Properties

Label 576.2.bm.a.205.82
Level $576$
Weight $2$
Character 576.205
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

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 205.82
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.82

$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

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 0.807817 0.589433i \(-0.200649\pi\)
−0.689831 + 0.723970i \(0.742315\pi\)
\(6\) 0.318230 2.42873i 0.129917 0.991525i
\(7\) 2.25877 + 0.297372i 0.853734 + 0.112396i 0.544676 0.838647i \(-0.316653\pi\)
0.309058 + 0.951043i \(0.399986\pi\)
\(8\) 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 0.841305 + 0.540560i \(0.181788\pi\)
−0.0832989 + 0.996525i \(0.526546\pi\)
\(12\) 1.83801 2.93628i 0.530587 0.847630i
\(13\) −0.728628 2.14647i −0.202085 0.595323i 0.797887 0.602807i \(-0.205951\pi\)
−0.999972 + 0.00748389i \(0.997618\pi\)
\(14\) 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 0.811440 0.584435i \(-0.198684\pi\)
−0.584435 + 0.811440i \(0.698684\pi\)
\(18\) −4.18260 + 0.711247i −0.985848 + 0.167643i
\(19\) 0.719896 3.61916i 0.165155 0.830292i −0.806013 0.591898i \(-0.798379\pi\)
0.971168 0.238395i \(-0.0766211\pi\)
\(20\) −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 −0.878772 0.477241i \(-0.841637\pi\)
0.725310 0.688422i \(-0.241696\pi\)
\(24\) 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 0.778118 0.628118i \(-0.216175\pi\)
0.853447 + 0.521180i \(0.174508\pi\)
\(30\) 0.814602 0.545024i 0.148725 0.0995073i
\(31\) −3.85389 + 2.22504i −0.692179 + 0.399630i −0.804428 0.594050i \(-0.797528\pi\)
0.112249 + 0.993680i \(0.464195\pi\)
\(32\) −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 0.978798 + 0.204830i \(0.0656641\pi\)
−0.825906 + 0.563808i \(0.809336\pi\)
\(38\) 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 −0.921941 0.387330i \(-0.873397\pi\)
0.790278 0.612748i \(-0.209936\pi\)
\(42\) 1.44104 5.39131i 0.222358 0.831896i
\(43\) −10.5314 + 5.19350i −1.60602 + 0.792001i −0.999994 0.00344539i \(-0.998903\pi\)
−0.606024 + 0.795446i \(0.707237\pi\)
\(44\) −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 −0.710193 0.704007i \(-0.751392\pi\)
−0.263041 + 0.964785i \(0.584726\pi\)
\(48\) 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 −0.766653 0.642062i \(-0.778079\pi\)
0.886573 + 0.462588i \(0.153079\pi\)
\(54\) 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 0.894843 0.446381i \(-0.147287\pi\)
−0.559362 + 0.828923i \(0.688954\pi\)
\(60\) 1.36824 0.221727i 0.176640 0.0286248i
\(61\) −0.219049 3.34204i −0.0280464 0.427905i −0.988675 0.150070i \(-0.952050\pi\)
0.960629 0.277834i \(-0.0896167\pi\)
\(62\) −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 0.0709760 0.997478i \(-0.477389\pi\)
−0.748145 + 0.663535i \(0.769055\pi\)
\(68\) −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 0.986052 0.166439i \(-0.0532269\pi\)
−0.814934 + 0.579554i \(0.803227\pi\)
\(72\) −6.54652 5.39843i −0.771515 0.636212i
\(73\) 5.52850 13.3470i 0.647063 1.56215i −0.169903 0.985461i \(-0.554345\pi\)
0.816966 0.576686i \(-0.195655\pi\)
\(74\) −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 0.886517 + 0.462697i \(0.153118\pi\)
−0.536397 + 0.843966i \(0.680215\pi\)
\(80\) −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 0.265144 0.964209i \(-0.414580\pi\)
−0.921351 + 0.388731i \(0.872914\pi\)
\(84\) 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 −0.500605 0.865676i \(-0.666889\pi\)
0.258144 + 0.966106i \(0.416889\pi\)
\(90\) −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 −0.0109892 0.999940i \(-0.503498\pi\)
−0.871468 + 0.490453i \(0.836831\pi\)
\(98\) −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 0.623084 0.782155i \(-0.285879\pi\)
0.0181800 + 0.999835i \(0.494213\pi\)
\(102\) 2.57106 1.97535i 0.254573 0.195589i
