Properties

Label 230.3.i.a.19.10
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 19.10
Character \(\chi\) \(=\) 230.19
Dual form 230.3.i.a.109.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.28641 + 0.587486i) q^{2} +(0.725559 + 2.47103i) q^{3} +(1.30972 - 1.51150i) q^{4} +(-2.80253 - 4.14075i) q^{5} +(-2.38506 - 2.75251i) q^{6} +(0.102488 + 0.712820i) q^{7} +(-0.796860 + 2.71386i) q^{8} +(1.99174 - 1.28002i) q^{9} +O(q^{10})\) \(q+(-1.28641 + 0.587486i) q^{2} +(0.725559 + 2.47103i) q^{3} +(1.30972 - 1.51150i) q^{4} +(-2.80253 - 4.14075i) 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} +(6.03785 + 3.68027i) 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} +(8.19850 - 9.92949i) 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} +(-9.92928 - 1.18720i) q^{20} +(-1.68704 + 0.770444i) q^{21} -16.0825 q^{22} +(-0.814663 - 22.9856i) q^{23} -7.28418 q^{24} +(-9.29162 + 23.2092i) 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} +(-4.71323 + 17.5899i) 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} +(2.66438 - 2.42208i) 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} +(13.4706 - 4.30607i) 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} +(-1.68218 - 35.3153i) 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} +(-9.42905 - 56.0729i) 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} +(-4.27066 - 25.3969i) 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} +(-9.65361 - 19.8729i) 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} +(-64.0921 - 6.12022i) 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} +(-14.7990 + 13.4532i) 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} +(41.9085 - 156.404i) 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} +(16.7367 - 0.398385i) q^{90} +3.18213i q^{91} +(-35.8096 - 28.8733i) q^{92} -86.4624i q^{93} +(-6.96789 - 15.2576i) q^{94} +(-2.82803 + 23.6525i) 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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q + 48 q^{4} - 8 q^{6} + 96 q^{9} + O(q^{10}) \) \( 240 q + 48 q^{4} - 8 q^{6} + 96 q^{9} + 154 q^{15} - 96 q^{16} + 44 q^{20} + 16 q^{24} - 84 q^{25} + 32 q^{26} - 100 q^{29} - 352 q^{30} + 124 q^{31} + 28 q^{35} - 192 q^{36} + 72 q^{39} + 116 q^{41} - 148 q^{46} - 188 q^{49} + 144 q^{50} + 324 q^{54} + 796 q^{55} - 264 q^{56} + 400 q^{59} + 176 q^{60} - 616 q^{61} + 192 q^{64} + 462 q^{65} - 176 q^{66} + 120 q^{69} - 504 q^{70} + 464 q^{71} - 528 q^{74} - 934 q^{75} - 968 q^{79} - 264 q^{80} + 664 q^{81} - 352 q^{84} - 1196 q^{85} + 396 q^{86} + 376 q^{94} + 126 q^{95} - 32 q^{96} - 3300 q^{99} + O(q^{100}) \)

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 \(0.0503040\pi\)
−0.745686 + 0.666298i \(0.767878\pi\)
\(4\) 1.30972 1.51150i 0.327430 0.377875i
\(5\) −2.80253 4.14075i −0.560507 0.828150i
\(6\) −2.38506 2.75251i −0.397510 0.458751i
\(7\) 0.102488 + 0.712820i 0.0146412 + 0.101831i 0.995832 0.0912107i \(-0.0290737\pi\)
−0.981190 + 0.193042i \(0.938165\pi\)
\(8\) −0.796860 + 2.71386i −0.0996075 + 0.339232i
\(9\) 1.99174 1.28002i 0.221305 0.142224i
\(10\) 6.03785 + 3.68027i 0.603785 + 0.368027i
\(11\) 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 0.308465 0.951236i \(-0.400185\pi\)
0.0279756 + 0.999609i \(0.491094\pi\)
\(14\) −0.550614 0.856771i −0.0393295 0.0611980i
\(15\) 8.19850 9.92949i 0.546567 0.661966i
\(16\) −0.569259 3.95929i −0.0355787 0.247455i
\(17\) 21.2072 + 24.4744i 1.24748 + 1.43967i 0.853948 + 0.520359i \(0.174202\pi\)
0.393533 + 0.919310i \(0.371253\pi\)
\(18\) −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 \(0.767286\pi\)
