Properties

Label 230.3.k.b.223.5
Level $230$
Weight $3$
Character 230.223
Analytic conductor $6.267$
Analytic rank $0$
Dimension $240$
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] = [230,3,Mod(3,230)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(230, base_ring=CyclotomicField(44))
 
chi = DirichletCharacter(H, H._module([33, 32]))
 
N = Newforms(chi, 3, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("230.3");
 
S:= CuspForms(chi, 3);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 230.k (of order \(44\), degree \(20\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(6.26704608029\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 223.5
Character \(\chi\) \(=\) 230.223
Dual form 230.3.k.b.197.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.100889 - 1.41061i) q^{2} +(-0.509045 - 0.110736i) q^{3} +(-1.97964 + 0.284630i) q^{4} +(2.51138 - 4.32353i) q^{5} +(-0.104848 + 0.729237i) q^{6} +(3.12441 - 5.72192i) q^{7} +(0.601225 + 2.76379i) q^{8} +(-7.93982 - 3.62600i) q^{9} +O(q^{10})\) \(q+(-0.100889 - 1.41061i) q^{2} +(-0.509045 - 0.110736i) q^{3} +(-1.97964 + 0.284630i) q^{4} +(2.51138 - 4.32353i) q^{5} +(-0.104848 + 0.729237i) q^{6} +(3.12441 - 5.72192i) q^{7} +(0.601225 + 2.76379i) q^{8} +(-7.93982 - 3.62600i) q^{9} +(-6.35219 - 3.10639i) q^{10} +(8.03552 + 9.27349i) q^{11} +(1.03925 + 0.0743284i) q^{12} +(0.106706 + 0.195417i) q^{13} +(-8.38662 - 3.83004i) q^{14} +(-1.75718 + 1.92277i) q^{15} +(3.83797 - 1.12693i) q^{16} +(-18.8281 - 25.1514i) q^{17} +(-4.31383 + 11.5658i) q^{18} +(0.992090 - 0.142641i) q^{19} +(-3.74104 + 9.27387i) q^{20} +(-2.22409 + 2.56673i) q^{21} +(12.2706 - 12.2706i) q^{22} +(-18.7736 - 13.2873i) q^{23} -1.47347i q^{24} +(-12.3859 - 21.7161i) q^{25} +(0.264892 - 0.170236i) q^{26} +(7.39358 + 5.53477i) q^{27} +(-4.55658 + 12.2167i) q^{28} +(6.83846 + 0.983222i) q^{29} +(2.88957 + 2.28471i) q^{30} +(-47.7322 - 30.6756i) q^{31} +(-1.97687 - 5.30019i) q^{32} +(-3.06354 - 5.61045i) q^{33} +(-33.5793 + 29.0966i) q^{34} +(-16.8923 - 27.8784i) q^{35} +(16.7501 + 4.91827i) q^{36} +(21.7620 + 58.3461i) q^{37} +(-0.301302 - 1.38506i) q^{38} +(-0.0326784 - 0.111293i) q^{39} +(13.4592 + 4.34152i) q^{40} +(12.0341 + 26.3510i) q^{41} +(3.84505 + 2.87837i) q^{42} +(50.6896 + 11.0269i) q^{43} +(-18.5470 - 16.0710i) q^{44} +(-35.6171 + 25.2218i) q^{45} +(-16.8492 + 27.8227i) q^{46} +(53.9305 - 53.9305i) q^{47} +(-2.07849 + 0.148657i) q^{48} +(3.51293 + 5.46622i) q^{49} +(-29.3834 + 19.6626i) q^{50} +(6.79919 + 14.8881i) q^{51} +(-0.266861 - 0.356485i) q^{52} +(65.3249 + 35.6701i) q^{53} +(7.06147 - 10.9879i) q^{54} +(60.2745 - 11.4526i) q^{55} +(17.6927 + 5.19503i) q^{56} +(-0.520814 - 0.0372494i) q^{57} +(0.697019 - 9.74560i) q^{58} +(14.4643 - 49.2610i) q^{59} +(2.93131 - 4.30655i) q^{60} +(-75.0546 - 48.2347i) q^{61} +(-38.4557 + 70.4264i) q^{62} +(-45.5549 + 34.1020i) q^{63} +(-7.27706 + 3.32332i) q^{64} +(1.11287 + 0.0294213i) q^{65} +(-7.60508 + 4.88749i) q^{66} +(-1.93264 - 27.0219i) q^{67} +(44.4317 + 44.4317i) q^{68} +(8.08520 + 8.84277i) q^{69} +(-37.6213 + 26.6411i) q^{70} +(6.14596 - 7.09282i) q^{71} +(5.24786 - 24.1240i) q^{72} +(46.7220 - 62.4132i) q^{73} +(80.1081 - 36.5841i) q^{74} +(3.90023 + 12.4261i) q^{75} +(-1.92338 + 0.564756i) q^{76} +(78.1684 - 17.0045i) q^{77} +(-0.153694 + 0.0573247i) q^{78} +(4.01425 - 13.6713i) q^{79} +(4.76630 - 19.4238i) q^{80} +(48.2934 + 55.7336i) q^{81} +(35.9569 - 19.6340i) q^{82} +(140.709 - 52.4819i) q^{83} +(3.67233 - 5.71426i) q^{84} +(-156.027 + 18.2391i) q^{85} +(10.4406 - 72.6158i) q^{86} +(-3.37221 - 1.25777i) q^{87} +(-20.7988 + 27.7839i) q^{88} +(69.6061 + 108.309i) q^{89} +(39.1715 + 47.6972i) q^{90} +1.45156 q^{91} +(40.9469 + 20.9607i) q^{92} +(20.9010 + 20.9010i) q^{93} +(-81.5159 - 70.6339i) q^{94} +(1.87481 - 4.64756i) q^{95} +(0.419394 + 2.91695i) q^{96} +(-50.8809 - 18.9776i) q^{97} +(7.35629 - 5.50685i) q^{98} +(-30.1750 - 102.767i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q + 24 q^{2} + 8 q^{3} - 4 q^{5} - 16 q^{6} + 50 q^{7} - 48 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 240 q + 24 q^{2} + 8 q^{3} - 4 q^{5} - 16 q^{6} + 50 q^{7} - 48 q^{8} + 16 q^{10} - 24 q^{11} - 28 q^{12} - 8 q^{13} + 8 q^{15} + 96 q^{16} + 44 q^{17} + 200 q^{18} - 24 q^{20} + 24 q^{21} + 24 q^{22} - 40 q^{23} + 240 q^{25} + 16 q^{26} - 76 q^{27} - 100 q^{28} - 216 q^{30} + 4 q^{31} - 96 q^{32} - 206 q^{33} + 136 q^{35} - 48 q^{36} + 556 q^{37} - 140 q^{38} + 16 q^{40} + 44 q^{41} - 24 q^{42} + 48 q^{43} + 12 q^{45} - 404 q^{46} - 24 q^{47} + 56 q^{48} - 138 q^{50} + 48 q^{51} - 16 q^{52} + 32 q^{53} + 64 q^{55} + 200 q^{56} - 920 q^{57} + 28 q^{58} + 152 q^{60} + 1800 q^{61} - 4 q^{62} - 406 q^{63} + 392 q^{65} + 104 q^{66} - 304 q^{67} - 88 q^{68} + 108 q^{70} - 1512 q^{71} + 48 q^{72} - 44 q^{73} - 252 q^{75} + 16 q^{76} - 492 q^{77} + 160 q^{78} + 16 q^{80} - 1344 q^{81} - 308 q^{82} - 516 q^{85} - 272 q^{86} + 814 q^{87} + 40 q^{88} + 670 q^{90} + 144 q^{91} + 8 q^{92} + 160 q^{93} - 670 q^{95} + 64 q^{96} - 242 q^{97} - 776 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{4}{11}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.100889 1.41061i −0.0504444 0.705305i
\(3\) −0.509045 0.110736i −0.169682 0.0369120i 0.126922 0.991913i \(-0.459490\pi\)
−0.296603 + 0.955001i \(0.595854\pi\)
\(4\) −1.97964 + 0.284630i −0.494911 + 0.0711574i
\(5\) 2.51138 4.32353i 0.502277 0.864707i
\(6\) −0.104848 + 0.729237i −0.0174747 + 0.121539i
\(7\) 3.12441 5.72192i 0.446344 0.817417i −0.553538 0.832824i \(-0.686723\pi\)
0.999881 + 0.0154068i \(0.00490433\pi\)
\(8\) 0.601225 + 2.76379i 0.0751532 + 0.345474i
\(9\) −7.93982 3.62600i −0.882203 0.402888i
\(10\) −6.35219 3.10639i −0.635219 0.310639i
\(11\) 8.03552 + 9.27349i 0.730502 + 0.843044i 0.992528 0.122017i \(-0.0389361\pi\)
−0.262026 + 0.965061i \(0.584391\pi\)
\(12\) 1.03925 + 0.0743284i 0.0866039 + 0.00619403i
\(13\) 0.106706 + 0.195417i 0.00820816 + 0.0150321i 0.881751 0.471715i \(-0.156365\pi\)
−0.873543 + 0.486747i \(0.838183\pi\)
\(14\) −8.38662 3.83004i −0.599044 0.273574i
\(15\) −1.75718 + 1.92277i −0.117145 + 0.128185i
\(16\) 3.83797 1.12693i 0.239873 0.0704331i
\(17\) −18.8281 25.1514i −1.10753 1.47949i −0.859776 0.510671i \(-0.829397\pi\)
−0.247759 0.968822i \(-0.579694\pi\)
\(18\) −4.31383 + 11.5658i −0.239657 + 0.642546i
\(19\) 0.992090 0.142641i 0.0522153 0.00750742i −0.116158 0.993231i \(-0.537058\pi\)
0.168373 + 0.985723i \(0.446149\pi\)
\(20\) −3.74104 + 9.27387i −0.187052 + 0.463693i
\(21\) −2.22409 + 2.56673i −0.105909 + 0.122225i
\(22\) 12.2706 12.2706i 0.557754 0.557754i
\(23\) −18.7736 13.2873i −0.816242 0.577711i
\(24\) 1.47347i 0.0613946i
\(25\) −12.3859 21.7161i −0.495436 0.868644i
\(26\) 0.264892 0.170236i 0.0101882 0.00654754i
\(27\) 7.39358 + 5.53477i 0.273836 + 0.204991i
\(28\) −4.55658 + 12.2167i −0.162735 + 0.436309i
\(29\) 6.83846 + 0.983222i 0.235809 + 0.0339042i 0.259206 0.965822i \(-0.416539\pi\)
−0.0233971 + 0.999726i \(0.507448\pi\)
\(30\) 2.88957 + 2.28471i 0.0963188 + 0.0761570i
\(31\) −47.7322 30.6756i −1.53975 0.989536i −0.987812 0.155650i \(-0.950253\pi\)
−0.551937 0.833886i \(-0.686111\pi\)
\(32\) −1.97687 5.30019i −0.0617771 0.165631i
\(33\) −3.06354 5.61045i −0.0928344 0.170014i
\(34\) −33.5793 + 29.0966i −0.987625 + 0.855782i
\(35\) −16.8923 27.8784i −0.482638 0.796526i
\(36\) 16.7501 + 4.91827i 0.465280 + 0.136619i
\(37\) 21.7620 + 58.3461i 0.588161 + 1.57692i 0.800247 + 0.599670i \(0.204702\pi\)
−0.212086 + 0.977251i \(0.568026\pi\)
\(38\) −0.301302 1.38506i −0.00792899 0.0364490i
\(39\) −0.0326784 0.111293i −0.000837909 0.00285366i
\(40\) 13.4592 + 4.34152i 0.336481 + 0.108538i
\(41\) 12.0341 + 26.3510i 0.293515 + 0.642708i 0.997735 0.0672743i \(-0.0214302\pi\)
−0.704220 + 0.709982i \(0.748703\pi\)
\(42\) 3.84505 + 2.87837i 0.0915487 + 0.0685325i
\(43\) 50.6896 + 11.0269i 1.17883 + 0.256439i 0.758954 0.651144i \(-0.225711\pi\)
0.419874 + 0.907582i \(0.362074\pi\)
\(44\) −18.5470 16.0710i −0.421522 0.365251i
\(45\) −35.6171 + 25.2218i −0.791490 + 0.560485i
\(46\) −16.8492 + 27.8227i −0.366288 + 0.604842i
\(47\) 53.9305 53.9305i 1.14746 1.14746i 0.160405 0.987051i \(-0.448720\pi\)
