Properties

Label 108.3.j.a.31.19
Level 108
Weight 3
Character 108.31
Analytic conductor 2.943
Analytic rank 0
Dimension 204
CM no
Inner twists 4

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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 31.19
Character \(\chi\) \(=\) 108.31
Dual form 108.3.j.a.7.19

$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).

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

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 0.881344 + 0.472476i \(0.156640\pi\)
−0.989788 + 0.142545i \(0.954471\pi\)
\(6\) −3.55285 4.83500i −0.592142 0.805834i
\(7\) −2.98812 3.56110i −0.426874 0.508729i 0.509143 0.860682i \(-0.329962\pi\)
−0.936018 + 0.351953i \(0.885518\pi\)
\(8\) −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 −0.0567345 0.998389i \(-0.518069\pi\)
0.288156 + 0.957583i \(0.406958\pi\)
\(12\) 8.59043 8.37882i 0.715869 0.698235i
\(13\) −16.7420 + 6.09358i −1.28784 + 0.468737i −0.893019 0.450019i \(-0.851417\pi\)
−0.394825 + 0.918756i \(0.629195\pi\)
\(14\) 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 0.382276 + 0.924048i \(0.375140\pi\)
−0.991387 + 0.130963i \(0.958193\pi\)
\(18\) 16.2657 + 7.70894i 0.903649 + 0.428275i
\(19\) −24.5104 + 14.1511i −1.29002 + 0.744794i −0.978658 0.205497i \(-0.934119\pi\)
−0.311363 + 0.950291i \(0.600786\pi\)
\(20\) −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 −0.346312 0.938119i \(-0.612566\pi\)
0.984004 + 0.178148i \(0.0570105\pi\)
\(24\) 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 0.441743 0.897142i \(-0.354360\pi\)
−0.238277 + 0.971197i \(0.576583\pi\)
\(30\) 16.7946 8.30373i 0.559819 0.276791i
\(31\) −22.3759 + 26.6666i −0.721804 + 0.860213i −0.994805 0.101801i \(-0.967539\pi\)
0.273001 + 0.962014i \(0.411984\pi\)
\(32\) 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 0.368419 + 0.929660i \(0.379899\pi\)
−0.989318 + 0.145770i \(0.953434\pi\)
\(38\) −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 −0.393607 0.919279i \(-0.628773\pi\)
0.289381 + 0.957214i \(0.406551\pi\)
\(42\) −6.60160 + 27.0996i −0.157181 + 0.645230i
\(43\) −12.6921 + 2.23796i −0.295165 + 0.0520456i −0.319270 0.947664i \(-0.603438\pi\)
0.0241045 + 0.999709i \(0.492327\pi\)
\(44\) −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 0.780518 0.625134i \(-0.214956\pi\)
−0.751172 + 0.660107i \(0.770511\pi\)
\(48\) −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 0.993736 0.111757i \(-0.0356477\pi\)
0.895583 + 0.444894i \(0.146759\pi\)
\(60\) 21.1078 + 30.9596i 0.351797 + 0.515994i
\(61\) 63.3215 53.1331i 1.03806 0.871034i 0.0462698 0.998929i \(-0.485267\pi\)
0.991788 + 0.127895i \(0.0408222\pi\)
\(62\) −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 0.993968 0.109674i \(-0.0349807\pi\)
−0.831921 + 0.554895i \(0.812759\pi\)
\(68\) 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 0.499543 0.866289i \(-0.333501\pi\)
−0.500457 + 0.865761i \(0.666835\pi\)
\(72\) −71.0321 11.7660i −0.986557 0.163417i
\(73\) −60.1132 104.119i −0.823469 1.42629i −0.903084 0.429465i \(-0.858702\pi\)
0.0796145 0.996826i \(-0.474631\pi\)
\(74\) −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 −0.940436 0.339971i \(-0.889583\pi\)
0.938945 + 0.344068i \(0.111805\pi\)
\(80\) 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 0.574222 + 0.818700i \(0.305305\pi\)
−0.966130 + 0.258057i \(0.916918\pi\)
\(84\) −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 0.978615 + 0.205700i \(0.0659470\pi\)
−0.311167 + 0.950355i \(0.600720\pi\)
\(90\) −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 0.986449 + 0.164065i \(0.0524608\pi\)
−0.870846 + 0.491556i \(0.836428\pi\)
