Properties

Label 354.3.h.a.5.7
Level 354
Weight 3
Character 354.5
Analytic conductor 9.646
Analytic rank 0
Dimension 1120
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 3 \)
Character orbit: \([\chi]\) = 354.h (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.64580135835\)
Analytic rank: \(0\)
Dimension: \(1120\)
Relative dimension: \(40\) over \(\Q(\zeta_{58})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 5.7
Character \(\chi\) = 354.5
Dual form 354.3.h.a.71.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.451561 + 1.34018i) q^{2} +(-1.59946 + 2.53806i) q^{3} +(-1.59219 - 1.21035i) q^{4} +(2.85503 + 1.13755i) q^{5} +(-2.67921 - 3.28965i) q^{6} +(-8.37649 + 3.87538i) q^{7} +(2.34106 - 1.58728i) q^{8} +(-3.88348 - 8.11903i) q^{9} +O(q^{10})\) \(q+(-0.451561 + 1.34018i) q^{2} +(-1.59946 + 2.53806i) q^{3} +(-1.59219 - 1.21035i) q^{4} +(2.85503 + 1.13755i) q^{5} +(-2.67921 - 3.28965i) q^{6} +(-8.37649 + 3.87538i) q^{7} +(2.34106 - 1.58728i) q^{8} +(-3.88348 - 8.11903i) q^{9} +(-2.81375 + 3.31260i) q^{10} +(-3.85190 - 1.06947i) q^{11} +(5.61857 - 2.10516i) q^{12} +(1.39600 - 2.63313i) q^{13} +(-1.41123 - 12.9760i) q^{14} +(-7.45367 + 5.42678i) q^{15} +(1.07011 + 3.85420i) q^{16} +(6.50248 - 14.0549i) q^{17} +(12.6346 - 1.53834i) q^{18} +(-20.2663 + 4.46094i) q^{19} +(-3.16891 - 5.26678i) q^{20} +(3.56190 - 27.4585i) q^{21} +(3.17266 - 4.67932i) q^{22} +(-4.75736 - 0.779929i) q^{23} +(0.284180 + 8.48052i) q^{24} +(-11.2927 - 10.6970i) q^{25} +(2.89850 + 3.05991i) q^{26} +(26.8180 + 3.12954i) q^{27} +(18.0275 + 3.96815i) q^{28} +(1.16642 + 3.46181i) q^{29} +(-3.90710 - 12.4398i) q^{30} +(6.06320 + 1.33461i) q^{31} +(-5.64856 - 0.306256i) q^{32} +(8.87533 - 8.06577i) q^{33} +(15.8999 + 15.0612i) q^{34} +(-28.3236 + 1.53566i) q^{35} +(-3.64363 + 17.6274i) q^{36} +(22.1383 - 32.6516i) q^{37} +(3.17296 - 29.1749i) q^{38} +(4.45020 + 7.75470i) q^{39} +(8.48940 - 1.86866i) q^{40} +(11.9841 - 1.96469i) q^{41} +(35.1910 + 17.1728i) q^{42} +(-11.4259 - 41.1525i) q^{43} +(4.83850 + 6.36494i) q^{44} +(-1.85166 - 27.5977i) q^{45} +(3.19348 - 6.02355i) q^{46} +(36.5861 - 14.5772i) q^{47} +(-11.4938 - 3.44862i) q^{48} +(23.4251 - 27.5782i) q^{49} +(19.4353 - 10.3039i) q^{50} +(25.2717 + 38.9839i) q^{51} +(-5.40969 + 2.50279i) q^{52} +(-9.32293 + 7.91897i) q^{53} +(-16.3041 + 34.5279i) q^{54} +(-9.78072 - 7.43511i) q^{55} +(-13.4586 + 22.3683i) q^{56} +(21.0929 - 58.5721i) q^{57} -5.16618 q^{58} +(58.5059 + 7.62005i) q^{59} +(18.4359 + 0.381092i) q^{60} +(-33.9684 - 11.4453i) q^{61} +(-4.52653 + 7.52315i) q^{62} +(63.9942 + 52.9590i) q^{63} +(2.96111 - 7.43181i) q^{64} +(6.98093 - 5.92966i) q^{65} +(6.80186 + 15.5368i) q^{66} +(-37.6103 - 55.4710i) q^{67} +(-27.3645 + 14.5077i) q^{68} +(9.58870 - 10.8270i) q^{69} +(10.7317 - 38.6523i) q^{70} +(-83.1143 + 33.1158i) q^{71} +(-21.9786 - 12.8430i) q^{72} +(-53.8834 + 5.86017i) q^{73} +(33.7623 + 44.4136i) q^{74} +(45.2118 - 11.5521i) q^{75} +(37.6670 + 17.4266i) q^{76} +(36.4100 - 5.96912i) q^{77} +(-12.4023 + 2.46237i) q^{78} +(-69.4057 + 41.7600i) q^{79} +(-1.32913 + 12.2212i) q^{80} +(-50.8372 + 63.0601i) q^{81} +(-2.77850 + 16.9481i) q^{82} +(-154.483 + 8.37583i) q^{83} +(-38.9056 + 39.4079i) q^{84} +(34.5529 - 32.7303i) q^{85} +(60.3114 + 3.26999i) q^{86} +(-10.6519 - 2.57658i) q^{87} +(-10.7151 + 3.61033i) q^{88} +(14.5761 + 43.2605i) q^{89} +(37.8222 + 9.98048i) q^{90} +(-1.48919 + 27.4664i) q^{91} +(6.63061 + 6.99985i) q^{92} +(-13.0851 + 13.2541i) q^{93} +(3.01534 + 55.6147i) q^{94} +(-62.9354 - 10.3177i) q^{95} +(9.81192 - 13.8465i) q^{96} +(-147.434 - 16.0344i) q^{97} +(26.3820 + 43.8472i) q^{98} +(6.27567 + 35.4270i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1120q + 80q^{4} - 8q^{6} - 8q^{7} + 24q^{9} + O(q^{10}) \) \( 1120q + 80q^{4} - 8q^{6} - 8q^{7} + 24q^{9} + 16q^{10} - 34q^{15} - 160q^{16} - 16q^{18} - 24q^{19} + 18q^{21} + 16q^{22} + 16q^{24} + 216q^{25} + 30q^{27} + 16q^{28} + 64q^{30} - 96q^{31} - 76q^{33} - 80q^{34} - 48q^{36} + 200q^{37} + 28q^{39} - 32q^{40} - 48q^{42} + 104q^{43} + 696q^{45} - 32q^{46} - 288q^{49} + 1800q^{51} + 852q^{54} - 360q^{55} + 76q^{57} + 128q^{58} - 280q^{60} + 32q^{61} - 1318q^{63} + 320q^{64} - 1512q^{66} + 344q^{67} - 2640q^{69} - 192q^{70} + 32q^{72} - 40q^{73} - 1014q^{75} + 48q^{76} - 96q^{78} - 32q^{79} - 336q^{81} + 80q^{82} - 36q^{84} - 168q^{85} + 162q^{87} - 32q^{88} - 112q^{90} - 88q^{91} + 316q^{93} + 400q^{94} - 32q^{96} + 184q^{97} + 148q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{3}{29}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.451561 + 1.34018i −0.225780 + 0.670092i
\(3\) −1.59946 + 2.53806i −0.533152 + 0.846019i
\(4\) −1.59219 1.21035i −0.398047 0.302587i
\(5\) 2.85503 + 1.13755i 0.571007 + 0.227510i 0.637728 0.770262i \(-0.279874\pi\)
−0.0667211 + 0.997772i \(0.521254\pi\)
\(6\) −2.67921 3.28965i −0.446536 0.548275i
\(7\) −8.37649 + 3.87538i −1.19664 + 0.553625i −0.914045 0.405613i \(-0.867058\pi\)
−0.282597 + 0.959239i \(0.591196\pi\)
\(8\) 2.34106 1.58728i 0.292632 0.198410i
\(9\) −3.88348 8.11903i −0.431497 0.902114i
\(10\) −2.81375 + 3.31260i −0.281375 + 0.331260i
\(11\) −3.85190 1.06947i −0.350173 0.0972250i 0.0879883 0.996122i \(-0.471956\pi\)
−0.438161 + 0.898897i \(0.644370\pi\)
\(12\) 5.61857 2.10516i 0.468214 0.175430i
\(13\) 1.39600 2.63313i 0.107384 0.202548i −0.823996 0.566595i \(-0.808260\pi\)
0.931381 + 0.364047i \(0.118605\pi\)
\(14\) −1.41123 12.9760i −0.100802 0.926858i
\(15\) −7.45367 + 5.42678i −0.496911 + 0.361785i
\(16\) 1.07011 + 3.85420i 0.0668821 + 0.240887i
\(17\) 6.50248 14.0549i 0.382499 0.826758i −0.616718 0.787185i \(-0.711538\pi\)
0.999217 0.0395737i \(-0.0126000\pi\)
\(18\) 12.6346 1.53834i 0.701923 0.0854634i
\(19\) −20.2663 + 4.46094i −1.06665 + 0.234787i −0.713409 0.700747i \(-0.752850\pi\)
−0.353237 + 0.935534i \(0.614919\pi\)
\(20\) −3.16891 5.26678i −0.158446 0.263339i
\(21\) 3.56190 27.4585i 0.169614 1.30755i
\(22\) 3.17266 4.67932i 0.144212 0.212696i
\(23\) −4.75736 0.779929i −0.206842 0.0339100i 0.0574702 0.998347i \(-0.481697\pi\)
−0.264312 + 0.964437i \(0.585145\pi\)
\(24\) 0.284180 + 8.48052i 0.0118408 + 0.353355i
\(25\) −11.2927 10.6970i −0.451708 0.427880i
