Properties

Label 300.2.r.a.179.38
Level $300$
Weight $2$
Character 300.179
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.r (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 179.38
Character \(\chi\) \(=\) 300.179
Dual form 300.2.r.a.119.38

$q$-expansion

\(f(q)\) \(=\) \(q+(0.665414 + 1.24789i) q^{2} +(1.31594 - 1.12619i) q^{3} +(-1.11445 + 1.66072i) q^{4} +(2.18921 + 0.455347i) q^{5} +(2.28100 + 0.892759i) q^{6} -0.246481 q^{7} +(-2.81397 - 0.285636i) q^{8} +(0.463385 - 2.96400i) q^{9} +O(q^{10})\) \(q+(0.665414 + 1.24789i) q^{2} +(1.31594 - 1.12619i) q^{3} +(-1.11445 + 1.66072i) q^{4} +(2.18921 + 0.455347i) q^{5} +(2.28100 + 0.892759i) q^{6} -0.246481 q^{7} +(-2.81397 - 0.285636i) q^{8} +(0.463385 - 2.96400i) q^{9} +(0.888512 + 3.03489i) q^{10} +(-1.26970 + 3.90772i) q^{11} +(0.403750 + 3.44049i) q^{12} +(3.99376 - 1.29765i) q^{13} +(-0.164012 - 0.307581i) q^{14} +(3.39368 - 1.86627i) q^{15} +(-1.51601 - 3.70158i) q^{16} +(-1.31423 + 0.954847i) q^{17} +(4.00708 - 1.39403i) q^{18} +(-3.07602 - 4.23377i) q^{19} +(-3.19597 + 3.12822i) q^{20} +(-0.324354 + 0.277585i) q^{21} +(-5.72127 + 1.01582i) q^{22} +(-0.275788 - 0.0896090i) q^{23} +(-4.02469 + 2.79319i) q^{24} +(4.58532 + 1.99371i) q^{25} +(4.27683 + 4.12029i) q^{26} +(-2.72824 - 4.42230i) q^{27} +(0.274691 - 0.409338i) q^{28} +(-3.35289 + 4.61486i) q^{29} +(4.58709 + 2.99309i) q^{30} +(-2.15241 - 2.96253i) q^{31} +(3.61038 - 4.35490i) q^{32} +(2.73000 + 6.57224i) q^{33} +(-2.06605 - 1.00465i) q^{34} +(-0.539600 - 0.112235i) q^{35} +(4.40596 + 4.07277i) q^{36} +(-3.54844 + 1.15296i) q^{37} +(3.23645 - 6.65574i) q^{38} +(3.79414 - 6.20537i) q^{39} +(-6.03031 - 1.90665i) q^{40} +(6.74545 - 2.19173i) q^{41} +(-0.562225 - 0.220048i) q^{42} -5.82052 q^{43} +(-5.07464 - 6.46356i) q^{44} +(2.36410 - 6.27782i) q^{45} +(-0.0716913 - 0.403780i) q^{46} +(-1.31078 + 1.80414i) q^{47} +(-6.16367 - 3.16373i) q^{48} -6.93925 q^{49} +(0.563214 + 7.04860i) q^{50} +(-0.654110 + 2.73660i) q^{51} +(-2.29580 + 8.07871i) q^{52} +(-6.78949 - 4.93285i) q^{53} +(3.70312 - 6.34720i) q^{54} +(-4.55901 + 7.97668i) q^{55} +(0.693590 + 0.0704039i) q^{56} +(-8.81589 - 2.10720i) q^{57} +(-7.98989 - 1.11324i) q^{58} +(1.91013 + 5.87878i) q^{59} +(-0.682724 + 7.71582i) q^{60} +(3.54587 - 10.9131i) q^{61} +(2.26467 - 4.65727i) q^{62} +(-0.114216 + 0.730570i) q^{63} +(7.83682 + 1.60754i) q^{64} +(9.33409 - 1.02229i) q^{65} +(-6.38483 + 7.78000i) q^{66} +(5.77139 - 4.19316i) q^{67} +(-0.121093 - 3.24671i) q^{68} +(-0.463837 + 0.192670i) q^{69} +(-0.219002 - 0.748043i) q^{70} +(-12.8785 - 9.35677i) q^{71} +(-2.15057 + 8.20823i) q^{72} +(5.72041 + 1.85868i) q^{73} +(-3.79995 - 3.66086i) q^{74} +(8.27929 - 2.54035i) q^{75} +(10.4592 - 0.390097i) q^{76} +(0.312956 - 0.963180i) q^{77} +(10.2683 + 0.605517i) q^{78} +(5.94119 - 8.17734i) q^{79} +(-1.63337 - 8.79387i) q^{80} +(-8.57055 - 2.74694i) q^{81} +(7.22355 + 6.95915i) q^{82} +(10.0850 + 13.8808i) q^{83} +(-0.0995168 - 0.848017i) q^{84} +(-3.31193 + 1.49193i) q^{85} +(-3.87305 - 7.26335i) q^{86} +(0.785019 + 9.84887i) q^{87} +(4.68907 - 10.6335i) q^{88} +(6.78124 + 2.20336i) q^{89} +(9.40712 - 1.22722i) q^{90} +(-0.984388 + 0.319847i) q^{91} +(0.456167 - 0.358143i) q^{92} +(-6.16881 - 1.47449i) q^{93} +(-3.12357 - 0.435211i) q^{94} +(-4.80622 - 10.6693i) q^{95} +(-0.153411 - 9.79676i) q^{96} +(-10.0253 + 13.7987i) q^{97} +(-4.61747 - 8.65940i) q^{98} +(10.9941 + 5.57415i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} - 5q^{12} - 20q^{13} + 6q^{16} - 24q^{21} - 10q^{22} - 28q^{24} - 20q^{25} - 50q^{28} - 25q^{30} - 10q^{33} - 14q^{34} - 25q^{36} - 60q^{37} - 20q^{40} - 85q^{42} - 30q^{45} + 6q^{46} - 70q^{48} + 88q^{49} + 40q^{52} - 46q^{54} + 50q^{58} + 10q^{60} - 28q^{61} + 18q^{64} + 64q^{66} - 42q^{69} - 40q^{70} - 5q^{72} - 20q^{73} - 80q^{76} - 85q^{78} + 18q^{81} - 48q^{84} - 20q^{85} + 50q^{88} - 60q^{90} + 60q^{94} + 44q^{96} - 120q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{1}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.665414 + 1.24789i 0.470519 + 0.882390i
\(3\) 1.31594 1.12619i 0.759757 0.650207i
\(4\) −1.11445 + 1.66072i −0.557224 + 0.830362i
\(5\) 2.18921 + 0.455347i 0.979046 + 0.203638i
\(6\) 2.28100 + 0.892759i 0.931216 + 0.364467i
\(7\) −0.246481 −0.0931612 −0.0465806 0.998915i \(-0.514832\pi\)
−0.0465806 + 0.998915i \(0.514832\pi\)
\(8\) −2.81397 0.285636i −0.994888 0.100988i
\(9\) 0.463385 2.96400i 0.154462 0.987999i
\(10\) 0.888512 + 3.03489i 0.280972 + 0.959716i
\(11\) −1.26970 + 3.90772i −0.382828 + 1.17822i 0.555216 + 0.831706i \(0.312635\pi\)
−0.938044 + 0.346516i \(0.887365\pi\)
\(12\) 0.403750 + 3.44049i 0.116553 + 0.993185i
\(13\) 3.99376 1.29765i 1.10767 0.359904i 0.302621 0.953111i \(-0.402138\pi\)
0.805050 + 0.593207i \(0.202138\pi\)
\(14\) −0.164012 0.307581i −0.0438341 0.0822045i
\(15\) 3.39368 1.86627i 0.876244 0.481868i
\(16\) −1.51601 3.70158i −0.379003 0.925395i
\(17\) −1.31423 + 0.954847i −0.318749 + 0.231584i −0.735641 0.677371i \(-0.763119\pi\)
0.416893 + 0.908956i \(0.363119\pi\)
\(18\) 4.00708 1.39403i 0.944477 0.328577i
\(19\) −3.07602 4.23377i −0.705686 0.971294i −0.999879 0.0155480i \(-0.995051\pi\)
0.294193 0.955746i \(-0.404949\pi\)
\(20\) −3.19597 + 3.12822i −0.714641 + 0.699491i
\(21\) −0.324354 + 0.277585i −0.0707799 + 0.0605740i
\(22\) −5.72127 + 1.01582i −1.21978 + 0.216573i
\(23\) −0.275788 0.0896090i −0.0575058 0.0186848i 0.280123 0.959964i \(-0.409625\pi\)
−0.337629 + 0.941279i \(0.609625\pi\)
\(24\) −4.02469 + 2.79319i −0.821536 + 0.570157i
\(25\) 4.58532 + 1.99371i 0.917064 + 0.398741i
\(26\) 4.27683 + 4.12029i 0.838756 + 0.808056i
\(27\) −2.72824 4.42230i −0.525050 0.851071i
\(28\) 0.274691 0.409338i 0.0519116 0.0773575i
\(29\) −3.35289 + 4.61486i −0.622617 + 0.856958i −0.997540 0.0700974i \(-0.977669\pi\)
0.374923 + 0.927056i \(0.377669\pi\)
\(30\) 4.58709 + 2.99309i 0.837485 + 0.546461i
\(31\) −2.15241 2.96253i −0.386584 0.532087i 0.570730 0.821138i \(-0.306660\pi\)
−0.957314 + 0.289051i \(0.906660\pi\)
\(32\) 3.61038 4.35490i 0.638231 0.769845i
\(33\) 2.73000 + 6.57224i 0.475232 + 1.14408i
\(34\) −2.06605 1.00465i −0.354325 0.172296i
\(35\) −0.539600 0.112235i −0.0912091 0.0189711i
\(36\) 4.40596 + 4.07277i 0.734327 + 0.678796i
