Properties

Label 300.2.n.a.11.13
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 11.13
Character \(\chi\) \(=\) 300.11
Dual form 300.2.n.a.191.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.02327 + 0.976179i) q^{2} +(0.339606 + 1.69843i) q^{3} +(0.0941493 - 1.99778i) q^{4} +(2.10329 + 0.759058i) q^{5} +(-2.00548 - 1.40643i) q^{6} +0.738888i q^{7} +(1.85385 + 2.13617i) q^{8} +(-2.76934 + 1.15359i) q^{9} +O(q^{10})\) \(q+(-1.02327 + 0.976179i) q^{2} +(0.339606 + 1.69843i) q^{3} +(0.0941493 - 1.99778i) q^{4} +(2.10329 + 0.759058i) q^{5} +(-2.00548 - 1.40643i) q^{6} +0.738888i q^{7} +(1.85385 + 2.13617i) q^{8} +(-2.76934 + 1.15359i) q^{9} +(-2.89320 + 1.27647i) q^{10} +(1.63157 - 1.18541i) q^{11} +(3.42507 - 0.518553i) q^{12} +(3.83758 + 2.78817i) q^{13} +(-0.721287 - 0.756079i) q^{14} +(-0.574919 + 3.83007i) q^{15} +(-3.98227 - 0.376180i) q^{16} +(-3.35436 + 1.08990i) q^{17} +(1.70765 - 3.88380i) q^{18} +(2.82939 - 0.919326i) q^{19} +(1.71446 - 4.13045i) q^{20} +(-1.25495 + 0.250931i) q^{21} +(-0.512365 + 2.80570i) 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} +(-2.89978 - 4.31176i) q^{27} +(1.47614 + 0.0695658i) q^{28} +(-7.24833 - 2.35512i) q^{29} +(-3.15054 - 4.48041i) q^{30} +(-6.78818 + 2.20561i) q^{31} +(4.44214 - 3.50248i) q^{32} +(2.56743 + 2.36854i) q^{33} +(2.36847 - 4.38971i) q^{34} +(-0.560859 + 1.55410i) q^{35} +(2.04390 + 5.64114i) q^{36} +(-0.994956 - 0.722878i) q^{37} +(-1.99780 + 3.70271i) q^{38} +(-3.43225 + 7.46475i) q^{39} +(2.27771 + 5.90017i) q^{40} +(-1.02181 + 1.40641i) q^{41} +(1.03920 - 1.48183i) q^{42} -2.44596i q^{43} +(-2.21458 - 3.37114i) q^{44} +(-6.70036 + 0.324255i) q^{45} +(0.318363 - 1.74335i) q^{46} +(3.13833 - 9.65878i) q^{47} +(-0.713488 - 6.89137i) q^{48} +6.45404 q^{49} +(-7.05416 + 0.488673i) q^{50} +(-2.99027 - 5.32701i) q^{51} +(5.93146 - 7.40416i) q^{52} +(11.6976 + 3.80078i) q^{53} +(7.17630 + 1.58137i) q^{54} +(4.33147 - 1.25480i) q^{55} +(-1.57839 + 1.36979i) q^{56} +(2.52229 + 4.49332i) q^{57} +(9.71600 - 4.66575i) q^{58} +(3.97523 + 2.88818i) q^{59} +(7.59753 + 1.50916i) q^{60} +(5.09556 - 3.70214i) q^{61} +(4.79305 - 8.88341i) q^{62} +(-0.852377 - 2.04623i) q^{63} +(-1.12645 + 7.92030i) q^{64} +(5.95517 + 8.77728i) q^{65} +(-4.93928 + 0.0826142i) q^{66} +(-8.81266 + 2.86341i) q^{67} +(1.86157 + 6.80389i) q^{68} +(-1.59529 - 1.47172i) q^{69} +(-0.943167 - 2.13775i) q^{70} +(4.32943 - 13.3246i) q^{71} +(-7.59822 - 3.77718i) q^{72} +(-4.33209 + 3.14745i) q^{73} +(1.72376 - 0.231558i) q^{74} +(-4.11647 + 7.61936i) q^{75} +(-1.57023 - 5.73907i) q^{76} +(0.875884 + 1.20555i) q^{77} +(-3.77483 - 10.9889i) q^{78} +(14.7649 + 4.79739i) q^{79} +(-8.09033 - 3.81399i) q^{80} +(6.33844 - 6.38938i) q^{81} +(-0.327316 - 2.43660i) q^{82} +(0.885035 + 2.72386i) q^{83} +(0.383152 + 2.53074i) q^{84} +(-7.88248 - 0.253784i) q^{85} +(2.38769 + 2.50286i) q^{86} +(1.53844 - 13.1106i) q^{87} +(5.55693 + 1.28775i) q^{88} +(-7.36821 - 10.1415i) q^{89} +(6.53973 - 6.87255i) q^{90} +(-2.06014 + 2.83555i) q^{91} +(1.37605 + 2.09469i) q^{92} +(-6.05139 - 10.7802i) q^{93} +(6.21735 + 12.9471i) q^{94} +(6.64886 + 0.214066i) q^{95} +(7.45730 + 6.35521i) q^{96} +(2.66343 - 8.19720i) q^{97} +(-6.60421 + 6.30030i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.02327 + 0.976179i −0.723559 + 0.690263i
\(3\) 0.339606 + 1.69843i 0.196071 + 0.980590i
\(4\) 0.0941493 1.99778i 0.0470746 0.998891i
\(5\) 2.10329 + 0.759058i 0.940620 + 0.339461i
\(6\) −2.00548 1.40643i −0.818734 0.574173i
\(7\) 0.738888i 0.279273i 0.990203 + 0.139637i \(0.0445935\pi\)
−0.990203 + 0.139637i \(0.955407\pi\)
\(8\) 1.85385 + 2.13617i 0.655436 + 0.755250i
\(9\) −2.76934 + 1.15359i −0.923112 + 0.384531i
\(10\) −2.89320 + 1.27647i −0.914911 + 0.403655i
\(11\) 1.63157 1.18541i 0.491938 0.357414i −0.313991 0.949426i \(-0.601666\pi\)
0.805929 + 0.592012i \(0.201666\pi\)
\(12\) 3.42507 0.518553i 0.988732 0.149693i
\(13\) 3.83758 + 2.78817i 1.06435 + 0.773299i 0.974889 0.222691i \(-0.0714842\pi\)
0.0894654 + 0.995990i \(0.471484\pi\)
\(14\) −0.721287 0.756079i −0.192772 0.202071i
\(15\) −0.574919 + 3.83007i −0.148443 + 0.988921i
\(16\) −3.98227 0.376180i −0.995568 0.0940449i
\(17\) −3.35436 + 1.08990i −0.813551 + 0.264339i −0.686101 0.727506i \(-0.740679\pi\)
−0.127450 + 0.991845i \(0.540679\pi\)
\(18\) 1.70765 3.88380i 0.402498 0.915421i
\(19\) 2.82939 0.919326i 0.649108 0.210908i 0.0340869 0.999419i \(-0.489148\pi\)
0.615021 + 0.788511i \(0.289148\pi\)
\(20\) 1.71446 4.13045i 0.383364 0.923597i
\(21\) −1.25495 + 0.250931i −0.273853 + 0.0547576i
\(22\) −0.512365 + 2.80570i −0.109237 + 0.598177i
\(23\) −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
\(27\) −2.89978 4.31176i −0.558063 0.829798i
\(28\) 1.47614 + 0.0695658i 0.278964 + 0.0131467i
\(29\) −7.24833 2.35512i −1.34598 0.437336i −0.454642 0.890674i \(-0.650233\pi\)
−0.891339 + 0.453338i \(0.850233\pi\)
\(30\) −3.15054 4.48041i −0.575208 0.818007i
\(31\) −6.78818 + 2.20561i −1.21919 + 0.396140i −0.846788 0.531930i \(-0.821467\pi\)
−0.372405 + 0.928070i \(0.621467\pi\)
\(32\) 4.44214 3.50248i 0.785268 0.619156i
\(33\) 2.56743 + 2.36854i 0.446931 + 0.412311i
\(34\) 2.36847 4.38971i 0.406189 0.752828i
\(35\) −0.560859 + 1.55410i −0.0948025 + 0.262690i
\(36\) 2.04390 + 5.64114i 0.340650 + 0.940190i
\(37\) −0.994956 0.722878i −0.163570 0.118840i 0.502989 0.864293i \(-0.332234\pi\)
−0.666559 + 0.745452i \(0.732234\pi\)
\(38\) −1.99780 + 3.70271i −0.324086 + 0.600659i
\(39\) −3.43225 + 7.46475i −0.549599 + 1.19532i
\(40\) 2.27771 + 5.90017i 0.360138 + 0.932899i
\(41\) −1.02181 + 1.40641i −0.159581 + 0.219644i −0.881319 0.472522i \(-0.843344\pi\)
0.721738 + 0.692166i \(0.243344\pi\)