\(26\) 2.89850 + 3.05991i 0.111481 + 0.117689i
\(27\) 26.8180 + 3.12954i 0.993260 + 0.115909i
\(28\) 18.0275 + 3.96815i 0.643839 + 0.141720i
\(29\) 1.16642 + 3.46181i 0.0402214 + 0.119373i 0.965882 0.258981i \(-0.0833867\pi\)
−0.925661 + 0.378354i \(0.876490\pi\)
\(30\) −3.90710 12.4398i −0.130237 0.414660i
\(31\) 6.06320 + 1.33461i 0.195587 + 0.0430520i 0.311684 0.950186i \(-0.399107\pi\)
−0.116096 + 0.993238i \(0.537038\pi\)
\(32\) −5.64856 0.306256i −0.176517 0.00957050i
\(33\) 8.87533 8.06577i 0.268950 0.244417i
\(34\) 15.8999 + 15.0612i 0.467643 + 0.442975i
\(35\) −28.3236 + 1.53566i −0.809246 + 0.0438760i
\(36\) −3.64363 + 17.6274i −0.101212 + 0.489649i
\(37\) 22.1383 32.6516i 0.598333 0.882475i −0.401104 0.916033i \(-0.631373\pi\)
0.999437 + 0.0335575i \(0.0106837\pi\)
\(38\) 3.17296 29.1749i 0.0834991 0.767761i
\(39\) 4.45020 + 7.75470i 0.114108 + 0.198838i
\(40\) 8.48940 1.86866i 0.212235 0.0467165i
\(41\) 11.9841 1.96469i 0.292295 0.0479193i −0.0138504 0.999904i \(-0.504409\pi\)
0.306145 + 0.951985i \(0.400961\pi\)
\(42\) 35.1910 + 17.1728i 0.837882 + 0.408876i
\(43\) −11.4259 41.1525i −0.265719 0.957034i −0.969191 0.246311i \(-0.920782\pi\)
0.703472 0.710723i \(-0.251632\pi\)
\(44\) 4.83850 + 6.36494i 0.109966 + 0.144658i
\(45\) −1.85166 27.5977i −0.0411481 0.613283i
\(46\) 3.19348 6.02355i 0.0694236 0.130947i
\(47\) 36.5861 14.5772i 0.778428 0.310154i 0.0531288 0.998588i \(-0.483081\pi\)
0.725299 + 0.688433i \(0.241701\pi\)
\(48\) −11.4938 3.44862i −0.239454 0.0718462i
\(49\) 23.4251 27.5782i 0.478064 0.562820i
\(50\) 19.4353 10.3039i 0.388706 0.206079i
\(51\) 25.2717 + 38.9839i 0.495523 + 0.764390i
\(52\) −5.40969 + 2.50279i −0.104033 + 0.0481306i
\(53\) −9.32293 + 7.91897i −0.175904 + 0.149414i −0.731013 0.682363i \(-0.760952\pi\)
0.555109 + 0.831778i \(0.312676\pi\)
\(54\) −16.3041 + 34.5279i −0.301928 + 0.639406i
\(55\) −9.78072 7.43511i −0.177831 0.135184i
\(56\) −13.4586 + 22.3683i −0.240331 + 0.399434i
\(57\) 21.0929 58.5721i 0.370051 1.02758i
\(58\) −5.16618 −0.0890720
\(59\) 58.5059 + 7.62005i 0.991625 + 0.129153i
\(60\) 18.4359 + 0.381092i 0.307265 + 0.00635153i
\(61\) −33.9684 11.4453i −0.556859 0.187627i 0.0267796 0.999641i \(-0.491475\pi\)
−0.583638 + 0.812014i \(0.698371\pi\)
\(62\) −4.52653 + 7.52315i −0.0730085 + 0.121341i
\(63\) 63.9942 + 52.9590i 1.01578 + 0.840619i
\(64\) 2.96111 7.43181i 0.0462673 0.116122i
\(65\) 6.98093 5.92966i 0.107399 0.0912255i
\(66\) 6.80186 + 15.5368i 0.103058 + 0.235405i
\(67\) −37.6103 55.4710i −0.561347 0.827925i 0.436058 0.899919i \(-0.356374\pi\)
−0.997405 + 0.0719932i \(0.977064\pi\)
\(68\) −27.3645 + 14.5077i −0.402419 + 0.213349i
\(69\) 9.58870 10.8270i 0.138967 0.156913i
\(70\) 10.7317 38.6523i 0.153311 0.552175i
\(71\) −83.1143 + 33.1158i −1.17062 + 0.466419i −0.872741 0.488183i \(-0.837660\pi\)
−0.297883 + 0.954602i \(0.596281\pi\)
\(72\) −21.9786 12.8430i −0.305258 0.178374i
\(73\) −53.8834 + 5.86017i −0.738129 + 0.0802763i −0.469457 0.882955i \(-0.655550\pi\)
−0.268672 + 0.963232i \(0.586585\pi\)
\(74\) 33.7623 + 44.4136i 0.456248 + 0.600184i
\(75\) 45.2118 11.5521i 0.602824 0.154028i
\(76\) 37.6670 + 17.4266i 0.495618 + 0.229297i
\(77\) 36.4100 5.96912i 0.472857 0.0775210i
\(78\) −12.4023 + 2.46237i −0.159003 + 0.0315689i
\(79\) −69.4057 + 41.7600i −0.878553 + 0.528608i −0.881927 0.471387i \(-0.843754\pi\)
0.00337378 + 0.999994i \(0.498926\pi\)
\(80\) −1.32913 + 12.2212i −0.0166142 + 0.152765i
\(81\) −50.8372 + 63.0601i −0.627620 + 0.778520i
\(82\) −2.77850 + 16.9481i −0.0338841 + 0.206684i
\(83\) −154.483 + 8.37583i −1.86124 + 0.100914i −0.950246 0.311501i \(-0.899168\pi\)
−0.910996 + 0.412415i \(0.864686\pi\)
\(84\) −38.9056 + 39.4079i −0.463162 + 0.469142i
\(85\) 34.5529 32.7303i 0.406505 0.385062i
\(86\) 60.3114 + 3.26999i 0.701295 + 0.0380231i
\(87\) −10.6519 2.57658i −0.122436 0.0296158i
\(88\) −10.7151 + 3.61033i −0.121762 + 0.0410265i
\(89\) 14.5761 + 43.2605i 0.163777 + 0.486073i 0.997847 0.0655860i \(-0.0208917\pi\)
−0.834070 + 0.551659i \(0.813995\pi\)
\(90\) 37.8222 + 9.98048i 0.420247 + 0.110894i
\(91\) −1.48919 + 27.4664i −0.0163647 + 0.301829i
\(92\) 6.63061 + 6.99985i 0.0720719 + 0.0760854i
\(93\) −13.0851 + 13.2541i −0.140700 + 0.142517i
\(94\) 3.01534 + 55.6147i 0.0320781 + 0.591645i
\(95\) −62.9354 10.3177i −0.662478 0.108608i
\(96\) 9.81192 13.8465i 0.102207 0.144235i
\(97\) −147.434 16.0344i −1.51994 0.165303i −0.690266 0.723556i \(-0.742507\pi\)
−0.829671 + 0.558252i \(0.811472\pi\)
\(98\) 26.3820 + 43.8472i 0.269204 + 0.447420i
\(99\) 6.27567 + 35.4270i 0.0633906 + 0.357848i
\(100\) 5.03296 + 30.6997i 0.0503296 + 0.306997i
\(101\) −13.4370 + 29.0435i −0.133039 + 0.287560i −0.962634 0.270807i \(-0.912710\pi\)
0.829595 + 0.558366i \(0.188572\pi\)
\(102\) −63.6573 + 16.2651i −0.624091 + 0.159462i
\(103\) 27.8599 21.1786i 0.270485 0.205617i −0.461135 0.887330i \(-0.652558\pi\)
0.731620 + 0.681713i \(0.238765\pi\)
\(104\) −0.911396 8.38015i −0.00876342 0.0805783i
\(105\) 41.4048 74.3431i 0.394331 0.708030i
\(106\) −6.40301 16.0703i −0.0604057 0.151607i
\(107\) −90.8809 25.2330i −0.849354 0.235822i −0.184535 0.982826i \(-0.559078\pi\)
−0.664820 + 0.747004i \(0.731492\pi\)
\(108\) −38.9114 37.4420i −0.360291 0.346685i
\(109\) −68.6736 129.532i −0.630033 1.18837i −0.968881 0.247527i \(-0.920382\pi\)
0.338848 0.940841i \(-0.389963\pi\)
\(110\) 14.3810 9.75056i 0.130736 0.0886415i
\(111\) 47.4623 + 108.413i 0.427588 + 0.976695i
\(112\) −23.9003 28.1376i −0.213395 0.251228i
\(113\) 43.5195 + 17.3397i 0.385128 + 0.153449i 0.554663 0.832075i \(-0.312847\pi\)
−0.169535 + 0.985524i \(0.554227\pi\)
\(114\) 68.9726 + 54.7172i 0.605023 + 0.479975i
\(115\) −12.6952 7.63846i −0.110393 0.0664213i
\(116\) 2.33284 6.92363i 0.0201107 0.0596865i
\(117\) −26.7998 1.10844i −0.229058 0.00947384i
\(118\) −36.6312 + 74.9677i −0.310434 + 0.635319i
\(119\) 142.930i 1.20109i
\(120\) −8.83567 + 24.5354i −0.0736306 + 0.204462i
\(121\) −89.9864 54.1430i −0.743689 0.447463i
\(122\) 30.6776 40.3556i 0.251455 0.330784i
\(123\) −14.1815 + 33.5588i −0.115297 + 0.272836i
\(124\) −8.03840 9.46353i −0.0648258 0.0763188i
\(125\) −52.3339 113.118i −0.418671 0.904942i
\(126\) −99.8721 + 61.8498i −0.792636 + 0.490871i
