Properties

Label 168.2.v.a.107.11
Level $168$
Weight $2$
Character 168.107
Analytic conductor $1.341$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 168 = 2^{3} \cdot 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 168.v (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.34148675396\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(28\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 107.11
Character \(\chi\) \(=\) 168.107
Dual form 168.2.v.a.11.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.450483 + 1.34055i) q^{2} +(-0.0929747 - 1.72955i) q^{3} +(-1.59413 - 1.20779i) q^{4} +(-0.187787 + 0.325257i) q^{5} +(2.36043 + 0.654497i) q^{6} +(-0.198565 - 2.63829i) q^{7} +(2.33722 - 1.59292i) q^{8} +(-2.98271 + 0.321609i) q^{9} +O(q^{10})\) \(q+(-0.450483 + 1.34055i) q^{2} +(-0.0929747 - 1.72955i) q^{3} +(-1.59413 - 1.20779i) q^{4} +(-0.187787 + 0.325257i) q^{5} +(2.36043 + 0.654497i) q^{6} +(-0.198565 - 2.63829i) q^{7} +(2.33722 - 1.59292i) q^{8} +(-2.98271 + 0.321609i) q^{9} +(-0.351427 - 0.398260i) q^{10} +(4.18624 - 2.41693i) q^{11} +(-1.94072 + 2.86943i) q^{12} -4.40701i q^{13} +(3.62620 + 0.922319i) q^{14} +(0.580009 + 0.294548i) q^{15} +(1.08250 + 3.85074i) q^{16} +(-2.39410 + 1.38223i) q^{17} +(0.912528 - 4.14334i) q^{18} +(1.83569 - 3.17951i) q^{19} +(0.692199 - 0.291695i) q^{20} +(-4.54460 + 0.588723i) q^{21} +(1.35417 + 6.70064i) q^{22} +(-3.60943 + 6.25172i) q^{23} +(-2.97234 - 3.89425i) q^{24} +(2.42947 + 4.20797i) q^{25} +(5.90780 + 1.98528i) q^{26} +(0.833557 + 5.12886i) q^{27} +(-2.86995 + 4.44560i) q^{28} -0.968468 q^{29} +(-0.656139 + 0.644841i) q^{30} +(2.78588 - 1.60843i) q^{31} +(-5.64974 - 0.283544i) q^{32} +(-4.56942 - 7.01562i) q^{33} +(-0.774447 - 3.83207i) q^{34} +(0.895411 + 0.430853i) q^{35} +(5.14327 + 3.08979i) q^{36} +(-0.459519 - 0.265303i) q^{37} +(3.43534 + 3.89315i) q^{38} +(-7.62216 + 0.409740i) q^{39} +(0.0792077 + 1.05933i) q^{40} +3.88604i q^{41} +(1.25805 - 6.35746i) q^{42} +0.747189 q^{43} +(-9.59255 - 1.20319i) q^{44} +(0.455510 - 1.03054i) q^{45} +(-6.75473 - 7.65490i) q^{46} +(5.20322 - 9.01223i) q^{47} +(6.55941 - 2.23027i) q^{48} +(-6.92114 + 1.04774i) q^{49} +(-6.73541 + 1.36120i) q^{50} +(2.61323 + 4.01220i) q^{51} +(-5.32273 + 7.02535i) q^{52} +(1.40600 + 2.43526i) q^{53} +(-7.25098 - 1.19304i) q^{54} +1.81547i q^{55} +(-4.66667 - 5.84997i) q^{56} +(-5.66981 - 2.87932i) q^{57} +(0.436278 - 1.29828i) q^{58} +(-1.65184 + 0.953689i) q^{59} +(-0.568860 - 1.17007i) q^{60} +(8.43102 + 4.86765i) q^{61} +(0.901184 + 4.45918i) q^{62} +(1.44076 + 7.80540i) q^{63} +(2.92522 - 7.44601i) q^{64} +(1.43341 + 0.827580i) q^{65} +(11.4632 - 2.96511i) q^{66} +(3.85681 + 6.68019i) q^{67} +(5.48594 + 0.688098i) q^{68} +(11.1483 + 5.66145i) q^{69} +(-0.980945 + 1.00625i) q^{70} +5.55936 q^{71} +(-6.45896 + 5.50289i) q^{72} +(-0.445737 - 0.772039i) q^{73} +(0.562657 - 0.496492i) q^{74} +(7.05203 - 4.59314i) q^{75} +(-6.76651 + 2.85143i) q^{76} +(-7.20780 - 10.5646i) q^{77} +(2.88438 - 10.4024i) q^{78} +(11.3282 + 6.54032i) q^{79} +(-1.45576 - 0.371028i) q^{80} +(8.79313 - 1.91854i) q^{81} +(-5.20942 - 1.75059i) q^{82} -10.1716i q^{83} +(7.95574 + 4.55041i) q^{84} -1.03826i q^{85} +(-0.336596 + 1.00164i) q^{86} +(0.0900430 + 1.67502i) q^{87} +(5.93421 - 12.3172i) q^{88} +(4.70650 + 2.71730i) q^{89} +(1.17629 + 1.07487i) q^{90} +(-11.6270 + 0.875077i) q^{91} +(13.3046 - 5.60663i) q^{92} +(-3.04088 - 4.66879i) q^{93} +(9.73736 + 11.0350i) q^{94} +(0.689440 + 1.19414i) q^{95} +(0.0348788 + 9.79790i) q^{96} +5.31623 q^{97} +(1.71331 - 9.75011i) q^{98} +(-11.7090 + 8.55533i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56 q - 2 q^{3} - 2 q^{4} - 8 q^{6} - 2 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 56 q - 2 q^{3} - 2 q^{4} - 8 q^{6} - 2 q^{9} + 6 q^{10} + 10 q^{12} - 10 q^{16} - 10 q^{18} - 4 q^{19} - 20 q^{22} - 8 q^{24} - 16 q^{25} - 8 q^{27} - 22 q^{28} - 12 q^{30} - 14 q^{33} - 56 q^{34} + 4 q^{36} + 14 q^{40} - 8 q^{42} - 16 q^{43} - 12 q^{46} + 64 q^{48} - 16 q^{49} - 34 q^{51} - 8 q^{52} + 32 q^{54} + 4 q^{57} - 18 q^{58} + 40 q^{60} + 4 q^{64} - 20 q^{66} - 36 q^{67} - 42 q^{70} + 22 q^{72} + 4 q^{73} + 104 q^{76} + 28 q^{78} - 10 q^{81} + 52 q^{82} + 4 q^{84} + 46 q^{88} + 140 q^{90} + 72 q^{91} - 46 q^{96} - 32 q^{97} - 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).

\(n\) \(73\) \(85\) \(113\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(-1\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.450483 + 1.34055i −0.318539 + 0.947910i
\(3\) −0.0929747 1.72955i −0.0536790 0.998558i
\(4\) −1.59413 1.20779i −0.797065 0.603893i
\(5\) −0.187787 + 0.325257i −0.0839810 + 0.145459i −0.904957 0.425504i \(-0.860097\pi\)
0.820976 + 0.570963i \(0.193430\pi\)
\(6\) 2.36043 + 0.654497i 0.963642 + 0.267197i
\(7\) −0.198565 2.63829i −0.0750504 0.997180i
\(8\) 2.33722 1.59292i 0.826333 0.563182i
\(9\) −2.98271 + 0.321609i −0.994237 + 0.107203i
\(10\) −0.351427 0.398260i −0.111131 0.125941i
\(11\) 4.18624 2.41693i 1.26220 0.728731i 0.288700 0.957420i \(-0.406777\pi\)
0.973500 + 0.228688i \(0.0734437\pi\)
\(12\) −1.94072 + 2.86943i −0.560237 + 0.828332i
\(13\) 4.40701i 1.22228i −0.791521 0.611142i \(-0.790710\pi\)
0.791521 0.611142i \(-0.209290\pi\)
\(14\) 3.62620 + 0.922319i 0.969143 + 0.246500i
\(15\) 0.580009 + 0.294548i 0.149758 + 0.0760518i
\(16\) 1.08250 + 3.85074i 0.270626 + 0.962685i
\(17\) −2.39410 + 1.38223i −0.580653 + 0.335240i −0.761393 0.648291i \(-0.775484\pi\)
0.180740 + 0.983531i \(0.442151\pi\)
\(18\) 0.912528 4.14334i 0.215085 0.976595i
\(19\) 1.83569 3.17951i 0.421137 0.729431i −0.574914 0.818214i \(-0.694965\pi\)
0.996051 + 0.0887833i \(0.0282979\pi\)
\(20\) 0.692199 0.291695i 0.154780 0.0652251i
\(21\) −4.54460 + 0.588723i −0.991713 + 0.128470i
\(22\) 1.35417 + 6.70064i 0.288711 + 1.42858i
\(23\) −3.60943 + 6.25172i −0.752618 + 1.30357i 0.193932 + 0.981015i \(0.437876\pi\)
−0.946550 + 0.322558i \(0.895457\pi\)
\(24\) −2.97234 3.89425i −0.606727 0.794910i
\(25\) 2.42947 + 4.20797i 0.485894 + 0.841594i
\(26\) 5.90780 + 1.98528i 1.15862 + 0.389346i
\(27\) 0.833557 + 5.12886i 0.160418 + 0.987049i
\(28\) −2.86995 + 4.44560i −0.542370 + 0.840140i
