Properties

Label 230.4.j.a.9.8
Level $230$
Weight $4$
Character 230.9
Analytic conductor $13.570$
Analytic rank $0$
Dimension $360$
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] = [230,4,Mod(9,230)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(230, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([11, 10]))
 
N = Newforms(chi, 4, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("230.9");
 
S:= CuspForms(chi, 4);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 230.j (of order \(22\), degree \(10\), 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: \(13.5704393013\)
Analytic rank: \(0\)
Dimension: \(360\)
Relative dimension: \(36\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 9.8
Character \(\chi\) \(=\) 230.9
Dual form 230.4.j.a.179.8

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.563465 - 1.91899i) q^{2} +(-2.50934 + 2.17435i) q^{3} +(-3.36501 + 2.16256i) q^{4} +(0.326731 + 11.1756i) q^{5} +(5.58647 + 3.59021i) q^{6} +(12.0046 + 5.48233i) q^{7} +(6.04600 + 5.23889i) q^{8} +(-2.27354 + 15.8128i) q^{9} +O(q^{10})\) \(q+(-0.563465 - 1.91899i) q^{2} +(-2.50934 + 2.17435i) q^{3} +(-3.36501 + 2.16256i) q^{4} +(0.326731 + 11.1756i) q^{5} +(5.58647 + 3.59021i) q^{6} +(12.0046 + 5.48233i) q^{7} +(6.04600 + 5.23889i) q^{8} +(-2.27354 + 15.8128i) q^{9} +(21.2617 - 6.92403i) q^{10} +(-50.3365 - 14.7801i) q^{11} +(3.74178 - 12.7433i) q^{12} +(7.23245 - 3.30295i) q^{13} +(3.75633 - 26.1258i) q^{14} +(-25.1195 - 27.3328i) q^{15} +(6.64664 - 14.5541i) q^{16} +(44.2924 - 68.9203i) q^{17} +(31.6256 - 4.54708i) q^{18} +(16.8436 - 10.8247i) q^{19} +(-25.2673 - 36.8994i) q^{20} +(-42.0442 + 12.3453i) q^{21} +104.923i q^{22} +(-97.9435 + 50.7354i) q^{23} -26.5626 q^{24} +(-124.786 + 7.30280i) q^{25} +(-10.4135 - 12.0179i) q^{26} +(-77.1454 - 120.041i) q^{27} +(-52.2517 + 7.51266i) q^{28} +(-152.941 - 98.2891i) q^{29} +(-38.2973 + 63.6050i) q^{30} +(-153.498 + 177.146i) q^{31} +(-31.6743 - 4.55407i) q^{32} +(158.448 - 72.3609i) q^{33} +(-157.214 - 46.1623i) q^{34} +(-57.3459 + 135.950i) q^{35} +(-26.5457 - 58.1270i) q^{36} +(146.318 + 21.0373i) q^{37} +(-30.2633 - 26.2233i) q^{38} +(-10.9669 + 24.0141i) q^{39} +(-56.5721 + 69.2791i) q^{40} +(33.8313 + 235.302i) q^{41} +(47.3809 + 73.7261i) q^{42} +(-206.459 + 178.898i) q^{43} +(201.346 - 59.1205i) q^{44} +(-177.460 - 20.2416i) q^{45} +(152.548 + 159.365i) q^{46} -439.328i q^{47} +(14.9671 + 50.9733i) q^{48} +(-110.562 - 127.595i) q^{49} +(84.3268 + 235.349i) q^{50} +(38.7125 + 269.251i) q^{51} +(-17.1945 + 26.7551i) q^{52} +(-169.814 - 77.5515i) q^{53} +(-186.887 + 215.680i) q^{54} +(148.730 - 567.367i) q^{55} +(43.8587 + 96.0371i) q^{56} +(-18.7295 + 63.7869i) q^{57} +(-102.439 + 348.874i) q^{58} +(-36.5267 - 79.9824i) q^{59} +(143.636 + 37.6528i) q^{60} +(21.9653 - 25.3493i) q^{61} +(426.431 + 194.745i) q^{62} +(-113.984 + 177.363i) q^{63} +(9.10815 + 63.3486i) q^{64} +(39.2754 + 79.7475i) q^{65} +(-228.140 - 263.287i) q^{66} +(123.181 + 419.515i) q^{67} +327.703i q^{68} +(135.457 - 340.276i) q^{69} +(293.198 + 33.4430i) q^{70} +(171.501 - 50.3573i) q^{71} +(-96.5874 + 83.6934i) q^{72} +(-376.712 - 586.176i) q^{73} +(-42.0747 - 292.636i) q^{74} +(297.252 - 289.655i) q^{75} +(-33.2698 + 72.8508i) q^{76} +(-523.241 - 453.391i) q^{77} +(52.2622 + 7.51417i) q^{78} +(-162.017 - 354.767i) q^{79} +(164.822 + 69.5247i) q^{80} +(40.7299 + 11.9594i) q^{81} +(432.479 - 197.506i) q^{82} +(-958.865 - 137.864i) q^{83} +(114.782 - 132.465i) q^{84} +(784.695 + 472.474i) q^{85} +(459.636 + 295.390i) q^{86} +(597.495 - 85.9068i) q^{87} +(-226.903 - 353.068i) q^{88} +(902.682 + 1041.75i) q^{89} +(61.1492 + 351.949i) q^{90} +104.931 q^{91} +(219.863 - 382.534i) q^{92} -778.277i q^{93} +(-843.065 + 247.546i) q^{94} +(126.476 + 184.700i) q^{95} +(89.3836 - 57.4434i) q^{96} +(125.014 - 17.9742i) q^{97} +(-182.556 + 284.062i) q^{98} +(348.157 - 762.358i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 360 q + 144 q^{4} + 32 q^{5} + 8 q^{6} + 224 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 360 q + 144 q^{4} + 32 q^{5} + 8 q^{6} + 224 q^{9} + 96 q^{11} + 208 q^{14} - 752 q^{15} - 576 q^{16} + 48 q^{19} + 224 q^{20} - 272 q^{21} - 32 q^{24} + 904 q^{25} - 152 q^{26} - 20 q^{29} - 1272 q^{30} + 160 q^{31} + 128 q^{34} - 364 q^{35} - 896 q^{36} - 1476 q^{39} + 216 q^{41} - 384 q^{44} - 820 q^{45} + 416 q^{46} + 3814 q^{49} + 1000 q^{50} + 296 q^{51} - 2772 q^{54} - 4272 q^{55} + 1104 q^{56} - 6250 q^{59} - 72 q^{60} + 96 q^{61} + 2304 q^{64} + 8708 q^{65} - 6144 q^{66} + 14176 q^{69} + 6136 q^{70} - 11144 q^{71} + 4944 q^{74} + 6722 q^{75} - 192 q^{76} - 2680 q^{79} - 896 q^{80} + 4820 q^{81} - 2696 q^{84} - 7290 q^{85} + 2900 q^{86} + 880 q^{89} - 1104 q^{90} + 5272 q^{91} + 864 q^{94} + 7456 q^{95} + 128 q^{96} + 23448 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(47\) \(51\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.563465 1.91899i −0.199215 0.678464i
\(3\) −2.50934 + 2.17435i −0.482922 + 0.418454i −0.861998 0.506911i \(-0.830787\pi\)
0.379076 + 0.925365i \(0.376242\pi\)
\(4\) −3.36501 + 2.16256i −0.420627 + 0.270320i
\(5\) 0.326731 + 11.1756i 0.0292237 + 0.999573i
\(6\) 5.58647 + 3.59021i 0.380111 + 0.244283i
\(7\) 12.0046 + 5.48233i 0.648190 + 0.296018i 0.712248 0.701928i \(-0.247677\pi\)
−0.0640585 + 0.997946i \(0.520404\pi\)
\(8\) 6.04600 + 5.23889i 0.267198 + 0.231528i
\(9\) −2.27354 + 15.8128i −0.0842052 + 0.585660i
\(10\) 21.2617 6.92403i 0.672352 0.218957i
\(11\) −50.3365 14.7801i −1.37973 0.405125i −0.494054 0.869431i \(-0.664485\pi\)
−0.885675 + 0.464306i \(0.846304\pi\)
\(12\) 3.74178 12.7433i 0.0900132 0.306557i
\(13\) 7.23245 3.30295i 0.154302 0.0704672i −0.336767 0.941588i \(-0.609334\pi\)
0.491069 + 0.871121i \(0.336606\pi\)
\(14\) 3.75633 26.1258i 0.0717086 0.498745i
\(15\) −25.1195 27.3328i −0.432388 0.470487i
\(16\) 6.64664 14.5541i 0.103854 0.227408i
\(17\) 44.2924 68.9203i 0.631910 0.983272i −0.366688 0.930344i \(-0.619508\pi\)
0.998598 0.0529278i \(-0.0168553\pi\)
\(18\) 31.6256 4.54708i 0.414124 0.0595421i
\(19\) 16.8436 10.8247i 0.203378 0.130703i −0.434987 0.900437i \(-0.643247\pi\)
0.638366 + 0.769733i \(0.279611\pi\)
\(20\) −25.2673 36.8994i −0.282497 0.412547i
\(21\) −42.0442 + 12.3453i −0.436895 + 0.128284i
\(22\) 104.923i 1.01680i
\(23\) −97.9435 + 50.7354i −0.887940 + 0.459959i
\(24\) −26.5626 −0.225920
\(25\) −124.786 + 7.30280i −0.998292 + 0.0584224i
\(26\) −10.4135 12.0179i −0.0785486 0.0906499i
\(27\) −77.1454 120.041i −0.549875 0.855623i
\(28\) −52.2517 + 7.51266i −0.352666 + 0.0507057i
\(29\) −152.941 98.2891i −0.979324 0.629373i −0.0500433 0.998747i \(-0.515936\pi\)
−0.929281 + 0.369374i \(0.879572\pi\)
\(30\) −38.2973 + 63.6050i −0.233070 + 0.387088i
\(31\) −153.498 + 177.146i −0.889323 + 1.02633i 0.110151 + 0.993915i \(0.464866\pi\)
−0.999474 + 0.0324185i \(0.989679\pi\)
\(32\) −31.6743 4.55407i −0.174977 0.0251579i
\(33\) 158.448 72.3609i 0.835827 0.381710i
\(34\) −157.214 46.1623i −0.793001 0.232846i
\(35\) −57.3459 + 135.950i −0.276949 + 0.656563i
\(36\) −26.5457 58.1270i −0.122897 0.269107i
\(37\) 146.318 + 21.0373i 0.650122 + 0.0934734i 0.459483 0.888187i \(-0.348035\pi\)
0.190639 + 0.981660i \(0.438944\pi\)
\(38\) −30.2633 26.2233i −0.129194 0.111947i
\(39\) −10.9669 + 24.0141i −0.0450283 + 0.0985983i
\(40\) −56.5721 + 69.2791i −0.223621 + 0.273850i
\(41\) 33.8313 + 235.302i 0.128868 + 0.896293i 0.946993 + 0.321254i \(0.104104\pi\)
−0.818126 + 0.575040i \(0.804987\pi\)
\(42\) 47.3809 + 73.7261i 0.174072 + 0.270861i
\(43\) −206.459 + 178.898i −0.732204 + 0.634458i −0.938997 0.343926i \(-0.888243\pi\)
0.206793 + 0.978385i \(0.433697\pi\)
\(44\) 201.346 59.1205i 0.689864 0.202562i
\(45\) −177.460 20.2416i −0.587871 0.0670541i
\(46\) 152.548 + 159.365i 0.488957 + 0.510805i
\(47\) 439.328i 1.36346i −0.731604 0.681730i \(-0.761228\pi\)
0.731604 0.681730i \(-0.238772\pi\)
\(48\) 14.9671 + 50.9733i 0.0450066 + 0.153278i
\(49\) −110.562 127.595i −0.322338 0.371998i
