Properties

Label 210.3.w.a.17.12
Level 210
Weight 3
Character 210.17
Analytic conductor 5.722
Analytic rank 0
Dimension 64
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 210.w (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.72208555157\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(16\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 17.12
Character \(\chi\) \(=\) 210.17
Dual form 210.3.w.a.173.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.36603 - 0.366025i) q^{2} +(1.06031 - 2.80638i) q^{3} +(1.73205 + 1.00000i) q^{4} +(-0.695196 + 4.95143i) q^{5} +(-2.47561 + 3.44548i) q^{6} +(-2.48720 + 6.54323i) q^{7} +(-2.00000 - 2.00000i) q^{8} +(-6.75151 - 5.95123i) q^{9} +O(q^{10})\) \(q+(-1.36603 - 0.366025i) q^{2} +(1.06031 - 2.80638i) q^{3} +(1.73205 + 1.00000i) q^{4} +(-0.695196 + 4.95143i) q^{5} +(-2.47561 + 3.44548i) q^{6} +(-2.48720 + 6.54323i) q^{7} +(-2.00000 - 2.00000i) q^{8} +(-6.75151 - 5.95123i) q^{9} +(2.76201 - 6.50933i) q^{10} +(-16.0981 - 9.29422i) q^{11} +(4.64288 - 3.80048i) q^{12} +(-11.8606 - 11.8606i) q^{13} +(5.79257 - 8.02784i) q^{14} +(13.1585 + 7.20101i) q^{15} +(2.00000 + 3.46410i) q^{16} +(-16.3649 + 4.38496i) q^{17} +(7.04443 + 10.6008i) q^{18} +(-2.06928 - 3.58409i) q^{19} +(-6.15555 + 7.88094i) q^{20} +(15.7256 + 13.9178i) q^{21} +(18.5884 + 18.5884i) q^{22} +(-5.44679 + 20.3277i) q^{23} +(-7.73336 + 3.49214i) q^{24} +(-24.0334 - 6.88444i) q^{25} +(11.8606 + 20.5431i) q^{26} +(-23.8601 + 12.6371i) q^{27} +(-10.8512 + 8.84600i) q^{28} +49.5120 q^{29} +(-15.3391 - 14.6531i) q^{30} +(-2.73364 - 1.57827i) q^{31} +(-1.46410 - 5.46410i) q^{32} +(-43.1519 + 35.3225i) q^{33} +23.9599 q^{34} +(-30.6693 - 16.8640i) q^{35} +(-5.74272 - 17.0593i) q^{36} +(8.12079 - 30.3072i) q^{37} +(1.51482 + 5.65337i) q^{38} +(-45.8610 + 20.7094i) q^{39} +(11.2933 - 8.51248i) q^{40} +26.6051 q^{41} +(-16.3872 - 24.7681i) q^{42} +(-25.3219 + 25.3219i) q^{43} +(-18.5884 - 32.1961i) q^{44} +(34.1608 - 29.2924i) q^{45} +(14.8809 - 25.7745i) q^{46} +(-13.1425 + 49.0486i) q^{47} +(11.8422 - 1.93975i) q^{48} +(-36.6276 - 32.5487i) q^{49} +(30.3104 + 18.2012i) q^{50} +(-5.04593 + 50.5755i) q^{51} +(-8.68253 - 32.4037i) q^{52} +(-37.7945 + 10.1270i) q^{53} +(37.2190 - 8.52928i) q^{54} +(57.2110 - 73.2472i) q^{55} +(18.0609 - 8.11205i) q^{56} +(-12.2524 + 2.00694i) q^{57} +(-67.6347 - 18.1227i) q^{58} +(46.6060 + 26.9080i) q^{59} +(15.5901 + 25.6310i) q^{60} +(34.2320 - 19.7639i) q^{61} +(3.15654 + 3.15654i) q^{62} +(55.7326 - 29.3747i) q^{63} +8.00000i q^{64} +(66.9722 - 50.4814i) q^{65} +(71.8756 - 32.4568i) q^{66} +(47.4290 - 12.7086i) q^{67} +(-32.7298 - 8.76993i) q^{68} +(51.2719 + 36.8393i) q^{69} +(35.7223 + 34.2624i) q^{70} -81.2437i q^{71} +(1.60055 + 25.4055i) q^{72} +(-0.400521 + 0.107319i) q^{73} +(-22.1864 + 38.4280i) q^{74} +(-44.8031 + 60.1472i) q^{75} -8.27711i q^{76} +(100.853 - 82.2167i) q^{77} +(70.2275 - 11.5033i) q^{78} +(-117.114 + 67.6156i) q^{79} +(-18.5427 + 7.49464i) q^{80} +(10.1657 + 80.3596i) q^{81} +(-36.3432 - 9.73814i) q^{82} +(-27.5253 + 27.5253i) q^{83} +(13.3196 + 39.8320i) q^{84} +(-10.3350 - 84.0782i) q^{85} +(43.8587 - 25.3219i) q^{86} +(52.4979 - 138.949i) q^{87} +(13.6077 + 50.7846i) q^{88} +(-20.2878 + 11.7132i) q^{89} +(-57.3862 + 27.5104i) q^{90} +(107.106 - 48.1067i) q^{91} +(-29.7618 + 29.7618i) q^{92} +(-7.32771 + 5.99818i) q^{93} +(35.9060 - 62.1911i) q^{94} +(19.1850 - 7.75424i) q^{95} +(-16.8867 - 1.68479i) q^{96} +(50.1321 - 50.1321i) q^{97} +(38.1207 + 57.8689i) q^{98} +(53.3741 + 158.553i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q - 32q^{2} - 6q^{3} - 12q^{5} + 4q^{7} - 128q^{8} - 16q^{9} + O(q^{10}) \) \( 64q - 32q^{2} - 6q^{3} - 12q^{5} + 4q^{7} - 128q^{8} - 16q^{9} + 24q^{10} + 12q^{12} - 16q^{14} - 44q^{15} + 128q^{16} - 20q^{18} + 36q^{21} + 16q^{22} - 12q^{23} - 16q^{25} + 8q^{28} - 112q^{29} + 26q^{30} + 128q^{32} + 30q^{33} + 16q^{36} - 32q^{37} + 24q^{38} + 64q^{39} - 136q^{42} + 32q^{43} - 16q^{44} - 114q^{45} - 24q^{46} - 96q^{47} + 40q^{50} - 84q^{51} + 56q^{53} - 72q^{54} - 316q^{57} + 56q^{58} + 672q^{59} + 8q^{60} + 600q^{61} - 210q^{63} + 28q^{65} + 16q^{67} + 24q^{72} - 624q^{73} - 64q^{74} + 48q^{75} + 208q^{77} - 8q^{78} - 48q^{80} - 64q^{81} - 192q^{82} + 160q^{84} - 152q^{85} + 60q^{87} - 16q^{88} + 144q^{89} - 232q^{91} + 48q^{92} - 170q^{93} + 136q^{95} - 48q^{96} + 128q^{98} + 160q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(71\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.36603 0.366025i −0.683013 0.183013i
\(3\) 1.06031 2.80638i 0.353435 0.935459i
\(4\) 1.73205 + 1.00000i 0.433013 + 0.250000i
\(5\) −0.695196 + 4.95143i −0.139039 + 0.990287i
\(6\) −2.47561 + 3.44548i −0.412602 + 0.574247i
\(7\) −2.48720 + 6.54323i −0.355315 + 0.934747i
\(8\) −2.00000 2.00000i −0.250000 0.250000i
\(9\) −6.75151 5.95123i −0.750167 0.661248i
\(10\) 2.76201 6.50933i 0.276201 0.650933i
\(11\) −16.0981 9.29422i −1.46346 0.844929i −0.464291 0.885683i \(-0.653691\pi\)
−0.999169 + 0.0407536i \(0.987024\pi\)
\(12\) 4.64288 3.80048i 0.386907 0.316707i
\(13\) −11.8606 11.8606i −0.912351 0.912351i 0.0841060 0.996457i \(-0.473197\pi\)
−0.996457 + 0.0841060i \(0.973197\pi\)
\(14\) 5.79257 8.02784i 0.413755 0.573417i
\(15\) 13.1585 + 7.20101i 0.877231 + 0.480068i
\(16\) 2.00000 + 3.46410i 0.125000 + 0.216506i
\(17\) −16.3649 + 4.38496i −0.962642 + 0.257939i −0.705718 0.708493i \(-0.749376\pi\)
−0.256923 + 0.966432i \(0.582709\pi\)
\(18\) 7.04443 + 10.6008i 0.391357 + 0.588931i
\(19\) −2.06928 3.58409i −0.108909 0.188636i 0.806419 0.591344i \(-0.201402\pi\)
−0.915329 + 0.402708i \(0.868069\pi\)
\(20\) −6.15555 + 7.88094i −0.307777 + 0.394047i
\(21\) 15.7256 + 13.9178i 0.748837 + 0.662755i
\(22\) 18.5884 + 18.5884i 0.844929 + 0.844929i
\(23\) −5.44679 + 20.3277i −0.236817 + 0.883813i 0.740504 + 0.672052i \(0.234587\pi\)
−0.977321 + 0.211762i \(0.932080\pi\)
\(24\) −7.73336 + 3.49214i −0.322224 + 0.145506i
\(25\) −24.0334 6.88444i −0.961336 0.275377i
\(26\) 11.8606 + 20.5431i 0.456175 + 0.790119i
\(27\) −23.8601 + 12.6371i −0.883706 + 0.468043i
\(28\) −10.8512 + 8.84600i −0.387542 + 0.315929i