\(42\) 1.03920 1.48183i 0.160351 0.228651i
\(43\) 2.44596i 0.373005i −0.982455 0.186502i \(-0.940285\pi\)
0.982455 0.186502i \(-0.0597152\pi\)
\(44\) −2.21458 3.37114i −0.333860 0.508218i
\(45\) −6.70036 + 0.324255i −0.998831 + 0.0483371i
\(46\) 0.318363 1.74335i 0.0469400 0.257042i
\(47\) 3.13833 9.65878i 0.457772 1.40888i −0.410077 0.912051i \(-0.634498\pi\)
0.867849 0.496827i \(-0.165502\pi\)
\(48\) −0.713488 6.89137i −0.102983 0.994683i
\(49\) 6.45404 0.922006
\(50\) −7.05416 + 0.488673i −0.997609 + 0.0691088i
\(51\) −2.99027 5.32701i −0.418722 0.745930i
\(52\) 5.93146 7.40416i 0.822546 1.02677i
\(53\) 11.6976 + 3.80078i 1.60679 + 0.522077i 0.968773 0.247948i \(-0.0797562\pi\)
0.638014 + 0.770025i \(0.279756\pi\)
\(54\) 7.17630 + 1.58137i 0.976571 + 0.215198i
\(55\) 4.33147 1.25480i 0.584055 0.169197i
\(56\) −1.57839 + 1.36979i −0.210921 + 0.183046i
\(57\) 2.52229 + 4.49332i 0.334086 + 0.595155i
\(58\) 9.71600 4.66575i 1.27577 0.612642i
\(59\) 3.97523 + 2.88818i 0.517531 + 0.376009i 0.815673 0.578513i \(-0.196367\pi\)
−0.298142 + 0.954522i \(0.596367\pi\)
\(60\) 7.59753 + 1.50916i 0.980837 + 0.194832i
\(61\) 5.09556 3.70214i 0.652419 0.474010i −0.211675 0.977340i \(-0.567892\pi\)
0.864094 + 0.503330i \(0.167892\pi\)
\(62\) 4.79305 8.88341i 0.608718 1.12819i
\(63\) −0.852377 2.04623i −0.107389 0.257801i
\(64\) −1.12645 + 7.92030i −0.140807 + 0.990037i
\(65\) 5.95517 + 8.77728i 0.738648 + 1.08869i
\(66\) −4.93928 + 0.0826142i −0.607984 + 0.0101691i
\(67\) −8.81266 + 2.86341i −1.07664 + 0.349821i −0.793070 0.609131i \(-0.791518\pi\)
−0.283569 + 0.958952i \(0.591518\pi\)
\(68\) 1.86157 + 6.80389i 0.225748 + 0.825092i
\(69\) −1.59529 1.47172i −0.192051 0.177174i
\(70\) −0.943167 2.13775i −0.112730 0.255510i
\(71\) 4.32943 13.3246i 0.513808 1.58134i −0.271631 0.962401i \(-0.587563\pi\)
0.785440 0.618938i \(-0.212437\pi\)
\(72\) −7.59822 3.77718i −0.895459 0.445145i
\(73\) −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
\(75\) −4.11647 + 7.61936i −0.475329 + 0.879808i
\(76\) −1.57023 5.73907i −0.180118 0.658316i
\(77\) 0.875884 + 1.20555i 0.0998162 + 0.137385i
\(78\) −3.77483 10.9889i −0.427415 1.24425i
\(79\) 14.7649 + 4.79739i 1.66118 + 0.539749i 0.981118 0.193410i \(-0.0619546\pi\)
0.680058 + 0.733158i \(0.261955\pi\)
\(80\) −8.09033 3.81399i −0.904527 0.426417i
\(81\) 6.33844 6.38938i 0.704271 0.709931i
\(82\) −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 \(0.849758\pi\)
\(84\) 0.383152 + 2.53074i 0.0418053 + 0.276127i
\(85\) −7.88248 0.253784i −0.854975 0.0275267i
\(86\) 2.38769 + 2.50286i 0.257471 + 0.269891i
\(87\) 1.53844 13.1106i 0.164938 1.40560i
\(88\) 5.55693 + 1.28775i 0.592371 + 0.137274i
\(89\) −7.36821 10.1415i −0.781029 1.07499i −0.995168 0.0981907i \(-0.968694\pi\)
0.214139 0.976803i \(-0.431306\pi\)
\(90\) 6.53973 6.87255i 0.689348 0.724431i
\(91\) −2.06014 + 2.83555i −0.215962 + 0.297246i
\(92\) 1.37605 + 2.09469i 0.143463 + 0.218386i
\(93\) −6.05139 10.7802i −0.627500 1.11786i
\(94\) 6.21735 + 12.9471i 0.641271 + 1.33539i
\(95\) 6.64886 + 0.214066i 0.682159 + 0.0219627i
\(96\) 7.45730 + 6.35521i 0.761107 + 0.648626i
\(97\) 2.66343 8.19720i 0.270430 0.832299i −0.719962 0.694013i \(-0.755841\pi\)
0.990392 0.138286i \(-0.0441592\pi\)
\(98\) −6.60421 + 6.30030i −0.667126 + 0.636427i
\(99\) −3.15090 + 5.16497i −0.316677 + 0.519099i
\(100\) 6.74126 7.38617i 0.674126 0.738617i
\(101\) 17.6364i 1.75489i −0.479681 0.877443i \(-0.659247\pi\)
0.479681 0.877443i \(-0.340753\pi\)
\(102\) 8.25996 + 2.53191i 0.817858 + 0.250696i
\(103\) 5.21717 + 1.69516i 0.514063 + 0.167029i 0.554549 0.832151i \(-0.312891\pi\)
−0.0404864 + 0.999180i \(0.512891\pi\)
\(104\) 1.15832 + 13.3666i 0.113582 + 1.31070i
\(105\) −2.83000 0.424801i −0.276179 0.0414563i
\(106\) −15.6800 + 7.52973i −1.52298 + 0.731352i
\(107\) 6.48954 0.627367 0.313684 0.949528i \(-0.398437\pi\)
0.313684 + 0.949528i \(0.398437\pi\)
\(108\) −8.88697 + 5.38719i −0.855149 + 0.518382i
\(109\) −6.74713 4.90208i −0.646258 0.469534i 0.215736 0.976452i \(-0.430785\pi\)
−0.861994 + 0.506918i \(0.830785\pi\)
\(110\) −3.20734 + 5.51228i −0.305808 + 0.525575i
\(111\) 0.889865 1.93536i 0.0844623 0.183696i
\(112\) 0.277955 2.94245i 0.0262642 0.278036i
\(113\) −2.26858 + 3.12244i −0.213410 + 0.293734i −0.902280 0.431152i \(-0.858107\pi\)
0.688869 + 0.724886i \(0.258107\pi\)
\(114\) −6.96726 2.13566i −0.652544 0.200023i
\(115\) −2.69140 + 0.779680i −0.250974 + 0.0727055i
\(116\) −5.38745 + 14.2589i −0.500212 + 1.32390i
\(117\) −13.8440 3.29436i −1.27988 0.304564i
\(118\) −6.88710 + 0.925165i −0.634009 + 0.0851684i
\(119\) −0.805311 2.47849i −0.0738228 0.227203i
\(120\) −9.24751 + 5.87227i −0.844178 + 0.536063i
\(121\) −2.14234 + 6.59346i −0.194759 + 0.599405i
\(122\) −1.60016 + 8.76245i −0.144872 + 0.793315i
\(123\) −2.73570 1.25786i −0.246670 0.113417i
\(124\) 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 0.759071 0.651008i \(-0.225653\pi\)
−0.853711 + 0.520747i \(0.825653\pi\)
\(128\) −6.57897 9.20420i −0.581504 0.813544i
\(129\) 4.15429 0.830661i 0.365765 0.0731356i
\(130\) −14.6619 3.16818i −1.28594 0.277868i
\(131\) 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
\(134\) 6.22251 11.5328i 0.537543 0.996279i
\(135\) −2.82621 11.2700i −0.243241 0.969966i
\(136\) −8.54669 5.14497i −0.732872 0.441177i
\(137\) −2.75560 + 3.79276i −0.235427 + 0.324037i −0.910341 0.413859i \(-0.864181\pi\)
0.674914 + 0.737896i \(0.264181\pi\)
\(138\) 3.06907 0.0513331i 0.261257 0.00436976i
\(139\) −12.4665 17.1586i −1.05739 1.45538i −0.882219 0.470840i \(-0.843951\pi\)
−0.175175 0.984537i \(-0.556049\pi\)
\(140\) 3.05194 + 1.26679i 0.257936 + 0.107063i
\(141\) 17.4706 + 2.05006i 1.47129 + 0.172646i
\(142\) 8.57704 + 17.8609i 0.719769 + 1.49886i