0.987051 0.160405i \(-0.0512802\pi\)
\(48\) −2.07849 + 0.148657i −0.0433019 + 0.00309702i
\(49\) 3.51293 + 5.46622i 0.0716924 + 0.111555i
\(50\) −29.3834 + 19.6626i −0.587667 + 0.393252i
\(51\) 6.79919 + 14.8881i 0.133317 + 0.291924i
\(52\) −0.266861 0.356485i −0.00513195 0.00685548i
\(53\) 65.3249 + 35.6701i 1.23255 + 0.673021i 0.957506 0.288412i \(-0.0931272\pi\)
0.275040 + 0.961433i \(0.411309\pi\)
\(54\) 7.06147 10.9879i 0.130768 0.203479i
\(55\) 60.2745 11.4526i 1.09590 0.208228i
\(56\) 17.6927 + 5.19503i 0.315940 + 0.0927684i
\(57\) −0.520814 0.0372494i −0.00913709 0.000653498i
\(58\) 0.697019 9.74560i 0.0120176 0.168028i
\(59\) 14.4643 49.2610i 0.245158 0.834933i −0.741335 0.671135i \(-0.765807\pi\)
0.986494 0.163798i \(-0.0523746\pi\)
\(60\) 2.93131 4.30655i 0.0488552 0.0717759i
\(61\) −75.0546 48.2347i −1.23040 0.790732i −0.246450 0.969156i \(-0.579264\pi\)
−0.983954 + 0.178423i \(0.942900\pi\)
\(62\) −38.4557 + 70.4264i −0.620253 + 1.13591i
\(63\) −45.5549 + 34.1020i −0.723093 + 0.541301i
\(64\) −7.27706 + 3.32332i −0.113704 + 0.0519269i
\(65\) 1.11287 + 0.0294213i 0.0171211 + 0.000452635i
\(66\) −7.60508 + 4.88749i −0.115228 + 0.0740528i
\(67\) −1.93264 27.0219i −0.0288454 0.403311i −0.991278 0.131790i \(-0.957928\pi\)
0.962432 0.271522i \(-0.0875269\pi\)
\(68\) 44.4317 + 44.4317i 0.653408 + 0.653408i
\(69\) 8.08520 + 8.84277i 0.117177 + 0.128156i
\(70\) −37.6213 + 26.6411i −0.537448 + 0.380588i
\(71\) 6.14596 7.09282i 0.0865629 0.0998989i −0.710816 0.703378i \(-0.751674\pi\)
0.797379 + 0.603479i \(0.206219\pi\)
\(72\) 5.24786 24.1240i 0.0728870 0.335056i
\(73\) 46.7220 62.4132i 0.640027 0.854976i −0.356833 0.934168i \(-0.616143\pi\)
0.996859 + 0.0791927i \(0.0252343\pi\)
\(74\) 80.1081 36.5841i 1.08254 0.494380i
\(75\) 3.90023 + 12.4261i 0.0520030 + 0.165681i
\(76\) −1.92338 + 0.564756i −0.0253077 + 0.00743100i
\(77\) 78.1684 17.0045i 1.01517 0.220838i
\(78\) −0.153694 + 0.0573247i −0.00197043 + 0.000734932i
\(79\) 4.01425 13.6713i 0.0508133 0.173054i −0.930177 0.367112i \(-0.880347\pi\)
0.980990 + 0.194057i \(0.0621648\pi\)
\(80\) 4.76630 19.4238i 0.0595788 0.242797i
\(81\) 48.2934 + 55.7336i 0.596215 + 0.688069i
\(82\) 35.9569 19.6340i 0.438499 0.239439i
\(83\) 140.709 52.4819i 1.69529 0.632312i 0.698749 0.715367i \(-0.253740\pi\)
0.996545 + 0.0830551i \(0.0264677\pi\)
\(84\) 3.67233 5.71426i 0.0437182 0.0680269i
\(85\) −156.027 + 18.2391i −1.83562 + 0.214578i
\(86\) 10.4406 72.6158i 0.121402 0.844370i
\(87\) −3.37221 1.25777i −0.0387610 0.0144571i
\(88\) −20.7988 + 27.7839i −0.236350 + 0.315727i
\(89\) 69.6061 + 108.309i 0.782091 + 1.21696i 0.971959 + 0.235148i \(0.0755576\pi\)
−0.189868 + 0.981810i \(0.560806\pi\)
\(90\) 39.1715 + 47.6972i 0.435239 + 0.529969i
\(91\) 1.45156 0.0159512
\(92\) 40.9469 + 20.9607i 0.445075 + 0.227834i
\(93\) 20.9010 + 20.9010i 0.224742 + 0.224742i
\(94\) −81.5159 70.6339i −0.867190 0.751424i
\(95\) 1.87481 4.64756i 0.0197348 0.0489217i
\(96\) 0.419394 + 2.91695i 0.00436868 + 0.0303849i
\(97\) −50.8809 18.9776i −0.524545 0.195645i 0.0732212 0.997316i \(-0.476672\pi\)
−0.597766 + 0.801671i \(0.703945\pi\)
\(98\) 7.35629 5.50685i 0.0750642 0.0561923i
\(99\) −30.1750 102.767i −0.304798 1.03805i
\(100\) 30.7007 + 39.4648i 0.307007 + 0.394648i
\(101\) −54.5889 + 119.533i −0.540484 + 1.18349i 0.420602 + 0.907245i \(0.361819\pi\)
−0.961086 + 0.276249i \(0.910908\pi\)
\(102\) 20.3154 11.0931i 0.199171 0.108755i
\(103\) −10.8233 + 151.329i −0.105080 + 1.46921i 0.622193 + 0.782864i \(0.286242\pi\)
−0.727273 + 0.686348i \(0.759213\pi\)
\(104\) −0.475938 + 0.412403i −0.00457633 + 0.00396541i
\(105\) 5.51182 + 16.0620i 0.0524935 + 0.152971i
\(106\) 43.7261 95.7467i 0.412510 0.903271i
\(107\) 97.0188 21.1052i 0.906718 0.197244i 0.265057 0.964233i \(-0.414609\pi\)
0.641661 + 0.766988i \(0.278246\pi\)
\(108\) −16.2120 8.85243i −0.150111 0.0819669i
\(109\) 30.7812 + 4.42567i 0.282396 + 0.0406025i 0.282058 0.959397i \(-0.408983\pi\)
0.000338805 1.00000i \(0.499892\pi\)
\(110\) −22.2361 83.8684i −0.202147 0.762440i
\(111\) −4.61681 32.1106i −0.0415929 0.289285i
\(112\) 5.54317 25.4816i 0.0494926 0.227514i
\(113\) 17.4570 1.24855i 0.154487 0.0110491i 0.00611859 0.999981i \(-0.498052\pi\)
0.148368 + 0.988932i \(0.452598\pi\)
\(114\) 0.738424i 0.00647740i
\(115\) −104.596 + 47.7985i −0.909530 + 0.415639i
\(116\) −13.8176 −0.119117
\(117\) −0.138644 1.93850i −0.00118499 0.0165683i
\(118\) −70.9474 15.4337i −0.601249 0.130794i
\(119\) −202.741 + 29.1497i −1.70370 + 0.244956i
\(120\) −6.37060 3.70045i −0.0530884 0.0308371i
\(121\) −4.20784 + 29.2662i −0.0347756 + 0.241869i
\(122\) −60.4682 + 110.739i −0.495641 + 0.907698i
\(123\) −3.20790 14.7465i −0.0260805 0.119890i
\(124\) 103.224 + 47.1408i 0.832451 + 0.380168i
\(125\) −124.996 0.986651i −0.999969 0.00789321i
\(126\) 52.7006 + 60.8197i 0.418258 + 0.482696i
\(127\) 88.9655 + 6.36294i 0.700516 + 0.0501019i 0.417054 0.908882i \(-0.363063\pi\)
0.283462 + 0.958984i \(0.408517\pi\)
\(128\) 5.42208 + 9.92980i 0.0423600 + 0.0775766i
\(129\) −24.5823 11.2263i −0.190560 0.0870259i
\(130\) −0.0707746 1.57280i −0.000544420 0.0120985i
\(131\) −16.0645 + 4.71697i −0.122630 + 0.0360074i −0.342472 0.939528i \(-0.611264\pi\)
0.219842 + 0.975536i \(0.429446\pi\)
\(132\) 7.66161 + 10.2347i 0.0580425 + 0.0775357i
\(133\) 2.28351 6.12233i 0.0171692 0.0460325i
\(134\) −37.9223 + 5.45241i −0.283003 + 0.0406896i
\(135\) 42.4979 18.0665i 0.314799 0.133826i
\(136\) 58.1932 67.1585i 0.427891 0.493813i
\(137\) −20.9427 + 20.9427i −0.152867 + 0.152867i −0.779397 0.626530i \(-0.784474\pi\)
0.626530 + 0.779397i \(0.284474\pi\)
\(138\) 11.6580 12.2972i 0.0844783 0.0891102i
\(139\) 4.63750i 0.0333633i 0.999861 + 0.0166816i \(0.00531018\pi\)
−0.999861 + 0.0166816i \(0.994690\pi\)
\(140\) 41.3758 + 50.3812i 0.295542 + 0.359866i
\(141\) −33.4251 + 21.4810i −0.237057 + 0.152348i
\(142\) −10.6253 7.95397i −0.0748258 0.0560139i
\(143\) −0.954763 + 2.55982i −0.00667666 + 0.0179008i
\(144\) −34.5591 4.96884i −0.239993 0.0345059i
\(145\) 21.4250 27.0971i 0.147759 0.186876i
\(146\) −92.7545 59.6097i −0.635304 0.408285i
\(147\) −1.18293 3.17156i −0.00804715 0.0215752i
\(148\) −59.6879 109.310i −0.403297 0.738583i
\(149\) 165.664 143.549i 1.11184 0.963413i 0.112296 0.993675i \(-0.464179\pi\)
0.999542 + 0.0302614i \(0.00963397\pi\)
\(150\) 17.1348 6.75535i 0.114232 0.0450357i
\(151\) −92.8972 27.2771i −0.615213 0.180643i −0.0407447 0.999170i \(-0.512973\pi\)
−0.574469 + 0.818527i \(0.694791\pi\)
\(152\) 0.990699 + 2.65617i 0.00651776 + 0.0174748i
\(153\) 58.2929 + 267.968i 0.380999 + 1.75143i
\(154\) −31.8730 108.550i −0.206968 0.704867i
\(155\) −252.501 + 129.334i −1.62904 + 0.834410i
\(156\) 0.0963688 + 0.211018i 0.000617749 + 0.00135268i
\(157\) −218.468 163.543i −1.39151 1.04167i −0.992173 0.124872i \(-0.960148\pi\)
−0.399341 0.916802i \(-0.630761\pi\)
\(158\) −19.6899 4.28327i −0.124619 0.0271093i
\(159\) −29.3034 25.3915i −0.184298 0.159695i
\(160\) −27.8802 4.76375i −0.174251 0.0297735i
\(161\) −134.685 + 65.9057i −0.836555 + 0.409352i
\(162\) 73.7461 73.7461i 0.455223 0.455223i
\(163\) 72.2682 5.16872i 0.443363 0.0317099i 0.152126 0.988361i \(-0.451388\pi\)
0.291236 + 0.956651i \(0.405933\pi\)
\(164\) −31.3235 48.7404i −0.190997 0.297197i
\(165\) −31.9507 0.844686i −0.193640 0.00511931i
\(166\) −88.2275 193.191i −0.531491 1.16380i
\(167\) −126.077 168.419i −0.754952 1.00850i −0.999247 0.0387969i \(-0.987647\pi\)
0.244295 0.969701i \(-0.421443\pi\)
\(168\) −8.43109 4.60372i −0.0501850 0.0274031i
\(169\) 91.3415 142.130i 0.540482 0.841007i
\(170\) 41.4697 + 218.254i 0.243939 + 1.28385i
\(171\) −8.39423 2.46477i −0.0490891 0.0144139i
\(172\) −103.486 7.40146i −0.601663 0.0430318i
\(173\) −11.5668 + 161.726i −0.0668603 + 0.934830i 0.847725 + 0.530436i \(0.177972\pi\)
−0.914585 + 0.404393i \(0.867483\pi\)
\(174\) −1.43400 + 4.88377i −0.00824140 + 0.0280676i
\(175\) −162.956 + 3.02119i −0.931180 + 0.0172640i
\(176\) 41.2907 + 26.5359i 0.234606 + 0.150772i
\(177\) −12.8180 + 23.4744i −0.0724180 + 0.132624i
\(178\) 145.760 109.114i 0.818875 0.613002i
\(179\) −39.4055 + 17.9959i −0.220142 + 0.100536i −0.522434 0.852680i \(-0.674976\pi\)