\(29\) 49.5120 1.70731 0.853656 0.520838i \(-0.174380\pi\)
0.853656 + 0.520838i \(0.174380\pi\)
\(30\) −15.3391 14.6531i −0.511302 0.488437i
\(31\) −2.73364 1.57827i −0.0881819 0.0509119i 0.455261 0.890358i \(-0.349546\pi\)
−0.543443 + 0.839446i \(0.682879\pi\)
\(32\) −1.46410 5.46410i −0.0457532 0.170753i
\(33\) −43.1519 + 35.3225i −1.30763 + 1.07038i
\(34\) 23.9599 0.704703
\(35\) −30.6693 16.8640i −0.876265 0.481830i
\(36\) −5.74272 17.0593i −0.159520 0.473871i
\(37\) 8.12079 30.3072i 0.219481 0.819113i −0.765060 0.643959i \(-0.777291\pi\)
0.984541 0.175155i \(-0.0560425\pi\)
\(38\) 1.51482 + 5.65337i 0.0398636 + 0.148773i
\(39\) −45.8610 + 20.7094i −1.17592 + 0.531010i
\(40\) 11.2933 8.51248i 0.282332 0.212812i
\(41\) 26.6051 0.648905 0.324452 0.945902i \(-0.394820\pi\)
0.324452 + 0.945902i \(0.394820\pi\)
\(42\) −16.3872 24.7681i −0.390172 0.589716i
\(43\) −25.3219 + 25.3219i −0.588880 + 0.588880i −0.937328 0.348448i \(-0.886709\pi\)
0.348448 + 0.937328i \(0.386709\pi\)
\(44\) −18.5884 32.1961i −0.422465 0.731730i
\(45\) 34.1608 29.2924i 0.759128 0.650941i
\(46\) 14.8809 25.7745i 0.323498 0.560315i
\(47\) −13.1425 + 49.0486i −0.279628 + 1.04359i 0.673048 + 0.739599i \(0.264985\pi\)
−0.952676 + 0.303987i \(0.901682\pi\)
\(48\) 11.8422 1.93975i 0.246712 0.0404114i
\(49\) −36.6276 32.5487i −0.747503 0.664258i
\(50\) 30.3104 + 18.2012i 0.606207 + 0.364023i
\(51\) −5.04593 + 50.5755i −0.0989399 + 0.991677i
\(52\) −8.68253 32.4037i −0.166972 0.623147i
\(53\) −37.7945 + 10.1270i −0.713103 + 0.191075i −0.597092 0.802172i \(-0.703677\pi\)
−0.116011 + 0.993248i \(0.537011\pi\)
\(54\) 37.2190 8.52928i 0.689240 0.157950i
\(55\) 57.2110 73.2472i 1.04020 1.33177i
\(56\) 18.0609 8.11205i 0.322515 0.144858i
\(57\) −12.2524 + 2.00694i −0.214954 + 0.0352095i
\(58\) −67.6347 18.1227i −1.16612 0.312460i
\(59\) 46.6060 + 26.9080i 0.789933 + 0.456068i 0.839939 0.542681i \(-0.182591\pi\)
−0.0500062 + 0.998749i \(0.515924\pi\)
\(60\) 15.5901 + 25.6310i 0.259835 + 0.427183i
\(61\) 34.2320 19.7639i 0.561181 0.323998i −0.192439 0.981309i \(-0.561640\pi\)
0.753619 + 0.657311i \(0.228306\pi\)
\(62\) 3.15654 + 3.15654i 0.0509119 + 0.0509119i
\(63\) 55.7326 29.3747i 0.884645 0.466265i
\(64\) 8.00000i 0.125000i
\(65\) 66.9722 50.4814i 1.03034 0.776636i
\(66\) 71.8756 32.4568i 1.08902 0.491769i
\(67\) 47.4290 12.7086i 0.707895 0.189680i 0.113131 0.993580i \(-0.463912\pi\)
0.594764 + 0.803900i \(0.297245\pi\)
\(68\) −32.7298 8.76993i −0.481321 0.128970i
\(69\) 51.2719 + 36.8393i 0.743072 + 0.533903i
\(70\) 35.7223 + 34.2624i 0.510319 + 0.489464i
\(71\) 81.2437i 1.14428i −0.820157 0.572138i \(-0.806114\pi\)
0.820157 0.572138i \(-0.193886\pi\)
\(72\) 1.60055 + 25.4055i 0.0222298 + 0.352854i
\(73\) −0.400521 + 0.107319i −0.00548658 + 0.00147013i −0.261561 0.965187i \(-0.584237\pi\)
0.256075 + 0.966657i \(0.417571\pi\)
\(74\) −22.1864 + 38.4280i −0.299816 + 0.519297i
\(75\) −44.8031 + 60.1472i −0.597374 + 0.801963i
\(76\) 8.27711i 0.108909i
\(77\) 100.853 82.2167i 1.30978 1.06775i
\(78\) 70.2275 11.5033i 0.900352 0.147478i
\(79\) −117.114 + 67.6156i −1.48245 + 0.855894i −0.999802 0.0199190i \(-0.993659\pi\)
−0.482650 + 0.875813i \(0.660326\pi\)
\(80\) −18.5427 + 7.49464i −0.231783 + 0.0936830i
\(81\) 10.1657 + 80.3596i 0.125502 + 0.992093i
\(82\) −36.3432 9.73814i −0.443210 0.118758i
\(83\) −27.5253 + 27.5253i −0.331630 + 0.331630i −0.853205 0.521575i \(-0.825345\pi\)
0.521575 + 0.853205i \(0.325345\pi\)
\(84\) 13.3196 + 39.8320i 0.158567 + 0.474190i
\(85\) −10.3350 84.0782i −0.121589 0.989155i
\(86\) 43.8587 25.3219i 0.509985 0.294440i
\(87\) 52.4979 138.949i 0.603424 1.59712i
\(88\) 13.6077 + 50.7846i 0.154633 + 0.577097i
\(89\) −20.2878 + 11.7132i −0.227953 + 0.131609i −0.609627 0.792688i \(-0.708681\pi\)
0.381674 + 0.924297i \(0.375348\pi\)
\(90\) −57.3862 + 27.5104i −0.637625 + 0.305671i
\(91\) 107.106 48.1067i 1.17699 0.528645i
\(92\) −29.7618 + 29.7618i −0.323498 + 0.323498i
\(93\) −7.32771 + 5.99818i −0.0787925 + 0.0644965i
\(94\) 35.9060 62.1911i 0.381979 0.661607i
\(95\) 19.1850 7.75424i 0.201947 0.0816236i
\(96\) −16.8867 1.68479i −0.175903 0.0175499i
\(97\) 50.1321 50.1321i 0.516826 0.516826i −0.399784 0.916609i \(-0.630915\pi\)
0.916609 + 0.399784i \(0.130915\pi\)
\(98\) 38.1207 + 57.8689i 0.388986 + 0.590499i
\(99\) 53.3741 + 158.553i 0.539132 + 1.60155i
\(100\) −34.7426 35.9576i −0.347426 0.359576i
\(101\) −6.51287 + 11.2806i −0.0644839 + 0.111689i −0.896465 0.443115i \(-0.853873\pi\)
0.831981 + 0.554804i \(0.187207\pi\)
\(102\) 25.4048 67.2405i 0.249067 0.659220i
\(103\) −11.7176 + 43.7305i −0.113763 + 0.424568i −0.999191 0.0402071i \(-0.987198\pi\)
0.885429 + 0.464775i \(0.153865\pi\)
\(104\) 47.4422i 0.456175i
\(105\) −79.8457 + 68.1885i −0.760435 + 0.649414i
\(106\) 55.3350 0.522028
\(107\) −187.956 50.3627i −1.75660 0.470680i −0.770585 0.637337i \(-0.780036\pi\)
−0.986015 + 0.166657i \(0.946703\pi\)
\(108\) −53.9640 1.97188i −0.499667 0.0182581i
\(109\) 8.61243 + 4.97239i 0.0790131 + 0.0456183i 0.538986 0.842315i \(-0.318808\pi\)
−0.459973 + 0.887933i \(0.652141\pi\)
\(110\) −104.962 + 79.1168i −0.954201 + 0.719244i
\(111\) −76.4429 54.9249i −0.688675 0.494819i
\(112\) −27.6408 + 4.47053i −0.246793 + 0.0399155i
\(113\) −22.6574 22.6574i −0.200508 0.200508i 0.599709 0.800218i \(-0.295283\pi\)
−0.800218 + 0.599709i \(0.795283\pi\)
\(114\) 17.4717 + 1.74315i 0.153260 + 0.0152908i
\(115\) −96.8647 41.1012i −0.842302 0.357402i
\(116\) 85.7574 + 49.5120i 0.739288 + 0.426828i
\(117\) 9.49168 + 150.662i 0.0811255 + 1.28771i
\(118\) −53.8160 53.8160i −0.456068 0.456068i
\(119\) 12.0110 117.986i 0.100933 0.991476i
\(120\) −11.9149 40.7190i −0.0992910 0.339325i
\(121\) 112.265 + 194.449i 0.927811 + 1.60701i
\(122\) −53.9959 + 14.4682i −0.442589 + 0.118591i
\(123\) 28.2095 74.6640i 0.229346 0.607024i
\(124\) −3.15654 5.46728i −0.0254559 0.0440910i
\(125\) 50.7958 114.214i 0.406366 0.913710i
\(126\) −86.8841 + 19.7270i −0.689556 + 0.156564i
\(127\) −150.405 150.405i −1.18429 1.18429i −0.978621 0.205670i \(-0.934063\pi\)
−0.205670 0.978621i \(-0.565937\pi\)
\(128\) 2.92820 10.9282i 0.0228766 0.0853766i
