Properties

Label 400.2.be.a.61.19
Level $400$
Weight $2$
Character 400.61
Analytic conductor $3.194$
Analytic rank $0$
Dimension $464$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 400 = 2^{4} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 400.be (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.19401608085\)
Analytic rank: \(0\)
Dimension: \(464\)
Relative dimension: \(58\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 61.19
Character \(\chi\) \(=\) 400.61
Dual form 400.2.be.a.341.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.690042 + 1.23444i) q^{2} +(-1.28029 + 0.652342i) q^{3} +(-1.04769 - 1.70363i) q^{4} +(-0.925395 - 2.03559i) q^{5} +(0.0781784 - 2.03059i) q^{6} -1.67999i q^{7} +(2.82598 - 0.117729i) q^{8} +(-0.549753 + 0.756670i) q^{9} +O(q^{10})\) \(q+(-0.690042 + 1.23444i) q^{2} +(-1.28029 + 0.652342i) q^{3} +(-1.04769 - 1.70363i) q^{4} +(-0.925395 - 2.03559i) q^{5} +(0.0781784 - 2.03059i) q^{6} -1.67999i q^{7} +(2.82598 - 0.117729i) q^{8} +(-0.549753 + 0.756670i) q^{9} +(3.15138 + 0.262300i) q^{10} +(-0.0595987 + 0.376292i) q^{11} +(2.45270 + 1.49770i) q^{12} +(0.931359 + 5.88037i) q^{13} +(2.07385 + 1.15926i) q^{14} +(2.51268 + 2.00249i) q^{15} +(-1.80471 + 3.56974i) q^{16} +(1.49793 + 4.61015i) q^{17} +(-0.554712 - 1.20077i) q^{18} +(3.04341 - 5.97303i) q^{19} +(-2.49838 + 3.70919i) q^{20} +(1.09593 + 2.15088i) q^{21} +(-0.423384 - 0.333228i) q^{22} +(4.03408 + 5.55244i) q^{23} +(-3.54128 + 1.99423i) q^{24} +(-3.28729 + 3.76746i) q^{25} +(-7.90164 - 2.90799i) q^{26} +(0.884583 - 5.58504i) q^{27} +(-2.86208 + 1.76010i) q^{28} +(-1.89345 + 0.964763i) q^{29} +(-4.20580 + 1.71996i) q^{30} +(1.74337 + 5.36555i) q^{31} +(-3.16130 - 4.69107i) q^{32} +(-0.169167 - 0.520643i) q^{33} +(-6.72459 - 1.33209i) q^{34} +(-3.41978 + 1.55466i) q^{35} +(1.86505 + 0.143824i) q^{36} +(1.47258 - 0.233235i) q^{37} +(5.27327 + 7.87854i) q^{38} +(-5.02843 - 6.92104i) q^{39} +(-2.85479 - 5.64359i) q^{40} +(0.668698 - 0.920384i) q^{41} +(-3.41137 - 0.131339i) q^{42} +(4.99167 - 4.99167i) q^{43} +(0.703502 - 0.292701i) q^{44} +(2.04901 + 0.418856i) q^{45} +(-9.63784 + 1.14842i) q^{46} +(-1.93439 + 5.95344i) q^{47} +(-0.0181296 - 5.74760i) q^{48} +4.17763 q^{49} +(-2.38234 - 6.65766i) q^{50} +(-4.92518 - 4.92518i) q^{51} +(9.04221 - 7.74747i) q^{52} +(6.36804 + 12.4980i) q^{53} +(6.28400 + 4.94587i) q^{54} +(0.821130 - 0.226900i) q^{55} +(-0.197784 - 4.74761i) q^{56} +9.63258i q^{57} +(0.115620 - 3.00308i) q^{58} +(-11.7275 + 1.85746i) q^{59} +(0.778994 - 6.37866i) q^{60} +(-8.53060 - 1.35111i) q^{61} +(-7.82645 - 1.55036i) q^{62} +(1.27120 + 0.923580i) q^{63} +(7.97228 - 0.665400i) q^{64} +(11.1082 - 7.33754i) q^{65} +(0.759435 + 0.150439i) q^{66} +(0.899877 - 1.76611i) q^{67} +(6.28463 - 7.38190i) q^{68} +(-8.78690 - 4.47715i) q^{69} +(0.440662 - 5.29429i) q^{70} +(8.22934 + 2.67387i) q^{71} +(-1.46451 + 2.20305i) q^{72} +(6.36337 + 8.75843i) q^{73} +(-0.728231 + 1.97876i) q^{74} +(1.75102 - 6.96789i) q^{75} +(-13.3644 + 1.07301i) q^{76} +(0.632167 + 0.100125i) q^{77} +(12.0134 - 1.43149i) q^{78} +(2.52196 - 7.76181i) q^{79} +(8.93661 + 0.370244i) q^{80} +(1.64376 + 5.05899i) q^{81} +(0.674730 + 1.46057i) q^{82} +(-3.40939 + 6.69130i) q^{83} +(2.51612 - 4.12051i) q^{84} +(7.99822 - 7.31538i) q^{85} +(2.71746 + 9.60637i) q^{86} +(1.79482 - 2.47036i) q^{87} +(-0.124124 + 1.07041i) q^{88} +(5.91437 + 8.14043i) q^{89} +(-1.93096 + 2.24036i) q^{90} +(9.87897 - 1.56468i) q^{91} +(5.23285 - 12.6898i) q^{92} +(-5.73220 - 5.73220i) q^{93} +(-6.01436 - 6.49601i) q^{94} +(-14.9750 - 0.667738i) q^{95} +(7.10758 + 3.94370i) q^{96} +(3.60983 - 11.1099i) q^{97} +(-2.88274 + 5.15704i) q^{98} +(-0.251964 - 0.251964i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 464 q - 6 q^{2} - 6 q^{3} - 6 q^{4} - 8 q^{5} - 6 q^{6} + 12 q^{8} + O(q^{10}) \) \( 464 q - 6 q^{2} - 6 q^{3} - 6 q^{4} - 8 q^{5} - 6 q^{6} + 12 q^{8} - 14 q^{10} - 6 q^{11} + 10 q^{12} - 6 q^{13} + 6 q^{14} - 16 q^{15} - 6 q^{16} - 12 q^{17} - 24 q^{18} - 6 q^{19} - 22 q^{20} + 12 q^{21} + 10 q^{22} - 16 q^{24} + 4 q^{26} - 18 q^{27} + 18 q^{28} - 6 q^{29} - 6 q^{30} + 12 q^{31} - 36 q^{32} - 12 q^{33} - 30 q^{34} + 44 q^{35} - 82 q^{36} - 6 q^{37} - 76 q^{38} - 52 q^{40} - 10 q^{42} - 48 q^{43} + 36 q^{44} - 12 q^{45} - 14 q^{46} - 12 q^{47} - 116 q^{48} - 400 q^{49} + 10 q^{50} - 4 q^{51} + 32 q^{52} - 6 q^{53} - 30 q^{54} + 36 q^{56} + 26 q^{58} - 6 q^{59} + 48 q^{60} - 6 q^{61} - 34 q^{62} + 72 q^{63} - 24 q^{64} + 16 q^{65} + 92 q^{66} + 30 q^{67} + 28 q^{68} - 18 q^{69} + 60 q^{70} + 22 q^{72} + 28 q^{74} - 26 q^{75} - 76 q^{76} + 36 q^{77} + 14 q^{78} - 52 q^{79} - 34 q^{80} + 72 q^{81} + 56 q^{82} - 46 q^{83} + 112 q^{84} + 2 q^{85} - 46 q^{86} - 136 q^{88} - 42 q^{90} + 36 q^{91} - 4 q^{93} + 50 q^{94} - 40 q^{95} - 66 q^{96} - 12 q^{97} - 8 q^{98} - 40 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(177\) \(351\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{4}{5}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.690042 + 1.23444i −0.487933 + 0.872881i
\(3\) −1.28029 + 0.652342i −0.739178 + 0.376630i −0.782681 0.622423i \(-0.786148\pi\)
0.0435027 + 0.999053i \(0.486148\pi\)
\(4\) −1.04769 1.70363i −0.523843 0.851815i
\(5\) −0.925395 2.03559i −0.413849 0.910345i
\(6\) 0.0781784 2.03059i 0.0319162 0.828985i
\(7\) 1.67999i 0.634977i −0.948262 0.317488i \(-0.897161\pi\)
0.948262 0.317488i \(-0.102839\pi\)
\(8\) 2.82598 0.117729i 0.999133 0.0416236i
\(9\) −0.549753 + 0.756670i −0.183251 + 0.252223i
\(10\) 3.15138 + 0.262300i 0.996554 + 0.0829465i
\(11\) −0.0595987 + 0.376292i −0.0179697 + 0.113456i −0.995043 0.0994481i \(-0.968292\pi\)
0.977073 + 0.212904i \(0.0682923\pi\)
\(12\) 2.45270 + 1.49770i 0.708032 + 0.432348i
\(13\) 0.931359 + 5.88037i 0.258313 + 1.63092i 0.686428 + 0.727198i \(0.259178\pi\)
−0.428116 + 0.903724i \(0.640822\pi\)
\(14\) 2.07385 + 1.15926i 0.554259 + 0.309826i
\(15\) 2.51268 + 2.00249i 0.648772 + 0.517039i
\(16\) −1.80471 + 3.56974i −0.451178 + 0.892434i
\(17\) 1.49793 + 4.61015i 0.363301 + 1.11813i 0.951038 + 0.309073i \(0.100019\pi\)
−0.587737 + 0.809052i \(0.699981\pi\)
\(18\) −0.554712 1.20077i −0.130747 0.283025i
\(19\) 3.04341 5.97303i 0.698206 1.37031i −0.220509 0.975385i \(-0.570772\pi\)
0.918715 0.394921i \(-0.129228\pi\)
\(20\) −2.49838 + 3.70919i −0.558654 + 0.829401i
\(21\) 1.09593 + 2.15088i 0.239151 + 0.469361i
