Properties

Label 576.2.bm.a.517.82
Level $576$
Weight $2$
Character 576.517
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 517.82
Character \(\chi\) \(=\) 576.517
Dual form 576.2.bm.a.205.82

$q$-expansion

\(f(q)\) \(=\) \(q+(1.28606 - 0.588269i) q^{2} +(-0.509742 + 1.65534i) q^{3} +(1.30788 - 1.51309i) q^{4} +(0.263824 - 0.300834i) q^{5} +(0.318230 + 2.42873i) q^{6} +(2.25877 - 0.297372i) q^{7} +(0.791901 - 2.71531i) q^{8} +(-2.48033 - 1.68760i) q^{9} +O(q^{10})\) \(q+(1.28606 - 0.588269i) q^{2} +(-0.509742 + 1.65534i) q^{3} +(1.30788 - 1.51309i) q^{4} +(0.263824 - 0.300834i) q^{5} +(0.318230 + 2.42873i) q^{6} +(2.25877 - 0.297372i) q^{7} +(0.791901 - 2.71531i) q^{8} +(-2.48033 - 1.68760i) q^{9} +(0.162322 - 0.542089i) q^{10} +(2.51402 - 5.09793i) q^{11} +(1.83801 + 2.93628i) q^{12} +(-0.728628 + 2.14647i) q^{13} +(2.72997 - 1.71120i) q^{14} +(0.363501 + 0.590068i) q^{15} +(-0.578901 - 3.95789i) q^{16} +(0.935965 - 0.935965i) q^{17} +(-4.18260 - 0.711247i) q^{18} +(0.719896 + 3.61916i) q^{19} +(-0.110139 - 0.792646i) q^{20} +(-0.659136 + 3.89062i) q^{21} +(0.234219 - 8.03515i) q^{22} +(-0.735980 + 5.59033i) q^{23} +(4.09110 + 2.69498i) q^{24} +(0.631733 + 4.79849i) q^{25} +(0.325644 + 3.18911i) q^{26} +(4.05788 - 3.24555i) q^{27} +(2.50424 - 3.80665i) q^{28} +(8.78625 + 0.575881i) q^{29} +(0.814602 + 0.545024i) q^{30} +(-3.85389 - 2.22504i) q^{31} +(-3.07280 - 4.74952i) q^{32} +(7.15733 + 6.76020i) q^{33} +(0.653104 - 1.75430i) q^{34} +(0.506459 - 0.757969i) q^{35} +(-5.79746 + 1.54579i) q^{36} +(0.930003 - 4.67544i) q^{37} +(3.05487 + 4.23095i) q^{38} +(-3.18173 - 2.30027i) q^{39} +(-0.607934 - 0.954596i) q^{40} +(-0.843054 + 6.40363i) q^{41} +(1.44104 + 5.39131i) q^{42} +(-10.5314 - 5.19350i) q^{43} +(-4.42561 - 10.4714i) q^{44} +(-1.16206 + 0.300937i) q^{45} +(2.34210 + 7.62243i) q^{46} +(-6.67216 - 1.78780i) q^{47} +(6.84675 + 1.05922i) q^{48} +(-1.74788 + 0.468343i) q^{49} +(3.63525 + 5.79950i) q^{50} +(1.07224 + 2.02644i) q^{51} +(2.29485 + 3.90980i) q^{52} +(0.873034 + 1.30659i) q^{53} +(3.30941 - 6.56108i) q^{54} +(-0.870372 - 2.10126i) q^{55} +(0.981264 - 6.36874i) q^{56} +(-6.35792 - 0.653164i) q^{57} +(11.6384 - 4.42806i) q^{58} +(2.57688 - 2.93836i) q^{59} +(1.36824 + 0.221727i) q^{60} +(-0.219049 + 3.34204i) q^{61} +(-6.26524 - 0.594409i) q^{62} +(-6.10432 - 3.07431i) q^{63} +(-6.74578 - 4.30051i) q^{64} +(0.453501 + 0.785487i) q^{65} +(13.1815 + 4.48357i) q^{66} +(-5.54287 + 2.73344i) q^{67} +(-0.192072 - 2.64033i) q^{68} +(-8.87875 - 4.06793i) q^{69} +(0.205445 - 1.27272i) q^{70} +(1.44186 - 3.48097i) q^{71} +(-6.54652 + 5.39843i) q^{72} +(5.52850 + 13.3470i) q^{73} +(-1.55438 - 6.55997i) q^{74} +(-8.26517 - 1.40026i) q^{75} +(6.41766 + 3.64416i) q^{76} +(4.16261 - 12.2627i) q^{77} +(-5.44506 - 1.08657i) q^{78} +(3.11193 - 11.6139i) q^{79} +(-1.34340 - 0.870035i) q^{80} +(3.30403 + 8.37158i) q^{81} +(2.68284 + 8.73137i) q^{82} +(-5.97833 + 5.24286i) q^{83} +(5.02480 + 6.08580i) q^{84} +(-0.0346398 - 0.528501i) q^{85} +(-16.5991 - 0.483852i) q^{86} +(-5.43200 + 14.2507i) q^{87} +(-11.8516 - 10.8634i) q^{88} +(-2.28737 - 0.947461i) q^{89} +(-1.31744 + 1.07062i) q^{90} +(-1.00750 + 5.06505i) q^{91} +(7.49611 + 8.42508i) q^{92} +(5.64770 - 5.24531i) q^{93} +(-9.63247 + 1.62581i) q^{94} +(1.27869 + 0.738254i) q^{95} +(9.42842 - 2.66551i) q^{96} +(-8.69119 + 5.01786i) q^{97} +(-1.97236 + 1.63054i) q^{98} +(-14.8389 + 8.40188i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(1\) \(e\left(\frac{1}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.28606 0.588269i 0.909379 0.415969i
\(3\) −0.509742 + 1.65534i −0.294300 + 0.955713i
\(4\) 1.30788 1.51309i 0.653940 0.756546i
\(5\) 0.263824 0.300834i 0.117986 0.134537i −0.689831 0.723970i \(-0.742315\pi\)
0.807817 + 0.589433i \(0.200649\pi\)
\(6\) 0.318230 + 2.42873i 0.129917 + 0.991525i
\(7\) 2.25877 0.297372i 0.853734 0.112396i 0.309058 0.951043i \(-0.399986\pi\)
0.544676 + 0.838647i \(0.316653\pi\)
\(8\) 0.791901 2.71531i 0.279979 0.960006i
\(9\) −2.48033 1.68760i −0.826775 0.562533i
\(10\) 0.162322 0.542089i 0.0513306 0.171424i
\(11\) 2.51402 5.09793i 0.758006 1.53708i −0.0832989 0.996525i \(-0.526546\pi\)
0.841305 0.540560i \(-0.181788\pi\)
\(12\) 1.83801 + 2.93628i 0.530587 + 0.847630i
\(13\) −0.728628 + 2.14647i −0.202085 + 0.595323i −0.999972 0.00748389i \(-0.997618\pi\)
0.797887 + 0.602807i \(0.205951\pi\)
\(14\) 2.72997 1.71120i 0.729614 0.457337i
\(15\) 0.363501 + 0.590068i 0.0938557 + 0.152355i
\(16\) −0.578901 3.95789i −0.144725 0.989472i
\(17\) 0.935965 0.935965i 0.227005 0.227005i −0.584435 0.811440i \(-0.698684\pi\)
0.811440 + 0.584435i \(0.198684\pi\)
\(18\) −4.18260 0.711247i −0.985848 0.167643i
\(19\) 0.719896 + 3.61916i 0.165155 + 0.830292i 0.971168 + 0.238395i \(0.0766211\pi\)
−0.806013 + 0.591898i \(0.798379\pi\)
\(20\) −0.110139 0.792646i −0.0246279 0.177241i
\(21\) −0.659136 + 3.89062i −0.143835 + 0.849003i
\(22\) 0.234219 8.03515i 0.0499356 1.71310i
\(23\) −0.735980 + 5.59033i −0.153463 + 1.16566i 0.725310 + 0.688422i \(0.241696\pi\)
−0.878772 + 0.477241i \(0.841637\pi\)
\(24\) 4.09110 + 2.69498i 0.835092 + 0.550110i
\(25\) 0.631733 + 4.79849i 0.126347 + 0.959698i
\(26\) 0.325644 + 3.18911i 0.0638640 + 0.625435i
\(27\) 4.05788 3.24555i 0.780940 0.624607i
\(28\) 2.50424 3.80665i 0.473258 0.719390i
\(29\) 8.78625 + 0.575881i 1.63156 + 0.106938i 0.853447 0.521180i \(-0.174508\pi\)
0.778118 + 0.628118i \(0.216175\pi\)
\(30\) 0.814602 + 0.545024i 0.148725 + 0.0995073i
\(31\) −3.85389 2.22504i −0.692179 0.399630i 0.112249 0.993680i \(-0.464195\pi\)
−0.804428 + 0.594050i \(0.797528\pi\)
\(32\) −3.07280 4.74952i −0.543199 0.839604i
\(33\) 7.15733 + 6.76020i 1.24593 + 1.17680i
\(34\) 0.653104 1.75430i 0.112006 0.300860i
\(35\) 0.506459 0.757969i 0.0856071 0.128120i
\(36\) −5.79746 + 1.54579i −0.966243 + 0.257631i
\(37\) 0.930003 4.67544i 0.152892 0.768638i −0.825906 0.563808i \(-0.809336\pi\)
0.978798 0.204830i \(-0.0656641\pi\)
\(38\) 3.05487 + 4.23095i 0.495565 + 0.686351i
\(39\) −3.18173 2.30027i −0.509485 0.368339i
\(40\) −0.607934 0.954596i −0.0961228 0.150935i
\(41\) −0.843054 + 6.40363i −0.131663 + 1.00008i 0.790278 + 0.612748i \(0.209936\pi\)
−0.921941 + 0.387330i \(0.873397\pi\)
\(42\) 1.44104 + 5.39131i 0.222358 + 0.831896i