\(129\) 44.2138 + 97.9116i 0.342743 + 0.759005i
\(130\) −109.963 + 44.4453i −0.845871 + 0.341887i
\(131\) −71.2724 123.447i −0.544064 0.942347i −0.998665 0.0516519i \(-0.983551\pi\)
0.454601 0.890695i \(-0.349782\pi\)
\(132\) −110.064 + 18.0285i −0.833817 + 0.136579i
\(133\) 28.5982 4.62539i 0.215024 0.0347773i
\(134\) −69.4408 −0.518215
\(135\) −45.9846 126.927i −0.340627 0.940199i
\(136\) 41.4997 + 23.9599i 0.305145 + 0.176176i
\(137\) 8.73481 + 32.5988i 0.0637578 + 0.237947i 0.990450 0.137875i \(-0.0440271\pi\)
−0.926692 + 0.375822i \(0.877360\pi\)
\(138\) −56.5547 69.0903i −0.409816 0.500654i
\(139\) 94.6346 0.680825 0.340412 0.940276i \(-0.389433\pi\)
0.340412 + 0.940276i \(0.389433\pi\)
\(140\) −36.2567 59.8787i −0.258976 0.427705i
\(141\) 123.714 + 88.8893i 0.877402 + 0.630421i
\(142\) −29.7372 + 110.981i −0.209417 + 0.781556i
\(143\) 80.6974 + 301.167i 0.564317 + 2.10606i
\(144\) 7.11266 35.2904i 0.0493935 0.245072i
\(145\) −34.4206 + 245.156i −0.237383 + 1.69073i
\(146\) 0.586403 0.00401646
\(147\) −130.180 + 68.2795i −0.885580 + 0.464486i
\(148\) 44.3728 44.3728i 0.299816 0.299816i
\(149\) −143.957 249.340i −0.966152 1.67343i −0.706486 0.707727i \(-0.749721\pi\)
−0.259666 0.965698i \(-0.583613\pi\)
\(150\) 83.2175 65.7635i 0.554784 0.438424i
\(151\) −11.7834 + 20.4094i −0.0780356 + 0.135162i −0.902402 0.430894i \(-0.858198\pi\)
0.824367 + 0.566056i \(0.191531\pi\)
\(152\) −3.02963 + 11.3067i −0.0199318 + 0.0743864i
\(153\) 136.584 + 67.7863i 0.892704 + 0.443047i
\(154\) −167.862 + 75.3952i −1.09001 + 0.489579i
\(155\) 9.71510 12.4382i 0.0626781 0.0802467i
\(156\) −100.143 9.99130i −0.641942 0.0640468i
\(157\) 65.0378 + 242.724i 0.414253 + 1.54601i 0.786327 + 0.617811i \(0.211980\pi\)
−0.372073 + 0.928203i \(0.621353\pi\)
\(158\) 184.729 49.4981i 1.16917 0.313279i
\(159\) −11.6535 + 116.803i −0.0732925 + 0.734612i
\(160\) 28.0730 3.45078i 0.175456 0.0215674i
\(161\) −119.462 86.1987i −0.741997 0.535396i
\(162\) 15.5271 113.494i 0.0958463 0.700581i
\(163\) −136.428 36.5558i −0.836982 0.224269i −0.185224 0.982696i \(-0.559301\pi\)
−0.651757 + 0.758428i \(0.725968\pi\)
\(164\) 46.0814 + 26.6051i 0.280984 + 0.162226i
\(165\) −144.898 238.220i −0.878170 1.44376i
\(166\) 47.6752 27.5253i 0.287200 0.165815i
\(167\) 77.3220 + 77.3220i 0.463006 + 0.463006i 0.899640 0.436633i \(-0.143829\pi\)
−0.436633 + 0.899640i \(0.643829\pi\)
\(168\) −3.61545 59.2868i −0.0215205 0.352898i
\(169\) 112.346i 0.664768i
\(170\) −16.6568 + 118.636i −0.0979813 + 0.697858i
\(171\) −7.35904 + 36.5128i −0.0430353 + 0.213525i
\(172\) −69.1806 + 18.5369i −0.402213 + 0.107773i
\(173\) 75.0415 + 20.1073i 0.433766 + 0.116227i 0.469094 0.883149i \(-0.344581\pi\)
−0.0353274 + 0.999376i \(0.511247\pi\)
\(174\) −122.572 + 170.593i −0.704439 + 0.980419i
\(175\) 104.822 140.133i 0.598985 0.800760i
\(176\) 74.3538i 0.422465i
\(177\) 124.931 102.263i 0.705823 0.577759i
\(178\) 32.0010 8.57464i 0.179781 0.0481721i
\(179\) −4.53723 + 7.85871i −0.0253476 + 0.0439034i −0.878421 0.477888i \(-0.841403\pi\)
0.853073 + 0.521791i \(0.174736\pi\)
\(180\) 88.4605 16.5751i 0.491447 0.0920839i
\(181\) 334.141i 1.84608i 0.384700 + 0.923041i \(0.374305\pi\)
−0.384700 + 0.923041i \(0.625695\pi\)
\(182\) −163.918 + 26.5115i −0.900647 + 0.145668i
\(183\) −19.1685 117.024i −0.104746 0.639474i
\(184\) 51.5490 29.7618i 0.280158 0.161749i
\(185\) 144.419 + 61.2790i 0.780641 + 0.331238i
\(186\) 12.2053 5.51154i 0.0656200 0.0296319i
\(187\) 304.198 + 81.5096i 1.62673 + 0.435880i
\(188\) −71.8121 + 71.8121i −0.381979 + 0.381979i
\(189\) −23.3429 187.553i −0.123508 0.992344i
\(190\) −29.0454 + 3.57031i −0.152870 + 0.0187911i
\(191\) 67.4242 38.9274i 0.353006 0.203808i −0.313002 0.949752i \(-0.601335\pi\)
0.666008 + 0.745944i \(0.268001\pi\)
\(192\) 22.4510 + 8.48244i 0.116932 + 0.0441794i
\(193\) 26.7407 + 99.7978i 0.138553 + 0.517087i 0.999958 + 0.00916808i \(0.00291833\pi\)
−0.861405 + 0.507919i \(0.830415\pi\)
\(194\) −86.8313 + 50.1321i −0.447584 + 0.258413i
\(195\) −70.6588 241.475i −0.362353 1.23833i
\(196\) −30.8923 93.0036i −0.157614 0.474508i
\(197\) 94.6311 94.6311i 0.480361 0.480361i −0.424886 0.905247i \(-0.639686\pi\)
0.905247 + 0.424886i \(0.139686\pi\)
\(198\) −14.8758 236.124i −0.0751304 1.19255i
\(199\) 126.403 218.937i 0.635193 1.10019i −0.351281 0.936270i \(-0.614254\pi\)
0.986474 0.163917i \(-0.0524129\pi\)
\(200\) 34.2979 + 61.8357i 0.171490 + 0.309178i
\(201\) 14.6242 146.579i 0.0727572 0.729247i
\(202\) 13.0257 13.0257i 0.0644839 0.0644839i
\(203\) −123.146 + 323.968i −0.606633 + 1.59590i
\(204\) −59.3153 + 82.5534i −0.290761 + 0.404674i
\(205\) −18.4958 + 131.733i −0.0902232 + 0.642602i
\(206\) 32.0130 55.4481i 0.155403 0.269166i
\(207\) 157.749 104.827i 0.762072 0.506413i
\(208\) 17.3651 64.8073i 0.0834859 0.311574i
\(209\) 76.9293i 0.368083i
\(210\) 134.030 63.9217i 0.638238 0.304389i
\(211\) −274.559 −1.30123 −0.650614 0.759409i \(-0.725488\pi\)
−0.650614 + 0.759409i \(0.725488\pi\)
\(212\) −75.5890 20.2540i −0.356552 0.0955377i
\(213\) −228.000 86.1431i −1.07042 0.404428i
\(214\) 238.319 + 137.594i 1.11364 + 0.642960i
\(215\) −107.776 142.983i −0.501283 0.665038i
\(216\) 72.9944 + 22.4458i 0.337937 + 0.103916i
\(217\) 17.1261 13.9614i 0.0789220 0.0643380i
\(218\) −9.94478 9.94478i −0.0456183 0.0456183i
\(219\) −0.123496 + 1.23780i −0.000563909 + 0.00565207i
\(220\) 172.340 69.6568i 0.783362 0.316622i
\(221\) 246.105 + 142.089i 1.11360 + 0.642936i
\(222\) 84.3190 + 103.009i 0.379816 + 0.464004i
\(223\) 87.9432 + 87.9432i 0.394364 + 0.394364i 0.876240 0.481875i \(-0.160044\pi\)
−0.481875 + 0.876240i \(0.660044\pi\)
\(224\) 39.3944 + 4.01038i 0.175868 + 0.0179035i
\(225\) 121.291 + 189.509i 0.539070 + 0.842261i
\(226\) 22.6574 + 39.2439i 0.100254 + 0.173645i
\(227\) 55.9199 14.9837i 0.246343 0.0660074i −0.133535 0.991044i \(-0.542633\pi\)
0.379878 + 0.925037i \(0.375966\pi\)
\(228\) −23.2287 8.77626i −0.101880 0.0384924i
\(229\) −171.391 296.858i −0.748432 1.29632i −0.948574 0.316556i \(-0.897474\pi\)
0.200142 0.979767i \(-0.435860\pi\)
\(230\) 117.276 + 91.6002i 0.509894 + 0.398262i
\(231\) −123.796 370.207i −0.535912 1.60263i