\(22\) −0.423384 0.333228i −0.0902658 0.0710444i
\(23\) 4.03408 + 5.55244i 0.841164 + 1.15776i 0.985741 + 0.168270i \(0.0538179\pi\)
−0.144577 + 0.989494i \(0.546182\pi\)
\(24\) −3.54128 + 1.99423i −0.722861 + 0.407071i
\(25\) −3.28729 + 3.76746i −0.657458 + 0.753491i
\(26\) −7.90164 2.90799i −1.54964 0.570304i
\(27\) 0.884583 5.58504i 0.170238 1.07484i
\(28\) −2.86208 + 1.76010i −0.540883 + 0.332628i
\(29\) −1.89345 + 0.964763i −0.351606 + 0.179152i −0.620869 0.783915i \(-0.713220\pi\)
0.269263 + 0.963067i \(0.413220\pi\)
\(30\) −4.20580 + 1.71996i −0.767871 + 0.314020i
\(31\) 1.74337 + 5.36555i 0.313119 + 0.963681i 0.976522 + 0.215418i \(0.0691115\pi\)
−0.663403 + 0.748262i \(0.730888\pi\)
\(32\) −3.16130 4.69107i −0.558844 0.829273i
\(33\) −0.169167 0.520643i −0.0294482 0.0906323i
\(34\) −6.72459 1.33209i −1.15326 0.228452i
\(35\) −3.41978 + 1.55466i −0.578048 + 0.262785i
\(36\) 1.86505 + 0.143824i 0.310842 + 0.0239706i
\(37\) 1.47258 0.233235i 0.242091 0.0383435i −0.0342095 0.999415i \(-0.510891\pi\)
0.276301 + 0.961071i \(0.410891\pi\)
\(38\) 5.27327 + 7.87854i 0.855437 + 1.27807i
\(39\) −5.02843 6.92104i −0.805193 1.10825i
\(40\) −2.85479 5.64359i −0.451382 0.892331i
\(41\) 0.668698 0.920384i 0.104433 0.143740i −0.753602 0.657331i \(-0.771685\pi\)
0.858035 + 0.513591i \(0.171685\pi\)
\(42\) −3.41137 0.131339i −0.526386 0.0202661i
\(43\) 4.99167 4.99167i 0.761222 0.761222i −0.215321 0.976543i \(-0.569080\pi\)
0.976543 + 0.215321i \(0.0690799\pi\)
\(44\) 0.703502 0.292701i 0.106057 0.0441263i
\(45\) 2.04901 + 0.418856i 0.305449 + 0.0624393i
\(46\) −9.63784 + 1.14842i −1.42102 + 0.169325i
\(47\) −1.93439 + 5.95344i −0.282160 + 0.868399i 0.705076 + 0.709132i \(0.250913\pi\)
−0.987236 + 0.159267i \(0.949087\pi\)
\(48\) −0.0181296 5.74760i −0.00261678 0.829595i
\(49\) 4.17763 0.596804
\(50\) −2.38234 6.65766i −0.336913 0.941536i
\(51\) −4.92518 4.92518i −0.689664 0.689664i
\(52\) 9.04221 7.74747i 1.25393 1.07438i
\(53\) 6.36804 + 12.4980i 0.874717 + 1.71673i 0.676320 + 0.736608i \(0.263574\pi\)
0.198397 + 0.980122i \(0.436426\pi\)
\(54\) 6.28400 + 4.94587i 0.855144 + 0.673048i
\(55\) 0.821130 0.226900i 0.110721 0.0305951i
\(56\) −0.197784 4.74761i −0.0264300 0.634427i
\(57\) 9.63258i 1.27587i
\(58\) 0.115620 3.00308i 0.0151816 0.394324i
\(59\) −11.7275 + 1.85746i −1.52679 + 0.241820i −0.862657 0.505790i \(-0.831201\pi\)
−0.664137 + 0.747611i \(0.731201\pi\)
\(60\) 0.778994 6.37866i 0.100568 0.823481i
\(61\) −8.53060 1.35111i −1.09223 0.172993i −0.415770 0.909470i \(-0.636488\pi\)
−0.676462 + 0.736477i \(0.736488\pi\)
\(62\) −7.82645 1.55036i −0.993960 0.196896i
\(63\) 1.27120 + 0.923580i 0.160156 + 0.116360i
\(64\) 7.97228 0.665400i 0.996535 0.0831750i
\(65\) 11.1082 7.33754i 1.37780 0.910109i
\(66\) 0.759435 + 0.150439i 0.0934800 + 0.0185177i
\(67\) 0.899877 1.76611i 0.109938 0.215765i −0.829483 0.558533i \(-0.811365\pi\)
0.939420 + 0.342768i \(0.111365\pi\)
\(68\) 6.28463 7.38190i 0.762123 0.895187i
\(69\) −8.78690 4.47715i −1.05782 0.538986i
\(70\) 0.440662 5.29429i 0.0526691 0.632789i
\(71\) 8.22934 + 2.67387i 0.976643 + 0.317331i 0.753495 0.657454i \(-0.228367\pi\)
0.223148 + 0.974784i \(0.428367\pi\)
\(72\) −1.46451 + 2.20305i −0.172594 + 0.259632i
\(73\) 6.36337 + 8.75843i 0.744776 + 1.02510i 0.998330 + 0.0577753i \(0.0184007\pi\)
−0.253553 + 0.967321i \(0.581599\pi\)
\(74\) −0.728231 + 1.97876i −0.0846551 + 0.230026i
\(75\) 1.75102 6.96789i 0.202191 0.804583i
\(76\) −13.3644 + 1.07301i −1.53300 + 0.123083i
\(77\) 0.632167 + 0.100125i 0.0720421 + 0.0114103i
\(78\) 12.0134 1.43149i 1.36025 0.162084i
\(79\) 2.52196 7.76181i 0.283743 0.873272i −0.703029 0.711161i \(-0.748170\pi\)
0.986773 0.162111i \(-0.0518302\pi\)
\(80\) 8.93661 + 0.370244i 0.999143 + 0.0413945i
\(81\) 1.64376 + 5.05899i 0.182640 + 0.562110i
\(82\) 0.674730 + 1.46057i 0.0745114 + 0.161293i
\(83\) −3.40939 + 6.69130i −0.374229 + 0.734465i −0.998923 0.0464044i \(-0.985224\pi\)
0.624694 + 0.780870i \(0.285224\pi\)
\(84\) 2.51612 4.12051i 0.274531 0.449584i
\(85\) 7.99822 7.31538i 0.867528 0.793465i
\(86\) 2.71746 + 9.60637i 0.293031 + 1.03588i
\(87\) 1.79482 2.47036i 0.192425 0.264851i
\(88\) −0.124124 + 1.07041i −0.0132317 + 0.114106i
\(89\) 5.91437 + 8.14043i 0.626922 + 0.862884i 0.997834 0.0657841i \(-0.0209548\pi\)
−0.370912 + 0.928668i \(0.620955\pi\)
\(90\) −1.93096 + 2.24036i −0.203541 + 0.236154i
\(91\) 9.87897 1.56468i 1.03560 0.164023i
\(92\) 5.23285 12.6898i 0.545562 1.32300i
\(93\) −5.73220 5.73220i −0.594402 0.594402i
\(94\) −6.01436 6.49601i −0.620334 0.670013i
\(95\) −14.9750 0.667738i −1.53640 0.0685084i
\(96\) 7.10758 + 3.94370i 0.725415 + 0.402503i
\(97\) 3.60983 11.1099i 0.366522 1.12804i −0.582500 0.812831i \(-0.697925\pi\)
0.949022 0.315209i \(-0.102075\pi\)
\(98\) −2.88274 + 5.15704i −0.291201 + 0.520939i
\(99\) −0.251964 0.251964i −0.0253233 0.0253233i
\(100\) 9.86240 + 1.65321i 0.986240 + 0.165321i
\(101\) −0.707455 + 0.707455i −0.0703944 + 0.0703944i −0.741427 0.671033i \(-0.765851\pi\)
0.671033 + 0.741427i \(0.265851\pi\)
\(102\) 9.47843 2.68126i 0.938504 0.265485i
\(103\) −6.40948 2.08257i −0.631545 0.205201i −0.0242857 0.999705i \(-0.507731\pi\)
−0.607259 + 0.794504i \(0.707731\pi\)
\(104\) 3.32429 + 16.5081i 0.325974 + 1.61876i
\(105\) 3.36416 4.22128i 0.328308 0.411955i
\(106\) −19.8222 0.763162i −1.92530 0.0741249i
\(107\) −1.26842 + 1.26842i −0.122623 + 0.122623i −0.765755 0.643132i \(-0.777635\pi\)
0.643132 + 0.765755i \(0.277635\pi\)
\(108\) −10.4416 + 4.34436i −1.00474 + 0.418036i
\(109\) −0.754340 4.76272i −0.0722527 0.456185i −0.997116 0.0758869i \(-0.975821\pi\)
0.924864 0.380299i \(-0.124179\pi\)
\(110\) −0.286520 + 1.17021i −0.0273186 + 0.111575i
\(111\) −1.73319 + 1.25924i −0.164507 + 0.119522i
\(112\) 5.99712 + 3.03190i 0.566675 + 0.286487i
\(113\) −16.0723 11.6772i −1.51196 1.09850i −0.965300 0.261142i \(-0.915901\pi\)
−0.546655 0.837358i \(-0.684099\pi\)
\(114\) −11.8908 6.64688i −1.11368 0.622537i
\(115\) 7.56939 13.3500i 0.705849 1.24489i
\(116\) 3.62734 + 2.21498i 0.336790 + 0.205656i
\(117\) −4.96152 2.52802i −0.458693 0.233716i
\(118\) 5.79956 15.7587i 0.533893 1.45070i
\(119\) 7.74501 2.51651i 0.709984 0.230688i
\(120\) 7.33653 + 5.36316i 0.669731 + 0.489587i
\(121\) 10.3236 + 3.35433i 0.938507 + 0.304939i
\(122\) 7.55434 9.59819i 0.683938 0.868980i
\(123\) −0.255725 + 1.61458i −0.0230579 + 0.145582i