0.302291 + 0.953216i \(0.402249\pi\)
\(180\) 63.3302 60.0679i 0.351834 0.333710i
\(181\) −237.413 + 152.576i −1.31167 + 0.842960i −0.994431 0.105385i \(-0.966392\pi\)
−0.317240 + 0.948345i \(0.602756\pi\)
\(182\) −0.146446 2.04758i −0.000804647 0.0112504i
\(183\) 32.8649 + 32.8649i 0.179590 + 0.179590i
\(184\) 25.4363 59.8748i 0.138241 0.325407i
\(185\) 306.914 + 52.4408i 1.65899 + 0.283464i
\(186\) 27.3744 31.5918i 0.147174 0.169848i
\(187\) 81.9475 376.707i 0.438222 2.01447i
\(188\) −91.4128 + 122.113i −0.486239 + 0.649539i
\(189\) 54.7701 25.0126i 0.289789 0.132342i
\(190\) −6.74504 2.17573i −0.0355002 0.0114512i
\(191\) 237.058 69.6065i 1.24114 0.364432i 0.405697 0.914008i \(-0.367029\pi\)
0.835444 + 0.549576i \(0.185211\pi\)
\(192\) 4.07236 0.885888i 0.0212102 0.00461400i
\(193\) −70.1375 + 26.1599i −0.363407 + 0.135544i −0.524533 0.851390i \(-0.675760\pi\)
0.161126 + 0.986934i \(0.448487\pi\)
\(194\) −21.6367 + 73.6877i −0.111529 + 0.379833i
\(195\) −0.563245 0.138212i −0.00288844 0.000708780i
\(196\) −8.51019 9.82128i −0.0434193 0.0501086i
\(197\) 53.2023 29.0507i 0.270062 0.147465i −0.338512 0.940962i \(-0.609924\pi\)
0.608574 + 0.793497i \(0.291742\pi\)
\(198\) −141.919 + 52.9332i −0.716764 + 0.267339i
\(199\) 13.3004 20.6959i 0.0668363 0.103999i −0.806227 0.591607i \(-0.798494\pi\)
0.873063 + 0.487607i \(0.162130\pi\)
\(200\) 52.5720 47.2883i 0.262860 0.236441i
\(201\) −2.00849 + 13.9694i −0.00999250 + 0.0694993i
\(202\) 174.122 + 64.9441i 0.861989 + 0.321505i
\(203\) 26.9920 36.0571i 0.132966 0.177621i
\(204\) −17.6976 27.5380i −0.0867528 0.134990i
\(205\) 144.152 + 14.1477i 0.703180 + 0.0690130i
\(206\) 214.558 1.04154
\(207\) 100.879 + 173.572i 0.487337 + 0.838512i
\(208\) 0.629757 + 0.629757i 0.00302768 + 0.00302768i
\(209\) 9.29474 + 8.05394i 0.0444724 + 0.0385356i
\(210\) 22.1011 9.39551i 0.105243 0.0447405i
\(211\) 17.6993 + 123.101i 0.0838829 + 0.583418i 0.987802 + 0.155715i \(0.0497681\pi\)
−0.903919 + 0.427703i \(0.859323\pi\)
\(212\) −139.473 52.0207i −0.657891 0.245381i
\(213\) −3.91401 + 2.92999i −0.0183756 + 0.0137558i
\(214\) −39.5593 134.726i −0.184856 0.629563i
\(215\) 174.976 191.466i 0.813843 0.890538i
\(216\) −10.8517 + 23.7619i −0.0502394 + 0.110009i
\(217\) −324.658 + 177.277i −1.49612 + 0.816944i
\(218\) 3.13742 43.8668i 0.0143918 0.201224i
\(219\) −30.6950 + 26.5974i −0.140160 + 0.121449i
\(220\) −116.062 + 39.8279i −0.527556 + 0.181036i
\(221\) 2.90595 6.36314i 0.0131491 0.0287925i
\(222\) −44.8298 + 9.75213i −0.201936 + 0.0439285i
\(223\) 37.0943 + 20.2550i 0.166342 + 0.0908297i 0.560263 0.828315i \(-0.310700\pi\)
−0.393921 + 0.919144i \(0.628882\pi\)
\(224\) −36.5038 5.24845i −0.162963 0.0234306i
\(225\) 19.5993 + 217.333i 0.0871080 + 0.965926i
\(226\) −3.52244 24.4991i −0.0155860 0.108403i
\(227\) −49.9576 + 229.651i −0.220078 + 1.01168i 0.725989 + 0.687707i \(0.241382\pi\)
−0.946066 + 0.323973i \(0.894981\pi\)
\(228\) 1.04163 0.0744987i 0.00456855 0.000326749i
\(229\) 119.996i 0.523998i −0.965068 0.261999i \(-0.915618\pi\)
0.965068 0.261999i \(-0.0843818\pi\)
\(230\) 77.9776 + 142.722i 0.339033 + 0.620529i
\(231\) −41.6743 −0.180408
\(232\) 1.39404 + 19.4912i 0.00600878 + 0.0840138i
\(233\) 23.3826 + 5.08658i 0.100355 + 0.0218308i 0.262462 0.964942i \(-0.415466\pi\)
−0.162108 + 0.986773i \(0.551829\pi\)
\(234\) −2.72047 + 0.391145i −0.0116260 + 0.00167156i
\(235\) −97.7301 368.610i −0.415873 1.56855i
\(236\) −14.6131 + 101.636i −0.0619199 + 0.430662i
\(237\) −3.55734 + 6.51479i −0.0150099 + 0.0274885i
\(238\) 61.5732 + 283.047i 0.258711 + 1.18927i
\(239\) 129.539 + 59.1585i 0.542005 + 0.247525i 0.667553 0.744562i \(-0.267342\pi\)
−0.125548 + 0.992087i \(0.540069\pi\)
\(240\) −4.57717 + 9.35977i −0.0190716 + 0.0389991i
\(241\) −145.974 168.464i −0.605703 0.699019i 0.367223 0.930133i \(-0.380308\pi\)
−0.972927 + 0.231114i \(0.925763\pi\)
\(242\) 41.7077 + 2.98299i 0.172346 + 0.0123264i
\(243\) −58.2478 106.673i −0.239703 0.438983i
\(244\) 162.310 + 74.1247i 0.665206 + 0.303790i
\(245\) 32.4557 1.46048i 0.132472 0.00596113i
\(246\) −20.4779 + 6.01285i −0.0832435 + 0.0244425i
\(247\) 0.133736 + 0.178651i 0.000541443 + 0.000723284i
\(248\) 56.0831 150.365i 0.226142 0.606309i
\(249\) −77.4391 + 11.1341i −0.311000 + 0.0447151i
\(250\) 11.2189 + 176.420i 0.0448757 + 0.705681i
\(251\) 76.3971 88.1669i 0.304371 0.351263i −0.582873 0.812563i \(-0.698072\pi\)
0.887244 + 0.461301i \(0.152617\pi\)
\(252\) 80.4760 80.4760i 0.319349 0.319349i
\(253\) −27.6353 280.867i −0.109230 1.11015i
\(254\) 126.138i 0.496605i
\(255\) 81.4448 + 7.99333i 0.319391 + 0.0313464i
\(256\) 13.4601 8.65025i 0.0525783 0.0337901i
\(257\) 113.419 + 84.9041i 0.441318 + 0.330366i 0.796722 0.604347i \(-0.206566\pi\)
−0.355404 + 0.934713i \(0.615657\pi\)
\(258\) −13.3559 + 35.8086i −0.0517671 + 0.138793i
\(259\) 401.845 + 57.7766i 1.55152 + 0.223076i
\(260\) −2.21147 + 0.258513i −0.00850564 + 0.000994282i
\(261\) −50.7310 32.6028i −0.194372 0.124915i
\(262\) 8.27454 + 22.1849i 0.0315822 + 0.0846752i
\(263\) −72.2482 132.313i −0.274708 0.503090i 0.703506 0.710689i \(-0.251617\pi\)
−0.978214 + 0.207599i \(0.933435\pi\)
\(264\) 13.6642 11.8401i 0.0517584 0.0448489i
\(265\) 318.277 192.853i 1.20105 0.727748i
\(266\) −8.86660 2.60347i −0.0333331 0.00978748i
\(267\) −23.4389 62.8422i −0.0877863 0.235364i
\(268\) 11.5172 + 52.9436i 0.0429745 + 0.197551i
\(269\) 95.7262 + 326.014i 0.355860 + 1.21195i 0.921854 + 0.387537i \(0.126674\pi\)
−0.565994 + 0.824409i \(0.691508\pi\)
\(270\) −29.7723 58.1253i −0.110268 0.215279i
\(271\) −70.9912 155.449i −0.261960 0.573613i 0.732254 0.681032i \(-0.238469\pi\)
−0.994214 + 0.107419i \(0.965741\pi\)
\(272\) −100.606 75.3124i −0.369873 0.276884i
\(273\) −0.738908 0.160740i −0.00270662 0.000588790i
\(274\) 31.6549 + 27.4291i 0.115529 + 0.100106i
\(275\) 101.857 289.361i 0.370389 1.05222i
\(276\) −18.5227 15.2042i −0.0671113 0.0550878i
\(277\) −243.450 + 243.450i −0.878880 + 0.878880i −0.993419 0.114539i \(-0.963461\pi\)
0.114539 + 0.993419i \(0.463461\pi\)
\(278\) 6.54170 0.467872i 0.0235313 0.00168299i
\(279\) 267.756 + 416.636i 0.959698 + 1.49332i
\(280\) 66.8940 63.4481i 0.238907 0.226600i
\(281\) 152.814 + 334.615i 0.543820 + 1.19080i 0.959608 + 0.281339i \(0.0907785\pi\)
−0.415788 + 0.909462i \(0.636494\pi\)
\(282\) 33.6735 + 44.9826i 0.119410 + 0.159513i
\(283\) −89.4267 48.8307i −0.315995 0.172547i 0.313422 0.949614i \(-0.398525\pi\)
−0.629417 + 0.777067i \(0.716706\pi\)
\(284\) −10.1480 + 15.7906i −0.0357324 + 0.0556006i
\(285\) −1.46901 + 2.15821i −0.00515443 + 0.00757267i
\(286\) 3.70723 + 1.08854i 0.0129623 + 0.00380609i
\(287\) 188.378 + 13.4731i 0.656369 + 0.0469444i
\(288\) −3.52248 + 49.2507i −0.0122308 + 0.171009i
\(289\) −196.674 + 669.812i −0.680534 + 2.31769i
\(290\) −40.3850 27.4885i −0.139258 0.0947880i
\(291\) 23.7992 + 15.2948i 0.0817841 + 0.0525594i
\(292\) −74.7281 + 136.854i −0.255918 + 0.468679i
\(293\) 39.5458 29.6036i 0.134969 0.101036i −0.529660 0.848210i \(-0.677681\pi\)
0.664629 + 0.747174i \(0.268590\pi\)
\(294\) −4.35449 + 1.98863i −0.0148112 + 0.00676405i
\(295\) −176.656 186.250i −0.598835 0.631358i
\(296\) −148.172 + 95.2246i −0.500582 + 0.321705i
\(297\) 8.08471 + 113.039i 0.0272213 + 0.380603i
\(298\) −219.205 219.205i −0.735586 0.735586i
\(299\) 0.593329 5.08652i 0.00198438 0.0170118i
\(300\) −11.2579 23.4890i −0.0375263 0.0782967i
\(301\) 221.470 255.590i 0.735780 0.849135i
\(302\) −29.1050 + 133.794i −0.0963743 + 0.443026i
\(303\) 41.0248 54.8027i 0.135395 0.180867i
\(304\) 3.64687 1.66547i 0.0119963 0.00547851i
\(305\) −397.035 + 203.365i −1.30175 + 0.666772i
\(306\) 372.117 109.264i 1.21607 0.357070i
\(307\) 66.2428 14.4102i 0.215775 0.0469389i −0.103378 0.994642i \(-0.532965\pi\)
0.319153 + 0.947703i \(0.396602\pi\)
\(308\) −149.906 + 55.9119i −0.486706 + 0.181532i
\(309\) 22.2671 75.8347i 0.0720618 0.245420i
\(310\) 207.914 + 343.132i 0.670690 + 1.10688i
\(311\) 231.152 + 266.764i 0.743256 + 0.857763i 0.993896 0.110318i \(-0.0351868\pi\)
−0.250641 + 0.968080i \(0.580641\pi\)
\(312\) 0.287942 0.157228i 0.000922891 0.000503937i
\(313\) 152.830 57.0028i 0.488276 0.182118i −0.0932542 0.995642i \(-0.529727\pi\)
