Properties

Label 108.3.j.a.7.19
Level 108
Weight 3
Character 108.7
Analytic conductor 2.943
Analytic rank 0
Dimension 204
CM no
Inner twists 4

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 108 = 2^{2} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 108.j (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.94278685509\)
Analytic rank: \(0\)
Dimension: \(204\)
Relative dimension: \(34\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 7.19
Character \(\chi\) \(=\) 108.7
Dual form 108.3.j.a.31.19

$q$-expansion

\(f(q)\) \(=\) \(q+(0.277531 - 1.98065i) q^{2} +(-2.64062 - 1.42377i) q^{3} +(-3.84595 - 1.09938i) q^{4} +(-0.542224 - 3.07510i) q^{5} +(-3.55285 + 4.83500i) q^{6} +(-2.98812 + 3.56110i) q^{7} +(-3.24486 + 7.31238i) q^{8} +(4.94574 + 7.51929i) q^{9} +O(q^{10})\) \(q+(0.277531 - 1.98065i) q^{2} +(-2.64062 - 1.42377i) q^{3} +(-3.84595 - 1.09938i) q^{4} +(-0.542224 - 3.07510i) q^{5} +(-3.55285 + 4.83500i) q^{6} +(-2.98812 + 3.56110i) q^{7} +(-3.24486 + 7.31238i) q^{8} +(4.94574 + 7.51929i) q^{9} +(-6.24119 + 0.220520i) q^{10} +(2.54564 + 0.448865i) q^{11} +(8.59043 + 8.37882i) q^{12} +(-16.7420 - 6.09358i) q^{13} +(6.22401 + 6.90674i) q^{14} +(-2.94645 + 8.89218i) q^{15} +(13.5827 + 8.45635i) q^{16} +(-10.3549 - 17.9352i) q^{17} +(16.2657 - 7.70894i) q^{18} +(-24.5104 - 14.1511i) q^{19} +(-1.29535 + 12.4228i) q^{20} +(12.9607 - 5.14911i) q^{21} +(1.59554 - 4.91745i) q^{22} +(14.6669 + 17.4793i) q^{23} +(18.9796 - 14.6893i) q^{24} +(14.3301 - 5.21572i) q^{25} +(-16.7157 + 31.4689i) q^{26} +(-2.35404 - 26.8972i) q^{27} +(15.4072 - 10.4108i) q^{28} +(5.90052 - 2.14762i) q^{29} +(16.7946 + 8.30373i) q^{30} +(-22.3759 - 26.6666i) q^{31} +(20.5187 - 24.5557i) q^{32} +(-6.08298 - 4.80969i) q^{33} +(-38.3971 + 15.5318i) q^{34} +(12.5710 + 7.25787i) q^{35} +(-10.7545 - 34.3561i) q^{36} +(-22.9733 - 39.7909i) q^{37} +(-34.8307 + 44.6192i) q^{38} +(35.5333 + 39.9276i) q^{39} +(24.2458 + 6.01334i) q^{40} +(-4.27327 - 1.55534i) q^{41} +(-6.60160 - 27.0996i) q^{42} +(-12.6921 - 2.23796i) q^{43} +(-9.29693 - 4.52494i) q^{44} +(20.4409 - 19.2858i) q^{45} +(38.6910 - 24.1990i) q^{46} +(1.37925 - 1.64373i) q^{47} +(-23.8269 - 41.6687i) q^{48} +(4.75617 + 26.9736i) q^{49} +(-6.35348 - 29.8304i) q^{50} +(1.80765 + 62.1030i) q^{51} +(57.6897 + 41.8415i) q^{52} -31.8446 q^{53} +(-53.9272 - 2.80227i) q^{54} -8.07149i q^{55} +(-16.3441 - 33.4056i) q^{56} +(44.5747 + 72.2649i) q^{57} +(-2.61610 - 12.2829i) q^{58} +(111.470 - 19.6551i) q^{59} +(21.1078 - 30.9596i) q^{60} +(63.3215 + 53.1331i) q^{61} +(-59.0272 + 36.9181i) q^{62} +(-41.5554 - 4.85626i) q^{63} +(-42.9417 - 47.4553i) q^{64} +(-9.66050 + 54.7874i) q^{65} +(-11.2145 + 10.7134i) q^{66} +(10.8572 - 29.8298i) q^{67} +(20.1068 + 80.3619i) q^{68} +(-13.8431 - 67.0387i) q^{69} +(17.8641 - 22.8845i) q^{70} +(-0.0648998 + 0.0374699i) q^{71} +(-71.0321 + 11.7660i) q^{72} +(-60.1132 + 104.119i) q^{73} +(-85.1877 + 34.4589i) q^{74} +(-45.2662 - 6.63005i) q^{75} +(78.7084 + 81.3707i) q^{76} +(-9.20513 + 7.72402i) q^{77} +(88.9442 - 59.2979i) q^{78} +(-0.117809 - 0.323678i) q^{79} +(18.6393 - 46.3535i) q^{80} +(-32.0794 + 74.3768i) q^{81} +(-4.26656 + 8.03220i) q^{82} +(-32.5283 - 89.3708i) q^{83} +(-55.5071 + 5.55448i) q^{84} +(-49.5379 + 41.5672i) q^{85} +(-7.95507 + 24.5175i) q^{86} +(-18.6388 - 2.72998i) q^{87} +(-11.5425 + 17.1582i) q^{88} +(59.4029 - 102.889i) q^{89} +(-32.5254 - 45.8387i) q^{90} +(71.7269 - 41.4116i) q^{91} +(-37.1918 - 83.3493i) q^{92} +(21.1191 + 102.275i) q^{93} +(-2.87287 - 3.18801i) q^{94} +(-30.2259 + 83.0451i) q^{95} +(-89.1438 + 35.6283i) q^{96} +(11.2136 - 63.5953i) q^{97} +(54.7452 - 1.93431i) q^{98} +(9.21491 + 21.3614i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 204q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 3q^{8} - 12q^{9} + O(q^{10}) \) \( 204q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 3q^{8} - 12q^{9} - 3q^{10} + 39q^{12} - 12q^{13} + 39q^{14} - 6q^{16} - 6q^{17} - 27q^{18} - 69q^{20} - 12q^{21} - 6q^{22} - 138q^{24} - 12q^{25} - 174q^{26} - 12q^{28} + 60q^{29} - 153q^{30} - 96q^{32} + 48q^{33} + 6q^{34} + 24q^{36} - 6q^{37} + 72q^{38} + 69q^{40} - 192q^{41} - 126q^{42} - 219q^{44} - 132q^{45} - 3q^{46} - 219q^{48} - 12q^{49} - 165q^{50} + 21q^{52} - 24q^{53} + 78q^{54} + 99q^{56} - 150q^{57} - 141q^{58} + 210q^{60} - 12q^{61} + 294q^{62} - 3q^{64} - 156q^{65} + 393q^{66} + 375q^{68} - 60q^{69} - 165q^{70} + 228q^{72} - 6q^{73} + 447q^{74} - 54q^{76} + 132q^{77} + 750q^{78} + 798q^{80} + 228q^{81} - 12q^{82} + 762q^{84} + 138q^{85} + 606q^{86} - 198q^{88} - 114q^{89} + 894q^{90} + 723q^{92} - 1020q^{93} - 357q^{94} + 474q^{96} + 168q^{97} + 510q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(55\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.277531 1.98065i 0.138765 0.990325i
\(3\) −2.64062 1.42377i −0.880206 0.474591i
\(4\) −3.84595 1.09938i −0.961488 0.274846i
\(5\) −0.542224 3.07510i −0.108445 0.615021i −0.989788 0.142545i \(-0.954471\pi\)
0.881344 0.472476i \(-0.156640\pi\)
\(6\) −3.55285 + 4.83500i −0.592142 + 0.805834i
\(7\) −2.98812 + 3.56110i −0.426874 + 0.508729i −0.936018 0.351953i \(-0.885518\pi\)
0.509143 + 0.860682i \(0.329962\pi\)
\(8\) −3.24486 + 7.31238i −0.405608 + 0.914047i
\(9\) 4.94574 + 7.51929i 0.549526 + 0.835476i
\(10\) −6.24119 + 0.220520i −0.624119 + 0.0220520i
\(11\) 2.54564 + 0.448865i 0.231422 + 0.0408059i 0.288156 0.957583i \(-0.406958\pi\)
−0.0567345 + 0.998389i \(0.518069\pi\)
\(12\) 8.59043 + 8.37882i 0.715869 + 0.698235i
\(13\) −16.7420 6.09358i −1.28784 0.468737i −0.394825 0.918756i \(-0.629195\pi\)
−0.893019 + 0.450019i \(0.851417\pi\)
\(14\) 6.22401 + 6.90674i 0.444572 + 0.493339i
\(15\) −2.94645 + 8.89218i −0.196430 + 0.592812i
\(16\) 13.5827 + 8.45635i 0.848920 + 0.528522i
\(17\) −10.3549 17.9352i −0.609111 1.05501i −0.991387 0.130963i \(-0.958193\pi\)
0.382276 0.924048i \(-0.375140\pi\)
\(18\) 16.2657 7.70894i 0.903649 0.428275i
\(19\) −24.5104 14.1511i −1.29002 0.744794i −0.311363 0.950291i \(-0.600786\pi\)
−0.978658 + 0.205497i \(0.934119\pi\)
\(20\) −1.29535 + 12.4228i −0.0647674 + 0.621141i
\(21\) 12.9607 5.14911i 0.617176 0.245196i
\(22\) 1.59554 4.91745i 0.0725244 0.223520i