\(124\) 7.31440 8.59147i 0.656853 0.771536i
\(125\) 10.7111 + 3.20520i 0.958026 + 0.286682i
\(126\) −2.01729 + 0.931911i −0.179714 + 0.0830212i
\(127\) −6.55323 + 4.76120i −0.581505 + 0.422488i −0.839266 0.543721i \(-0.817015\pi\)
0.257761 + 0.966209i \(0.417015\pi\)
\(128\) −4.67981 + 10.3005i −0.413640 + 0.910440i
\(129\) −3.13452 + 9.64708i −0.275980 + 0.849378i
\(130\) 1.39265 + 18.7756i 0.122143 + 1.64673i
\(131\) −0.697532 + 1.36898i −0.0609437 + 0.119609i −0.919469 0.393162i \(-0.871381\pi\)
0.858525 + 0.512771i \(0.171381\pi\)
\(132\) −0.709749 + 0.833668i −0.0617757 + 0.0725615i
\(133\) −10.0346 5.11290i −0.870113 0.443345i
\(134\) 1.55920 + 2.32953i 0.134695 + 0.201241i
\(135\) −12.1875 + 3.36771i −1.04893 + 0.289847i
\(136\) 4.77586 + 12.8518i 0.409526 + 1.10203i
\(137\) −4.31596 + 5.94041i −0.368737 + 0.507524i −0.952557 0.304360i \(-0.901557\pi\)
0.583820 + 0.811883i \(0.301557\pi\)
\(138\) 11.5901 7.75749i 0.986615 0.660361i
\(139\) 2.28928 14.4540i 0.194174 1.22597i −0.677366 0.735646i \(-0.736879\pi\)
0.871541 0.490323i \(-0.163121\pi\)
\(140\) 6.23141 + 4.19725i 0.526650 + 0.354732i
\(141\) −1.40709 8.88405i −0.118499 0.748172i
\(142\) −8.97933 + 8.31354i −0.753528 + 0.697657i
\(143\) −2.26824 −0.189680
\(144\) −1.70897 3.32805i −0.142414 0.277337i
\(145\) 3.71606 + 2.96152i 0.308602 + 0.245941i
\(146\) −15.2027 + 1.81152i −1.25819 + 0.149923i
\(147\) −5.34860 + 2.72525i −0.441145 + 0.224774i
\(148\) −1.94015 2.26438i −0.159479 0.186131i
\(149\) 2.75851 2.75851i 0.225986 0.225986i −0.585028 0.811013i \(-0.698916\pi\)
0.811013 + 0.585028i \(0.198916\pi\)
\(150\) 7.39317 + 6.96967i 0.603650 + 0.569071i
\(151\) 12.5085i 1.01792i 0.860789 + 0.508962i \(0.169971\pi\)
−0.860789 + 0.508962i \(0.830029\pi\)
\(152\) 7.89740 17.2379i 0.640564 1.39818i
\(153\) −4.31185 1.40101i −0.348593 0.113265i
\(154\) −0.559820 + 0.711281i −0.0451116 + 0.0573167i
\(155\) 9.30877 8.51405i 0.747698 0.683865i
\(156\) −6.52268 + 15.8177i −0.522232 + 1.26643i
\(157\) −8.14071 8.14071i −0.649700 0.649700i 0.303221 0.952920i \(-0.401938\pi\)
−0.952920 + 0.303221i \(0.901938\pi\)
\(158\) 7.84123 + 8.46919i 0.623815 + 0.673772i
\(159\) −16.3059 11.8469i −1.29314 0.939524i
\(160\) −6.62367 + 10.7762i −0.523647 + 0.851935i
\(161\) 9.32804 6.77722i 0.735153 0.534120i
\(162\) −7.37928 1.46178i −0.579771 0.114848i
\(163\) 0.616221 + 3.89067i 0.0482661 + 0.304740i 0.999998 0.00219154i \(-0.000697590\pi\)
−0.951731 + 0.306932i \(0.900698\pi\)
\(164\) −2.26858 0.174941i −0.177146 0.0136606i
\(165\) −0.903271 + 0.826156i −0.0703196 + 0.0643161i
\(166\) −5.90739 8.82596i −0.458502 0.685027i
\(167\) 7.60821 2.47206i 0.588741 0.191294i 0.000528319 1.00000i \(-0.499832\pi\)
0.588213 + 0.808706i \(0.299832\pi\)
\(168\) 3.35029 + 5.94932i 0.258481 + 0.459000i
\(169\) −21.3476 + 6.93626i −1.64212 + 0.533558i
\(170\) 3.51130 + 14.9212i 0.269304 + 1.14441i
\(171\) 2.84649 + 5.58655i 0.217676 + 0.427214i
\(172\) −13.7336 3.27426i −1.04718 0.249660i
\(173\) −2.90408 0.459961i −0.220793 0.0349702i 0.0450576 0.998984i \(-0.485653\pi\)
−0.265851 + 0.964014i \(0.585653\pi\)
\(174\) 1.81101 + 3.92025i 0.137292 + 0.297194i
\(175\) 6.32929 + 5.52261i 0.478450 + 0.417470i
\(176\) −1.23570 0.891849i −0.0931447 0.0672257i
\(177\) 13.8030 10.0285i 1.03750 0.753785i
\(178\) −14.1300 + 1.68370i −1.05909 + 0.126199i
\(179\) 4.48712 2.28630i 0.335383 0.170886i −0.278186 0.960527i \(-0.589733\pi\)
0.613569 + 0.789641i \(0.289733\pi\)
\(180\) −1.43315 3.92959i −0.106820 0.292894i
\(181\) −4.96749 2.53106i −0.369230 0.188132i 0.259523 0.965737i \(-0.416435\pi\)
−0.628754 + 0.777605i \(0.716435\pi\)
\(182\) −4.88540 + 13.2747i −0.362130 + 0.983985i
\(183\) 11.8031 3.83505i 0.872508 0.283495i
\(184\) 12.0539 + 15.2161i 0.888625 + 1.12175i
\(185\) −1.83749 2.78175i −0.135095 0.204518i
\(186\) 11.0315 3.12060i 0.808870 0.228814i
\(187\) −1.82404 + 0.288899i −0.133387 + 0.0211264i
\(188\) 12.1691 2.94185i 0.887523 0.214556i
\(189\) −9.38282 1.48609i −0.682499 0.108097i
\(190\) 11.1577 18.0250i 0.809462 1.30767i
\(191\) −3.39658 2.46776i −0.245768 0.178561i 0.458081 0.888910i \(-0.348537\pi\)
−0.703849 + 0.710350i \(0.748537\pi\)
\(192\) −9.77279 + 6.05256i −0.705291 + 0.436806i
\(193\) −14.8056 −1.06573 −0.532864 0.846201i \(-0.678884\pi\)
−0.532864 + 0.846201i \(0.678884\pi\)
\(194\) 11.2236 + 12.1224i 0.805806 + 0.870338i
\(195\) −9.43515 + 16.6405i −0.675665 + 1.19165i
\(196\) −4.37684 7.11714i −0.312632 0.508367i
\(197\) 8.89088 + 17.4493i 0.633449 + 1.24321i 0.955080 + 0.296349i \(0.0957691\pi\)
−0.321631 + 0.946865i \(0.604231\pi\)
\(198\) 0.484900 0.137169i 0.0344604 0.00974817i
\(199\) 4.95595i 0.351318i 0.984451 + 0.175659i \(0.0562056\pi\)
−0.984451 + 0.175659i \(0.943794\pi\)
\(200\) −8.84626 + 11.0338i −0.625525 + 0.780204i
\(201\) 2.84817i 0.200894i
\(202\) −0.385138 1.36148i −0.0270982 0.0957937i
\(203\) 1.62079 + 3.18099i 0.113757 + 0.223261i
\(204\) −3.23065 + 13.5507i −0.226191 + 0.948741i
\(205\) −2.49234 0.509480i −0.174072 0.0355836i
\(206\) 6.99362 6.47507i 0.487268 0.451139i
\(207\) −6.41911 −0.446159
\(208\) −22.6722 7.28766i −1.57203 0.505309i
\(209\) 2.06622 + 1.50119i 0.142923 + 0.103840i
\(210\) 2.88951 + 7.06571i 0.199395 + 0.487580i
\(211\) 9.52787 + 1.50907i 0.655925 + 0.103888i 0.475521 0.879704i \(-0.342259\pi\)
0.180404 + 0.983593i \(0.442259\pi\)
\(212\) 14.6202 23.9427i 1.00412 1.64439i
\(213\) −12.2803 + 1.94500i −0.841430 + 0.133269i
\(214\) −0.690526 2.44105i −0.0472034 0.166867i
\(215\) −14.7803 5.54174i −1.00801 0.377944i
\(216\) 1.84229 15.8873i 0.125352 1.08100i
\(217\) 9.01407 2.92885i 0.611915 0.198823i
\(218\) 6.39981 + 2.35528i 0.433450 + 0.159520i
\(219\) −13.8605 7.06227i −0.936605 0.477224i
\(220\) −1.24684 1.16118i −0.0840618 0.0782869i
\(221\) −25.7143 + 13.1021i −1.72973 + 0.881341i
\(222\) −0.358479 3.00845i −0.0240596 0.201914i
\(223\) −11.9341 + 8.67065i −0.799168 + 0.580629i −0.910670 0.413135i \(-0.864434\pi\)
0.111502 + 0.993764i \(0.464434\pi\)
\(224\) −7.88096 + 5.31096i −0.526569 + 0.354853i
\(225\) −1.04353 4.55857i −0.0695684 0.303904i
\(226\) 25.5054 11.7825i 1.69659 0.783763i
\(227\) −9.30707 1.47409i −0.617732 0.0978391i −0.160277 0.987072i \(-0.551239\pi\)
−0.457455 + 0.889233i \(0.651239\pi\)
\(228\) 16.4103 10.0919i 1.08680 0.668353i
\(229\) 5.68643 + 11.1603i 0.375770 + 0.737490i 0.999007 0.0445424i \(-0.0141830\pi\)