\(143\) 9.56642 0.799984
\(144\) 11.4622 3.55216i 0.955184 0.296013i
\(145\) −13.4577 10.4554i −1.11760 0.868275i
\(146\) 1.36041 7.44957i 0.112588 0.616531i
\(147\) 2.19183 + 10.9617i 0.180779 + 0.904110i
\(148\) −1.53783 + 1.91965i −0.126409 + 0.157794i
\(149\) 4.19467i 0.343641i −0.985128 0.171820i \(-0.945035\pi\)
0.985128 0.171820i \(-0.0549649\pi\)
\(150\) −3.22561 11.8151i −0.263370 0.964695i
\(151\) 1.91066i 0.155487i 0.996973 + 0.0777437i \(0.0247716\pi\)
−0.996973 + 0.0777437i \(0.975228\pi\)
\(152\) 7.20912 + 4.33977i 0.584737 + 0.352002i
\(153\) 8.03204 6.88785i 0.649352 0.556850i
\(154\) −2.07310 0.378580i −0.167055 0.0305069i
\(155\) −15.9517 0.513581i −1.28127 0.0412518i
\(156\) 14.5898 + 7.55968i 1.16812 + 0.605259i
\(157\) −20.1739 −1.61006 −0.805028 0.593237i \(-0.797850\pi\)
−0.805028 + 0.593237i \(0.797850\pi\)
\(158\) −19.7915 + 9.50413i −1.57453 + 0.756108i
\(159\) −2.48279 + 21.1583i −0.196898 + 1.67796i
\(160\) 12.0017 3.99488i 0.948818 0.315823i
\(161\) −0.544239 0.749080i −0.0428920 0.0590358i
\(162\) −0.248739 + 12.7255i −0.0195428 + 0.999809i
\(163\) 0.834692 1.14885i 0.0653781 0.0899853i −0.775076 0.631868i \(-0.782288\pi\)
0.840454 + 0.541883i \(0.182288\pi\)
\(164\) 2.71349 + 2.17378i 0.211888 + 0.169743i
\(165\) 3.60218 + 6.93056i 0.280429 + 0.539544i
\(166\) −3.56460 1.92328i −0.276667 0.149276i
\(167\) 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
\(170\) 8.31361 7.43502i 0.637625 0.570240i
\(171\) −6.77501 + 5.80989i −0.518098 + 0.444294i
\(172\) −4.88649 0.230285i −0.372591 0.0175591i
\(173\) 0.315397 + 0.434107i 0.0239792 + 0.0330046i 0.820838 0.571161i \(-0.193507\pi\)
−0.796859 + 0.604165i \(0.793507\pi\)
\(174\) 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
\(177\) −3.55536 + 7.73250i −0.267237 + 0.581211i
\(178\) 17.4395 + 3.18474i 1.30715 + 0.238706i
\(179\) 2.22699 6.85397i 0.166453 0.512290i −0.832687 0.553743i \(-0.813199\pi\)
0.999140 + 0.0414537i \(0.0131989\pi\)
\(180\) 0.0169574 + 13.4164i 0.00126393 + 0.999999i
\(181\) −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
\(183\) 8.01831 + 7.39718i 0.592730 + 0.546815i
\(184\) −3.45285 0.800155i −0.254548 0.0589882i
\(185\) −1.54397 2.27565i −0.113515 0.167309i
\(186\) 16.7156 + 5.12380i 1.22565 + 0.375695i
\(187\) −4.18091 + 5.75453i −0.305738 + 0.420813i
\(188\) −19.0007 7.17907i −1.38577 0.523587i
\(189\) 3.18591 2.14261i 0.231741 0.155852i
\(190\) −7.01252 + 6.27143i −0.508742 + 0.454977i
\(191\) −6.33074 4.59955i −0.458076 0.332812i 0.334700 0.942325i \(-0.391365\pi\)
−0.792776 + 0.609513i \(0.791365\pi\)
\(192\) −13.8346 + 0.776576i −0.998428 + 0.0560446i
\(193\) 1.83318 0.131955 0.0659777 0.997821i \(-0.478983\pi\)
0.0659777 + 0.997821i \(0.478983\pi\)
\(194\) 5.27653 + 10.9879i 0.378833 + 0.788885i
\(195\) −12.8852 + 13.0953i −0.922728 + 0.937771i
\(196\) 0.607644 12.8938i 0.0434031 0.920984i
\(197\) 10.0262 + 3.25772i 0.714340 + 0.232103i 0.643567 0.765389i \(-0.277454\pi\)
0.0707724 + 0.997492i \(0.477454\pi\)
\(198\) −1.81772 8.36098i −0.129180 0.594189i
\(199\) 19.8686i 1.40845i −0.709978 0.704223i \(-0.751295\pi\)
0.709978 0.704223i \(-0.248705\pi\)
\(200\) 0.312118 + 14.1387i 0.0220701 + 0.999756i
\(201\) −7.85613 13.9953i −0.554129 0.987150i
\(202\) 17.2163 + 18.0467i 1.21133 + 1.26976i
\(203\) 1.74017 5.35570i 0.122136 0.375897i
\(204\) −10.9237 + 5.47238i −0.764814 + 0.383143i
\(205\) −3.21672 + 2.18247i −0.224665 + 0.152430i
\(206\) −6.99333 + 3.35829i −0.487249 + 0.233983i
\(207\) 1.95784 3.20930i 0.136079 0.223062i
\(208\) −14.2335 12.5469i −0.986912 0.869969i
\(209\) 3.52659 4.85393i 0.243939 0.335754i
\(210\) 3.31052 2.32790i 0.228448 0.160640i
\(211\) 13.5197 + 18.6083i 0.930737 + 1.28105i 0.959571 + 0.281465i \(0.0908205\pi\)
−0.0288343 + 0.999584i \(0.509180\pi\)
\(212\) 8.69445 23.0114i 0.597137 1.58043i
\(213\) 24.1012 + 2.82812i 1.65139 + 0.193780i
\(214\) −6.64053 + 6.33495i −0.453937 + 0.433048i
\(215\) 1.85662 5.14456i 0.126621 0.350856i
\(216\) 3.83488 14.1878i 0.260931 0.965358i
\(217\) −1.62970 5.01571i −0.110631 0.340488i
\(218\) 11.6894 1.57028i 0.791708 0.106352i
\(219\) −6.81692 6.28886i −0.460645 0.424962i
\(220\) −2.09901 8.77147i −0.141515 0.591372i
\(221\) −15.9114 5.16994i −1.07032 0.347768i
\(222\) 0.978686 + 2.84905i 0.0656851 + 0.191216i
\(223\) −11.1078 15.2886i −0.743833 1.02380i −0.998389 0.0567398i \(-0.981929\pi\)
0.254556 0.967058i \(-0.418071\pi\)
\(224\) 2.58794 + 3.28225i 0.172914 + 0.219304i
\(225\) −14.3389 4.40396i −0.955929 0.293598i
\(226\) −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 \(0.567080\pi\)
\(228\) 9.21415 4.61594i 0.610222 0.305698i
\(229\) 6.33083 19.4843i 0.418353 1.28756i −0.490864 0.871236i \(-0.663319\pi\)
0.909217 0.416322i \(-0.136681\pi\)
\(230\) 1.99291 3.42511i 0.131409 0.225845i
\(231\) −1.75009 + 1.89704i −0.115147 + 0.124816i
\(232\) −8.40639 19.8497i −0.551907 1.30320i
\(233\) 5.52727 1.79592i 0.362104 0.117655i −0.122314 0.992491i \(-0.539032\pi\)
0.484418 + 0.874837i \(0.339032\pi\)
\(234\) 17.3820 10.1432i 1.13629 0.663081i
\(235\) 13.9324 17.9330i 0.908849 1.16982i
\(236\) 6.14422 7.66974i 0.399954 0.499257i
\(237\) −3.13381 + 26.7063i −0.203563 + 1.73476i
\(238\) 3.24350 + 1.75003i 0.210245 + 0.113438i
\(239\) 9.85377 7.15919i 0.637388 0.463089i −0.221564 0.975146i \(-0.571116\pi\)
0.858952 + 0.512057i \(0.171116\pi\)
\(240\) 3.73028 15.0361i 0.240788 0.970578i
\(241\) 9.23220 + 6.70758i 0.594698 + 0.432074i 0.843993 0.536354i \(-0.180199\pi\)
−0.249295 + 0.968428i \(0.580199\pi\)
\(242\) −4.24421 8.83818i −0.272828 0.568140i
\(243\) 13.0045 + 8.59554i 0.834238 + 0.551404i
\(244\) −6.91632 10.5284i −0.442772 0.674010i