\(23\) 14.6669 + 17.4793i 0.637692 + 0.759972i 0.984004 0.178148i \(-0.0570105\pi\)
−0.346312 + 0.938119i \(0.612566\pi\)
\(24\) 18.9796 14.6893i 0.790817 0.612052i
\(25\) 14.3301 5.21572i 0.573202 0.208629i
\(26\) −16.7157 + 31.4689i −0.642910 + 1.21034i
\(27\) −2.35404 26.8972i −0.0871866 0.996192i
\(28\) 15.4072 10.4108i 0.550257 0.371813i
\(29\) 5.90052 2.14762i 0.203466 0.0740557i −0.238277 0.971197i \(-0.576583\pi\)
0.441743 + 0.897142i \(0.354360\pi\)
\(30\) 16.7946 + 8.30373i 0.559819 + 0.276791i
\(31\) −22.3759 26.6666i −0.721804 0.860213i 0.273001 0.962014i \(-0.411984\pi\)
−0.994805 + 0.101801i \(0.967539\pi\)
\(32\) 20.5187 24.5557i 0.641209 0.767366i
\(33\) −6.08298 4.80969i −0.184333 0.145748i
\(34\) −38.3971 + 15.5318i −1.12933 + 0.456819i
\(35\) 12.5710 + 7.25787i 0.359171 + 0.207368i
\(36\) −10.7545 34.3561i −0.298736 0.954336i
\(37\) −22.9733 39.7909i −0.620900 1.07543i −0.989318 0.145770i \(-0.953434\pi\)
0.368419 0.929660i \(-0.379899\pi\)
\(38\) −34.8307 + 44.6192i −0.916599 + 1.17419i
\(39\) 35.5333 + 39.9276i 0.911110 + 1.02378i
\(40\) 24.2458 + 6.01334i 0.606144 + 0.150334i
\(41\) −4.27327 1.55534i −0.104226 0.0379352i 0.289381 0.957214i \(-0.406551\pi\)
−0.393607 + 0.919279i \(0.628773\pi\)
\(42\) −6.60160 27.0996i −0.157181 0.645230i
\(43\) −12.6921 2.23796i −0.295165 0.0520456i 0.0241045 0.999709i \(-0.492327\pi\)
−0.319270 + 0.947664i \(0.603438\pi\)
\(44\) −9.29693 4.52494i −0.211294 0.102840i
\(45\) 20.4409 19.2858i 0.454242 0.428573i
\(46\) 38.6910 24.1990i 0.841109 0.526065i
\(47\) 1.37925 1.64373i 0.0293458 0.0349730i −0.751172 0.660107i \(-0.770511\pi\)
0.780518 + 0.625134i \(0.214956\pi\)
\(48\) −23.8269 41.6687i −0.496393 0.868098i
\(49\) 4.75617 + 26.9736i 0.0970646 + 0.550481i
\(50\) −6.35348 29.8304i −0.127070 0.596607i
\(51\) 1.80765 + 62.1030i 0.0354442 + 1.21771i
\(52\) 57.6897 + 41.8415i 1.10942 + 0.804644i
\(53\) −31.8446 −0.600841 −0.300420 0.953807i \(-0.597127\pi\)
−0.300420 + 0.953807i \(0.597127\pi\)
\(54\) −53.9272 2.80227i −0.998653 0.0518938i
\(55\) 8.07149i 0.146754i
\(56\) −16.3441 33.4056i −0.291859 0.596528i
\(57\) 44.5747 + 72.2649i 0.782012 + 1.26781i
\(58\) −2.61610 12.2829i −0.0451052 0.211774i
\(59\) 111.470 19.6551i 1.88932 0.333138i 0.895583 0.444894i \(-0.146759\pi\)
0.993736 + 0.111757i \(0.0356477\pi\)
\(60\) 21.1078 30.9596i 0.351797 0.515994i
\(61\) 63.3215 + 53.1331i 1.03806 + 0.871034i 0.991788 0.127895i \(-0.0408222\pi\)
0.0462698 + 0.998929i \(0.485267\pi\)
\(62\) −59.0272 + 36.9181i −0.952052 + 0.595453i
\(63\) −41.5554 4.85626i −0.659610 0.0770836i
\(64\) −42.9417 47.4553i −0.670965 0.741489i
\(65\) −9.66050 + 54.7874i −0.148623 + 0.842883i
\(66\) −11.2145 + 10.7134i −0.169917 + 0.162325i
\(67\) 10.8572 29.8298i 0.162047 0.445221i −0.831921 0.554895i \(-0.812759\pi\)
0.993968 + 0.109674i \(0.0349807\pi\)
\(68\) 20.1068 + 80.3619i 0.295688 + 1.18179i
\(69\) −13.8431 67.0387i −0.200624 0.971575i
\(70\) 17.8641 22.8845i 0.255202 0.326921i
\(71\) −0.0648998 + 0.0374699i −0.000914081 + 0.000527745i −0.500457 0.865761i \(-0.666835\pi\)
0.499543 + 0.866289i \(0.333501\pi\)
\(72\) −71.0321 + 11.7660i −0.986557 + 0.163417i
\(73\) −60.1132 + 104.119i −0.823469 + 1.42629i 0.0796145 + 0.996826i \(0.474631\pi\)
−0.903084 + 0.429465i \(0.858702\pi\)
\(74\) −85.1877 + 34.4589i −1.15119 + 0.465660i
\(75\) −45.2662 6.63005i −0.603550 0.0884007i
\(76\) 78.7084 + 81.3707i 1.03564 + 1.07067i
\(77\) −9.20513 + 7.72402i −0.119547 + 0.100312i
\(78\) 88.9442 59.2979i 1.14031 0.760230i
\(79\) −0.117809 0.323678i −0.00149126 0.00409720i 0.938945 0.344068i \(-0.111805\pi\)
−0.940436 + 0.339971i \(0.889583\pi\)
\(80\) 18.6393 46.3535i 0.232991 0.579419i
\(81\) −32.0794 + 74.3768i −0.396042 + 0.918232i
\(82\) −4.26656 + 8.03220i −0.0520312 + 0.0979537i
\(83\) −32.5283 89.3708i −0.391907 1.07676i −0.966130 0.258057i \(-0.916918\pi\)
0.574222 0.818700i \(1.69470\pi\)
\(84\) −55.5071 + 5.55448i −0.660799 + 0.0661247i
\(85\) −49.5379 + 41.5672i −0.582799 + 0.489026i
\(86\) −7.95507 + 24.5175i −0.0925008 + 0.285088i
\(87\) −18.6388 2.72998i −0.214239 0.0313791i
\(88\) −11.5425 + 17.1582i −0.131165 + 0.194979i
\(89\) 59.4029 102.889i 0.667449 1.15605i −0.311167 0.950355i \(-0.600720\pi\)
0.978615 0.205700i \(-0.0659470\pi\)
\(90\) −32.5254 45.8387i −0.361394 0.509319i
\(91\) 71.7269 41.4116i 0.788208 0.455072i
\(92\) −37.1918 83.3493i −0.404258 0.905971i
\(93\) 21.1191 + 102.275i 0.227087 + 1.09973i
\(94\) −2.87287 3.18801i −0.0305625 0.0339150i
\(95\) −30.2259 + 83.0451i −0.318168 + 0.874159i
\(96\) −89.1438 + 35.6283i −0.928582 + 0.371128i
\(97\) 11.2136 63.5953i 0.115604 0.655622i −0.870846 0.491556i \(-0.836428\pi\)
0.986449 0.164065i \(-0.0524608\pi\)
\(98\) 54.7452 1.93431i 0.558624 0.0197379i
\(99\) 9.21491 + 21.3614i 0.0930799 + 0.215771i
\(100\) −60.8468 + 4.30518i −0.608468 + 0.0430518i
\(101\) 96.7701 + 81.1997i 0.958120 + 0.803958i 0.980646 0.195788i \(-0.0627266\pi\)
−0.0225265 + 0.999746i \(0.507171\pi\)
\(102\) 123.506 + 13.6552i 1.21084 + 0.133874i
\(103\) −154.727 + 27.2826i −1.50221 + 0.264879i −0.863412 0.504499i \(-0.831677\pi\)
−0.638794 + 0.769378i \(0.720566\pi\)
\(104\) 98.8840 102.651i 0.950807 0.987027i
\(105\) −22.8616 37.0635i −0.217730 0.352986i
\(106\) −8.83784 + 63.0730i −0.0833759 + 0.595028i
\(107\) 135.536i 1.26670i −0.773867 0.633348i \(-0.781680\pi\)
0.773867 0.633348i \(-0.218320\pi\)
\(108\) −20.5168 + 106.033i −0.189970 + 0.981790i
\(109\) −19.3978 −0.177962 −0.0889809 0.996033i \(-0.528361\pi\)
−0.0889809 + 0.996033i \(0.528361\pi\)
\(110\) −15.9868 2.24008i −0.145335 0.0203644i
\(111\) 4.01045 + 137.781i 0.0361302 + 1.24127i
\(112\) −70.7007 + 23.1009i −0.631257 + 0.206258i
\(113\) −15.9448 90.4277i −0.141105 0.800245i −0.970413 0.241453i \(-0.922376\pi\)
0.829308 0.558792i \(-0.188735\pi\)
\(114\) 155.502 68.2312i 1.36406 0.598519i
\(115\) 45.7980 54.5800i 0.398244 0.474609i
\(116\) −25.0542 + 1.77270i −0.215984 + 0.0152819i
\(117\) −36.9820 156.025i −0.316085 1.33355i
\(118\) −7.99367 226.238i −0.0677430 1.91727i
\(119\) 94.8107 + 16.7177i 0.796729 + 0.140485i
\(120\) −55.4622 50.3994i −0.462185 0.419995i
\(121\) −107.424 39.0991i −0.887802 0.323133i
\(122\) 122.812 110.672i 1.00665 0.907145i
\(123\) 9.06963 + 10.1912i 0.0737368 + 0.0828556i
