Properties

Label 503.2.c.a.2.9
Level $503$
Weight $2$
Character 503.2
Analytic conductor $4.016$
Analytic rank $0$
Dimension $10250$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 503 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 503.c (of order \(251\), degree \(250\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.01647522167\)
Analytic rank: \(0\)
Dimension: \(10250\)
Relative dimension: \(41\) over \(\Q(\zeta_{251})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{251}]$

Embedding invariants

Embedding label 2.9
Character \(\chi\) \(=\) 503.2
Dual form 503.2.c.a.252.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.15193 - 1.41827i) q^{2} +(-2.28946 + 1.98155i) q^{3} +(-0.274449 + 1.30998i) q^{4} +(1.06426 + 3.36113i) q^{5} +(5.44767 + 0.964477i) q^{6} +(0.658051 - 1.91069i) q^{7} +(-1.07463 + 0.553494i) q^{8} +(0.884773 - 6.10441i) q^{9} +O(q^{10})\) \(q+(-1.15193 - 1.41827i) q^{2} +(-2.28946 + 1.98155i) q^{3} +(-0.274449 + 1.30998i) q^{4} +(1.06426 + 3.36113i) q^{5} +(5.44767 + 0.964477i) q^{6} +(0.658051 - 1.91069i) q^{7} +(-1.07463 + 0.553494i) q^{8} +(0.884773 - 6.10441i) q^{9} +(3.54105 - 5.38118i) q^{10} +(1.91382 - 0.619191i) q^{11} +(-1.96745 - 3.54299i) q^{12} +(5.67857 - 1.91606i) q^{13} +(-3.46790 + 1.26768i) q^{14} +(-9.09685 - 5.58631i) q^{15} +(4.47463 + 1.96100i) q^{16} +(-4.11455 - 2.05448i) q^{17} +(-9.67690 + 5.77698i) q^{18} +(3.21287 + 7.20813i) q^{19} +(-4.69510 + 0.471700i) q^{20} +(2.27954 + 5.67842i) q^{21} +(-3.08276 - 2.00105i) q^{22} +(-2.08675 + 7.21297i) q^{23} +(1.36355 - 3.39664i) q^{24} +(-6.07580 + 4.27640i) q^{25} +(-9.25877 - 5.84658i) q^{26} +(5.17259 + 8.07899i) q^{27} +(2.32236 + 1.38642i) q^{28} +(0.250374 - 2.09573i) q^{29} +(2.55600 + 19.3368i) q^{30} +(0.229046 + 2.80914i) q^{31} +(-1.73047 - 6.27458i) q^{32} +(-3.15467 + 5.20995i) q^{33} +(1.82585 + 8.20214i) q^{34} +(7.12242 + 0.178330i) q^{35} +(7.75384 + 2.83438i) q^{36} +(-2.93641 - 3.70928i) q^{37} +(6.52209 - 12.8599i) q^{38} +(-9.20410 + 15.6391i) q^{39} +(-3.00405 - 3.02291i) q^{40} +(0.452070 - 2.30092i) q^{41} +(5.42766 - 9.77412i) q^{42} +(-0.418503 + 2.28060i) q^{43} +(0.285882 + 2.67700i) q^{44} +(21.4594 - 3.52284i) q^{45} +(12.6337 - 5.34922i) q^{46} +(3.23635 - 0.121579i) q^{47} +(-14.1303 + 4.37708i) q^{48} +(2.29778 + 1.79574i) q^{49} +(13.0640 + 3.69104i) q^{50} +(13.4912 - 3.44955i) q^{51} +(0.951527 + 7.96467i) q^{52} +(-4.64240 + 10.4153i) q^{53} +(5.49975 - 16.6425i) q^{54} +(4.11799 + 5.77363i) q^{55} +(0.350393 + 2.41751i) q^{56} +(-21.6391 - 10.1363i) q^{57} +(-3.26073 + 2.05903i) q^{58} +(-5.45766 + 13.1179i) q^{59} +(9.81457 - 10.3835i) q^{60} +(-2.47580 - 4.08881i) q^{61} +(3.72027 - 3.56076i) q^{62} +(-11.0814 - 5.70754i) q^{63} +(-1.23193 + 1.72723i) q^{64} +(12.4836 + 17.0472i) q^{65} +(11.0231 - 1.52731i) q^{66} +(-0.980900 + 0.602364i) q^{67} +(3.82056 - 4.82613i) q^{68} +(-9.51533 - 20.6488i) q^{69} +(-7.95157 - 10.3069i) q^{70} +(1.59969 + 10.1411i) q^{71} +(2.42795 + 7.04970i) q^{72} +(-0.541068 - 0.517870i) q^{73} +(-1.87823 + 8.43743i) q^{74} +(5.43643 - 21.8302i) q^{75} +(-10.3243 + 2.23053i) q^{76} +(0.0763116 - 4.06417i) q^{77} +(32.7829 - 4.96122i) q^{78} +(0.00957602 + 0.169839i) q^{79} +(-1.82901 + 17.1268i) q^{80} +(-10.1083 - 2.99306i) q^{81} +(-3.78407 + 2.00933i) q^{82} +(-5.40925 - 10.3427i) q^{83} +(-8.06423 + 1.42772i) q^{84} +(2.52642 - 16.0160i) q^{85} +(3.71659 - 2.03353i) q^{86} +(3.57958 + 5.29424i) q^{87} +(-1.71393 + 1.72469i) q^{88} +(-2.48522 - 9.47229i) q^{89} +(-29.7159 - 26.3771i) q^{90} +(0.0757924 - 12.1108i) q^{91} +(-8.87614 - 4.71319i) q^{92} +(-6.09085 - 5.97755i) q^{93} +(-3.90046 - 4.44997i) q^{94} +(-20.8082 + 18.4702i) q^{95} +(16.3952 + 10.9364i) q^{96} +(1.07494 + 4.55908i) q^{97} +(-0.100031 - 5.32743i) q^{98} +(-2.08650 - 12.2306i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 10250q - 249q^{2} - 249q^{3} - 285q^{4} - 245q^{5} - 237q^{6} - 247q^{7} - 239q^{8} - 280q^{9} + O(q^{10}) \) \( 10250q - 249q^{2} - 249q^{3} - 285q^{4} - 245q^{5} - 237q^{6} - 247q^{7} - 239q^{8} - 280q^{9} - 233q^{10} - 239q^{11} - 239q^{12} - 245q^{13} - 223q^{14} - 231q^{15} - 263q^{16} - 243q^{17} - 217q^{18} - 229q^{19} - 195q^{20} - 215q^{21} - 233q^{22} - 241q^{23} - 181q^{24} - 280q^{25} - 215q^{26} - 237q^{27} - 185q^{28} - 217q^{29} - 159q^{30} - 219q^{31} - 185q^{32} - 209q^{33} - 167q^{34} - 187q^{35} - 203q^{36} - 237q^{37} - 161q^{38} - 197q^{39} - 135q^{40} - 209q^{41} - 117q^{42} - 221q^{43} - 147q^{44} - 167q^{45} - 167q^{46} - 195q^{47} - 141q^{48} - 234q^{49} - 145q^{50} - 177q^{51} - 179q^{52} - 211q^{53} - 83q^{54} - 165q^{55} - 125q^{56} - 177q^{57} - 205q^{58} - 189q^{59} - 27q^{60} - 193q^{61} - 143q^{62} - 159q^{63} - 185q^{64} - 155q^{65} - 97q^{66} - 201q^{67} - 155q^{68} - 113q^{69} - 123q^{70} - 153q^{71} - 21q^{72} - 213q^{73} - 83q^{74} - 161q^{75} - 97q^{76} - 139q^{77} - 43q^{78} - 191q^{79} + 3q^{80} - 188q^{81} - 97q^{82} - 161q^{83} + 67q^{84} - 159q^{85} - 121q^{86} - 121q^{87} - 143q^{88} - 155q^{89} + 115q^{90} - 137q^{91} - 119q^{92} - 123q^{93} - 99q^{94} - 181q^{95} + 67q^{96} - 229q^{97} - 63q^{98} - 85q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/503\mathbb{Z}\right)^\times\).