\(20\) −9.92928 1.18720i −0.496464 0.0593602i
\(21\) −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
\(25\) −9.29162 + 23.2092i −0.371665 + 0.928367i
\(26\) −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 \(0.548880\pi\)
\(30\) −4.71323 + 17.5899i −0.157108 + 0.586331i
\(31\) −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
\(35\) 2.66438 2.42208i 0.0761252 0.0692023i
\(36\) 0.673887 4.68698i 0.0187191 0.130194i
\(37\) −19.5470 + 12.5621i −0.528297 + 0.339516i −0.777446 0.628949i \(-0.783485\pi\)
0.249150 + 0.968465i \(0.419849\pi\)
\(38\) 6.46467 + 1.89820i 0.170123 + 0.0499526i
\(39\) 1.61950 + 11.2639i 0.0415256 + 0.288817i
\(40\) 13.4706 4.30607i 0.336766 0.107652i
\(41\) 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 0.460220 0.887805i \(-0.347771\pi\)
0.867145 + 0.498056i \(0.165953\pi\)
\(44\) 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 \(0.0402704\pi\)
−0.992008 + 0.126176i \(0.959730\pi\)
\(48\) 9.37047 4.27935i 0.195218 0.0891531i
\(49\) 46.5175 13.6588i 0.949338 0.278751i
\(50\) −1.68218 35.3153i −0.0336437 0.706306i
\(51\) −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 \(-0.818964\pi\)
0.656715 0.754139i \(-0.271945\pi\)
\(54\) −39.7247 11.6642i −0.735643 0.216004i
\(55\) −9.42905 56.0729i −0.171437 1.01951i
\(56\) −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 \(0.00617813\pi\)
\(60\) −4.27066 25.3969i −0.0711777 0.423282i
\(61\) −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
\(65\) −9.65361 19.8729i −0.148517 0.305736i
\(66\) −11.6688 39.7403i −0.176800 0.602125i
\(67\) −41.1267 90.0550i −0.613832 1.34410i −0.919922 0.392102i \(-0.871748\pi\)
0.306090 0.952003i \(-0.400979\pi\)
\(68\) 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 0.200761 0.979640i \(-0.435659\pi\)
−0.941098 + 0.338135i \(0.890204\pi\)
\(74\) 17.7655 27.6436i 0.240074 0.373562i
\(75\) −64.0921 6.12022i −0.854561 0.0816030i
\(76\) −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 \(0.783838\pi\)
\(80\) −14.7990 + 13.4532i −0.184988 + 0.168165i
\(81\) −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 −0.457810 0.889050i \(-0.651366\pi\)
0.618527 + 0.785763i \(0.287730\pi\)
\(84\) −1.04502 + 3.55902i −0.0124407 + 0.0423693i
\(85\) 41.9085 156.404i 0.493041 1.84005i
\(86\) −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 \(-0.184026\pi\)
\(90\) 16.7367 0.398385i 0.185963 0.00442650i
\(91\) 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
\(95\) −2.82803 + 23.6525i −0.0297688 + 0.248974i
\(96\) −9.54025 + 11.0100i −0.0993776 + 0.114688i
\(97\) 16.1241 + 10.3624i 0.166228 + 0.106828i 0.621110 0.783723i \(-0.286682\pi\)
−0.454882 + 0.890552i \(0.650318\pi\)
\(98\) −51.8165 + 44.8992i −0.528740 + 0.458155i
\(99\) 26.6503 3.83173i 0.269195 0.0387044i
\(100\) 22.9112 + 44.4418i 0.229112 + 0.444418i
\(101\) −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 \(-0.688313\pi\)
0.992519 0.122091i \(-0.0389601\pi\)
\(104\) −5.19185 + 11.3686i −0.0499216 + 0.109313i
\(105\) 7.91819 + 4.82640i 0.0754113 + 0.0459657i
\(106\) 52.9230 + 82.3498i 0.499274 + 0.776885i
\(107\) 62.5016 + 18.3521i 0.584127 + 0.171515i 0.560427 0.828204i \(-0.310637\pi\)
0.0237001 + 0.999719i \(0.492455\pi\)
\(108\) 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 \(-0.0391863\pi\)
\(110\) 45.0717 + 66.5936i 0.409743 + 0.605396i
\(111\) −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 \(0.115025\pi\)
−0.345374 + 0.938465i \(0.612248\pi\)
\(114\) 17.3516i 0.152207i
\(115\) −92.8944 + 67.7911i −0.807777 + 0.589488i
\(116\) 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
\(120\) 20.4142 + 30.1620i 0.170118 + 0.251350i
