 + 0.569911i \(0.193022\pi\)
\(38\) 3.66636 + 6.88864i 0.594762 + 1.11749i
\(39\) 4.49158 6.77094i 0.719228 1.08422i
\(40\) −5.30205 3.44793i −0.838328 0.545166i
\(41\) −0.902077 1.24160i −0.140881 0.193906i 0.732746 0.680502i \(-0.238238\pi\)
−0.873627 + 0.486596i \(0.838238\pi\)
\(42\) 0.303076 0.695851i 0.0467656 0.107372i
\(43\) 3.75970i 0.573349i 0.958028 + 0.286674i \(0.0925498\pi\)
−0.958028 + 0.286674i \(0.907450\pi\)
\(44\) −2.12157 + 3.15090i −0.319839 + 0.475015i
\(45\) −5.12192 4.33197i −0.763531 0.645771i
\(46\) 1.58307 + 8.95671i 0.233411 + 1.32059i
\(47\) −2.19448 6.75392i −0.320098 0.985161i −0.973605 0.228240i \(-0.926703\pi\)
0.653507 0.756921i \(-0.273297\pi\)
\(48\) 6.30266 2.87689i 0.909710 0.415243i
\(49\) 6.90399 0.986284
\(50\) 6.34519 + 3.12068i 0.897345 + 0.441330i
\(51\) 7.83151 0.333888i 1.09663 0.0467536i
\(52\) −5.78231 7.38860i −0.801862 1.02462i
\(53\) 0.721525 0.234438i 0.0991091 0.0322025i −0.259043 0.965866i \(-0.583407\pi\)
0.358152 + 0.933663i \(0.383407\pi\)
\(54\) 7.01423 2.19102i 0.954516 0.298160i
\(55\) 1.93507 3.78048i 0.260925 0.509759i
\(56\) −0.652012 0.585633i −0.0871287 0.0782585i
\(57\) 9.54870 0.407098i 1.26476 0.0539215i
\(58\) 8.68572 + 4.23193i 1.14049 + 0.555680i
\(59\) −11.0576 + 8.03382i −1.43958 + 1.04591i −0.451447 + 0.892298i \(0.649092\pi\)
−0.988131 + 0.153617i \(0.950908\pi\)
\(60\) −6.61285 + 4.03363i −0.853715 + 0.520740i
\(61\) −7.66779 5.57097i −0.981760 0.713290i −0.0236585 0.999720i \(-0.507531\pi\)
−0.958101 + 0.286430i \(0.907531\pi\)
\(62\) −4.00643 7.52761i −0.508818 0.956007i
\(63\) −0.608411 0.702802i −0.0766526 0.0885448i
\(64\) −0.855674 7.95411i −0.106959 0.994263i
\(65\) 7.40358 + 7.43104i 0.918301 + 0.921707i
\(66\) 2.35874 + 4.01001i 0.290341 + 0.493598i
\(67\) 6.37132 + 2.07017i 0.778380 + 0.252911i 0.671149 0.741323i \(-0.265801\pi\)
0.107232 + 0.994234i \(0.465801\pi\)
\(68\) 2.48778 8.70266i 0.301687 1.05535i
\(69\) 10.7315 + 2.98796i 1.29192 + 0.359708i
\(70\) 0.801834 + 0.563177i 0.0958375 + 0.0673125i
\(71\) −0.750346 2.30933i −0.0890497 0.274067i 0.896608 0.442826i \(-0.146024\pi\)
−0.985657 + 0.168759i \(0.946024\pi\)
\(72\) 0.155113 8.48386i 0.0182803 0.999833i
\(73\) −7.60274 5.52372i −0.889834 0.646502i 0.0460010 0.998941i \(-0.485352\pi\)
−0.935835 + 0.352439i \(0.885352\pi\)
\(74\) −5.61902 0.787367i −0.653198 0.0915296i
\(75\) 6.80300 5.35903i 0.785542 0.618808i
\(76\) 3.03326 10.6109i 0.347939 1.21715i
\(77\) 0.345915 0.476111i 0.0394207 0.0542579i
\(78\) −11.2200 + 2.48015i −1.27042 + 0.280821i
\(79\) −1.81171 + 0.588659i −0.203833 + 0.0662293i −0.409154 0.912465i \(-0.634176\pi\)
0.205321 + 0.978695i \(0.434176\pi\)
\(80\) 2.01009 + 8.71548i 0.224735 + 0.974420i
\(81\) 1.28909 8.90720i 0.143233 0.989689i
\(82\) −0.301186 + 2.14940i −0.0332604 + 0.237362i
\(83\) 0.792743 2.43981i 0.0870149 0.267804i −0.898076 0.439841i \(-0.855035\pi\)
0.985091 + 0.172037i \(0.0550348\pi\)
\(84\) −0.991753 + 0.410553i −0.108209 + 0.0447950i
\(85\) −1.60156 + 9.99208i −0.173713 + 1.08379i
\(86\) 3.69195 3.82625i 0.398114 0.412595i
\(87\) 9.26837 7.35689i 0.993673 0.788741i
\(88\) 5.25324 1.12332i 0.559998 0.119747i
\(89\) 5.28769 7.27788i 0.560494 0.771454i −0.430895 0.902402i \(-0.641802\pi\)
0.991389 + 0.130948i \(0.0418021\pi\)
\(90\) 0.958673 + 9.43827i 0.101053 + 0.994881i
\(91\) 0.854388 + 1.17596i 0.0895642 + 0.123275i
\(92\) 7.18422 10.6698i 0.749007 1.11240i
\(93\) −10.4344 + 0.444859i −1.08200 + 0.0461297i
\(94\) −4.39890 + 9.02841i −0.453711 + 0.931209i
\(95\) −1.95272 + 12.1830i −0.200345 + 1.24995i
\(96\) −9.23927 3.26128i −0.942979 0.332853i
\(97\) 3.88035 + 11.9425i 0.393990 + 1.21258i 0.929745 + 0.368204i \(0.120027\pi\)
−0.535755 + 0.844374i \(0.679973\pi\)
\(98\) −7.02619 6.77958i −0.709753 0.684841i
\(99\) 5.67719 0.484963i 0.570579 0.0487406i
\(100\) −3.39305 9.40676i −0.339305 0.940676i
\(101\) 8.75109i 0.870766i −0.900245 0.435383i \(-0.856613\pi\)
0.900245 0.435383i \(-0.143387\pi\)
\(102\) −8.29800 7.35059i −0.821625 0.727817i
\(103\) −4.44126 + 1.44305i −0.437610 + 0.142188i −0.519533 0.854451i \(-0.673894\pi\)
0.0819226 + 0.996639i \(0.473894\pi\)
\(104\) −1.37081 + 13.1975i −0.134419 + 1.29412i
\(105\) 1.04618 0.587934i 0.102097 0.0573765i
\(106\) −0.964509 0.469936i −0.0936814 0.0456442i
\(107\) 0.307528 0.0297299 0.0148649 0.999890i \(-0.495268\pi\)
0.0148649 + 0.999890i \(0.495268\pi\)
\(108\) −9.28992 4.65804i −0.893923 0.448220i
\(109\) 7.14020 5.18766i 0.683908 0.496888i −0.190744 0.981640i \(-0.561090\pi\)
0.874652 + 0.484752i \(0.161090\pi\)
\(110\) −5.68168 + 1.94719i −0.541727 + 0.185657i
\(111\) −3.84140 + 5.79082i −0.364610 + 0.549640i
\(112\) 0.0884726 + 1.23626i 0.00835988 + 0.116816i
\(113\) 5.33456 + 7.34239i 0.501833 + 0.690714i 0.982516 0.186181i \(-0.0596109\pi\)
−0.480682 + 0.876895i \(0.659611\pi\)
\(114\) −10.1175 8.96233i −0.947588 0.839399i
\(115\) −6.55269 + 12.8017i −0.611041 + 1.19377i
\(116\) −4.68379 12.8360i −0.434879 1.19180i
\(117\) −3.19393 + 13.7062i −0.295279 + 1.26713i
\(118\) 19.1424 + 2.68233i 1.76220 + 0.246929i
\(119\) −0.433332 + 1.33366i −0.0397235 + 0.122256i
\(120\) 10.6909 + 2.38866i 0.975937 + 0.218054i
\(121\) −2.28447 7.03087i −0.207679 0.639170i
\(122\) 2.33292 + 13.1992i 0.211213 + 1.19500i
\(123\) 2.21512 + 1.46942i 0.199731 + 0.132493i
\(124\) −3.31462 + 11.5951i −0.297661 + 1.04127i
\(125\) 5.02037 + 9.98979i 0.449035 + 0.893514i
\(126\) −0.0709579 + 1.31269i −0.00632143 + 0.116944i
\(127\) 8.06366 11.0987i 0.715534 0.984848i −0.284127 0.958787i \(-0.591704\pi\)
0.999660 0.0260609i \(-0.00829639\pi\)
\(128\) −6.93996 + 8.93515i −0.613412 + 0.789763i
\(129\) −2.27429 6.10194i −0.200240 0.537246i
\(130\) −0.237486 14.8327i −0.0208289 1.30092i
\(131\) −0.458670 + 1.41164i −0.0400742 + 0.123336i −0.969092 0.246699i \(-0.920654\pi\)
0.929018 + 0.370035i \(0.120654\pi\)
\(132\) 1.53726 6.39722i 0.133801 0.556807i
\(133\) −0.528348 + 1.62609i −0.0458136 + 0.141000i
\(134\) −4.45123 8.36332i −0.384528 0.722481i
\(135\) 10.9333 + 3.93240i 0.940986 + 0.338447i
\(136\) −11.0777 + 6.41375i −0.949901 + 0.549975i
\(137\) 10.6892 + 14.7124i 0.913236 + 1.25696i 0.966050 + 0.258357i \(0.0831811\pi\)
−0.0528136 + 0.998604i \(0.516819\pi\)
\(138\) −7.98734 13.5790i −0.679927 1.15592i
\(139\) −6.52821 + 8.98531i −0.553715 + 0.762124i −0.990510 0.137437i \(-0.956113\pi\)
0.436795 + 0.899561i \(0.356113\pi\)
\(140\) −0.262998 1.36053i −0.0222274 0.114986i
\(141\) 7.64715 + 9.63404i 0.644006 + 0.811332i
\(142\) −1.50409 + 3.08703i −0.126220 + 0.259058i
\(143\) −8.90981 −0.745075
\(144\) −8.48885 + 8.48171i −0.707404 + 0.706809i
\(145\) 6.91027 + 13.6245i 0.573866 + 1.13145i
\(146\) 2.31313 + 13.0872i 0.191436 + 1.08311i
\(147\) −11.2051 + 4.17632i −0.924179 + 0.344457i
\(148\) 4.94530 + 6.31907i 0.406501 + 0.519425i
\(149\) 10.3539i 0.848222i 0.905610 + 0.424111i \(0.139413\pi\)
−0.905610 + 0.424111i \(0.860587\pi\)
\(150\) −12.1859 1.22652i −0.994973 0.100145i
\(151\) 19.3082i 1.57128i −0.618685 0.785639i \(-0.712334\pi\)
0.618685 0.785639i \(-0.287666\pi\)
\(152\) −13.5066 + 7.82007i −1.09553 + 0.634292i
\(153\) −12.5084 + 5.27928i −1.01125 + 0.426805i
