Properties

Label 230.3.i.a.19.15
Level $230$
Weight $3$
Character 230.19
Analytic conductor $6.267$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 230.i (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.26704608029\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 19.15
Character \(\chi\) \(=\) 230.19
Dual form 230.3.i.a.109.15

$q$-expansion

\(f(q)\) \(=\) \(q+(1.28641 - 0.587486i) q^{2} +(-0.725559 - 2.47103i) q^{3} +(1.30972 - 1.51150i) q^{4} +(4.93077 + 0.829144i) q^{5} +(-2.38506 - 2.75251i) q^{6} +(-0.102488 - 0.712820i) q^{7} +(0.796860 - 2.71386i) q^{8} +(1.99174 - 1.28002i) q^{9} +O(q^{10})\) \(q+(1.28641 - 0.587486i) q^{2} +(-0.725559 - 2.47103i) q^{3} +(1.30972 - 1.51150i) q^{4} +(4.93077 + 0.829144i) q^{5} +(-2.38506 - 2.75251i) q^{6} +(-0.102488 - 0.712820i) q^{7} +(0.796860 - 2.71386i) q^{8} +(1.99174 - 1.28002i) q^{9} +(6.83012 - 1.83014i) q^{10} +(10.3444 + 4.72412i) q^{11} +(-4.68524 - 2.13968i) q^{12} +(-4.37372 - 0.628847i) q^{13} +(-0.550614 - 0.856771i) q^{14} +(-1.52873 - 12.7857i) q^{15} +(-0.569259 - 3.95929i) q^{16} +(-21.2072 - 24.4744i) q^{17} +(1.81022 - 2.81675i) q^{18} +(-3.60054 - 3.11988i) q^{19} +(7.71119 - 6.36691i) q^{20} +(-1.68704 + 0.770444i) q^{21} +16.0825 q^{22} +(0.814663 + 22.9856i) q^{23} -7.28418 q^{24} +(23.6250 + 8.17664i) q^{25} +(-5.99586 + 1.76054i) q^{26} +(-22.1249 - 19.1714i) q^{27} +(-1.21166 - 0.778685i) q^{28} +(24.5625 + 28.3467i) q^{29} +(-9.47797 - 15.5495i) q^{30} +(-32.2132 - 9.45864i) q^{31} +(-3.05833 - 4.75885i) q^{32} +(4.16797 - 28.9888i) q^{33} +(-41.6595 - 19.0253i) q^{34} +(0.0856849 - 3.59973i) q^{35} +(0.673887 - 4.68698i) q^{36} +(19.5470 - 12.5621i) q^{37} +(-6.46467 - 1.89820i) q^{38} +(1.61950 + 11.2639i) q^{39} +(6.17931 - 12.7207i) q^{40} +(51.2789 + 32.9549i) q^{41} +(-1.71760 + 1.98222i) q^{42} +(-57.0767 + 16.7592i) q^{43} +(20.6887 - 9.44823i) q^{44} +(10.8822 - 4.66003i) q^{45} +(14.5517 + 29.0904i) q^{46} -11.8605i q^{47} +(-9.37047 + 4.27935i) q^{48} +(46.5175 - 13.6588i) q^{49} +(35.1952 - 3.36083i) q^{50} +(-45.0898 + 70.1611i) q^{51} +(-6.67886 + 5.78727i) q^{52} +(9.85079 + 68.5137i) q^{53} +(-39.7247 - 11.6642i) q^{54} +(47.0888 + 31.8705i) q^{55} +(-2.01616 - 0.289880i) q^{56} +(-5.09691 + 11.1607i) q^{57} +(48.2508 + 22.0354i) q^{58} +(2.06686 - 14.3753i) q^{59} +(-21.3277 - 14.4350i) q^{60} +(-17.8602 + 60.8264i) q^{61} +(-46.9963 + 6.75704i) q^{62} +(-1.11655 - 1.28857i) q^{63} +(-6.73003 - 4.32513i) q^{64} +(-21.0444 - 6.72715i) q^{65} +(-11.6688 - 39.7403i) q^{66} +(41.1267 + 90.0550i) q^{67} -64.7685 q^{68} +(56.2069 - 18.6904i) q^{69} +(-2.00456 - 4.68108i) q^{70} +(12.0501 + 26.3860i) q^{71} +(-1.88664 - 6.42530i) q^{72} +(54.0446 + 46.8299i) q^{73} +(17.7655 - 27.6436i) q^{74} +(3.06333 - 64.3107i) q^{75} +(-9.43140 + 1.35603i) q^{76} +(2.30727 - 7.85784i) q^{77} +(8.70070 + 13.5385i) q^{78} +(-106.477 - 15.3091i) q^{79} +(0.475928 - 19.9943i) q^{80} +(-22.4682 + 49.1985i) q^{81} +(85.3265 + 12.2681i) q^{82} +(-13.3395 + 8.57279i) q^{83} +(-1.04502 + 3.55902i) q^{84} +(-84.2750 - 138.261i) q^{85} +(-63.5784 + 55.0910i) q^{86} +(52.2238 - 81.2618i) q^{87} +(21.0636 - 24.3087i) q^{88} +(-14.4618 - 49.2524i) q^{89} +(11.2613 - 12.3878i) q^{90} +3.18213i q^{91} +(35.8096 + 28.8733i) q^{92} +86.4624i q^{93} +(-6.96789 - 15.2576i) q^{94} +(-15.1666 - 18.3688i) q^{95} +(-9.54025 + 11.0100i) q^{96} +(-16.1241 - 10.3624i) q^{97} +(51.8165 - 44.8992i) q^{98} +(26.6503 - 3.83173i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 48q^{4} - 8q^{6} + 96q^{9} + O(q^{10}) \) \( 240q + 48q^{4} - 8q^{6} + 96q^{9} + 154q^{15} - 96q^{16} + 44q^{20} + 16q^{24} - 84q^{25} + 32q^{26} - 100q^{29} - 352q^{30} + 124q^{31} + 28q^{35} - 192q^{36} + 72q^{39} + 116q^{41} - 148q^{46} - 188q^{49} + 144q^{50} + 324q^{54} + 796q^{55} - 264q^{56} + 400q^{59} + 176q^{60} - 616q^{61} + 192q^{64} + 462q^{65} - 176q^{66} + 120q^{69} - 504q^{70} + 464q^{71} - 528q^{74} - 934q^{75} - 968q^{79} - 264q^{80} + 664q^{81} - 352q^{84} - 1196q^{85} + 396q^{86} + 376q^{94} + 126q^{95} - 32q^{96} - 3300q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(47\) \(51\)
\(\chi(n)\) \(-1\) \(e\left(\frac{15}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.28641 0.587486i 0.643207 0.293743i
\(3\) −0.725559 2.47103i −0.241853 0.823676i −0.987539 0.157378i \(-0.949696\pi\)
0.745686 0.666298i \(-0.232122\pi\)
\(4\) 1.30972 1.51150i 0.327430 0.377875i
\(5\) 4.93077 + 0.829144i 0.986155 + 0.165829i
\(6\) −2.38506 2.75251i −0.397510 0.458751i
\(7\) −0.102488 0.712820i −0.0146412 0.101831i 0.981190 0.193042i \(-0.0618354\pi\)
−0.995832 + 0.0912107i \(0.970926\pi\)
\(8\) 0.796860 2.71386i 0.0996075 0.339232i
\(9\) 1.99174 1.28002i 0.221305 0.142224i
\(10\) 6.83012 1.83014i 0.683012 0.183014i
\(11\) 10.3444 + 4.72412i 0.940397 + 0.429465i 0.825810 0.563948i \(-0.190718\pi\)
0.114587 + 0.993413i \(0.463445\pi\)
\(12\) −4.68524 2.13968i −0.390436 0.178306i
\(13\) −4.37372 0.628847i −0.336440 0.0483728i −0.0279756 0.999609i \(-0.508906\pi\)
−0.308465 + 0.951236i \(0.599815\pi\)
\(14\) −0.550614 0.856771i −0.0393295 0.0611980i
\(15\) −1.52873 12.7857i −0.101915 0.852378i
\(16\) −0.569259 3.95929i −0.0355787 0.247455i
\(17\) −21.2072 24.4744i −1.24748 1.43967i −0.853948 0.520359i \(-0.825798\pi\)
−0.393533 0.919310i \(-0.628747\pi\)
\(18\) 1.81022 2.81675i 0.100568 0.156486i
\(19\) −3.60054 3.11988i −0.189502 0.164204i 0.554943 0.831889i \(-0.312740\pi\)
−0.744445 + 0.667684i \(0.767286\pi\)
\(20\) 7.71119 6.36691i 0.385559 0.318346i
\(21\) −1.68704 + 0.770444i −0.0803351 + 0.0366878i
\(22\) 16.0825 0.731022
\(23\) 0.814663 + 22.9856i 0.0354201 + 0.999373i
\(24\) −7.28418 −0.303507
\(25\) 23.6250 + 8.17664i 0.945002 + 0.327066i
\(26\) −5.99586 + 1.76054i −0.230610 + 0.0677132i
\(27\) −22.1249 19.1714i −0.819442 0.710051i
\(28\) −1.21166 0.778685i −0.0432735 0.0278102i
\(29\) 24.5625 + 28.3467i 0.846983 + 0.977471i 0.999942 0.0107619i \(-0.00342567\pi\)
−0.152959 + 0.988233i \(0.548880\pi\)
\(30\) −9.47797 15.5495i −0.315932 0.518318i
\(31\) −32.2132 9.45864i −1.03913 0.305117i −0.282715 0.959204i \(-0.591235\pi\)
−0.756419 + 0.654087i \(0.773053\pi\)
\(32\) −3.05833 4.75885i −0.0955727 0.148714i
\(33\) 4.16797 28.9888i 0.126302 0.878450i