\(245\) 13.5747 + 4.89900i 0.867258 + 0.312985i
\(246\) 4.02725 1.38341i 0.256768 0.0882029i
\(247\) 13.4213 + 4.36084i 0.853975 + 0.277473i
\(248\) −17.2959 10.4118i −1.09829 0.661152i
\(249\) −4.32572 + 2.42821i −0.274132 + 0.153882i
\(250\) −15.2079 4.32670i −0.961831 0.273645i
\(251\) −24.5997 −1.55272 −0.776358 0.630292i \(-0.782935\pi\)
−0.776358 + 0.630292i \(0.782935\pi\)
\(252\) −4.16817 + 1.51021i −0.262570 + 0.0951345i
\(253\) −0.780951 + 2.40352i −0.0490979 + 0.151108i
\(254\) 2.52434 + 0.460985i 0.158391 + 0.0289248i
\(255\) −2.24590 13.4740i −0.140644 0.843777i
\(256\) 15.7170 + 2.99610i 0.982311 + 0.187256i
\(257\) 2.38653i 0.148868i −0.997226 0.0744339i \(-0.976285\pi\)
0.997226 0.0744339i \(-0.0237150\pi\)
\(258\) −3.44007 + 4.90532i −0.214169 + 0.305392i
\(259\) 0.534126 0.735161i 0.0331890 0.0456807i
\(260\) 18.0958 11.0708i 1.12225 0.686580i
\(261\) 22.7899 1.83950i 1.41066 0.113862i
\(262\) −22.0849 11.9159i −1.36441 0.736168i
\(263\) −12.4762 9.06451i −0.769318 0.558942i 0.132436 0.991191i \(-0.457720\pi\)
−0.901754 + 0.432250i \(0.857720\pi\)
\(264\) −0.299985 + 9.87540i −0.0184628 + 0.607789i
\(265\) 21.7184 + 16.8733i 1.33415 + 1.03652i
\(266\) −2.73589 1.47615i −0.167748 0.0905085i
\(267\) 14.7223 15.9585i 0.900990 0.976644i
\(268\) 4.89076 + 17.8754i 0.298751 + 1.09191i
\(269\) −21.7376 + 7.06297i −1.32536 + 0.430637i −0.884334 0.466855i \(-0.845387\pi\)
−0.441031 + 0.897492i \(0.645387\pi\)
\(270\) 13.8935 + 8.77332i 0.845531 + 0.533927i
\(271\) 16.1471 + 5.24650i 0.980865 + 0.318702i 0.755194 0.655501i \(-0.227543\pi\)
0.225671 + 0.974204i \(0.427543\pi\)
\(272\) 13.7680 3.07842i 0.834805 0.186657i
\(273\) −5.51562 2.53605i −0.333820 0.153488i
\(274\) −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 \(0.454947\pi\)
\(278\) 29.5064 + 5.38835i 1.76968 + 0.323172i
\(279\) 16.2544 13.9389i 0.973124 0.834500i
\(280\) −4.35957 + 1.68298i −0.260534 + 0.100577i
\(281\) −5.62578 + 1.82793i −0.335606 + 0.109045i −0.471972 0.881614i \(-0.656458\pi\)
0.136366 + 0.990659i \(0.456458\pi\)
\(282\) −19.8783 + 14.9566i −1.18373 + 0.890656i
\(283\) −29.2694 + 9.51022i −1.73989 + 0.565324i −0.994819 0.101664i \(-0.967583\pi\)
−0.745069 + 0.666988i \(0.767583\pi\)
\(284\) −26.2121 9.90376i −1.55540 0.587680i
\(285\) 1.89441 + 11.3653i 0.112215 + 0.673224i
\(286\) −9.78900 + 9.33854i −0.578836 + 0.552199i
\(287\) −1.03918 0.755007i −0.0613407 0.0445666i
\(288\) −8.26135 + 14.8240i −0.486805 + 0.873511i
\(289\) −3.68946 + 2.68055i −0.217027 + 0.157680i
\(290\) 23.9771 2.43841i 1.40799 0.143188i
\(291\) 14.8269 + 1.73984i 0.869168 + 0.101991i
\(292\) 5.88005 + 8.95090i 0.344104 + 0.523812i
\(293\) 12.0125i 0.701776i 0.936417 + 0.350888i \(0.114120\pi\)
−0.936417 + 0.350888i \(0.885880\pi\)
\(294\) −12.9435 9.07717i −0.754878 0.529391i
\(295\) 6.16878 + 9.09211i 0.359160 + 0.529363i
\(296\) −0.300312 3.46551i −0.0174553 0.201428i
\(297\) −9.84240 3.59753i −0.571114 0.208750i
\(298\) 4.09475 + 4.29227i 0.237202 + 0.248644i
\(299\) −5.94419 −0.343761
\(300\) 14.8343 + 8.94117i 0.856457 + 0.516219i
\(301\) 1.80729 0.104170
\(302\) −1.86515 1.95511i −0.107327 0.112504i
\(303\) 29.9542 5.98942i 1.72082 0.344083i
\(304\) −11.6132 + 2.59665i −0.666065 + 0.148928i
\(305\) 13.5276 3.91885i 0.774587 0.224392i
\(306\) −1.49514 + 14.8888i −0.0854715 + 0.851137i
\(307\) 24.1269i 1.37700i 0.725239 + 0.688498i \(0.241729\pi\)
−0.725239 + 0.688498i \(0.758271\pi\)
\(308\) 2.49089 1.63632i 0.141932 0.0932382i
\(309\) −1.10733 + 9.43668i −0.0629939 + 0.536834i
\(310\) 16.8242 15.0462i 0.955550 0.854566i
\(311\) 15.0379 10.9257i 0.852720 0.619537i −0.0731745 0.997319i \(-0.523313\pi\)
0.925895 + 0.377782i \(0.123313\pi\)
\(312\) −22.3089 + 6.50669i −1.26299 + 0.368369i
\(313\) −1.95261 1.41866i −0.110368 0.0801872i 0.531232 0.847226i \(-0.321729\pi\)
−0.641600 + 0.767039i \(0.721729\pi\)
\(314\) 20.6433 19.6934i 1.16497 1.11136i
\(315\) −0.239588 4.95082i −0.0134993 0.278947i
\(316\) 10.9742 29.0453i 0.617350 1.63393i
\(317\) 11.1398 3.61953i 0.625671 0.203293i 0.0210145 0.999779i \(-0.493310\pi\)
0.604657 + 0.796486i \(0.293310\pi\)
\(318\) −18.1137 24.0742i −1.01577 1.35002i
\(319\) −14.6180 + 4.74967i −0.818449 + 0.265930i
\(320\) −8.38123 + 15.8036i −0.468525 + 0.883450i
\(321\) 2.20388 + 11.0220i 0.123009 + 0.615190i
\(322\) 1.28814 + 0.235235i 0.0717851 + 0.0131091i
\(323\) −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
\(327\) 6.03448 13.1243i 0.333707 0.725776i
\(328\) −4.89862 + 0.424502i −0.270481 + 0.0234392i
\(329\) 7.13676 + 2.31887i 0.393462 + 0.127844i
\(330\) −10.4515 3.57544i −0.575334 0.196822i
\(331\) 10.7215 3.48361i 0.589305 0.191477i 0.000840117 1.00000i \(-0.499733\pi\)
0.588465 + 0.808523i \(0.299733\pi\)
\(332\) 5.52500 1.51166i 0.303224 0.0829631i
\(333\) 3.58927 + 0.854116i 0.196691 + 0.0468053i
\(334\) −14.7493 7.95798i −0.807045 0.435441i
\(335\) −20.7091 0.666749i −1.13146 0.0364284i
\(336\) 5.09195 0.527187i 0.277789 0.0287604i
\(337\) 27.8332 + 20.2220i 1.51617 + 1.10156i 0.963344 + 0.268269i \(0.0864517\pi\)
0.552829 + 0.833295i \(0.313548\pi\)
\(338\) −11.8249 6.38015i −0.643192 0.347034i
\(339\) −6.07367 2.79263i −0.329876 0.151675i
\(340\) −1.24913 + 15.7236i −0.0677438 + 0.852731i
\(341\) −8.46087 + 11.6454i −0.458182 + 0.630633i
\(342\) 1.26115 12.5587i 0.0681951 0.679097i
\(343\) 9.94103i 0.536765i
\(344\) 5.22498 4.53444i 0.281712 0.244481i
\(345\) −2.23825 4.30637i −0.120503 0.231847i
\(346\) −0.746502 0.136323i −0.0401322 0.00732878i
\(347\) −1.05592 + 3.24978i −0.0566846 + 0.174457i −0.975390 0.220486i \(-0.929236\pi\)
0.918706 + 0.394943i \(0.129236\pi\)
\(348\) −26.0473 4.30783i −1.39628 0.230924i