\(154\) −0.819570 + 0.144857i −0.0660428 + 0.0116729i
\(155\) 2.13385 13.3131i 0.171395 1.06933i
\(156\) 13.8541 + 8.49379i 1.10921 + 0.680048i
\(157\) 5.03933 0.402182 0.201091 0.979573i \(-0.435551\pi\)
0.201091 + 0.979573i \(0.435551\pi\)
\(158\) 2.42182 + 1.17998i 0.192670 + 0.0938743i
\(159\) −1.02921 + 0.816949i −0.0816216 + 0.0647883i
\(160\) 6.51276 10.8436i 0.514879 0.857263i
\(161\) −1.17136 + 1.61224i −0.0923164 + 0.127063i
\(162\) −10.0586 + 7.79900i −0.790279 + 0.612747i
\(163\) −6.18477 8.51261i −0.484429 0.666759i 0.494920 0.868939i \(-0.335197\pi\)
−0.979348 + 0.202180i \(0.935197\pi\)
\(164\) 2.41719 1.89169i 0.188751 0.147716i
\(165\) −0.853732 + 7.30621i −0.0664629 + 0.568788i
\(166\) −3.20262 + 1.70454i −0.248572 + 0.132298i
\(167\) −1.55001 + 4.77044i −0.119943 + 0.369148i −0.992946 0.118568i \(-0.962170\pi\)
0.873003 + 0.487716i \(0.162170\pi\)
\(168\) 1.41246 + 0.556062i 0.108974 + 0.0429011i
\(169\) 2.78321 8.56584i 0.214093 0.658911i
\(170\) 11.4419 8.59625i 0.877557 0.659302i
\(171\) −15.2511 + 6.43685i −1.16628 + 0.492238i
\(172\) −7.51460 + 0.268547i −0.572983 + 0.0204765i
\(173\) 7.28298 10.0242i 0.553715 0.762123i −0.436796 0.899561i \(-0.643887\pi\)
0.990510 + 0.137438i \(0.0438868\pi\)
\(174\) −16.6567 1.61425i −1.26274 0.122376i
\(175\) 0.473295 + 1.47521i 0.0357778 + 0.111516i
\(176\) −6.44931 4.01538i −0.486135 0.302670i
\(177\) 13.0866 19.7277i 0.983646 1.48282i
\(178\) −12.5280 + 2.21429i −0.939015 + 0.165968i
\(179\) −6.67793 20.5526i −0.499132 1.53617i −0.810417 0.585854i \(-0.800759\pi\)
0.311285 0.950317i \(-0.399241\pi\)
\(180\) 8.29256 10.5467i 0.618091 0.786107i
\(181\) 6.78493 20.8819i 0.504320 1.55214i −0.297592 0.954693i \(-0.596183\pi\)
0.801911 0.597443i \(-0.203817\pi\)
\(182\) 0.285263 2.03577i 0.0211451 0.150902i
\(183\) 15.8147 + 4.40326i 1.16905 + 0.325498i
\(184\) −17.7889 + 3.80388i −1.31142 + 0.280426i
\(185\) −6.33188 6.35536i −0.465529 0.467256i
\(186\) 11.0559 + 9.79365i 0.810660 + 0.718105i
\(187\) −5.05230 6.95389i −0.369461 0.508519i
\(188\) 13.3425 4.86858i 0.973100 0.355078i
\(189\) 1.41258 + 0.772601i 0.102750 + 0.0561985i
\(190\) 13.9508 10.4811i 1.01210 0.760380i
\(191\) 4.26831 3.10111i 0.308844 0.224389i −0.422556 0.906337i \(-0.638867\pi\)
0.731400 + 0.681948i \(0.238867\pi\)
\(192\) 6.20029 + 12.3918i 0.447468 + 0.894300i
\(193\) 2.61953 0.188558 0.0942788 0.995546i \(-0.469945\pi\)
0.0942788 + 0.995546i \(0.469945\pi\)
\(194\) 7.77827 15.9643i 0.558447 1.14617i
\(195\) −16.5110 7.58194i −1.18238 0.542954i
\(196\) 0.493136 + 13.7992i 0.0352240 + 0.985655i
\(197\) −21.8387 + 7.09582i −1.55594 + 0.505556i −0.955720 0.294277i \(-0.904921\pi\)
−0.600222 + 0.799834i \(0.704921\pi\)
\(198\) −6.25391 5.08135i −0.444446 0.361116i
\(199\) 6.62396i 0.469560i 0.972049 + 0.234780i \(0.0754370\pi\)
−0.972049 + 0.234780i \(0.924563\pi\)
\(200\) −5.78415 + 12.9052i −0.409001 + 0.912534i
\(201\) −11.5928 + 0.494247i −0.817695 + 0.0348615i
\(202\) −8.59340 + 8.90599i −0.604630 + 0.626623i
\(203\) 0.654164 + 2.01331i 0.0459133 + 0.141307i
\(204\) 1.22674 + 15.6292i 0.0858887 + 1.09426i
\(205\) −2.43107 + 2.42209i −0.169793 + 0.169166i
\(206\) 5.93692 + 2.89264i 0.413645 + 0.201539i
\(207\) −19.2245 + 1.64222i −1.33620 + 0.114142i
\(208\) 14.3548 12.0850i 0.995324 0.837944i
\(209\) −6.16010 8.47865i −0.426103 0.586480i
\(210\) −1.64204 0.428988i −0.113311 0.0296030i
\(211\) −9.71127 + 13.3664i −0.668551 + 0.920182i −0.999726 0.0233873i \(-0.992555\pi\)
0.331175 + 0.943569i \(0.392555\pi\)
\(212\) 0.520113 + 1.42538i 0.0357215 + 0.0978958i
\(213\) 2.61474 + 3.29411i 0.179159 + 0.225709i
\(214\) −0.312971 0.301987i −0.0213943 0.0206434i
\(215\) 8.30586 1.29976i 0.566455 0.0886431i
\(216\) 4.88026 + 13.8630i 0.332059 + 0.943258i
\(217\) 0.577355 1.77692i 0.0391934 0.120625i
\(218\) −12.3608 1.73206i −0.837177 0.117310i
\(219\) 15.6805 + 4.36590i 1.05959 + 0.295020i
\(220\) 7.69435 + 3.59765i 0.518753 + 0.242553i
\(221\) 20.1912 6.56052i 1.35821 0.441309i
\(222\) 9.59587 2.12114i 0.644033 0.142361i
\(223\) 12.0612 16.6009i 0.807679 1.11168i −0.183998 0.982927i \(-0.558904\pi\)
0.991677 0.128749i \(-0.0410960\pi\)
\(224\) 1.12395 1.34502i 0.0750968 0.0898681i
\(225\) −7.79941 + 12.8129i −0.519960 + 0.854190i
\(226\) 1.78110 12.7108i 0.118477 0.845509i
\(227\) 9.87438 + 7.17416i 0.655386 + 0.476166i 0.865102 0.501597i \(-0.167254\pi\)
−0.209716 + 0.977762i \(0.567254\pi\)
\(228\) 1.49572 + 19.0561i 0.0990563 + 1.26202i
\(229\) 0.971101 + 2.98874i 0.0641721 + 0.197502i 0.978002 0.208596i \(-0.0668893\pi\)
−0.913830 + 0.406097i \(0.866889\pi\)
\(230\) 19.2397 6.59371i 1.26863 0.434777i
\(231\) −0.273409 + 0.981970i −0.0179890 + 0.0646089i
\(232\) −7.83806 + 17.6626i −0.514594 + 1.15961i
\(233\) 8.86597 + 2.88073i 0.580829 + 0.188723i 0.584672 0.811270i \(-0.301223\pi\)
−0.00384306 + 0.999993i \(0.501223\pi\)
\(234\) 16.7096 10.8124i 1.09234 0.706828i
\(235\) −14.1620 + 7.18290i −0.923826 + 0.468561i
\(236\) −16.8472 21.5273i −1.09666 1.40131i
\(237\) 2.58428 2.05131i 0.167867 0.133247i
\(238\) 1.75063 0.931742i 0.113477 0.0603959i
\(239\) 18.5823 + 13.5009i 1.20199 + 0.873298i 0.994479 0.104935i \(-0.0334634\pi\)
0.207512 + 0.978232i \(0.433463\pi\)
\(240\) −8.53446 12.9292i −0.550897 0.834573i
\(241\) −6.49962 + 4.72225i −0.418677 + 0.304187i −0.777105 0.629371i \(-0.783313\pi\)
0.358428 + 0.933557i \(0.383313\pi\)
\(242\) −4.57928 + 9.39863i −0.294367 + 0.604167i
\(243\) 3.29591 + 15.2360i 0.211433 + 0.977393i
\(244\) 10.5871 15.7237i 0.677773 1.00661i
\(245\) −2.38677 15.2522i −0.152485 0.974425i
\(246\) −0.811382 3.67064i −0.0517318 0.234031i
\(247\) 24.6185 7.99903i 1.56644 0.508966i
\(248\) 14.7594 8.54544i 0.937225 0.542636i
\(249\) 0.189265 + 4.43932i 0.0119942 + 0.281330i
\(250\) 4.70055 15.0965i 0.297289 0.954788i
\(251\) −26.8547 −1.69505 −0.847527 0.530752i \(-0.821909\pi\)
−0.847527 + 0.530752i \(0.821909\pi\)
\(252\) 1.36125 1.26625i 0.0857507 0.0797660i
\(253\) −3.77474 11.6175i −0.237316 0.730383i
\(254\) −19.1051 + 3.37676i −1.19876 + 0.211877i
\(255\) −3.44504 17.1858i −0.215737 1.07622i
\(256\) 15.8369 2.27840i 0.989809 0.142400i
\(257\) 3.87994i 0.242024i 0.992651 + 0.121012i \(0.0386140\pi\)
−0.992651 + 0.121012i \(0.961386\pi\)
\(258\) −3.67744 + 8.44326i −0.228947 + 0.525654i
\(259\) −0.730712 1.00574i −0.0454042 0.0624936i
\(260\) −14.3238 + 15.3285i −0.888323 + 0.950633i
\(261\) −10.5921 + 17.5467i −0.655637 + 1.08611i
\(262\) 1.85299 0.986223i 0.114478 0.0609290i
\(263\) 11.2726 8.19005i 0.695101 0.505020i −0.183232 0.983070i \(-0.558656\pi\)
0.878333 + 0.478049i \(0.158656\pi\)
\(264\) −7.84642 + 5.00090i −0.482914 + 0.307784i
\(265\) −0.767353 1.51293i −0.0471381 0.0929387i
\(266\) 2.13449 1.13604i 0.130874 0.0696552i
\(267\) −4.17935 + 15.0105i −0.255772 + 0.918627i
\(268\) −3.68260 + 12.8824i −0.224951 + 0.786916i
\(269\) −13.6533 4.43622i −0.832456 0.270481i −0.138376 0.990380i \(-0.544188\pi\)
−0.694079 + 0.719899i \(0.744188\pi\)
\(270\) −7.26525 14.7383i −0.442149 0.896942i
\(271\) −1.44312 + 0.468897i −0.0876630 + 0.0284834i −0.352520 0.935804i \(-0.614675\pi\)