\(124\) 56.7400 + 127.158i 0.457581 + 1.02547i
\(125\) −62.8407 108.843i −0.502726 0.870747i
\(126\) −21.1515 + 80.9590i −0.167869 + 0.642532i
\(127\) 184.813 + 106.702i 1.45522 + 0.840170i 0.998770 0.0495799i \(-0.0157883\pi\)
0.456448 + 0.889750i \(0.349122\pi\)
\(128\) −105.910 + 71.8823i −0.827422 + 0.561580i
\(129\) 30.3287 + 23.9803i 0.235106 + 0.185894i
\(130\) 105.834 + 34.3392i 0.814105 + 0.264148i
\(131\) 1.67775 + 1.99947i 0.0128073 + 0.0152631i 0.772410 0.635124i \(-0.219051\pi\)
−0.759603 + 0.650387i \(0.774607\pi\)
\(132\) 18.1072 + 25.1854i 0.137175 + 0.190798i
\(133\) 123.634 44.9989i 0.929576 0.338338i
\(134\) −56.0692 29.7829i −0.418427 0.222260i
\(135\) −81.4352 + 21.8232i −0.603224 + 0.161653i
\(136\) 164.749 17.5216i 1.21139 0.128835i
\(137\) 179.564 65.3560i 1.31069 0.477051i 0.410225 0.911985i \(-0.365450\pi\)
0.900463 + 0.434933i \(0.143228\pi\)
\(138\) −136.622 + 8.81304i −0.990015 + 0.0638626i
\(139\) 53.4641 + 63.7160i 0.384634 + 0.458389i 0.923271 0.384149i \(-0.125505\pi\)
−0.538637 + 0.842538i \(0.681061\pi\)
\(140\) −40.3683 41.7337i −0.288345 0.298098i
\(141\) −5.98239 + 2.37672i −0.0424283 + 0.0168562i
\(142\) 0.0562031 + 0.138943i 0.000395797 + 0.000978470i
\(143\) −39.8838 23.0269i −0.278908 0.161028i
\(144\) 3.59082 + 143.955i 0.0249363 + 0.999689i
\(145\) −9.80354 16.9802i −0.0676106 0.117105i
\(146\) 189.540 + 147.960i 1.29822 + 1.01342i
\(147\) 25.8450 77.9986i 0.175817 0.530603i
\(148\) 44.6088 + 178.290i 0.301411 + 1.20467i
\(149\) −50.4885 18.3763i −0.338849 0.123331i 0.166991 0.985958i \(-0.446595\pi\)
−0.505840 + 0.862628i \(0.668817\pi\)
\(150\) −25.6946 + 87.8165i −0.171297 + 0.585444i
\(151\) −49.1219 8.66152i −0.325311 0.0573610i 0.00860797 0.999963i \(-0.497260\pi\)
−0.333919 + 0.942602i \(0.608371\pi\)
\(152\) 183.011 133.311i 1.20402 0.877046i
\(153\) 83.6473 166.564i 0.546714 1.08865i
\(154\) 12.7439 + 20.3758i 0.0827525 + 0.132310i
\(155\) −69.8698 + 83.2676i −0.450773 + 0.537210i
\(156\) −92.7637 192.624i −0.594639 1.23477i
\(157\) −31.3995 178.075i −0.199997 1.13424i −0.905121 0.425154i \(-0.860220\pi\)
0.705124 0.709084i \(-0.250891\pi\)
\(158\) −0.673790 + 0.143508i −0.00426449 + 0.000908281i
\(159\) 84.0894 + 45.3395i 0.528864 + 0.285154i
\(160\) −86.6371 49.7824i −0.541482 0.311140i
\(161\) −106.072 −0.658834
\(162\) 138.411 + 84.1799i 0.854392 + 0.519629i
\(163\) 8.91711i 0.0547062i 0.999626 + 0.0273531i \(0.00870785\pi\)
−0.999626 + 0.0273531i \(0.991292\pi\)
\(164\) 14.7249 + 10.6797i 0.0897859 + 0.0651204i
\(165\) −11.4920 + 21.3137i −0.0696483 + 0.129174i
\(166\) −186.040 + 39.6241i −1.12072 + 0.238699i
\(167\) −285.053 + 50.2625i −1.70690 + 0.300973i −0.940097 0.340908i \(-0.889266\pi\)
−0.766805 + 0.641880i \(0.778155\pi\)
\(168\) −4.40344 + 111.482i −0.0262109 + 0.663581i
\(169\) 113.701 + 95.4061i 0.672784 + 0.564533i
\(170\) 68.5819 + 109.653i 0.403423 + 0.645020i
\(171\) −14.8159 254.288i −0.0866425 1.48707i
\(172\) 46.3529 + 22.5606i 0.269494 + 0.131166i
\(173\) −55.6641 + 315.687i −0.321758 + 1.82478i 0.209783 + 0.977748i \(0.432724\pi\)
−0.531541 + 0.847032i \(0.678387\pi\)
\(174\) −10.5800 + 36.1592i −0.0608044 + 0.207812i
\(175\) −24.2463 + 66.6160i −0.138550 + 0.380663i
\(176\) 30.7809 + 27.6236i 0.174892 + 0.156952i
\(177\) −322.334 106.806i −1.82109 0.603424i
\(178\) −187.301 146.211i −1.05225 0.821412i
\(179\) −162.728 + 93.9512i −0.909096 + 0.524867i −0.880140 0.474714i \(-0.842552\pi\)
−0.0289558 + 0.999581i \(0.509218\pi\)
\(180\) −99.8172 + 51.6999i −0.554540 + 0.287222i
\(181\) −87.5994 + 151.727i −0.483975 + 0.838269i −0.999831 0.0184065i \(-0.994141\pi\)
0.515856 + 0.856675i \(0.327474\pi\)
\(182\) −62.1154 153.559i −0.341294 0.843731i
\(183\) −91.5585 230.460i −0.500320 1.25934i
\(184\) −175.408 + 50.5319i −0.953303 + 0.274630i
\(185\) −109.905 + 92.2208i −0.594078 + 0.498491i
\(186\) 208.431 13.4452i 1.12060 0.0722862i
\(187\) −18.3093 50.3044i −0.0979108 0.269008i
\(188\) −7.11164 + 4.80539i −0.0378279 + 0.0255606i
\(189\) 102.818 + 71.9891i 0.544010 + 0.380895i
\(190\) 156.095 + 82.9146i 0.821551 + 0.436393i
\(191\) −27.9840 76.8854i −0.146513 0.402541i 0.844628 0.535353i \(-0.179822\pi\)
−0.991141 + 0.132812i \(0.957599\pi\)
\(192\) 45.8271 + 186.451i 0.238683 + 0.971098i
\(193\) 235.485 197.596i 1.22013 1.02381i 0.221313 0.975203i \(-0.428966\pi\)
0.998818 0.0486086i \(-0.0154787\pi\)
\(194\) −122.848 39.8598i −0.633237 0.205463i
\(195\) 103.515 130.918i 0.530844 0.671376i
\(196\) 11.3623 108.968i 0.0579707 0.555959i
\(197\) 7.31189 12.6646i 0.0371162 0.0642871i −0.846871 0.531799i \(-0.821516\pi\)
0.883987 + 0.467512i \(0.154850\pi\)
\(198\) 44.8668 12.3231i 0.226600 0.0622378i
\(199\) −9.61962 + 5.55389i −0.0483398 + 0.0279090i −0.523975 0.851734i \(-0.675552\pi\)
0.475635 + 0.879643i \(0.342218\pi\)
\(200\) −8.35979 + 121.711i −0.0417989 + 0.608555i
\(201\) −71.1405 + 63.3109i −0.353933 + 0.314980i
\(202\) 187.685 169.132i 0.929134 0.837289i
\(203\) −9.98360 + 27.4297i −0.0491803 + 0.135122i
\(204\) 61.3228 240.833i 0.300602 1.18055i
\(205\) −2.46577 + 13.9841i −0.0120282 + 0.0682151i
\(206\) 11.0957 + 314.032i 0.0538627 + 1.52443i
\(207\) −58.8936 + 196.733i −0.284510 + 0.950401i
\(208\) −175.872 224.343i −0.845539 1.07857i
\(209\) −56.0427 47.0254i −0.268147 0.225002i
\(210\) −79.7547 + 34.9947i −0.379784 + 0.166641i
\(211\) −227.524 + 40.1186i −1.07831 + 0.190135i −0.684468 0.729042i \(-0.739966\pi\)
−0.393843 + 0.919178i \(0.628855\pi\)
\(212\) 122.473 + 35.0094i 0.577702 + 0.165138i
\(213\) 0.224724 0.00654113i 0.00105504 3.07095e-5i
\(214\) −268.450 37.6155i −1.25444 0.175773i
\(215\) 40.2430i 0.187177i
\(216\) 204.321 + 70.0640i 0.945930 + 0.324371i
\(217\) 161.825 0.745735
\(218\) −5.38349 + 38.4203i −0.0246949 + 0.176240i
\(219\) 306.978 189.351i 1.40173 0.864618i
\(220\) −8.87365 + 31.0426i −0.0403348 + 0.141103i
\(221\) 64.0717 + 363.369i 0.289917 + 1.64420i
\(222\) 274.010 + 30.2953i 1.23428 + 0.136465i
\(223\) −15.4066 + 18.3609i −0.0690879 + 0.0823358i −0.799481 0.600691i \(-0.794892\pi\)
0.730393 + 0.683027i \(0.239337\pi\)
\(224\) 26.1332 + 146.445i 0.116666 + 0.653771i
\(225\) 110.091 + 81.9563i 0.489294 + 0.364250i
\(226\) −183.531 + 6.48470i −0.812083 + 0.0286934i