0.581530 + 0.813525i \(0.302454\pi\)
\(314\) −208.654 + 324.672i −0.664504 + 1.03399i
\(315\) 33.0352 + 282.601i 0.104874 + 0.897147i
\(316\) −4.05553 + 28.2069i −0.0128340 + 0.0892622i
\(317\) 415.911 + 155.127i 1.31202 + 0.489359i 0.905525 0.424292i \(-0.139477\pi\)
0.406498 + 0.913652i \(0.366750\pi\)
\(318\) −32.8612 + 43.8974i −0.103337 + 0.138042i
\(319\) 45.8327 + 71.3171i 0.143676 + 0.223564i
\(320\) −3.90700 + 39.8087i −0.0122094 + 0.124402i
\(321\) −51.7241 −0.161134
\(322\) 106.556 + 183.339i 0.330918 + 0.569377i
\(323\) −22.2668 22.2668i −0.0689374 0.0689374i
\(324\) −111.467 96.5869i −0.344035 0.298108i
\(325\) 2.92206 4.73766i 0.00899095 0.0145774i
\(326\) −14.5821 101.421i −0.0447304 0.311107i
\(327\) −15.1790 5.66146i −0.0464188 0.0173133i
\(328\) −65.5934 + 49.1026i −0.199980 + 0.149703i
\(329\) −140.085 477.087i −0.425791 1.45011i
\(330\) 2.03194 + 45.1552i 0.00615740 + 0.136834i
\(331\) −216.850 + 474.835i −0.655136 + 1.43455i 0.231851 + 0.972751i \(0.425522\pi\)
−0.886986 + 0.461796i \(0.847205\pi\)
\(332\) −263.616 + 143.945i −0.794025 + 0.433571i
\(333\) 38.7765 542.166i 0.116446 1.62813i
\(334\) −224.854 + 194.837i −0.673216 + 0.583345i
\(335\) −121.684 59.5064i −0.363235 0.177631i
\(336\) −5.64345 + 12.3574i −0.0167960 + 0.0367781i
\(337\) −191.438 + 41.6447i −0.568064 + 0.123575i −0.487419 0.873168i \(-0.662062\pi\)
−0.0806451 + 0.996743i \(0.525698\pi\)
\(338\) −209.706 114.508i −0.620431 0.338781i
\(339\) −9.02468 1.29755i −0.0266215 0.00382759i
\(340\) 303.687 80.5170i 0.893198 0.236815i
\(341\) −99.0832 689.139i −0.290567 2.02093i
\(342\) −2.62994 + 12.0897i −0.00768990 + 0.0353499i
\(343\) 360.889 25.8113i 1.05215 0.0752515i
\(344\) 146.725i 0.426526i
\(345\) 58.5371 12.7490i 0.169673 0.0369538i
\(346\) 229.299 0.662713
\(347\) −15.2177 212.772i −0.0438551 0.613175i −0.971093 0.238702i \(-0.923278\pi\)
0.927238 0.374473i \(-0.122176\pi\)
\(348\) 7.03377 + 1.53010i 0.0202120 + 0.00439685i
\(349\) 41.3163 5.94039i 0.118385 0.0170212i −0.0828677 0.996561i \(-0.526408\pi\)
0.201253 + 0.979539i \(0.435499\pi\)
\(350\) 20.7022 + 229.563i 0.0591492 + 0.655895i
\(351\) −0.292650 + 2.03543i −0.000833762 + 0.00579894i
\(352\) 33.2661 60.9222i 0.0945058 0.173075i
\(353\) −37.9605 174.502i −0.107537 0.494339i −0.999138 0.0415168i \(-0.986781\pi\)
0.891601 0.452822i \(-0.149583\pi\)
\(354\) 34.4064 + 15.7129i 0.0971932 + 0.0443866i
\(355\) −15.2312 44.3851i −0.0429047 0.125028i
\(356\) −168.623 194.602i −0.473661 0.546634i
\(357\) 106.432 + 7.61218i 0.298129 + 0.0213226i
\(358\) 29.3608 + 53.7702i 0.0820133 + 0.150196i
\(359\) −233.056 106.433i −0.649181 0.296471i 0.0634765 0.997983i \(-0.479781\pi\)
−0.712657 + 0.701512i \(0.752508\pi\)
\(360\) −91.1217 83.2740i −0.253116 0.231317i
\(361\) −345.413 + 101.422i −0.956823 + 0.280949i
\(362\) 239.177 + 319.503i 0.660711 + 0.882606i
\(363\) 5.38281 14.4319i 0.0148287 0.0397572i
\(364\) −2.87356 + 0.413156i −0.00789440 + 0.00113504i
\(365\) −152.509 358.748i −0.417833 0.982870i
\(366\) 43.0438 49.6752i 0.117606 0.135725i
\(367\) 505.341 505.341i 1.37695 1.37695i 0.527226 0.849725i \(-0.323232\pi\)
0.849725 0.527226i \(-0.176768\pi\)
\(368\) −87.0263 29.8400i −0.236484 0.0810869i
\(369\) 252.858i 0.685252i
\(370\) 43.0094 438.227i 0.116242 1.18440i
\(371\) 408.203 262.336i 1.10028 0.707106i
\(372\) −47.3255 35.4274i −0.127219 0.0952350i
\(373\) −41.1544 + 110.339i −0.110334 + 0.295816i −0.980368 0.197175i \(-0.936823\pi\)
0.870035 + 0.492990i \(0.164096\pi\)
\(374\) −539.654 77.5905i −1.44292 0.207461i
\(375\) 63.5194 + 14.3438i 0.169385 + 0.0382502i
\(376\) 181.477 + 116.628i 0.482651 + 0.310181i
\(377\) 0.537566 + 1.44127i 0.00142590 + 0.00382300i
\(378\) −40.8088 74.7357i −0.107960 0.197714i
\(379\) −417.616 + 361.867i −1.10189 + 0.954793i −0.999203 0.0399206i \(-0.987290\pi\)
−0.102687 + 0.994714i \(0.532744\pi\)
\(380\) −2.38861 + 9.73414i −0.00628582 + 0.0256161i
\(381\) −44.5829 13.0907i −0.117015 0.0343588i
\(382\) −122.104 327.374i −0.319644 0.856999i
\(383\) −101.073 464.627i −0.263899 1.21313i −0.898042 0.439909i \(-0.855011\pi\)
0.634143 0.773216i \(-0.281353\pi\)
\(384\) −1.66050 5.65514i −0.00432422 0.0147269i
\(385\) 122.791 380.668i 0.318939 0.988749i
\(386\) 43.9776 + 96.2974i 0.113932 + 0.249475i
\(387\) −362.483 271.352i −0.936650 0.701167i
\(388\) 106.128 + 23.0866i 0.273525 + 0.0595016i
\(389\) −7.34418 6.36377i −0.0188797 0.0163593i 0.645370 0.763870i \(-0.276703\pi\)
−0.664249 + 0.747511i \(0.731249\pi\)
\(390\) −0.138138 + 0.808464i −0.000354200 + 0.00207298i
\(391\) 19.2750 + 722.356i 0.0492966 + 1.84746i
\(392\) −12.9954 + 12.9954i −0.0331516 + 0.0331516i
\(393\) 8.69991 0.622230i 0.0221372 0.00158328i
\(394\) −46.3467 72.1168i −0.117631 0.183038i
\(395\) −49.0270 51.6896i −0.124119 0.130860i
\(396\) 88.9861 + 194.852i 0.224712 + 0.492052i
\(397\) −59.4871 79.4654i −0.149841 0.200165i 0.719340 0.694658i \(-0.244444\pi\)
−0.869181 + 0.494494i \(0.835354\pi\)
\(398\) −30.5357 16.6737i −0.0767227 0.0418938i
\(399\) −1.84037 + 2.86368i −0.00461246 + 0.00717713i
\(400\) −72.0093 69.3878i −0.180023 0.173469i
\(401\) 244.754 + 71.8663i 0.610359 + 0.179218i 0.572282 0.820057i \(-0.306058\pi\)
0.0380776 + 0.999275i \(0.487877\pi\)
\(402\) 19.9080 + 1.42385i 0.0495223 + 0.00354191i
\(403\) 0.901240 12.6010i 0.00223633 0.0312680i
\(404\) 74.0438 252.170i 0.183277 0.624184i
\(405\) 362.250 68.8299i 0.894443 0.169950i
\(406\) −53.5858 34.4375i −0.131985 0.0848214i
\(407\) −366.203 + 670.651i −0.899761 + 1.64779i
\(408\) −37.0598 + 27.7426i −0.0908329 + 0.0679967i
\(409\) 14.7585 6.74000i 0.0360844 0.0164792i −0.397291 0.917693i \(-0.630050\pi\)
0.433376 + 0.901213i \(0.357322\pi\)
\(410\) 5.41353 204.769i 0.0132037 0.499438i
\(411\) 12.9799 8.34168i 0.0315813 0.0202961i
\(412\) −21.6465 302.658i −0.0525401 0.734606i
\(413\) −236.675 236.675i −0.573064 0.573064i
\(414\) 234.665 159.812i 0.566824 0.386020i
\(415\) 126.468 740.164i 0.304742 1.78353i
\(416\) 0.824806 0.951877i 0.00198271 0.00228816i
\(417\) 0.513538 2.36070i 0.00123151 0.00566114i
\(418\) 10.4232 13.9238i 0.0249360 0.0333105i
\(419\) −661.162 + 301.942i −1.57795 + 0.720626i −0.995722 0.0923979i \(-0.970547\pi\)
−0.582230 + 0.813024i \(0.697820\pi\)
\(420\) −15.4832 30.2281i −0.0368646 0.0719718i
\(421\) −53.8277 + 15.8052i −0.127857 + 0.0375421i −0.345035 0.938590i \(-0.612133\pi\)
0.217178 + 0.976132i \(0.430315\pi\)
\(422\) 171.862 37.3864i 0.407257 0.0885932i
\(423\) −623.750 + 232.647i −1.47459 + 0.549992i
\(424\) −59.3096 + 201.990i −0.139881 + 0.476392i
\(425\) −312.987 + 720.395i −0.736441 + 1.69505i
\(426\) 4.52795 + 5.22553i 0.0106290 + 0.0122665i
\(427\) −510.496 + 278.752i −1.19554 + 0.652815i
\(428\) −186.055 + 69.3951i −0.434709 + 0.162138i
\(429\) 0.769482 1.19734i 0.00179366 0.00279100i
\(430\) −287.737 227.506i −0.669155 0.529085i
\(431\) 59.4648 413.587i 0.137969 0.959599i −0.796775 0.604277i \(-0.793462\pi\)
0.934744 0.355322i \(-0.115629\pi\)
\(432\) 34.6137 + 12.9102i 0.0801242 + 0.0298848i
\(433\) −290.284 + 387.774i −0.670403 + 0.895553i −0.998799 0.0489868i \(-0.984401\pi\)
0.328397 + 0.944540i \(0.393492\pi\)
\(434\) 282.823 + 440.081i 0.651666 + 1.01401i
\(435\) −13.9069 + 11.4211i −0.0319699 + 0.0262554i
\(436\) −62.1955 −0.142650
\(437\) −20.5204 10.5044i −0.0469574 0.0240374i
\(438\) 40.6153 + 40.6153i 0.0927290 + 0.0927290i
\(439\) 257.074 + 222.756i 0.585590 + 0.507417i 0.896513 0.443018i \(-0.146092\pi\)
−0.310922 + 0.950435i \(0.600638\pi\)
\(440\) 67.8910 + 159.700i 0.154298 + 0.362956i
\(441\) −8.07152 56.1387i −0.0183028 0.127299i
\(442\) −9.26909 3.45719i −0.0209708 0.00782170i
\(443\) 73.7081 55.1772i 0.166384 0.124553i −0.512841 0.858484i \(-0.671407\pi\)
0.679225 + 0.733930i \(0.262316\pi\)
\(444\) 18.2793 + 62.2535i 0.0411696 + 0.140211i
\(445\) 643.087 28.9383i 1.44514 0.0650300i
\(446\) 24.8295 54.3691i 0.0556716 0.121904i
\(447\) −100.226 + 54.7278i −0.224220 + 0.122434i
\(448\) −3.72070 + 52.0221i −0.00830513 + 0.116121i
\(449\) 304.648 263.979i 0.678504 0.587927i −0.245922 0.969290i \(-0.579091\pi\)
0.924425 + 0.381363i \(0.124545\pi\)