−0.623237 + 0.782033i \(0.714183\pi\)
\(230\) 11.2565 + 18.5560i 0.742233 + 1.22355i
\(231\) −0.874675 + 0.284199i −0.0575494 + 0.0186989i
\(232\) −5.23728 + 2.94931i −0.343844 + 0.193632i
\(233\) 4.91389 1.59662i 0.321919 0.104598i −0.143600 0.989636i \(-0.545868\pi\)
0.465519 + 0.885038i \(0.345868\pi\)
\(234\) 6.54435 4.38026i 0.427817 0.286347i
\(235\) 13.9089 1.57165i 0.907315 0.102523i
\(236\) 15.4512 + 18.0333i 1.00579 + 1.17387i
\(237\) 1.83450 + 11.5826i 0.119164 + 0.752370i
\(238\) −2.23790 + 11.2972i −0.145062 + 0.732291i
\(239\) 4.01636 2.91806i 0.259797 0.188753i −0.450261 0.892897i \(-0.648669\pi\)
0.710057 + 0.704144i \(0.248669\pi\)
\(240\) −11.6830 + 5.35571i −0.754135 + 0.345709i
\(241\) 4.35384 + 3.16325i 0.280455 + 0.203763i 0.719116 0.694890i \(-0.244547\pi\)
−0.438661 + 0.898653i \(0.644547\pi\)
\(242\) −11.2644 + 10.4292i −0.724105 + 0.670415i
\(243\) 6.59065 + 6.59065i 0.422790 + 0.422790i
\(244\) 6.63559 + 15.9485i 0.424800 + 1.02100i
\(245\) −3.86596 8.50396i −0.246987 0.543298i
\(246\) −1.81665 1.42981i −0.115825 0.0911611i
\(247\) 37.9581 + 12.3333i 2.41522 + 0.784752i
\(248\) 5.55841 + 14.9577i 0.352959 + 0.949812i
\(249\) 10.7909i 0.683846i
\(250\) −11.3477 + 11.0104i −0.717692 + 0.696361i
\(251\) 19.7796 19.7796i 1.24848 1.24848i 0.292086 0.956392i \(-0.405651\pi\)
0.956392 0.292086i \(-0.0943494\pi\)
\(252\) 0.241622 3.13327i 0.0152208 0.197378i
\(253\) −2.32976 + 1.18707i −0.146471 + 0.0746306i
\(254\) −1.35542 11.3750i −0.0850463 0.713731i
\(255\) −5.46794 + 14.5834i −0.342415 + 0.913249i
\(256\) −9.48604 12.8847i −0.592877 0.805293i
\(257\) −5.63837 −0.351712 −0.175856 0.984416i \(-0.556269\pi\)
−0.175856 + 0.984416i \(0.556269\pi\)
\(258\) −9.74579 10.5263i −0.606746 0.655337i
\(259\) −0.391832 2.47393i −0.0243472 0.153722i
\(260\) −24.1383 11.2368i −1.49699 0.696876i
\(261\) 0.310925 1.96310i 0.0192458 0.121513i
\(262\) −1.20860 1.80572i −0.0746677 0.111558i
\(263\) −17.2282 + 23.7125i −1.06233 + 1.46218i −0.184731 + 0.982789i \(0.559141\pi\)
−0.877603 + 0.479388i \(0.840859\pi\)
\(264\) −0.539357 1.45141i −0.0331951 0.0893280i
\(265\) 19.5479 24.5283i 1.20082 1.50676i
\(266\) 13.2359 8.85904i 0.811544 0.543182i
\(267\) −12.8825 6.56395i −0.788395 0.401707i
\(268\) −3.95158 + 0.317268i −0.241381 + 0.0193802i
\(269\) −6.48302 + 12.7237i −0.395277 + 0.775775i −0.999783 0.0208257i \(-0.993370\pi\)
0.604506 + 0.796600i \(0.293370\pi\)
\(270\) 4.25261 17.3686i 0.258806 1.05702i
\(271\) 6.63495 20.4203i 0.403044 1.24044i −0.519473 0.854487i \(-0.673872\pi\)
0.922517 0.385956i \(-0.126128\pi\)
\(272\) −19.1603 2.97278i −1.16177 0.180251i
\(273\) −11.6273 + 8.44772i −0.703715 + 0.511279i
\(274\) −4.35489 9.42693i −0.263088 0.569501i
\(275\) −1.22174 1.46151i −0.0736740 0.0881327i
\(276\) 1.57850 + 19.6603i 0.0950145 + 1.18341i
\(277\) −2.16653 + 13.6789i −0.130174 + 0.821888i 0.833052 + 0.553195i \(0.186592\pi\)
−0.963226 + 0.268693i \(0.913408\pi\)
\(278\) 16.2629 + 12.7998i 0.975381 + 0.767682i
\(279\) −5.01838 1.63057i −0.300442 0.0976196i
\(280\) −9.48119 + 4.79603i −0.566609 + 0.286617i
\(281\) 5.02896 1.63401i 0.300003 0.0974768i −0.155148 0.987891i \(-0.549585\pi\)
0.455151 + 0.890414i \(0.349585\pi\)
\(282\) 11.9378 + 4.39339i 0.710884 + 0.261622i
\(283\) −8.84523 4.50687i −0.525795 0.267906i 0.170881 0.985292i \(-0.445338\pi\)
−0.696676 + 0.717386i \(0.745338\pi\)
\(284\) −4.06647 16.8211i −0.241300 0.998151i
\(285\) 19.6080 8.91394i 1.16148 0.528016i
\(286\) 1.56518 2.80001i 0.0925511 0.165568i
\(287\) −1.54624 1.12341i −0.0912715 0.0663126i
\(288\) 5.28753 + 0.186871i 0.311571 + 0.0110115i
\(289\) −5.25639 + 3.81899i −0.309200 + 0.224647i
\(290\) −6.22005 + 2.54368i −0.365254 + 0.149370i
\(291\) 2.62582 + 16.5788i 0.153928 + 0.971865i
\(292\) 8.25431 20.0169i 0.483047 1.17140i
\(293\) 19.3113 19.3113i 1.12818 1.12818i 0.137708 0.990473i \(-0.456026\pi\)
0.990473 0.137708i \(-0.0439735\pi\)
\(294\) 0.326601 8.48306i 0.0190477 0.494742i
\(295\) 14.6336 + 22.1536i 0.852002 + 1.28983i
\(296\) 4.13403 0.832482i 0.240286 0.0483870i
\(297\) 2.04888 + 0.665723i 0.118888 + 0.0386291i
\(298\) 1.50173 + 5.30870i 0.0869928 + 0.307525i
\(299\) −28.8932 + 28.8932i −1.67094 + 1.67094i
\(300\) −13.7052 + 4.31706i −0.791272 + 0.249246i
\(301\) −8.38595 8.38595i −0.483358 0.483358i
\(302\) −15.4410 8.63136i −0.888527 0.496679i
\(303\) 0.444248 1.36725i 0.0255214 0.0785467i
\(304\) 15.8297 + 21.6438i 0.907893 + 1.24135i
\(305\) 5.14386 + 18.6152i 0.294536 + 1.06590i
\(306\) 4.70482 4.35597i 0.268956 0.249014i
\(307\) −17.4595 17.4595i −0.996464 0.996464i 0.00353025 0.999994i \(-0.498876\pi\)
−0.999994 + 0.00353025i \(0.998876\pi\)
\(308\) −0.491735 1.18188i −0.0280192 0.0673437i
\(309\) 9.56457 1.51488i 0.544110 0.0861785i
\(310\) 4.08665 + 17.3662i 0.232106 + 0.986332i
\(311\) −8.00946 11.0241i −0.454175 0.625118i 0.519113 0.854706i \(-0.326262\pi\)
−0.973288 + 0.229587i \(0.926262\pi\)
\(312\) −15.0250 18.9667i −0.850625 1.07378i
\(313\) 19.2730 26.5270i 1.08938 1.49940i 0.240614 0.970621i \(-0.422651\pi\)
0.848761 0.528776i \(-0.177349\pi\)
\(314\) 15.6667 4.43179i 0.884120 0.250101i
\(315\) 0.703674 3.44232i 0.0396475 0.193953i
\(316\) −15.8655 + 3.83544i −0.892503 + 0.215760i
\(317\) −5.43321 + 10.6633i −0.305160 + 0.598910i −0.991758 0.128128i \(-0.959103\pi\)
0.686598 + 0.727037i \(0.259103\pi\)
\(318\) 25.8761 11.9538i 1.45106 0.670336i
\(319\) −0.250185 0.769990i −0.0140077 0.0431111i
\(320\) −8.73199 15.6126i −0.488133 0.872769i
\(321\) 0.796506 2.45139i 0.0444566 0.136823i
\(322\) 1.92934 + 16.1915i 0.107518 + 0.902316i
\(323\) 32.0953 + 5.08340i 1.78583 + 0.282848i
\(324\) 6.89649 8.10059i 0.383139 0.450033i
\(325\) −25.2157 15.8216i −1.39872 0.877626i
\(326\) −5.22801 1.92403i −0.289553 0.106562i
\(327\) 4.07270 + 5.60559i 0.225221 + 0.309990i
\(328\) 1.78137 2.67971i 0.0983596 0.147962i
\(329\) 10.0017 + 3.24976i 0.551413 + 0.179165i
\(330\) −0.396545 1.68512i −0.0218291 0.0927626i
\(331\) 10.6672 + 5.43522i 0.586324 + 0.298747i 0.721875 0.692023i \(-0.243281\pi\)
−0.135551 + 0.990770i \(0.543281\pi\)
\(332\) 14.9715 1.20204i 0.821665 0.0659705i
\(333\) −0.633077 + 1.24248i −0.0346924 + 0.0680876i
\(334\) −2.19837 + 11.0977i −0.120290 + 0.607239i
\(335\) −4.42782 0.197437i −0.241918 0.0107871i
\(336\) −9.65592 + 0.0304576i −0.526774 + 0.00166160i