\(227\) 288.723 + 50.9096i 1.27191 + 0.224271i 0.768540 0.639802i \(-0.220984\pi\)
0.503366 + 0.864073i \(0.332095\pi\)
\(228\) −91.9854 326.932i −0.403445 1.43391i
\(229\) −235.290 85.6387i −1.02747 0.373968i −0.227352 0.973813i \(-0.573007\pi\)
−0.800117 + 0.599844i \(0.795229\pi\)
\(230\) −95.3935 105.858i −0.414754 0.460250i
\(231\) 35.3045 7.29017i 0.152833 0.0315592i
\(232\) −3.44221 + 50.1156i −0.0148371 + 0.216015i
\(233\) 44.3299 + 76.7816i 0.190257 + 0.329535i 0.945335 0.326100i \(-0.105735\pi\)
−0.755078 + 0.655635i \(0.772401\pi\)
\(234\) −319.295 + 29.9467i −1.36451 + 0.127977i
\(235\) −5.80251 3.35008i −0.0246915 0.0142557i
\(236\) −450.316 46.9552i −1.90812 0.198963i
\(237\) −0.149755 + 1.02245i −0.000631879 + 0.00431412i
\(238\) 59.4248 183.147i 0.249684 0.769526i
\(239\) 193.538 + 230.649i 0.809781 + 0.965059i 0.999860 0.0167096i \(-0.00531909\pi\)
−0.190080 + 0.981769i \(0.560875\pi\)
\(240\) −115.216 + 95.8638i −0.480067 + 0.399432i
\(241\) 293.914 106.976i 1.21956 0.443883i 0.349549 0.936918i \(-0.386335\pi\)
0.870009 + 0.493035i \(0.164113\pi\)
\(242\) −107.255 + 201.918i −0.443203 + 0.834373i
\(243\) 190.605 150.727i 0.784384 0.620276i
\(244\) −185.118 273.962i −0.758680 1.12279i
\(245\) 80.3676 29.2514i 0.328031 0.119393i
\(246\) 22.7024 15.1354i 0.0922861 0.0615259i
\(247\) 324.122 + 386.273i 1.31223 + 1.56386i
\(248\) 267.603 77.0918i 1.07904 0.310854i
\(249\) −41.3489 + 282.307i −0.166060 + 1.13376i
\(250\) −233.021 + 94.2582i −0.932084 + 0.377033i
\(251\) −179.464 103.614i −0.714997 0.412804i 0.0979113 0.995195i \(-0.468784\pi\)
−0.812909 + 0.582391i \(0.802117\pi\)
\(252\) 154.481 + 64.3623i 0.613021 + 0.255406i
\(253\) 29.4908 + 51.0796i 0.116564 + 0.201895i
\(254\) 262.630 336.436i 1.03398 1.32455i
\(255\) 189.993 39.2324i 0.745071 0.153853i
\(256\) 112.980 + 229.720i 0.441330 + 0.897345i
\(257\) −348.175 126.725i −1.35477 0.493095i −0.440335 0.897834i \(-0.645140\pi\)
−0.914432 + 0.404739i \(0.867363\pi\)
\(258\) 55.9137 53.4153i 0.216720 0.207036i
\(259\) 210.347 + 37.0898i 0.812149 + 0.143204i
\(260\) 97.3861 200.089i 0.374562 0.769574i
\(261\) 45.3310 + 33.7462i 0.173682 + 0.129296i
\(262\) 4.42587 2.76813i 0.0168926 0.0105654i
\(263\) −118.833 + 141.619i −0.451836 + 0.538477i −0.943089 0.332540i \(-0.892094\pi\)
0.491253 + 0.871017i \(0.336539\pi\)
\(264\) 54.9087 28.8742i 0.207988 0.109372i
\(265\) 17.2669 + 97.9253i 0.0651580 + 0.369530i
\(266\) −54.8151 257.363i −0.206072 0.967532i
\(267\) −303.351 + 187.114i −1.13615 + 0.700802i
\(268\) −74.5504 + 102.788i −0.278173 + 0.383536i
\(269\) 496.062 1.84410 0.922049 0.387074i \(-0.126514\pi\)
0.922049 + 0.387074i \(0.126514\pi\)
\(270\) 20.6234 + 167.351i 0.0763828 + 0.619820i
\(271\) 316.792i 1.16897i 0.811403 + 0.584487i \(0.198704\pi\)
−0.811403 + 0.584487i \(0.801296\pi\)
\(272\) 11.0187 331.173i 0.0405099 1.21755i
\(273\) −248.364 + 7.22922i −0.909759 + 0.0264807i
\(274\) −79.6129 373.792i −0.290558 1.36420i
\(275\) 38.8203 6.84507i 0.141165 0.0248912i
\(276\) −20.4612 + 273.046i −0.0741349 + 0.989299i
\(277\) −228.590 191.810i −0.825235 0.692455i 0.128957 0.991650i \(-0.458837\pi\)
−0.954192 + 0.299196i \(0.903282\pi\)
\(278\) 141.037 88.2105i 0.507328 0.317304i
\(279\) 89.8484 300.137i 0.322037 1.07576i
\(280\) −93.8634 + 68.3731i −0.335226 + 0.244190i
\(281\) 28.7377 162.980i 0.102270 0.579999i −0.890006 0.455948i \(-0.849300\pi\)
0.992276 0.124051i \(-0.0395887\pi\)
\(282\) 3.04716 + 12.5086i 0.0108055 + 0.0443569i
\(283\) 128.140 352.062i 0.452792 1.24404i −0.477959 0.878382i \(-0.658623\pi\)
0.930751 0.365654i \(-0.119155\pi\)
\(284\) 0.290795 0.0727578i 0.00102393 0.000256190i
\(285\) 198.053 176.256i 0.694921 0.618440i
\(286\) −56.6773 + 72.6053i −0.198172 + 0.253865i
\(287\) 18.3078 10.5700i 0.0637902 0.0368293i
\(288\) 286.122 + 32.8398i 0.993478 + 0.114027i
\(289\) −69.9473 + 121.152i −0.242032 + 0.419212i
\(290\) −36.3527 + 14.7049i −0.125354 + 0.0507064i
\(291\) −120.156 + 151.965i −0.412908 + 0.522218i
\(292\) 345.660 334.350i 1.18377 1.14503i
\(293\) −275.790 + 231.416i −0.941264 + 0.789815i −0.977805 0.209518i \(-0.932811\pi\)
0.0365406 + 0.999332i \(0.488366\pi\)
\(294\) −147.315 72.8370i −0.501072 0.247745i
\(295\) −120.883 332.124i −0.409773 1.12584i
\(296\) 365.511 38.8734i 1.23484 0.131329i
\(297\) 6.08067 69.5272i 0.0204736 0.234098i
\(298\) −50.4092 + 94.9001i −0.169158 + 0.318457i
\(299\) −139.041 382.013i −0.465021 1.27763i
\(300\) 166.803 + 75.2638i 0.556009 + 0.250879i
\(301\) 45.8952 38.5106i 0.152476 0.127942i
\(302\) −30.7883 + 94.8895i −0.101948 + 0.314204i
\(303\) −139.923 352.196i −0.461792 1.16236i
\(304\) −213.251 399.479i −0.701485 1.31407i
\(305\) 129.055 223.530i 0.423132 0.732886i
\(306\) −306.690 211.903i −1.00226 0.692493i
\(307\) −25.9467 + 14.9803i −0.0845168 + 0.0487958i −0.541663 0.840596i \(-0.682205\pi\)
0.457146 + 0.889392i \(0.348872\pi\)
\(308\) 43.8942 19.5863i 0.142514 0.0635918i
\(309\) 447.420 + 148.254i 1.44796 + 0.479785i
\(310\) 145.533 + 161.497i 0.469461 + 0.520958i
\(311\) 90.6051 248.936i 0.291335 0.800436i −0.704537 0.709667i \(-0.748845\pi\)
0.995872 0.0907688i \(-0.0289324\pi\)
\(312\) −407.266 + 130.273i −1.30534 + 0.417543i
\(313\) −24.1122 + 136.747i −0.0770356 + 0.436891i 0.921757 + 0.387768i \(0.126754\pi\)
−0.998793 + 0.0491230i \(0.984357\pi\)
\(314\) −361.419 + 12.7700i −1.15102 + 0.0406689i
\(315\) 7.59882 + 130.420i 0.0241233 + 0.414033i
\(316\) 0.0972428 + 1.37437i 0.000307730 + 0.00434927i
\(317\) −149.944 125.818i −0.473009 0.396902i 0.374882 0.927073i \(-0.377683\pi\)
−0.847891 + 0.530171i \(0.822128\pi\)
\(318\) 113.139 153.969i 0.355783 0.484178i
\(319\) 15.9846 2.81852i 0.0501084 0.00883547i
\(320\) −122.646 + 157.782i −0.383269 + 0.493068i
\(321\) −192.973 + 357.900i −0.601163 + 1.11495i
\(322\) −29.4383 + 210.092i −0.0914233 + 0.652460i
\(323\) 586.132i 1.81465i
\(324\) 205.144 250.782i 0.633162 0.774019i
\(325\) −271.696 −0.835987
\(326\) 17.6617 + 2.47477i 0.0541769 + 0.00759132i
\(327\) 51.2223 + 27.6181i 0.156643 + 0.0844591i
\(328\) 25.2394 26.2009i 0.0769495 0.0798808i
\(329\) 1.73212 + 9.82334i 0.00526480 + 0.0298582i
\(330\) 39.0257 + 28.6768i 0.118260 + 0.0868994i