\(103\) −15.0345 11.5363i −1.48139 1.13671i −0.958785 0.284134i \(-0.908294\pi\)
−0.522604 0.852576i \(-0.675039\pi\)
\(104\) 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 0.842977 0.537950i \(-0.180801\pi\)
−0.174408 + 0.984673i \(0.555801\pi\)
\(108\) 0.396400 + 10.3847i 0.0381436 + 0.999272i
\(109\) −0.171640 + 0.862893i −0.0164401 + 0.0826502i −0.988134 0.153592i \(-0.950916\pi\)
0.971694 + 0.236242i \(0.0759159\pi\)
\(110\) −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 −0.496017 0.868313i \(-0.665205\pi\)
−0.863720 + 0.503973i \(0.831871\pi\)
\(114\) −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 0.918339 0.395795i \(-0.129531\pi\)
0.245044 + 0.969512i \(0.421197\pi\)
\(132\) 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 0.282639 0.959226i \(-0.408790\pi\)
−0.999694 + 0.0247424i \(0.992123\pi\)
\(138\) −13.8116 + 0.00848970i −1.17572 + 0.000722692i
\(139\) −3.80943 0.249683i −0.323112 0.0211779i −0.0970157 0.995283i \(-0.530930\pi\)
−0.226096 + 0.974105i \(0.572596\pi\)
\(140\) −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 0.756235 + 0.654300i \(0.227037\pi\)
−0.835169 + 0.549994i \(0.814630\pi\)
\(150\) −11.4532 3.06133i −0.935150 0.249957i
\(151\) 7.21972 5.53988i 0.587532 0.450829i −0.271724 0.962375i \(-0.587594\pi\)
0.859256 + 0.511546i \(0.170927\pi\)
\(152\) 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 −0.957677 0.287846i \(-0.907061\pi\)
0.811360 + 0.584547i \(0.198728\pi\)
\(158\) −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 0.860522 0.509413i \(-0.170137\pi\)
−0.799944 + 0.600075i \(0.795137\pi\)
\(164\) 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 0.995550 + 0.0942369i \(0.0300411\pi\)
0.348693 + 0.937237i \(0.386626\pi\)
\(168\) 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 0.652439 0.757841i \(-0.273746\pi\)
−0.666198 + 0.745775i \(0.732079\pi\)
\(174\) 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 −0.432301 0.901729i \(-0.642298\pi\)
−0.744471 + 0.667654i \(0.767298\pi\)
\(180\) −1.06449 2.15189i −0.0793421 0.160392i
\(181\) 10.8788 16.2813i 0.808615 1.21018i −0.165963 0.986132i \(-0.553073\pi\)
0.974579 0.224046i \(-0.0719267\pi\)
\(182\) 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 0.275576 0.961279i \(-0.411131\pi\)
0.694704 0.719296i \(-0.255535\pi\)
\(192\) 10.5574 + 8.97444i 0.761917 + 0.647674i
\(193\) −6.58835 11.4113i −0.474240 0.821407i 0.525325 0.850901i \(-0.323944\pi\)
−0.999565 + 0.0294945i \(0.990610\pi\)
\(194\) −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 −0.473545 0.880770i \(-0.657026\pi\)
−0.100443 + 0.994943i \(0.532026\pi\)
\(198\) −14.1410 19.5345i −1.00496 1.38826i
\(199\) 6.45115 + 15.5744i 0.457310 + 1.10404i 0.969482 + 0.245161i \(0.0788407\pi\)
−0.512173 + 0.858882i \(0.671159\pi\)
\(200\) 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 −0.640485 0.767971i \(-0.721266\pi\)
−0.0406194 + 0.999175i \(0.512933\pi\)
\(212\) 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 0.540613 0.841272i \(-0.318192\pi\)
−0.458256 + 0.888820i \(0.651526\pi\)
\(224\) −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 0.324229 0.945979i \(-0.394895\pi\)
0.444930 + 0.895565i \(0.353229\pi\)
\(228\) −9.30369 8.76586i −0.616152 0.580533i
\(229\) 5.53624 4.85515i 0.365845 0.320837i −0.456611 0.889667i \(-0.650937\pi\)
0.822456 + 0.568829i \(0.192603\pi\)
\(230\) 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 0.921957 0.387291i \(-0.126589\pi\)
0.378066 + 0.925779i \(0.376589\pi\)
\(234\) 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 −0.986343 0.164705i \(-0.947333\pi\)
0.936551 + 0.350533i \(0.113999\pi\)
\(240\) 2.12499 + 1.78029i 0.137168 + 0.114917i
\(241\) 2.46422 + 9.19659i 0.158734 + 0.592404i 0.998757 + 0.0498526i \(0.0158751\pi\)
−0.840022 + 0.542552i \(0.817458\pi\)
\(242\) −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 −0.0285816 0.999591i \(-0.509099\pi\)
