Properties

Label 177.2.f.a.47.8
Level $177$
Weight $2$
Character 177.47
Analytic conductor $1.413$
Analytic rank $0$
Dimension $504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(504\)
Relative dimension: \(18\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 47.8
Character \(\chi\) \(=\) 177.47
Dual form 177.2.f.a.113.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.680494 + 0.229285i) q^{2} +(-1.71998 + 0.204154i) q^{3} +(-1.18169 + 0.898294i) q^{4} +(1.34581 - 0.536219i) q^{5} +(1.12363 - 0.533291i) q^{6} +(-2.55263 - 1.18097i) q^{7} +(1.40412 - 2.07093i) q^{8} +(2.91664 - 0.702280i) q^{9} +O(q^{10})\) \(q+(-0.680494 + 0.229285i) q^{2} +(-1.71998 + 0.204154i) q^{3} +(-1.18169 + 0.898294i) q^{4} +(1.34581 - 0.536219i) q^{5} +(1.12363 - 0.533291i) q^{6} +(-2.55263 - 1.18097i) q^{7} +(1.40412 - 2.07093i) q^{8} +(2.91664 - 0.702280i) q^{9} +(-0.792867 + 0.673467i) q^{10} +(-1.16129 - 4.18258i) q^{11} +(1.84908 - 1.78629i) q^{12} +(0.962953 - 0.510526i) q^{13} +(2.00783 + 0.218365i) q^{14} +(-2.20529 + 1.19704i) q^{15} +(0.313549 - 1.12930i) q^{16} +(-1.77047 - 3.82680i) q^{17} +(-1.82374 + 1.14664i) q^{18} +(0.143458 + 0.0315776i) q^{19} +(-1.10864 + 1.84257i) q^{20} +(4.63157 + 1.51012i) q^{21} +(1.74925 + 2.57995i) q^{22} +(-1.06461 - 6.49382i) q^{23} +(-1.99227 + 3.84860i) q^{24} +(-2.10631 + 1.99520i) q^{25} +(-0.538228 + 0.568201i) q^{26} +(-4.87318 + 1.80335i) q^{27} +(4.07727 - 0.897475i) q^{28} +(-1.51224 + 4.48817i) q^{29} +(1.22622 - 1.32022i) q^{30} +(0.503659 + 2.28815i) q^{31} +(0.316481 + 5.83716i) q^{32} +(2.85127 + 6.95685i) q^{33} +(2.08222 + 2.19818i) q^{34} +(-4.06861 - 0.220594i) q^{35} +(-2.81570 + 3.44988i) q^{36} +(2.89842 - 1.96518i) q^{37} +(-0.104863 + 0.0114045i) q^{38} +(-1.55203 + 1.07468i) q^{39} +(0.779210 - 3.53998i) q^{40} +(4.23868 + 0.694897i) q^{41} +(-3.49800 + 0.0343241i) q^{42} +(-7.33760 - 2.03728i) q^{43} +(5.12946 + 3.89931i) q^{44} +(3.54866 - 2.50909i) q^{45} +(2.21340 + 4.17491i) q^{46} +(0.818877 - 2.05523i) q^{47} +(-0.308746 + 2.00639i) q^{48} +(0.589526 + 0.694043i) q^{49} +(0.975862 - 1.84067i) q^{50} +(3.82642 + 6.22057i) q^{51} +(-0.679306 + 1.46830i) q^{52} +(-5.95169 - 5.05541i) q^{53} +(2.90269 - 2.34452i) q^{54} +(-3.80564 - 5.00624i) q^{55} +(-6.02992 + 3.62808i) q^{56} +(-0.253192 - 0.0250251i) q^{57} -3.40091i q^{58} +(7.06420 + 3.01613i) q^{59} +(1.53066 - 3.39551i) q^{60} +(-4.01572 - 11.9182i) q^{61} +(-0.867375 - 1.44159i) q^{62} +(-8.27449 - 1.65181i) q^{63} +(-0.686116 - 1.72202i) q^{64} +(1.02220 - 1.20342i) q^{65} +(-3.53538 - 4.08034i) q^{66} +(5.30257 + 3.59523i) q^{67} +(5.52973 + 2.93168i) q^{68} +(3.15684 + 10.9519i) q^{69} +(2.81924 - 0.782759i) q^{70} +(-11.2190 - 4.47006i) q^{71} +(2.64095 - 7.02624i) q^{72} +(-1.11911 + 10.2900i) q^{73} +(-1.52177 + 2.00186i) q^{74} +(3.21548 - 3.86172i) q^{75} +(-0.197888 + 0.0915529i) q^{76} +(-1.97517 + 12.0480i) q^{77} +(0.809740 - 1.08717i) q^{78} +(15.1157 + 9.09484i) q^{79} +(-0.183576 - 1.68796i) q^{80} +(8.01361 - 4.09660i) q^{81} +(-3.04373 + 0.498994i) q^{82} +(0.675182 - 12.4530i) q^{83} +(-6.82958 + 2.37603i) q^{84} +(-4.43471 - 4.20078i) q^{85} +(5.46031 - 0.296050i) q^{86} +(1.68474 - 8.02829i) q^{87} +(-10.2924 - 3.46791i) q^{88} +(-4.75672 - 1.60273i) q^{89} +(-1.83955 + 2.52108i) q^{90} +(-3.06098 + 0.165962i) q^{91} +(7.09139 + 6.71732i) q^{92} +(-1.33342 - 3.83273i) q^{93} +(-0.0860082 + 1.58633i) q^{94} +(0.210000 - 0.0344277i) q^{95} +(-1.73602 - 9.97516i) q^{96} +(-1.41586 - 13.0186i) q^{97} +(-0.560303 - 0.337123i) q^{98} +(-6.32440 - 11.3835i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} + O(q^{10}) \) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} - 58q^{10} - 15q^{12} - 58q^{13} - 38q^{15} - 66q^{16} - 29q^{18} - 66q^{19} - 24q^{21} - 62q^{22} - 29q^{24} - 20q^{25} - 54q^{27} - 26q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 13q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} - q^{45} - 46q^{46} + 147q^{48} - 48q^{49} + 59q^{51} - 58q^{52} + 174q^{54} - 58q^{55} + 83q^{57} + 250q^{60} - 58q^{61} + 82q^{63} + 10q^{64} + 226q^{66} - 58q^{67} + 87q^{69} - 58q^{70} + 145q^{72} - 58q^{73} - 28q^{75} - 150q^{76} - 13q^{78} - 30q^{79} + 13q^{81} - 58q^{82} - 69q^{84} - 86q^{85} - 36q^{87} + 22q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 162q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{23}{58}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.680494 + 0.229285i −0.481182 + 0.162129i −0.549431 0.835539i \(-0.685155\pi\)
0.0682487 + 0.997668i \(0.478259\pi\)
\(3\) −1.71998 + 0.204154i −0.993029 + 0.117868i
\(4\) −1.18169 + 0.898294i −0.590843 + 0.449147i
\(5\) 1.34581 0.536219i 0.601863 0.239804i −0.0492480 0.998787i \(-0.515682\pi\)
0.651111 + 0.758982i \(0.274303\pi\)
\(6\) 1.12363 0.533291i 0.458718 0.217715i
\(7\) −2.55263 1.18097i −0.964804 0.446366i −0.126739 0.991936i \(-0.540451\pi\)
−0.838065 + 0.545570i \(0.816313\pi\)
\(8\) 1.40412 2.07093i 0.496433 0.732183i
\(9\) 2.91664 0.702280i 0.972214 0.234093i
\(10\) −0.792867 + 0.673467i −0.250727 + 0.212969i
\(11\) −1.16129 4.18258i −0.350141 1.26109i −0.903658 0.428256i \(-0.859128\pi\)
0.553517 0.832838i \(-0.313286\pi\)
\(12\) 1.84908 1.78629i 0.533784 0.515658i
\(13\) 0.962953 0.510526i 0.267075 0.141594i −0.329490 0.944159i \(-0.606877\pi\)
0.596565 + 0.802565i \(0.296532\pi\)
\(14\) 2.00783 + 0.218365i 0.536615 + 0.0583604i
\(15\) −2.20529 + 1.19704i −0.569402 + 0.309073i
\(16\) 0.313549 1.12930i 0.0783874 0.282326i
\(17\) −1.77047 3.82680i −0.429402 0.928137i −0.994658 0.103221i \(-0.967085\pi\)
0.565257 0.824915i \(-0.308777\pi\)
\(18\) −1.82374 + 1.14664i −0.429859 + 0.270266i
\(19\) 0.143458 + 0.0315776i 0.0329116 + 0.00724439i 0.231396 0.972860i \(-0.425671\pi\)
−0.198484 + 0.980104i \(0.563602\pi\)
\(20\) −1.10864 + 1.84257i −0.247899 + 0.412012i
\(21\) 4.63157 + 1.51012i 1.01069 + 0.329535i
\(22\) 1.74925 + 2.57995i 0.372942 + 0.550048i
\(23\) −1.06461 6.49382i −0.221986 1.35405i −0.828949 0.559324i \(-0.811061\pi\)
0.606963 0.794730i \(-0.292388\pi\)
\(24\) −1.99227 + 3.84860i −0.406671 + 0.785593i
\(25\) −2.10631 + 1.99520i −0.421262 + 0.399041i
\(26\) −0.538228 + 0.568201i −0.105555 + 0.111433i
\(27\) −4.87318 + 1.80335i −0.937845 + 0.347055i
\(28\) 4.07727 0.897475i 0.770531 0.169607i
\(29\) −1.51224 + 4.48817i −0.280816 + 0.833433i 0.710705 + 0.703490i \(0.248376\pi\)