\(29\) −0.968468 −0.179840 −0.0899200 0.995949i \(-0.528661\pi\)
−0.0899200 + 0.995949i \(0.528661\pi\)
\(30\) −0.656139 + 0.644841i −0.119794 + 0.117731i
\(31\) 2.78588 1.60843i 0.500359 0.288883i −0.228503 0.973543i \(-0.573383\pi\)
0.728862 + 0.684661i \(0.240050\pi\)
\(32\) −5.64974 0.283544i −0.998743 0.0501240i
\(33\) −4.56942 7.01562i −0.795434 1.22126i
\(34\) −0.774447 3.83207i −0.132817 0.657194i
\(35\) 0.895411 + 0.430853i 0.151352 + 0.0728274i
\(36\) 5.14327 + 3.08979i 0.857211 + 0.514965i
\(37\) −0.459519 0.265303i −0.0755445 0.0436156i 0.461752 0.887009i \(-0.347221\pi\)
−0.537296 + 0.843393i \(0.680554\pi\)
\(38\) 3.43534 + 3.89315i 0.557285 + 0.631552i
\(39\) −7.62216 + 0.409740i −1.22052 + 0.0656110i
\(40\) 0.0792077 + 1.05933i 0.0125238 + 0.167495i
\(41\) 3.88604i 0.606897i 0.952848 + 0.303449i \(0.0981381\pi\)
−0.952848 + 0.303449i \(0.901862\pi\)
\(42\) 1.25805 6.35746i 0.194122 0.980977i
\(43\) 0.747189 0.113945 0.0569726 0.998376i \(-0.481855\pi\)
0.0569726 + 0.998376i \(0.481855\pi\)
\(44\) −9.59255 1.20319i −1.44613 0.181387i
\(45\) 0.455510 1.03054i 0.0679034 0.153624i
\(46\) −6.75473 7.65490i −0.995931 1.12865i
\(47\) 5.20322 9.01223i 0.758967 1.31457i −0.184411 0.982849i \(-0.559038\pi\)
0.943378 0.331720i \(-0.107629\pi\)
\(48\) 6.55941 2.23027i 0.946770 0.321912i
\(49\) −6.92114 + 1.04774i −0.988735 + 0.149678i
\(50\) −6.73541 + 1.36120i −0.952531 + 0.192503i
\(51\) 2.61323 + 4.01220i 0.365926 + 0.561821i
\(52\) −5.32273 + 7.02535i −0.738129 + 0.974240i
\(53\) 1.40600 + 2.43526i 0.193129 + 0.334509i 0.946285 0.323332i \(-0.104803\pi\)
−0.753157 + 0.657841i \(0.771470\pi\)
\(54\) −7.25098 1.19304i −0.986733 0.162352i
\(55\) 1.81547i 0.244798i
\(56\) −4.66667 5.84997i −0.623610 0.781735i
\(57\) −5.66981 2.87932i −0.750985 0.381375i
\(58\) 0.436278 1.29828i 0.0572861 0.170472i
\(59\) −1.65184 + 0.953689i −0.215051 + 0.124160i −0.603657 0.797244i \(-0.706290\pi\)
0.388606 + 0.921404i \(0.372957\pi\)
\(60\) −0.568860 1.17007i −0.0734395 0.151056i
\(61\) 8.43102 + 4.86765i 1.07948 + 0.623239i 0.930756 0.365640i \(-0.119150\pi\)
0.148725 + 0.988879i \(0.452483\pi\)
\(62\) 0.901184 + 4.45918i 0.114450 + 0.566316i
\(63\) 1.44076 + 7.80540i 0.181519 + 0.983387i
\(64\) 2.92522 7.44601i 0.365652 0.930752i
\(65\) 1.43341 + 0.827580i 0.177793 + 0.102649i
\(66\) 11.4632 2.96511i 1.41102 0.364980i
\(67\) 3.85681 + 6.68019i 0.471184 + 0.816115i 0.999457 0.0329601i \(-0.0104934\pi\)
−0.528273 + 0.849075i \(0.677160\pi\)
\(68\) 5.48594 + 0.688098i 0.665268 + 0.0834441i
\(69\) 11.1483 + 5.66145i 1.34209 + 0.681559i
\(70\) −0.980945 + 1.00625i −0.117245 + 0.120270i
\(71\) 5.55936 0.659774 0.329887 0.944020i \(-0.392989\pi\)
0.329887 + 0.944020i \(0.392989\pi\)
\(72\) −6.45896 + 5.50289i −0.761196 + 0.648522i
\(73\) −0.445737 0.772039i −0.0521696 0.0903603i 0.838761 0.544499i \(-0.183280\pi\)
−0.890931 + 0.454139i \(0.849947\pi\)
\(74\) 0.562657 0.496492i 0.0654076 0.0577160i
\(75\) 7.05203 4.59314i 0.814298 0.530370i
\(76\) −6.76651 + 2.85143i −0.776172 + 0.327082i
\(77\) −7.20780 10.5646i −0.821405 1.20395i
\(78\) 2.88438 10.4024i 0.326591 1.17784i
\(79\) 11.3282 + 6.54032i 1.27452 + 0.735844i 0.975835 0.218509i \(-0.0701192\pi\)
0.298684 + 0.954352i \(0.403453\pi\)
\(80\) −1.45576 0.371028i −0.162759 0.0414821i
\(81\) 8.79313 1.91854i 0.977015 0.213171i
\(82\) −5.20942 1.75059i −0.575284 0.193321i
\(83\) 10.1716i 1.11648i −0.829680 0.558239i \(-0.811477\pi\)
0.829680 0.558239i \(-0.188523\pi\)
\(84\) 7.95574 + 4.55041i 0.868042 + 0.496490i
\(85\) 1.03826i 0.112615i
\(86\) −0.336596 + 1.00164i −0.0362961 + 0.108010i
\(87\) 0.0900430 + 1.67502i 0.00965362 + 0.179581i
\(88\) 5.93421 12.3172i 0.632589 1.31302i
\(89\) 4.70650 + 2.71730i 0.498888 + 0.288033i 0.728254 0.685307i \(-0.240332\pi\)
−0.229366 + 0.973340i \(0.573665\pi\)
\(90\) 1.17629 + 1.07487i 0.123992 + 0.113302i
\(91\) −11.6270 + 0.875077i −1.21884 + 0.0917330i
\(92\) 13.3046 5.60663i 1.38710 0.584532i
\(93\) −3.04088 4.66879i −0.315325 0.484131i
\(94\) 9.73736 + 11.0350i 1.00433 + 1.13817i
\(95\) 0.689440 + 1.19414i 0.0707350 + 0.122517i
\(96\) 0.0348788 + 9.79790i 0.00355980 + 0.999994i
\(97\) 5.31623 0.539781 0.269891 0.962891i \(-0.413012\pi\)
0.269891 + 0.962891i \(0.413012\pi\)
\(98\) 1.71331 9.75011i 0.173070 0.984909i
\(99\) −11.7090 + 8.55533i −1.17680 + 0.859843i
\(100\) 1.20943 9.64233i 0.120943 0.964233i
\(101\) 7.63384 + 13.2222i 0.759595 + 1.31566i 0.943057 + 0.332631i \(0.107936\pi\)
−0.183462 + 0.983027i \(0.558730\pi\)
\(102\) −6.55576 + 1.69573i −0.649117 + 0.167903i
\(103\) −11.9461 6.89709i −1.17709 0.679591i −0.221747 0.975104i \(-0.571176\pi\)
−0.955338 + 0.295514i \(0.904509\pi\)
\(104\) −7.02001 10.3002i −0.688369 1.01001i
\(105\) 0.661932 1.58872i 0.0645980 0.155043i
\(106\) −3.89796 + 0.787763i −0.378603 + 0.0765143i
\(107\) −15.4735 8.93365i −1.49588 0.863649i −0.495895 0.868382i \(-0.665160\pi\)
−0.999989 + 0.00473355i \(0.998493\pi\)
\(108\) 4.86577 9.18283i 0.468208 0.883618i
\(109\) −3.69540 + 2.13354i −0.353955 + 0.204356i −0.666426 0.745571i \(-0.732177\pi\)
0.312471 + 0.949927i \(0.398843\pi\)
\(110\) −2.43373 0.817840i −0.232047 0.0779780i
\(111\) −0.416133 + 0.819429i −0.0394976 + 0.0777768i
\(112\) 9.94442 3.62058i 0.939659 0.342113i
\(113\) 11.0965i 1.04387i 0.852986 + 0.521933i \(0.174789\pi\)
−0.852986 + 0.521933i \(0.825211\pi\)
\(114\) 6.41401 6.30357i 0.600727 0.590383i
\(115\) −1.35561 2.34799i −0.126411 0.218951i
\(116\) 1.54386 + 1.16970i 0.143344 + 0.108604i
\(117\) 1.41734 + 13.1448i 0.131033 + 1.21524i
\(118\) −0.534340 2.64399i −0.0491900 0.243399i
\(119\) 4.12211 + 6.04185i 0.377873 + 0.553856i
\(120\) 1.82480 0.235485i 0.166581 0.0214967i
\(121\) 6.18308 10.7094i 0.562099 0.973583i
\(122\) −10.3233 + 9.10938i −0.934632 + 0.824725i
\(123\) 6.72111 0.361303i 0.606022 0.0325776i
\(124\) −6.38370 0.800704i −0.573273 0.0719053i
\(125\) −3.70277 −0.331186
\(126\) −11.1125 1.58479i −0.989983 0.141184i
\(127\) 5.11149i 0.453572i −0.973945 0.226786i \(-0.927178\pi\)
0.973945 0.226786i \(-0.0728217\pi\)
\(128\) 8.66397 + 7.27569i 0.765794 + 0.643086i
\(129\) −0.0694697 1.29230i −0.00611647 0.113781i
\(130\) −1.75514 + 1.54874i −0.153936 + 0.135834i
