Properties

Label 300.2.r.a.59.14
Level $300$
Weight $2$
Character 300.59
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 59.14
Character \(\chi\) \(=\) 300.59
Dual form 300.2.r.a.239.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.957505 - 1.04076i) q^{2} +(0.760326 + 1.55625i) q^{3} +(-0.166367 + 1.99307i) q^{4} +(-1.70605 + 1.44547i) q^{5} +(0.891666 - 2.28143i) q^{6} -1.06519 q^{7} +(2.23361 - 1.73523i) q^{8} +(-1.84381 + 2.36651i) q^{9} +O(q^{10})\) \(q+(-0.957505 - 1.04076i) q^{2} +(0.760326 + 1.55625i) q^{3} +(-0.166367 + 1.99307i) q^{4} +(-1.70605 + 1.44547i) q^{5} +(0.891666 - 2.28143i) q^{6} -1.06519 q^{7} +(2.23361 - 1.73523i) q^{8} +(-1.84381 + 2.36651i) q^{9} +(3.13794 + 0.391539i) q^{10} +(-3.04382 - 2.21147i) q^{11} +(-3.22820 + 1.25647i) q^{12} +(0.659995 + 0.908406i) q^{13} +(1.01992 + 1.10861i) q^{14} +(-3.54667 - 1.55600i) q^{15} +(-3.94464 - 0.663162i) q^{16} +(-0.888219 + 2.73366i) q^{17} +(4.22843 - 0.346979i) q^{18} +(-4.04621 - 1.31469i) q^{19} +(-2.59710 - 3.64075i) q^{20} +(-0.809891 - 1.65770i) q^{21} +(0.612868 + 5.28539i) q^{22} +(-4.00089 + 5.50675i) q^{23} +(4.39871 + 2.15671i) q^{24} +(0.821205 - 4.93210i) q^{25} +(0.313484 - 1.55670i) q^{26} +(-5.08477 - 1.07011i) q^{27} +(0.177213 - 2.12300i) q^{28} +(2.10841 - 0.685063i) q^{29} +(1.77653 + 5.18111i) q^{30} +(0.361234 + 0.117372i) q^{31} +(3.08682 + 4.74041i) q^{32} +(1.12729 - 6.41838i) q^{33} +(3.69556 - 1.69307i) q^{34} +(1.81727 - 1.53970i) q^{35} +(-4.40986 - 4.06855i) q^{36} +(6.98690 + 9.61665i) q^{37} +(2.50599 + 5.46996i) q^{38} +(-0.911892 + 1.71780i) q^{39} +(-1.30242 + 6.18900i) q^{40} +(2.81265 + 3.87128i) q^{41} +(-0.949793 + 2.43016i) q^{42} +9.24777 q^{43} +(4.91400 - 5.69863i) q^{44} +(-0.275099 - 6.70256i) q^{45} +(9.56209 - 1.10877i) q^{46} +(-7.50958 + 2.44001i) q^{47} +(-1.96717 - 6.64306i) q^{48} -5.86537 q^{49} +(-5.91945 + 3.86784i) q^{50} +(-4.92958 + 0.696181i) q^{51} +(-1.92032 + 1.16429i) q^{52} +(1.84297 + 5.67207i) q^{53} +(3.75497 + 6.31666i) q^{54} +(8.38953 - 0.626900i) q^{55} +(-2.37921 + 1.84834i) q^{56} +(-1.03045 - 7.29650i) q^{57} +(-2.73180 - 1.53840i) q^{58} +(5.06153 - 3.67742i) q^{59} +(3.69127 - 6.80989i) q^{60} +(2.73832 + 1.98950i) q^{61} +(-0.223727 - 0.488342i) q^{62} +(1.96401 - 2.52078i) q^{63} +(1.97799 - 7.75162i) q^{64} +(-2.43906 - 0.595778i) q^{65} +(-7.75939 + 4.97239i) q^{66} +(2.81133 - 8.65237i) q^{67} +(-5.30060 - 2.22507i) q^{68} +(-11.6118 - 2.03945i) q^{69} +(-3.34251 - 0.417064i) q^{70} +(-1.55922 - 4.79878i) q^{71} +(-0.0119183 + 8.48527i) q^{72} +(-0.951706 + 1.30991i) q^{73} +(3.31863 - 16.4797i) q^{74} +(8.29995 - 2.47200i) q^{75} +(3.29343 - 7.84565i) q^{76} +(3.24225 + 2.35563i) q^{77} +(2.66096 - 0.695741i) q^{78} +(-13.0050 + 4.22558i) q^{79} +(7.68834 - 4.57050i) q^{80} +(-2.20073 - 8.72679i) q^{81} +(1.33595 - 6.63407i) q^{82} +(14.7786 + 4.80187i) q^{83} +(3.43865 - 1.33838i) q^{84} +(-2.43609 - 5.94765i) q^{85} +(-8.85479 - 9.62472i) q^{86} +(2.66920 + 2.76033i) q^{87} +(-10.6361 + 0.342174i) q^{88} +(4.85548 - 6.68300i) q^{89} +(-6.71236 + 6.70405i) q^{90} +(-0.703020 - 0.967625i) q^{91} +(-10.3097 - 8.89019i) q^{92} +(0.0919955 + 0.651410i) q^{93} +(9.72993 + 5.47936i) q^{94} +(8.80339 - 3.60576i) q^{95} +(-5.03026 + 8.40812i) q^{96} +(-11.0204 + 3.58074i) q^{97} +(5.61612 + 6.10445i) q^{98} +(10.8457 - 3.12571i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} - 5q^{12} - 20q^{13} + 6q^{16} - 24q^{21} - 10q^{22} - 28q^{24} - 20q^{25} - 50q^{28} - 25q^{30} - 10q^{33} - 14q^{34} - 25q^{36} - 60q^{37} - 20q^{40} - 85q^{42} - 30q^{45} + 6q^{46} - 70q^{48} + 88q^{49} + 40q^{52} - 46q^{54} + 50q^{58} + 10q^{60} - 28q^{61} + 18q^{64} + 64q^{66} - 42q^{69} - 40q^{70} - 5q^{72} - 20q^{73} - 80q^{76} - 85q^{78} + 18q^{81} - 48q^{84} - 20q^{85} + 50q^{88} - 60q^{90} + 60q^{94} + 44q^{96} - 120q^{97} + O(q^{100}) \)