\(121\) 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
\(125\) 122.143 26.5702i 0.977148 0.212561i
\(126\) −2.19336 1.00168i −0.0174076 0.00794980i
\(127\) −30.1479 13.7681i −0.237385 0.108410i 0.293171 0.956060i \(-0.405290\pi\)
−0.530556 + 0.847650i \(0.678017\pi\)
\(128\) 11.1986 + 1.61011i 0.0874887 + 0.0125790i
\(129\) 82.8250 + 128.878i 0.642054 + 0.999056i
\(130\) 24.0936 + 19.8934i 0.185335 + 0.153026i
\(131\) −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
\(135\) 17.3780 145.342i 0.128726 1.07661i
\(136\) −83.3191 + 38.0506i −0.612640 + 0.279783i
\(137\) −57.5629 −0.420167 −0.210084 0.977683i \(-0.567374\pi\)
−0.210084 + 0.977683i \(0.567374\pi\)
\(138\) −61.3249 + 57.0644i −0.444384 + 0.413510i
\(139\) 7.72508 0.0555761 0.0277880 0.999614i \(-0.491154\pi\)
0.0277880 + 0.999614i \(0.491154\pi\)
\(140\) −0.171370 7.19946i −0.00122407 0.0514247i
\(141\) −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
\(145\) 48.5392 181.150i 0.334753 1.24931i
\(146\) 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 \(0.758093\pi\)
\(150\) 86.0445 29.7800i 0.573630 0.198534i
\(151\) −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
\(155\) 51.1126 + 159.895i 0.329759 + 1.03158i
\(156\) 19.1464 + 12.3046i 0.122733 + 0.0788759i
\(157\) −77.6685 + 89.6343i −0.494704 + 0.570919i −0.947117 0.320890i \(-0.896018\pi\)
0.452412 + 0.891809i \(0.350564\pi\)
\(158\) 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 \(0.804854\pi\)
−0.970445 + 0.241323i \(0.922419\pi\)
\(164\) 116.972 34.3462i 0.713247 0.209428i
\(165\) 131.716 63.9837i 0.798281 0.387780i
\(166\) −12.1238 + 18.8649i −0.0730347 + 0.113644i
\(167\) −148.473 + 128.653i −0.889062 + 0.770376i −0.974128 0.225999i \(-0.927435\pi\)
0.0850659 + 0.996375i \(0.472890\pi\)
\(168\) −0.746541 5.19231i −0.00444370 0.0309066i
\(169\) −143.420 42.1120i −0.848641 0.249183i
\(170\) 37.9733 + 225.821i 0.223372 + 1.32836i
\(171\) −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 0.631215 0.775608i \(-0.282557\pi\)
−0.172808 + 0.984956i \(0.555284\pi\)
\(174\) 19.4413 135.217i 0.111731 0.777109i
\(175\) −17.4962 4.24459i −0.0999785 0.0242548i
\(176\) 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 \(0.991974\pi\)
\(180\) −21.2962 + 10.3450i −0.118312 + 0.0574724i
\(181\) 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
\(190\) −10.2575 32.0883i −0.0539867 0.168886i
\(191\) −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 0.515561 0.856853i \(-0.327584\pi\)
−0.993593 + 0.113021i \(0.963947\pi\)
\(194\) −26.8301 3.85758i −0.138299 0.0198844i
\(195\) 42.1021 38.2733i 0.215908 0.196273i
\(196\) 40.2798 88.2004i 0.205509 0.450002i
\(197\) 76.0048 + 10.9278i 0.385811 + 0.0554712i 0.332491 0.943106i \(-0.392111\pi\)
0.0533195 + 0.998578i \(0.483020\pi\)
\(198\) −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 \(0.896786\pi\)
\(200\) −55.5822 43.7106i −0.277911 0.218553i
\(201\) 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
\(205\) −7.25259 304.690i −0.0353785 1.48629i
\(206\) 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
\(210\) −13.0215 1.55693i −0.0620072 0.00741395i
\(211\) 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
\(215\) −229.355 189.372i −1.06677 0.880800i
\(216\) −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
\(220\) −97.1036 59.1879i −0.441380 0.269036i
\(221\) 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 −0.310317 0.950633i \(-0.600435\pi\)
−0.0299229 + 0.999552i \(0.509526\pi\)
\(224\) −3.07876 + 2.66776i −0.0137445 + 0.0119096i
\(225\) 11.2016 + 58.1202i 0.0497848 + 0.258312i
\(226\) −171.543 148.643i −0.759039 0.657711i