\(127\) 33.2793 + 62.7714i 0.262042 + 0.494263i 0.979266 0.202579i \(-0.0649324\pi\)
−0.717224 + 0.696843i \(0.754588\pi\)
\(128\) 8.62288 + 7.32434i 0.0673662 + 0.0572214i
\(129\) 122.723 + 36.8219i 0.951338 + 0.285441i
\(130\) 4.79452 + 12.0333i 0.0368809 + 0.0925641i
\(131\) −62.4062 33.0857i −0.476383 0.252563i 0.212873 0.977080i \(-0.431718\pi\)
−0.689257 + 0.724517i \(0.742063\pi\)
\(132\) −23.8936 + 2.09995i −0.181012 + 0.0159087i
\(133\) 152.472 115.907i 1.14641 0.871478i
\(134\) 91.3247 25.3562i 0.681527 0.189225i
\(135\) 73.0063 + 39.4418i 0.540788 + 0.292161i
\(136\) −7.08631 43.2246i −0.0521052 0.317828i
\(137\) 1.69522 + 7.70147i 0.0123739 + 0.0562151i 0.982403 0.186774i \(-0.0598032\pi\)
−0.970029 + 0.242989i \(0.921872\pi\)
\(138\) 10.1803 + 17.7397i 0.0737702 + 0.128548i
\(139\) 106.224 + 11.5526i 0.764204 + 0.0831122i 0.481916 0.876217i \(-0.339941\pi\)
0.282288 + 0.959330i \(0.408907\pi\)
\(140\) 46.9551 + 31.8364i 0.335394 + 0.227403i
\(141\) −21.5200 + 116.173i −0.152624 + 0.823925i
\(142\) −6.85008 126.342i −0.0482400 0.889734i
\(143\) −8.19331 + 8.64957i −0.0572959 + 0.0604865i
\(144\) 27.1366 23.6560i 0.188449 0.164278i
\(145\) −0.607813 + 11.2105i −0.00419182 + 0.0773135i
\(146\) 16.4779 74.8599i 0.112862 0.512739i
\(147\) 32.5276 + 103.564i 0.221276 + 0.704520i
\(148\) −74.7681 + 25.1923i −0.505190 + 0.170218i
\(149\) −43.5686 + 197.934i −0.292407 + 1.32842i 0.569768 + 0.821805i \(0.307033\pi\)
−0.862175 + 0.506611i \(0.830898\pi\)
\(150\) −4.93391 + 65.8086i −0.0328927 + 0.438724i
\(151\) 99.5157 94.2663i 0.659044 0.624280i −0.283258 0.959044i \(-0.591415\pi\)
0.942302 + 0.334764i \(0.108657\pi\)
\(152\) −40.3638 + 42.6115i −0.265551 + 0.280339i
\(153\) −139.364 + 1.78800i −0.910878 + 0.0116863i
\(154\) −8.44161 + 51.4915i −0.0548156 + 0.334361i
\(155\) 15.7925 + 10.7075i 0.101887 + 0.0690810i
\(156\) 2.30034 17.7332i 0.0147458 0.113674i
\(157\) 149.461 89.9274i 0.951978 0.572786i 0.0472993 0.998881i \(-0.484939\pi\)
0.904679 + 0.426095i \(0.140111\pi\)
\(158\) −24.6252 111.874i −0.155856 0.708060i
\(159\) −5.18718 36.3282i −0.0326238 0.228479i
\(160\) −15.7784 7.29988i −0.0986153 0.0456243i
\(161\) 42.8725 11.9035i 0.266289 0.0739347i
\(162\) −61.5561 96.6067i −0.379976 0.596337i
\(163\) −294.135 + 31.9892i −1.80451 + 0.196252i −0.947654 0.319300i \(-0.896552\pi\)
−0.856858 + 0.515552i \(0.827587\pi\)
\(164\) −21.4589 11.3768i −0.130847 0.0693706i
\(165\) 34.5146 12.9319i 0.209179 0.0783752i
\(166\) 58.5333 210.818i 0.352610 1.26999i
\(167\) −10.3482 8.78986i −0.0619654 0.0526339i 0.615868 0.787849i \(-0.288805\pi\)
−0.677834 + 0.735215i \(0.737081\pi\)
\(168\) −35.2456 69.9357i −0.209796 0.416284i
\(169\) 89.8560 + 132.528i 0.531693 + 0.784188i
\(170\) 28.2619 + 61.0870i 0.166246 + 0.359335i
\(171\) 114.922 + 147.218i 0.672059 + 0.860927i
\(172\) −31.6166 + 79.3518i −0.183818 + 0.461347i
\(173\) −124.899 + 164.302i −0.721960 + 0.949722i −0.999941 0.0108644i \(-0.996542\pi\)
0.277981 + 0.960587i \(0.410335\pi\)
\(174\) 8.26308 13.1121i 0.0474889 0.0753567i
\(175\) 136.048 + 45.8399i 0.777417 + 0.261942i
\(176\) 15.9904i 0.0908548i
\(177\) −112.918 + 136.303i −0.637953 + 0.770075i
\(178\) −64.5590 −0.362691
\(179\) 42.2730 125.462i 0.236162 0.700904i −0.762390 0.647117i \(-0.775974\pi\)
0.998552 0.0537865i \(-0.0171290\pi\)
\(180\) −30.4547 + 46.1819i −0.169193 + 0.256566i
\(181\) 78.7034 + 59.8288i 0.434825 + 0.330546i 0.799582 0.600557i \(-0.205055\pi\)
−0.364756 + 0.931103i \(0.618848\pi\)
\(182\) −36.1376 14.3985i −0.198558 0.0791128i
\(183\) 83.3797 67.9075i 0.455627 0.371079i
\(184\) −12.3752 + 5.72539i −0.0672566 + 0.0311162i
\(185\) 100.348 68.0379i 0.542424 0.367773i
\(186\) −11.8542 23.5215i −0.0637322 0.126460i
\(187\) −40.0783 + 47.1838i −0.214322 + 0.252320i
\(188\) −75.8955 21.0723i −0.403699 0.112087i
\(189\) −236.769 + 77.7154i −1.25275 + 0.411192i
\(190\) 42.2468 79.6860i 0.222352 0.419400i
\(191\) −0.409500 3.76529i −0.00214398 0.0197136i 0.993017 0.117970i \(-0.0376388\pi\)
−0.995161 + 0.0982569i \(0.968673\pi\)
\(192\) 14.1262 + 19.4023i 0.0735740 + 0.101054i
\(193\) 5.14695 + 18.5376i 0.0266681 + 0.0960500i 0.975686 0.219171i \(-0.0703352\pi\)
−0.949018 + 0.315221i \(0.897921\pi\)
\(194\) 88.0644 190.348i 0.453940 0.981176i
\(195\) 3.88412 + 27.2023i 0.0199186 + 0.139499i
\(196\) −70.6763 + 15.5570i −0.360594 + 0.0793727i
\(197\) 28.8146 + 47.8902i 0.146267 + 0.243098i 0.921326 0.388792i \(-0.127107\pi\)
−0.775059 + 0.631889i \(0.782280\pi\)
\(198\) −50.3125 7.58686i −0.254103 0.0383175i
\(199\) −194.391 + 286.706i −0.976841 + 1.44073i −0.0808169 + 0.996729i \(0.525753\pi\)
−0.896025 + 0.444004i \(0.853557\pi\)
\(200\) −43.4159 7.11768i −0.217080 0.0355884i
\(201\) 200.945 6.73360i 0.999725 0.0335005i
\(202\) −32.8560 31.1229i −0.162654 0.154074i
\(203\) −23.1864 24.4775i −0.114218 0.120579i
\(204\) 6.94684 92.6571i 0.0340531 0.454202i
\(205\) 36.4499 + 8.02324i 0.177805 + 0.0391377i
\(206\) 15.8027 + 46.9008i 0.0767123 + 0.227674i
\(207\) 12.1428 + 41.6540i 0.0586610 + 0.201227i
\(208\) 11.6425 + 2.56271i 0.0559735 + 0.0123207i
\(209\) 82.8345 + 4.49116i 0.396337 + 0.0214888i
\(210\) 80.9367 + 89.0604i 0.385413 + 0.424097i
\(211\) 108.434 + 102.714i 0.513906 + 0.486797i 0.900138 0.435604i \(-0.143465\pi\)
−0.386233 + 0.922401i \(0.626224\pi\)
\(212\) 24.4285 1.32448i 0.115229 0.00624754i
\(213\) 48.8880 263.916i 0.229521 1.23904i
\(214\) 74.8551 110.403i 0.349790 0.515902i
\(215\) 14.1916 130.489i 0.0660073 0.606927i
\(216\) 67.7500 35.2412i 0.313657 0.163154i
\(217\) −55.9605 + 12.3178i −0.257882 + 0.0567642i
\(218\) 204.607 33.5437i 0.938565 0.153870i
\(219\) 71.3107 146.132i 0.325620 0.667271i
\(220\) 6.57365 + 23.6762i 0.0298802 + 0.107619i
\(221\) −27.9309 36.7425i −0.126384 0.166256i
\(222\) −166.726 + 14.6532i −0.751016 + 0.0660052i
\(223\) 119.085 224.619i 0.534014 1.00726i −0.458907 0.888484i \(-0.651759\pi\)
0.992921 0.118774i \(-0.0378963\pi\)
\(224\) 48.5019 19.3249i 0.216527 0.0862721i
\(225\) −42.9944 + 133.227i −0.191086 + 0.592121i
\(226\) −42.8901 + 50.4942i −0.189779 + 0.223425i
\(227\) 303.779 161.053i 1.33823 0.709486i 0.363235 0.931698i \(-0.381672\pi\)