0.356121 + 0.934440i \(0.384099\pi\)
\(252\) −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 0.979387 + 0.201993i \(0.0647419\pi\)
−0.314762 + 0.949171i \(0.601925\pi\)
\(258\) 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 0.294685 0.955594i \(-0.404785\pi\)
0.0373180 + 0.999303i \(0.488119\pi\)
\(264\) 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 −0.329883 0.944022i \(-0.607009\pi\)
−0.666034 + 0.745922i \(0.732009\pi\)
\(270\) −1.10070 + 2.72656i −0.0669862 + 0.165933i
\(271\) −1.32975 + 1.32975i −0.0807766 + 0.0807766i −0.746341 0.665564i \(-0.768191\pi\)
0.665564 + 0.746341i \(0.268191\pi\)
\(272\) −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 −0.0558217 0.998441i \(-0.517778\pi\)
0.758134 + 0.652099i \(0.226111\pi\)
\(278\) −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 −0.973029 0.230681i \(-0.925905\pi\)
0.999579 + 0.0290176i \(0.00923788\pi\)
\(282\) 2.21880 + 16.7738i 0.132128 + 0.998865i
\(283\) −7.80561 + 6.84534i −0.463996 + 0.406913i −0.859168 0.511694i \(-0.829018\pi\)
0.395172 + 0.918607i \(0.370685\pi\)
\(284\) −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 −0.802385 0.596807i \(-0.796436\pi\)
0.486969 + 0.873419i \(0.338103\pi\)
\(294\) −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 −0.490869 0.871233i \(-0.663321\pi\)
−0.786910 + 0.617067i \(0.788321\pi\)
\(308\) −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 −0.832840 0.553514i \(-0.813287\pi\)
−0.661202 + 0.750208i \(0.729953\pi\)
\(312\) −8.76557 6.81778i −0.496253 0.385981i
\(313\) −7.67035 1.00982i −0.433554 0.0570784i −0.0894089 0.995995i \(-0.528498\pi\)
−0.344145 + 0.938917i \(0.611831\pi\)
\(314\) −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 0.576132 + 0.817356i \(0.304561\pi\)
−0.464517 + 0.885564i \(0.653772\pi\)
\(318\) −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 0.991511 0.130022i \(-0.0415049\pi\)
−0.706747 + 0.707466i \(0.749838\pi\)
\(332\) 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 −0.599719 0.800211i \(-0.704721\pi\)
0.919477 0.393144i \(-0.128613\pi\)
\(338\) 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 −0.903456 0.428680i \(-0.858979\pi\)
0.307088 + 0.951681i \(0.400645\pi\)
\(348\) 14.4582 26.8573i 0.775043 1.43970i
\(349\) 18.3610 1.20345i 0.982844 0.0644190i 0.434500 0.900672i \(-0.356925\pi\)
0.548344 + 0.836253i \(0.315258\pi\)
\(350\) 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 0.349206 0.937046i \(-0.386451\pi\)
−0.636902 + 0.770945i \(0.719785\pi\)
\(354\) 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 −0.125826 0.992052i \(-0.540158\pi\)
0.612515 + 0.790459i \(0.290158\pi\)
\(360\) −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 0.624122 0.781327i \(-0.285457\pi\)
0.931169 + 0.364588i \(0.118790\pi\)
\(368\) 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 0.948676 0.316250i \(-0.102424\pi\)
0.899281 + 0.437371i \(0.144090\pi\)
\(374\) −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 0.303677 0.952775i \(-0.401786\pi\)
0.645172 + 0.764037i \(0.276786\pi\)
\(380\) 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 0.950525 + 0.310649i \(0.100547\pi\)
−0.206232 + 0.978503i \(0.566120\pi\)
\(384\) 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 −0.913100 0.407735i \(-0.866319\pi\)
0.972625 + 0.232382i \(0.0746521\pi\)
\(390\) −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 0.647196 0.762324i \(-0.275942\pi\)
0.306203 + 0.951966i \(0.400942\pi\)
\(398\) −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 −0.920106 0.391669i \(-0.871898\pi\)
0.992670 + 0.120858i \(0.0385645\pi\)
\(402\) −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 0.177116 0.984190i \(-0.443323\pi\)
−0.904814 + 0.425808i \(0.859990\pi\)
\(410\) 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 −0.572746 0.819733i \(-0.694122\pi\)
