Properties

Label 384.2.v.a.253.13
Level $384$
Weight $2$
Character 384.253
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.v (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 253.13
Character \(\chi\) \(=\) 384.253
Dual form 384.2.v.a.85.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.540446 + 1.30687i) q^{2} +(0.634393 + 0.773010i) q^{3} +(-1.41584 - 1.41259i) q^{4} +(-3.76594 - 1.14238i) q^{5} +(-1.35308 + 0.411302i) q^{6} +(5.02585 - 0.999703i) q^{7} +(2.61126 - 1.08689i) q^{8} +(-0.195090 + 0.980785i) q^{9} +O(q^{10})\) \(q+(-0.540446 + 1.30687i) q^{2} +(0.634393 + 0.773010i) q^{3} +(-1.41584 - 1.41259i) q^{4} +(-3.76594 - 1.14238i) q^{5} +(-1.35308 + 0.411302i) q^{6} +(5.02585 - 0.999703i) q^{7} +(2.61126 - 1.08689i) q^{8} +(-0.195090 + 0.980785i) q^{9} +(3.52824 - 4.30421i) q^{10} +(4.06125 - 0.399998i) q^{11} +(0.193748 - 1.99059i) q^{12} +(-0.709129 - 2.33768i) q^{13} +(-1.40971 + 7.10843i) q^{14} +(-1.50601 - 3.63583i) q^{15} +(0.00918989 + 3.99999i) q^{16} +(-1.18238 + 2.85451i) q^{17} +(-1.17633 - 0.785019i) q^{18} +(1.81765 + 0.971557i) q^{19} +(3.71824 + 6.93715i) q^{20} +(3.96114 + 3.25083i) q^{21} +(-1.67214 + 5.52371i) q^{22} +(2.07867 + 3.11095i) q^{23} +(2.49674 + 1.32901i) q^{24} +(8.71990 + 5.82645i) q^{25} +(3.43830 + 0.336649i) q^{26} +(-0.881921 + 0.471397i) q^{27} +(-8.52795 - 5.68404i) q^{28} +(0.754197 - 7.65749i) q^{29} +(5.56549 - 0.00319664i) q^{30} +(1.31544 - 1.31544i) q^{31} +(-5.23245 - 2.14977i) q^{32} +(2.88563 + 2.88563i) q^{33} +(-3.09148 - 3.08793i) q^{34} +(-20.0691 - 1.97663i) q^{35} +(1.66166 - 1.11305i) q^{36} +(1.00278 + 1.87607i) q^{37} +(-2.25205 + 1.85037i) q^{38} +(1.35719 - 2.03117i) q^{39} +(-11.0755 + 1.11011i) q^{40} +(-0.465749 + 0.311203i) q^{41} +(-6.38920 + 3.41982i) q^{42} +(4.07158 - 4.96124i) q^{43} +(-6.31510 - 5.17054i) q^{44} +(1.85513 - 3.47071i) q^{45} +(-5.18903 + 1.03526i) q^{46} +(8.31103 + 3.44254i) q^{47} +(-3.08620 + 2.54467i) q^{48} +(17.7926 - 7.36993i) q^{49} +(-12.3271 + 8.24693i) q^{50} +(-2.95666 + 0.896893i) q^{51} +(-2.29817 + 4.31149i) q^{52} +(-0.366200 - 3.71809i) q^{53} +(-0.139426 - 1.40732i) q^{54} +(-15.7514 - 3.13314i) q^{55} +(12.0372 - 8.07304i) q^{56} +(0.402084 + 2.02142i) q^{57} +(9.59977 + 5.12410i) q^{58} +(0.620862 - 2.04671i) q^{59} +(-3.00367 + 7.27512i) q^{60} +(-1.85378 + 1.52136i) q^{61} +(1.00819 + 2.43004i) q^{62} +5.12431i q^{63} +(5.63733 - 5.67632i) q^{64} +9.61367i q^{65} +(-5.33068 + 2.21163i) q^{66} +(-10.0924 + 8.28263i) q^{67} +(5.70630 - 2.37131i) q^{68} +(-1.08610 + 3.58040i) q^{69} +(13.4295 - 25.1595i) q^{70} +(-1.13357 - 5.69887i) q^{71} +(0.556578 + 2.77312i) q^{72} +(-3.80329 - 0.756522i) q^{73} +(-2.99373 + 0.296593i) q^{74} +(1.02794 + 10.4368i) q^{75} +(-1.20109 - 3.94316i) q^{76} +(20.0113 - 6.07037i) q^{77} +(1.92100 + 2.87141i) q^{78} +(-1.75819 + 0.728267i) q^{79} +(4.53492 - 15.0742i) q^{80} +(-0.923880 - 0.382683i) q^{81} +(-0.154992 - 0.776863i) q^{82} +(-1.95865 + 3.66437i) q^{83} +(-1.01626 - 10.1981i) q^{84} +(7.71371 - 9.39919i) q^{85} +(4.28324 + 8.00232i) q^{86} +(6.39778 - 4.27486i) q^{87} +(10.1702 - 5.45864i) q^{88} +(-7.24931 + 10.8494i) q^{89} +(3.53318 + 4.30015i) q^{90} +(-5.90096 - 11.0399i) q^{91} +(1.45143 - 7.34091i) q^{92} +(1.85136 + 0.182343i) q^{93} +(-8.99062 + 9.00096i) q^{94} +(-5.73528 - 5.73528i) q^{95} +(-1.65764 - 5.40853i) q^{96} +(-7.28783 + 7.28783i) q^{97} +(0.0156433 + 27.2357i) q^{98} +(-0.399998 + 4.06125i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512q + O(q^{10}) \) \( 512q - 96q^{50} - 96q^{52} - 32q^{54} - 224q^{56} - 192q^{60} - 192q^{62} - 192q^{64} - 192q^{66} - 192q^{68} - 192q^{70} - 224q^{74} - 32q^{76} - 96q^{78} - 96q^{80} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{32}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.540446 + 1.30687i −0.382153 + 0.924099i
\(3\) 0.634393 + 0.773010i 0.366267 + 0.446298i
\(4\) −1.41584 1.41259i −0.707919 0.706294i
\(5\) −3.76594 1.14238i −1.68418 0.510890i −0.704202 0.710000i \(-0.748695\pi\)
−0.979977 + 0.199110i \(0.936195\pi\)
\(6\) −1.35308 + 0.411302i −0.552393 + 0.167913i
\(7\) 5.02585 0.999703i 1.89959 0.377852i 0.901143 0.433523i \(-0.142730\pi\)
0.998449 + 0.0556705i \(0.0177296\pi\)
\(8\) 2.61126 1.08689i 0.923219 0.384275i
\(9\) −0.195090 + 0.980785i −0.0650301 + 0.326928i
\(10\) 3.52824 4.30421i 1.11573 1.36111i
\(11\) 4.06125 0.399998i 1.22451 0.120604i 0.534983 0.844863i \(-0.320318\pi\)
0.689528 + 0.724259i \(0.257818\pi\)
\(12\) 0.193748 1.99059i 0.0559302 0.574635i
\(13\) −0.709129 2.33768i −0.196677 0.648357i −0.998696 0.0510581i \(-0.983741\pi\)
0.802019 0.597299i \(-0.203759\pi\)
\(14\) −1.40971 + 7.10843i −0.376761 + 1.89981i
\(15\) −1.50601 3.63583i −0.388850 0.938768i
\(16\) 0.00918989 + 3.99999i 0.00229747 + 0.999997i
\(17\) −1.18238 + 2.85451i −0.286769 + 0.692321i −0.999963 0.00864586i \(-0.997248\pi\)
0.713194 + 0.700967i \(0.247248\pi\)
\(18\) −1.17633 0.785019i −0.277263 0.185031i
\(19\) 1.81765 + 0.971557i 0.416999 + 0.222890i 0.666533 0.745476i \(-0.267778\pi\)
−0.249534 + 0.968366i \(0.580278\pi\)
\(20\) 3.71824 + 6.93715i 0.831423 + 1.55119i
\(21\) 3.96114 + 3.25083i 0.864393 + 0.709389i
\(22\) −1.67214 + 5.52371i −0.356501 + 1.17766i
\(23\) 2.07867 + 3.11095i 0.433433 + 0.648678i 0.982318 0.187219i \(-0.0599476\pi\)
−0.548885 + 0.835898i \(0.684948\pi\)
\(24\) 2.49674 + 1.32901i 0.509646 + 0.271283i
\(25\) 8.71990 + 5.82645i 1.74398 + 1.16529i
\(26\) 3.43830 + 0.336649i 0.674307 + 0.0660224i
\(27\) −0.881921 + 0.471397i −0.169726 + 0.0907203i
\(28\) −8.52795 5.68404i −1.61163 1.07418i
\(29\) 0.754197 7.65749i 0.140051 1.42196i −0.626322 0.779564i \(-0.715440\pi\)
0.766373 0.642396i \(-0.222060\pi\)
\(30\) 5.56549 0.00319664i 1.01611 0.000583624i
\(31\) 1.31544 1.31544i 0.236261 0.236261i −0.579039 0.815300i \(-0.696572\pi\)
0.815300 + 0.579039i \(0.196572\pi\)
\(32\) −5.23245 2.14977i −0.924975 0.380029i
\(33\) 2.88563 + 2.88563i 0.502324 + 0.502324i
\(34\) −3.09148 3.08793i −0.530184 0.529575i
\(35\) −20.0691 1.97663i −3.39229 0.334112i
\(36\) 1.66166 1.11305i 0.276944 0.185508i
\(37\) 1.00278 + 1.87607i 0.164856 + 0.308424i 0.950762 0.309922i \(-0.100303\pi\)
−0.785906 + 0.618346i \(0.787803\pi\)