\(50\) 84.3268 + 235.349i 0.238512 + 0.665667i
\(51\) 38.7125 + 269.251i 0.106291 + 0.739269i
\(52\) −17.1945 + 26.7551i −0.0458547 + 0.0713512i
\(53\) −169.814 77.5515i −0.440109 0.200991i 0.183022 0.983109i \(-0.441412\pi\)
−0.623130 + 0.782118i \(0.714139\pi\)
\(54\) −186.887 + 215.680i −0.470966 + 0.543524i
\(55\) 148.730 567.367i 0.364631 1.39098i
\(56\) 43.8587 + 96.0371i 0.104658 + 0.229170i
\(57\) −18.7295 + 63.7869i −0.0435225 + 0.148224i
\(58\) −102.439 + 348.874i −0.231911 + 0.789817i
\(59\) −36.5267 79.9824i −0.0805996 0.176488i 0.865042 0.501700i \(-0.167292\pi\)
−0.945641 + 0.325211i \(0.894565\pi\)
\(60\) 143.636 + 37.6528i 0.309056 + 0.0810160i
\(61\) 21.9653 25.3493i 0.0461044 0.0532074i −0.732229 0.681059i \(-0.761520\pi\)
0.778333 + 0.627851i \(0.216065\pi\)
\(62\) 426.431 + 194.745i 0.873497 + 0.398913i
\(63\) −113.984 + 177.363i −0.227947 + 0.354692i
\(64\) 9.10815 + 63.3486i 0.0177894 + 0.123728i
\(65\) 39.2754 + 79.7475i 0.0749463 + 0.152176i
\(66\) −228.140 263.287i −0.425486 0.491037i
\(67\) 123.181 + 419.515i 0.224611 + 0.764954i 0.992270 + 0.124096i \(0.0396031\pi\)
−0.767659 + 0.640858i \(0.778579\pi\)
\(68\) 327.703i 0.584409i
\(69\) 135.457 340.276i 0.236334 0.593687i
\(70\) 293.198 + 33.4430i 0.500627 + 0.0571029i
\(71\) 171.501 50.3573i 0.286668 0.0841734i −0.135237 0.990813i \(-0.543180\pi\)
0.421905 + 0.906640i \(0.361361\pi\)
\(72\) −96.5874 + 83.6934i −0.158096 + 0.136991i
\(73\) −376.712 586.176i −0.603984 0.939818i −0.999769 0.0214748i \(-0.993164\pi\)
0.395785 0.918343i \(-0.370473\pi\)
\(74\) −42.0747 292.636i −0.0660957 0.459706i
\(75\) 297.252 289.655i 0.457650 0.445953i
\(76\) −33.2698 + 72.8508i −0.0502146 + 0.109955i
\(77\) −523.241 453.391i −0.774401 0.671023i
\(78\) 52.2622 + 7.51417i 0.0758657 + 0.0109078i
\(79\) −162.017 354.767i −0.230738 0.505246i 0.758480 0.651696i \(-0.225942\pi\)
−0.989218 + 0.146451i \(0.953215\pi\)
\(80\) 164.822 + 69.5247i 0.230346 + 0.0971637i
\(81\) 40.7299 + 11.9594i 0.0558709 + 0.0164052i
\(82\) 432.479 197.506i 0.582430 0.265987i
\(83\) −958.865 137.864i −1.26806 0.182320i −0.524745 0.851260i \(-0.675839\pi\)
−0.743316 + 0.668940i \(0.766748\pi\)
\(84\) 114.782 132.465i 0.149092 0.172061i
\(85\) 784.695 + 472.474i 1.00132 + 0.602906i
\(86\) 459.636 + 295.390i 0.576323 + 0.370380i
\(87\) 597.495 85.9068i 0.736301 0.105864i
\(88\) −226.903 353.068i −0.274863 0.427695i
\(89\) 902.682 + 1041.75i 1.07510 + 1.24073i 0.969178 + 0.246360i \(0.0792345\pi\)
0.105924 + 0.994374i \(0.466220\pi\)
\(90\) 61.1492 + 351.949i 0.0716188 + 0.412207i
\(91\) 104.931 0.120876
\(92\) 219.863 382.534i 0.249155 0.433499i
\(93\) 778.277i 0.867780i
\(94\) −843.065 + 247.546i −0.925058 + 0.271622i
\(95\) 126.476 + 184.700i 0.136591 + 0.199472i
\(96\) 89.3836 57.4434i 0.0950279 0.0610707i
\(97\) 125.014 17.9742i 0.130858 0.0188145i −0.0765747 0.997064i \(-0.524398\pi\)
0.207432 + 0.978249i \(0.433489\pi\)
\(98\) −182.556 + 284.062i −0.188173 + 0.292802i
\(99\) 348.157 762.358i 0.353446 0.773938i
\(100\) 404.116 294.433i 0.404116 0.294433i
\(101\) −44.6139 + 310.296i −0.0439529 + 0.305699i 0.955972 + 0.293457i \(0.0948059\pi\)
−0.999925 + 0.0122419i \(0.996103\pi\)
\(102\) 494.876 226.002i 0.480393 0.219388i
\(103\) 246.819 840.588i 0.236114 0.804132i −0.753132 0.657870i \(-0.771458\pi\)
0.989246 0.146262i \(-0.0467242\pi\)
\(104\) 61.0311 + 17.9204i 0.0575442 + 0.0168965i
\(105\) −151.703 465.834i −0.140997 0.432960i
\(106\) −53.1359 + 369.568i −0.0486888 + 0.338638i
\(107\) −1279.99 1109.12i −1.15646 1.00208i −0.999896 0.0144106i \(-0.995413\pi\)
−0.156564 0.987668i \(-0.550042\pi\)
\(108\) 519.191 + 237.106i 0.462585 + 0.211255i
\(109\) 1853.12 + 1190.93i 1.62841 + 1.04652i 0.950197 + 0.311651i \(0.100882\pi\)
0.678214 + 0.734865i \(0.262754\pi\)
\(110\) −1172.57 + 34.2816i −1.01637 + 0.0297147i
\(111\) −412.903 + 265.357i −0.353073 + 0.226906i
\(112\) 159.581 138.278i 0.134634 0.116661i
\(113\) 221.409 + 754.050i 0.184322 + 0.627744i 0.998865 + 0.0476397i \(0.0151699\pi\)
−0.814542 + 0.580104i \(0.803012\pi\)
\(114\) 132.959 0.109235
\(115\) −598.997 1078.00i −0.485711 0.874119i
\(116\) 727.205 0.582062
\(117\) 35.7857 + 121.875i 0.0282768 + 0.0963019i
\(118\) −132.904 + 115.162i −0.103684 + 0.0898431i
\(119\) 909.558 584.537i 0.700664 0.450290i
\(120\) −8.67882 296.852i −0.00660220 0.225823i
\(121\) 1195.60 + 768.365i 0.898271 + 0.577284i
\(122\) −61.0217 27.8677i −0.0452840 0.0206805i
\(123\) −596.524 516.891i −0.437291 0.378915i
\(124\) 133.433 928.047i 0.0966342 0.672105i
\(125\) −122.384 1392.17i −0.0875712 0.996158i
\(126\) 404.583 + 118.796i 0.286056 + 0.0839937i
\(127\) −246.261 + 838.687i −0.172064 + 0.585996i 0.827631 + 0.561273i \(0.189688\pi\)
−0.999694 + 0.0247223i \(0.992130\pi\)
\(128\) 116.433 53.1731i 0.0804009 0.0367178i
\(129\) 129.089 897.831i 0.0881056 0.612788i
\(130\) 130.904 120.304i 0.0883158 0.0811642i
\(131\) 91.4870 200.329i 0.0610172 0.133609i −0.876667 0.481098i \(-0.840238\pi\)
0.937684 + 0.347489i \(0.112965\pi\)
\(132\) −376.696 + 586.150i −0.248388 + 0.386499i
\(133\) 261.546 37.6047i 0.170518 0.0245168i
\(134\) 735.635 472.764i 0.474248 0.304781i
\(135\) 1316.32 901.364i 0.839188 0.574645i
\(136\) 628.857 184.649i 0.396500 0.116423i
\(137\) 1831.11i 1.14191i 0.820980 + 0.570957i \(0.193428\pi\)
−0.820980 + 0.570957i \(0.806572\pi\)
\(138\) −729.309 68.2058i −0.449876 0.0420729i
\(139\) −2830.40 −1.72713 −0.863566 0.504236i \(-0.831774\pi\)
−0.863566 + 0.504236i \(0.831774\pi\)
\(140\) −101.030 581.487i −0.0609902 0.351033i
\(141\) 955.254 + 1102.42i 0.570545 + 0.658445i
\(142\) −193.270 300.734i −0.114217 0.177726i
\(143\) −412.874 + 59.3623i −0.241442 + 0.0347142i
\(144\) 215.030 + 138.191i 0.124439 + 0.0799719i
\(145\) 1048.47 1741.31i 0.600485 0.997299i
\(146\) −912.599 + 1053.20i −0.517310 + 0.597007i
\(147\) 554.874 + 79.7788i 0.311328 + 0.0447622i
\(148\) −537.856 + 245.631i −0.298726 + 0.136424i
\(149\) −1707.04 501.232i −0.938565 0.275588i −0.223547 0.974693i \(-0.571764\pi\)
−0.715018 + 0.699106i \(0.753582\pi\)
\(150\) −723.335 407.213i −0.393734 0.221659i
\(151\) 1477.83 + 3236.01i 0.796454 + 1.74399i 0.657176 + 0.753737i \(0.271751\pi\)
0.139277 + 0.990253i \(0.455522\pi\)
\(152\) 158.546 + 22.7955i 0.0846038 + 0.0121642i
\(153\) 989.123 + 857.080i 0.522653 + 0.452881i
\(154\) −575.223 + 1259.56i −0.300992 + 0.659081i
\(155\) −2029.86 1657.55i −1.05188 0.858950i
\(156\) −15.0283 104.524i −0.00771301 0.0536452i
\(157\) 962.805 + 1498.15i 0.489428 + 0.761565i 0.994855 0.101304i \(-0.0323016\pi\)
−0.505428 + 0.862869i \(0.668665\pi\)
\(158\) −589.502 + 510.806i −0.296824 + 0.257200i
\(159\) 594.745 174.633i 0.296644 0.0871024i
\(160\) 40.5454 355.466i 0.0200337 0.175638i
\(161\) −1453.92 + 72.1008i −0.711710 + 0.0352940i
\(162\) 84.8988i 0.0411746i
\(163\) 919.251 + 3130.68i 0.441726 + 1.50438i 0.816545 + 0.577281i \(0.195886\pi\)
−0.374820 + 0.927098i \(0.622295\pi\)
\(164\) −622.699 718.633i −0.296492 0.342169i
\(165\) 860.444 + 1747.11i 0.405973 + 0.824316i
\(166\) 275.728 + 1917.73i 0.128919 + 0.896655i
\(167\) 87.4405 136.060i 0.0405170 0.0630458i −0.820404 0.571784i \(-0.806252\pi\)
0.860921 + 0.508738i \(0.169888\pi\)
\(168\) −318.875 145.625i −0.146439 0.0668764i
\(169\) −1397.33 + 1612.60i −0.636017 + 0.734003i
\(170\) 464.523 1772.04i 0.209572 0.799466i
\(171\) 132.875 + 290.955i 0.0594222 + 0.130116i
\(172\) 307.860 1048.48i 0.136478 0.464800i
\(173\) 233.784 796.196i 0.102742 0.349906i −0.892037 0.451962i \(-0.850724\pi\)
0.994779 + 0.102057i \(0.0325423\pi\)
\(174\) −501.522 1098.18i −0.218507 0.478464i
\(175\) −1538.05 596.454i −0.664377 0.257644i
\(176\) −549.680 + 634.364i −0.235419 + 0.271688i
\(177\) 265.568 + 121.281i 0.112776 + 0.0515029i
\(178\) 1490.47 2319.22i 0.627617 0.976591i
\(179\) −21.1538 147.128i −0.00883302 0.0614350i 0.984928 0.172964i \(-0.0553344\pi\)
−0.993761 + 0.111529i \(0.964425\pi\)
\(180\) 640.929 315.655i 0.265400 0.130709i