\(98\) 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 −0.0225265 0.999746i \(-0.507171\pi\)
0.980646 + 0.195788i \(0.0627266\pi\)
\(102\) 123.506 13.6552i 1.21084 0.133874i
\(103\) −154.727 27.2826i −1.50221 0.264879i −0.638794 0.769378i \(-0.720566\pi\)
−0.863412 + 0.504499i \(0.831677\pi\)
\(104\) 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 \(0.218320\pi\)
−0.773867 + 0.633348i \(0.781680\pi\)
\(108\) −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 0.829308 + 0.558792i \(0.188735\pi\)
−0.970413 + 0.241453i \(0.922376\pi\)
\(114\) 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 0.456448 0.889750i \(-0.349122\pi\)
0.998770 + 0.0495799i \(0.0157883\pi\)
\(128\) −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 −0.759603 0.650387i \(-0.774607\pi\)
0.772410 + 0.635124i \(0.219051\pi\)
\(132\) 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 0.900463 0.434933i \(-0.143228\pi\)
0.410225 + 0.911985i \(0.365450\pi\)
\(138\) −136.622 8.81304i −0.990015 0.0638626i
\(139\) 53.4641 63.7160i 0.384634 0.458389i −0.538637 0.842538i \(-0.681061\pi\)
0.923271 + 0.384149i \(0.125505\pi\)
\(140\) −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 −0.505840 0.862628i \(-0.668817\pi\)
0.166991 + 0.985958i \(0.446595\pi\)
\(150\) −25.6946 87.8165i −0.171297 0.585444i
\(151\) −49.1219 + 8.66152i −0.325311 + 0.0573610i −0.333919 0.942602i \(-0.608371\pi\)
0.00860797 + 0.999963i \(0.497260\pi\)
\(152\) 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 0.705124 + 0.709084i \(0.250891\pi\)
−0.905121 + 0.425154i \(0.860220\pi\)
\(158\) −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 \(-0.991292\pi\)
0.999626 0.0273531i \(-0.00870785\pi\)
\(164\) 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 −0.766805 0.641880i \(-0.778155\pi\)
−0.940097 + 0.340908i \(0.889266\pi\)
\(168\) −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 −0.531541 0.847032i \(-0.678387\pi\)
0.209783 0.977748i \(-0.432724\pi\)
\(174\) −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 −0.0289558 0.999581i \(-0.509218\pi\)
−0.880140 + 0.474714i \(0.842552\pi\)
\(180\) −99.8172 51.6999i −0.554540 0.287222i
\(181\) −87.5994 151.727i −0.483975 0.838269i 0.515856 0.856675i \(-0.327474\pi\)
−0.999831 + 0.0184065i \(0.994141\pi\)
\(182\) −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 −0.991141 0.132812i \(-0.957599\pi\)
0.844628 + 0.535353i \(0.179822\pi\)
\(192\) 45.8271 186.451i 0.238683 0.971098i
\(193\) 235.485 + 197.596i 1.22013 + 1.02381i 0.998818 + 0.0486086i \(0.0154787\pi\)
0.221313 + 0.975203i \(0.428966\pi\)
\(194\) −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 0.883987 0.467512i \(-0.154850\pi\)
−0.846871 + 0.531799i \(0.821516\pi\)
\(198\) 44.8668 + 12.3231i 0.226600 + 0.0622378i
\(199\) −9.61962 5.55389i −0.0483398 0.0279090i 0.475635 0.879643i \(-0.342218\pi\)
−0.523975 + 0.851734i \(0.675552\pi\)
\(200\) −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 −0.393843 0.919178i \(-0.628855\pi\)
−0.684468 + 0.729042i \(0.739966\pi\)
\(212\) 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 0.730393 0.683027i \(-0.239337\pi\)
−0.799481 + 0.600691i \(0.794892\pi\)
\(224\) 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 0.503366 0.864073i \(-0.332095\pi\)
0.768540 + 0.639802i \(0.220984\pi\)
\(228\) −91.9854 + 326.932i −0.403445 + 1.43391i
\(229\) −235.290 + 85.6387i −1.02747 + 0.373968i −0.800117 0.599844i \(-0.795229\pi\)
−0.227352 + 0.973813i \(0.573007\pi\)
\(230\) −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 −0.755078 0.655635i \(-0.772401\pi\)
0.945335 + 0.326100i \(0.105735\pi\)