0.974999 + 0.222211i \(0.0713275\pi\)
\(228\) −104.476 + 67.7279i −0.458230 + 0.297052i
\(229\) 12.0454 5.57281i 0.0526002 0.0243354i −0.393413 0.919362i \(-0.628706\pi\)
0.446013 + 0.895027i \(0.352844\pi\)
\(230\) 15.9696 13.5647i 0.0694330 0.0589769i
\(231\) −43.0863 + 101.958i −0.186521 + 0.441377i
\(232\) 8.22552 + 6.25288i 0.0354548 + 0.0269520i
\(233\) 123.392 205.079i 0.529579 0.880166i −0.470419 0.882443i \(-0.655897\pi\)
0.999997 + 0.00227689i \(0.000724758\pi\)
\(234\) 13.5872 35.4161i 0.0580651 0.151351i
\(235\) 121.037 0.515051
\(236\) −83.9293 82.9450i −0.355633 0.351462i
\(237\) 5.02204 242.949i 0.0211900 1.02510i
\(238\) −191.553 64.5417i −0.804844 0.271183i
\(239\) 92.8776 154.364i 0.388609 0.645874i −0.599368 0.800474i \(-0.704581\pi\)
0.987977 + 0.154600i \(0.0494089\pi\)
\(240\) −28.8922 22.9207i −0.120384 0.0955027i
\(241\) 81.3843 204.259i 0.337694 0.847549i −0.657841 0.753157i \(-0.728530\pi\)
0.995535 0.0943918i \(-0.0300906\pi\)
\(242\) 113.196 96.1494i 0.467752 0.397312i
\(243\) −78.7383 229.890i −0.324026 0.946048i
\(244\) 40.2312 + 59.3366i 0.164882 + 0.243183i
\(245\) 98.2510 52.0894i 0.401025 0.212610i
\(246\) −38.5711 34.1597i −0.156793 0.138861i
\(247\) −16.5454 + 59.5912i −0.0669855 + 0.241260i
\(248\) 16.3127 6.49957i 0.0657770 0.0262080i
\(249\) 225.831 405.484i 0.906950 1.62845i
\(250\) 175.231 19.0575i 0.700922 0.0762299i
\(251\) −37.2324 48.9783i −0.148336 0.195133i 0.715924 0.698179i \(-0.246006\pi\)
−0.864260 + 0.503046i \(0.832213\pi\)
\(252\) −37.7918 161.776i −0.149968 0.641968i
\(253\) 17.4908 + 8.09208i 0.0691334 + 0.0319845i
\(254\) −99.1529 + 16.2553i −0.390366 + 0.0639972i
\(255\) 27.8054 + 140.048i 0.109041 + 0.549208i
\(256\) −13.7097 + 8.24886i −0.0535536 + 0.0322221i
\(257\) 8.79034 80.8258i 0.0342036 0.314497i −0.964521 0.264007i \(-0.914956\pi\)
0.998725 0.0504908i \(-0.0160785\pi\)
\(258\) −104.765 + 147.844i −0.406065 + 0.573037i
\(259\) −58.9042 + 359.300i −0.227429 + 1.38726i
\(260\) −18.2919 + 0.991758i −0.0703535 + 0.00381445i
\(261\) 23.5768 22.9141i 0.0903325 0.0877934i
\(262\) 72.5211 68.6956i 0.276798 0.262197i
\(263\) −396.980 21.5236i −1.50943 0.0818389i −0.719266 0.694735i \(-0.755522\pi\)
−0.790164 + 0.612896i \(0.790005\pi\)
\(264\) 7.97507 32.9700i 0.0302086 0.124886i
\(265\) −35.6255 + 12.0036i −0.134436 + 0.0452967i
\(266\) 86.4855 + 256.680i 0.325134 + 0.964962i
\(267\) −133.111 32.1981i −0.498545 0.120592i
\(268\) −7.25669 + 133.842i −0.0270772 + 0.499409i
\(269\) −349.150 368.593i −1.29796 1.37024i −0.889151 0.457614i \(-0.848704\pi\)
−0.408805 0.912622i \(-0.634054\pi\)
\(270\) −85.8260 + 80.0316i −0.317874 + 0.296413i
\(271\) 23.7402 + 437.863i 0.0876024 + 1.61573i 0.630676 + 0.776046i \(0.282778\pi\)
−0.543074 + 0.839685i \(0.682740\pi\)
\(272\) 61.1288 + 10.0216i 0.224738 + 0.0368439i
\(273\) −67.3294 47.7110i −0.246628 0.174765i
\(274\) −11.0869 1.20577i −0.0404631 0.00440062i
\(275\) 32.0581 + 53.2810i 0.116575 + 0.193749i
\(276\) −28.3714 + 5.63292i −0.102795 + 0.0204091i
\(277\) −65.9497 402.275i −0.238086 1.45226i −0.787297 0.616574i \(-0.788520\pi\)
0.549211 0.835684i \(-0.314928\pi\)
\(278\) −63.4493 + 137.143i −0.228235 + 0.493322i
\(279\) −12.7106 54.4102i −0.0455575 0.195019i
\(280\) −63.8697 + 48.5525i −0.228106 + 0.173402i
\(281\) 45.7503 + 420.667i 0.162812 + 1.49704i 0.735647 + 0.677365i \(0.236878\pi\)
−0.572835 + 0.819671i \(0.694156\pi\)
\(282\) −145.976 81.3001i −0.517646 0.288298i
\(283\) 66.8857 + 167.870i 0.236345 + 0.593181i 0.998531 0.0541763i \(-0.0172533\pi\)
−0.762186 + 0.647358i \(0.775874\pi\)
\(284\) 172.415 + 47.8708i 0.607096 + 0.168559i
\(285\) 126.850 143.231i 0.445086 0.502565i
\(286\) −7.89224 14.8863i −0.0275952 0.0520501i
\(287\) −92.7708 + 62.9001i −0.323243 + 0.219164i
\(288\) 19.4495 + 47.0501i 0.0675331 + 0.163369i
\(289\) 31.8370 + 37.4814i 0.110163 + 0.129694i
\(290\) −14.7496 5.87678i −0.0508607 0.0202648i
\(291\) 276.510 348.550i 0.950208 1.19776i
\(292\) 92.8852 + 55.8872i 0.318100 + 0.191395i
\(293\) 19.7986 58.7602i 0.0675721 0.200547i −0.908547 0.417782i \(-0.862807\pi\)
0.976119 + 0.217236i \(0.0697040\pi\)
\(294\) −153.484 3.17268i −0.522053 0.0107914i
\(295\) 158.368 + 88.3088i 0.536841 + 0.299352i
\(296\) 111.579i 0.376956i
\(297\) −99.9533 40.7359i −0.336543 0.137158i
\(298\) −245.594 147.769i −0.824142 0.495870i
\(299\) −8.69492 + 11.4380i −0.0290800 + 0.0382541i
\(300\) −85.9676 36.3289i −0.286559 0.121096i
\(301\) 255.191 + 300.434i 0.847809 + 0.998118i
\(302\) 81.3968 + 175.936i 0.269526 + 0.582570i
\(303\) −52.2223 80.5576i −0.172351 0.265867i
\(304\) −38.8806 73.3366i −0.127897 0.241239i
\(305\) −83.9613 71.3173i −0.275283 0.233827i
\(306\) 60.5352 187.581i 0.197827 0.613010i
\(307\) 105.295 + 264.269i 0.342979 + 0.860812i 0.994744 + 0.102392i \(0.0326495\pi\)
−0.651765 + 0.758421i \(0.725971\pi\)
\(308\) −65.1962 34.5649i −0.211676 0.112224i
\(309\) 9.19168 + 104.584i 0.0297465 + 0.338460i
\(310\) −21.4813 + 16.3297i −0.0692946 + 0.0526764i
\(311\) 359.232 99.7402i 1.15509 0.320708i 0.363398 0.931634i \(-0.381616\pi\)
0.791688 + 0.610926i \(0.209203\pi\)
\(312\) 22.7270 + 11.0905i 0.0728431 + 0.0355465i
\(313\) −55.2904 337.256i −0.176647 1.07750i −0.915111 0.403203i \(-0.867897\pi\)
0.738464 0.674293i \(-0.235551\pi\)
\(314\) 53.0288 + 240.912i 0.168882 + 0.767237i
\(315\) 122.462 + 223.996i 0.388769 + 0.711099i
\(316\) 161.051 + 17.5153i 0.509655 + 0.0554283i
\(317\) 183.191 + 124.207i 0.577891 + 0.391820i 0.814826 0.579706i \(-0.196833\pi\)
−0.236935 + 0.971525i \(0.576143\pi\)
\(318\) 51.0288 + 9.45260i 0.160468 + 0.0297252i
\(319\) −0.790614 14.5820i −0.00247841 0.0457117i
\(320\) 16.9081 17.8497i 0.0528378 0.0557802i
\(321\) 209.403 190.302i 0.652345 0.592841i
\(322\) −3.40666 + 62.8322i −0.0105797 + 0.195131i
\(323\) −69.0831 + 313.848i −0.213879 + 0.971664i
\(324\) 157.267 38.8727i 0.485392 0.119977i
\(325\) −43.9312 + 14.8021i −0.135173 + 0.0455450i
\(326\) 89.9486 408.641i 0.275916 1.25350i
\(327\) 438.601 + 32.8835i 1.34129 + 0.100561i
\(328\) 24.9370 23.6215i 0.0760273 0.0720169i
\(329\) −249.971 + 263.891i −0.759790 + 0.802101i
\(330\) 1.74570 + 52.0954i 0.00529001 + 0.157865i