0.999003 0.0446320i \(-0.0142115\pi\)
\(420\) 3.15648 0.0939511i 0.154021 0.00458434i
\(421\) −11.8005 4.00573i −0.575121 0.195227i 0.0186992 0.999825i \(-0.494048\pi\)
−0.593820 + 0.804598i \(0.702381\pi\)
\(422\) −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 0.906373 0.422478i \(-0.138840\pi\)
−0.422478 + 0.906373i \(0.638840\pi\)
\(432\) −15.1946 + 14.1818i −0.731052 + 0.682321i
\(433\) 3.46735 3.46735i 0.166630 0.166630i −0.618866 0.785496i \(-0.712408\pi\)
0.785496 + 0.618866i \(0.212408\pi\)
\(434\) −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 0.980837 0.194832i \(-0.0624162\pi\)
−0.442052 + 0.896989i \(0.645749\pi\)
\(440\) −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 0.786522 + 0.617562i \(0.211880\pi\)
−0.999938 + 0.0111409i \(0.996454\pi\)
\(444\) 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 0.831445 0.555607i \(-0.187514\pi\)
−0.751869 + 0.659313i \(0.770847\pi\)
\(458\) 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 0.112464 + 0.993656i \(0.464126\pi\)
−0.999834 + 0.0181959i \(0.994208\pi\)
\(462\) 31.1073 6.20751i 1.44724 0.288800i
\(463\) 12.2444 + 3.28089i 0.569048 + 0.152476i 0.531860 0.846832i \(-0.321493\pi\)
0.0371879 + 0.999308i \(0.488160\pi\)
\(464\) −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 −0.826148 0.563452i \(-0.809473\pi\)
0.978886 0.204409i \(-0.0655272\pi\)
\(468\) 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 0.00752915 0.999972i \(-0.497603\pi\)
−0.862236 + 0.506506i \(0.830937\pi\)
\(480\) 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 −0.870357 0.492421i \(-0.836112\pi\)
−0.267242 + 0.963630i \(0.586112\pi\)
\(488\) 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 0.913783 + 0.406203i \(0.133147\pi\)
−0.958985 + 0.283455i \(0.908519\pi\)
\(492\) −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 0.895630 0.444800i \(-0.146725\pi\)
−0.981328 + 0.192341i \(0.938392\pi\)
\(500\) 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 −0.925043 0.379863i \(-0.875971\pi\)
0.922708 + 0.385501i \(0.125971\pi\)
\(504\) −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 0.492314 0.870418i \(-0.336151\pi\)
−0.390847 + 0.920456i \(0.627818\pi\)
\(510\) 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 0.169209 + 0.985580i \(0.445879\pi\)
−0.816559 + 0.577262i \(0.804121\pi\)
\(522\) −36.3397 + 8.65787i −1.59055 + 0.378945i
\(523\) −4.29786 + 6.43220i −0.187932 + 0.281260i −0.913457 0.406936i \(-0.866597\pi\)
0.725524 + 0.688196i \(0.241597\pi\)
\(524\) 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 0.961820 0.273685i \(-0.0882424\pi\)
−0.620924 + 0.783871i \(0.713242\pi\)
\(542\) −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 −0.181982 0.983302i \(-0.558251\pi\)
−0.0520782 + 0.998643i \(0.516585\pi\)
\(548\) 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 −0.995225 0.0976098i \(-0.968880\pi\)
0.956821 + 0.290676i \(0.0938803\pi\)
\(558\) 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 −0.977809 0.209497i \(-0.932817\pi\)
0.648215 0.761458i \(-0.275516\pi\)
\(564\) −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 0.464751 0.885441i \(-0.346144\pi\)
0.219746 + 0.975557i \(0.429477\pi\)
\(570\) −1.38610 3.34054i −0.0580574 0.139920i
\(571\) −7.08994 8.08452i −0.296705 0.338327i 0.584210 0.811603i \(-0.301405\pi\)
−0.880914 + 0.473276i \(0.843071\pi\)
\(572\) 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 −0.926814 0.375520i \(-0.877464\pi\)
0.266289 0.963893i \(-0.414203\pi\)
\(588\) −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 0.706532 0.707681i \(-0.250259\pi\)
−0.707681 + 0.706532i \(0.750259\pi\)
\(594\) −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 −0.993979 0.109567i \(-0.965054\pi\)
0.931752 0.363094i \(-0.118280\pi\)
\(600\) −10.3473 21.3336i −0.422428 0.870941i