\(232\) −99.0241 99.0241i −0.426828 0.426828i
\(233\) 63.7225 237.816i 0.273487 1.02067i −0.683361 0.730080i \(-0.739483\pi\)
0.956848 0.290588i \(-0.0938507\pi\)
\(234\) 42.1801 209.282i 0.180257 0.894367i
\(235\) −233.724 99.1727i −0.994571 0.422011i
\(236\) 53.8160 + 93.2121i 0.228034 + 0.394966i
\(237\) 65.5787 + 400.358i 0.276703 + 1.68928i
\(238\) −59.5931 + 156.775i −0.250391 + 0.658718i
\(239\) −185.920 −0.777906 −0.388953 0.921258i \(-0.627163\pi\)
−0.388953 + 0.921258i \(0.627163\pi\)
\(240\) 1.37190 + 59.9843i 0.00571625 + 0.249935i
\(241\) −155.651 89.8649i −0.645853 0.372883i 0.141013 0.990008i \(-0.454964\pi\)
−0.786866 + 0.617124i \(0.788298\pi\)
\(242\) −82.1837 306.714i −0.339602 1.26741i
\(243\) 236.298 + 56.6770i 0.972420 + 0.233239i
\(244\) 79.0555 0.323998
\(245\) 186.626 158.732i 0.761739 0.647884i
\(246\) −65.8638 + 91.6674i −0.267739 + 0.372632i
\(247\) −17.9666 + 67.0521i −0.0727391 + 0.271466i
\(248\) 2.31074 + 8.62382i 0.00931752 + 0.0347734i
\(249\) 48.0611 + 106.432i 0.193017 + 0.427436i
\(250\) −111.193 + 137.426i −0.444774 + 0.549706i
\(251\) 75.0519 0.299012 0.149506 0.988761i \(-0.452232\pi\)
0.149506 + 0.988761i \(0.452232\pi\)
\(252\) 125.906 + 4.85413i 0.499629 + 0.0192624i
\(253\) 276.613 276.613i 1.09333 1.09333i
\(254\) 150.405 + 260.509i 0.592146 + 1.02563i
\(255\) −246.913 60.1445i −0.968288 0.235861i
\(256\) −8.00000 + 13.8564i −0.0312500 + 0.0541266i
\(257\) −51.0428 + 190.494i −0.198610 + 0.741223i 0.792692 + 0.609622i \(0.208679\pi\)
−0.991303 + 0.131602i \(0.957988\pi\)
\(258\) −24.5590 149.933i −0.0951900 0.581136i
\(259\) 178.109 + 128.516i 0.687679 + 0.496202i
\(260\) 166.481 20.4641i 0.640310 0.0787081i
\(261\) −334.281 294.658i −1.28077 1.12896i
\(262\) 52.1750 + 194.720i 0.199141 + 0.743206i
\(263\) −407.787 + 109.266i −1.55052 + 0.415461i −0.929648 0.368449i \(-0.879889\pi\)
−0.620874 + 0.783910i \(0.713222\pi\)
\(264\) 156.949 + 15.6588i 0.594504 + 0.0593138i
\(265\) −23.8686 194.177i −0.0900702 0.732744i
\(266\) −40.7589 4.14929i −0.153229 0.0155988i
\(267\) 11.3603 + 69.3548i 0.0425480 + 0.259756i
\(268\) 94.8580 + 25.4171i 0.353948 + 0.0948400i
\(269\) −26.6255 15.3722i −0.0989796 0.0571459i 0.449693 0.893183i \(-0.351533\pi\)
−0.548673 + 0.836037i \(0.684867\pi\)
\(270\) 16.3577 + 190.217i 0.0605840 + 0.704507i
\(271\) −171.601 + 99.0739i −0.633214 + 0.365586i −0.781996 0.623284i \(-0.785798\pi\)
0.148782 + 0.988870i \(0.452465\pi\)
\(272\) −47.9198 47.9198i −0.176176 0.176176i
\(273\) −21.4406 351.588i −0.0785371 1.28787i
\(274\) 47.7279i 0.174189i
\(275\) 322.906 + 334.198i 1.17420 + 1.21526i
\(276\) 51.9663 + 115.080i 0.188284 + 0.416955i
\(277\) 131.177 35.1489i 0.473564 0.126891i −0.0141400 0.999900i \(-0.504501\pi\)
0.487704 + 0.873009i \(0.337834\pi\)
\(278\) −129.273 34.6387i −0.465012 0.124600i
\(279\) 9.06355 + 26.9242i 0.0324858 + 0.0965025i
\(280\) 27.6104 + 95.0666i 0.0986087 + 0.339524i
\(281\) 132.622i 0.471966i 0.971757 + 0.235983i \(0.0758309\pi\)
−0.971757 + 0.235983i \(0.924169\pi\)
\(282\) −136.460 166.707i −0.483902 0.591161i
\(283\) −242.451 + 64.9646i −0.856718 + 0.229557i −0.660336 0.750971i \(-0.729586\pi\)
−0.196382 + 0.980527i \(0.562919\pi\)
\(284\) 81.2437 140.718i 0.286069 0.495486i
\(285\) −1.41942 62.0621i −0.00498042 0.217762i
\(286\) 440.939i 1.54174i
\(287\) −66.1723 + 174.083i −0.230565 + 0.606562i
\(288\) −22.6333 + 45.6041i −0.0785877 + 0.158348i
\(289\) −1.69906 + 0.980951i −0.00587909 + 0.00339429i
\(290\) 136.753 322.290i 0.471560 1.11134i
\(291\) −87.5342 193.845i −0.300805 0.666134i
\(292\) −0.801041 0.214638i −0.00274329 0.000735063i
\(293\) −47.5472 + 47.5472i −0.162277 + 0.162277i −0.783575 0.621298i \(-0.786606\pi\)
0.621298 + 0.783575i \(0.286606\pi\)
\(294\) 202.822 45.6222i 0.689869 0.155178i
\(295\) −165.634 + 212.060i −0.561470 + 0.718849i
\(296\) −76.8560 + 44.3728i −0.259649 + 0.149908i
\(297\) 501.553 + 18.3271i 1.68873 + 0.0617073i
\(298\) 105.384 + 393.297i 0.353636 + 1.31979i
\(299\) 305.700 176.496i 1.02241 0.590288i
\(300\) −137.748 + 59.3749i −0.459161 + 0.197916i
\(301\) −102.706 228.667i −0.341216 0.759692i
\(302\) 23.5668 23.5668i 0.0780356 0.0780356i
\(303\) 24.7520 + 30.2385i 0.0816899 + 0.0997969i
\(304\) 8.27711 14.3364i 0.0272273 0.0471591i
\(305\) 74.0615 + 183.237i 0.242825 + 0.600778i
\(306\) −161.765 142.591i −0.528645 0.465983i
\(307\) 31.3108 31.3108i 0.101989 0.101989i −0.654271 0.756260i \(-0.727024\pi\)
0.756260 + 0.654271i \(0.227024\pi\)
\(308\) 256.900 41.5501i 0.834090 0.134903i
\(309\) 110.300 + 79.2516i 0.356959 + 0.256478i
\(310\) −17.8238 + 13.4350i −0.0574961 + 0.0433386i
\(311\) −205.600 + 356.110i −0.661094 + 1.14505i 0.319235 + 0.947676i \(0.396574\pi\)
−0.980329 + 0.197372i \(0.936759\pi\)
\(312\) 133.141 + 50.3033i 0.426733 + 0.161228i
\(313\) −8.46338 + 31.5858i −0.0270396 + 0.100913i −0.978127 0.208009i \(-0.933302\pi\)
0.951087 + 0.308922i \(0.0999683\pi\)
\(314\) 355.373i 1.13176i
\(315\) 106.702 + 296.378i 0.338736 + 0.940881i
\(316\) −270.463 −0.855894
\(317\) 187.304 + 50.1880i 0.590864 + 0.158322i 0.541848 0.840476i \(-0.317725\pi\)
0.0490162 + 0.998798i \(0.484391\pi\)
\(318\) 58.6719 155.291i 0.184503 0.488336i
\(319\) −797.048 460.176i −2.49858 1.44256i
\(320\) −39.6115 5.56157i −0.123786 0.0173799i
\(321\) −340.628 + 474.076i −1.06115 + 1.47687i
\(322\) 131.637 + 161.476i 0.408809 + 0.501477i
\(323\) 49.5796 + 49.5796i 0.153497 + 0.153497i
\(324\) −62.7521 + 149.353i −0.193679 + 0.460965i
\(325\) 203.396 + 366.703i 0.625835 + 1.12832i
\(326\) 172.984 + 99.8722i 0.530625 + 0.306357i
\(327\) 23.0862 18.8975i 0.0706000 0.0577905i
\(328\) −53.2102 53.2102i −0.162226 0.162226i
\(329\) −288.248 207.988i −0.876133 0.632183i
\(330\) 110.740 + 378.451i 0.335575 + 1.14682i
\(331\) 260.407 + 451.038i 0.786728 + 1.36265i 0.927961 + 0.372677i \(0.121560\pi\)
−0.141233 + 0.989976i \(0.545107\pi\)
\(332\) −75.2005 + 20.1499i −0.226508 + 0.0606925i
\(333\) −235.193 + 156.290i −0.706284 + 0.469341i
\(334\) −77.3220 133.926i −0.231503 0.400975i
\(335\) 29.9531 + 243.676i 0.0894124 + 0.727392i
\(336\) −16.7617 + 82.3107i −0.0498860 + 0.244972i