\(37\) −3.54844 + 1.15296i −0.583361 + 0.189545i −0.585806 0.810452i \(-0.699222\pi\)
0.00244493 + 0.999997i \(0.499222\pi\)
\(38\) 3.23645 6.65574i 0.525021 1.07970i
\(39\) 3.79414 6.20537i 0.607549 0.993655i
\(40\) −6.03031 1.90665i −0.953476 0.301468i
\(41\) 6.74545 2.19173i 1.05346 0.342291i 0.269436 0.963018i \(-0.413163\pi\)
0.784026 + 0.620728i \(0.213163\pi\)
\(42\) −0.562225 0.220048i −0.0867532 0.0339542i
\(43\) −5.82052 −0.887621 −0.443810 0.896121i \(-0.646374\pi\)
−0.443810 + 0.896121i \(0.646374\pi\)
\(44\) −5.07464 6.46356i −0.765031 0.974419i
\(45\) 2.36410 6.27782i 0.352419 0.935842i
\(46\) −0.0716913 0.403780i −0.0105703 0.0595340i
\(47\) −1.31078 + 1.80414i −0.191197 + 0.263160i −0.893844 0.448379i \(-0.852002\pi\)
0.702646 + 0.711539i \(0.252002\pi\)
\(48\) −6.16367 3.16373i −0.889649 0.456645i
\(49\) −6.93925 −0.991321
\(50\) 0.563214 + 7.04860i 0.0796505 + 0.996823i
\(51\) −0.654110 + 2.73660i −0.0915937 + 0.383200i
\(52\) −2.29580 + 8.07871i −0.318370 + 1.12032i
\(53\) −6.78949 4.93285i −0.932608 0.677580i 0.0140218 0.999902i \(-0.495537\pi\)
−0.946630 + 0.322322i \(0.895537\pi\)
\(54\) 3.70312 6.34720i 0.503930 0.863744i
\(55\) −4.55901 + 7.97668i −0.614736 + 1.07558i
\(56\) 0.693590 + 0.0704039i 0.0926849 + 0.00940812i
\(57\) −8.81589 2.10720i −1.16769 0.279105i
\(58\) −7.98989 1.11324i −1.04912 0.146176i
\(59\) 1.91013 + 5.87878i 0.248678 + 0.765352i 0.995010 + 0.0997779i \(0.0318132\pi\)
−0.746332 + 0.665574i \(0.768187\pi\)
\(60\) −0.682724 + 7.71582i −0.0881393 + 0.996108i
\(61\) 3.54587 10.9131i 0.454002 1.39728i −0.418300 0.908309i \(-0.637374\pi\)
0.872302 0.488967i \(-0.162626\pi\)
\(62\) 2.26467 4.65727i 0.287613 0.591474i
\(63\) −0.114216 + 0.730570i −0.0143898 + 0.0920431i
\(64\) 7.83682 + 1.60754i 0.979603 + 0.200943i
\(65\) 9.33409 1.02229i 1.15775 0.126799i
\(66\) −6.38483 + 7.78000i −0.785919 + 0.957651i
\(67\) 5.77139 4.19316i 0.705087 0.512276i −0.176498 0.984301i \(-0.556477\pi\)
0.881585 + 0.472025i \(0.156477\pi\)
\(68\) −0.121093 3.24671i −0.0146846 0.393721i
\(69\) −0.463837 + 0.192670i −0.0558394 + 0.0231948i
\(70\) −0.219002 0.748043i −0.0261757 0.0894083i
\(71\) −12.8785 9.35677i −1.52840 1.11044i −0.957122 0.289686i \(-0.906449\pi\)
−0.571274 0.820759i \(-0.693551\pi\)
\(72\) −2.15057 + 8.20823i −0.253448 + 0.967349i
\(73\) 5.72041 + 1.85868i 0.669524 + 0.217541i 0.624003 0.781422i \(-0.285505\pi\)
0.0455208 + 0.998963i \(0.485505\pi\)
\(74\) −3.79995 3.66086i −0.441735 0.425567i
\(75\) 8.27929 2.54035i 0.956010 0.293335i
\(76\) 10.4592 0.390097i 1.19975 0.0447471i
\(77\) 0.312956 0.963180i 0.0356647 0.109765i
\(78\) 10.2683 + 0.605517i 1.16265 + 0.0685613i
\(79\) 5.94119 8.17734i 0.668436 0.920023i −0.331288 0.943530i \(-0.607483\pi\)
0.999724 + 0.0235069i \(0.00748317\pi\)
\(80\) −1.63337 8.79387i −0.182616 0.983184i
\(81\) −8.57055 2.74694i −0.952283 0.305216i
\(82\) 7.22355 + 6.95915i 0.797707 + 0.768510i
\(83\) 10.0850 + 13.8808i 1.10697 + 1.52361i 0.825805 + 0.563955i \(0.190721\pi\)
0.281165 + 0.959659i \(0.409279\pi\)
\(84\) −0.0995168 0.848017i −0.0108582 0.0925262i
\(85\) −3.31193 + 1.49193i −0.359229 + 0.161823i
\(86\) −3.87305 7.26335i −0.417642 0.783227i
\(87\) 0.785019 + 9.84887i 0.0841629 + 1.05591i
\(88\) 4.68907 10.6335i 0.499856 1.13354i
\(89\) 6.78124 + 2.20336i 0.718810 + 0.233555i 0.645507 0.763754i \(-0.276646\pi\)
0.0733027 + 0.997310i \(0.476646\pi\)
\(90\) 9.40712 1.22722i 0.991598 0.129361i
\(91\) −0.984388 + 0.319847i −0.103192 + 0.0335291i
\(92\) 0.456167 0.358143i 0.0475587 0.0373390i
\(93\) −6.16881 1.47449i −0.639676 0.152897i
\(94\) −3.12357 0.435211i −0.322172 0.0448886i
\(95\) −4.80622 10.6693i −0.493108 1.09465i
\(96\) −0.153411 9.79676i −0.0156574 0.999877i
\(97\) −10.0253 + 13.7987i −1.01792 + 1.40105i −0.104267 + 0.994549i \(0.533250\pi\)
−0.913652 + 0.406496i \(0.866750\pi\)
\(98\) −4.61747 8.65940i −0.466435 0.874732i
\(99\) 10.9941 + 5.57415i 1.10495 + 0.560223i
\(100\) −8.42109 + 5.39307i −0.842109 + 0.539307i
\(101\) 7.63713i 0.759923i −0.925002 0.379962i \(-0.875937\pi\)
0.925002 0.379962i \(-0.124063\pi\)
\(102\) −3.85022 + 1.00472i −0.381229 + 0.0994817i
\(103\) 6.02762 + 4.37932i 0.593919 + 0.431507i 0.843715 0.536791i \(-0.180364\pi\)
−0.249796 + 0.968298i \(0.580364\pi\)
\(104\) −11.6090 + 2.51079i −1.13835 + 0.246203i
\(105\) −0.836478 + 0.460000i −0.0816319 + 0.0448914i
\(106\) 1.63782 11.7549i 0.159080 1.14174i
\(107\) 7.94261i 0.767841i 0.923366 + 0.383921i \(0.125426\pi\)
−0.923366 + 0.383921i \(0.874574\pi\)
\(108\) 10.3847 + 0.397559i 0.999268 + 0.0382551i
\(109\) −2.21780 6.82569i −0.212427 0.653782i −0.999326 0.0367011i \(-0.988315\pi\)
0.786900 0.617081i \(-0.211685\pi\)
\(110\) −12.9876 0.381327i −1.23832 0.0363581i
\(111\) −3.37108 + 5.51345i −0.319969 + 0.523314i
\(112\) 0.373669 + 0.912371i 0.0353084 + 0.0862109i
\(113\) 4.57733 + 14.0876i 0.430599 + 1.32525i 0.897530 + 0.440954i \(0.145360\pi\)
−0.466931 + 0.884294i \(0.654640\pi\)
\(114\) −3.23667 12.4034i −0.303142 1.16168i
\(115\) −0.562956 0.321753i −0.0524959 0.0300036i
\(116\) −3.92739 10.7113i −0.364649 0.994515i
\(117\) −1.99559 12.4388i −0.184492 1.14997i
\(118\) −6.06503 + 6.29545i −0.558331 + 0.579543i
\(119\) 0.323934 0.235352i 0.0296950 0.0215747i
\(120\) −10.0828 + 4.28225i −0.920427 + 0.390915i
\(121\) −4.75897 3.45759i −0.432633 0.314327i
\(122\) 15.9778 2.83686i 1.44656 0.256837i
\(123\) 6.40828 10.4808i 0.577815 0.945026i
\(124\) 7.31870 0.272966i 0.657238 0.0245130i
\(125\) 9.13041 + 6.45256i 0.816649 + 0.577135i
\(126\) −0.987670 + 0.343603i −0.0879886 + 0.0306106i
\(127\) −4.54072 + 13.9749i −0.402924 + 1.24007i 0.519693 + 0.854353i \(0.326046\pi\)
−0.922617 + 0.385718i \(0.873954\pi\)
\(128\) 3.20870 + 10.8492i 0.283612 + 0.958939i
\(129\) −7.65944 + 6.55502i −0.674376 + 0.577137i
\(130\) 7.48674 + 10.9676i 0.656630 + 0.961926i
\(131\) 8.33739 6.05747i 0.728441 0.529243i −0.160629 0.987015i \(-0.551352\pi\)
0.889070 + 0.457771i \(0.151352\pi\)
\(132\) −13.9571 2.79063i −1.21481 0.242894i
\(133\) 0.758180 + 1.04355i 0.0657426 + 0.0904869i
\(134\) 9.07295 + 4.41186i 0.783784 + 0.381126i
\(135\) −3.95903 10.9236i −0.340739 0.940158i
\(136\) 3.97095 2.31152i 0.340506 0.198211i
\(137\) −3.71363 11.4294i −0.317277 0.976477i −0.974807 0.223049i \(-0.928399\pi\)