\(450\) 304.595 49.5735i 0.676878 0.110163i
\(451\) −147.666 + 323.342i −0.327418 + 0.716945i
\(452\) −34.2033 + 7.44048i −0.0756711 + 0.0164612i
\(453\) 44.2683 + 24.1723i 0.0977226 + 0.0533606i
\(454\) 328.989 + 47.3014i 0.724645 + 0.104188i
\(455\) 3.64542 6.27585i 0.00801190 0.0137931i
\(456\) −0.210177 1.46182i −0.000460915 0.00320574i
\(457\) −32.2872 + 148.422i −0.0706503 + 0.324774i −0.998884 0.0472224i \(-0.984963\pi\)
0.928234 + 0.371997i \(0.121327\pi\)
\(458\) −169.267 + 12.1062i −0.369579 + 0.0264328i
\(459\) 290.168i 0.632174i
\(460\) 193.458 124.395i 0.420560 0.270424i
\(461\) 734.583 1.59346 0.796728 0.604338i \(-0.206562\pi\)
0.796728 + 0.604338i \(0.206562\pi\)
\(462\) 4.20447 + 58.7861i 0.00910058 + 0.127243i
\(463\) −522.578 113.680i −1.12868 0.245529i −0.390808 0.920472i \(-0.627804\pi\)
−0.737870 + 0.674943i \(0.764168\pi\)
\(464\) 27.3538 3.93289i 0.0589522 0.00847605i
\(465\) 142.856 37.8757i 0.307218 0.0814531i
\(466\) 4.81614 33.4970i 0.0103351 0.0718819i
\(467\) 142.037 260.121i 0.304148 0.557005i −0.680246 0.732984i \(-0.738127\pi\)
0.984394 + 0.175979i \(0.0563089\pi\)
\(468\) 0.826219 + 3.79807i 0.00176543 + 0.00811553i
\(469\) −160.655 73.3688i −0.342549 0.156437i
\(470\) −510.106 + 175.048i −1.08533 + 0.372442i
\(471\) 93.0999 + 107.443i 0.197664 + 0.228117i
\(472\) 144.843 + 10.3594i 0.306872 + 0.0219479i
\(473\) 305.060 + 558.676i 0.644948 + 1.18113i
\(474\) 9.54872 + 4.36075i 0.0201450 + 0.00919990i
\(475\) −15.3855 19.7776i −0.0323906 0.0416370i
\(476\) 393.058 115.412i 0.825751 0.242462i
\(477\) −389.329 520.082i −0.816203 1.09032i
\(478\) 70.3806 188.698i 0.147240 0.394765i
\(479\) −96.9005 + 13.9322i −0.202297 + 0.0290860i −0.242719 0.970097i \(-0.578039\pi\)
0.0404211 + 0.999183i \(0.487130\pi\)
\(480\) 13.6648 + 5.51231i 0.0284683 + 0.0114840i
\(481\) −9.07971 + 10.4785i −0.0188767 + 0.0217849i
\(482\) −222.909 + 222.909i −0.462467 + 0.462467i
\(483\) 75.8591 18.6345i 0.157058 0.0385807i
\(484\) 59.1343i 0.122178i
\(485\) −209.832 + 172.325i −0.432642 + 0.355310i
\(486\) −144.597 + 92.9270i −0.297525 + 0.191208i
\(487\) −508.595 380.730i −1.04434 0.781786i −0.0679292 0.997690i \(-0.521639\pi\)
−0.976415 + 0.215904i \(0.930730\pi\)
\(488\) 88.1857 236.435i 0.180708 0.484498i
\(489\) −37.3601 5.37158i −0.0764011 0.0109848i
\(490\) −5.33458 45.6350i −0.0108869 0.0931326i
\(491\) 362.454 + 232.935i 0.738196 + 0.474410i 0.854923 0.518754i \(-0.173604\pi\)
−0.116728 + 0.993164i \(0.537240\pi\)
\(492\) 10.5478 + 28.2797i 0.0214386 + 0.0574790i
\(493\) −104.026 190.509i −0.211006 0.386428i
\(494\) 0.238514 0.206674i 0.000482823 0.000418368i
\(495\) −520.096 127.624i −1.05070 0.257826i
\(496\) −217.764 63.9413i −0.439041 0.128914i
\(497\) −21.3821 57.3276i −0.0430223 0.115347i
\(498\) 23.5186 + 108.113i 0.0472260 + 0.217095i
\(499\) 175.205 + 596.694i 0.351113 + 1.19578i 0.925992 + 0.377542i \(0.123231\pi\)
−0.574880 + 0.818238i \(0.694951\pi\)
\(500\) 247.728 33.6244i 0.495457 0.0672488i
\(501\) 45.5288 + 99.6942i 0.0908759 + 0.198991i
\(502\) −132.077 98.8714i −0.263101 0.196955i
\(503\) −592.118 128.807i −1.17717 0.256078i −0.418910 0.908028i \(-0.637588\pi\)
−0.758263 + 0.651949i \(0.773951\pi\)
\(504\) −121.639 105.401i −0.241348 0.209129i
\(505\) 379.711 + 536.210i 0.751903 + 1.06180i
\(506\) −393.406 + 67.3189i −0.777482 + 0.133041i
\(507\) −62.2359 + 62.2359i −0.122753 + 0.122753i
\(508\) −177.931 + 12.7259i −0.350258 + 0.0250509i
\(509\) −251.548 391.417i −0.494201 0.768992i 0.501144 0.865364i \(-0.332913\pi\)
−0.995345 + 0.0963719i \(0.969276\pi\)
\(510\) 3.05861 115.693i 0.00599727 0.226850i
\(511\) −211.145 462.344i −0.413200 0.904782i
\(512\) −13.5601 18.1142i −0.0264846 0.0353793i
\(513\) 8.12458 + 4.43636i 0.0158374 + 0.00864787i
\(514\) 108.324 168.555i 0.210747 0.327929i
\(515\) 627.094 + 426.840i 1.21766 + 0.828815i
\(516\) 51.8594 + 15.2273i 0.100503 + 0.0295103i
\(517\) 933.483 + 66.7640i 1.80558 + 0.129137i
\(518\) 40.9586 572.676i 0.0790706 1.10555i
\(519\) 23.7969 81.0448i 0.0458514 0.156156i
\(520\) 0.587774 + 3.09344i 0.00113033 + 0.00594892i
\(521\) −231.276 148.632i −0.443908 0.285283i 0.299530 0.954087i \(-0.403170\pi\)
−0.743439 + 0.668804i \(0.766806\pi\)
\(522\) −40.8717 + 74.8509i −0.0782983 + 0.143393i
\(523\) 152.203 113.938i 0.291020 0.217855i −0.443785 0.896133i \(-0.646365\pi\)
0.734805 + 0.678279i \(0.237274\pi\)
\(524\) 30.4594 13.9104i 0.0581287 0.0265465i
\(525\) 83.2868 + 16.5072i 0.158641 + 0.0314423i
\(526\) −179.353 + 115.263i −0.340974 + 0.219131i
\(527\) 127.172 + 1778.09i 0.241313 + 3.37399i
\(528\) −18.0803 18.0803i −0.0342431 0.0342431i
\(529\) 175.893 + 498.902i 0.332500 + 0.943103i
\(530\) −304.151 429.508i −0.573870 0.810393i
\(531\) −293.465 + 338.676i −0.552664 + 0.637808i
\(532\) −2.77794 + 12.7700i −0.00522169 + 0.0240037i
\(533\) −3.86534 + 5.16349i −0.00725204 + 0.00968760i
\(534\) −86.2812 + 39.4033i −0.161575 + 0.0737889i
\(535\) 152.403 472.467i 0.284865 0.883117i
\(536\) 73.5208 21.5876i 0.137166 0.0402755i
\(537\) 22.0520 4.79711i 0.0410651 0.00893317i
\(538\) 450.220 167.924i 0.836841 0.312126i
\(539\) −22.4627 + 76.5010i −0.0416748 + 0.141931i
\(540\) −78.9884 + 47.8614i −0.146275 + 0.0886321i
\(541\) −133.634 154.222i −0.247013 0.285068i 0.618680 0.785643i \(-0.287668\pi\)
−0.865693 + 0.500574i \(0.833122\pi\)
\(542\) −212.116 + 115.824i −0.391358 + 0.213697i
\(543\) 137.749 51.3779i 0.253682 0.0946185i
\(544\) −96.0864 + 149.513i −0.176629 + 0.274841i
\(545\) 96.4380 121.969i 0.176950 0.223796i
\(546\) −0.152193 + 1.05853i −0.000278742 + 0.00193870i
\(547\) 952.337 + 355.204i 1.74102 + 0.649367i 0.999761 0.0218538i \(-0.00695682\pi\)
0.741258 + 0.671220i \(0.234230\pi\)
\(548\) 35.4982 47.4200i 0.0647777 0.0865329i
\(549\) 421.022 + 655.122i 0.766888 + 1.19330i
\(550\) −418.451 114.487i −0.760821 0.208158i
\(551\) 6.92461 0.0125674
\(552\) −19.5785 + 27.6623i −0.0354683 + 0.0501128i
\(553\) −65.6839 65.6839i −0.118777 0.118777i
\(554\) 367.974 + 318.851i 0.664213 + 0.575544i
\(555\) −150.426 60.6812i −0.271038 0.109336i
\(556\) −1.31997 9.18059i −0.00237405 0.0165119i
\(557\) −446.899 166.685i −0.802331 0.299254i −0.0853541 0.996351i \(-0.527202\pi\)
−0.716977 + 0.697097i \(0.754475\pi\)
\(558\) 560.697 419.733i 1.00483 0.752209i
\(559\) 3.25405 + 11.0823i 0.00582120 + 0.0198252i
\(560\) −96.2494 87.9601i −0.171874 0.157072i
\(561\) −83.4300 + 182.686i −0.148717 + 0.325644i
\(562\) 456.594 249.319i 0.812445 0.443629i
\(563\) 19.2653 269.364i 0.0342190 0.478444i −0.951231 0.308479i \(-0.900180\pi\)
0.985450 0.169965i \(-0.0543654\pi\)
\(564\) 60.0556 52.0385i 0.106482 0.0922668i
\(565\) 38.4432 78.6117i 0.0680410 0.139136i
\(566\) −59.8589 + 131.073i −0.105758 + 0.231577i
\(567\) 469.792 102.197i 0.828557 0.180241i
\(568\) 23.2982 + 12.7218i 0.0410179 + 0.0223975i
\(569\) −858.779 123.474i −1.50928 0.217001i −0.662546 0.749022i \(-0.730524\pi\)
−0.846732 + 0.532020i \(0.821433\pi\)
\(570\) 3.19260 + 1.85447i 0.00560105 + 0.00325345i
\(571\) 56.7278 + 394.550i 0.0993481 + 0.690981i 0.977242 + 0.212126i \(0.0680389\pi\)
−0.877894 + 0.478855i \(0.841052\pi\)
\(572\) 1.16149 5.33928i 0.00203058 0.00933441i
\(573\) −128.381 + 9.18200i −0.224051 + 0.0160244i
\(574\) 267.087i 0.465309i
\(575\) −56.0222 + 572.264i −0.0974300 + 0.995242i
\(576\) 69.8289 0.121231
\(577\) −42.3560 592.214i −0.0734072 1.02637i −0.892013 0.452011i \(-0.850707\pi\)
0.818605 0.574356i \(-0.194748\pi\)
\(578\) 964.685 + 209.854i 1.66901 + 0.363070i
\(579\) 38.6000 5.54984i 0.0666667 0.00958522i
\(580\) −34.7012 + 59.7407i −0.0598297 + 0.103001i
\(581\) 139.336 969.103i 0.239821 1.66799i
\(582\) 19.1739 35.1144i 0.0329449 0.0603340i
\(583\) 194.134 + 892.418i 0.332991 + 1.53073i
\(584\) 200.587 + 91.6052i 0.343472 + 0.156858i
\(585\) −8.72934 4.26888i −0.0149220 0.00729722i
\(586\) −45.7489 52.7970i −0.0780698 0.0900973i
\(587\) 197.573 + 14.1307i 0.336581 + 0.0240727i 0.238607 0.971116i \(-0.423309\pi\)
0.0979738 + 0.995189i \(0.468764\pi\)
\(588\) 3.24450 + 5.94186i 0.00551786 + 0.0101052i
\(589\) −51.7302 23.6244i −0.0878272 0.0401094i
\(590\) −244.904 + 267.984i −0.415092 + 0.454210i