0.264857 + 0.964288i \(0.414675\pi\)
\(272\) 17.5719 + 4.35077i 1.06545 + 0.263804i
\(273\) −2.09802 1.39174i −0.126978 0.0842321i
\(274\) 3.56890 25.4693i 0.215605 1.53866i
\(275\) −9.02073 2.96798i −0.543971 0.178976i
\(276\) −5.20558 + 21.6627i −0.313339 + 1.30394i
\(277\) 10.4349 + 7.58142i 0.626974 + 0.455523i 0.855350 0.518050i \(-0.173342\pi\)
−0.228377 + 0.973573i \(0.573342\pi\)
\(278\) 15.4672 2.73378i 0.927659 0.163961i
\(279\) 16.6658 7.03391i 0.997754 0.421109i
\(280\) −1.06836 + 1.64287i −0.0638469 + 0.0981803i
\(281\) −24.2794 7.88884i −1.44838 0.470609i −0.523884 0.851789i \(-0.675518\pi\)
−0.924501 + 0.381181i \(0.875518\pi\)
\(282\) 1.67794 17.3139i 0.0999196 1.03103i
\(283\) 2.52345 + 0.819917i 0.150003 + 0.0487390i 0.383056 0.923725i \(-0.374872\pi\)
−0.233053 + 0.972464i \(0.574872\pi\)
\(284\) 4.56211 1.66468i 0.270712 0.0987808i
\(285\) −4.20043 20.9541i −0.248812 1.24121i
\(286\) 9.06751 + 8.74926i 0.536173 + 0.517354i
\(287\) −0.384718 + 0.279514i −0.0227092 + 0.0164992i
\(288\) 16.9680 0.295954i 0.999848 0.0174392i
\(289\) 2.81646 + 2.04628i 0.165674 + 0.120369i
\(290\) 6.34637 20.6514i 0.372672 1.21269i
\(291\) −13.5219 17.0352i −0.792670 0.998622i
\(292\) 10.4973 15.5903i 0.614310 0.912355i
\(293\) 25.7575i 1.50477i −0.658726 0.752383i \(-0.728904\pi\)
0.658726 0.752383i \(-0.271096\pi\)
\(294\) 15.5045 + 6.75292i 0.904239 + 0.393839i
\(295\) 21.5709 + 21.6509i 1.25591 + 1.26056i
\(296\) 1.17238 11.2871i 0.0681430 0.656050i
\(297\) −8.92064 + 4.22130i −0.517628 + 0.244945i
\(298\) 10.1673 10.5371i 0.588976 0.610400i
\(299\) 30.1710 1.74484
\(300\) 11.1972 + 13.2145i 0.646468 + 0.762941i
\(301\) 1.16497 0.0671475
\(302\) −18.9603 + 19.6500i −1.09104 + 1.13073i
\(303\) 5.29365 + 14.2029i 0.304112 + 0.815935i
\(304\) 21.4248 + 5.30474i 1.22880 + 0.304248i
\(305\) −9.65647 + 18.8655i −0.552928 + 1.08023i
\(306\) 17.9140 + 6.91033i 1.02408 + 0.395037i
\(307\) 12.4595i 0.711099i −0.934657 0.355550i \(-0.884294\pi\)
0.934657 0.355550i \(-0.115706\pi\)
\(308\) 0.976323 + 0.657381i 0.0556312 + 0.0374578i
\(309\) 6.33517 5.02863i 0.360395 0.286069i
\(310\) −15.2448 + 11.4533i −0.865846 + 0.650504i
\(311\) 6.46908 + 4.70006i 0.366828 + 0.266516i 0.755894 0.654694i \(-0.227202\pi\)
−0.389067 + 0.921210i \(0.627202\pi\)
\(312\) −5.75855 22.2486i −0.326014 1.25958i
\(313\) −18.1139 + 13.1605i −1.02386 + 0.743875i −0.967070 0.254511i \(-0.918085\pi\)
−0.0567864 + 0.998386i \(0.518085\pi\)
\(314\) −5.12853 4.94852i −0.289419 0.279261i
\(315\) −1.34228 + 1.58706i −0.0756292 + 0.0894205i
\(316\) −1.30597 3.57905i −0.0734667 0.201337i
\(317\) −16.3147 5.30095i −0.916323 0.297731i −0.187365 0.982290i \(-0.559995\pi\)
−0.728957 + 0.684559i \(0.759995\pi\)
\(318\) 1.84965 + 0.179255i 0.103723 + 0.0100521i
\(319\) −12.3408 4.00976i −0.690950 0.224503i
\(320\) −17.2763 + 4.64015i −0.965772 + 0.259392i
\(321\) −0.499113 + 0.186028i −0.0278578 + 0.0103831i
\(322\) 2.77529 0.490524i 0.154661 0.0273358i
\(323\) 20.2029 + 14.6783i 1.12412 + 0.816722i
\(324\) 17.8951 + 1.94032i 0.994173 + 0.107796i
\(325\) 13.8570 18.9248i 0.768650 1.04976i
\(326\) −2.06497 + 14.7366i −0.114368 + 0.816185i
\(327\) −8.45036 + 12.7387i −0.467306 + 0.704452i
\(328\) −4.31757 0.448460i −0.238398 0.0247621i
\(329\) −2.09274 + 0.679973i −0.115377 + 0.0374881i
\(330\) 8.04340 6.59718i 0.442775 0.363163i
\(331\) 33.9964 + 11.0461i 1.86861 + 0.607149i 0.992047 + 0.125867i \(0.0401713\pi\)
0.876566 + 0.481282i \(0.159829\pi\)
\(332\) 4.93314 + 1.41020i 0.270741 + 0.0773950i
\(333\) 2.73159 11.7221i 0.149690 0.642369i
\(334\) 6.26192 3.33280i 0.342637 0.182363i
\(335\) 2.37075 14.7911i 0.129528 0.808123i
\(336\) −0.891421 1.95292i −0.0486310 0.106540i
\(337\) −3.49101 + 2.53637i −0.190167 + 0.138165i −0.678795 0.734328i \(-0.737498\pi\)
0.488628 + 0.872492i \(0.337498\pi\)
\(338\) −11.2440 + 5.98440i −0.611591 + 0.325508i
\(339\) −13.0994 8.68964i −0.711463 0.471957i
\(340\) −20.0858 2.48736i −1.08931 0.134896i
\(341\) 6.73149 + 9.26510i 0.364531 + 0.501733i
\(342\) 21.8419 + 8.42553i 1.18108 + 0.455601i
\(343\) 4.30823i 0.232623i
\(344\) 7.91132 + 7.10590i 0.426550 + 0.383124i
\(345\) 2.89097 24.7408i 0.155645 1.33200i
\(346\) −17.2554 + 3.04985i −0.927657 + 0.163961i
\(347\) 4.70767 + 14.4887i 0.252721 + 0.777795i 0.994270 + 0.106896i \(0.0340913\pi\)
−0.741549 + 0.670898i \(0.765909\pi\)
\(348\) 15.3664 + 17.9994i 0.823726 + 0.964870i
\(349\) 6.71463 0.359426 0.179713 0.983719i \(-0.442483\pi\)
0.179713 + 0.983719i \(0.442483\pi\)
\(350\) 0.966959 1.96609i 0.0516862 0.105092i
\(351\) −3.10734 24.1769i −0.165858 1.29047i
\(352\) 2.62044 + 10.4195i 0.139670 + 0.555364i
\(353\) −12.7469 + 4.14173i −0.678451 + 0.220442i −0.627917 0.778280i \(-0.716092\pi\)
−0.0505337 + 0.998722i \(0.516092\pi\)
\(354\) −32.6904 + 7.22610i −1.73747 + 0.384063i
\(355\) −4.84232 + 2.45601i −0.257004 + 0.130351i
\(356\) 14.9242 + 10.0488i 0.790979 + 0.532585i
\(357\) −0.103457 2.42664i −0.00547553 0.128431i
\(358\) −13.3861 + 27.4739i −0.707477 + 1.45204i
\(359\) −19.8499 + 14.4218i −1.04764 + 0.761153i −0.971762 0.235965i \(-0.924175\pi\)
−0.0758753 + 0.997117i \(0.524175\pi\)
\(360\) −18.7960 + 2.59028i −0.990637 + 0.136520i
\(361\) 9.26145 + 6.72883i 0.487445 + 0.354149i
\(362\) −27.4106 + 14.5888i −1.44067 + 0.766770i
\(363\) 7.96073 + 10.0291i 0.417830 + 0.526391i
\(364\) −2.28940 + 1.79168i −0.119997 + 0.0939097i
\(365\) −9.57455 + 18.7054i −0.501155 + 0.979087i
\(366\) −11.7707 20.0109i −0.615263 1.04599i
\(367\) −29.8410 9.69594i −1.55769 0.506124i −0.601500 0.798872i \(-0.705430\pi\)
−0.956190 + 0.292748i \(0.905430\pi\)
\(368\) 21.8391 + 13.5972i 1.13844 + 0.708801i
\(369\) −4.48398 1.04490i −0.233427 0.0543951i
\(370\) 0.203109 + 12.6856i 0.0105591 + 0.659495i
\(371\) −0.0726419 0.223569i −0.00377138 0.0116071i
\(372\) −1.63446 20.8237i −0.0847426 1.07966i
\(373\) 2.56104 + 1.86070i 0.132606 + 0.0963436i 0.652111 0.758124i \(-0.273884\pi\)
−0.519505 + 0.854467i \(0.673884\pi\)
\(374\) −1.68686 + 12.0382i −0.0872256 + 0.622483i
\(375\) −14.1909 13.1764i −0.732817 0.680426i
\(376\) −18.3595 8.14730i −0.946819 0.420165i
\(377\) 18.8382 25.9286i 0.970218 1.33539i
\(378\) −0.678901 2.17340i −0.0349189 0.111788i
\(379\) −16.6493 + 5.40969i −0.855217 + 0.277877i −0.703630 0.710567i \(-0.748439\pi\)
−0.151588 + 0.988444i \(0.548439\pi\)
\(380\) −24.4900 3.03275i −1.25631 0.155577i
\(381\) −6.37346 + 22.8908i −0.326522 + 1.17273i
\(382\) −7.38910 1.03540i −0.378059 0.0529757i
\(383\) −6.59223 + 20.2888i −0.336847 + 1.03671i 0.628958 + 0.777439i \(0.283482\pi\)
−0.965805 + 0.259270i \(0.916518\pi\)
\(384\) 5.85846 18.6997i 0.298963 0.954265i
\(385\) −1.17140 0.599593i −0.0597002 0.0305581i
\(386\) −2.66589 2.57232i −0.135690 0.130928i
\(387\) 7.38229 + 8.52760i 0.375263 + 0.433482i
\(388\) −23.5926 + 8.60878i −1.19773 + 0.437045i
\(389\) −4.43623 + 6.10594i −0.224926 + 0.309583i −0.906533 0.422134i \(-0.861281\pi\)
0.681608 + 0.731718i \(0.261281\pi\)
\(390\) 9.35796 + 23.9297i 0.473859 + 1.21173i
\(391\) 17.1085 + 23.5478i 0.865213 + 1.19086i
\(392\) 13.0487 14.5277i 0.659057 0.733758i
\(393\) −0.109506 2.56853i −0.00552387 0.129565i