\(331\) −7.54276 + 8.98911i −0.0227878 + 0.0271574i −0.777318 0.629108i \(-0.783420\pi\)
0.754530 + 0.656265i \(0.227865\pi\)
\(332\) 26.8497 + 379.477i 0.0808726 + 1.14300i
\(333\) 185.580 369.538i 0.557296 1.10972i
\(334\) 20.4416 + 578.539i 0.0612023 + 1.73215i
\(335\) −97.6167 17.2125i −0.291393 0.0513804i
\(336\) 219.584 + 39.6612i 0.653524 + 0.118039i
\(337\) 86.0445 + 31.3176i 0.255325 + 0.0929307i 0.466512 0.884515i \(-0.345511\pi\)
−0.211187 + 0.977446i \(0.567733\pi\)
\(338\) 220.522 198.723i 0.652430 0.587938i
\(339\) −86.6443 + 261.487i −0.255588 + 0.771348i
\(340\) 236.219 105.405i 0.694761 0.310013i
\(341\) −44.9913 77.9273i −0.131939 0.228526i
\(342\) −507.768 41.2277i −1.48470 0.120549i
\(343\) −307.536 177.556i −0.896606 0.517656i
\(344\) 57.5490 85.5477i 0.167294 0.248685i
\(345\) −198.645 + 78.9189i −0.575782 + 0.228750i
\(346\) 609.817 + 197.864i 1.76248 + 0.571861i
\(347\) −230.389 274.567i −0.663944 0.791258i 0.324002 0.946056i \(-0.394972\pi\)
−0.987946 + 0.154798i \(0.950527\pi\)
\(348\) 68.6825 + 30.9905i 0.197363 + 0.0890531i
\(349\) −424.517 + 154.511i −1.21638 + 0.442726i −0.868913 0.494966i \(-0.835181\pi\)
−0.347468 + 0.937692i \(0.612958\pi\)
\(350\) 125.214 + 66.5113i 0.357754 + 0.190032i
\(351\) −124.489 + 464.657i −0.354669 + 1.32381i
\(352\) 63.2554 53.2999i 0.179703 0.151420i
\(353\) 174.348 63.4575i 0.493903 0.179766i −0.0830465 0.996546i \(-0.526465\pi\)
0.576950 + 0.816780i \(0.304243\pi\)
\(354\) −301.003 + 608.789i −0.850291 + 1.71974i
\(355\) 0.150414 + 0.179256i 0.000423701 + 0.000504948i
\(356\) −341.575 + 330.399i −0.959481 + 0.928088i
\(357\) −226.557 179.134i −0.634613 0.501776i
\(358\) 140.922 + 348.382i 0.393638 + 0.973134i
\(359\) 19.1474 + 11.0548i 0.0533354 + 0.0307932i 0.526431 0.850218i \(-0.323530\pi\)
−0.473095 + 0.881011i \(0.656863\pi\)
\(360\) 74.6971 + 212.051i 0.207492 + 0.589031i
\(361\) 220.007 + 381.063i 0.609437 + 1.05558i
\(362\) 276.206 + 215.613i 0.763000 + 0.595615i
\(363\) 227.998 + 256.193i 0.628092 + 0.705767i
\(364\) −321.386 + 80.4116i −0.882927 + 0.220911i
\(365\) 352.772 + 128.399i 0.966499 + 0.351777i
\(366\) −481.870 + 117.386i −1.31659 + 0.320726i
\(367\) −64.1920 11.3188i −0.174910 0.0308414i 0.0855071 0.996338i \(-0.472749\pi\)
−0.260417 + 0.965496i \(0.583860\pi\)
\(368\) 51.4051 + 361.446i 0.139688 + 0.982189i
\(369\) −9.43940 39.8243i −0.0255810 0.107925i
\(370\) 152.155 + 243.277i 0.411231 + 0.657504i
\(371\) 95.1554 113.402i 0.256484 0.305665i
\(372\) 31.2158 416.561i 0.0839134 1.11979i
\(373\) −13.9077 78.8746i −0.0372861 0.211460i 0.960473 0.278375i \(-0.0897956\pi\)
−0.997759 + 0.0669145i \(0.978685\pi\)
\(374\) −104.717 + 22.3033i −0.279992 + 0.0596346i
\(375\) 10.9701 + 376.885i 0.0292536 + 1.00503i
\(376\) 7.54410 + 15.4193i 0.0200641 + 0.0410088i
\(377\) −111.873 −0.296746
\(378\) 171.120 183.667i 0.452699 0.485892i
\(379\) 108.170i 0.285410i −0.989765 0.142705i \(-0.954420\pi\)
0.989765 0.142705i \(-0.0455799\pi\)
\(380\) 207.546 286.158i 0.546173 0.753047i
\(381\) −336.101 544.890i −0.882154 1.43016i
\(382\) −160.050 + 34.0885i −0.418978 + 0.0892369i
\(383\) 314.011 55.3687i 0.819873 0.144566i 0.252048 0.967715i \(-0.418896\pi\)
0.567825 + 0.823149i \(0.307785\pi\)
\(384\) 382.012 39.0217i 0.994823 0.101619i
\(385\) 28.7434 + 24.1186i 0.0746582 + 0.0626457i
\(386\) −326.013 521.253i −0.844595 1.35040i
\(387\) −45.9440 106.504i −0.118718 0.275204i
\(388\) −113.042 + 232.257i −0.291346 + 0.598599i
\(389\) 22.7566 129.059i 0.0585003 0.331772i −0.941486 0.337053i \(-0.890570\pi\)
0.999986 + 0.00528095i \(0.00168099\pi\)
\(390\) −230.575 241.360i −0.591218 0.618872i
\(391\) 161.621 444.050i 0.413353 1.13568i
\(392\) −212.674 52.7466i −0.542536 0.134558i
\(393\) −1.58351 7.66856i −0.00402930 0.0195129i
\(394\) −23.0548 17.9971i −0.0585147 0.0456779i
\(395\) −0.931466 + 0.537782i −0.00235814 + 0.00136147i
\(396\) −11.9558 92.2855i −0.0301915 0.233044i
\(397\) 179.796 311.416i 0.452887 0.784423i −0.545677 0.837996i \(-0.683727\pi\)
0.998564 + 0.0535725i \(0.0170608\pi\)
\(398\) 8.33058 + 20.5945i 0.0209311 + 0.0517449i
\(399\) −390.537 57.2012i −0.978791 0.143361i
\(400\) 238.747 + 50.3364i 0.596868 + 0.125841i
\(401\) 259.700 217.914i 0.647631 0.543427i −0.258720 0.965952i \(-0.583301\pi\)
0.906351 + 0.422525i \(0.138856\pi\)
\(402\) 105.653 + 158.475i 0.262819 + 0.394217i
\(403\) 212.122 + 582.801i 0.526358 + 1.44616i
\(404\) −282.904 418.678i −0.700257 1.03633i
\(405\) 246.111 + 58.3186i 0.607681 + 0.143996i
\(406\) 51.5579 + 27.3866i 0.126990 + 0.0674547i
\(407\) −40.6210 111.605i −0.0998058 0.274214i
\(408\) −459.986 188.297i −1.12742 0.461513i
\(409\) 283.138 237.581i 0.692270 0.580883i −0.227293 0.973826i \(-0.572988\pi\)
0.919563 + 0.392943i \(0.128543\pi\)
\(410\) 27.0133 + 8.76485i 0.0658861 + 0.0213777i
\(411\) −567.213 83.0784i −1.38008 0.202137i
\(412\) 625.068 + 65.1768i 1.51715 + 0.158196i
\(413\) −263.091 + 455.687i −0.637025 + 1.10336i
\(414\) 373.315 + 171.247i 0.901726 + 0.413640i
\(415\) −257.187 + 148.487i −0.619727 + 0.357800i
\(416\) −493.156 + 286.079i −1.18547 + 0.687690i
\(417\) −50.4611 244.370i −0.121010 0.586020i
\(418\) −108.694 + 97.9500i −0.260035 + 0.234330i
\(419\) 21.0810 57.9195i 0.0503125 0.138233i −0.911991 0.410210i \(-0.865455\pi\)
0.962304 + 0.271977i \(0.0876776\pi\)
\(420\) 47.1778 + 167.678i 0.112328 + 0.399234i
\(421\) −4.86271 + 27.5778i −0.0115504 + 0.0655055i −0.990038 0.140799i \(-0.955033\pi\)
0.978488 + 0.206305i \(0.0661439\pi\)
\(422\) 16.3161 + 461.779i 0.0386637 + 1.09426i
\(423\) 19.1811 + 2.24155i 0.0453454 + 0.00529917i
\(424\) 103.331 232.860i 0.243706 0.549197i
\(425\) −241.931 203.004i −0.569249 0.477657i
\(426\) 0.0494122 0.446916i 0.000115991 0.00104910i
\(427\) −378.425 + 66.7265i −0.886240 + 0.156268i
\(428\) −149.006 + 521.267i −0.348146 + 1.21791i
\(429\) 72.5328 + 117.591i 0.169074 + 0.274105i
\(430\) 79.7074 + 11.1687i 0.185366 + 0.0259737i
\(431\) 405.263i 0.940286i −0.882590 0.470143i \(-0.844202\pi\)
0.882590 0.470143i \(-0.155798\pi\)
\(432\) 195.478 385.243i 0.452495 0.891767i
\(433\) 208.330 0.481131 0.240565 0.970633i \(-0.422667\pi\)
0.240565 + 0.970633i \(0.422667\pi\)
\(434\) 44.9113 320.518i 0.103482 0.738520i
\(435\) 1.71141 + 58.7964i 0.00393427 + 0.135164i