−0.991521 + 0.129943i \(0.958521\pi\)
\(30\) 1.22622 1.32022i 0.223877 0.241037i
\(31\) 0.503659 + 2.28815i 0.0904598 + 0.410963i 0.999989 0.00467687i \(-0.00148870\pi\)
−0.909529 + 0.415640i \(0.863558\pi\)
\(32\) 0.316481 + 5.83716i 0.0559465 + 1.03187i
\(33\) 2.85127 + 6.95685i 0.496343 + 1.21103i
\(34\) 2.08222 + 2.19818i 0.357098 + 0.376984i
\(35\) −4.06861 0.220594i −0.687720 0.0372871i
\(36\) −2.81570 + 3.44988i −0.469283 + 0.574979i
\(37\) 2.89842 1.96518i 0.476498 0.323074i −0.299186 0.954195i \(-0.596715\pi\)
0.775684 + 0.631121i \(0.217405\pi\)
\(38\) −0.104863 + 0.0114045i −0.0170110 + 0.00185006i
\(39\) −1.55203 + 1.07468i −0.248524 + 0.172087i
\(40\) 0.779210 3.53998i 0.123204 0.559721i
\(41\) 4.23868 + 0.694897i 0.661971 + 0.108525i 0.483396 0.875402i \(-0.339403\pi\)
0.178575 + 0.983926i \(0.442851\pi\)
\(42\) −3.49800 + 0.0343241i −0.539754 + 0.00529633i
\(43\) −7.33760 2.03728i −1.11897 0.310682i −0.341678 0.939817i \(-0.610995\pi\)
−0.777296 + 0.629135i \(0.783409\pi\)
\(44\) 5.12946 + 3.89931i 0.773295 + 0.587843i
\(45\) 3.54866 2.50909i 0.529003 0.374033i
\(46\) 2.21340 + 4.17491i 0.326347 + 0.615556i
\(47\) 0.818877 2.05523i 0.119446 0.299786i −0.857081 0.515181i \(-0.827725\pi\)
0.976527 + 0.215395i \(0.0691040\pi\)
\(48\) −0.308746 + 2.00639i −0.0445637 + 0.289597i
\(49\) 0.589526 + 0.694043i 0.0842180 + 0.0991490i
\(50\) 0.975862 1.84067i 0.138008 0.260310i
\(51\) 3.82642 + 6.22057i 0.535806 + 0.871054i
\(52\) −0.679306 + 1.46830i −0.0942028 + 0.203616i
\(53\) −5.95169 5.05541i −0.817528 0.694415i 0.137639 0.990482i \(-0.456049\pi\)
−0.955167 + 0.296068i \(0.904325\pi\)
\(54\) 2.90269 2.34452i 0.395007 0.319049i
\(55\) −3.80564 5.00624i −0.513153 0.675041i
\(56\) −6.02992 + 3.62808i −0.805782 + 0.484823i
\(57\) −0.253192 0.0250251i −0.0335360 0.00331466i
\(58\) 3.40091i 0.446562i
\(59\) 7.06420 + 3.01613i 0.919681 + 0.392667i
\(60\) 1.53066 3.39551i 0.197608 0.438359i
\(61\) −4.01572 11.9182i −0.514160 1.52597i −0.819129 0.573610i \(-0.805543\pi\)
0.304969 0.952362i \(-0.401354\pi\)
\(62\) −0.867375 1.44159i −0.110157 0.183082i
\(63\) −8.27449 1.65181i −1.04249 0.208109i
\(64\) −0.686116 1.72202i −0.0857646 0.215253i
\(65\) 1.02220 1.20342i 0.126788 0.149266i
\(66\) −3.53538 4.08034i −0.435175 0.502256i
\(67\) 5.30257 + 3.59523i 0.647812 + 0.439227i 0.840337 0.542065i \(-0.182357\pi\)
−0.192525 + 0.981292i \(0.561668\pi\)
\(68\) 5.52973 + 2.93168i 0.670578 + 0.355518i
\(69\) 3.15684 + 10.9519i 0.380039 + 1.31845i
\(70\) 2.81924 0.782759i 0.336964 0.0935576i
\(71\) −11.2190 4.47006i −1.33145 0.530499i −0.407569 0.913174i \(-0.633624\pi\)
−0.923883 + 0.382675i \(0.875003\pi\)
\(72\) 2.64095 7.02624i 0.311239 0.828050i
\(73\) −1.11911 + 10.2900i −0.130982 + 1.20436i 0.725515 + 0.688206i \(0.241602\pi\)
−0.856497 + 0.516152i \(0.827364\pi\)
\(74\) −1.52177 + 2.00186i −0.176903 + 0.232712i
\(75\) 3.21548 3.86172i 0.371291 0.445913i
\(76\) −0.197888 + 0.0915529i −0.0226994 + 0.0105018i
\(77\) −1.97517 + 12.0480i −0.225092 + 1.37300i
\(78\) 0.809740 1.08717i 0.0916850 0.123098i
\(79\) 15.1157 + 9.09484i 1.70065 + 1.02325i 0.913856 + 0.406039i \(0.133090\pi\)
0.786798 + 0.617210i \(0.211737\pi\)
\(80\) −0.183576 1.68796i −0.0205244 0.188719i
\(81\) 8.01361 4.09660i 0.890401 0.455178i
\(82\) −3.04373 + 0.498994i −0.336124 + 0.0551047i
\(83\) 0.675182 12.4530i 0.0741108 1.36689i −0.690935 0.722917i \(-0.742801\pi\)
0.765045 0.643976i \(-0.222716\pi\)
\(84\) −6.82958 + 2.37603i −0.745169 + 0.259246i
\(85\) −4.43471 4.20078i −0.481012 0.455639i
\(86\) 5.46031 0.296050i 0.588801 0.0319239i
\(87\) 1.68474 8.02829i 0.180623 0.860723i
\(88\) −10.2924 3.46791i −1.09717 0.369681i
\(89\) −4.75672 1.60273i −0.504212 0.169889i 0.0556894 0.998448i \(-0.482264\pi\)
−0.559901 + 0.828559i \(0.689161\pi\)
\(90\) −1.83955 + 2.52108i −0.193905 + 0.265745i
\(91\) −3.06098 + 0.165962i −0.320878 + 0.0173975i
\(92\) 7.09139 + 6.71732i 0.739328 + 0.700329i
\(93\) −1.33342 3.83273i −0.138269 0.397436i
\(94\) −0.0860082 + 1.58633i −0.00887106 + 0.163617i
\(95\) 0.210000 0.0344277i 0.0215455 0.00353221i
\(96\) −1.73602 9.97516i −0.177182 1.01809i
\(97\) −1.41586 13.0186i −0.143758 1.32184i −0.814508 0.580153i \(-0.802993\pi\)
0.670749 0.741684i \(-0.265973\pi\)
\(98\) −0.560303 0.337123i −0.0565991 0.0340546i
\(99\) −6.32440 11.3835i −0.635626 1.14409i
\(100\) 0.696718 4.24979i 0.0696718 0.424979i
\(101\) 2.44245 1.13000i 0.243033 0.112439i −0.294592 0.955623i \(-0.595184\pi\)
0.537625 + 0.843184i \(0.319322\pi\)
\(102\) −4.03014 3.35572i −0.399044 0.332266i
\(103\) −2.25335 + 2.96424i −0.222030 + 0.292075i −0.893598 0.448867i \(-0.851828\pi\)
0.671569 + 0.740942i \(0.265621\pi\)
\(104\) 0.294844 2.71105i 0.0289118 0.265840i
\(105\) 7.04295 0.451207i 0.687321 0.0440332i
\(106\) 5.20923 + 2.07555i 0.505965 + 0.201595i
\(107\) 11.4795 3.18727i 1.10977 0.308125i 0.336169 0.941802i \(-0.390869\pi\)
0.773598 + 0.633677i \(0.218455\pi\)
\(108\) 4.13863 6.50854i 0.398240 0.626285i
\(109\) 15.1533 + 8.03377i 1.45142 + 0.769495i 0.992873 0.119174i \(-0.0380245\pi\)
0.458549 + 0.888669i \(0.348369\pi\)
\(110\) 3.73757 + 2.53414i 0.356364 + 0.241621i
\(111\) −4.58402 + 3.97179i −0.435096 + 0.376986i
\(112\) −2.13405 + 2.51240i −0.201649 + 0.237400i
\(113\) −1.04426 2.62091i −0.0982361 0.246554i 0.871643 0.490142i \(-0.163055\pi\)
−0.969879 + 0.243588i \(0.921676\pi\)
\(114\) 0.178033 0.0410237i 0.0166743 0.00384222i
\(115\) −4.91486 8.16856i −0.458313 0.761722i
\(116\) −2.24470 6.66205i −0.208416 0.618556i
\(117\) 2.45006 2.16528i 0.226508 0.200181i
\(118\) −5.49870 0.432743i −0.506197 0.0398372i
\(119\) 11.8593i 1.08714i
\(120\) −0.617521 + 6.24777i −0.0563717 + 0.570341i
\(121\) −6.71992 + 4.04324i −0.610902 + 0.367567i
\(122\) 5.46534 + 7.18954i 0.494809 + 0.650910i
\(123\) −7.43230 0.329863i −0.670148 0.0297427i
\(124\) −2.65059 2.25143i −0.238030 0.202185i
\(125\) −4.80629 + 10.3886i −0.429887 + 0.929186i
\(126\) 6.00948 0.773168i 0.535367 0.0688793i
\(127\) −7.93606 + 14.9690i −0.704212 + 1.32828i 0.230568 + 0.973056i \(0.425942\pi\)
−0.934780 + 0.355228i \(0.884403\pi\)
\(128\) −6.70716 7.89628i −0.592835 0.697939i
\(129\) 13.0364 + 2.00607i 1.14779 + 0.176624i
\(130\) −0.419672 + 1.05330i −0.0368076 + 0.0923802i
\(131\) 8.91167 + 16.8092i 0.778616 + 1.46863i 0.880610 + 0.473841i \(0.157133\pi\)
−0.101994 + 0.994785i \(0.532522\pi\)