\(34\) −41.6595 19.0253i −1.22528 0.559567i
\(35\) 0.0856849 3.59973i 0.00244814 0.102849i
\(36\) 0.673887 4.68698i 0.0187191 0.130194i
\(37\) 19.5470 12.5621i 0.528297 0.339516i −0.249150 0.968465i \(-0.580151\pi\)
0.777446 + 0.628949i \(0.216515\pi\)
\(38\) −6.46467 1.89820i −0.170123 0.0499526i
\(39\) 1.61950 + 11.2639i 0.0415256 + 0.288817i
\(40\) 6.17931 12.7207i 0.154483 0.318017i
\(41\) 51.2789 + 32.9549i 1.25070 + 0.803779i 0.986984 0.160820i \(-0.0514138\pi\)
0.263721 + 0.964599i \(0.415050\pi\)
\(42\) −1.71760 + 1.98222i −0.0408953 + 0.0471957i
\(43\) −57.0767 + 16.7592i −1.32736 + 0.389749i −0.867145 0.498056i \(-0.834047\pi\)
−0.460220 + 0.887805i \(0.652229\pi\)
\(44\) 20.6887 9.44823i 0.470199 0.214733i
\(45\) 10.8822 4.66003i 0.241826 0.103556i
\(46\) 14.5517 + 29.0904i 0.316341 + 0.632399i
\(47\) 11.8605i 0.252352i −0.992008 0.126176i \(-0.959730\pi\)
0.992008 0.126176i \(-0.0402704\pi\)
\(48\) −9.37047 + 4.27935i −0.195218 + 0.0891531i
\(49\) 46.5175 13.6588i 0.949338 0.278751i
\(50\) 35.1952 3.36083i 0.703905 0.0672166i
\(51\) −45.0898 + 70.1611i −0.884114 + 1.37571i
\(52\) −6.67886 + 5.78727i −0.128440 + 0.111294i
\(53\) 9.85079 + 68.5137i 0.185864 + 1.29271i 0.842579 + 0.538573i \(0.181036\pi\)
−0.656715 + 0.754139i \(0.728055\pi\)
\(54\) −39.7247 11.6642i −0.735643 0.216004i
\(55\) 47.0888 + 31.8705i 0.856160 + 0.579464i
\(56\) −2.01616 0.289880i −0.0360029 0.00517643i
\(57\) −5.09691 + 11.1607i −0.0894195 + 0.195801i
\(58\) 48.2508 + 22.0354i 0.831910 + 0.379921i
\(59\) 2.06686 14.3753i 0.0350315 0.243650i −0.964780 0.263058i \(-0.915269\pi\)
0.999812 + 0.0194079i \(0.00617813\pi\)
\(60\) −21.3277 14.4350i −0.355462 0.240583i
\(61\) −17.8602 + 60.8264i −0.292791 + 0.997154i 0.673390 + 0.739288i \(0.264838\pi\)
−0.966181 + 0.257867i \(0.916980\pi\)
\(62\) −46.9963 + 6.75704i −0.758004 + 0.108985i
\(63\) −1.11655 1.28857i −0.0177230 0.0204535i
\(64\) −6.73003 4.32513i −0.105157 0.0675801i
\(65\) −21.0444 6.72715i −0.323761 0.103495i
\(66\) −11.6688 39.7403i −0.176800 0.602125i
\(67\) 41.1267 + 90.0550i 0.613832 + 1.34410i 0.919922 + 0.392102i \(0.128252\pi\)
−0.306090 + 0.952003i \(0.599021\pi\)
\(68\) −64.7685 −0.952478
\(69\) 56.2069 18.6904i 0.814592 0.270876i
\(70\) −2.00456 4.68108i −0.0286366 0.0668726i
\(71\) 12.0501 + 26.3860i 0.169720 + 0.371634i 0.975311 0.220838i \(-0.0708792\pi\)
−0.805591 + 0.592472i \(0.798152\pi\)
\(72\) −1.88664 6.42530i −0.0262033 0.0892403i
\(73\) 54.0446 + 46.8299i 0.740337 + 0.641506i 0.941098 0.338135i \(-0.109796\pi\)
−0.200761 + 0.979640i \(0.564341\pi\)
\(74\) 17.7655 27.6436i 0.240074 0.373562i
\(75\) 3.06333 64.3107i 0.0408444 0.857477i
\(76\) −9.43140 + 1.35603i −0.124097 + 0.0178425i
\(77\) 2.30727 7.85784i 0.0299646 0.102050i
\(78\) 8.70070 + 13.5385i 0.111547 + 0.173571i
\(79\) −106.477 15.3091i −1.34781 0.193786i −0.569669 0.821874i \(-0.692929\pi\)
−0.778142 + 0.628088i \(0.783838\pi\)
\(80\) 0.475928 19.9943i 0.00594910 0.249929i
\(81\) −22.4682 + 49.1985i −0.277385 + 0.607389i
\(82\) 85.3265 + 12.2681i 1.04057 + 0.149611i
\(83\) −13.3395 + 8.57279i −0.160717 + 0.103287i −0.618527 0.785763i \(-0.712270\pi\)
0.457810 + 0.889050i \(0.348634\pi\)
\(84\) −1.04502 + 3.55902i −0.0124407 + 0.0423693i
\(85\) −84.2750 138.261i −0.991470 1.62660i
\(86\) −63.5784 + 55.0910i −0.739284 + 0.640593i
\(87\) 52.2238 81.2618i 0.600273 0.934044i
\(88\) 21.0636 24.3087i 0.239359 0.276235i
\(89\) −14.4618 49.2524i −0.162492 0.553397i −0.999976 0.00693516i \(-0.997792\pi\)
0.837484 0.546462i \(-0.184026\pi\)
\(90\) 11.2613 12.3878i 0.125125 0.137643i
\(91\) 3.18213i 0.0349684i
\(92\) 35.8096 + 28.8733i 0.389235 + 0.313841i
\(93\) 86.4624i 0.929703i
\(94\) −6.96789 15.2576i −0.0741265 0.162314i
\(95\) −15.1666 18.3688i −0.159648 0.193356i
\(96\) −9.54025 + 11.0100i −0.0993776 + 0.114688i
\(97\) −16.1241 10.3624i −0.166228 0.106828i 0.454882 0.890552i \(-0.349682\pi\)
−0.621110 + 0.783723i \(0.713318\pi\)
\(98\) 51.8165 44.8992i 0.528740 0.458155i
\(99\) 26.6503 3.83173i 0.269195 0.0387044i
\(100\) 43.3012 25.0001i 0.433012 0.250001i
\(101\) −104.679 + 67.2729i −1.03642 + 0.666068i −0.944099 0.329661i \(-0.893066\pi\)
−0.0923231 + 0.995729i \(0.529429\pi\)
\(102\) −16.7855 + 116.746i −0.164564 + 1.14457i
\(103\) −44.7873 + 98.0704i −0.434828 + 0.952140i 0.557691 + 0.830049i \(0.311687\pi\)
−0.992519 + 0.122091i \(0.961040\pi\)
\(104\) −5.19185 + 11.3686i −0.0499216 + 0.109313i
\(105\) −8.95720 + 2.40009i −0.0853067 + 0.0228580i
\(106\) 52.9230 + 82.3498i 0.499274 + 0.776885i
\(107\) −62.5016 18.3521i −0.584127 0.171515i −0.0237001 0.999719i \(-0.507545\pi\)
−0.560427 + 0.828204i \(0.689363\pi\)
\(108\) −57.9550 + 8.33267i −0.536620 + 0.0771544i
\(109\) 136.819 118.554i 1.25522 1.08765i 0.262785 0.964855i \(-0.415359\pi\)
0.992432 0.122797i \(-0.0391863\pi\)
\(110\) 79.2991 + 13.3347i 0.720901 + 0.121225i
\(111\) −45.2237 39.1866i −0.407421 0.353032i
\(112\) −2.76392 + 0.811559i −0.0246778 + 0.00724606i
\(113\) −66.6748 145.997i −0.590043 1.29201i −0.935416 0.353548i \(-0.884975\pi\)
0.345374 0.938465i \(-0.387752\pi\)
\(114\) 17.3516i 0.152207i
\(115\) −15.0414 + 114.012i −0.130795 + 0.991409i
\(116\) 75.0160 0.646690
\(117\) −9.51627 + 4.34594i −0.0813357 + 0.0371448i
\(118\) −5.78646 19.7069i −0.0490378 0.167007i
\(119\) −15.2723 + 17.6252i −0.128339 + 0.148111i
\(120\) −35.9166 6.03963i −0.299305 0.0503303i
\(121\) 5.45060 + 6.29033i 0.0450463 + 0.0519862i
\(122\) 12.7590 + 88.7406i 0.104582 + 0.727382i
\(123\) 44.2267 150.622i 0.359567 1.22457i
\(124\) −56.4870 + 36.3020i −0.455540 + 0.292758i
\(125\) 109.710 + 59.9057i 0.877681 + 0.479246i
\(126\) −2.19336 1.00168i −0.0174076 0.00794980i
\(127\) 30.1479 + 13.7681i 0.237385 + 0.108410i 0.530556 0.847650i \(-0.321983\pi\)
−0.293171 + 0.956060i \(0.594710\pi\)
\(128\) −11.1986 1.61011i −0.0874887 0.0125790i
\(129\) 82.8250 + 128.878i 0.642054 + 0.999056i
\(130\) −31.0240 + 3.70941i −0.238646 + 0.0285339i
\(131\) −16.9484 117.879i −0.129377 0.899839i −0.946346 0.323156i \(-0.895256\pi\)
0.816968 0.576682i \(-0.195653\pi\)
\(132\) −38.3577 44.2672i −0.290589 0.335358i
\(133\) −1.85490 + 2.88629i −0.0139466 + 0.0217014i
\(134\) 105.812 + 91.6867i 0.789642 + 0.684229i