0.657531 0.753428i \(-0.271601\pi\)
\(138\) −0.549074 0.450611i −0.0467403 0.0383585i
\(139\) 3.61357 + 1.17412i 0.306499 + 0.0995876i 0.458228 0.888834i \(-0.348484\pi\)
−0.151729 + 0.988422i \(0.548484\pi\)
\(140\) 0.787747 0.771048i 0.0665768 0.0651654i
\(141\) 0.306896 + 3.85032i 0.0258453 + 0.324256i
\(142\) 3.10667 22.2970i 0.260706 1.87113i
\(143\) 17.2541i 1.44286i
\(144\) −11.6740 + 2.77820i −0.972831 + 0.231516i
\(145\) −9.44157 + 8.57619i −0.784080 + 0.712214i
\(146\) 1.48703 + 8.37522i 0.123067 + 0.693138i
\(147\) −9.13162 + 7.81492i −0.753163 + 0.644564i
\(148\) 2.03981 7.17790i 0.167671 0.590020i
\(149\) 21.6852i 1.77652i 0.459343 + 0.888259i \(0.348085\pi\)
−0.459343 + 0.888259i \(0.651915\pi\)
\(150\) 8.67923 + 8.64123i 0.708656 + 0.705554i
\(151\) 2.19919i 0.178967i 0.995988 + 0.0894837i \(0.0285217\pi\)
−0.995988 + 0.0894837i \(0.971478\pi\)
\(152\) 7.44649 + 12.7923i 0.603990 + 1.03759i
\(153\) 2.22117 + 4.33785i 0.179571 + 0.350694i
\(154\) 1.41019 0.250380i 0.113636 0.0201762i
\(155\) −3.36310 7.46571i −0.270130 0.599661i
\(156\) 6.07704 + 13.2166i 0.486553 + 1.05817i
\(157\) 6.23185i 0.497356i 0.968586 + 0.248678i \(0.0799961\pi\)
−0.968586 + 0.248678i \(0.920004\pi\)
\(158\) 14.1578 + 1.97261i 1.12633 + 0.156933i
\(159\) −14.4899 + 1.15494i −1.14912 + 0.0915926i
\(160\) 9.88689 7.88983i 0.781627 0.623746i
\(161\) 0.0679766 + 0.0220869i 0.00535731 + 0.00174069i
\(162\) −2.27509 12.5229i −0.178748 0.983895i
\(163\) 6.19937 + 19.0797i 0.485572 + 1.49444i 0.831150 + 0.556048i \(0.187683\pi\)
−0.345578 + 0.938390i \(0.612317\pi\)
\(164\) −3.87759 + 13.6449i −0.302789 + 1.06549i
\(165\) 2.98391 + 15.6311i 0.232297 + 1.21688i
\(166\) −10.6110 + 21.8214i −0.823571 + 1.69367i
\(167\) 0.181596 + 0.249946i 0.0140523 + 0.0193414i 0.815985 0.578073i \(-0.196195\pi\)
−0.801933 + 0.597414i \(0.796195\pi\)
\(168\) 0.992010 0.688468i 0.0765352 0.0531165i
\(169\) 3.74902 2.72382i 0.288386 0.209525i
\(170\) −4.06557 3.14016i −0.311815 0.240839i
\(171\) −13.9743 + 7.15543i −1.06864 + 0.547190i
\(172\) 6.48666 9.66628i 0.494603 0.737047i
\(173\) 0.316567 0.974293i 0.0240681 0.0740741i −0.938301 0.345820i \(-0.887601\pi\)
0.962369 + 0.271746i \(0.0876009\pi\)
\(174\) −11.7679 + 7.53320i −0.892124 + 0.571090i
\(175\) −1.13019 0.491411i −0.0854347 0.0371472i
\(176\) 16.3896 1.22427i 1.23541 0.0922829i
\(177\) 9.13425 + 5.58493i 0.686572 + 0.419789i
\(178\) 1.76279 + 9.92837i 0.132127 + 0.744163i
\(179\) 1.64924 + 1.19825i 0.123270 + 0.0895611i 0.647712 0.761885i \(-0.275726\pi\)
−0.524442 + 0.851446i \(0.675726\pi\)
\(180\) 7.79107 + 10.9224i 0.580712 + 0.814109i
\(181\) −3.35962 + 2.44090i −0.249718 + 0.181431i −0.705602 0.708608i \(-0.749323\pi\)
0.455884 + 0.890039i \(0.349323\pi\)
\(182\) −1.05416 1.01557i −0.0781395 0.0752794i
\(183\) −7.62406 18.3543i −0.563587 1.35679i
\(184\) 0.750463 + 0.330932i 0.0553249 + 0.0243966i
\(185\) −8.29330 + 0.908300i −0.609736 + 0.0667796i
\(186\) −2.26482 8.67913i −0.166065 0.636385i
\(187\) −2.06260 6.34802i −0.150832 0.464213i
\(188\) −1.53538 4.18747i −0.111979 0.305402i
\(189\) 0.672461 + 1.09001i 0.0489143 + 0.0792868i
\(190\) 10.1160 13.0971i 0.733888 0.950165i
\(191\) −3.75858 11.5677i −0.271961 0.837010i −0.990007 0.141015i \(-0.954964\pi\)
0.718047 0.695995i \(-0.245036\pi\)
\(192\) 12.1232 6.71034i 0.874915 0.484277i
\(193\) 18.6477i 1.34229i −0.741325 0.671146i \(-0.765802\pi\)
0.741325 0.671146i \(-0.234198\pi\)
\(194\) −23.8902 3.32865i −1.71522 0.238983i
\(195\) 11.1318 11.8572i 0.797164 0.849114i
\(196\) 7.73343 11.5242i 0.552388 0.823156i
\(197\) 2.04615 + 1.48662i 0.145782 + 0.105917i 0.658286 0.752768i \(-0.271282\pi\)
−0.512504 + 0.858685i \(0.671282\pi\)
\(198\) 0.359723 + 17.4285i 0.0255644 + 1.23859i
\(199\) 6.54235i 0.463775i 0.972743 + 0.231888i \(0.0744901\pi\)
−0.972743 + 0.231888i \(0.925510\pi\)
\(200\) −12.3335 6.91995i −0.872107 0.489315i
\(201\) 2.87249 12.0176i 0.202610 0.847658i
\(202\) 9.53028 5.08186i 0.670548 0.357558i
\(203\) 0.826426 1.13748i 0.0580037 0.0798352i
\(204\) −3.81577 4.13609i −0.267157 0.289584i
\(205\) 15.7652 1.72664i 1.10109 0.120594i
\(206\) −1.45404 + 10.4359i −0.101308 + 0.727100i
\(207\) −0.393397 + 0.775911i −0.0273430 + 0.0539296i
\(208\) −10.8580 12.8160i −0.752864 0.888629i
\(209\) 20.4500 6.64461i 1.41456 0.459617i
\(210\) −1.13063 0.737741i −0.0780210 0.0509089i
\(211\) 25.3342 + 8.23159i 1.74408 + 0.566686i 0.995362 0.0962019i \(-0.0306694\pi\)
0.748719 + 0.662888i \(0.230669\pi\)
\(212\) 15.7586 5.77807i 1.08231 0.396839i
\(213\) −27.4848 + 2.19072i −1.88323 + 0.150106i
\(214\) −9.91149 + 5.28513i −0.677536 + 0.361284i
\(215\) −12.7424 2.65036i −0.869022 0.180753i
\(216\) 6.41402 + 13.2235i 0.436419 + 0.899744i
\(217\) 0.530528 + 0.730209i 0.0360146 + 0.0495698i
\(218\) 7.04193 7.30947i 0.476940 0.495060i
\(219\) 9.62093 3.99638i 0.650122 0.270050i
\(220\) −8.16630 16.4609i −0.550572 1.10979i
\(221\) −4.00968 + 5.51885i −0.269720 + 0.371238i
\(222\) −9.12333 0.537999i −0.612318 0.0361082i
\(223\) 6.10431 18.7871i 0.408775 1.25808i −0.508927 0.860809i \(-0.669958\pi\)
0.917702 0.397269i \(-0.130042\pi\)
\(224\) −0.889892 + 1.07340i −0.0594584 + 0.0717196i
\(225\) 8.03410 12.6670i 0.535607 0.844467i
\(226\) −14.5339 + 15.0861i −0.966780 + 1.00351i
\(227\) 13.0710 + 4.24704i 0.867556 + 0.281886i 0.708781 0.705429i \(-0.249246\pi\)
0.158775 + 0.987315i \(0.449246\pi\)
\(228\) 13.3243 12.2924i 0.882425 0.814084i
\(229\) 19.9299 + 14.4799i 1.31700 + 0.956858i 0.999964 + 0.00844498i \(0.00268815\pi\)
0.317038 + 0.948413i \(0.397312\pi\)
\(230\) 0.0269122 0.916604i 0.00177454 0.0604391i
\(231\) −0.672894 1.61993i −0.0442732 0.106584i
\(232\) 10.7531 12.0284i 0.705976 0.789701i
\(233\) −15.5693 + 11.3117i −1.01998 + 0.741057i −0.966278 0.257501i \(-0.917101\pi\)
−0.0536988 + 0.998557i \(0.517101\pi\)
\(234\) 14.1944 10.7672i 0.927914 0.703876i
\(235\) −3.69109 + 3.35278i −0.240780 + 0.218711i
\(236\) −11.8918 3.37939i −0.774089 0.219980i
\(237\) −1.39102 17.4518i −0.0903565 1.13362i
\(238\) 0.509243 + 0.247627i 0.0330093 + 0.0160513i
\(239\) −1.33007 + 4.09355i −0.0860353 + 0.264790i −0.984814 0.173613i \(-0.944456\pi\)
0.898779 + 0.438403i \(0.144456\pi\)