\(132\) −9.61861 5.65953i −0.837192 0.492599i
\(133\) −0.328904 0.250026i −0.0285196 0.0216800i
\(134\) −4.43270 1.23073i −0.382927 0.106319i
\(135\) −5.59138 + 5.04005i −0.481229 + 0.433779i
\(136\) −10.4110 1.70680i −0.892735 0.146356i
\(137\) −1.80194 + 8.18630i −0.153950 + 0.699403i 0.834889 + 0.550418i \(0.185532\pi\)
−0.988839 + 0.148985i \(0.952399\pi\)
\(138\) −4.65931 6.72887i −0.396627 0.572800i
\(139\) 8.95508 0.973924i 0.759560 0.0826071i 0.279861 0.960040i \(-0.409711\pi\)
0.479699 + 0.877433i \(0.340746\pi\)
\(140\) 5.00597 3.39413i 0.423082 0.286857i
\(141\) −0.988868 + 3.70212i −0.0832777 + 0.311775i
\(142\) 8.65940 + 0.469499i 0.726680 + 0.0393995i
\(143\) −3.25358 3.43476i −0.272078 0.287229i
\(144\) 0.121425 3.51397i 0.0101187 0.292831i
\(145\) 0.371456 + 6.85111i 0.0308478 + 0.568954i
\(146\) −1.59781 7.25891i −0.132235 0.600752i
\(147\) −1.15566 1.07338i −0.0953174 0.0885313i
\(148\) −1.65972 + 4.92586i −0.136428 + 0.404903i
\(149\) 8.89745 1.95848i 0.728907 0.160445i 0.165013 0.986291i \(-0.447233\pi\)
0.563895 + 0.825847i \(0.309302\pi\)
\(150\) −1.30268 + 3.36514i −0.106363 + 0.274762i
\(151\) −2.19271 + 2.31482i −0.178440 + 0.188377i −0.809080 0.587699i \(-0.800034\pi\)
0.630639 + 0.776076i \(0.282793\pi\)
\(152\) 0.266828 0.252753i 0.0216426 0.0205010i
\(153\) −7.85131 9.91806i −0.634741 0.801827i
\(154\) −1.41834 8.65149i −0.114293 0.697157i
\(155\) 1.90477 + 2.80933i 0.152995 + 0.225651i
\(156\) 0.868632 2.66412i 0.0695462 0.213300i
\(157\) 7.88118 13.0986i 0.628987 1.04538i −0.364474 0.931213i \(-0.618751\pi\)
0.993461 0.114171i \(-0.0364212\pi\)
\(158\) −12.3715 2.72317i −0.984223 0.216644i
\(159\) 11.2689 + 7.48014i 0.893679 + 0.593213i
\(160\) 3.55591 + 7.68598i 0.281120 + 0.607630i
\(161\) −4.95147 + 17.8336i −0.390231 + 1.40548i
\(162\) −4.51392 + 4.62511i −0.354647 + 0.363383i
\(163\) 13.5784 + 1.47674i 1.06354 + 0.115667i 0.623122 0.782125i \(-0.285864\pi\)
0.440420 + 0.897792i \(0.354830\pi\)
\(164\) −5.63301 + 2.98643i −0.439864 + 0.233201i
\(165\) 7.56766 + 7.83367i 0.589141 + 0.609851i
\(166\) 2.39583 + 8.62900i 0.185952 + 0.669740i
\(167\) −7.38226 + 6.27055i −0.571257 + 0.485230i −0.885834 0.464002i \(-0.846413\pi\)
0.314577 + 0.949232i \(0.398137\pi\)
\(168\) 9.63063 7.47125i 0.743020 0.576419i
\(169\) −6.62879 + 9.77673i −0.509907 + 0.752056i
\(170\) 3.98097 + 1.84179i 0.305327 + 0.141259i
\(171\) 0.440593 0.00864746i 0.0336930 0.000661288i
\(172\) 10.5008 4.18390i 0.800679 0.319020i
\(173\) 8.48264 6.44833i 0.644923 0.490258i −0.230845 0.972991i \(-0.574149\pi\)
0.875768 + 0.482733i \(0.160356\pi\)
\(174\) 0.694309 + 5.84949i 0.0526355 + 0.443449i
\(175\) 7.73292 2.60552i 0.584554 0.196959i
\(176\) −5.08752 −0.383486
\(177\) −12.7660 3.74549i −0.959553 0.281528i
\(178\) 3.60440 0.270162
\(179\) −23.1259 + 7.79203i −1.72851 + 0.582404i −0.995233 0.0975236i \(-0.968908\pi\)
−0.733280 + 0.679927i \(0.762011\pi\)
\(180\) −1.93950 + 6.15270i −0.144562 + 0.458595i
\(181\) 12.7757 9.71184i 0.949611 0.721875i −0.0109516 0.999940i \(-0.503486\pi\)
0.960562 + 0.278065i \(0.0896930\pi\)
\(182\) 2.04493 0.814774i 0.151580 0.0603951i
\(183\) 9.34009 + 19.6792i 0.690439 + 1.45473i
\(184\) −14.9431 6.91340i −1.10162 0.509662i
\(185\) 2.84695 4.19894i 0.209312 0.308712i
\(186\) 1.78617 + 2.30242i 0.130968 + 0.168822i
\(187\) −13.9499 + 11.8491i −1.02012 + 0.866494i
\(188\) 0.878543 + 3.16422i 0.0640743 + 0.230775i
\(189\) 14.5692 + 1.15181i 1.05975 + 0.0837821i
\(190\) −0.135010 + 0.0715777i −0.00979464 + 0.00519279i
\(191\) −5.53844 0.602342i −0.400748 0.0435839i −0.0944738 0.995527i \(-0.530117\pi\)
−0.306274 + 0.951943i \(0.599082\pi\)
\(192\) 1.53166 + 2.82177i 0.110538 + 0.203643i
\(193\) 1.57311 5.66582i 0.113235 0.407835i −0.885108 0.465386i \(-0.845915\pi\)
0.998343 + 0.0575512i \(0.0183293\pi\)
\(194\) 3.94845 + 8.53444i 0.283482 + 0.612737i
\(195\) −1.51247 + 2.27854i −0.108310 + 0.163170i
\(196\) −1.32009 0.290573i −0.0942921 0.0207552i
\(197\) −0.666441 + 1.10763i −0.0474820 + 0.0789156i −0.879689 0.475549i \(-0.842249\pi\)
0.832207 + 0.554465i \(0.187077\pi\)
\(198\) 6.91379 + 6.29634i 0.491342 + 0.447461i
\(199\) −13.1320 19.3683i −0.930904 1.37298i −0.927837 0.372986i \(-0.878334\pi\)
−0.00306739 0.999995i \(-0.500976\pi\)
\(200\) 1.17440 + 7.16353i 0.0830427 + 0.506538i
\(201\) −9.85428 5.10118i −0.695067 0.359809i
\(202\) −1.40298 + 1.32897i −0.0987133 + 0.0935062i
\(203\) 9.16061 9.67074i 0.642949 0.678753i
\(204\) −10.1095 3.91350i −0.707808 0.274000i
\(205\) 6.07706 1.33766i 0.424441 0.0934264i
\(206\) 0.853739 2.53381i 0.0594828 0.176539i
\(207\) −7.66556 18.1925i −0.532793 1.26447i
\(208\) −0.274605 1.24754i −0.0190404 0.0865014i
\(209\) −0.0345206 0.636696i −0.00238784 0.0440411i
\(210\) −4.68923 + 1.92189i −0.323588 + 0.132623i
\(211\) 4.48200 + 4.73159i 0.308553 + 0.325736i 0.861768 0.507303i \(-0.169358\pi\)
−0.553214 + 0.833039i \(0.686599\pi\)
\(212\) 11.5743 + 0.627539i 0.794925 + 0.0430996i
\(213\) 20.2090 + 5.39800i 1.38470 + 0.369865i
\(214\) −7.08095 + 4.80100i −0.484044 + 0.328190i
\(215\) −10.9674 + 1.19278i −0.747972 + 0.0813469i
\(216\) −3.10795 + 12.6241i −0.211469 + 0.858964i
\(217\) 1.41658 6.43560i 0.0961639 0.436877i
\(218\) −12.1538 1.99251i −0.823156 0.134950i
\(219\) −0.175910 17.9271i −0.0118869 1.21140i
\(220\) 8.99414 + 2.49721i 0.606385 + 0.168362i
\(221\) −3.65856 2.78117i −0.246101 0.187081i
\(222\) 2.20873 3.75383i 0.148240 0.251941i
\(223\) 2.47357 + 4.66566i 0.165643 + 0.312436i 0.952413 0.304811i \(-0.0985931\pi\)
−0.786770 + 0.617246i \(0.788248\pi\)
\(224\) 6.08566 15.2739i 0.406616 1.02053i
\(225\) −4.74216 + 7.29852i −0.316144 + 0.486568i
\(226\) 1.31155 + 1.54408i 0.0872431 + 0.102710i
\(227\) 12.3912 23.3724i 0.822436 1.55128i −0.0118398 0.999930i \(-0.503769\pi\)
0.834275 0.551348i \(-0.185886\pi\)
\(228\) 0.321673 0.197869i 0.0213033 0.0131042i
\(229\) −3.44618 + 7.44880i −0.227730 + 0.492231i −0.987433 0.158040i \(-0.949482\pi\)
0.759703 + 0.650271i \(0.225345\pi\)
\(230\) 5.21747 + 4.43176i 0.344029 + 0.292221i
\(231\) 0.937601 21.1256i 0.0616896 1.38996i
\(232\) 7.17131 + 9.43369i 0.470819 + 0.619352i
\(233\) 3.44705 2.07402i 0.225824 0.135874i −0.398146 0.917322i \(-0.630346\pi\)
0.623970 + 0.781448i \(0.285519\pi\)
\(234\) −1.17078 + 2.03523i −0.0765365 + 0.133047i
\(235\) 3.20504i 0.209074i
\(236\) −11.0570 + 2.78161i −0.719752 + 0.181068i