\(n\) \(5\)
\(\chi(n)\) \(e\left(\frac{101}{251}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.15193 1.41827i −0.814534 1.00287i −0.999796 0.0201790i \(-0.993576\pi\)
0.185262 0.982689i \(-0.440687\pi\)
\(3\) −2.28946 + 1.98155i −1.32182 + 1.14405i −0.343001 + 0.939335i \(0.611444\pi\)
−0.978822 + 0.204715i \(0.934373\pi\)
\(4\) −0.274449 + 1.30998i −0.137224 + 0.654990i
\(5\) 1.06426 + 3.36113i 0.475951 + 1.50314i 0.824504 + 0.565856i \(0.191454\pi\)
−0.348553 + 0.937289i \(0.613327\pi\)
\(6\) 5.44767 + 0.964477i 2.22400 + 0.393746i
\(7\) 0.658051 1.91069i 0.248720 0.722172i −0.749470 0.662038i \(-0.769692\pi\)
0.998190 0.0601342i \(-0.0191529\pi\)
\(8\) −1.07463 + 0.553494i −0.379939 + 0.195690i
\(9\) 0.884773 6.10441i 0.294924 2.03480i
\(10\) 3.54105 5.38118i 1.11978 1.70168i
\(11\) 1.91382 0.619191i 0.577039 0.186693i −0.00481244 0.999988i \(-0.501532\pi\)
0.581851 + 0.813295i \(0.302329\pi\)
\(12\) −1.96745 3.54299i −0.567955 1.02277i
\(13\) 5.67857 1.91606i 1.57495 0.531420i 0.609675 0.792652i \(-0.291300\pi\)
0.965276 + 0.261232i \(0.0841288\pi\)
\(14\) −3.46790 + 1.26768i −0.926834 + 0.338801i
\(15\) −9.09685 5.58631i −2.34880 1.44238i
\(16\) 4.47463 + 1.96100i 1.11866 + 0.490249i
\(17\) −4.11455 2.05448i −0.997925 0.498284i −0.128162 0.991753i \(-0.540908\pi\)
−0.869763 + 0.493470i \(0.835728\pi\)
\(18\) −9.67690 + 5.77698i −2.28087 + 1.36165i
\(19\) 3.21287 + 7.20813i 0.737083 + 1.65366i 0.756624 + 0.653850i \(0.226847\pi\)
−0.0195410 + 0.999809i \(0.506220\pi\)
\(20\) −4.69510 + 0.471700i −1.04986 + 0.105475i
\(21\) 2.27954 + 5.67842i 0.497437 + 1.23913i
\(22\) −3.08276 2.00105i −0.657246 0.426626i
\(23\) −2.08675 + 7.21297i −0.435118 + 1.50401i 0.380151 + 0.924924i \(0.375872\pi\)
−0.815269 + 0.579083i \(0.803411\pi\)
\(24\) 1.36355 3.39664i 0.278333 0.693336i
\(25\) −6.07580 + 4.27640i −1.21516 + 0.855280i
\(26\) −9.25877 5.84658i −1.81580 1.14661i
\(27\) 5.17259 + 8.07899i 0.995465 + 1.55480i
\(28\) 2.32236 + 1.38642i 0.438885 + 0.262009i
\(29\) 0.250374 2.09573i 0.0464933 0.389168i −0.950440 0.310909i \(-0.899367\pi\)
0.996933 0.0782592i \(-0.0249362\pi\)
\(30\) 2.55600 + 19.3368i 0.466659 + 3.53040i
\(31\) 0.229046 + 2.80914i 0.0411378 + 0.504536i 0.984808 + 0.173648i \(0.0555554\pi\)
−0.943670 + 0.330888i \(0.892652\pi\)
\(32\) −1.73047 6.27458i −0.305906 1.10920i
\(33\) −3.15467 + 5.20995i −0.549157 + 0.906936i
\(34\) 1.82585 + 8.20214i 0.313131 + 1.40666i
\(35\) 7.12242 + 0.178330i 1.20391 + 0.0301433i
\(36\) 7.75384 + 2.83438i 1.29231 + 0.472397i
\(37\) −2.93641 3.70928i −0.482743 0.609801i 0.480972 0.876736i \(-0.340284\pi\)
−0.963715 + 0.266935i \(0.913989\pi\)
\(38\) 6.52209 12.8599i 1.05802 2.08616i
\(39\) −9.20410 + 15.6391i −1.47384 + 2.50427i
\(40\) −3.00405 3.02291i −0.474982 0.477964i
\(41\) 0.452070 2.30092i 0.0706015 0.359343i −0.929350 0.369200i \(-0.879632\pi\)
0.999951 + 0.00985719i \(0.00313769\pi\)
\(42\) 5.42766 9.77412i 0.837506 1.50818i
\(43\) −0.418503 + 2.28060i −0.0638211 + 0.347788i −0.999993 0.00375442i \(-0.998805\pi\)
0.936172 + 0.351543i \(0.114343\pi\)
\(44\) 0.285882 + 2.67700i 0.0430983 + 0.403573i
\(45\) 21.4594 3.52284i 3.19898 0.525154i
\(46\) 12.6337 5.34922i 1.86274 0.788699i
\(47\) 3.23635 0.121579i 0.472070 0.0177340i 0.199557 0.979886i \(-0.436050\pi\)
0.272513 + 0.962152i \(0.412145\pi\)
\(48\) −14.1303 + 4.37708i −2.03954 + 0.631777i
\(49\) 2.29778 + 1.79574i 0.328254 + 0.256534i
\(50\) 13.0640 + 3.69104i 1.84752 + 0.521992i
\(51\) 13.4912 3.44955i 1.88914 0.483033i
\(52\) 0.951527 + 7.96467i 0.131953 + 1.10450i
\(53\) −4.64240 + 10.4153i −0.637682 + 1.43065i 0.249107 + 0.968476i \(0.419863\pi\)
−0.886789 + 0.462175i \(0.847069\pi\)
\(54\) 5.49975 16.6425i 0.748421 2.26476i
\(55\) 4.11799 + 5.77363i 0.555269 + 0.778516i
\(56\) 0.350393 + 2.41751i 0.0468233 + 0.323053i
\(57\) −21.6391 10.1363i −2.86616 1.34258i
\(58\) −3.26073 + 2.05903i −0.428155 + 0.270364i
\(59\) −5.45766 + 13.1179i −0.710527 + 1.70780i −0.00412566 + 0.999991i \(0.501313\pi\)
−0.706402 + 0.707811i \(0.749683\pi\)
\(60\) 9.81457 10.3835i 1.26706 1.34051i
\(61\) −2.47580 4.08881i −0.316994 0.523518i 0.655877 0.754868i \(-0.272299\pi\)
−0.972871 + 0.231350i \(0.925686\pi\)
\(62\) 3.72027 3.56076i 0.472475 0.452218i
\(63\) −11.0814 5.70754i −1.39613 0.719083i
\(64\) −1.23193 + 1.72723i −0.153992 + 0.215904i
\(65\) 12.4836 + 17.0472i 1.54840 + 2.11445i
\(66\) 11.0231 1.52731i 1.35684 0.187999i
\(67\) −0.980900 + 0.602364i −0.119836 + 0.0735904i −0.581922 0.813245i \(-0.697699\pi\)
0.462085 + 0.886835i \(0.347101\pi\)
\(68\) 3.82056 4.82613i 0.463310 0.585254i
\(69\) −9.51533 20.6488i −1.14551 2.48583i
\(70\) −7.95157 10.3069i −0.950394 1.23191i
\(71\) 1.59969 + 10.1411i 0.189849 + 1.20353i 0.878250 + 0.478202i \(0.158711\pi\)
−0.688401 + 0.725330i \(0.741687\pi\)
\(72\) 2.42795 + 7.04970i 0.286137 + 0.830815i
\(73\) −0.541068 0.517870i −0.0633272 0.0606120i 0.659122 0.752036i \(-0.270928\pi\)
−0.722449 + 0.691424i \(0.756984\pi\)
\(74\) −1.87823 + 8.43743i −0.218340 + 0.980831i
\(75\) 5.43643 21.8302i 0.627745 2.52073i
\(76\) −10.3243 + 2.23053i −1.18428 + 0.255860i
\(77\) 0.0763116 4.06417i 0.00869651 0.463155i
\(78\) 32.7829 4.96122i 3.71194 0.561747i
\(79\) 0.00957602 + 0.169839i 0.00107739 + 0.0191084i 0.998907 0.0467368i \(-0.0148822\pi\)
−0.997830 + 0.0658452i \(0.979026\pi\)
\(80\) −1.82901 + 17.1268i −0.204489 + 1.91484i
\(81\) −10.1083 2.99306i −1.12314 0.332563i
\(82\) −3.78407 + 2.00933i −0.417881 + 0.221893i
\(83\) −5.40925 10.3427i −0.593742 1.13526i −0.977323 0.211755i \(-0.932082\pi\)
0.383581 0.923507i \(-0.374691\pi\)
\(84\) −8.06423 + 1.42772i −0.879880 + 0.155777i
\(85\) 2.52642 16.0160i 0.274029 1.73718i
\(86\) 3.71659 2.03353i 0.400770 0.219281i
\(87\) 3.57958 + 5.29424i 0.383772 + 0.567602i
\(88\) −1.71393 + 1.72469i −0.182705 + 0.183852i
\(89\) −2.48522 9.47229i −0.263433 1.00406i −0.958495 0.285110i \(-0.907970\pi\)
0.695062 0.718950i \(-0.255377\pi\)
\(90\) −29.7159 26.3771i −3.13234 2.78039i
\(91\) 0.0757924 12.1108i 0.00794521 1.26956i
\(92\) −8.87614 4.71319i −0.925401 0.491384i
\(93\) −6.09085 5.97755i −0.631591 0.619844i
\(94\) −3.90046 4.44997i −0.402302 0.458979i
\(95\) −20.8082 + 18.4702i −2.13487 + 1.89500i
\(96\) 16.3952 + 10.9364i 1.67333 + 1.11619i
\(97\) 1.07494 + 4.55908i 0.109144 + 0.462904i 0.999963 + 0.00854712i \(0.00272067\pi\)
−0.890820 + 0.454357i \(0.849869\pi\)
\(98\) −0.100031 5.32743i −0.0101047 0.538151i
\(99\) −2.08650 12.2306i −0.209701 1.22922i
\(100\) −3.93450 9.13284i −0.393450 0.913284i
\(101\) 9.23981 3.64226i 0.919396 0.362418i 0.140868 0.990028i \(-0.455011\pi\)
0.778528 + 0.627610i \(0.215967\pi\)