\(131\) −9.21193 5.31851i −0.804850 0.464680i 0.0403145 0.999187i \(-0.487164\pi\)
−0.845164 + 0.534507i \(0.820497\pi\)
\(132\) −1.18911 + 16.7027i −0.103499 + 1.45378i
\(133\) −8.75298 4.21175i −0.758980 0.365205i
\(134\) −10.6925 + 2.16092i −0.923694 + 0.186675i
\(135\) −1.82473 0.692014i −0.157048 0.0595591i
\(136\) −3.39375 + 7.04418i −0.291012 + 0.604034i
\(137\) 0.319180 0.184279i 0.0272694 0.0157440i −0.486303 0.873790i \(-0.661655\pi\)
0.513573 + 0.858046i \(0.328322\pi\)
\(138\) −12.6115 + 12.3944i −1.07357 + 1.05508i
\(139\) 8.70744 0.738555 0.369278 0.929319i \(-0.379605\pi\)
0.369278 + 0.929319i \(0.379605\pi\)
\(140\) −0.907023 1.76830i −0.0766575 0.149449i
\(141\) −16.0709 8.16133i −1.35341 0.687308i
\(142\) −2.50439 + 7.45258i −0.210164 + 0.625406i
\(143\) −10.6514 18.4488i −0.890717 1.54277i
\(144\) −4.46723 11.1375i −0.372269 0.928125i
\(145\) 0.181866 0.315001i 0.0151031 0.0261594i
\(146\) 1.23575 0.249741i 0.102271 0.0206687i
\(147\) 2.45562 + 11.8731i 0.202536 + 0.979275i
\(148\) 0.412103 + 0.977929i 0.0338747 + 0.0803853i
\(149\) 7.63384 13.2222i 0.625388 1.08320i −0.363077 0.931759i \(-0.618274\pi\)
0.988466 0.151445i \(-0.0483928\pi\)
\(150\) 2.98050 + 11.5227i 0.243357 + 0.940825i
\(151\) −8.05314 + 4.64948i −0.655355 + 0.378369i −0.790505 0.612456i \(-0.790182\pi\)
0.135150 + 0.990825i \(0.456848\pi\)
\(152\) −0.774286 10.3553i −0.0628029 0.839929i
\(153\) 6.69636 4.89276i 0.541368 0.395556i
\(154\) 17.4093 4.90322i 1.40288 0.395112i
\(155\) 1.20817i 0.0970427i
\(156\) 12.6456 + 8.55276i 1.01246 + 0.684769i
\(157\) 4.93578 2.84967i 0.393918 0.227429i −0.289938 0.957045i \(-0.593635\pi\)
0.683856 + 0.729617i \(0.260302\pi\)
\(158\) −13.8708 + 12.2396i −1.10350 + 0.973733i
\(159\) 4.08119 2.65817i 0.323660 0.210806i
\(160\) 1.15317 1.78437i 0.0911665 0.141067i
\(161\) 17.2105 + 8.28135i 1.35638 + 0.652662i
\(162\) −1.38927 + 12.6519i −0.109151 + 0.994025i
\(163\) 3.31035 5.73369i 0.259286 0.449097i −0.706765 0.707449i \(-0.749846\pi\)
0.966051 + 0.258352i \(0.0831793\pi\)
\(164\) 4.69350 6.19485i 0.366501 0.483737i
\(165\) 3.13996 0.168793i 0.244446 0.0131405i
\(166\) 13.6355 + 4.58213i 1.05832 + 0.355642i
\(167\) −7.38941 −0.571809 −0.285905 0.958258i \(-0.592294\pi\)
−0.285905 + 0.958258i \(0.592294\pi\)
\(168\) −9.68396 + 8.61516i −0.747134 + 0.664674i
\(169\) −6.42173 −0.493979
\(170\) 1.39184 + 0.467719i 0.106749 + 0.0358724i
\(171\) −4.45278 + 10.0739i −0.340513 + 0.770374i
\(172\) −1.19112 0.902445i −0.0908218 0.0688108i
\(173\) −3.21644 + 5.57103i −0.244541 + 0.423558i −0.962003 0.273041i \(-0.911971\pi\)
0.717461 + 0.696598i \(0.245304\pi\)
\(174\) −2.28600 0.633859i −0.173301 0.0480528i
\(175\) 10.6194 7.24520i 0.802754 0.547686i
\(176\) 13.8386 + 13.5038i 1.04312 + 1.01789i
\(177\) 1.80304 + 2.76827i 0.135524 + 0.208076i
\(178\) −5.76287 + 5.08519i −0.431945 + 0.381151i
\(179\) −13.0137 + 7.51347i −0.972691 + 0.561583i −0.900055 0.435775i \(-0.856474\pi\)
−0.0726352 + 0.997359i \(0.523141\pi\)
\(180\) −1.97082 + 1.09266i −0.146896 + 0.0814421i
\(181\) 2.93639i 0.218260i 0.994027 + 0.109130i \(0.0348065\pi\)
−0.994027 + 0.109130i \(0.965194\pi\)
\(182\) 4.06467 15.9807i 0.301293 1.18457i
\(183\) 7.63499 15.0345i 0.564395 1.11138i
\(184\) 1.52244 + 20.3612i 0.112236 + 1.50105i
\(185\) 0.172584 0.0996412i 0.0126886 0.00732577i
\(186\) 7.62860 1.97324i 0.559356 0.144685i
\(187\) −6.68151 + 11.5727i −0.488600 + 0.846281i
\(188\) −19.1795 + 8.08230i −1.39881 + 0.589463i
\(189\) 13.3659 3.21758i 0.972226 0.234044i
\(190\) −1.91139 + 0.386285i −0.138667 + 0.0280240i
\(191\) −6.73560 + 11.6664i −0.487371 + 0.844151i −0.999895 0.0145218i \(-0.995377\pi\)
0.512524 + 0.858673i \(0.328711\pi\)
\(192\) −13.1502 4.36703i −0.949038 0.315163i
\(193\) 4.01964 + 6.96221i 0.289340 + 0.501151i 0.973652 0.228038i \(-0.0732310\pi\)
−0.684313 + 0.729189i \(0.739898\pi\)
\(194\) −2.39487 + 7.12665i −0.171942 + 0.511664i
\(195\) 1.29807 2.55611i 0.0929570 0.183047i
\(196\) 12.2987 + 6.68902i 0.878475 + 0.477787i
\(197\) −17.6399 −1.25679 −0.628395 0.777894i \(-0.716288\pi\)
−0.628395 + 0.777894i \(0.716288\pi\)
\(198\) −6.19410 19.5506i −0.440196 1.38940i
\(199\) −17.5362 + 10.1245i −1.24311 + 0.717708i −0.969725 0.244198i \(-0.921475\pi\)
−0.273381 + 0.961906i \(0.588142\pi\)
\(200\) 12.3812 + 5.96501i 0.875481 + 0.421790i
\(201\) 11.1952 7.29164i 0.789645 0.514313i
\(202\) −21.1639 + 4.27714i −1.48909 + 0.300939i
\(203\) 0.192304 + 2.55510i 0.0134971 + 0.179333i
\(204\) 0.680049 9.55220i 0.0476129 0.668788i
\(205\) −1.26396 0.729749i −0.0882789 0.0509679i
\(206\) 14.6274 12.9073i 1.01914 0.899294i
\(207\) 8.75528 19.8079i 0.608534 1.37674i
\(208\) 16.9702 4.77061i 1.17667 0.330782i
\(209\) 17.7470i 1.22758i
\(210\) 1.83156 + 1.60304i 0.126390 + 0.110620i
\(211\) 4.05029 0.278833 0.139417 0.990234i \(-0.455477\pi\)
0.139417 + 0.990234i \(0.455477\pi\)
\(212\) 0.699930 5.58027i 0.0480714 0.383254i
\(213\) −0.516879 9.61520i −0.0354160 0.658823i
\(214\) 18.9465 16.7185i 1.29516 1.14286i
\(215\) −0.140313 + 0.243029i −0.00956924 + 0.0165744i
\(216\) 10.1181 + 10.6595i 0.688447 + 0.725286i
\(217\) −4.79668 7.03059i −0.325620 0.477268i
\(218\) −1.19540 5.91498i −0.0809624 0.400613i
\(219\) −1.29384 + 0.842706i −0.0874296 + 0.0569448i
\(220\) 2.19270 2.89410i 0.147832 0.195120i
\(221\) 6.09151 + 10.5508i 0.409759 + 0.709724i
\(222\) −0.911023 0.926984i −0.0611438 0.0622151i
\(223\) 12.1649i 0.814623i 0.913289 + 0.407312i \(0.133534\pi\)
−0.913289 + 0.407312i \(0.866466\pi\)
\(224\) 0.373769 + 14.9620i 0.0249735 + 0.999688i
\(225\) −8.59974 11.7698i −0.573316 0.784654i
\(226\) −14.8753 4.99876i −0.989491 0.332513i
\(227\) 12.7274 7.34817i 0.844748 0.487715i −0.0141276 0.999900i \(-0.504497\pi\)
0.858875 + 0.512185i \(0.171164\pi\)
\(228\) 5.56082 + 11.4379i 0.368275 + 0.757495i
\(229\) −14.0706 8.12366i −0.929811 0.536826i −0.0430590 0.999073i \(-0.513710\pi\)
−0.886752 + 0.462246i \(0.847044\pi\)
\(230\) 3.75826 0.759532i 0.247813 0.0500820i
\(231\) −17.6019 + 13.4485i −1.15812 + 0.884847i
\(232\) −2.26352 + 1.54269i −0.148608 + 0.101283i
\(233\) 8.34905 + 4.82033i 0.546965 + 0.315790i 0.747897 0.663815i \(-0.231064\pi\)
−0.200932 + 0.979605i \(0.564397\pi\)