\(227\) 208.782 61.3038i 0.919743 0.270061i 0.212606 0.977138i \(-0.431805\pi\)
0.707137 + 0.707077i \(0.249987\pi\)
\(228\) −10.1938 22.3214i −0.0447098 0.0979007i
\(229\) 51.8837i 0.226567i −0.993563 0.113283i \(-0.963863\pi\)
0.993563 0.113283i \(-0.0361368\pi\)
\(230\) 79.6743 141.782i 0.346410 0.616441i
\(231\) −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 \(0.0218140\pi\)
−0.802257 + 0.596978i \(0.796368\pi\)
\(234\) −9.68869 + 11.1813i −0.0414047 + 0.0477835i
\(235\) 49.1115 33.2395i 0.208985 0.141445i
\(236\) −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 \(0.483525\pi\)
\(240\) −43.9808 26.8078i −0.183253 0.111699i
\(241\) −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
\(245\) −186.925 154.338i −0.762957 0.629952i
\(246\) −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
\(250\) −141.517 + 105.938i −0.566070 + 0.423751i
\(251\) 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
\(255\) 416.885 9.92317i 1.63484 0.0389144i
\(256\) −15.3519 + 4.50772i −0.0599683 + 0.0176083i
\(257\) 106.843 + 92.5796i 0.415730 + 0.360232i 0.837469 0.546485i \(-0.184035\pi\)
−0.421739 + 0.906717i \(0.638580\pi\)
\(258\) −182.261 117.132i −0.706439 0.454001i
\(259\) −10.9578 12.6460i −0.0423082 0.0488263i
\(260\) −42.6814 11.4365i −0.164159 0.0439865i
\(261\) 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 \(-0.810052\pi\)
0.951985 0.306144i \(-0.0990388\pi\)
\(264\) −75.3503 34.4113i −0.285418 0.130346i
\(265\) −256.091 + 232.802i −0.966381 + 0.878497i
\(266\) −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 \(-0.176777\pi\)
\(270\) 63.0312 + 197.180i 0.233449 + 0.730295i
\(271\) −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 \(-0.952482\pi\)
0.988878 0.148729i \(-0.0475183\pi\)
\(278\) −9.93765 + 4.53837i −0.0357469 + 0.0163251i
\(279\) −76.2676 + 22.3942i −0.273360 + 0.0802659i
\(280\) 4.45003 + 9.16081i 0.0158930 + 0.0327172i
\(281\) −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 \(-0.862987\pi\)
0.754411 0.656402i \(-0.227923\pi\)
\(284\) 55.6648 + 16.3447i 0.196003 + 0.0575516i
\(285\) −60.4979 + 10.1731i −0.212273 + 0.0356952i
\(286\) −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
\(290\) 43.9814 + 261.549i 0.151660 + 0.901895i
\(291\) −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 0.644405 0.764684i \(-0.277105\pi\)
−0.848609 + 0.529020i \(0.822560\pi\)
\(294\) −148.543 95.4629i −0.505249 0.324704i
\(295\) −65.3171 + 31.7290i −0.221414 + 0.107556i
\(296\) −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
\(305\) 301.921 96.5132i 0.989905 0.316437i
\(306\) −107.328 + 15.4314i −0.350744 + 0.0504294i
\(307\) −46.4603 + 158.229i −0.151336 + 0.515405i −0.999906 0.0136785i \(-0.995646\pi\)
0.848570 + 0.529083i \(0.177464\pi\)
\(308\) 8.85524 + 13.7790i 0.0287508 + 0.0447371i
\(309\) 274.830 + 39.5147i 0.889419 + 0.127879i
\(310\) −159.688 175.663i −0.515122 0.566655i
\(311\) 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 0.382423 0.923987i \(-0.375090\pi\)
0.999353 + 0.0359741i \(0.0114534\pi\)
\(314\) 47.2551 160.936i 0.150494 0.512535i
\(315\) 2.20647 8.23461i 0.00700467 0.0261416i
\(316\) −162.595 + 140.889i −0.514541 + 0.445853i
\(317\) −5.97811 + 9.30212i −0.0188584 + 0.0293442i −0.850555 0.525886i \(-0.823734\pi\)
0.831696 + 0.555231i \(0.187370\pi\)
\(318\) −165.090 + 190.524i −0.519150 + 0.599132i
\(319\) 120.171 + 409.264i 0.376711 + 1.28296i
\(320\) 0.951856 + 39.9887i 0.00297455 + 0.124965i
\(321\) 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
\(325\) −55.2340 + 95.6675i −0.169951 + 0.294362i
\(326\) 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
