Properties

Label 300.2.n.a.11.10
Level $300$
Weight $2$
Character 300.11
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.n (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 11.10
Character \(\chi\) \(=\) 300.11
Dual form 300.2.n.a.191.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.24461 + 0.671529i) q^{2} +(-1.27306 + 1.17444i) q^{3} +(1.09810 - 1.67158i) q^{4} +(-2.10329 - 0.759058i) q^{5} +(0.795787 - 2.31662i) q^{6} -0.738888i q^{7} +(-0.244189 + 2.81787i) q^{8} +(0.241361 - 2.99028i) q^{9} +O(q^{10})\) \(q+(-1.24461 + 0.671529i) q^{2} +(-1.27306 + 1.17444i) q^{3} +(1.09810 - 1.67158i) q^{4} +(-2.10329 - 0.759058i) q^{5} +(0.795787 - 2.31662i) q^{6} -0.738888i q^{7} +(-0.244189 + 2.81787i) q^{8} +(0.241361 - 2.99028i) q^{9} +(3.12750 - 0.467689i) q^{10} +(1.63157 - 1.18541i) q^{11} +(0.565232 + 3.41768i) q^{12} +(3.83758 + 2.78817i) q^{13} +(0.496184 + 0.919626i) q^{14} +(3.56909 - 1.50387i) q^{15} +(-1.58836 - 3.67112i) q^{16} +(3.35436 - 1.08990i) q^{17} +(1.70765 + 3.88380i) q^{18} +(-2.82939 + 0.919326i) q^{19} +(-3.57845 + 2.68230i) q^{20} +(0.867783 + 0.940648i) q^{21} +(-1.23464 + 2.57102i) q^{22} +(-1.01379 + 0.736564i) q^{23} +(-2.99856 - 3.87410i) q^{24} +(3.84766 + 3.19304i) q^{25} +(-6.64862 - 0.893130i) q^{26} +(3.20464 + 4.09026i) q^{27} +(-1.23511 - 0.811372i) q^{28} +(7.24833 + 2.35512i) q^{29} +(-3.43222 + 4.26847i) q^{30} +(6.78818 - 2.20561i) q^{31} +(4.44214 + 3.50248i) q^{32} +(-0.684895 + 3.42529i) q^{33} +(-3.44296 + 3.60904i) q^{34} +(-0.560859 + 1.55410i) q^{35} +(-4.73344 - 3.68707i) q^{36} +(-0.994956 - 0.722878i) q^{37} +(2.90413 - 3.04422i) q^{38} +(-8.16002 + 0.957525i) q^{39} +(2.65253 - 5.74144i) q^{40} +(1.02181 - 1.40641i) q^{41} +(-1.71172 - 0.587998i) q^{42} +2.44596i q^{43} +(-0.189874 - 4.02900i) q^{44} +(-2.77745 + 6.10621i) q^{45} +(0.767152 - 1.59753i) q^{46} +(3.13833 - 9.65878i) q^{47} +(6.33360 + 2.80812i) q^{48} +6.45404 q^{49} +(-6.93305 - 1.39027i) q^{50} +(-2.99027 + 5.32701i) q^{51} +(8.87469 - 3.35314i) q^{52} +(-11.6976 - 3.80078i) q^{53} +(-6.73525 - 2.93877i) q^{54} +(-4.33147 + 1.25480i) q^{55} +(2.08209 + 0.180429i) q^{56} +(2.52229 - 4.49332i) q^{57} +(-10.6029 + 1.93625i) q^{58} +(3.97523 + 2.88818i) q^{59} +(1.40537 - 7.61741i) q^{60} +(5.09556 - 3.70214i) q^{61} +(-6.96749 + 7.30358i) q^{62} +(-2.20948 - 0.178339i) q^{63} +(-7.88074 - 1.37619i) q^{64} +(-5.95517 - 8.77728i) q^{65} +(-1.44775 - 4.72307i) q^{66} +(8.81266 - 2.86341i) q^{67} +(1.86157 - 6.80389i) q^{68} +(0.425566 - 2.12834i) q^{69} +(-0.345570 - 2.31087i) q^{70} +(4.32943 - 13.3246i) q^{71} +(8.36726 + 1.41032i) q^{72} +(-4.33209 + 3.14745i) q^{73} +(1.72376 + 0.231558i) q^{74} +(-8.64835 + 0.453932i) q^{75} +(-1.57023 + 5.73907i) q^{76} +(-0.875884 - 1.20555i) q^{77} +(9.51302 - 6.67143i) q^{78} +(-14.7649 - 4.79739i) q^{79} +(0.554183 + 8.92709i) q^{80} +(-8.88349 - 1.44347i) q^{81} +(-0.327316 + 2.43660i) q^{82} +(0.885035 + 2.72386i) q^{83} +(2.52528 - 0.417643i) q^{84} +(-7.88248 - 0.253784i) q^{85} +(-1.64253 - 3.04426i) q^{86} +(-11.9935 + 5.51454i) q^{87} +(2.94191 + 4.88702i) q^{88} +(7.36821 + 10.1415i) q^{89} +(-0.643661 - 9.46497i) q^{90} +(2.06014 - 2.83555i) q^{91} +(0.117980 + 2.50346i) q^{92} +(-6.05139 + 10.7802i) q^{93} +(2.58016 + 14.1289i) q^{94} +(6.64886 + 0.214066i) q^{95} +(-9.76858 + 0.758188i) q^{96} +(2.66343 - 8.19720i) q^{97} +(-8.03276 + 4.33407i) q^{98} +(-3.15090 - 5.16497i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} + q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} + q^{6} - 6q^{9} - 8q^{10} - 9q^{12} - 12q^{13} - 18q^{16} - 26q^{18} + 12q^{21} - 6q^{22} - 16q^{24} - 12q^{25} + 2q^{28} - 13q^{30} + 6q^{33} - 30q^{34} + 35q^{36} + 12q^{37} - 24q^{40} - 13q^{42} - 6q^{45} - 18q^{46} - 34q^{48} - 168q^{49} - 28q^{52} - 38q^{54} - 44q^{57} - 34q^{58} - 76q^{60} + 4q^{61} + 18q^{64} - 46q^{66} - 18q^{69} + 72q^{70} - 29q^{72} - 20q^{73} + 16q^{76} + 5q^{78} - 30q^{81} - 20q^{82} - 18q^{84} - 76q^{85} + 6q^{88} + 2q^{90} - 52q^{93} + 96q^{94} - 50q^{96} - 72q^{97} + O(q^{100}) \)

Character values

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

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{4}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.24461 + 0.671529i −0.880071 + 0.474842i
\(3\) −1.27306 + 1.17444i −0.735001 + 0.678066i
\(4\) 1.09810 1.67158i 0.549049 0.835790i
\(5\) −2.10329 0.759058i −0.940620 0.339461i
\(6\) 0.795787 2.31662i 0.324879 0.945756i
\(7\) 0.738888i 0.279273i −0.990203 0.139637i \(-0.955407\pi\)
0.990203 0.139637i \(-0.0445935\pi\)
\(8\) −0.244189 + 2.81787i −0.0863340 + 0.996266i
\(9\) 0.241361 2.99028i 0.0804538 0.996758i
\(10\) 3.12750 0.467689i 0.989003 0.147896i
\(11\) 1.63157 1.18541i 0.491938 0.357414i −0.313991 0.949426i \(-0.601666\pi\)
0.805929 + 0.592012i \(0.201666\pi\)
\(12\) 0.565232 + 3.41768i 0.163168 + 0.986598i
\(13\) 3.83758 + 2.78817i 1.06435 + 0.773299i 0.974889 0.222691i \(-0.0714842\pi\)
0.0894654 + 0.995990i \(0.471484\pi\)
\(14\) 0.496184 + 0.919626i 0.132611 + 0.245780i
\(15\) 3.56909 1.50387i 0.921534 0.388298i
\(16\) −1.58836 3.67112i −0.397089 0.917780i
\(17\) 3.35436 1.08990i 0.813551 0.264339i 0.127450 0.991845i \(-0.459321\pi\)
0.686101 + 0.727506i \(0.259321\pi\)
\(18\) 1.70765 + 3.88380i 0.402498 + 0.915421i
\(19\) −2.82939 + 0.919326i −0.649108 + 0.210908i −0.615021 0.788511i \(-0.710852\pi\)
−0.0340869 + 0.999419i \(0.510852\pi\)
\(20\) −3.57845 + 2.68230i −0.800165 + 0.599780i
\(21\) 0.867783 + 0.940648i 0.189366 + 0.205266i
\(22\) −1.23464 + 2.57102i −0.263225 + 0.548143i
\(23\) −1.01379 + 0.736564i −0.211391 + 0.153584i −0.688443 0.725291i \(-0.741705\pi\)
0.477052 + 0.878875i \(0.341705\pi\)
\(24\) −2.99856 3.87410i −0.612078 0.790797i
\(25\) 3.84766 + 3.19304i 0.769532 + 0.638608i
\(26\) −6.64862 0.893130i −1.30390 0.175157i
\(27\) 3.20464 + 4.09026i 0.616734 + 0.787172i
\(28\) −1.23511 0.811372i −0.233414 0.153335i
\(29\) 7.24833 + 2.35512i 1.34598 + 0.437336i 0.891339 0.453338i \(-0.149767\pi\)
0.454642 + 0.890674i \(0.349767\pi\)
\(30\) −3.43222 + 4.26847i −0.626635 + 0.779313i
\(31\) 6.78818 2.20561i 1.21919 0.396140i 0.372405 0.928070i \(-0.378533\pi\)
0.846788 + 0.531930i \(0.178533\pi\)
\(32\) 4.44214 + 3.50248i 0.785268 + 0.619156i