\(234\) −18.2598 4.02152i −1.19368 0.262895i
\(235\) 1.95420 + 3.38477i 0.127478 + 0.220798i
\(236\) 3.78510 + 0.474763i 0.246389 + 0.0309044i
\(237\) 10.2586 20.2008i 0.666368 1.31218i
\(238\) −9.95633 + 2.80413i −0.645373 + 0.181765i
\(239\) 18.9559 1.22615 0.613076 0.790024i \(-0.289932\pi\)
0.613076 + 0.790024i \(0.289932\pi\)
\(240\) −0.506363 + 2.55231i −0.0326856 + 0.164751i
\(241\) −9.74116 16.8722i −0.627483 1.08683i −0.988055 0.154102i \(-0.950752\pi\)
0.360572 0.932732i \(-0.382582\pi\)
\(242\) 11.5711 + 13.1131i 0.743818 + 0.842943i
\(243\) −4.13575 15.0298i −0.265309 0.964164i
\(244\) −7.56106 17.9425i −0.484047 1.14865i
\(245\) 0.958917 2.44790i 0.0612630 0.156391i
\(246\) −2.54340 + 9.17272i −0.162161 + 0.584832i
\(247\) −14.0121 8.08992i −0.891572 0.514749i
\(248\) 3.94913 8.19695i 0.250770 0.520507i
\(249\) −17.5923 + 0.945702i −1.11487 + 0.0599314i
\(250\) 1.66803 4.96373i 0.105496 0.313934i
\(251\) 3.37389i 0.212958i −0.994315 0.106479i \(-0.966042\pi\)
0.994315 0.106479i \(-0.0339577\pi\)
\(252\) 7.13049 14.1830i 0.449179 0.893442i
\(253\) 34.8949i 2.19383i
\(254\) 6.85219 + 2.30264i 0.429945 + 0.144480i
\(255\) −1.79573 + 0.0965321i −0.112453 + 0.00604507i
\(256\) −13.6564 + 8.33688i −0.853523 + 0.521055i
\(257\) −8.98721 5.18877i −0.560607 0.323666i 0.192782 0.981242i \(-0.438249\pi\)
−0.753389 + 0.657575i \(0.771582\pi\)
\(258\) 1.76369 + 0.489033i 0.109802 + 0.0304459i
\(259\) −0.608703 + 1.26502i −0.0378230 + 0.0786048i
\(260\) −1.28550 3.05053i −0.0797236 0.189186i
\(261\) 2.88866 0.311468i 0.178804 0.0192794i
\(262\) 11.2795 9.95312i 0.696851 0.614906i
\(263\) 9.47852 + 16.4173i 0.584471 + 1.01233i 0.994941 + 0.100459i \(0.0320312\pi\)
−0.410470 + 0.911874i \(0.634636\pi\)
\(264\) −21.8551 9.11834i −1.34509 0.561195i
\(265\) −1.05611 −0.0648766
\(266\) 9.58912 9.83646i 0.587946 0.603112i
\(267\) 4.26213 8.39279i 0.260838 0.513630i
\(268\) 1.91998 15.3073i 0.117282 0.935042i
\(269\) 11.7184 + 20.2968i 0.714481 + 1.23752i 0.963159 + 0.268932i \(0.0866706\pi\)
−0.248678 + 0.968586i \(0.579996\pi\)
\(270\) 1.74969 2.13439i 0.106483 0.129895i
\(271\) 22.6598 + 13.0826i 1.37648 + 0.794713i 0.991734 0.128308i \(-0.0409545\pi\)
0.384750 + 0.923021i \(0.374288\pi\)
\(272\) −7.91423 7.72276i −0.479871 0.468261i
\(273\) 2.59451 + 20.0281i 0.157027 + 1.21216i
\(274\) 0.103249 + 0.510890i 0.00623751 + 0.0308640i
\(275\) 20.3407 + 11.7437i 1.22659 + 0.708173i
\(276\) −10.9340 22.4898i −0.658147 1.35373i
\(277\) 5.57328 3.21774i 0.334866 0.193335i −0.323133 0.946353i \(-0.604736\pi\)
0.657999 + 0.753018i \(0.271403\pi\)
\(278\) −3.92255 + 11.6727i −0.235259 + 0.700083i
\(279\) −7.79220 + 5.69345i −0.466507 + 0.340858i
\(280\) 2.77909 0.419318i 0.166082 0.0250591i
\(281\) 9.50336i 0.566923i −0.958984 0.283462i \(-0.908517\pi\)
0.958984 0.283462i \(-0.0914828\pi\)
\(282\) 18.1803 17.8673i 1.08262 1.06398i
\(283\) −12.9403 22.4133i −0.769224 1.33233i −0.937984 0.346678i \(-0.887310\pi\)
0.168761 0.985657i \(-0.446024\pi\)
\(284\) −8.86234 6.71451i −0.525883 0.398433i
\(285\) 2.00124 1.30345i 0.118543 0.0772096i
\(286\) 29.5298 5.96786i 1.74613 0.352887i
\(287\) 10.2525 0.771630i 0.605186 0.0455479i
\(288\) 16.9427 0.971281i 0.998361 0.0572333i
\(289\) −4.67887 + 8.10404i −0.275228 + 0.476709i
\(290\) 0.340346 + 0.385702i 0.0199858 + 0.0226492i
\(291\) −0.494275 9.19470i −0.0289749 0.539003i
\(292\) −0.221895 + 1.76909i −0.0129854 + 0.103528i
\(293\) −14.8775 −0.869153 −0.434576 0.900635i \(-0.643102\pi\)
−0.434576 + 0.900635i \(0.643102\pi\)
\(294\) −17.0226 2.05675i −0.992780 0.119952i
\(295\) 0.716363i 0.0417083i
\(296\) −1.49661 + 0.111904i −0.0869884 + 0.00650427i
\(297\) 15.8856 + 19.4560i 0.921773 + 1.12895i
\(298\) 14.2861 + 16.1899i 0.827569 + 0.937855i
\(299\) 27.5514 + 15.9068i 1.59334 + 0.919913i
\(300\) −16.7894 1.19528i −0.969335 0.0690098i
\(301\) −0.148365 1.97130i −0.00855164 0.113624i
\(302\) −2.60505 12.8901i −0.149904 0.741743i
\(303\) 22.1587 14.4325i 1.27299 0.829123i
\(304\) 14.2306 + 3.62694i 0.816182 + 0.208019i
\(305\) −3.16648 + 1.82817i −0.181312 + 0.104681i
\(306\) 3.54238 + 11.1809i 0.202504 + 0.639168i
\(307\) −14.4651 −0.825566 −0.412783 0.910830i \(-0.635443\pi\)
−0.412783 + 0.910830i \(0.635443\pi\)
\(308\) −1.26961 + 25.5468i −0.0723430 + 1.45567i
\(309\) −10.8182 + 21.3027i −0.615426 + 1.21187i
\(310\) −1.61961 0.544260i −0.0919877 0.0309119i
\(311\) −14.6310 25.3417i −0.829649 1.43699i −0.898314 0.439354i \(-0.855207\pi\)
0.0686650 0.997640i \(-0.478126\pi\)
\(312\) −17.1620 + 13.0991i −0.971607 + 0.741593i
\(313\) −14.5480 + 25.1978i −0.822300 + 1.42427i 0.0816651 + 0.996660i \(0.473976\pi\)
−0.903965 + 0.427606i \(0.859357\pi\)
\(314\) 1.59664 + 7.90037i 0.0901034 + 0.445843i
\(315\) −2.80932 0.997137i −0.158287 0.0561823i
\(316\) −10.1593 24.1081i −0.571504 1.35619i
\(317\) 13.8872 24.0533i 0.779983 1.35097i −0.151967 0.988385i \(-0.548561\pi\)
0.931951 0.362585i \(-0.118106\pi\)
\(318\) 1.72489 + 6.66849i 0.0967271 + 0.373950i
\(319\) −4.05424 + 2.34072i −0.226994 + 0.131055i
\(320\) 1.87255 + 2.34971i 0.104679 + 0.131353i
\(321\) −14.0126 + 27.5929i −0.782106 + 1.54009i
\(322\) −18.8546 + 19.3409i −1.05073 + 1.07783i
\(323\) 10.1494i 0.564728i
\(324\) −16.3346 7.56183i −0.907477 0.420102i
\(325\) 18.5446 10.7067i 1.02867 0.593901i
\(326\) 6.19502 + 7.02060i 0.343111 + 0.388835i
\(327\) 4.03365 + 6.19303i 0.223061 + 0.342475i
\(328\) 6.19015 + 9.08254i 0.341794 + 0.501499i
\(329\) −24.8101 11.9381i −1.36782 0.658168i
\(330\) −1.18822 + 4.28530i −0.0654095 + 0.235898i
\(331\) −0.378164 + 0.654999i −0.0207858 + 0.0360020i −0.876231 0.481891i \(-0.839950\pi\)
0.855445 + 0.517893i \(0.173283\pi\)
\(332\) −12.2851 + 16.2149i −0.674234 + 0.889906i
\(333\) 1.45594 + 0.643538i 0.0797848 + 0.0352657i
\(334\) 3.32880 9.90584i 0.182144 0.542024i
\(335\) −2.89704 −0.158282
\(336\) −7.18657 16.8628i −0.392059 0.919940i
\(337\) 29.0613 1.58307 0.791534 0.611125i \(-0.209283\pi\)
0.791534 + 0.611125i \(0.209283\pi\)
\(338\) 2.89288 8.60863i 0.157352 0.468247i
\(339\) 19.1919 1.03169i 1.04236 0.0560337i
\(340\) −1.25400 + 1.65513i −0.0680076 + 0.0897618i
\(341\) 7.77492 13.4666i 0.421036 0.729255i