\(591\) −30.2993 + 8.89669i −0.0512679 + 0.0150536i
\(592\) 149.274 + 199.406i 0.252152 + 0.336835i
\(593\) −224.332 + 601.458i −0.378300 + 1.01426i 0.598690 + 0.800981i \(0.295688\pi\)
−0.976991 + 0.213282i \(0.931585\pi\)
\(594\) 158.638 22.8088i 0.267068 0.0383986i
\(595\) −383.130 + 949.763i −0.643916 + 1.59624i
\(596\) −287.097 + 331.328i −0.481707 + 0.555919i
\(597\) −9.06229 + 9.06229i −0.0151797 + 0.0151797i
\(598\) −7.23496 0.323783i −0.0120986 0.000541443i
\(599\) 689.110i 1.15043i 0.818001 + 0.575217i \(0.195083\pi\)
−0.818001 + 0.575217i \(0.804917\pi\)
\(600\) −31.9981 + 18.2503i −0.0533301 + 0.0304171i
\(601\) 399.482 256.732i 0.664696 0.427174i −0.164314 0.986408i \(-0.552541\pi\)
0.829010 + 0.559234i \(0.188905\pi\)
\(602\) −382.881 286.621i −0.636016 0.476115i
\(603\) −82.6363 + 221.557i −0.137042 + 0.367424i
\(604\) 191.667 + 27.5576i 0.317330 + 0.0456251i
\(605\) 115.966 + 91.6914i 0.191679 + 0.151556i
\(606\) −81.4442 52.3410i −0.134396 0.0863714i
\(607\) 38.4846 + 103.181i 0.0634013 + 0.169985i 0.964787 0.263031i \(-0.0847220\pi\)
−0.901386 + 0.433016i \(0.857449\pi\)
\(608\) −2.71725 4.97628i −0.00446917 0.00818467i
\(609\) −17.7330 + 15.3657i −0.0291182 + 0.0252311i
\(610\) 326.926 + 539.545i 0.535944 + 0.884500i
\(611\) 16.2937 + 4.78425i 0.0266672 + 0.00783020i
\(612\) −191.671 513.889i −0.313188 0.839688i
\(613\) −59.5633 273.808i −0.0971669 0.446669i −0.999866 0.0163957i \(-0.994781\pi\)
0.902699 0.430273i \(-0.141583\pi\)
\(614\) −27.0104 91.9889i −0.0439908 0.149819i
\(615\) −71.8132 23.1646i −0.116769 0.0376660i
\(616\) 93.9936 + 205.817i 0.152587 + 0.334119i
\(617\) −371.026 277.747i −0.601339 0.450157i 0.254734 0.967011i \(-0.418012\pi\)
−0.856073 + 0.516854i \(0.827103\pi\)
\(618\) −109.220 23.7593i −0.176731 0.0384455i
\(619\) −224.386 194.431i −0.362497 0.314106i 0.454501 0.890746i \(-0.349818\pi\)
−0.816998 + 0.576641i \(0.804363\pi\)
\(620\) 463.050 327.904i 0.746855 0.528877i
\(621\) −65.2615 202.148i −0.105091 0.325521i
\(622\) 352.980 352.980i 0.567491 0.567491i
\(623\) 837.215 59.8788i 1.34384 0.0961136i
\(624\) −0.250838 0.390311i −0.000401984 0.000625499i
\(625\) −318.179 + 537.947i −0.509087 + 0.860715i
\(626\) −95.8276 209.833i −0.153079 0.335197i
\(627\) −3.83958 5.12908i −0.00612374 0.00818035i
\(628\) 479.037 + 261.574i 0.762798 + 0.416519i
\(629\) 1057.75 1645.89i 1.68164 2.61668i
\(630\) 395.307 75.1111i 0.627472 0.119224i
\(631\) 555.043 + 162.975i 0.879624 + 0.258281i 0.690204 0.723615i \(-0.257521\pi\)
0.189420 + 0.981896i \(0.439339\pi\)
\(632\) 40.1980 + 2.87502i 0.0636045 + 0.00454908i
\(633\) 4.62201 64.6241i 0.00730175 0.102092i
\(634\) 176.863 602.340i 0.278963 0.950062i
\(635\) 250.937 368.666i 0.395176 0.580576i
\(636\) 65.2374 + 41.9255i 0.102575 + 0.0659207i
\(637\) −0.693344 + 1.26977i −0.00108845 + 0.00199335i
\(638\) 95.9766 71.8472i 0.150434 0.112613i
\(639\) −74.5164 + 34.0305i −0.116614 + 0.0532559i
\(640\) 56.5488 + 1.49499i 0.0883575 + 0.00233592i
\(641\) −370.023 + 237.800i −0.577260 + 0.370982i −0.796454 0.604699i \(-0.793293\pi\)
0.219194 + 0.975681i \(0.429657\pi\)
\(642\) 5.21838 + 72.9625i 0.00812832 + 0.113649i
\(643\) 262.392 + 262.392i 0.408075 + 0.408075i 0.881067 0.472992i \(-0.156826\pi\)
−0.472992 + 0.881067i \(0.656826\pi\)
\(644\) 247.870 168.805i 0.384892 0.262120i
\(645\) −110.273 + 78.0886i −0.170966 + 0.121068i
\(646\) −29.1633 + 33.6562i −0.0451444 + 0.0520994i
\(647\) 132.918 611.012i 0.205437 0.944378i −0.752766 0.658288i \(-0.771281\pi\)
0.958203 0.286090i \(-0.0923555\pi\)
\(648\) −125.001 + 166.981i −0.192902 + 0.257687i
\(649\) 573.050 261.703i 0.882974 0.403241i
\(650\) −6.97780 3.64391i −0.0107351 0.00560601i
\(651\) 184.897 54.2906i 0.284020 0.0833957i
\(652\) −141.594 + 30.8019i −0.217169 + 0.0472422i
\(653\) 405.609 151.284i 0.621146 0.231676i −0.0191339 0.999817i \(-0.506091\pi\)
0.640280 + 0.768141i \(0.278818\pi\)
\(654\) −6.45472 + 21.9828i −0.00986960 + 0.0336128i
\(655\) −19.9502 + 81.3017i −0.0304583 + 0.124125i
\(656\) 75.8823 + 87.5729i 0.115674 + 0.133495i
\(657\) −597.274 + 326.136i −0.909093 + 0.496402i
\(658\) −658.850 + 245.738i −1.00129 + 0.373463i
\(659\) 461.935 718.786i 0.700964 1.09072i −0.290056 0.957010i \(-0.593674\pi\)
0.991020 0.133712i \(-0.0426897\pi\)
\(660\) 63.4913 7.42193i 0.0961990 0.0112454i
\(661\) −80.3176 + 558.621i −0.121509 + 0.845115i 0.834338 + 0.551253i \(0.185850\pi\)
−0.955848 + 0.293863i \(0.905059\pi\)
\(662\) 691.685 + 257.985i 1.04484 + 0.389706i
\(663\) −2.18389 + 2.91733i −0.00329395 + 0.00440020i
\(664\) 229.647 + 357.338i 0.345854 + 0.538159i
\(665\) −20.7353 25.2484i −0.0311809 0.0379674i
\(666\) −768.698 −1.15420
\(667\) −115.318 109.324i −0.172890 0.163903i
\(668\) 297.525 + 297.525i 0.445396 + 0.445396i
\(669\) −16.6397 14.4184i −0.0248725 0.0215522i
\(670\) −71.6639 + 177.652i −0.106961 + 0.265152i
\(671\) −155.799 1083.61i −0.232190 1.61492i
\(672\) 18.0009 + 6.71399i 0.0267870 + 0.00999105i
\(673\) −475.649 + 356.067i −0.706760 + 0.529074i −0.891110 0.453787i \(-0.850073\pi\)
0.184351 + 0.982861i \(0.440982\pi\)
\(674\) 78.0584 + 265.843i 0.115814 + 0.394425i
\(675\) 28.6175 229.113i 0.0423962 0.339427i
\(676\) −140.369 + 307.365i −0.207647 + 0.454683i
\(677\) −603.445 + 329.506i −0.891352 + 0.486715i −0.858540 0.512747i \(-0.828628\pi\)
−0.0328117 + 0.999462i \(0.510446\pi\)
\(678\) −0.919853 + 12.8612i −0.00135671 + 0.0189694i
\(679\) −267.561 + 231.843i −0.394051 + 0.341447i
\(680\) −144.217 420.261i −0.212083 0.618031i
\(681\) 50.8614 111.371i 0.0746863 0.163540i
\(682\) −962.110 + 209.294i −1.41072 + 0.306883i
\(683\) −339.620 185.446i −0.497247 0.271517i 0.210995 0.977487i \(-0.432330\pi\)
−0.708242 + 0.705970i \(0.750511\pi\)
\(684\) 17.3191 + 2.49011i 0.0253204 + 0.00364052i
\(685\) 37.9514 + 143.142i 0.0554034 + 0.208966i
\(686\) −72.8193 506.469i −0.106151 0.738293i
\(687\) −13.2878 + 61.0832i −0.0193418 + 0.0889130i
\(688\) 206.972 14.8029i 0.300831 0.0215159i
\(689\) 16.5719i 0.0240520i
\(690\) −23.8897 81.2868i −0.0346227 0.117807i
\(691\) −259.000 −0.374819 −0.187409 0.982282i \(-0.560009\pi\)
−0.187409 + 0.982282i \(0.560009\pi\)
\(692\) −23.1337 323.451i −0.0334302 0.467415i
\(693\) −682.301 148.426i −0.984562 0.214178i
\(694\) −298.603 + 42.9326i −0.430263 + 0.0618625i
\(695\) 20.0504 + 11.6465i 0.0288495 + 0.0167576i
\(696\) 1.44875 10.0763i 0.00208154 0.0144774i
\(697\) 436.185 798.814i 0.625804 1.14607i
\(698\) −12.5479 57.6819i −0.0179770 0.0826388i
\(699\) −11.3396 5.17860i −0.0162225 0.00740859i
\(700\) 321.736 52.3631i 0.459622 0.0748045i
\(701\) −372.936 430.391i −0.532005 0.613967i 0.424590 0.905386i \(-0.360418\pi\)
−0.956596 + 0.291419i \(0.905873\pi\)
\(702\) 2.90072 + 0.207464i 0.00413208 + 0.000295532i
\(703\) 29.9124 + 54.7804i 0.0425496 + 0.0779238i
\(704\) −89.2937 40.7791i −0.126838 0.0579248i
\(705\) 8.93060 + 198.462i 0.0126675 + 0.281506i
\(706\) −242.324 + 71.1527i −0.343235 + 0.100783i
\(707\) 513.400 + 685.823i 0.726167 + 0.970046i
\(708\) 18.6935 50.1193i 0.0264033 0.0707899i
\(709\) −456.125 + 65.5809i −0.643336 + 0.0924977i −0.456258 0.889847i \(-0.650811\pi\)
−0.187078 + 0.982345i \(0.559902\pi\)
\(710\) −61.0734 + 25.9632i −0.0860189 + 0.0365679i
\(711\) −81.4445 + 93.9920i −0.114549 + 0.132197i
\(712\) −257.495 + 257.495i −0.361650 + 0.361650i
\(713\) 488.506 + 1210.13i 0.685141 + 1.69723i
\(714\) 150.902i 0.211348i
\(715\) 8.66969 + 10.5566i 0.0121254 + 0.0147645i
\(716\) 72.8867 46.8414i 0.101797 0.0654210i
\(717\) −59.3903 44.4590i −0.0828316 0.0620070i
\(718\) −126.623 + 339.489i −0.176355 + 0.472826i
\(719\) 121.493 + 17.4681i 0.168975 + 0.0242950i 0.226283 0.974062i \(-0.427343\pi\)
−0.0573079 + 0.998357i \(0.518252\pi\)
\(720\) −108.274 + 136.939i −0.150381 + 0.190193i
\(721\) 832.076 + 534.742i 1.15406 + 0.741668i
\(722\) 177.916 + 477.011i 0.246421 + 0.660680i
\(723\) 55.6527 + 101.920i 0.0769746 + 0.140968i
\(724\) 426.564 369.620i 0.589177 0.510525i
\(725\) −63.3487 160.683i −0.0873775 0.221632i
\(726\) −20.9008 6.13703i −0.0287890 0.00845321i
\(727\) 286.305 + 767.613i 0.393817 + 1.05586i 0.970964 + 0.239224i \(0.0768930\pi\)
−0.577147 + 0.816640i \(0.695834\pi\)