\(394\) 29.1932 + 14.2238i 1.47073 + 0.716582i
\(395\) 1.92678 + 3.79888i 0.0969467 + 0.191142i
\(396\) 1.37482 + 11.3125i 0.0690871 + 0.568475i
\(397\) −8.37440 25.7738i −0.420299 1.29355i −0.907424 0.420216i \(-0.861954\pi\)
0.487125 0.873332i \(-0.338046\pi\)
\(398\) 6.50460 6.74121i 0.326046 0.337906i
\(399\) −0.126142 2.95872i −0.00631498 0.148121i
\(400\) 18.5592 7.45368i 0.927958 0.372684i
\(401\) 15.4298i 0.770526i −0.922807 0.385263i \(-0.874111\pi\)
0.922807 0.385263i \(-0.125889\pi\)
\(402\) 12.2834 + 10.8809i 0.612638 + 0.542692i
\(403\) −26.9020 + 8.74099i −1.34008 + 0.435420i
\(404\) 17.4910 0.625070i 0.870211 0.0310984i
\(405\) −20.1233 + 0.231460i −0.999934 + 0.0115013i
\(406\) 1.31129 2.69132i 0.0650781 0.133568i
\(407\) 7.62007 0.377713
\(408\) 14.0991 17.1105i 0.698010 0.847094i
\(409\) −23.6000 + 17.1464i −1.16694 + 0.847834i −0.990640 0.136502i \(-0.956414\pi\)
−0.176303 + 0.984336i \(0.556414\pi\)
\(410\) 4.85254 0.0776938i 0.239650 0.00383703i
\(411\) −26.2480 17.4119i −1.29472 0.858867i
\(412\) −3.20149 8.77378i −0.157726 0.432253i
\(413\) 2.48933 + 3.42626i 0.122492 + 0.168595i
\(414\) 21.1774 + 17.2068i 1.04081 + 0.845670i
\(415\) −5.66405 0.907848i −0.278037 0.0445645i
\(416\) −26.4761 1.79720i −1.29810 0.0881148i
\(417\) 5.15985 18.5320i 0.252679 0.907517i
\(418\) −2.05674 + 14.6778i −0.100598 + 0.717916i
\(419\) 8.89913 27.3887i 0.434751 1.33803i −0.458591 0.888648i \(-0.651646\pi\)
0.893342 0.449378i \(-0.148354\pi\)
\(420\) 1.24984 + 2.04903i 0.0609862 + 0.0999824i
\(421\) 7.02569 + 21.6229i 0.342411 + 1.05383i 0.962955 + 0.269662i \(0.0869119\pi\)
−0.620544 + 0.784172i \(0.713088\pi\)
\(422\) 23.0087 4.06673i 1.12005 0.197965i
\(423\) −18.2390 11.0100i −0.886809 0.535326i
\(424\) 0.870380 1.96135i 0.0422694 0.0952518i
\(425\) 22.6280 + 0.0837748i 1.09762 + 0.00406367i
\(426\) 0.573726 5.92004i 0.0277971 0.286827i
\(427\) −1.72620 + 2.37591i −0.0835366 + 0.114978i
\(428\) 0.0219660 + 0.614664i 0.00106177 + 0.0297109i
\(429\) 14.4605 5.38966i 0.698159 0.260215i
\(430\) −9.72922 6.83343i −0.469185 0.329537i
\(431\) 4.98781 15.3509i 0.240255 0.739428i −0.756126 0.654426i \(-0.772910\pi\)
0.996381 0.0850017i \(-0.0270896\pi\)
\(432\) 8.64657 18.9007i 0.416008 0.909361i
\(433\) −3.93756 + 12.1186i −0.189227 + 0.582380i −0.999996 0.00298628i \(-0.999049\pi\)
0.810769 + 0.585367i \(0.199049\pi\)
\(434\) −2.33247 + 1.24142i −0.111962 + 0.0595899i
\(435\) −19.4569 17.9322i −0.932886 0.859781i
\(436\) 10.8787 + 13.9008i 0.520996 + 0.665725i
\(437\) 20.8598 + 28.7110i 0.997859 + 1.37343i
\(438\) −11.6708 19.8411i −0.557653 0.948046i
\(439\) 0.00992669 0.0136629i 0.000473775 0.000652095i −0.808780 0.588111i \(-0.799872\pi\)
0.809254 + 0.587459i \(0.199872\pi\)
\(440\) −4.29772 11.2170i −0.204886 0.534751i
\(441\) 15.6593 13.5562i 0.745683 0.645533i
\(442\) −26.9909 13.1507i −1.28383 0.625517i
\(443\) 13.3387 0.633739 0.316870 0.948469i \(-0.397368\pi\)
0.316870 + 0.948469i \(0.397368\pi\)
\(444\) −11.8486 7.26428i −0.562311 0.344747i
\(445\) −17.9062 9.16544i −0.848834 0.434484i
\(446\) −28.5764 + 5.05080i −1.35313 + 0.239162i
\(447\) −6.26319 16.8042i −0.296239 0.794810i
\(448\) −2.46463 + 0.265136i −0.116443 + 0.0125265i
\(449\) 34.1036i 1.60945i −0.593649 0.804724i \(-0.702313\pi\)
0.593649 0.804724i \(-0.297687\pi\)
\(450\) 20.5194 5.38078i 0.967295 0.253652i
\(451\) 2.91485i 0.137255i
\(452\) −14.2944 + 11.1868i −0.672351 + 0.526181i
\(453\) 11.6798 + 31.3369i 0.548764 + 1.47234i
\(454\) −3.00428 16.9976i −0.140998 0.797737i
\(455\) 2.30255 2.29404i 0.107945 0.107546i
\(456\) 17.1906 20.8622i 0.805022 0.976962i
\(457\) −31.6417 −1.48014 −0.740069 0.672531i \(-0.765207\pi\)
−0.740069 + 0.672531i \(0.765207\pi\)
\(458\) 1.94660 3.99524i 0.0909585 0.186686i
\(459\) 17.1075 16.1347i 0.798510 0.753104i
\(460\) −26.0552 12.1826i −1.21483 0.568017i
\(461\) −7.09986 + 9.77212i −0.330673 + 0.455133i −0.941688 0.336486i \(-0.890762\pi\)
0.611015 + 0.791619i \(0.290762\pi\)
\(462\) 1.24252 0.730869i 0.0578075 0.0340031i
\(463\) −20.5543 28.2905i −0.955238 1.31477i −0.949161 0.314791i \(-0.898066\pi\)
−0.00607669 0.999982i \(-0.501934\pi\)
\(464\) 25.3212 10.2784i 1.17551 0.477165i
\(465\) 4.59004 + 22.8977i 0.212858 + 1.06186i
\(466\) −6.19408 11.6379i −0.286935 0.539116i
\(467\) −3.83021 + 11.7882i −0.177241 + 0.545492i −0.999729 0.0232909i \(-0.992586\pi\)
0.822488 + 0.568783i \(0.192586\pi\)
\(468\) −27.6230 5.40478i −1.27687 0.249836i
\(469\) 0.641453 1.97419i 0.0296196 0.0911596i
\(470\) 21.4661 + 6.59676i 0.990159 + 0.304286i
\(471\) −8.17875 + 3.04836i −0.376857 + 0.140461i
\(472\) −3.99395 + 38.4519i −0.183836 + 1.76989i
\(473\) −4.19723 + 5.77700i −0.192989 + 0.265627i
\(474\) −4.64437 0.450098i −0.213323 0.0206737i
\(475\) 27.5896 + 0.102144i 1.26590 + 0.00468668i
\(476\) −2.69657 0.770852i −0.123597 0.0353319i
\(477\) 1.17621 1.94848i 0.0538549 0.0892147i
\(478\) −5.65366 31.9873i −0.258593 1.46307i
\(479\) −0.322045 0.991153i −0.0147146 0.0452869i 0.943430 0.331573i \(-0.107579\pi\)
−0.958144 + 0.286286i \(0.907579\pi\)
\(480\) −4.01066 + 21.5387i −0.183061 + 0.983102i
\(481\) −5.81604 + 17.8999i −0.265189 + 0.816166i
\(482\) 11.2518 + 1.57667i 0.512506 + 0.0718151i
\(483\) 0.925837 3.32522i 0.0421271 0.151303i
\(484\) 13.8896 5.06822i 0.631346 0.230374i
\(485\) 25.0417 12.7010i 1.13708 0.576725i
\(486\) 11.6073 18.7422i 0.526516 0.850165i
\(487\) 15.6093 + 21.4843i 0.707323 + 0.973547i 0.999851 + 0.0172900i \(0.00550384\pi\)
−0.292527 + 0.956257i \(0.594496\pi\)
\(488\) −26.2149 + 5.60565i −1.18669 + 0.253756i
\(489\) 15.1872 + 10.0746i 0.686788 + 0.455588i
\(490\) −12.5483 + 17.8659i −0.566875 + 0.807099i
\(491\) −25.8833 + 18.8053i −1.16810 + 0.848671i −0.990780 0.135483i \(-0.956741\pi\)
−0.177316 + 0.984154i \(0.556741\pi\)
\(492\) −2.77875 + 4.53237i −0.125276 + 0.204335i
\(493\) 30.9189 1.39252
\(494\) −32.9091 16.0343i −1.48065 0.721415i
\(495\) −3.03403 12.3743i −0.136370 0.556183i
\(496\) −23.4121 5.79679i −1.05124 0.260284i
\(497\) −0.715558 + 0.232499i −0.0320972 + 0.0104290i
\(498\) 4.16671 4.70375i 0.186715 0.210780i
\(499\) 22.0312i 0.986252i −0.869958 0.493126i \(-0.835854\pi\)
0.869958 0.493126i \(-0.164146\pi\)
\(500\) −19.6082 + 10.7479i −0.876907 + 0.480660i
\(501\) −0.370061 8.67997i −0.0165331 0.387792i
\(502\) 27.3300 + 26.3708i 1.21980 + 1.17699i
\(503\) −5.57845 17.1687i −0.248731 0.765514i −0.995000 0.0998705i \(-0.968157\pi\)
0.746270 0.665644i \(-0.231843\pi\)
\(504\) −2.62877 0.0480628i −0.117095 0.00214089i
\(505\) −19.3328 + 3.02533i −0.860296 + 0.134626i
\(506\) −7.56656 + 15.5298i −0.336375 + 0.690384i
\(507\) 0.664484 + 15.5858i 0.0295108 + 0.692191i
\(508\) 22.7591 + 15.3243i 1.00977 + 0.679905i
\(509\) 17.7421 + 24.4200i 0.786406 + 1.08240i 0.994546 + 0.104296i \(0.0332590\pi\)
−0.208140 + 0.978099i \(0.566741\pi\)
\(510\) −13.3701 + 20.8730i −0.592038 + 0.924270i
\(511\) −1.71156 + 2.35575i −0.0757147 + 0.104212i
\(512\) −18.3546 13.2328i −0.811167 0.584815i
\(513\) 20.8586 19.6725i 0.920930 0.868563i
\(514\) 3.81003 3.94862i 0.168053 0.174166i
\(515\) 4.72335 + 9.31267i 0.208136 + 0.410365i
\(516\) 12.0336 4.98153i 0.529752 0.219300i