\(349\) 8.80176 0.471147 0.235574 0.971857i \(-0.424303\pi\)
0.235574 + 0.971857i \(0.424303\pi\)
\(350\) −0.361075 5.21224i −0.0193003 0.278606i
\(351\) 0.893749 24.6318i 0.0477048 1.31475i
\(352\) 3.09582 10.9803i 0.165008 0.585252i
\(353\) −6.16148 2.00199i −0.327943 0.106555i 0.140418 0.990092i \(-0.455155\pi\)
−0.468361 + 0.883537i \(0.655155\pi\)
\(354\) −3.91023 11.3831i −0.207826 0.605004i
\(355\) 19.2202 24.7392i 1.02010 1.31302i
\(356\) −20.9542 + 13.7653i −1.11057 + 0.729558i
\(357\) 3.93606 2.20948i 0.208318 0.116938i
\(358\) 4.41190 + 9.18738i 0.233176 + 0.485568i
\(359\) −16.1179 11.7103i −0.850668 0.618046i 0.0746622 0.997209i \(-0.476212\pi\)
−0.925330 + 0.379162i \(0.876212\pi\)
\(360\) −13.1142 13.7120i −0.691177 0.722686i
\(361\) −8.21101 + 5.96565i −0.432159 + 0.313982i
\(362\) 13.6206 + 7.34900i 0.715883 + 0.386255i
\(363\) −11.9261 1.39945i −0.625957 0.0734520i
\(364\) 5.47084 + 4.38269i 0.286750 + 0.229715i
\(365\) −11.5007 + 3.33169i −0.601976 + 0.174388i
\(366\) −15.4258 + 0.258012i −0.806322 + 0.0134865i
\(367\) −18.0898 + 5.87772i −0.944278 + 0.306814i −0.740388 0.672179i \(-0.765358\pi\)
−0.203890 + 0.978994i \(0.565358\pi\)
\(368\) 4.31428 2.55183i 0.224898 0.133023i
\(369\) 1.20733 5.07357i 0.0628508 0.264120i
\(370\) 3.80134 + 0.821403i 0.197622 + 0.0427027i
\(371\) −2.80835 + 8.64321i −0.145802 + 0.448733i
\(372\) −22.1063 + 11.0744i −1.14616 + 0.574182i
\(373\) 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
\(375\) −14.4417 + 12.9011i −0.745765 + 0.666209i
\(376\) 26.4508 11.2020i 1.36410 0.577697i
\(377\) −21.2496 29.2476i −1.09441 1.50633i
\(378\) −1.16846 + 5.30248i −0.0600989 + 0.272730i
\(379\) −14.3712 4.66948i −0.738199 0.239855i −0.0843032 0.996440i \(-0.526866\pi\)
−0.653896 + 0.756585i \(0.726866\pi\)
\(380\) 1.05364 13.2628i 0.0540508 0.680368i
\(381\) 2.13103 2.30996i 0.109176 0.118343i
\(382\) 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 \(0.833097\pi\)
\(384\) 13.3984 14.2997i 0.683736 0.729729i
\(385\) 0.927154 + 3.20047i 0.0472522 + 0.163111i
\(386\) −1.87584 + 1.78951i −0.0954775 + 0.0910839i
\(387\) 2.82164 + 6.77367i 0.143432 + 0.344325i
\(388\) −16.1255 6.09272i −0.818646 0.309311i
\(389\) 2.11053 + 2.90489i 0.107008 + 0.147284i 0.859162 0.511703i \(-0.170985\pi\)
−0.752154 + 0.658987i \(0.770985\pi\)
\(390\) 0.401667 25.9782i 0.0203392 1.31546i
\(391\) 2.59785 3.57563i 0.131379 0.180827i
\(392\) 11.9649 + 13.7869i 0.604316 + 0.696346i
\(393\) −26.8005 + 15.0443i −1.35191 + 0.758883i
\(394\) −13.4396 + 6.45388i −0.677079 + 0.325142i
\(395\) 27.4133 + 21.2977i 1.37931 + 1.07160i
\(396\) 10.0218 + 6.78109i 0.503616 + 0.340762i
\(397\) 7.18092 22.1006i 0.360400 1.10920i −0.592412 0.805635i \(-0.701824\pi\)
0.952812 0.303561i \(-0.0981758\pi\)
\(398\) 19.3953 + 20.3309i 0.972199 + 1.01909i
\(399\) −3.32006 + 1.86369i −0.166211 + 0.0933012i
\(400\) −14.1213 14.1630i −0.706064 0.708148i
\(401\) 19.9923i 0.998366i 0.866497 + 0.499183i \(0.166366\pi\)
−0.866497 + 0.499183i \(0.833634\pi\)
\(402\) 21.7008 + 6.65190i 1.08234 + 0.331767i
\(403\) −32.1998 10.4624i −1.60399 0.521168i
\(404\) −35.2337 1.66045i −1.75294 0.0826106i
\(405\) 18.1815 8.62747i 0.903446 0.428702i
\(406\) 3.44746 + 7.17903i 0.171095 + 0.356289i
\(407\) −2.48025 −0.122941
\(408\) 5.83587 16.2632i 0.288919 0.805149i
\(409\) 0.968333 + 0.703535i 0.0478810 + 0.0347876i 0.611468 0.791269i \(-0.290579\pi\)
−0.563587 + 0.826056i \(0.690579\pi\)
\(410\) 1.16108 5.37334i 0.0573418 0.265370i
\(411\) −7.37755 3.39215i −0.363908 0.167322i
\(412\) 3.87775 10.2632i 0.191043 0.505630i
\(413\) −2.13404 + 2.93725i −0.105009 + 0.144533i
\(414\) 1.12946 + 5.19517i 0.0555099 + 0.255329i
\(415\) −0.206082 + 6.40086i −0.0101162 + 0.314206i
\(416\) 26.8126 1.05561i 1.31460 0.0517555i
\(417\) 24.9091 27.0006i 1.21980 1.32223i
\(418\) 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 \(0.713048\pi\)
\(420\) −1.11510 + 5.61372i −0.0544114 + 0.273922i
\(421\) −5.11841 + 15.7529i −0.249456 + 0.767747i 0.745415 + 0.666600i \(0.232251\pi\)
−0.994871 + 0.101147i \(0.967749\pi\)
\(422\) −31.9993 5.84359i −1.55770 0.284462i
\(423\) 2.45123 + 30.3688i 0.119183 + 1.47658i
\(424\) 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
\(428\) 0.610985 12.9647i 0.0295331 0.626672i
\(429\) 3.24881 + 16.2479i 0.156854 + 0.784456i
\(430\) 3.12219 + 7.07665i 0.150565 + 0.341266i
\(431\) 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 \(-0.274293\pi\)
\(434\) 6.56385 + 3.54152i 0.315075 + 0.169999i
\(435\) 13.1875 26.4076i 0.632292 1.26615i
\(436\) −10.4285 + 13.0178i −0.499436 + 0.623439i
\(437\) −2.19128 + 3.01604i −0.104823 + 0.144277i
\(438\) 13.1146 0.219354i 0.626639 0.0104811i
\(439\) 7.99755 + 11.0077i 0.381702 + 0.525368i 0.956035 0.293254i \(-0.0947382\pi\)
−0.574332 + 0.818622i \(0.694738\pi\)
\(440\) 10.7104 + 6.92655i 0.510597 + 0.330210i
\(441\) −17.8734 + 7.44535i −0.851115 + 0.354540i
\(442\) 21.3284 10.2422i 1.01449 0.487171i
\(443\) −22.1217 −1.05104 −0.525518 0.850782i \(-0.676128\pi\)
−0.525518 + 0.850782i \(0.676128\pi\)
\(444\) −3.78264 1.95997i −0.179516 0.0930160i
\(445\) −7.79952 26.9234i −0.369733 1.27629i
\(446\) 26.2906 + 4.80108i 1.24490 + 0.227338i
\(447\) 7.12436 1.42453i 0.336971 0.0673782i
\(448\) −5.85221 0.832323i −0.276491 0.0393235i
\(449\) 1.26422i 0.0596623i 0.999555 + 0.0298312i \(0.00949696\pi\)
−0.999555 + 0.0298312i \(0.990503\pi\)
\(450\) 18.9716 9.49094i 0.894330 0.447407i
\(451\) 3.50593i 0.165088i
\(452\) 6.02436 + 4.82611i 0.283362 + 0.227001i
\(453\) −3.24512 + 0.648871i −0.152469 + 0.0304866i
\(454\) 5.69578 31.1899i 0.267316 1.46382i
\(455\) −6.48543 + 4.40021i −0.304041 + 0.206285i
\(456\) −4.92255 + 13.7180i −0.230519 + 0.642404i