\(728\) 0.872713 + 4.01180i 0.00119878 + 0.00551071i
\(729\) −169.152 576.079i −0.232033 0.790231i
\(730\) −490.667 + 251.324i −0.672146 + 0.344280i
\(731\) −677.048 1482.53i −0.926195 2.02808i
\(732\) −74.4151 55.7064i −0.101660 0.0761017i
\(733\) 417.578 + 90.8384i 0.569683 + 0.123927i 0.488175 0.872746i \(-0.337663\pi\)
0.0815079 + 0.996673i \(0.474026\pi\)
\(734\) −763.823 661.856i −1.04063 0.901711i
\(735\) −16.6831 2.85057i −0.0226982 0.00387832i
\(736\) −33.3126 + 125.771i −0.0452617 + 0.170884i
\(737\) 235.057 235.057i 0.318938 0.318938i
\(738\) −356.684 + 25.5106i −0.483312 + 0.0345672i
\(739\) −136.810 212.881i −0.185129 0.288066i 0.736267 0.676691i \(-0.236587\pi\)
−0.921396 + 0.388625i \(0.872950\pi\)
\(740\) −622.506 16.4573i −0.841225 0.0222396i
\(741\) −0.0482948 0.105751i −6.51752e−5 0.000142714i
\(742\) −411.237 549.349i −0.554228 0.740362i
\(743\) −713.402 389.547i −0.960164 0.524289i −0.0788843 0.996884i \(-0.525136\pi\)
−0.881280 + 0.472594i \(0.843318\pi\)
\(744\) −45.1997 + 70.3320i −0.0607522 + 0.0945323i
\(745\) −204.592 1076.76i −0.274619 1.44531i
\(746\) 159.798 + 46.9208i 0.214206 + 0.0628966i
\(747\) −1307.51 93.5147i −1.75034 0.125187i
\(748\) −55.0049 + 769.069i −0.0735360 + 1.02817i
\(749\) 182.364 621.075i 0.243477 0.829206i
\(750\) 13.8251 91.0483i 0.0184335 0.121398i
\(751\) 269.493 + 173.192i 0.358845 + 0.230616i 0.707624 0.706589i \(-0.249767\pi\)
−0.348779 + 0.937205i \(0.613404\pi\)
\(752\) 146.208 267.759i 0.194425 0.356063i
\(753\) −48.6528 + 36.4211i −0.0646120 + 0.0483679i
\(754\) 1.97884 0.903704i 0.00262445 0.00119855i
\(755\) −351.234 + 333.141i −0.465211 + 0.441246i
\(756\) −101.306 + 65.1053i −0.134002 + 0.0861181i
\(757\) −36.7812 514.269i −0.0485881 0.679351i −0.962127 0.272600i \(-0.912116\pi\)
0.913539 0.406751i \(-0.133338\pi\)
\(758\) 552.586 + 552.586i 0.729005 + 0.729005i
\(759\) −17.0345 + 146.034i −0.0224434 + 0.192404i
\(760\) 13.9721 + 2.38733i 0.0183843 + 0.00314123i
\(761\) −525.399 + 606.343i −0.690406 + 0.796771i −0.987423 0.158101i \(-0.949463\pi\)
0.297017 + 0.954872i \(0.404008\pi\)
\(762\) −13.9680 + 64.2098i −0.0183307 + 0.0842648i
\(763\) 121.496 162.300i 0.159235 0.212713i
\(764\) −449.478 + 205.270i −0.588322 + 0.268677i
\(765\) 1304.97 + 420.940i 1.70584 + 0.550248i
\(766\) −645.210 + 189.451i −0.842311 + 0.247325i
\(767\) 11.1699 2.42986i 0.0145631 0.00316801i
\(768\) −7.80967 + 2.91286i −0.0101688 + 0.00379278i
\(769\) 363.356 1237.48i 0.472505 1.60920i −0.286473 0.958088i \(-0.592483\pi\)
0.758978 0.651116i \(-0.225699\pi\)
\(770\) −549.363 134.806i −0.713459 0.175072i
\(771\) −48.3333 55.7796i −0.0626891 0.0723471i
\(772\) 131.401 71.7505i 0.170209 0.0929411i
\(773\) 623.246 232.459i 0.806269 0.300723i 0.0876720 0.996149i \(-0.472057\pi\)
0.718597 + 0.695427i \(0.244785\pi\)
\(774\) −346.201 + 538.699i −0.447288 + 0.695994i
\(775\) −74.9491 + 1416.50i −0.0967086 + 1.82775i
\(776\) 21.8592 152.034i 0.0281690 0.195920i
\(777\) −198.159 73.9096i −0.255031 0.0951218i
\(778\) −8.23586 + 11.0018i −0.0105859 + 0.0141412i
\(779\) 15.6977 + 24.4260i 0.0201510 + 0.0313556i
\(780\) 1.15436 + 0.113294i 0.00147995 + 0.000145249i
\(781\) 115.161 0.147454
\(782\) 1017.02 100.067i 1.30054 0.127963i
\(783\) 45.1188 + 45.1188i 0.0576230 + 0.0576230i
\(784\) 19.6426 + 17.0204i 0.0250543 + 0.0217097i
\(785\) −1255.74 + 533.834i −1.59967 + 0.680043i
\(786\) −1.75545 12.2094i −0.00223339 0.0155336i
\(787\) 729.742 + 272.180i 0.927246 + 0.345845i 0.767305 0.641282i \(-0.221597\pi\)
0.159940 + 0.987127i \(0.448870\pi\)
\(788\) −97.0529 + 72.6529i −0.123164 + 0.0921991i
\(789\) 22.1258 + 75.3536i 0.0280429 + 0.0955052i
\(790\) −67.9677 + 74.3729i −0.0860350 + 0.0941428i
\(791\) 47.3988 103.789i 0.0599226 0.131212i
\(792\) 265.883 145.183i 0.335711 0.183312i
\(793\) 1.41712 19.8139i 0.00178704 0.0249860i
\(794\) −106.093 + 91.9302i −0.133619 + 0.115781i
\(795\) −183.373 + 62.9263i −0.230658 + 0.0791526i
\(796\) −20.4394 + 44.7561i −0.0256777 + 0.0562263i
\(797\) −85.9136 + 18.6894i −0.107796 + 0.0234496i −0.266140 0.963934i \(-0.585748\pi\)
0.158344 + 0.987384i \(0.449385\pi\)
\(798\) 4.22520 + 2.30714i 0.00529474 + 0.00289115i
\(799\) −2371.83 341.018i −2.96850 0.426806i
\(800\) −90.6142 + 108.577i −0.113268 + 0.135722i
\(801\) −159.931 1112.35i −0.199665 1.38870i
\(802\) 76.6824 352.503i 0.0956139 0.439530i
\(803\) 954.223 68.2474i 1.18832 0.0849905i
\(804\) 28.2260i 0.0351070i
\(805\) −53.3010 + 747.831i −0.0662124 + 0.928983i
\(806\) −17.8660 −0.0221663
\(807\) −12.6275 176.556i −0.0156475 0.218781i
\(808\) −363.184 79.0058i −0.449485 0.0977795i
\(809\) −535.658 + 77.0160i −0.662124 + 0.0951990i −0.465180 0.885216i \(-0.654011\pi\)
−0.196943 + 0.980415i \(0.563101\pi\)
\(810\) −133.639 504.049i −0.164986 0.622282i
\(811\) −156.592 + 1089.12i −0.193085 + 1.34293i 0.630698 + 0.776028i \(0.282769\pi\)
−0.823783 + 0.566905i \(0.808141\pi\)
\(812\) −43.1717 + 79.0630i −0.0531671 + 0.0973682i
\(813\) 18.9239 + 86.9919i 0.0232767 + 0.107001i
\(814\) 982.972 + 448.908i 1.20758 + 0.551485i
\(815\) 159.146 325.435i 0.195271 0.399306i
\(816\) 42.8730 + 49.4781i 0.0525404 + 0.0606349i
\(817\) 51.8616 + 3.70921i 0.0634780 + 0.00454004i
\(818\) −10.9965 20.1385i −0.0134431 0.0246193i
\(819\) −11.5251 5.26334i −0.0140722 0.00642654i
\(820\) −289.396 + 13.0226i −0.352922 + 0.0158812i
\(821\) −413.242 + 121.339i −0.503339 + 0.147794i −0.523538 0.852002i \(-0.675388\pi\)
0.0201988 + 0.999796i \(0.493570\pi\)
\(822\) −13.0764 17.4680i −0.0159080 0.0212506i
\(823\) −91.0945 + 244.234i −0.110686 + 0.296760i −0.980469 0.196674i \(-0.936986\pi\)
0.869783 + 0.493434i \(0.164259\pi\)
\(824\) −424.748 + 61.0696i −0.515471 + 0.0741136i
\(825\) −83.8925 + 136.019i −0.101688 + 0.164871i
\(826\) −309.979 + 357.734i −0.375277 + 0.433093i
\(827\) 944.657 944.657i 1.14227 1.14227i 0.154235 0.988034i \(-0.450709\pi\)
0.988034 0.154235i \(-0.0492913\pi\)
\(828\) −249.108 314.898i −0.300855 0.380311i
\(829\) 135.042i 0.162897i −0.996678 0.0814486i \(-0.974045\pi\)
0.996678 0.0814486i \(-0.0259547\pi\)
\(830\) −1056.84 103.723i −1.27330 0.124967i
\(831\) 150.886 96.9683i 0.181571 0.116689i
\(832\) −1.42594 1.06745i −0.00171387 0.00128299i
\(833\) 71.3413 191.273i 0.0856438 0.229620i
\(834\) −3.38183 0.486234i −0.00405496 0.000583015i
\(835\) −1044.79 + 122.133i −1.25125 + 0.146267i
\(836\) −20.6926 13.2984i −0.0247520 0.0159071i
\(837\) −183.130 490.990i −0.218793 0.586606i
\(838\) 492.627 + 902.179i 0.587860 + 1.07659i
\(839\) 684.586 593.197i 0.815954 0.707028i −0.143267 0.989684i \(-0.545761\pi\)
0.959221 + 0.282656i \(0.0912154\pi\)
\(840\) −41.0780 + 24.8904i −0.0489024 + 0.0296314i
\(841\) −761.136 223.490i −0.905037 0.265743i
\(842\) 27.7256 + 74.3353i 0.0329283 + 0.0882842i
\(843\) −40.7351 187.256i −0.0483216 0.222131i
\(844\) −70.0766 238.659i −0.0830291 0.282771i
\(845\) −385.111 751.862i −0.455753 0.889777i
\(846\) 391.103 + 856.397i 0.462297 + 1.01229i
\(847\) 154.312 + 115.516i 0.182186 + 0.136383i
\(848\) 290.913 + 63.2842i 0.343058 + 0.0746277i
\(849\) 40.1149 + 34.7598i 0.0472496 + 0.0409420i
\(850\) 1047.77 + 368.824i 1.23268 + 0.433910i
\(851\) 366.715 1384.52i 0.430923 1.62694i
\(852\) 6.91437 6.91437i 0.00811546 0.00811546i
\(853\) −817.611 + 58.4767i −0.958512 + 0.0685541i −0.541821 0.840494i \(-0.682265\pi\)
−0.416691 + 0.909048i \(0.636810\pi\)
\(854\) 444.714 + 691.988i 0.520742 + 0.810290i
\(855\) −31.7377 + 30.1028i −0.0371201 + 0.0352079i
\(856\) 116.660 + 255.451i 0.136285 + 0.298424i
\(857\) −9.87548 13.1921i −0.0115233 0.0153933i 0.794743 0.606947i \(-0.207606\pi\)
−0.806266 + 0.591553i \(0.798515\pi\)
\(858\) −1.76661 0.964641i −0.00205898 0.00112429i
\(859\) 193.850 301.637i 0.225670 0.351149i −0.709893 0.704310i \(-0.751257\pi\)
0.935563 + 0.353161i \(0.114893\pi\)
\(860\) −291.893 + 428.837i −0.339411 + 0.498648i
\(861\) −94.4010 27.7186i −0.109641 0.0321935i
\(862\) −589.409 42.1554i −0.683770 0.0489042i
\(863\) −12.5716 + 175.774i −0.0145673 + 0.203677i 0.984956 + 0.172805i \(0.0552831\pi\)
−0.999523 + 0.0308723i \(0.990171\pi\)
\(864\) 14.7192 50.1289i 0.0170361 0.0580196i
\(865\) 670.177 + 456.165i 0.774771 + 0.527358i