\(240\) −12.0530 9.73270i −0.778017 0.628243i
\(241\) −2.94922 9.07678i −0.189976 0.584687i 0.810022 0.586399i \(-0.199455\pi\)
−0.999999 + 0.00171228i \(0.999455\pi\)
\(242\) 1.14800 8.23939i 0.0737964 0.529648i
\(243\) −14.3719 + 6.03727i −0.921957 + 0.387291i
\(244\) 14.1719 + 18.0508i 0.907264 + 1.15558i
\(245\) −15.1915 3.15977i −0.970549 0.201870i
\(246\) 17.3431 + 1.02271i 1.10575 + 0.0652059i
\(247\) −17.7788 12.9171i −1.13124 0.821895i
\(248\) 5.21060 + 8.95128i 0.330873 + 0.568407i
\(249\) 28.9036 + 6.90863i 1.83169 + 0.437817i
\(250\) −1.97657 + 15.6874i −0.125009 + 0.992156i
\(251\) 2.01118 0.126945 0.0634723 0.997984i \(-0.479783\pi\)
0.0634723 + 0.997984i \(0.479783\pi\)
\(252\) −1.08599 1.00386i −0.0684108 0.0632374i
\(253\) 0.700334 0.963926i 0.0440296 0.0606015i
\(254\) −20.4606 + 3.63279i −1.28381 + 0.227941i
\(255\) −2.67809 + 5.69315i −0.167708 + 0.356519i
\(256\) −11.4034 + 11.2233i −0.712713 + 0.701455i
\(257\) −16.9850 −1.05949 −0.529747 0.848156i \(-0.677713\pi\)
−0.529747 + 0.848156i \(0.677713\pi\)
\(258\) −13.2766 5.19632i −0.826567 0.323509i
\(259\) 0.874625 0.284183i 0.0543466 0.0176583i
\(260\) −8.70461 + 16.6406i −0.539837 + 1.03201i
\(261\) 12.1248 + 12.0764i 0.750503 + 0.747512i
\(262\) 13.1069 + 6.37340i 0.809744 + 0.393750i
\(263\) 9.09644 2.95561i 0.560910 0.182251i −0.0148204 0.999890i \(-0.504718\pi\)
0.575731 + 0.817639i \(0.304718\pi\)
\(264\) −5.80487 19.2738i −0.357265 1.18622i
\(265\) −12.6175 13.8907i −0.775086 0.853296i
\(266\) −0.797724 + 1.64051i −0.0489116 + 0.100586i
\(267\) 11.4051 4.73749i 0.697980 0.289930i
\(268\) 0.531771 + 14.2577i 0.0324831 + 0.870930i
\(269\) −19.0852 26.2686i −1.16365 1.60162i −0.696754 0.717310i \(-0.745373\pi\)
−0.466893 0.884314i \(-0.654627\pi\)
\(270\) 10.9971 12.2092i 0.669262 0.743026i
\(271\) 10.1247 13.9354i 0.615031 0.846518i −0.381948 0.924184i \(-0.624747\pi\)
0.996979 + 0.0776657i \(0.0247467\pi\)
\(272\) 5.52684 + 3.41719i 0.335114 + 0.207197i
\(273\) −0.935184 + 1.52951i −0.0565999 + 0.0925700i
\(274\) 11.7915 12.2395i 0.712349 0.739412i
\(275\) −13.6128 + 15.3867i −0.820883 + 0.927855i
\(276\) 0.196949 0.985026i 0.0118550 0.0592916i
\(277\) 9.56277 + 3.10713i 0.574571 + 0.186689i 0.581867 0.813284i \(-0.302322\pi\)
−0.00729607 + 0.999973i \(0.502322\pi\)
\(278\) 0.939351 + 5.29061i 0.0563386 + 0.317310i
\(279\) −9.77833 + 5.00693i −0.585413 + 0.299757i
\(280\) 1.48636 + 0.469954i 0.0888270 + 0.0280851i
\(281\) −15.4094 21.2092i −0.919248 1.26524i −0.963909 0.266234i \(-0.914221\pi\)
0.0446610 0.999002i \(-0.485779\pi\)
\(282\) −4.60056 + 2.94503i −0.273959 + 0.175374i
\(283\) 5.95188 4.32430i 0.353803 0.257053i −0.396660 0.917966i \(-0.629831\pi\)
0.750463 + 0.660913i \(0.229831\pi\)
\(284\) 29.8914 10.9600i 1.77373 0.650356i
\(285\) −18.3404 8.62740i −1.08639 0.511043i
\(286\) −21.5312 + 11.4811i −1.27317 + 0.678894i
\(287\) −1.66263 + 0.540220i −0.0981417 + 0.0318882i
\(288\) −11.2349 12.7192i −0.662023 0.749483i
\(289\) −4.43781 + 13.6582i −0.261048 + 0.803422i
\(290\) −16.9847 6.07530i −0.997375 0.356754i
\(291\) 2.34725 + 29.4487i 0.137598 + 1.72631i
\(292\) −9.46185 + 7.42864i −0.553713 + 0.434728i
\(293\) 6.60240 0.385716 0.192858 0.981227i \(-0.438224\pi\)
0.192858 + 0.981227i \(0.438224\pi\)
\(294\) −15.8285 6.19507i −0.923134 0.361304i
\(295\) 1.50480 + 13.7397i 0.0876128 + 0.799955i
\(296\) 10.3145 2.23083i 0.599520 0.129664i
\(297\) 20.7451 5.04624i 1.20375 0.292812i
\(298\) −27.0607 + 14.4296i −1.56758 + 0.835885i
\(299\) −1.21771 −0.0704222
\(300\) −5.00801 + 16.5807i −0.289137 + 0.957288i
\(301\) 1.43465 0.0826918
\(302\) −2.74434 + 1.46337i −0.157919 + 0.0842075i
\(303\) −8.60087 10.0500i −0.494107 0.577357i
\(304\) −11.0084 + 17.8046i −0.631374 + 1.02116i
\(305\) 12.7319 22.2764i 0.729027 1.27555i
\(306\) −3.93515 + 5.65823i −0.224958 + 0.323460i
\(307\) 8.01588 0.457490 0.228745 0.973486i \(-0.426538\pi\)
0.228745 + 0.973486i \(0.426538\pi\)
\(308\) 1.25080 + 1.59315i 0.0712711 + 0.0907780i
\(309\) 12.8639 1.02534i 0.731803 0.0583295i
\(310\) 7.07852 9.16456i 0.402033 0.520512i
\(311\) 2.71931 8.36916i 0.154198 0.474572i −0.843881 0.536530i \(-0.819735\pi\)
0.998079 + 0.0619587i \(0.0197347\pi\)
\(312\) −12.4491 + 16.3780i −0.704789 + 0.927220i
\(313\) −11.9417 + 3.88011i −0.674987 + 0.219317i −0.626399 0.779502i \(-0.715472\pi\)
−0.0485877 + 0.998819i \(0.515472\pi\)
\(314\) −7.77665 + 4.14676i −0.438862 + 0.234015i
\(315\) −0.582706 + 1.54737i −0.0328317 + 0.0871842i
\(316\) 6.95917 + 18.9799i 0.391484 + 1.06770i
\(317\) 10.6049 7.70488i 0.595628 0.432749i −0.248696 0.968582i \(-0.580002\pi\)
0.844324 + 0.535832i \(0.180002\pi\)
\(318\) −11.0830 17.3132i −0.621504 0.970878i
\(319\) −13.7764 18.9616i −0.771332 1.06165i
\(320\) 16.4245 + 7.08773i 0.918157 + 0.396216i
\(321\) 8.94491 + 10.4520i 0.499256 + 0.583373i
\(322\) 0.0176706 + 0.0995241i 0.000984743 + 0.00554626i
\(323\) 8.08521 + 2.62704i 0.449873 + 0.146173i
\(324\) 14.1133 11.1720i 0.784075 0.620666i
\(325\) 20.8998 + 2.01224i 1.15931 + 0.111619i
\(326\) −19.6842 + 20.4320i −1.09021 + 1.13163i
\(327\) −10.6055 6.48451i −0.586486 0.358594i
\(328\) −19.6075 + 4.24071i −1.08264 + 0.234154i
\(329\) 0.323083 0.444686i 0.0178122 0.0245163i
\(330\) −17.5204 + 14.1248i −0.964465 + 0.777543i
\(331\) −9.33454 12.8479i −0.513073 0.706184i 0.471361 0.881940i \(-0.343763\pi\)
−0.984434 + 0.175756i \(0.943763\pi\)
\(332\) −34.2914 + 1.27897i −1.88198 + 0.0701923i
\(333\) 1.77307 + 11.0518i 0.0971637 + 0.605637i
\(334\) −0.191068 + 0.392929i −0.0104548 + 0.0215001i
\(335\) 14.5441 6.55173i 0.794631 0.357959i
\(336\) 1.51923 + 0.779801i 0.0828807 + 0.0425416i
\(337\) 12.0260 3.90750i 0.655100 0.212855i 0.0374387 0.999299i \(-0.488080\pi\)
0.617662 + 0.786444i \(0.288080\pi\)
\(338\) 5.89368 + 2.86589i 0.320574 + 0.155884i
\(339\) 21.8888 + 13.3834i 1.18884 + 0.726888i
\(340\) 1.21328 7.16288i 0.0657995 0.388462i
\(341\) 14.3097 4.64949i 0.774911 0.251784i
\(342\) −18.2279 12.6770i −0.985649 0.685493i
\(343\) 3.43576 0.185514
\(344\) 16.3787 + 1.66255i 0.883083 + 0.0896386i
\(345\) −1.10317 + 0.210590i −0.0593927 + 0.0113378i
\(346\) 1.42646 0.253268i 0.0766868 0.0136158i
\(347\) 8.00841 11.0226i 0.429914 0.591726i −0.538019 0.842932i \(-0.680827\pi\)