\(135\) −93.1972 112.874i −0.690350 0.836107i
\(136\) −83.3191 + 38.0506i −0.612640 + 0.279783i
\(137\) 57.5629 0.420167 0.210084 0.977683i \(-0.432626\pi\)
0.210084 + 0.977683i \(0.432626\pi\)
\(138\) 61.3249 57.0644i 0.444384 0.413510i
\(139\) 7.72508 0.0555761 0.0277880 0.999614i \(-0.491154\pi\)
0.0277880 + 0.999614i \(0.491154\pi\)
\(140\) −5.32877 4.84416i −0.0380626 0.0346011i
\(141\) −29.3077 + 8.60552i −0.207856 + 0.0610320i
\(142\) 31.0028 + 26.8641i 0.218330 + 0.189184i
\(143\) −42.2727 27.1670i −0.295613 0.189979i
\(144\) −6.20177 7.15722i −0.0430678 0.0497029i
\(145\) 97.6087 + 160.137i 0.673164 + 1.10439i
\(146\) 97.0356 + 28.4922i 0.664628 + 0.195152i
\(147\) −67.5024 105.036i −0.459200 0.714530i
\(148\) 6.61352 45.9981i 0.0446860 0.310798i
\(149\) −101.155 46.1961i −0.678895 0.310041i 0.0459591 0.998943i \(-0.485366\pi\)
−0.724854 + 0.688902i \(0.758093\pi\)
\(150\) −33.8409 84.5299i −0.225606 0.563533i
\(151\) −27.6519 + 192.323i −0.183125 + 1.27366i 0.666191 + 0.745781i \(0.267923\pi\)
−0.849317 + 0.527884i \(0.822986\pi\)
\(152\) −11.3360 + 7.28523i −0.0745792 + 0.0479291i
\(153\) −73.5669 21.6012i −0.480829 0.141184i
\(154\) −1.64826 11.4639i −0.0107030 0.0744411i
\(155\) −150.993 73.3477i −0.974150 0.473211i
\(156\) 19.1464 + 12.3046i 0.122733 + 0.0788759i
\(157\) 77.6685 89.6343i 0.494704 0.570919i −0.452412 0.891809i \(-0.649436\pi\)
0.947117 + 0.320890i \(0.103982\pi\)
\(158\) −145.968 + 42.8599i −0.923845 + 0.271265i
\(159\) 162.152 74.0523i 1.01982 0.465738i
\(160\) −11.1341 26.0006i −0.0695884 0.162504i
\(161\) 16.3011 2.93645i 0.101249 0.0182388i
\(162\) 76.4894i 0.472157i
\(163\) 291.498 133.123i 1.78833 0.816703i 0.817886 0.575381i \(-0.195146\pi\)
0.970445 0.241323i \(-0.0775812\pi\)
\(164\) 116.972 34.3462i 0.713247 0.209428i
\(165\) 44.5872 139.482i 0.270226 0.845343i
\(166\) −12.1238 + 18.8649i −0.0730347 + 0.113644i
\(167\) 148.473 128.653i 0.889062 0.770376i −0.0850659 0.996375i \(-0.527110\pi\)
0.974128 + 0.225999i \(0.0725646\pi\)
\(168\) 0.746541 + 5.19231i 0.00444370 + 0.0309066i
\(169\) −143.420 42.1120i −0.848641 0.249183i
\(170\) −189.639 128.351i −1.11552 0.755006i
\(171\) −11.1648 1.60526i −0.0652915 0.00938750i
\(172\) −49.4230 + 108.221i −0.287343 + 0.629193i
\(173\) −79.3044 36.2171i −0.458407 0.209347i 0.172808 0.984956i \(-0.444716\pi\)
−0.631215 + 0.775608i \(0.717443\pi\)
\(174\) 19.4413 135.217i 0.111731 0.777109i
\(175\) 3.40719 17.6784i 0.0194696 0.101019i
\(176\) 12.8155 43.6456i 0.0728153 0.247986i
\(177\) −37.0215 + 5.32288i −0.209161 + 0.0300728i
\(178\) −47.5389 54.8628i −0.267072 0.308218i
\(179\) −249.174 160.134i −1.39203 0.894604i −0.392349 0.919816i \(-0.628338\pi\)
−0.999682 + 0.0252119i \(0.991974\pi\)
\(180\) 7.20896 22.5517i 0.0400498 0.125287i
\(181\) 19.1427 + 65.1940i 0.105761 + 0.360188i 0.995320 0.0966313i \(-0.0308068\pi\)
−0.889560 + 0.456819i \(0.848989\pi\)
\(182\) 1.86945 + 4.09353i 0.0102717 + 0.0224919i
\(183\) 163.262 0.892144
\(184\) 63.0287 + 16.1054i 0.342547 + 0.0875294i
\(185\) 106.797 45.7335i 0.577284 0.247208i
\(186\) 50.7954 + 111.226i 0.273094 + 0.597991i
\(187\) −103.755 353.357i −0.554840 1.88961i
\(188\) −17.9272 15.5340i −0.0953574 0.0826276i
\(189\) −11.3982 + 17.7359i −0.0603079 + 0.0938409i
\(190\) −30.3019 14.7197i −0.159484 0.0774722i
\(191\) −101.525 + 14.5970i −0.531542 + 0.0764243i −0.402860 0.915262i \(-0.631984\pi\)
−0.128682 + 0.991686i \(0.541075\pi\)
\(192\) −5.80447 + 19.7682i −0.0302316 + 0.102959i
\(193\) 92.2602 + 143.560i 0.478032 + 0.743832i 0.993593 0.113021i \(-0.0360527\pi\)
−0.515561 + 0.856853i \(0.672416\pi\)
\(194\) −26.8301 3.85758i −0.138299 0.0198844i
\(195\) −1.35398 + 56.8823i −0.00694347 + 0.291704i
\(196\) 40.2798 88.2004i 0.205509 0.450002i
\(197\) −76.0048 10.9278i −0.385811 0.0554712i −0.0533195 0.998578i \(-0.516980\pi\)
−0.332491 + 0.943106i \(0.607889\pi\)
\(198\) 32.0322 20.5858i 0.161779 0.103969i
\(199\) −64.2222 + 218.721i −0.322724 + 1.09910i 0.625163 + 0.780494i \(0.285032\pi\)
−0.947888 + 0.318605i \(0.896786\pi\)
\(200\) 41.0161 57.5993i 0.205080 0.287997i
\(201\) 192.688 166.966i 0.958649 0.830674i
\(202\) −95.1383 + 148.038i −0.470981 + 0.732861i
\(203\) 17.6887 20.4138i 0.0871364 0.100561i
\(204\) 46.9934 + 160.045i 0.230360 + 0.784533i
\(205\) 225.520 + 205.011i 1.10010 + 1.00005i
\(206\) 152.471i 0.740151i
\(207\) 31.0445 + 44.7386i 0.149973 + 0.216128i
\(208\) 17.6748i 0.0849750i
\(209\) −22.5066 49.2826i −0.107687 0.235802i
\(210\) −10.1127 + 8.34973i −0.0481555 + 0.0397606i
\(211\) 25.7910 29.7645i 0.122232 0.141064i −0.691335 0.722534i \(-0.742977\pi\)
0.813567 + 0.581471i \(0.197523\pi\)
\(212\) 116.460 + 74.8445i 0.549341 + 0.353040i
\(213\) 56.4576 48.9208i 0.265059 0.229675i
\(214\) −91.1845 + 13.1104i −0.426096 + 0.0612633i
\(215\) −295.328 + 35.3112i −1.37362 + 0.164238i
\(216\) −69.6588 + 44.7670i −0.322494 + 0.207255i
\(217\) −3.44084 + 23.9316i −0.0158564 + 0.110284i
\(218\) 106.357 232.888i 0.487874 1.06830i
\(219\) 76.5054 167.524i 0.349340 0.764948i
\(220\) 109.845 29.4331i 0.499297 0.133787i
\(221\) 77.3637 + 120.380i 0.350062 + 0.544707i
\(222\) −81.1980 23.8419i −0.365757 0.107396i
\(223\) 75.8735 10.9090i 0.340240 0.0489191i 0.0299229 0.999552i \(-0.490474\pi\)
0.310317 + 0.950633i \(0.399565\pi\)
\(224\) −3.07876 + 2.66776i −0.0137445 + 0.0119096i
\(225\) 57.5213 13.9547i 0.255650 0.0620207i
\(226\) −171.543 148.643i −0.759039 0.657711i
\(227\) −208.782 + 61.3038i −0.919743 + 0.270061i −0.707137 0.707077i \(-0.750013\pi\)
−0.212606 + 0.977138i \(0.568195\pi\)
\(228\) 10.1938 + 22.3214i 0.0447098 + 0.0979007i
\(229\) 51.8837i 0.226567i −0.993563 0.113283i \(-0.963863\pi\)
0.993563 0.113283i \(-0.0361368\pi\)
\(230\) 47.6310 + 155.503i 0.207091 + 0.676102i
\(231\) −21.0910 −0.0913030
\(232\) 96.5016 44.0708i 0.415955 0.189960i
\(233\) −45.5271 155.051i −0.195395 0.665456i −0.997653 0.0684772i \(-0.978186\pi\)
0.802257 0.596978i \(-0.203632\pi\)
\(234\) −9.68869 + 11.1813i −0.0414047 + 0.0477835i
\(235\) 9.83409 58.4816i 0.0418472 0.248858i
\(236\) −19.0213 21.9517i −0.0805987 0.0930159i
\(237\) 39.4262 + 274.215i 0.166355 + 1.15703i
\(238\) −9.29199 + 31.6456i −0.0390420 + 0.132965i
\(239\) −199.610 + 128.282i −0.835190 + 0.536744i −0.886923 0.461917i \(-0.847162\pi\)