\(33\) −0.684895 + 3.42529i −0.119225 + 0.596266i
\(34\) −3.44296 + 3.60904i −0.590463 + 0.618945i
\(35\) −0.560859 + 1.55410i −0.0948025 + 0.262690i
\(36\) −4.73344 3.68707i −0.788907 0.614512i
\(37\) −0.994956 0.722878i −0.163570 0.118840i 0.502989 0.864293i \(-0.332234\pi\)
−0.666559 + 0.745452i \(0.732234\pi\)
\(38\) 2.90413 3.04422i 0.471113 0.493838i
\(39\) −8.16002 + 0.957525i −1.30665 + 0.153327i
\(40\) 2.65253 5.74144i 0.419401 0.907801i
\(41\) 1.02181 1.40641i 0.159581 0.219644i −0.721738 0.692166i \(-0.756656\pi\)
0.881319 + 0.472522i \(0.156656\pi\)
\(42\) −1.71172 0.587998i −0.264124 0.0907300i
\(43\) 2.44596i 0.373005i 0.982455 + 0.186502i \(0.0597152\pi\)
−0.982455 + 0.186502i \(0.940285\pi\)
\(44\) −0.189874 4.02900i −0.0286246 0.607395i
\(45\) −2.77745 + 6.10621i −0.414037 + 0.910260i
\(46\) 0.767152 1.59753i 0.113110 0.235542i
\(47\) 3.13833 9.65878i 0.457772 1.40888i −0.410077 0.912051i \(-0.634498\pi\)
0.867849 0.496827i \(-0.165502\pi\)
\(48\) 6.33360 + 2.80812i 0.914176 + 0.405317i
\(49\) 6.45404 0.922006
\(50\) −6.93305 1.39027i −0.980481 0.196614i
\(51\) −2.99027 + 5.32701i −0.418722 + 0.745930i
\(52\) 8.87469 3.35314i 1.23070 0.464997i
\(53\) −11.6976 3.80078i −1.60679 0.522077i −0.638014 0.770025i \(-0.720244\pi\)
−0.968773 + 0.247948i \(0.920244\pi\)
\(54\) −6.73525 2.93877i −0.916552 0.399915i
\(55\) −4.33147 + 1.25480i −0.584055 + 0.169197i
\(56\) 2.08209 + 0.180429i 0.278231 + 0.0241108i
\(57\) 2.52229 4.49332i 0.334086 0.595155i
\(58\) −10.6029 + 1.93625i −1.39222 + 0.254242i
\(59\) 3.97523 + 2.88818i 0.517531 + 0.376009i 0.815673 0.578513i \(-0.196367\pi\)
−0.298142 + 0.954522i \(0.596367\pi\)
\(60\) 1.40537 7.61741i 0.181432 0.983403i
\(61\) 5.09556 3.70214i 0.652419 0.474010i −0.211675 0.977340i \(-0.567892\pi\)
0.864094 + 0.503330i \(0.167892\pi\)
\(62\) −6.96749 + 7.30358i −0.884873 + 0.927556i
\(63\) −2.20948 0.178339i −0.278368 0.0224686i
\(64\) −7.88074 1.37619i −0.985093 0.172023i
\(65\) −5.95517 8.77728i −0.738648 1.08869i
\(66\) −1.44775 4.72307i −0.178206 0.581369i
\(67\) 8.81266 2.86341i 1.07664 0.349821i 0.283569 0.958952i \(-0.408482\pi\)
0.793070 + 0.609131i \(0.208482\pi\)
\(68\) 1.86157 6.80389i 0.225748 0.825092i
\(69\) 0.425566 2.12834i 0.0512322 0.256221i
\(70\) −0.345570 2.31087i −0.0413035 0.276202i
\(71\) 4.32943 13.3246i 0.513808 1.58134i −0.271631 0.962401i \(-0.587563\pi\)
0.785440 0.618938i \(-0.212437\pi\)
\(72\) 8.36726 + 1.41032i 0.986091 + 0.166207i
\(73\) −4.33209 + 3.14745i −0.507033 + 0.368381i −0.811697 0.584079i \(-0.801456\pi\)
0.304664 + 0.952460i \(0.401456\pi\)
\(74\) 1.72376 + 0.231558i 0.200383 + 0.0269181i
\(75\) −8.64835 + 0.453932i −0.998625 + 0.0524155i
\(76\) −1.57023 + 5.73907i −0.180118 + 0.658316i
\(77\) −0.875884 1.20555i −0.0998162 0.137385i
\(78\) 9.51302 6.67143i 1.07714 0.755391i
\(79\) −14.7649 4.79739i −1.66118 0.539749i −0.680058 0.733158i \(-0.738045\pi\)
−0.981118 + 0.193410i \(0.938045\pi\)
\(80\) 0.554183 + 8.92709i 0.0619595 + 0.998079i
\(81\) −8.88349 1.44347i −0.987054 0.160386i
\(82\) −0.327316 + 2.43660i −0.0361460 + 0.269078i
\(83\) 0.885035 + 2.72386i 0.0971453 + 0.298982i 0.987807 0.155684i \(-0.0497583\pi\)
−0.890662 + 0.454667i \(0.849758\pi\)
\(84\) 2.52528 0.417643i 0.275531 0.0455686i
\(85\) −7.88248 0.253784i −0.854975 0.0275267i
\(86\) −1.64253 3.04426i −0.177118 0.328271i
\(87\) −11.9935 + 5.51454i −1.28584 + 0.591221i
\(88\) 2.94191 + 4.88702i 0.313608 + 0.520958i
\(89\) 7.36821 + 10.1415i 0.781029 + 1.07499i 0.995168 + 0.0981907i \(0.0313055\pi\)
−0.214139 + 0.976803i \(0.568694\pi\)
\(90\) −0.643661 9.46497i −0.0678478 0.997696i
\(91\) 2.06014 2.83555i 0.215962 0.297246i
\(92\) 0.117980 + 2.50346i 0.0123003 + 0.261004i
\(93\) −6.05139 + 10.7802i −0.627500 + 1.11786i
\(94\) 2.58016 + 14.1289i 0.266123 + 1.45728i
\(95\) 6.64886 + 0.214066i 0.682159 + 0.0219627i
\(96\) −9.76858 + 0.758188i −0.997001 + 0.0773822i
\(97\) 2.66343 8.19720i 0.270430 0.832299i −0.719962 0.694013i \(-0.755841\pi\)
0.990392 0.138286i \(-0.0441592\pi\)
\(98\) −8.03276 + 4.33407i −0.811431 + 0.437808i
\(99\) −3.15090 5.16497i −0.316677 0.519099i
\(100\) 9.56253 2.92540i 0.956253 0.292540i
\(101\) 17.6364i 1.75489i 0.479681 + 0.877443i \(0.340753\pi\)
−0.479681 + 0.877443i \(0.659247\pi\)
\(102\) 0.144480 8.63809i 0.0143057 0.855298i
\(103\) −5.21717 1.69516i −0.514063 0.167029i 0.0404864 0.999180i \(-0.487109\pi\)
−0.554549 + 0.832151i \(0.687109\pi\)
\(104\) −8.79378 + 10.1330i −0.862301 + 0.993618i
\(105\) −1.11119 2.63715i −0.108441 0.257360i
\(106\) 17.1112 3.12479i 1.66199 0.303506i
\(107\) 6.48954 0.627367 0.313684 0.949528i \(-0.398437\pi\)
0.313684 + 0.949528i \(0.398437\pi\)
\(108\) 10.3562 0.865304i 0.996528 0.0832639i
\(109\) −6.74713 4.90208i −0.646258 0.469534i 0.215736 0.976452i \(-0.430785\pi\)
−0.861994 + 0.506918i \(0.830785\pi\)
\(110\) 4.54835 4.47043i 0.433668 0.426239i
\(111\) 2.11562 0.248254i 0.200806 0.0235632i
\(112\) −2.71255 + 1.17362i −0.256312 + 0.110897i
\(113\) 2.26858 3.12244i 0.213410 0.293734i −0.688869 0.724886i \(-0.741893\pi\)
0.902280 + 0.431152i \(0.141893\pi\)
\(114\) −0.121869 + 7.28622i −0.0114141 + 0.682417i
\(115\) 2.69140 0.779680i 0.250974 0.0727055i
\(116\) 11.8962 9.53000i 1.10453 0.884838i
\(117\) 9.26363 10.8025i 0.856423 0.998689i
\(118\) −6.88710 0.925165i −0.634009 0.0851684i
\(119\) −0.805311 2.47849i −0.0738228 0.227203i
\(120\) 3.36617 + 10.4244i 0.307288 + 0.951616i
\(121\) −2.14234 + 6.59346i −0.194759 + 0.599405i
\(122\) −3.85588 + 8.02952i −0.349095 + 0.726959i
\(123\) 0.350916 + 2.99051i 0.0316410 + 0.269645i
\(124\) 3.76724 13.7690i 0.338308 1.23649i
\(125\) −5.66904 9.63649i −0.507055 0.861914i
\(126\) 2.86969 1.26177i 0.255653 0.112407i
\(127\) 1.06653 + 1.46796i 0.0946396 + 0.130260i 0.853711 0.520747i \(-0.174347\pi\)
−0.759071 + 0.651008i \(0.774347\pi\)
\(128\) 10.7326 3.57933i 0.948635 0.316371i
\(129\) −2.87264 3.11385i −0.252922 0.274159i
\(130\) 13.3060 + 6.92520i 1.16702 + 0.607381i
\(131\) 5.48334 + 16.8760i 0.479082 + 1.47446i 0.840373 + 0.542009i \(0.182336\pi\)
−0.361291 + 0.932453i \(0.617664\pi\)
\(132\) 4.97356 + 4.90616i 0.432893 + 0.427027i
\(133\) 0.679279 + 2.09061i 0.0589010 + 0.181278i
\(134\) −9.04545 + 9.48178i −0.781408 + 0.819101i