\(43\) −10.5314 5.19350i −1.60602 0.792001i −0.606024 0.795446i \(-0.707237\pi\)
−0.999994 + 0.00344539i \(0.998903\pi\)
\(44\) −4.42561 10.4714i −0.667186 1.57863i
\(45\) −1.16206 + 0.300937i −0.173229 + 0.0448611i
\(46\) 2.34210 + 7.62243i 0.345324 + 1.12387i
\(47\) −6.67216 1.78780i −0.973234 0.260777i −0.263041 0.964785i \(-0.584726\pi\)
−0.710193 + 0.704007i \(0.751392\pi\)
\(48\) 6.84675 + 1.05922i 0.988244 + 0.152886i
\(49\) −1.74788 + 0.468343i −0.249697 + 0.0669061i
\(50\) 3.63525 + 5.79950i 0.514101 + 0.820173i
\(51\) 1.07224 + 2.02644i 0.150144 + 0.283759i
\(52\) 2.29485 + 3.90980i 0.318238 + 0.542192i
\(53\) 0.873034 + 1.30659i 0.119920 + 0.179474i 0.886573 0.462588i \(-0.153079\pi\)
−0.766653 + 0.642062i \(0.778079\pi\)
\(54\) 3.30941 6.56108i 0.450353 0.892851i
\(55\) −0.870372 2.10126i −0.117361 0.283334i
\(56\) 0.981264 6.36874i 0.131127 0.851058i
\(57\) −6.35792 0.653164i −0.842127 0.0865137i
\(58\) 11.6384 4.42806i 1.52819 0.581433i
\(59\) 2.57688 2.93836i 0.335481 0.382542i −0.559362 0.828923i \(-0.688954\pi\)
0.894843 + 0.446381i \(0.147287\pi\)
\(60\) 1.36824 + 0.221727i 0.176640 + 0.0286248i
\(61\) −0.219049 + 3.34204i −0.0280464 + 0.427905i 0.960629 + 0.277834i \(0.0896167\pi\)
−0.988675 + 0.150070i \(0.952050\pi\)
\(62\) −6.26524 0.594409i −0.795687 0.0754900i
\(63\) −6.10432 3.07431i −0.769073 0.387327i
\(64\) −6.74578 4.30051i −0.843223 0.537564i
\(65\) 0.453501 + 0.785487i 0.0562499 + 0.0974277i
\(66\) 13.1815 + 4.48357i 1.62254 + 0.551889i
\(67\) −5.54287 + 2.73344i −0.677169 + 0.333943i −0.748145 0.663535i \(-0.769055\pi\)
0.0709760 + 0.997478i \(0.477389\pi\)
\(68\) −0.192072 2.64033i −0.0232922 0.320187i
\(69\) −8.87875 4.06793i −1.06888 0.489721i
\(70\) 0.205445 1.27272i 0.0245553 0.152120i
\(71\) 1.44186 3.48097i 0.171118 0.413115i −0.814934 0.579554i \(-0.803227\pi\)
0.986052 + 0.166439i \(0.0532269\pi\)
\(72\) −6.54652 + 5.39843i −0.771515 + 0.636212i
\(73\) 5.52850 + 13.3470i 0.647063 + 1.56215i 0.816966 + 0.576686i \(0.195655\pi\)
−0.169903 + 0.985461i \(0.554345\pi\)
\(74\) −1.55438 6.55997i −0.180693 0.762581i
\(75\) −8.26517 1.40026i −0.954380 0.161688i
\(76\) 6.41766 + 3.64416i 0.736157 + 0.418014i
\(77\) 4.16261 12.2627i 0.474373 1.39746i
\(78\) −5.44506 1.08657i −0.616532 0.123030i
\(79\) 3.11193 11.6139i 0.350119 1.30666i −0.536397 0.843966i \(-0.680215\pi\)
0.886517 0.462697i \(-0.153118\pi\)
\(80\) −1.34340 0.870035i −0.150196 0.0972728i
\(81\) 3.30403 + 8.37158i 0.367114 + 0.930176i
\(82\) 2.68284 + 8.73137i 0.296270 + 0.964218i
\(83\) −5.97833 + 5.24286i −0.656207 + 0.575478i −0.921351 0.388731i \(-0.872914\pi\)
0.265144 + 0.964209i \(0.414580\pi\)
\(84\) 5.02480 + 6.08580i 0.548251 + 0.664015i
\(85\) −0.0346398 0.528501i −0.00375721 0.0573239i
\(86\) −16.5991 0.483852i −1.78993 0.0521751i
\(87\) −5.43200 + 14.2507i −0.582372 + 1.52784i
\(88\) −11.8516 10.8634i −1.26338 1.15804i
\(89\) −2.28737 0.947461i −0.242461 0.100431i 0.258144 0.966106i \(-0.416889\pi\)
−0.500605 + 0.865676i \(0.666889\pi\)
\(90\) −1.31744 + 1.07062i −0.138870 + 0.112854i
\(91\) −1.00750 + 5.06505i −0.105615 + 0.530961i
\(92\) 7.49611 + 8.42508i 0.781523 + 0.878375i
\(93\) 5.64770 5.24531i 0.585640 0.543914i
\(94\) −9.63247 + 1.62581i −0.993514 + 0.167690i
\(95\) 1.27869 + 0.738254i 0.131191 + 0.0757433i
\(96\) 9.42842 2.66551i 0.962284 0.272048i
\(97\) −8.69119 + 5.01786i −0.882457 + 0.509487i −0.871468 0.490453i \(-0.836831\pi\)
−0.0109892 + 0.999940i \(0.503498\pi\)
\(98\) −1.97236 + 1.63054i −0.199238 + 0.164709i
\(99\) −14.8389 + 8.40188i −1.49136 + 0.844420i
\(100\) 8.08679 + 5.31998i 0.808679 + 0.531998i
\(101\) 6.44462 2.18765i 0.641264 0.217680i 0.0181800 0.999835i \(-0.494213\pi\)
0.623084 + 0.782155i \(0.285879\pi\)
\(102\) 2.57106 + 1.97535i 0.254573 + 0.195589i
\(103\) −15.0345 + 11.5363i −1.48139 + 1.13671i −0.522604 + 0.852576i \(0.675039\pi\)
−0.958785 + 0.284134i \(0.908294\pi\)
\(104\) 5.25132 + 3.67824i 0.514934 + 0.360681i
\(105\) 0.996535 + 1.22473i 0.0972519 + 0.119522i
\(106\) 1.89139 + 1.16677i 0.183708 + 0.113326i
\(107\) 6.91572 4.62094i 0.668568 0.446723i −0.174408 0.984673i \(-0.555801\pi\)
0.842977 + 0.537950i \(0.180801\pi\)
\(108\) 0.396400 10.3847i 0.0381436 0.999272i
\(109\) −0.171640 0.862893i −0.0164401 0.0826502i 0.971694 0.236242i \(-0.0759159\pi\)
−0.988134 + 0.153592i \(0.950916\pi\)
\(110\) −2.35545 2.19033i −0.224584 0.208840i
\(111\) 7.26540 + 3.92274i 0.689601 + 0.372330i
\(112\) −2.48457 8.76780i −0.234770 0.828479i
\(113\) −14.4542 + 3.87299i −1.35974 + 0.364340i −0.863720 0.503973i \(-0.831871\pi\)
−0.496017 + 0.868313i \(0.665205\pi\)
\(114\) −8.56087 + 2.90016i −0.801799 + 0.271625i
\(115\) 1.48759 + 1.69627i 0.138719 + 0.158178i
\(116\) 12.3627 12.5412i 1.14785 1.16442i
\(117\) 5.42961 4.09431i 0.501967 0.378519i
\(118\) 1.58546 5.29480i 0.145953 0.487426i
\(119\) 1.83580 2.39246i 0.168287 0.219316i
\(120\) 1.89007 0.519742i 0.172539 0.0474458i
\(121\) −12.9722 16.9058i −1.17929 1.53689i
\(122\) 1.68431 + 4.42691i 0.152490 + 0.400794i
\(123\) −10.1705 4.65974i −0.917040 0.420155i
\(124\) −8.40712 + 2.92120i −0.754982 + 0.262332i
\(125\) 3.27370 + 2.18742i 0.292809 + 0.195648i
\(126\) −9.65902 0.362752i −0.860494 0.0323166i
\(127\) −6.69310 −0.593917 −0.296958 0.954890i \(-0.595972\pi\)
−0.296958 + 0.954890i \(0.595972\pi\)
\(128\) −11.2053 1.56236i −0.990419 0.138095i
\(129\) 13.9653 14.7857i 1.22958 1.30181i
\(130\) 1.04531 + 0.743400i 0.0916793 + 0.0652005i
\(131\) 13.3155 6.56649i 1.16338 0.573717i 0.245044 0.969512i \(-0.421197\pi\)
0.918339 + 0.395795i \(0.129531\pi\)
\(132\) 19.5897 1.98817i 1.70507 0.173048i
\(133\) 2.70232 + 7.96077i 0.234321 + 0.690286i
\(134\) −5.52044 + 6.77605i −0.476893 + 0.585362i
\(135\) 0.0941957 2.07701i 0.00810707 0.178760i
\(136\) −1.80024 3.28262i −0.154369 0.281483i
\(137\) −8.39291 + 10.9379i −0.717055 + 0.934484i −0.999694 0.0247424i \(-0.992123\pi\)
0.282639 + 0.959226i \(0.408790\pi\)
\(138\) −13.8116 0.00848970i −1.17572 0.000722692i
\(139\) −3.80943 + 0.249683i −0.323112 + 0.0211779i −0.226096 0.974105i \(-0.572596\pi\)
−0.0970157 + 0.995283i \(0.530930\pi\)
\(140\) −0.484490 1.75765i −0.0409469 0.148549i
\(141\) 6.36050 10.1334i 0.535651 0.853386i
\(142\) −0.193427 5.32492i −0.0162320 0.446858i