\(234\) −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 −0.190080 0.981769i \(-0.560875\pi\)
0.999860 + 0.0167096i \(0.00531909\pi\)
\(240\) −115.216 95.8638i −0.480067 0.399432i
\(241\) 293.914 + 106.976i 1.21956 + 0.443883i 0.870009 0.493035i \(-0.164113\pi\)
0.349549 + 0.936918i \(0.386335\pi\)
\(242\) −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 −0.812909 0.582391i \(-0.802117\pi\)
0.0979113 + 0.995195i \(0.468784\pi\)
\(252\) 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 −0.914432 0.404739i \(-0.867363\pi\)
−0.440335 + 0.897834i \(0.645140\pi\)
\(258\) 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 0.491253 0.871017i \(-0.336539\pi\)
−0.943089 + 0.332540i \(0.892094\pi\)
\(264\) 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 \(-0.801296\pi\)
0.811403 0.584487i \(-0.198704\pi\)
\(272\) 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 −0.954192 0.299196i \(-0.903282\pi\)
0.128957 + 0.991650i \(0.458837\pi\)
\(278\) 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 0.992276 + 0.124051i \(0.0395887\pi\)
−0.890006 + 0.455948i \(0.849300\pi\)
\(282\) 3.04716 12.5086i 0.0108055 0.0443569i
\(283\) 128.140 + 352.062i 0.452792 + 1.24404i 0.930751 + 0.365654i \(0.119155\pi\)
−0.477959 + 0.878382i \(0.658623\pi\)
\(284\) 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 0.0365406 0.999332i \(-0.488366\pi\)
−0.977805 + 0.209518i \(0.932811\pi\)
\(294\) −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 0.457146 0.889392i \(-0.348872\pi\)
−0.541663 + 0.840596i \(0.682205\pi\)
\(308\) 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 0.995872 + 0.0907688i \(0.0289324\pi\)
−0.704537 + 0.709667i \(0.748845\pi\)
\(312\) −407.266 130.273i −1.30534 0.417543i
\(313\) −24.1122 136.747i −0.0770356 0.436891i −0.998793 0.0491230i \(-0.984357\pi\)
0.921757 0.387768i \(-0.126754\pi\)
\(314\) −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 −0.847891 0.530171i \(-0.822128\pi\)
0.374882 + 0.927073i \(0.377683\pi\)
\(318\) 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 0.754530 0.656265i \(-0.227865\pi\)
−0.777318 + 0.629108i \(0.783420\pi\)
\(332\) 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 −0.211187 0.977446i \(-0.567733\pi\)
0.466512 + 0.884515i \(0.345511\pi\)
\(338\) 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 −0.987946 0.154798i \(-0.950527\pi\)
0.324002 + 0.946056i \(0.394972\pi\)
\(348\) 68.6825 30.9905i 0.197363 0.0890531i
\(349\) −424.517 154.511i −1.21638 0.442726i −0.347468 0.937692i \(-0.612958\pi\)
−0.868913 + 0.494966i \(0.835181\pi\)
\(350\) 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 0.576950 0.816780i \(-0.304243\pi\)
−0.0830465 + 0.996546i \(0.526465\pi\)
\(354\) −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 −0.473095 0.881011i \(-0.656863\pi\)
0.526431 + 0.850218i \(0.323530\pi\)
\(360\) 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 −0.260417 0.965496i \(-0.583860\pi\)
0.0855071 + 0.996338i \(0.472749\pi\)
\(368\) 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 −0.997759 0.0669145i \(-0.978685\pi\)
0.960473 + 0.278375i \(0.0897956\pi\)
\(374\) −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 \(0.0455799\pi\)
−0.989765 + 0.142705i \(0.954420\pi\)
\(380\) 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 0.567825 0.823149i \(-0.307785\pi\)
0.252048 + 0.967715i \(0.418896\pi\)
\(384\) 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 0.999986 0.00528095i \(-0.00168099\pi\)
−0.941486 + 0.337053i \(0.890570\pi\)
\(390\) −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 0.998564 0.0535725i \(-0.0170608\pi\)