0.967934 + 0.251206i \(0.0808273\pi\)
\(348\) −17.2311 9.67235i −0.923685 0.518493i
\(349\) −24.5103 −1.31201 −0.656003 0.754758i \(-0.727754\pi\)
−0.656003 + 0.754758i \(0.727754\pi\)
\(350\) −0.138822 1.73735i −0.00742034 0.0928652i
\(351\) −16.6346 14.1213i −0.887887 0.753739i
\(352\) 12.4336 + 19.6378i 0.662715 + 1.04670i
\(353\) −6.97135 5.06498i −0.371047 0.269582i 0.386598 0.922248i \(-0.373650\pi\)
−0.757645 + 0.652667i \(0.773650\pi\)
\(354\) −0.891315 + 15.1148i −0.0473728 + 0.803343i
\(355\) −23.9332 26.3482i −1.27024 1.39842i
\(356\) −11.2165 + 8.80624i −0.594474 + 0.466730i
\(357\) 0.161226 0.674520i 0.00853298 0.0356994i
\(358\) −0.397846 + 2.85540i −0.0210268 + 0.150913i
\(359\) −2.36938 7.29221i −0.125051 0.384868i 0.868859 0.495059i \(-0.164854\pi\)
−0.993910 + 0.110191i \(0.964854\pi\)
\(360\) −8.44566 + 16.9903i −0.445126 + 0.895468i
\(361\) −2.59164 + 7.97623i −0.136402 + 0.419802i
\(362\) −5.28151 2.56821i −0.277590 0.134982i
\(363\) −10.1564 + 0.809532i −0.533074 + 0.0424894i
\(364\) 0.565871 1.99125i 0.0296597 0.104370i
\(365\) 11.6769 + 6.67381i 0.611195 + 0.349323i
\(366\) 17.8309 21.7272i 0.932036 1.13570i
\(367\) −14.8524 + 10.7909i −0.775287 + 0.563279i −0.903561 0.428460i \(-0.859056\pi\)
0.128274 + 0.991739i \(0.459056\pi\)
\(368\) 0.0864031 + 1.15670i 0.00450407 + 0.0602972i
\(369\) −3.37054 21.0091i −0.175463 1.09369i
\(370\) −6.65194 9.74471i −0.345818 0.506603i
\(371\) 1.67348 + 1.21586i 0.0868829 + 0.0631241i
\(372\) 9.32354 8.60146i 0.483403 0.445965i
\(373\) 2.32796 + 0.756399i 0.120537 + 0.0391649i 0.368664 0.929563i \(-0.379815\pi\)
−0.248127 + 0.968727i \(0.579815\pi\)
\(374\) 6.54914 6.79796i 0.338648 0.351514i
\(375\) 19.2819 1.79143i 0.995712 0.0925088i
\(376\) 4.20383 4.70238i 0.216796 0.242507i
\(377\) −7.40218 + 22.7816i −0.381232 + 1.17331i
\(378\) −0.912749 + 1.56447i −0.0469467 + 0.0804674i
\(379\) 10.7676 14.8204i 0.553097 0.761273i −0.437331 0.899300i \(-0.644076\pi\)
0.990428 + 0.138028i \(0.0440763\pi\)
\(380\) 23.0750 + 3.90856i 1.18372 + 0.200505i
\(381\) 9.76311 + 23.5038i 0.500179 + 1.20414i
\(382\) 11.9342 12.3876i 0.610606 0.633805i
\(383\) −17.9463 24.7010i −0.917016 1.26216i −0.964713 0.263302i \(-0.915188\pi\)
0.0476978 0.998862i \(-0.484812\pi\)
\(384\) 16.4407 + 10.6632i 0.838985 + 0.544154i
\(385\) 1.12371 1.96610i 0.0572695 0.100202i
\(386\) 23.2703 12.4085i 1.18442 0.631574i
\(387\) −2.69714 + 17.2520i −0.137103 + 0.876968i
\(388\) −11.7431 32.0273i −0.596167 1.62594i
\(389\) −11.5821 3.76325i −0.587235 0.190804i 0.000303927 1.00000i \(-0.499903\pi\)
−0.587539 + 0.809196i \(0.699903\pi\)
\(390\) 22.2038 + 6.00124i 1.12433 + 0.303885i
\(391\) 0.448013 0.145568i 0.0226570 0.00736170i
\(392\) 19.5268 + 1.98210i 0.986253 + 0.100111i
\(393\) 4.14962 17.3608i 0.209321 0.875734i
\(394\) −0.493592 + 3.54258i −0.0248668 + 0.178473i
\(395\) 16.7301 15.1966i 0.841781 0.764626i
\(396\) −21.5095 + 12.0461i −1.08089 + 0.605339i
\(397\) 11.9033 16.3834i 0.597408 0.822261i −0.398060 0.917359i \(-0.630316\pi\)
0.995468 + 0.0950981i \(0.0303165\pi\)
\(398\) −8.16412 + 4.35337i −0.409230 + 0.218215i
\(399\) 2.17295 + 0.519385i 0.108784 + 0.0260018i
\(400\) 0.428468 19.9954i 0.0214234 0.999770i
\(401\) 31.6327i 1.57966i 0.613326 + 0.789830i \(0.289831\pi\)
−0.613326 + 0.789830i \(0.710169\pi\)
\(402\) 16.9080 4.41216i 0.843296 0.220058i
\(403\) −12.4405 9.03858i −0.619708 0.450244i
\(404\) 12.6832 + 8.51119i 0.631011 + 0.423447i
\(405\) −17.5120 9.91622i −0.870176 0.492741i
\(406\) 1.96936 + 0.274393i 0.0977377 + 0.0136179i
\(407\) 15.3302i 0.759891i
\(408\) 2.62231 7.51386i 0.129824 0.371992i
\(409\) −6.16786 18.9827i −0.304981 0.938635i −0.979684 0.200546i \(-0.935728\pi\)
0.674704 0.738089i \(-0.264272\pi\)
\(410\) 12.6451 + 18.5243i 0.624495 + 0.914850i
\(411\) −17.7586 10.8581i −0.875965 0.535590i
\(412\) −13.9903 + 5.12969i −0.689253 + 0.252722i
\(413\) −0.470812 1.44901i −0.0231671 0.0713011i
\(414\) −1.23002 + 0.0253875i −0.0604523 + 0.00124773i
\(415\) 15.7576 + 34.9802i 0.773511 + 1.71711i
\(416\) 8.76787 22.0775i 0.429880 1.08244i
\(417\) 6.07752 2.52450i 0.297618 0.123626i
\(418\) 21.8995 + 21.0979i 1.07114 + 1.03193i
\(419\) −9.18218 + 6.67125i −0.448579 + 0.325912i −0.789034 0.614349i \(-0.789419\pi\)
0.340456 + 0.940261i \(0.389419\pi\)
\(420\) 0.168279 1.90181i 0.00821116 0.0927986i
\(421\) 3.74604 + 2.72165i 0.182571 + 0.132645i 0.675317 0.737528i \(-0.264007\pi\)
−0.492746 + 0.870173i \(0.664007\pi\)
\(422\) 6.58566 + 37.0917i 0.320585 + 1.80560i
\(423\) 4.74006 + 4.72116i 0.230470 + 0.229551i
\(424\) 17.6964 + 15.8202i 0.859413 + 0.768297i
\(425\) −7.92986 + 1.75808i −0.384655 + 0.0852794i
\(426\) −21.0226 32.8402i −1.01855 1.59111i
\(427\) −0.873991 + 2.68987i −0.0422954 + 0.130172i
\(428\) −13.1905 8.85163i −0.637587 0.427860i
\(429\) 19.4315 + 22.7054i 0.938160 + 1.09623i
\(430\) −5.17160 17.6646i −0.249397 0.851864i
\(431\) −16.5140 + 11.9981i −0.795451 + 0.577929i −0.909576 0.415537i \(-0.863594\pi\)
0.114125 + 0.993466i \(0.463594\pi\)
\(432\) −12.2334 + 16.8031i −0.588582 + 0.808438i
\(433\) 9.53970 + 13.1303i 0.458449 + 0.631000i 0.974186 0.225746i \(-0.0724820\pi\)
−0.515738 + 0.856747i \(0.672482\pi\)
\(434\) −0.558198 + 1.14793i −0.0267944 + 0.0551024i
\(435\) −2.76608 + 21.9187i −0.132624 + 1.05092i
\(436\) 13.8072 + 3.92372i 0.661245 + 0.187912i
\(437\) 0.468944 + 1.44326i 0.0224327 + 0.0690406i
\(438\) 11.3889 + 9.34660i 0.544185 + 0.446598i
\(439\) −10.4930 3.40939i −0.500804 0.162721i 0.0477118 0.998861i \(-0.484807\pi\)
−0.548516 + 0.836140i \(0.684807\pi\)
\(440\) 15.1073 21.1439i 0.720213 1.00800i
\(441\) −3.21554 + 20.5679i −0.153121 + 0.979424i
\(442\) −9.55501 1.33131i −0.454485 0.0633239i
\(443\) 6.75919i 0.321139i −0.987025 0.160569i \(-0.948667\pi\)
0.987025 0.160569i \(-0.0513331\pi\)
\(444\) −5.39943 11.7429i −0.256246 0.557293i
\(445\) 13.8423 + 7.91144i 0.656187 + 0.375038i
\(446\) 27.5061 4.88373i 1.30245 0.231251i
\(447\) 24.4216 + 28.5363i 1.15510 + 1.34972i
\(448\) −1.93163 0.396229i −0.0912610 0.0187200i
\(449\) 3.79213i 0.178962i 0.995989 + 0.0894808i \(0.0285208\pi\)
−0.995989 + 0.0894808i \(0.971479\pi\)
\(450\) 21.1530 + 1.59685i 0.997163 + 0.0752763i
\(451\) 29.1422i 1.37225i
\(452\) −28.4968 8.09818i −1.34038 0.380906i