\(143\) 9.11077 + 9.11077i 0.761880 + 0.761880i
\(144\) −5.24346 + 10.7938i −0.436955 + 0.899483i
\(145\) 2.49127 2.49127i 0.206889 0.206889i
\(146\) 14.9616 + 13.9127i 1.23823 + 1.15143i
\(147\) 0.115700 3.13207i 0.00954275 0.258329i
\(148\) −5.85804 7.52209i −0.481528 0.618312i
\(149\) −0.963507 14.7003i −0.0789336 1.20429i −0.835169 0.549994i \(-0.814630\pi\)
0.756235 0.654300i \(-0.227037\pi\)
\(150\) −11.4532 + 3.06133i −0.935150 + 0.249957i
\(151\) 7.21972 + 5.53988i 0.587532 + 0.450829i 0.859256 0.511546i \(-0.170927\pi\)
−0.271724 + 0.962375i \(0.587594\pi\)
\(152\) 10.3972 + 0.911280i 0.843326 + 0.0739146i
\(153\) −3.90103 + 0.741965i −0.315379 + 0.0599843i
\(154\) −1.86039 18.2192i −0.149914 1.46814i
\(155\) −1.68612 + 0.572361i −0.135432 + 0.0459731i
\(156\) −7.64185 + 1.80577i −0.611838 + 0.144577i
\(157\) −1.83334 3.71765i −0.146317 0.296701i 0.811360 0.584547i \(-0.198728\pi\)
−0.957677 + 0.287846i \(0.907061\pi\)
\(158\) −2.82996 16.7667i −0.225140 1.33389i
\(159\) −2.60787 + 0.779148i −0.206818 + 0.0617905i
\(160\) −2.23950 0.328635i −0.177048 0.0259809i
\(161\) 12.8461i 1.01242i
\(162\) 9.17391 + 8.82267i 0.720770 + 0.693174i
\(163\) 0.773412 1.15749i 0.0605783 0.0906618i −0.799944 0.600075i \(-0.795137\pi\)
0.860522 + 0.509413i \(0.170137\pi\)
\(164\) 8.58667 + 9.65079i 0.670506 + 0.753600i
\(165\) 3.92198 0.369662i 0.305326 0.0287781i
\(166\) −4.60426 + 10.2595i −0.357360 + 0.796289i
\(167\) 17.3714 13.3296i 1.34424 1.03147i 0.348693 0.937237i \(-0.386626\pi\)
0.995550 0.0942369i \(-0.0300411\pi\)
\(168\) 10.0423 + 4.87074i 0.774777 + 0.375786i
\(169\) 6.23717 + 4.78595i 0.479782 + 0.368150i
\(170\) −0.355449 0.659304i −0.0272617 0.0505663i
\(171\) 4.32211 10.1916i 0.330520 0.779370i
\(172\) −21.6320 + 9.14247i −1.64942 + 0.697107i
\(173\) −0.180966 + 0.158703i −0.0137586 + 0.0120660i −0.666198 0.745775i \(-0.732079\pi\)
0.652439 + 0.757841i \(0.273746\pi\)
\(174\) 1.39739 + 21.5227i 0.105936 + 1.63163i
\(175\) 2.85388 + 10.6508i 0.215733 + 0.805126i
\(176\) −21.6324 6.99902i −1.63060 0.527571i
\(177\) 3.55046 + 5.76342i 0.266869 + 0.433206i
\(178\) −3.49905 + 0.127102i −0.262265 + 0.00952671i
\(179\) −15.7441 + 3.13171i −1.17677 + 0.234075i −0.744471 0.667654i \(-0.767298\pi\)
−0.432301 + 0.901729i \(0.642298\pi\)
\(180\) −1.06449 + 2.15189i −0.0793421 + 0.160392i
\(181\) 10.8788 + 16.2813i 0.808615 + 1.21018i 0.974579 + 0.224046i \(0.0719267\pi\)
−0.165963 + 0.986132i \(0.553073\pi\)
\(182\) 1.68391 + 7.10662i 0.124819 + 0.526777i
\(183\) −5.42057 2.06618i −0.400700 0.152737i
\(184\) 14.5966 + 6.42540i 1.07608 + 0.473687i
\(185\) −1.16117 1.51327i −0.0853712 0.111258i
\(186\) 4.17761 10.0681i 0.306317 0.738231i
\(187\) −2.41845 7.12452i −0.176855 0.520997i
\(188\) −11.4315 + 7.75737i −0.833727 + 0.565764i
\(189\) 8.20067 8.53765i 0.596511 0.621023i
\(190\) 2.07876 + 0.197221i 0.150809 + 0.0143079i
\(191\) 13.4095 + 23.2260i 0.970280 + 1.68057i 0.694704 + 0.719296i \(0.255535\pi\)
0.275576 + 0.961279i \(0.411131\pi\)
\(192\) 10.5574 8.97444i 0.761917 0.647674i
\(193\) −6.58835 + 11.4113i −0.474240 + 0.821407i −0.999565 0.0294945i \(-0.990610\pi\)
0.525325 + 0.850901i \(0.323944\pi\)
\(194\) −8.22551 + 11.5660i −0.590557 + 0.830391i
\(195\) −1.53142 + 0.350304i −0.109667 + 0.0250858i
\(196\) −1.57737 + 3.25724i −0.112669 + 0.232660i
\(197\) −8.05630 1.60250i −0.573988 0.114173i −0.100443 0.994943i \(-0.532026\pi\)
−0.473545 + 0.880770i \(0.657026\pi\)
\(198\) −14.1410 + 19.5345i −1.00496 + 1.38826i
\(199\) 6.45115 15.5744i 0.457310 1.10404i −0.512173 0.858882i \(-0.671159\pi\)
0.969482 0.245161i \(-0.0788407\pi\)
\(200\) 13.5296 + 2.08458i 0.956690 + 0.147402i
\(201\) −1.69935 10.5687i −0.119863 0.745459i
\(202\) 7.00122 6.60462i 0.492604 0.464699i
\(203\) 20.0173 1.31201i 1.40494 0.0920848i
\(204\) 4.46856 + 1.02794i 0.312862 + 0.0719704i
\(205\) 1.70401 + 1.94305i 0.119013 + 0.135709i
\(206\) −12.5487 + 23.6807i −0.874308 + 1.64991i
\(207\) 11.2597 12.6238i 0.782603 0.877414i
\(208\) 8.91728 + 1.64123i 0.618302 + 0.113799i
\(209\) 20.2601 + 5.42867i 1.40142 + 0.375509i
\(210\) 2.00207 + 0.988843i 0.138156 + 0.0682366i
\(211\) −9.89361 3.35843i −0.681104 0.231204i −0.0406194 0.999175i \(-0.512933\pi\)
−0.640485 + 0.767971i \(0.721266\pi\)
\(212\) 3.11881 + 0.387878i 0.214201 + 0.0266396i
\(213\) 5.02722 + 4.16118i 0.344459 + 0.285119i
\(214\) 6.17565 10.0111i 0.422159 0.684344i
\(215\) −4.34081 + 1.79802i −0.296041 + 0.122624i
\(216\) −5.59923 13.5885i −0.380979 0.924584i
\(217\) −9.36671 3.87982i −0.635854 0.263379i
\(218\) −0.728352 1.00876i −0.0493302 0.0683217i
\(219\) −24.9120 + 2.34805i −1.68340 + 0.158666i
\(220\) −4.31775 1.43125i −0.291103 0.0964946i
\(221\) 1.32705 + 2.69099i 0.0892669 + 0.181015i
\(222\) 11.6513 + 0.770862i 0.781986 + 0.0517369i
\(223\) 1.22985 0.710053i 0.0823568 0.0475487i −0.458256 0.888820i \(-0.651526\pi\)
0.540613 + 0.841272i \(0.318192\pi\)
\(224\) −8.35312 9.81429i −0.558116 0.655745i
\(225\) 6.53102 12.9679i 0.435401 0.864528i
\(226\) −16.3105 + 13.4838i −1.08496 + 0.896931i
\(227\) 11.5885 + 0.759554i 0.769159 + 0.0504133i 0.444930 0.895565i \(-0.353229\pi\)
0.324229 + 0.945979i \(0.394895\pi\)
\(228\) −9.30369 + 8.76586i −0.616152 + 0.580533i
\(229\) 5.53624 + 4.85515i 0.365845 + 0.320837i 0.822456 0.568829i \(-0.192603\pi\)
−0.456611 + 0.889667i \(0.650937\pi\)
\(230\) 2.91099 + 1.30640i 0.191945 + 0.0861414i
\(231\) 18.1770 + 13.1413i 1.19596 + 0.864637i
\(232\) 8.52153 23.4013i 0.559466 1.53637i
\(233\) 19.8440 8.21965i 1.30002 0.538487i 0.378066 0.925779i \(-0.376589\pi\)
0.921957 + 0.387291i \(0.126589\pi\)
\(234\) 4.57423 8.45958i 0.299026 0.553020i
\(235\) −2.29811 + 1.53555i −0.149912 + 0.100168i
\(236\) −1.07577 7.74208i −0.0700269 0.503967i
\(237\) 17.6387 + 11.0714i 1.14575 + 0.719164i
\(238\) 0.953530 4.15678i 0.0618082 0.269444i
\(239\) −0.769771 2.87282i −0.0497923 0.185828i 0.936551 0.350533i \(-0.113999\pi\)
−0.986343 + 0.164705i \(0.947333\pi\)
\(240\) 2.12499 1.78029i 0.137168 0.114917i
\(241\) 2.46422 9.19659i 0.158734 0.592404i −0.840022 0.542552i \(-0.817458\pi\)
0.998757 0.0498526i \(-0.0158751\pi\)
\(242\) −26.6282 14.1106i −1.71172 0.907063i
\(243\) −15.5420 + 1.20195i −0.997023 + 0.0771053i