\(38\) −2.25205 + 1.85037i −0.365330 + 0.300170i
\(39\) 1.35719 2.03117i 0.217324 0.325248i
\(40\) −11.0755 + 1.11011i −1.75119 + 0.175524i
\(41\) −0.465749 + 0.311203i −0.0727377 + 0.0486018i −0.591407 0.806373i \(-0.701427\pi\)
0.518670 + 0.854975i \(0.326427\pi\)
\(42\) −6.38920 + 3.41982i −0.985876 + 0.527690i
\(43\) 4.07158 4.96124i 0.620910 0.756582i −0.363667 0.931529i \(-0.618476\pi\)
0.984578 + 0.174947i \(0.0559755\pi\)
\(44\) −6.31510 5.17054i −0.952037 0.779488i
\(45\) 1.85513 3.47071i 0.276547 0.517383i
\(46\) −5.18903 + 1.03526i −0.765081 + 0.152641i
\(47\) 8.31103 + 3.44254i 1.21229 + 0.502146i 0.894950 0.446166i \(-0.147211\pi\)
0.317338 + 0.948313i \(0.397211\pi\)
\(48\) −3.08620 + 2.54467i −0.445455 + 0.367292i
\(49\) 17.7926 7.36993i 2.54180 1.05285i
\(50\) −12.3271 + 8.24693i −1.74331 + 1.16629i
\(51\) −2.95666 + 0.896893i −0.414015 + 0.125590i
\(52\) −2.29817 + 4.31149i −0.318699 + 0.597896i
\(53\) −0.366200 3.71809i −0.0503015 0.510720i −0.987016 0.160624i \(-0.948649\pi\)
0.936714 0.350095i \(-0.113851\pi\)
\(54\) −0.139426 1.40732i −0.0189734 0.191513i
\(55\) −15.7514 3.13314i −2.12391 0.422472i
\(56\) 12.0372 8.07304i 1.60854 1.07881i
\(57\) 0.402084 + 2.02142i 0.0532574 + 0.267743i
\(58\) 9.59977 + 5.12410i 1.26051 + 0.672827i
\(59\) 0.620862 2.04671i 0.0808293 0.266459i −0.907206 0.420687i \(-0.861789\pi\)
0.988035 + 0.154228i \(0.0492891\pi\)
\(60\) −3.00367 + 7.27512i −0.387772 + 0.939214i
\(61\) −1.85378 + 1.52136i −0.237352 + 0.194790i −0.745548 0.666451i \(-0.767812\pi\)
0.508196 + 0.861241i \(0.330312\pi\)
\(62\) 1.00819 + 2.43004i 0.128041 + 0.308616i
\(63\) 5.12431i 0.645602i
\(64\) 5.63733 5.67632i 0.704666 0.709539i
\(65\) 9.61367i 1.19243i
\(66\) −5.33068 + 2.21163i −0.656161 + 0.272233i
\(67\) −10.0924 + 8.28263i −1.23299 + 1.01188i −0.233769 + 0.972292i \(0.575106\pi\)
−0.999216 + 0.0395927i \(0.987394\pi\)
\(68\) 5.70630 2.37131i 0.691991 0.287564i
\(69\) −1.08610 + 3.58040i −0.130751 + 0.431030i
\(70\) 13.4295 25.1595i 1.60513 3.00713i
\(71\) −1.13357 5.69887i −0.134531 0.676331i −0.987908 0.155038i \(-0.950450\pi\)
0.853378 0.521293i \(-0.174550\pi\)
\(72\) 0.556578 + 2.77312i 0.0655933 + 0.326816i
\(73\) −3.80329 0.756522i −0.445142 0.0885442i −0.0325702 0.999469i \(-0.510369\pi\)
−0.412571 + 0.910925i \(0.635369\pi\)
\(74\) −2.99373 + 0.296593i −0.348014 + 0.0344783i
\(75\) 1.02794 + 10.4368i 0.118696 + 1.20514i
\(76\) −1.20109 3.94316i −0.137775 0.452312i
\(77\) 20.0113 6.07037i 2.28050 0.691783i
\(78\) 1.92100 + 2.87141i 0.217511 + 0.325123i
\(79\) −1.75819 + 0.728267i −0.197812 + 0.0819364i −0.479390 0.877602i \(-0.659142\pi\)
0.281578 + 0.959538i \(0.409142\pi\)
\(80\) 4.53492 15.0742i 0.507019 1.68535i
\(81\) −0.923880 0.382683i −0.102653 0.0425204i
\(82\) −0.154992 0.776863i −0.0171160 0.0857902i
\(83\) −1.95865 + 3.66437i −0.214989 + 0.402217i −0.966180 0.257869i \(-0.916980\pi\)
0.751191 + 0.660085i \(0.229480\pi\)
\(84\) −1.01626 10.1981i −0.110883 1.11270i
\(85\) 7.71371 9.39919i 0.836670 1.01948i
\(86\) 4.28324 + 8.00232i 0.461874 + 0.862913i
\(87\) 6.39778 4.27486i 0.685914 0.458313i
\(88\) 10.1702 5.45864i 1.08415 0.581893i
\(89\) −7.24931 + 10.8494i −0.768426 + 1.15003i 0.216370 + 0.976312i \(0.430578\pi\)
−0.984795 + 0.173719i \(0.944422\pi\)
\(90\) 3.53318 + 4.30015i 0.372430 + 0.453276i
\(91\) −5.90096 11.0399i −0.618589 1.15730i
\(92\) 1.45143 7.34091i 0.151322 0.765343i
\(93\) 1.85136 + 0.182343i 0.191977 + 0.0189081i
\(94\) −8.99062 + 9.00096i −0.927312 + 0.928378i
\(95\) −5.73528 5.73528i −0.588428 0.588428i
\(96\) −1.65764 5.40853i −0.169182 0.552006i
\(97\) −7.28783 + 7.28783i −0.739967 + 0.739967i −0.972571 0.232604i \(-0.925275\pi\)
0.232604 + 0.972571i \(0.425275\pi\)
\(98\) 0.0156433 + 27.2357i 0.00158022 + 2.75122i
\(99\) −0.399998 + 4.06125i −0.0402013 + 0.408171i
\(100\) −4.11558 20.5669i −0.411558 2.05669i
\(101\) −4.56924 + 2.44231i −0.454656 + 0.243019i −0.682795 0.730610i \(-0.739236\pi\)
0.228139 + 0.973629i \(0.426736\pi\)
\(102\) 0.425788 4.34870i 0.0421593 0.430586i
\(103\) −13.5286 9.03953i −1.33301 0.890691i −0.334354 0.942448i \(-0.608518\pi\)
−0.998660 + 0.0517568i \(0.983518\pi\)
\(104\) −4.39253 5.33355i −0.430723 0.522997i
\(105\) −11.2037 16.7676i −1.09337 1.63635i
\(106\) 5.05699 + 1.53085i 0.491178 + 0.148689i
\(107\) 13.4083 + 11.0039i 1.29623 + 1.06379i 0.993865 + 0.110599i \(0.0352768\pi\)
0.302367 + 0.953192i \(0.402223\pi\)
\(108\) 1.91455 + 0.578370i 0.184227 + 0.0556537i
\(109\) −8.10861 4.33414i −0.776664 0.415135i 0.0349063 0.999391i \(-0.488887\pi\)
−0.811570 + 0.584255i \(0.801387\pi\)
\(110\) 12.6074 18.8917i 1.20207 1.80126i
\(111\) −0.814064 + 1.96533i −0.0772676 + 0.186540i
\(112\) 4.04499 + 20.0941i 0.382216 + 1.89872i
\(113\) −6.77999 16.3684i −0.637808 1.53980i −0.829593 0.558368i \(-0.811428\pi\)
0.191785 0.981437i \(-0.438572\pi\)
\(114\) −2.85904 0.566991i −0.267774 0.0531036i
\(115\) −4.27424 14.0903i −0.398575 1.31393i
\(116\) −11.8847 + 9.77639i −1.10347 + 0.907715i
\(117\) 2.43111 0.239443i 0.224756 0.0221366i
\(118\) 2.33925 + 1.91752i 0.215345 + 0.176522i
\(119\) −3.08878 + 15.5284i −0.283148 + 1.42348i
\(120\) −7.88434 7.85722i −0.719739 0.717262i
\(121\) 5.54509 1.10299i 0.504099 0.100271i
\(122\) −0.986355 3.24486i −0.0893003 0.293776i
\(123\) −0.536031 0.162603i −0.0483323 0.0146614i
\(124\) −3.72063 + 0.00427403i −0.334123 + 0.000383819i
\(125\) −13.6996 16.6930i −1.22533 1.49307i
\(126\) −6.69682 2.76941i −0.596601 0.246719i
\(127\) 5.01419 0.444938 0.222469 0.974940i \(-0.428588\pi\)
0.222469 + 0.974940i \(0.428588\pi\)
\(128\) 4.37156 + 10.4350i 0.386395 + 0.922333i
\(129\) 6.41807 0.565080
\(130\) −12.5639 5.19567i −1.10192 0.455690i
\(131\) −2.99998 3.65549i −0.262109 0.319381i 0.625281 0.780399i \(-0.284984\pi\)
−0.887391 + 0.461018i \(0.847484\pi\)
\(132\) −0.00937576 8.16179i −0.000816055 0.710393i
\(133\) 10.1065 + 3.06578i 0.876347 + 0.265837i
\(134\) −5.36995 17.6658i −0.463893 1.52610i
\(135\) 3.85978 0.767757i 0.332197 0.0660780i
\(136\) 0.0150582 + 8.73898i 0.00129123 + 0.749362i
\(137\) 2.18236 10.9715i 0.186452 0.937356i −0.768331 0.640052i \(-0.778913\pi\)
0.954783 0.297303i \(-0.0960873\pi\)
\(138\) −4.09215 3.35441i −0.348347 0.285546i