\(237\) −27.8555 12.5570i −1.80941 0.815663i
\(238\) −2.71916 8.07019i −0.176257 0.523112i
\(239\) 3.03093 + 5.03745i 0.196055 + 0.325846i 0.939253 0.343226i \(-0.111520\pi\)
−0.743198 + 0.669071i \(0.766692\pi\)
\(240\) 0.660349 + 2.86577i 0.0426254 + 0.184984i
\(241\) −6.21208 15.5911i −0.400155 1.00431i −0.981638 0.190755i \(-0.938907\pi\)
0.581483 0.813559i \(-0.302473\pi\)
\(242\) 3.64581 4.29218i 0.234362 0.275912i
\(243\) −12.9469 + 8.68207i −0.830543 + 0.556955i
\(244\) 15.4514 + 10.4763i 0.989173 + 0.670676i
\(245\) 1.16555 + 0.617934i 0.0744640 + 0.0394783i
\(246\) 5.13327 1.47965i 0.327286 0.0943389i
\(247\) 0.154265 0.0428314i 0.00981563 0.00272530i
\(248\) 5.44578 + 2.16980i 0.345807 + 0.137782i
\(249\) 1.38103 + 21.5567i 0.0875192 + 1.36610i
\(250\) 0.888694 8.17141i 0.0562059 0.516805i
\(251\) 10.9022 14.3416i 0.688142 0.905235i −0.310835 0.950464i \(-0.600609\pi\)
0.998977 + 0.0452290i \(0.0144017\pi\)
\(252\) 11.2617 5.48100i 0.709417 0.345270i
\(253\) −25.9246 + 11.9940i −1.62986 + 0.754055i
\(254\) 1.96827 12.0059i 0.123501 0.753320i
\(255\) 8.48521 + 6.31989i 0.531364 + 0.395767i
\(256\) 9.55135 + 5.74686i 0.596960 + 0.359179i
\(257\) −2.74752 25.2630i −0.171386 1.57586i −0.691888 0.722005i \(-0.743221\pi\)
0.520503 0.853860i \(-0.325745\pi\)
\(258\) −9.33118 + 1.62394i −0.580934 + 0.101102i
\(259\) −9.71943 + 1.59342i −0.603936 + 0.0990103i
\(260\) −0.126887 + 2.34030i −0.00786922 + 0.145139i
\(261\) −1.25871 + 14.1524i −0.0779124 + 0.876013i
\(262\) −9.91844 9.39525i −0.612764 0.580440i
\(263\) −6.28228 + 0.340615i −0.387382 + 0.0210032i −0.246801 0.969066i \(-0.579380\pi\)
−0.140580 + 0.990069i \(0.544897\pi\)
\(264\) 18.4107 + 3.86350i 1.13310 + 0.237782i
\(265\) −10.7206 3.61220i −0.658564 0.221896i
\(266\) 0.281145 + 0.0947286i 0.0172381 + 0.00580818i
\(267\) 8.50866 + 1.78555i 0.520721 + 0.109274i
\(268\) −9.49554 + 0.514833i −0.580033 + 0.0314485i
\(269\) 9.40158 + 8.90565i 0.573225 + 0.542987i 0.918452 0.395532i \(-0.129440\pi\)
−0.345228 + 0.938519i \(0.612198\pi\)
\(270\) 2.64929 4.71175i 0.161231 0.286748i
\(271\) 1.18874 21.9250i 0.0722107 1.33185i −0.707947 0.706265i \(-0.750379\pi\)
0.780158 0.625583i \(-0.215139\pi\)
\(272\) −4.87675 + 0.799503i −0.295697 + 0.0484770i
\(273\) 5.23094 0.910362i 0.316591 0.0550976i
\(274\) −0.650787 5.98389i −0.0393155 0.361500i
\(275\) 10.7911 + 6.49280i 0.650729 + 0.391531i
\(276\) −13.5684 10.1059i −0.816721 0.608304i
\(277\) −1.46216 + 8.91878i −0.0878526 + 0.535877i 0.905829 + 0.423643i \(0.139249\pi\)
−0.993682 + 0.112234i \(0.964199\pi\)
\(278\) −5.87058 + 2.71602i −0.352094 + 0.162896i
\(279\) 3.07591 + 6.31999i 0.184150 + 0.378368i
\(280\) −6.16966 + 8.11605i −0.368708 + 0.485027i
\(281\) 2.96190 27.2342i 0.176692 1.62466i −0.484745 0.874656i \(-0.661088\pi\)
0.661437 0.750001i \(-0.269947\pi\)
\(282\) −0.175923 2.74601i −0.0104761 0.163522i
\(283\) 6.07686 + 2.42124i 0.361232 + 0.143928i 0.543691 0.839286i \(-0.317026\pi\)
−0.182459 + 0.983213i \(0.558406\pi\)
\(284\) 17.2728 4.79576i 1.02495 0.284576i
\(285\) −0.354166 + 0.102087i −0.0209790 + 0.00604712i
\(286\) 3.00158 + 1.59134i 0.177487 + 0.0940977i
\(287\) −9.99914 6.77958i −0.590231 0.400186i
\(288\) 5.02238 + 16.8026i 0.295947 + 0.990105i
\(289\) −0.504310 + 0.593720i −0.0296653 + 0.0349247i
\(290\) −1.82363 4.57697i −0.107087 0.268769i
\(291\) 5.09303 + 22.1026i 0.298559 + 1.29568i
\(292\) −7.92105 13.1649i −0.463544 0.770416i
\(293\) −3.10553 9.21688i −0.181427 0.538456i 0.817892 0.575372i \(-0.195143\pi\)
−0.999318 + 0.0369168i \(0.988246\pi\)
\(294\) 1.03253 + 0.465456i 0.0602185 + 0.0271459i
\(295\) 11.1244 + 0.271174i 0.647685 + 0.0157884i
\(296\) 8.76178i 0.509268i
\(297\) 13.2018 + 18.2883i 0.766047 + 1.06119i
\(298\) −5.60561 + 3.37279i −0.324724 + 0.195380i
\(299\) −4.34043 5.70973i −0.251013 0.330202i
\(300\) −0.330727 + 7.45178i −0.0190945 + 0.430229i
\(301\) 16.3242 + 13.8659i 0.940913 + 0.799219i
\(302\) 0.961375 2.07798i 0.0553209 0.119574i
\(303\) −3.97026 + 2.44220i −0.228085 + 0.140301i
\(304\) 0.0806419 0.152107i 0.00462513 0.00872392i
\(305\) −11.7952 13.8863i −0.675388 0.795129i
\(306\) 7.61684 + 4.94899i 0.435426 + 0.282915i
\(307\) −1.14515 + 2.87412i −0.0653574 + 0.164035i −0.958028 0.286675i \(-0.907450\pi\)
0.892670 + 0.450710i \(0.148829\pi\)
\(308\) −8.48863 16.0113i −0.483685 0.912326i
\(309\) 3.27056 5.55845i 0.186056 0.316209i
\(310\) −1.94033 1.47500i −0.110203 0.0837742i
\(311\) 9.46974 + 2.62926i 0.536980 + 0.149092i 0.525422 0.850842i \(-0.323907\pi\)
0.0115573 + 0.999933i \(0.496321\pi\)
\(312\) 0.0463457 + 4.72313i 0.00262381 + 0.267395i
\(313\) 14.9036 + 2.44331i 0.842399 + 0.138104i 0.567504 0.823370i \(-0.307909\pi\)
0.274894 + 0.961475i \(0.411357\pi\)
\(314\) −2.35978 + 10.7206i −0.133170 + 0.604997i
\(315\) −12.0216 + 2.21391i −0.677340 + 0.124740i
\(316\) −26.0319 + 2.83114i −1.46441 + 0.159264i
\(317\) −12.2676 + 8.31763i −0.689017 + 0.467165i −0.854773 0.519002i \(-0.826304\pi\)
0.165756 + 0.986167i \(0.446993\pi\)
\(318\) −9.38348 2.50641i −0.526199 0.140552i
\(319\) 20.5283 + 1.11301i 1.14936 + 0.0623166i
\(320\) −1.84676 1.94960i −0.103237 0.108986i
\(321\) −19.0938 + 7.82562i −1.06571 + 0.436784i
\(322\) −0.719531 13.2710i −0.0400979 0.739562i
\(323\) −0.133147 0.604894i −0.00740851 0.0336572i
\(324\) −5.78961 + 12.0395i −0.321645 + 0.668859i
\(325\) −1.00968 + 2.99661i −0.0560068 + 0.166222i
\(326\) −9.57861 + 2.10841i −0.530510 + 0.116774i
\(327\) −27.7034 10.7243i −1.53200 0.593055i
\(328\) 7.39071 7.80228i 0.408084 0.430809i
\(329\) −4.51746 + 4.27917i −0.249056 + 0.235918i
\(330\) −6.94589 3.59562i −0.382359 0.197932i
\(331\) −2.15064 13.1184i −0.118210 0.721050i −0.977717 0.209926i \(-0.932678\pi\)
0.859507 0.511124i \(-0.170771\pi\)
\(332\) 10.3886 + 15.3220i 0.570148 + 0.840906i
\(333\) 7.07356 7.76723i 0.387629 0.425642i
\(334\) 3.58584 5.95972i 0.196209 0.326101i
\(335\) 9.06407 + 1.99515i 0.495223 + 0.109007i
\(336\) 3.15761 4.75695i 0.172261 0.259513i
\(337\) 4.30086 + 9.29616i 0.234283 + 0.506394i 0.988683 0.150021i \(-0.0479341\pi\)
−0.754400 + 0.656415i \(0.772072\pi\)
\(338\) 2.26919 8.17289i 0.123428 0.444547i
\(339\) 2.33118 + 4.29471i 0.126612 + 0.233256i
\(340\) 9.01397 + 0.980328i 0.488851 + 0.0531658i
\(341\) 8.98545 4.76378i 0.486589 0.257973i
\(342\) −0.297838 + 0.106906i −0.0161052 + 0.00578081i