\(457\) 24.3254 1.13789 0.568946 0.822375i \(-0.307351\pi\)
0.568946 + 0.822375i \(0.307351\pi\)
\(458\) 12.5420 + 26.1177i 0.586051 + 1.22040i
\(459\) 14.4263 + 11.3027i 0.673361 + 0.527565i
\(460\) 1.30424 + 5.45024i 0.0608104 + 0.254119i
\(461\) 8.55950 + 11.7811i 0.398656 + 0.548702i 0.960406 0.278604i \(-0.0898718\pi\)
−0.561750 + 0.827307i \(0.689872\pi\)
\(462\) −0.0610426 3.64958i −0.00283996 0.169794i
\(463\) −0.519225 + 0.714652i −0.0241304 + 0.0332127i −0.820912 0.571055i \(-0.806534\pi\)
0.796781 + 0.604268i \(0.206534\pi\)
\(464\) 27.9789 + 12.1054i 1.29889 + 0.561980i
\(465\) −4.54501 27.2673i −0.210770 1.26449i
\(466\) −3.90273 + 7.23331i −0.180791 + 0.335077i
\(467\) −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
\(470\) 3.24931 + 31.9508i 0.149879 + 1.47378i
\(471\) −6.85119 34.2641i −0.315686 1.57880i
\(472\) 1.19986 + 13.8460i 0.0552282 + 0.637316i
\(473\) −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
\(477\) −36.7791 + 2.96864i −1.68400 + 0.135925i
\(478\) −3.09439 + 16.9448i −0.141534 + 0.775037i
\(479\) −6.91709 + 21.2886i −0.316050 + 0.972702i 0.659270 + 0.751906i \(0.270865\pi\)
−0.975320 + 0.220796i \(0.929135\pi\)
\(480\) 10.8609 + 19.0274i 0.495729 + 0.868477i
\(481\) −1.80272 5.54821i −0.0821971 0.252977i
\(482\) −15.9948 + 2.14863i −0.728543 + 0.0978674i
\(483\) 1.08743 1.17874i 0.0494800 0.0536347i
\(484\) 12.9706 + 4.90071i 0.589573 + 0.222760i
\(485\) 11.8241 15.2194i 0.536906 0.691077i
\(486\) −21.6978 + 3.89918i −0.984234 + 0.176871i
\(487\) −0.946906 + 1.30330i −0.0429084 + 0.0590584i −0.829932 0.557864i \(-0.811621\pi\)
0.787024 + 0.616923i \(0.211621\pi\)
\(488\) 17.3548 + 4.02176i 0.785616 + 0.182056i
\(489\) 2.23472 + 1.02751i 0.101057 + 0.0464656i
\(490\) −18.6729 + 8.23838i −0.843554 + 0.372172i
\(491\) −13.8437 10.0580i −0.624757 0.453912i 0.229823 0.973232i \(-0.426185\pi\)
−0.854580 + 0.519320i \(0.826185\pi\)
\(492\) −2.77049 + 5.34691i −0.124903 + 0.241057i
\(493\) 26.8803 1.21063
\(494\) −17.9905 + 8.63927i −0.809431 + 0.388699i
\(495\) −10.5478 + 8.47171i −0.474087 + 0.380775i
\(496\) 27.8621 6.22978i 1.25105 0.279725i
\(497\) 9.84539 + 3.19896i 0.441626 + 0.143493i
\(498\) 2.05600 6.70739i 0.0921316 0.300565i
\(499\) 10.7652i 0.481918i −0.970535 0.240959i \(-0.922538\pi\)
0.970535 0.240959i \(-0.0774620\pi\)
\(500\) 19.7854 10.4182i 0.884828 0.465918i
\(501\) −17.8986 + 10.0472i −0.799650 + 0.448877i
\(502\) 25.1720 24.0137i 1.12348 1.07178i
\(503\) −2.71748 + 8.36356i −0.121167 + 0.372912i −0.993183 0.116564i \(-0.962812\pi\)
0.872017 + 0.489476i \(0.162812\pi\)
\(504\) 2.79091 5.61423i 0.124317 0.250078i
\(505\) 13.3871 37.0944i 0.595716 1.65068i
\(506\) −1.54714 3.22179i −0.0687789 0.143226i
\(507\) −14.3498 + 8.05516i −0.637299 + 0.357742i
\(508\) −3.03308 + 1.99250i −0.134571 + 0.0884028i
\(509\) 15.2010 20.9223i 0.673771 0.927366i −0.326068 0.945346i \(-0.605724\pi\)
0.999838 + 0.0179806i \(0.00572371\pi\)
\(510\) 15.4512 + 11.5951i 0.684192 + 0.513441i
\(511\) −2.32561 3.20093i −0.102879 0.141601i
\(512\) −19.0074 + 12.2768i −0.840016 + 0.542562i
\(513\) −12.1685 9.53382i −0.537254 0.420928i
\(514\) 2.32968 + 2.44206i 0.102758 + 0.107715i
\(515\) 9.68649 + 7.52555i 0.426838 + 0.331615i
\(516\) −1.26836 8.37757i −0.0558363 0.368802i
\(517\) −6.32918 19.4792i −0.278357 0.856695i
\(518\) 0.171096 + 1.27367i 0.00751751 + 0.0559618i
\(519\) −0.630191 + 0.683106i −0.0276623 + 0.0299850i
\(520\) −7.70975 + 28.9931i −0.338095 + 1.27143i
\(521\) 15.8802 + 5.15978i 0.695723 + 0.226054i 0.635466 0.772129i \(-0.280808\pi\)
0.0602569 + 0.998183i \(0.480808\pi\)
\(522\) −21.5245 + 24.1293i −0.942101 + 1.05611i
\(523\) −5.98318 8.23514i −0.261626 0.360097i 0.657914 0.753093i \(-0.271439\pi\)
−0.919540 + 0.392995i \(0.871439\pi\)
\(524\) 34.2308 9.36567i 1.49538 0.409141i
\(525\) −5.62985 3.04161i −0.245707 0.132747i
\(526\) 21.6151 2.90362i 0.942463 0.126604i
\(527\) 20.3661 14.7968i 0.887161 0.644560i
\(528\) −9.33319 10.3980i −0.406175 0.452515i
\(529\) −6.62214 + 20.3809i −0.287919 + 0.886124i
\(530\) −38.6951 + 3.93518i −1.68081 + 0.170933i
\(531\) −14.3405 3.41253i −0.622327 0.148091i
\(532\) 4.24053 1.16022i 0.183850 0.0503020i
\(533\) −7.84260 + 2.54822i −0.339701 + 0.110375i
\(534\) 0.513510 + 30.7014i 0.0222218 + 1.32858i
\(535\) 13.6494 + 4.92594i 0.590114 + 0.212967i
\(536\) −22.4541 13.5170i −0.969870 0.583846i
\(537\) 12.3973 + 1.45474i 0.534983 + 0.0627767i
\(538\) 15.3486 28.4471i 0.661726 1.22644i
\(539\) 10.5303 7.65068i 0.453570 0.329538i
\(540\) −22.7811 + 4.58509i −0.980341 + 0.197311i
\(541\) −2.35065 1.70785i −0.101062 0.0734260i 0.536106 0.844150i \(-0.319895\pi\)
−0.637169 + 0.770724i \(0.719895\pi\)
\(542\) −21.6443 + 10.3939i −0.929702 + 0.446455i
\(543\) 16.5289 9.27837i 0.709324 0.398173i
\(544\) −11.0832 + 16.5900i −0.475188 + 0.711292i
\(545\) −10.4702 15.4320i −0.448495 0.661033i
\(546\) 8.11958 2.78918i 0.347486 0.119366i
\(547\) −19.2639 6.25923i −0.823666 0.267625i −0.133291 0.991077i \(-0.542554\pi\)
−0.690375 + 0.723452i \(0.742554\pi\)
\(548\) 7.31766 + 5.86217i 0.312595 + 0.250420i
\(549\) −9.84054 + 16.1307i −0.419984 + 0.688440i
\(550\) −10.9301 + 9.15937i −0.466061 + 0.390557i
\(551\) −22.6735 −0.965924
\(552\) 0.186398 6.13617i 0.00793364 0.261173i
\(553\) −3.54474 + 10.9096i −0.150737 + 0.463922i
\(554\) 3.95590 21.6624i 0.168070 0.920346i
\(555\) 3.34069 3.39516i 0.141805 0.144116i
\(556\) −35.4530 + 23.2899i −1.50354 + 0.987710i
\(557\) 0.501584i 0.0212528i −0.999944 0.0106264i \(-0.996617\pi\)
0.999944 0.0106264i \(-0.00338255\pi\)
\(558\) −3.02570 + 30.1304i −0.128088 + 1.27552i
\(559\) 6.81974 9.38656i 0.288444 0.397009i
\(560\) 2.81811 5.97785i 0.119087 0.252610i