\(139\) −11.9285 + 1.17486i −1.01176 + 0.0996499i −0.590290 0.807191i \(-0.700987\pi\)
−0.421473 + 0.906841i \(0.638487\pi\)
\(140\) 25.6224 + 31.1479i 2.16549 + 2.63248i
\(141\) 2.61134 + 8.60844i 0.219915 + 0.724961i
\(142\) 8.06033 + 1.59849i 0.676408 + 0.134142i
\(143\) −3.81502 9.21026i −0.319028 0.770201i
\(144\) −3.92492 0.771346i −0.327077 0.0642788i
\(145\) −11.5881 + 27.9761i −0.962336 + 2.32329i
\(146\) 3.04415 4.56156i 0.251936 0.377518i
\(147\) 16.9845 + 9.07842i 1.40086 + 0.748775i
\(148\) 1.23034 4.07272i 0.101133 0.334776i
\(149\) −2.61530 2.14632i −0.214253 0.175833i 0.521145 0.853468i \(-0.325505\pi\)
−0.735399 + 0.677635i \(0.763005\pi\)
\(150\) −14.1952 4.29716i −1.15903 0.350861i
\(151\) −3.88355 5.81215i −0.316039 0.472986i 0.639108 0.769117i \(-0.279304\pi\)
−0.955147 + 0.296131i \(0.904304\pi\)
\(152\) 5.80234 + 0.561388i 0.470632 + 0.0455345i
\(153\) −2.56899 1.71655i −0.207691 0.138775i
\(154\) −2.88183 + 29.4330i −0.232224 + 2.37178i
\(155\) −6.45662 + 3.45113i −0.518608 + 0.277202i
\(156\) −4.79077 + 0.958666i −0.383569 + 0.0767547i
\(157\) −1.71590 + 17.4219i −0.136944 + 1.39042i 0.643623 + 0.765343i \(0.277431\pi\)
−0.780567 + 0.625072i \(0.785069\pi\)
\(158\) −0.00154581 2.69132i −0.000122978 0.214110i
\(159\) 2.64181 2.64181i 0.209509 0.209509i
\(160\) 17.2492 + 14.0734i 1.36367 + 1.11260i
\(161\) 13.5571 + 13.5571i 1.06845 + 1.06845i
\(162\) 0.999425 1.00057i 0.0785223 0.0786125i
\(163\) 13.1535 + 1.29551i 1.03026 + 0.101472i 0.598995 0.800753i \(-0.295567\pi\)
0.431266 + 0.902225i \(0.358067\pi\)
\(164\) 1.09903 + 0.217298i 0.0858195 + 0.0169681i
\(165\) −7.57060 14.1636i −0.589371 1.10264i
\(166\) −3.73033 4.54009i −0.289529 0.352380i
\(167\) 2.97873 4.45799i 0.230501 0.344970i −0.698132 0.715969i \(-0.745985\pi\)
0.928633 + 0.371000i \(0.120985\pi\)
\(168\) 13.8769 + 4.18340i 1.07062 + 0.322757i
\(169\) 5.84720 3.90698i 0.449785 0.300537i
\(170\) 8.11471 + 15.1606i 0.622370 + 1.16276i
\(171\) −1.30750 + 1.59319i −0.0999867 + 0.121834i
\(172\) −12.7729 + 1.27284i −0.973923 + 0.0970528i
\(173\) −5.29367 + 9.90376i −0.402470 + 0.752969i −0.998759 0.0498012i \(-0.984141\pi\)
0.596289 + 0.802770i \(0.296641\pi\)
\(174\) 2.12905 + 10.6714i 0.161403 + 0.808998i
\(175\) 49.6496 + 20.5655i 3.75316 + 1.55461i
\(176\) 1.63731 + 16.2413i 0.123417 + 1.22423i
\(177\) 1.97600 0.818485i 0.148525 0.0615211i
\(178\) −10.2609 15.3374i −0.769086 1.14959i
\(179\) −10.7040 + 3.24701i −0.800051 + 0.242693i −0.663730 0.747972i \(-0.731028\pi\)
−0.136321 + 0.990665i \(0.543528\pi\)
\(180\) −7.52925 + 2.29342i −0.561197 + 0.170941i
\(181\) 1.42092 + 14.4268i 0.105616 + 1.07234i 0.891208 + 0.453594i \(0.149858\pi\)
−0.785592 + 0.618745i \(0.787642\pi\)
\(182\) 17.6169 1.74533i 1.30585 0.129373i
\(183\) −2.35205 0.467852i −0.173868 0.0345846i
\(184\) 8.80922 + 5.86420i 0.649424 + 0.432315i
\(185\) −1.63321 8.21072i −0.120076 0.603664i
\(186\) −1.23886 + 2.32095i −0.0908375 + 0.170180i
\(187\) −3.66013 + 12.0658i −0.267655 + 0.882341i
\(188\) −6.90417 16.6141i −0.503538 1.21171i
\(189\) −3.96114 + 3.25083i −0.288131 + 0.236463i
\(190\) 10.5949 4.39568i 0.768635 0.318896i
\(191\) 4.65126i 0.336553i −0.985740 0.168277i \(-0.946180\pi\)
0.985740 0.168277i \(-0.0538202\pi\)
\(192\) 7.96413 + 0.756696i 0.574762 + 0.0546098i
\(193\) 19.6126i 1.41174i 0.708339 + 0.705872i \(0.249445\pi\)
−0.708339 + 0.705872i \(0.750555\pi\)
\(194\) −5.58560 13.4629i −0.401022 0.966583i
\(195\) −7.43147 + 6.09885i −0.532179 + 0.436748i
\(196\) −35.6021 14.6990i −2.54300 1.04993i
\(197\) 0.532057 1.75396i 0.0379075 0.124964i −0.935945 0.352147i \(-0.885452\pi\)
0.973852 + 0.227183i \(0.0729516\pi\)
\(198\) −5.09136 2.71763i −0.361827 0.193134i
\(199\) 0.875615 + 4.40202i 0.0620707 + 0.312051i 0.999331 0.0365806i \(-0.0116466\pi\)
−0.937260 + 0.348631i \(0.886647\pi\)
\(200\) 29.1026 + 5.73676i 2.05787 + 0.405650i
\(201\) −12.8051 2.54710i −0.903204 0.179658i
\(202\) −0.722364 7.29135i −0.0508254 0.513018i
\(203\) −3.86474 39.2394i −0.271252 2.75406i
\(204\) 5.45309 + 2.90669i 0.381793 + 0.203509i
\(205\) 2.10949 0.639908i 0.147333 0.0446931i
\(206\) 19.1250 12.7948i 1.33250 0.891456i
\(207\) −3.45670 + 1.43181i −0.240258 + 0.0995179i
\(208\) 9.34419 2.85799i 0.647903 0.198166i
\(209\) 7.77056 + 3.21867i 0.537501 + 0.222640i
\(210\) 27.9681 5.57990i 1.92998 0.385050i
\(211\) −4.90361 + 9.17400i −0.337578 + 0.631564i −0.992237 0.124360i \(-0.960312\pi\)
0.654659 + 0.755924i \(0.272812\pi\)
\(212\) −4.73366 + 5.78151i −0.325109 + 0.397075i
\(213\) 3.68615 4.49159i 0.252571 0.307759i
\(214\) −21.6272 + 11.5760i −1.47841 + 0.791317i
\(215\) −21.0010 + 14.0324i −1.43225 + 0.957002i
\(216\) −1.79057 + 2.18949i −0.121833 + 0.148976i
\(217\) 5.29616 7.92627i 0.359527 0.538070i
\(218\) 10.0464 8.25456i 0.680430 0.559069i
\(219\) −1.82798 3.41992i −0.123524 0.231097i
\(220\) 17.8755 + 26.6862i 1.20517 + 1.79918i
\(221\) 7.51141 + 0.739809i 0.505272 + 0.0497649i
\(222\) −2.12847 2.12603i −0.142854 0.142690i
\(223\) −6.46512 6.46512i −0.432937 0.432937i 0.456689 0.889626i \(-0.349035\pi\)
−0.889626 + 0.456689i \(0.849035\pi\)
\(224\) −28.4466 5.57350i −1.90067 0.372395i
\(225\) −7.41567 + 7.41567i −0.494378 + 0.494378i
\(226\) 25.0556 0.0143911i 1.66667 0.000957285i
\(227\) 0.656937 6.67000i 0.0436025 0.442703i −0.948454 0.316913i \(-0.897354\pi\)
0.992057 0.125790i \(-0.0401465\pi\)
\(228\) 2.28614 3.42997i 0.151403 0.227156i
\(229\) −9.38622 + 5.01704i −0.620259 + 0.331535i −0.751418 0.659826i \(-0.770630\pi\)
0.131160 + 0.991361i \(0.458130\pi\)
\(230\) 20.7242 + 2.02914i 1.36652 + 0.133798i
\(231\) 17.3875 + 11.6180i 1.14401 + 0.764406i
\(232\) −6.35347 20.8154i −0.417126 1.36660i
\(233\) −2.06306 3.08758i −0.135155 0.202274i 0.757718 0.652582i \(-0.226314\pi\)
−0.892873 + 0.450308i \(0.851314\pi\)
\(234\) −1.00096 + 3.30656i −0.0654348 + 0.216157i
\(235\) −27.3661 22.4588i −1.78517 1.46505i
\(236\) −3.77019 + 2.02078i −0.245419 + 0.131542i
\(237\) −1.67834 0.897093i −0.109020 0.0582725i
\(238\) −18.6243 12.4289i −1.20723 0.805645i
\(239\) −11.4520 + 27.6475i −0.740767 + 1.78837i −0.138033 + 0.990428i \(0.544078\pi\)
−0.602734 + 0.797942i \(0.705922\pi\)
\(240\) 14.5294 6.05744i 0.937872 0.391006i
\(241\) −2.19510 5.29944i −0.141399 0.341367i 0.837277 0.546780i \(-0.184146\pi\)