\(330\) −131.852 + 159.691i −0.399553 + 0.483912i
\(331\) 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
\(335\) −257.636 + 422.678i −0.769063 + 1.26172i
\(336\) 4.01077 + 6.24088i 0.0119368 + 0.0185740i
\(337\) −362.845 106.541i −1.07669 0.316145i −0.305136 0.952309i \(-0.598702\pi\)
−0.771554 + 0.636164i \(0.780520\pi\)
\(338\) 209.238 30.0839i 0.619047 0.0890056i
\(339\) −312.387 + 270.685i −0.921496 + 0.798481i
\(340\) −181.516 268.190i −0.533870 0.788795i
\(341\) −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
\(345\) −234.914 180.358i −0.680910 0.522777i
\(346\) −123.295 −0.356345
\(347\) −24.7668 + 11.3106i −0.0713740 + 0.0325954i −0.450782 0.892634i \(-0.648855\pi\)
0.379408 + 0.925229i \(0.376128\pi\)
\(348\) 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 \(0.0857860\pi\)
\(350\) 25.0010 4.81849i 0.0714316 0.0137671i
\(351\) 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 \(0.477903\pi\)
−0.597691 + 0.801726i \(0.703915\pi\)
\(354\) −44.4978 + 28.5970i −0.125700 + 0.0807825i
\(355\) 75.4872 123.844i 0.212640 0.348857i
\(356\) −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 \(-0.388818\pi\)
\(360\) 21.3182 25.8192i 0.0592172 0.0717200i
\(361\) −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
\(365\) −42.4492 + 355.028i −0.116299 + 0.972678i
\(366\) 210.023 95.9143i 0.573833 0.262061i
\(367\) −164.913 −0.449354 −0.224677 0.974433i \(-0.572133\pi\)
−0.224677 + 0.974433i \(0.572133\pi\)
\(368\) −90.5427 + 16.3102i −0.246040 + 0.0443213i
\(369\) 144.317 0.391104
\(370\) −164.254 + 3.90975i −0.443929 + 0.0105669i
\(371\) 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 0.981063 0.193687i \(-0.0620445\pi\)
0.231365 + 0.972867i \(0.425681\pi\)
\(374\) −341.064 393.609i −0.911936 1.05243i
\(375\) 154.278 + 282.542i 0.411408 + 0.753444i
\(376\) −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 \(0.586037\pi\)
\(380\) 32.0468 + 35.2528i 0.0843337 + 0.0927704i
\(381\) 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 0.251831 0.967771i \(-0.418967\pi\)
−0.311363 + 0.950291i \(0.600785\pi\)
\(384\) 4.14659 + 28.8401i 0.0107984 + 0.0751046i
\(385\) 39.0036 12.4680i 0.101308 0.0323845i
\(386\) 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
\(395\) 235.014 + 483.799i 0.594973 + 1.22481i
\(396\) 29.1128 45.3004i 0.0735171 0.114395i
\(397\) −285.388 + 247.290i −0.718861 + 0.622897i −0.935488 0.353358i \(-0.885040\pi\)
0.216627 + 0.976254i \(0.430494\pi\)
\(398\) −45.8789 319.095i −0.115274 0.801746i
\(399\) 8.47793 + 2.48935i 0.0212480 + 0.00623896i
\(400\) 97.1811 + 23.5761i 0.242953 + 0.0589404i
\(401\) −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
\(405\) 266.687 44.8452i 0.658486 0.110729i
\(406\) 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 \(0.679141\pi\)
\(410\) 188.331 + 387.697i 0.459344 + 0.945603i
\(411\) −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 \(0.132126\pi\)
\(420\) 17.6657 5.64709i 0.0420613 0.0134455i
\(421\) 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
\(425\) −765.079 + 264.794i −1.80019 + 0.623045i
\(426\) 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
\(430\) 406.299 + 108.868i 0.944881 + 0.253181i
\(431\) 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 −0.178051 0.984021i \(-0.556979\pi\)
0.999345 + 0.0361980i \(0.0115247\pi\)
\(434\) 9.63311 + 32.8074i 0.0221961 + 0.0755930i
\(435\) 482.844 11.4932i 1.10999 0.0264211i
\(436\) 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 \(0.605100\pi\)
\(440\) 159.688 + 19.0932i 0.362926 + 0.0433936i
\(441\) 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 −0.602381 0.798209i \(-0.705781\pi\)