\(135\) −3.63555 11.0355i −0.312898 0.949787i
\(136\) 2.25208 + 9.71827i 0.193115 + 0.833334i
\(137\) 2.75560 3.79276i 0.235427 0.324037i −0.674914 0.737896i \(-0.735819\pi\)
0.910341 + 0.413859i \(0.135819\pi\)
\(138\) 0.899574 + 2.93472i 0.0765769 + 0.249820i
\(139\) 12.4665 + 17.1586i 1.05739 + 1.45538i 0.882219 + 0.470840i \(0.156049\pi\)
0.175175 + 0.984537i \(0.443951\pi\)
\(140\) 1.98192 + 2.64407i 0.167503 + 0.223465i
\(141\) 7.34842 + 15.9820i 0.618849 + 1.34593i
\(142\) 3.55941 + 19.4912i 0.298699 + 1.63567i
\(143\) 9.56642 0.799984
\(144\) −11.3610 + 3.86356i −0.946752 + 0.321963i
\(145\) −13.4577 10.4554i −1.11760 0.868275i
\(146\) 3.27815 6.82646i 0.271302 0.564962i
\(147\) −8.21638 + 7.57992i −0.677676 + 0.625181i
\(148\) −2.30091 + 0.869357i −0.189133 + 0.0714607i
\(149\) 4.19467i 0.343641i 0.985128 + 0.171820i \(0.0549649\pi\)
−0.985128 + 0.171820i \(0.945035\pi\)
\(150\) 10.4590 6.37258i 0.853972 0.520319i
\(151\) 1.91066i 0.155487i −0.996973 0.0777437i \(-0.975228\pi\)
0.996973 0.0777437i \(-0.0247716\pi\)
\(152\) −1.89963 8.19734i −0.154080 0.664892i
\(153\) −2.44948 10.2935i −0.198029 0.832180i
\(154\) 1.89969 + 0.912257i 0.153082 + 0.0735118i
\(155\) −15.9517 0.513581i −1.28127 0.0412518i
\(156\) −7.35993 + 14.6916i −0.589266 + 1.17627i
\(157\) −20.1739 −1.61006 −0.805028 0.593237i \(-0.797850\pi\)
−0.805028 + 0.593237i \(0.797850\pi\)
\(158\) 21.5980 3.94415i 1.71825 0.313780i
\(159\) 19.3555 8.89955i 1.53499 0.705780i
\(160\) −6.68453 10.7386i −0.528459 0.848959i
\(161\) 0.544239 + 0.749080i 0.0428920 + 0.0590358i
\(162\) 12.0258 4.16896i 0.944836 0.327544i
\(163\) −0.834692 + 1.14885i −0.0653781 + 0.0899853i −0.840454 0.541883i \(-0.817712\pi\)
0.775076 + 0.631868i \(0.217712\pi\)
\(164\) −1.22887 3.25242i −0.0959585 0.253971i
\(165\) 4.04053 6.68450i 0.314555 0.520388i
\(166\) −2.93067 2.79581i −0.227464 0.216997i
\(167\) 3.66202 + 11.2705i 0.283376 + 0.872140i 0.986881 + 0.161450i \(0.0516171\pi\)
−0.703505 + 0.710690i \(0.748383\pi\)
\(168\) −2.86253 + 2.21560i −0.220849 + 0.170937i
\(169\) 2.93595 + 9.03593i 0.225842 + 0.695071i
\(170\) 9.98102 4.97745i 0.765509 0.381753i
\(171\) 2.06613 + 8.68256i 0.158001 + 0.663972i
\(172\) 4.08861 + 2.68590i 0.311754 + 0.204798i
\(173\) −0.315397 0.434107i −0.0239792 0.0330046i 0.796859 0.604165i \(-0.206493\pi\)
−0.820838 + 0.571161i \(0.806493\pi\)
\(174\) 11.2241 14.9174i 0.850893 1.13089i
\(175\) 2.35930 2.84299i 0.178346 0.214910i
\(176\) −6.94330 4.10685i −0.523371 0.309566i
\(177\) −8.45271 + 0.991870i −0.635345 + 0.0745535i
\(178\) −15.9808 7.67420i −1.19781 0.575205i
\(179\) 2.22699 6.85397i 0.166453 0.512290i −0.832687 0.553743i \(-0.813199\pi\)
0.999140 + 0.0414537i \(0.0131989\pi\)
\(180\) 7.15710 + 11.3479i 0.533459 + 0.845826i
\(181\) −3.38179 10.4081i −0.251366 0.773626i −0.994524 0.104509i \(-0.966673\pi\)
0.743158 0.669116i \(-0.233327\pi\)
\(182\) −0.659923 + 4.91259i −0.0489167 + 0.364145i
\(183\) −2.13899 + 10.6975i −0.158119 + 0.790781i
\(184\) −1.82798 3.03660i −0.134761 0.223861i
\(185\) 1.54397 + 2.27565i 0.113515 + 0.167309i
\(186\) 0.292383 17.4808i 0.0214386 1.28176i
\(187\) 4.18091 5.75453i 0.305738 0.420813i
\(188\) −12.6992 15.8523i −0.926187 1.15615i
\(189\) 3.02225 2.36787i 0.219836 0.172237i
\(190\) −8.41898 + 4.19847i −0.610777 + 0.304589i
\(191\) −6.33074 4.59955i −0.458076 0.332812i 0.334700 0.942325i \(-0.391365\pi\)
−0.792776 + 0.609513i \(0.791365\pi\)
\(192\) 11.6489 7.50353i 0.840688 0.541520i
\(193\) 1.83318 0.131955 0.0659777 0.997821i \(-0.478983\pi\)
0.0659777 + 0.997821i \(0.478983\pi\)
\(194\) 2.18972 + 11.9909i 0.157213 + 0.860894i
\(195\) 17.8897 + 4.17998i 1.28111 + 0.299335i
\(196\) 7.08718 10.7884i 0.506227 0.770604i
\(197\) −10.0262 3.25772i −0.714340 0.232103i −0.0707724 0.997492i \(-0.522546\pi\)
−0.643567 + 0.765389i \(0.722546\pi\)
\(198\) 7.39005 + 4.31244i 0.525188 + 0.306472i
\(199\) 19.8686i 1.40845i 0.709978 + 0.704223i \(0.248705\pi\)
−0.709978 + 0.704223i \(0.751295\pi\)
\(200\) −9.93712 + 10.0625i −0.702661 + 0.711525i
\(201\) −7.85613 + 13.9953i −0.554129 + 0.987150i
\(202\) −11.8433 21.9504i −0.833294 1.54442i
\(203\) 1.74017 5.35570i 0.122136 0.375897i
\(204\) 5.62090 + 10.8481i 0.393542 + 0.759516i
\(205\) −3.21672 + 2.18247i −0.224665 + 0.152430i
\(206\) 7.63168 1.39367i 0.531724 0.0971013i
\(207\) 1.95784 + 3.20930i 0.136079 + 0.223062i
\(208\) 4.14024 18.5168i 0.287074 1.28391i
\(209\) −3.52659 + 4.85393i −0.243939 + 0.335754i
\(210\) 3.15392 + 2.53603i 0.217641 + 0.175003i
\(211\) −13.5197 18.6083i −0.930737 1.28105i −0.959571 0.281465i \(-0.909180\pi\)
0.0288343 0.999584i \(-0.490820\pi\)
\(212\) −19.1984 + 15.3798i −1.31855 + 1.05629i
\(213\) 10.1374 + 22.0477i 0.694602 + 1.51068i
\(214\) −8.07693 + 4.35791i −0.552128 + 0.297901i
\(215\) 1.85662 5.14456i 0.126621 0.350856i
\(216\) −12.3084 + 8.03146i −0.837478 + 0.546472i
\(217\) −1.62970 5.01571i −0.110631 0.340488i
\(218\) 11.6894 + 1.57028i 0.791708 + 0.106352i
\(219\) 1.81851 9.09468i 0.122883 0.614562i
\(220\) −2.65889 + 8.61829i −0.179262 + 0.581045i
\(221\) 15.9114 + 5.16994i 1.07032 + 0.347768i
\(222\) −2.46641 + 1.72968i −0.165534 + 0.116088i
\(223\) 11.1078 + 15.2886i 0.743833 + 1.02380i 0.998389 + 0.0567398i \(0.0180705\pi\)
−0.254556 + 0.967058i \(0.581929\pi\)
\(224\) 2.58794 3.28225i 0.172914 0.219304i
\(225\) 10.4767 10.7349i 0.698450 0.715659i
\(226\) −0.726691 + 5.40963i −0.0483388 + 0.359843i
\(227\) −18.1376 + 13.1778i −1.20384 + 0.874639i −0.994657 0.103238i \(-0.967080\pi\)
−0.209181 + 0.977877i \(0.567080\pi\)
\(228\) −4.74122 9.15032i −0.313995 0.605995i
\(229\) 6.33083 19.4843i 0.418353 1.28756i −0.490864 0.871236i \(-0.663319\pi\)
0.909217 0.416322i \(-0.136681\pi\)
\(230\) −2.82616 + 2.77775i −0.186351 + 0.183159i
\(231\) 2.53090 + 0.506061i 0.166521 + 0.0332964i
\(232\) −8.40639 + 19.8497i −0.551907 + 1.30320i
\(233\) −5.52727 + 1.79592i −0.362104 + 0.117655i −0.484418 0.874837i \(-0.660968\pi\)
0.122314 + 0.992491i \(0.460968\pi\)
\(234\) −4.27542 + 19.6656i −0.279493 + 1.28558i
\(235\) −13.9324 + 17.9330i −0.908849 + 1.16982i
\(236\) 9.19302 3.47342i 0.598415 0.226100i
\(237\) 24.4308 11.2331i 1.58695 0.729670i
\(238\) 2.66668 + 2.54396i 0.172855 + 0.164901i