\(517\) 4.16796 12.8277i 0.183307 0.564160i
\(518\) −0.243970 + 1.74109i −0.0107194 + 0.0764989i
\(519\) −5.75641 + 20.6746i −0.252679 + 0.907516i
\(520\) 29.6296 1.53414i 1.29934 0.0672764i
\(521\) 2.15432 0.699982i 0.0943826 0.0306668i −0.261445 0.965218i \(-0.584199\pi\)
0.355828 + 0.934552i \(0.384199\pi\)
\(522\) 28.0101 7.45599i 1.22597 0.326340i
\(523\) −2.94584 + 4.05459i −0.128812 + 0.177295i −0.868552 0.495598i \(-0.834949\pi\)
0.739739 + 0.672893i \(0.234949\pi\)
\(524\) −2.85424 0.815925i −0.124688 0.0356438i
\(525\) −1.66053 2.10795i −0.0724714 0.0919984i
\(526\) −19.5146 2.73450i −0.850879 0.119230i
\(527\) −22.0769 16.0398i −0.961685 0.698705i
\(528\) 12.8961 + 2.61562i 0.561230 + 0.113830i
\(529\) 5.67491 + 17.4656i 0.246735 + 0.759373i
\(530\) −0.704735 + 2.29324i −0.0306117 + 0.0996119i
\(531\) −9.30576 + 39.9339i −0.403835 + 1.73299i
\(532\) −3.28784 0.939874i −0.142546 0.0407487i
\(533\) 6.84712 + 2.22477i 0.296582 + 0.0963653i
\(534\) 18.9933 11.1721i 0.821922 0.483466i
\(535\) −0.106315 0.679386i −0.00459641 0.0293724i
\(536\) 16.3980 9.49415i 0.708287 0.410085i
\(537\) 23.2707 + 29.3169i 1.00421 + 1.26512i
\(538\) 9.53867 + 17.9220i 0.411241 + 0.772673i
\(539\) 10.6084 + 7.70744i 0.456935 + 0.331983i
\(540\) −7.07884 + 22.1335i −0.304625 + 0.952472i
\(541\) 2.54633 1.85001i 0.109475 0.0795383i −0.531701 0.846932i \(-0.678447\pi\)
0.641176 + 0.767394i \(0.278447\pi\)
\(542\) 1.92911 + 0.939915i 0.0828622 + 0.0403728i
\(543\) 1.61988 + 37.9952i 0.0695159 + 1.63053i
\(544\) −13.6106 21.6831i −0.583549 0.929654i
\(545\) −13.9289 13.9806i −0.596650 0.598863i
\(546\) 0.768488 + 3.47659i 0.0328883 + 0.148784i
\(547\) −19.1348 + 6.21729i −0.818147 + 0.265832i −0.688045 0.725668i \(-0.741531\pi\)
−0.130103 + 0.991501i \(0.541531\pi\)
\(548\) −28.6424 + 22.4155i −1.22354 + 0.957544i
\(549\) −28.3305 + 2.42008i −1.20912 + 0.103287i
\(550\) 6.26590 + 11.8787i 0.267179 + 0.506510i
\(551\) 37.6983 1.60600
\(552\) 26.5701 16.9344i 1.13090 0.720776i
\(553\) 0.182399 + 0.561367i 0.00775641 + 0.0238718i
\(554\) −3.17482 17.9625i −0.134885 0.763154i
\(555\) 14.1210 + 6.48442i 0.599402 + 0.275248i
\(556\) −18.4254 12.4063i −0.781413 0.526144i
\(557\) 2.68419i 0.113733i −0.998382 0.0568664i \(-0.981889\pi\)
0.998382 0.0568664i \(-0.0181109\pi\)
\(558\) −23.8679 9.20706i −1.01041 0.389766i
\(559\) −10.3669 14.2688i −0.438473 0.603507i
\(560\) 2.70054 0.622839i 0.114119 0.0263198i
\(561\) 12.4063 + 8.22986i 0.523795 + 0.347465i
\(562\) 16.9624 + 31.8703i 0.715516 + 1.34437i
\(563\) 5.37175 3.90280i 0.226392 0.164483i −0.468807 0.883301i \(-0.655316\pi\)
0.695199 + 0.718817i \(0.255316\pi\)
\(564\) −18.7096 + 15.9727i −0.787815 + 0.672571i
\(565\) 14.3765 14.3233i 0.604823 0.602588i
\(566\) −1.76297 3.31241i −0.0741031 0.139231i
\(567\) −2.75995 0.399433i −0.115907 0.0167746i
\(568\) −6.27755 2.78576i −0.263400 0.116888i
\(569\) 16.1239 + 5.23898i 0.675950 + 0.219629i 0.626821 0.779163i \(-0.284356\pi\)
0.0491284 + 0.998792i \(0.484356\pi\)
\(570\) −16.3017 + 25.4497i −0.682804 + 1.06597i
\(571\) 10.2552 3.33210i 0.429165 0.139444i −0.0864661 0.996255i \(-0.527557\pi\)
0.515631 + 0.856811i \(0.327557\pi\)
\(572\) −0.636407 17.8082i −0.0266095 0.744600i
\(573\) −5.05150 + 7.61502i −0.211030 + 0.318122i
\(574\) 0.666004 + 0.0933241i 0.0277985 + 0.00389527i
\(575\) 30.5467 + 10.0504i 1.27388 + 0.419131i
\(576\) −17.5589 16.3610i −0.731623 0.681710i
\(577\) −0.900509 0.654258i −0.0374887 0.0272371i 0.568883 0.822418i \(-0.307376\pi\)
−0.606372 + 0.795181i \(0.707376\pi\)
\(578\) −0.856908 4.84821i −0.0356427 0.201659i
\(579\) −4.25145 + 1.58459i −0.176684 + 0.0658532i
\(580\) −26.7379 + 14.7849i −1.11023 + 0.613909i
\(581\) −0.755990 0.245636i −0.0313638 0.0101907i
\(582\) −2.96698 + 30.6150i −0.122985 + 1.26903i
\(583\) 1.37038 + 0.445265i 0.0567555 + 0.0184410i
\(584\) −25.9925 + 5.55810i −1.07558 + 0.229996i
\(585\) 31.3836 + 2.31763i 1.29755 + 0.0958220i
\(586\) −25.2933 + 26.2134i −1.04486 + 1.08286i
\(587\) 6.04530 4.39217i 0.249516 0.181284i −0.455996 0.889982i \(-0.650717\pi\)
0.705512 + 0.708698i \(0.250717\pi\)
\(588\) −9.14766 22.0975i −0.377243 0.911287i
\(589\) −26.9176 19.5568i −1.10912 0.805824i
\(590\) −0.691935 43.2163i −0.0284865 1.77919i
\(591\) 31.1515 24.7269i 1.28140 1.01713i
\(592\) −12.2769 + 10.3356i −0.504575 + 0.424792i
\(593\) 41.8958i 1.72045i 0.509912 + 0.860226i \(0.329678\pi\)
−0.509912 + 0.860226i \(0.670322\pi\)
\(594\) 13.2238 + 4.46388i 0.542578 + 0.183155i
\(595\) 3.09611 + 0.496252i 0.126928 + 0.0203443i
\(596\) −20.6945 + 0.739552i −0.847681 + 0.0302932i
\(597\) −4.00692 10.7506i −0.163992 0.439992i
\(598\) −30.7051 29.6274i −1.25562 1.21155i
\(599\) −30.2844 −1.23739 −0.618693 0.785633i \(-0.712338\pi\)
−0.618693 + 0.785633i \(0.712338\pi\)
\(600\) 1.58107 24.4438i 0.0645467 0.997915i
\(601\) −5.91631 −0.241331 −0.120666 0.992693i \(-0.538503\pi\)
−0.120666 + 0.992693i \(0.538503\pi\)
\(602\) −1.18559 1.14397i −0.0483208 0.0466249i
\(603\) 18.5160 7.81481i 0.754030 0.318244i
\(604\) 38.5917 1.37914i 1.57028 0.0561164i
\(605\) −14.7427 + 7.47745i −0.599377 + 0.304001i
\(606\) 8.55961 19.6525i 0.347710 0.798330i
\(607\) 6.47572i 0.262842i 0.991327 + 0.131421i \(0.0419539\pi\)
−0.991327 + 0.131421i \(0.958046\pi\)
\(608\) −16.5949 26.4374i −0.673013 1.07218i
\(609\) −2.27958 2.87186i −0.0923731 0.116374i
\(610\) 28.3529 9.71693i 1.14798 0.393427i
\(611\) 26.9516 + 19.5815i 1.09034 + 0.792182i
\(612\) −11.4453 24.6238i −0.462648 0.995360i
\(613\) 14.2311 10.3395i 0.574787 0.417607i −0.262054 0.965053i \(-0.584400\pi\)
0.836841 + 0.547446i \(0.184400\pi\)
\(614\) −12.2350 + 12.6800i −0.493763 + 0.511723i
\(615\) 2.48044 5.40159i 0.100021 0.217813i
\(616\) −0.348068 1.62775i −0.0140241 0.0655838i
\(617\) −20.9543 6.80846i −0.843587 0.274098i −0.144830 0.989457i \(-0.546263\pi\)
−0.698758 + 0.715358i \(0.746263\pi\)
\(618\) −11.3853 1.10338i −0.457985 0.0443845i
\(619\) 19.7409 + 6.41419i 0.793452 + 0.257808i 0.677573 0.735455i \(-0.263032\pi\)
0.115879 + 0.993263i \(0.463032\pi\)
\(620\) 26.7616 + 3.31406i 1.07477 + 0.133096i
\(621\) 30.2077 14.2945i 1.21219 0.573618i
\(622\) −1.96821 11.1358i −0.0789182 0.446503i
\(623\) −2.25509 1.63842i −0.0903484 0.0656420i
\(624\) −15.9872 + 28.2972i −0.640000 + 1.13279i
\(625\) 20.3337 14.5445i 0.813347 0.581779i
\(626\) 31.3578 + 4.39403i 1.25331 + 0.175621i
\(627\) 15.1266 + 10.0344i 0.604098 + 0.400735i
\(628\) 0.359947 + 10.0722i 0.0143635 + 0.401926i
\(629\) −17.2685 + 5.61086i −0.688538 + 0.223720i
\(630\) 2.92450 0.297050i 0.116515 0.0118348i
\(631\) 30.4448 + 9.89211i 1.21199 + 0.393799i 0.844158 0.536094i \(-0.180101\pi\)
0.367830 + 0.929893i \(0.380101\pi\)
\(632\) −2.18547 + 4.92484i −0.0869334 + 0.195900i
\(633\) 7.67572 27.5680i 0.305082 1.09573i
\(634\) 11.3980 + 21.4155i 0.452672 + 0.850517i
\(635\) −27.3067 13.9772i −1.08363 0.554667i
\(636\) −1.70637 1.99875i −0.0676619 0.0792557i
\(637\) −26.2020 + 19.0369i −1.03816 + 0.754269i
\(638\) 8.62169 + 16.1991i 0.341336 + 0.641329i
\(639\) −6.23634 3.76459i −0.246706 0.148925i
\(640\) 22.1386 + 12.2427i 0.875104 + 0.483934i