\(244\) 4.77033 + 4.70243i 0.305389 + 0.301042i
\(245\) −0.320240 + 0.649382i −0.0204594 + 0.0414875i
\(246\) −15.8210 0.00972482i −1.00871 0.000620032i
\(247\) −8.29295 1.09179i −0.527668 0.0694688i
\(248\) −9.09358 + 8.70248i −0.577443 + 0.552608i
\(249\) −5.63132 12.5687i −0.356870 0.796509i
\(250\) 5.49695 + 0.887324i 0.347658 + 0.0561193i
\(251\) 5.18920 + 1.03220i 0.327540 + 0.0651517i 0.356121 0.934440i \(-0.384099\pi\)
−0.0285816 + 0.999591i \(0.509099\pi\)
\(252\) −12.6354 + 5.21558i −0.795958 + 0.328551i
\(253\) 26.6488 + 17.8062i 1.67540 + 1.11947i
\(254\) −8.60770 + 3.93734i −0.540095 + 0.247051i
\(255\) 0.892507 + 0.212058i 0.0558910 + 0.0132796i
\(256\) −15.3297 + 4.58245i −0.958109 + 0.286403i
\(257\) 10.6547 18.4546i 0.664625 1.15116i −0.314762 0.949171i \(-0.601925\pi\)
0.979387 0.201993i \(-0.0647419\pi\)
\(258\) 9.26220 27.2306i 0.576640 1.69530i
\(259\) 0.710314 10.8373i 0.0441367 0.673396i
\(260\) 1.78164 + 0.341133i 0.110493 + 0.0211562i
\(261\) −20.8209 16.2560i −1.28878 1.00622i
\(262\) 13.2617 16.2780i 0.819308 1.00566i
\(263\) 5.38419 0.708841i 0.332003 0.0437090i 0.0373180 0.999303i \(-0.488119\pi\)
0.294685 + 0.955594i \(0.404785\pi\)
\(264\) 24.0239 14.0809i 1.47857 0.866621i
\(265\) 0.623394 + 0.0820714i 0.0382948 + 0.00504160i
\(266\) 8.15840 + 8.64830i 0.500224 + 0.530262i
\(267\) 2.73434 3.30343i 0.167339 0.202166i
\(268\) −3.11346 + 11.9619i −0.190185 + 0.730688i
\(269\) −16.3342 + 3.24908i −0.995917 + 0.198100i −0.666034 0.745922i \(-0.732009\pi\)
−0.329883 + 0.944022i \(0.607009\pi\)
\(270\) −1.10070 2.72656i −0.0669862 0.165933i
\(271\) −1.32975 1.32975i −0.0807766 0.0807766i 0.665564 0.746341i \(-0.268191\pi\)
−0.746341 + 0.665564i \(0.768191\pi\)
\(272\) −4.24627 3.16261i −0.257468 0.191762i
\(273\) −7.87083 4.24963i −0.476364 0.257199i
\(274\) −4.35936 + 19.0040i −0.263358 + 1.14807i
\(275\) 26.0506 + 8.84298i 1.57091 + 0.533252i
\(276\) −17.7675 + 8.11402i −1.06948 + 0.488406i
\(277\) 11.6888 + 5.76428i 0.702313 + 0.346342i 0.758134 0.652099i \(-0.226111\pi\)
−0.0558217 + 0.998441i \(0.517778\pi\)
\(278\) −4.75226 + 2.56208i −0.285022 + 0.153663i
\(279\) 5.80392 + 12.0227i 0.347472 + 0.719777i
\(280\) −1.65705 1.97543i −0.0990278 0.118054i
\(281\) 0.445051 + 3.38050i 0.0265495 + 0.201664i 0.999579 0.0290176i \(-0.00923788\pi\)
−0.973029 + 0.230681i \(0.925905\pi\)
\(282\) 2.21880 16.7738i 0.132128 0.998865i
\(283\) −7.80561 6.84534i −0.463996 0.406913i 0.395172 0.918607i \(-0.370685\pi\)
−0.859168 + 0.511694i \(0.829018\pi\)
\(284\) −3.38124 6.73436i −0.200640 0.399611i
\(285\) −1.87387 + 1.74036i −0.110998 + 0.103090i
\(286\) 17.0765 + 6.35738i 1.00976 + 0.375920i
\(287\) 14.7150i 0.868600i
\(288\) −0.393726 + 16.9660i −0.0232005 + 0.999731i
\(289\) 15.2479i 0.896938i
\(290\) 1.73838 4.66945i 0.102081 0.274200i
\(291\) −3.87602 16.9447i −0.227216 0.993318i
\(292\) 27.4259 + 9.09112i 1.60498 + 0.532017i
\(293\) −5.39906 4.73485i −0.315417 0.276613i 0.486969 0.873419i \(-0.338103\pi\)
−0.802385 + 0.596807i \(0.796436\pi\)
\(294\) −1.69370 4.09608i −0.0987788 0.238888i
\(295\) −0.204117 1.55042i −0.0118842 0.0902692i
\(296\) −11.9588 6.22773i −0.695090 0.361979i
\(297\) −6.34400 28.8462i −0.368116 1.67383i
\(298\) −9.88684 18.3386i −0.572729 1.06233i
\(299\) −11.4632 5.65302i −0.662934 0.326923i
\(300\) −12.9286 + 10.6746i −0.746431 + 0.616298i
\(301\) −25.3323 8.59916i −1.46013 0.495648i
\(302\) 12.5439 + 2.87747i 0.721820 + 0.165580i
\(303\) 0.336223 + 11.7832i 0.0193155 + 0.676927i
\(304\) 13.9075 4.94440i 0.797649 0.283581i
\(305\) 0.947610 + 0.947610i 0.0542600 + 0.0542600i
\(306\) −4.58047 + 3.24906i −0.261848 + 0.185737i
\(307\) −22.3885 + 4.45335i −1.27778 + 0.254166i −0.786910 0.617067i \(-0.788321\pi\)
−0.490869 + 0.871233i \(0.663321\pi\)
\(308\) −13.1103 22.3365i −0.747031 1.27274i
\(309\) −11.4329 30.7677i −0.650396 1.75032i
\(310\) −1.83174 + 1.72798i −0.104036 + 0.0981426i
\(311\) −26.3477 3.46874i −1.49404 0.196694i −0.661202 0.750208i \(-0.729953\pi\)
−0.832840 + 0.553514i \(0.813287\pi\)
\(312\) −8.76557 + 6.81778i −0.496253 + 0.385981i
\(313\) −7.67035 + 1.00982i −0.433554 + 0.0570784i −0.344145 0.938917i \(-0.611831\pi\)
−0.0894089 + 0.995995i \(0.528498\pi\)
\(314\) −4.54476 3.70261i −0.256476 0.208950i
\(315\) −2.53533 + 1.02531i −0.142850 + 0.0577697i
\(316\) −13.5028 19.8982i −0.759594 1.11936i
\(317\) 1.98725 30.3196i 0.111615 1.70292i −0.464517 0.885564i \(-0.653772\pi\)
0.576132 0.817356i \(-0.304561\pi\)
\(318\) −2.89552 + 2.53616i −0.162373 + 0.142221i
\(319\) 25.0246 43.3439i 1.40111 2.42679i
\(320\) −3.07344 + 0.894783i −0.171811 + 0.0500199i
\(321\) 4.12401 + 13.8034i 0.230180 + 0.770430i
\(322\) 7.55696 + 16.5208i 0.421133 + 0.920669i
\(323\) 4.06120 + 2.71361i 0.225971 + 0.150989i
\(324\) 16.9883 + 5.94972i 0.943792 + 0.330540i
\(325\) −10.7601 2.14032i −0.596863 0.118723i
\(326\) 0.313734 1.94357i 0.0173761 0.107645i
\(327\) 1.51588 + 0.155730i 0.0838282 + 0.00861188i
\(328\) 16.7202 + 7.36019i 0.923219 + 0.406399i
\(329\) −15.6025 2.05411i −0.860194 0.113247i
\(330\) 4.82642 2.78258i 0.265686 0.153176i
\(331\) 5.18082 10.5057i 0.284764 0.577443i −0.706747 0.707466i \(-0.749838\pi\)
0.991511 + 0.130022i \(0.0415049\pi\)
\(332\) 0.113990 + 15.9028i 0.00625599 + 0.872779i
\(333\) −10.1970 + 10.0271i −0.558791 + 0.549484i
\(334\) 14.4993 27.3617i 0.793365 1.49716i
\(335\) −0.640032 + 2.38863i −0.0349687 + 0.130505i
\(336\) 15.7802 + 0.356503i 0.860881 + 0.0194488i
\(337\) 5.86998 + 21.9071i 0.319758 + 1.19335i 0.919477 + 0.393144i \(0.128613\pi\)
−0.599719 + 0.800211i \(0.704721\pi\)
\(338\) 10.8368 + 2.48586i 0.589442 + 0.135213i
\(339\) 0.956786 25.9009i 0.0519655 1.40674i
\(340\) −0.844975 0.638802i −0.0458252 0.0346439i
\(341\) −21.0319 + 14.0531i −1.13894 + 0.761016i
\(342\) −0.436918 15.6495i −0.0236258 0.846229i
\(343\) −18.5426 + 7.68061i −1.00121 + 0.414714i
\(344\) −22.4417 + 24.4832i −1.20998 + 1.32004i
\(345\) −3.56620 + 1.59781i −0.191998 + 0.0860234i
\(346\) −0.139372 + 0.310557i −0.00749271 + 0.0166957i
\(347\) −11.1091 9.74243i −0.596369 0.523001i 0.307088 0.951681i \(-0.400645\pi\)
−0.903456 + 0.428680i \(0.858979\pi\)
\(348\) 14.4582 + 26.8573i 0.775043 + 1.43970i
\(349\) 18.3610 + 1.20345i 0.982844 + 0.0644190i 0.548344 0.836253i \(-0.315258\pi\)