\(239\) 9.85377 7.15919i 0.637388 0.463089i −0.221564 0.975146i \(-0.571116\pi\)
0.858952 + 0.512057i \(0.171116\pi\)
\(240\) −11.1899 10.7139i −0.722303 0.691576i
\(241\) 9.23220 + 6.70758i 0.594698 + 0.432074i 0.843993 0.536354i \(-0.180199\pi\)
−0.249295 + 0.968428i \(0.580199\pi\)
\(242\) −1.76132 9.64492i −0.113222 0.619999i
\(243\) 13.0045 8.59554i 0.834238 0.551404i
\(244\) −0.592995 12.5829i −0.0379626 0.805540i
\(245\) −13.5747 4.89900i −0.867258 0.312985i
\(246\) −2.44496 3.48636i −0.155885 0.222282i
\(247\) −13.4213 4.36084i −0.853975 0.277473i
\(248\) 4.55752 + 19.6668i 0.289403 + 1.24884i
\(249\) −4.32572 2.42821i −0.274132 0.153882i
\(250\) 13.5269 + 8.18673i 0.855517 + 0.517774i
\(251\) −24.5997 −1.55272 −0.776358 0.630292i \(-0.782935\pi\)
−0.776358 + 0.630292i \(0.782935\pi\)
\(252\) −2.72433 + 3.49749i −0.171617 + 0.220321i
\(253\) −0.780951 + 2.40352i −0.0490979 + 0.151108i
\(254\) −2.31319 1.11083i −0.145143 0.0696994i
\(255\) 10.3329 8.93445i 0.647072 0.559497i
\(256\) −10.9542 + 11.6621i −0.684640 + 0.728881i
\(257\) 2.38653i 0.148868i 0.997226 + 0.0744339i \(0.0237150\pi\)
−0.997226 + 0.0744339i \(0.976285\pi\)
\(258\) 5.66635 + 1.94646i 0.352771 + 0.121181i
\(259\) −0.534126 + 0.735161i −0.0331890 + 0.0456807i
\(260\) −21.2113 + 0.316224i −1.31547 + 0.0196114i
\(261\) 8.79194 21.1061i 0.544207 1.30643i
\(262\) −18.1573 17.3218i −1.12176 1.07014i
\(263\) −12.4762 9.06451i −0.769318 0.558942i 0.132436 0.991191i \(-0.457720\pi\)
−0.901754 + 0.432250i \(0.857720\pi\)
\(264\) −9.48476 2.76636i −0.583747 0.170258i
\(265\) 21.7184 + 16.8733i 1.33415 + 1.03652i
\(266\) −2.24934 2.14583i −0.137916 0.131569i
\(267\) −21.2908 4.25715i −1.30297 0.260533i
\(268\) 4.89076 17.8754i 0.298751 1.09191i
\(269\) 21.7376 7.06297i 1.32536 0.430637i 0.441031 0.897492i \(-0.354613\pi\)
0.884334 + 0.466855i \(0.154613\pi\)
\(270\) 11.9355 + 11.2935i 0.726371 + 0.687302i
\(271\) −16.1471 5.24650i −0.980865 0.318702i −0.225671 0.974204i \(-0.572457\pi\)
−0.755194 + 0.655501i \(0.772457\pi\)
\(272\) −9.32905 10.5831i −0.565657 0.641694i
\(273\) 0.707504 + 6.02934i 0.0428201 + 0.364912i
\(274\) −0.882696 + 6.57096i −0.0533256 + 0.396966i
\(275\) 10.0628 + 0.648635i 0.606810 + 0.0391142i
\(276\) −3.09037 3.04849i −0.186018 0.183498i
\(277\) −12.5971 + 9.15236i −0.756889 + 0.549912i −0.897955 0.440088i \(-0.854947\pi\)
0.141065 + 0.990000i \(0.454947\pi\)
\(278\) −27.0384 12.9842i −1.62166 0.778740i
\(279\) −4.95699 20.8309i −0.296767 1.24711i
\(280\) −4.24228 1.95992i −0.253525 0.117128i
\(281\) 5.62578 1.82793i 0.335606 0.109045i −0.136366 0.990659i \(-0.543542\pi\)
0.471972 + 0.881614i \(0.343542\pi\)
\(282\) −19.8783 14.9566i −1.18373 0.890656i
\(283\) 29.2694 9.51022i 1.73989 0.565324i 0.745069 0.666988i \(-0.232417\pi\)
0.994819 + 0.101664i \(0.0324166\pi\)
\(284\) −17.5190 21.8687i −1.03956 1.29767i
\(285\) −8.71580 + 7.53620i −0.516280 + 0.446406i
\(286\) −11.9064 + 6.42412i −0.704043 + 0.379866i
\(287\) −1.03918 0.755007i −0.0613407 0.0445666i
\(288\) 11.5455 12.4379i 0.680327 0.732909i
\(289\) −3.68946 + 2.68055i −0.217027 + 0.157680i
\(290\) 23.7706 + 3.97569i 1.39586 + 0.233461i
\(291\) 6.23644 + 13.5636i 0.365587 + 0.795111i
\(292\) 0.504146 + 10.6976i 0.0295029 + 0.626032i
\(293\) 12.0125i 0.701776i −0.936417 0.350888i \(-0.885880\pi\)
0.936417 0.350888i \(-0.114120\pi\)
\(294\) 5.13605 14.9516i 0.299540 0.871993i
\(295\) −6.16878 9.09211i −0.359160 0.529363i
\(296\) 2.27993 2.62713i 0.132518 0.152699i
\(297\) 10.0772 + 2.87476i 0.584741 + 0.166810i
\(298\) −2.81684 5.22072i −0.163175 0.302428i
\(299\) −5.94419 −0.343761
\(300\) −8.73796 + 14.9549i −0.504486 + 0.863420i
\(301\) 1.80729 0.104170
\(302\) 1.28306 + 2.37802i 0.0738320 + 0.136840i
\(303\) −20.7130 22.4522i −1.18993 1.28984i
\(304\) 7.86905 + 8.92683i 0.451321 + 0.511989i
\(305\) −13.5276 + 3.91885i −0.774587 + 0.224392i
\(306\) 9.96102 + 11.1665i 0.569434 + 0.638345i
\(307\) 24.1269i 1.37700i −0.725239 0.688498i \(-0.758271\pi\)
0.725239 0.688498i \(-0.241729\pi\)
\(308\) −2.97698 + 0.140296i −0.169629 + 0.00799410i
\(309\) 8.63263 3.96923i 0.491093 0.225802i
\(310\) 20.1985 10.0728i 1.14720 0.572098i
\(311\) 15.0379 10.9257i 0.852720 0.619537i −0.0731745 0.997319i \(-0.523313\pi\)
0.925895 + 0.377782i \(0.123313\pi\)
\(312\) −0.705587 23.2277i −0.0399460 1.31501i
\(313\) −1.95261 1.41866i −0.110368 0.0801872i 0.531232 0.847226i \(-0.321729\pi\)
−0.641600 + 0.767039i \(0.721729\pi\)
\(314\) 25.1087 13.5474i 1.41696 0.764523i
\(315\) 4.51180 + 2.05222i 0.254211 + 0.115630i
\(316\) −24.2325 + 19.4126i −1.36318 + 1.09205i
\(317\) −11.1398 + 3.61953i −0.625671 + 0.203293i −0.604657 0.796486i \(-0.706690\pi\)
−0.0210145 + 0.999779i \(0.506690\pi\)
\(318\) −18.1137 + 24.0742i −1.01577 + 1.35002i
\(319\) 14.6180 4.74967i 0.818449 0.265930i
\(320\) 15.5309 + 8.87646i 0.868203 + 0.496209i
\(321\) −8.26157 + 7.62160i −0.461116 + 0.425396i
\(322\) −1.18039 0.566840i −0.0657807 0.0315887i
\(323\) −8.48882 + 6.16749i −0.472331 + 0.343168i
\(324\) −12.1678 + 13.2644i −0.675991 + 0.736910i
\(325\) 5.86299 + 22.9815i 0.325220 + 1.27478i
\(326\) 0.267376 1.99039i 0.0148086 0.110238i
\(327\) 14.3467 1.68349i 0.793375 0.0930974i
\(328\) 3.71355 + 3.22277i 0.205047 + 0.177948i
\(329\) −7.13676 2.31887i −0.393462 0.127844i
\(330\) −0.540042 + 11.0329i −0.0297283 + 0.607342i
\(331\) −10.7215 + 3.48361i −0.589305 + 0.191477i −0.588465 0.808523i \(-0.700267\pi\)
−0.000840117 1.00000i \(0.500267\pi\)
\(332\) 5.52500 + 1.51166i 0.303224 + 0.0829631i
\(333\) −2.40175 + 2.80072i −0.131615 + 0.153478i
\(334\) −12.1263 11.5683i −0.663520 0.632987i
\(335\) −20.7091 0.666749i −1.13146 0.0364284i
\(336\) 2.07488 4.67982i 0.113194 0.255305i
\(337\) 27.8332 + 20.2220i 1.51617 + 1.10156i 0.963344 + 0.268269i \(0.0864517\pi\)
0.552829 + 0.833295i \(0.313548\pi\)
\(338\) −9.72199 9.27462i −0.528807 0.504473i
\(339\) 0.779086 + 6.63937i 0.0423142 + 0.360601i
\(340\) −9.07996 + 12.8975i −0.492430 + 0.699466i
\(341\) 8.46087 11.6454i 0.458182 0.630633i
\(342\) −8.40211 9.41891i −0.454334 0.509317i
\(343\) 9.94103i 0.536765i
\(344\) −6.89238 0.597276i −0.371612 0.0322030i
\(345\) −2.51062 + 4.15348i −0.135167 + 0.223616i
\(346\) 0.684062 + 0.328495i 0.0367754 + 0.0176600i