\(343\) 4.58192 + 16.5026i 0.247401 + 0.891057i
\(344\) −14.5219 + 12.3351i −0.782971 + 0.665062i
\(345\) 10.1211 + 13.0464i 0.544901 + 0.702392i
\(346\) −4.29388 + 6.33300i −0.230840 + 0.340464i
\(347\) 15.2972 + 7.07725i 0.821198 + 0.379927i 0.785060 0.619420i \(-0.212632\pi\)
0.0361385 + 0.999347i \(0.488494\pi\)
\(348\) 5.22092 + 11.0003i 0.279871 + 0.589678i
\(349\) 17.6471 7.03123i 0.944625 0.376373i 0.153584 0.988136i \(-0.450918\pi\)
0.791042 + 0.611762i \(0.209539\pi\)
\(350\) −4.66480 + 3.54609i −0.249344 + 0.189546i
\(351\) −3.77199 + 4.22443i −0.201334 + 0.225483i
\(352\) 24.0468 8.10232i 1.28170 0.431855i
\(353\) −11.3428 −0.603715 −0.301858 0.953353i \(-0.597607\pi\)
−0.301858 + 0.953353i \(0.597607\pi\)
\(354\) 9.54599 0.378274i 0.507364 0.0201051i
\(355\) −17.4956 −0.928568
\(356\) 7.06067 2.37902i 0.374215 0.126088i
\(357\) −2.42112 20.3977i −0.128139 1.07956i
\(358\) 13.9505 10.6049i 0.737305 0.560485i
\(359\) −0.705315 + 0.281023i −0.0372251 + 0.0148318i −0.388676 0.921374i \(-0.627068\pi\)
0.351451 + 0.936206i \(0.385688\pi\)
\(360\) −0.213385 10.8721i −0.0112464 0.573010i
\(361\) −17.2243 7.96883i −0.906545 0.419412i
\(362\) −6.46701 + 9.53813i −0.339899 + 0.501313i
\(363\) 10.7327 8.32618i 0.563319 0.437011i
\(364\) 3.46803 2.94578i 0.181774 0.154401i
\(365\) 4.01161 + 14.4485i 0.209977 + 0.756269i
\(366\) −10.8680 11.2501i −0.568082 0.588051i
\(367\) −18.9987 + 10.0725i −0.991722 + 0.525778i −0.883541 0.468353i \(-0.844847\pi\)
−0.108181 + 0.994131i \(0.534503\pi\)
\(368\) −7.66729 0.833869i −0.399685 0.0434684i
\(369\) 12.8507 0.949977i 0.668982 0.0494538i
\(370\) −0.974580 + 3.51012i −0.0506660 + 0.182482i
\(371\) 9.22217 + 19.9334i 0.478791 + 1.03489i
\(372\) 5.01860 + 3.33129i 0.260202 + 0.172719i
\(373\) −20.1966 4.44561i −1.04574 0.230185i −0.341305 0.939953i \(-0.610869\pi\)
−0.704436 + 0.709768i \(0.748800\pi\)
\(374\) 6.77598 11.2618i 0.350378 0.582332i
\(375\) 6.14583 18.8494i 0.317369 0.973379i
\(376\) −3.10642 4.58163i −0.160201 0.236279i
\(377\) 0.835109 + 5.09394i 0.0430103 + 0.262351i
\(378\) −10.1783 + 2.55669i −0.523516 + 0.131502i
\(379\) 10.6437 10.0822i 0.546730 0.517890i −0.363720 0.931508i \(-0.618494\pi\)
0.910451 + 0.413618i \(0.135735\pi\)
\(380\) −0.217227 + 0.229324i −0.0111435 + 0.0117641i
\(381\) 10.5939 27.3665i 0.542740 1.40203i
\(382\) 3.90699 0.859993i 0.199899 0.0440011i
\(383\) −8.53176 + 25.3214i −0.435953 + 1.29386i 0.474503 + 0.880254i \(0.342628\pi\)
−0.910455 + 0.413607i \(0.864269\pi\)
\(384\) 13.1482 + 12.2121i 0.670967 + 0.623197i
\(385\) 3.80217 + 17.2734i 0.193777 + 0.880336i
\(386\) 0.228599 + 4.21625i 0.0116354 + 0.214602i
\(387\) −22.8319 0.788951i −1.16061 0.0401046i
\(388\) 13.3676 + 14.1120i 0.678637 + 0.716429i
\(389\) −28.8762 1.56562i −1.46408 0.0793803i −0.695222 0.718795i \(-0.744694\pi\)
−0.768862 + 0.639415i \(0.779177\pi\)
\(390\) 0.506791 1.89732i 0.0256624 0.0960747i
\(391\) −22.9657 + 15.5711i −1.16143 + 0.787467i
\(392\) 2.26508 0.246342i 0.114404 0.0124422i
\(393\) −18.7595 27.0921i −0.946293 1.36661i
\(394\) 0.199545 0.906544i 0.0100529 0.0456710i
\(395\) 25.2197 + 4.13456i 1.26894 + 0.208032i
\(396\) 17.6992 + 7.77058i 0.889418 + 0.390486i
\(397\) 11.5020 + 3.19352i 0.577270 + 0.160278i 0.543878 0.839164i \(-0.316955\pi\)
0.0333918 + 0.999442i \(0.489369\pi\)
\(398\) 13.3771 + 10.1690i 0.670535 + 0.509727i
\(399\) 0.616751 + 0.362892i 0.0308762 + 0.0181673i
\(400\) 1.59276 + 3.00426i 0.0796379 + 0.150213i
\(401\) −4.24995 + 10.6666i −0.212232 + 0.532663i −0.996097 0.0882692i \(-0.971866\pi\)
0.783864 + 0.620932i \(0.213246\pi\)
\(402\) 7.87541 + 1.21188i 0.392790 + 0.0604431i
\(403\) 1.65316 + 1.94625i 0.0823496 + 0.0969494i
\(404\) −1.87113 + 3.52933i −0.0930924 + 0.175591i
\(405\) 8.58809 9.81028i 0.426746 0.487477i
\(406\) −4.01639 + 8.68127i −0.199330 + 0.430844i
\(407\) −11.5854 9.84074i −0.574268 0.487787i
\(408\) 18.2551 + 0.810204i 0.903763 + 0.0401111i
\(409\) 1.04928 + 1.38031i 0.0518837 + 0.0682518i 0.821303 0.570492i \(-0.193247\pi\)
−0.769419 + 0.638744i \(0.779454\pi\)
\(410\) −3.82870 + 2.30365i −0.189086 + 0.113769i
\(411\) 1.42803 14.4481i 0.0704396 0.712673i
\(412\) 5.52697i 0.272294i
\(413\) −14.4703 16.0417i −0.712039 0.789361i
\(414\) 9.38764 + 10.6223i 0.461377 + 0.522057i
\(415\) −5.76886 17.1214i −0.283182 0.840455i
\(416\) 3.28477 + 5.45934i 0.161049 + 0.267666i
\(417\) −15.2037 + 3.50334i −0.744529 + 0.171559i
\(418\) 0.169476 + 0.425353i 0.00828934 + 0.0208047i
\(419\) 2.41637 2.84477i 0.118047 0.138976i −0.699964 0.714178i \(-0.746801\pi\)
0.818011 + 0.575202i \(0.195077\pi\)
\(420\) −7.91723 + 6.85982i −0.386321 + 0.334725i
\(421\) 2.26503 + 1.53573i 0.110391 + 0.0748469i 0.615133 0.788423i \(-0.289102\pi\)
−0.504742 + 0.863270i \(0.668413\pi\)
\(422\) −4.13486 2.19216i −0.201282 0.106713i
\(423\) 0.945027 6.56944i 0.0459488 0.319417i
\(424\) −18.8263 + 5.22710i −0.914286 + 0.253850i
\(425\) 11.3644 + 4.52800i 0.551255 + 0.219640i
\(426\) −14.9898 + 0.960323i −0.726259 + 0.0465278i
\(427\) −3.82445 + 35.1653i −0.185078 + 1.70177i
\(428\) −10.7021 + 14.0783i −0.517304 + 0.680502i
\(429\) 6.29730 + 5.24348i 0.304036 + 0.253157i
\(430\) 7.18978 3.32635i 0.346722 0.160411i
\(431\) −2.93121 + 17.8796i −0.141191 + 0.861229i 0.817322 + 0.576181i \(0.195458\pi\)
−0.958513 + 0.285048i \(0.907991\pi\)
\(432\) 0.508544 + 6.06874i 0.0244673 + 0.291982i
\(433\) 33.9038 + 20.3993i 1.62932 + 0.980326i 0.974457 + 0.224574i \(0.0720992\pi\)
0.654858 + 0.755752i \(0.272728\pi\)
\(434\) 0.511612 + 4.70419i 0.0245581 + 0.225808i
\(435\) −2.03758 11.7079i −0.0976943 0.561352i
\(436\) −25.1231 + 4.11872i −1.20318 + 0.197251i
\(437\) 0.0523321 0.965209i 0.00250339 0.0461722i
\(438\) 4.23013 + 12.1590i 0.202123 + 0.580978i
\(439\) 1.88679 + 1.78726i 0.0900516 + 0.0853014i 0.731401 0.681947i \(-0.238867\pi\)
−0.641350 + 0.767249i \(0.721625\pi\)
\(440\) −15.7111 + 0.851833i −0.748999 + 0.0406095i
\(441\) 2.20685 + 1.61026i 0.105088 + 0.0766792i
\(442\) 3.12731 + 1.05371i 0.148751 + 0.0501200i
\(443\) 32.3242 + 10.8913i 1.53577 + 0.517460i 0.954999 0.296609i \(-0.0958558\pi\)
0.580768 + 0.814069i \(0.302752\pi\)
\(444\) 1.84904 8.81121i 0.0877515 0.418161i
\(445\) −7.26104 + 0.393682i −0.344206 + 0.0186623i
\(446\) −2.75302 2.60780i −0.130359 0.123483i
\(447\) −14.9036 + 5.18498i −0.704915 + 0.245241i
\(448\) −0.282260 + 5.20597i −0.0133355 + 0.245959i