\(102\) −20.4332 15.1605i −2.02319 1.50111i
\(103\) −11.4950 + 2.33326i −1.13263 + 0.229903i −0.728665 0.684870i \(-0.759859\pi\)
−0.403967 + 0.914774i \(0.632369\pi\)
\(104\) −5.04182 + 5.20211i −0.494392 + 0.510109i
\(105\) −16.6599 + 13.7052i −1.62584 + 1.33749i
\(106\) 20.1194 5.41347i 1.95417 0.525803i
\(107\) 2.72329 + 0.102305i 0.263271 + 0.00989018i 0.168848 0.985642i \(-0.445995\pi\)
0.0944224 + 0.995532i \(0.469900\pi\)
\(108\) −12.0029 + 4.55872i −1.15498 + 0.438663i
\(109\) 10.2517 + 10.8460i 0.981935 + 1.03886i 0.999239 + 0.0390086i \(0.0124200\pi\)
−0.0173040 + 0.999850i \(0.505508\pi\)
\(110\) 3.44495 12.4912i 0.328463 1.19099i
\(111\) 14.0729 + 2.67360i 1.33574 + 0.253767i
\(112\) 6.69139 7.25918i 0.632277 0.685929i
\(113\) 1.27504 + 2.59405i 0.119946 + 0.244028i 0.949089 0.315009i \(-0.102008\pi\)
−0.829143 + 0.559037i \(0.811171\pi\)
\(114\) 10.5506 + 42.3663i 0.988152 + 3.96796i
\(115\) −26.4646 + 0.662616i −2.46784 + 0.0617893i
\(116\) 2.67665 + 0.903157i 0.248521 + 0.0838560i
\(117\) −6.67219 36.3596i −0.616844 3.36145i
\(118\) 24.8915 7.37038i 2.29145 0.678498i
\(119\) −6.63305 + 6.50967i −0.608050 + 0.596740i
\(120\) 12.8677 + 0.968159i 1.17466 + 0.0883805i
\(121\) −5.63603 + 4.07330i −0.512367 + 0.370300i
\(122\) −2.94709 + 8.22135i −0.266817 + 0.744326i
\(123\) 3.52439 + 6.16367i 0.317784 + 0.555759i
\(124\) −3.74278 0.470919i −0.336111 0.0422898i
\(125\) −6.81546 5.19027i −0.609593 0.464232i
\(126\) 4.67012 + 22.2911i 0.416047 + 1.98585i
\(127\) 5.02637 2.83249i 0.446018 0.251343i −0.251574 0.967838i \(-0.580948\pi\)
0.697592 + 0.716495i \(0.254255\pi\)
\(128\) −9.12339 + 0.571702i −0.806401 + 0.0505318i
\(129\) −3.56098 6.05064i −0.313527 0.532729i
\(130\) 9.79739 37.3423i 0.859288 3.27513i
\(131\) 2.86262 1.90950i 0.250108 0.166834i −0.423560 0.905868i \(-0.639220\pi\)
0.673668 + 0.739034i \(0.264718\pi\)
\(132\) −5.95914 5.56241i −0.518677 0.484146i
\(133\) 15.8867 1.39547i 1.37755 0.121003i
\(134\) 1.98424 + 0.697303i 0.171412 + 0.0602378i
\(135\) −21.6496 + 25.9839i −1.86330 + 2.23634i
\(136\) 5.55876 0.0695787i 0.476659 0.00596633i
\(137\) 4.38422 + 11.3293i 0.374569 + 0.967932i 0.984486 + 0.175466i \(0.0561432\pi\)
−0.609917 + 0.792466i \(0.708797\pi\)
\(138\) −18.3247 + 37.2812i −1.55990 + 3.17359i
\(139\) 17.9327 + 3.87433i 1.52104 + 0.328616i 0.893175 0.449709i \(-0.148472\pi\)
0.627861 + 0.778326i \(0.283931\pi\)
\(140\) −2.18835 + 9.28128i −0.184949 + 0.784411i
\(141\) −7.16859 + 6.69135i −0.603704 + 0.563513i
\(142\) 12.5401 13.9506i 1.05235 1.17071i
\(143\) 9.68135 7.18311i 0.809595 0.600682i
\(144\) 15.9298 25.5800i 1.32748 2.13166i
\(145\) 7.31050 1.38886i 0.607104 0.115339i
\(146\) −0.111209 + 1.36393i −0.00920373 + 0.112879i
\(147\) −8.81903 + 0.441896i −0.727382 + 0.0364470i
\(148\) 5.66497 2.82863i 0.465658 0.232512i
\(149\) −2.55654 + 3.99302i −0.209440 + 0.327121i −0.930860 0.365377i \(-0.880940\pi\)
0.721420 + 0.692498i \(0.243490\pi\)
\(150\) −37.2235 + 17.4364i −3.03928 + 1.42368i
\(151\) −1.08441 1.64793i −0.0882479 0.134107i 0.788541 0.614982i \(-0.210837\pi\)
−0.876789 + 0.480875i \(0.840319\pi\)
\(152\) −7.44230 5.96776i −0.603651 0.484050i
\(153\) −16.1818 + 23.2992i −1.30822 + 1.88363i
\(154\) −5.85200 + 4.57339i −0.471567 + 0.368534i
\(155\) −9.19812 + 3.75951i −0.738811 + 0.301971i
\(156\) −17.9609 16.3493i −1.43802 1.30899i
\(157\) −6.04648 + 12.7006i −0.482562 + 1.01362i 0.505963 + 0.862555i \(0.331137\pi\)
−0.988525 + 0.151061i \(0.951731\pi\)
\(158\) 0.229846 0.209223i 0.0182856 0.0166449i
\(159\) −10.0099 33.0446i −0.793833 2.62061i
\(160\) 19.2480 12.4941i 1.52169 0.987746i
\(161\) 12.4085 + 8.73363i 0.977930 + 0.688307i
\(162\) 7.39902 + 17.7841i 0.581322 + 1.39725i
\(163\) −1.84441 0.700510i −0.144466 0.0548682i 0.281761 0.959485i \(-0.409082\pi\)
−0.426226 + 0.904617i \(0.640157\pi\)
\(164\) 2.89009 + 1.22369i 0.225678 + 0.0955539i
\(165\) −20.8687 5.05851i −1.62463 0.393804i
\(166\) −8.43773 + 19.5858i −0.654895 + 1.52015i
\(167\) 0.506906 16.1946i 0.0392256 1.25317i −0.759110 0.650962i \(-0.774366\pi\)
0.798336 0.602213i \(-0.205714\pi\)
\(168\) −5.59263 4.84048i −0.431481 0.373451i
\(169\) 18.2324 13.8848i 1.40249 1.06806i
\(170\) −25.6253 + 14.8661i −1.96537 + 1.14018i
\(171\) 46.8441 13.2351i 3.58226 1.01212i
\(172\) −2.87268 1.17414i −0.219040 0.0895272i
\(173\) 8.10785 + 17.0304i 0.616428 + 1.29480i 0.937579 + 0.347772i \(0.113062\pi\)
−0.321151 + 0.947028i \(0.604070\pi\)
\(174\) 3.38524 11.1754i 0.256635 0.847204i
\(175\) 4.17267 + 14.4231i 0.315424 + 1.09028i
\(176\) 9.77787 + 0.982348i 0.737035 + 0.0740473i
\(177\) −13.4986 40.8476i −1.01462 3.07029i
\(178\) −10.5715 + 14.4361i −0.792365 + 1.08203i
\(179\) −0.530752 + 0.984613i −0.0396702 + 0.0735935i −0.899322 0.437287i \(-0.855939\pi\)
0.859652 + 0.510880i \(0.170680\pi\)
\(180\) −1.27465 + 29.0782i −0.0950065 + 2.16736i
\(181\) −1.60046 23.2124i −0.118961 1.72536i −0.560528 0.828136i \(-0.689402\pi\)
0.441566 0.897229i \(-0.354423\pi\)
\(182\) −17.2637 + 13.8433i −1.27967 + 1.02613i
\(183\) 13.7704 + 4.45524i 1.01794 + 0.329341i
\(184\) −1.74985 8.90627i −0.129001 0.656579i
\(185\) 9.34227 13.8173i 0.686857 1.01587i
\(186\) −1.46158 + 15.5242i −0.107169 + 1.13829i
\(187\) −9.14662 1.38421i −0.668867 0.101223i
\(188\) −0.728946 + 4.27292i −0.0531639 + 0.311635i
\(189\) 18.8403 4.56681i 1.37043 0.332187i
\(190\) 50.1652 + 8.23529i 3.63937 + 0.597450i
\(191\) 0.561261 9.95443i 0.0406114 0.720277i −0.910893 0.412642i \(-0.864606\pi\)
0.951505 0.307635i \(-0.0995375\pi\)
\(192\) −0.602138 6.39559i −0.0434556 0.461562i
\(193\) −18.3630 10.0473i −1.32180 0.723222i −0.345249 0.938511i \(-0.612206\pi\)
−0.976550 + 0.215289i \(0.930931\pi\)
\(194\) 5.22775 6.77628i 0.375331 0.486508i
\(195\) −62.3608 14.2921i −4.46575 1.02348i
\(196\) −2.98300 + 2.51721i −0.213072 + 0.179801i
\(197\) 24.5739 1.84893i 1.75082 0.131731i 0.839481 0.543388i \(-0.182859\pi\)
0.911339 + 0.411658i \(0.135050\pi\)
\(198\) −14.9428 + 17.0480i −1.06194 + 1.21155i
\(199\) −0.0365797 5.84506i −0.00259307 0.414345i −0.979581 0.201050i \(-0.935565\pi\)
0.976988 0.213295i \(-0.0684195\pi\)
\(200\) 4.16228 7.95846i 0.294317 0.562748i
\(201\) 1.05212 3.32280i 0.0742109 0.234372i
\(202\) −15.8093 8.90894i −1.11234 0.626831i
\(203\) −3.83953 1.85749i −0.269482 0.130370i
\(204\) 0.816205 + 18.6199i 0.0571458 + 1.30365i
\(205\) 8.21481 0.929306i 0.573747 0.0649055i
\(206\) 16.5505 + 13.6152i 1.15313 + 0.948616i
\(207\) 42.1846 + 19.1202i 2.93203 + 1.32895i
\(208\) 29.1669 + 2.56199i 2.02236 + 0.177642i
\(209\) 10.6121 + 11.8057i 0.734052 + 0.816617i
\(210\) 38.6286 + 7.84089i 2.66562 + 0.541073i