−0.545677 + 0.837996i \(0.683727\pi\)
\(398\) 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 0.906351 0.422525i \(-0.138856\pi\)
−0.258720 + 0.965952i \(0.583301\pi\)
\(402\) 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 0.919563 0.392943i \(-0.128543\pi\)
−0.227293 + 0.973826i \(0.572988\pi\)
\(410\) 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 0.962304 0.271977i \(-0.0876776\pi\)
−0.911991 + 0.410210i \(0.865455\pi\)
\(420\) 47.1778 167.678i 0.112328 0.399234i
\(421\) −4.86271 27.5778i −0.0115504 0.0655055i 0.978488 0.206305i \(-0.0661439\pi\)
−0.990038 + 0.140799i \(0.955033\pi\)
\(422\) 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 \(0.155798\pi\)
−0.882590 + 0.470143i \(0.844202\pi\)
\(432\) 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 0.981269 0.192643i \(-0.0617060\pi\)
−0.360112 + 0.932909i \(0.617262\pi\)
\(440\) 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 0.569084 0.822280i \(-0.307298\pi\)
0.816000 + 0.578052i \(0.196187\pi\)
\(444\) 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 −0.881725 0.471763i \(-0.843618\pi\)
0.849421 + 0.527715i \(0.176951\pi\)
\(450\) 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 −0.130695 0.991423i \(-0.541721\pi\)
−0.737393 + 0.675464i \(0.763943\pi\)
\(458\) −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 0.371113 0.928588i \(-0.378976\pi\)
−0.312596 + 0.949886i \(0.601198\pi\)
\(462\) −4.64121 + 71.9491i −0.0100459 + 0.155734i
\(463\) 253.832 302.505i 0.548233 0.653359i −0.418779 0.908088i \(-0.637542\pi\)
0.967012 + 0.254729i \(0.0819863\pi\)
\(464\) 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 −0.188961 0.981985i \(-0.560512\pi\)
0.755943 + 0.654638i \(0.227179\pi\)
\(468\) −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 0.823592 0.567182i \(-0.191967\pi\)
−0.701581 + 0.712590i \(0.747522\pi\)
\(480\) 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 \(0.253457\pi\)
−0.699385 + 0.714745i \(0.746543\pi\)
\(488\) −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 0.294867 0.955538i \(-0.404725\pi\)
−0.0497294 + 0.998763i \(0.515836\pi\)
\(492\) −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 0.995189 0.0979740i \(-0.0312362\pi\)
−0.825335 + 0.564643i \(0.809014\pi\)
\(500\) 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 0.986242 0.165310i \(-0.0528624\pi\)
0.349958 + 0.936765i \(0.386196\pi\)
\(504\) 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 0.775646 0.631168i \(-0.217424\pi\)
−0.486890 + 0.873463i \(0.661869\pi\)
\(510\) −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 0.940494 0.339812i \(-0.110363\pi\)
−0.764532 + 0.644585i \(0.777030\pi\)
\(522\) 79.4202 + 80.4192i 0.152146 + 0.154060i
\(523\) 133.492 + 77.0714i 0.255242 + 0.147364i 0.622162 0.782888i \(-0.286254\pi\)
−0.366920 + 0.930252i \(0.619588\pi\)
\(524\) −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 −0.991492 0.130169i \(-0.958448\pi\)
0.0439796 0.999032i \(1.51400\pi\)
\(548\) −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 −0.442763 0.896639i \(-0.646002\pi\)
0.997893 0.0648754i \(-0.0206650\pi\)
\(558\) −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 −0.786042 0.618173i \(-0.787873\pi\)
0.745276 + 0.666756i \(0.232318\pi\)
\(564\) 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 −0.157053 0.987590i \(-0.550199\pi\)
−0.755120 + 0.655586i \(0.772422\pi\)
\(570\) −294.135 + 441.189i −0.516026 + 0.774016i
\(571\) 114.533 136.496i 0.200584 0.239046i −0.656371 0.754439i \(-0.727909\pi\)
0.856954 + 0.515392i \(0.172354\pi\)
\(572\) 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 −0.946992 0.321258i \(-0.895894\pi\)