\(641\) 27.9458 + 38.4641i 1.10379 + 1.51924i 0.830258 + 0.557379i \(0.188193\pi\)
0.273535 + 0.961862i \(0.411807\pi\)
\(642\) 0.690624 + 0.300799i 0.0272567 + 0.0118716i
\(643\) 39.1531i 1.54405i −0.635594 0.772024i \(-0.719245\pi\)
0.635594 0.772024i \(-0.280755\pi\)
\(644\) −3.30610 2.22607i −0.130279 0.0877196i
\(645\) −12.6940 + 7.13382i −0.499828 + 0.280894i
\(646\) −6.14674 34.7770i −0.241840 1.36828i
\(647\) 2.07945 + 6.39988i 0.0817515 + 0.251605i 0.983575 0.180499i \(-0.0577713\pi\)
−0.901824 + 0.432104i \(0.857771\pi\)
\(648\) −16.3065 19.5473i −0.640580 0.767891i
\(649\) −25.9594 −1.01900
\(650\) −32.6861 + 5.65247i −1.28206 + 0.221708i
\(651\) 0.137842 + 3.23316i 0.00540246 + 0.126718i
\(652\) 16.5726 12.9697i 0.649033 0.507932i
\(653\) 26.7002 8.67542i 1.04486 0.339495i 0.264210 0.964465i \(-0.414889\pi\)
0.780649 + 0.624970i \(0.214889\pi\)
\(654\) 21.1091 4.66609i 0.825431 0.182459i
\(655\) 3.27714 + 0.525268i 0.128048 + 0.0205239i
\(656\) 3.95362 + 4.69617i 0.154363 + 0.183355i
\(657\) −28.0902 + 2.39955i −1.09590 + 0.0936154i
\(658\) 2.79750 + 1.36302i 0.109058 + 0.0531362i
\(659\) 10.1120 7.34678i 0.393906 0.286190i −0.373148 0.927772i \(-0.621722\pi\)
0.767054 + 0.641582i \(0.221722\pi\)
\(660\) −14.6641 1.18451i −0.570798 0.0461069i
\(661\) 18.2915 + 13.2896i 0.711457 + 0.516904i 0.883644 0.468160i \(-0.155083\pi\)
−0.172186 + 0.985064i \(0.555083\pi\)
\(662\) −23.7511 44.6255i −0.923113 1.73442i
\(663\) −28.8015 + 22.8616i −1.11856 + 0.887870i
\(664\) −3.63566 6.27941i −0.141091 0.243688i
\(665\) 3.77498 + 0.605063i 0.146387 + 0.0234633i
\(666\) −14.2908 + 9.24724i −0.553759 + 0.358323i
\(667\) 41.7892 + 13.5781i 1.61808 + 0.525747i
\(668\) −9.64550 2.75730i −0.373196 0.106683i
\(669\) −9.53310 + 34.2389i −0.368571 + 1.32375i
\(670\) −16.9373 + 12.7249i −0.654344 + 0.491604i
\(671\) −5.56271 17.1202i −0.214746 0.660920i
\(672\) −1.01053 + 2.86284i −0.0389819 + 0.110436i
\(673\) 12.8972 + 9.37034i 0.497149 + 0.361200i 0.807927 0.589283i \(-0.200590\pi\)
−0.310778 + 0.950483i \(0.600590\pi\)
\(674\) 6.04346 + 0.846843i 0.232786 + 0.0326192i
\(675\) 4.90765 25.5130i 0.188895 0.981997i
\(676\) 17.3195 + 4.95103i 0.666136 + 0.190424i
\(677\) 23.1821 31.9074i 0.890960 1.22630i −0.0823033 0.996607i \(-0.526228\pi\)
0.973263 0.229694i \(-0.0737724\pi\)
\(678\) 4.79822 + 21.7068i 0.184275 + 0.833646i
\(679\) 3.70045 1.20235i 0.142010 0.0461420i
\(680\) 17.9988 + 22.2553i 0.690222 + 0.853451i
\(681\) −20.3657 5.67040i −0.780416 0.217290i
\(682\) 2.24751 16.0393i 0.0860617 0.614176i
\(683\) 7.28659 22.4258i 0.278814 0.858100i −0.709371 0.704835i \(-0.751021\pi\)
0.988185 0.153265i \(-0.0489789\pi\)
\(684\) −13.9548 30.0230i −0.533577 1.14796i
\(685\) 28.8069 28.7005i 1.10066 1.09659i
\(686\) −4.23060 + 4.38449i −0.161525 + 0.167401i
\(687\) −3.38401 4.26325i −0.129108 0.162653i
\(688\) −1.07350 15.0004i −0.0409269 0.571886i
\(689\) −2.09190 + 2.87925i −0.0796950 + 0.109691i
\(690\) −27.2372 + 22.3399i −1.03690 + 0.850464i
\(691\) −10.9643 15.0910i −0.417100 0.574089i 0.547832 0.836588i \(-0.315453\pi\)
−0.964932 + 0.262500i \(0.915453\pi\)
\(692\) 20.5557 + 13.8407i 0.781412 + 0.526143i
\(693\) −0.150269 1.75911i −0.00570823 0.0668231i
\(694\) 9.43664 19.3680i 0.358210 0.735200i
\(695\) 22.1070 + 11.3157i 0.838568 + 0.429229i
\(696\) 2.03668 33.4075i 0.0772002 1.26631i
\(697\) 2.14628 + 6.60557i 0.0812962 + 0.250204i
\(698\) −6.83348 6.59364i −0.258651 0.249573i
\(699\) −16.1319 + 0.687766i −0.610165 + 0.0260137i
\(700\) −2.91474 + 1.05136i −0.110167 + 0.0397376i
\(701\) 22.0139i 0.831452i −0.909490 0.415726i \(-0.863528\pi\)
0.909490 0.415726i \(-0.136472\pi\)
\(702\) −20.5789 + 27.6562i −0.776702 + 1.04382i
\(703\) −21.0548 + 6.84113i −0.794098 + 0.258018i
\(704\) 7.56497 13.1772i 0.285116 0.496634i
\(705\) 18.6397 20.2245i 0.702010 0.761699i
\(706\) 17.0397 + 8.30220i 0.641296 + 0.312457i
\(707\) −2.71158 −0.101979
\(708\) 40.3649 + 24.7473i 1.51701 + 0.930061i
\(709\) −26.2223 + 19.0516i −0.984798 + 0.715498i −0.958776 0.284164i \(-0.908284\pi\)
−0.0260224 + 0.999661i \(0.508284\pi\)
\(710\) 7.33978 + 2.25559i 0.275457 + 0.0846507i
\(711\) −2.95339 + 4.89251i −0.110761 + 0.183483i
\(712\) −5.32061 24.8819i −0.199398 0.932489i
\(713\) −22.7947 31.3742i −0.853667 1.17497i
\(714\) −2.27762 + 2.57118i −0.0852379 + 0.0962241i
\(715\) 3.08020 + 19.6834i 0.115193 + 0.736117i
\(716\) 40.6019 14.8154i 1.51736 0.553676i
\(717\) −38.3257 10.6710i −1.43130 0.398515i
\(718\) 34.3632 + 4.81515i 1.28242 + 0.179700i
\(719\) −11.1789 + 34.4052i −0.416903 + 1.28310i 0.493634 + 0.869669i \(0.335668\pi\)
−0.910538 + 0.413426i \(0.864332\pi\)
\(720\) 21.6723 + 15.8212i 0.807680 + 0.589622i
\(721\) 0.447138 + 1.37615i 0.0166523 + 0.0512505i
\(722\) −2.81779 15.9425i −0.104867 0.593318i
\(723\) 7.69223 11.5958i 0.286077 0.431254i
\(724\) 42.2217 + 12.0697i 1.56916 + 0.448565i
\(725\) 27.7099 19.9761i 1.02912 0.741895i
\(726\) 1.74674 18.0239i 0.0648277 0.668929i
\(727\) 9.73296 13.3963i 0.360976 0.496840i −0.589445 0.807809i \(-0.700653\pi\)
0.950420 + 0.310969i \(0.100653\pi\)
\(728\) 4.08932 + 0.424752i 0.151560 + 0.0157424i
\(729\) −14.5657 22.7341i −0.539470 0.842005i
\(730\) 28.1124 9.63450i 1.04049 0.356589i
\(731\) 5.25793 16.1822i 0.194472 0.598522i
\(732\) −7.67129 + 31.9237i −0.283539 + 1.17993i
\(733\) −2.17150 + 6.68320i −0.0802063 + 0.246850i −0.983117 0.182979i \(-0.941426\pi\)
0.902911 + 0.429829i \(0.141426\pi\)
\(734\) 20.8480 + 39.1709i 0.769514 + 1.44582i
\(735\) 13.0999 + 23.3102i 0.483199 + 0.859811i
\(736\) −8.87353 35.2834i −0.327083 1.30056i
\(737\) 7.47882 + 10.2937i 0.275486 + 0.379174i
\(738\) 3.53728 + 5.46657i 0.130209 + 0.201227i
\(739\) −13.1867 + 18.1499i −0.485081 + 0.667656i −0.979471 0.201584i \(-0.935391\pi\)
0.494391 + 0.869240i \(0.335391\pi\)
\(740\) 12.2503 13.1096i 0.450332 0.481919i
\(741\) −35.1167 + 27.8743i −1.29004 + 1.02399i
\(742\) −0.145612 + 0.298859i −0.00534560 + 0.0109715i
\(743\) −45.8197 −1.68096 −0.840480 0.541842i \(-0.817727\pi\)
−0.840480 + 0.541842i \(0.817727\pi\)
\(744\) −18.7851 + 22.7973i −0.688695 + 0.835790i
\(745\) 22.8736 3.57943i 0.838023 0.131140i
\(746\) −0.779195 4.40853i −0.0285283 0.161408i
\(747\) −2.99258 7.09046i −0.109493 0.259426i
\(748\) 13.5380 10.5949i 0.495000 0.387386i
\(749\) 0.0952894i 0.00348180i
\(750\) 1.50317 + 27.3448i 0.0548878 + 0.998493i
\(751\) 12.7397i 0.464880i 0.972611 + 0.232440i \(0.0746709\pi\)
−0.972611 + 0.232440i \(0.925329\pi\)
\(752\) 10.6840 + 26.3202i 0.389604 + 0.959798i
\(753\) 43.5848 16.2448i 1.58832 0.591992i
\(754\) −44.6331 + 7.88876i −1.62544 + 0.287292i
\(755\) −42.6553 + 6.67502i −1.55239 + 0.242929i
\(756\) −1.44332 + 2.87854i −0.0524930 + 0.104691i
\(757\) 8.77358 0.318881 0.159441 0.987208i \(-0.449031\pi\)
0.159441 + 0.987208i \(0.449031\pi\)
\(758\) 22.2562 + 10.8439i 0.808382 + 0.393867i
\(759\) 13.1539 + 16.5716i 0.477456 + 0.601509i
\(760\) 21.9453 + 27.1351i 0.796041 + 0.984293i
\(761\) −19.8575 + 27.3316i −0.719836 + 0.990769i 0.279694 + 0.960089i \(0.409767\pi\)
−0.999529 + 0.0306793i \(0.990233\pi\)
\(762\) 28.9646 17.0373i 1.04928 0.617198i