\(211\) −18.8509 + 12.9183i −1.29775 + 0.889331i −0.997907 0.0646581i \(-0.979404\pi\)
−0.299843 + 0.953989i \(0.596934\pi\)
\(212\) −12.3697 8.93991i −0.849557 0.613996i
\(213\) −23.7577 20.0479i −1.62785 1.37366i
\(214\) −2.99194 3.98021i −0.204525 0.272082i
\(215\) −8.11080 + 1.02051i −0.553152 + 0.0695980i
\(216\) −10.0303 5.81892i −0.682475 0.395928i
\(217\) 5.51811 + 1.41092i 0.374594 + 0.0957796i
\(218\) 3.57337 27.0335i 0.242019 1.83094i
\(219\) 2.26494 + 0.113490i 0.153051 + 0.00766892i
\(220\) −8.69351 + 3.80991i −0.586117 + 0.256864i
\(221\) −27.3012 3.78275i −1.83648 0.254455i
\(222\) −12.4191 23.0390i −0.833514 1.54628i
\(223\) 9.80418 4.74306i 0.656536 0.317619i −0.0772373 0.997013i \(-0.524610\pi\)
0.733774 + 0.679394i \(0.237757\pi\)
\(224\) −13.1275 0.822612i −0.877117 0.0549631i
\(225\) 20.7292 + 40.8729i 1.38195 + 2.72486i
\(226\) 2.21031 4.79651i 0.147028 0.319059i
\(227\) 4.12211 0.944722i 0.273594 0.0627034i −0.0843846 0.996433i \(-0.526892\pi\)
0.357978 + 0.933730i \(0.383466\pi\)
\(228\) 19.2171 25.5648i 1.27269 1.69307i
\(229\) 10.8278 18.9362i 0.715518 1.25134i −0.244022 0.969770i \(-0.578467\pi\)
0.959540 0.281572i \(-0.0908558\pi\)
\(230\) 31.4250 + 36.7706i 2.07210 + 2.42458i
\(231\) 7.87866 + 9.45599i 0.518378 + 0.622159i
\(232\) 0.890917 + 2.39072i 0.0584916 + 0.156958i
\(233\) 10.5708 + 0.132314i 0.692513 + 0.00866816i 0.357998 0.933722i \(-0.383459\pi\)
0.334515 + 0.942390i \(0.391428\pi\)
\(234\) −43.8819 + 51.3465i −2.86865 + 3.35663i
\(235\) 3.85296 + 10.7484i 0.251339 + 0.701149i
\(236\) −15.6863 10.7496i −1.02109 0.699741i
\(237\) −0.358468 0.369864i −0.0232850 0.0240253i
\(238\) 16.8732 + 1.90880i 1.09373 + 0.123729i
\(239\) −0.786400 + 11.4056i −0.0508680 + 0.737766i 0.901493 + 0.432793i \(0.142472\pi\)
−0.952361 + 0.304973i \(0.901353\pi\)
\(240\) −29.7503 42.8356i −1.92037 2.76502i
\(241\) −3.75592 1.16345i −0.241940 0.0749446i 0.172542 0.985002i \(-0.444802\pi\)
−0.414482 + 0.910058i \(0.636037\pi\)
\(242\) 12.2693 + 3.30128i 0.788702 + 0.212214i
\(243\) 2.86125 1.29687i 0.183549 0.0831940i
\(244\) 6.03573 2.12108i 0.386398 0.135789i
\(245\) −3.59028 + 9.63428i −0.229374 + 0.615511i
\(246\) 4.68191 12.0986i 0.298508 0.771380i
\(247\) 32.0557 + 34.7758i 2.03966 + 2.21273i
\(248\) −1.80098 2.89201i −0.114362 0.183643i
\(249\) 32.8789 + 12.9606i 2.08362 + 0.821345i
\(250\) 0.489703 + 15.6450i 0.0309715 + 0.989474i
\(251\) −4.11125 + 5.06184i −0.259500 + 0.319500i −0.889360 0.457208i \(-0.848849\pi\)
0.629860 + 0.776709i \(0.283112\pi\)
\(252\) 10.5180 12.9500i 0.662574 0.815773i
\(253\) 0.472533 + 15.0964i 0.0297079 + 0.949104i
\(254\) −9.80724 3.86593i −0.615361 0.242570i
\(255\) 25.9525 + 41.6744i 1.62521 + 2.60975i
\(256\) 14.1961 + 15.4007i 0.887258 + 0.962546i
\(257\) −3.24187 + 8.37739i −0.202222 + 0.522567i −0.996367 0.0851613i \(-0.972859\pi\)
0.794145 + 0.607729i \(0.207919\pi\)
\(258\) −4.47945 + 12.0203i −0.278878 + 0.748352i
\(259\) −9.01958 + 3.16967i −0.560449 + 0.196954i
\(260\) −25.7576 + 11.6747i −1.59742 + 0.724033i
\(261\) −12.5717 3.38264i −0.778169 0.209380i
\(262\) −6.00571 1.86036i −0.371034 0.114933i
\(263\) −3.46151 4.98401i −0.213446 0.307327i 0.700114 0.714031i \(-0.253132\pi\)
−0.913560 + 0.406703i \(0.866678\pi\)
\(264\) 0.506418 7.34486i 0.0311679 0.452045i
\(265\) −39.9479 4.51913i −2.45398 0.277608i
\(266\) −20.2795 20.9242i −1.24341 1.28294i
\(267\) 24.4597 + 16.7619i 1.49691 + 1.02581i
\(268\) −0.519878 1.45028i −0.0317566 0.0885898i
\(269\) 14.7158 17.2191i 0.897239 1.04987i −0.101247 0.994861i \(-0.532283\pi\)
0.998486 0.0550050i \(-0.0175175\pi\)
\(270\) 61.7909 + 0.773434i 3.76047 + 0.0470697i
\(271\) −1.23173 3.30527i −0.0748224 0.200781i 0.894245 0.447578i \(-0.147713\pi\)
−0.969067 + 0.246797i \(0.920622\pi\)
\(272\) −14.3823 17.2616i −0.872053 1.04664i
\(273\) 23.8247 + 27.8775i 1.44194 + 1.68722i
\(274\) 11.0178 19.2686i 0.665608 1.16406i
\(275\) −8.98009 + 11.9463i −0.541520 + 0.720391i
\(276\) 29.6610 6.79784i 1.78538 0.409182i
\(277\) −2.84698 + 6.17813i −0.171059 + 0.371208i −0.974571 0.224081i \(-0.928062\pi\)
0.803512 + 0.595289i \(0.202962\pi\)
\(278\) −15.1623 29.8964i −0.909377 1.79307i
\(279\) 17.3508 + 1.08726i 1.03876 + 0.0650925i
\(280\) −7.75266 + 3.75058i −0.463310 + 0.224140i
\(281\) −6.05442 11.2317i −0.361176 0.670029i 0.633424 0.773805i \(-0.281649\pi\)
−0.994601 + 0.103775i \(0.966908\pi\)
\(282\) 17.7478 + 2.45906i 1.05687 + 0.146435i
\(283\) 8.21010 3.59806i 0.488040 0.213882i −0.142866 0.989742i \(-0.545632\pi\)
0.630906 + 0.775860i \(0.282684\pi\)
\(284\) −13.7237 0.687656i −0.814354 0.0408049i
\(285\) 11.0399 83.5194i 0.653944 4.94726i
\(286\) −21.3398 5.45635i −1.26185 0.322641i
\(287\) −4.09885 2.37789i −0.241947 0.140362i
\(288\) −39.8337 + 5.01190i −2.34722 + 0.295329i
\(289\) 2.49385 + 3.31760i 0.146697 + 0.195153i
\(290\) −10.3909 8.76840i −0.610177 0.514898i
\(291\) −11.4951 8.30779i −0.673855 0.487012i
\(292\) 0.826894 0.566659i 0.0483903 0.0331612i
\(293\) 5.29909 + 1.07562i 0.309576 + 0.0628383i 0.351216 0.936294i \(-0.385768\pi\)
−0.0416401 + 0.999133i \(0.513258\pi\)
\(294\) 10.7856 + 11.9987i 0.629029 + 0.699780i
\(295\) −49.8993 4.38311i −2.90525 0.255194i
\(296\) 5.20861 + 2.36081i 0.302745 + 0.137219i
\(297\) 14.9018 + 12.2589i 0.864693 + 0.711335i
\(298\) 8.60812 0.973799i 0.498655 0.0564107i
\(299\) 1.97072 + 44.9576i 0.113970 + 2.59997i
\(300\) 27.1051 + 13.1129i 1.56491 + 0.757073i
\(301\) 4.08212 + 2.30038i 0.235289 + 0.132592i
\(302\) −1.08805 + 3.43628i −0.0626104 + 0.197736i
\(303\) −13.9369 + 26.6480i −0.800654 + 1.53089i
\(304\) 0.241281 + 38.5542i 0.0138384 + 2.21123i
\(305\) 11.1081 12.6731i 0.636049 0.725657i
\(306\) 51.6847 3.88873i 2.95462 0.222304i
\(307\) −6.70777 + 5.66035i −0.382833 + 0.323053i −0.815776 0.578367i \(-0.803690\pi\)
0.432944 + 0.901421i \(0.357475\pi\)
\(308\) 5.30304 + 1.21537i 0.302169 + 0.0692523i
\(309\) 21.6938 28.1198i 1.23412 1.59968i
\(310\) 15.9275 + 8.71475i 0.904624 + 0.494965i
\(311\) 2.66035 + 28.2569i 0.150855 + 1.60230i 0.666505 + 0.745500i \(0.267789\pi\)
−0.515650 + 0.856799i \(0.672450\pi\)
\(312\) 1.23483 21.9007i 0.0699083 1.23988i
\(313\) −2.25945 0.370919i −0.127712 0.0209656i 0.0977996 0.995206i \(-0.468820\pi\)
−0.225511 + 0.974241i \(0.572405\pi\)
\(314\) 24.9779 6.05457i 1.40959 0.341679i
\(315\) 7.39032 43.3204i 0.416397 2.44083i
\(316\) −0.225114 0.0340676i −0.0126636 0.00191645i
\(317\) 1.74149 18.4972i 0.0978119 1.03891i −0.800437 0.599417i \(-0.795399\pi\)
0.898248 0.439488i \(-0.144840\pi\)
\(318\) −35.3356 + 52.2616i −1.98152 + 2.93068i
\(319\) −0.818488 4.16589i −0.0458265 0.233245i