\(337\) 16.5517 + 12.0255i 0.901631 + 0.655073i 0.938884 0.344233i \(-0.111861\pi\)
−0.0372537 + 0.999306i \(0.511861\pi\)
\(338\) 6.16834 31.1386i 0.335513 1.69372i
\(339\) 28.1948 + 4.46562i 1.53133 + 0.242539i
\(340\) −20.8423 5.96179i −1.13033 0.323323i
\(341\) −2.12291 + 0.336236i −0.114962 + 0.0182082i
\(342\) −8.86045 0.341131i −0.479118 0.0184462i
\(343\) 18.7783i 1.01393i
\(344\) 13.5187 14.6940i 0.728877 0.792247i
\(345\) −0.982307 + 22.0297i −0.0528856 + 1.18604i
\(346\) 2.57173 3.26752i 0.138257 0.175663i
\(347\) −1.84748 3.62588i −0.0991778 0.194647i 0.836086 0.548598i \(-0.184838\pi\)
−0.935264 + 0.353950i \(0.884838\pi\)
\(348\) −6.08899 0.469553i −0.326404 0.0251707i
\(349\) 3.06654 + 3.06654i 0.164148 + 0.164148i 0.784402 0.620253i \(-0.212970\pi\)
−0.620253 + 0.784402i \(0.712970\pi\)
\(350\) −11.1848 + 4.00230i −0.597853 + 0.213932i
\(351\) 33.6660 1.79696
\(352\) 1.95362 0.909989i 0.104128 0.0485026i
\(353\) 6.30378 19.4010i 0.335516 1.03261i −0.630951 0.775823i \(-0.717335\pi\)
0.966467 0.256790i \(-0.0826649\pi\)
\(354\) 2.85490 + 23.9590i 0.151736 + 1.27341i
\(355\) −2.17247 19.2260i −0.115303 1.02041i
\(356\) 7.67189 18.6045i 0.406609 0.986037i
\(357\) −8.27427 + 8.27427i −0.437921 + 0.437921i
\(358\) −0.273996 + 7.11672i −0.0144812 + 0.376130i
\(359\) 3.58436 4.93344i 0.189175 0.260377i −0.703886 0.710313i \(-0.748553\pi\)
0.893061 + 0.449936i \(0.148553\pi\)
\(360\) 5.83977 + 0.942447i 0.307783 + 0.0496713i
\(361\) −15.2468 20.9854i −0.802462 1.10449i
\(362\) 6.55221 4.38553i 0.344377 0.230498i
\(363\) −15.4054 + 2.43997i −0.808573 + 0.128065i
\(364\) −13.0157 15.1908i −0.682207 0.796215i
\(365\) 11.9400 21.0582i 0.624967 1.10224i
\(366\) −3.41047 + 17.2165i −0.178268 + 0.899922i
\(367\) 2.84795 + 8.76509i 0.148662 + 0.457534i 0.997464 0.0711771i \(-0.0226756\pi\)
−0.848802 + 0.528711i \(0.822676\pi\)
\(368\) −27.1011 + 4.38006i −1.41274 + 0.228327i
\(369\) 0.328808 + 1.01197i 0.0171171 + 0.0526810i
\(370\) 4.70185 0.348752i 0.244438 0.0181307i
\(371\) 20.9965 10.6982i 1.09008 0.555425i
\(372\) −3.76001 + 15.7711i −0.194947 + 0.817693i
\(373\) −2.55155 + 16.1099i −0.132114 + 0.834136i 0.829254 + 0.558872i \(0.188766\pi\)
−0.961368 + 0.275265i \(0.911234\pi\)
\(374\) 0.902032 2.45101i 0.0466429 0.126739i
\(375\) −15.8042 + 2.88368i −0.816125 + 0.148912i
\(376\) −4.76565 + 17.0520i −0.245770 + 0.879391i
\(377\) −7.43665 10.2357i −0.383007 0.527164i
\(378\) 8.30902 10.5571i 0.427370 0.542997i
\(379\) 13.8337 + 27.1502i 0.710591 + 1.39461i 0.909963 + 0.414689i \(0.136110\pi\)
−0.199373 + 0.979924i \(0.563890\pi\)
\(380\) 14.5515 + 26.2115i 0.746477 + 1.34462i
\(381\) 5.28413 10.3707i 0.270714 0.531306i
\(382\) 5.39008 2.49002i 0.275781 0.127400i
\(383\) −2.76665 8.51487i −0.141369 0.435089i 0.855157 0.518369i \(-0.173461\pi\)
−0.996526 + 0.0832795i \(0.973461\pi\)
\(384\) −0.727895 16.2405i −0.0371452 0.828767i
\(385\) −0.381189 1.37949i −0.0194272 0.0703053i
\(386\) 10.2165 18.2766i 0.520004 0.930254i
\(387\) 1.03286 + 6.52123i 0.0525033 + 0.331493i
\(388\) −22.7091 + 5.48987i −1.15288 + 0.278706i
\(389\) 5.20905 32.8886i 0.264109 1.66752i −0.397447 0.917625i \(-0.630104\pi\)
0.661556 0.749895i \(-0.269896\pi\)
\(390\) −14.0311 23.1298i −0.710493 1.17122i
\(391\) −19.5548 + 26.9149i −0.988929 + 1.36114i
\(392\) 11.8059 0.491829i 0.596287 0.0248411i
\(393\) 2.20773i 0.111365i
\(394\) −27.6752 1.06551i −1.39426 0.0536794i
\(395\) −18.1337 + 2.04904i −0.912406 + 0.103098i
\(396\) −0.165275 + 0.693233i −0.00830536 + 0.0348363i
\(397\) 17.1015 8.71367i 0.858302 0.437327i 0.0312895 0.999510i \(-0.490039\pi\)
0.827012 + 0.562184i \(0.190039\pi\)
\(398\) −6.11782 3.41981i −0.306659 0.171420i
\(399\) 16.1826 0.810145
\(400\) −7.51622 18.5339i −0.375811 0.926696i
\(401\) −2.74609 −0.137133 −0.0685667 0.997647i \(-0.521843\pi\)
−0.0685667 + 0.997647i \(0.521843\pi\)
\(402\) −3.51589 1.96535i −0.175357 0.0980229i
\(403\) −29.9277 + 15.2489i −1.49081 + 0.759603i
\(404\) 1.94643 + 0.464051i 0.0968386 + 0.0230874i
\(405\) 8.77691 8.02760i 0.436128 0.398895i
\(406\) −5.04515 0.194240i −0.250387 0.00963997i
\(407\) 0.568022i 0.0281558i
\(408\) −14.4983 13.3386i −0.717772 0.660360i
\(409\) −10.8513 + 14.9356i −0.536565 + 0.738518i −0.988113 0.153729i \(-0.950872\pi\)
0.451549 + 0.892247i \(0.350872\pi\)
\(410\) 2.34874 2.72508i 0.115996 0.134582i
\(411\) 1.65052 10.4210i 0.0814140 0.514028i
\(412\) 3.16720 + 13.1013i 0.156037 + 0.645453i
\(413\) 3.12051 + 19.7021i 0.153550 + 0.969479i
\(414\) 4.42946 7.92401i 0.217696 0.389444i
\(415\) 16.7758 + 0.748035i 0.823491 + 0.0367196i
\(416\) 24.6410 22.9587i 1.20812 1.12564i
\(417\) 6.49798 + 19.9987i 0.318207 + 0.979341i
\(418\) −3.27891 + 1.51473i −0.160377 + 0.0740881i
\(419\) −1.99707 + 3.91947i −0.0975633 + 0.191479i −0.934630 0.355623i \(-0.884269\pi\)
0.837066 + 0.547101i \(0.184269\pi\)
\(420\) −10.7161 1.30870i −0.522891 0.0638581i
\(421\) 10.5726 + 20.7500i 0.515279 + 1.01129i 0.991271 + 0.131842i \(0.0420892\pi\)
−0.475992 + 0.879450i \(0.657911\pi\)
\(422\) −8.43748 + 10.7203i −0.410730 + 0.521854i
\(423\) −3.44136 4.73662i −0.167325 0.230302i
\(424\) 19.4673 + 34.5693i 0.945416 + 1.67883i
\(425\) −22.2927 9.51151i −1.08135 0.461376i
\(426\) 6.07290 16.5014i 0.294233 0.799494i
\(427\) −2.26986 + 14.3313i −0.109846 + 0.693542i
\(428\) 3.48982 + 0.832013i 0.168687 + 0.0402169i
\(429\) 2.90402 1.47967i 0.140207 0.0714392i
\(430\) 17.0400 14.4213i 0.821739 0.695458i
\(431\) 2.42604 + 7.46659i 0.116858 + 0.359653i 0.992330 0.123616i \(-0.0394492\pi\)
−0.875472 + 0.483269i \(0.839449\pi\)
\(432\) 18.3407 + 13.2371i 0.882417 + 0.636871i
\(433\) −10.6389 32.7431i −0.511272 1.57353i −0.789964 0.613153i \(-0.789901\pi\)
0.278692 0.960380i \(-0.410099\pi\)
\(434\) −2.60459 + 13.1484i −0.125025 + 0.631141i
\(435\) −6.68957 1.36747i −0.320740 0.0655652i
\(436\) −7.32360 + 6.27494i −0.350737 + 0.300515i
\(437\) 45.4422 7.19734i 2.17380 0.344295i
\(438\) 18.2823 12.2367i 0.873560 0.584691i
\(439\) −18.9919 26.1400i −0.906432 1.24760i −0.968371 0.249516i \(-0.919728\pi\)
0.0619388 0.998080i \(-0.480272\pi\)
\(440\) 2.29378 0.737884i 0.109352 0.0351772i
\(441\) −2.29667 + 3.16109i −0.109365 + 0.150528i
\(442\) 1.57019 40.7837i 0.0746862 1.93988i
\(443\) 10.0487 10.0487i 0.477426 0.477426i −0.426882 0.904308i \(-0.640388\pi\)
0.904308 + 0.426882i \(0.140388\pi\)
\(444\) 3.96112 + 1.63343i 0.187986 + 0.0775194i