−0.978675 + 0.205412i \(0.934146\pi\)
\(242\) −1.55535 + 7.84283i −0.0999819 + 0.504156i
\(243\) −0.290285 0.956940i −0.0186218 0.0613878i
\(244\) 4.77370 + 0.464632i 0.305605 + 0.0297450i
\(245\) −75.4251 + 7.42872i −4.81873 + 0.474603i
\(246\) 0.502198 0.612647i 0.0320189 0.0390609i
\(247\) 0.982242 4.93806i 0.0624985 0.314201i
\(248\) 2.00521 4.86471i 0.127331 0.308909i
\(249\) −4.07515 + 0.810597i −0.258252 + 0.0513695i
\(250\) 29.2196 8.88199i 1.84801 0.561746i
\(251\) 1.67257 + 0.507367i 0.105571 + 0.0320247i 0.342628 0.939471i \(-0.388683\pi\)
−0.237057 + 0.971496i \(0.576183\pi\)
\(252\) 7.23854 7.25519i 0.455985 0.457034i
\(253\) 9.68637 + 11.8029i 0.608977 + 0.742041i
\(254\) −2.70990 + 6.55291i −0.170034 + 0.411166i
\(255\) 12.1592 0.761439
\(256\) −15.9998 + 0.0735189i −0.999989 + 0.00459493i
\(257\) 12.8263 0.800080 0.400040 0.916498i \(-0.368996\pi\)
0.400040 + 0.916498i \(0.368996\pi\)
\(258\) −3.46862 + 8.38761i −0.215947 + 0.522190i
\(259\) 6.91533 + 8.42636i 0.429698 + 0.523588i
\(260\) 13.5802 13.6114i 0.842206 0.844143i
\(261\) 7.36322 + 2.23361i 0.455772 + 0.138257i
\(262\) 6.39858 1.94500i 0.395306 0.120163i
\(263\) 22.5322 4.48193i 1.38939 0.276368i 0.556982 0.830524i \(-0.311959\pi\)
0.832412 + 0.554157i \(0.186959\pi\)
\(264\) 10.6715 + 4.39875i 0.656785 + 0.270724i
\(265\) −2.86841 + 14.4205i −0.176205 + 0.885842i
\(266\) −9.46861 + 11.5511i −0.580558 + 0.708241i
\(267\) −12.9856 + 1.27897i −0.794705 + 0.0782716i
\(268\) 25.9892 + 2.52957i 1.58754 + 0.154518i
\(269\) 0.972712 + 3.20660i 0.0593073 + 0.195510i 0.981588 0.191011i \(-0.0611767\pi\)
−0.922281 + 0.386521i \(0.873677\pi\)
\(270\) −1.08264 + 5.45917i −0.0658872 + 0.332235i
\(271\) 2.21994 + 5.35941i 0.134852 + 0.325561i 0.976852 0.213916i \(-0.0686219\pi\)
−0.842000 + 0.539477i \(0.818622\pi\)
\(272\) −11.4289 4.70327i −0.692978 0.285177i
\(273\) 4.79045 11.5652i 0.289931 0.699955i
\(274\) 13.1589 + 8.78155i 0.794957 + 0.530513i
\(275\) 37.7442 + 20.1747i 2.27606 + 1.21658i
\(276\) 6.59538 3.53505i 0.396995 0.212785i
\(277\) −2.74370 2.25170i −0.164853 0.135292i 0.548350 0.836249i \(-0.315256\pi\)
−0.713203 + 0.700958i \(0.752756\pi\)
\(278\) 4.91132 16.2240i 0.294562 0.973051i
\(279\) 1.03354 + 1.54680i 0.0618762 + 0.0926043i
\(280\) −54.5539 + 16.6515i −3.26022 + 0.995115i
\(281\) 10.5721 + 7.06408i 0.630681 + 0.421408i 0.829405 0.558648i \(-0.188680\pi\)
−0.198724 + 0.980056i \(0.563680\pi\)
\(282\) −12.6614 1.23970i −0.753977 0.0738230i
\(283\) −5.26463 + 2.81401i −0.312950 + 0.167275i −0.620393 0.784291i \(-0.713027\pi\)
0.307443 + 0.951567i \(0.400527\pi\)
\(284\) −6.44519 + 9.66994i −0.382452 + 0.573805i
\(285\) 0.795009 8.07186i 0.0470923 0.478136i
\(286\) 14.0985 0.00809771i 0.833659 0.000478828i
\(287\) −2.02967 + 2.02967i −0.119808 + 0.119808i
\(288\) 3.12926 4.71251i 0.184393 0.277687i
\(289\) 5.27059 + 5.27059i 0.310035 + 0.310035i
\(290\) −30.2985 30.2637i −1.77919 1.77714i
\(291\) −10.2569 1.01022i −0.601271 0.0592200i
\(292\) 4.31619 + 6.44359i 0.252586 + 0.377083i
\(293\) −10.0949 18.8863i −0.589753 1.10335i −0.982946 0.183894i \(-0.941130\pi\)
0.393193 0.919456i \(-0.371370\pi\)
\(294\) −21.0436 + 17.2902i −1.22729 + 1.00839i
\(295\) −4.67626 + 6.99851i −0.272262 + 0.407469i
\(296\) 4.65760 + 3.80898i 0.270718 + 0.221393i
\(297\) −3.39314 + 2.26722i −0.196890 + 0.131558i
\(298\) 4.21839 2.25789i 0.244365 0.130796i
\(299\) 5.79838 7.06534i 0.335329 0.408599i
\(300\) 13.2876 16.2289i 0.767157 0.936977i
\(301\) 15.5034 29.0048i 0.893600 1.67181i
\(302\) 9.69459 1.93416i 0.557861 0.111299i
\(303\) −4.78662 1.98268i −0.274984 0.113902i
\(304\) −3.86951 + 7.27953i −0.221932 + 0.417510i
\(305\) 8.71919 3.61161i 0.499259 0.206800i
\(306\) 3.63171 2.42965i 0.207611 0.138894i
\(307\) −7.40177 + 2.24530i −0.422441 + 0.128146i −0.494346 0.869265i \(-0.664592\pi\)
0.0719044 + 0.997412i \(0.477092\pi\)
\(308\) −36.9077 19.6731i −2.10301 1.12098i
\(309\) −1.59481 16.1924i −0.0907255 0.921152i
\(310\) −1.02075 10.3031i −0.0579745 0.585179i
\(311\) −15.0497 2.99357i −0.853390 0.169750i −0.251035 0.967978i \(-0.580771\pi\)
−0.602355 + 0.798228i \(0.705771\pi\)
\(312\) 1.33630 6.77904i 0.0756528 0.383787i
\(313\) −4.33204 21.7787i −0.244862 1.23100i −0.886039 0.463610i \(-0.846554\pi\)
0.641178 0.767392i \(-0.278446\pi\)
\(314\) −21.8408 11.6580i −1.23255 0.657901i
\(315\) 5.85393 19.2978i 0.329832 1.08731i
\(316\) 3.51806 + 1.45249i 0.197906 + 0.0817092i
\(317\) −2.40787 + 1.97609i −0.135240 + 0.110988i −0.699581 0.714553i \(-0.746630\pi\)
0.564342 + 0.825541i \(0.309130\pi\)
\(318\) 2.02476 + 4.88027i 0.113543 + 0.273672i
\(319\) 31.4006i 1.75810i
\(320\) −27.7144 + 14.9367i −1.54928 + 0.834985i
\(321\) 17.3456i 0.968137i
\(322\) −25.0443 + 10.3906i −1.39567 + 0.579043i
\(323\) −4.92248 + 4.03977i −0.273894 + 0.224779i
\(324\) 0.767489 + 1.84688i 0.0426383 + 0.102604i
\(325\) 7.43687 24.5161i 0.412523 1.35991i
\(326\) −8.80181 + 16.4898i −0.487487 + 0.913286i
\(327\) −1.79371 9.01759i −0.0991924 0.498674i
\(328\) −0.877944 + 1.31885i −0.0484764 + 0.0728213i
\(329\) 45.2115 + 8.99312i 2.49259 + 0.495807i
\(330\) 22.6015 2.23917i 1.24417 0.123262i
\(331\) 0.623059 + 6.32602i 0.0342464 + 0.347710i 0.997004 + 0.0773450i \(0.0246443\pi\)
−0.962758 + 0.270365i \(0.912856\pi\)
\(332\) 7.94937 2.42139i 0.436278 0.132891i
\(333\) −2.03565 + 0.617509i −0.111553 + 0.0338393i
\(334\) 4.21619 + 6.30213i 0.230699 + 0.344837i
\(335\) 47.4694 19.6625i 2.59353 1.07428i
\(336\) −12.9669 + 15.8744i −0.707401 + 0.866020i
\(337\) −4.08828 1.69342i −0.222703 0.0922464i 0.268542 0.963268i \(-0.413458\pi\)
−0.491245 + 0.871021i \(0.663458\pi\)
\(338\) 1.94583 + 9.75306i 0.105839 + 0.530497i
\(339\) 8.35172 15.6250i 0.453603 0.848632i
\(340\) −24.1985 + 2.41142i −1.31235 + 0.130778i
\(341\) 4.81616 5.86851i 0.260810 0.317798i
\(342\) −1.37546 2.56976i −0.0743766 0.138957i
\(343\) 52.2301 34.8990i 2.82016 1.88437i
\(344\) 5.23961 17.3804i 0.282501 0.937090i
\(345\) 8.18039 12.2428i 0.440418 0.659132i
\(346\) −10.0820 12.2706i −0.542013 0.659671i
\(347\) 14.4060 + 26.9517i 0.773353 + 1.44684i 0.891104 + 0.453799i \(0.149932\pi\)
−0.117751 + 0.993043i \(0.537568\pi\)
\(348\) −15.0968 2.98492i −0.809275 0.160009i