\(320\) −7.11657 2.30247i −0.397828 0.128712i
\(321\) −6.43761 + 5.16213i −0.359312 + 0.288122i
\(322\) −1.90706 27.6591i −0.106276 1.54138i
\(323\) 1.58942 36.2590i 0.0884375 2.01750i
\(324\) 6.69506 12.4202i 0.371948 0.690012i
\(325\) −26.3080 + 35.9254i −1.45931 + 1.99278i
\(326\) 1.13112 + 3.42281i 0.0626467 + 0.189572i
\(327\) −44.9628 4.51726i −2.48645 0.249805i
\(328\) 0.787736 + 2.72285i 0.0434955 + 0.150344i
\(329\) 1.89738 6.26366i 0.104606 0.345327i
\(330\) 16.8649 + 35.4245i 0.928382 + 1.95006i
\(331\) −10.8978 4.45421i −0.598998 0.244826i 0.0584932 0.998288i \(-0.481370\pi\)
−0.657491 + 0.753462i \(0.728382\pi\)
\(332\) 15.0333 4.24746i 0.825061 0.233109i
\(333\) −25.2410 + 14.6432i −1.38320 + 0.802442i
\(334\) −23.5522 + 17.9360i −1.28872 + 0.981416i
\(335\) −3.06856 2.65587i −0.167653 0.145105i
\(336\) −0.935242 + 29.8790i −0.0510216 + 1.63003i
\(337\) 2.72474 6.32471i 0.148426 0.344529i −0.827886 0.560896i \(-0.810457\pi\)
0.976312 + 0.216367i \(0.0694209\pi\)
\(338\) −40.6947 9.86426i −2.21350 0.536545i
\(339\) −8.05942 3.41243i −0.437728 0.185338i
\(340\) 20.2873 + 7.70514i 1.10024 + 0.417870i
\(341\) 2.17774 + 5.23436i 0.117931 + 0.283457i
\(342\) −72.7319 51.1917i −3.93289 2.76813i
\(343\) 16.8084 10.9105i 0.907570 0.589114i
\(344\) −0.812563 2.68244i −0.0438105 0.144627i
\(345\) 59.2767 53.9580i 3.19135 2.90500i
\(346\) 14.8141 31.1169i 0.796412 1.67286i
\(347\) −21.2713 19.3627i −1.14191 1.03945i −0.998762 0.0497439i \(-0.984159\pi\)
−0.143143 0.989702i \(-0.545721\pi\)
\(348\) −7.91776 + 3.23619i −0.424436 + 0.173478i
\(349\) 9.38697 7.33601i 0.502473 0.392688i −0.332393 0.943141i \(-0.607856\pi\)
0.834866 + 0.550453i \(0.185545\pi\)
\(350\) 15.6492 22.5323i 0.836484 1.20440i
\(351\) 44.8527 + 35.9661i 2.39406 + 1.91973i
\(352\) −7.19696 10.9369i −0.383599 0.582940i
\(353\) −3.41709 + 1.60065i −0.181873 + 0.0851942i −0.512986 0.858397i \(-0.671461\pi\)
0.331112 + 0.943591i \(0.392576\pi\)
\(354\) −42.3834 + 66.1981i −2.25265 + 3.51839i
\(355\) −32.3833 + 16.1696i −1.71872 + 0.858193i
\(356\) 13.0906 0.655931i 0.693799 0.0347642i
\(357\) 2.28687 28.0474i 0.121034 1.48443i
\(358\) 2.00783 0.381452i 0.106117 0.0201604i
\(359\) 11.8436 19.0185i 0.625083 1.00376i −0.372059 0.928209i \(-0.621348\pi\)
0.997142 0.0755466i \(-0.0240702\pi\)
\(360\) −21.1110 + 15.6634i −1.11265 + 0.825533i
\(361\) −28.9329 + 32.1873i −1.52279 + 1.69407i
\(362\) −31.0778 + 29.0088i −1.63341 + 1.52467i
\(363\) 4.83204 20.4938i 0.253616 1.07564i
\(364\) 15.8441 + 3.42309i 0.830459 + 0.179419i
\(365\) 1.16479 2.36975i 0.0609680 0.124038i
\(366\) −9.54379 24.6623i −0.498862 1.28912i
\(367\) 14.7907 0.185135i 0.772069 0.00966396i 0.374489 0.927231i \(-0.377818\pi\)
0.397580 + 0.917567i \(0.369850\pi\)
\(368\) −23.4821 + 28.1832i −1.22409 + 1.46915i
\(369\) −13.6458 4.79541i −0.710371 0.249639i
\(370\) −30.3583 + 2.66664i −1.57825 + 0.138632i
\(371\) 16.8454 + 15.7240i 0.874572 + 0.816348i
\(372\) 9.50210 6.33836i 0.492661 0.328628i
\(373\) −4.44960 + 16.9594i −0.230392 + 0.878126i 0.746674 + 0.665190i \(0.231649\pi\)
−0.977066 + 0.212937i \(0.931697\pi\)
\(374\) 8.57305 + 14.5669i 0.443302 + 0.753235i
\(375\) 25.8885 1.62226i 1.33688 0.0837733i
\(376\) −3.41058 + 1.92195i −0.175887 + 0.0991171i
\(377\) −2.59379 12.3805i −0.133587 0.637628i
\(378\) −28.1795 21.4599i −1.44940 1.10378i
\(379\) 8.90049 + 1.11987i 0.457188 + 0.0575237i 0.350072 0.936723i \(-0.386157\pi\)
0.107116 + 0.994247i \(0.465838\pi\)
\(380\) −18.4848 32.3274i −0.948252 1.65836i
\(381\) −5.89497 + 16.4449i −0.302008 + 0.842498i
\(382\) −14.7646 + 10.6707i −0.755422 + 0.545962i
\(383\) −18.0168 1.35557i −0.920617 0.0692666i −0.393753 0.919216i \(-0.628823\pi\)
−0.526864 + 0.849950i \(0.676632\pi\)
\(384\) 19.7548 19.3874i 1.00811 0.989357i
\(385\) 13.7414 4.06884i 0.700329 0.207367i
\(386\) 6.90302 + 37.6175i 0.351354 + 1.91468i
\(387\) 13.5514 + 4.57253i 0.688859 + 0.232435i
\(388\) −6.26732 + 0.156920i −0.318175 + 0.00796641i
\(389\) 2.92631 + 11.7507i 0.148370 + 0.595785i 0.997691 + 0.0679093i \(0.0216328\pi\)
−0.849322 + 0.527876i \(0.822989\pi\)
\(390\) 51.5649 + 104.908i 2.61109 + 5.31221i
\(391\) 23.4049 25.3909i 1.18364 1.28407i
\(392\) −3.46319 0.657944i −0.174918 0.0332312i
\(393\) −2.77008 + 10.0442i −0.139732 + 0.506662i
\(394\) −30.9296 32.7226i −1.55821 1.64854i
\(395\) −0.560659 + 0.212939i −0.0282098 + 0.0107141i
\(396\) 16.5945 + 0.623398i 0.833904 + 0.0313269i
\(397\) 13.0973 3.52407i 0.657337 0.176868i 0.0843547 0.996436i \(-0.473117\pi\)
0.572982 + 0.819568i \(0.305786\pi\)
\(398\) −8.24773 + 6.78495i −0.413421 + 0.340099i
\(399\) −33.6069 + 34.6753i −1.68245 + 1.73594i
\(400\) −35.5730 + 7.22066i −1.77865 + 0.361033i
\(401\) 26.9188 + 19.9725i 1.34426 + 0.997378i 0.998249 + 0.0591465i \(0.0188379\pi\)
0.346009 + 0.938231i \(0.387537\pi\)
\(402\) −5.92459 + 2.33542i −0.295491 + 0.116480i
\(403\) 6.68313 + 15.5130i 0.332910 + 0.772758i
\(404\) 2.23543 + 13.1036i 0.111217 + 0.651928i
\(405\) −0.697754 37.1607i −0.0346717 1.84653i
\(406\) 1.78844 + 7.58518i 0.0887587 + 0.376446i
\(407\) −7.91651 5.28069i −0.392407 0.261754i
\(408\) −12.5887 + 11.1743i −0.623234 + 0.553209i
\(409\) 1.74897 + 1.99536i 0.0864808 + 0.0986643i 0.793632 0.608398i \(-0.208187\pi\)
−0.707151 + 0.707062i \(0.750020\pi\)
\(410\) −10.7809 10.5803i −0.532428 0.522525i
\(411\) −32.4872 17.2506i −1.60248 0.850909i
\(412\) 0.0982450 15.6985i 0.00484019 0.773411i
\(413\) 21.4728 + 19.0601i 1.05661 + 0.937888i
\(414\) −21.4759 81.8543i −1.05548 4.02292i
\(415\) 29.0065 29.1886i 1.42387 1.43281i
\(416\) −21.8490 32.3149i −1.07124 1.58437i
\(417\) −48.7336 + 26.6646i −2.38649 + 1.30577i
\(418\) 4.51934 28.6500i 0.221048 1.40132i
\(419\) 11.2787 1.99682i 0.551000 0.0975513i 0.108129 0.994137i \(-0.465514\pi\)
0.442871 + 0.896586i \(0.353960\pi\)
\(420\) −13.3812 25.5855i −0.652936 1.24844i
\(421\) −24.0592 + 12.7754i −1.17258 + 0.622633i −0.937036 0.349232i \(-0.886442\pi\)
−0.235539 + 0.971865i \(0.575686\pi\)
\(422\) 40.0364 + 11.8548i 1.94894 + 0.577082i
\(423\) 2.12127 19.8636i 0.103140 0.965800i
\(424\) −0.775950 13.7621i −0.0376835 0.668348i
\(425\) 33.7850 5.11286i 1.63881 0.248010i
\(426\) −1.06630 + 56.7885i −0.0516623 + 2.75141i
\(427\) −9.44163 + 2.03984i −0.456913 + 0.0987149i
\(428\) −0.881422 + 3.53938i −0.0426051 + 0.171083i
\(429\) −7.93139 + 35.6296i −0.382931 + 1.72021i
\(430\) 10.7904 + 10.3278i 0.520359 + 0.498048i
\(431\) −0.820278 2.38172i −0.0395114 0.114724i 0.923999 0.382396i \(-0.124901\pi\)
−0.963510 + 0.267672i \(0.913746\pi\)
\(432\) 7.30254 + 46.2939i 0.351344 + 2.22732i