\(347\) −1.05592 + 3.24978i −0.0566846 + 0.174457i −0.975390 0.220486i \(-0.929236\pi\)
0.918706 + 0.394943i \(0.129236\pi\)
\(348\) −3.95207 + 26.1036i −0.211853 + 1.39930i
\(349\) 8.80176 0.471147 0.235574 0.971857i \(-0.424303\pi\)
0.235574 + 0.971857i \(0.424303\pi\)
\(350\) −1.02725 + 5.12275i −0.0549091 + 0.273822i
\(351\) 0.893749 + 24.6318i 0.0477048 + 1.31475i
\(352\) 11.3996 + 0.448799i 0.607598 + 0.0239211i
\(353\) 6.16148 + 2.00199i 0.327943 + 0.106555i 0.468361 0.883537i \(-0.344845\pi\)
−0.140418 + 0.990092i \(0.544845\pi\)
\(354\) 9.85425 6.91073i 0.523747 0.367301i
\(355\) −19.2202 + 24.7392i −1.02010 + 1.31302i
\(356\) 25.0433 1.18021i 1.32729 0.0625511i
\(357\) 3.93606 + 2.20948i 0.208318 + 0.116938i
\(358\) 1.83091 + 10.0260i 0.0967664 + 0.529890i
\(359\) −16.1179 11.7103i −0.850668 0.618046i 0.0746622 0.997209i \(-0.476212\pi\)
−0.925330 + 0.379162i \(0.876212\pi\)
\(360\) −16.5283 9.31754i −0.871116 0.491078i
\(361\) −8.21101 + 5.96565i −0.432159 + 0.313982i
\(362\) 11.1983 + 10.6830i 0.588570 + 0.561486i
\(363\) −5.01632 10.9099i −0.263288 0.572623i
\(364\) −2.47760 6.55740i −0.129861 0.343701i
\(365\) 11.5007 3.33169i 0.601976 0.174388i
\(366\) −4.52146 14.7506i −0.236341 0.771025i
\(367\) 18.0898 5.87772i 0.944278 0.306814i 0.203890 0.978994i \(-0.434642\pi\)
0.740388 + 0.672179i \(0.234642\pi\)
\(368\) 4.31428 + 2.55183i 0.224898 + 0.133023i
\(369\) −3.95892 3.39496i −0.206093 0.176735i
\(370\) −3.44981 1.79547i −0.179347 0.0933421i
\(371\) −2.80835 + 8.64321i −0.145802 + 0.448733i
\(372\) 11.3750 + 21.9531i 0.589765 + 1.13822i
\(373\) 0.455607 0.331018i 0.0235904 0.0171395i −0.575928 0.817501i \(-0.695359\pi\)
0.599518 + 0.800361i \(0.295359\pi\)
\(374\) −1.33926 + 9.96973i −0.0692517 + 0.515522i
\(375\) 18.5346 + 5.60985i 0.957120 + 0.289692i
\(376\) 26.4508 + 11.2020i 1.36410 + 0.577697i
\(377\) 21.2496 + 29.2476i 1.09441 + 1.50633i
\(378\) −2.17142 + 4.97660i −0.111686 + 0.255969i
\(379\) 14.3712 + 4.66948i 0.738199 + 0.239855i 0.653896 0.756585i \(-0.273134\pi\)
0.0843032 + 0.996440i \(0.473134\pi\)
\(380\) 7.65893 10.8790i 0.392895 0.558083i
\(381\) −3.08180 0.616214i −0.157885 0.0315696i
\(382\) 10.9680 + 1.47337i 0.561173 + 0.0753840i
\(383\) 2.52352 + 7.76661i 0.128946 + 0.396855i 0.994599 0.103789i \(-0.0330966\pi\)
−0.865653 + 0.500644i \(0.833097\pi\)
\(384\) −9.45949 + 17.1615i −0.482728 + 0.875770i
\(385\) 0.927154 + 3.20047i 0.0472522 + 0.163111i
\(386\) −2.28159 + 1.23103i −0.116130 + 0.0626580i
\(387\) 7.31408 + 0.590359i 0.371796 + 0.0300096i
\(388\) −10.7776 13.4535i −0.547148 0.682996i
\(389\) −2.11053 2.90489i −0.107008 0.147284i 0.752154 0.658987i \(-0.229015\pi\)
−0.859162 + 0.511703i \(0.829015\pi\)
\(390\) −25.0727 + 6.81101i −1.26960 + 0.344889i
\(391\) −2.59785 + 3.57563i −0.131379 + 0.180827i
\(392\) −1.57601 + 18.1866i −0.0796005 + 0.918564i
\(393\) −26.8005 15.0443i −1.35191 0.758883i
\(394\) 14.6664 2.67832i 0.738882 0.134932i
\(395\) 27.4133 + 21.2977i 1.37931 + 1.07160i
\(396\) −12.0937 0.404669i −0.607729 0.0203354i
\(397\) 7.18092 22.1006i 0.360400 1.10920i −0.592412 0.805635i \(-0.701824\pi\)
0.952812 0.303561i \(-0.0981758\pi\)
\(398\) −13.3423 24.7286i −0.668790 1.23953i
\(399\) −3.32006 1.86369i −0.166211 0.0933012i
\(400\) 5.61057 19.1969i 0.280529 0.959846i
\(401\) 19.9923i 0.998366i −0.866497 0.499183i \(-0.833634\pi\)
0.866497 0.499183i \(-0.166366\pi\)
\(402\) 0.379583 22.6942i 0.0189319 1.13189i
\(403\) 32.1998 + 10.4624i 1.60399 + 0.521168i
\(404\) 29.4806 + 19.3665i 1.46672 + 0.963519i
\(405\) 17.5889 + 9.77913i 0.873998 + 0.485929i
\(406\) 1.43067 + 7.83433i 0.0710031 + 0.388811i
\(407\) −2.48025 −0.122941
\(408\) −14.2806 9.72698i −0.706995 0.481557i
\(409\) 0.968333 + 0.703535i 0.0478810 + 0.0347876i 0.611468 0.791269i \(-0.290579\pi\)
−0.563587 + 0.826056i \(0.690579\pi\)
\(410\) 2.53797 4.87643i 0.125341 0.240830i
\(411\) 0.946339 + 8.06470i 0.0466795 + 0.397802i
\(412\) −8.56256 + 6.85946i −0.421847 + 0.337941i
\(413\) 2.13404 2.93725i 0.105009 0.144533i
\(414\) −4.59188 2.67958i −0.225679 0.131694i
\(415\) 0.206082 6.40086i 0.0101162 0.314206i
\(416\) 7.28161 + 25.8265i 0.357010 + 1.26625i
\(417\) −36.0225 7.20279i −1.76403 0.352722i
\(418\) 1.12967 8.40945i 0.0552538 0.411320i
\(419\) 7.01031 + 21.5755i 0.342476 + 1.05403i 0.962921 + 0.269783i \(0.0869519\pi\)
−0.620445 + 0.784250i \(0.713048\pi\)
\(420\) −5.62841 1.03841i −0.274638 0.0506693i
\(421\) −5.11841 + 15.7529i −0.249456 + 0.767747i 0.745415 + 0.666600i \(0.232251\pi\)
−0.994871 + 0.101147i \(0.967749\pi\)
\(422\) 29.3228 + 14.0812i 1.42741 + 0.685461i
\(423\) −28.1249 11.7157i −1.36748 0.569638i
\(424\) 13.5665 32.0341i 0.658848 1.55572i
\(425\) 16.3865 + 6.51704i 0.794862 + 0.316123i
\(426\) −27.4227 20.6332i −1.32864 0.999681i
\(427\) −2.73547 3.76505i −0.132378 0.182203i
\(428\) 7.12615 10.8478i 0.344456 0.524347i
\(429\) −12.1786 + 11.2352i −0.587989 + 0.542442i
\(430\) 1.14395 + 7.64973i 0.0551660 + 0.368903i
\(431\) 11.0015 + 33.8590i 0.529921 + 1.63093i 0.754374 + 0.656445i \(0.227941\pi\)
−0.224453 + 0.974485i \(0.572059\pi\)
\(432\) 9.92573 18.2614i 0.477552 0.878604i
\(433\) −6.69518 20.6056i −0.321750 0.990244i −0.972886 0.231284i \(-0.925707\pi\)
0.651137 0.758961i \(-0.274293\pi\)
\(434\) 5.39653 + 5.14820i 0.259042 + 0.247121i
\(435\) 29.4117 2.49491i 1.41018 0.119622i
\(436\) −15.6032 + 5.89540i −0.747259 + 0.282339i
\(437\) 2.19128 3.01604i 0.104823 0.144277i
\(438\) 3.84401 + 12.5405i 0.183674 + 0.599208i
\(439\) −7.99755 11.0077i −0.381702 0.525368i 0.574332 0.818622i \(-0.305262\pi\)
−0.956035 + 0.293254i \(0.905262\pi\)
\(440\) −2.47815 12.5119i −0.118141 0.596482i
\(441\) 1.55776 19.2994i 0.0741789 0.919018i
\(442\) −23.2753 + 4.25043i −1.10709 + 0.202173i
\(443\) −22.1217 −1.05104 −0.525518 0.850782i \(-0.676128\pi\)
−0.525518 + 0.850782i \(0.676128\pi\)
\(444\) 1.90818 3.80903i 0.0905583 0.180769i
\(445\) −7.79952 26.9234i −0.369733 1.27629i
\(446\) −24.0915 11.5691i −1.14077 0.547811i
\(447\) −4.92641 5.34006i −0.233011 0.252576i
\(448\) −1.01685 + 5.82299i −0.0480415 + 0.275110i
\(449\) 1.26422i 0.0596623i −0.999555 0.0298312i \(-0.990503\pi\)
0.999555 0.0298312i \(-0.00949696\pi\)
\(450\) −5.83066 + 20.3962i −0.274860 + 0.961484i