\(349\) 6.72585 + 0.662439i 0.360027 + 0.0354595i 0.276414 0.961039i \(-0.410854\pi\)
0.0836131 + 0.996498i \(0.473354\pi\)
\(350\) −53.7095 + 53.7712i −2.87089 + 2.87419i
\(351\) 1.72737 + 1.72737i 0.0922003 + 0.0922003i
\(352\) −22.1102 6.63776i −1.17848 0.353794i
\(353\) −3.16205 + 3.16205i −0.168299 + 0.168299i −0.786231 0.617932i \(-0.787971\pi\)
0.617932 + 0.786231i \(0.287971\pi\)
\(354\) 0.00173731 + 3.02472i 9.23369e−5 + 0.160762i
\(355\) −2.24133 + 22.7566i −0.118957 + 1.20779i
\(356\) 25.5895 5.12064i 1.35624 0.271393i
\(357\) −13.9631 + 7.46343i −0.739005 + 0.395007i
\(358\) 1.54147 15.7435i 0.0814694 0.832072i
\(359\) −12.2920 8.21322i −0.648744 0.433477i 0.187177 0.982326i \(-0.440066\pi\)
−0.835921 + 0.548849i \(0.815066\pi\)
\(360\) 1.07194 11.0792i 0.0564961 0.583927i
\(361\) −8.19589 12.2660i −0.431363 0.645580i
\(362\) −19.6220 5.93996i −1.03131 0.312197i
\(363\) 4.37039 + 3.58668i 0.229386 + 0.188252i
\(364\) −7.24006 + 23.9664i −0.379482 + 1.25618i
\(365\) 13.4587 + 7.19384i 0.704462 + 0.376543i
\(366\) 1.88258 2.82098i 0.0984039 0.147455i
\(367\) −4.38689 + 10.5909i −0.228994 + 0.552839i −0.996055 0.0887339i \(-0.971718\pi\)
0.767062 + 0.641573i \(0.221718\pi\)
\(368\) −12.4247 + 8.34325i −0.647681 + 0.434922i
\(369\) −0.214361 0.517512i −0.0111592 0.0269406i
\(370\) 11.6130 + 2.30304i 0.603733 + 0.119730i
\(371\) −5.55746 18.3205i −0.288529 0.951152i
\(372\) −2.36365 2.87338i −0.122549 0.148978i
\(373\) −25.0702 + 2.46920i −1.29809 + 0.127850i −0.723346 0.690486i \(-0.757397\pi\)
−0.574740 + 0.818336i \(0.694897\pi\)
\(374\) −13.7904 11.3042i −0.713085 0.584529i
\(375\) 4.21294 21.1799i 0.217555 1.09372i
\(376\) 25.4439 0.0438426i 1.31217 0.00226101i
\(377\) −18.4356 + 3.66707i −0.949483 + 0.188864i
\(378\) −2.10764 6.93361i −0.108405 0.356626i
\(379\) 34.0005 + 10.3139i 1.74649 + 0.529791i 0.991968 0.126489i \(-0.0403707\pi\)
0.754518 + 0.656279i \(0.227871\pi\)
\(380\) 0.0186346 + 16.2218i 0.000955936 + 0.832162i
\(381\) 3.18097 + 3.87602i 0.162966 + 0.198575i
\(382\) 6.07861 + 2.51375i 0.311009 + 0.128615i
\(383\) 13.7405 0.702107 0.351054 0.936355i \(-0.385823\pi\)
0.351054 + 0.936355i \(0.385823\pi\)
\(384\) −5.29309 + 9.99916i −0.270112 + 0.510268i
\(385\) −82.2961 −4.19420
\(386\) −25.6312 10.5995i −1.30459 0.539502i
\(387\) 4.07158 + 4.96124i 0.206970 + 0.252194i
\(388\) 20.6131 0.0236790i 1.04647 0.00120212i
\(389\) 9.32881 + 2.82986i 0.472990 + 0.143480i 0.517775 0.855517i \(-0.326760\pi\)
−0.0447855 + 0.998997i \(0.514260\pi\)
\(390\) −3.95412 13.0081i −0.200225 0.658690i
\(391\) −11.3380 + 2.25527i −0.573389 + 0.114054i
\(392\) 38.4507 38.5834i 1.94205 1.94876i
\(393\) 0.922562 4.63803i 0.0465371 0.233958i
\(394\) 2.00465 + 1.64325i 0.100993 + 0.0827856i
\(395\) 7.45320 0.734077i 0.375011 0.0369354i
\(396\) 6.30320 5.18503i 0.316748 0.260558i
\(397\) 1.92717 + 6.35302i 0.0967217 + 0.318849i 0.991928 0.126803i \(-0.0404718\pi\)
−0.895206 + 0.445652i \(0.852972\pi\)
\(398\) −6.22610 1.23473i −0.312086 0.0618915i
\(399\) 4.04163 + 9.75736i 0.202335 + 0.488479i
\(400\) −23.2256 + 34.9331i −1.16128 + 1.74665i
\(401\) −8.09466 + 19.5422i −0.404228 + 0.975893i 0.582399 + 0.812903i \(0.302114\pi\)
−0.986628 + 0.162991i \(0.947886\pi\)
\(402\) 10.2492 15.3581i 0.511184 0.765993i
\(403\) −4.00791 2.14227i −0.199648 0.106714i
\(404\) 9.91927 + 2.99654i 0.493502 + 0.149083i
\(405\) 3.04210 + 2.49659i 0.151163 + 0.124056i
\(406\) 53.3696 + 16.1560i 2.64869 + 0.801809i
\(407\) 4.82296 + 7.21807i 0.239065 + 0.357786i
\(408\) −6.74577 + 5.55559i −0.333966 + 0.275043i
\(409\) 5.13865 + 3.43354i 0.254090 + 0.169777i 0.676092 0.736818i \(-0.263672\pi\)
−0.422002 + 0.906595i \(0.638672\pi\)
\(410\) −0.303788 + 3.10268i −0.0150030 + 0.153230i
\(411\) 9.86553 5.27324i 0.486631 0.260110i
\(412\) 6.38518 + 31.9088i 0.314575 + 1.57204i
\(413\) 1.07426 10.9071i 0.0528607 0.536704i
\(414\) −0.00303915 5.29129i −0.000149366 0.260053i
\(415\) 11.5623 11.5623i 0.567569 0.567569i
\(416\) −1.31500 + 13.7563i −0.0644730 + 0.674457i
\(417\) −8.47554 8.47554i −0.415049 0.415049i
\(418\) −8.40597 + 8.41563i −0.411149 + 0.411622i
\(419\) 15.3634 + 1.51316i 0.750549 + 0.0739226i 0.466056 0.884755i \(-0.345675\pi\)
0.284493 + 0.958678i \(0.408175\pi\)
\(420\) −7.82301 + 39.5664i −0.381724 + 1.93064i
\(421\) 12.2531 + 22.9239i 0.597179 + 1.11724i 0.981031 + 0.193849i \(0.0620973\pi\)
−0.383852 + 0.923395i \(0.625403\pi\)
\(422\) −9.33913 11.3664i −0.454622 0.553310i
\(423\) −4.99779 + 7.47973i −0.243001 + 0.363677i
\(424\) −4.99741 9.31088i −0.242696 0.452176i
\(425\) −26.9419 + 18.0020i −1.30687 + 0.873225i
\(426\) 3.87777 + 7.24479i 0.187879 + 0.351011i
\(427\) −7.79590 + 9.49934i −0.377270 + 0.459705i
\(428\) −3.43999 34.5202i −0.166278 1.66860i
\(429\) 4.69941 8.79197i 0.226890 0.424481i
\(430\) −6.98869 35.0294i −0.337025 1.68927i
\(431\) −32.2738 13.3683i −1.55458 0.643926i −0.570440 0.821340i \(-0.693227\pi\)
−0.984136 + 0.177413i \(0.943227\pi\)
\(432\) −1.89369 3.52334i −0.0911100 0.169517i
\(433\) 23.4669 9.72033i 1.12775 0.467129i 0.260734 0.965411i \(-0.416035\pi\)
0.867015 + 0.498282i \(0.166035\pi\)
\(434\) 7.49634 + 11.2051i 0.359836 + 0.537864i
\(435\) −28.9772 + 8.79013i −1.38935 + 0.421454i
\(436\) 5.35811 + 17.5906i 0.256607 + 0.842435i
\(437\) 0.755841 + 7.67418i 0.0361568 + 0.367106i
\(438\) 5.45732 0.540665i 0.260761 0.0258339i
\(439\) −30.4892 6.06467i −1.45517 0.289451i −0.596761 0.802419i \(-0.703546\pi\)
−0.858408 + 0.512968i \(0.828546\pi\)
\(440\) −44.5362 + 8.93861i −2.12318 + 0.426132i
\(441\) 3.75716 + 18.8885i 0.178912 + 0.899452i
\(442\) −5.02634 + 9.41663i −0.239079 + 0.447903i
\(443\) 7.86970 25.9429i 0.373901 1.23259i −0.545114 0.838362i \(-0.683514\pi\)
0.919015 0.394223i \(-0.128986\pi\)
\(444\) 3.92878 1.63264i 0.186452 0.0774818i
\(445\) 39.6946 32.5765i 1.88171 1.54428i
\(446\) 11.9431 4.95505i 0.565524 0.234629i
\(447\) 3.38326i 0.160023i
\(448\) 22.6577 34.1639i 1.07048 1.61409i
\(449\) 30.7136i 1.44947i −0.689030 0.724733i \(-0.741963\pi\)
0.689030 0.724733i \(-0.258037\pi\)
\(450\) −5.68357 13.6991i −0.267926 0.645782i
\(451\) −1.76704 + 1.45017i −0.0832066 + 0.0682859i
\(452\) −13.5224 + 32.7523i −0.636039 + 1.54054i
\(453\) 2.02915 6.68921i 0.0953378 0.314287i