\(763\) −1.60743 2.21243i −0.0581928 0.0800955i
\(764\) 6.50314 + 8.30968i 0.235275 + 0.300634i
\(765\) 15.9872 + 25.8083i 0.578018 + 0.933103i
\(766\) 26.6321 14.1745i 0.962258 0.512145i
\(767\) 19.8136 60.9799i 0.715427 2.20186i
\(768\) −24.3249 + 13.2778i −0.877749 + 0.479121i
\(769\) −5.09067 + 15.6675i −0.183574 + 0.564984i −0.999921 0.0125785i \(-0.995996\pi\)
0.816346 + 0.577563i \(0.195996\pi\)
\(770\) 0.603348 + 1.76050i 0.0217431 + 0.0634441i
\(771\) −2.34703 6.29709i −0.0845262 0.226784i
\(772\) 0.187107 + 5.23571i 0.00673412 + 0.188437i
\(773\) −8.59165 + 11.8254i −0.309020 + 0.425330i −0.935075 0.354449i \(-0.884668\pi\)
0.626055 + 0.779779i \(0.284668\pi\)
\(774\) 0.860982 15.9278i 0.0309474 0.572513i
\(775\) −30.1487 0.111618i −1.08297 0.00400945i
\(776\) 32.4639 + 14.4063i 1.16538 + 0.517157i
\(777\) 1.79432 + 1.19028i 0.0643708 + 0.0427011i
\(778\) 10.5107 1.85773i 0.376826 0.0666028i
\(779\) 2.61689 + 8.05395i 0.0937597 + 0.288563i
\(780\) 13.9749 33.5426i 0.500380 1.20102i
\(781\) 1.42512 4.38608i 0.0509950 0.156946i
\(782\) 5.71218 40.7648i 0.204267 1.45775i
\(783\) 6.57665 34.8853i 0.235030 1.24670i
\(784\) −27.5455 + 1.97129i −0.983768 + 0.0704030i
\(785\) −1.74214 11.1328i −0.0621797 0.397346i
\(786\) −2.41080 + 2.72153i −0.0859904 + 0.0970736i
\(787\) −21.4329 29.4999i −0.764002 1.05156i −0.996871 0.0790499i \(-0.974811\pi\)
0.232869 0.972508i \(-0.425189\pi\)
\(788\) −15.7425 43.1427i −0.560802 1.53689i
\(789\) −13.3411 + 20.1113i −0.474954 + 0.715982i
\(790\) 1.76955 5.75818i 0.0629577 0.204867i
\(791\) 2.27508 1.65294i 0.0808926 0.0587719i
\(792\) 9.70951 12.8628i 0.345012 0.457059i
\(793\) 44.4621 1.57889
\(794\) −16.7867 + 34.4535i −0.595738 + 1.22271i
\(795\) 2.16060 + 1.99128i 0.0766284 + 0.0706236i
\(796\) −13.2395 + 0.473134i −0.469261 + 0.0167698i
\(797\) −36.5460 + 11.8745i −1.29452 + 0.420617i −0.873673 0.486513i \(-0.838269\pi\)
−0.420852 + 0.907130i \(0.638269\pi\)
\(798\) −2.77703 + 3.13496i −0.0983058 + 0.110976i
\(799\) 32.1387i 1.13699i
\(800\) −26.2070 10.6391i −0.926559 0.376150i
\(801\) −2.29702 26.8899i −0.0811612 0.950109i
\(802\) −15.1517 + 15.7029i −0.535026 + 0.554488i
\(803\) −5.51552 16.9750i −0.194638 0.599035i
\(804\) −1.81591 23.1356i −0.0640423 0.815928i
\(805\) 3.96669 + 2.03039i 0.139807 + 0.0715618i
\(806\) 35.9617 + 17.5215i 1.26670 + 0.617170i
\(807\) 24.8426 1.05914i 0.874501 0.0372834i
\(808\) −18.4144 16.5397i −0.647817 0.581865i
\(809\) 7.99200 + 11.0000i 0.280984 + 0.386741i 0.926059 0.377378i \(-0.123174\pi\)
−0.645076 + 0.764119i \(0.723174\pi\)
\(810\) 20.7068 + 19.5251i 0.727561 + 0.686043i
\(811\) 8.66202 11.9222i 0.304164 0.418647i −0.629386 0.777093i \(-0.716693\pi\)
0.933550 + 0.358446i \(0.116693\pi\)
\(812\) −3.97732 + 1.45130i −0.139577 + 0.0509306i
\(813\) 2.05851 1.63397i 0.0721952 0.0573059i
\(814\) −7.75495 7.48276i −0.271811 0.262271i
\(815\) −16.6678 + 16.6062i −0.583846 + 0.581689i
\(816\) −31.1508 + 3.56826i −1.09050 + 0.124914i
\(817\) 6.41082 19.7305i 0.224286 0.690282i
\(818\) 40.8551 + 5.72484i 1.42846 + 0.200164i
\(819\) 4.24693 + 0.989657i 0.148400 + 0.0345814i
\(820\) −5.01473 4.68603i −0.175122 0.163643i
\(821\) −10.5257 + 3.41999i −0.367348 + 0.119359i −0.486873 0.873473i \(-0.661863\pi\)
0.119525 + 0.992831i \(0.461863\pi\)
\(822\) 9.61446 + 43.4952i 0.335343 + 1.51707i
\(823\) 5.33155 7.33825i 0.185846 0.255795i −0.705920 0.708291i \(-0.749466\pi\)
0.891766 + 0.452496i \(0.149466\pi\)
\(824\) −5.35752 + 12.0729i −0.186638 + 0.420579i
\(825\) 16.4359 0.639775i 0.572224 0.0222741i
\(826\) 0.831137 5.93138i 0.0289190 0.206379i
\(827\) −26.1938 19.0309i −0.910848 0.661770i 0.0303815 0.999538i \(-0.490328\pi\)
−0.941229 + 0.337769i \(0.890328\pi\)
\(828\) −4.65550 38.3072i −0.161790 1.33127i
\(829\) 3.91174 + 12.0391i 0.135860 + 0.418135i 0.995723 0.0923906i \(-0.0294509\pi\)
−0.859863 + 0.510526i \(0.829451\pi\)
\(830\) 4.87281 + 6.48590i 0.169138 + 0.225129i
\(831\) −21.5218 5.99230i −0.746584 0.207870i
\(832\) 25.1799 + 27.8280i 0.872956 + 0.964763i
\(833\) −29.7157 9.65521i −1.02959 0.334533i
\(834\) −23.4493 + 13.7932i −0.811982 + 0.477618i
\(835\) 11.0746 + 1.77507i 0.383253 + 0.0614288i
\(836\) 16.5065 12.9179i 0.570889 0.446777i
\(837\) −22.7934 + 21.4973i −0.787855 + 0.743055i
\(838\) −35.9518 + 19.1347i −1.24194 + 0.660998i
\(839\) −14.5164 10.5468i −0.501162 0.364115i 0.308299 0.951290i \(-0.400240\pi\)
−0.809461 + 0.587174i \(0.800240\pi\)
\(840\) 0.740141 3.31262i 0.0255373 0.114296i
\(841\) 14.2998 10.3894i 0.493095 0.358255i
\(842\) 14.0832 28.9047i 0.485338 0.996121i
\(843\) 44.1771 1.88344i 1.52154 0.0648692i
\(844\) −27.4094 18.4554i −0.943472 0.635262i
\(845\) −19.8857 3.18733i −0.684088 0.109647i
\(846\) 7.75016 + 29.1152i 0.266456 + 1.00100i
\(847\) −2.17856 + 0.707856i −0.0748561 + 0.0243222i
\(848\) −2.81180 + 1.14137i −0.0965575 + 0.0391949i
\(849\) −4.59149 + 0.195753i −0.157580 + 0.00671823i
\(850\) −22.9463 22.3055i −0.787050 0.765073i
\(851\) −25.8037 −0.884538
\(852\) −6.39725 + 5.46144i −0.219166 + 0.187106i
\(853\) −10.0268 30.8594i −0.343312 1.05661i −0.962481 0.271349i \(-0.912530\pi\)
0.619169 0.785258i \(-0.287470\pi\)
\(854\) 4.08985 0.722869i 0.139952 0.0247361i
\(855\) 19.4926 + 31.4672i 0.666634 + 1.07616i
\(856\) 0.581233 0.647114i 0.0198661 0.0221179i
\(857\) 43.8230i 1.49696i −0.663155 0.748482i \(-0.730783\pi\)
0.663155 0.748482i \(-0.269217\pi\)
\(858\) −20.0090 8.71485i −0.683095 0.297520i
\(859\) 8.76835 + 12.0686i 0.299172 + 0.411775i 0.931966 0.362545i \(-0.118092\pi\)
−0.632794 + 0.774320i \(0.718092\pi\)
\(860\) 3.19114 + 16.5083i 0.108817 + 0.562928i
\(861\) 0.455309 0.686367i 0.0155169 0.0233913i
\(862\) −20.1504 + 10.7247i −0.686325 + 0.365284i
\(863\) −23.2931 + 16.9234i −0.792905 + 0.576079i −0.908824 0.417180i \(-0.863019\pi\)
0.115919 + 0.993259i \(0.463019\pi\)
\(864\) −27.3598 + 10.7445i −0.930798 + 0.365535i
\(865\) −24.6630 12.6240i −0.838567 0.429228i
\(866\) 15.9074 8.46645i 0.540557 0.287702i
\(867\) −5.80890 1.61737i −0.197281 0.0549286i
\(868\) 3.59281 + 1.02705i 0.121948 + 0.0348605i
\(869\) −3.44095 1.11803i −0.116726 0.0379267i
\(870\) 2.19222 + 37.3558i 0.0743234 + 1.26648i
\(871\) −29.8887 + 9.71141i −1.01274 + 0.329059i
\(872\) 2.57901 24.8295i 0.0873361 0.840833i
\(873\) 32.2507 + 19.4683i 1.09152 + 0.658902i
\(874\) 6.96467 49.7031i 0.235583 1.68123i
\(875\) 3.09539 1.55559i 0.104643 0.0525886i
\(876\) −7.60622 + 31.6528i −0.256990 + 1.06945i
\(877\) −32.0411 23.2792i −1.08195 0.786084i −0.103930 0.994585i \(-0.533142\pi\)
−0.978022 + 0.208500i \(0.933142\pi\)
\(878\) −0.0235191 + 0.00415693i −0.000793732 + 0.000140290i
\(879\) 15.5810 + 41.8040i 0.525535 + 1.41001i
\(880\) −6.64111 + 15.6358i −0.223872 + 0.527084i
\(881\) −24.6902 8.02233i −0.831834 0.270279i −0.138016 0.990430i \(-0.544073\pi\)
−0.693818 + 0.720151i \(0.744073\pi\)
\(882\) −29.2484 1.58103i −0.984846 0.0532362i
\(883\) 13.9447 + 4.53091i 0.469277 + 0.152477i 0.534103 0.845419i \(-0.320649\pi\)
−0.0648264 + 0.997897i \(0.520649\pi\)
\(884\) 14.5549 + 39.8881i 0.489534 + 1.34158i
\(885\) −48.1061 22.0906i −1.61707 0.742566i
\(886\) −13.5748 13.0983i −0.456053 0.440047i