\(451\) 3.50593i 0.165088i
\(452\) −2.72827 7.22086i −0.128327 0.339641i
\(453\) 2.24396 + 2.43238i 0.105431 + 0.114283i
\(454\) 13.7250 28.5811i 0.644146 1.34138i
\(455\) −6.48543 + 4.40021i −0.304041 + 0.206285i
\(456\) 12.0457 + 8.20470i 0.564090 + 0.384220i
\(457\) 24.3254 1.13789 0.568946 0.822375i \(-0.307351\pi\)
0.568946 + 0.822375i \(0.307351\pi\)
\(458\) 5.20486 + 28.5016i 0.243207 + 1.33179i
\(459\) 15.2075 + 10.2275i 0.709824 + 0.477377i
\(460\) 1.65212 5.35505i 0.0770307 0.249681i
\(461\) −8.55950 11.7811i −0.398656 0.548702i 0.561750 0.827307i \(-0.310128\pi\)
−0.960406 + 0.278604i \(0.910128\pi\)
\(462\) −3.48982 + 1.06973i −0.162361 + 0.0497682i
\(463\) 0.519225 0.714652i 0.0241304 0.0332127i −0.796781 0.604268i \(-0.793466\pi\)
0.820912 + 0.571055i \(0.193466\pi\)
\(464\) −2.86699 30.3503i −0.133097 1.40898i
\(465\) 20.9106 18.0806i 0.969708 0.838467i
\(466\) 5.67328 5.94694i 0.262809 0.275486i
\(467\) −0.698061 2.14841i −0.0323024 0.0994167i 0.933605 0.358303i \(-0.116645\pi\)
−0.965908 + 0.258886i \(0.916645\pi\)
\(468\) −7.88482 27.3471i −0.364476 1.26412i
\(469\) −2.11574 6.51157i −0.0976957 0.300676i
\(470\) 5.29782 31.6756i 0.244370 1.46109i
\(471\) 25.6826 23.6932i 1.18339 1.09172i
\(472\) −9.10921 + 10.4964i −0.419285 + 0.483137i
\(473\) 2.89946 + 3.99076i 0.133317 + 0.183495i
\(474\) −22.8634 + 30.3868i −1.05015 + 1.39571i
\(475\) −13.8220 5.49712i −0.634197 0.252225i
\(476\) −5.02731 1.37549i −0.230426 0.0630454i
\(477\) −14.1887 + 34.0616i −0.649657 + 1.55958i
\(478\) −7.45649 + 15.5275i −0.341052 + 0.710210i
\(479\) −6.91709 + 21.2886i −0.316050 + 0.972702i 0.659270 + 0.751906i \(0.270865\pi\)
−0.975320 + 0.220796i \(0.929135\pi\)
\(480\) 21.1217 + 5.82023i 0.964068 + 0.265656i
\(481\) −1.80272 5.54821i −0.0821971 0.252977i
\(482\) −15.9948 2.14863i −0.728543 0.0978674i
\(483\) −1.57260 0.314446i −0.0715558 0.0143078i
\(484\) 8.66899 + 10.8214i 0.394045 + 0.491881i
\(485\) −11.8241 + 15.2194i −0.536906 + 0.691077i
\(486\) −10.4133 + 19.4310i −0.472359 + 0.881406i
\(487\) 0.946906 1.30330i 0.0429084 0.0590584i −0.787024 0.616923i \(-0.788379\pi\)
0.829932 + 0.557864i \(0.188379\pi\)
\(488\) 9.18785 + 15.2626i 0.415914 + 0.690906i
\(489\) −0.286653 2.44286i −0.0129629 0.110470i
\(490\) 20.1850 3.01849i 0.911867 0.136361i
\(491\) −13.8437 10.0580i −0.624757 0.453912i 0.229823 0.973232i \(-0.426185\pi\)
−0.854580 + 0.519320i \(0.826185\pi\)
\(492\) 5.38421 + 2.69729i 0.242739 + 0.121603i
\(493\) 26.8803 1.21063
\(494\) 19.6327 3.58524i 0.883315 0.161307i
\(495\) 2.70674 + 13.2551i 0.121659 + 0.595774i
\(496\) −18.8791 21.4169i −0.847698 0.961648i
\(497\) −9.84539 3.19896i −0.441626 0.143493i
\(498\) 7.01444 + 0.117323i 0.314325 + 0.00525738i
\(499\) 10.7652i 0.481918i 0.970535 + 0.240959i \(0.0774620\pi\)
−0.970535 + 0.240959i \(0.922538\pi\)
\(500\) −22.3333 1.10556i −0.998777 0.0494423i
\(501\) −17.8986 10.0472i −0.799650 0.448877i
\(502\) 30.6169 16.5194i 1.36650 0.737296i
\(503\) −2.71748 + 8.36356i −0.121167 + 0.372912i −0.993183 0.116564i \(-0.962812\pi\)
0.872017 + 0.489476i \(0.162812\pi\)
\(504\) 1.04207 6.18247i 0.0464173 0.275389i
\(505\) 13.3871 37.0944i 0.595716 1.65068i
\(506\) −0.642054 3.51587i −0.0285428 0.156299i
\(507\) −14.3498 8.05516i −0.637299 0.357742i
\(508\) 3.62497 0.170834i 0.160832 0.00757951i
\(509\) −15.2010 + 20.9223i −0.673771 + 0.927366i −0.999838 0.0179806i \(-0.994276\pi\)
0.326068 + 0.945346i \(0.394276\pi\)
\(510\) −6.86070 + 18.0587i −0.303797 + 0.799654i
\(511\) 2.32561 + 3.20093i 0.102879 + 0.141601i
\(512\) 5.80230 21.8708i 0.256428 0.966563i
\(513\) −12.8275 8.62686i −0.566347 0.380885i
\(514\) −1.60262 2.97030i −0.0706887 0.131014i
\(515\) 9.68649 + 7.52555i 0.426838 + 0.331615i
\(516\) −8.35949 + 1.38253i −0.368006 + 0.0608626i
\(517\) −6.32918 19.4792i −0.278357 0.856695i
\(518\) 0.171096 1.27367i 0.00751751 0.0559618i
\(519\) 0.911355 + 0.182228i 0.0400040 + 0.00799891i
\(520\) 26.1874 14.6376i 1.14839 0.641899i
\(521\) −15.8802 5.15978i −0.695723 0.226054i −0.0602569 0.998183i \(-0.519192\pi\)
−0.635466 + 0.772129i \(0.719192\pi\)
\(522\) 3.23081 + 32.1728i 0.141409 + 1.40817i
\(523\) 5.98318 + 8.23514i 0.261626 + 0.360097i 0.919540 0.392995i \(-0.128561\pi\)
−0.657914 + 0.753093i \(0.728561\pi\)
\(524\) 34.2308 + 9.36567i 1.49538 + 0.409141i
\(525\) 0.335405 + 6.39016i 0.0146383 + 0.278890i
\(526\) 21.6151 + 2.90362i 0.942463 + 0.126604i
\(527\) 20.3661 14.7968i 0.887161 0.644560i
\(528\) 13.6625 2.92625i 0.594584 0.127349i
\(529\) −6.62214 + 20.3809i −0.287919 + 0.886124i
\(530\) −38.3618 6.41610i −1.66633 0.278698i
\(531\) 9.59591 11.1900i 0.416427 0.485602i
\(532\) 4.24053 + 1.16022i 0.183850 + 0.0503020i
\(533\) 7.84260 2.54822i 0.339701 0.110375i
\(534\) 29.3575 8.99888i 1.27042 0.389420i
\(535\) −13.6494 4.92594i −0.590114 0.212967i
\(536\) 5.91674 + 25.5321i 0.255564 + 1.10282i
\(537\) 5.21451 + 11.3410i 0.225023 + 0.489400i
\(538\) −22.3118 + 23.3880i −0.961930 + 1.00833i
\(539\) 10.5303 7.65068i 0.453570 0.329538i
\(540\) −22.4389 6.04099i −0.965619 0.259963i
\(541\) −2.35065 1.70785i −0.101062 0.0734260i 0.536106 0.844150i \(-0.319895\pi\)
−0.637169 + 0.770724i \(0.719895\pi\)
\(542\) 23.6200 4.31338i 1.01456 0.185276i
\(543\) 16.5289 + 9.27837i 0.709324 + 0.398173i
\(544\) 18.7179 + 6.90708i 0.802522 + 0.296139i
\(545\) 10.4702 + 15.4320i 0.448495 + 0.661033i
\(546\) −4.92944 7.02906i −0.210961 0.300816i
\(547\) 19.2639 + 6.25923i 0.823666 + 0.267625i 0.690375 0.723452i \(-0.257446\pi\)
0.133291 + 0.991077i \(0.457446\pi\)
\(548\) −3.31397 8.77102i −0.141566 0.374680i
\(549\) −9.84054 16.1307i −0.419984 0.688440i
\(550\) −12.9598 + 5.95016i −0.552609 + 0.253716i
\(551\) −22.6735 −0.965924
\(552\) 5.89345 + 1.71891i 0.250842 + 0.0731615i
\(553\) −3.54474 + 10.9096i −0.150737 + 0.463922i
\(554\) 9.53244 19.8505i 0.404995 0.843365i
\(555\) −4.63820 1.08373i −0.196881 0.0460017i
\(556\) 42.3715 1.99684i 1.79695 0.0846847i
\(557\) 0.501584i 0.0212528i 0.999944 + 0.0106264i \(0.00338255\pi\)
−0.999944 + 0.0106264i \(0.996617\pi\)
\(558\) 20.1580 + 22.5975i 0.853358 + 0.956630i
\(559\) −6.81974 + 9.38656i −0.288444 + 0.397009i
\(560\) 6.59612 0.409479i 0.278737 0.0173036i
\(561\) 1.43583 + 12.2361i 0.0606206 + 0.516608i