0.434500 + 0.900672i \(0.356925\pi\)
\(350\) 9.93579 + 12.0187i 0.531090 + 0.642426i
\(351\) 4.00979 + 11.0749i 0.214027 + 0.591135i
\(352\) −31.9378 + 3.72454i −1.70229 + 0.198519i
\(353\) −5.40531 + 3.12076i −0.287696 + 0.166101i −0.636902 0.770945i \(-0.719785\pi\)
0.349206 + 0.937046i \(0.386451\pi\)
\(354\) 7.95653 + 5.32346i 0.422885 + 0.282939i
\(355\) −0.666795 1.35213i −0.0353898 0.0717634i
\(356\) −4.42520 + 2.22184i −0.234535 + 0.117757i
\(357\) 3.02456 + 4.25841i 0.160076 + 0.225379i
\(358\) −18.4056 + 13.2893i −0.972765 + 0.702363i
\(359\) 9.22143 + 3.81964i 0.486689 + 0.201593i 0.612515 0.790459i \(-0.290158\pi\)
−0.125826 + 0.992052i \(0.540158\pi\)
\(360\) −0.103098 + 3.39366i −0.00543376 + 0.178861i
\(361\) 4.97364 2.06015i 0.261770 0.108429i
\(362\) 23.5685 + 14.5390i 1.23873 + 0.764152i
\(363\) 34.5973 12.8559i 1.81589 0.674762i
\(364\) 6.34620 + 8.14891i 0.332631 + 0.427119i
\(365\) 5.47379 + 1.85810i 0.286511 + 0.0972574i
\(366\) −8.18663 + 0.531526i −0.427922 + 0.0277833i
\(367\) 29.7951 + 7.98357i 1.55529 + 0.416739i 0.931169 0.364588i \(-0.118790\pi\)
0.624122 + 0.781327i \(0.285457\pi\)
\(368\) 22.5519 0.323316i 1.17560 0.0168540i
\(369\) 12.8978 14.4603i 0.671432 0.752776i
\(370\) −2.38355 1.26307i −0.123915 0.0656639i
\(371\) 2.36052 + 2.69166i 0.122552 + 0.139744i
\(372\) −0.550128 15.4057i −0.0285228 0.798751i
\(373\) 35.6900 2.33924i 1.84796 0.121121i 0.899281 0.437371i \(-0.144090\pi\)
0.948676 + 0.316250i \(0.102424\pi\)
\(374\) −7.30139 7.73984i −0.377546 0.400217i
\(375\) −5.28967 + 4.30408i −0.273157 + 0.222262i
\(376\) −10.1381 + 16.7012i −0.522833 + 0.861298i
\(377\) −7.63801 + 18.4398i −0.393378 + 0.949698i
\(378\) 5.52409 15.8041i 0.284129 0.812875i
\(379\) 18.4721 + 3.67434i 0.948850 + 0.188738i 0.645172 0.764037i \(-0.276786\pi\)
0.303677 + 0.952775i \(0.401786\pi\)
\(380\) 2.78942 0.969235i 0.143094 0.0497207i
\(381\) 3.41176 11.0794i 0.174790 0.567614i
\(382\) 30.9086 + 21.9815i 1.58142 + 1.12467i
\(383\) 14.5661 25.2292i 0.744293 1.28915i −0.206232 0.978503i \(-0.566120\pi\)
0.950525 0.310649i \(-0.100547\pi\)
\(384\) 8.29807 17.7522i 0.423459 0.905915i
\(385\) −2.59083 4.48744i −0.132041 0.228701i
\(386\) −1.76004 + 18.5514i −0.0895837 + 0.944239i
\(387\) 17.3567 + 30.6543i 0.882290 + 1.55824i
\(388\) −3.77454 + 19.7133i −0.191623 + 1.00079i
\(389\) 1.17400 + 3.45850i 0.0595242 + 0.175353i 0.972625 0.232382i \(-0.0746521\pi\)
−0.913100 + 0.407735i \(0.866319\pi\)
\(390\) −1.76342 + 1.35140i −0.0892942 + 0.0684307i
\(391\) 4.54350 + 5.92120i 0.229774 + 0.299448i
\(392\) −0.112453 + 5.11691i −0.00567975 + 0.258443i
\(393\) 4.08231 + 25.3890i 0.205925 + 1.28071i
\(394\) −11.3036 + 2.67837i −0.569465 + 0.134934i
\(395\) −2.67285 4.00020i −0.134485 0.201272i
\(396\) −6.69462 + 33.4412i −0.336417 + 1.68048i
\(397\) 18.9963 3.77861i 0.953399 0.189643i 0.306203 0.951966i \(-0.400942\pi\)
0.647196 + 0.762324i \(0.275942\pi\)
\(398\) −0.865424 23.8246i −0.0433798 1.19422i
\(399\) −14.5553 + 0.415322i −0.728676 + 0.0207921i
\(400\) 18.6262 5.27818i 0.931309 0.263909i
\(401\) 1.45309 + 5.42299i 0.0725636 + 0.270811i 0.992670 0.120858i \(-0.0385645\pi\)
−0.920106 + 0.391669i \(0.871898\pi\)
\(402\) −8.40269 12.5923i −0.419088 0.628045i
\(403\) 7.58404 6.65102i 0.377788 0.331311i
\(404\) 5.11867 12.6125i 0.254663 0.627495i
\(405\) 3.39014 + 1.21466i 0.168458 + 0.0603571i
\(406\) 24.9716 13.4629i 1.23932 0.668152i
\(407\) −21.4970 16.4953i −1.06557 0.817639i
\(408\) 6.35153 1.30672i 0.314447 0.0646924i
\(409\) −14.7168 + 11.2926i −0.727698 + 0.558382i −0.904814 0.425808i \(-0.859990\pi\)
0.177116 + 0.984190i \(0.443323\pi\)
\(410\) 3.33449 + 1.49646i 0.164679 + 0.0739048i
\(411\) −13.8277 19.4686i −0.682069 0.960317i
\(412\) −2.20770 + 37.8367i −0.108766 + 1.86408i
\(413\) 4.94678 7.40338i 0.243415 0.364296i
\(414\) 7.05441 22.8586i 0.346705 1.12344i
\(415\) 3.18168i 0.156183i
\(416\) 12.4336 3.13504i 0.609608 0.153708i
\(417\) 1.52852 6.43319i 0.0748518 0.315035i
\(418\) 29.2491 4.93679i 1.43062 0.241467i
\(419\) 8.72528 + 17.6931i 0.426258 + 0.864365i 0.999003 + 0.0446320i \(0.0142115\pi\)
−0.572746 + 0.819733i \(0.694122\pi\)
\(420\) 3.15648 + 0.0939511i 0.154021 + 0.00458434i
\(421\) −11.8005 + 4.00573i −0.575121 + 0.195227i −0.593820 0.804598i \(-0.702381\pi\)
0.0186992 + 0.999825i \(0.494048\pi\)
\(422\) −14.6994 + 1.50097i −0.715555 + 0.0730663i
\(423\) 13.5320 + 15.6942i 0.657950 + 0.763080i
\(424\) 4.23914 1.33587i 0.205871 0.0648754i
\(425\) 5.08250 + 3.89994i 0.246537 + 0.189175i
\(426\) 8.91317 + 2.39415i 0.431845 + 0.115997i
\(427\) 0.499051 + 7.61404i 0.0241507 + 0.368469i
\(428\) 2.05303 16.5078i 0.0992367 0.797933i
\(429\) −19.7256 + 10.4373i −0.952361 + 0.503918i
\(430\) −4.52481 + 4.86592i −0.218206 + 0.234656i
\(431\) 10.0459 10.0459i 0.483896 0.483896i −0.422478 0.906373i \(-0.638840\pi\)
0.906373 + 0.422478i \(0.138840\pi\)
\(432\) −15.1946 14.1818i −0.731052 0.682321i
\(433\) 3.46735 + 3.46735i 0.166630 + 0.166630i 0.785496 0.618866i \(-0.212408\pi\)
−0.618866 + 0.785496i \(0.712408\pi\)
\(434\) −14.3285 + 0.520479i −0.687790 + 0.0249838i
\(435\) 2.85400 + 5.39382i 0.136839 + 0.258614i
\(436\) −1.53012 0.868853i −0.0732796 0.0416105i
\(437\) −20.7621 + 1.36082i −0.993187 + 0.0650969i
\(438\) −30.6569 + 17.6747i −1.46484 + 0.844528i
\(439\) 11.2888 14.7118i 0.538784 0.702157i −0.442052 0.896989i \(-0.645749\pi\)
0.980837 + 0.194832i \(0.0624162\pi\)
\(440\) −6.39483 + 0.699334i −0.304861 + 0.0333394i
\(441\) 5.12568 + 1.78807i 0.244080 + 0.0851463i
\(442\) 3.28968 + 2.68010i 0.156474 + 0.127479i
\(443\) −4.49189 13.2327i −0.213416 0.628703i −0.999938 0.0111409i \(-0.996454\pi\)
0.786522 0.617562i \(-0.211880\pi\)
\(444\) 15.4377 5.86274i 0.732643 0.278234i
\(445\) −0.888493 + 0.438156i −0.0421186 + 0.0207706i
\(446\) 1.16395 1.63665i 0.0551147 0.0774976i
\(447\) 24.8252 + 5.89842i 1.17419 + 0.278986i
\(448\) −16.5160 7.70785i −0.780308 0.364161i
\(449\) −29.6075 −1.39727 −0.698633 0.715480i \(-0.746208\pi\)
−0.698633 + 0.715480i \(0.746208\pi\)
\(450\) 0.770625 20.5195i 0.0363276 0.967297i
\(451\) 30.5258 + 20.3967i 1.43740 + 0.960443i
\(452\) −13.0442 + 26.9360i −0.613546 + 1.26696i
\(453\) −12.8506 + 9.12720i −0.603774 + 0.428833i