\(454\) 8.36181 + 4.46330i 0.392439 + 0.209473i
\(455\) 9.61082 + 48.3168i 0.450562 + 2.26513i
\(456\) 3.24701 + 4.84141i 0.152055 + 0.226720i
\(457\) −34.9753 6.95701i −1.63607 0.325435i −0.710412 0.703786i \(-0.751491\pi\)
−0.925662 + 0.378351i \(0.876491\pi\)
\(458\) −1.48390 14.9780i −0.0693379 0.699878i
\(459\) −0.302844 3.07482i −0.0141355 0.143521i
\(460\) −13.8521 + 25.9873i −0.645860 + 1.21166i
\(461\) −35.7040 + 10.8307i −1.66290 + 0.504435i −0.975156 0.221518i \(-0.928899\pi\)
−0.687744 + 0.725953i \(0.741399\pi\)
\(462\) −24.5802 + 16.4444i −1.14357 + 0.765063i
\(463\) −10.7240 + 4.44201i −0.498385 + 0.206438i −0.617693 0.786419i \(-0.711933\pi\)
0.119308 + 0.992857i \(0.461933\pi\)
\(464\) 30.6368 + 2.94641i 1.42228 + 0.136784i
\(465\) −6.76380 2.80166i −0.313664 0.129924i
\(466\) 5.15005 1.02748i 0.238571 0.0475973i
\(467\) 3.54868 6.63912i 0.164213 0.307222i −0.786334 0.617802i \(-0.788023\pi\)
0.950547 + 0.310580i \(0.100523\pi\)
\(468\) −3.78029 3.09514i −0.174744 0.143073i
\(469\) −42.4428 + 51.7167i −1.95983 + 2.38805i
\(470\) 44.1407 23.6263i 2.03606 1.08980i
\(471\) −14.5558 + 9.72590i −0.670697 + 0.448146i
\(472\) −0.603323 6.01929i −0.0277702 0.277060i
\(473\) 14.5512 21.7774i 0.669066 1.00133i
\(474\) 2.07944 1.70855i 0.0955119 0.0784764i
\(475\) 10.1890 + 19.0624i 0.467505 + 0.874641i
\(476\) 26.3084 17.6225i 1.20584 0.807724i
\(477\) 3.71809 + 0.366200i 0.170240 + 0.0167672i
\(478\) −29.9427 29.9083i −1.36955 1.36797i
\(479\) 7.01057 + 7.01057i 0.320321 + 0.320321i 0.848890 0.528569i \(-0.177271\pi\)
−0.528569 + 0.848890i \(0.677271\pi\)
\(480\) 0.0639328 + 22.2619i 0.00291812 + 1.01611i
\(481\) 3.67456 3.67456i 0.167545 0.167545i
\(482\) 8.11203 0.00465930i 0.369493 0.000212225i
\(483\) −1.87925 + 19.0803i −0.0855088 + 0.868185i
\(484\) −9.40900 6.27127i −0.427682 0.285058i
\(485\) 35.7710 19.1200i 1.62428 0.868195i
\(486\) 1.40748 + 0.137809i 0.0638447 + 0.00625113i
\(487\) 0.119775 + 0.0800311i 0.00542753 + 0.00362656i 0.558281 0.829652i \(-0.311461\pi\)
−0.552854 + 0.833278i \(0.686461\pi\)
\(488\) −3.18714 + 5.98751i −0.144275 + 0.271042i
\(489\) 7.34305 + 10.9897i 0.332064 + 0.496969i
\(490\) 31.0547 102.586i 1.40291 4.63436i
\(491\) −19.8103 16.2579i −0.894025 0.733707i 0.0705523 0.997508i \(-0.477524\pi\)
−0.964577 + 0.263801i \(0.915024\pi\)
\(492\) 0.529241 + 0.987411i 0.0238600 + 0.0445159i
\(493\) 20.9667 + 11.2069i 0.944291 + 0.504734i
\(494\) 5.92257 + 3.95242i 0.266469 + 0.177828i
\(495\) 6.14587 14.8375i 0.276236 0.666894i
\(496\) 5.27385 + 5.24967i 0.236803 + 0.235717i
\(497\) −11.3944 27.5084i −0.511106 1.23392i
\(498\) 1.14305 5.76379i 0.0512212 0.258281i
\(499\) −6.03347 19.8897i −0.270095 0.890385i −0.982124 0.188234i \(-0.939724\pi\)
0.712029 0.702150i \(-0.247776\pi\)
\(500\) −4.18395 + 42.9865i −0.187112 + 1.92242i
\(501\) 5.33576 0.525527i 0.238384 0.0234788i
\(502\) −1.56700 + 1.91163i −0.0699384 + 0.0853201i
\(503\) −5.46684 + 27.4837i −0.243755 + 1.22544i 0.643966 + 0.765054i \(0.277288\pi\)
−0.887721 + 0.460383i \(0.847712\pi\)
\(504\) 5.56958 + 13.3809i 0.248089 + 0.596032i
\(505\) 19.9975 3.97776i 0.889878 0.177008i
\(506\) −20.6598 + 6.28005i −0.918441 + 0.279182i
\(507\) 6.72956 + 2.04139i 0.298870 + 0.0906613i
\(508\) −7.09928 7.08299i −0.314980 0.314257i
\(509\) −10.2476 12.4868i −0.454218 0.553466i 0.494670 0.869081i \(-0.335289\pi\)
−0.948887 + 0.315615i \(0.897789\pi\)
\(510\) −6.57138 + 15.8905i −0.290986 + 0.703645i
\(511\) −19.8711 −0.879044
\(512\) 8.55096 20.9495i 0.377903 0.925845i
\(513\) −2.06102 −0.0909961
\(514\) −6.93189 + 16.7623i −0.305753 + 0.739353i
\(515\) 40.6213 + 49.4972i 1.78999 + 2.18111i
\(516\) −9.08695 9.06609i −0.400030 0.399112i
\(517\) 35.1301 + 10.6566i 1.54502 + 0.468677i
\(518\) −14.7495 + 4.48348i −0.648058 + 0.196993i
\(519\) −11.0140 + 2.19082i −0.483460 + 0.0961661i
\(520\) 10.4490 + 25.1038i 0.458221 + 1.10087i
\(521\) −0.206346 + 1.03737i −0.00904017 + 0.0454480i −0.985042 0.172314i \(-0.944876\pi\)
0.976002 + 0.217762i \(0.0698756\pi\)
\(522\) −6.89846 + 8.41565i −0.301937 + 0.368343i
\(523\) 25.1096 2.47308i 1.09797 0.108140i 0.467229 0.884136i \(-0.345252\pi\)
0.630738 + 0.775996i \(0.282752\pi\)
\(524\) −0.916213 + 9.41331i −0.0400249 + 0.411222i
\(525\) 15.6000 + 51.4263i 0.680840 + 2.24443i
\(526\) −6.32011 + 31.8690i −0.275570 + 1.38955i
\(527\) 2.19960 + 5.31030i 0.0958160 + 0.231320i
\(528\) −11.5160 + 11.5690i −0.501168 + 0.503476i
\(529\) 3.44457 8.31594i 0.149764 0.361562i
\(530\) −17.2955 11.5421i −0.751268 0.501357i
\(531\) 1.88626 + 1.00823i 0.0818566 + 0.0437532i
\(532\) −9.97851 18.6170i −0.432623 0.807149i
\(533\) 1.05777 + 0.868090i 0.0458171 + 0.0376011i
\(534\) 5.34655 17.6617i 0.231368 0.764298i
\(535\) −37.9242 56.7576i −1.63961 2.45385i
\(536\) −17.3516 + 32.5975i −0.749473 + 1.40800i
\(537\) −9.30049 6.21439i −0.401346 0.268171i
\(538\) −4.71632 0.461782i −0.203335 0.0199088i
\(539\) 69.3121 37.0481i 2.98548 1.59577i
\(540\) −6.54934 4.36526i −0.281839 0.187851i
\(541\) 3.10875 31.5637i 0.133656 1.35703i −0.661190 0.750219i \(-0.729948\pi\)
0.794846 0.606812i \(-0.207552\pi\)
\(542\) −8.20383 + 0.00471202i −0.352385 + 0.000202399i
\(543\) −10.2507 + 10.2507i −0.439899 + 0.439899i
\(544\) 12.3233 12.3942i 0.528356 0.531399i
\(545\) 25.5853 + 25.5853i 1.09595 + 1.09595i
\(546\) 12.5252 + 12.5108i 0.536030 + 0.535415i
\(547\) 4.22939 + 0.416559i 0.180836 + 0.0178108i 0.188030 0.982163i \(-0.439790\pi\)
−0.00719385 + 0.999974i \(0.502290\pi\)
\(548\) −18.5880 + 12.4510i −0.794041 + 0.531882i
\(549\) −1.13047 2.11496i −0.0482473 0.0902643i
\(550\) −46.7645 + 38.4236i −1.99404 + 1.63839i
\(551\) 8.81056 13.1859i 0.375342 0.561740i
\(552\) 1.05542 + 10.5298i 0.0449217 + 0.448179i
\(553\) −8.10835 + 5.41783i −0.344802 + 0.230390i
\(554\) 4.42551 2.36875i 0.188022 0.100639i
\(555\) 5.31087 6.47132i 0.225434 0.274692i
\(556\) 18.5484 + 15.1867i 0.786628 + 0.644058i
\(557\) 14.9638 27.9952i 0.634035 1.18620i −0.335685 0.941974i \(-0.608968\pi\)
0.969720 0.244221i \(-0.0785323\pi\)
\(558\) −2.58004 + 0.514742i −0.109222 + 0.0217908i
\(559\) −14.4851 5.99992i −0.612654 0.253769i
\(560\) 7.72207 80.2943i 0.326317 3.39305i
\(561\) −11.6490 + 4.82516i −0.491820 + 0.203718i