\(601\) −6.09035 + 46.2608i −0.248431 + 1.88702i 0.180339 + 0.983605i \(0.442281\pi\)
−0.428770 + 0.903414i \(0.641053\pi\)
\(602\) −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 0.579606 0.814897i \(-0.303206\pi\)
0.995524 0.0945056i \(-0.0301270\pi\)
\(608\) 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 0.989089 0.147319i \(-0.0470645\pi\)
−0.970176 + 0.242402i \(0.922065\pi\)
\(614\) −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 −0.792760 0.609534i \(-0.791356\pi\)
0.607988 0.793946i \(-0.291977\pi\)
\(618\) −32.8031 + 32.8434i −1.31953 + 1.32116i
\(619\) 10.0576 4.95987i 0.404250 0.199354i −0.228786 0.973477i \(-0.573475\pi\)
0.633035 + 0.774123i \(0.281809\pi\)
\(620\) −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 0.479651 + 0.877459i \(0.340763\pi\)
−0.959622 + 0.281293i \(0.909237\pi\)
\(632\) −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 −0.814105 0.580718i \(-0.802772\pi\)
0.909969 + 0.414677i \(0.136105\pi\)
\(642\) 13.4238 15.3259i 0.529795 0.604865i
\(643\) −13.3789 6.59776i −0.527614 0.260190i 0.158916 0.987292i \(-0.449200\pi\)
−0.686530 + 0.727102i \(0.740867\pi\)
\(644\) 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 0.917747 + 0.397166i \(0.130006\pi\)
−0.368106 + 0.929784i \(0.619994\pi\)
\(648\) 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 0.966266 + 0.257545i \(0.0829136\pi\)
−0.609807 + 0.792550i \(0.708753\pi\)
\(654\) 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 0.961833 + 0.273636i \(0.0882262\pi\)
0.396839 + 0.917888i \(0.370107\pi\)
\(660\) 4.57015 + 6.41779i 0.177893 + 0.249812i
\(661\) −2.09324 + 31.9367i −0.0814178 + 1.24219i 0.740291 + 0.672287i \(0.234688\pi\)
−0.821708 + 0.569908i \(0.806979\pi\)
\(662\) 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 0.194968 0.980810i \(-0.437540\pi\)
−0.751922 + 0.659252i \(0.770873\pi\)
\(674\) 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 0.468739 0.883337i \(-0.344708\pi\)
−0.165866 + 0.986148i \(0.553042\pi\)
\(678\) −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 0.983120 0.182963i \(-0.0585688\pi\)
0.207188 + 0.978301i \(0.433569\pi\)
\(684\) −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 0.0749860 + 0.997185i \(0.476109\pi\)
−0.998441 + 0.0558143i \(0.982225\pi\)
\(692\) 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 −0.142175 0.989842i \(-0.545410\pi\)
0.860086 + 0.510148i \(0.170410\pi\)
\(702\) 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 −0.841644 0.540033i \(-0.818412\pi\)
0.996472 + 0.0839232i \(0.0267450\pi\)
\(710\) −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 −0.975703 0.219097i \(-0.929689\pi\)
0.219097 + 0.975703i \(0.429689\pi\)
\(720\) 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 −0.952924 0.303208i \(-0.901942\pi\)
0.0462416 + 0.998930i \(0.485276\pi\)
\(728\) 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 0.508204 + 0.861237i \(0.330310\pi\)
−0.992640 + 0.121103i \(0.961357\pi\)
\(734\) 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 0.415347 0.909663i \(-0.363660\pi\)
−0.999365 + 0.0356177i \(0.988660\pi\)
\(740\) −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 0.606833 0.794829i \(-0.292440\pi\)
−0.610686 + 0.791873i \(0.709106\pi\)
\(744\) −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 0.442167 + 0.896933i \(0.354210\pi\)
−0.831394 + 0.555683i \(0.812457\pi\)
\(752\) −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 0.135457 0.990783i \(-0.456750\pi\)
0.863527 0.504303i \(-0.168250\pi\)
\(758\) 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 −0.914206 0.405250i \(-0.867184\pi\)
0.628055 + 0.778169i \(0.283851\pi\)
\(762\) −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 0.999213 0.0396737i \(-0.0126318\pi\)
−0.533965 + 0.845507i \(0.679299\pi\)
\(770\) −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