\(337\) −341.923 341.923i −1.01461 1.01461i −0.999892 0.0147179i \(-0.995315\pi\)
−0.0147179 0.999892i \(-0.504685\pi\)
\(338\) 41.1214 153.467i 0.121661 0.454045i
\(339\) −87.6092 + 39.5615i −0.258434 + 0.116701i
\(340\) 66.1774 155.963i 0.194639 0.458714i
\(341\) 29.3375 + 50.8141i 0.0860338 + 0.149015i
\(342\) 23.4172 47.1838i 0.0684714 0.137964i
\(343\) 304.074 158.708i 0.886512 0.462705i
\(344\) 101.287 0.294440
\(345\) −218.052 + 228.259i −0.632034 + 0.661621i
\(346\) −95.1489 54.9342i −0.274997 0.158769i
\(347\) −16.0780 60.0039i −0.0463343 0.172922i 0.938881 0.344241i \(-0.111864\pi\)
−0.985216 + 0.171319i \(0.945197\pi\)
\(348\) 229.878 188.170i 0.660570 0.540717i
\(349\) 426.154 1.22107 0.610535 0.791989i \(-0.290954\pi\)
0.610535 + 0.791989i \(0.290954\pi\)
\(350\) −194.482 + 153.058i −0.555664 + 0.437308i
\(351\) 432.877 + 133.110i 1.23327 + 0.379231i
\(352\) −27.2154 + 101.569i −0.0773164 + 0.288549i
\(353\) −100.819 376.260i −0.285605 1.06589i −0.948396 0.317089i \(-0.897295\pi\)
0.662791 0.748805i \(-0.269372\pi\)
\(354\) −208.089 + 93.9666i −0.587823 + 0.265442i
\(355\) 402.273 + 56.4803i 1.13316 + 0.159099i
\(356\) −46.8527 −0.131609
\(357\) −318.377 158.808i −0.891812 0.444841i
\(358\) 9.07446 9.07446i 0.0253476 0.0253476i
\(359\) −238.699 413.439i −0.664901 1.15164i −0.979312 0.202355i \(-0.935141\pi\)
0.314412 0.949287i \(-0.398193\pi\)
\(360\) −126.906 9.73679i −0.352517 0.0270466i
\(361\) 171.936 297.802i 0.476278 0.824937i
\(362\) 122.304 456.445i 0.337857 1.26090i
\(363\) 664.732 108.883i 1.83122 0.299953i
\(364\) 233.620 + 23.7827i 0.641812 + 0.0653370i
\(365\) −0.252944 2.05776i −0.000692996 0.00563770i
\(366\) −16.6490 + 166.873i −0.0454891 + 0.455938i
\(367\) 95.0809 + 354.847i 0.259076 + 0.966885i 0.965777 + 0.259373i \(0.0835158\pi\)
−0.706701 + 0.707512i \(0.749818\pi\)
\(368\) −81.3108 + 21.7872i −0.220953 + 0.0592043i
\(369\) −179.624 158.333i −0.486787 0.429087i
\(370\) −174.850 136.570i −0.472567 0.369107i
\(371\) 27.7393 272.486i 0.0747689 0.734463i
\(372\) −18.6901 + 3.06144i −0.0502423 + 0.00822969i
\(373\) 151.528 + 40.6019i 0.406242 + 0.108852i 0.456153 0.889901i \(-0.349227\pi\)
−0.0499106 + 0.998754i \(0.515894\pi\)
\(374\) −385.708 222.688i −1.03130 0.595424i
\(375\) −266.668 263.654i −0.711115 0.703076i
\(376\) 124.382 71.8121i 0.330804 0.190990i
\(377\) −587.240 587.240i −1.55767 1.55767i
\(378\) −36.7621 + 264.746i −0.0972542 + 0.700387i
\(379\) 81.6721i 0.215494i 0.994178 + 0.107747i \(0.0343636\pi\)
−0.994178 + 0.107747i \(0.965636\pi\)
\(380\) 40.9836 + 5.75421i 0.107851 + 0.0151427i
\(381\) −581.568 + 262.618i −1.52643 + 0.689286i
\(382\) −106.352 + 28.4968i −0.278407 + 0.0745990i
\(383\) 62.1694 + 16.6583i 0.162322 + 0.0434941i 0.339065 0.940763i \(-0.389889\pi\)
−0.176743 + 0.984257i \(0.556556\pi\)
\(384\) −27.5639 19.8049i −0.0717809 0.0515752i
\(385\) 336.978 + 556.525i 0.875267 + 1.44552i
\(386\) 146.114i 0.378534i
\(387\) 321.657 20.2644i 0.831155 0.0523628i
\(388\) 136.963 36.6992i 0.352998 0.0945857i
\(389\) −219.583 + 380.329i −0.564481 + 0.977710i 0.432616 + 0.901578i \(0.357590\pi\)
−0.997098 + 0.0761323i \(0.975743\pi\)
\(390\) 8.13575 + 355.724i 0.0208609 + 0.912112i
\(391\) 356.545i 0.911880i
\(392\) 8.15797 + 138.353i 0.0208112 + 0.352940i
\(393\) −422.011 + 69.1253i −1.07382 + 0.175891i
\(394\) −163.906 + 94.6311i −0.416005 + 0.240181i
\(395\) −253.377 626.887i −0.641462 1.58706i
\(396\) −66.1067 + 327.996i −0.166936 + 0.828274i
\(397\) −568.946 152.449i −1.43311 0.384001i −0.542996 0.839735i \(-0.682710\pi\)
−0.890116 + 0.455734i \(0.849377\pi\)
\(398\) −252.807 + 252.807i −0.635193 + 0.635193i
\(399\) 17.3423 85.1618i 0.0434644 0.213438i
\(400\) −24.2184 97.0230i −0.0605461 0.242558i
\(401\) −399.245 + 230.504i −0.995623 + 0.574823i −0.906950 0.421237i \(-0.861596\pi\)
−0.0886729 + 0.996061i \(0.528263\pi\)
\(402\) −73.6285 + 194.877i −0.183155 + 0.484769i
\(403\) 13.7034 + 51.1416i 0.0340034 + 0.126902i
\(404\) −22.5612 + 13.0257i −0.0558447 + 0.0322419i
\(405\) −404.962 5.53107i −0.999907 0.0136570i
\(406\) 286.802 397.474i 0.706409 0.979001i
\(407\) −412.411 + 412.411i −1.01329 + 1.01329i
\(408\) 111.243 91.0591i 0.272654 0.223184i
\(409\) −28.2219 + 48.8817i −0.0690021 + 0.119515i −0.898462 0.439051i \(-0.855315\pi\)
0.829460 + 0.558566i \(0.188648\pi\)
\(410\) 73.4835 173.181i 0.179228 0.422393i
\(411\) 100.746 + 10.0515i 0.245124 + 0.0244561i
\(412\) −64.0259 + 64.0259i −0.155403 + 0.155403i
\(413\) −291.984 + 238.028i −0.706983 + 0.576339i
\(414\) −253.859 + 85.4569i −0.613185 + 0.206418i
\(415\) −117.154 155.425i −0.282299 0.374518i
\(416\) −47.4422 + 82.1724i −0.114044 + 0.197530i
\(417\) 100.342 265.580i 0.240627 0.636883i
\(418\) 28.1581 105.087i 0.0673638 0.251405i
\(419\) 44.8421i 0.107022i 0.998567 + 0.0535108i \(0.0170412\pi\)
−0.998567 + 0.0535108i \(0.982959\pi\)
\(420\) −206.485 + 38.2603i −0.491632 + 0.0910959i
\(421\) −100.693 −0.239175 −0.119588 0.992824i \(-0.538157\pi\)
−0.119588 + 0.992824i \(0.538157\pi\)
\(422\) 375.055 + 100.496i 0.888755 + 0.238141i
\(423\) 380.631 252.937i 0.899837 0.597961i
\(424\) 95.8430 + 55.3350i 0.226045 + 0.130507i
\(425\) 423.492 + 7.27754i 0.996453 + 0.0171236i
\(426\) 279.924 + 201.128i 0.657098 + 0.472130i
\(427\) 44.1775 + 273.145i 0.103460 + 0.639683i
\(428\) −275.187 275.187i −0.642960 0.642960i
\(429\) 930.751 + 92.8614i 2.16958 + 0.216460i
\(430\) 94.8891 + 234.767i 0.220672 + 0.545971i
\(431\) 72.4981 + 41.8568i 0.168209 + 0.0971156i 0.581741 0.813374i \(-0.302372\pi\)
−0.413532 + 0.910490i \(0.635705\pi\)
\(432\) −91.4965 57.3794i −0.211797 0.132823i
\(433\) −372.450 372.450i −0.860161 0.860161i 0.131196 0.991357i \(-0.458118\pi\)
−0.991357 + 0.131196i \(0.958118\pi\)
\(434\) −28.5049 + 12.8030i −0.0656794 + 0.0295000i
\(435\) 651.503 + 356.537i 1.49771 + 0.819625i
\(436\) 9.94478 + 17.2249i 0.0228091 + 0.0395066i
\(437\) 84.1273 22.5418i 0.192511 0.0515832i
\(438\) 0.621766 1.64567i 0.00141956 0.00375723i
\(439\) 132.970 + 230.312i 0.302894 + 0.524628i 0.976790 0.214198i \(-0.0687139\pi\)
−0.673896 + 0.738826i \(0.735381\pi\)
\(440\) −260.916 + 32.0723i −0.592992 + 0.0728916i