\(436\) 74.6032 + 21.3256i 0.171108 + 0.0489120i
\(437\) −112.140 635.979i −0.256614 1.45533i
\(438\) −289.843 660.568i −0.661742 1.50815i
\(439\) 272.688 324.977i 0.621157 0.740266i −0.360112 0.932909i \(-0.617262\pi\)
0.981269 + 0.192643i \(0.0617060\pi\)
\(440\) 59.0218 + 26.1909i 0.134140 + 0.0595247i
\(441\) −179.299 + 169.167i −0.406574 + 0.383599i
\(442\) 737.488 26.0577i 1.66853 0.0589541i
\(443\) 613.592 + 108.193i 1.38508 + 0.244228i 0.816000 0.578052i \(-0.196187\pi\)
0.569084 + 0.822280i \(0.307298\pi\)
\(444\) 136.050 534.310i 0.306420 1.20340i
\(445\) −348.604 126.881i −0.783379 0.285127i
\(446\) 32.0907 + 35.6108i 0.0719522 + 0.0798449i
\(447\) 107.157 + 120.409i 0.239725 + 0.269371i
\(448\) 297.308 11.1178i 0.663635 0.0248164i
\(449\) −14.5045 25.1226i −0.0323041 0.0559523i 0.849421 0.527715i \(-0.176951\pi\)
−0.881725 + 0.471763i \(0.843618\pi\)
\(450\) 192.880 195.307i 0.428623 0.434015i
\(451\) −10.1801 5.87747i −0.0225722 0.0130321i
\(452\) −38.0915 + 365.310i −0.0842732 + 0.808208i
\(453\) 117.380 + 92.8103i 0.259117 + 0.204879i
\(454\) 180.963 557.730i 0.398598 1.22848i
\(455\) −166.237 198.113i −0.365356 0.435414i
\(456\) −673.067 + 91.4573i −1.47602 + 0.200564i
\(457\) −396.716 + 144.393i −0.868088 + 0.315958i −0.737393 0.675464i \(-0.763943\pi\)
−0.130695 + 0.991423i \(0.541721\pi\)
\(458\) −234.921 + 442.261i −0.512927 + 0.965635i
\(459\) −458.030 + 320.737i −0.997887 + 0.698774i
\(460\) −236.141 + 159.563i −0.513351 + 0.346875i
\(461\) 26.9765 9.81863i 0.0585173 0.0212985i −0.312596 0.949886i \(-0.601198\pi\)
0.371113 + 0.928588i \(0.378976\pi\)
\(462\) −4.64121 71.9491i −0.0100459 0.155734i
\(463\) 253.832 + 302.505i 0.548233 + 0.653359i 0.967012 0.254729i \(-0.0819863\pi\)
−0.418779 + 0.908088i \(0.637542\pi\)
\(464\) 98.3061 + 20.7264i 0.211867 + 0.0446690i
\(465\) 303.054 120.399i 0.651728 0.258923i
\(466\) 164.380 66.4927i 0.352748 0.142688i
\(467\) 264.780 + 152.871i 0.566982 + 0.327347i 0.755943 0.654638i \(-0.227179\pi\)
−0.188961 + 0.981985i \(0.560512\pi\)
\(468\) −29.3001 + 640.722i −0.0626070 + 1.36906i
\(469\) 73.7845 + 127.798i 0.157323 + 0.272491i
\(470\) −8.24571 + 10.5630i −0.0175441 + 0.0224745i
\(471\) −170.625 + 514.935i −0.362261 + 1.09328i
\(472\) −217.978 + 878.887i −0.461819 + 1.86205i
\(473\) −31.3050 11.3941i −0.0661839 0.0240890i
\(474\) 1.98355 + 0.580373i 0.00418469 + 0.00122442i
\(475\) −425.044 74.9467i −0.894829 0.157782i
\(476\) −346.258 168.529i −0.727434 0.354052i
\(477\) −157.495 239.448i −0.330178 0.501988i
\(478\) 510.548 319.318i 1.06809 0.668030i
\(479\) 58.4435 69.6502i 0.122011 0.145408i −0.701581 0.712590i \(-0.747522\pi\)
0.823592 + 0.567182i \(0.191967\pi\)
\(480\) 157.897 + 254.808i 0.328951 + 0.530850i
\(481\) 142.149 + 806.168i 0.295529 + 1.67603i
\(482\) −130.312 611.829i −0.270356 1.26936i
\(483\) 280.096 + 151.023i 0.579910 + 0.312677i
\(484\) 370.163 + 268.474i 0.764799 + 0.554697i
\(485\) −201.642 −0.415758
\(486\) −245.639 419.354i −0.505430 0.862868i
\(487\) 696.162i 1.42949i −0.699385 0.714745i \(-0.746543\pi\)
0.699385 0.714745i \(-0.253457\pi\)
\(488\) −593.999 + 290.621i −1.21721 + 0.595536i
\(489\) 12.6959 23.5467i 0.0259631 0.0481527i
\(490\) −35.6324 167.298i −0.0727191 0.341425i
\(491\) 120.362 21.2231i 0.245137 0.0432243i −0.0497294 0.998763i \(-0.515836\pi\)
0.294867 + 0.955538i \(0.404725\pi\)
\(492\) −23.6773 49.1660i −0.0481246 0.0999310i
\(493\) −99.6171 83.5887i −0.202063 0.169551i
\(494\) 855.026 534.769i 1.73082 1.08253i
\(495\) 60.6918 39.9194i 0.122610 0.0806453i
\(496\) −78.4239 551.423i −0.158113 1.11174i
\(497\) 0.0604942 0.343079i 0.000121719 0.000690301i
\(498\) 547.676 + 160.247i 1.09975 + 0.321781i
\(499\) 84.7569 232.868i 0.169853 0.466669i −0.825335 0.564643i \(-0.809014\pi\)
0.995189 + 0.0979740i \(0.0312362\pi\)
\(500\) 122.022 + 487.692i 0.244044 + 0.975385i
\(501\) 824.278 + 273.126i 1.64526 + 0.545162i
\(502\) −255.030 + 326.700i −0.508027 + 0.650797i
\(503\) 672.109 388.042i 1.33620 0.771456i 0.349958 0.936765i \(-0.386196\pi\)
0.986242 + 0.165310i \(0.0528624\pi\)
\(504\) 170.352 288.111i 0.338001 0.571649i
\(505\) 197.227 341.606i 0.390548 0.676448i
\(506\) 109.355 44.2348i 0.216117 0.0874206i
\(507\) −164.403 413.815i −0.324266 0.816203i
\(508\) −593.475 613.549i −1.16826 1.20777i
\(509\) 146.977 123.328i 0.288756 0.242295i −0.486890 0.873463i \(-0.661869\pi\)
0.775646 + 0.631168i \(0.217424\pi\)
\(510\) −24.9769 387.198i −0.0489743 0.759212i
\(511\) −191.154 525.190i −0.374078 1.02777i
\(512\) 486.351 160.020i 0.949905 0.312540i
\(513\) −322.926 + 692.573i −0.629485 + 1.35004i
\(514\) −347.628 + 654.443i −0.676319 + 1.27324i
\(515\) 167.794 + 461.009i 0.325813 + 0.895163i
\(516\) −90.2792 125.570i −0.174960 0.243353i
\(517\) 4.24890 3.56525i 0.00821837 0.00689603i
\(518\) 131.840 406.330i 0.254516 0.784420i
\(519\) 596.455 754.356i 1.14924 1.45348i
\(520\) −369.279 248.419i −0.710152 0.477728i
\(521\) 91.6758 158.787i 0.175961 0.304774i −0.764532 0.644585i \(-0.777030\pi\)
0.940494 + 0.339812i \(0.110363\pi\)
\(522\) 79.4202 80.4192i 0.152146 0.154060i
\(523\) 133.492 77.0714i 0.255242 0.147364i −0.366920 0.930252i \(-0.619588\pi\)
0.622162 + 0.782888i \(0.286254\pi\)
\(524\) −4.25437 9.53434i −0.00811904 0.0181953i
\(525\) 158.871 141.386i 0.302612 0.269307i
\(526\) 247.519 + 274.670i 0.470568 + 0.522186i
\(527\) −246.570 + 677.446i −0.467875 + 1.28548i
\(528\) −41.9509 116.769i −0.0794525 0.221152i
\(529\) 1.45068 8.22723i 0.00274231 0.0155524i
\(530\) 198.748 7.02238i 0.374996 0.0132498i
\(531\) 699.093 + 740.964i 1.31656 + 1.39541i
\(532\) −524.960 + 37.1433i −0.986767 + 0.0698182i
\(533\) 62.0654 + 52.0791i 0.116445 + 0.0977093i
\(534\) 286.418 + 652.762i 0.536364 + 1.22240i
\(535\) −416.789 + 73.4911i −0.779044 + 0.137366i
\(536\) 182.897 + 176.185i 0.341225 + 0.328704i
\(537\) 563.468 16.4011i 1.04929 0.0305420i
\(538\) 137.672 982.526i 0.255897 1.82626i
\(539\) 70.7998i 0.131354i
\(540\) 337.188 + 5.59742i 0.624422 + 0.0103656i
\(541\) −914.557 −1.69049 −0.845246 0.534377i \(-0.820546\pi\)
−0.845246 + 0.534377i \(0.820546\pi\)
\(542\) 627.454 + 87.9194i 1.15766 + 0.162213i
\(543\) 447.341 275.931i 0.823833 0.508159i