\(561\) −11.1935 5.14671i −0.472591 0.217294i
\(562\) 3.97229 7.36222i 0.167561 0.310557i
\(563\) 4.55684 + 3.31074i 0.192048 + 0.139531i 0.679654 0.733533i \(-0.262130\pi\)
−0.487606 + 0.873064i \(0.662130\pi\)
\(564\) 5.74041 34.7094i 0.241715 1.46153i
\(565\) −7.14160 + 4.84540i −0.300449 + 0.203848i
\(566\) 20.6668 38.3037i 0.868689 1.61002i
\(567\) 4.72104 + 4.68340i 0.198265 + 0.196684i
\(568\) 36.4898 15.4535i 1.53108 0.648413i
\(569\) 19.3311 6.28105i 0.810401 0.263315i 0.125633 0.992077i \(-0.459904\pi\)
0.684768 + 0.728762i \(0.259904\pi\)
\(570\) −13.0331 9.78047i −0.545896 0.409659i
\(571\) 30.1588 + 9.79917i 1.26210 + 0.410083i 0.862244 0.506493i \(-0.169058\pi\)
0.399861 + 0.916576i \(0.369058\pi\)
\(572\) 0.900671 19.1116i 0.0376590 0.799097i
\(573\) 5.66206 12.3144i 0.236536 0.514440i
\(574\) 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 \(0.982076\pi\)
\(578\) 1.15861 6.34450i 0.0481917 0.263896i
\(579\) 0.622560 + 3.11354i 0.0258727 + 0.129394i
\(580\) −22.1547 + 25.9011i −0.919923 + 1.07549i
\(581\) −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
\(584\) −14.7545 3.41918i −0.610547 0.141487i
\(585\) −26.6173 17.4374i −1.10049 0.720947i
\(586\) −11.7263 12.2920i −0.484410 0.507776i
\(587\) −29.8263 21.6701i −1.23106 0.894421i −0.234095 0.972214i \(-0.575213\pi\)
−0.996970 + 0.0777929i \(0.975213\pi\)
\(588\) 22.1056 3.34676i 0.911618 0.138018i
\(589\) −17.1788 + 12.4811i −0.707839 + 0.514275i
\(590\) −15.1878 3.28182i −0.625273 0.135111i
\(591\) −2.12805 + 18.1352i −0.0875362 + 0.745983i
\(592\) 3.69025 + 3.25298i 0.151668 + 0.133697i
\(593\) 3.60378i 0.147989i 0.997259 + 0.0739947i \(0.0235748\pi\)
−0.997259 + 0.0739947i \(0.976425\pi\)
\(594\) 13.5832 5.92672i 0.557327 0.243176i
\(595\) 0.187518 5.82427i 0.00768748 0.238772i
\(596\) −8.38004 0.394925i −0.343260 0.0161768i
\(597\) 33.7454 6.74749i 1.38111 0.276156i
\(598\) 6.08249 5.80259i 0.248731 0.237286i
\(599\) −11.2701 −0.460484 −0.230242 0.973133i \(-0.573952\pi\)
−0.230242 + 0.973133i \(0.573952\pi\)
\(600\) −23.9076 + 5.33169i −0.976023 + 0.217665i
\(601\) −26.8415 −1.09489 −0.547443 0.836843i \(-0.684399\pi\)
−0.547443 + 0.836843i \(0.684399\pi\)
\(602\) −1.84934 + 1.76424i −0.0753733 + 0.0719049i
\(603\) 21.1020 18.0960i 0.859340 0.736925i
\(604\) 3.81708 + 0.179887i 0.155315 + 0.00731951i
\(605\) −9.51079 + 12.2418i −0.386669 + 0.497700i
\(606\) −24.8044 + 35.3694i −1.00761 + 1.43678i
\(607\) 18.6629i 0.757503i −0.925498 0.378751i \(-0.876354\pi\)
0.925498 0.378751i \(-0.123646\pi\)
\(608\) 9.34866 13.9937i 0.379138 0.567518i
\(609\) 9.68727 + 1.13674i 0.392548 + 0.0460629i
\(610\) −10.0168 + 17.2154i −0.405569 + 0.697029i
\(611\) 38.9739 28.3162i 1.57672 1.14555i
\(612\) −13.0042 16.6948i −0.525665 0.674845i
\(613\) −35.3535 25.6858i −1.42791 1.03744i −0.990400 0.138229i \(-0.955859\pi\)
−0.437514 0.899212i \(-0.644141\pi\)
\(614\) −23.5522 24.6883i −0.950489 0.996337i
\(615\) −4.79918 4.72220i −0.193522 0.190417i
\(616\) −0.951502 + 4.10595i −0.0383371 + 0.165434i
\(617\) 31.8623 10.3527i 1.28273 0.416784i 0.413188 0.910646i \(-0.364415\pi\)
0.869540 + 0.493862i \(0.164415\pi\)
\(618\) −8.07880 10.7372i −0.324977 0.431913i
\(619\) 21.6969 7.04976i 0.872074 0.283354i 0.161411 0.986887i \(-0.448395\pi\)
0.710662 + 0.703533i \(0.248395\pi\)
\(620\) −2.52786 + 31.8197i −0.101521 + 1.27791i
\(621\) 6.11567 + 2.23536i 0.245413 + 0.0897018i
\(622\) −4.72236 + 25.8595i −0.189350 + 1.03687i
\(623\) 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
\(627\) 9.44172 + 4.34125i 0.377066 + 0.173373i
\(628\) −1.89936 + 40.3032i −0.0757928 + 1.60827i
\(629\) 4.12530 + 1.34039i 0.164486 + 0.0534449i
\(630\) 5.07805 + 4.83213i 0.202314 + 0.192516i
\(631\) −24.0978 + 7.82984i −0.959317 + 0.311701i −0.746496 0.665390i \(-0.768265\pi\)
−0.212821 + 0.977091i \(0.568265\pi\)
\(632\) 17.1238 + 40.4339i 0.681149 + 1.60837i
\(633\) −27.0136 + 29.2818i −1.07369 + 1.16385i
\(634\) −7.86563 + 14.5781i −0.312384 + 0.578972i
\(635\) −1.12897 3.89711i −0.0448016 0.154652i
\(636\) 42.0360 + 6.95211i 1.66683 + 0.275669i
\(637\) 24.7679 + 17.9950i 0.981342 + 0.712986i
\(638\) 10.3216 19.1299i 0.408634 0.757361i
\(639\) 3.38155 + 41.8947i 0.133772 + 1.65733i
\(640\) −6.85095 24.3529i −0.270808 0.962633i
\(641\) 8.54730 11.7644i 0.337598 0.464664i −0.606140 0.795358i \(-0.707283\pi\)
0.943738 + 0.330694i \(0.107283\pi\)
\(642\) −13.0146 9.12709i −0.513647 0.360218i
\(643\) 5.27318i 0.207954i 0.994580 + 0.103977i \(0.0331568\pi\)
−0.994580 + 0.103977i \(0.966843\pi\)
\(644\) −1.54774 + 1.01675i −0.0609895 + 0.0400654i
\(645\) 9.36819 + 1.40623i 0.368872 + 0.0553701i
\(646\) 2.66575 14.5976i 0.104883 0.574335i
\(647\) −0.604880 + 1.86163i −0.0237803 + 0.0731882i −0.962242 0.272194i \(-0.912251\pi\)
0.938462 + 0.345382i \(0.112251\pi\)
\(648\) 25.3993 + 1.69502i 0.997781 + 0.0665868i
\(649\) 9.90956 0.388984
\(650\) −28.4334 17.7929i −1.11525 0.697894i
\(651\) 7.96538 4.47130i 0.312188 0.175244i
\(652\) −2.21658 1.77570i −0.0868078 0.0695417i
\(653\) −34.1296 11.0894i −1.33559 0.433961i −0.447773 0.894147i \(-0.647783\pi\)
−0.887822 + 0.460186i \(0.847783\pi\)
\(654\) 6.63680 + 19.3204i 0.259519 + 0.755488i
\(655\) −1.27680 + 39.6573i −0.0498889 + 1.54954i
\(656\) 4.59821 5.21631i 0.179530 0.203663i
\(657\) 8.36613 13.7138i 0.326394 0.535027i
\(658\) −9.56644 + 4.59393i −0.372939 + 0.179090i
\(659\) −9.38919 6.82165i −0.365751 0.265734i 0.389696 0.920944i \(-0.372580\pi\)
−0.755447 + 0.655210i \(0.772580\pi\)
\(660\) 14.1849 6.54386i 0.552147 0.254719i
\(661\) 16.9242 12.2962i 0.658276 0.478266i −0.207804 0.978170i \(-0.566632\pi\)
0.866080 + 0.499905i \(0.166632\pi\)