\(331\) −77.3823 + 472.011i −0.233783 + 1.42601i 0.565345 + 0.824855i \(0.308743\pi\)
−0.799128 + 0.601160i \(0.794705\pi\)
\(332\) 256.104 + 173.642i 0.771396 + 0.523020i
\(333\) −351.073 52.9400i −1.05427 0.158979i
\(334\) 16.4529 9.89937i 0.0492601 0.0296388i
\(335\) −44.2776 201.155i −0.132172 0.600463i
\(336\) 109.642 15.6554i 0.326316 0.0465936i
\(337\) −104.210 48.2127i −0.309229 0.143064i 0.259137 0.965841i \(-0.416562\pi\)
−0.568365 + 0.822776i \(0.692424\pi\)
\(338\) −218.187 + 60.5793i −0.645524 + 0.179229i
\(339\) −113.617 + 82.7208i −0.335153 + 0.244014i
\(340\) −94.6298 + 10.2916i −0.278323 + 0.0302694i
\(341\) −21.9275 11.6252i −0.0643035 0.0340916i
\(342\) −249.194 + 87.5388i −0.728638 + 0.255961i
\(343\) 31.6444 113.973i 0.0922577 0.332282i
\(344\) −92.0691 78.2042i −0.267643 0.227338i
\(345\) 39.6923 20.0038i 0.115050 0.0579820i
\(346\) −163.795 241.580i −0.473397 0.698208i
\(347\) −31.2059 67.4506i −0.0899307 0.194382i 0.857391 0.514666i \(-0.172084\pi\)
−0.947322 + 0.320284i \(0.896222\pi\)
\(348\) 13.8413 + 16.9949i 0.0397738 + 0.0488360i
\(349\) −150.403 + 377.484i −0.430955 + 1.08161i 0.539854 + 0.841759i \(0.318480\pi\)
−0.970808 + 0.239856i \(0.922900\pi\)
\(350\) −122.868 + 161.630i −0.351051 + 0.461800i
\(351\) 45.6784 66.2465i 0.130138 0.188736i
\(352\) 21.4301 + 7.22066i 0.0608811 + 0.0205132i
\(353\) 575.948i 1.63158i 0.578347 + 0.815791i \(0.303698\pi\)
−0.578347 + 0.815791i \(0.696302\pi\)
\(354\) −131.682 212.880i −0.371984 0.601355i
\(355\) −274.965 −0.774550
\(356\) 29.1523 86.5209i 0.0818885 0.243036i
\(357\) −362.765 228.611i −1.01615 0.640366i
\(358\) 149.053 + 113.307i 0.416349 + 0.316500i
\(359\) −364.665 145.296i −1.01578 0.404724i −0.197968 0.980209i \(-0.563434\pi\)
−0.817813 + 0.575485i \(0.804813\pi\)
\(360\) −48.1401 61.6688i −0.133723 0.171302i
\(361\) 63.1872 29.2335i 0.175034 0.0809793i
\(362\) −115.721 + 78.4607i −0.319671 + 0.216742i
\(363\) 281.347 141.791i 0.775062 0.390609i
\(364\) 35.6150 41.9292i 0.0978434 0.115190i
\(365\) −160.505 44.5640i −0.439740 0.122093i
\(366\) 53.3575 + 142.408i 0.145786 + 0.389094i
\(367\) 301.105 567.945i 0.820451 1.54753i −0.0162460 0.999868i \(-0.505172\pi\)
0.836697 0.547666i \(-0.184484\pi\)
\(368\) −2.08491 19.1704i −0.00566551 0.0520935i
\(369\) −62.4914 89.6694i −0.169353 0.243006i
\(370\) 45.8699 + 165.209i 0.123973 + 0.446510i
\(371\) 47.4044 102.463i 0.127775 0.276181i
\(372\) 36.8761 5.26541i 0.0991292 0.0141543i
\(373\) −355.885 + 78.3363i −0.954116 + 0.210017i −0.664636 0.747167i \(-0.731413\pi\)
−0.289480 + 0.957184i \(0.593482\pi\)
\(374\) −45.1372 75.0186i −0.120688 0.200584i
\(375\) 370.805 + 48.1006i 0.988814 + 0.128268i
\(376\) 62.5121 92.1985i 0.166256 0.245209i
\(377\) 10.7437 + 1.76134i 0.0284980 + 0.00467200i
\(378\) 2.76267 352.407i 0.00730865 0.932294i
\(379\) −36.7101 34.7736i −0.0968604 0.0917510i 0.637737 0.770254i \(-0.279871\pi\)
−0.734598 + 0.678503i \(0.762629\pi\)
\(380\) 87.7169 + 92.6016i 0.230834 + 0.243688i
\(381\) −212.546 15.9354i −0.557864 0.0418251i
\(382\) 5.23110 + 1.15145i 0.0136940 + 0.00301427i
\(383\) 133.829 + 397.189i 0.349422 + 1.03705i 0.967920 + 0.251260i \(0.0808451\pi\)
−0.618498 + 0.785787i \(0.712258\pi\)
\(384\) −32.3815 + 10.1704i −0.0843269 + 0.0264854i
\(385\) 110.742 + 24.3762i 0.287641 + 0.0633147i
\(386\) −27.1680 1.47301i −0.0703835 0.00381608i
\(387\) −289.746 + 252.582i −0.748697 + 0.652667i
\(388\) 215.335 + 203.976i 0.554987 + 0.525712i
\(389\) −459.138 + 24.8937i −1.18030 + 0.0639941i −0.633823 0.773478i \(-0.718515\pi\)
−0.546479 + 0.837473i \(0.684032\pi\)
\(390\) −38.2099 7.07803i −0.0979742 0.0181488i
\(391\) −41.8965 + 61.7927i −0.107152 + 0.158038i
\(392\) 11.0654 101.744i 0.0282279 0.259552i
\(393\) 183.789 105.472i 0.467658 0.268375i
\(394\) −77.1932 + 16.9915i −0.195922 + 0.0431257i
\(395\) −245.660 + 40.2739i −0.621923 + 0.101959i
\(396\) 32.8869 64.0021i 0.0830478 0.161621i
\(397\) −20.7948 74.8960i −0.0523798 0.188655i 0.932732 0.360571i \(-0.117418\pi\)
−0.985112 + 0.171916i \(0.945004\pi\)
\(398\) −296.459 389.985i −0.744872 0.979863i
\(399\) 50.3045 + 572.371i 0.126076 + 1.43451i
\(400\) 29.1439 54.9713i 0.0728598 0.137428i
\(401\) 593.236 236.367i 1.47939 0.589443i 0.515773 0.856725i \(-0.327505\pi\)
0.963618 + 0.267282i \(0.0861254\pi\)
\(402\) −81.7144 + 272.343i −0.203270 + 0.677471i
\(403\) 11.9784 14.1021i 0.0297231 0.0349928i
\(404\) 56.5469 29.9793i 0.139968 0.0742061i
\(405\) −216.876 + 122.209i −0.535496 + 0.301750i
\(406\) 43.2744 20.0209i 0.106587 0.0493125i
\(407\) −120.195 + 102.094i −0.295318 + 0.250846i
\(408\) 121.041 + 51.1503i 0.296668 + 0.125368i
\(409\) 147.696 + 112.276i 0.361116 + 0.274513i 0.769961 0.638090i \(-0.220275\pi\)
−0.408845 + 0.912604i \(0.634068\pi\)
\(410\) −27.2120 + 45.2266i −0.0663707 + 0.110309i
\(411\) −22.2582 8.01560i −0.0541562 0.0195027i
\(412\) −69.9916 −0.169883
\(413\) −519.604 + 162.903i −1.25812 + 0.394438i
\(414\) −61.3072 2.53567i −0.148085 0.00612480i
\(415\) −450.582 151.819i −1.08574 0.365829i
\(416\) −8.69178 + 14.4459i −0.0208937 + 0.0347256i
\(417\) −199.222 + 251.126i −0.477752 + 0.602220i
\(418\) −43.4238 + 108.985i −0.103885 + 0.260731i
\(419\) −482.567 + 409.896i −1.15171 + 0.978271i −0.999949 0.0101456i \(-0.996770\pi\)
−0.151762 + 0.988417i \(0.548495\pi\)
\(420\) −155.905 + 68.2539i −0.371203 + 0.162509i
\(421\) −261.022 384.978i −0.620004 0.914438i 0.379940 0.925011i \(-0.375945\pi\)
−0.999944 + 0.0105733i \(0.996634\pi\)
\(422\) −186.621 + 98.9400i −0.442229 + 0.234455i
\(423\) −260.434 240.433i −0.615684 0.568400i
\(424\) −9.25593 + 33.3368i −0.0218300 + 0.0786246i
\(425\) −223.776 + 89.1604i −0.526531 + 0.209789i
\(426\) 331.620 + 184.693i 0.778452 + 0.433552i
\(427\) 328.891 35.7690i 0.770235 0.0837681i
\(428\) 114.159 + 150.173i 0.266726 + 0.350872i
\(429\) −8.84827 34.6297i −0.0206253 0.0807219i
\(430\) 168.471 + 77.9431i 0.391794 + 0.181263i
\(431\) 87.6589 14.3709i 0.203385 0.0333432i −0.0592283 0.998244i \(-0.518864\pi\)
0.262613 + 0.964901i \(0.415416\pi\)
\(432\) 16.6364 + 106.711i 0.0385103 + 0.247016i
\(433\) −40.3071 + 24.2520i −0.0930881 + 0.0560092i −0.561337 0.827587i \(-0.689713\pi\)
0.468249 + 0.883597i \(0.344885\pi\)