\(445\) 11.0975 19.5724i 0.526071 0.927819i
\(446\) −2.46836 20.7151i −0.116880 0.980887i
\(447\) −1.73221 + 5.33119i −0.0819307 + 0.252157i
\(448\) −1.11787 13.3934i −0.0528142 0.632777i
\(449\) −0.885267 −0.0417783 −0.0208892 0.999782i \(-0.506650\pi\)
−0.0208892 + 0.999782i \(0.506650\pi\)
\(450\) 6.34735 + 1.85743i 0.299217 + 0.0875601i
\(451\) 0.306479 + 0.306479i 0.0144315 + 0.0144315i
\(452\) −3.05493 + 39.6153i −0.143692 + 1.86335i
\(453\) −8.15980 16.0145i −0.383381 0.752428i
\(454\) 8.24194 10.4718i 0.386814 0.491467i
\(455\) −12.3270 18.6616i −0.577898 0.874871i
\(456\) 1.13404 + 27.2214i 0.0531061 + 1.27476i
\(457\) 1.84633i 0.0863675i 0.999067 + 0.0431837i \(0.0137501\pi\)
−0.999067 + 0.0431837i \(0.986250\pi\)
\(458\) −17.7005 0.681477i −0.827092 0.0318433i
\(459\) 27.0729 4.28793i 1.26365 0.200143i
\(460\) −30.6737 + 1.09111i −1.43017 + 0.0508730i
\(461\) −37.1246 5.87996i −1.72906 0.273857i −0.788886 0.614539i \(-0.789342\pi\)
−0.940179 + 0.340682i \(0.889342\pi\)
\(462\) 0.252735 1.27584i 0.0117583 0.0593576i
\(463\) 23.9626 + 17.4098i 1.11364 + 0.809104i 0.983232 0.182357i \(-0.0583726\pi\)
0.130404 + 0.991461i \(0.458373\pi\)
\(464\) −0.0268123 8.50025i −0.00124473 0.394614i
\(465\) −6.36389 + 16.9730i −0.295118 + 0.787104i
\(466\) −1.41986 + 7.16763i −0.0657735 + 0.332034i
\(467\) 0.00257256 0.00504893i 0.000119044 0.000233636i −0.890947 0.454107i \(-0.849958\pi\)
0.891066 + 0.453874i \(0.149958\pi\)
\(468\) 0.891299 + 11.1012i 0.0412003 + 0.513152i
\(469\) −2.96705 1.51179i −0.137006 0.0698078i
\(470\) −7.65759 + 18.2542i −0.353218 + 0.842002i
\(471\) 15.7330 + 5.11198i 0.724940 + 0.235547i
\(472\) −32.9230 + 6.62980i −1.51541 + 0.305161i
\(473\) 1.58082 + 2.17582i 0.0726864 + 0.100044i
\(474\) −15.5639 5.72788i −0.714873 0.263090i
\(475\) 12.4986 + 31.1010i 0.573473 + 1.42701i
\(476\) −12.4015 10.5581i −0.568423 0.483931i
\(477\) −12.9577 2.05230i −0.593292 0.0939683i
\(478\) 0.830711 + 6.97153i 0.0379958 + 0.318871i
\(479\) 3.67571 11.3127i 0.167947 0.516889i −0.831294 0.555833i \(-0.812399\pi\)
0.999241 + 0.0389441i \(0.0123994\pi\)
\(480\) 1.45046 18.1176i 0.0662043 0.826953i
\(481\) 2.74301 + 8.44212i 0.125071 + 0.384928i
\(482\) −6.90917 + 3.19178i −0.314704 + 0.145382i
\(483\) −7.52157 + 14.7619i −0.342243 + 0.671690i
\(484\) −5.10132 21.1018i −0.231878 0.959175i
\(485\) −25.9558 + 2.93290i −1.17859 + 0.133176i
\(486\) −12.6836 + 3.58794i −0.575339 + 0.162752i
\(487\) −5.09468 + 7.01223i −0.230862 + 0.317754i −0.908694 0.417462i \(-0.862920\pi\)
0.677832 + 0.735217i \(0.262920\pi\)
\(488\) −24.2663 2.81392i −1.09849 0.127380i
\(489\) −3.32699 4.57921i −0.150452 0.207079i
\(490\) 13.1653 + 1.09579i 0.594748 + 0.0495029i
\(491\) −29.3463 + 4.64799i −1.32438 + 0.209761i −0.778258 0.627945i \(-0.783896\pi\)
−0.546121 + 0.837706i \(0.683896\pi\)
\(492\) 3.01857 1.25591i 0.136088 0.0566210i
\(493\) −7.28396 7.28396i −0.328053 0.328053i
\(494\) −41.4174 + 38.3465i −1.86346 + 1.72529i
\(495\) −0.279730 + 0.746063i −0.0125729 + 0.0335330i
\(496\) −22.2999 3.45988i −1.00129 0.155353i
\(497\) 4.49209 13.8252i 0.201498 0.620146i
\(498\) 13.3207 + 7.44618i 0.596917 + 0.333671i
\(499\) 10.7270 + 10.7270i 0.480207 + 0.480207i 0.905198 0.424990i \(-0.139723\pi\)
−0.424990 + 0.905198i \(0.639723\pi\)
\(500\) −5.76134 21.6057i −0.257655 0.966237i
\(501\) −8.12812 + 8.12812i −0.363138 + 0.363138i
\(502\) 10.7680 + 38.0655i 0.480599 + 1.69895i
\(503\) 28.8279 + 9.36675i 1.28537 + 0.417643i 0.870469 0.492223i \(-0.163815\pi\)
0.414903 + 0.909865i \(0.363815\pi\)
\(504\) 3.70111 + 2.46036i 0.164861 + 0.109593i
\(505\) 2.09477 + 0.785416i 0.0932159 + 0.0349506i
\(506\) 0.142262 3.69508i 0.00632431 0.164266i
\(507\) 22.8064 22.8064i 1.01287 1.01287i
\(508\) 14.9770 + 6.17604i 0.664499 + 0.274017i
\(509\) 4.48562 + 28.3211i 0.198822 + 1.25531i 0.862023 + 0.506869i \(0.169197\pi\)
−0.663201 + 0.748441i \(0.730803\pi\)
\(510\) −14.2293 16.8130i −0.630082 0.744492i
\(511\) 14.7141 10.6904i 0.650913 0.472916i
\(512\) 22.4511 2.81898i 0.992209 0.124582i
\(513\) −30.6674 22.2812i −1.35400 0.983739i
\(514\) 3.89071 6.96023i 0.171612 0.307002i
\(515\) 1.69204 + 14.9743i 0.0745602 + 0.659847i
\(516\) 19.7190 4.76703i 0.868083 0.209857i
\(517\) −2.12494 1.08271i −0.0934549 0.0476177i
\(518\) 3.32430 + 1.22342i 0.146061 + 0.0537540i
\(519\) 4.01813 1.30557i 0.176376 0.0573082i
\(520\) 30.5276 22.0435i 1.33872 0.966669i
\(521\) −6.07194 1.97289i −0.266017 0.0864340i 0.172972 0.984927i \(-0.444663\pi\)
−0.438988 + 0.898493i \(0.644663\pi\)
\(522\) 2.20878 + 1.73844i 0.0966757 + 0.0760895i
\(523\) −4.88436 + 30.8386i −0.213578 + 1.34848i 0.614965 + 0.788554i \(0.289170\pi\)
−0.828543 + 0.559925i \(0.810830\pi\)
\(524\) 3.06304 0.245928i 0.133809 0.0107434i
\(525\) −11.7060 2.94170i −0.510891 0.128387i
\(526\) −17.3836 37.6298i −0.757959 1.64074i
\(527\) −22.1245 + 16.0744i −0.963759 + 0.700212i
\(528\) 2.16386 + 0.335728i 0.0941697 + 0.0146107i
\(529\) −7.44835 + 22.9237i −0.323841 + 0.996681i
\(530\) 16.7899 + 41.0562i 0.729306 + 1.78337i
\(531\) 5.04176 9.89501i 0.218794 0.429407i
\(532\) 1.80264 + 22.4520i 0.0781546 + 0.973418i
\(533\) 6.03500 + 3.07499i 0.261405 + 0.133192i
\(534\) 16.9923 11.3733i 0.735327 0.492169i
\(535\) 3.75578 + 1.40820i 0.162376 + 0.0608817i
\(536\) 2.33511 5.09692i 0.100861 0.220154i
\(537\) −4.25338 + 5.85428i −0.183547 + 0.252631i
\(538\) −11.2330 16.7828i −0.484290 0.723556i
\(539\) −0.248982 + 1.57201i −0.0107244 + 0.0677112i
\(540\) 18.5060 + 17.2346i 0.796370 + 0.741660i
\(541\) 0.746804 + 4.71513i 0.0321076 + 0.202719i 0.998527 0.0542488i \(-0.0172764\pi\)
−0.966420 + 0.256968i \(0.917276\pi\)
\(542\) 20.6292 + 22.2813i 0.886100 + 0.957063i
\(543\) 8.01096 0.343783
\(544\) 16.8911 21.6010i 0.724202 0.926133i
\(545\) −8.99690 + 5.94292i −0.385385 + 0.254567i
\(546\) −2.40489 20.1825i −0.102920 0.863730i
\(547\) −25.1160 + 12.7972i −1.07388 + 0.547170i −0.899237 0.437461i \(-0.855878\pi\)
−0.174645 + 0.984631i \(0.555878\pi\)
\(548\) 14.6420 + 1.12912i 0.625477 + 0.0482336i
\(549\) 5.71207 5.71207i 0.243785 0.243785i
\(550\) 2.64721 0.499664i 0.112877 0.0213058i
\(551\) 14.2458i 0.606892i
\(552\) −25.3587 11.6178i −1.07934 0.494488i
\(553\) −13.0398 4.23688i −0.554507 0.180170i
\(554\) −15.3908 12.1135i −0.653894 0.514653i
\(555\) 4.16719 + 2.36279i 0.176887 + 0.100295i
\(556\) −27.0227 + 11.2431i −1.14602 + 0.476814i