\(562\) −14.9455 + 9.99871i −0.630439 + 0.421770i
\(563\) 8.65406 2.62518i 0.364725 0.110638i −0.102602 0.994722i \(-0.532717\pi\)
0.467327 + 0.884084i \(0.345217\pi\)
\(564\) 8.46294 15.8769i 0.356354 0.668538i
\(565\) 6.83408 + 69.3876i 0.287512 + 2.91916i
\(566\) −0.832301 8.40103i −0.0349842 0.353122i
\(567\) −5.02585 0.999703i −0.211066 0.0419836i
\(568\) −9.15412 13.6491i −0.384098 0.572705i
\(569\) 3.70781 + 18.6404i 0.155439 + 0.781447i 0.977317 + 0.211782i \(0.0679268\pi\)
−0.821877 + 0.569664i \(0.807073\pi\)
\(570\) 10.1192 + 5.40138i 0.423848 + 0.226239i
\(571\) −13.3518 + 44.0149i −0.558754 + 1.84196i −0.0195186 + 0.999809i \(0.506213\pi\)
−0.539235 + 0.842155i \(0.681287\pi\)
\(572\) −7.60886 + 18.4293i −0.318143 + 0.770567i
\(573\) 3.59547 2.95073i 0.150203 0.123268i
\(574\) −1.55560 3.74945i −0.0649293 0.156499i
\(575\) 39.2385i 1.63636i
\(576\) 4.46746 + 6.63640i 0.186144 + 0.276517i
\(577\) 36.5677i 1.52233i −0.648557 0.761166i \(-0.724627\pi\)
0.648557 0.761166i \(-0.275373\pi\)
\(578\) −9.73646 + 4.03953i −0.404984 + 0.168022i
\(579\) −15.1607 + 12.4421i −0.630058 + 0.517075i
\(580\) 55.9255 23.2404i 2.32218 0.965004i
\(581\) −6.18057 + 20.3746i −0.256413 + 0.845282i
\(582\) 6.86353 12.8585i 0.284503 0.533003i
\(583\) −2.97446 14.9536i −0.123190 0.619316i
\(584\) −10.7536 + 2.15830i −0.444988 + 0.0893111i
\(585\) −9.42895 1.87553i −0.389839 0.0775438i
\(586\) 30.1378 2.98579i 1.24498 0.123342i
\(587\) −1.12091 11.3808i −0.0462651 0.469737i −0.990205 0.139620i \(-0.955412\pi\)
0.943940 0.330117i \(-0.107088\pi\)
\(588\) −11.2233 36.8457i −0.462839 1.51949i
\(589\) 3.66905 1.11299i 0.151181 0.0458601i
\(590\) −6.61891 9.89359i −0.272496 0.407313i
\(591\) 1.69336 0.701412i 0.0696555 0.0288522i
\(592\) −7.49504 + 4.02835i −0.308044 + 0.165564i
\(593\) 34.5712 + 14.3199i 1.41967 + 0.588047i 0.954778 0.297321i \(-0.0960930\pi\)
0.464892 + 0.885367i \(0.346093\pi\)
\(594\) −1.12917 5.65972i −0.0463303 0.232221i
\(595\) 29.3715 54.9503i 1.20412 2.25274i
\(596\) 0.670970 + 6.73317i 0.0274840 + 0.275801i
\(597\) −2.84732 + 3.46947i −0.116533 + 0.141996i
\(598\) 6.09980 + 11.3962i 0.249439 + 0.466024i
\(599\) −26.0679 + 17.4180i −1.06510 + 0.711680i −0.959209 0.282697i \(-0.908771\pi\)
−0.105895 + 0.994377i \(0.533771\pi\)
\(600\) 14.0279 + 26.1360i 0.572688 + 1.06700i
\(601\) 21.8203 32.6564i 0.890069 1.33208i −0.0526911 0.998611i \(-0.516780\pi\)
0.942760 0.333472i \(-0.108220\pi\)
\(602\) 29.5269 + 35.9365i 1.20343 + 1.46466i
\(603\) −6.15455 11.5144i −0.250633 0.468901i
\(604\) −2.71169 + 13.7149i −0.110337 + 0.558052i
\(605\) −22.1425 2.18084i −0.900220 0.0886639i
\(606\) 5.17803 5.18398i 0.210343 0.210585i
\(607\) 7.65283 + 7.65283i 0.310619 + 0.310619i 0.845149 0.534531i \(-0.179512\pi\)
−0.534531 + 0.845149i \(0.679512\pi\)
\(608\) −7.42216 8.99115i −0.301008 0.364639i
\(609\) 27.8807 27.8807i 1.12978 1.12978i
\(610\) 0.00766596 + 13.3468i 0.000310386 + 0.540394i
\(611\) 2.15398 21.8698i 0.0871408 0.884756i
\(612\) 1.21250 + 6.05928i 0.0490125 + 0.244932i
\(613\) 23.1873 12.3939i 0.936526 0.500584i 0.0688022 0.997630i \(-0.478082\pi\)
0.867724 + 0.497047i \(0.165582\pi\)
\(614\) 1.06593 10.8866i 0.0430173 0.439349i
\(615\) 1.83290 + 1.22471i 0.0739098 + 0.0493850i
\(616\) 45.6569 37.6015i 1.83957 1.51501i
\(617\) 1.19874 + 1.79404i 0.0482593 + 0.0722251i 0.854815 0.518933i \(-0.173671\pi\)
−0.806555 + 0.591159i \(0.798671\pi\)
\(618\) 22.0233 + 6.66688i 0.885907 + 0.268181i
\(619\) −14.7005 12.0644i −0.590864 0.484909i 0.290802 0.956783i \(-0.406078\pi\)
−0.881666 + 0.471874i \(0.843578\pi\)
\(620\) 14.0166 + 4.23430i 0.562918 + 0.170054i
\(621\) −3.29972 1.76374i −0.132413 0.0707763i
\(622\) 12.0458 18.0502i 0.482991 0.723746i
\(623\) −25.5878 + 61.7744i −1.02515 + 2.47494i
\(624\) 8.13715 + 5.41007i 0.325747 + 0.216576i
\(625\) 12.4554 + 30.0700i 0.498216 + 1.20280i
\(626\) 30.8032 + 6.10874i 1.23114 + 0.244154i
\(627\) 2.44153 + 8.04863i 0.0975052 + 0.321431i
\(628\) 27.0393 22.2426i 1.07899 0.887578i
\(629\) −6.54093 + 0.644225i −0.260804 + 0.0256869i
\(630\) 22.0561 + 18.0798i 0.878736 + 0.720316i
\(631\) −1.63934 + 8.24154i −0.0652612 + 0.328090i −0.999600 0.0282969i \(-0.990992\pi\)
0.934338 + 0.356387i \(0.115992\pi\)
\(632\) −3.79954 + 3.81266i −0.151138 + 0.151659i
\(633\) −10.2024 + 2.02939i −0.405510 + 0.0806609i
\(634\) −1.28118 4.21475i −0.0508820 0.167389i
\(635\) −18.8831 5.72814i −0.749354 0.227314i
\(636\) −7.47216 + 0.00858356i −0.296291 + 0.000340360i
\(637\) −29.8458 36.3672i −1.18253 1.44092i
\(638\) 41.0367 + 16.9703i 1.62466 + 0.671862i
\(639\) 5.81051 0.229860
\(640\) −4.54222 44.2916i −0.179547 1.75078i
\(641\) 21.4050 0.845447 0.422723 0.906259i \(-0.361074\pi\)
0.422723 + 0.906259i \(0.361074\pi\)
\(642\) −22.6685 9.37435i −0.894655 0.369976i
\(643\) −18.4740 22.5107i −0.728545 0.887734i 0.268600 0.963252i \(-0.413439\pi\)
−0.997144 + 0.0755174i \(0.975939\pi\)
\(644\) −0.0440487 38.3453i −0.00173576 1.51102i
\(645\) −24.1701 7.33191i −0.951695 0.288694i
\(646\) −2.61914 8.61633i −0.103049 0.339005i
\(647\) 23.6653 4.70733i 0.930380 0.185064i 0.293440 0.955977i \(-0.405200\pi\)
0.636940 + 0.770913i \(0.280200\pi\)
\(648\) −2.82842 + 0.00487368i −0.111111 + 0.000191456i
\(649\) 1.70279 8.56053i 0.0668405 0.336030i
\(650\) 28.0202 + 22.9687i 1.09904 + 0.900905i
\(651\) 9.48694 0.934382i 0.371822 0.0366213i
\(652\) −16.7932 20.4147i −0.657672 0.799501i
\(653\) 4.91090 + 16.1891i 0.192178 + 0.633527i 0.999082 + 0.0428438i \(0.0136418\pi\)
−0.806903 + 0.590683i \(0.798858\pi\)
\(654\) 12.7542 + 2.52936i 0.498731 + 0.0989059i
\(655\) 7.12177 + 17.1935i 0.278270 + 0.671804i
\(656\) −1.24909 1.86013i −0.0487688 0.0726259i
\(657\) 1.48397 3.58262i 0.0578952 0.139771i
\(658\) −36.1872 + 54.2254i −1.41072 + 2.11393i
\(659\) −42.5483 22.7426i −1.65745 0.885924i −0.989967 0.141296i \(-0.954873\pi\)
−0.667480 0.744628i \(-0.732627\pi\)
\(660\) −9.28860 + 30.7475i −0.361558 + 1.19684i
\(661\) −24.1791 19.8432i −0.940457 0.771813i 0.0332905 0.999446i \(-0.489401\pi\)
−0.973747 + 0.227633i \(0.926901\pi\)
\(662\) −8.60404 2.60461i −0.334406 0.101231i
\(663\) 4.19331 + 6.27573i 0.162854 + 0.243729i
\(664\) −1.13175 + 11.6974i −0.0439204 + 0.453949i
\(665\) −34.5582 23.0911i −1.34011 0.895434i