\(342\) −11.4987 10.5073i −0.621778 0.568170i
\(343\) 4.13854 + 18.0519i 0.223460 + 0.974713i
\(344\) 1.74635 1.19021i 0.0941567 0.0641719i
\(345\) −3.93493 + 2.56290i −0.211850 + 0.137982i
\(346\) −6.01928 6.82144i −0.323598 0.366723i
\(347\) 5.20535 3.00531i 0.279438 0.161334i −0.353731 0.935347i \(-0.615087\pi\)
0.633169 + 0.774014i \(0.281754\pi\)
\(348\) 1.87952 2.77895i 0.100753 0.148967i
\(349\) 28.4268i 1.52165i 0.648956 + 0.760826i \(0.275206\pi\)
−0.648956 + 0.760826i \(0.724794\pi\)
\(350\) 4.92866 + 17.4997i 0.263448 + 0.935397i
\(351\) 22.6029 3.67350i 1.20645 0.196077i
\(352\) −24.3365 + 12.4680i −1.29714 + 0.664549i
\(353\) −21.7376 + 12.5502i −1.15698 + 0.667982i −0.950578 0.310486i \(-0.899508\pi\)
−0.206400 + 0.978468i \(0.566175\pi\)
\(354\) −4.52324 + 1.16999i −0.240407 + 0.0621845i
\(355\) −1.04398 + 1.80822i −0.0554085 + 0.0959704i
\(356\) −4.22086 10.0162i −0.223705 0.530857i
\(357\) 10.0665 7.69115i 0.532773 0.407059i
\(358\) −4.20970 20.8302i −0.222490 1.10091i
\(359\) −10.7300 + 18.5850i −0.566309 + 0.980876i 0.430617 + 0.902535i \(0.358296\pi\)
−0.996927 + 0.0783417i \(0.975037\pi\)
\(360\) −0.576944 3.13420i −0.0304076 0.165187i
\(361\) 2.76046 + 4.78126i 0.145287 + 0.251645i
\(362\) −3.93636 1.32279i −0.206891 0.0695244i
\(363\) −19.0974 9.69827i −1.00235 0.509027i
\(364\) 19.5918 + 12.6479i 1.02689 + 0.662930i
\(365\) 0.334815 0.0175250
\(366\) 16.7150 + 17.0078i 0.873706 + 0.889014i
\(367\) 13.0996 7.56304i 0.683792 0.394788i −0.117490 0.993074i \(-0.537485\pi\)
0.801282 + 0.598286i \(0.204152\pi\)
\(368\) −27.9809 7.13146i −1.45861 0.371753i
\(369\) −1.24979 11.5909i −0.0650613 0.603400i
\(370\) 0.0558277 + 0.276243i 0.00290235 + 0.0143612i
\(371\) 6.14574 4.19299i 0.319071 0.217689i
\(372\) −0.791337 + 11.1154i −0.0410289 + 0.576307i
\(373\) −15.7355 9.08488i −0.814752 0.470397i 0.0338512 0.999427i \(-0.489223\pi\)
−0.848603 + 0.529029i \(0.822556\pi\)
\(374\) −12.5039 14.1702i −0.646559 0.732723i
\(375\) 0.344264 + 6.40414i 0.0177777 + 0.330708i
\(376\) −2.19469 29.3519i −0.113182 1.51371i
\(377\) 4.26805i 0.219816i
\(378\) −1.70780 + 19.3671i −0.0878395 + 0.996135i
\(379\) 25.7493 1.32265 0.661327 0.750098i \(-0.269994\pi\)
0.661327 + 0.750098i \(0.269994\pi\)
\(380\) 0.343215 2.73632i 0.0176065 0.140370i
\(381\) −8.84060 + 0.475239i −0.452918 + 0.0243473i
\(382\) −12.6051 14.2849i −0.644932 0.730879i
\(383\) −6.66796 + 11.5492i −0.340717 + 0.590139i −0.984566 0.175013i \(-0.944003\pi\)
0.643849 + 0.765153i \(0.277336\pi\)
\(384\) 11.7782 15.6613i 0.601052 0.799210i
\(385\) 4.78975 0.360489i 0.244108 0.0183722i
\(386\) −11.1439 + 2.25215i −0.567212 + 0.114631i
\(387\) −2.22865 + 0.240303i −0.113289 + 0.0122153i
\(388\) −8.47476 6.42087i −0.430241 0.325970i
\(389\) −10.4385 18.0801i −0.529255 0.916696i −0.999418 0.0341165i \(-0.989138\pi\)
0.470163 0.882580i \(-0.344195\pi\)
\(390\) 2.84182 + 2.89161i 0.143901 + 0.146422i
\(391\) 19.9563i 1.00923i
\(392\) −14.5073 + 13.4736i −0.732728 + 0.680521i
\(393\) −8.34217 + 16.4270i −0.420807 + 0.828633i
\(394\) 7.94647 23.6471i 0.400337 1.19132i
\(395\) −4.25457 + 2.45638i −0.214071 + 0.123594i
\(396\) 28.9988 + 0.503707i 1.45724 + 0.0253122i
\(397\) −12.4606 7.19413i −0.625379 0.361063i 0.153581 0.988136i \(-0.450919\pi\)
−0.778960 + 0.627073i \(0.784253\pi\)
\(398\) −5.67264 28.0690i −0.284344 1.40697i
\(399\) −6.47064 + 15.5303i −0.323937 + 0.777489i
\(400\) −13.5739 + 13.9104i −0.678694 + 0.695520i
\(401\) −10.7223 6.19052i −0.535446 0.309140i 0.207785 0.978174i \(-0.433374\pi\)
−0.743231 + 0.669035i \(0.766708\pi\)
\(402\) 4.73156 + 18.2924i 0.235989 + 0.912341i
\(403\) −7.08837 12.2774i −0.353097 0.611581i
\(404\) 3.80025 30.2980i 0.189070 1.50738i
\(405\) −1.02722 + 3.22031i −0.0510430 + 0.160018i
\(406\) −3.51186 0.893236i −0.174291 0.0443306i
\(407\) −2.56488 −0.127136
\(408\) 12.4988 + 5.21474i 0.618784 + 0.258168i
\(409\) 6.18520 + 10.7131i 0.305839 + 0.529728i 0.977448 0.211178i \(-0.0677299\pi\)
−0.671609 + 0.740906i \(0.734397\pi\)
\(410\) 1.54766 1.36566i 0.0764332 0.0674452i
\(411\) −0.348396 0.534906i −0.0171851 0.0263850i
\(412\) 10.7134 + 25.4232i 0.527814 + 1.25251i
\(413\) 2.84411 + 4.16866i 0.139949 + 0.205126i
\(414\) 22.6093 + 20.6600i 1.11119 + 1.01538i
\(415\) 3.30839 + 1.91010i 0.162402 + 0.0937630i
\(416\) −1.24958 + 24.8985i −0.0612657 + 1.22075i
\(417\) −0.809571 15.0600i −0.0396449 0.737490i
\(418\) 23.7906 + 7.99470i 1.16364 + 0.391033i
\(419\) 34.6654i 1.69352i 0.531977 + 0.846759i \(0.321449\pi\)
−0.531977 + 0.846759i \(0.678551\pi\)
\(420\) −2.97404 + 1.73315i −0.145118 + 0.0845692i
\(421\) 14.1870i 0.691432i −0.938339 0.345716i \(-0.887636\pi\)
0.938339 0.345716i \(-0.112364\pi\)
\(422\) −1.82458 + 5.42960i −0.0888194 + 0.264309i
\(423\) −12.6213 + 28.5543i −0.613667 + 1.38836i
\(424\) 7.16530 + 3.45210i 0.347978 + 0.167649i
\(425\) −11.6328 6.71618i −0.564272 0.325783i
\(426\) 13.1225 + 3.63858i 0.635786 + 0.176290i
\(427\) 11.1682 23.2100i 0.540466 1.12321i
\(428\) 13.8769 + 32.9301i 0.670765 + 1.59174i
\(429\) −30.9179 + 20.1375i −1.49273 + 0.972247i
\(430\) −0.262583 0.297576i −0.0126629 0.0143504i
\(431\) −5.38724 9.33097i −0.259494 0.449457i 0.706612 0.707601i \(-0.250223\pi\)
−0.966107 + 0.258144i \(0.916889\pi\)
\(432\) −18.8476 + 8.76182i −0.906804 + 0.421553i
\(433\) −12.9960 −0.624548 −0.312274 0.949992i \(-0.601091\pi\)
−0.312274 + 0.949992i \(0.601091\pi\)
\(434\) 11.5857 3.26302i 0.556129 0.156630i
\(435\) −0.561720 0.285260i −0.0269324 0.0136772i
\(436\) 8.46781 + 1.06211i 0.405535 + 0.0508660i
\(437\) 13.2516 + 22.9525i 0.633911 + 1.09797i
\(438\) −0.546834 2.11408i −0.0261287 0.101015i
\(439\) −24.6844 14.2516i −1.17812 0.680190i −0.222544 0.974923i \(-0.571436\pi\)
−0.955580 + 0.294732i \(0.904770\pi\)
\(440\) 2.89190 + 4.24317i 0.137866 + 0.202285i
\(441\) 20.3068 5.35102i 0.966991 0.254810i
\(442\) −16.8880 + 3.41300i −0.803278 + 0.162340i
\(443\) 7.81403 + 4.51143i 0.371256 + 0.214345i 0.674007 0.738725i \(-0.264572\pi\)
−0.302751 + 0.953070i \(0.597905\pi\)
\(444\) 1.65307 0.803678i 0.0784510 0.0381409i
\(445\) −1.76764 + 1.02055i −0.0837943 + 0.0483787i
\(446\) −16.3076 5.48009i −0.772189 0.259490i