\(181\) 1789.79 + 2065.53i 0.734995 + 0.848229i 0.993025 0.117908i \(-0.0376188\pi\)
−0.258030 + 0.966137i \(0.583073\pi\)
\(182\) −59.1249 201.361i −0.0240804 0.0820102i
\(183\) 111.370i 0.0449876i
\(184\) −857.963 206.369i −0.343749 0.0826832i
\(185\) −187.298 + 1642.06i −0.0744346 + 0.652576i
\(186\) −1493.50 + 438.532i −0.588757 + 0.172875i
\(187\) −3248.17 + 2814.56i −1.27021 + 1.10065i
\(188\) 950.075 + 1478.35i 0.368571 + 0.573508i
\(189\) −268.000 1863.98i −0.103144 0.717379i
\(190\) 283.172 346.777i 0.108124 0.132410i
\(191\) 245.794 538.214i 0.0931153 0.203894i −0.857343 0.514745i \(-0.827887\pi\)
0.950459 + 0.310851i \(0.100614\pi\)
\(192\) −160.598 139.159i −0.0603652 0.0523068i
\(193\) 4168.44 + 599.331i 1.55467 + 0.223527i 0.865438 0.501016i \(-0.167040\pi\)
0.689229 + 0.724543i \(0.257949\pi\)
\(194\) −104.933 229.771i −0.0388338 0.0850342i
\(195\) −271.954 114.715i −0.0998721 0.0421277i
\(196\) 647.975 + 190.263i 0.236142 + 0.0693377i
\(197\) −2705.83 + 1235.71i −0.978592 + 0.446908i −0.839493 0.543370i \(-0.817148\pi\)
−0.139099 + 0.990278i \(0.544421\pi\)
\(198\) −1659.13 238.547i −0.595501 0.0856201i
\(199\) 193.225 222.993i 0.0688308 0.0794350i −0.720290 0.693673i \(-0.755991\pi\)
0.789121 + 0.614238i \(0.210537\pi\)
\(200\) −792.717 609.590i −0.280268 0.215522i
\(201\) −1221.28 784.866i −0.428568 0.275424i
\(202\) 620.592 89.2277i 0.216162 0.0310794i
\(203\) −1297.15 2018.40i −0.448482 0.697851i
\(204\) −712.541 822.316i −0.244548 0.282224i
\(205\) −2618.58 + 454.965i −0.892145 + 0.155005i
\(206\) −1752.15 −0.592612
\(207\) −579.591 1664.11i −0.194610 0.558762i
\(208\) 127.215i 0.0424077i
\(209\) −1007.84 + 295.928i −0.333558 + 0.0979415i
\(210\) −808.450 + 553.597i −0.265659 + 0.181913i
\(211\) −3624.09 + 2329.06i −1.18243 + 0.759902i −0.975832 0.218524i \(-0.929876\pi\)
−0.206599 + 0.978426i \(0.566239\pi\)
\(212\) 739.137 106.272i 0.239453 0.0344282i
\(213\) −320.860 + 499.268i −0.103216 + 0.160607i
\(214\) −1407.15 + 3081.23i −0.449490 + 0.984246i
\(215\) −2066.74 2248.85i −0.655585 0.713350i
\(216\) 162.458 1129.92i 0.0511753 0.355932i
\(217\) −2813.86 + 1285.05i −0.880263 + 0.402003i
\(218\) 1241.21 4227.16i 0.385620 1.31330i
\(219\) 2219.85 + 651.807i 0.684948 + 0.201119i
\(220\) 726.490 + 2230.84i 0.222636 + 0.683650i
\(221\) 92.7022 644.758i 0.0282164 0.196249i
\(222\) 741.873 + 642.836i 0.224285 + 0.194344i
\(223\) 222.544 + 101.633i 0.0668281 + 0.0305194i 0.448549 0.893758i \(-0.351941\pi\)
−0.381721 + 0.924278i \(0.624668\pi\)
\(224\) −355.271 228.319i −0.105971 0.0681036i
\(225\) 168.229 1989.83i 0.0498457 0.589579i
\(226\) 1322.25 849.762i 0.389182 0.250112i
\(227\) 1568.69 1359.28i 0.458667 0.397438i −0.394648 0.918832i \(-0.629134\pi\)
0.853316 + 0.521395i \(0.174588\pi\)
\(228\) −74.9180 255.147i −0.0217613 0.0741121i
\(229\) −4207.44 −1.21413 −0.607065 0.794652i \(-0.707653\pi\)
−0.607065 + 0.794652i \(0.707653\pi\)
\(230\) −1731.15 + 1756.88i −0.496297 + 0.503675i
\(231\) 2298.82 0.654768
\(232\) −409.754 1395.50i −0.115956 0.394908i
\(233\) −1360.57 + 1178.94i −0.382548 + 0.331479i −0.824814 0.565404i \(-0.808720\pi\)
0.442266 + 0.896884i \(0.354175\pi\)
\(234\) 213.712 137.344i 0.0597042 0.0383696i
\(235\) 4909.74 143.542i 1.36288 0.0398453i
\(236\) 295.880 + 190.150i 0.0816108 + 0.0524481i
\(237\) 1177.94 + 537.948i 0.322851 + 0.147441i
\(238\) −1634.22 1416.06i −0.445088 0.385671i
\(239\) 771.659 5367.00i 0.208847 1.45256i −0.568080 0.822973i \(-0.692314\pi\)
0.776927 0.629590i \(-0.216777\pi\)
\(240\) −564.765 + 183.920i −0.151898 + 0.0494667i
\(241\) 129.928 + 38.1502i 0.0347277 + 0.0101970i 0.299050 0.954237i \(-0.403330\pi\)
−0.264323 + 0.964434i \(0.585148\pi\)
\(242\) 800.803 2727.28i 0.212717 0.724448i
\(243\) 3376.33 1541.92i 0.891323 0.407054i
\(244\) −19.0941 + 132.802i −0.00500973 + 0.0348434i
\(245\) 1389.82 1277.28i 0.362419 0.333071i
\(246\) −655.786 + 1435.97i −0.169965 + 0.372172i
\(247\) 86.0671 133.923i 0.0221713 0.0344992i
\(248\) −1856.09 + 266.866i −0.475250 + 0.0683307i
\(249\) 2705.88 1738.96i 0.688667 0.442579i
\(250\) −2602.60 + 1019.30i −0.658412 + 0.257864i
\(251\) −6055.21 + 1777.97i −1.52271 + 0.447109i −0.932812 0.360364i \(-0.882652\pi\)
−0.589903 + 0.807474i \(0.700834\pi\)
\(252\) 843.326i 0.210812i
\(253\) 5680.00 1106.22i 1.41146 0.274892i
\(254\) 1748.19 0.431855
\(255\) −2996.39 + 520.607i −0.735847 + 0.127850i
\(256\) −167.644 193.472i −0.0409288 0.0472343i
\(257\) 2615.55 + 4069.87i 0.634838 + 0.987827i 0.998416 + 0.0562631i \(0.0179186\pi\)
−0.363578 + 0.931564i \(0.618445\pi\)
\(258\) −1795.66 + 258.177i −0.433306 + 0.0623001i
\(259\) 1641.16 + 1054.71i 0.393732 + 0.253036i
\(260\) −304.621 183.416i −0.0726608 0.0437499i
\(261\) 1901.94 2194.96i 0.451063 0.520554i
\(262\) −435.977 62.6841i −0.102804 0.0147811i
\(263\) −3508.10 + 1602.09i −0.822503 + 0.375625i −0.781787 0.623546i \(-0.785691\pi\)
−0.0407168 + 0.999171i \(0.512964\pi\)
\(264\) 1337.07 + 392.599i 0.311708 + 0.0915257i
\(265\) 811.198 1923.11i 0.188043 0.445794i
\(266\) −219.535 480.715i −0.0506036 0.110806i
\(267\) −4530.26 651.354i −1.03838 0.149297i
\(268\) −1321.73 1145.29i −0.301260 0.261043i
\(269\) 147.868 323.785i 0.0335154 0.0733885i −0.892134 0.451771i \(-0.850792\pi\)
0.925649 + 0.378383i \(0.123520\pi\)
\(270\) −2471.40 2018.10i −0.557055 0.454881i
\(271\) 1025.70 + 7133.90i 0.229914 + 1.59909i 0.698459 + 0.715650i \(0.253869\pi\)
−0.468545 + 0.883440i \(0.655222\pi\)
\(272\) −708.678 1102.72i −0.157978 0.245818i
\(273\) −263.307 + 228.157i −0.0583738 + 0.0505812i
\(274\) 3513.87 1031.77i 0.774748 0.227487i
\(275\) 6389.25 + 1476.76i 1.40104 + 0.323826i
\(276\) 280.054 + 1437.97i 0.0610772 + 0.313606i
\(277\) 4809.39i 1.04321i −0.853188 0.521603i \(-0.825334\pi\)
0.853188 0.521603i \(-0.174666\pi\)
\(278\) 1594.83 + 5431.50i 0.344071 + 1.17180i
\(279\) −2452.19 2829.98i −0.526197 0.607263i
\(280\) −1058.94 + 521.524i −0.226013 + 0.111311i
\(281\) 210.718 + 1465.57i 0.0447344 + 0.311134i 0.999887 + 0.0150210i \(0.00478151\pi\)
−0.955153 + 0.296113i \(0.904309\pi\)
\(282\) 1577.28 2454.30i 0.333070 0.518267i
\(283\) 1684.83 + 769.437i 0.353897 + 0.161619i 0.584428 0.811446i \(-0.301319\pi\)
−0.230531 + 0.973065i \(0.574046\pi\)
\(284\) −468.203 + 540.335i −0.0978266 + 0.112898i
\(285\) −718.974 188.472i −0.149433 0.0391723i
\(286\) 346.555 + 758.851i 0.0716512 + 0.156894i
\(287\) −883.872 + 3010.19i −0.181789 + 0.619115i
\(288\) 144.026 490.506i 0.0294680 0.100359i
\(289\) −747.256 1636.26i −0.152098 0.333047i
\(290\) −3932.33 1030.82i −0.796257 0.208731i
\(291\) −274.619 + 316.927i −0.0553211 + 0.0638440i
\(292\) 2535.29 + 1157.83i 0.508104 + 0.232043i
\(293\) 1815.56 2825.06i 0.362000 0.563282i −0.611708 0.791084i \(-0.709517\pi\)
0.973708 + 0.227801i \(0.0731536\pi\)
\(294\) −159.558 1109.75i −0.0316517 0.220142i
\(295\) 881.914 434.339i 0.174058 0.0857228i
\(296\) 774.425 + 893.734i 0.152069 + 0.175497i
\(297\) 2109.01 + 7182.63i 0.412045 + 1.40330i
\(298\) 3558.21i 0.691684i
\(299\) −540.795 + 690.443i −0.104599 + 0.133543i
\(300\) −373.861 + 1617.52i −0.0719497 + 0.311292i
\(301\) −3459.25 + 1015.73i −0.662418 + 0.194504i
\(302\) 5377.14 4659.32i 1.02457 0.887794i
\(303\) −562.742 875.644i −0.106695 0.166021i
\(304\) −45.5909 317.092i −0.00860138 0.0598239i
\(305\) 290.470 + 237.192i 0.0545320 + 0.0445298i
\(306\) 1087.39 2381.05i 0.203143 0.444822i
\(307\) −2637.97 2285.82i −0.490414 0.424946i 0.374226 0.927337i \(-0.377908\pi\)
−0.864640 + 0.502391i \(0.832454\pi\)
\(308\) 2741.20 + 394.125i 0.507125 + 0.0729136i
\(309\) 1208.38 + 2645.99i 0.222468 + 0.487136i
\(310\) −2037.05 + 4829.24i −0.373215 + 0.884781i
\(311\) 5349.81 + 1570.85i 0.975434 + 0.286413i 0.730338 0.683085i \(-0.239362\pi\)
0.245096 + 0.969499i \(0.421181\pi\)
\(312\) −192.113 + 87.7350i −0.0348598 + 0.0159199i
\(313\) 10099.1 + 1452.04i 1.82376 + 0.262217i 0.967234 0.253887i \(-0.0817092\pi\)
0.856526 + 0.516104i \(0.172618\pi\)
\(314\) 2332.43 2691.77i 0.419193 0.483774i