\(544\) −652.880 113.735i −1.20015 0.209071i
\(545\) 10.5180 + 59.6504i 0.0192990 + 0.109450i
\(546\) −54.6101 + 493.929i −0.100019 + 0.904632i
\(547\) −518.289 + 617.673i −0.947512 + 1.12920i 0.0439796 + 0.999032i \(0.485996\pi\)
−0.991492 + 0.130169i \(0.958448\pi\)
\(548\) −762.447 + 53.9465i −1.39133 + 0.0984425i
\(549\) −86.3513 + 738.915i −0.157288 + 1.34593i
\(550\) −2.78386 78.7892i −0.00506157 0.143253i
\(551\) −175.015 30.8599i −0.317632 0.0560071i
\(552\) 535.131 + 116.305i 0.969440 + 0.210698i
\(553\) 1.50468 + 0.547659i 0.00272094 + 0.000990342i
\(554\) −443.349 + 399.524i −0.800269 + 0.721163i
\(555\) 421.518 87.0409i 0.759491 0.156830i
\(556\) −135.572 303.826i −0.243835 0.546450i
\(557\) 309.208 + 535.563i 0.555130 + 0.961514i 0.997893 + 0.0648754i \(0.0206650\pi\)
−0.442763 + 0.896639i \(0.646002\pi\)
\(558\) −569.531 261.255i −1.02066 0.468200i
\(559\) 198.854 + 114.808i 0.355731 + 0.205382i
\(560\) 109.373 + 204.886i 0.195309 + 0.365868i
\(561\) −23.2742 + 158.903i −0.0414870 + 0.283250i
\(562\) −314.830 102.151i −0.560197 0.181764i
\(563\) −22.9512 27.3522i −0.0407660 0.0485830i 0.745276 0.666756i \(-0.232318\pi\)
−0.786042 + 0.618173i \(0.787873\pi\)
\(564\) 25.6209 2.56383i 0.0454272 0.00454580i
\(565\) −269.429 + 98.0640i −0.476865 + 0.173565i
\(566\) −661.749 351.509i −1.16917 0.621040i
\(567\) −169.007 336.485i −0.298071 0.593448i
\(568\) −0.0634033 0.596156i −0.000111625 0.00104957i
\(569\) −519.027 + 188.910i −0.912174 + 0.332004i −0.755120 0.655586i \(-0.772422\pi\)
−0.157053 + 0.987590i \(0.550199\pi\)
\(570\) −294.135 441.189i −0.516026 0.774016i
\(571\) 114.533 + 136.496i 0.200584 + 0.239046i 0.856954 0.515392i \(-0.172354\pi\)
−0.656371 + 0.754439i \(0.727909\pi\)
\(572\) 128.076 + 132.408i 0.223909 + 0.231483i
\(573\) −35.5724 + 242.868i −0.0620809 + 0.423853i
\(574\) −15.8545 39.1948i −0.0276211 0.0682837i
\(575\) 301.345 + 173.982i 0.524078 + 0.302577i
\(576\) 144.452 557.593i 0.250784 0.968043i
\(577\) −112.675 195.160i −0.195278 0.338231i 0.751714 0.659490i \(-0.229228\pi\)
−0.946992 + 0.321258i \(0.895894\pi\)
\(578\) 220.548 + 172.165i 0.381570 + 0.297862i
\(579\) −903.158 + 186.497i −1.55986 + 0.322102i
\(580\) 19.0362 + 76.0830i 0.0328210 + 0.131178i
\(581\) 415.457 + 151.214i 0.715073 + 0.260265i
\(582\) 267.643 + 280.162i 0.459868 + 0.481378i
\(583\) −81.0648 14.2939i −0.139048 0.0245178i
\(584\) −566.300 777.423i −0.969691 1.33120i
\(585\) −459.740 + 198.324i −0.785881 + 0.339015i
\(586\) 381.813 + 610.469i 0.651558 + 1.04176i
\(587\) −574.331 + 684.461i −0.978418 + 1.16603i 0.00769749 + 0.999970i \(0.497550\pi\)
−0.986115 + 0.166062i \(0.946895\pi\)
\(588\) −185.149 + 271.565i −0.314879 + 0.461846i
\(589\) 171.082 + 970.253i 0.290461 + 1.64729i
\(590\) −691.370 + 147.253i −1.17181 + 0.249581i
\(591\) −37.3394 + 23.0318i −0.0631800 + 0.0389709i
\(592\) 24.4460 734.739i 0.0412939 1.24111i
\(593\) −272.894 −0.460192 −0.230096 0.973168i \(-0.573904\pi\)
−0.230096 + 0.973168i \(0.573904\pi\)
\(594\) −136.021 31.3396i −0.228992 0.0527603i
\(595\) 300.617i 0.505239i
\(596\) 173.974 + 126.181i 0.291902 + 0.211712i
\(597\) 33.3092 0.969544i 0.0557944 0.00162403i
\(598\) −795.222 + 169.372i −1.32980 + 0.283231i
\(599\) −104.010 + 18.3398i −0.173639 + 0.0306173i −0.259792 0.965665i \(-0.583654\pi\)
0.0861523 + 0.996282i \(0.472543\pi\)
\(600\) 195.364 309.490i 0.325607 0.515817i
\(601\) 60.5640 + 50.8193i 0.100772 + 0.0845578i 0.691782 0.722107i \(-0.256826\pi\)
−0.591010 + 0.806665i \(0.701270\pi\)
\(602\) −63.5388 101.590i −0.105546 0.168755i
\(603\) 277.995 65.8922i 0.461020 0.109274i
\(604\) 179.398 + 87.3156i 0.297017 + 0.144562i
\(605\) −61.9861 + 351.540i −0.102456 + 0.581059i
\(606\) −736.411 + 179.393i −1.21520 + 0.296028i
\(607\) 290.469 798.058i 0.478533 1.31476i −0.432206 0.901775i \(-0.642265\pi\)
0.910739 0.412983i \(-0.135513\pi\)
\(608\) −850.412 + 311.509i −1.39870 + 0.512350i
\(609\) 65.4166 58.2170i 0.107416 0.0955945i
\(610\) −406.918 317.650i −0.667079 0.520737i
\(611\) −33.1077 + 19.1147i −0.0541860 + 0.0312843i
\(612\) −504.821 + 548.637i −0.824871 + 0.896466i
\(613\) 481.100 833.290i 0.784829 1.35936i −0.144272 0.989538i \(-0.546084\pi\)
0.929101 0.369825i \(-0.120583\pi\)
\(614\) 22.4698 + 55.5488i 0.0365957 + 0.0904703i
\(615\) 26.4214 33.4160i 0.0429616 0.0543349i
\(616\) −26.6116 92.3748i −0.0432006 0.149959i
\(617\) 635.302 533.081i 1.02966 0.863989i 0.0388514 0.999245i \(-0.487630\pi\)
0.990811 + 0.135256i \(0.0431857\pi\)
\(618\) 417.811 845.037i 0.676070 1.36737i
\(619\) 126.739 + 348.213i 0.204748 + 0.562541i 0.998984 0.0450690i \(-0.0143508\pi\)
−0.794236 + 0.607610i \(0.792129\pi\)
\(620\) 360.259 243.430i 0.581063 0.392628i
\(621\) 435.619 435.646i 0.701479 0.701523i
\(622\) −467.909 248.544i −0.752265 0.399589i
\(623\) 188.895 + 518.985i 0.303202 + 0.833041i
\(624\) 144.997 + 842.807i 0.232367 + 1.35065i
\(625\) −8.58152 + 7.20075i −0.0137304 + 0.0115212i
\(626\) 264.156 + 85.7092i 0.421974 + 0.136916i
\(627\) 81.0339 + 203.968i 0.129241 + 0.325308i
\(628\) −75.0119 + 719.389i −0.119446 + 1.14552i
\(629\) −475.772 + 824.061i −0.756394 + 1.31011i
\(630\) 260.426 + 21.1450i 0.413375 + 0.0335636i
\(631\) −153.085 + 88.3837i −0.242607 + 0.140069i −0.616374 0.787453i \(-0.711399\pi\)
0.373767 + 0.927523i \(0.378066\pi\)
\(632\) 2.74913 + 0.188826i 0.00434990 + 0.000298775i
\(633\) 657.923 + 218.004i 1.03937 + 0.344399i
\(634\) −290.815 + 262.068i −0.458699 + 0.413357i
\(635\) 227.909 626.174i 0.358911 0.986101i
\(636\) −273.558 266.820i −0.430123 0.419528i
\(637\) 84.7379 480.573i 0.133027 0.754431i
\(638\) −1.14628 32.4421i −0.00179668 0.0508497i
\(639\) −0.602724 0.302684i −0.000943230 0.000473684i
\(640\) 278.472 + 286.708i 0.435113 + 0.447981i
\(641\) −603.967 506.789i −0.942227 0.790622i 0.0357447 0.999361i \(-0.488620\pi\)
−0.977971 + 0.208739i \(0.933064\pi\)
\(642\) 655.319 + 481.541i 1.02075 + 0.750063i
\(643\) −887.935 + 156.567i −1.38093 + 0.243494i −0.814282 0.580469i \(-0.802869\pi\)
−0.566643 + 0.823963i \(0.691758\pi\)
\(644\) 407.949 + 116.614i 0.633461 + 0.181078i
\(645\) 57.2970 106.267i 0.0888325 0.164754i
\(646\) 1160.92 + 162.669i 1.79709 + 0.251810i
\(647\) 609.723i 0.942385i −0.882030 0.471193i \(-0.843824\pi\)