\(449\) −19.9630 + 3.27277i −0.942112 + 0.154451i −0.613217 0.789915i \(-0.710125\pi\)
−0.328896 + 0.944366i \(0.606676\pi\)
\(450\) 1.55357 6.05391i 0.0732362 0.285384i
\(451\) −2.01587 18.5356i −0.0949234 0.872806i
\(452\) 3.58833 + 2.15903i 0.168781 + 0.101552i
\(453\) 3.29884 4.42909i 0.154993 0.208097i
\(454\) −3.07323 + 18.7459i −0.144234 + 0.879788i
\(455\) −4.03050 + 1.86471i −0.188953 + 0.0874188i
\(456\) −0.407337 + 0.489203i −0.0190753 + 0.0229090i
\(457\) −12.8517 + 16.9062i −0.601179 + 0.790838i −0.991537 0.129826i \(-0.958558\pi\)
0.390358 + 0.920663i \(0.372351\pi\)
\(458\) 0.637207 5.85902i 0.0297747 0.273774i
\(459\) 15.5289 + 15.4560i 0.724826 + 0.721422i
\(460\) 13.1456 + 5.23768i 0.612916 + 0.244208i
\(461\) −0.0248836 + 0.00690891i −0.00115895 + 0.000321780i −0.268108 0.963389i \(-0.586398\pi\)
0.266949 + 0.963711i \(0.413985\pi\)
\(462\) 4.20575 + 14.5908i 0.195669 + 0.678825i
\(463\) −15.4124 8.17112i −0.716274 0.379744i 0.0700630 0.997543i \(-0.477680\pi\)
−0.786337 + 0.617798i \(0.788025\pi\)
\(464\) 4.59435 + 3.11504i 0.213287 + 0.144612i
\(465\) −3.84970 4.44312i −0.178526 0.206045i
\(466\) −1.87016 + 2.20172i −0.0866334 + 0.101993i
\(467\) 5.93959 + 14.9073i 0.274852 + 0.689825i 0.999999 + 0.00123202i \(0.000392163\pi\)
−0.725148 + 0.688593i \(0.758229\pi\)
\(468\) −0.950137 + 4.75956i −0.0439201 + 0.220011i
\(469\) −9.28964 15.4395i −0.428955 0.712930i
\(470\) 0.734868 + 2.18101i 0.0338969 + 0.100602i
\(471\) −10.8813 + 24.1383i −0.501385 + 1.11223i
\(472\) 16.1652 10.3944i 0.744064 0.478442i
\(473\) 33.0559i 1.51991i
\(474\) 21.8346 + 2.15810i 1.00290 + 0.0991250i
\(475\) −0.365171 + 0.219716i −0.0167552 + 0.0100813i
\(476\) −10.6531 14.0140i −0.488286 0.642329i
\(477\) −20.9093 10.5651i −0.957370 0.483742i
\(478\) −3.21755 2.73301i −0.147167 0.125005i
\(479\) 9.07152 19.6078i 0.414488 0.895902i −0.582080 0.813131i \(-0.697761\pi\)
0.996569 0.0827705i \(-0.0263768\pi\)
\(480\) −7.68521 12.4938i −0.350780 0.570259i
\(481\) 1.78777 3.37210i 0.0815154 0.153754i
\(482\) 7.80210 + 9.18534i 0.355376 + 0.418381i
\(483\) 4.87562 31.6842i 0.221848 1.44168i
\(484\) 4.30881 10.8143i 0.195855 0.491559i
\(485\) −8.88627 16.7613i −0.403505 0.761091i
\(486\) 6.81961 8.87663i 0.309344 0.402652i
\(487\) −0.0835692 0.0635277i −0.00378688 0.00287871i 0.603279 0.797530i \(-0.293861\pi\)
−0.607066 + 0.794651i \(0.707654\pi\)
\(488\) −30.3203 8.41840i −1.37254 0.381083i
\(489\) −23.6560 + 0.232124i −1.06976 + 0.0104970i
\(490\) −0.934831 0.153258i −0.0422314 0.00692348i
\(491\) 7.53337 34.2245i 0.339976 1.54453i −0.427838 0.903856i \(-0.640724\pi\)
0.767814 0.640673i \(-0.221344\pi\)
\(492\) 9.07896 6.28660i 0.409311 0.283422i
\(493\) 19.8527 2.15912i 0.894123 0.0972417i
\(494\) −0.0951557 + 0.0645172i −0.00428126 + 0.00290276i
\(495\) −14.6155 11.9288i −0.656917 0.536158i
\(496\) 2.74193 + 0.148663i 0.123116 + 0.00667518i
\(497\) 23.3590 + 24.6598i 1.04779 + 1.10614i
\(498\) −5.88242 14.3526i −0.263597 0.643154i
\(499\) −1.80672 33.3230i −0.0808800 1.49174i −0.704325 0.709877i \(-0.748750\pi\)
0.623445 0.781867i \(-0.285732\pi\)
\(500\) −3.65251 16.5935i −0.163345 0.742085i
\(501\) 11.4172 12.2923i 0.510081 0.549181i
\(502\) −4.13057 + 12.2591i −0.184357 + 0.547151i
\(503\) 21.5290 4.73889i 0.959930 0.211297i 0.292747 0.956190i \(-0.405431\pi\)
0.667184 + 0.744893i \(0.267500\pi\)
\(504\) −15.0392 + 14.8165i −0.669899 + 0.659980i
\(505\) 2.68114 2.83044i 0.119309 0.125953i
\(506\) 14.8915 14.1060i 0.662007 0.627086i
\(507\) 9.40541 18.1690i 0.417709 0.806916i
\(508\) −4.06863 24.8176i −0.180516 1.10110i
\(509\) −9.60063 14.1599i −0.425540 0.627625i 0.553122 0.833100i \(-0.313436\pi\)
−0.978662 + 0.205475i \(0.934126\pi\)
\(510\) −7.22319 2.35511i −0.319848 0.104286i
\(511\) 15.0089 24.9450i 0.663956 1.10350i
\(512\) 12.4190 + 2.73362i 0.548846 + 0.120810i
\(513\) −0.756044 + 0.104822i −0.0333802 + 0.00462801i
\(514\) 7.66211 + 16.5614i 0.337961 + 0.730491i
\(515\) −1.44310 + 5.19758i −0.0635906 + 0.229033i
\(516\) −17.2070 + 9.34000i −0.757496 + 0.411171i
\(517\) −9.54709 1.03831i −0.419881 0.0456648i
\(518\) 6.24867 3.31284i 0.274551 0.145558i
\(519\) −13.2735 + 12.8227i −0.582641 + 0.562856i
\(520\) −1.05691 3.80665i −0.0463486 0.166932i
\(521\) 24.4282 20.7495i 1.07022 0.909053i 0.0741173 0.997250i \(-0.476386\pi\)
0.996103 + 0.0881961i \(0.0281102\pi\)
\(522\) −2.38839 9.91924i −0.104537 0.434153i
\(523\) 9.27282 13.6764i 0.405472 0.598027i −0.569054 0.822300i \(-0.692691\pi\)
0.974526 + 0.224273i \(0.0720009\pi\)
\(524\) −25.6304 11.8579i −1.11967 0.518014i
\(525\) −12.7685 + 6.06015i −0.557264 + 0.264486i
\(526\) 4.19696 1.67222i 0.182996 0.0729123i
\(527\) 7.86457 5.97849i 0.342586 0.260427i
\(528\) 8.75041 1.03864i 0.380813 0.0452008i
\(529\) −19.2402 + 6.48279i −0.836533 + 0.281861i
\(530\) 8.12356 0.352865
\(531\) 22.7219 + 3.83593i 0.986047 + 0.166465i
\(532\) 0.613258 0.0265881
\(533\) 4.43642 1.49480i 0.192162 0.0647471i
\(534\) −6.19949 + 0.735853i −0.268278 + 0.0318435i
\(535\) 13.7401 10.4450i 0.594038 0.451576i
\(536\) 14.8909 5.93309i 0.643190 0.256270i
\(537\) 38.1853 18.1234i 1.64782 0.782081i
\(538\) −8.43966 3.90460i −0.363860 0.168339i
\(539\) 2.21828 3.27172i 0.0955481 0.140923i
\(540\) 2.07980 10.9785i 0.0895003 0.472437i
\(541\) −10.5793 + 8.98610i −0.454838 + 0.386343i −0.845314 0.534271i \(-0.820586\pi\)
0.390476 + 0.920613i \(0.372310\pi\)
\(542\) 4.21815 + 15.1924i 0.181185 + 0.652569i
\(543\) −19.9912 + 19.3124i −0.857905 + 0.828772i
\(544\) 21.7773 11.5456i 0.933696 0.495014i
\(545\) 24.7013 + 2.68642i 1.05809 + 0.115074i
\(546\) −3.35089 + 1.81887i −0.143405 + 0.0778406i
\(547\) 3.62442 13.0540i 0.154969 0.558148i −0.844766 0.535136i \(-0.820260\pi\)
0.999735 0.0230125i \(-0.00732574\pi\)
\(548\) −5.22437 11.2923i −0.223174 0.482383i
\(549\) −20.0823 31.9410i −0.857093 1.36321i
\(550\) −8.83200 1.94407i −0.376598 0.0828954i
\(551\) −0.358669 + 0.596113i −0.0152798 + 0.0253953i
\(552\) 27.1131 + 8.84020i 1.15401 + 0.376264i
\(553\) −27.8442 41.0671i −1.18405 1.74635i
\(554\) −1.04995 6.40443i −0.0446082 0.272098i
\(555\) −4.03946 + 7.80330i −0.171466 + 0.331232i
\(556\) −9.70722 + 9.19517i −0.411678 + 0.389962i
\(557\) −26.6002 + 28.0815i −1.12709 + 1.18985i −0.147452 + 0.989069i \(0.547107\pi\)
−0.979636 + 0.200783i \(0.935652\pi\)
\(558\) −3.54222 3.59546i −0.149954 0.152208i