0.0517331 + 0.998661i \(0.483525\pi\)
\(240\) −49.7519 + 13.3310i −0.207299 + 0.0555460i
\(241\) −45.7148 20.8772i −0.189688 0.0866275i 0.318307 0.947988i \(-0.396886\pi\)
−0.507995 + 0.861360i \(0.669613\pi\)
\(242\) 10.7072 + 4.88982i 0.0442447 + 0.0202059i
\(243\) −122.925 17.6739i −0.505863 0.0727320i
\(244\) 68.5471 + 106.661i 0.280931 + 0.437137i
\(245\) 240.693 28.7786i 0.982419 0.117464i
\(246\) −31.5946 219.745i −0.128433 0.893273i
\(247\) 13.7858 + 15.9097i 0.0558131 + 0.0644117i
\(248\) −51.3387 + 79.8847i −0.207011 + 0.322116i
\(249\) 30.8622 + 26.7423i 0.123945 + 0.107399i
\(250\) 176.326 + 12.6104i 0.705305 + 0.0504417i
\(251\) 340.587 155.541i 1.35692 0.619685i 0.401752 0.915748i \(-0.368401\pi\)
0.955168 + 0.296064i \(0.0956740\pi\)
\(252\) −3.41004 −0.0135319
\(253\) −100.159 + 241.620i −0.395887 + 0.955019i
\(254\) 46.8713 0.184533
\(255\) −280.501 + 308.563i −1.10000 + 1.21005i
\(256\) −15.3519 + 4.50772i −0.0599683 + 0.0176083i
\(257\) −106.843 92.5796i −0.415730 0.360232i 0.421739 0.906717i \(-0.361420\pi\)
−0.837469 + 0.546485i \(0.815965\pi\)
\(258\) 182.261 + 117.132i 0.706439 + 0.454001i
\(259\) −10.9578 12.6460i −0.0423082 0.0488263i
\(260\) −37.7304 + 22.9980i −0.145117 + 0.0884537i
\(261\) 85.2064 + 25.0189i 0.326461 + 0.0958577i
\(262\) −91.0548 141.684i −0.347537 0.540779i
\(263\) −32.8257 + 228.308i −0.124813 + 0.868091i 0.827173 + 0.561948i \(0.189948\pi\)
−0.951985 + 0.306144i \(0.900961\pi\)
\(264\) −75.3503 34.4113i −0.285418 0.130346i
\(265\) −8.23573 + 345.993i −0.0310782 + 1.30564i
\(266\) −0.690522 + 4.80269i −0.00259595 + 0.0180552i
\(267\) −111.211 + 71.4710i −0.416521 + 0.267682i
\(268\) 189.983 + 55.7839i 0.708891 + 0.208149i
\(269\) −30.6993 213.519i −0.114124 0.793750i −0.963835 0.266501i \(-0.914133\pi\)
0.849711 0.527249i \(-0.176777\pi\)
\(270\) −186.202 90.4512i −0.689638 0.335004i
\(271\) −153.740 98.8024i −0.567305 0.364585i 0.225329 0.974283i \(-0.427654\pi\)
−0.792634 + 0.609698i \(0.791291\pi\)
\(272\) −84.8287 + 97.8975i −0.311870 + 0.359917i
\(273\) 7.86312 2.30882i 0.0288026 0.00845722i
\(274\) 74.0497 33.8174i 0.270255 0.123421i
\(275\) 205.759 + 196.190i 0.748214 + 0.713417i
\(276\) 45.3648 109.436i 0.164365 0.396507i
\(277\) 82.3961i 0.297459i 0.988878 + 0.148729i \(0.0475183\pi\)
−0.988878 + 0.148729i \(0.952482\pi\)
\(278\) 9.93765 4.53837i 0.0357469 0.0163251i
\(279\) −76.2676 + 22.3942i −0.273360 + 0.0802659i
\(280\) −9.70087 3.10102i −0.0346460 0.0110751i
\(281\) −72.3343 + 112.554i −0.257417 + 0.400549i −0.945775 0.324822i \(-0.894696\pi\)
0.688358 + 0.725371i \(0.258332\pi\)
\(282\) −32.6462 + 28.2881i −0.115767 + 0.100312i
\(283\) 43.6870 + 303.850i 0.154371 + 1.07367i 0.908782 + 0.417271i \(0.137013\pi\)
−0.754411 + 0.656402i \(0.772077\pi\)
\(284\) 55.6648 + 16.3447i 0.196003 + 0.0575516i
\(285\) −34.3855 + 50.8047i −0.120651 + 0.178262i
\(286\) −70.3404 10.1134i −0.245945 0.0353616i
\(287\) 18.2355 39.9301i 0.0635382 0.139129i
\(288\) −12.1828 5.56370i −0.0423014 0.0193184i
\(289\) −108.122 + 752.006i −0.374125 + 2.60210i
\(290\) 219.643 + 148.658i 0.757390 + 0.512615i
\(291\) −13.9066 + 47.3617i −0.0477892 + 0.162755i
\(292\) 141.567 20.3542i 0.484818 0.0697063i
\(293\) 59.8319 + 69.0496i 0.204204 + 0.235664i 0.848609 0.529020i \(-0.177440\pi\)
−0.644405 + 0.764684i \(0.722895\pi\)
\(294\) −148.543 95.4629i −0.505249 0.324704i
\(295\) 22.1104 69.1678i 0.0749507 0.234467i
\(296\) −18.5155 63.0579i −0.0625523 0.213033i
\(297\) −138.301 302.836i −0.465659 1.01965i
\(298\) −157.267 −0.527742
\(299\) 10.8913 101.045i 0.0364257 0.337943i
\(300\) −93.1935 88.8594i −0.310645 0.296198i
\(301\) 17.7960 + 38.9678i 0.0591229 + 0.129461i
\(302\) 77.4154 + 263.652i 0.256342 + 0.873021i
\(303\) 242.184 + 209.853i 0.799286 + 0.692585i
\(304\) −10.3029 + 16.0316i −0.0338910 + 0.0527355i
\(305\) −138.499 + 285.113i −0.454094 + 0.934795i
\(306\) −107.328 + 15.4314i −0.350744 + 0.0504294i
\(307\) 46.4603 158.229i 0.151336 0.515405i −0.848570 0.529083i \(-0.822536\pi\)
0.999906 + 0.0136785i \(0.00435413\pi\)
\(308\) −8.85524 13.7790i −0.0287508 0.0447371i
\(309\) 274.830 + 39.5147i 0.889419 + 0.127879i
\(310\) −237.330 5.64921i −0.765582 0.0182233i
\(311\) 203.974 446.641i 0.655866 1.43615i −0.230459 0.973082i \(-0.574023\pi\)
0.886325 0.463064i \(-0.153250\pi\)
\(312\) 31.8590 + 4.58063i 0.102112 + 0.0146815i
\(313\) −432.496 + 277.948i −1.38178 + 0.888013i −0.999353 0.0359741i \(-0.988547\pi\)
−0.382423 + 0.923987i \(0.624910\pi\)
\(314\) 47.2551 160.936i 0.150494 0.512535i
\(315\) −4.43705 7.27942i −0.0140859 0.0231093i
\(316\) −162.595 + 140.889i −0.514541 + 0.445853i
\(317\) 5.97811 9.30212i 0.0188584 0.0293442i −0.831696 0.555231i \(-0.812630\pi\)
0.850555 + 0.525886i \(0.176266\pi\)
\(318\) 165.090 190.524i 0.519150 0.599132i
\(319\) 120.171 + 409.264i 0.376711 + 1.28296i
\(320\) −29.5981 26.9064i −0.0924940 0.0840824i
\(321\) 167.759i 0.522613i
\(322\) 19.2448 13.3541i 0.0597665 0.0414725i
\(323\) 154.285i 0.477662i
\(324\) 44.9364 + 98.3971i 0.138693 + 0.303695i
\(325\) −98.1876 50.6189i −0.302116 0.155750i
\(326\) 296.779 342.502i 0.910366 1.05062i
\(327\) −392.220 252.065i −1.19945 0.770839i
\(328\) 130.297 112.903i 0.397247 0.344217i
\(329\) −8.45443 + 1.21556i −0.0256973 + 0.00369472i
\(330\) −24.5858 205.625i −0.0745024 0.623107i
\(331\) 5.23640 3.36523i 0.0158199 0.0101668i −0.532707 0.846300i \(-0.678825\pi\)
0.548527 + 0.836133i \(0.315189\pi\)
\(332\) −4.51329 + 31.3907i −0.0135943 + 0.0945502i
\(333\) 22.8529 50.0409i 0.0686274 0.150273i
\(334\) 115.416 252.727i 0.345558 0.756667i
\(335\) 128.118 + 478.141i 0.382442 + 1.42729i
\(336\) 4.01077 + 6.24088i 0.0119368 + 0.0185740i
\(337\) 362.845 + 106.541i 1.07669 + 0.316145i 0.771554 0.636164i \(-0.219480\pi\)
0.305136 + 0.952309i \(0.401298\pi\)
\(338\) −209.238 + 30.0839i −0.619047 + 0.0890056i
\(339\) −312.387 + 270.685i −0.921496 + 0.798481i
\(340\) −319.359 53.7024i −0.939290 0.157948i
\(341\) −288.541 250.022i −0.846162 0.733203i
\(342\) −15.3057 + 4.49415i −0.0447535 + 0.0131408i
\(343\) −29.1626 63.8573i −0.0850223 0.186173i
\(344\) 168.253i 0.489106i
\(345\) 292.640 45.5547i 0.848233 0.132043i
\(346\) −123.295 −0.356345