\(562\) −5.77438 + 6.05292i −0.243578 + 0.255327i
\(563\) 4.55684 + 3.31074i 0.192048 + 0.139531i 0.679654 0.733533i \(-0.262130\pi\)
−0.487606 + 0.873064i \(0.662130\pi\)
\(564\) 34.7845 + 5.26634i 1.46469 + 0.221753i
\(565\) −7.14160 + 4.84540i −0.300449 + 0.203848i
\(566\) −30.0426 + 31.4918i −1.26278 + 1.32370i
\(567\) −1.06657 + 6.56390i −0.0447915 + 0.275658i
\(568\) 36.4898 + 15.4535i 1.53108 + 0.648413i
\(569\) −19.3311 + 6.28105i −0.810401 + 0.263315i −0.684768 0.728762i \(-0.740096\pi\)
−0.125633 + 0.992077i \(0.540096\pi\)
\(570\) 5.78699 15.2325i 0.242390 0.638020i
\(571\) −30.1588 9.79917i −1.26210 0.410083i −0.399861 0.916576i \(-0.630942\pi\)
−0.862244 + 0.506493i \(0.830942\pi\)
\(572\) 10.5049 15.9910i 0.439231 0.668619i
\(573\) 13.4613 1.57960i 0.562355 0.0659886i
\(574\) 1.80038 + 0.241850i 0.0751463 + 0.0100946i
\(575\) −6.25262 0.403036i −0.260752 0.0168077i
\(576\) −6.01728 + 23.2334i −0.250720 + 0.968060i
\(577\) −32.6795 + 23.7431i −1.36047 + 0.988437i −0.362052 + 0.932158i \(0.617924\pi\)
−0.998415 + 0.0562794i \(0.982076\pi\)
\(578\) 2.79187 5.81382i 0.116126 0.241823i
\(579\) −2.33375 + 2.15297i −0.0969874 + 0.0894744i
\(580\) −32.2549 + 11.0145i −1.33931 + 0.457351i
\(581\) 2.01263 0.653942i 0.0834978 0.0271301i
\(582\) −16.8703 12.6934i −0.699294 0.526157i
\(583\) −23.5910 + 7.66517i −0.977038 + 0.317459i
\(584\) −7.81123 12.9758i −0.323231 0.536943i
\(585\) −27.6838 + 15.6891i −1.14459 + 0.648665i
\(586\) 8.06672 + 14.9508i 0.333233 + 0.617613i
\(587\) −29.8263 21.6701i −1.23106 0.894421i −0.234095 0.972214i \(-0.575213\pi\)
−0.996970 + 0.0777929i \(0.975213\pi\)
\(588\) 3.64803 + 22.0578i 0.150442 + 0.909650i
\(589\) −17.1788 + 12.4811i −0.707839 + 0.514275i
\(590\) 13.7833 + 7.17360i 0.567450 + 0.295333i
\(591\) 16.5900 7.62798i 0.682422 0.313773i
\(592\) −1.07342 + 4.80079i −0.0441175 + 0.197311i
\(593\) 3.60378i 0.147989i −0.997259 0.0739947i \(-0.976425\pi\)
0.997259 0.0739947i \(-0.0235748\pi\)
\(594\) −14.4727 + 3.18921i −0.593822 + 0.130855i
\(595\) −0.187518 + 5.82427i −0.00768748 + 0.238772i
\(596\) 7.01172 + 4.60616i 0.287211 + 0.188676i
\(597\) −23.3346 25.2939i −0.955020 1.03521i
\(598\) 7.39818 3.99169i 0.302534 0.163232i
\(599\) −11.2701 −0.460484 −0.230242 0.973133i \(-0.573952\pi\)
−0.230242 + 0.973133i \(0.573952\pi\)
\(600\) 0.832716 24.4807i 0.0339955 0.999422i
\(601\) −26.8415 −1.09489 −0.547443 0.836843i \(-0.684399\pi\)
−0.547443 + 0.836843i \(0.684399\pi\)
\(602\) −2.24936 + 1.21365i −0.0916773 + 0.0494645i
\(603\) −6.43534 27.0434i −0.262067 1.10129i
\(604\) −3.19382 2.09809i −0.129955 0.0853702i
\(605\) 9.51079 12.2418i 0.386669 0.497700i
\(606\) 40.8568 + 14.0348i 1.65969 + 0.570125i
\(607\) 18.6629i 0.757503i 0.925498 + 0.378751i \(0.123646\pi\)
−0.925498 + 0.378751i \(0.876354\pi\)
\(608\) −15.7885 5.82611i −0.640308 0.236280i
\(609\) 4.07463 + 8.86187i 0.165112 + 0.359101i
\(610\) 14.2049 13.9616i 0.575140 0.565288i
\(611\) 38.9739 28.3162i 1.57672 1.14555i
\(612\) −19.8962 7.20879i −0.804255 0.291398i
\(613\) −35.3535 25.6858i −1.42791 1.03744i −0.990400 0.138229i \(-0.955859\pi\)
−0.437514 0.899212i \(-0.644141\pi\)
\(614\) 16.2019 + 30.0285i 0.653856 + 1.21185i
\(615\) 1.53189 6.55627i 0.0617718 0.264374i
\(616\) 3.61096 2.17374i 0.145490 0.0875825i
\(617\) −31.8623 + 10.3527i −1.28273 + 0.416784i −0.869540 0.493862i \(-0.835585\pi\)
−0.413188 + 0.910646i \(0.635585\pi\)
\(618\) −8.07880 + 10.7372i −0.324977 + 0.431913i
\(619\) −21.6969 + 7.04976i −0.872074 + 0.283354i −0.710662 0.703533i \(-0.751605\pi\)
−0.161411 + 0.986887i \(0.551605\pi\)
\(620\) −18.3750 + 26.1006i −0.737960 + 1.04823i
\(621\) −6.26159 1.78626i −0.251269 0.0716801i
\(622\) −11.3794 + 23.6965i −0.456272 + 0.950145i
\(623\) 7.49341 5.44428i 0.300217 0.218121i
\(624\) 16.4762 + 28.4355i 0.659577 + 1.13833i
\(625\) 4.60898 + 24.5715i 0.184359 + 0.982859i
\(626\) 3.38291 + 0.454436i 0.135208 + 0.0181629i
\(627\) −1.21112 10.3211i −0.0483673 0.412186i
\(628\) −22.1530 + 33.7224i −0.884000 + 1.34567i
\(629\) −4.12530 1.34039i −0.164486 0.0534449i
\(630\) −6.99355 + 0.475594i −0.278630 + 0.0189481i
\(631\) 24.0978 7.82984i 0.959317 0.311701i 0.212821 0.977091i \(-0.431735\pi\)
0.746496 + 0.665390i \(0.231735\pi\)
\(632\) 17.1238 40.4339i 0.681149 1.60837i
\(633\) 39.0659 + 7.81132i 1.55273 + 0.310472i
\(634\) 11.4340 11.9856i 0.454103 0.476007i
\(635\) −1.12897 3.89711i −0.0448016 0.154652i
\(636\) 6.37798 42.1269i 0.252903 1.67044i
\(637\) 24.7679 + 17.9950i 0.981342 + 0.712986i
\(638\) −15.0041 + 15.7279i −0.594018 + 0.622672i
\(639\) −38.7993 16.1622i −1.53488 0.639368i
\(640\) −25.2907 0.618286i −0.999701 0.0244399i
\(641\) −8.54730 + 11.7644i −0.337598 + 0.464664i −0.943738 0.330694i \(-0.892717\pi\)
0.606140 + 0.795358i \(0.292717\pi\)
\(642\) 5.16429 15.0338i 0.203818 0.593336i
\(643\) 5.27318i 0.207954i −0.994580 0.103977i \(-0.966843\pi\)
0.994580 0.103977i \(-0.0331568\pi\)
\(644\) 1.84978 0.0871741i 0.0728914 0.00343514i
\(645\) 3.67840 + 8.72983i 0.144837 + 0.343737i
\(646\) 6.42361 13.3766i 0.252734 0.526295i
\(647\) −0.604880 + 1.86163i −0.0237803 + 0.0731882i −0.962242 0.272194i \(-0.912251\pi\)
0.938462 + 0.345382i \(0.112251\pi\)
\(648\) 6.23677 24.6800i 0.245003 0.969522i
\(649\) 9.90956 0.388984
\(650\) −22.7298 24.6658i −0.891538 0.967472i
\(651\) 7.96538 + 4.47130i 0.312188 + 0.175244i
\(652\) 1.00383 + 2.65681i 0.0393129 + 0.104049i
\(653\) 34.1296 + 11.0894i 1.33559 + 0.433961i 0.887822 0.460186i \(-0.152217\pi\)
0.447773 + 0.894147i \(0.352217\pi\)
\(654\) −16.7255 + 11.7295i −0.654020 + 0.458661i
\(655\) 1.27680 39.6573i 0.0498889 1.54954i
\(656\) −6.78610 1.51733i −0.264953 0.0592416i
\(657\) 8.36613 + 13.7138i 0.326394 + 0.535027i
\(658\) 10.4397 1.90645i 0.406980 0.0743211i
\(659\) −9.38919 6.82165i −0.365751 0.265734i 0.389696 0.920944i \(-0.372580\pi\)
−0.755447 + 0.655210i \(0.772580\pi\)
\(660\) −6.73677 14.0943i −0.262229 0.548620i
\(661\) 16.9242 12.2962i 0.658276 0.478266i −0.207804 0.978170i \(-0.566632\pi\)
0.866080 + 0.499905i \(0.166632\pi\)
\(662\) 11.0047 11.5355i 0.427709 0.448340i
\(663\) −26.3280 + 12.1055i −1.02250 + 0.470137i
\(664\) −7.89159 + 1.82877i −0.306253 + 0.0709702i
\(665\) 0.158171 4.91276i 0.00613361 0.190509i