\(559\) −8.10585 + 1.78423i −0.342841 + 0.0754650i
\(560\) −1.52483 + 4.52553i −0.0644357 + 0.191238i
\(561\) 21.5744 23.2282i 0.910873 0.980694i
\(562\) 4.22885 + 19.2118i 0.178383 + 0.810403i
\(563\) 1.38411 + 25.5284i 0.0583332 + 1.07589i 0.870405 + 0.492336i \(0.163857\pi\)
−0.812072 + 0.583557i \(0.801661\pi\)
\(564\) −2.15706 5.26304i −0.0908287 0.221614i
\(565\) −2.81076 2.96728i −0.118249 0.124834i
\(566\) −4.69042 0.254307i −0.197153 0.0106893i
\(567\) −25.2938 + 0.993257i −1.06224 + 0.0417129i
\(568\) −25.0101 + 16.9572i −1.04940 + 0.711510i
\(569\) −0.562440 + 0.0611690i −0.0235787 + 0.00256434i −0.119901 0.992786i \(-0.538258\pi\)
0.0963221 + 0.995350i \(0.469292\pi\)
\(570\) 0.217601 0.150675i 0.00911430 0.00631107i
\(571\) 7.01344 31.8624i 0.293503 1.33340i −0.566901 0.823786i \(-0.691858\pi\)
0.860404 0.509613i \(-0.170211\pi\)
\(572\) 6.93012 + 1.13614i 0.289763 + 0.0475042i
\(573\) 9.64897 0.0946804i 0.403091 0.00395533i
\(574\) 8.35882 + 2.32081i 0.348890 + 0.0968689i
\(575\) 15.1989 + 11.5539i 0.633837 + 0.481831i
\(576\) −3.21050 4.54068i −0.133771 0.189195i
\(577\) 10.6396 + 20.0684i 0.442932 + 0.835458i 0.999988 + 0.00498318i \(0.00158620\pi\)
−0.557056 + 0.830475i \(0.688069\pi\)
\(578\) 0.207049 0.519654i 0.00861210 0.0216147i
\(579\) −1.54901 + 10.0662i −0.0643747 + 0.418339i
\(580\) −6.59325 7.76218i −0.273770 0.322307i
\(581\) −16.4301 + 30.9905i −0.681637 + 1.28570i
\(582\) −8.53358 13.8729i −0.353728 0.575052i
\(583\) −14.2330 + 30.7642i −0.589472 + 1.27412i
\(584\) 19.7386 + 16.7661i 0.816787 + 0.693785i
\(585\) 2.13624 4.22782i 0.0883227 0.174799i
\(586\) 4.22659 + 5.55998i 0.174599 + 0.229681i
\(587\) 23.2369 13.9812i 0.959088 0.577064i 0.0522915 0.998632i \(-0.483348\pi\)
0.906797 + 0.421567i \(0.138520\pi\)
\(588\) 2.32984 + 0.230278i 0.0960811 + 0.00949652i
\(589\) 0.344158i 0.0141808i
\(590\) −7.63224 + 2.36612i −0.314214 + 0.0974116i
\(591\) 0.920136 2.04116i 0.0378493 0.0839622i
\(592\) −1.31049 3.88938i −0.0538606 0.159853i
\(593\) −8.19642 13.6226i −0.336587 0.559411i 0.641626 0.767018i \(-0.278260\pi\)
−0.978212 + 0.207607i \(0.933433\pi\)
\(594\) −13.1770 9.41808i −0.540658 0.386428i
\(595\) 6.35917 + 15.9603i 0.260701 + 0.654310i
\(596\) −8.75470 + 10.3068i −0.358606 + 0.422184i
\(597\) 26.5409 + 30.6321i 1.08625 + 1.25369i
\(598\) 4.26279 + 2.89025i 0.174319 + 0.118191i
\(599\) −29.0087 15.3794i −1.18526 0.628387i −0.245229 0.969465i \(-0.578863\pi\)
−0.940035 + 0.341078i \(0.889208\pi\)
\(600\) −3.48241 12.0813i −0.142169 0.493219i
\(601\) −10.6037 + 2.94411i −0.432534 + 0.120093i −0.476970 0.878920i \(-0.658265\pi\)
0.0444355 + 0.999012i \(0.485851\pi\)
\(602\) −14.2878 5.69278i −0.582327 0.232020i
\(603\) 17.9906 + 6.76212i 0.732632 + 0.275375i
\(604\) 0.511709 4.70509i 0.0208212 0.191447i
\(605\) −6.87565 + 9.04477i −0.279535 + 0.367722i
\(606\) 2.14178 2.57223i 0.0870038 0.104490i
\(607\) −0.775718 + 0.358885i −0.0314854 + 0.0145667i −0.435569 0.900156i \(-0.643453\pi\)
0.404083 + 0.914722i \(0.367591\pi\)
\(608\) −0.138921 + 0.847382i −0.00563400 + 0.0343659i
\(609\) −13.7817 + 18.5036i −0.558463 + 0.749805i
\(610\) 11.2105 + 6.74511i 0.453898 + 0.273102i
\(611\) −0.260705 2.39715i −0.0105470 0.0969781i
\(612\) 18.1871 + 4.66724i 0.735170 + 0.188662i
\(613\) 10.5538 1.73021i 0.426264 0.0698824i 0.0551681 0.998477i \(-0.482431\pi\)
0.371095 + 0.928595i \(0.378982\pi\)
\(614\) 0.120278 2.21839i 0.00485401 0.0895269i
\(615\) −10.1793 + 3.54141i −0.410470 + 0.142803i
\(616\) 22.1772 + 21.0073i 0.893544 + 0.846410i
\(617\) −24.7120 + 1.33985i −0.994868 + 0.0539402i −0.544377 0.838841i \(-0.683234\pi\)
−0.450491 + 0.892781i \(0.648751\pi\)
\(618\) −0.951125 + 4.53239i −0.0382599 + 0.182319i
\(619\) −6.50329 2.19121i −0.261389 0.0880723i 0.185556 0.982634i \(-0.440591\pi\)
−0.446945 + 0.894561i \(0.647488\pi\)
\(620\) −4.77445 1.60870i −0.191746 0.0646069i
\(621\) 16.8987 + 29.7257i 0.678119 + 1.19285i
\(622\) −7.04696 + 0.382075i −0.282557 + 0.0153198i
\(623\) 10.2494 + 9.70873i 0.410633 + 0.388972i
\(624\) 0.727004 + 2.08968i 0.0291035 + 0.0836542i
\(625\) −0.112406 + 2.07320i −0.00449623 + 0.0829281i
\(626\) −10.7020 + 1.75450i −0.427738 + 0.0701241i
\(627\) 0.189359 + 1.08805i 0.00756225 + 0.0434527i
\(628\) 2.45334 + 22.5581i 0.0978989 + 0.900165i
\(629\) −12.6519 7.61241i −0.504466 0.303527i
\(630\) 7.67301 4.26293i 0.305700 0.169839i
\(631\) −5.40365 + 32.9608i −0.215116 + 1.31215i 0.629594 + 0.776924i \(0.283221\pi\)
−0.844710 + 0.535224i \(0.820227\pi\)
\(632\) 40.0591 18.5333i 1.59347 0.737216i
\(633\) −8.67491 7.22320i −0.344797 0.287097i
\(634\) 6.44092 8.47288i 0.255802 0.336501i
\(635\) −2.65375 + 24.4009i −0.105311 + 0.968318i
\(636\) −20.0356 + 1.28358i −0.794463 + 0.0508973i
\(637\) 0.922013 + 0.367363i 0.0365315 + 0.0145555i
\(638\) −14.2246 + 3.94943i −0.563156 + 0.156360i
\(639\) −35.8611 5.15869i −1.41864 0.204075i
\(640\) −13.2607 7.03036i −0.524174 0.277899i
\(641\) 1.26718 + 0.859171i 0.0500507 + 0.0339352i 0.585956 0.810343i \(-0.300719\pi\)
−0.535905 + 0.844278i \(0.680030\pi\)
\(642\) 11.1989 9.70322i 0.441986 0.382956i
\(643\) 19.7871 23.2951i 0.780325 0.918670i −0.218033 0.975941i \(-0.569964\pi\)
0.998359 + 0.0572713i \(0.0182400\pi\)
\(644\) −10.1687 25.5216i −0.400704 1.00569i
\(645\) 18.6202 4.29059i 0.733170 0.168942i
\(646\) 0.229299 + 0.381098i 0.00902165 + 0.0149941i
\(647\) 9.02381 + 26.7817i 0.354763 + 1.05290i 0.965352 + 0.260950i \(0.0840359\pi\)
−0.610590 + 0.791947i \(0.709068\pi\)
\(648\) 2.76833 22.3477i 0.108750 0.877901i
\(649\) 4.41163 33.0491i 0.173172 1.29729i
\(650\) 2.27068i 0.0890635i
\(651\) −1.12264 + 11.3583i −0.0439996 + 0.445166i
\(652\) −17.3719 + 10.4523i −0.680337 + 0.409345i
\(653\) −21.5556 28.3559i −0.843535 1.10965i −0.992673 0.120834i \(-0.961443\pi\)
0.149138 0.988816i \(-0.452350\pi\)
\(654\) 21.3110 + 0.945830i 0.833324 + 0.0369849i
\(655\) 21.0068 + 17.8433i 0.820803 + 0.697197i
\(656\) 2.11379 4.56887i 0.0825295 0.178385i
\(657\) 3.96245 + 30.7983i 0.154590 + 1.20156i
\(658\) 2.09296 3.94774i 0.0815919 0.153899i
\(659\) 24.7858 + 29.1800i 0.965516 + 1.13669i 0.990570 + 0.137007i \(0.0437483\pi\)
−0.0250541 + 0.999686i \(0.507976\pi\)
\(660\) −15.9795 2.45896i −0.622002 0.0957147i
\(661\) 13.4346 33.7182i 0.522544 1.31149i −0.396753 0.917925i \(-0.629863\pi\)
0.919298 0.393562i \(-0.128758\pi\)