\(315\) −2019.37 1215.89i −0.361202 0.217484i
\(316\) 1312.39 + 843.424i 0.233633 + 0.150147i
\(317\) −1035.16 + 148.834i −0.183408 + 0.0263701i −0.233407 0.972379i \(-0.574987\pi\)
0.0499987 + 0.998749i \(0.484078\pi\)
\(318\) −670.236 1042.91i −0.118192 0.183910i
\(319\) 6245.78 + 7208.01i 1.09623 + 1.26511i
\(320\) −704.980 + 122.487i −0.123155 + 0.0213975i
\(321\) 5623.53 0.977804
\(322\) 957.596 + 2749.43i 0.165729 + 0.475838i
\(323\) 1640.32i 0.282569i
\(324\) −162.920 + 47.8375i −0.0279355 + 0.00820259i
\(325\) −878.391 + 464.981i −0.149921 + 0.0793615i
\(326\) 5489.76 3528.06i 0.932669 0.599390i
\(327\) −7239.60 + 1040.90i −1.22431 + 0.176030i
\(328\) −1028.18 + 1599.87i −0.173084 + 0.269324i
\(329\) 2408.54 5273.98i 0.403609 0.883780i
\(330\) 2867.84 2635.61i 0.478393 0.439654i
\(331\) 923.017 6419.72i 0.153274 1.06604i −0.757411 0.652939i \(-0.773536\pi\)
0.910684 0.413103i \(-0.135555\pi\)
\(332\) 3524.73 1609.69i 0.582665 0.266094i
\(333\) −665.319 + 2265.87i −0.109487 + 0.372879i
\(334\) −310.367 91.1320i −0.0508459 0.0149297i
\(335\) −4648.07 + 1513.68i −0.758063 + 0.246870i
\(336\) −99.7779 + 693.971i −0.0162004 + 0.112676i
\(337\) −3218.45 2788.80i −0.520238 0.450789i 0.354731 0.934969i \(-0.384573\pi\)
−0.874969 + 0.484180i \(0.839118\pi\)
\(338\) 3881.91 + 1772.81i 0.624699 + 0.285290i
\(339\) −2195.16 1410.74i −0.351695 0.226021i
\(340\) −3662.26 + 107.070i −0.584159 + 0.0170786i
\(341\) 10344.8 6648.18i 1.64282 1.05577i
\(342\) 483.469 418.928i 0.0764416 0.0662370i
\(343\) −1903.04 6481.17i −0.299576 1.02026i
\(344\) −2185.48 −0.342538
\(345\) 3847.03 + 1402.63i 0.600340 + 0.218883i
\(346\) −1659.62 −0.257866
\(347\) −2203.97 7506.05i −0.340967 1.16123i −0.934365 0.356318i \(-0.884032\pi\)
0.593398 0.804909i \(-0.297786\pi\)
\(348\) −1824.80 + 1581.20i −0.281091 + 0.243567i
\(349\) −1452.98 + 933.773i −0.222854 + 0.143220i −0.647305 0.762231i \(-0.724104\pi\)
0.424450 + 0.905451i \(0.360467\pi\)
\(350\) −277.947 + 3287.58i −0.0424483 + 0.502082i
\(351\) −954.438 613.380i −0.145140 0.0932758i
\(352\) 1527.06 + 697.386i 0.231229 + 0.105599i
\(353\) 7096.60 + 6149.24i 1.07001 + 0.927169i 0.997533 0.0702006i \(-0.0223639\pi\)
0.0724777 + 0.997370i \(0.476909\pi\)
\(354\) 83.0978 577.958i 0.0124763 0.0867744i
\(355\) 618.806 + 1900.17i 0.0925150 + 0.284086i
\(356\) −5290.39 1553.40i −0.787612 0.231264i
\(357\) −1011.40 + 3444.50i −0.149941 + 0.510651i
\(358\) −270.417 + 123.495i −0.0399218 + 0.0182317i
\(359\) −534.051 + 3714.41i −0.0785129 + 0.546069i 0.912163 + 0.409828i \(0.134411\pi\)
−0.990676 + 0.136241i \(0.956498\pi\)
\(360\) −966.879 1052.07i −0.141553 0.154025i
\(361\) −2682.80 + 5874.51i −0.391136 + 0.856467i
\(362\) 2955.23 4598.43i 0.429071 0.667647i
\(363\) −4670.86 + 671.568i −0.675362 + 0.0971024i
\(364\) −353.094 + 226.920i −0.0508438 + 0.0326753i
\(365\) 6427.76 4401.50i 0.921766 0.631191i
\(366\) 213.718 62.7533i 0.0305225 0.00896221i
\(367\) 8953.82i 1.27353i 0.771058 + 0.636765i \(0.219728\pi\)
−0.771058 + 0.636765i \(0.780272\pi\)
\(368\) 87.4131 + 1762.70i 0.0123824 + 0.249693i
\(369\) −3797.71 −0.535774
\(370\) 3256.62 565.821i 0.457578 0.0795018i
\(371\) −1613.39 1861.96i −0.225777 0.260560i
\(372\) 1683.07 + 2618.91i 0.234579 + 0.365011i
\(373\) −10499.9 + 1509.66i −1.45755 + 0.209564i −0.825077 0.565021i \(-0.808868\pi\)
−0.632470 + 0.774584i \(0.717959\pi\)
\(374\) 7231.32 + 4647.29i 0.999794 + 0.642528i
\(375\) 3334.18 + 3227.32i 0.459137 + 0.444422i
\(376\) 2301.59 2656.18i 0.315679 0.364313i
\(377\) −1430.78 205.715i −0.195461 0.0281031i
\(378\) −3425.94 + 1564.58i −0.466168 + 0.212892i
\(379\) 4361.70 + 1280.71i 0.591150 + 0.173577i 0.563606 0.826043i \(-0.309413\pi\)
0.0275431 + 0.999621i \(0.491232\pi\)
\(380\) −825.019 348.007i −0.111375 0.0469799i
\(381\) −1205.65 2640.01i −0.162119 0.354991i
\(382\) −1171.32 168.410i −0.156885 0.0225566i
\(383\) −8240.23 7140.20i −1.09936 0.952604i −0.100261 0.994961i \(-0.531968\pi\)
−0.999103 + 0.0423571i \(0.986513\pi\)
\(384\) −176.552 + 386.595i −0.0234626 + 0.0513759i
\(385\) 4895.94 5995.66i 0.648105 0.793680i
\(386\) −1198.66 8336.88i −0.158058 1.09932i
\(387\) −2359.49 3671.44i −0.309921 0.482247i
\(388\) −381.802 + 330.833i −0.0499564 + 0.0432874i
\(389\) −5240.25 + 1538.68i −0.683011 + 0.200550i −0.604789 0.796386i \(-0.706743\pi\)
−0.0782223 + 0.996936i \(0.524924\pi\)
\(390\) −66.8994 + 586.514i −0.00868611 + 0.0761521i
\(391\) −841.454 + 8997.48i −0.108834 + 1.16374i
\(392\) 1350.66i 0.174027i
\(393\) 206.013 + 701.617i 0.0264427 + 0.0900557i
\(394\) 3895.96 + 4496.18i 0.498161 + 0.574909i
\(395\) 3911.78 1926.54i 0.498287 0.245404i
\(396\) 477.093 + 3318.26i 0.0605425 + 0.421083i
\(397\) 7018.61 10921.2i 0.887289 1.38065i −0.0371461 0.999310i \(-0.511827\pi\)
0.924435 0.381339i \(-0.124537\pi\)
\(398\) −536.796 245.147i −0.0676059 0.0308746i
\(399\) −574.542 + 663.057i −0.0720879 + 0.0831939i
\(400\) −723.125 + 1864.70i −0.0903907 + 0.233087i
\(401\) −1679.99 3678.66i −0.209213 0.458114i 0.775713 0.631085i \(-0.217390\pi\)
−0.984927 + 0.172972i \(0.944663\pi\)
\(402\) −818.001 + 2785.85i −0.101488 + 0.345636i
\(403\) −525.061 + 1788.19i −0.0649011 + 0.221033i
\(404\) −520.909 1140.63i −0.0641490 0.140467i
\(405\) −120.345 + 459.087i −0.0147654 + 0.0563265i
\(406\) −3142.38 + 3626.50i −0.384123 + 0.443301i
\(407\) −7054.19 3221.54i −0.859123 0.392349i
\(408\) −1176.52 + 1830.70i −0.142761 + 0.222140i
\(409\) 1192.46 + 8293.77i 0.144165 + 1.00269i 0.925546 + 0.378636i \(0.123607\pi\)
−0.781381 + 0.624055i \(0.785484\pi\)
\(410\) 2348.55 + 4768.66i 0.282894 + 0.574409i
\(411\) −3981.48 4594.87i −0.477839 0.551456i
\(412\) 987.275 + 3362.35i 0.118057 + 0.402066i
\(413\) 1160.41i 0.138257i
\(414\) −2866.83 + 2049.89i −0.340331 + 0.243350i
\(415\) 1227.42 10760.9i 0.145184 1.27285i
\(416\) −244.125 + 71.6814i −0.0287721 + 0.00844825i
\(417\) 7102.42 6154.28i 0.834070 0.722726i
\(418\) 1135.76 + 1767.28i 0.132900 + 0.206796i
\(419\) −801.692 5575.89i −0.0934731 0.650120i −0.981660 0.190638i \(-0.938944\pi\)
0.888187 0.459482i \(-0.151965\pi\)
\(420\) 1517.88 + 1239.47i 0.176345 + 0.144000i
\(421\) 5631.25 12330.7i 0.651901 1.42746i −0.237979 0.971270i \(-0.576485\pi\)
0.889880 0.456194i \(-0.150788\pi\)
\(422\) 6511.49 + 5642.24i 0.751124 + 0.650853i
\(423\) 6947.02 + 998.830i 0.798524 + 0.114810i
\(424\) −620.412 1358.51i −0.0710610 0.155602i
\(425\) −5023.78 + 8923.78i −0.573386 + 1.01851i
\(426\) 1138.88 + 334.406i 0.129528 + 0.0380329i
\(427\) 402.659 183.888i 0.0456348 0.0208407i
\(428\) 6705.72 + 964.137i 0.757320 + 0.108886i
\(429\) 906.965 1046.69i 0.102072 0.117797i
\(430\) −3150.97 + 5233.20i −0.353380 + 0.586901i
\(431\) −8494.18 5458.88i −0.949305 0.610081i −0.0282861 0.999600i \(-0.509005\pi\)
−0.921018 + 0.389519i \(0.872641\pi\)
\(432\) −2259.84 + 324.916i −0.251682 + 0.0361864i
\(433\) −4813.28 7489.61i −0.534207 0.831242i 0.464311 0.885672i \(-0.346302\pi\)
−0.998518 + 0.0544306i \(0.982666\pi\)
\(434\) 4051.50 + 4675.68i 0.448106 + 0.517142i
\(435\) 1155.28 + 6649.28i 0.127336 + 0.732893i
\(436\) −8811.23 −0.967848
\(437\) −1100.53 + 1914.78i −0.120470 + 0.209603i
\(438\) 4627.13i 0.504779i
\(439\) −9810.45 + 2880.61i −1.06658 + 0.313175i −0.767497 0.641053i \(-0.778498\pi\)
−0.299080 + 0.954228i \(0.596680\pi\)
\(440\) 3871.59 2651.12i 0.419479 0.287244i
\(441\) 2269.01 1458.20i 0.245007 0.157456i
\(442\) −1289.52 + 185.404i −0.138769 + 0.0199520i
\(443\) −1881.34 + 2927.43i −0.201773 + 0.313964i −0.927363 0.374162i \(-0.877930\pi\)
0.725591 + 0.688127i \(0.241567\pi\)
\(444\) 815.575 1785.86i 0.0871745 0.190885i
\(445\) −11347.2 + 10428.4i −1.20879 + 1.11090i
\(446\) 69.6355 484.326i 0.00739314 0.0514204i
\(447\) 5373.40 2453.95i 0.568575 0.259659i
\(448\) −237.958 + 810.411i −0.0250948 + 0.0854650i
\(449\) 4466.12 + 1311.37i 0.469419 + 0.137834i 0.507883 0.861426i \(-0.330428\pi\)
−0.0384637 + 0.999260i \(0.512246\pi\)
\(450\) −3913.25 + 798.370i −0.409938 + 0.0836345i