\(453\) 2.47671 + 2.89400i 0.116366 + 0.135972i
\(454\) 3.39783 + 19.1372i 0.159468 + 0.898155i
\(455\) −2.30068 + 0.251975i −0.107857 + 0.0118128i
\(456\) 24.2057 + 8.44772i 1.13354 + 0.395601i
\(457\) 7.20343i 0.336962i 0.985705 + 0.168481i \(0.0538862\pi\)
−0.985705 + 0.168481i \(0.946114\pi\)
\(458\) −4.80767 + 34.5053i −0.224647 + 1.61233i
\(459\) 7.80816 + 3.20688i 0.364454 + 0.149684i
\(460\) 1.16173 0.576338i 0.0541658 0.0268719i
\(461\) 8.29731 + 2.69596i 0.386444 + 0.125563i 0.495794 0.868440i \(-0.334877\pi\)
−0.109350 + 0.994003i \(0.534877\pi\)
\(462\) 1.57374 1.91762i 0.0732171 0.0892159i
\(463\) 11.9302 + 36.7174i 0.554444 + 1.70640i 0.697406 + 0.716676i \(0.254337\pi\)
−0.142962 + 0.989728i \(0.545663\pi\)
\(464\) 22.1653 + 5.41482i 1.02900 + 0.251377i
\(465\) −12.8335 6.03692i −0.595137 0.279956i
\(466\) −24.4758 11.9017i −1.13382 0.551336i
\(467\) −9.56327 13.1627i −0.442535 0.609098i 0.528238 0.849097i \(-0.322853\pi\)
−0.970773 + 0.239999i \(0.922853\pi\)
\(468\) 22.8814 + 10.5483i 1.05769 + 0.487595i
\(469\) −1.42254 + 1.03353i −0.0656867 + 0.0477242i
\(470\) −6.64000 2.37508i −0.306280 0.109554i
\(471\) 7.01826 + 8.20073i 0.323384 + 0.377870i
\(472\) −3.69586 17.0883i −0.170116 0.786553i
\(473\) 7.39028 22.7450i 0.339806 1.04581i
\(474\) 20.8523 13.3485i 0.957776 0.613117i
\(475\) −5.66361 25.5459i −0.259864 1.17212i
\(476\) 0.0298470 + 0.800253i 0.00136804 + 0.0366795i
\(477\) −17.7671 + 17.8382i −0.813500 + 0.816756i
\(478\) −5.99334 + 1.06412i −0.274129 + 0.0486718i
\(479\) 18.3111 + 13.3038i 0.836656 + 0.607866i 0.921434 0.388534i \(-0.127018\pi\)
−0.0847786 + 0.996400i \(0.527018\pi\)
\(480\) 4.12508 21.5171i 0.188283 0.982115i
\(481\) −12.6755 + 9.20929i −0.577953 + 0.419908i
\(482\) 9.36435 9.72012i 0.426534 0.442739i
\(483\) 0.114327 0.0474896i 0.00520206 0.00216085i
\(484\) 11.0457 4.05003i 0.502079 0.184092i
\(485\) −28.2308 + 25.6433i −1.28190 + 1.16440i
\(486\) −17.0971 13.9172i −0.775540 0.631298i
\(487\) −8.02521 24.6991i −0.363657 1.11922i −0.950818 0.309751i \(-0.899754\pi\)
0.587161 0.809470i \(-0.300246\pi\)
\(488\) −13.0951 + 29.6962i −0.592789 + 1.34428i
\(489\) 29.6454 + 18.1260i 1.34061 + 0.819687i
\(490\) −6.16560 21.0598i −0.278534 0.951387i
\(491\) −0.446474 1.37411i −0.0201491 0.0620126i 0.940476 0.339859i \(-0.110379\pi\)
−0.960625 + 0.277846i \(0.910379\pi\)
\(492\) 10.2641 + 22.3227i 0.462741 + 1.00639i
\(493\) 9.26651i 0.417343i
\(494\) 4.28878 30.7812i 0.192961 1.38491i
\(495\) 21.5303 + 17.2092i 0.967715 + 0.773494i
\(496\) −7.70299 + 12.4585i −0.345874 + 0.559405i
\(497\) 3.17431 + 2.30627i 0.142387 + 0.103450i
\(498\) 10.6117 + 40.6656i 0.475521 + 1.82227i
\(499\) 2.02484i 0.0906445i −0.998972 0.0453222i \(-0.985569\pi\)
0.998972 0.0453222i \(-0.0144315\pi\)
\(500\) −20.8913 + 7.97206i −0.934287 + 0.356521i
\(501\) 0.520456 + 0.124401i 0.0232523 + 0.00555783i
\(502\) 1.33827 + 2.50973i 0.0597299 + 0.112015i
\(503\) −0.326084 + 0.448817i −0.0145394 + 0.0200117i −0.816225 0.577734i \(-0.803937\pi\)
0.801685 + 0.597746i \(0.203937\pi\)
\(504\) 0.530076 2.02317i 0.0236115 0.0901194i
\(505\) 3.47755 16.7193i 0.154749 0.744000i
\(506\) 1.66888 + 0.232527i 0.0741909 + 0.0103371i
\(507\) 1.86593 7.80650i 0.0828690 0.346699i
\(508\) −18.1481 23.1152i −0.805190 1.02557i
\(509\) −3.40112 + 1.10509i −0.150752 + 0.0489822i −0.383421 0.923574i \(-0.625254\pi\)
0.232669 + 0.972556i \(0.425254\pi\)
\(510\) −8.88646 + 0.446350i −0.393499 + 0.0197647i
\(511\) −1.40997 0.458129i −0.0623736 0.0202664i
\(512\) −21.5934 6.76205i −0.954302 0.298843i
\(513\) −10.3309 + 25.1538i −0.456119 + 1.11057i
\(514\) −11.3020 21.1953i −0.498512 0.934886i
\(515\) 11.2016 + 12.3319i 0.493603 + 0.543410i
\(516\) −2.35003 20.0254i −0.103454 0.881571i
\(517\) −5.38577 7.41288i −0.236866 0.326018i
\(518\) 0.936616 + 0.902334i 0.0411526 + 0.0396463i
\(519\) −0.680658 1.63862i −0.0298776 0.0719276i
\(520\) −26.5578 + 0.210538i −1.16464 + 0.00923269i
\(521\) −7.36632 + 10.1389i −0.322724 + 0.444192i −0.939297 0.343107i \(-0.888521\pi\)
0.616572 + 0.787298i \(0.288521\pi\)
\(522\) −7.00204 + 23.1662i −0.306471 + 1.01396i
\(523\) −12.3865 + 38.1219i −0.541626 + 1.66695i 0.187255 + 0.982311i \(0.440041\pi\)
−0.728881 + 0.684641i \(0.759959\pi\)
\(524\) 0.768201 + 20.5968i 0.0335590 + 0.899777i
\(525\) −2.04069 + 0.626149i −0.0890630 + 0.0273274i
\(526\) 9.74117 + 9.38463i 0.424735 + 0.409189i
\(527\) 5.65753 + 1.83824i 0.246446 + 0.0800752i
\(528\) 20.1890 20.0689i 0.878612 0.873388i
\(529\) −18.5394 13.4696i −0.806059 0.585636i
\(530\) 8.93812 24.9882i 0.388247 1.08542i
\(531\) 18.3098 2.93748i 0.794578 0.127476i
\(532\) −2.57799 + 0.0961515i −0.111770 + 0.00416870i
\(533\) 24.0956 17.5065i 1.04370 0.758290i
\(534\) 13.5010 + 11.0799i 0.584244 + 0.479473i
\(535\) −3.61665 + 17.3881i −0.156361 + 0.751752i
\(536\) −17.4382 + 10.1509i −0.753216 + 0.438452i
\(537\) 3.51976 0.280547i 0.151889 0.0121065i
\(538\) 20.0806 41.2957i 0.865738 1.78039i
\(539\) 8.81073 27.1166i 0.379505 1.16800i
\(540\) 22.5533 + 5.59899i 0.970540 + 0.240942i
\(541\) −2.45335 7.55063i −0.105478 0.324627i 0.884365 0.466797i \(-0.154592\pi\)
−0.989842 + 0.142170i \(0.954592\pi\)
\(542\) 24.1270 + 3.36164i 1.03634 + 0.144395i
\(543\) −1.67212 + 6.99565i −0.0717576 + 0.300212i
\(544\) −0.586626 + 9.17072i −0.0251514 + 0.393191i
\(545\) −1.74718 15.9528i −0.0748410 0.683341i
\(546\) −2.53094 0.149249i −0.108314 0.00638725i
\(547\) −11.3743 8.26390i −0.486329 0.353339i 0.317442 0.948278i \(-0.397176\pi\)
−0.803771 + 0.594939i \(0.797176\pi\)
\(548\) 23.1197 + 6.57012i 0.987623 + 0.280662i
\(549\) −30.7032 15.5669i −1.31038 0.664379i
\(550\) −28.2591 6.74869i −1.20497 0.287765i
\(551\) 29.8518 1.27173
\(552\) 1.36025 0.409679i 0.0578963 0.0174371i
\(553\) −1.46439 + 2.01556i −0.0622722 + 0.0857104i
\(554\) 2.48585 + 14.0008i 0.105614 + 0.594836i
\(555\) −9.89055 + 10.5351i −0.419830 + 0.447191i
\(556\) −5.97703 + 4.69265i −0.253482 + 0.199013i
\(557\) 12.2107 0.517383 0.258691 0.965960i \(-0.416709\pi\)
0.258691 + 0.965960i \(0.416709\pi\)
\(558\) −12.7547 8.87058i −0.539951 0.375521i
\(559\) −23.2458 + 7.55301i −0.983191 + 0.319458i
\(560\) 0.402595 + 2.16752i 0.0170127 + 0.0915946i
\(561\) −9.86334 6.03072i −0.416431 0.254617i