\(662\) 4.47135 + 8.43385i 0.173784 + 0.327791i
\(663\) 6.86043 + 4.03663i 0.266437 + 0.156770i
\(664\) −24.8412 18.8838i −0.964025 0.732833i
\(665\) −0.576710 0.160123i −0.0223638 0.00620929i
\(666\) −3.03261 + 6.90742i −0.117511 + 0.267657i
\(667\) 30.7553 + 5.04208i 1.19085 + 0.195230i
\(668\) 3.09072 14.0413i 0.119583 0.543273i
\(669\) −5.20700 7.51983i −0.201314 0.290734i
\(670\) −6.62550 + 0.720567i −0.255966 + 0.0278379i
\(671\) −45.1855 + 30.6365i −1.74437 + 1.18271i
\(672\) −7.34898 + 27.5131i −0.283493 + 1.06134i
\(673\) 19.3514 + 1.04920i 0.745942 + 0.0404438i 0.423191 0.906040i \(-0.360910\pi\)
0.322750 + 0.946484i \(0.395393\pi\)
\(674\) −5.05818 5.33986i −0.194834 0.205684i
\(675\) 6.66639 13.5214i 0.256590 0.520439i
\(676\) −0.949236 17.5076i −0.0365091 0.673370i
\(677\) 6.20799 + 28.2032i 0.238593 + 1.08394i 0.931736 + 0.363137i \(0.118294\pi\)
−0.693143 + 0.720800i \(0.743775\pi\)
\(678\) −2.57107 2.38802i −0.0987412 0.0917113i
\(679\) −11.7604 + 34.9037i −0.451324 + 1.33948i
\(680\) −14.9264 + 3.28555i −0.572401 + 0.125995i
\(681\) −16.5411 + 42.7296i −0.633856 + 1.63740i
\(682\) −5.02228 + 5.30196i −0.192313 + 0.203022i
\(683\) 7.44686 7.05404i 0.284946 0.269915i −0.531854 0.846836i \(-0.678505\pi\)
0.816800 + 0.576921i \(0.195746\pi\)
\(684\) −0.512874 + 0.406000i −0.0196102 + 0.0155238i
\(685\) 1.96458 + 11.9834i 0.0750628 + 0.457863i
\(686\) −6.90178 10.1794i −0.263511 0.388650i
\(687\) 4.40665 13.5153i 0.168124 0.515641i
\(688\) −4.60140 + 7.64759i −0.175427 + 0.291562i
\(689\) −8.31212 1.82964i −0.316667 0.0697036i
\(690\) −9.87868 6.55735i −0.376075 0.249634i
\(691\) 8.31166 + 17.9653i 0.316190 + 0.683434i 0.998882 0.0472724i \(-0.0150529\pi\)
−0.682692 + 0.730706i \(0.739191\pi\)
\(692\) −4.23131 + 15.2398i −0.160850 + 0.579330i
\(693\) 2.70021 + 36.5269i 0.102573 + 1.38754i
\(694\) −12.0324 1.30860i −0.456743 0.0496738i
\(695\) 11.5296 6.11259i 0.437342 0.231864i
\(696\) −14.2604 14.7617i −0.540539 0.559540i
\(697\) −4.84522 17.4509i −0.183526 0.661000i
\(698\) −10.3966 + 8.83092i −0.393516 + 0.334255i
\(699\) −5.50544 + 4.27100i −0.208235 + 0.161544i
\(700\) −6.79735 + 10.0253i −0.256916 + 0.378922i
\(701\) 20.7188 + 9.58555i 0.782540 + 0.362041i 0.770134 0.637882i \(-0.220189\pi\)
0.0124052 + 0.999923i \(0.496051\pi\)
\(702\) 1.59822 3.73956i 0.0603210 0.141141i
\(703\) 0.477858 0.190396i 0.0180228 0.00718093i
\(704\) −6.40571 + 4.86949i −0.241424 + 0.183526i
\(705\) 0.654321 + 5.51259i 0.0246431 + 0.207616i
\(706\) 7.71870 2.60073i 0.290497 0.0978798i
\(707\) −7.56916 −0.284668
\(708\) 18.4500 7.04165i 0.693392 0.264641i
\(709\) 15.9563 0.599251 0.299625 0.954057i \(-0.403138\pi\)
0.299625 + 0.954057i \(0.403138\pi\)
\(710\) 11.9056 4.01147i 0.446810 0.150548i
\(711\) 50.4743 + 15.9109i 1.89294 + 0.596706i
\(712\) −9.99816 + 7.60040i −0.374697 + 0.284837i
\(713\) 14.3226 5.70664i 0.536386 0.213716i
\(714\) 6.32446 + 13.3254i 0.236687 + 0.498691i
\(715\) −6.22047 2.87789i −0.232632 0.107627i
\(716\) 20.3280 29.9816i 0.759694 1.12047i
\(717\) −6.24155 8.04552i −0.233095 0.300466i
\(718\) 0.415529 0.352953i 0.0155074 0.0131721i
\(719\) −9.25164 33.3214i −0.345028 1.24268i −0.908969 0.416863i \(-0.863129\pi\)
0.563941 0.825815i \(-0.309284\pi\)
\(720\) −1.72084 4.79424i −0.0641320 0.178671i
\(721\) 9.25267 4.90545i 0.344587 0.182689i
\(722\) 13.5482 + 1.47346i 0.504212 + 0.0548364i
\(723\) 13.8676 + 25.5482i 0.515742 + 0.950147i
\(724\) −6.37278 + 22.9527i −0.236842 + 0.853029i
\(725\) −5.76957 12.4707i −0.214276 0.463151i
\(726\) −5.39445 + 8.12676i −0.200207 + 0.301612i
\(727\) −2.39324 0.526792i −0.0887603 0.0195376i 0.170368 0.985380i \(-0.445504\pi\)
−0.259129 + 0.965843i \(0.583435\pi\)
\(728\) −3.95430 + 6.57210i −0.146556 + 0.243578i
\(729\) 20.4959 17.5761i 0.759106 0.650967i
\(730\) −6.04270 8.91232i −0.223650 0.329860i
\(731\) 5.19474 + 31.6865i 0.192134 + 1.17197i
\(732\) −28.7148 14.8645i −1.06133 0.549409i
\(733\) −13.5076 + 12.7951i −0.498914 + 0.472597i −0.895285 0.445494i \(-0.853028\pi\)
0.396371 + 0.918091i \(0.370270\pi\)
\(734\) 10.6190 11.2104i 0.391955 0.413782i
\(735\) −2.13087 0.824881i −0.0785982 0.0304262i
\(736\) 37.5685 8.26945i 1.38479 0.304816i
\(737\) 8.87952 26.3535i 0.327081 0.970743i
\(738\) −8.52704 + 3.59294i −0.313885 + 0.132258i
\(739\) 7.29503 + 33.1417i 0.268352 + 1.21914i 0.897206 + 0.441612i \(0.145593\pi\)
−0.628854 + 0.777523i \(0.716476\pi\)
\(740\) 0.407681 + 7.51923i 0.0149866 + 0.276412i
\(741\) −0.256588 + 0.105163i −0.00942598 + 0.00386325i
\(742\) −10.8461 11.4501i −0.398172 0.420345i
\(743\) 19.3042 + 1.04664i 0.708203 + 0.0383976i 0.404722 0.914440i \(-0.367368\pi\)
0.303481 + 0.952838i \(0.401851\pi\)
\(744\) −9.80959 2.62022i −0.359637 0.0960621i
\(745\) 10.9241 7.40671i 0.400227 0.271361i
\(746\) 14.7630 1.60557i 0.540511 0.0587842i
\(747\) −6.77623 36.7951i −0.247929 1.34626i
\(748\) 5.84036 26.5330i 0.213545 0.970144i
\(749\) −33.0671 5.42107i −1.20824 0.198082i
\(750\) 0.139691 + 14.2361i 0.00510080 + 0.519827i
\(751\) −5.20668 1.44563i −0.189995 0.0527517i 0.171228 0.985231i \(-0.445227\pi\)
−0.361222 + 0.932480i \(0.617640\pi\)
\(752\) −2.06422 1.56918i −0.0752742 0.0572220i
\(753\) −15.8237 + 26.8930i −0.576646 + 0.980035i
\(754\) −1.73625 3.27492i −0.0632306 0.119266i
\(755\) −1.70972 + 4.29107i −0.0622231 + 0.156168i
\(756\) −18.2508 + 11.7263i −0.663776 + 0.426481i
\(757\) −27.0744 31.8744i −0.984035 1.15850i −0.987359 0.158502i \(-0.949334\pi\)
0.00332330 0.999994i \(-0.498942\pi\)
\(758\) −4.93127 + 9.30136i −0.179112 + 0.337841i
\(759\) 42.1410 25.9220i 1.52962 0.940908i
\(760\) 0.223568 0.483235i 0.00810967 0.0175288i
\(761\) −16.6667 14.1568i −0.604168 0.513185i 0.292281 0.956333i \(-0.405586\pi\)
−0.896449 + 0.443148i \(0.853862\pi\)
\(762\) −0.934327 + 21.0518i −0.0338471 + 0.762626i
\(763\) −29.1931 38.4029i −1.05686 1.39028i
\(764\) 7.08578 4.26337i 0.256354 0.154243i
\(765\) −15.8846 9.13777i −0.574309 0.330377i
\(766\) 19.1873i 0.693264i
\(767\) 8.34231 0.702062i 0.301223 0.0253500i
\(768\) −17.6014 7.93452i −0.635134 0.286312i
\(769\) 6.81092 + 20.2141i 0.245608 + 0.728939i 0.997566 + 0.0697277i \(0.0222130\pi\)
−0.751958 + 0.659211i \(0.770890\pi\)
\(770\) −6.54790 10.8827i −0.235970 0.392185i
\(771\) 9.88322 + 42.8909i 0.355935 + 1.54468i
\(772\) 3.23066 + 8.10833i 0.116274 + 0.291825i
\(773\) −12.2011 + 14.3643i