0.751714 + 0.659490i \(0.229228\pi\)
\(578\) 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 −0.986115 0.166062i \(-0.946895\pi\)
0.00769749 0.999970i \(1.50245\pi\)
\(588\) −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 0.0861523 0.996282i \(-0.472543\pi\)
−0.259792 + 0.965665i \(0.583654\pi\)
\(600\) 195.364 + 309.490i 0.325607 + 0.515817i
\(601\) 60.5640 50.8193i 0.100772 0.0845578i −0.591010 0.806665i \(-0.701270\pi\)
0.691782 + 0.722107i \(0.256826\pi\)
\(602\) −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 0.910739 + 0.412983i \(0.135513\pi\)
−0.432206 + 0.901775i \(0.642265\pi\)
\(608\) −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 0.929101 + 0.369825i \(0.120583\pi\)
−0.144272 + 0.989538i \(0.546084\pi\)
\(614\) 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 0.990811 0.135256i \(-0.0431857\pi\)
0.0388514 + 0.999245i \(0.487630\pi\)
\(618\) 417.811 + 845.037i 0.676070 + 1.36737i
\(619\) 126.739 348.213i 0.204748 0.562541i −0.794236 0.607610i \(-0.792129\pi\)
0.998984 + 0.0450690i \(0.0143508\pi\)
\(620\) 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 0.373767 0.927523i \(-0.378066\pi\)
−0.616374 + 0.787453i \(0.711399\pi\)
\(632\) 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 −0.977971 0.208739i \(-0.933064\pi\)
0.0357447 + 0.999361i \(0.488620\pi\)
\(642\) 655.319 481.541i 1.02075 0.750063i
\(643\) −887.935 156.567i −1.38093 0.243494i −0.566643 0.823963i \(-0.691758\pi\)
−0.814282 + 0.580469i \(0.802869\pi\)
\(644\) 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 \(0.156176\pi\)
−0.882030 + 0.471193i \(0.843824\pi\)
\(648\) −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 −0.806317 0.591484i \(-0.798542\pi\)
0.959989 0.280037i \(-0.0903467\pi\)
\(654\) 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 −0.643018 0.765851i \(-0.722318\pi\)
−0.342302 + 0.939590i \(0.611207\pi\)
\(660\) 67.6295 + 69.3375i 0.102469 + 0.105057i
\(661\) 270.159 98.3300i 0.408713 0.148759i −0.129478 0.991582i \(-0.541330\pi\)
0.538191 + 0.842823i \(0.319108\pi\)
\(662\) 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 0.755975 0.654601i \(-0.227163\pi\)
0.158341 + 0.987384i \(0.449385\pi\)
\(674\) 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 0.0700062 0.997547i \(-0.477698\pi\)
−0.587583 + 0.809164i \(0.699920\pi\)
\(678\) 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 −0.765181 0.643815i \(-0.777350\pi\)
0.174970 + 0.984574i \(0.444017\pi\)
\(684\) −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 0.456853 0.889542i \(-0.348976\pi\)
0.733543 + 0.679643i \(0.237865\pi\)
\(692\) 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 −0.744596 0.667515i \(-0.767358\pi\)
0.528077 + 0.849197i \(0.322913\pi\)
\(710\) 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 0.565093 0.825027i \(-0.308840\pi\)
−0.431948 + 0.901898i \(0.642174\pi\)
\(720\) 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 −0.625198 0.780466i \(-0.714982\pi\)
0.980603 0.196002i \(-0.0627961\pi\)
\(728\) 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 0.481951 0.876198i \(-0.339928\pi\)
−0.779197 + 0.626780i \(0.784373\pi\)
\(734\) −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 0.710102 0.704099i \(-0.248649\pi\)
−0.254717 + 0.967016i \(0.581982\pi\)
\(740\) 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 0.898638 0.438691i \(-0.144558\pi\)
−0.970382 + 0.241576i \(0.922336\pi\)
\(744\) −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 0.536911 0.843639i \(-0.319591\pi\)
0.215990 + 0.976396i \(0.430702\pi\)
\(752\) 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