\(454\) 15.3503 5.84035i 0.720427 0.274101i
\(455\) 1.25794 + 1.63937i 0.0589729 + 0.0768550i
\(456\) −6.80838 + 16.7465i −0.318832 + 0.784225i
\(457\) 1.70115 2.21698i 0.0795762 0.103706i −0.751869 0.659313i \(-0.770847\pi\)
0.831445 + 0.555607i \(0.187514\pi\)
\(458\) 9.97605 + 2.98720i 0.466150 + 0.139583i
\(459\) 0.760312 6.83575i 0.0354883 0.319066i
\(460\) 4.51221 0.0323430i 0.210383 0.00150800i
\(461\) −19.0526 21.7254i −0.887370 1.01185i −0.999834 0.0181959i \(-0.994208\pi\)
0.112464 0.993656i \(-0.464126\pi\)
\(462\) 31.1073 + 6.20751i 1.44724 + 0.288800i
\(463\) 12.2444 3.28089i 0.569048 0.152476i 0.0371879 0.999308i \(-0.488160\pi\)
0.531860 + 0.846832i \(0.321493\pi\)
\(464\) −2.80709 35.1084i −0.130316 1.62986i
\(465\) −0.0879668 3.08286i −0.00407936 0.142964i
\(466\) 20.6851 22.2445i 0.958220 1.03046i
\(467\) 3.30068 + 16.5936i 0.152737 + 0.767861i 0.978886 + 0.204409i \(0.0655272\pi\)
−0.826148 + 0.563452i \(0.809473\pi\)
\(468\) 0.906205 13.5704i 0.0418893 0.627290i
\(469\) −11.7072 + 7.82250i −0.540588 + 0.361210i
\(470\) −2.05218 + 3.32671i −0.0946601 + 0.153450i
\(471\) 7.08853 1.13977i 0.326622 0.0525178i
\(472\) −5.93793 9.32390i −0.273315 0.429167i
\(473\) −52.9522 + 40.6316i −2.43474 + 1.86825i
\(474\) 29.1973 + 3.86215i 1.34107 + 0.177395i
\(475\) −16.9117 + 5.74076i −0.775963 + 0.263404i
\(476\) −1.21901 5.90678i −0.0558732 0.270737i
\(477\) 0.0395858 4.71409i 0.00181251 0.215843i
\(478\) −2.67996 3.24178i −0.122579 0.148276i
\(479\) −18.7062 + 10.8000i −0.854707 + 0.493465i −0.862236 0.506506i \(-0.830937\pi\)
0.00752915 + 0.999972i \(0.497603\pi\)
\(480\) 1.68557 3.53962i 0.0769354 0.161561i
\(481\) 9.35806 + 5.40288i 0.426691 + 0.246350i
\(482\) −2.24094 13.2770i −0.102072 0.604749i
\(483\) −21.2647 6.54821i −0.967579 0.297954i
\(484\) −42.5461 2.48249i −1.93391 0.112840i
\(485\) −0.783405 + 3.93844i −0.0355726 + 0.178835i
\(486\) −19.2809 + 10.6887i −0.874598 + 0.484848i
\(487\) −25.1046 10.3987i −1.13760 0.471209i −0.267242 0.963630i \(-0.586112\pi\)
−0.870357 + 0.492421i \(0.836112\pi\)
\(488\) 8.90121 + 3.24135i 0.402939 + 0.146729i
\(489\) 1.52181 + 1.87029i 0.0688185 + 0.0845772i
\(490\) −0.0298351 + 1.02353i −0.00134781 + 0.0462383i
\(491\) −1.00162 15.2818i −0.0452026 0.689659i −0.958985 0.283455i \(-0.908519\pi\)
0.913783 0.406203i \(-0.133147\pi\)
\(492\) −20.3524 + 9.29447i −0.917556 + 0.419027i
\(493\) 8.76262 7.68461i 0.394649 0.346097i
\(494\) −11.3075 + 3.47438i −0.508747 + 0.156320i
\(495\) −1.38728 + 6.68066i −0.0623537 + 0.300273i
\(496\) −6.57546 + 16.5413i −0.295247 + 0.742728i
\(497\) 2.22169 8.29147i 0.0996565 0.371923i
\(498\) −14.6360 12.8513i −0.655853 0.575881i
\(499\) −1.91436 + 5.63952i −0.0856984 + 0.252459i −0.981328 0.192341i \(-0.938392\pi\)
0.895630 + 0.444800i \(0.146725\pi\)
\(500\) 7.59137 2.09253i 0.339496 0.0935810i
\(501\) 13.2101 + 35.5504i 0.590183 + 1.58827i
\(502\) 7.28081 1.72518i 0.324959 0.0769987i
\(503\) −0.0523749 0.126444i −0.00233528 0.00563787i 0.922708 0.385501i \(-0.125971\pi\)
−0.925043 + 0.379863i \(0.875971\pi\)
\(504\) −13.1817 + 14.1406i −0.587161 + 0.629871i
\(505\) 1.04213 2.51592i 0.0463741 0.111957i
\(506\) 44.7467 + 7.22307i 1.98923 + 0.321105i
\(507\) −11.1017 + 7.88506i −0.493045 + 0.350188i
\(508\) −8.75377 + 10.1273i −0.388386 + 0.449326i
\(509\) 2.28920 1.12891i 0.101467 0.0500379i −0.390847 0.920456i \(-0.627818\pi\)
0.492314 + 0.870418i \(0.336151\pi\)
\(510\) 1.27256 0.252315i 0.0563500 0.0111727i
\(511\) 16.4566 + 28.5037i 0.727999 + 1.26093i
\(512\) −17.0192 + 14.9113i −0.752150 + 0.658992i
\(513\) 14.6674 + 12.3497i 0.647583 + 0.545251i
\(514\) 2.84636 30.0015i 0.125547 1.32331i
\(515\) −0.495931 + 7.56645i −0.0218533 + 0.333417i
\(516\) −4.10718 40.4687i −0.180809 1.78154i
\(517\) −25.8880 + 29.5196i −1.13855 + 1.29827i
\(518\) −5.46174 14.3552i −0.239975 0.630732i
\(519\) −0.170462 0.380458i −0.00748244 0.0167003i
\(520\) 2.49197 0.609367i 0.109280 0.0267225i
\(521\) −14.7760 35.6725i −0.647350 1.56284i −0.816559 0.577262i \(-0.804121\pi\)
0.169209 0.985580i \(-0.445879\pi\)
\(522\) −36.3397 8.65787i −1.59055 0.378945i
\(523\) −4.29786 6.43220i −0.187932 0.281260i 0.725524 0.688196i \(-0.241597\pi\)
−0.913457 + 0.406936i \(0.866597\pi\)
\(524\) 7.47940 28.7358i 0.326739 1.25533i
\(525\) −19.0855 0.705024i −0.832960 0.0307698i
\(526\) 6.50737 4.07896i 0.283735 0.177851i
\(527\) −5.68967 + 1.52454i −0.247846 + 0.0664101i
\(528\) 22.6127 32.2414i 0.984093 1.40313i
\(529\) −8.49378 2.27590i −0.369295 0.0989522i
\(530\) 0.849999 0.261175i 0.0369216 0.0113447i
\(531\) −11.3503 + 2.93937i −0.492560 + 0.127558i
\(532\) 15.5797 + 6.32287i 0.675465 + 0.274131i
\(533\) −13.1309 6.47545i −0.568763 0.280483i
\(534\) 1.57322 5.85692i 0.0680797 0.253454i
\(535\) 0.434401 3.29960i 0.0187808 0.142654i
\(536\) 3.03272 + 17.2152i 0.130994 + 0.743584i
\(537\) 2.84141 27.6583i 0.122616 1.19355i
\(538\) −19.0954 + 13.7874i −0.823262 + 0.594418i
\(539\) −2.00663 + 10.0880i −0.0864315 + 0.434521i
\(540\) −3.01951 2.85900i −0.129939 0.123032i
\(541\) 7.92903 11.8666i 0.340896 0.510186i −0.620924 0.783871i \(-0.713242\pi\)
0.961820 + 0.273685i \(0.0882424\pi\)
\(542\) −2.49238 0.927883i −0.107057 0.0398560i
\(543\) −32.4965 + 9.70890i −1.39456 + 0.416649i
\(544\) −7.32141 1.56935i −0.313903 0.0672852i
\(545\) −0.304871 0.176017i −0.0130592 0.00753974i
\(546\) −12.6222 0.835098i −0.540182 0.0357389i
\(547\) −5.47420 0.358798i −0.234060 0.0153411i −0.0520782 0.998643i \(-0.516585\pi\)
−0.181982 + 0.983302i \(0.558251\pi\)
\(548\) 5.57307 + 27.0047i 0.238070 + 1.15358i
\(549\) 6.18334 7.91969i 0.263898 0.338004i
\(550\) 38.7045 3.95217i 1.65037 0.168521i
\(551\) 4.24098 + 32.2134i 0.180672 + 1.37234i
\(552\) −18.0768 + 20.8871i −0.769398 + 0.889016i
\(553\) 3.57548 27.1584i 0.152045 1.15489i
\(554\) 18.4234 + 0.537029i 0.782736 + 0.0228162i
\(555\) 3.09689 1.15076i 0.131455 0.0488472i
\(556\) −4.60449 + 6.09058i −0.195274 + 0.258298i
\(557\) −0.906351 4.55653i −0.0384033 0.193067i 0.956821 0.290676i \(-0.0938803\pi\)
−0.995225 + 0.0976098i \(0.968880\pi\)
\(558\) 14.5367 + 12.0475i 0.615388 + 0.510013i
\(559\) 18.8211 18.8211i 0.796048 0.796048i
\(560\) −3.29314 1.56572i −0.139161 0.0661636i
\(561\) 13.0263 0.371694i 0.549972 0.0156929i