\(447\) −23.5782 11.9738i −1.11521 0.566341i
\(448\) −20.2256 6.23905i −0.955569 0.294767i
\(449\) 35.2242i 1.66233i −0.556023 0.831167i \(-0.687673\pi\)
0.556023 0.831167i \(-0.312327\pi\)
\(450\) 19.6520 6.22625i 0.926405 0.293508i
\(451\) 9.39228 + 16.2679i 0.442265 + 0.766025i
\(452\) 13.4021 17.6892i 0.630384 0.832030i
\(453\) 8.79026 + 13.4960i 0.413003 + 0.634100i
\(454\) 4.11709 + 20.3719i 0.193225 + 0.956101i
\(455\) 1.89877 3.94608i 0.0890158 0.184995i
\(456\) −17.8381 + 2.30195i −0.835347 + 0.107799i
\(457\) 1.94999 3.37748i 0.0912165 0.157992i −0.816807 0.576911i \(-0.804258\pi\)
0.908023 + 0.418920i \(0.137591\pi\)
\(458\) 17.2287 15.2027i 0.805044 0.710376i
\(459\) −9.08488 11.1268i −0.424046 0.519355i
\(460\) −0.674846 + 5.38028i −0.0314648 + 0.250857i
\(461\) −1.86342 −0.0867882 −0.0433941 0.999058i \(-0.513817\pi\)
−0.0433941 + 0.999058i \(0.513817\pi\)
\(462\) −10.0990 29.6545i −0.469848 1.37965i
\(463\) 10.6477i 0.494841i −0.968908 0.247421i \(-0.920417\pi\)
0.968908 0.247421i \(-0.0795829\pi\)
\(464\) −1.04837 3.72932i −0.0486694 0.173129i
\(465\) 2.08960 0.112329i 0.0969027 0.00520915i
\(466\) −10.2230 + 9.02082i −0.473570 + 0.417881i
\(467\) −12.9511 7.47734i −0.599307 0.346010i 0.169462 0.985537i \(-0.445797\pi\)
−0.768769 + 0.639527i \(0.779130\pi\)
\(468\) 13.6167 22.6664i 0.629434 1.04776i
\(469\) 16.8584 11.5018i 0.778451 0.531105i
\(470\) −5.41777 + 1.09491i −0.249903 + 0.0505045i
\(471\) −5.38756 8.27174i −0.248246 0.381142i
\(472\) −2.34156 + 4.86023i −0.107779 + 0.223710i
\(473\) 3.12792 1.80590i 0.143822 0.0830355i
\(474\) 22.4587 + 22.8522i 1.03156 + 1.04964i
\(475\) 17.8391 0.818512
\(476\) 0.726088 14.6101i 0.0332802 0.669654i
\(477\) −4.97689 6.81150i −0.227876 0.311877i
\(478\) −8.53929 + 25.4112i −0.390578 + 1.16228i
\(479\) −4.80660 8.32527i −0.219619 0.380391i 0.735073 0.677988i \(-0.237148\pi\)
−0.954692 + 0.297597i \(0.903815\pi\)
\(480\) −3.19339 1.82858i −0.145757 0.0834627i
\(481\) −1.16919 + 2.02510i −0.0533107 + 0.0923368i
\(482\) 27.0062 5.45785i 1.23010 0.248598i
\(483\) 12.7229 30.5365i 0.578912 1.38946i
\(484\) −22.7913 + 9.60436i −1.03597 + 0.436562i
\(485\) −0.998320 + 1.72914i −0.0453314 + 0.0785163i
\(486\) 22.0113 + 1.22651i 0.998451 + 0.0556356i
\(487\) 21.0228 12.1375i 0.952635 0.550004i 0.0587366 0.998274i \(-0.481293\pi\)
0.893899 + 0.448269i \(0.147959\pi\)
\(488\) 27.4589 2.05315i 1.24301 0.0929418i
\(489\) −10.2245 5.19234i −0.462368 0.234806i
\(490\) 2.84955 + 2.38821i 0.128730 + 0.107888i
\(491\) 11.4648i 0.517399i −0.965958 0.258699i \(-0.916706\pi\)
0.965958 0.258699i \(-0.0832939\pi\)
\(492\) −11.1507 7.54170i −0.502713 0.340006i
\(493\) 2.31860 1.33865i 0.104425 0.0602896i
\(494\) 17.1571 15.1396i 0.771936 0.681161i
\(495\) −0.583874 5.41503i −0.0262432 0.243388i
\(496\) 9.20938 + 8.98657i 0.413513 + 0.403509i
\(497\) −1.10389 14.6672i −0.0495163 0.657913i
\(498\) 6.65729 24.0094i 0.298320 1.07589i
\(499\) −5.02244 + 8.69913i −0.224835 + 0.389426i −0.956270 0.292485i \(-0.905518\pi\)
0.731435 + 0.681912i \(0.238851\pi\)
\(500\) 5.90270 + 4.47215i 0.263977 + 0.200001i
\(501\) 0.687028 + 12.7804i 0.0306941 + 0.570985i
\(502\) 4.52285 + 1.51988i 0.201865 + 0.0678355i
\(503\) 27.7498 1.23730 0.618652 0.785665i \(-0.287679\pi\)
0.618652 + 0.785665i \(0.287679\pi\)
\(504\) 15.8007 + 15.9479i 0.703821 + 0.710377i
\(505\) −5.73415 −0.255166
\(506\) −46.7783 15.7196i −2.07955 0.698820i
\(507\) 0.597058 + 11.1067i 0.0265163 + 0.493267i
\(508\) −6.17359 + 8.14839i −0.273909 + 0.361526i
\(509\) −0.887907 + 1.53790i −0.0393558 + 0.0681662i −0.885032 0.465530i \(-0.845864\pi\)
0.845677 + 0.533696i \(0.179197\pi\)
\(510\) 0.679540 2.45075i 0.0300905 0.108521i
\(511\) −1.94835 + 1.32928i −0.0861901 + 0.0588040i
\(512\) −5.02402 22.0626i −0.222032 0.975039i
\(513\) 17.8374 + 6.76470i 0.787542 + 0.298669i
\(514\) 11.0044 9.71032i 0.485382 0.428304i
\(515\) 4.48666 2.59037i 0.197706 0.114145i
\(516\) −1.45008 + 2.14401i −0.0638364 + 0.0943846i
\(517\) 50.3032i 2.21233i
\(518\) −1.42161 1.38587i −0.0624621 0.0608915i
\(519\) 9.93445 + 5.04504i 0.436074 + 0.221452i
\(520\) 4.66847 0.349069i 0.204726 0.0153077i
\(521\) 25.8700 14.9361i 1.13339 0.654361i 0.188602 0.982054i \(-0.439605\pi\)
0.944784 + 0.327693i \(0.106271\pi\)
\(522\) −0.883754 + 4.01269i −0.0386808 + 0.175631i
\(523\) −21.7587 + 37.6872i −0.951442 + 1.64795i −0.209133 + 0.977887i \(0.567064\pi\)
−0.742309 + 0.670058i \(0.766269\pi\)
\(524\) 8.26139 + 19.6044i 0.360901 + 0.856424i
\(525\) −13.5183 17.6933i −0.589987 0.772197i
\(526\) −26.2780 + 5.31070i −1.14578 + 0.231557i
\(527\) −4.44645 + 7.70147i −0.193690 + 0.335481i
\(528\) 22.0689 25.1901i 0.960425 1.09626i
\(529\) −14.5560 25.2117i −0.632868 1.09616i
\(530\) 0.475761 1.41577i 0.0206658 0.0614972i
\(531\) 4.62024 3.37583i 0.200501 0.146498i
\(532\) 8.86650 + 17.2858i 0.384412 + 0.749435i
\(533\) 17.1258 0.741801
\(534\) 9.33091 + 9.49439i 0.403788 + 0.410863i
\(535\) 5.81147 3.35525i 0.251252 0.145060i
\(536\) 19.6552 + 9.46950i 0.848976 + 0.409020i
\(537\) 14.2049 + 21.8094i 0.612987 + 0.941143i
\(538\) −32.4877 + 6.56565i −1.40065 + 0.283065i
\(539\) −26.4413 + 21.1140i −1.13891 + 0.909445i
\(540\) 2.07305 + 3.30704i 0.0892099 + 0.142312i
\(541\) 34.4429 + 19.8856i 1.48082 + 0.854950i 0.999764 0.0217423i \(-0.00692133\pi\)
0.481052 + 0.876692i \(0.340255\pi\)
\(542\) −27.7457 + 24.4830i −1.19178 + 1.05163i
\(543\) 5.07864 0.273010i 0.217945 0.0117160i
\(544\) 13.9179 7.13042i 0.596727 0.305714i
\(545\) 1.60261i 0.0686482i
\(546\) −28.0174 5.54426i −1.19903 0.237272i
\(547\) −0.868848 −0.0371493 −0.0185746 0.999827i \(-0.505913\pi\)
−0.0185746 + 0.999827i \(0.505913\pi\)
\(548\) −0.731384 0.0917371i −0.0312432 0.00391881i
\(549\) −26.7128 11.8073i −1.14007 0.503923i
\(550\) −24.9061 + 21.9773i −1.06200 + 0.937117i
\(551\) −1.77781 + 3.07926i −0.0757372 + 0.131181i
\(552\) 35.0742 4.52621i 1.49286 0.192648i
\(553\) 15.0059 31.1857i 0.638115 1.32615i
\(554\) 1.80286 + 8.92078i 0.0765961 + 0.379008i
\(555\) −0.188381 0.289229i −0.00799632 0.0122771i
\(556\) −13.8808 10.5167i −0.588677 0.446008i
\(557\) −10.8279 18.7545i −0.458793 0.794653i 0.540104 0.841598i \(-0.318385\pi\)
−0.998897 + 0.0469450i \(0.985051\pi\)