0.704357 + 0.709846i \(0.251236\pi\)
\(444\) −118.461 + 17.0321i −0.266804 + 0.0383606i
\(445\) −163.412 + 197.914i −0.367218 + 0.444751i
\(446\) 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 \(0.144719\pi\)
\(450\) −48.5546 68.1858i −0.107899 0.151524i
\(451\) 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
\(455\) 13.1764 8.91802i 0.0289591 0.0196000i
\(456\) 26.2270 + 22.7258i 0.0575153 + 0.0498373i
\(457\) −225.934 + 66.3403i −0.494386 + 0.145165i −0.519415 0.854522i \(-0.673850\pi\)
0.0250294 + 0.999687i \(0.492032\pi\)
\(458\) 30.4809 + 66.7440i 0.0665523 + 0.145729i
\(459\) 948.064i 2.06550i
\(460\) −19.1995 + 229.197i −0.0417381 + 0.498255i
\(461\) 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 \(-0.936609\pi\)
0.717669 0.696384i \(-0.245209\pi\)
\(464\) 98.2500 113.387i 0.211746 0.244368i
\(465\) −358.019 + 242.314i −0.769933 + 0.521105i
\(466\) −149.657 172.713i −0.321152 0.370630i
\(467\) 31.2607 + 217.423i 0.0669394 + 0.465574i 0.995528 + 0.0944636i \(0.0301136\pi\)
−0.928589 + 0.371110i \(0.878977\pi\)
\(468\) 5.89479 20.0758i 0.0125957 0.0428970i
\(469\) 59.9780 38.5455i 0.127885 0.0821866i
\(470\) −43.6500 + 71.6121i −0.0928723 + 0.152366i
\(471\) −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
\(475\) 105.865 54.5767i 0.222873 0.114898i
\(476\) 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 \(0.994628\pi\)
\(480\) 72.3266 + 8.64780i 0.150681 + 0.0180163i
\(481\) −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
\(485\) −2.28050 95.8069i −0.00470207 0.197540i
\(486\) −168.515 + 49.4805i −0.346739 + 0.101812i
\(487\) 452.971 + 392.502i 0.930126 + 0.805959i 0.981251 0.192733i \(-0.0617353\pi\)
−0.0511251 + 0.998692i \(0.516281\pi\)
\(488\) −150.842 96.9403i −0.309102 0.198648i
\(489\) −540.449 623.711i −1.10521 1.27548i
\(490\) 331.134 + 88.7275i 0.675783 + 0.181077i
\(491\) −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
\(495\) −90.5545 99.6136i −0.182938 0.201240i
\(496\) −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 \(-0.308680\pi\)
\(500\) 119.813 219.419i 0.239626 0.438839i
\(501\) −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 −0.473955 0.880549i \(-0.657174\pi\)
0.0773441 + 0.997004i \(0.475356\pi\)
\(504\) −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 \(0.486168\pi\)
\(510\) −530.457 + 257.679i −1.04011 + 0.505254i
\(511\) 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
\(515\) −531.603 + 89.3927i −1.03224 + 0.173578i
\(516\) 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
\(520\) 61.6247 10.3626i 0.118509 0.0199281i
\(521\) −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 0.724621 0.689147i \(-0.242015\pi\)
−0.785257 + 0.619170i \(0.787469\pi\)
\(524\) −200.372 128.771i −0.382388 0.245746i
\(525\) −2.20606 46.3134i −0.00420202 0.0882160i
\(526\) 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
\(535\) −99.1712 310.236i −0.185367 0.579880i
\(536\) 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
\(540\) −196.924 216.625i −0.364675 0.401157i
\(541\) 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
\(545\) −874.341 234.280i −1.60430 0.429872i
\(546\) 8.75883 7.58957i 0.0160418 0.0139003i
\(547\) 71.7815 111.694i 0.131228 0.204194i −0.769421 0.638742i \(-0.779455\pi\)
0.900649 + 0.434547i \(0.143092\pi\)
\(548\) −75.3914 + 87.0063i −0.137576 + 0.158771i
\(549\) 42.2858 + 144.012i 0.0770232 + 0.262317i
\(550\) 149.432 373.261i 0.271695 0.678657i
\(551\) 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
\(555\) −35.5209 + 297.082i −0.0640016 + 0.535283i