\(433\) 2.29264 + 2.97176i 0.110177 + 0.142813i 0.843625 0.536932i \(-0.180417\pi\)
−0.733448 + 0.679746i \(0.762090\pi\)
\(434\) −4.35538 9.45144i −0.209065 0.453684i
\(435\) −13.9850 + 17.6659i −0.670531 + 0.847015i
\(436\) −17.0216 + 10.4529i −0.815188 + 0.500601i
\(437\) −58.6965 + 8.13275i −2.80783 + 0.389042i
\(438\) −2.44808 3.34303i −0.116974 0.159736i
\(439\) −9.50185 + 13.3221i −0.453498 + 0.635828i −0.976247 0.216658i \(-0.930484\pi\)
0.522749 + 0.852487i \(0.324907\pi\)
\(440\) −7.62098 3.92523i −0.363316 0.187128i
\(441\) 12.9949 12.4378i 0.618806 0.592275i
\(442\) 26.0840 + 43.0780i 1.24069 + 2.04901i
\(443\) −8.95279 + 9.47180i −0.425360 + 0.450019i −0.903706 0.428153i \(-0.859165\pi\)
0.478346 + 0.878171i \(0.341236\pi\)
\(444\) −7.36467 + 17.7015i −0.349512 + 0.840076i
\(445\) 29.1927 18.4341i 1.38387 0.873861i
\(446\) −18.0206 8.44132i −0.853301 0.399708i
\(447\) −2.05928 14.2078i −0.0974004 0.672005i
\(448\) 2.48953 + 3.49045i 0.117619 + 0.164908i
\(449\) 3.60571 10.9111i 0.170164 0.514925i −0.828843 0.559482i \(-0.811000\pi\)
0.999007 + 0.0445565i \(0.0141875\pi\)
\(450\) 34.0903 76.4821i 1.60703 3.60540i
\(451\) −0.559526 4.68346i −0.0263470 0.220536i
\(452\) −3.74809 + 0.958347i −0.176295 + 0.0450769i
\(453\) 5.74818 + 1.62407i 0.270073 + 0.0763053i
\(454\) −6.08823 4.75801i −0.285735 0.223304i
\(455\) 40.7868 12.6343i 1.91211 0.592306i
\(456\) 28.8643 1.08433i 1.35170 0.0507786i
\(457\) 15.8004 6.69002i 0.739112 0.312946i 0.0124322 0.999923i \(-0.496043\pi\)
0.726680 + 0.686977i \(0.241063\pi\)
\(458\) −39.3294 + 6.45645i −1.83774 + 0.301690i
\(459\) −4.68478 43.8684i −0.218667 2.04760i
\(460\) 6.39516 34.8499i 0.298176 1.62489i
\(461\) 12.6629 22.8034i 0.589771 1.06206i −0.399606 0.916687i \(-0.630853\pi\)
0.989377 0.145372i \(-0.0464379\pi\)
\(462\) 4.33552 22.0667i 0.201707 1.02663i
\(463\) 11.4418 + 11.5136i 0.531744 + 0.535082i 0.922797 0.385286i \(-0.125897\pi\)
−0.391053 + 0.920368i \(0.627889\pi\)
\(464\) 5.23006 8.88665i 0.242799 0.412552i
\(465\) 13.6091 26.8338i 0.631108 1.24439i
\(466\) −11.9891 15.1446i −0.555382 0.701560i
\(467\) −6.40841 2.34257i −0.296546 0.108401i 0.190749 0.981639i \(-0.438908\pi\)
−0.487294 + 0.873238i \(0.662016\pi\)
\(468\) 49.4615 + 1.23841i 2.28636 + 0.0572455i
\(469\) 0.505446 + 2.27058i 0.0233393 + 0.104846i
\(470\) 10.8058 17.8459i 0.498435 0.823170i
\(471\) −11.3236 41.0589i −0.521766 1.89190i
\(472\) −1.39570 17.1176i −0.0642425 0.787903i
\(473\) 0.611187 + 4.62379i 0.0281024 + 0.212602i
\(474\) −0.111639 + 0.934461i −0.00512773 + 0.0429212i
\(475\) −50.3456 30.0557i −2.31002 1.37905i
\(476\) −6.70711 10.4757i −0.307420 0.480154i
\(477\) 59.4718 + 37.5543i 2.72303 + 1.71949i
\(478\) 17.0821 12.0231i 0.781316 0.549922i
\(479\) 8.04163 20.0320i 0.367432 0.915284i −0.623611 0.781735i \(-0.714335\pi\)
0.991042 0.133548i \(-0.0426372\pi\)
\(480\) −19.3099 + 66.7458i −0.881374 + 3.04651i
\(481\) −23.7818 15.4370i −1.08436 0.703868i
\(482\) 2.67645 + 6.66712i 0.121909 + 0.303679i
\(483\) −45.7151 + 4.59283i −2.08011 + 0.208981i
\(484\) −3.78914 8.50100i −0.172234 0.386409i
\(485\) −14.1797 + 8.46507i −0.643865 + 0.384379i
\(486\) −5.13525 2.56413i −0.232940 0.116311i
\(487\) 28.4913 + 12.4863i 1.29106 + 0.565806i 0.930283 0.366844i \(-0.119562\pi\)
0.360782 + 0.932650i \(0.382510\pi\)
\(488\) 4.92370 + 3.02361i 0.222885 + 0.136872i
\(489\) 5.61082 2.05101i 0.253730 0.0927500i
\(490\) 17.7997 6.00598i 0.804110 0.271323i
\(491\) −6.06524 10.9223i −0.273720 0.492915i 0.701930 0.712246i \(-0.252322\pi\)
−0.975651 + 0.219331i \(0.929613\pi\)
\(492\) −9.04155 + 2.92527i −0.407624 + 0.131881i
\(493\) −5.33581 + 8.10861i −0.240313 + 0.365194i
\(494\) 12.3957 85.5228i 0.557707 3.84785i
\(495\) 38.8881 20.0295i 1.74789 0.900261i
\(496\) −4.48382 + 13.0190i −0.201329 + 0.584571i
\(497\) 20.4292 + 3.61688i 0.916377 + 0.162239i
\(498\) −19.4925 61.5609i −0.873478 2.75861i
\(499\) −1.36485 + 6.51461i −0.0610991 + 0.291634i −0.998377 0.0569487i \(-0.981863\pi\)
0.937278 + 0.348583i \(0.113337\pi\)
\(500\) 8.66964 7.50365i 0.387718 0.335574i
\(501\) 30.9299 + 38.0814i 1.38185 + 1.70135i
\(502\) 11.9149 0.531788
\(503\) 15.5163 16.1940i 0.691836 0.722055i
\(504\) 15.0675 0.671159
\(505\) 22.0757 + 27.1799i 0.982355 + 1.20949i
\(506\) 20.8665 18.0601i 0.927628 0.802870i
\(507\) −14.2291 + 67.9172i −0.631934 + 3.01631i
\(508\) 2.33102 + 7.36182i 0.103423 + 0.326628i
\(509\) −40.0634 7.09299i −1.77578 0.314391i −0.812514 0.582941i \(-0.801902\pi\)
−0.963266 + 0.268550i \(0.913456\pi\)
\(510\) 29.2102 84.8135i 1.29345 3.75560i
\(511\) −1.34554 + 0.693027i −0.0595231 + 0.0306577i
\(512\) 2.86704 19.7809i 0.126707 0.874202i
\(513\) −41.6156 + 63.2415i −1.83737 + 2.79218i
\(514\) 15.6158 5.05228i 0.688783 0.222847i
\(515\) −20.0760 36.1529i −0.884656 1.59309i
\(516\) 8.90352 3.00423i 0.391956 0.132254i
\(517\) 6.11851 2.23660i 0.269092 0.0983654i
\(518\) 14.8853 + 9.14097i 0.654024 + 0.401631i
\(519\) −52.3093 22.9245i −2.29613 1.00627i
\(520\) −22.8508 11.4099i −1.00207 0.500355i
\(521\) −7.95015 + 4.74613i −0.348302 + 0.207932i −0.676089 0.736820i \(-0.736327\pi\)
0.327787 + 0.944752i \(0.393697\pi\)
\(522\) 9.68417 + 21.7266i 0.423865 + 0.950948i
\(523\) 6.21609 0.624508i 0.271811 0.0273078i 0.0368790 0.999320i \(-0.488258\pi\)
0.234932 + 0.972012i \(0.424513\pi\)
\(524\) 1.71577 + 4.27404i 0.0749537 + 0.186712i
\(525\) −38.1332 24.7527i −1.66427 1.08030i
\(526\) −3.08127 + 10.6506i −0.134350 + 0.464387i
\(527\) 4.82889 12.0289i 0.210350 0.523987i
\(528\) −24.3327 + 17.1263i −1.05894 + 0.745327i
\(529\) −28.2251 17.8231i −1.22718 0.774918i
\(530\) 39.6077 + 61.8626i 1.72045 + 2.68714i
\(531\) 75.2482 + 44.9222i 3.26549 + 1.94946i
\(532\) −2.53205 + 21.1943i −0.109778 + 0.918889i
\(533\) −1.84159 13.9321i −0.0797680 0.603466i
\(534\) −4.40284 53.9988i −0.190530 2.33676i
\(535\) 2.55443 + 9.26224i 0.110438 + 0.400441i
\(536\) 0.720699 1.19024i 0.0311295 0.0514105i
\(537\) −0.735927 3.30595i −0.0317576 0.142662i
\(538\) −41.3728 1.03589i −1.78371 0.0446602i
\(539\) 5.50944 + 2.01395i 0.237308 + 0.0867471i
\(540\) −28.0967 35.4918i −1.20909 1.52732i
\(541\) 14.2922 28.1807i 0.614471 1.21158i −0.347307 0.937752i \(-0.612904\pi\)
0.961777 0.273833i \(-0.0882915\pi\)
\(542\) −3.26890 + 5.55435i −0.140411 + 0.238580i
\(543\) 49.6608 + 49.9726i 2.13115 + 2.14453i
\(544\) −5.77088 + 29.3722i −0.247424 + 1.25932i
\(545\) −25.5444 + 46.0003i −1.09420 + 1.97044i
\(546\) 12.0935 65.9027i 0.517555 2.82038i
\(547\) 0.217503 + 2.03670i 0.00929974 + 0.0870829i 0.998042 0.0625447i \(-0.0199216\pi\)
−0.988742 + 0.149628i \(0.952193\pi\)
\(548\) −16.0445 + 2.63391i −0.685386 + 0.112515i