\(434\) 8.76138 80.5596i 0.0201875 0.185621i
\(435\) −27.4806 19.4733i −0.0631738 0.0447662i
\(436\) −47.4379 + 289.358i −0.108803 + 0.663666i
\(437\) 99.8932 5.41605i 0.228588 0.0123937i
\(438\) 163.643 + 161.557i 0.373614 + 0.368852i
\(439\) 351.481 332.941i 0.800641 0.758407i −0.173383 0.984855i \(-0.555470\pi\)
0.974023 + 0.226447i \(0.0727111\pi\)
\(440\) −34.6988 1.88131i −0.0788609 0.00427572i
\(441\) −314.879 83.0899i −0.714011 0.188413i
\(442\) 61.8542 20.8411i 0.139942 0.0471518i
\(443\) 261.810 + 777.024i 0.590993 + 1.75400i 0.654543 + 0.756025i \(0.272861\pi\)
−0.0635500 + 0.997979i \(0.520242\pi\)
\(444\) 55.6488 230.060i 0.125335 0.518153i
\(445\) −7.59552 + 140.091i −0.0170686 + 0.314812i
\(446\) 247.256 + 261.025i 0.554386 + 0.585258i
\(447\) −432.682 427.167i −0.967969 0.955630i
\(448\) 3.99741 + 73.7279i 0.00892279 + 0.164571i
\(449\) 269.646 + 44.2062i 0.600547 + 0.0984547i 0.454384 0.890806i \(-0.349859\pi\)
0.146163 + 0.989261i \(0.453308\pi\)
\(450\) −159.134 117.781i −0.353632 0.261734i
\(451\) −48.2627 5.24889i −0.107013 0.0116383i
\(452\) −48.3040 80.2818i −0.106867 0.177615i
\(453\) 80.0822 + 403.351i 0.176782 + 0.890400i
\(454\) 78.6666 + 479.845i 0.173274 + 1.05693i
\(455\) −35.4961 + 76.7235i −0.0780133 + 0.168623i
\(456\) −43.5904 170.601i −0.0955930 0.374125i
\(457\) 239.968 182.419i 0.525095 0.399167i −0.308769 0.951137i \(-0.599917\pi\)
0.833864 + 0.551970i \(0.186124\pi\)
\(458\) 2.02935 + 18.6596i 0.00443090 + 0.0407414i
\(459\) 218.369 356.574i 0.475750 0.776851i
\(460\) 10.9679 + 27.5275i 0.0238434 + 0.0598423i
\(461\) −128.013 35.5427i −0.277686 0.0770992i 0.125893 0.992044i \(-0.459820\pi\)
−0.403580 + 0.914945i \(0.632234\pi\)
\(462\) −117.187 103.784i −0.253650 0.224640i
\(463\) 36.4812 + 68.8108i 0.0787930 + 0.148619i 0.919778 0.392439i \(-0.128369\pi\)
−0.840985 + 0.541058i \(0.818024\pi\)
\(464\) −12.0943 + 8.20015i −0.0260653 + 0.0176727i
\(465\) −52.4357 + 22.9559i −0.112765 + 0.0493675i
\(466\) 219.124 + 257.973i 0.470224 + 0.553591i
\(467\) 414.647 + 165.210i 0.887895 + 0.353770i 0.769084 0.639147i \(-0.220713\pi\)
0.118810 + 0.992917i \(0.462092\pi\)
\(468\) 41.3286 + 34.2019i 0.0883091 + 0.0730810i
\(469\) 530.013 + 318.898i 1.13009 + 0.679954i
\(470\) −54.6555 + 162.212i −0.116288 + 0.345131i
\(471\) −10.8146 + 523.174i −0.0229610 + 1.11077i
\(472\) 149.061 75.0260i 0.315807 0.158953i
\(473\) 170.735i 0.360962i
\(474\) 323.329 + 116.437i 0.682128 + 0.245647i
\(475\) 276.580 + 166.412i 0.582273 + 0.350342i
\(476\) 172.995 227.572i 0.363436 0.478091i
\(477\) 100.500 + 44.9400i 0.210691 + 0.0942138i
\(478\) 164.936 + 194.178i 0.345054 + 0.406229i
\(479\) −189.703 410.037i −0.396040 0.856026i −0.998331 0.0577498i \(-0.981607\pi\)
0.602291 0.798277i \(-0.294255\pi\)
\(480\) 43.7645 28.3708i 0.0911760 0.0591057i
\(481\) −55.0708 103.875i −0.114492 0.215955i
\(482\) 236.995 + 201.305i 0.491691 + 0.417646i
\(483\) −38.3609 + 127.852i −0.0794222 + 0.264704i
\(484\) 77.7432 + 195.121i 0.160626 + 0.403142i
\(485\) −402.689 213.492i −0.830286 0.440190i
\(486\) 343.650 1.71472i 0.707098 0.00352824i
\(487\) 111.064 84.4290i 0.228058 0.173365i −0.484905 0.874567i \(-0.661146\pi\)
0.712963 + 0.701202i \(0.247353\pi\)
\(488\) −97.6888 + 27.1231i −0.200182 + 0.0555802i
\(489\) 389.267 797.698i 0.796046 1.63128i
\(490\) 25.4431 + 155.196i 0.0519247 + 0.316726i
\(491\) 27.8097 + 126.341i 0.0566388 + 0.257313i 0.996429 0.0844405i \(-0.0269103\pi\)
−0.939790 + 0.341753i \(0.888979\pi\)
\(492\) 63.1975 36.2672i 0.128450 0.0737139i
\(493\) 56.2401 + 6.11647i 0.114077 + 0.0124066i
\(494\) −72.3919 49.0829i −0.146542 0.0993582i
\(495\) −22.3827 + 108.284i −0.0452175 + 0.218756i
\(496\) 1.34445 + 24.7970i 0.00271059 + 0.0499939i
\(497\) 567.870 599.493i 1.14260 1.20622i
\(498\) 441.447 + 485.755i 0.886439 + 0.975412i
\(499\) −38.8317 + 716.209i −0.0778190 + 1.43529i 0.655393 + 0.755288i \(0.272503\pi\)
−0.733212 + 0.680000i \(0.761980\pi\)
\(500\) −53.5867 + 243.447i −0.107173 + 0.486894i
\(501\) 38.8607 12.2054i 0.0775663 0.0243621i
\(502\) 82.4526 27.7815i 0.164248 0.0553417i
\(503\) 90.8016 412.516i 0.180520 0.820111i −0.796105 0.605159i \(-0.793110\pi\)
0.976625 0.214952i \(-0.0689594\pi\)
\(504\) 233.875 + 22.4036i 0.464037 + 0.0444516i
\(505\) −71.4014 + 67.6350i −0.141389 + 0.133931i
\(506\) −18.7430 + 19.7868i −0.0370415 + 0.0391043i
\(507\) −480.084 + 16.0875i −0.946911 + 0.0317307i
\(508\) 22.9885 140.223i 0.0452529 0.276030i
\(509\) 413.538 + 280.386i 0.812452 + 0.550856i 0.895174 0.445717i \(-0.147051\pi\)
−0.0827222 + 0.996573i \(0.526361\pi\)
\(510\) −200.246 25.9758i −0.392639 0.0509329i
\(511\) 428.643 257.906i 0.838832 0.504709i
\(512\) −4.86423 22.0984i −0.00950044 0.0431609i
\(513\) −557.462 + 56.2095i −1.08667 + 0.109570i
\(514\) 104.352 + 48.2784i 0.203020 + 0.0939269i
\(515\) 103.633 28.7735i 0.201228 0.0558708i
\(516\) −150.830 207.165i −0.292306 0.401482i
\(517\) −156.516 + 17.0221i −0.302739 + 0.0329249i
\(518\) −454.929 241.188i −0.878242 0.465614i
\(519\) −217.237 579.795i −0.418569 1.11714i
\(520\) 6.93076 24.9624i 0.0133284 0.0480045i
\(521\) 235.960 + 200.426i 0.452898 + 0.384695i 0.844601 0.535397i \(-0.179838\pi\)
−0.391703 + 0.920092i \(0.628114\pi\)
\(522\) 20.0627 + 41.9443i 0.0384344 + 0.0803531i
\(523\) −139.500 205.747i −0.266731 0.393399i 0.670611 0.741809i \(-0.266032\pi\)
−0.937342 + 0.348410i \(0.886722\pi\)
\(524\) 59.3171 + 128.212i 0.113201 + 0.244679i
\(525\) −333.947 + 271.979i −0.636090 + 0.518055i
\(526\) 208.106 522.307i 0.395639 0.992979i
\(527\) 58.1837 76.5393i 0.110405 0.145236i
\(528\) 40.5847 + 25.5760i 0.0768649 + 0.0484394i
\(529\) −479.284 161.490i −0.906020 0.305274i
\(530\) 53.1651i 0.100311i
\(531\) −165.339 504.603i −0.311372 0.950288i
\(532\) −383.052 −0.720022
\(533\) 11.5565 34.2984i 0.0216819 0.0643497i
\(534\) 103.259 163.854i 0.193369 0.306844i
\(535\) −230.764 175.423i −0.431335 0.327893i
\(536\) −176.096 70.1629i −0.328537 0.130901i
\(537\) 250.815 + 307.962i 0.467068 + 0.573486i
\(538\) 651.645 301.483i 1.21124 0.560378i
\(539\) −119.725 + 81.1758i −0.222125 + 0.150604i
\(540\) −68.5014 151.162i −0.126854 0.279929i
\(541\) −622.123 + 732.419i −1.14995 + 1.35382i −0.224717 + 0.974424i \(0.572146\pi\)