\(556\) 10.1177 11.6764i 0.0181973 0.0210008i
\(557\) −298.274 191.689i −0.535501 0.344146i 0.244776 0.969580i \(-0.421286\pi\)
−0.780277 + 0.625434i \(0.784922\pi\)
\(558\) 84.9554 73.6143i 0.152250 0.131925i
\(559\) 260.177 37.4078i 0.465432 0.0669191i
\(560\) −11.1064 9.17027i −0.0198329 0.0163755i
\(561\) −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 −0.835116 0.550074i \(-0.814599\pi\)
0.962603 + 0.270916i \(0.0873267\pi\)
\(564\) −25.3777 + 55.5694i −0.0449959 + 0.0985273i
\(565\) 417.681 685.246i 0.739258 1.21283i
\(566\) 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 \(0.970987\pi\)
\(570\) 71.8487 48.6285i 0.126050 0.0853131i
\(571\) −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
\(575\) 541.046 + 194.666i 0.940949 + 0.338549i
\(576\) −18.9407 −0.0328832
\(577\) 465.037 212.375i 0.805956 0.368068i 0.0305521 0.999533i \(-0.490273\pi\)
0.775404 + 0.631465i \(0.217546\pi\)
\(578\) −302.703 1030.91i −0.523708 1.78358i
\(579\) 287.799 332.138i 0.497063 0.573641i
\(580\) −210.235 310.622i −0.362474 0.535556i
\(581\) 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
\(585\) −44.6651 27.2249i −0.0763506 0.0465383i
\(586\) 117.534 + 53.6761i 0.200570 + 0.0915974i
\(587\) −927.083 423.385i −1.57936 0.721268i −0.583493 0.812118i \(-0.698314\pi\)
−0.995865 + 0.0908498i \(0.971042\pi\)
\(588\) 247.171 + 35.5378i 0.420359 + 0.0604385i
\(589\) 86.4748 + 134.557i 0.146816 + 0.228451i
\(590\) 65.3845 79.1895i 0.110821 0.134219i
\(591\) 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 \(0.375827\pi\)
−0.999267 + 0.0382874i \(0.987810\pi\)
\(594\) −355.824 308.323i −0.599031 0.519063i
\(595\) 115.783 + 13.8437i 0.194593 + 0.0232667i
\(596\) −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 \(0.234267\pi\)
\(600\) 67.6818 169.060i 0.112803 0.281766i
\(601\) −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
\(605\) 10.7712 40.1984i 0.0178036 0.0664437i
\(606\) 434.834 + 127.679i 0.717548 + 0.210691i
\(607\) 381.702 + 593.939i 0.628833 + 0.978483i 0.998778 + 0.0494292i \(0.0157402\pi\)
−0.369945 + 0.929054i \(0.620623\pi\)
\(608\) 3.83543 26.6760i 0.00630828 0.0438751i
\(609\) −63.2774 28.8978i −0.103904 0.0474512i
\(610\) −331.695 + 301.530i −0.543763 + 0.494312i
\(611\) −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 0.417019 0.908898i \(-0.363075\pi\)
−0.140568 + 0.990071i \(0.544893\pi\)
\(614\) −33.1902 230.843i −0.0540557 0.375966i
\(615\) 747.636 238.992i 1.21567 0.388605i
\(616\) −19.4865 12.5232i −0.0316339 0.0203299i
\(617\) 640.695 739.401i 1.03840 1.19838i 0.0586278 0.998280i \(-0.481327\pi\)
0.979775 0.200101i \(-0.0641271\pi\)
\(618\) −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
\(625\) −452.332 431.302i −0.723730 0.690083i
\(626\) −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
\(630\) 1.99928 + 11.8894i 0.00317347 + 0.0188721i
\(631\) 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
\(635\) 27.4803 + 163.421i 0.0432761 + 0.257355i
\(636\) 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
\(640\) −24.7172 50.8828i −0.0386207 0.0795043i
\(641\) 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 \(-0.639317\pi\)
−0.423838 + 0.905738i \(0.639317\pi\)
\(644\) 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 \(0.0679189\pi\)
−0.707691 + 0.706523i \(0.750263\pi\)
\(648\) −115.614 100.180i −0.178416 0.154599i
\(649\) 89.2911 138.940i 0.137583 0.214083i
\(650\) 14.8505 155.517i 0.0228469 0.239257i
\(651\) 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 0.502015 0.864859i \(-0.332592\pi\)
−0.995248 + 0.0973739i \(0.968956\pi\)
\(654\) −652.642 93.8357i −0.997923 0.143480i