\(549\) −27.1503 + 11.4957i −1.15875 + 0.490623i
\(550\) 27.2875 1.02510i 1.16354 0.0437104i
\(551\) 15.9107 4.92859i 0.677821 0.209965i
\(552\) 21.6545 + 16.9232i 0.921675 + 0.720298i
\(553\) 0.330810 + 0.0934658i 0.0140675 + 0.00397457i
\(554\) 12.0418 3.07895i 0.511606 0.130812i
\(555\) 5.99092 + 50.1464i 0.254300 + 2.12860i
\(556\) −9.99691 + 22.4282i −0.423963 + 0.951169i
\(557\) 7.87595 23.8330i 0.333715 1.00984i −0.637259 0.770650i \(-0.719932\pi\)
0.970973 0.239187i \(-0.0768810\pi\)
\(558\) −18.4448 25.8605i −0.780830 1.09476i
\(559\) 1.99327 + 13.7524i 0.0843065 + 0.581665i
\(560\) 31.5205 + 14.7650i 1.33198 + 0.623935i
\(561\) 23.6837 14.9554i 0.999929 0.631418i
\(562\) −8.95540 + 21.5249i −0.377761 + 0.907974i
\(563\) 19.7515 20.8965i 0.832427 0.880684i −0.161926 0.986803i \(-0.551771\pi\)
0.994353 + 0.106119i \(0.0338424\pi\)
\(564\) −6.79812 11.2271i −0.286252 0.472748i
\(565\) −7.36198 + 7.04634i −0.309721 + 0.296442i
\(566\) −14.5604 7.49944i −0.612021 0.315225i
\(567\) −12.3706 + 17.3442i −0.519515 + 0.728387i
\(568\) −7.33214 10.0125i −0.307650 0.420117i
\(569\) −4.74323 + 0.657203i −0.198847 + 0.0275514i −0.235975 0.971759i \(-0.575828\pi\)
0.0371284 + 0.999311i \(0.488179\pi\)
\(570\) −131.170 + 80.5506i −5.49411 + 3.37389i
\(571\) −11.7030 + 14.7833i −0.489756 + 0.618660i −0.965335 0.261013i \(-0.915944\pi\)
0.475580 + 0.879673i \(0.342238\pi\)
\(572\) 6.75270 + 14.6538i 0.282345 + 0.612705i
\(573\) 18.4402 + 23.9025i 0.770352 + 0.998540i
\(574\) 1.34908 + 8.55242i 0.0563097 + 0.356971i
\(575\) −18.1668 52.7484i −0.757609 2.19976i
\(576\) 9.45378 + 9.04845i 0.393907 + 0.377019i
\(577\) −3.66808 + 16.4779i −0.152704 + 0.685982i 0.837509 + 0.546423i \(0.184011\pi\)
−0.990214 + 0.139559i \(0.955431\pi\)
\(578\) 1.83252 7.35857i 0.0762230 0.306076i
\(579\) 61.9508 13.3843i 2.57459 0.556233i
\(580\) −0.186974 + 9.95779i −0.00776367 + 0.413475i
\(581\) −23.3213 + 3.52934i −0.967530 + 0.146422i
\(582\) 1.45880 + 25.8731i 0.0604694 + 1.07247i
\(583\) −2.43566 + 22.8075i −0.100875 + 0.944592i
\(584\) 0.868085 + 0.257040i 0.0359216 + 0.0106364i
\(585\) 115.109 61.1222i 4.75915 2.52709i
\(586\) −4.57864 8.75457i −0.189142 0.361648i
\(587\) 27.0789 4.79416i 1.11767 0.197876i 0.415296 0.909687i \(-0.363678\pi\)
0.702372 + 0.711810i \(0.252124\pi\)
\(588\) 1.84150 11.6740i 0.0759421 0.481429i
\(589\) −19.5127 + 10.6764i −0.804008 + 0.439913i
\(590\) 51.2639 + 75.8197i 2.11050 + 3.12145i
\(591\) −52.5974 + 52.9276i −2.16357 + 2.17715i
\(592\) −5.86547 22.3559i −0.241069 0.918823i
\(593\) −9.18749 8.15521i −0.377285 0.334894i 0.453735 0.891137i \(-0.350091\pi\)
−0.831020 + 0.556242i \(0.812243\pi\)
\(594\) 0.220642 35.2562i 0.00905303 1.44658i
\(595\) −28.9392 15.3666i −1.18639 0.629968i
\(596\) −4.52914 4.44489i −0.185521 0.182070i
\(597\) 11.6660 + 13.3096i 0.477459 + 0.544724i
\(598\) 61.4919 54.5829i 2.51459 2.23206i
\(599\) −32.8087 21.8850i −1.34053 0.894196i −0.341570 0.939856i \(-0.610959\pi\)
−0.998957 + 0.0456604i \(0.985461\pi\)
\(600\) 6.24074 + 26.4684i 0.254777 + 1.08057i
\(601\) −0.320157 17.0508i −0.0130595 0.695517i −0.943926 0.330157i \(-0.892898\pi\)
0.930866 0.365360i \(-0.119054\pi\)
\(602\) −1.43974 8.43941i −0.0586793 0.343965i
\(603\) 2.80920 + 6.52078i 0.114400 + 0.265547i
\(604\) 2.45637 0.968281i 0.0999483 0.0393988i
\(605\) −19.6891 14.6084i −0.800476 0.593916i
\(606\) 53.8483 10.9302i 2.18744 0.444010i
\(607\) −30.0132 + 30.9673i −1.21820 + 1.25692i −0.261712 + 0.965146i \(0.584287\pi\)
−0.956486 + 0.291779i \(0.905753\pi\)
\(608\) 39.6682 32.6328i 1.60876 1.32344i
\(609\) 12.4712 3.35559i 0.505358 0.135975i
\(610\) −30.7695 1.15591i −1.24582 0.0468013i
\(611\) 18.1449 6.89143i 0.734063 0.278798i
\(612\) −26.0804 27.5923i −1.05424 1.11535i
\(613\) −6.57196 + 23.8296i −0.265439 + 0.962467i 0.702583 + 0.711602i \(0.252030\pi\)
−0.968022 + 0.250865i \(0.919285\pi\)
\(614\) 15.7548 + 2.99312i 0.635810 + 0.120792i
\(615\) −16.9660 + 18.4057i −0.684137 + 0.742189i
\(616\) 2.16749 + 4.40972i 0.0873306 + 0.177673i
\(617\) −0.482733 1.93843i −0.0194341 0.0780383i 0.959861 0.280476i \(-0.0904922\pi\)
−0.979295 + 0.202437i \(0.935114\pi\)
\(618\) −64.8711 + 1.62423i −2.60950 + 0.0653362i
\(619\) 20.2336 + 6.82723i 0.813258 + 0.274409i 0.695402 0.718621i \(-0.255226\pi\)
0.117856 + 0.993031i \(0.462398\pi\)
\(620\) −2.40046 13.0811i −0.0964050 0.525352i
\(621\) −69.0674 + 20.4509i −2.77158 + 0.820665i
\(622\) 37.0113 36.3229i 1.48402 1.45642i
\(623\) −19.7340 1.48477i −0.790625 0.0594861i
\(624\) −71.8532 + 51.9301i −2.87643 + 2.07887i
\(625\) −2.34400 + 6.53894i −0.0937599 + 0.261558i
\(626\) 2.07666 + 3.63178i 0.0829998 + 0.145155i
\(627\) −47.6896 6.00034i −1.90454 0.239630i
\(628\) −14.9780 11.4064i −0.597689 0.455166i
\(629\) 4.46139 + 21.2948i 0.177887 + 0.849079i
\(630\) −69.9531 + 39.4204i −2.78700 + 1.57055i
\(631\) 20.2058 1.26616i 0.804379 0.0504051i 0.344952 0.938620i \(-0.387895\pi\)
0.459427 + 0.888215i \(0.348055\pi\)
\(632\) −0.104295 0.177213i −0.00414865 0.00704917i
\(633\) 17.5603 66.9300i 0.697957 2.66023i
\(634\) −28.2401 + 18.8375i −1.12156 + 0.748131i
\(635\) 14.8697 + 13.8798i 0.590088 + 0.550803i
\(636\) 46.0350 4.04367i 1.82541 0.160342i
\(637\) 16.4888 + 5.79452i 0.653311 + 0.229587i
\(638\) −4.96551 + 5.95963i −0.196587 + 0.235944i
\(639\) 63.3211 0.792588i 2.50494 0.0313543i
\(640\) −11.6312 30.0565i −0.459764 1.18809i
\(641\) 15.9570 32.4643i 0.630265 1.28226i −0.312852 0.949802i \(-0.601284\pi\)
0.943117 0.332461i \(-0.107879\pi\)
\(642\) 14.7369 + 3.18388i 0.581620 + 0.125658i
\(643\) 0.947304 4.01773i 0.0373580 0.158444i −0.951403 0.307949i \(-0.900358\pi\)
0.988761 + 0.149505i \(0.0477679\pi\)
\(644\) −14.8464 + 13.8580i −0.585030 + 0.546082i
\(645\) 16.5472 18.4084i 0.651545 0.724830i
\(646\) −53.2559 + 39.5134i −2.09533 + 1.55463i
\(647\) 20.0056 32.1249i 0.786502 1.26296i −0.174016 0.984743i \(-0.555675\pi\)
0.960518 0.278218i \(-0.0897438\pi\)
\(648\) 12.5193 2.37844i 0.491805 0.0934340i
\(649\) −2.32252 + 28.4846i −0.0911669 + 1.11812i
\(650\) 81.2568 4.07154i 3.18715 0.159699i
\(651\) −15.4293 + 7.70417i −0.604723 + 0.301950i
\(652\) 1.42385 2.22389i 0.0557623 0.0870944i
\(653\) 29.7886 13.9537i 1.16572 0.546052i 0.258210 0.966089i \(-0.416867\pi\)
0.907507 + 0.420037i \(0.137983\pi\)
\(654\) 45.3871 + 68.9730i 1.77478 + 2.69706i
\(655\) 9.46467 + 7.58944i 0.369815 + 0.296544i
\(656\) 6.53494 9.40925i 0.255147 0.367369i
\(657\) −3.64001 + 2.84470i −0.142010 + 0.110982i
\(658\) −11.0692 + 4.52426i −0.431522 + 0.176374i
\(659\) −26.2172 23.8648i −1.02128 0.929641i −0.0237358 0.999718i \(-0.507556\pi\)