−0.925232 + 0.379401i \(0.876130\pi\)
\(542\) −597.537 165.905i −1.10247 0.306098i
\(543\) −277.732 + 104.060i −0.511476 + 0.191640i
\(544\) −41.0341 + 77.3984i −0.0754302 + 0.142277i
\(545\) −48.7162 447.938i −0.0893876 0.821905i
\(546\) 94.3448 68.6895i 0.172793 0.125805i
\(547\) −109.464 394.253i −0.200117 0.720755i −0.993678 0.112265i \(-0.964189\pi\)
0.793562 0.608490i \(-0.208224\pi\)
\(548\) 6.62235 14.3140i 0.0120846 0.0261204i
\(549\) 38.9909 + 320.238i 0.0710216 + 0.583311i
\(550\) −85.8826 + 18.9042i −0.156150 + 0.0343712i
\(551\) −39.0820 64.9547i −0.0709292 0.117885i
\(552\) 5.26226 40.5665i 0.00953308 0.0734901i
\(553\) 419.540 618.776i 0.758662 1.11894i
\(554\) 568.903 + 93.2670i 1.02690 + 0.168352i
\(555\) 12.1812 + 363.514i 0.0219482 + 0.654980i
\(556\) −155.146 146.962i −0.279040 0.264321i
\(557\) 509.855 + 538.247i 0.915359 + 0.966333i 0.999546 0.0301172i \(-0.00958805\pi\)
−0.0841874 + 0.996450i \(0.526829\pi\)
\(558\) 78.6593 + 7.53503i 0.140966 + 0.0135036i
\(559\) −124.310 27.3628i −0.222380 0.0489495i
\(560\) −36.2282 107.521i −0.0646932 0.192003i
\(561\) −55.6517 177.189i −0.0992009 0.315846i
\(562\) −584.430 128.643i −1.03991 0.228902i
\(563\) −690.340 37.4291i −1.22618 0.0664816i −0.570358 0.821396i \(-0.693195\pi\)
−0.655823 + 0.754915i \(0.727678\pi\)
\(564\) 174.874 158.923i 0.310061 0.281778i
\(565\) 104.525 + 99.0111i 0.185000 + 0.175241i
\(566\) −255.180 + 13.8355i −0.450848 + 0.0244443i
\(567\) 181.456 725.236i 0.320028 1.27908i
\(568\) −142.012 + 209.451i −0.250020 + 0.368753i
\(569\) −39.9999 + 367.793i −0.0702987 + 0.646386i 0.904987 + 0.425439i \(0.139880\pi\)
−0.975286 + 0.220947i \(0.929085\pi\)
\(570\) 134.676 + 234.679i 0.236273 + 0.411718i
\(571\) 375.546 82.6640i 0.657699 0.144771i 0.126433 0.991975i \(-0.459647\pi\)
0.531267 + 0.847205i \(0.321716\pi\)
\(572\) 23.5143 3.85497i 0.0411088 0.00673945i
\(573\) 10.2115 + 4.98308i 0.0178211 + 0.00869648i
\(574\) −42.4061 152.733i −0.0738783 0.266086i
\(575\) 45.3805 + 59.6970i 0.0789226 + 0.103821i
\(576\) −71.8385 + 4.81999i −0.124720 + 0.00836803i
\(577\) −124.349 + 234.548i −0.215510 + 0.406495i −0.967571 0.252598i \(-0.918715\pi\)
0.752061 + 0.659093i \(0.229060\pi\)
\(578\) −64.6083 + 25.7423i −0.111779 + 0.0445369i
\(579\) −55.2819 16.5869i −0.0954783 0.0286475i
\(580\) 14.5363 17.1135i 0.0250626 0.0295060i
\(581\) 1261.57 668.840i 2.17137 1.15119i
\(582\) 342.259 + 527.966i 0.588074 + 0.907158i
\(583\) 44.3801 20.5324i 0.0761237 0.0352186i
\(584\) −116.842 + 99.2469i −0.200073 + 0.169943i
\(585\) −75.2534 33.6507i −0.128638 0.0575226i
\(586\) 69.8092 + 53.0676i 0.119128 + 0.0905590i
\(587\) 468.842 779.222i 0.798709 1.32747i −0.142553 0.989787i \(-0.545531\pi\)
0.941262 0.337678i \(-0.109641\pi\)
\(588\) 73.5591 204.263i 0.125100 0.347387i
\(589\) −128.832 −0.218730
\(590\) −189.863 + 172.365i −0.321801 + 0.292145i
\(591\) −167.636 3.46523i −0.283648 0.00586333i
\(592\) 149.536 + 50.3846i 0.252595 + 0.0851092i
\(593\) 49.0723 81.5589i 0.0827527 0.137536i −0.812717 0.582659i \(-0.802012\pi\)
0.895470 + 0.445123i \(0.146840\pi\)
\(594\) 99.7285 115.561i 0.167893 0.194547i
\(595\) −162.590 + 408.071i −0.273261 + 0.685833i
\(596\) 308.938 262.415i 0.518353 0.440293i
\(597\) −416.756 951.951i −0.698083 1.59456i
\(598\) −11.4027 16.8177i −0.0190681 0.0281233i
\(599\) 694.799 368.359i 1.15993 0.614957i 0.226606 0.973987i \(-0.427237\pi\)
0.933326 + 0.359030i \(0.116892\pi\)
\(600\) 87.5070 98.8078i 0.145845 0.164680i
\(601\) 157.061 565.681i 0.261332 0.941233i −0.710136 0.704064i \(-0.751367\pi\)
0.971468 0.237169i \(-0.0762195\pi\)
\(602\) −517.870 + 206.338i −0.860250 + 0.342755i
\(603\) −304.312 + 520.779i −0.504663 + 0.863647i
\(604\) −272.542 + 29.6408i −0.451229 + 0.0490741i
\(605\) −195.324 256.944i −0.322849 0.424701i
\(606\) 131.544 33.6108i 0.217069 0.0554634i
\(607\) −748.911 346.483i −1.23379 0.570812i −0.308918 0.951089i \(-0.599967\pi\)
−0.924873 + 0.380276i \(0.875829\pi\)
\(608\) 115.841 18.9912i 0.190529 0.0312356i
\(609\) 99.2110 19.6976i 0.162908 0.0323441i
\(610\) 133.492 80.3195i 0.218839 0.131671i
\(611\) 12.6904 116.686i 0.0207698 0.190975i
\(612\) 224.058 + 165.833i 0.366108 + 0.270968i
\(613\) 1.36416 8.32099i 0.00222538 0.0135742i −0.985690 0.168565i \(-0.946087\pi\)
0.987916 + 0.154991i \(0.0495349\pi\)
\(614\) −401.716 + 21.7804i −0.654261 + 0.0354730i
\(615\) −78.6635 + 79.6792i −0.127908 + 0.129560i
\(616\) 75.7633 71.7668i 0.122992 0.116505i
\(617\) 649.672 + 35.2242i 1.05295 + 0.0570895i 0.572479 0.819919i \(-0.305982\pi\)
0.480474 + 0.877009i \(0.340464\pi\)
\(618\) −144.313 34.9076i −0.233516 0.0564848i
\(619\) −892.271 + 300.641i −1.44147 + 0.485688i −0.928052 0.372450i \(-0.878518\pi\)
−0.513419 + 0.858138i \(0.671621\pi\)
\(620\) −12.1847 36.1628i −0.0196527 0.0583271i
\(621\) −125.142 35.8045i −0.201517 0.0576562i
\(622\) −28.5447 + 526.475i −0.0458917 + 0.846423i
\(623\) −289.748 305.883i −0.465084 0.490984i
\(624\) −25.1259 + 25.4504i −0.0402659 + 0.0407859i
\(625\) 0.315081 + 5.81132i 0.000504129 + 0.00929811i
\(626\) 476.952 + 78.1924i 0.761905 + 0.124908i
\(627\) −143.889 + 203.055i −0.229488 + 0.323852i
\(628\) −346.812 37.7181i −0.552249 0.0600607i
\(629\) −314.960 523.468i −0.500732 0.832223i
\(630\) −355.495 + 62.9738i −0.564278 + 0.0999585i
\(631\) −31.1794 190.186i −0.0494127 0.301404i 0.950545 0.310586i \(-0.100525\pi\)
−0.999958 + 0.00918227i \(0.997077\pi\)
\(632\) −96.1980 + 207.929i −0.152212 + 0.329001i
\(633\) −434.130 + 110.925i −0.685830 + 0.175237i
\(634\) −249.182 + 189.423i −0.393032 + 0.298775i
\(635\) 23.6079 + 217.071i 0.0371779 + 0.341845i
\(636\) −35.7108 + 64.1195i −0.0561491 + 0.100817i
\(637\) −39.9155 100.180i −0.0626618 0.157269i
\(638\) 19.8996 + 5.52510i 0.0311906 + 0.00866002i
\(639\) 591.641 + 546.203i 0.925885 + 0.854778i
\(640\) 16.2868 + 30.7202i 0.0254481 + 0.0480003i
\(641\) 920.929 624.406i 1.43671 0.974112i 0.439593 0.898197i \(-0.355123\pi\)
0.997114 0.0759145i \(-0.0241876\pi\)
\(642\) 160.482 + 366.571i 0.249971 + 0.570983i
\(643\) −799.524 941.272i −1.24343 1.46388i −0.834218 0.551435i \(-0.814081\pi\)
−0.409209 0.912441i \(-0.634195\pi\)