\(562\) 2.56100 + 4.08570i 0.108029 + 0.172345i
\(563\) −7.82050 + 23.0384i −0.329595 + 0.970955i 0.648215 + 0.761458i \(0.275516\pi\)
−0.977809 + 0.209497i \(0.932817\pi\)
\(564\) −7.01400 22.8773i −0.295343 0.963308i
\(565\) −2.64824 + 5.37011i −0.111412 + 0.225922i
\(566\) −14.0654 4.21169i −0.591211 0.177031i
\(567\) 9.95251 + 17.9269i 0.417966 + 0.752861i
\(568\) −8.31008 6.67169i −0.348683 0.279938i
\(569\) 16.3278 2.14960i 0.684498 0.0901158i 0.219746 0.975557i \(-0.429477\pi\)
0.464751 + 0.885441i \(0.346144\pi\)
\(570\) −1.38610 + 3.34054i −0.0580574 + 0.139920i
\(571\) −7.08994 + 8.08452i −0.296705 + 0.338327i −0.880914 0.473276i \(-0.843071\pi\)
0.584210 + 0.811603i \(0.301405\pi\)
\(572\) 25.7012 1.86965i 1.07462 0.0781740i
\(573\) −45.2824 + 10.3581i −1.89170 + 0.432717i
\(574\) 8.65638 + 18.9243i 0.361310 + 0.789886i
\(575\) −27.2901 −1.13807
\(576\) 9.47421 + 22.0508i 0.394759 + 0.918785i
\(577\) −16.7349 −0.696684 −0.348342 0.937367i \(-0.613255\pi\)
−0.348342 + 0.937367i \(0.613255\pi\)
\(578\) 8.96989 + 19.6097i 0.373098 + 0.815656i
\(579\) −15.5313 16.7228i −0.645461 0.694977i
\(580\) −0.511242 7.02781i −0.0212282 0.291814i
\(581\) −11.9446 + 13.6202i −0.495545 + 0.565061i
\(582\) −14.9528 19.5117i −0.619815 0.808787i
\(583\) 8.85572 1.16588i 0.366767 0.0482857i
\(584\) 40.6192 4.44209i 1.68083 0.183815i
\(585\) 0.200756 2.71359i 0.00830022 0.112193i
\(586\) −9.72886 2.91318i −0.401895 0.120342i
\(587\) −16.0033 + 32.4514i −0.660526 + 1.33941i 0.266289 + 0.963893i \(0.414203\pi\)
−0.926814 + 0.375520i \(0.877464\pi\)
\(588\) −4.58780 4.27144i −0.189198 0.176151i
\(589\) 5.27839 15.5496i 0.217492 0.640712i
\(590\) −1.17457 1.87386i −0.0483564 0.0771455i
\(591\) 6.75933 12.5191i 0.278041 0.514967i
\(592\) −19.0432 0.974231i −0.782672 0.0400406i
\(593\) −0.0279938 + 0.0279938i −0.00114957 + 0.00114957i −0.707681 0.706532i \(-0.750259\pi\)
0.706532 + 0.707681i \(0.250259\pi\)
\(594\) −25.1281 33.3658i −1.03102 1.36902i
\(595\) −0.235405 1.18346i −0.00965065 0.0485171i
\(596\) −23.5030 17.7683i −0.962722 0.727819i
\(597\) 22.4926 + 18.6178i 0.920562 + 0.761977i
\(598\) −18.0678 0.526664i −0.738848 0.0215369i
\(599\) −1.52297 + 11.5681i −0.0622270 + 0.472661i 0.931752 + 0.363094i \(0.118280\pi\)
−0.993979 + 0.109567i \(0.965054\pi\)
\(600\) −10.3473 + 21.3336i −0.422428 + 0.870941i
\(601\) −6.09035 46.2608i −0.248431 1.88702i −0.428770 0.903414i \(-0.641053\pi\)
0.180339 0.983605i \(-0.442281\pi\)
\(602\) −37.6374 + 3.84321i −1.53399 + 0.156637i
\(603\) 18.3611 + 2.57431i 0.747720 + 0.104834i
\(604\) 17.8249 3.67860i 0.725284 0.149680i
\(605\) −8.50823 0.557659i −0.345909 0.0226720i
\(606\) 7.36409 + 14.9561i 0.299146 + 0.607549i
\(607\) 38.8071 + 22.4053i 1.57513 + 0.909402i 0.995524 + 0.0945056i \(0.0301270\pi\)
0.579606 + 0.814897i \(0.303206\pi\)
\(608\) 14.9772 14.5401i 0.607404 0.589680i
\(609\) −8.03187 + 33.8044i −0.325468 + 1.36982i
\(610\) 1.77613 + 0.661230i 0.0719134 + 0.0267724i
\(611\) 8.69897 13.0189i 0.351923 0.526690i
\(612\) −3.97941 + 6.87302i −0.160858 + 0.277825i
\(613\) 0.468268 2.35414i 0.0189132 0.0950830i −0.970176 0.242402i \(-0.922065\pi\)
0.989089 + 0.147319i \(0.0470645\pi\)
\(614\) −26.1731 + 18.8977i −1.05626 + 0.762650i
\(615\) −4.08503 + 1.83027i −0.164724 + 0.0738036i
\(616\) −30.0005 21.0136i −1.20875 0.846661i
\(617\) −4.58963 + 34.8617i −0.184772 + 1.40348i 0.607988 + 0.793946i \(0.291977\pi\)
−0.792760 + 0.609534i \(0.791356\pi\)
\(618\) −32.8031 32.8434i −1.31953 1.32116i
\(619\) 10.0576 + 4.95987i 0.404250 + 0.199354i 0.633035 0.774123i \(-0.281809\pi\)
−0.228786 + 0.973477i \(0.573475\pi\)
\(620\) −1.33921 + 3.29984i −0.0537839 + 0.132525i
\(621\) 15.1572 + 25.0735i 0.608236 + 1.00617i
\(622\) −35.9252 + 11.0385i −1.44047 + 0.442605i
\(623\) −5.44839 1.45989i −0.218285 0.0584893i
\(624\) −7.26232 + 13.9246i −0.290726 + 0.557429i
\(625\) −21.8532 + 5.85554i −0.874127 + 0.234222i
\(626\) −9.27045 + 5.81091i −0.370522 + 0.232251i
\(627\) −19.3137 + 30.7702i −0.771316 + 1.22884i
\(628\) −8.02295 2.08822i −0.320151 0.0833292i
\(629\) −3.50560 5.24650i −0.139777 0.209191i
\(630\) −2.65742 + 2.81006i −0.105874 + 0.111956i
\(631\) −12.0567 29.1075i −0.479971 1.15875i −0.959622 0.281293i \(-0.909237\pi\)
0.479651 0.877459i \(-0.340763\pi\)
\(632\) −29.0709 17.6469i −1.15638 0.701955i
\(633\) 10.6025 14.6654i 0.421413 0.582897i
\(634\) −15.2804 40.1618i −0.606861 1.59503i
\(635\) −1.76580 + 2.01351i −0.0700738 + 0.0799039i
\(636\) −2.23186 + 4.96499i −0.0884991 + 0.196875i
\(637\) 0.268270 4.09301i 0.0106293 0.162171i
\(638\) 6.68519 70.4639i 0.264669 2.78969i
\(639\) −9.45076 + 6.20065i −0.373866 + 0.245294i
\(640\) −3.42625 + 2.95875i −0.135434 + 0.116955i
\(641\) 2.42707 + 4.20381i 0.0958636 + 0.166041i 0.909969 0.414677i \(-0.136105\pi\)
−0.814105 + 0.580718i \(0.802772\pi\)
\(642\) 13.4238 + 15.3259i 0.529795 + 0.604865i
\(643\) −13.3789 + 6.59776i −0.527614 + 0.260190i −0.686530 0.727102i \(-0.740867\pi\)
0.158916 + 0.987292i \(0.449200\pi\)
\(644\) 19.4374 + 16.8012i 0.765939 + 0.662059i
\(645\) −0.763651 8.10207i −0.0300687 0.319019i
\(646\) 6.81927 + 1.10077i 0.268300 + 0.0433094i
\(647\) 13.9808 33.7526i 0.549641 1.32695i −0.368106 0.929784i \(-0.619994\pi\)
0.917747 0.397166i \(-0.130006\pi\)
\(648\) 25.3479 2.34199i 0.995759 0.0920019i
\(649\) −8.50126 20.5239i −0.333704 0.805632i
\(650\) −15.0972 + 3.57726i −0.592160 + 0.140312i
\(651\) 11.1970 13.5274i 0.438847 0.530181i
\(652\) −0.739864 2.68410i −0.0289753 0.105118i
\(653\) 9.10891 26.8340i 0.356459 1.05009i −0.609807 0.792550i \(-0.708753\pi\)
0.966266 0.257545i \(-0.0829136\pi\)
\(654\) 2.04111 0.691466i 0.0798138 0.0270384i
\(655\) 1.53754 5.73817i 0.0600766 0.224209i
\(656\) 25.8329 0.370354i 1.00860 0.0144599i
\(657\) 8.81186 42.4348i 0.343783 1.65554i
\(658\) −21.2741 + 6.53676i −0.829349 + 0.254830i
\(659\) 34.8785 30.5876i 1.35867 1.19152i 0.396839 0.917888i \(-0.370107\pi\)
0.961833 0.273636i \(-0.0882262\pi\)
\(660\) 4.57015 6.41779i 0.177893 0.249812i
\(661\) −2.09324 31.9367i −0.0814178 1.24219i −0.821708 0.569908i \(-0.806979\pi\)
0.740291 0.672287i \(-0.234688\pi\)
\(662\) 0.482671 16.5586i 0.0187595 0.643568i
\(663\) −5.13096 + 0.825011i −0.199270 + 0.0320408i