\(451\) 1774.84 12344.3i 0.185309 1.28885i
\(452\) −2375.73 2058.58i −0.247223 0.214220i
\(453\) −10744.6 4906.90i −1.11441 0.508932i
\(454\) −3492.33 2244.39i −0.361020 0.232014i
\(455\) 34.2841 + 1172.66i 0.00353245 + 0.120825i
\(456\) −447.411 + 287.533i −0.0459472 + 0.0295285i
\(457\) −5776.73 + 5005.56i −0.591299 + 0.512364i −0.898322 0.439339i \(-0.855213\pi\)
0.307022 + 0.951702i \(0.400667\pi\)
\(458\) 2370.75 + 8074.02i 0.241873 + 0.823743i
\(459\) −11690.2 −1.18878
\(460\) 4346.87 + 2332.10i 0.440595 + 0.236380i
\(461\) −8174.26 −0.825842 −0.412921 0.910767i \(-0.635492\pi\)
−0.412921 + 0.910767i \(0.635492\pi\)
\(462\) −1295.31 4411.41i −0.130440 0.444236i
\(463\) 10979.1 9513.41i 1.10203 0.954915i 0.102823 0.994700i \(-0.467213\pi\)
0.999208 + 0.0397842i \(0.0126671\pi\)
\(464\) −2447.05 + 1572.63i −0.244831 + 0.157343i
\(465\) 8697.68 254.287i 0.867409 0.0253597i
\(466\) 3028.99 + 1946.62i 0.301106 + 0.193509i
\(467\) −1809.76 826.488i −0.179327 0.0818957i 0.323729 0.946150i \(-0.395064\pi\)
−0.503055 + 0.864254i \(0.667791\pi\)
\(468\) −383.981 332.722i −0.0379264 0.0328634i
\(469\) −821.182 + 5711.44i −0.0808500 + 0.562324i
\(470\) −3041.92 9340.84i −0.298539 0.916725i
\(471\) −5673.51 1665.89i −0.555035 0.162973i
\(472\) 198.178 674.933i 0.0193260 0.0658184i
\(473\) 13036.6 5953.60i 1.26728 0.578746i
\(474\) 368.586 2563.57i 0.0357167 0.248415i
\(475\) −2022.80 + 1473.79i −0.195395 + 0.142362i
\(476\) −1796.58 + 3933.95i −0.172996 + 0.378808i
\(477\) 1612.39 2508.92i 0.154772 0.240829i
\(478\) −10734.0 + 1543.32i −1.02712 + 0.147677i
\(479\) 764.401 491.251i 0.0729152 0.0468598i −0.503675 0.863893i \(-0.668019\pi\)
0.576590 + 0.817033i \(0.304383\pi\)
\(480\) 671.166 + 980.144i 0.0638217 + 0.0932026i
\(481\) 1127.72 331.129i 0.106902 0.0313892i
\(482\) 270.826i 0.0255929i
\(483\) 3491.61 3342.27i 0.328931 0.314862i
\(484\) −5684.84 −0.533888
\(485\) 241.718 + 1391.22i 0.0226306 + 0.130252i
\(486\) −4861.36 5610.31i −0.453736 0.523639i
\(487\) 3549.41 + 5522.98i 0.330265 + 0.513902i 0.966184 0.257854i \(-0.0830152\pi\)
−0.635919 + 0.771756i \(0.719379\pi\)
\(488\) 265.605 38.1882i 0.0246380 0.00354241i
\(489\) −9113.91 5857.15i −0.842833 0.541656i
\(490\) −3234.20 1947.35i −0.298176 0.179535i
\(491\) 610.856 704.965i 0.0561457 0.0647956i −0.726982 0.686657i \(-0.759078\pi\)
0.783128 + 0.621861i \(0.213623\pi\)
\(492\) 3125.12 + 449.325i 0.286365 + 0.0411730i
\(493\) −13548.2 + 6187.27i −1.23769 + 0.565234i
\(494\) −305.492 89.7006i −0.0278234 0.00816967i
\(495\) 8633.54 + 3641.77i 0.783936 + 0.330677i
\(496\) 1557.96 + 3411.45i 0.141037 + 0.308828i
\(497\) 2334.89 + 335.706i 0.210732 + 0.0302987i
\(498\) −4861.71 4212.70i −0.437467 0.379067i
\(499\) 764.425 1673.86i 0.0685779 0.150165i −0.872239 0.489080i \(-0.837333\pi\)
0.940817 + 0.338915i \(0.110060\pi\)
\(500\) 3422.49 + 4420.02i 0.306117 + 0.395339i
\(501\) 76.4249 + 531.547i 0.00681519 + 0.0474007i
\(502\) 6823.80 + 10618.0i 0.606695 + 0.944036i
\(503\) −7852.61 + 6804.33i −0.696085 + 0.603161i −0.929327 0.369258i \(-0.879612\pi\)
0.233242 + 0.972419i \(0.425067\pi\)
\(504\) −1618.33 + 475.185i −0.143028 + 0.0419969i
\(505\) −3482.31 397.202i −0.306853 0.0350005i
\(506\) −5323.31 10276.5i −0.467688 0.902860i
\(507\) 7084.86i 0.620610i
\(508\) −985.043 3354.75i −0.0860319 0.292998i
\(509\) 11518.3 + 13292.8i 1.00302 + 1.15755i 0.987492 + 0.157672i \(0.0503989\pi\)
0.0155326 + 0.999879i \(0.495056\pi\)
\(510\) 2687.40 + 5456.68i 0.233333 + 0.473776i
\(511\) −1308.68 9102.09i −0.113293 0.787971i
\(512\) −276.808 + 430.722i −0.0238932 + 0.0371785i
\(513\) −2598.81 1186.84i −0.223666 0.102145i
\(514\) 6336.25 7312.43i 0.543736 0.627504i
\(515\) 9474.68 + 2483.69i 0.810688 + 0.212514i
\(516\) 1507.23 + 3300.38i 0.128589 + 0.281572i
\(517\) −6493.32 + 22114.2i −0.552371 + 1.88120i
\(518\) 1099.24 3743.65i 0.0932387 0.317542i
\(519\) 1144.57 + 2506.25i 0.0968033 + 0.211970i
\(520\) −180.329 + 687.913i −0.0152076 + 0.0580134i
\(521\) −6154.61 + 7102.80i −0.517540 + 0.597273i −0.953013 0.302928i \(-0.902036\pi\)
0.435473 + 0.900202i \(0.356581\pi\)
\(522\) −5283.78 2413.02i −0.443036 0.202328i
\(523\) 1579.15 2457.21i 0.132030 0.205442i −0.768944 0.639316i \(-0.779217\pi\)
0.900973 + 0.433874i \(0.142854\pi\)
\(524\) 125.368 + 871.955i 0.0104518 + 0.0726937i
\(525\) 5156.39 1847.57i 0.428654 0.153589i
\(526\) 5051.08 + 5829.26i 0.418703 + 0.483209i
\(527\) 5410.16 + 18425.3i 0.447192 + 1.52300i
\(528\) 2787.03i 0.229716i
\(529\) 7018.85 9938.39i 0.576876 0.816832i
\(530\) −4147.50 473.075i −0.339916 0.0387718i
\(531\) 1347.79 395.747i 0.110149 0.0323427i
\(532\) −798.785 + 692.151i −0.0650972 + 0.0564070i
\(533\) 1021.87 + 1590.07i 0.0830437 + 0.129219i
\(534\) 1302.71 + 9060.53i 0.105569 + 0.734246i
\(535\) 11976.8 14667.0i 0.967854 1.18525i
\(536\) −1453.04 + 3181.72i −0.117093 + 0.256398i
\(537\) 372.990 + 323.198i 0.0299734 + 0.0259721i
\(538\) −704.657 101.314i −0.0564682 0.00811891i
\(539\) 3679.42 + 8056.81i 0.294033 + 0.643843i
\(540\) −2480.16 + 5879.72i −0.197647 + 0.468561i
\(541\) −6731.34 1976.50i −0.534940 0.157073i 0.00309458 0.999995i \(-0.499015\pi\)
−0.538035 + 0.842923i \(0.680833\pi\)
\(542\) 13111.9 5988.00i 1.03912 0.474551i
\(543\) −8982.37 1291.47i −0.709890 0.102067i
\(544\) −1716.80 + 1981.29i −0.135307 + 0.156153i
\(545\) −12703.8 + 21098.8i −0.998481 + 1.65830i
\(546\) 586.193 + 376.724i 0.0459464 + 0.0295280i
\(547\) −12356.5 + 1776.60i −0.965860 + 0.138870i −0.607157 0.794582i \(-0.707690\pi\)
−0.358703 + 0.933452i \(0.616781\pi\)
\(548\) −3959.89 6161.71i −0.308683 0.480320i
\(549\) 350.905 + 404.966i 0.0272792 + 0.0314819i
\(550\) −766.232 13093.0i −0.0594040 1.01507i
\(551\) −3640.03 −0.281435
\(552\) 2601.64 1347.66i 0.200603 0.103914i
\(553\) 5147.08i 0.395797i
\(554\) −9229.15 + 2709.92i −0.707778 + 0.207822i
\(555\) −3100.42 4527.73i −0.237127 0.346291i
\(556\) 9524.33 6120.92i 0.726478 0.466879i
\(557\) −19333.1 + 2779.69i −1.47068 + 0.211452i −0.830607 0.556858i \(-0.812007\pi\)
−0.640077 + 0.768311i \(0.721098\pi\)
\(558\) −4048.97 + 6300.32i −0.307180 + 0.477981i
\(559\) −902.316 + 1975.80i −0.0682717 + 0.149494i
\(560\) 1597.47 + 1738.23i 0.120546 + 0.131167i
\(561\) 2030.92 14125.3i 0.152844 1.06305i
\(562\) 2693.68 1230.16i 0.202182 0.0923333i
\(563\) −3436.43 + 11703.4i −0.257244 + 0.876092i 0.725042 + 0.688704i \(0.241820\pi\)
−0.982286 + 0.187388i \(0.939998\pi\)
\(564\) −5598.50 1643.87i −0.417978 0.122729i
\(565\) −8354.59 + 2720.74i −0.622089 + 0.202588i
\(566\) 527.195 3666.72i 0.0391513 0.272303i
\(567\) 423.382 + 366.863i 0.0313587 + 0.0271725i
\(568\) 1300.71 + 594.015i 0.0960857 + 0.0438809i
\(569\) −3903.20 2508.43i −0.287576 0.184814i 0.388897 0.921281i \(-0.372856\pi\)
−0.676473 + 0.736467i \(0.736492\pi\)
\(570\) 43.4419 + 1485.90i 0.00319225 + 0.109188i
\(571\) −5839.54 + 3752.85i −0.427981 + 0.275047i −0.736848 0.676059i \(-0.763687\pi\)
0.308867 + 0.951105i \(0.400050\pi\)
\(572\) 1260.95 1092.62i 0.0921731 0.0798685i
\(573\) 553.486 + 1885.00i 0.0403529 + 0.137429i
\(574\) 6274.55 0.456262
\(575\) 11851.5 7046.35i 0.859552 0.511049i
\(576\) −1022.43 −0.0739603
\(577\) 3237.96 + 11027.5i 0.233619 + 0.795632i 0.989947 + 0.141439i \(0.0451731\pi\)
−0.756328 + 0.654192i \(0.773009\pi\)
\(578\) −2718.91 + 2355.95i −0.195661 + 0.169541i
\(579\) −11763.2 + 7559.73i −0.844319 + 0.542611i
\(580\) 237.600 + 8126.92i 0.0170100 + 0.581814i
\(581\) −10755.0 6911.82i −0.767974 0.493547i
\(582\) 762.917 + 348.412i 0.0543366 + 0.0248147i
\(583\) 7401.62 + 6413.54i 0.525804 + 0.455612i
\(584\) 793.307 5517.57i 0.0562111 0.390957i
\(585\) −1350.33 + 439.745i −0.0954345 + 0.0310790i
\(586\) −6444.25 1892.20i −0.454283 0.133389i
\(587\) 2847.71 9698.42i 0.200235 0.681936i −0.796748 0.604312i \(-0.793448\pi\)
0.996983 0.0776247i \(-0.0247336\pi\)
\(588\) −2039.69 + 931.493i −0.143053 + 0.0653301i
\(589\) −667.900 + 4645.35i −0.0467239 + 0.324972i
\(590\) −1330.42 1447.65i −0.0928347 0.101015i