\(866\) 576.285 + 370.356i 0.665456 + 0.427663i
\(867\) 174.288 319.186i 0.201025 0.368149i
\(868\) 592.249 443.352i 0.682315 0.510775i
\(869\) 159.037 72.6298i 0.183012 0.0835786i
\(870\) 17.5138 + 18.4650i 0.0201308 + 0.0212241i
\(871\) 5.07432 3.26107i 0.00582586 0.00374405i
\(872\) 6.27483 + 87.7336i 0.00719591 + 0.100612i
\(873\) 335.172 + 335.172i 0.383932 + 0.383932i
\(874\) −12.7473 + 30.0060i −0.0145850 + 0.0343318i
\(875\) −396.184 + 712.135i −0.452782 + 0.813869i
\(876\) 53.1947 61.3900i 0.0607246 0.0700799i
\(877\) −132.528 + 609.222i −0.151115 + 0.694665i 0.837775 + 0.546016i \(0.183856\pi\)
−0.988890 + 0.148649i \(0.952507\pi\)
\(878\) 288.286 385.105i 0.328344 0.438616i
\(879\) −23.4088 + 10.6904i −0.0266312 + 0.0121620i
\(880\) 218.426 111.880i 0.248211 0.127136i
\(881\) 1253.84 368.161i 1.42320 0.417890i 0.522616 0.852568i \(-0.324956\pi\)
0.900586 + 0.434679i \(0.143138\pi\)
\(882\) −78.3755 + 17.0495i −0.0888611 + 0.0193305i
\(883\) −354.273 + 132.137i −0.401215 + 0.149645i −0.541968 0.840399i \(-0.682320\pi\)
0.140753 + 0.990045i \(0.455048\pi\)
\(884\) −3.94160 + 13.4239i −0.00445883 + 0.0151854i
\(885\) 69.3014 + 114.372i 0.0783067 + 0.129234i
\(886\) −85.2698 98.4066i −0.0962413 0.111068i
\(887\) −291.099 + 158.952i −0.328184 + 0.179202i −0.634890 0.772602i \(-0.718955\pi\)
0.306707 + 0.951804i \(0.400773\pi\)
\(888\) 85.9713 32.0656i 0.0968145 0.0361099i
\(889\) 314.373 489.173i 0.353625 0.550251i
\(890\) −105.701 904.225i −0.118765 1.01598i
\(891\) −128.782 + 895.697i −0.144536 + 1.00527i
\(892\) −79.1986 29.5396i −0.0887877 0.0331161i
\(893\) 45.8112 61.1966i 0.0513003 0.0685292i
\(894\) 87.3113 + 135.859i 0.0976636 + 0.151968i
\(895\) −21.1565 + 215.566i −0.0236386 + 0.240855i
\(896\) 73.7583 0.0823196
\(897\) −0.865293 + 2.52357i −0.000964652 + 0.00281334i
\(898\) −403.107 403.107i −0.448894 0.448894i
\(899\) −296.254 256.705i −0.329537 0.285546i
\(900\) −100.659 424.664i −0.111843 0.471849i
\(901\) −332.791 2314.61i −0.369357 2.56894i
\(902\) 471.008 + 175.677i 0.522182 + 0.194764i
\(903\) −141.041 + 105.582i −0.156192 + 0.116924i
\(904\) 13.9463 + 47.4969i 0.0154274 + 0.0525408i
\(905\) 63.4325 + 1409.64i 0.0700911 + 1.55761i
\(906\) 29.6316 64.8841i 0.0327059 0.0716160i
\(907\) 229.770 125.464i 0.253329 0.138328i −0.347567 0.937655i \(-0.612992\pi\)
0.600897 + 0.799327i \(0.294810\pi\)
\(908\) 33.5326 468.847i 0.0369302 0.516352i
\(909\) 866.852 751.131i 0.953632 0.826327i
\(910\) −9.22057 4.50910i −0.0101325 0.00495505i
\(911\) −97.4459 + 213.377i −0.106966 + 0.234223i −0.955545 0.294846i \(-0.904732\pi\)
0.848579 + 0.529069i \(0.177459\pi\)
\(912\) −2.04085 + 0.443959i −0.00223777 + 0.000486797i
\(913\) 1617.36 + 883.147i 1.77148 + 0.967303i
\(914\) 212.623 + 30.5705i 0.232629 + 0.0334470i
\(915\) 224.629 59.5561i 0.245496 0.0650886i
\(916\) 34.1543 + 237.548i 0.0372864 + 0.259332i
\(917\) −23.2020 + 106.658i −0.0253020 + 0.116312i
\(918\) −409.314 + 29.2747i −0.445876 + 0.0318897i
\(919\) 590.775i 0.642846i 0.946936 + 0.321423i \(0.104161\pi\)
−0.946936 + 0.321423i \(0.895839\pi\)
\(920\) −194.991 260.343i −0.211946 0.282982i
\(921\) −35.3163 −0.0383456
\(922\) −74.1113 1036.21i −0.0803810 1.12387i
\(923\) 2.04187 + 0.444182i 0.00221221 + 0.000481238i
\(924\) 82.5002 11.8617i 0.0892859 0.0128374i
\(925\) 997.509 1195.25i 1.07839 1.29217i
\(926\) −107.636 + 748.623i −0.116237 + 0.808448i
\(927\) 634.652 1162.28i 0.684631 1.25381i
\(928\) −8.30747 38.1888i −0.00895202 0.0411518i
\(929\) 150.811 + 68.8730i 0.162337 + 0.0741367i 0.494926 0.868935i \(-0.335195\pi\)
−0.332590 + 0.943072i \(0.607922\pi\)
\(930\) −67.8404 197.693i −0.0729467 0.212574i
\(931\) 4.26484 + 4.92189i 0.00458093 + 0.00528667i
\(932\) −47.7371 3.41422i −0.0512200 0.00366333i
\(933\) −88.1267 161.392i −0.0944552 0.172982i
\(934\) −381.260 174.116i −0.408201 0.186419i
\(935\) −1422.90 1300.36i −1.52182 1.39076i
\(936\) 5.27424 1.54866i 0.00563487 0.00165455i
\(937\) 649.263 + 867.313i 0.692916 + 0.925628i 0.999658 0.0261650i \(-0.00832953\pi\)
−0.306741 + 0.951793i \(0.599239\pi\)
\(938\) −87.2865 + 234.024i −0.0930560 + 0.249493i
\(939\) −84.1099 + 12.0932i −0.0895739 + 0.0128788i
\(940\) 298.388 + 701.900i 0.317434 + 0.746702i
\(941\) −793.266 + 915.478i −0.843003 + 0.972878i −0.999891 0.0147386i \(-0.995308\pi\)
0.156888 + 0.987616i \(0.449854\pi\)
\(942\) 142.167 142.167i 0.150921 0.150921i
\(943\) 124.212 654.604i 0.131720 0.694172i
\(944\) 205.363i 0.217545i
\(945\) 29.4056 299.617i 0.0311171 0.317055i
\(946\) 757.297 486.685i 0.800526 0.514467i
\(947\) 798.755 + 597.941i 0.843459 + 0.631405i 0.931107 0.364746i \(-0.118844\pi\)
−0.0876484 + 0.996151i \(0.527935\pi\)
\(948\) 5.18797 13.9095i 0.00547254 0.0146724i
\(949\) 17.1821 + 2.47042i 0.0181055 + 0.00260318i
\(950\) −26.3463 + 23.6983i −0.0277329 + 0.0249456i
\(951\) −194.540 125.023i −0.204563 0.131465i
\(952\) −202.457 542.807i −0.212665 0.570176i
\(953\) 526.854 + 964.861i 0.552837 + 1.01245i 0.993398 + 0.114723i \(0.0365980\pi\)
−0.440560 + 0.897723i \(0.645220\pi\)
\(954\) −694.355 + 601.662i −0.727835 + 0.630673i
\(955\) 294.397 1199.74i 0.308269 1.25627i
\(956\) −273.279 80.2421i −0.285857 0.0839352i
\(957\) −15.4336 41.3790i −0.0161270 0.0432382i
\(958\) 29.4291 + 135.283i 0.0307193 + 0.141214i
\(959\) 54.3991 + 185.266i 0.0567248 + 0.193187i
\(960\) 6.39710 19.8318i 0.00666365 0.0206581i
\(961\) 938.156 + 2054.28i 0.976229 + 2.13764i
\(962\) 15.6972 + 11.7508i 0.0163172 + 0.0122149i
\(963\) −846.840 184.219i −0.879377 0.191297i
\(964\) 336.927 + 291.949i 0.349509 + 0.302852i
\(965\) −63.0388 + 368.940i −0.0653252 + 0.382321i
\(966\) −33.9393 105.128i −0.0351339 0.108828i
\(967\) 531.507 531.507i 0.549646 0.549646i −0.376693 0.926338i \(-0.622939\pi\)
0.926338 + 0.376693i \(0.122939\pi\)
\(968\) −83.4154 + 5.96599i −0.0861730 + 0.00616321i
\(969\) 8.86906 + 13.8005i 0.00915280 + 0.0142420i
\(970\) 264.253 + 278.605i 0.272426 + 0.287222i
\(971\) 233.312 + 510.881i 0.240280 + 0.526139i 0.990901 0.134594i \(-0.0429729\pi\)
−0.750621 + 0.660733i \(0.770246\pi\)
\(972\) 145.672 + 194.595i 0.149868 + 0.200201i
\(973\) 26.5354 + 14.4894i 0.0272717 + 0.0148915i
\(974\) −485.750 + 755.841i −0.498716 + 0.776018i
\(975\) −2.01209 + 2.08811i −0.00206368 + 0.00214165i
\(976\) −342.415 100.542i −0.350835 0.103014i
\(977\) −738.176 52.7954i −0.755554 0.0540383i −0.311752 0.950163i \(-0.600916\pi\)
−0.443802 + 0.896125i \(0.646371\pi\)
\(978\) −3.80798 + 53.2425i −0.00389364 + 0.0544402i
\(979\) −445.083 + 1515.81i −0.454630 + 1.54833i
\(980\) −63.8350 + 12.1291i −0.0651377 + 0.0123766i
\(981\) −228.350 146.752i −0.232773 0.149594i
\(982\) 292.013 534.782i 0.297366 0.544585i
\(983\) 976.692 731.143i 0.993583 0.743787i 0.0268674 0.999639i \(-0.491447\pi\)
0.966716 + 0.255852i \(0.0823559\pi\)
\(984\) 38.8275 17.7319i 0.0394588 0.0180202i
\(985\) 8.00993 302.979i 0.00813190 0.307593i
\(986\) −258.239 + 165.960i −0.261906 + 0.168316i
\(987\) 18.4791 + 258.371i 0.0187225 + 0.261774i
\(988\) −0.315600 0.315600i −0.000319433 0.000319433i
\(989\) −805.107 880.544i −0.814062 0.890338i
\(990\) −127.556 + 746.529i −0.128844 + 0.754069i
\(991\) 605.050 698.265i 0.610545 0.704606i −0.363338 0.931657i \(-0.618363\pi\)
0.973883 + 0.227051i \(0.0729084\pi\)
\(992\) −68.2263 + 313.631i −0.0687765 + 0.316161i
\(993\) 162.968 217.699i 0.164117 0.219234i
\(994\) −78.7097 + 35.9455i −0.0791848 + 0.0361625i
\(995\) −56.0768 109.480i −0.0563586 0.110030i
\(996\) 150.133 44.0829i 0.150736 0.0442600i
\(997\) 127.648 27.7680i 0.128032 0.0278516i −0.148093 0.988973i \(-0.547313\pi\)
0.276124 + 0.961122i \(0.410950\pi\)
\(998\) 824.027 307.346i 0.825678 0.307962i
\(999\) −162.033 + 551.834i −0.162195 + 0.552387i
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 230.3.k.b.223.5 yes 240
5.2 odd 4 inner 230.3.k.b.177.5 yes 240
23.13 even 11 inner 230.3.k.b.13.5 240
115.82 odd 44 inner 230.3.k.b.197.5 yes 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
230.3.k.b.13.5 240 23.13 even 11 inner
230.3.k.b.177.5 yes 240 5.2 odd 4 inner
230.3.k.b.197.5 yes 240 115.82 odd 44 inner
230.3.k.b.223.5 yes 240 1.1 even 1 trivial