\(664\) 9.50171 + 20.3848i 0.368738 + 0.791085i
\(665\) 3.10781 + 1.28730i 0.120516 + 0.0499192i
\(666\) −7.21522 + 18.8940i −0.279584 + 0.732129i
\(667\) −9.68587 + 48.6941i −0.375038 + 1.88544i
\(668\) 2.55087 43.7181i 0.0986962 1.69150i
\(669\) 0.548477 + 2.39777i 0.0212053 + 0.0927030i
\(670\) 0.582041 + 3.44843i 0.0224862 + 0.133224i
\(671\) 16.4868 + 9.51867i 0.636467 + 0.367464i
\(672\) 20.5040 8.82452i 0.790957 0.340413i
\(673\) −14.4487 + 8.34194i −0.556955 + 0.321558i −0.751922 0.659252i \(-0.770873\pi\)
0.194968 + 0.980810i \(0.437540\pi\)
\(674\) 20.4364 + 24.7206i 0.787180 + 0.952202i
\(675\) 18.1372 + 17.4214i 0.698103 + 0.670549i
\(676\) 15.3990 3.17797i 0.592271 0.122230i
\(677\) 7.88054 2.67508i 0.302874 0.102812i −0.165866 0.986148i \(-0.553042\pi\)
0.468739 + 0.883337i \(0.344708\pi\)
\(678\) −14.0062 33.8728i −0.537905 1.30088i
\(679\) −18.1392 + 13.9187i −0.696119 + 0.534151i
\(680\) −1.46247 0.324463i −0.0560833 0.0124426i
\(681\) −7.16450 + 18.7959i −0.274544 + 0.720259i
\(682\) −18.7812 + 30.4454i −0.719170 + 1.16582i
\(683\) 31.1078 20.7856i 1.19031 0.795338i 0.207188 0.978301i \(-0.433569\pi\)
0.983120 + 0.182963i \(0.0585688\pi\)
\(684\) −9.76802 19.8691i −0.373490 0.759715i
\(685\) 1.07622 + 5.41055i 0.0411204 + 0.206726i
\(686\) −19.3286 + 20.7857i −0.737970 + 0.793604i
\(687\) −10.8590 + 6.68950i −0.414297 + 0.255220i
\(688\) −14.4587 + 44.6885i −0.551231 + 1.70373i
\(689\) −3.44066 + 0.921923i −0.131079 + 0.0351225i
\(690\) −3.64639 + 4.15276i −0.138816 + 0.158093i
\(691\) −24.2748 27.6801i −0.923455 1.05300i −0.998441 0.0558143i \(-0.982225\pi\)
0.0749860 0.997185i \(-0.476109\pi\)
\(692\) 0.00345050 + 0.481383i 0.000131168 + 0.0182994i
\(693\) −31.0190 + 23.3906i −1.17832 + 0.888534i
\(694\) −20.0181 5.99417i −0.759877 0.227536i
\(695\) −0.929908 + 1.21188i −0.0352734 + 0.0459692i
\(696\) 34.3934 + 26.0347i 1.30368 + 0.986843i
\(697\) 5.20450 + 6.78264i 0.197135 + 0.256911i
\(698\) 24.3213 9.25353i 0.920574 0.350251i
\(699\) 3.49102 + 37.0385i 0.132043 + 1.40093i
\(700\) 19.8482 + 9.61180i 0.750191 + 0.363292i
\(701\) 19.0077 + 12.7006i 0.717912 + 0.479693i 0.860086 0.510148i \(-0.170410\pi\)
−0.142175 + 0.989842i \(0.545410\pi\)
\(702\) 11.6718 + 11.8841i 0.440525 + 0.448537i
\(703\) 17.5907 0.663445
\(704\) −38.8828 + 23.5780i −1.46545 + 0.888629i
\(705\) −1.37042 4.58689i −0.0516128 0.172752i
\(706\) −5.11569 + 7.19325i −0.192532 + 0.270721i
\(707\) 13.9064 6.85786i 0.523002 0.257916i
\(708\) 13.3642 + 2.16569i 0.502256 + 0.0813916i
\(709\) 4.12263 + 12.1449i 0.154828 + 0.456110i 0.996472 0.0839232i \(-0.0267450\pi\)
−0.841644 + 0.540033i \(0.818412\pi\)
\(710\) −1.65295 1.34666i −0.0620341 0.0505391i
\(711\) −27.3181 + 23.5545i −1.02451 + 0.883363i
\(712\) −4.38402 + 5.46062i −0.164298 + 0.204645i
\(713\) 15.2751 19.9069i 0.572057 0.745520i
\(714\) 6.39484 + 3.69730i 0.239321 + 0.138368i
\(715\) 5.14447 0.337187i 0.192392 0.0126101i
\(716\) −15.8529 + 27.9183i −0.592450 + 1.04335i
\(717\) 5.14790 + 0.190165i 0.192252 + 0.00710183i
\(718\) 14.1063 0.512406i 0.526441 0.0191228i
\(719\) −20.2878 20.2878i −0.756607 0.756607i 0.219097 0.975703i \(-0.429689\pi\)
−0.975703 + 0.219097i \(0.929689\pi\)
\(720\) 1.86379 + 4.42508i 0.0694594 + 0.164913i
\(721\) −30.5287 + 30.5287i −1.13695 + 1.13695i
\(722\) 5.18445 5.57530i 0.192945 0.207491i
\(723\) 13.9674 + 8.76702i 0.519453 + 0.326049i
\(724\) 38.8633 + 4.83332i 1.44434 + 0.179629i
\(725\) 2.78720 + 42.5245i 0.103514 + 1.57932i
\(726\) 36.9314 36.8860i 1.37065 1.36897i
\(727\) −24.4468 18.7587i −0.906683 0.695722i 0.0462416 0.998930i \(-0.485276\pi\)
−0.952924 + 0.303208i \(0.901942\pi\)
\(728\) 12.9553 + 6.74669i 0.480156 + 0.250049i
\(729\) 5.93280 26.3401i 0.219733 0.975560i
\(730\) 8.13266 0.830437i 0.301003 0.0307358i
\(731\) −14.7179 + 4.99606i −0.544362 + 0.184786i
\(732\) −10.2158 + 5.49951i −0.377586 + 0.203268i
\(733\) −13.1156 26.5958i −0.484436 0.982340i −0.992640 0.121103i \(-0.961357\pi\)
0.508204 0.861237i \(-0.330310\pi\)
\(734\) 43.0146 7.26020i 1.58770 0.267979i
\(735\) −0.911710 0.861124i −0.0336289 0.0317630i
\(736\) 28.8129 13.6824i 1.06206 0.504340i
\(737\) 35.1291i 1.29400i
\(738\) 8.08072 26.1842i 0.297455 0.963853i
\(739\) −15.8763 + 23.7605i −0.584018 + 0.874045i −0.999365 0.0356177i \(-0.988660\pi\)
0.415347 + 0.909663i \(0.363660\pi\)
\(740\) −3.80840 0.222213i −0.139999 0.00816871i
\(741\) 6.03455 13.1712i 0.221685 0.483854i
\(742\) 4.61919 + 2.07301i 0.169576 + 0.0761024i
\(743\) −0.105018 + 0.0805831i −0.00385274 + 0.00295631i −0.610686 0.791873i \(-0.709106\pi\)
0.606833 + 0.794829i \(0.292440\pi\)
\(744\) −9.77021 19.4890i −0.358193 0.714502i
\(745\) −4.67654 3.58844i −0.171335 0.131470i
\(746\) 44.5232 24.0037i 1.63011 0.878838i
\(747\) 23.6760 2.91497i 0.866261 0.106653i
\(748\) −13.9431 5.65868i −0.509810 0.206902i
\(749\) 14.2469 12.4942i 0.520570 0.456527i
\(750\) −4.27085 + 8.64703i −0.155950 + 0.315745i
\(751\) −10.6665 39.8080i −0.389227 1.45262i −0.831394 0.555683i \(-0.812457\pi\)
0.442167 0.896933i \(-0.354210\pi\)
\(752\) −3.21339 + 27.4426i −0.117180 + 1.00073i
\(753\) −4.35380 + 8.06376i −0.158661 + 0.293860i
\(754\) 1.02464 + 28.2078i 0.0373153 + 1.02727i
\(755\) 3.57132 0.710381i 0.129974 0.0258534i
\(756\) −2.19276 23.5746i −0.0797499 0.857400i
\(757\) 27.4857 + 41.1352i 0.998984 + 1.49509i 0.863527 + 0.504303i \(0.168250\pi\)
0.135457 + 0.990783i \(0.456750\pi\)
\(758\) 25.9177 6.14118i 0.941373 0.223058i
\(759\) −43.0594 + 35.0364i −1.56296 + 1.27174i
\(760\) 3.01719 2.88742i 0.109445 0.104738i
\(761\) −7.89381 10.2874i −0.286150 0.372919i 0.628055 0.778169i \(-0.283851\pi\)
−0.914206 + 0.405250i \(0.867184\pi\)
\(762\) −2.12994 16.2557i −0.0771597 0.588883i
\(763\) −0.644296 1.89803i −0.0233251 0.0687134i
\(764\) 52.6812 + 10.0869i 1.90594 + 0.364933i
\(765\) −0.805978 + 1.36931i −0.0291402 + 0.0495076i
\(766\) 3.89125 41.0150i 0.140597 1.48193i
\(767\) 4.42952 + 7.67216i 0.159941 + 0.277025i
\(768\) 0.228695 27.7119i 0.00825231 0.999966i
\(769\) 12.9017 22.3464i 0.465248 0.805833i −0.533965 0.845507i \(-0.679299\pi\)
0.999213 + 0.0396737i \(0.0126318\pi\)
\(770\) −5.97177 4.24700i −0.215208 0.153051i
\(771\) 25.1175 + 27.0443i 0.904583 + 0.973978i
\(772\) 8.64967 + 24.8935i 0.311308 + 0.895935i