\(441\) 53.5871 + 437.732i 0.121513 + 0.992590i
\(442\) −284.178 284.178i −0.642936 0.642936i
\(443\) −148.820 + 555.402i −0.335936 + 1.25373i 0.566915 + 0.823776i \(0.308137\pi\)
−0.902851 + 0.429954i \(0.858530\pi\)
\(444\) −77.4781 171.576i −0.174500 0.386431i
\(445\) −43.8930 108.597i −0.0986360 0.244038i
\(446\) −87.9432 152.322i −0.197182 0.341529i
\(447\) −852.381 + 139.620i −1.90689 + 0.312349i
\(448\) −52.3458 19.8976i −0.116843 0.0444143i
\(449\) 237.928 0.529906 0.264953 0.964261i \(-0.414644\pi\)
0.264953 + 0.964261i \(0.414644\pi\)
\(450\) −96.3213 303.269i −0.214047 0.673932i
\(451\) −428.291 247.274i −0.949647 0.548279i
\(452\) −16.5864 61.9013i −0.0366956 0.136950i
\(453\) 44.7825 + 54.7088i 0.0988577 + 0.120770i
\(454\) −81.8724 −0.180336
\(455\) 163.738 + 563.772i 0.359863 + 1.23906i
\(456\) 28.5186 + 20.4909i 0.0625409 + 0.0449362i
\(457\) 225.617 842.012i 0.493690 1.84248i −0.0435541 0.999051i \(-0.513868\pi\)
0.537244 0.843427i \(-0.319465\pi\)
\(458\) 125.467 + 468.249i 0.273945 + 1.02238i
\(459\) 335.054 311.431i 0.729966 0.678499i
\(460\) −126.673 168.054i −0.275377 0.365335i
\(461\) 713.872 1.54853 0.774264 0.632862i \(-0.218120\pi\)
0.774264 + 0.632862i \(0.218120\pi\)
\(462\) 33.6028 + 551.025i 0.0727333 + 1.19269i
\(463\) 308.178 308.178i 0.665611 0.665611i −0.291086 0.956697i \(-0.594017\pi\)
0.956697 + 0.291086i \(0.0940166\pi\)
\(464\) 99.0241 + 171.515i 0.213414 + 0.369644i
\(465\) −24.6054 40.4526i −0.0529148 0.0869948i
\(466\) −174.093 + 301.538i −0.373590 + 0.647078i
\(467\) 7.58452 28.3058i 0.0162409 0.0606120i −0.957330 0.288998i \(-0.906678\pi\)
0.973571 + 0.228386i \(0.0733447\pi\)
\(468\) −134.222 + 270.445i −0.286798 + 0.577874i
\(469\) −34.8105 + 341.947i −0.0742228 + 0.729099i
\(470\) 282.973 + 221.021i 0.602071 + 0.470258i
\(471\) 750.136 + 74.8413i 1.59264 + 0.158899i
\(472\) −39.3961 147.028i −0.0834662 0.311500i
\(473\) 642.980 172.286i 1.35937 0.364241i
\(474\) 56.9592 570.903i 0.120167 1.20444i
\(475\) 25.0573 + 100.384i 0.0527522 + 0.211334i
\(476\) 138.789 192.346i 0.291574 0.404088i
\(477\) 315.438 + 156.551i 0.661295 + 0.328200i
\(478\) 253.971 + 68.0513i 0.531320 + 0.142367i
\(479\) −307.185 177.353i −0.641304 0.370257i 0.143813 0.989605i \(-0.454064\pi\)
−0.785117 + 0.619348i \(0.787397\pi\)
\(480\) 20.0817 82.4422i 0.0418369 0.171755i
\(481\) −455.777 + 263.143i −0.947562 + 0.547075i
\(482\) 179.730 + 179.730i 0.372883 + 0.372883i
\(483\) −368.572 + 243.857i −0.763089 + 0.504880i
\(484\) 449.060i 0.927811i
\(485\) 213.374 + 283.077i 0.439947 + 0.583665i
\(486\) −302.044 163.913i −0.621489 0.337270i
\(487\) 315.298 84.4839i 0.647429 0.173478i 0.0798630 0.996806i \(-0.474552\pi\)
0.567566 + 0.823328i \(0.307885\pi\)
\(488\) −107.992 28.9363i −0.221295 0.0592957i
\(489\) −247.245 + 344.108i −0.505613 + 0.703698i
\(490\) −313.036 + 148.522i −0.638848 + 0.303105i
\(491\) 59.9040i 0.122004i −0.998138 0.0610020i \(-0.980570\pi\)
0.998138 0.0610020i \(-0.0194296\pi\)
\(492\) 123.524 101.112i 0.251066 0.205513i
\(493\) −810.260 + 217.108i −1.64353 + 0.440382i
\(494\) 49.0856 85.0187i 0.0993635 0.172103i
\(495\) −822.172 + 154.053i −1.66095 + 0.311217i
\(496\) 12.6261i 0.0254559i
\(497\) 531.596 + 202.069i 1.06961 + 0.406578i
\(498\) −26.6961 162.980i −0.0536066 0.327269i
\(499\) −158.397 + 91.4504i −0.317428 + 0.183267i −0.650246 0.759724i \(-0.725334\pi\)
0.332817 + 0.942991i \(0.392001\pi\)
\(500\) 202.195 147.028i 0.404389 0.294057i
\(501\) 298.980 135.010i 0.596766 0.269481i
\(502\) −102.523 27.4709i −0.204229 0.0547229i
\(503\) 347.910 347.910i 0.691671 0.691671i −0.270929 0.962599i \(-0.587331\pi\)
0.962599 + 0.270929i \(0.0873308\pi\)
\(504\) −170.215 52.7158i −0.337728 0.104595i
\(505\) −51.3275 40.0903i −0.101639 0.0793867i
\(506\) −479.108 + 276.613i −0.946853 + 0.546666i
\(507\) 315.285 + 119.121i 0.621863 + 0.234952i
\(508\) −110.104 410.914i −0.216740 0.808886i
\(509\) 651.706 376.263i 1.28037 0.739219i 0.303450 0.952847i \(-0.401861\pi\)
0.976915 + 0.213628i \(0.0685280\pi\)
\(510\) 315.276 + 172.535i 0.618187 + 0.338305i
\(511\) 0.293962 2.88762i 0.000575268 0.00565092i
\(512\) 16.0000 16.0000i 0.0312500 0.0312500i
\(513\) 94.6658 + 59.3669i 0.184534 + 0.115725i
\(514\) 139.452 241.537i 0.271307 0.469917i
\(515\) −208.383 88.4200i −0.404627 0.171689i
\(516\) −21.3311 + 213.802i −0.0413393 + 0.414344i
\(517\) 667.437 667.437i 1.29098 1.29098i
\(518\) −196.261 240.749i −0.378882 0.464766i
\(519\) 135.996 189.275i 0.262034 0.364692i
\(520\) −234.907 32.9817i −0.451745 0.0634263i
\(521\) −75.4946 + 130.760i −0.144903 + 0.250980i −0.929337 0.369233i \(-0.879620\pi\)
0.784434 + 0.620213i \(0.212954\pi\)
\(522\) 348.784 + 524.865i 0.668168 + 1.00549i
\(523\) 135.847 506.986i 0.259745 0.969381i −0.705644 0.708566i \(-0.749342\pi\)
0.965389 0.260815i \(-0.0839911\pi\)
\(524\) 285.090i 0.544064i
\(525\) −282.122 442.755i −0.537376 0.843343i
\(526\) 597.042 1.13506
\(527\) 51.6564 + 13.8413i 0.0980198 + 0.0262643i
\(528\) −208.665 78.8377i −0.395198 0.149314i
\(529\) 74.5794 + 43.0584i 0.140982 + 0.0813959i
\(530\) −38.4686 + 273.987i −0.0725823 + 0.516957i
\(531\) −154.525 459.033i −0.291008 0.864469i
\(532\) 54.1590 + 20.5868i 0.101803 + 0.0386971i
\(533\) −315.551 315.551i −0.592029 0.592029i
\(534\) 9.86715 98.8986i 0.0184778 0.185203i
\(535\) 380.034 895.641i 0.710344 1.67410i
\(536\) −120.275 69.4408i −0.224394 0.129554i
\(537\) 17.2437 + 21.0658i 0.0321111 + 0.0392287i
\(538\) 30.7445 + 30.7445i 0.0571459 + 0.0571459i
\(539\) 287.120 + 864.396i 0.532690 + 1.60370i
\(540\) 47.2792 265.828i 0.0875540 0.492275i
\(541\) −241.371 418.067i −0.446157 0.772767i 0.551975 0.833861i \(-0.313875\pi\)
−0.998132 + 0.0610936i \(0.980541\pi\)
\(542\) 270.675 72.5271i 0.499400 0.133814i
\(543\) 937.726 + 354.291i 1.72693 + 0.652470i
\(544\) 47.9198 + 82.9995i 0.0880878 + 0.152573i
\(545\) −30.6078 + 39.1871i −0.0561611 + 0.0719030i
\(546\) −99.4015 + 488.125i −0.182054 + 0.894002i
\(547\) 488.174 + 488.174i 0.892457 + 0.892457i 0.994754 0.102297i \(-0.0326191\pi\)
−0.102297 + 0.994754i \(0.532619\pi\)
\(548\) −17.4696 + 65.1975i −0.0318789 + 0.118974i