\(347\) 24.7668 11.3106i 0.0713740 0.0325954i −0.379408 0.925229i \(-0.623872\pi\)
0.450782 + 0.892634i \(0.351145\pi\)
\(348\) −54.4285 185.367i −0.156404 0.532662i
\(349\) 196.550 226.831i 0.563181 0.649946i −0.400722 0.916200i \(-0.631241\pi\)
0.963903 + 0.266254i \(0.0857860\pi\)
\(350\) −6.00276 24.7434i −0.0171507 0.0706955i
\(351\) 84.7125 + 97.7635i 0.241346 + 0.278528i
\(352\) −9.15511 63.6752i −0.0260088 0.180895i
\(353\) 186.500 635.159i 0.528327 1.79932i −0.0693640 0.997591i \(-0.522097\pi\)
0.597691 0.801726i \(-0.296085\pi\)
\(354\) −44.4978 + 28.5970i −0.125700 + 0.0807825i
\(355\) 37.5385 + 140.095i 0.105742 + 0.394633i
\(356\) −93.3858 42.6479i −0.262320 0.119797i
\(357\) 54.6334 + 24.9502i 0.153035 + 0.0698886i
\(358\) −414.617 59.6129i −1.15815 0.166517i
\(359\) −235.017 365.693i −0.654643 1.01864i −0.996872 0.0790277i \(-0.974818\pi\)
0.342230 0.939616i \(-0.388818\pi\)
\(360\) −3.97509 33.2460i −0.0110419 0.0923500i
\(361\) −48.1455 334.859i −0.133367 0.927587i
\(362\) 62.9260 + 72.6204i 0.173829 + 0.200609i
\(363\) 11.5888 18.0326i 0.0319252 0.0496766i
\(364\) 4.80978 + 4.16770i 0.0132137 + 0.0114497i
\(365\) 227.653 + 275.718i 0.623707 + 0.755393i
\(366\) 210.023 95.9143i 0.573833 0.262061i
\(367\) 164.913 0.449354 0.224677 0.974433i \(-0.427867\pi\)
0.224677 + 0.974433i \(0.427867\pi\)
\(368\) 90.5427 16.3102i 0.246040 0.0443213i
\(369\) 144.317 0.391104
\(370\) 110.518 121.574i 0.298697 0.328579i
\(371\) 47.8284 14.0437i 0.128917 0.0378536i
\(372\) 130.688 + 113.242i 0.351311 + 0.304413i
\(373\) −452.236 290.634i −1.21243 0.779181i −0.231365 0.972867i \(-0.574319\pi\)
−0.981063 + 0.193687i \(0.937956\pi\)
\(374\) −341.064 393.609i −0.911936 1.05243i
\(375\) 68.4274 314.562i 0.182473 0.838831i
\(376\) −32.1878 9.45118i −0.0856058 0.0251361i
\(377\) −89.6040 139.426i −0.237676 0.369832i
\(378\) −4.24319 + 29.5120i −0.0112254 + 0.0780741i
\(379\) 108.561 + 49.5784i 0.286442 + 0.130814i 0.553454 0.832879i \(-0.313309\pi\)
−0.267013 + 0.963693i \(0.586037\pi\)
\(380\) −47.6284 1.13371i −0.125338 0.00298344i
\(381\) 12.1472 84.4859i 0.0318825 0.221748i
\(382\) −122.027 + 78.4221i −0.319443 + 0.205293i
\(383\) 22.8007 + 6.69489i 0.0595319 + 0.0174801i 0.311363 0.950291i \(-0.399215\pi\)
−0.251831 + 0.967771i \(0.581033\pi\)
\(384\) 4.14659 + 28.8401i 0.0107984 + 0.0751046i
\(385\) 17.8919 36.8322i 0.0464725 0.0956680i
\(386\) 203.024 + 130.476i 0.525969 + 0.338020i
\(387\) −92.2300 + 106.439i −0.238321 + 0.275037i
\(388\) −36.7808 + 10.7998i −0.0947960 + 0.0278346i
\(389\) 558.212 254.927i 1.43499 0.655339i 0.462148 0.886803i \(-0.347079\pi\)
0.972843 + 0.231464i \(0.0743515\pi\)
\(390\) 31.6758 + 73.9696i 0.0812199 + 0.189666i
\(391\) 545.281 507.397i 1.39458 1.29769i
\(392\) 137.126i 0.349811i
\(393\) −278.985 + 127.408i −0.709885 + 0.324194i
\(394\) −104.194 + 30.5940i −0.264451 + 0.0776497i
\(395\) −512.321 163.770i −1.29702 0.414609i
\(396\) 29.1128 45.3004i 0.0735171 0.114395i
\(397\) 285.388 247.290i 0.718861 0.622897i −0.216627 0.976254i \(-0.569506\pi\)
0.935488 + 0.353358i \(0.114960\pi\)
\(398\) 45.8789 + 319.095i 0.115274 + 0.801746i
\(399\) 8.47793 + 2.48935i 0.0212480 + 0.00623896i
\(400\) 18.9249 98.1929i 0.0473122 0.245482i
\(401\) −697.167 100.238i −1.73857 0.249969i −0.801224 0.598364i \(-0.795818\pi\)
−0.937348 + 0.348395i \(0.886727\pi\)
\(402\) 149.787 327.988i 0.372605 0.815892i
\(403\) 134.943 + 61.6266i 0.334847 + 0.152920i
\(404\) −35.4170 + 246.331i −0.0876658 + 0.609729i
\(405\) −151.578 + 223.957i −0.374268 + 0.552981i
\(406\) 10.7621 36.6525i 0.0265078 0.0902771i
\(407\) 261.546 37.6046i 0.642619 0.0923947i
\(408\) 154.477 + 178.276i 0.378620 + 0.436950i
\(409\) 5.78746 + 3.71937i 0.0141503 + 0.00909383i 0.547697 0.836677i \(-0.315505\pi\)
−0.533547 + 0.845771i \(0.679141\pi\)
\(410\) 410.553 + 131.239i 1.00135 + 0.320095i
\(411\) −41.7653 142.240i −0.101619 0.346082i
\(412\) 89.5745 + 196.141i 0.217414 + 0.476070i
\(413\) −10.4589 −0.0253241
\(414\) 66.2193 + 39.3141i 0.159950 + 0.0949617i
\(415\) −72.8823 + 31.2101i −0.175620 + 0.0752051i
\(416\) 10.3837 + 22.7371i 0.0249608 + 0.0546565i
\(417\) −5.60500 19.0889i −0.0134412 0.0457767i
\(418\) −57.9056 50.1755i −0.138530 0.120037i
\(419\) 70.4414 109.609i 0.168118 0.261597i −0.746964 0.664864i \(-0.768489\pi\)
0.915082 + 0.403268i \(0.132126\pi\)
\(420\) −8.10371 + 16.6822i −0.0192945 + 0.0397196i
\(421\) 658.928 94.7395i 1.56515 0.225035i 0.695435 0.718589i \(-0.255212\pi\)
0.869715 + 0.493555i \(0.164303\pi\)
\(422\) 15.6918 53.4413i 0.0371843 0.126638i
\(423\) −15.1817 23.6231i −0.0358905 0.0558467i
\(424\) 193.786 + 27.8622i 0.457043 + 0.0657128i
\(425\) −300.902 751.612i −0.708005 1.76850i
\(426\) 43.8876 96.1004i 0.103022 0.225588i
\(427\) 45.1888 + 6.49716i 0.105828 + 0.0152158i
\(428\) −109.599 + 70.4349i −0.256072 + 0.164568i
\(429\) −36.4591 + 124.168i −0.0849862 + 0.289436i
\(430\) −359.169 + 218.926i −0.835277 + 0.509129i
\(431\) 348.416 301.905i 0.808391 0.700475i −0.149137 0.988817i \(-0.547649\pi\)
0.957527 + 0.288342i \(0.0931040\pi\)
\(432\) −63.3101 + 98.5124i −0.146551 + 0.228038i
\(433\) −355.620 + 410.407i −0.821294 + 0.947823i −0.999345 0.0361980i \(-0.988475\pi\)
0.178051 + 0.984021i \(0.443021\pi\)
\(434\) 9.63311 + 32.8074i 0.0221961 + 0.0755930i
\(435\) 324.881 357.382i 0.746854 0.821569i
\(436\) 362.074i 0.830445i
\(437\) 68.7791 85.3020i 0.157389 0.195199i
\(438\) 260.450i 0.594636i
\(439\) 264.729 + 579.675i 0.603027 + 1.32044i 0.927243 + 0.374461i \(0.122172\pi\)
−0.324216 + 0.945983i \(0.605100\pi\)
\(440\) 124.015 102.396i 0.281853 0.232718i
\(441\) 75.1676 86.7480i 0.170448 0.196707i
\(442\) 170.243 + 109.409i 0.385166 + 0.247531i
\(443\) −45.1754 + 39.1447i −0.101976 + 0.0883627i −0.704357 0.709846i \(-0.748764\pi\)
0.602381 + 0.798209i \(0.294219\pi\)
\(444\) −118.461 + 17.0321i −0.266804 + 0.0383606i
\(445\) −30.4706 254.843i −0.0684732 0.572681i
\(446\) 91.1959 58.6080i 0.204475 0.131408i
\(447\) −40.7576 + 283.476i −0.0911804 + 0.634174i
\(448\) −2.39329 + 5.24057i −0.00534216 + 0.0116977i
\(449\) −9.79098 + 21.4393i −0.0218062 + 0.0477489i −0.920222 0.391397i \(-0.871992\pi\)
0.898416 + 0.439146i \(0.144719\pi\)
\(450\) 65.7980 51.7444i 0.146218 0.114988i