−0.997542 + 0.0700768i \(0.977676\pi\)
\(660\) 12.3539 25.9493i 0.480877 1.01008i
\(661\) 12.1479 11.0579i 0.472498 0.430102i −0.401627 0.915803i \(-0.631555\pi\)
0.874125 + 0.485701i \(0.161436\pi\)
\(662\) 6.23619 + 20.5870i 0.242377 + 0.800135i
\(663\) 70.0009 45.4384i 2.71861 1.76468i
\(664\) 11.5376 + 8.12061i 0.447745 + 0.315141i
\(665\) 21.5980 + 51.9123i 0.837534 + 2.01307i
\(666\) 49.8438 + 18.9307i 1.93141 + 0.733550i
\(667\) 14.5940 + 6.17922i 0.565081 + 0.239260i
\(668\) 21.0755 + 5.10862i 0.815434 + 0.197658i
\(669\) −13.0477 + 30.2866i −0.504453 + 1.17095i
\(670\) −0.231984 + 7.41140i −0.00896233 + 0.286327i
\(671\) −7.26999 6.29225i −0.280655 0.242909i
\(672\) 31.6850 24.1295i 1.22227 0.930815i
\(673\) 32.5732 18.8968i 1.25560 0.728419i 0.282606 0.959236i \(-0.408801\pi\)
0.972997 + 0.230817i \(0.0741399\pi\)
\(674\) −12.1088 + 3.42118i −0.466415 + 0.131779i
\(675\) −65.9766 26.9663i −2.53944 1.03793i
\(676\) 13.1849 + 27.6947i 0.507112 + 1.06518i
\(677\) −11.3102 + 37.3374i −0.434687 + 1.43499i 0.416022 + 0.909355i \(0.363424\pi\)
−0.850709 + 0.525637i \(0.823827\pi\)
\(678\) 4.44411 + 15.3613i 0.170675 + 0.589947i
\(679\) 9.41834 + 0.946227i 0.361443 + 0.0363129i
\(680\) 6.14982 + 18.6097i 0.235835 + 0.713648i
\(681\) −7.56540 + 10.3311i −0.289907 + 0.395888i
\(682\) 4.91514 9.11822i 0.188210 0.349155i
\(683\) 1.99991 45.6235i 0.0765244 1.74573i −0.447727 0.894170i \(-0.647766\pi\)
0.524251 0.851564i \(-0.324345\pi\)
\(684\) 4.48147 + 64.9972i 0.171353 + 2.48523i
\(685\) −33.4135 + 26.7933i −1.27666 + 1.02372i
\(686\) −34.8362 11.2708i −1.33005 0.430320i
\(687\) 12.7334 + 64.8096i 0.485809 + 2.47264i
\(688\) −6.34490 + 9.38416i −0.241897 + 0.357768i
\(689\) −6.40581 + 68.0391i −0.244042 + 2.59208i
\(690\) −144.809 21.9148i −5.51280 0.834282i
\(691\) 7.15293 41.9289i 0.272110 1.59505i −0.443319 0.896364i \(-0.646199\pi\)
0.715429 0.698685i \(-0.246231\pi\)
\(692\) −24.5347 + 5.94713i −0.932670 + 0.226076i
\(693\) −24.7419 4.06171i −0.939866 0.154292i
\(694\) −2.95858 + 52.4729i −0.112306 + 1.99184i
\(695\) 6.06298 + 64.3977i 0.229982 + 2.44274i
\(696\) −6.77706 3.70806i −0.256884 0.140554i
\(697\) −6.58724 + 8.53847i −0.249510 + 0.323418i
\(698\) −21.2175 4.86273i −0.803096 0.184057i
\(699\) −24.4635 + 20.6436i −0.925296 + 0.780812i
\(700\) −20.0391 + 1.50773i −0.757407 + 0.0569868i
\(701\) −27.2811 + 31.1245i −1.03039 + 1.17555i −0.0461121 + 0.998936i \(0.514683\pi\)
−0.984279 + 0.176618i \(0.943484\pi\)
\(702\) −0.657387 105.044i −0.0248115 3.96461i
\(703\) 17.3026 33.0835i 0.652582 1.24777i
\(704\) −1.28821 + 4.06842i −0.0485513 + 0.153334i
\(705\) −30.1198 16.9733i −1.13438 0.639250i
\(706\) 6.20639 + 3.00252i 0.233581 + 0.113001i
\(707\) −0.878946 20.0512i −0.0330562 0.754103i
\(708\) 57.2142 6.47239i 2.15024 0.243247i
\(709\) −30.8525 25.3807i −1.15869 0.953191i −0.159271 0.987235i \(-0.550914\pi\)
−0.999420 + 0.0340442i \(0.989161\pi\)
\(710\) 60.2359 + 27.3020i 2.26061 + 1.02463i
\(711\) 1.04524 + 0.0918127i 0.0391995 + 0.00344325i
\(712\) 7.91354 + 8.80364i 0.296573 + 0.329930i
\(713\) −20.7402 4.20987i −0.776726 0.157661i
\(714\) −42.4131 + 29.0651i −1.58727 + 1.08773i
\(715\) 34.4469 + 24.8956i 1.28824 + 0.931043i
\(716\) −1.14416 0.965500i −0.0427593 0.0360824i
\(717\) −20.8003 27.6710i −0.776803 1.03339i
\(718\) −40.6163 + 5.11037i −1.51579 + 0.190717i
\(719\) −3.46841 2.01215i −0.129350 0.0750404i 0.435726 0.900079i \(-0.356492\pi\)
−0.565076 + 0.825039i \(0.691153\pi\)
\(720\) 102.931 + 26.3184i 3.83602 + 0.980828i
\(721\) −3.10613 + 23.4987i −0.115678 + 0.875136i
\(722\) 78.9788 + 3.95740i 2.93929 + 0.147279i
\(723\) 10.9045 4.77887i 0.405543 0.177728i
\(724\) 30.8470 + 4.27404i 1.14642 + 0.158843i
\(725\) 7.44097 + 13.8040i 0.276351 + 0.512666i
\(726\) −34.6318 + 16.7542i −1.28531 + 0.621805i
\(727\) 1.73572 + 0.108766i 0.0643744 + 0.00403392i 0.0946954 0.995506i \(-0.469812\pi\)
−0.0303209 + 0.999540i \(0.509653\pi\)
\(728\) 6.62183 + 13.0566i 0.245421 + 0.483910i
\(729\) 9.25524 20.0844i 0.342786 0.743867i
\(730\) −4.70270 + 1.07778i −0.174055 + 0.0398906i
\(731\) 6.40739 8.52384i 0.236986 0.315266i
\(732\) −9.61556 + 16.8163i −0.355401 + 0.621547i
\(733\) 2.05314 + 2.40240i 0.0758346 + 0.0887347i 0.796824 0.604211i \(-0.206512\pi\)
−0.720990 + 0.692946i \(0.756312\pi\)
\(734\) −17.3004 20.7640i −0.638568 0.766412i
\(735\) −10.8710 29.1717i −0.400983 1.07601i
\(736\) 48.8693 + 0.611696i 1.80135 + 0.0225474i
\(737\) −1.50429 + 1.76018i −0.0554112 + 0.0648371i
\(738\) 8.91772 + 24.8773i 0.328266 + 0.915748i
\(739\) 4.34889 + 2.98023i 0.159976 + 0.109630i 0.642613 0.766191i \(-0.277851\pi\)
−0.482636 + 0.875821i \(0.660321\pi\)
\(740\) 15.5364 + 16.0303i 0.571130 + 0.589287i
\(741\) −142.301 16.0978i −5.22754 0.591369i
\(742\) 2.89613 42.0042i 0.106320 1.54202i
\(743\) −10.6586 15.3466i −0.391026 0.563014i 0.576078 0.817395i \(-0.304582\pi\)
−0.967104 + 0.254381i \(0.918128\pi\)
\(744\) 9.85394 + 3.05241i 0.361263 + 0.111907i
\(745\) −16.1419 4.34326i −0.591393 0.159125i
\(746\) 29.1787 13.2253i 1.06831 0.484211i
\(747\) −67.9223 + 23.8693i −2.48515 + 0.873333i
\(748\) 4.32356 11.6020i 0.158085 0.424211i
\(749\) 1.98754 5.13604i 0.0726231 0.187667i
\(750\) −32.1225 34.8482i −1.17295 1.27248i
\(751\) −18.1619 29.1643i −0.662738 1.06422i −0.992745 0.120243i \(-0.961633\pi\)
0.330007 0.943979i \(-0.392949\pi\)
\(752\) 14.7199 + 5.80245i 0.536779 + 0.211594i
\(753\) −0.617742 19.7356i −0.0225118 0.719204i
\(754\) −14.5710 + 17.9401i −0.530646 + 0.653340i
\(755\) 4.38482 5.39867i 0.159580 0.196478i
\(756\) 0.811751 + 25.9337i 0.0295231 + 0.943200i
\(757\) 23.2394 + 9.16078i 0.844650 + 0.332954i 0.749089 0.662469i \(-0.230492\pi\)
0.0955613 + 0.995424i \(0.469535\pi\)
\(758\) −8.66443 13.9133i −0.314706 0.505354i
\(759\) −30.9962 33.6264i −1.12509 1.22056i
\(760\) 12.1379 31.3658i 0.440288 1.13776i
\(761\) −1.85758 + 4.98470i −0.0673373 + 0.180695i −0.966352 0.257223i \(-0.917192\pi\)
0.899015 + 0.437918i \(0.144284\pi\)
\(762\) 30.1139 10.5826i 1.09091 0.383369i
\(763\) 27.4695 12.4506i 0.994462 0.450741i
\(764\) 12.8861 + 3.46722i 0.466201 + 0.125440i
\(765\) −95.5333 29.5929i −3.45401 1.06993i
\(766\) 18.8315 + 27.1142i 0.680408 + 0.979677i
\(767\) −5.85705 + 84.9480i −0.211486 + 3.06729i
\(768\) −63.0189 7.12905i −2.27400 0.257248i
\(769\) −27.8175 28.7018i −1.00312 1.03501i −0.999387 0.0350219i \(-0.988850\pi\)
−0.00373825 0.999993i \(-0.501190\pi\)
\(770\) −21.5998 14.8021i −0.778404 0.533430i
\(771\) −9.17809 25.6037i −0.330541 0.922094i
\(772\) 18.2015 21.2977i 0.655086 0.766522i
\(773\) 1.19313 + 0.0149343i 0.0429138 + 0.000537151i