\(666\) 0.293154 2.99407i 0.0113595 0.116018i
\(667\) 25.3898 13.5711i 0.983098 0.525477i
\(668\) −10.5147 + 2.10406i −0.406826 + 0.0814087i
\(669\) 0.896177 9.09904i 0.0346482 0.351789i
\(670\) 0.0417353 + 72.6630i 0.00161238 + 2.80722i
\(671\) −6.92011 + 6.92011i −0.267148 + 0.267148i
\(672\) −13.7380 25.5253i −0.529953 0.984661i
\(673\) 15.7518 + 15.7518i 0.607187 + 0.607187i 0.942210 0.335023i \(-0.108744\pi\)
−0.335023 + 0.942210i \(0.608744\pi\)
\(674\) 4.42258 4.42766i 0.170351 0.170547i
\(675\) −10.4368 1.02794i −0.401714 0.0395654i
\(676\) −13.7976 2.72805i −0.530678 0.104925i
\(677\) 19.1099 + 35.7522i 0.734455 + 1.37407i 0.920192 + 0.391468i \(0.128033\pi\)
−0.185737 + 0.982600i \(0.559467\pi\)
\(678\) 15.9062 + 19.3591i 0.610875 + 0.743482i
\(679\) −29.3419 + 43.9132i −1.12604 + 1.68523i
\(680\) 9.92657 32.9277i 0.380667 1.26272i
\(681\) 5.57273 3.72358i 0.213548 0.142688i
\(682\) 5.06653 + 9.46573i 0.194007 + 0.362461i
\(683\) −3.60525 + 4.39301i −0.137951 + 0.168094i −0.837403 0.546585i \(-0.815927\pi\)
0.699452 + 0.714679i \(0.253427\pi\)
\(684\) 4.10172 0.408742i 0.156833 0.0156286i
\(685\) −20.7523 + 38.8248i −0.792904 + 1.48342i
\(686\) 17.3811 + 87.1192i 0.663614 + 3.32623i
\(687\) −9.83278 4.07287i −0.375144 0.155390i
\(688\) 19.8823 + 16.2407i 0.758006 + 0.619171i
\(689\) −8.43205 + 3.49267i −0.321235 + 0.133060i
\(690\) 11.5788 + 17.3073i 0.440796 + 0.658878i
\(691\) 10.2924 3.12216i 0.391541 0.118773i −0.0883747 0.996087i \(-0.528167\pi\)
0.479916 + 0.877315i \(0.340667\pi\)
\(692\) 21.4849 6.54433i 0.816733 0.248778i
\(693\) 2.04971 + 20.8111i 0.0778622 + 0.790548i
\(694\) −43.0081 + 4.26087i −1.63257 + 0.161740i
\(695\) 46.2642 + 9.20251i 1.75490 + 0.349071i
\(696\) 12.0599 18.1165i 0.457130 0.686703i
\(697\) −0.337643 1.69744i −0.0127891 0.0642953i
\(698\) −4.50068 + 8.43183i −0.170353 + 0.319149i
\(699\) 1.07794 3.55351i 0.0407716 0.134406i
\(700\) −41.2451 99.2519i −1.55892 3.75137i
\(701\) −34.7865 + 28.5485i −1.31387 + 1.07826i −0.322581 + 0.946542i \(0.604550\pi\)
−0.991287 + 0.131721i \(0.957950\pi\)
\(702\) −3.19101 + 1.32391i −0.120437 + 0.0499676i
\(703\) 4.38430i 0.165357i
\(704\) 20.6241 25.3078i 0.777298 0.953825i
\(705\) 35.4020i 1.33332i
\(706\) −2.42348 5.84132i −0.0912091 0.219841i
\(707\) −20.5227 + 16.8426i −0.771836 + 0.633429i
\(708\) −3.95387 1.63243i −0.148596 0.0613504i
\(709\) −13.6432 + 44.9755i −0.512380 + 1.68909i 0.193786 + 0.981044i \(0.437923\pi\)
−0.706166 + 0.708047i \(0.749577\pi\)
\(710\) −28.5286 15.2278i −1.07066 0.571490i
\(711\) −0.371267 1.86649i −0.0139236 0.0699987i
\(712\) −7.13772 + 36.2097i −0.267497 + 1.35702i
\(713\) 6.82665 + 1.35791i 0.255660 + 0.0508540i
\(714\) −2.20747 22.2816i −0.0826124 0.833867i
\(715\) 3.84545 + 39.0435i 0.143812 + 1.46014i
\(716\) 19.7417 + 10.5230i 0.737784 + 0.393265i
\(717\) −28.6369 + 8.68691i −1.06946 + 0.324418i
\(718\) 17.3768 11.6252i 0.648495 0.433850i
\(719\) −36.6450 + 15.1789i −1.36663 + 0.566076i −0.940872 0.338761i \(-0.889992\pi\)
−0.425757 + 0.904838i \(0.639992\pi\)
\(720\) 13.8998 + 7.38861i 0.518017 + 0.275357i
\(721\) −77.0296 31.9067i −2.86873 1.18827i
\(722\) 20.4596 4.08188i 0.761426 0.151912i
\(723\) 2.70397 5.05877i 0.100562 0.188138i
\(724\) 18.3674 22.4332i 0.682619 0.833725i
\(725\) 51.1925 62.3783i 1.90124 2.31667i
\(726\) −7.04930 + 3.77313i −0.261624 + 0.140034i
\(727\) −5.17871 + 3.46031i −0.192068 + 0.128336i −0.647886 0.761737i \(-0.724347\pi\)
0.455818 + 0.890073i \(0.349347\pi\)
\(728\) −27.4082 22.4144i −1.01581 0.830732i
\(729\) 0.555570 0.831470i 0.0205767 0.0307952i
\(730\) −16.6751 + 13.7010i −0.617175 + 0.507096i
\(731\) 9.34776 + 17.4884i 0.345740 + 0.646833i
\(732\) 2.66924 + 3.98488i 0.0986578 + 0.147285i
\(733\) −25.2585 2.48775i −0.932945 0.0918871i −0.379890 0.925032i \(-0.624038\pi\)
−0.553055 + 0.833145i \(0.686538\pi\)
\(734\) −11.4701 11.4569i −0.423368 0.422882i
\(735\) −53.5916 53.5916i −1.97676 1.97676i
\(736\) −4.18872 20.7465i −0.154398 0.764728i
\(737\) −37.6748 + 37.6748i −1.38777 + 1.38777i
\(738\) 0.792173 0.000455000i 0.0291603 1.67488e-5i
\(739\) 4.70193 47.7395i 0.172963 1.75613i −0.381918 0.924196i \(-0.624736\pi\)
0.554881 0.831930i \(-0.312764\pi\)
\(740\) −9.28600 + 13.9321i −0.341360 + 0.512154i
\(741\) 4.44030 2.37339i 0.163119 0.0871887i
\(742\) 26.9461 + 2.63833i 0.989221 + 0.0968561i
\(743\) −31.1677 20.8256i −1.14343 0.764016i −0.168320 0.985732i \(-0.553834\pi\)
−0.975111 + 0.221716i \(0.928834\pi\)
\(744\) 5.03256 1.53609i 0.184503 0.0563156i
\(745\) 7.39712 + 11.0706i 0.271010 + 0.405594i
\(746\) 10.3221 34.0981i 0.377921 1.24842i
\(747\) −3.21185 2.63589i −0.117515 0.0964423i
\(748\) 22.2262 11.9130i 0.812670 0.435582i
\(749\) 78.3889 + 41.8997i 2.86427 + 1.53098i
\(750\) 25.4026 + 16.9524i 0.927571 + 0.619013i
\(751\) −8.81055 + 21.2706i −0.321502 + 0.776173i 0.677666 + 0.735370i \(0.262992\pi\)
−0.999167 + 0.0408033i \(0.987008\pi\)
\(752\) −13.6937 + 33.2757i −0.499360 + 1.21344i
\(753\) 0.668864 + 1.61478i 0.0243748 + 0.0588459i
\(754\) 5.17105 26.0749i 0.188318 0.949591i
\(755\) 7.98551 + 26.3247i 0.290622 + 0.958054i
\(756\) 10.2004 + 0.992823i 0.370986 + 0.0361086i
\(757\) 52.7973 5.20008i 1.91895 0.189000i 0.933453 0.358699i \(-0.116780\pi\)
0.985496 + 0.169699i \(0.0542796\pi\)
\(758\) −31.8544 + 38.8602i −1.15700 + 1.41147i
\(759\) −2.97878 + 14.9753i −0.108123 + 0.543570i
\(760\) −21.2099 8.74266i −0.769365 0.317130i
\(761\) −16.9441 + 3.37040i −0.614225 + 0.122177i −0.492392 0.870374i \(-0.663877\pi\)
−0.121833 + 0.992551i \(0.538877\pi\)
\(762\) −6.78461 + 2.06235i −0.245781 + 0.0747109i
\(763\) −45.0855 13.6765i −1.63220 0.495124i
\(764\) −6.57031 + 6.58542i −0.237706 + 0.238252i
\(765\) 7.71371 + 9.39919i 0.278890 + 0.339828i
\(766\) −7.42600 + 17.9571i −0.268312 + 0.648817i
\(767\) −5.22483 −0.188658
\(768\) −10.2070 12.3214i −0.368314 0.444610i
\(769\) 39.5594 1.42655 0.713275 0.700884i \(-0.247211\pi\)
0.713275 + 0.700884i \(0.247211\pi\)
\(770\) 44.4766 107.551i 1.60282 3.87586i
\(771\) 8.13689 + 9.91483i 0.293043 + 0.357074i
\(772\) 27.7045 27.7682i 0.997106 0.999400i
\(773\) 0.702428 + 0.213079i 0.0252646 + 0.00766393i 0.302892 0.953025i \(-0.402048\pi\)
−0.277627 + 0.960689i \(0.589548\pi\)