\(549\) −348.737 70.2869i −0.635222 0.128027i
\(550\) −318.773 574.714i −0.579587 1.04494i
\(551\) −102.454 177.456i −0.185942 0.322061i
\(552\) −28.8652 176.223i −0.0522921 0.319244i
\(553\) −151.139 934.475i −0.273307 1.68983i
\(554\) −192.057 −0.346673
\(555\) 325.100 340.318i 0.585765 0.613186i
\(556\) 163.912 + 94.6346i 0.294806 + 0.170206i
\(557\) −120.019 447.919i −0.215475 0.804163i −0.985999 0.166752i \(-0.946672\pi\)
0.770524 0.637411i \(-0.219995\pi\)
\(558\) −2.52609 40.0966i −0.00452704 0.0718578i
\(559\) 600.663 1.07453
\(560\) −2.91977 139.970i −0.00521387 0.249946i
\(561\) 551.290 767.270i 0.982691 1.36768i
\(562\) 48.5431 181.165i 0.0863757 0.322358i
\(563\) 214.711 + 801.314i 0.381370 + 1.42329i 0.843810 + 0.536642i \(0.180308\pi\)
−0.462440 + 0.886651i \(0.653026\pi\)
\(564\) 125.389 + 277.674i 0.222321 + 0.492331i
\(565\) 127.938 96.4355i 0.226439 0.170682i
\(566\) 354.973 0.627161
\(567\) −551.095 133.354i −0.971949 0.235193i
\(568\) −162.487 + 162.487i −0.286069 + 0.286069i
\(569\) −231.074 400.231i −0.406105 0.703394i 0.588345 0.808610i \(-0.299780\pi\)
−0.994449 + 0.105216i \(0.966447\pi\)
\(570\) −20.7773 + 85.2979i −0.0364515 + 0.149645i
\(571\) −536.808 + 929.779i −0.940119 + 1.62833i −0.174879 + 0.984590i \(0.555953\pi\)
−0.765240 + 0.643745i \(0.777380\pi\)
\(572\) −161.395 + 602.333i −0.282159 + 1.05303i
\(573\) −37.7547 230.492i −0.0658894 0.402256i
\(574\) 154.112 213.581i 0.268488 0.372093i
\(575\) 270.850 451.046i 0.471043 0.784428i
\(576\) 47.6099 54.0120i 0.0826560 0.0937709i
\(577\) 173.892 + 648.972i 0.301372 + 1.12473i 0.936024 + 0.351937i \(0.114477\pi\)
−0.634652 + 0.772798i \(0.718857\pi\)
\(578\) 2.68001 0.718106i 0.00463669 0.00124240i
\(579\) 308.424 + 30.7715i 0.532683 + 0.0531460i
\(580\) −304.774 + 390.201i −0.525472 + 0.672761i
\(581\) −111.643 248.565i −0.192157 0.427823i
\(582\) 48.6218 + 296.837i 0.0835427 + 0.510029i
\(583\) 702.540 + 188.245i 1.20504 + 0.322890i
\(584\) 1.01568 + 0.586403i 0.00173918 + 0.00100411i
\(585\) −752.590 57.7419i −1.28648 0.0987041i
\(586\) 82.3542 47.5472i 0.140536 0.0811386i
\(587\) −162.434 162.434i −0.276719 0.276719i 0.555079 0.831798i \(-0.312688\pi\)
−0.831798 + 0.555079i \(0.812688\pi\)
\(588\) −293.758 11.9168i −0.499589 0.0202666i
\(589\) 13.0635i 0.0221791i
\(590\) 303.879 229.054i 0.515049 0.388227i
\(591\) −165.233 365.909i −0.279582 0.619135i
\(592\) 121.229 32.4832i 0.204778 0.0548702i
\(593\) 265.648 + 71.1803i 0.447974 + 0.120034i 0.475751 0.879580i \(-0.342176\pi\)
−0.0277775 + 0.999614i \(0.508843\pi\)
\(594\) −678.426 208.616i −1.14213 0.351206i
\(595\) 575.848 + 141.495i 0.967812 + 0.237807i
\(596\) 575.827i 0.966152i
\(597\) −480.394 586.876i −0.804680 0.983042i
\(598\) −482.196 + 129.204i −0.806348 + 0.216060i
\(599\) −383.068 + 663.494i −0.639513 + 1.10767i 0.346027 + 0.938225i \(0.387531\pi\)
−0.985540 + 0.169444i \(0.945803\pi\)
\(600\) 209.901 30.6883i 0.349834 0.0511471i
\(601\) 229.955i 0.382621i −0.981530 0.191311i \(-0.938726\pi\)
0.981530 0.191311i \(-0.0612737\pi\)
\(602\) 56.6011 + 349.958i 0.0940218 + 0.581326i
\(603\) −395.849 196.459i −0.656465 0.325803i
\(604\) −40.8188 + 23.5668i −0.0675808 + 0.0390178i
\(605\) −1040.85 + 420.693i −1.72041 + 0.695360i
\(606\) −22.7439 50.3664i −0.0375312 0.0831129i
\(607\) −1111.47 297.819i −1.83110 0.490640i −0.833053 0.553193i \(-0.813409\pi\)
−0.998042 + 0.0625521i \(0.980076\pi\)
\(608\) −16.5542 + 16.5542i −0.0272273 + 0.0272273i
\(609\) 778.605 + 689.101i 1.27850 + 1.13153i
\(610\) −34.1004 277.415i −0.0559023 0.454779i
\(611\) 737.621 425.866i 1.20724 0.696998i
\(612\) 168.784 + 253.993i 0.275790 + 0.415021i
\(613\) 165.098 + 616.155i 0.269328 + 1.00515i 0.959548 + 0.281546i \(0.0908473\pi\)
−0.690220 + 0.723600i \(0.742486\pi\)
\(614\) −54.2318 + 31.3108i −0.0883254 + 0.0509947i
\(615\) 350.082 + 191.584i 0.569240 + 0.311518i
\(616\) −366.140 37.2733i −0.594383 0.0605086i
\(617\) −373.893 + 373.893i −0.605986 + 0.605986i −0.941895 0.335909i \(-0.890957\pi\)
0.335909 + 0.941895i \(0.390957\pi\)
\(618\) −121.665 148.632i −0.196869 0.240505i
\(619\) −335.003 + 580.243i −0.541201 + 0.937388i 0.457634 + 0.889140i \(0.348697\pi\)
−0.998835 + 0.0482471i \(0.984637\pi\)
\(620\) 29.2653 11.8285i 0.0472021 0.0190783i
\(621\) −126.923 553.852i −0.204386 0.891872i
\(622\) 411.200 411.200i 0.661094 0.661094i
\(623\) −26.1821 161.881i −0.0420258 0.259841i
\(624\) −163.461 117.448i −0.261957 0.188219i
\(625\) 530.209 + 330.913i 0.848335 + 0.529461i
\(626\) 23.1224 40.0491i 0.0369367 0.0639763i
\(627\) 215.893 + 81.5685i 0.344326 + 0.130093i
\(628\) −130.076 + 485.448i −0.207127 + 0.773007i
\(629\) 531.584i 0.845125i
\(630\) −37.2757 443.915i −0.0591678 0.704627i
\(631\) 104.805 0.166094 0.0830468 0.996546i \(-0.473535\pi\)
0.0830468 + 0.996546i \(0.473535\pi\)
\(632\) 369.459 + 98.9962i 0.584587 + 0.156639i
\(633\) −291.116 + 770.516i −0.459900 + 1.21725i
\(634\) −237.492 137.116i −0.374593 0.216271i
\(635\) 849.282 640.160i 1.33745 1.00813i
\(636\) −136.988 + 190.656i −0.215389 + 0.299773i
\(637\) 48.3791 + 820.470i 0.0759483 + 1.28802i
\(638\) 920.351 + 920.351i 1.44256 + 1.44256i
\(639\) −483.500 + 548.517i −0.756651 + 0.858399i
\(640\) 52.0746 + 22.0961i 0.0813666 + 0.0345251i
\(641\) −135.845 78.4299i −0.211926 0.122356i 0.390280 0.920696i \(-0.372378\pi\)
−0.602206 + 0.798341i \(0.705711\pi\)
\(642\) 638.830 522.922i 0.995062 0.814520i
\(643\) −39.2621 39.2621i −0.0610608 0.0610608i 0.675917 0.736978i \(-0.263748\pi\)
−0.736978 + 0.675917i \(0.763748\pi\)
\(644\) −120.715 268.762i −0.187445 0.417332i
\(645\) −515.540 + 150.854i −0.799287 + 0.233882i
\(646\) −49.5796 85.8745i −0.0767487 0.132933i
\(647\) −80.4669 + 21.5610i −0.124369 + 0.0333246i −0.320467 0.947260i \(-0.603840\pi\)
0.196098 + 0.980584i \(0.437173\pi\)
\(648\) 140.388 181.050i 0.216648 0.279399i
\(649\) −500.178 866.333i −0.770690 1.33487i
\(650\) −143.622 575.374i −0.220957 0.885190i
\(651\) −21.0220 62.8655i −0.0322918 0.0965676i
\(652\) −199.744 199.744i −0.306357 0.306357i
\(653\) 62.2397 232.282i 0.0953134 0.355715i −0.901753 0.432251i \(-0.857719\pi\)