\(558\) −4.12208 13.0106i −0.174502 0.550783i
\(559\) 3.29287i 0.139274i
\(560\) −0.689815 + 3.91439i −0.0291500 + 0.165413i
\(561\) 20.6368 + 10.4801i 0.871288 + 0.442468i
\(562\) 12.7397 + 4.28110i 0.537392 + 0.180587i
\(563\) 2.69778 1.55756i 0.113698 0.0656435i −0.442073 0.896979i \(-0.645757\pi\)
0.555770 + 0.831336i \(0.312423\pi\)
\(564\) 15.7620 + 32.4205i 0.663699 + 1.36515i
\(565\) −3.60920 2.08377i −0.151840 0.0876650i
\(566\) 35.8755 7.25032i 1.50796 0.304753i
\(567\) −6.80766 22.8179i −0.285895 0.958261i
\(568\) 12.9934 8.85560i 0.545193 0.371573i
\(569\) −12.2778 7.08859i −0.514712 0.297169i 0.220056 0.975487i \(-0.429376\pi\)
−0.734768 + 0.678318i \(0.762709\pi\)
\(570\) 0.845810 + 3.26993i 0.0354271 + 0.136962i
\(571\) 8.29244 + 14.3629i 0.347028 + 0.601070i 0.985720 0.168392i \(-0.0538576\pi\)
−0.638692 + 0.769462i \(0.720524\pi\)
\(572\) −5.30246 + 42.2745i −0.221707 + 1.76758i
\(573\) 20.8039 + 10.5649i 0.869096 + 0.441355i
\(574\) −3.58417 + 14.0916i −0.149600 + 0.588170i
\(575\) −35.0760 −1.46277
\(576\) −6.33037 + 23.1501i −0.263765 + 0.964587i
\(577\) 2.31456 + 4.00893i 0.0963563 + 0.166894i 0.910174 0.414226i \(-0.135948\pi\)
−0.813818 + 0.581120i \(0.802615\pi\)
\(578\) −8.75610 9.92298i −0.364206 0.412742i
\(579\) 11.6678 7.59948i 0.484897 0.315824i
\(580\) −0.670372 + 0.282498i −0.0278357 + 0.0117301i
\(581\) −26.8356 + 2.01972i −1.11333 + 0.0837922i
\(582\) 12.5486 + 3.47946i 0.520156 + 0.144228i
\(583\) 11.7717 + 6.79639i 0.487534 + 0.281478i
\(584\) −2.27158 1.09440i −0.0939987 0.0452868i
\(585\) −4.54161 2.00743i −0.187772 0.0829972i
\(586\) 6.70206 19.9440i 0.276859 0.823878i
\(587\) 8.36823i 0.345394i 0.984975 + 0.172697i \(0.0552481\pi\)
−0.984975 + 0.172697i \(0.944752\pi\)
\(588\) 10.4256 21.8931i 0.429943 0.902856i
\(589\) 11.8103i 0.486637i
\(590\) 0.960318 + 0.322709i 0.0395357 + 0.0132857i
\(591\) 1.64006 + 30.5091i 0.0674632 + 1.25498i
\(592\) 0.524183 2.05668i 0.0215438 0.0845290i
\(593\) 40.0030 + 23.0957i 1.64273 + 0.948428i 0.979859 + 0.199690i \(0.0639937\pi\)
0.662867 + 0.748738i \(0.269340\pi\)
\(594\) −33.2378 + 12.5307i −1.36376 + 0.514142i
\(595\) −2.73924 + 0.206162i −0.112298 + 0.00845183i
\(596\) −28.1389 + 11.8579i −1.15262 + 0.485717i
\(597\) 19.1413 + 29.3884i 0.783402 + 1.20279i
\(598\) −33.7352 + 29.7682i −1.37954 + 1.21731i
\(599\) −6.73034 11.6573i −0.274994 0.476304i 0.695139 0.718875i \(-0.255343\pi\)
−0.970134 + 0.242571i \(0.922009\pi\)
\(600\) 9.16566 21.9685i 0.374187 0.896860i
\(601\) 26.7076 1.08943 0.544714 0.838622i \(-0.316638\pi\)
0.544714 + 0.838622i \(0.316638\pi\)
\(602\) 2.70946 + 0.689147i 0.110429 + 0.0280875i
\(603\) −13.6522 18.6847i −0.555959 0.760899i
\(604\) 18.4533 + 2.31459i 0.750855 + 0.0941793i
\(605\) 2.32221 + 4.02219i 0.0944112 + 0.163525i
\(606\) 9.36526 + 36.2064i 0.380438 + 1.47078i
\(607\) −15.4624 8.92721i −0.627599 0.362344i 0.152223 0.988346i \(-0.451357\pi\)
−0.779821 + 0.626002i \(0.784690\pi\)
\(608\) −11.2727 + 17.4429i −0.457169 + 0.707405i
\(609\) 4.40130 0.570159i 0.178350 0.0231040i
\(610\) −1.02430 5.06837i −0.0414727 0.205212i
\(611\) −39.7170 22.9306i −1.60678 0.927674i
\(612\) −16.5843 0.288068i −0.670380 0.0116445i
\(613\) −10.6663 + 6.15819i −0.430808 + 0.248727i −0.699691 0.714446i \(-0.746679\pi\)
0.268883 + 0.963173i \(0.413345\pi\)
\(614\) 6.51627 19.3911i 0.262975 0.782562i
\(615\) −1.14462 + 2.25394i −0.0461557 + 0.0908875i
\(616\) −33.6748 13.2104i −1.35680 0.532262i
\(617\) 19.5109i 0.785478i 0.919650 + 0.392739i \(0.128472\pi\)
−0.919650 + 0.392739i \(0.871528\pi\)
\(618\) −23.6838 24.0988i −0.952704 0.969396i
\(619\) −6.50490 11.2668i −0.261454 0.452851i 0.705175 0.709034i \(-0.250869\pi\)
−0.966628 + 0.256182i \(0.917535\pi\)
\(620\) 1.45921 1.92598i 0.0586034 0.0773493i
\(621\) −35.0728 13.3011i −1.40742 0.533754i
\(622\) 40.5627 8.19758i 1.62642 0.328693i
\(623\) 6.23448 12.9567i 0.249779 0.519098i
\(624\) −9.82882 28.9074i −0.393468 1.15722i
\(625\) −11.4520 + 19.8355i −0.458081 + 0.793420i
\(626\) −27.2253 30.8534i −1.08814 1.23315i
\(627\) −30.6943 + 1.65002i −1.22581 + 0.0658954i
\(628\) −11.3101 1.41861i −0.451321 0.0566089i
\(629\) 1.46684 0.0584869
\(630\) 2.60226 3.31683i 0.103676 0.132146i
\(631\) 14.6772i 0.584292i 0.956374 + 0.292146i \(0.0943693\pi\)
−0.956374 + 0.292146i \(0.905631\pi\)
\(632\) 36.8947 2.75867i 1.46759 0.109734i
\(633\) −0.376574 7.00519i −0.0149675 0.278431i
\(634\) 25.9887 + 29.4521i 1.03214 + 1.16969i
\(635\) 1.66255 + 0.959873i 0.0659763 + 0.0380914i
\(636\) −9.71645 0.691742i −0.385282 0.0274294i
\(637\) 4.61741 + 30.5015i 0.182948 + 1.20852i
\(638\) −1.31147 6.48935i −0.0519218 0.256916i
\(639\) −16.5820 + 1.78794i −0.655972 + 0.0707299i
\(640\) −3.99345 + 1.45174i −0.157855 + 0.0573849i
\(641\) −17.2820 + 9.97777i −0.682598 + 0.394098i −0.800833 0.598887i \(-0.795610\pi\)
0.118235 + 0.992986i \(0.462276\pi\)
\(642\) −30.6772 31.2147i −1.21073 1.23194i
\(643\) −8.29440 −0.327099 −0.163550 0.986535i \(-0.552294\pi\)
−0.163550 + 0.986535i \(0.552294\pi\)
\(644\) −17.4338 33.9882i −0.686986 1.33932i
\(645\) 0.433377 + 0.220083i 0.0170642 + 0.00866575i
\(646\) −13.6058 4.57214i −0.535311 0.179888i
\(647\) 4.46446 + 7.73268i 0.175516 + 0.304003i 0.940340 0.340237i \(-0.110507\pi\)
−0.764824 + 0.644240i \(0.777174\pi\)
\(648\) 17.4954 18.4908i 0.687286 0.726387i
\(649\) −4.61000 + 7.98475i −0.180958 + 0.313429i
\(650\) 5.99883 + 29.6830i 0.235294 + 1.16426i
\(651\) −11.7138 + 8.94979i −0.459100 + 0.350770i
\(652\) −12.2022 + 5.14206i −0.477875 + 0.201379i
\(653\) −1.45211 + 2.51513i −0.0568255 + 0.0984246i −0.893039 0.449980i \(-0.851431\pi\)
0.836213 + 0.548404i \(0.184765\pi\)
\(654\) −10.1191 + 2.61745i −0.395689 + 0.102350i
\(655\) 3.45977 1.99750i 0.135184 0.0780486i
\(656\) −14.9641 + 4.20665i −0.584251 + 0.164242i
\(657\) 1.57780 + 2.15942i 0.0615558 + 0.0842469i
\(658\) 27.1801 27.8811i 1.05959 1.08692i
\(659\) 17.3517i 0.675925i 0.941160 + 0.337962i \(0.109738\pi\)
−0.941160 + 0.337962i \(0.890262\pi\)
\(660\) −5.20937 3.52332i −0.202774 0.137145i
\(661\) −14.3912 + 8.30877i −0.559753 + 0.323174i −0.753046 0.657967i \(-0.771416\pi\)
0.193293 + 0.981141i \(0.438083\pi\)