\(655\) −440.608 + 400.539i −0.672685 + 0.611509i
\(656\) 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 \(-0.0791086\pi\)
\(660\) 75.8006 282.890i 0.114849 0.428621i
\(661\) 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
\(665\) −17.1498 + 0.408219i −0.0257892 + 0.000613864i
\(666\) 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
\(670\) 83.1098 695.096i 0.124045 1.03746i
\(671\) −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 −0.991490 0.130179i \(-0.958445\pi\)
−0.0122496 + 0.999925i \(0.503899\pi\)
\(674\) 529.359 76.1104i 0.785400 0.112923i
\(675\) −650.528 + 335.368i −0.963745 + 0.496842i
\(676\) −251.493 + 161.625i −0.372031 + 0.239090i
\(677\) −19.5587 + 136.034i −0.0288903 + 0.200936i −0.999155 0.0411116i \(-0.986910\pi\)
0.970264 + 0.242048i \(0.0778192\pi\)
\(678\) 242.836 531.736i 0.358165 0.784271i
\(679\) −5.73397 + 12.5556i −0.00844472 + 0.0184914i
\(680\) 391.062 + 238.366i 0.575092 + 0.350538i
\(681\) 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 −0.499914 0.866075i \(-0.666635\pi\)
−0.235663 + 0.971835i \(0.575726\pi\)
\(684\) −17.0492 + 14.7732i −0.0249257 + 0.0215983i
\(685\) 161.322 + 238.354i 0.235507 + 0.347962i
\(686\) −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
\(690\) 408.154 + 94.0065i 0.591528 + 0.136241i
\(691\) −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
\(695\) −21.6498 31.9876i −0.0311508 0.0460253i
\(696\) −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
\(700\) −29.3309 + 20.8863i −0.0419013 + 0.0298376i
\(701\) −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
\(705\) 117.769 + 97.2386i 0.167048 + 0.137927i
\(706\) −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 \(0.650422\pi\)
\(710\) −24.3511 + 203.663i −0.0342973 + 0.286849i
\(711\) −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
\(715\) −5.97880 251.177i −0.00836196 0.351297i
\(716\) −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 \(0.759446\pi\)
\(720\) −12.2556 + 45.7383i −0.0170217 + 0.0635254i
\(721\) 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
\(725\) −886.128 + 306.689i −1.22225 + 0.423020i
\(726\) 4.31416 30.0056i 0.00594237 0.0413301i
\(727\) 143.768 92.3942i 0.197755 0.127090i −0.438016 0.898967i \(-0.644319\pi\)
0.635771 + 0.771878i \(0.280682\pi\)
\(728\) −8.63584 2.53571i −0.0118624 0.00348312i
\(729\) 114.792 + 798.395i 0.157465 + 1.09519i
\(730\) −153.966 481.651i −0.210913 0.659796i
\(731\) 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 −0.195984 0.980607i \(-0.562790\pi\)
0.365284 + 0.930896i \(0.380972\pi\)
\(734\) 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 \(0.380316\pi\)
\(740\) 209.001 101.526i 0.282434 0.137197i
\(741\) 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 0.999133 0.0416314i \(-0.0132555\pi\)
−0.970390 + 0.241543i \(0.922346\pi\)
\(744\) 234.646 + 68.8984i 0.315385 + 0.0926054i
\(745\) 92.2047 + 548.325i 0.123765 + 0.736007i
\(746\) −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
\(750\) −364.454 272.829i −0.485939 0.363772i
\(751\) −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
\(755\) 873.858 424.493i 1.15743 0.562242i
\(756\) 11.8794 + 40.4575i 0.0157135 + 0.0535152i
\(757\) 187.979 + 411.616i 0.248321 + 0.543747i 0.992213 0.124553i \(-0.0397497\pi\)
−0.743892 + 0.668300i \(0.767022\pi\)
\(758\) −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
\(765\) −116.728 365.160i −0.152586 0.477333i
\(766\) 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 \(0.725172\pi\)
\(770\) −42.8499 + 38.9531i −0.0556493 + 0.0505884i
\(771\) −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 0.232175