0.997067 + 0.0765364i \(0.0243861\pi\)
\(654\) −38.4533 + 17.3643i −0.0587971 + 0.0265509i
\(655\) 660.790 267.081i 1.00884 0.407757i
\(656\) 53.2102 + 92.1628i 0.0811131 + 0.140492i
\(657\) 3.34280 + 1.65903i 0.00508797 + 0.00252515i
\(658\) 317.625 + 389.623i 0.482712 + 0.592132i
\(659\) −342.093 −0.519109 −0.259554 0.965728i \(-0.583576\pi\)
−0.259554 + 0.965728i \(0.583576\pi\)
\(660\) −12.7507 557.507i −0.0193193 0.844708i
\(661\) 878.546 + 507.229i 1.32912 + 0.767366i 0.985163 0.171620i \(-0.0549003\pi\)
0.343954 + 0.938987i \(0.388234\pi\)
\(662\) −190.631 711.445i −0.287963 1.07469i
\(663\) 659.701 540.006i 0.995025 0.814489i
\(664\) 110.101 0.165815
\(665\) 3.02090 + 144.818i 0.00454271 + 0.217771i
\(666\) 378.486 127.410i 0.568297 0.191307i
\(667\) −269.682 + 1006.47i −0.404320 + 1.50894i
\(668\) 56.6036 + 211.248i 0.0847360 + 0.316239i
\(669\) 340.049 153.555i 0.508294 0.229529i
\(670\) 48.2750 343.832i 0.0720522 0.513182i
\(671\) −734.759 −1.09502
\(672\) 53.0247 106.303i 0.0789058 0.158189i
\(673\) −506.413 + 506.413i −0.752471 + 0.752471i −0.974940 0.222469i \(-0.928588\pi\)
0.222469 + 0.974940i \(0.428588\pi\)
\(674\) 341.923 + 592.229i 0.507305 + 0.878678i
\(675\) 660.438 139.451i 0.978427 0.206594i
\(676\) −112.346 + 194.589i −0.166192 + 0.287853i
\(677\) −98.4123 + 367.280i −0.145365 + 0.542510i 0.854374 + 0.519659i \(0.173941\pi\)
−0.999739 + 0.0228512i \(0.992726\pi\)
\(678\) 134.157 21.9749i 0.197871 0.0324113i
\(679\) 203.337 + 452.714i 0.299465 + 0.666737i
\(680\) −147.486 + 188.826i −0.216892 + 0.277686i
\(681\) 17.2423 172.820i 0.0253190 0.253773i
\(682\) −21.4766 80.1516i −0.0314906 0.117524i
\(683\) 30.5301 8.18051i 0.0447000 0.0119773i −0.236400 0.971656i \(-0.575967\pi\)
0.281100 + 0.959679i \(0.409301\pi\)
\(684\) −49.2590 + 55.8829i −0.0720161 + 0.0817002i
\(685\) −167.483 + 20.5873i −0.244501 + 0.0300545i
\(686\) −473.463 + 105.500i −0.690180 + 0.153791i
\(687\) −1014.82 + 166.228i −1.47718 + 0.241962i
\(688\) −138.361 37.0738i −0.201106 0.0538863i
\(689\) 568.376 + 328.152i 0.824928 + 0.476273i
\(690\) 381.413 231.995i 0.552772 0.336225i
\(691\) 586.007 338.331i 0.848057 0.489626i −0.0119380 0.999929i \(-0.503800\pi\)
0.859995 + 0.510303i \(0.170467\pi\)
\(692\) 109.868 + 109.868i 0.158769 + 0.158769i
\(693\) −1170.20 45.1154i −1.68860 0.0651015i
\(694\) 87.8518i 0.126588i
\(695\) −65.7896 + 468.577i −0.0946613 + 0.674212i
\(696\) −382.895 + 172.903i −0.550136 + 0.248424i
\(697\) −435.390 + 116.662i −0.624663 + 0.167378i
\(698\) −582.137 155.983i −0.834007 0.223471i
\(699\) −599.835 430.987i −0.858133 0.616576i
\(700\) 321.691 137.895i 0.459558 0.196993i
\(701\) 537.271i 0.766435i 0.923658 + 0.383217i \(0.125184\pi\)
−0.923658 + 0.383217i \(0.874816\pi\)
\(702\) −542.600 340.276i −0.772934 0.484723i
\(703\) −125.428 + 33.6083i −0.178418 + 0.0478070i
\(704\) 74.3538 128.784i 0.105616 0.182933i
\(705\) −526.135 + 550.765i −0.746291 + 0.781226i
\(706\) 550.883i 0.780288i
\(707\) −57.6128 70.6724i −0.0814892 0.0999609i
\(708\) 318.650 52.1948i 0.450070 0.0737214i
\(709\) −712.410 + 411.310i −1.00481 + 0.580127i −0.909668 0.415336i \(-0.863664\pi\)
−0.0951423 + 0.995464i \(0.530331\pi\)
\(710\) −528.841 224.396i −0.744847 0.316050i
\(711\) 1193.09 + 240.464i 1.67805 + 0.338205i
\(712\) 64.0020 + 17.1493i 0.0898905 + 0.0240861i
\(713\) 46.9721 46.9721i 0.0658796 0.0658796i
\(714\) 376.783 + 333.470i 0.527707 + 0.467045i
\(715\) −1547.31 + 190.198i −2.16407 + 0.266011i
\(716\) −15.7174 + 9.07446i −0.0219517 + 0.0126738i
\(717\) −197.132 + 521.761i −0.274939 + 0.727699i
\(718\) 174.740 + 652.139i 0.243371 + 0.908271i
\(719\) −802.651 + 463.411i −1.11634 + 0.644521i −0.940465 0.339890i \(-0.889610\pi\)
−0.175879 + 0.984412i \(0.556277\pi\)
\(720\) 169.793 + 59.7516i 0.235824 + 0.0829884i
\(721\) −256.995 185.437i −0.356442 0.257195i
\(722\) −343.872 + 343.872i −0.476278 + 0.476278i
\(723\) −417.232 + 341.530i −0.577084 + 0.472379i
\(724\) −334.141 + 578.749i −0.461521 + 0.799377i
\(725\) −1189.94 340.862i −1.64130 0.470155i
\(726\) −947.895 94.5718i −1.30564 0.130264i
\(727\) 267.158 267.158i 0.367480 0.367480i −0.499078 0.866557i \(-0.666328\pi\)
0.866557 + 0.499078i \(0.166328\pi\)
\(728\) −310.425 117.998i −0.426408 0.162086i
\(729\) 409.605 603.046i 0.561872 0.827224i
\(730\) −0.407665 + 2.90354i −0.000558445 + 0.00397745i
\(731\) 303.354 525.425i 0.414986 0.718776i
\(732\) 83.8229 221.859i 0.114512 0.303087i
\(733\) −85.4042 + 318.733i −0.116513 + 0.434833i −0.999396 0.0347608i \(-0.988933\pi\)
0.882882 + 0.469594i \(0.155600\pi\)
\(734\) 519.532i 0.707809i
\(735\) −247.581 692.047i −0.336844 0.941560i
\(736\) 119.047 0.161749
\(737\) −881.631 236.232i −1.19624 0.320532i
\(738\) 187.418 + 282.034i 0.253953 + 0.382160i
\(739\) 109.617 + 63.2875i 0.148332 + 0.0856393i 0.572329 0.820024i \(-0.306040\pi\)
−0.423997 + 0.905663i \(0.639373\pi\)
\(740\) 188.861 + 250.557i 0.255218 + 0.338590i
\(741\) 169.124 + 121.517i 0.228237 + 0.163990i
\(742\) −137.629 + 362.069i −0.185484 + 0.487964i
\(743\) −30.4455 30.4455i −0.0409764 0.0409764i 0.686322 0.727298i \(-0.259224\pi\)
−0.727298 + 0.686322i \(0.759224\pi\)
\(744\) 26.6518 + 2.65906i 0.0358223 + 0.00357400i
\(745\) 1334.67 539.452i 1.79150 0.724096i
\(746\) −192.130 110.926i −0.257547 0.148695i
\(747\) 349.647 22.0277i 0.468068 0.0294883i
\(748\) 445.377 + 445.377i 0.595424 + 0.595424i
\(749\) 797.020 1104.58i 1.06411 1.47474i
\(750\) 267.771 + 457.765i 0.357028 + 0.610353i
\(751\) 461.384 + 799.140i 0.614359 + 1.06410i 0.990497 + 0.137537i \(0.0439186\pi\)
−0.376138 + 0.926564i \(0.622748\pi\)
\(752\) −196.194 + 52.5701i −0.260897 + 0.0699070i
\(753\) 79.5779 210.624i 0.105681 0.279713i
\(754\) 587.240 + 1017.13i 0.778833 + 1.34898i
\(755\) −92.8641 72.5332i −0.122999 0.0960704i
\(756\) 147.122 348.194i 0.194606 0.460574i
\(757\) −719.532 719.532i −0.950505 0.950505i 0.0483268 0.998832i \(-0.484611\pi\)
−0.998832 + 0.0483268i \(0.984611\pi\)
\(758\) 29.8941 111.566i 0.0394381 0.147185i
\(759\) −482.986 1069.57i −0.636345 1.40919i
\(760\) −53.8784 22.8614i −0.0708926 0.0300808i
\(761\) 89.1008 + 154.327i 0.117084 +