\(591\) 4102.97 8984.26i 0.285573 0.625318i
\(592\) 1278.70 1989.70i 0.0887742 0.138135i
\(593\) −8882.49 + 1277.11i −0.615110 + 0.0884395i −0.442826 0.896608i \(-0.646024\pi\)
−0.172285 + 0.985047i \(0.555115\pi\)
\(594\) 12595.0 8094.33i 0.870000 0.559115i
\(595\) 6829.72 + 9973.84i 0.470573 + 0.687206i
\(596\) 6828.16 2004.93i 0.469283 0.137794i
\(597\) 979.703i 0.0671635i
\(598\) 1629.67 + 648.737i 0.111442 + 0.0443626i
\(599\) 8009.80 0.546363 0.273181 0.961963i \(-0.411924\pi\)
0.273181 + 0.961963i \(0.411924\pi\)
\(600\) 3314.66 193.981i 0.225534 0.0131988i
\(601\) −221.610 255.752i −0.0150411 0.0173583i 0.748179 0.663497i \(-0.230928\pi\)
−0.763220 + 0.646138i \(0.776383\pi\)
\(602\) 3898.33 + 6065.93i 0.263927 + 0.410679i
\(603\) −6913.77 + 994.050i −0.466916 + 0.0671324i
\(604\) −11971.0 7693.30i −0.806446 0.518271i
\(605\) −8196.27 + 13612.5i −0.550786 + 0.914758i
\(606\) −1363.26 + 1573.29i −0.0913841 + 0.105463i
\(607\) 3064.00 + 440.536i 0.204883 + 0.0294577i 0.243992 0.969777i \(-0.421543\pi\)
−0.0391093 + 0.999235i \(0.512452\pi\)
\(608\) −582.806 + 266.159i −0.0388749 + 0.0177536i
\(609\) 7643.68 + 2244.39i 0.508600 + 0.149339i
\(610\) 291.499 691.057i 0.0193483 0.0458690i
\(611\) −1451.08 3177.42i −0.0960791 0.210384i
\(612\) −5181.90 745.045i −0.342265 0.0492102i
\(613\) 5321.51 + 4611.12i 0.350626 + 0.303819i 0.812311 0.583225i \(-0.198209\pi\)
−0.461685 + 0.887044i \(0.652755\pi\)
\(614\) −2900.05 + 6350.21i −0.190613 + 0.417384i
\(615\) 5581.65 6835.38i 0.365974 0.448177i
\(616\) −788.251 5482.40i −0.0515577 0.358592i
\(617\) 365.090 + 568.091i 0.0238217 + 0.0370672i 0.852960 0.521976i \(-0.174805\pi\)
−0.829139 + 0.559043i \(0.811169\pi\)
\(618\) 4396.73 3809.79i 0.286185 0.247981i
\(619\) 19185.5 5633.39i 1.24577 0.365791i 0.408590 0.912718i \(-0.366020\pi\)
0.837181 + 0.546926i \(0.184202\pi\)
\(620\) 10415.0 + 1187.97i 0.674642 + 0.0769515i
\(621\) 13646.2 + 7843.19i 0.881808 + 0.506822i
\(622\) 11151.3i 0.718855i
\(623\) 5125.15 + 17454.6i 0.329590 + 1.12248i
\(624\) 276.611 + 319.226i 0.0177457 + 0.0204796i
\(625\) 15518.3 1822.58i 0.993174 0.116645i
\(626\) −2904.07 20198.3i −0.185415 1.28959i
\(627\) 1885.55 2933.98i 0.120099 0.186877i
\(628\) −6479.70 2959.18i −0.411733 0.188032i
\(629\) 7930.67 9152.48i 0.502729 0.580180i
\(630\) −1195.43 + 4560.26i −0.0755983 + 0.288389i
\(631\) −3316.81 7262.80i −0.209255 0.458205i 0.775681 0.631126i \(-0.217407\pi\)
−0.984936 + 0.172921i \(0.944680\pi\)
\(632\) 879.031 2993.71i 0.0553259 0.188423i
\(633\) 4029.86 13724.5i 0.253037 0.861766i
\(634\) 868.886 + 1902.60i 0.0544288 + 0.119183i
\(635\) −9453.26 2478.08i −0.590774 0.154865i
\(636\) −1623.67 + 1873.82i −0.101231 + 0.116826i
\(637\) −1221.07 557.646i −0.0759509 0.0346856i
\(638\) 10312.8 16047.0i 0.639949 0.995780i
\(639\) 406.376 + 2826.41i 0.0251580 + 0.174978i
\(640\) 632.282 + 1283.83i 0.0390518 + 0.0792935i
\(641\) −11938.8 13778.1i −0.735655 0.848991i 0.257441 0.966294i \(-0.417121\pi\)
−0.993096 + 0.117303i \(0.962575\pi\)
\(642\) −3168.67 10791.5i −0.194793 0.663405i
\(643\) 30210.8i 1.85287i 0.376454 + 0.926435i \(0.377143\pi\)
−0.376454 + 0.926435i \(0.622857\pi\)
\(644\) 4736.55 3386.82i 0.289823 0.207235i
\(645\) 10075.9 + 1149.29i 0.615101 + 0.0701600i
\(646\) −3147.75 + 924.263i −0.191713 + 0.0562920i
\(647\) −3321.42 + 2878.02i −0.201821 + 0.174879i −0.749907 0.661543i \(-0.769902\pi\)
0.548086 + 0.836422i \(0.315357\pi\)
\(648\) 183.599 + 285.686i 0.0111303 + 0.0173191i
\(649\) 656.477 + 4565.90i 0.0397057 + 0.276159i
\(650\) 1387.23 + 1423.62i 0.0837104 + 0.0859061i
\(651\) 4266.77 9342.93i 0.256879 0.562486i
\(652\) −9863.58 8546.84i −0.592466 0.513375i
\(653\) 29923.6 + 4302.37i 1.79326 + 0.257832i 0.956916 0.290366i \(-0.0937771\pi\)
0.836348 + 0.548198i \(0.184686\pi\)
\(654\) 6076.73 + 13306.2i 0.363332 + 0.795585i
\(655\) 2268.68 + 956.965i 0.135335 + 0.0570866i
\(656\) 3649.48 + 1071.58i 0.217208 + 0.0637779i
\(657\) 10125.6 4624.19i 0.601272 0.274592i
\(658\) −11477.8 1650.26i −0.680018 0.0977718i
\(659\) 16083.2 18561.0i 0.950704 1.09717i −0.0444670 0.999011i \(-0.514159\pi\)
0.995171 0.0981597i \(-0.0312956\pi\)
\(660\) −6673.63 4018.27i −0.393592 0.236987i
\(661\) 24809.6 + 15944.1i 1.45988 + 0.938208i 0.998704 + 0.0508990i \(0.0162086\pi\)
0.461176 + 0.887309i \(0.347428\pi\)
\(662\) −12839.4 + 1846.03i −0.753806 + 0.108381i
\(663\) 1169.31 + 1819.48i 0.0684951 + 0.106580i
\(664\) −5075.04 5856.91i −0.296611 0.342307i
\(665\) 505.709 + 2910.64i 0.0294895 + 0.169729i
\(666\) 4723.05 0.274797
\(667\) 19966.3 + 1867.27i 1.15907 + 0.108397i
\(668\) 646.939i 0.0374713i
\(669\) −779.424 + 228.859i −0.0450437 + 0.0132260i
\(670\) 5523.76 + 8066.67i 0.318510 + 0.465139i
\(671\) −1480.32 + 951.346i −0.0851672 + 0.0547337i
\(672\) 1387.94 199.556i 0.0796741 0.0114554i
\(673\) 18301.2 28477.3i 1.04823 1.63108i 0.317717 0.948186i \(-0.397084\pi\)
0.730516 0.682896i \(-0.239280\pi\)
\(674\) −3538.19 + 7747.56i −0.202205 + 0.442767i
\(675\) 10503.3 + 14416.1i 0.598924 + 0.822036i
\(676\) 1214.68 8448.25i 0.0691099 0.480670i
\(677\) −27337.2 + 12484.5i −1.55193 + 0.708741i −0.992738 0.120300i \(-0.961615\pi\)
−0.559189 + 0.829040i \(0.688887\pi\)
\(678\) −1470.30 + 5007.39i −0.0832840 + 0.283639i
\(679\) 1599.28 + 469.592i 0.0903901 + 0.0265409i
\(680\) 2269.02 + 6967.50i 0.127960 + 0.392929i
\(681\) −980.821 + 6821.76i −0.0551911 + 0.383863i
\(682\) −18586.7 16105.5i −1.04358 0.904266i
\(683\) −25314.9 11560.9i −1.41822 0.647681i −0.448926 0.893569i \(-0.648193\pi\)
−0.969298 + 0.245888i \(0.920921\pi\)
\(684\) −1076.34 691.719i −0.0601677 0.0386674i
\(685\) −20463.7 + 598.280i −1.14143 + 0.0333709i
\(686\) −11365.0 + 7303.82i −0.632531 + 0.406503i
\(687\) 10557.9 9148.46i 0.586330 0.508058i
\(688\) 1231.44 + 4193.91i 0.0682388 + 0.232400i
\(689\) −1484.32 −0.0820727
\(690\) 523.950 8172.73i 0.0289079 0.450914i
\(691\) 8229.13 0.453040 0.226520 0.974006i \(-0.427265\pi\)
0.226520 + 0.974006i \(0.427265\pi\)
\(692\) 935.137 + 3184.78i 0.0513708 + 0.174953i
\(693\) 8359.00 7243.12i 0.458200 0.397032i
\(694\) −13162.1 + 8458.79i −0.719925 + 0.462668i
\(695\) −924.778 31631.3i −0.0504731 1.72639i
\(696\) 4062.51 + 2610.82i 0.221249 + 0.142188i
\(697\) 17715.6 + 8090.43i 0.962733 + 0.439665i
\(698\) 2610.60 + 2262.10i 0.141565 + 0.122667i
\(699\) 850.693 5916.70i 0.0460317 0.320157i
\(700\) 6465.44 1319.06i 0.349101 0.0712226i
\(701\) 6818.52 + 2002.10i 0.367378 + 0.107872i 0.460211 0.887810i \(-0.347774\pi\)
−0.0928325 + 0.995682i \(0.529592\pi\)
\(702\) −639.275 + 2177.17i −0.0343702 + 0.117054i
\(703\) 2692.25 1229.51i 0.144438 0.0659627i
\(704\) 477.827 3323.36i 0.0255807 0.177918i
\(705\) −12008.1 + 11035.7i −0.641490 + 0.589544i
\(706\) 7801.61 17083.2i 0.415889 0.910670i
\(707\) −2236.72 + 3480.41i −0.118982 + 0.185140i
\(708\) −1155.92 + 166.196i −0.0613587 + 0.00882206i
\(709\) −1995.42 + 1282.38i −0.105698 + 0.0679278i −0.592422 0.805628i \(-0.701828\pi\)
0.486724 + 0.873556i \(0.338192\pi\)
\(710\) 3297.72 2258.16i 0.174312 0.119362i
\(711\) 5978.22 1755.36i 0.315331 0.0925896i
\(712\) 11027.5i 0.580438i
\(713\) 6046.54 25138.0i 0.317594 1.32037i
\(714\) 7179.83 0.376328
\(715\) −798.306 4594.70i −0.0417552 0.240325i
\(716\) 389.357 + 449.342i 0.0203226 + 0.0234535i
\(717\) 9733.41 + 15145.5i 0.506975 + 0.788868i
\(718\) 7428.81 1068.10i 0.386129 0.0555170i
\(719\) 21967.4 + 14117.6i 1.13943 + 0.732265i 0.967506 0.252846i \(-0.0813667\pi\)
0.171920 + 0.985111i \(0.445003\pi\)
\(720\) −1474.11 + 2448.23i −0.0763012 + 0.126723i
\(721\) 7571.35 8737.81i 0.391084 0.451336i
\(722\) 12784.8 + 1838.17i 0.659002 + 0.0947502i
\(723\) −408.984 + 186.777i −0.0210377 + 0.00960761i
\(724\) −10489.5 3080.00i −0.538452 0.158104i
\(725\) 19802.7 + 11148.3i 1.01442 + 0.571084i
\(726\) 3920.59 + 8584.90i 0.200423 + 0.438864i
\(727\) 2610.42 + 375.321i 0.133171 + 0.0191470i 0.208578 0.978006i \(-0.433117\pi\)
−0.0754072 + 0.997153i \(0.524026\pi\)