\(451\) 374.765 + 583.146i 0.830965 + 1.29301i
\(452\) −308.001 90.4371i −0.681417 0.200082i
\(453\) 495.299 71.2133i 1.09338 0.157204i
\(454\) −232.565 + 201.518i −0.512257 + 0.443873i
\(455\) −2.63844 + 15.6903i −0.00579877 + 0.0344843i
\(456\) 26.2270 + 22.7258i 0.0575153 + 0.0498373i
\(457\) 225.934 66.3403i 0.494386 0.145165i −0.0250294 0.999687i \(-0.507968\pi\)
0.519415 + 0.854522i \(0.326150\pi\)
\(458\) −30.4809 66.7440i −0.0665523 0.145729i
\(459\) 948.064i 2.06550i
\(460\) 152.629 + 172.059i 0.331802 + 0.374042i
\(461\) 285.538 0.619389 0.309694 0.950836i \(-0.399773\pi\)
0.309694 + 0.950836i \(0.399773\pi\)
\(462\) −27.1318 + 12.3907i −0.0587267 + 0.0268196i
\(463\) 121.568 + 414.023i 0.262566 + 0.894218i 0.980236 + 0.197834i \(0.0633907\pi\)
−0.717669 + 0.696384i \(0.754791\pi\)
\(464\) 98.2500 113.387i 0.211746 0.244368i
\(465\) −71.6897 + 426.326i −0.154171 + 0.916831i
\(466\) −149.657 172.713i −0.321152 0.370630i
\(467\) −31.2607 217.423i −0.0669394 0.465574i −0.995528 0.0944636i \(-0.969886\pi\)
0.928589 0.371110i \(-0.121023\pi\)
\(468\) −5.89479 + 20.0758i −0.0125957 + 0.0428970i
\(469\) 59.9780 38.5455i 0.127885 0.0821866i
\(470\) −21.7064 81.0089i −0.0461838 0.172359i
\(471\) −277.842 126.886i −0.589898 0.269397i
\(472\) −37.3656 17.0643i −0.0791644 0.0361532i
\(473\) −669.595 96.2732i −1.41563 0.203537i
\(474\) 211.816 + 329.592i 0.446869 + 0.695342i
\(475\) −59.5527 103.148i −0.125374 0.217153i
\(476\) 6.63800 + 46.1683i 0.0139454 + 0.0969922i
\(477\) 107.319 + 123.853i 0.224987 + 0.259649i
\(478\) −181.418 + 282.292i −0.379535 + 0.590569i
\(479\) −539.089 467.124i −1.12545 0.975206i −0.125590 0.992082i \(-0.540082\pi\)
−0.999858 + 0.0168764i \(0.994628\pi\)
\(480\) −56.1697 + 46.3777i −0.117020 + 0.0966203i
\(481\) −93.3927 + 42.6510i −0.194164 + 0.0886716i
\(482\) −71.0732 −0.147455
\(483\) −19.0835 38.1498i −0.0395103 0.0789852i
\(484\) 16.6466 0.0343938
\(485\) −70.9126 64.4637i −0.146212 0.132915i
\(486\) −168.515 + 49.4805i −0.346739 + 0.101812i
\(487\) −452.971 392.502i −0.930126 0.805959i 0.0511251 0.998692i \(-0.483719\pi\)
−0.981251 + 0.192733i \(0.938265\pi\)
\(488\) 150.842 + 96.9403i 0.309102 + 0.198648i
\(489\) −540.449 623.711i −1.10521 1.27548i
\(490\) 292.723 178.425i 0.597394 0.364132i
\(491\) −179.864 52.8127i −0.366321 0.107562i 0.0933912 0.995629i \(-0.470229\pi\)
−0.459712 + 0.888068i \(0.652047\pi\)
\(492\) −169.741 264.122i −0.345002 0.536833i
\(493\) 172.865 1202.30i 0.350640 2.43875i
\(494\) 27.0810 + 12.3675i 0.0548198 + 0.0250354i
\(495\) 134.584 + 3.20351i 0.271886 + 0.00647174i
\(496\) −19.1118 + 132.926i −0.0385319 + 0.267995i
\(497\) 17.5735 11.2938i 0.0353592 0.0227240i
\(498\) 55.4123 + 16.2705i 0.111270 + 0.0326717i
\(499\) −104.515 726.921i −0.209450 1.45676i −0.774958 0.632013i \(-0.782229\pi\)
0.565508 0.824743i \(-0.308680\pi\)
\(500\) 234.237 87.3670i 0.468474 0.174734i
\(501\) −425.631 273.536i −0.849562 0.545981i
\(502\) 346.758 400.180i 0.690753 0.797171i
\(503\) 199.495 58.5771i 0.396611 0.116456i −0.0773441 0.997004i \(-0.524644\pi\)
0.473955 + 0.880549i \(0.342826\pi\)
\(504\) −4.38672 + 2.00335i −0.00870382 + 0.00397490i
\(505\) −571.926 + 244.914i −1.13253 + 0.484978i
\(506\) 13.1018 + 369.665i 0.0258929 + 0.730564i
\(507\) 384.950i 0.759270i
\(508\) 60.2958 27.5362i 0.118693 0.0542051i
\(509\) −234.215 + 68.7717i −0.460147 + 0.135111i −0.503587 0.863945i \(-0.667987\pi\)
0.0434395 + 0.999056i \(0.486168\pi\)
\(510\) −179.565 + 561.729i −0.352087 + 1.10143i
\(511\) 27.8424 43.3236i 0.0544861 0.0847820i
\(512\) −17.1007 + 14.8178i −0.0333997 + 0.0289410i
\(513\) 19.8492 + 138.054i 0.0386925 + 0.269112i
\(514\) −191.833 56.3272i −0.373216 0.109586i
\(515\) −302.150 + 446.428i −0.586700 + 0.866850i
\(516\) 303.277 + 43.6046i 0.587746 + 0.0845051i
\(517\) 56.0305 122.690i 0.108376 0.237311i
\(518\) −21.5257 9.83044i −0.0415553 0.0189777i
\(519\) −31.9534 + 222.241i −0.0615673 + 0.428210i
\(520\) −35.0260 + 51.7510i −0.0673576 + 0.0995211i
\(521\) −230.596 + 785.339i −0.442603 + 1.50737i 0.372489 + 0.928037i \(0.378504\pi\)
−0.815092 + 0.579331i \(0.803314\pi\)
\(522\) 124.309 17.8729i 0.238140 0.0342393i
\(523\) 31.7125 + 36.5982i 0.0606358 + 0.0699774i 0.785257 0.619170i \(-0.212531\pi\)
−0.724621 + 0.689147i \(0.757985\pi\)
\(524\) −200.372 128.771i −0.382388 0.245746i
\(525\) −46.1559 + 4.40748i −0.0879161 + 0.00839520i
\(526\) 91.9002 + 312.983i 0.174715 + 0.595025i
\(527\) 451.656 + 988.988i 0.857032 + 1.87664i
\(528\) −117.148 −0.221871
\(529\) −527.673 + 37.4510i −0.997491 + 0.0707958i
\(530\) 192.672 + 449.929i 0.363531 + 0.848923i
\(531\) −14.2840 31.2776i −0.0269002 0.0589032i
\(532\) 1.93321 + 6.58392i 0.00363386 + 0.0123758i
\(533\) −203.556 176.382i −0.381907 0.330924i
\(534\) −101.075 + 157.276i −0.189279 + 0.294525i
\(535\) −292.965 142.313i −0.547597 0.266005i
\(536\) 277.169 39.8508i 0.517106 0.0743486i
\(537\) −214.906 + 731.902i −0.400197 + 1.36295i
\(538\) −164.931 256.638i −0.306564 0.477022i
\(539\) 545.720 + 78.4628i 1.01247 + 0.145571i
\(540\) −292.672 6.96651i −0.541985 0.0129009i
\(541\) 300.833 658.733i 0.556069 1.21762i −0.397820 0.917463i \(-0.630233\pi\)
0.953889 0.300158i \(-0.0970396\pi\)
\(542\) −255.818 36.7810i −0.471988 0.0678617i
\(543\) 147.207 94.6042i 0.271099 0.174225i
\(544\) −51.6114 + 175.772i −0.0948739 + 0.323111i
\(545\) 772.920 471.121i 1.41820 0.864441i
\(546\) 8.75883 7.58957i 0.0160418 0.0139003i
\(547\) −71.7815 + 111.694i −0.131228 + 0.204194i −0.900649 0.434547i \(-0.856908\pi\)
0.769421 + 0.638742i \(0.220545\pi\)
\(548\) 75.3914 87.0063i 0.137576 0.158771i
\(549\) 42.2858 + 144.012i 0.0770232 + 0.262317i
\(550\) 379.950 + 131.501i 0.690817 + 0.239092i
\(551\) 178.695i 0.324311i
\(552\) −5.93415 167.431i −0.0107503 0.303317i
\(553\) 77.4680i 0.140087i
\(554\) 48.4065 + 105.995i 0.0873764 + 0.191328i
\(555\) −190.497 230.717i −0.343237 0.415706i
\(556\) 10.1177 11.6764i 0.0181973 0.0210008i
\(557\) 298.274 + 191.689i 0.535501 + 0.344146i 0.780277 0.625434i \(-0.215078\pi\)
−0.244776 + 0.969580i \(0.578714\pi\)
\(558\) −84.9554 + 73.6143i −0.152250 + 0.131925i
\(559\) 260.177 37.4078i 0.465432 0.0669191i
\(560\) −14.3011 + 1.70993i −0.0255378 + 0.00305345i