0.882030 0.471193i \(-0.156176\pi\)
\(648\) −439.778 475.919i −0.678670 0.734443i
\(649\) 292.584 0.450823
\(650\) −75.4039 + 538.135i −0.116006 + 0.827900i
\(651\) −427.317 230.402i −0.656401 0.353919i
\(652\) 9.80331 34.2948i 0.0150358 0.0525994i
\(653\) 100.348 + 569.103i 0.153673 + 0.871521i 0.959989 + 0.280037i \(0.0903467\pi\)
−0.806317 + 0.591484i \(0.798542\pi\)
\(654\) 68.9176 93.7886i 0.105379 0.143408i
\(655\) 5.23885 6.24342i 0.00799824 0.00953193i
\(656\) −44.8901 57.2621i −0.0684301 0.0872897i
\(657\) −1080.21 + 62.9372i −1.64415 + 0.0957949i
\(658\) 19.9373 0.704447i 0.0302999 0.00107059i
\(659\) −649.326 114.494i −0.985320 0.173739i −0.342302 0.939590i \(-0.611207\pi\)
−0.643018 + 0.765851i \(0.722318\pi\)
\(660\) 67.6295 69.3375i 0.102469 0.105057i
\(661\) 270.159 + 98.3300i 0.408713 + 0.148759i 0.538191 0.842823i \(-0.319108\pi\)
−0.129478 + 0.991582i \(0.541330\pi\)
\(662\) 15.7109 + 17.4343i 0.0237325 + 0.0263358i
\(663\) 348.166 1050.74i 0.525137 1.58483i
\(664\) 759.063 + 52.1366i 1.14317 + 0.0785190i
\(665\) −205.413 355.786i −0.308892 0.535017i
\(666\) −680.422 470.126i −1.02165 0.705895i
\(667\) 124.081 + 71.6384i 0.186029 + 0.107404i
\(668\) 1151.56 + 120.075i 1.72389 + 0.179753i
\(669\) 66.8247 26.5486i 0.0998875 0.0396839i
\(670\) −61.1835 + 188.568i −0.0913186 + 0.281444i
\(671\) 137.344 + 163.680i 0.204686 + 0.243935i
\(672\) 139.496 423.912i 0.207584 0.630822i
\(673\) 615.335 223.963i 0.914316 0.332784i 0.158341 0.987384i \(-0.449385\pi\)
0.755975 + 0.654601i \(0.227163\pi\)
\(674\) 85.9093 161.733i 0.127462 0.239959i
\(675\) −174.022 373.160i −0.257810 0.552830i
\(676\) −332.399 491.928i −0.491715 0.727704i
\(677\) −350.399 + 127.535i −0.517576 + 0.188382i −0.587583 0.809164i \(-0.699920\pi\)
0.0700062 + 0.997547i \(0.477698\pi\)
\(678\) 493.868 + 244.183i 0.728418 + 0.360151i
\(679\) 192.962 + 229.963i 0.284186 + 0.338679i
\(680\) −143.212 497.120i −0.210605 0.731058i
\(681\) −689.923 545.508i −1.01310 0.801040i
\(682\) −166.833 + 67.4849i −0.244623 + 0.0989515i
\(683\) −403.114 232.738i −0.590211 0.340758i 0.174970 0.984574i \(-0.444017\pi\)
−0.765181 + 0.643815i \(0.777350\pi\)
\(684\) −222.579 + 994.269i −0.325408 + 1.45361i
\(685\) −298.340 516.741i −0.435533 0.754366i
\(686\) −437.027 + 559.844i −0.637066 + 0.816099i
\(687\) 499.382 + 561.140i 0.726903 + 0.816797i
\(688\) −153.468 137.727i −0.223065 0.200184i
\(689\) 533.141 + 194.047i 0.773790 + 0.281636i
\(690\) 101.181 + 415.348i 0.146639 + 0.601954i
\(691\) 822.564 + 145.040i 1.19040 + 0.209899i 0.733543 0.679643i \(-0.237865\pi\)
0.456853 + 0.889542i \(0.348976\pi\)
\(692\) 561.142 1152.92i 0.810899 1.66607i
\(693\) −103.605 31.0151i −0.149503 0.0447548i
\(694\) −607.760 + 380.119i −0.875735 + 0.547722i
\(695\) 166.944 198.956i 0.240207 0.286268i
\(696\) 80.4428 127.435i 0.115579 0.183097i
\(697\) 16.3539 + 92.7473i 0.0234632 + 0.133066i
\(698\) 188.217 + 883.701i 0.269652 + 1.26605i
\(699\) −7.73867 265.867i −0.0110711 0.380353i
\(700\) 166.486 229.546i 0.237838 0.327923i
\(701\) −318.239 −0.453978 −0.226989 0.973897i \(-0.572888\pi\)
−0.226989 + 0.973897i \(0.572888\pi\)
\(702\) 885.773 + 375.526i 1.26178 + 0.534937i
\(703\) 1300.39i 1.84977i
\(704\) −88.0131 140.079i −0.125019 0.198976i
\(705\) 10.5525 + 17.1077i 0.0149680 + 0.0242663i
\(706\) −77.3002 362.934i −0.109490 0.514070i
\(707\) −578.321 + 101.974i −0.817994 + 0.144234i
\(708\) 1122.26 + 765.139i 1.58511 + 1.08071i
\(709\) −153.512 128.812i −0.216519 0.181681i 0.528077 0.849197i \(-0.322913\pi\)
−0.744596 + 0.667515i \(0.767358\pi\)
\(710\) 0.396789 0.248168i 0.000558858 0.000349533i
\(711\) 1.85118 2.48667i 0.00260363 0.00349743i
\(712\) 559.608 + 768.237i 0.785966 + 1.07898i
\(713\) 137.929 782.233i 0.193449 1.09710i
\(714\) −417.678 + 399.015i −0.584984 + 0.558844i
\(715\) −49.1843 + 135.133i −0.0687892 + 0.188997i
\(716\) 729.133 182.431i 1.01834 0.254792i
\(717\) −182.667 884.610i −0.254765 1.23377i
\(718\) 27.2096 34.8563i 0.0378964 0.0485464i
\(719\) 95.7306 55.2701i 0.133144 0.0768708i −0.431948 0.901898i \(-0.642174\pi\)
0.565093 + 0.825027i \(0.308840\pi\)
\(720\) 440.730 89.0981i 0.612125 0.123747i
\(721\) 365.188 632.523i 0.506501 0.877286i
\(722\) 815.810 330.000i 1.12993 0.457063i
\(723\) −928.423 135.984i −1.28413 0.188083i
\(724\) 503.709 487.228i 0.695731 0.672968i
\(725\) 73.3535 61.5509i 0.101177 0.0848978i
\(726\) 570.706 380.482i 0.786096 0.524080i
\(727\) 258.380 + 709.893i 0.355406 + 0.976469i 0.980603 + 0.196002i \(0.0627961\pi\)
−0.625198 + 0.780466i \(0.714982\pi\)
\(728\) 70.0730 + 658.869i 0.0962541 + 0.905040i
\(729\) −717.917 + 126.634i −0.984797 + 0.173709i
\(730\) 352.218 663.084i 0.482490 0.908334i
\(731\) 91.2871 + 250.809i 0.124880 + 0.343104i
\(732\) 98.7665 + 986.995i 0.134927 + 1.34835i
\(733\) −217.881 + 182.824i −0.297245 + 0.249419i −0.779197 0.626780i \(-0.784373\pi\)
0.481951 + 0.876198i \(0.339928\pi\)
\(734\) −40.2338 + 124.001i −0.0548144 + 0.168938i
\(735\) −253.868 37.1834i −0.345398 0.0505897i
\(736\) 730.164 1.50337i 0.992070 0.00204262i
\(737\) 41.0279 71.0624i 0.0556688 0.0964212i
\(738\) −81.4977 + 7.64369i −0.110431 + 0.0103573i
\(739\) 336.529 194.295i 0.455385 0.262916i −0.254717 0.967016i \(-0.581982\pi\)
0.710102 + 0.704099i \(0.248649\pi\)
\(740\) 524.074 233.850i 0.708208 0.316013i
\(741\) −305.916 1481.48i −0.412842 1.99929i
\(742\) −198.201 219.942i −0.267117 0.296418i
\(743\) −53.3057 + 146.456i −0.0717439 + 0.197115i −0.970382 0.241576i \(-0.922336\pi\)
0.898638 + 0.438691i \(0.144558\pi\)
\(744\) −816.399 177.436i −1.09731 0.238489i
\(745\) −29.1330 + 165.221i −0.0391047 + 0.221774i
\(746\) −160.083 + 5.65622i −0.214588 + 0.00758206i
\(747\) 511.128 686.594i 0.684242 0.919136i
\(748\) 15.1130 + 213.598i 0.0202045 + 0.285558i
\(749\) 482.659 + 404.999i 0.644405 + 0.540720i
\(750\) 749.522 + 82.8691i 0.999362 + 0.110492i
\(751\) 565.429 99.7004i 0.752901 0.132757i 0.215990 0.976396i \(-0.430702\pi\)
0.536911 + 0.843639i \(0.319591\pi\)
\(752\) 32.6340 10.6629i 0.0433963 0.0141794i
\(753\) 326.374 + 529.121i 0.433432 + 0.702684i
\(754\) −31.0482 + 221.582i −0.0411780 + 0.293875i
\(755\) 155.751i 0.206293i
\(756\) −316.289 389.903i −0.418372 0.515744i
\(757\)