\(644\) −82.6684 32.9381i −0.128367 0.0511461i
\(645\) 308.491 + 244.731i 0.478280 + 0.379428i
\(646\) −389.418 234.305i −0.602815 0.362701i
\(647\) 351.861 1044.29i 0.543835 1.61405i −0.224833 0.974397i \(-0.572184\pi\)
0.768668 0.639648i \(-0.220920\pi\)
\(648\) −18.9190 + 228.320i −0.0291960 + 0.352346i
\(649\) −217.209 91.9222i −0.334683 0.141637i
\(650\) 65.5599i 0.100861i
\(651\) 58.2430 161.733i 0.0894669 0.248437i
\(652\) 507.036 + 305.074i 0.777663 + 0.467904i
\(653\) 118.454 155.823i 0.181399 0.238627i −0.696402 0.717652i \(-0.745217\pi\)
0.877801 + 0.479025i \(0.159010\pi\)
\(654\) −242.125 + 572.957i −0.370221 + 0.876081i
\(655\) −140.535 165.451i −0.214558 0.252597i
\(656\) 20.3967 + 44.0867i 0.0310925 + 0.0672053i
\(657\) 256.834 + 414.723i 0.390919 + 0.631237i
\(658\) −240.786 454.170i −0.365936 0.690228i
\(659\) −317.176 269.412i −0.481299 0.408819i 0.373619 0.927582i \(-0.378117\pi\)
−0.854918 + 0.518763i \(0.826393\pi\)
\(660\) −70.6057 21.1847i −0.106978 0.0320980i
\(661\) −229.178 575.193i −0.346714 0.870186i −0.994144 0.108062i \(-0.965536\pi\)
0.647430 0.762125i \(-0.275844\pi\)
\(662\) −597.639 316.848i −0.902778 0.478622i
\(663\) 137.929 12.1223i 0.208037 0.0182840i
\(664\) −348.359 + 264.816i −0.524637 + 0.398819i
\(665\) 567.163 157.472i 0.852877 0.236800i
\(666\) 229.480 446.596i 0.344564 0.670565i
\(667\) −2.84911 17.3788i −0.00427153 0.0260552i
\(668\) 5.83750 + 26.5200i 0.00873878 + 0.0397007i
\(669\) 379.623 + 661.513i 0.567449 + 0.988808i
\(670\) 289.579 + 31.4936i 0.432207 + 0.0470054i
\(671\) 118.602 + 80.4144i 0.176755 + 0.119843i
\(672\) −28.5289 + 154.010i −0.0424538 + 0.229182i
\(673\) −2.91516 53.7669i −0.00433159 0.0798914i 0.995568 0.0940413i \(-0.0299786\pi\)
−0.999900 + 0.0141499i \(0.995496\pi\)
\(674\) 111.671 117.890i 0.165684 0.174911i
\(675\) −269.371 322.213i −0.399068 0.477353i
\(676\) 17.3372 319.766i 0.0256468 0.473027i
\(677\) 41.9201 190.445i 0.0619204 0.281307i −0.935479 0.353383i \(-0.885031\pi\)
0.997399 + 0.0720756i \(0.0229623\pi\)
\(678\) −59.5562 189.621i −0.0878410 0.279677i
\(679\) 1297.12 437.050i 1.91034 0.643667i
\(680\) 28.9384 131.469i 0.0425565 0.193336i
\(681\) −77.1183 + 1028.61i −0.113243 + 1.51044i
\(682\) 25.4815 24.1374i 0.0373630 0.0353921i
\(683\) −670.717 + 708.068i −0.982017 + 1.03670i 0.0173042 + 0.999850i \(0.494492\pi\)
−0.999321 + 0.0368520i \(0.988267\pi\)
\(684\) −4.79182 373.495i −0.00700558 0.546045i
\(685\) −3.92089 + 23.9164i −0.00572392 + 0.0349144i
\(686\) 138.455 + 93.8750i 0.201830 + 0.136844i
\(687\) −5.12203 + 39.4855i −0.00745565 + 0.0574753i
\(688\) 146.383 88.0756i 0.212766 0.128017i
\(689\) 7.83689 + 35.6033i 0.0113743 + 0.0516739i
\(690\) 8.88531 + 62.2279i 0.0128773 + 0.0901853i
\(691\) −756.889 350.174i −1.09535 0.506764i −0.212856 0.977083i \(-0.568277\pi\)
−0.882496 + 0.470319i \(0.844139\pi\)
\(692\) 397.725 110.428i 0.574747 0.159578i
\(693\) −189.861 272.433i −0.273970 0.393121i
\(694\) 104.488 11.3637i 0.150558 0.0163742i
\(695\) 290.132 + 153.818i 0.417457 + 0.221322i
\(696\) −29.0265 + 10.8756i −0.0417048 + 0.0156259i
\(697\) 50.3129 181.211i 0.0721849 0.259986i
\(698\) −437.981 372.025i −0.627480 0.532987i
\(699\) 323.142 + 641.190i 0.462292 + 0.917296i
\(700\) −161.132 237.651i −0.230188 0.339502i
\(701\) 338.198 + 731.003i 0.482451 + 1.04280i 0.984081 + 0.177718i \(0.0568716\pi\)
−0.501630 + 0.865082i \(0.667266\pi\)
\(702\) 68.1559 + 91.1317i 0.0970882 + 0.129817i
\(703\) −303.004 + 760.484i −0.431016 + 1.08177i
\(704\) −19.3540 + 25.4598i −0.0274915 + 0.0361644i
\(705\) −193.593 + 307.199i −0.274601 + 0.435743i
\(706\) −771.877 260.076i −1.09331 0.368379i
\(707\) 295.356i 0.417760i
\(708\) 344.761 80.3505i 0.486950 0.113489i
\(709\) 615.320 0.867870 0.433935 0.900944i \(-0.357125\pi\)
0.433935 + 0.900944i \(0.357125\pi\)
\(710\) 124.163 368.504i 0.174878 0.519019i
\(711\) 608.586 + 401.333i 0.855958 + 0.564462i
\(712\) 102.790 + 78.1389i 0.144368 + 0.109746i
\(713\) −27.8039 11.0781i −0.0389957 0.0155373i
\(714\) 470.191 382.941i 0.658531 0.536331i
\(715\) −33.2315 + 15.3745i −0.0464776 + 0.0215028i
\(716\) −219.159 + 148.593i −0.306088 + 0.207533i
\(717\) 243.231 + 482.627i 0.339234 + 0.673120i
\(718\) 359.392 423.109i 0.500545 0.589288i
\(719\) −500.781 139.041i −0.696497 0.193381i −0.0988046 0.995107i \(-0.531502\pi\)
−0.597693 + 0.801725i \(0.703916\pi\)
\(720\) 104.386 36.6694i 0.144980 0.0509297i
\(721\) −151.293 + 285.370i −0.209838 + 0.395797i
\(722\) 10.6454 + 97.8832i 0.0147444 + 0.135572i
\(723\) 388.251 + 533.262i 0.537000 + 0.737568i
\(724\) −52.8968 190.517i −0.0730619 0.263145i
\(725\) 23.8590 51.5704i 0.0329090 0.0711316i
\(726\) 62.9810 + 441.085i 0.0867507 + 0.607554i
\(727\) 603.336 132.804i 0.829898 0.182674i 0.220347 0.975422i \(-0.429281\pi\)
0.609550 + 0.792747i \(0.291350\pi\)
\(728\) 40.1105 + 66.6642i 0.0550969 + 0.0915717i
\(729\) 709.412 + 167.856i 0.973130 + 0.230255i
\(730\) 132.202 194.983i 0.181098 0.267100i
\(731\) −652.690 107.003i −0.892873 0.146379i
\(732\) −214.948 + 7.20284i −0.293644 + 0.00983994i
\(733\) −878.985 832.619i −1.19916 1.13591i −0.987343 0.158597i \(-0.949303\pi\)
−0.211818 0.977309i \(-0.567938\pi\)
\(734\) 625.184 + 659.998i 0.851749 + 0.899180i
\(735\) −24.9423 + 332.682i −0.0339352 + 0.452628i
\(736\) 26.6334 + 5.86245i 0.0361866 + 0.00796528i
\(737\) 85.5462 + 253.892i 0.116073 + 0.344494i
\(738\) 148.392 43.2588i 0.201073 0.0586162i
\(739\) 301.766 + 66.4237i 0.408344 + 0.0898833i 0.414392 0.910098i \(-0.363994\pi\)
−0.00604832 + 0.999982i \(0.501925\pi\)
\(740\) −242.123 13.1275i −0.327193 0.0177399i
\(741\) −124.782 137.307i −0.168397 0.185299i
\(742\) 115.913 + 109.799i 0.156217 + 0.147977i
\(743\) −1343.62 + 72.8489i −1.80837 + 0.0980470i −0.927157 0.374673i \(-0.877755\pi\)
−0.881213 + 0.472720i \(0.843272\pi\)
\(744\) −9.59516 + 51.7984i −0.0128967 + 0.0696215i
\(745\) −349.550 + 515.547i −0.469194 + 0.692009i
\(746\) 55.7187 512.325i 0.0746900 0.686763i
\(747\) 667.935 + 1221.73i 0.894157 + 1.63551i
\(748\) 120.921 26.6167i 0.161659 0.0355838i
\(749\) 859.050 140.834i 1.14693 0.188030i
\(750\) −231.905 + 475.227i −0.309206 + 0.633636i
\(751\) −188.770 679.890i −0.251359 0.905313i