\(562\) 16.2131 33.3421i 0.683908 1.40645i
\(563\) −4.90963 + 1.59523i −0.206916 + 0.0672311i −0.410641 0.911797i \(-0.634695\pi\)
0.203725 + 0.979028i \(0.434695\pi\)
\(564\) −6.73635 3.78132i −0.283651 0.159222i
\(565\) 3.60602 + 32.9250i 0.151706 + 1.38517i
\(566\) 9.35670 + 4.54983i 0.393292 + 0.191244i
\(567\) 2.11248 + 0.677070i 0.0887158 + 0.0284343i
\(568\) 33.5670 + 30.0082i 1.40844 + 1.25912i
\(569\) −1.34212 1.84727i −0.0562646 0.0774415i 0.779958 0.625832i \(-0.215241\pi\)
−0.836222 + 0.548391i \(0.815241\pi\)
\(570\) −1.43791 28.6275i −0.0602273 1.19907i
\(571\) 0.736301 1.01343i 0.0308132 0.0424108i −0.793332 0.608789i \(-0.791656\pi\)
0.824146 + 0.566378i \(0.191656\pi\)
\(572\) −28.6544 19.2288i −1.19810 0.803998i
\(573\) −17.9735 10.9895i −0.750854 0.459093i
\(574\) −1.78047 1.71530i −0.0743154 0.0715953i
\(575\) −1.08592 0.960726i −0.0452861 0.0400650i
\(576\) 8.39621 22.4834i 0.349842 0.936809i
\(577\) −23.6672 7.68995i −0.985280 0.320137i −0.228311 0.973588i \(-0.573320\pi\)
−0.756969 + 0.653451i \(0.773320\pi\)
\(578\) −19.9969 + 3.55046i −0.831759 + 0.147679i
\(579\) −21.0009 24.5392i −0.872768 1.01982i
\(580\) −3.72056 25.2376i −0.154488 1.04793i
\(581\) −2.48576 3.42135i −0.103127 0.141942i
\(582\) −35.1868 + 22.5247i −1.45854 + 0.933678i
\(583\) 27.8968 20.2682i 1.15537 0.839424i
\(584\) −15.5662 6.86421i −0.644132 0.284043i
\(585\) 1.29521 28.1399i 0.0535505 1.16344i
\(586\) 4.39333 + 8.23906i 0.181487 + 0.340352i
\(587\) 8.42156 2.73633i 0.347595 0.112940i −0.130016 0.991512i \(-0.541503\pi\)
0.477611 + 0.878571i \(0.341503\pi\)
\(588\) −2.80172 23.8744i −0.115541 0.984565i
\(589\) −5.92186 + 18.2256i −0.244006 + 0.750973i
\(590\) −16.1443 + 11.0204i −0.664649 + 0.453703i
\(591\) 4.36682 0.348064i 0.179627 0.0143174i
\(592\) 9.64726 + 11.3870i 0.396500 + 0.468001i
\(593\) −5.54014 −0.227506 −0.113753 0.993509i \(-0.536287\pi\)
−0.113753 + 0.993509i \(0.536287\pi\)
\(594\) 20.1012 + 22.5298i 0.824764 + 0.924407i
\(595\) 0.816328 0.367733i 0.0334662 0.0150756i
\(596\) −36.0131 24.1670i −1.47515 0.989918i
\(597\) 7.36794 + 8.60933i 0.301550 + 0.352356i
\(598\) −0.810284 1.51957i −0.0331350 0.0621398i
\(599\) −37.9769 −1.55169 −0.775846 0.630922i \(-0.782677\pi\)
−0.775846 + 0.630922i \(0.782677\pi\)
\(600\) −24.0233 + 4.78361i −0.980746 + 0.195290i
\(601\) −25.7870 −1.05188 −0.525938 0.850523i \(-0.676285\pi\)
−0.525938 + 0.850523i \(0.676285\pi\)
\(602\) 0.954636 + 1.79028i 0.0389080 + 0.0729664i
\(603\) −9.75413 19.0494i −0.397219 0.775752i
\(604\) −3.65225 2.45088i −0.148608 0.0997249i
\(605\) −8.84399 9.73639i −0.359559 0.395841i
\(606\) 6.81812 17.4203i 0.276967 0.707653i
\(607\) −0.961951 −0.0390444 −0.0195222 0.999809i \(-0.506215\pi\)
−0.0195222 + 0.999809i \(0.506215\pi\)
\(608\) −29.5432 1.88980i −1.19814 0.0766416i
\(609\) −0.193493 2.42756i −0.00784071 0.0983698i
\(610\) 36.2705 + 1.06493i 1.46855 + 0.0431178i
\(611\) −2.89381 + 8.90624i −0.117071 + 0.360308i
\(612\) −9.67934 1.14556i −0.391264 0.0463064i
\(613\) 5.99080 1.94653i 0.241966 0.0786195i −0.185523 0.982640i \(-0.559398\pi\)
0.427490 + 0.904020i \(0.359398\pi\)
\(614\) 5.33388 + 10.0029i 0.215258 + 0.403685i
\(615\) 18.8015 20.0268i 0.758151 0.807559i
\(616\) −1.15577 + 2.62097i −0.0465672 + 0.105602i
\(617\) 1.25611 0.912616i 0.0505690 0.0367405i −0.562214 0.826992i \(-0.690050\pi\)
0.612783 + 0.790252i \(0.290050\pi\)
\(618\) 9.83935 + 15.3705i 0.395797 + 0.618291i
\(619\) 13.9136 + 19.1504i 0.559234 + 0.769719i 0.991229 0.132157i \(-0.0421903\pi\)
−0.431995 + 0.901876i \(0.642190\pi\)
\(620\) 16.1465 + 2.73497i 0.648459 + 0.109839i
\(621\) 0.356139 + 1.46409i 0.0142914 + 0.0587519i
\(622\) 12.2532 2.17557i 0.491310 0.0872325i
\(623\) −1.67145 0.543086i −0.0669652 0.0217583i
\(624\) −28.7217 4.63690i −1.14979 0.185624i
\(625\) 17.0503 + 18.2835i 0.682011 + 0.731342i
\(626\) −12.7881 12.3201i −0.511117 0.492409i
\(627\) 19.4278 31.7745i 0.775873 1.26895i
\(628\) −10.3494 6.94508i −0.412986 0.277139i
\(629\) 3.56259 4.90348i 0.142050 0.195515i
\(630\) −2.31868 + 0.302488i −0.0923784 + 0.0120514i
\(631\) 5.58970 + 7.69356i 0.222522 + 0.306276i 0.905652 0.424021i \(-0.139382\pi\)
−0.683130 + 0.730297i \(0.739382\pi\)
\(632\) −19.0540 + 21.3138i −0.757929 + 0.847816i
\(633\) 42.6086 17.6989i 1.69354 0.703470i
\(634\) 16.6715 + 8.10674i 0.662108 + 0.321960i
\(635\) −16.3040 + 28.5264i −0.647006 + 1.13204i
\(636\) 14.2302 25.3508i 0.564264 1.00523i
\(637\) −27.7137 + 9.00473i −1.09806 + 0.356780i
\(638\) 14.4950 29.8088i 0.573861 1.18014i
\(639\) −33.7011 + 33.8360i −1.33320 + 1.33853i
\(640\) 2.08440 + 25.2122i 0.0823933 + 0.996600i
\(641\) −3.99702 + 1.29871i −0.157873 + 0.0512960i −0.386887 0.922127i \(-0.626450\pi\)
0.229014 + 0.973423i \(0.426450\pi\)
\(642\) −7.09084 + 18.1171i −0.279853 + 0.715026i
\(643\) −33.8950 −1.33669 −0.668343 0.743853i \(-0.732996\pi\)
−0.668343 + 0.743853i \(0.732996\pi\)
\(644\) −0.112437 + 0.0882756i −0.00443062 + 0.00347855i
\(645\) −19.7530 + 10.8626i −0.777772 + 0.427716i
\(646\) 2.10176 + 11.8375i 0.0826926 + 0.465740i
\(647\) 7.83027 10.7774i 0.307840 0.423705i −0.626866 0.779127i \(-0.715663\pi\)
0.934706 + 0.355422i \(0.115663\pi\)
\(648\) 23.3326 + 10.1779i 0.916592 + 0.399824i
\(649\) −25.3979 −0.996955
\(650\) 11.3960 + 27.4196i 0.446987 + 1.07548i
\(651\) 1.52050 + 0.363434i 0.0595930 + 0.0142441i
\(652\) −38.5950 10.9679i −1.51150 0.429536i
\(653\) 6.03308 + 4.38329i 0.236093 + 0.171531i 0.699541 0.714593i \(-0.253388\pi\)
−0.463448 + 0.886124i \(0.653388\pi\)
\(654\) 1.03488 17.5494i 0.0404670 0.686235i
\(655\) 21.0106 9.46469i 0.820951 0.369816i
\(656\) −18.3390 21.6461i −0.716019 0.845140i
\(657\) 8.15986 16.0940i 0.318346 0.627887i
\(658\) 0.769903 + 0.107271i 0.0300139 + 0.00418187i
\(659\) 5.31357 + 16.3535i 0.206987 + 0.637041i 0.999626 + 0.0273497i \(0.00870676\pi\)
−0.792639 + 0.609692i \(0.791293\pi\)
\(660\) −29.2844 12.4646i −1.13989 0.485185i
\(661\) 2.73446 8.41580i 0.106358 0.327337i −0.883689 0.468075i \(-0.844948\pi\)
0.990047 + 0.140738i \(0.0449477\pi\)
\(662\) 9.82140 20.1976i 0.381719 0.785003i
\(663\) 0.938794 + 11.7781i 0.0364597 + 0.457425i
\(664\) −24.4140 41.9407i −0.947445 1.62762i
\(665\) 1.18464 + 2.62978i 0.0459385 + 0.101979i