\(887\) 9.03957 6.56763i 0.303519 0.220519i −0.425592 0.904915i \(-0.639934\pi\)
0.729111 + 0.684396i \(0.239934\pi\)
\(888\) 4.92498 + 19.0280i 0.165271 + 0.638538i
\(889\) −3.43899 2.49857i −0.115340 0.0837994i
\(890\) 9.22283 + 26.9112i 0.309150 + 0.902065i
\(891\) 11.9245 12.2473i 0.399487 0.410301i
\(892\) 34.0420 + 22.9213i 1.13981 + 0.767462i
\(893\) 39.1857i 1.31130i
\(894\) −10.1273 + 23.2519i −0.338708 + 0.777661i
\(895\) −43.0957 + 21.8580i −1.44053 + 0.730632i
\(896\) 2.76861 + 2.15039i 0.0924927 + 0.0718394i
\(897\) −48.9671 + 18.2509i −1.63497 + 0.609379i
\(898\) −33.4891 + 34.7072i −1.11754 + 1.15820i
\(899\) −41.1951 −1.37393
\(900\) −26.1665 14.6737i −0.872215 0.489122i
\(901\) −3.43340 −0.114383
\(902\) −2.86233 + 2.96644i −0.0953050 + 0.0987717i
\(903\) −1.89072 + 0.704703i −0.0629192 + 0.0234511i
\(904\) 25.5326 + 2.65203i 0.849201 + 0.0882054i
\(905\) −48.4774 7.77009i −1.61144 0.258286i
\(906\) 18.8857 43.3609i 0.627436 1.44057i
\(907\) 17.1714i 0.570166i −0.958503 0.285083i \(-0.907979\pi\)
0.958503 0.285083i \(-0.0920212\pi\)
\(908\) −13.6339 + 20.2486i −0.452456 + 0.671974i
\(909\) −17.1830 19.8489i −0.569925 0.658345i
\(910\) −4.59601 + 0.0735865i −0.152356 + 0.00243937i
\(911\) 17.8851 + 12.9943i 0.592561 + 0.430521i 0.843231 0.537552i \(-0.180651\pi\)
−0.250670 + 0.968073i \(0.580651\pi\)
\(912\) −37.9811 + 4.35066i −1.25768 + 0.144065i
\(913\) 3.94184 2.86392i 0.130456 0.0947818i
\(914\) 32.2018 + 31.0716i 1.06514 + 1.02776i
\(915\) 4.26032 36.4597i 0.140842 1.20532i
\(916\) −5.90430 + 2.15444i −0.195084 + 0.0711847i
\(917\) 0.437405 + 0.142122i 0.0144444 + 0.00469327i
\(918\) −33.2543 0.378938i −1.09756 0.0125068i
\(919\) −38.5896 12.5385i −1.27295 0.413608i −0.406861 0.913490i \(-0.633377\pi\)
−0.866093 + 0.499882i \(0.833377\pi\)
\(920\) 14.5533 + 37.9839i 0.479807 + 1.25229i
\(921\) 7.53690 + 20.2215i 0.248349 + 0.666322i
\(922\) 16.8216 2.97316i 0.553989 0.0979159i
\(923\) 9.21539 + 6.69537i 0.303328 + 0.220381i
\(924\) −1.98222 0.476329i −0.0652101 0.0156701i
\(925\) −11.8512 + 16.1854i −0.389664 + 0.532172i
\(926\) −6.86266 + 48.9752i −0.225521 + 1.60942i
\(927\) −7.24000 + 11.9936i −0.237793 + 0.393922i
\(928\) −35.8626 14.4045i −1.17725 0.472851i
\(929\) 42.0578 13.6654i 1.37987 0.448347i 0.477243 0.878771i \(-0.341636\pi\)
0.902627 + 0.430424i \(0.141636\pi\)
\(930\) 17.8138 27.8103i 0.584138 0.911937i
\(931\) −36.2313 11.7723i −1.18743 0.385821i
\(932\) −5.12450 + 17.9264i −0.167859 + 0.587198i
\(933\) −13.3423 3.71489i −0.436809 0.121620i
\(934\) 15.4738 8.23564i 0.506318 0.269478i
\(935\) −13.6158 + 13.5655i −0.445284 + 0.443638i
\(936\) 22.8045 + 32.6257i 0.745388 + 1.06640i
\(937\) 22.1347 16.0818i 0.723109 0.525370i −0.164267 0.986416i \(-0.552526\pi\)
0.887376 + 0.461046i \(0.152526\pi\)
\(938\) −2.59142 + 1.37924i −0.0846130 + 0.0450337i
\(939\) 21.4376 32.3166i 0.699589 1.05461i
\(940\) −15.3682 27.7928i −0.501255 0.906503i
\(941\) −3.51780 4.84184i −0.114677 0.157839i 0.747820 0.663902i \(-0.231101\pi\)
−0.862497 + 0.506062i \(0.831101\pi\)
\(942\) 11.3169 + 4.92906i 0.368726 + 0.160598i
\(943\) 9.87048i 0.321427i
\(944\) 41.8237 35.2106i 1.36125 1.14601i
\(945\) 1.21848 3.38774i 0.0396370 0.110203i
\(946\) 9.94443 1.75765i 0.323321 0.0571461i
\(947\) 14.6379 + 45.0508i 0.475667 + 1.46395i 0.845055 + 0.534679i \(0.179567\pi\)
−0.369388 + 0.929275i \(0.620433\pi\)
\(948\) 4.28459 + 5.01875i 0.139157 + 0.163001i
\(949\) 44.0849 1.43106
\(950\) −27.9776 27.1964i −0.907713 0.882367i
\(951\) 29.6851 1.26559i 0.962604 0.0410396i
\(952\) 1.98734 + 3.43248i 0.0644100 + 0.111247i
\(953\) −6.80158 + 2.20997i −0.220325 + 0.0715879i −0.417099 0.908861i \(-0.636953\pi\)
0.196775 + 0.980449i \(0.436953\pi\)
\(954\) −3.11039 + 0.827953i −0.100703 + 0.0268060i
\(955\) −8.32652 8.35740i −0.269440 0.270439i
\(956\) −25.6572 + 38.1053i −0.829813 + 1.23241i
\(957\) 22.4544 0.957319i 0.725848 0.0309457i
\(958\) −0.645548 + 1.32494i −0.0208567 + 0.0428068i
\(959\) 4.55871 3.31210i 0.147208 0.106953i
\(960\) 25.2322 17.9815i 0.814366 0.580351i
\(961\) 4.33488 + 3.14947i 0.139835 + 0.101596i
\(962\) 23.4964 12.5055i 0.757553 0.403194i
\(963\) 0.697523 0.603841i 0.0224774 0.0194585i
\(964\) −9.90272 12.6536i −0.318945 0.407546i
\(965\) −0.905594 5.78701i −0.0291521 0.186290i
\(966\) −4.20753 + 2.47492i −0.135375 + 0.0796294i
\(967\) −4.85611 1.57785i −0.156162 0.0507401i 0.229893 0.973216i \(-0.426162\pi\)
−0.386055 + 0.922476i \(0.626162\pi\)
\(968\) −19.1123 8.48139i −0.614294 0.272602i
\(969\) −41.6682 11.6016i −1.33857 0.372698i
\(970\) −37.9571 11.6646i −1.21873 0.374528i
\(971\) 8.02856 + 24.7094i 0.257649 + 0.792961i 0.993296 + 0.115597i \(0.0368780\pi\)
−0.735647 + 0.677365i \(0.763122\pi\)
\(972\) −30.2172 + 7.67588i −0.969218 + 0.246204i
\(973\) 2.78415 + 2.02280i 0.0892557 + 0.0648481i
\(974\) 5.21163 37.1926i 0.166991 1.19173i
\(975\) −11.0419 + 39.0970i −0.353623 + 1.25211i
\(976\) 32.1836 + 20.0377i 1.03017 + 0.641391i
\(977\) 7.53705 10.3739i 0.241131 0.331889i −0.671249 0.741232i \(-0.734242\pi\)
0.912381 + 0.409343i \(0.134242\pi\)
\(978\) −5.56295 25.1664i −0.177884 0.804733i
\(979\) 16.2497 5.27984i 0.519342 0.168745i
\(980\) 30.3144 5.85993i 0.968358 0.187189i
\(981\) 6.00899 25.7865i 0.191852 0.823298i
\(982\) 44.8078 + 6.27872i 1.42988 + 0.200362i
\(983\) −18.4095 + 56.6587i −0.587173 + 1.80713i 0.00319176 + 0.999995i \(0.498984\pi\)
−0.590364 + 0.807137i \(0.701016\pi\)
\(984\) 7.27863 1.88391i 0.232034 0.0600570i
\(985\) 23.2258 + 45.7925i 0.740035 + 1.45907i
\(986\) −31.4661 30.3617i −1.00209 0.966915i
\(987\) 2.98516 2.36951i 0.0950188 0.0754224i
\(988\) 17.7463 + 48.6342i 0.564585 + 1.54726i
\(989\) 14.2130 19.5625i 0.451947 0.622051i
\(990\) −9.06359 + 15.5727i −0.288060 + 0.494932i
\(991\) −4.61149 6.34717i −0.146489 0.201625i 0.729467 0.684016i \(-0.239768\pi\)
−0.875956 + 0.482392i \(0.839768\pi\)
\(992\) 18.1342 + 28.8897i 0.575762 + 0.917248i
\(993\) −61.8576 + 2.63723i −1.96299 + 0.0836900i
\(994\) 0.956534 + 0.466050i 0.0303394 + 0.0147822i
\(995\) 14.6335 2.28996i 0.463914 0.0725968i
\(996\) −8.85946 + 0.695380i −0.280723 + 0.0220340i
\(997\) −6.23739 19.1967i −0.197540 0.607966i −0.999938 0.0111757i \(-0.996443\pi\)
0.802398 0.596790i \(-0.203557\pi\)
\(998\) −21.6342 + 22.4212i −0.684819 + 0.709729i
\(999\) 2.65754 + 20.6772i 0.0840808 + 0.654198i
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 300.2.n.a.191.14 yes 224
3.2 odd 2 inner 300.2.n.a.191.43 yes 224
4.3 odd 2 inner 300.2.n.a.191.48 yes 224
12.11 even 2 inner 300.2.n.a.191.9 yes 224
25.11 even 5 inner 300.2.n.a.11.9 224
75.11 odd 10 inner 300.2.n.a.11.48 yes 224
100.11 odd 10 inner 300.2.n.a.11.43 yes 224
300.11 even 10 inner 300.2.n.a.11.14 yes 224
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
300.2.n.a.11.9 224 25.11 even 5 inner
300.2.n.a.11.14 yes 224 300.11 even 10 inner
300.2.n.a.11.43 yes 224 100.11 odd 10 inner
300.2.n.a.11.48 yes 224 75.11 odd 10 inner
300.2.n.a.191.9 yes 224 12.11 even 2 inner
300.2.n.a.191.14 yes 224 1.1 even 1 trivial
300.2.n.a.191.43 yes 224 3.2 odd 2 inner
300.2.n.a.191.48 yes 224 4.3 odd 2 inner