\(557\) 16.5850 + 16.5850i 0.702728 + 0.702728i 0.964995 0.262267i \(-0.0844702\pi\)
−0.262267 + 0.964995i \(0.584470\pi\)
\(558\) 5.47573 5.06972i 0.231806 0.214619i
\(559\) 34.0019 + 24.7038i 1.43813 + 1.04486i
\(560\) 0.622006 15.0134i 0.0262845 0.634433i
\(561\) 2.14684 1.55977i 0.0906397 0.0658536i
\(562\) −1.45311 + 7.33549i −0.0612956 + 0.309429i
\(563\) 2.34597 + 14.8118i 0.0988707 + 0.624245i 0.986509 + 0.163705i \(0.0523444\pi\)
−0.887639 + 0.460540i \(0.847656\pi\)
\(564\) −13.6609 + 11.7049i −0.575229 + 0.492863i
\(565\) −8.89684 + 43.5227i −0.374293 + 1.83102i
\(566\) 11.6670 7.80898i 0.490402 0.328236i
\(567\) 8.49905 2.76151i 0.356927 0.115972i
\(568\) 23.5707 + 6.58747i 0.989005 + 0.276404i
\(569\) 12.7278 4.13552i 0.533578 0.173370i −0.0298205 0.999555i \(-0.509494\pi\)
0.563399 + 0.826185i \(0.309494\pi\)
\(570\) −2.52662 + 30.3559i −0.105829 + 1.27147i
\(571\) −3.52386 6.91596i −0.147469 0.289424i 0.805442 0.592675i \(-0.201928\pi\)
−0.952911 + 0.303251i \(0.901928\pi\)
\(572\) 2.37640 + 3.86425i 0.0993624 + 0.161572i
\(573\) 5.95844 + 0.943725i 0.248918 + 0.0394247i
\(574\) 2.45375 1.13354i 0.102417 0.0473130i
\(575\) −34.1798 3.05423i −1.42539 0.127370i
\(576\) −3.87930 + 6.39819i −0.161637 + 0.266591i
\(577\) 3.32777 2.41777i 0.138537 0.100653i −0.516358 0.856373i \(-0.672713\pi\)
0.654895 + 0.755720i \(0.272713\pi\)
\(578\) −1.08719 9.12397i −0.0452211 0.379507i
\(579\) 18.9555 9.65831i 0.787763 0.401386i
\(580\) 1.15207 9.43353i 0.0478371 0.391706i
\(581\) 11.2413 + 5.72774i 0.466368 + 0.237627i
\(582\) −22.2774 8.19863i −0.923430 0.339844i
\(583\) −5.08241 + 1.65138i −0.210492 + 0.0683930i
\(584\) 19.0139 + 24.0020i 0.786799 + 0.993208i
\(585\) −0.554659 + 12.4391i −0.0229323 + 0.514292i
\(586\) 10.5131 + 37.1643i 0.434291 + 1.53524i
\(587\) −46.2719 + 7.32875i −1.90985 + 0.302490i −0.994882 0.101047i \(-0.967781\pi\)
−0.914963 + 0.403537i \(0.867781\pi\)
\(588\) 10.2465 + 6.25683i 0.422557 + 0.258027i
\(589\) 37.3543 + 5.91635i 1.53916 + 0.243779i
\(590\) −37.4451 + 2.77743i −1.54159 + 0.114345i
\(591\) −22.7659 16.5404i −0.936464 0.680381i
\(592\) −1.82500 + 5.67766i −0.0750072 + 0.233350i
\(593\) 16.1085 0.661497 0.330748 0.943719i \(-0.392699\pi\)
0.330748 + 0.943719i \(0.392699\pi\)
\(594\) −2.23561 + 2.06985i −0.0917282 + 0.0849269i
\(595\) −12.2898 13.4369i −0.503832 0.550861i
\(596\) −7.58953 1.80943i −0.310879 0.0741171i
\(597\) −3.23297 6.34507i −0.132317 0.259686i
\(598\) −15.7294 55.6045i −0.643224 2.27384i
\(599\) 23.0804i 0.943038i −0.881856 0.471519i \(-0.843706\pi\)
0.881856 0.471519i \(-0.156294\pi\)
\(600\) 4.12803 19.8972i 0.168526 0.812301i
\(601\) 2.41261i 0.0984124i 0.998789 + 0.0492062i \(0.0156691\pi\)
−0.998789 + 0.0492062i \(0.984331\pi\)
\(602\) 16.1386 4.56530i 0.657761 0.186068i
\(603\) 0.841652 + 1.65183i 0.0342747 + 0.0672679i
\(604\) 21.3098 13.1049i 0.867084 0.533232i
\(605\) −2.72532 24.1187i −0.110800 0.980565i
\(606\) 1.38124 + 1.49186i 0.0561092 + 0.0606026i
\(607\) 17.0014 0.690065 0.345033 0.938591i \(-0.387868\pi\)
0.345033 + 0.938591i \(0.387868\pi\)
\(608\) −37.6410 + 4.60567i −1.52655 + 0.186785i
\(609\) −4.15018 3.01529i −0.168174 0.122186i
\(610\) −26.5288 6.49545i −1.07412 0.262993i
\(611\) −36.8101 5.83014i −1.48918 0.235862i
\(612\) 2.13067 + 8.81362i 0.0861272 + 0.356269i
\(613\) 40.8939 6.47695i 1.65169 0.261602i 0.740037 0.672566i \(-0.234808\pi\)
0.911651 + 0.410965i \(0.134808\pi\)
\(614\) 33.6004 9.50490i 1.35600 0.383587i
\(615\) 3.52328 0.973575i 0.142072 0.0392583i
\(616\) 1.79828 + 0.208527i 0.0724546 + 0.00840180i
\(617\) −15.8170 + 5.13924i −0.636767 + 0.206898i −0.609570 0.792732i \(-0.708658\pi\)
−0.0271965 + 0.999630i \(0.508658\pi\)
\(618\) −4.72992 + 12.8522i −0.190265 + 0.516992i
\(619\) 18.8271 + 9.59289i 0.756725 + 0.385571i 0.789387 0.613896i \(-0.210399\pi\)
−0.0326621 + 0.999466i \(0.510399\pi\)
\(620\) −24.2575 6.93866i −0.974203 0.278663i
\(621\) 34.5791 17.6189i 1.38761 0.707023i
\(622\) 19.1354 2.28013i 0.767261 0.0914249i
\(623\) 13.6759 9.93609i 0.547911 0.398081i
\(624\) 33.7812 5.45969i 1.35233 0.218563i
\(625\) −3.38747 24.7694i −0.135499 0.990778i
\(626\) 19.4469 + 42.0962i 0.777253 + 1.68250i
\(627\) −3.62466 0.574089i −0.144755 0.0229269i
\(628\) −5.33986 + 22.3977i −0.213084 + 0.893764i
\(629\) 3.28107 + 6.43947i 0.130825 + 0.256758i
\(630\) 3.76378 + 3.24399i 0.149952 + 0.129244i
\(631\) −3.45870 + 1.12380i −0.137689 + 0.0447377i −0.377051 0.926193i \(-0.623062\pi\)
0.239362 + 0.970930i \(0.423062\pi\)
\(632\) 6.21322 22.2316i 0.247149 0.884325i
\(633\) −13.1829 + 4.28338i −0.523973 + 0.170249i
\(634\) −9.41404 14.0651i −0.373879 0.558596i
\(635\) 15.7562 + 8.93372i 0.625265 + 0.354524i
\(636\) −3.09934 + 40.1911i −0.122897 + 1.59368i
\(637\) 3.89087 + 24.5660i 0.154162 + 0.973341i
\(638\) 1.12314 + 0.222487i 0.0444657 + 0.00880833i
\(639\) −6.54735 + 4.75693i −0.259009 + 0.188181i
\(640\) 25.2982 0.00580059i 1.00000 0.000229289i
\(641\) 30.2838 + 22.0025i 1.19614 + 0.869046i 0.993899 0.110290i \(-0.0351780\pi\)
0.202240 + 0.979336i \(0.435178\pi\)
\(642\) 2.47648 + 2.67480i 0.0977388 + 0.105566i
\(643\) 7.39178 + 7.39178i 0.291503 + 0.291503i 0.837674 0.546171i \(-0.183915\pi\)
−0.546171 + 0.837674i \(0.683915\pi\)
\(644\) −21.3187 8.79114i −0.840076 0.346420i
\(645\) 22.5382 2.54673i 0.887441 0.100278i
\(646\) −28.4223 + 36.1120i −1.11826 + 1.42081i
\(647\) −23.8367 7.74501i −0.937117 0.304488i −0.199647 0.979868i \(-0.563980\pi\)
−0.737470 + 0.675380i \(0.763980\pi\)
\(648\) 5.24083 + 14.1031i 0.205879 + 0.554020i
\(649\) 4.52367i 0.177570i
\(650\) 36.9307 20.2097i 1.44854 0.792689i
\(651\) −9.63005 + 9.63005i −0.377431 + 0.377431i
\(652\) 5.98265 5.12601i 0.234299 0.200750i
\(653\) 32.0831 16.3472i 1.25551 0.639714i 0.305577 0.952167i \(-0.401151\pi\)
0.949933 + 0.312453i \(0.101151\pi\)
\(654\) −9.73010 + 1.15941i −0.380477 + 0.0453367i
\(655\) 3.43219 + 0.153042i 0.134107 + 0.00597983i
\(656\) 2.07872 + 4.04810i 0.0811605 + 0.158052i
\(657\) −10.1255 −0.395034
\(658\) −10.9132 + 10.1041i −0.425443 + 0.393898i
\(659\) −6.61859 41.7882i −0.257824 1.62784i −0.688435 0.725298i \(-0.741702\pi\)
0.430611 0.902538i \(-0.358298\pi\)
\(660\) 2.35381 + 0.673289i 0.0916218 + 0.0262077i
\(661\) −0.591112 + 3.73214i −0.0229916 + 0.145163i −0.996514 0.0834299i \(-0.973413\pi\)
0.973522 + 0.228593i \(0.0734125\pi\)