\(666\) −12.6116 + 9.56664i −0.488691 + 0.370700i
\(667\) 1.33822 0.972274i 0.0518161 0.0376466i
\(668\) −0.617471 + 0.0230298i −0.0238907 + 0.000891050i
\(669\) −13.1250 31.5973i −0.507442 1.22162i
\(670\) 17.8537 + 13.7898i 0.689749 + 0.532748i
\(671\) 38.1431 + 27.7126i 1.47250 + 1.06983i
\(672\) 0.0378129 + 2.41472i 0.00145866 + 0.0931497i
\(673\) 44.6419 + 14.5050i 1.72082 + 0.559128i 0.992074 0.125656i \(-0.0401037\pi\)
0.728746 + 0.684785i \(0.240104\pi\)
\(674\) 12.8784 + 12.4070i 0.496058 + 0.477902i
\(675\) −3.69310 25.7169i −0.142147 0.989845i
\(676\) 0.345432 + 9.26165i 0.0132859 + 0.356217i
\(677\) 10.2402 31.5161i 0.393563 1.21126i −0.536513 0.843892i \(-0.680259\pi\)
0.930075 0.367369i \(-0.119741\pi\)
\(678\) −2.13590 + 36.2203i −0.0820286 + 1.39103i
\(679\) 2.47106 3.40112i 0.0948305 0.130523i
\(680\) 9.74580 3.25224i 0.373734 0.124718i
\(681\) 21.9837 9.13166i 0.842416 0.349926i
\(682\) 15.3239 + 14.7630i 0.586782 + 0.565305i
\(683\) −3.09803 4.26408i −0.118543 0.163160i 0.745622 0.666369i \(-0.232153\pi\)
−0.864165 + 0.503209i \(0.832153\pi\)
\(684\) 3.69039 31.1818i 0.141105 1.19226i
\(685\) −2.92559 26.7123i −0.111781 1.02063i
\(686\) 2.28621 + 4.28745i 0.0872877 + 0.163695i
\(687\) 42.5336 3.39020i 1.62276 0.129344i
\(688\) 8.82397 + 21.5451i 0.336411 + 0.821400i
\(689\) −33.5167 10.8903i −1.27689 0.414886i
\(690\) −0.996857 1.23650i −0.0379497 0.0470729i
\(691\) 20.0590 6.51756i 0.763080 0.247940i 0.0984800 0.995139i \(-0.468602\pi\)
0.664600 + 0.747199i \(0.268602\pi\)
\(692\) 1.26523 + 1.61153i 0.0480970 + 0.0612611i
\(693\) −2.70984 1.37392i −0.102938 0.0521911i
\(694\) 19.0839 + 2.65898i 0.724416 + 0.100934i
\(695\) 7.37625 + 4.21583i 0.279797 + 0.159916i
\(696\) 0.604174 27.9386i 0.0229012 1.05901i
\(697\) −6.77233 + 9.32131i −0.256520 + 0.353070i
\(698\) −16.3095 30.5861i −0.617324 1.15770i
\(699\) −7.74901 + 32.4195i −0.293095 + 1.22622i
\(700\) 2.07564 1.32929i 0.0784519 0.0502425i
\(701\) 12.7130i 0.480165i 0.970753 + 0.240082i \(0.0771744\pi\)
−0.970753 + 0.240082i \(0.922826\pi\)
\(702\) 6.55292 30.1546i 0.247324 1.13811i
\(703\) 15.7964 + 11.4768i 0.595774 + 0.432855i
\(704\) −16.2322 + 28.5830i −0.611774 + 1.07726i
\(705\) −1.08137 + 8.56893i −0.0407269 + 0.322725i
\(706\) 1.68169 12.0698i 0.0632913 0.454252i
\(707\) 1.88241i 0.0707953i
\(708\) −19.4547 + 8.94535i −0.731152 + 0.336187i
\(709\) −11.4590 35.2672i −0.430352 1.32449i −0.897776 0.440453i \(-0.854818\pi\)
0.467424 0.884033i \(-0.345182\pi\)
\(710\) 16.9541 47.3984i 0.636275 1.77883i
\(711\) −21.4846 21.3989i −0.805734 0.802522i
\(712\) −18.4528 8.13714i −0.691549 0.304952i
\(713\) 0.328138 + 1.00991i 0.0122889 + 0.0378213i
\(714\) 0.949008 0.247644i 0.0355157 0.00926783i
\(715\) −7.85662 + 37.7730i −0.293821 + 1.41263i
\(716\) −3.82795 + 1.40356i −0.143057 + 0.0524534i
\(717\) 2.85982 + 6.88477i 0.106802 + 0.257116i
\(718\) 7.52324 7.80906i 0.280765 0.291432i
\(719\) −34.5066 + 25.0705i −1.28688 + 0.934971i −0.999737 0.0229175i \(-0.992704\pi\)
−0.287140 + 0.957889i \(0.592704\pi\)
\(720\) −26.8219 + 0.766357i −0.999592 + 0.0285604i
\(721\) −1.48570 1.07942i −0.0553302 0.0401997i
\(722\) −11.6780 + 2.07343i −0.434608 + 0.0771650i
\(723\) −14.1032 8.62309i −0.524503 0.320696i
\(724\) −0.309552 8.29966i −0.0115044 0.308454i
\(725\) −24.5748 + 14.4759i −0.912684 + 0.537622i
\(726\) −7.76843 12.1354i −0.288313 0.450387i
\(727\) −9.70095 + 29.8564i −0.359788 + 1.10731i 0.593393 + 0.804913i \(0.297788\pi\)
−0.953181 + 0.302401i \(0.902212\pi\)
\(728\) 2.86140 0.618862i 0.106050 0.0229366i
\(729\) −12.1134 + 24.1302i −0.448644 + 0.893710i
\(730\) −0.558216 + 19.0123i −0.0206605 + 0.703676i
\(731\) 7.64952 5.55770i 0.282928 0.205559i
\(732\) 38.9780 + 7.79339i 1.44067 + 0.288052i
\(733\) 12.6990 + 17.4786i 0.469047 + 0.645587i 0.976354 0.216178i \(-0.0693591\pi\)
−0.507307 + 0.861765i \(0.669359\pi\)
\(734\) −23.3488 11.3537i −0.861819 0.419072i
\(735\) −23.5496 + 12.9505i −0.868639 + 0.477686i
\(736\) −1.38594 + 0.877506i −0.0510864 + 0.0323453i
\(737\) 9.05779 + 27.8770i 0.333648 + 1.02686i
\(738\) 23.9742 18.1858i 0.882502 0.669429i
\(739\) 32.8961 + 10.6886i 1.21010 + 0.393187i 0.843469 0.537178i \(-0.180510\pi\)
0.366635 + 0.930365i \(0.380510\pi\)
\(740\) 7.73401 14.7851i 0.284308 0.543513i
\(741\) −37.9430 + 3.02430i −1.39387 + 0.111101i
\(742\) −0.403693 + 2.89737i −0.0148200 + 0.106366i
\(743\) 39.5592i 1.45129i −0.688072 0.725643i \(-0.741543\pi\)
0.688072 0.725643i \(-0.258457\pi\)
\(744\) 16.9377 + 5.91120i 0.620965 + 0.216715i
\(745\) −9.87428 + 47.4735i −0.361766 + 1.73929i
\(746\) 0.605155 + 3.40835i 0.0221563 + 0.124788i
\(747\) 45.8158 23.4597i 1.67631 0.858346i
\(748\) 12.8410 + 3.64913i 0.469513 + 0.133426i
\(749\) 1.95771i 0.0715330i
\(750\) 15.0659 + 22.8696i 0.550130 + 0.835079i
\(751\) 50.8972i 1.85727i −0.371000 0.928633i \(-0.620985\pi\)
0.371000 0.928633i \(-0.379015\pi\)
\(752\) 8.66532 + 2.11687i 0.315992 + 0.0771945i
\(753\) 2.64659 2.26498i 0.0964471 0.0825403i
\(754\) −33.3543 + 5.92209i −1.21469 + 0.215670i
\(755\) −1.00139 + 4.81449i −0.0364445 + 0.175217i
\(756\) −2.55963 0.0979908i −0.0930930 0.00356389i
\(757\) 11.0204i 0.400545i 0.979740 + 0.200272i \(0.0641827\pi\)
−0.979740 + 0.200272i \(0.935817\pi\)
\(758\) 25.6591 + 3.57511i 0.931982 + 0.129854i
\(759\) −0.163970 2.05718i −0.00595175 0.0746708i
\(760\) 10.4770 + 31.3959i 0.380041 + 1.13885i
\(761\) −24.2325 7.87360i −0.878426 0.285418i −0.165122 0.986273i \(-0.552802\pi\)
−0.713304 + 0.700855i \(0.752802\pi\)
\(762\) −22.8336 + 27.8230i −0.827174 + 1.00792i
\(763\) 0.546646 + 1.68240i 0.0197899 + 0.0609071i
\(764\) 23.3995 + 6.64965i 0.846565 + 0.240576i
\(765\) 2.88738 + 10.5079i 0.104394 + 0.379913i
\(766\) 18.8824 38.8314i 0.682247 1.40304i
\(767\) 15.2572 + 20.9998i 0.550906 + 0.758258i
\(768\) −2.36661 + 27.6116i −0.0853978 + 0.996347i
\(769\) −4.80509 + 3.49110i −0.173276 + 0.125892i −0.671043 0.741418i \(-0.734153\pi\)
0.497767 + 0.867311i \(0.334153\pi\)
\(770\) 3.20121 + 0.0939901i 0.115364 + 0.00338717i
\(771\) −22.3512 + 19.1283i −0.804957 + 0.688890i
\(772\) 30.9687 + 20.7819i 1.11459 + 0.747957i
\(773\) 0.162618 0.500486i 0.00584896 0.0180012i −0.948089 0.318004i \(-0.896988\pi\)
0.953938 + 0.300003i