\(561\) −797.875 + 512.763i −1.42224 + 0.914016i
\(562\) −26.9278 + 187.287i −0.0479142 + 0.333251i
\(563\) −71.7752 + 157.166i −0.127487 + 0.279158i −0.962603 0.270916i \(-0.912673\pi\)
0.835116 + 0.550074i \(0.185401\pi\)
\(564\) −25.3777 + 55.5694i −0.0449959 + 0.0985273i
\(565\) −207.705 775.163i −0.367620 1.37197i
\(566\) 234.707 + 365.211i 0.414676 + 0.645249i
\(567\) 37.3724 + 10.9735i 0.0659126 + 0.0193537i
\(568\) 81.2102 11.6763i 0.142976 0.0205568i
\(569\) −698.543 + 605.291i −1.22767 + 1.06378i −0.231819 + 0.972759i \(0.574468\pi\)
−0.995849 + 0.0910211i \(0.970987\pi\)
\(570\) −14.3870 + 85.5569i −0.0252403 + 0.150100i
\(571\) −584.525 506.494i −1.02369 0.887030i −0.0300378 0.999549i \(-0.509563\pi\)
−0.993650 + 0.112519i \(0.964108\pi\)
\(572\) −96.4283 + 28.3139i −0.168581 + 0.0494999i
\(573\) 109.732 + 240.279i 0.191504 + 0.419335i
\(574\) 62.0797i 0.108153i
\(575\) −168.698 + 549.696i −0.293388 + 0.955993i
\(576\) −18.9407 −0.0328832
\(577\) −465.037 + 212.375i −0.805956 + 0.368068i −0.775404 0.631465i \(-0.782454\pi\)
−0.0305521 + 0.999533i \(0.509727\pi\)
\(578\) 302.703 + 1030.91i 0.523708 + 1.78358i
\(579\) 287.799 332.138i 0.497063 0.573641i
\(580\) 369.887 + 62.1990i 0.637736 + 0.107240i
\(581\) 7.47800 + 8.63007i 0.0128709 + 0.0148538i
\(582\) 9.93461 + 69.0967i 0.0170698 + 0.118723i
\(583\) −221.767 + 755.268i −0.380389 + 1.29549i
\(584\) 170.156 109.352i 0.291362 0.187247i
\(585\) −50.5260 + 13.5385i −0.0863692 + 0.0231427i
\(586\) 117.534 + 53.6761i 0.200570 + 0.0915974i
\(587\) 927.083 + 423.385i 1.57936 + 0.721268i 0.995865 0.0908498i \(-0.0289583\pi\)
0.583493 + 0.812118i \(0.301686\pi\)
\(588\) −247.171 35.5378i −0.420359 0.0604385i
\(589\) 86.4748 + 134.557i 0.146816 + 0.228451i
\(590\) −12.1919 101.968i −0.0206642 0.172827i
\(591\) 28.1430 + 195.739i 0.0476192 + 0.331199i
\(592\) −60.8642 70.2410i −0.102811 0.118650i
\(593\) 367.057 571.152i 0.618984 0.963158i −0.380283 0.924870i \(-0.624173\pi\)
0.999267 0.0382874i \(-0.0121902\pi\)
\(594\) −355.824 308.323i −0.599031 0.519063i
\(595\) −89.9183 + 74.2430i −0.151123 + 0.124778i
\(596\) −202.311 + 92.3922i −0.339448 + 0.155020i
\(597\) 587.061 0.983353
\(598\) −45.3517 136.384i −0.0758389 0.228067i
\(599\) 887.931 1.48236 0.741178 0.671308i \(-0.234267\pi\)
0.741178 + 0.671308i \(0.234267\pi\)
\(600\) −172.089 59.5601i −0.286815 0.0992668i
\(601\) −834.900 + 245.149i −1.38918 + 0.407901i −0.888956 0.457992i \(-0.848569\pi\)
−0.500228 + 0.865894i \(0.666751\pi\)
\(602\) 45.7860 + 39.6738i 0.0760565 + 0.0659033i
\(603\) 197.186 + 126.724i 0.327008 + 0.210155i
\(604\) 254.480 + 293.686i 0.421325 + 0.486235i
\(605\) 21.6601 + 35.5355i 0.0358018 + 0.0587364i
\(606\) 434.834 + 127.679i 0.717548 + 0.210691i
\(607\) −381.702 593.939i −0.628833 0.978483i −0.998778 0.0494292i \(-0.984260\pi\)
0.369945 0.929054i \(-0.379377\pi\)
\(608\) −3.83543 + 26.6760i −0.00630828 + 0.0438751i
\(609\) −63.2774 28.8978i −0.103904 0.0474512i
\(610\) −10.6671 + 448.139i −0.0174871 + 0.734654i
\(611\) −7.45846 + 51.8747i −0.0122070 + 0.0849013i
\(612\) −129.002 + 82.9047i −0.210788 + 0.135465i
\(613\) −169.465 49.7593i −0.276451 0.0811734i 0.140568 0.990071i \(-0.455107\pi\)
−0.417019 + 0.908898i \(0.636925\pi\)
\(614\) −33.1902 230.843i −0.0540557 0.375966i
\(615\) 342.959 706.014i 0.557657 1.14799i
\(616\) −19.4865 12.5232i −0.0316339 0.0203299i
\(617\) −640.695 + 739.401i −1.03840 + 1.19838i −0.0586278 + 0.998280i \(0.518673\pi\)
−0.979775 + 0.200101i \(0.935873\pi\)
\(618\) 376.760 110.627i 0.609644 0.179008i
\(619\) 782.611 357.407i 1.26432 0.577393i 0.333454 0.942766i \(-0.391786\pi\)
0.930861 + 0.365373i \(0.119059\pi\)
\(620\) −308.624 + 132.161i −0.497781 + 0.213163i
\(621\) 422.640 524.172i 0.680580 0.844078i
\(622\) 694.398i 1.11640i
\(623\) −33.6259 + 15.3564i −0.0539742 + 0.0246492i
\(624\) 43.6749 12.8241i 0.0699918 0.0205515i
\(625\) 491.285 + 386.347i 0.786056 + 0.618155i
\(626\) −393.078 + 611.641i −0.627920 + 0.977063i
\(627\) −105.449 + 91.3719i −0.168180 + 0.145729i
\(628\) −33.7580 234.792i −0.0537547 0.373872i
\(629\) −721.985 211.994i −1.14783 0.337033i
\(630\) −9.98444 6.75764i −0.0158483 0.0107264i
\(631\) 716.964 + 103.084i 1.13623 + 0.163366i 0.684657 0.728866i \(-0.259952\pi\)
0.451578 + 0.892232i \(0.350861\pi\)
\(632\) −126.394 + 276.764i −0.199991 + 0.437918i
\(633\) −92.2617 42.1345i −0.145753 0.0665632i
\(634\) 2.22546 15.4784i 0.00351019 0.0244139i
\(635\) 137.237 + 92.8843i 0.216121 + 0.146275i
\(636\) 100.444 342.080i 0.157931 0.537862i
\(637\) −212.044 + 30.4874i −0.332879 + 0.0478608i
\(638\) 395.026 + 455.885i 0.619164 + 0.714553i
\(639\) 57.7753 + 37.1299i 0.0904152 + 0.0581063i
\(640\) −53.8825 17.2243i −0.0841914 0.0269129i
\(641\) 46.2523 + 157.521i 0.0721565 + 0.245743i 0.987671 0.156542i \(-0.0500345\pi\)
−0.915515 + 0.402284i \(0.868216\pi\)
\(642\) 98.5558 + 215.807i 0.153514 + 0.336148i
\(643\) 545.056 0.847676 0.423838 0.905738i \(-0.360683\pi\)
0.423838 + 0.905738i \(0.360683\pi\)
\(644\) 16.9114 28.4850i 0.0262600 0.0442314i
\(645\) 301.533 + 704.143i 0.467492 + 1.09169i
\(646\) 90.6401 + 198.474i 0.140310 + 0.307236i
\(647\) −174.452 594.128i −0.269632 0.918281i −0.977322 0.211758i \(-0.932081\pi\)
0.707691 0.706523i \(-0.249737\pi\)
\(648\) 115.614 + 100.180i 0.178416 + 0.154599i
\(649\) 89.2911 138.940i 0.137583 0.214083i
\(650\) −156.048 7.43306i −0.240073 0.0114355i
\(651\) 61.6321 8.86136i 0.0946730 0.0136119i
\(652\) 180.566 614.952i 0.276942 0.943179i
\(653\) 322.081 + 501.168i 0.493233 + 0.767485i 0.995248 0.0973739i \(-0.0310443\pi\)
−0.502015 + 0.864859i \(0.667408\pi\)
\(654\) −652.642 93.8357i −0.997923 0.143480i
\(655\) 14.1697 595.287i 0.0216331 0.908834i
\(656\) 101.287 221.788i 0.154401 0.338091i
\(657\) 167.586 + 24.0952i 0.255078 + 0.0366746i
\(658\) −10.1618 + 6.53057i −0.0154434 + 0.00992488i
\(659\) 189.037 643.800i 0.286854 0.976935i −0.682422 0.730959i \(-0.739073\pi\)
0.969276 0.245977i \(-0.0791086\pi\)
\(660\) −152.429 250.076i −0.230954 0.378902i
\(661\) 474.685 411.317i 0.718132 0.622265i −0.217162 0.976136i \(-0.569680\pi\)
0.935294 + 0.353870i \(0.115135\pi\)
\(662\) 4.75915 7.40538i 0.00718905 0.0111864i
\(663\) 241.331 278.511i 0.363998 0.420077i