\(666\) 1.10847 5.09864i 0.0429524 0.197568i
\(667\) −9.08301 + 2.95125i −0.351696 + 0.114273i
\(668\) 22.8609 + 6.25481i 0.884513 + 0.242006i
\(669\) −32.0964 6.41777i −1.24092 0.248125i
\(670\) 26.2224 13.0769i 1.01306 0.505205i
\(671\) 3.92523 12.0806i 0.151532 0.466367i
\(672\) 0.560216 + 7.21789i 0.0216108 + 0.278436i
\(673\) 17.4290 12.6629i 0.671839 0.488120i −0.198801 0.980040i \(-0.563705\pi\)
0.870640 + 0.491920i \(0.163705\pi\)
\(674\) −48.2211 6.47769i −1.85741 0.249511i
\(675\) −0.729996 + 25.9705i −0.0280976 + 0.999605i
\(676\) 18.3282 + 5.01467i 0.704932 + 0.192872i
\(677\) 10.8376 + 14.9166i 0.416522 + 0.573293i 0.964794 0.263007i \(-0.0847141\pi\)
−0.548272 + 0.836300i \(0.684714\pi\)
\(678\) −5.42818 7.74024i −0.208468 0.297262i
\(679\) −6.05681 1.96798i −0.232439 0.0755240i
\(680\) 2.63995 22.1498i 0.101237 0.849406i
\(681\) 7.61374 38.0777i 0.291759 1.45914i
\(682\) −2.71026 + 20.1757i −0.103781 + 0.772566i
\(683\) −7.98951 24.5892i −0.305710 0.940879i −0.979411 0.201875i \(-0.935296\pi\)
0.673701 0.739004i \(-0.264704\pi\)
\(684\) 16.7824 + 6.08060i 0.641691 + 0.232498i
\(685\) −8.67475 + 5.88561i −0.331445 + 0.224877i
\(686\) 6.67569 + 12.3727i 0.254879 + 0.472392i
\(687\) 14.8237 + 32.2399i 0.565559 + 1.23003i
\(688\) 8.97940 3.88505i 0.342336 0.148116i
\(689\) −34.2933 47.2007i −1.30647 1.79820i
\(690\) 0.335560 6.85540i 0.0127746 0.260981i
\(691\) 4.33841 5.97131i 0.165041 0.227159i −0.718484 0.695544i \(-0.755164\pi\)
0.883525 + 0.468384i \(0.155164\pi\)
\(692\) −1.07198 + 0.0505192i −0.0407507 + 0.00192045i
\(693\) −3.81633 + 2.32816i −0.144970 + 0.0884395i
\(694\) −0.868116 4.75378i −0.0329532 0.180451i
\(695\) −13.1962 45.5524i −0.500561 1.72790i
\(696\) −12.6106 35.1427i −0.478002 1.33208i
\(697\) 1.89469 5.83126i 0.0717666 0.220875i
\(698\) −10.9547 + 5.91063i −0.414643 + 0.223721i
\(699\) 4.92734 8.77778i 0.186369 0.332006i
\(700\) −2.16154 7.06564i −0.0816986 0.267056i
\(701\) 28.4071i 1.07292i 0.843925 + 0.536462i \(0.180239\pi\)
−0.843925 + 0.536462i \(0.819761\pi\)
\(702\) −17.6533 30.0568i −0.666282 1.13442i
\(703\) 3.47968 + 1.13062i 0.131239 + 0.0426420i
\(704\) −14.4894 + 7.09655i −0.546088 + 0.267461i
\(705\) −3.32460 39.1927i −0.125212 1.47608i
\(706\) −9.01302 + 1.64592i −0.339210 + 0.0619451i
\(707\) 13.0313 0.490093
\(708\) −7.62392 + 15.2186i −0.286525 + 0.571948i
\(709\) −15.0277 10.9183i −0.564378 0.410044i 0.268681 0.963229i \(-0.413412\pi\)
−0.833058 + 0.553185i \(0.813412\pi\)
\(710\) 7.30852 43.6976i 0.274284 1.63994i
\(711\) −17.9092 + 42.9931i −0.671647 + 1.61237i
\(712\) −30.3766 + 18.2862i −1.13841 + 0.685304i
\(713\) −5.25724 + 7.23597i −0.196885 + 0.270989i
\(714\) −6.38258 0.106755i −0.238862 0.00399519i
\(715\) −20.1210 7.26147i −0.752481 0.271564i
\(716\) −9.01150 11.2489i −0.336776 0.420392i
\(717\) −4.13638 + 20.6868i −0.154476 + 0.772562i
\(718\) 27.9242 + 3.75114i 1.04212 + 0.139991i
\(719\) 3.98890 + 12.2766i 0.148761 + 0.457839i 0.997475 0.0710123i \(-0.0226230\pi\)
−0.848715 + 0.528851i \(0.822623\pi\)
\(720\) 26.8282 + 0.497494i 0.999828 + 0.0185405i
\(721\) −1.25253 + 3.85490i −0.0466468 + 0.143564i
\(722\) 6.21339 12.9388i 0.231238 0.481533i
\(723\) −19.6308 + 2.30355i −0.730078 + 0.0856699i
\(724\) −21.1115 5.77616i −0.784601 0.214669i
\(725\) 20.3691 + 32.2059i 0.756489 + 1.19610i
\(726\) 13.5697 + 10.2100i 0.503618 + 0.378928i
\(727\) 24.2110 + 33.3236i 0.897936 + 1.23590i 0.971122 + 0.238584i \(0.0766832\pi\)
−0.0731863 + 0.997318i \(0.523317\pi\)
\(728\) 7.48712 + 6.49762i 0.277491 + 0.240818i
\(729\) −6.46051 + 26.2157i −0.239278 + 0.970951i
\(730\) −12.0766 + 11.8697i −0.446975 + 0.439318i
\(731\) 2.66584 + 8.20460i 0.0985996 + 0.303458i
\(732\) 15.5329 + 15.3224i 0.574112 + 0.566332i
\(733\) −9.15431 28.1741i −0.338122 1.04063i −0.965164 0.261647i \(-0.915734\pi\)
0.627041 0.778986i \(-0.284266\pi\)
\(734\) −18.5676 + 19.4632i −0.685343 + 0.718402i
\(735\) 23.0350 9.70605i 0.849660 0.358013i
\(736\) −7.08322 0.278865i −0.261091 0.0102791i
\(737\) 10.9842 15.1185i 0.404608 0.556896i
\(738\) 7.20711 + 1.56687i 0.265298 + 0.0576772i
\(739\) 16.9992 + 23.3974i 0.625326 + 0.860688i 0.997727 0.0673842i \(-0.0214653\pi\)
−0.372401 + 0.928072i \(0.621465\pi\)
\(740\) 5.49937 0.0819862i 0.202161 0.00301387i
\(741\) 22.2076 10.2109i 0.815818 0.375108i
\(742\) −2.30887 12.6433i −0.0847612 0.464150i
\(743\) 5.79856 0.212729 0.106364 0.994327i \(-0.466079\pi\)
0.106364 + 0.994327i \(0.466079\pi\)
\(744\) −28.8995 19.6844i −1.05951 0.721666i
\(745\) 3.18400 8.82261i 0.116653 0.323235i
\(746\) −0.344764 + 0.717941i −0.0126227 + 0.0262857i
\(747\) 8.35870 1.98907i 0.305829 0.0727761i
\(748\) −5.02810 13.3078i −0.183845 0.486580i
\(749\) 4.79504i 0.175207i
\(750\) −26.8354 + 5.46441i −0.979891 + 0.199532i
\(751\) 16.7726i 0.612040i 0.952025 + 0.306020i \(0.0989974\pi\)
−0.952025 + 0.306020i \(0.901003\pi\)
\(752\) −40.4433 + 3.82042i −1.47482 + 0.139316i
\(753\) 31.3168 28.8909i 1.14125 1.05284i
\(754\) −46.0880 22.1320i −1.67843 0.806001i
\(755\) −1.45030 + 4.01867i −0.0527819 + 0.146254i
\(756\) −0.639363 7.65209i −0.0232534 0.278304i
\(757\) −2.93848 −0.106801 −0.0534005 0.998573i \(-0.517006\pi\)
−0.0534005 + 0.998573i \(0.517006\pi\)
\(758\) −21.0222 + 3.83899i −0.763561 + 0.139438i
\(759\) −1.82860 3.97701i −0.0663741 0.144356i
\(760\) −2.22679 + 18.6833i −0.0807742 + 0.677715i
\(761\) −25.3962 34.9549i −0.920611 1.26711i −0.963411 0.268029i \(-0.913628\pi\)
0.0427993 0.999084i \(-0.486372\pi\)
\(762\) 4.24944 1.30257i 0.153941 0.0471872i
\(763\) −3.62209 + 4.98538i −0.131128 + 0.180483i
\(764\) −14.6403 + 5.53157i −0.529667 + 0.200125i
\(765\) −2.66141 + 23.5095i −0.0962234 + 0.849989i
\(766\) −8.35630 7.97177i −0.301925 0.288032i
\(767\) 7.20258 + 22.1672i 0.260070 + 0.800413i
\(768\) 0.248910 27.7117i 0.00898178 0.999960i
\(769\) 9.36897 + 28.8347i 0.337854 + 1.03981i 0.965299 + 0.261147i \(0.0841006\pi\)
−0.627445 + 0.778661i \(0.715899\pi\)
\(770\) −3.30315 3.36072i −0.119037 0.121112i
\(771\) −2.80285 3.03820i −0.100942 0.109418i
\(772\) 2.01302 3.06431i 0.0724500 0.110287i
\(773\) 2.56875 + 3.53558i 0.0923916 + 0.127166i 0.852710 0.522384i \(-0.174957\pi\)
−0.760319 + 0.649550i \(0.774957\pi\)
\(774\) −9.49961 + 4.17685i