\(662\) −7.57028 + 14.0307i −0.294227 + 0.545320i
\(663\) 3.37717 28.7802i 0.131158 1.11773i
\(664\) −4.17790 + 6.94022i −0.162134 + 0.269333i
\(665\) −0.158171 + 4.91276i −0.00613361 + 0.190509i
\(666\) −4.50655 + 2.62979i −0.174625 + 0.101902i
\(667\) 9.08301 2.95125i 0.351696 0.114273i
\(668\) 22.8609 6.25481i 0.884513 0.242006i
\(669\) 22.1943 24.0579i 0.858081 0.930132i
\(670\) 21.8418 19.5335i 0.843822 0.754645i
\(671\) 3.92523 12.0806i 0.151532 0.466367i
\(672\) −4.69579 + 5.51011i −0.181144 + 0.212557i
\(673\) 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
\(675\) 2.61024 25.8493i 0.100468 0.994940i
\(676\) 18.3282 5.01467i 0.704932 0.192872i
\(677\) −10.8376 14.9166i −0.416522 0.573293i 0.548272 0.836300i \(-0.315286\pi\)
−0.964794 + 0.263007i \(0.915286\pi\)
\(678\) 8.94109 3.07138i 0.343380 0.117955i
\(679\) 6.05681 + 1.96798i 0.232439 + 0.0755240i
\(680\) −14.0708 17.3088i −0.539592 0.663762i
\(681\) −28.5412 26.3303i −1.09370 1.00898i
\(682\) −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 \(-0.264704\pi\)
\(684\) 10.9690 + 14.0820i 0.419412 + 0.538439i
\(685\) −8.67475 + 5.88561i −0.331445 + 0.224877i
\(686\) −9.70423 10.1723i −0.370509 0.388381i
\(687\) 35.2427 + 4.13550i 1.34459 + 0.157779i
\(688\) −0.920119 + 9.74046i −0.0350792 + 0.371352i
\(689\) 34.2933 + 47.2007i 1.30647 + 1.79820i
\(690\) 6.49411 + 2.22164i 0.247227 + 0.0845762i
\(691\) −4.33841 + 5.97131i −0.165041 + 0.227159i −0.883525 0.468384i \(-0.844836\pi\)
0.718484 + 0.695544i \(0.244836\pi\)
\(692\) 0.896947 0.589225i 0.0340968 0.0223990i
\(693\) −3.81633 2.32816i −0.144970 0.0884395i
\(694\) −2.09188 4.35615i −0.0794067 0.165357i
\(695\) −13.1962 45.5524i −0.500561 1.72790i
\(696\) 30.8585 21.0188i 1.16969 0.796714i
\(697\) 1.89469 5.83126i 0.0717666 0.220875i
\(698\) −9.00654 + 8.59209i −0.340903 + 0.325215i
\(699\) 4.92734 + 8.77778i 0.186369 + 0.332006i
\(700\) 5.45755 + 4.98103i 0.206276 + 0.188265i
\(701\) 28.4071i 1.07292i −0.843925 0.536462i \(-0.819761\pi\)
0.843925 0.536462i \(-0.180239\pi\)
\(702\) 23.1305 + 26.0774i 0.873005 + 0.984227i
\(703\) −3.47968 1.13062i −0.131239 0.0426420i
\(704\) 7.55089 + 14.2579i 0.284585 + 0.537363i
\(705\) 35.1896 + 17.5730i 1.32532 + 0.661839i
\(706\) 8.25914 3.96614i 0.310837 0.149268i
\(707\) 13.0313 0.490093
\(708\) 15.1131 + 7.83084i 0.567986 + 0.294301i
\(709\) −15.0277 10.9183i −0.564378 0.410044i 0.268681 0.963229i \(-0.413412\pi\)
−0.833058 + 0.553185i \(0.813412\pi\)
\(710\) 4.48253 + 44.0772i 0.168226 + 1.65419i
\(711\) −46.4231 + 3.74706i −1.74100 + 0.140526i
\(712\) 8.00433 34.5406i 0.299975 1.29446i
\(713\) 5.25724 7.23597i 0.196885 0.270989i
\(714\) −1.87080 + 6.10318i −0.0700128 + 0.228406i
\(715\) 20.1210 + 7.26147i 0.752481 + 0.271564i
\(716\) −13.4831 5.09434i −0.503886 0.190384i
\(717\) 15.5058 + 14.3047i 0.579074 + 0.534217i
\(718\) 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 \(0.822623\pi\)
\(720\) 26.8046 + 1.22927i 0.998950 + 0.0458121i
\(721\) −1.25253 + 3.85490i −0.0466468 + 0.143564i
\(722\) 2.57851 14.1199i 0.0959623 0.525487i
\(723\) −8.25706 + 17.9582i −0.307083 + 0.667872i
\(724\) −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 \(-0.923317\pi\)
0.0731863 0.997318i \(-0.476683\pi\)
\(728\) −9.87642 + 0.855866i −0.366044 + 0.0317205i
\(729\) −10.1825 + 25.0063i −0.377131 + 0.926160i
\(730\) 8.51600 14.6360i 0.315191 0.541702i
\(731\) 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 \(-0.284266\pi\)
\(734\) 12.7729 23.6733i 0.471458 0.873798i
\(735\) −3.71055 + 24.7195i −0.136866 + 0.911791i
\(736\) −1.92362 + 6.82272i −0.0709055 + 0.251489i
\(737\) −10.9842 + 15.1185i −0.404608 + 0.556896i
\(738\) 3.71730 + 6.37018i 0.136836 + 0.234490i
\(739\) −16.9992 23.3974i −0.625326 0.860688i 0.372401 0.928072i \(-0.378535\pi\)
−0.997727 + 0.0673842i \(0.978535\pi\)
\(740\) −4.69162 + 2.87027i −0.172467 + 0.105513i
\(741\) −2.84864 + 24.2761i −0.104647 + 0.891804i
\(742\) −5.56363 11.5858i −0.204247 0.425327i
\(743\) 5.79856 0.212729 0.106364 0.994327i \(-0.466079\pi\)
0.106364 + 0.994327i \(0.466079\pi\)
\(744\) 11.8100 32.9118i 0.432976 1.20660i
\(745\) 3.18400 8.82261i 0.116653 0.323235i
\(746\) −0.143075 + 0.783474i −0.00523834 + 0.0286850i
\(747\) −5.59319 6.52231i −0.204644 0.238639i
\(748\) 11.1027 + 8.89433i 0.405954 + 0.325209i
\(749\) 4.79504i 0.175207i
\(750\) 2.18392 27.2989i 0.0797454 0.996815i
\(751\) 16.7726i 0.612040i −0.952025 0.306020i \(-0.901003\pi\)
0.952025 0.306020i \(-0.0989974\pi\)
\(752\) −16.1311 + 37.2833i −0.588241 + 1.35958i
\(753\) −8.35418 41.7808i −0.304443 1.52258i
\(754\) 50.2948 + 9.18464i 1.83163 + 0.334485i
\(755\) −1.45030 + 4.01867i −0.0527819 + 0.146254i
\(756\) −3.98053 6.56648i −0.144770 0.238820i
\(757\) −2.93848 −0.106801 −0.0534005 0.998573i \(-0.517006\pi\)
−0.0534005 + 0.998573i \(0.517006\pi\)
\(758\) 19.2638 9.25073i 0.699693 0.336002i
\(759\) −4.34743 0.510142i −0.157802 0.0185170i
\(760\) 11.8687 + 14.5999i 0.430524 + 0.529596i
\(761\) 25.3962 + 34.9549i 0.920611 + 1.26711i 0.963411 + 0.268029i \(0.0863724\pi\)
−0.0427993 + 0.999084i \(0.513628\pi\)
\(762\) 0.0743296 + 4.44397i 0.00269268 + 0.160988i
\(763\) 3.62209 4.98538i 0.131128 0.180483i
\(764\) −9.78494 + 12.2144i −0.354007 + 0.441901i
\(765\) 22.1220 8.39037i 0.799822 0.303354i
\(766\) −10.1638 5.48390i −0.367234 0.198141i
\(767\) 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 \(0.715899\pi\)
\(770\) −4.07296 2.36987i −0.146779 0.0854040i
\(771\) 4.05336 0.810480i 0.145978 0.0291887i
\(772\) 0.172593 3.66230i 0.00621175 0.131809i
\(773\) −2.56875 3.53558i −0.0923916 0.127166i 0.760319 0.649550i \(-0.225043\pi\)
−0.852710 + 0.522384i \(0.825043\pi\)
\(774\) −9.49961 4.17685i −0.341456 </