\(664\) 12.6356 + 43.0329i 0.0190295 + 0.0648085i
\(665\) −11.5393 + 12.6936i −0.0173523 + 0.0190882i
\(666\) 77.7991i 0.116815i
\(667\) −631.554 + 587.676i −0.946857 + 0.881074i
\(668\) 392.917i 0.588199i
\(669\) −82.0071 179.570i −0.122582 0.268416i
\(670\) 445.714 + 539.819i 0.665244 + 0.805701i
\(671\) −472.104 + 544.837i −0.703583 + 0.811978i
\(672\) 8.82593 + 5.67208i 0.0131338 + 0.00844060i
\(673\) 675.517 585.339i 1.00374 0.869746i 0.0122496 0.999925i \(-0.496101\pi\)
0.991490 + 0.130179i \(0.0415553\pi\)
\(674\) 529.359 76.1104i 0.785400 0.112923i
\(675\) −365.945 633.832i −0.542141 0.939010i
\(676\) −251.493 + 161.625i −0.372031 + 0.239090i
\(677\) 19.5587 136.034i 0.0288903 0.200936i −0.970264 0.242048i \(-0.922181\pi\)
0.999155 + 0.0411116i \(0.0130899\pi\)
\(678\) −242.836 + 531.736i −0.358165 + 0.784271i
\(679\) −5.73397 + 12.5556i −0.00844472 + 0.0184914i
\(680\) −442.377 + 118.535i −0.650554 + 0.174316i
\(681\) 302.967 + 471.426i 0.444885 + 0.692255i
\(682\) −518.068 152.118i −0.759630 0.223048i
\(683\) 502.399 72.2341i 0.735577 0.105760i 0.235663 0.971835i \(-0.424274\pi\)
0.499914 + 0.866075i \(0.333365\pi\)
\(684\) −17.0492 + 14.7732i −0.0249257 + 0.0215983i
\(685\) 283.830 + 47.7279i 0.414350 + 0.0696758i
\(686\) −75.0305 65.0143i −0.109374 0.0947730i
\(687\) −128.206 + 37.6447i −0.186617 + 0.0547958i
\(688\) 98.8460 + 216.443i 0.143671 + 0.314597i
\(689\) 305.855i 0.443911i
\(690\) 349.694 230.524i 0.506803 0.334093i
\(691\) −1156.87 −1.67420 −0.837102 0.547047i \(-0.815752\pi\)
−0.837102 + 0.547047i \(0.815752\pi\)
\(692\) −158.609 + 72.4342i −0.229204 + 0.104674i
\(693\) −5.46267 18.6042i −0.00788264 0.0268458i
\(694\) 25.2155 29.1003i 0.0363336 0.0419312i
\(695\) 38.0906 + 6.40520i 0.0548066 + 0.00921611i
\(696\) −178.918 206.482i −0.257066 0.296670i
\(697\) −280.929 1953.90i −0.403054 2.80330i
\(698\) 119.585 407.269i 0.171325 0.583480i
\(699\) −350.103 + 224.997i −0.500863 + 0.321885i
\(700\) −22.2584 28.3038i −0.0317978 0.0404339i
\(701\) −772.688 352.875i −1.10227 0.503388i −0.220648 0.975353i \(-0.570817\pi\)
−0.881617 + 0.471966i \(0.843545\pi\)
\(702\) 166.410 + 75.9969i 0.237051 + 0.108258i
\(703\) −109.572 15.7541i −0.155863 0.0224098i
\(704\) −49.1855 76.5342i −0.0698658 0.108713i
\(705\) −151.645 + 18.1316i −0.215099 + 0.0257185i
\(706\) −133.231 926.643i −0.188713 1.31253i
\(707\) 58.6818 + 67.7224i 0.0830011 + 0.0957884i
\(708\) −40.4423 + 62.9294i −0.0571219 + 0.0888834i
\(709\) 256.226 + 222.021i 0.361391 + 0.313147i 0.816563 0.577257i \(-0.195877\pi\)
−0.455172 + 0.890404i \(0.650422\pi\)
\(710\) 130.594 + 158.167i 0.183935 + 0.222770i
\(711\) −231.671 + 105.801i −0.325838 + 0.148805i
\(712\) −145.188 −0.203915
\(713\) 191.169 748.143i 0.268120 1.04929i
\(714\) 84.9391 0.118962
\(715\) −185.912 169.004i −0.260016 0.236370i
\(716\) −568.391 + 166.895i −0.793842 + 0.233093i
\(717\) 461.817 + 400.167i 0.644096 + 0.558113i
\(718\) −517.168 332.364i −0.720290 0.462902i
\(719\) 39.2810 + 45.3326i 0.0546328 + 0.0630496i 0.782408 0.622766i \(-0.213991\pi\)
−0.727775 + 0.685816i \(0.759446\pi\)
\(720\) −24.6451 40.4328i −0.0342294 0.0561567i
\(721\) 74.4967 + 21.8742i 0.103324 + 0.0303387i
\(722\) −258.660 402.483i −0.358255 0.557455i
\(723\) −18.4194 + 128.110i −0.0254764 + 0.177192i
\(724\) 123.612 + 56.4518i 0.170735 + 0.0779722i
\(725\) 348.510 + 870.530i 0.480704 + 1.20073i
\(726\) 4.31416 30.0056i 0.00594237 0.0413301i
\(727\) −143.768 + 92.3942i −0.197755 + 0.127090i −0.635771 0.771878i \(-0.719318\pi\)
0.438016 + 0.898967i \(0.355681\pi\)
\(728\) 8.63584 + 2.53571i 0.0118624 + 0.00348312i
\(729\) 114.792 + 798.395i 0.157465 + 1.09519i
\(730\) 454.837 + 220.945i 0.623064 + 0.302665i
\(731\) 1620.61 + 1041.50i 2.21697 + 1.42476i
\(732\) 213.828 246.771i 0.292115 0.337119i
\(733\) −124.096 + 36.4379i −0.169299 + 0.0497107i −0.365284 0.930896i \(-0.619028\pi\)
0.195984 + 0.980607i \(0.437210\pi\)
\(734\) 212.146 96.8839i 0.289027 0.131994i
\(735\) −245.749 573.877i −0.334353 0.780785i
\(736\) 106.893 74.1742i 0.145236 0.100780i
\(737\) 1125.85i 1.52761i
\(738\) 185.652 84.7843i 0.251561 0.114884i
\(739\) 128.022 37.5907i 0.173237 0.0508670i −0.193964 0.981009i \(-0.562134\pi\)
0.367201 + 0.930142i \(0.380316\pi\)
\(740\) 70.7488 221.322i 0.0956065 0.299084i
\(741\) 29.3109 45.6086i 0.0395558 0.0615500i
\(742\) 53.2766 46.1645i 0.0718014 0.0622163i
\(743\) −21.3560 148.535i −0.0287430 0.199912i 0.970390 0.241543i \(-0.0776536\pi\)
−0.999133 + 0.0416314i \(0.986744\pi\)
\(744\) 234.646 + 68.8984i 0.315385 + 0.0926054i
\(745\) −460.471 311.655i −0.618082 0.418329i
\(746\) −752.506 108.194i −1.00872 0.145032i
\(747\) −15.5956 + 34.1496i −0.0208777 + 0.0457157i
\(748\) −669.989 305.974i −0.895708 0.409056i
\(749\) −6.67609 + 46.4333i −0.00891334 + 0.0619937i
\(750\) −96.7745 444.857i −0.129033 0.593142i
\(751\) −334.032 + 1137.61i −0.444782 + 1.51479i 0.366659 + 0.930356i \(0.380502\pi\)
−0.811441 + 0.584434i \(0.801316\pi\)
\(752\) −46.9592 + 6.75172i −0.0624458 + 0.00897835i
\(753\) −631.462 728.746i −0.838595 0.967790i
\(754\) −197.179 126.719i −0.261510 0.168063i
\(755\) −295.809 + 925.375i −0.391800 + 1.22566i
\(756\) 11.8794 + 40.4575i 0.0157135 + 0.0535152i
\(757\) −187.979 411.616i −0.248321 0.543747i 0.743892 0.668300i \(-0.232978\pi\)
−0.992213 + 0.124553i \(0.960250\pi\)
\(758\) 168.782 0.222667
\(759\) 669.721 + 72.1870i 0.882372 + 0.0951080i
\(760\) −61.9359 + 26.5226i −0.0814946 + 0.0348982i
\(761\) 377.182 + 825.914i 0.495640 + 1.08530i 0.977862 + 0.209252i \(0.0671028\pi\)
−0.482222 + 0.876049i \(0.660170\pi\)
\(762\) −34.0079 115.820i −0.0446297 0.151995i
\(763\) −98.5299 85.3767i −0.129135 0.111896i
\(764\) −110.906 + 172.572i −0.145164 + 0.225880i
\(765\) −344.831 167.508i −0.450759 0.218965i
\(766\) 33.2643 4.78268i 0.0434260 0.00624371i
\(767\) −18.0798 + 61.5740i −0.0235721 + 0.0802790i
\(768\) 22.2774 + 34.6643i 0.0290070 + 0.0451358i
\(769\) −814.571 117.118i −1.05926 0.152299i −0.409402 0.912354i \(-0.634263\pi\)
−0.649858 + 0.760056i \(0.725172\pi\)
\(770\) 1.37803 57.8927i 0.00178965 0.0751853i
\(771\) −151.246 + 331.183i −0.196169 + 0.429550i
\(772\) 337.825 + 48.5720i 0.437598 + 0.0629170i
\(773\) −937.958 + 602.789i −1.21340 + 0.779805i