\(662\) −14.0703 + 9.41752i −0.546857 + 0.366022i
\(663\) 24.3748 33.5490i 0.946639 1.30294i
\(664\) −8.84708 + 19.3108i −0.343333 + 0.749405i
\(665\) −1.12179 + 25.1579i −0.0435013 + 0.975581i
\(666\) −1.09692 1.63886i −0.0425048 0.0635045i
\(667\) −12.9951 6.62135i −0.503174 0.256380i
\(668\) −12.1825 10.3716i −0.471354 0.401291i
\(669\) 9.62295 18.8861i 0.372045 0.730179i
\(670\) 3.29911 5.32964i 0.127456 0.205902i
\(671\) 1.01683 3.12947i 0.0392541 0.120812i
\(672\) 6.62539 11.9407i 0.255580 0.460621i
\(673\) 27.7570 20.1667i 1.06995 0.777368i 0.0940505 0.995567i \(-0.470018\pi\)
0.975904 + 0.218200i \(0.0700185\pi\)
\(674\) −26.2662 + 12.1340i −1.01174 + 0.467385i
\(675\) 18.1335 + 21.6923i 0.697959 + 0.834936i
\(676\) 34.1824 + 29.1014i 1.31471 + 1.11928i
\(677\) 5.00716 31.6140i 0.192441 1.21502i −0.682534 0.730854i \(-0.739122\pi\)
0.874974 0.484169i \(-0.160878\pi\)
\(678\) −24.9681 + 31.7234i −0.958896 + 1.21833i
\(679\) −18.6645 6.06447i −0.716279 0.232733i
\(680\) 21.7415 21.6147i 0.833750 0.828887i
\(681\) 12.8774 4.18412i 0.493463 0.160336i
\(682\) 1.04983 2.85263i 0.0402002 0.109233i
\(683\) −23.2437 11.8432i −0.889395 0.453169i −0.0512932 0.998684i \(-0.516334\pi\)
−0.838101 + 0.545514i \(0.816334\pi\)
\(684\) 6.53519 10.7023i 0.249879 0.409213i
\(685\) 16.0862 + 3.28832i 0.614623 + 0.125640i
\(686\) 23.1807 + 12.9578i 0.885044 + 0.494732i
\(687\) −14.5606 10.5789i −0.555522 0.403610i
\(688\) 8.81042 + 26.8274i 0.335894 + 1.02279i
\(689\) −67.5618 + 49.0865i −2.57390 + 1.87005i
\(690\) −26.5165 16.4140i −1.00947 0.624871i
\(691\) −5.76517 36.3998i −0.219317 1.38472i −0.814051 0.580793i \(-0.802743\pi\)
0.594734 0.803923i \(-0.297257\pi\)
\(692\) 2.25896 + 5.42938i 0.0858728 + 0.206394i
\(693\) −0.423297 + 0.423297i −0.0160797 + 0.0160797i
\(694\) 5.75077 + 0.221406i 0.218296 + 0.00840447i
\(695\) −31.5409 + 8.71557i −1.19641 + 0.330600i
\(696\) 4.78129 7.19248i 0.181234 0.272630i
\(697\) 5.24477 + 1.70413i 0.198660 + 0.0645485i
\(698\) −5.90150 + 1.66942i −0.223375 + 0.0631885i
\(699\) −5.24968 + 5.24968i −0.198561 + 0.198561i
\(700\) 2.77738 16.5687i 0.104975 0.626239i
\(701\) −9.16318 9.16318i −0.346089 0.346089i 0.512562 0.858650i \(-0.328697\pi\)
−0.858650 + 0.512562i \(0.828697\pi\)
\(702\) −23.2309 + 41.5586i −0.876794 + 1.56853i
\(703\) 3.08856 9.50562i 0.116487 0.358511i
\(704\) −0.224753 + 3.03956i −0.00847071 + 0.114558i
\(705\) −16.7822 + 11.0855i −0.632054 + 0.417505i
\(706\) 19.5995 + 21.1692i 0.737639 + 0.796712i
\(707\) 1.18852 + 1.18852i 0.0446988 + 0.0446988i
\(708\) −31.5460 13.0085i −1.18557 0.488890i
\(709\) 1.66729 0.264073i 0.0626164 0.00991746i −0.125048 0.992151i \(-0.539908\pi\)
0.187664 + 0.982233i \(0.439908\pi\)
\(710\) 25.2324 + 10.5850i 0.946956 + 0.397246i
\(711\) 4.48667 + 6.17538i 0.168263 + 0.231595i
\(712\) 17.6722 + 22.3084i 0.662295 + 0.836041i
\(713\) −22.7590 + 31.3250i −0.852330 + 1.17313i
\(714\) −4.50450 15.9237i −0.168577 0.595928i
\(715\) 2.09902 + 4.61722i 0.0784989 + 0.172674i
\(716\) −8.59610 5.24907i −0.321251 0.196167i
\(717\) −3.23855 + 6.35601i −0.120946 + 0.237370i
\(718\) 3.61669 + 7.82895i 0.134974 + 0.292174i
\(719\) −7.56208 23.2737i −0.282018 0.867962i −0.987277 0.159012i \(-0.949169\pi\)
0.705259 0.708950i \(-0.250831\pi\)
\(720\) −5.19308 + 6.55852i −0.193535 + 0.244422i
\(721\) −3.49869 + 10.7679i −0.130298 + 0.401017i
\(722\) 36.4261 4.34045i 1.35564 0.161535i
\(723\) −7.63772 1.20970i −0.284050 0.0449891i
\(724\) 0.892371 + 11.1145i 0.0331647 + 0.413068i
\(725\) 2.58963 10.3050i 0.0961763 0.382717i
\(726\) 7.61836 20.7007i 0.282744 0.768276i
\(727\) −4.60692 6.34088i −0.170861 0.235170i 0.714996 0.699129i \(-0.246429\pi\)
−0.885857 + 0.463959i \(0.846429\pi\)
\(728\) 27.7335 5.58478i 1.02787 0.206986i
\(729\) −27.9143 9.06990i −1.03386 0.335922i
\(730\) 17.7561 + 29.2703i 0.657182 + 1.08334i
\(731\) 30.4895 + 15.5352i 1.12769 + 0.574589i
\(732\) −18.8994 16.0901i −0.698542 0.594709i
\(733\) 7.55594 14.8294i 0.279085 0.547735i −0.708331 0.705880i \(-0.750552\pi\)
0.987416 + 0.158146i \(0.0505515\pi\)
\(734\) −12.7852 2.53265i −0.471910 0.0934819i
\(735\) 10.4971 + 8.36564i 0.387190 + 0.308571i
\(736\) 13.2940 36.4771i 0.490022 1.34456i
\(737\) 0.610940 + 0.443874i 0.0225043 + 0.0163503i
\(738\) −1.47611 0.292406i −0.0543362 0.0107636i
\(739\) −1.05781 0.167540i −0.0389120 0.00616306i 0.136948 0.990578i \(-0.456271\pi\)
−0.175860 + 0.984415i \(0.556271\pi\)
\(740\) −2.81396 + 6.04481i −0.103443 + 0.222212i
\(741\) −56.6431 + 8.97139i −2.08084 + 0.329572i
\(742\) −1.28211 + 33.3011i −0.0470676 + 1.22252i
\(743\) 48.4018i 1.77569i −0.460142 0.887845i \(-0.652202\pi\)
0.460142 0.887845i \(-0.347798\pi\)
\(744\) −16.8739 15.5242i −0.618628 0.569146i
\(745\) −8.16791 3.06249i −0.299249 0.112201i
\(746\) −18.1260 14.2662i −0.663639 0.522323i
\(747\) −3.18878 6.25834i −0.116672 0.228981i
\(748\) 2.40319 + 2.80481i 0.0878694 + 0.102554i
\(749\) 2.13093 + 2.13093i 0.0778626 + 0.0778626i
\(750\) 7.34582 21.4992i 0.268231 0.785039i
\(751\) 8.69178 0.317167 0.158584 0.987346i \(-0.449307\pi\)
0.158584 + 0.987346i \(0.449307\pi\)
\(752\) −17.7612 17.6495i −0.647685 0.643612i
\(753\) −12.4206 + 38.2268i −0.452633 + 1.39306i
\(754\) 17.7669 2.11706i 0.647033 0.0770989i
\(755\) 25.4622 11.5753i 0.926663 0.421267i
\(756\) 7.29849 + 17.5418i 0.265443 + 0.637989i
\(757\) −29.1831 + 29.1831i −1.06068 + 1.06068i −0.0626398 + 0.998036i \(0.519952\pi\)
−0.998036 + 0.0626398i \(0.980048\pi\)
\(758\) −43.0612 1.65787i −1.56405 0.0602165i
\(759\) 2.20840 3.03961i 0.0801599 0.110331i
\(760\) −42.3976 0.124013i −1.53792 0.00449843i
\(761\) −9.90268 13.6299i −0.358972 0.494082i 0.590890 0.806752i \(-0.298777\pi\)
−0.949862 + 0.312670i \(0.898777\pi\)
\(762\) 9.15572 + 13.6791i 0.331677 + 0.495543i
\(763\) −8.00132 + 1.26728i −0.289667 + 0.0458788i
\(764\) −0.645603 + 8.37195i −0.0233571 + 0.302886i
\(765\) 1.13829 + 10.0737i 0.0411549 + 0.364214i
\(766\) 12.4202 + 2.46035i 0.448760 + 0.0888961i
\(767\) −21.8451 67.2322i −0.788780 2.42762i
\(768\) 20.5501 + 10.3080i 0.741539 + 0.371959i
\(769\) 1.69482 + 5.21612i 0.0611168 + 0.188098i 0.976953 0.213453i \(-0.0684711\pi\)
−0.915836 + 0.401551i \(0.868471\pi\)
\(770\) 1.96593 + 0.481350i 0.0708474 + 0.0173467i
\(771\) 7.21877 3.67815i 0.259978 0.132465i
\(772\) 15.5116 + 25.2232i 0.558274 + 0.907804i
\(773\) −5.70458 +