\(728\) 634.411 + 549.721i 0.0322979 + 0.0279863i
\(729\) −5595.79 + 12253.1i −0.284296 + 0.622521i
\(730\) −12068.2 9854.70i −0.611870 0.499642i
\(731\) 3185.13 + 22153.1i 0.161158 + 1.12088i
\(732\) −240.845 374.763i −0.0121611 0.0189230i
\(733\) −16074.6 + 13928.8i −0.810001 + 0.701870i −0.957890 0.287134i \(-0.907297\pi\)
0.147890 + 0.989004i \(0.452752\pi\)
\(734\) 17182.3 5045.16i 0.864044 0.253706i
\(735\) −710.279 + 6227.10i −0.0356450 + 0.312503i
\(736\) 3333.34 1160.96i 0.166941 0.0581436i
\(737\) 22937.5i 1.14642i
\(738\) 2139.88 + 7287.75i 0.106734 + 0.363504i
\(739\) 9741.02 + 11241.7i 0.484884 + 0.559586i 0.944491 0.328536i \(-0.106555\pi\)
−0.459607 + 0.888122i \(0.652010\pi\)
\(740\) −2920.80 5930.59i −0.145095 0.294612i
\(741\) 75.2245 + 523.198i 0.00372934 + 0.0259381i
\(742\) −2663.97 + 4145.23i −0.131803 + 0.205089i
\(743\) 13032.8 + 5951.90i 0.643511 + 0.293881i 0.710314 0.703885i \(-0.248553\pi\)
−0.0668036 + 0.997766i \(0.521280\pi\)
\(744\) 4077.30 4705.46i 0.200916 0.231869i
\(745\) 5043.81 19240.9i 0.248042 0.946218i
\(746\) 8813.35 + 19298.6i 0.432547 + 0.947145i
\(747\) 4360.03 14848.9i 0.213555 0.727300i
\(748\) 4843.49 16495.4i 0.236758 0.806325i
\(749\) −9285.26 20331.9i −0.452972 0.991870i
\(750\) 4314.50 8216.73i 0.210058 0.400043i
\(751\) −7707.67 + 8895.13i −0.374510 + 0.432208i −0.911449 0.411414i \(-0.865035\pi\)
0.536939 + 0.843621i \(0.319581\pi\)
\(752\) −6394.03 2920.06i −0.310062 0.141600i
\(753\) 11328.6 17627.7i 0.548258 0.853106i
\(754\) 411.430 + 2861.56i 0.0198719 + 0.138212i
\(755\) −35681.4 + 17572.9i −1.71997 + 0.847079i
\(756\) 4932.80 + 5692.75i 0.237307 + 0.273867i
\(757\) −9677.51 32958.6i −0.464644 1.58243i −0.775097 0.631842i \(-0.782299\pi\)
0.310454 0.950589i \(-0.399519\pi\)
\(758\) 9091.68i 0.435653i
\(759\) −11847.7 + 15126.2i −0.566594 + 0.723382i
\(760\) −202.950 + 1779.29i −0.00968656 + 0.0849231i
\(761\) 24736.2 7263.19i 1.17830 0.345980i 0.366781 0.930307i \(-0.380460\pi\)
0.811518 + 0.584328i \(0.198642\pi\)
\(762\) −4386.79 + 3801.18i −0.208552 + 0.180711i
\(763\) 15717.0 + 24456.1i 0.745731 + 1.16038i
\(764\) 336.821 + 2342.64i 0.0159499 + 0.110934i
\(765\) −9255.18 + 11334.0i −0.437414 + 0.535664i
\(766\) −9058.87 + 19836.1i −0.427298 + 0.935652i
\(767\) −528.355 457.823i −0.0248733 0.0215528i
\(768\) 841.352 + 120.968i 0.0395308 + 0.00568368i
\(769\) −7522.17 16471.3i −0.352739 0.772391i −0.999949 0.0100794i \(-0.996792\pi\)
0.647210 0.762312i \(-0.275936\pi\)
\(770\) −14264.3 6016.91i −0.667596 0.281603i
\(771\) −15412.6 4525.55i −0.719937 0.211393i
\(772\) −15322.9 + 6997.75i −0.714359 + 0.326237i
\(773\) −36983.1 5317.37i −1.72081 0.247416i −0.790052 0.613040i \(-0.789946\pi\)
−0.930763 + 0.365624i \(0.880856\pi\)
\(774\) −5715.95 + 6596.55i −0.265446 + 0.306341i
\(775\) 17860.8 23226.4i 0.827843 1.07654i
\(776\) 849.997 + 546.260i 0.0393210 + 0.0252701i
\(777\) −6411.53 + 921.839i −0.296026 + 0.0425622i
\(778\) 5905.40 + 9188.98i 0.272132 + 0.423446i
\(779\) 3116.93 + 3597.12i 0.143357 + 0.165443i
\(780\) 1163.21 202.101i 0.0533969 0.00927742i
\(781\) −9377.05 −0.429625
\(782\) 17740.2 3455.03i 0.811237 0.157994i
\(783\) 25941.7i 1.18401i
\(784\) −2591.90 + 761.051i −0.118071 + 0.0346688i
\(785\) −16428.1 + 11249.4i −0.746936 + 0.511474i
\(786\) 1230.31 790.673i 0.0558317 0.0358809i
\(787\) 10708.7 1539.68i 0.485036 0.0697376i 0.104541 0.994521i \(-0.466663\pi\)
0.380495 + 0.924783i \(0.375754\pi\)
\(788\) 6432.86 10009.7i 0.290814 0.452515i
\(789\) 5319.48 11648.0i 0.240023 0.525578i
\(790\) −5901.16 6421.12i −0.265764 0.289181i
\(791\) −1476.02 + 10265.9i −0.0663479 + 0.461460i
\(792\) 6098.86 2785.26i 0.273628 0.124962i
\(793\) 75.1355 255.888i 0.00336462 0.0114588i
\(794\) −24912.3 7314.91i −1.11348 0.326948i
\(795\) 2145.94 + 6589.55i 0.0957342 + 0.293971i
\(796\) −167.967 + 1168.24i −0.00747918 + 0.0520189i
\(797\) −26898.2 23307.5i −1.19546 1.03588i −0.998460 0.0554724i \(-0.982334\pi\)
−0.197003 0.980403i \(-0.563121\pi\)
\(798\) 1596.13 + 728.928i 0.0708050 + 0.0323356i
\(799\) −30278.6 19458.9i −1.34065 0.861584i
\(800\) 3985.78 + 336.976i 0.176148 + 0.0148924i
\(801\) −18525.3 + 11905.5i −0.817177 + 0.525168i
\(802\) −6112.68 + 5296.67i −0.269135 + 0.233207i
\(803\) 10298.6 + 35073.9i 0.452591 + 1.54138i
\(804\) 5806.93 0.254720
\(805\) −1280.81 16224.9i −0.0560777 0.710374i
\(806\) 3727.37 0.162892
\(807\) 332.973 + 1134.00i 0.0145244 + 0.0494656i
\(808\) −1895.34 + 1642.32i −0.0825221 + 0.0715058i
\(809\) 16096.6 10344.7i 0.699539 0.449566i −0.141927 0.989877i \(-0.545330\pi\)
0.841465 + 0.540311i \(0.181693\pi\)
\(810\) 948.792 27.7390i 0.0411570 0.00120327i
\(811\) −15961.2 10257.6i −0.691088 0.444135i 0.147385 0.989079i \(-0.452914\pi\)
−0.838472 + 0.544944i \(0.816551\pi\)
\(812\) 8729.83 + 3986.78i 0.377287 + 0.172301i
\(813\) −18085.4 15671.1i −0.780177 0.676027i
\(814\) −2207.30 + 15352.1i −0.0950441 + 0.661046i
\(815\) −34686.8 + 11296.0i −1.49083 + 0.485500i
\(816\) 4176.02 + 1226.19i 0.179154 + 0.0526045i
\(817\) −1541.00 + 5248.16i −0.0659886 + 0.224737i
\(818\) 15243.7 6961.57i 0.651570 0.297562i
\(819\) −238.564 + 1659.25i −0.0101784 + 0.0707924i
\(820\) 7827.67 7193.81i 0.333359 0.306364i
\(821\) −4580.96 + 10030.9i −0.194734 + 0.426408i −0.981660 0.190639i \(-0.938944\pi\)
0.786926 + 0.617047i \(0.211671\pi\)
\(822\) −6574.07 + 10229.5i −0.278950 + 0.434055i
\(823\) −16762.8 + 2410.13i −0.709982 + 0.102080i −0.487839 0.872934i \(-0.662215\pi\)
−0.222144 + 0.975014i \(0.571305\pi\)
\(824\) 5896.01 3789.13i 0.249268 0.160195i
\(825\) −19243.8 + 10186.8i −0.812099 + 0.429889i
\(826\) −2226.81 + 653.851i −0.0938023 + 0.0275429i
\(827\) 8885.67i 0.373622i 0.982396 + 0.186811i \(0.0598152\pi\)
−0.982396 + 0.186811i \(0.940185\pi\)
\(828\) 5549.08 + 4346.36i 0.232903 + 0.182423i
\(829\) −33325.1 −1.39618 −0.698088 0.716012i \(-0.745965\pi\)
−0.698088 + 0.716012i \(0.745965\pi\)
\(830\) −21341.6 + 3708.00i −0.892504 + 0.155068i
\(831\) 10457.3 + 12068.4i 0.436534 + 0.503787i
\(832\) 275.111 + 428.082i 0.0114637 + 0.0178378i
\(833\) −13690.9 + 1968.46i −0.569464 + 0.0818765i
\(834\) −15812.0 10161.7i −0.656503 0.421909i
\(835\) 1549.12 + 932.742i 0.0642029 + 0.0386573i
\(836\) 2751.43 3175.32i 0.113828 0.131364i
\(837\) 33106.3 + 4759.97i 1.36717 + 0.196570i
\(838\) −10248.3 + 4680.26i −0.422462 + 0.192932i
\(839\) 17801.5 + 5227.00i 0.732511 + 0.215085i 0.626655 0.779297i \(-0.284424\pi\)
0.105856 + 0.994381i \(0.466242\pi\)
\(840\) 1523.26 3611.18i 0.0625683 0.148331i
\(841\) 3598.60 + 7879.83i 0.147550 + 0.323089i
\(842\) −26835.5 3858.36i −1.09835 0.157919i
\(843\) −3715.43 3219.44i −0.151799 0.131534i
\(844\) 7158.38 15674.7i 0.291945 0.639270i
\(845\) −18478.3 15089.1i −0.752276 0.614295i
\(846\) −1997.66 13894.0i −0.0811832 0.564641i
\(847\) 10140.3 + 15778.6i 0.411363 + 0.640094i
\(848\) −2257.39 + 1956.04i −0.0914139 + 0.0792106i
\(849\) −5900.84 + 1732.64i −0.238535 + 0.0700402i
\(850\) 19955.3 + 4612.32i 0.805250 + 0.186119i
\(851\) −15398.2 + 5363.02i −0.620263 + 0.216031i
\(852\) 2373.92i 0.0954568i
\(853\) −11249.3 38311.6i −0.451546 1.53783i −0.799707 0.600391i \(-0.795012\pi\)
0.348161 0.937435i \(-0.386806\pi\)
\(854\) −579.764 669.083i −0.0232308 0.0268098i
\(855\) −3208.18 + 1580.02i −0.128324 + 0.0631993i
\(856\) −1928.27 13411.4i −0.0769942 0.535506i
\(857\) 20327.8 31630.6i 0.810249 1.26077i −0.151940 0.988390i \(-0.548552\pi\)
0.962189 0.272383i \(-0.0878117\pi\)
\(858\) −2519.63 1150.68i −0.100255 0.0457850i
\(859\) 4767.95 5502.50i 0.189383 0.218560i −0.653115 0.757258i \(-0.726538\pi\)
0.842499 + 0.538698i \(0.181084\pi\)
\(860\) 11817.9 + 3097.94i 0.468590 + 0.122836i
\(861\) −4327.29 9475.43i −0.171282 0.375055i
\(862\) −5689.34 + 19376.1i −0.224802 + 0.765606i
\(863\) −8940.84 + 30449.7i −0.352665 + 1.20107i 0.571990 + 0.820260i \(0.306172\pi\)
−0.924655 + 0.380806i \(0.875647\pi\)
\(864\) 1896.85 + 4153.52i 0.0746900 + 0.163548i
\(865\) 8974.33 + 2352.53i 0.352759 + 0.0924721i