\(662\) −0.707701 0.802012i −0.0275056 0.0311711i
\(663\) 17.6818 11.5165i 0.686705 0.447266i
\(664\) −16.2025 23.7733i −0.628781 0.922583i
\(665\) 3.01360 2.05606i 0.116862 0.0797305i
\(666\) −1.51857 + 1.66185i −0.0588433 + 0.0643953i
\(667\) 3.49562 6.05459i 0.135351 0.234434i
\(668\) 11.7797 + 8.92482i 0.455769 + 0.345312i
\(669\) 21.0399 1.13103i 0.813449 0.0437281i
\(670\) 1.30507 3.88362i 0.0504191 0.150037i
\(671\) 47.0591 1.81669
\(672\) 25.8428 2.03754i 0.996906 0.0785997i
\(673\) 24.8947 0.959622 0.479811 0.877372i \(-0.340705\pi\)
0.479811 + 0.877372i \(0.340705\pi\)
\(674\) −13.0916 + 38.9580i −0.504270 + 1.50061i
\(675\) −19.5570 + 15.9680i −0.752748 + 0.614609i
\(676\) 10.2371 + 7.75608i 0.393734 + 0.298311i
\(677\) −4.56843 + 7.91276i −0.175579 + 0.304112i −0.940362 0.340177i \(-0.889513\pi\)
0.764782 + 0.644289i \(0.222846\pi\)
\(678\) −7.26260 + 26.1924i −0.278918 + 1.00591i
\(679\) −1.05562 14.0258i −0.0405108 0.538259i
\(680\) −1.65387 2.42665i −0.0634229 0.0930578i
\(681\) −13.8924 21.3295i −0.532357 0.817350i
\(682\) 14.5501 + 16.4891i 0.557151 + 0.631400i
\(683\) −13.5982 + 7.85092i −0.520320 + 0.300407i −0.737066 0.675821i \(-0.763789\pi\)
0.216745 + 0.976228i \(0.430456\pi\)
\(684\) 19.2655 10.6812i 0.736635 0.408405i
\(685\) 0.138421i 0.00528879i
\(686\) −26.0638 2.58418i −0.995121 0.0986643i
\(687\) −12.7421 + 25.0911i −0.486141 + 0.957286i
\(688\) 0.808836 + 2.87723i 0.0308366 + 0.109693i
\(689\) 10.7322 6.19625i 0.408865 0.236058i
\(690\) −1.66307 6.42950i −0.0633122 0.244767i
\(691\) −0.617408 + 1.06938i −0.0234873 + 0.0406812i −0.877530 0.479521i \(-0.840810\pi\)
0.854043 + 0.520203i \(0.174144\pi\)
\(692\) 11.8560 4.99618i 0.450699 0.189926i
\(693\) 24.8965 + 29.1931i 0.945738 + 1.10895i
\(694\) 1.68384 + 8.33186i 0.0639177 + 0.316273i
\(695\) −1.63515 + 2.83216i −0.0620246 + 0.107430i
\(696\) 2.87862 + 3.77146i 0.109114 + 0.142957i
\(697\) −5.37140 9.30355i −0.203456 0.352397i
\(698\) −38.1075 12.8058i −1.44239 0.484706i
\(699\) 7.56077 14.8883i 0.285974 0.563127i
\(700\) −25.6794 1.27620i −0.970591 0.0482360i
\(701\) 28.0365 1.05892 0.529462 0.848333i \(-0.322394\pi\)
0.529462 + 0.848333i \(0.322394\pi\)
\(702\) −5.25774 + 31.9551i −0.198440 + 1.20607i
\(703\) −1.68707 + 0.974031i −0.0636291 + 0.0367363i
\(704\) −5.75082 38.2409i −0.216742 1.44126i
\(705\) 5.67244 3.69458i 0.213637 0.139146i
\(706\) −7.03174 34.7940i −0.264643 1.30949i
\(707\) 33.3682 22.7657i 1.25494 0.856194i
\(708\) 0.469209 6.59067i 0.0176340 0.247693i
\(709\) −17.7860 10.2687i −0.667966 0.385650i 0.127340 0.991859i \(-0.459356\pi\)
−0.795305 + 0.606209i \(0.792690\pi\)
\(710\) −1.95371 2.21407i −0.0733214 0.0830926i
\(711\) −35.8921 15.8646i −1.34606 0.594971i
\(712\) 15.3286 1.14614i 0.574463 0.0429535i
\(713\) 23.2221i 0.869673i
\(714\) 5.77558 + 16.9593i 0.216146 + 0.634685i
\(715\) 8.00081 0.299213
\(716\) 29.8202 + 3.74033i 1.11443 + 0.139783i
\(717\) −1.76241 32.7852i −0.0658186 1.22438i
\(718\) −20.0803 22.7563i −0.749390 0.849258i
\(719\) 1.30734 2.26437i 0.0487554 0.0844469i −0.840618 0.541629i \(-0.817808\pi\)
0.889373 + 0.457182i \(0.151141\pi\)
\(720\) 4.46144 + 0.638482i 0.166268 + 0.0237948i
\(721\) −15.8244 + 32.8868i −0.589333 + 1.22477i
\(722\) −7.65304 + 1.54665i −0.284817 + 0.0575604i
\(723\) −28.2757 + 18.4165i −1.05158 + 0.684919i
\(724\) 3.54653 4.68098i 0.131806 0.173967i
\(725\) −2.35287 4.07528i −0.0873832 0.151352i
\(726\) 21.6040 21.2320i 0.801801 0.787994i
\(727\) 29.9784i 1.11184i 0.831237 + 0.555918i \(0.187633\pi\)
−0.831237 + 0.555918i \(0.812367\pi\)
\(728\) −25.7809 + 20.5661i −0.955503 + 0.762229i
\(729\) −25.6104 + 8.55040i −0.948532 + 0.316681i
\(730\) −0.150828 + 0.448835i −0.00558241 + 0.0166121i
\(731\) −1.78884 + 1.03279i −0.0661627 + 0.0381991i
\(732\) −30.3296 + 14.7455i −1.12101 + 0.545008i
\(733\) 31.4773 + 18.1734i 1.16264 + 0.671250i 0.951935 0.306299i \(-0.0990909\pi\)
0.210705 + 0.977550i \(0.432424\pi\)
\(734\) 4.23748 + 20.9676i 0.156408 + 0.773929i
\(735\) −4.32294 1.43091i −0.159454 0.0527797i
\(736\) 22.1650 34.2972i 0.817012 1.26421i
\(737\) 32.2911 + 18.6433i 1.18946 + 0.686733i
\(738\) 16.1012 + 3.54612i 0.592693 + 0.130534i
\(739\) −15.0194 26.0143i −0.552497 0.956952i −0.998094 0.0617187i \(-0.980342\pi\)
0.445597 0.895234i \(-0.352991\pi\)
\(740\) −0.395466 0.0496031i −0.0145376 0.00182345i
\(741\) −12.6892 + 24.9869i −0.466148 + 0.917917i
\(742\) 2.85235 + 10.1275i 0.104713 + 0.371793i
\(743\) −22.3057 −0.818315 −0.409158 0.912464i \(-0.634177\pi\)
−0.409158 + 0.912464i \(0.634177\pi\)
\(744\) −14.5442 6.06812i −0.533217 0.222468i
\(745\) 2.86708 + 4.96592i 0.105042 + 0.181937i
\(746\) 19.2673 17.0016i 0.705425 0.622471i
\(747\) 3.27128 + 30.3390i 0.119690 + 1.11004i
\(748\) 24.6286 10.3786i 0.900509 0.379478i
\(749\) −20.4971 + 42.5976i −0.748946 + 1.55648i
\(750\) −8.74013 2.42345i −0.319144 0.0884920i
\(751\) −3.14957 1.81840i −0.114929 0.0663545i 0.441433 0.897294i \(-0.354470\pi\)
−0.556363 + 0.830940i \(0.687803\pi\)
\(752\) 40.3363 + 10.2804i 1.47091 + 0.374889i
\(753\) −5.83532 + 0.313686i −0.212651 + 0.0114314i
\(754\) −5.72151 1.92268i −0.208365 0.0700199i
\(755\) 3.49245i 0.127103i
\(756\) −25.1931 11.0139i −0.916265 0.400572i
\(757\) 4.37925i 0.159166i 0.996828 + 0.0795832i \(0.0253589\pi\)
−0.996828 + 0.0795832i \(0.974641\pi\)
\(758\) −11.5996 + 34.5182i −0.421318 + 1.25376i
\(759\) 60.3527 3.24435i 2.19066 0.117762i
\(760\) 3.51355 + 1.69276i 0.127450 + 0.0614029i
\(761\) −8.55783 4.94087i −0.310221 0.179106i 0.336804 0.941575i \(-0.390654\pi\)
−0.647025 + 0.762468i \(0.723987\pi\)
\(762\) 3.34546 12.0653i 0.121193 0.437081i
\(763\) 6.36267 + 9.32589i 0.230344 + 0.337620i
\(764\) 24.8280 10.4626i 0.898244 0.378524i
\(765\) 0.333915 + 3.09684i 0.0120727 + 0.111966i
\(766\) −12.4785 14.1415i −0.450867 0.510951i
\(767\) 4.20292 + 7.27967i 0.151759 + 0.262854i
\(768\) 15.6888 + 22.8443i 0.566120 + 0.824323i
\(769\) −8.64146 −0.311619 −0.155810 0.987787i \(-0.549799\pi\)
−0.155810 + 0.987787i \(0.549799\pi\)
\(770\) −1.67445 + 6.58327i −0.0603428 + 0.237245i
\(771\) −8.13867 + 16.0263i −0.293107 + 0.577173i
\(772\) 2.00104 15.9535i 0.0720191 0.574180i
\(773\) −4.09325 7.08972i