\(866\) −11660.3 + 13456.7i −0.457546 + 0.528036i
\(867\) 5432.93 + 2481.13i 0.212816 + 0.0971900i
\(868\) 6689.68 10409.3i 0.261593 0.407046i
\(869\) 2911.85 + 20252.3i 0.113668 + 0.790579i
\(870\) 12108.9 5963.60i 0.471874 0.232396i
\(871\) 2276.53 + 2627.26i 0.0885619 + 0.102206i
\(872\) 4964.82 + 16908.6i 0.192810 + 0.656650i
\(873\) 2017.68i 0.0782225i
\(874\) 4294.54 + 1032.98i 0.166207 + 0.0399784i
\(875\) 6163.18 17383.5i 0.238118 0.671622i
\(876\) −8879.41 + 2607.23i −0.342474 + 0.100559i
\(877\) −34116.2 + 29561.9i −1.31359 + 1.13824i −0.332842 + 0.942983i \(0.608008\pi\)
−0.980753 + 0.195254i \(0.937447\pi\)
\(878\) 11055.7 + 17203.0i 0.424956 + 0.661245i
\(879\) 1586.84 + 11036.7i 0.0608904 + 0.423502i
\(880\) −7268.98 5935.72i −0.278451 0.227378i
\(881\) 3357.89 7352.76i 0.128411 0.281181i −0.834496 0.551014i \(-0.814241\pi\)
0.962907 + 0.269833i \(0.0869684\pi\)
\(882\) −4076.78 3532.55i −0.155637 0.134861i
\(883\) 44048.2 + 6333.18i 1.67876 + 0.241369i 0.914802 0.403902i \(-0.132346\pi\)
0.763954 + 0.645271i \(0.223256\pi\)
\(884\) 1082.39 + 2370.09i 0.0411816 + 0.0901752i
\(885\) −1268.61 + 3007.50i −0.0481852 + 0.114233i
\(886\) 6677.76 + 1960.77i 0.253210 + 0.0743490i
\(887\) 23840.3 10887.5i 0.902458 0.412139i 0.0905280 0.995894i \(-0.471145\pi\)
0.811930 + 0.583755i \(0.198417\pi\)
\(888\) −3886.59 558.807i −0.146875 0.0211175i
\(889\) −7554.24 + 8718.05i −0.284995 + 0.328902i
\(890\) 26405.6 + 15899.1i 0.994515 + 0.598809i
\(891\) −1873.44 1203.99i −0.0704406 0.0452694i
\(892\) −968.652 + 139.271i −0.0363597 + 0.00522774i
\(893\) −4755.61 7399.87i −0.178209 0.277298i
\(894\) −7736.81 8928.76i −0.289438 0.334029i
\(895\) 1637.33 284.477i 0.0611507 0.0106246i
\(896\) 1689.25 0.0629842
\(897\) −144.231 2908.43i −0.00536869 0.108261i
\(898\) 9309.34i 0.345943i
\(899\) 40887.6 12005.7i 1.51688 0.445397i
\(900\) 3737.04 + 7059.61i 0.138409 + 0.261467i
\(901\) −12866.3 + 8268.69i −0.475738 + 0.305738i
\(902\) −24688.6 + 3549.69i −0.911354 + 0.131033i
\(903\) 6471.87 10070.4i 0.238505 0.371122i
\(904\) −2611.74 + 5718.92i −0.0960899 + 0.210408i
\(905\) −22498.7 + 20676.8i −0.826387 + 0.759469i
\(906\) −3362.06 + 23383.6i −0.123286 + 0.857471i
\(907\) 22791.5 10408.5i 0.834376 0.381047i 0.0480400 0.998845i \(-0.484703\pi\)
0.786337 + 0.617798i \(0.211975\pi\)
\(908\) −2339.14 + 7966.37i −0.0854923 + 0.291160i
\(909\) −4805.23 1410.94i −0.175335 0.0514829i
\(910\) 2231.00 726.544i 0.0812714 0.0264667i
\(911\) −3091.05 + 21498.7i −0.112416 + 0.781871i 0.853141 + 0.521680i \(0.174694\pi\)
−0.965557 + 0.260191i \(0.916215\pi\)
\(912\) 803.873 + 696.560i 0.0291874 + 0.0252910i
\(913\) 46228.2 + 21111.7i 1.67572 + 0.765275i
\(914\) 12860.6 + 8265.00i 0.465416 + 0.299105i
\(915\) −1244.63 + 36.3881i −0.0449684 + 0.00131470i
\(916\) 14158.1 9098.86i 0.510695 0.328204i
\(917\) 2196.54 1903.31i 0.0791014 0.0685418i
\(918\) 6587.01 + 22433.3i 0.236823 + 0.806546i
\(919\) −43987.6 −1.57891 −0.789454 0.613810i \(-0.789636\pi\)
−0.789454 + 0.613810i \(0.789636\pi\)
\(920\) 2025.97 9655.64i 0.0726023 0.346019i
\(921\) 11589.7 0.414652
\(922\) 4605.91 + 15686.3i 0.164520 + 0.560304i
\(923\) 1074.05 930.667i 0.0383019 0.0331888i
\(924\) −7735.57 + 4971.35i −0.275413 + 0.176997i
\(925\) −18412.1 1556.65i −0.654473 0.0553321i
\(926\) −24442.4 15708.2i −0.867417 0.557455i
\(927\) 12730.9 + 5814.01i 0.451066 + 0.205995i
\(928\) 4396.68 + 3809.74i 0.155526 + 0.134764i
\(929\) −7846.51 + 54573.7i −0.277110 + 1.92735i 0.0874573 + 0.996168i \(0.472126\pi\)
−0.364568 + 0.931177i \(0.618783\pi\)
\(930\) −5388.81 16547.4i −0.190007 0.583454i
\(931\) −3243.45 952.362i −0.114178 0.0335257i
\(932\) 2028.80 6909.45i 0.0713041 0.242840i
\(933\) −16840.1 + 7690.60i −0.590910 + 0.269859i
\(934\) −566.284 + 3938.59i −0.0198387 + 0.137981i
\(935\) −32515.5 35380.5i −1.13730 1.23751i
\(936\) −422.128 + 924.332i −0.0147411 + 0.0322785i
\(937\) 11731.5 18254.6i 0.409021 0.636449i −0.574233 0.818692i \(-0.694700\pi\)
0.983253 + 0.182243i \(0.0583359\pi\)
\(938\) 11422.9 1642.36i 0.397623 0.0571696i
\(939\) −28499.4 + 18315.4i −0.990460 + 0.636530i
\(940\) −16210.9 + 11100.6i −0.562492 + 0.385174i
\(941\) −18995.7 + 5577.65i −0.658070 + 0.193227i −0.593684 0.804698i \(-0.702327\pi\)
−0.0643859 + 0.997925i \(0.520509\pi\)
\(942\) 11826.1i 0.409038i
\(943\) −15251.7 21329.9i −0.526685 0.736581i
\(944\) −1406.85 −0.0485055
\(945\) 20743.5 3604.07i 0.714058 0.124064i
\(946\) −18770.5 21662.4i −0.645119 0.744507i
\(947\) −1827.54 2843.71i −0.0627107 0.0975798i 0.808482 0.588521i \(-0.200289\pi\)
−0.871193 + 0.490941i \(0.836653\pi\)
\(948\) −5127.14 + 737.171i −0.175656 + 0.0252555i
\(949\) −4660.66 2995.23i −0.159422 0.102454i
\(950\) 3967.95 + 3051.31i 0.135513 + 0.104208i
\(951\) 2273.95 2624.28i 0.0775371 0.0894826i
\(952\) 8561.51 + 1230.96i 0.291471 + 0.0419072i
\(953\) 41148.6 18791.9i 1.39867 0.638752i 0.433688 0.901063i \(-0.357212\pi\)
0.964983 + 0.262312i \(0.0844848\pi\)
\(954\) −5723.11 1680.46i −0.194227 0.0570302i
\(955\) 6095.15 + 2571.03i 0.206528 + 0.0871170i
\(956\) 9009.84 + 19728.8i 0.304811 + 0.667443i
\(957\) −31345.5 4506.80i −1.05878 0.152230i
\(958\) −1373.42 1190.07i −0.0463185 0.0401352i
\(959\) −10038.8 + 21981.8i −0.338028 + 0.740177i
\(960\) 1502.70 1840.24i 0.0505204 0.0618681i
\(961\) −3579.39 24895.2i −0.120150 0.835662i
\(962\) −1270.86 1977.50i −0.0425928 0.0662757i
\(963\) 20448.4 17718.6i 0.684257 0.592912i
\(964\) −519.711 + 152.601i −0.0173639 + 0.00509849i
\(965\) −5335.91 + 46780.5i −0.177999 + 1.56054i
\(966\) −8381.17 4817.10i −0.279151 0.160443i
\(967\) 47762.8i 1.58836i −0.607680 0.794182i \(-0.707899\pi\)
0.607680 0.794182i \(-0.292101\pi\)
\(968\) 3203.21 + 10909.1i 0.106359 + 0.362224i
\(969\) 3566.63 + 4116.11i 0.118242 + 0.136459i
\(970\) 2533.54 1247.76i 0.0838630 0.0413022i
\(971\) 8217.69 + 57155.3i 0.271594 + 1.88898i 0.431913 + 0.901915i \(0.357839\pi\)
−0.160319 + 0.987065i \(0.551252\pi\)
\(972\) −8026.90 + 12490.1i −0.264879 + 0.412161i
\(973\) −33977.9 15517.2i −1.11951 0.511263i
\(974\) 8598.56 9923.27i 0.282870 0.326450i
\(975\) 1193.15 3076.72i 0.0391911 0.101061i
\(976\) −222.941 488.174i −0.00731166 0.0160103i
\(977\) 3188.68 10859.7i 0.104417 0.355610i −0.890666 0.454658i \(-0.849762\pi\)
0.995083 + 0.0990478i \(0.0315797\pi\)
\(978\) −6104.43 + 20789.8i −0.199589 + 0.679738i
\(979\) −30040.6 65779.8i −0.980697 2.14743i
\(980\) −1914.58 + 7303.65i −0.0624071 + 0.238068i
\(981\) −23045.1 + 26595.4i −0.750023 + 0.865573i
\(982\) −1697.01 775.000i −0.0551465 0.0251846i
\(983\) 5182.85 8064.67i 0.168166 0.261671i −0.746934 0.664898i \(-0.768475\pi\)
0.915100 + 0.403227i \(0.132111\pi\)
\(984\) −898.649 6250.24i −0.0291137 0.202490i
\(985\) −14693.9 29835.5i −0.475315 0.965114i
\(986\) 19507.2 + 22512.5i 0.630058 + 0.727125i
\(987\) 5423.63 + 18471.2i 0.174910 + 0.595689i
\(988\) 636.778i 0.0205047i
\(989\) 11144.9 27996.7i 0.358329 0.900145i
\(990\) 2123.81 18619.6i 0.0681808 0.597749i
\(991\) 52641.2 15456.9i 1.68739 0.495462i 0.709521 0.704684i \(-0.248911\pi\)
0.977868 + 0.209222i \(0.0670930\pi\)
\(992\) 5668.67 4911.93i 0.181432 0.157212i
\(993\) 11642.6 + 18116.2i 0.372071 + 0.578953i
\(994\) −671.412 4669.77i −0.0214244 0.149010i
\(995\) 2555.21 + 2086.54i 0.0814126 + 0.0664800i
\(996\) −5344.70 + 11703.3i −0.170034 + 0.372322i
\(997\) −23151.3 20060.7i −0.735416 0.637241i 0.204414 0.978885i \(-0.434471\pi\)
−0.939830 + 0.341643i \(0.889017\pi\)
\(998\) −3642.84 523.761i −0.115543 0.0166126i
\(999\) −8762.42 19187.0i −0.277508 0.607658i
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 230.4.j.a.9.8 360
5.4 even 2 inner 230.4.j.a.9.29 yes 360
23.18 even 11 inner 230.4.j.a.179.29 yes 360
115.64 even 22 inner 230.4.j.a.179.8 yes 360
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
230.4.j.a.9.8 360 1.1 even 1 trivial
230.4.j.a.9.29 yes 360 5.4 even 2 inner
230.4.j.a.179.8 yes 360 115.64 even 22 inner
230.4.j.a.179.29 yes 360 23.18 even 11 inner