Character values

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

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{7}{10}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.957505 1.04076i −0.677059 0.735929i
\(3\) 0.760326 + 1.55625i 0.438974 + 0.898500i
\(4\) −0.166367 + 1.99307i −0.0831836 + 0.996534i
\(5\) −1.70605 + 1.44547i −0.762968 + 0.646436i
\(6\) 0.891666 2.28143i 0.364021 0.931391i
\(7\) −1.06519 −0.402604 −0.201302 0.979529i \(-0.564517\pi\)
−0.201302 + 0.979529i \(0.564517\pi\)
\(8\) 2.23361 1.73523i 0.789699 0.613495i
\(9\) −1.84381 + 2.36651i −0.614603 + 0.788836i
\(10\) 3.13794 + 0.391539i 0.992305 + 0.123816i
\(11\) −3.04382 2.21147i −0.917748 0.666783i 0.0252148 0.999682i \(-0.491973\pi\)
−0.942962 + 0.332899i \(0.891973\pi\)
\(12\) −3.22820 + 1.25647i −0.931901 + 0.362712i
\(13\) 0.659995 + 0.908406i 0.183050 + 0.251946i 0.890674 0.454643i \(-0.150233\pi\)
−0.707624 + 0.706589i \(0.750233\pi\)
\(14\) 1.01992 + 1.10861i 0.272586 + 0.296288i
\(15\) −3.54667 1.55600i −0.915746 0.401758i
\(16\) −3.94464 0.663162i −0.986161 0.165791i
\(17\) −0.888219 + 2.73366i −0.215425 + 0.663010i 0.783698 + 0.621142i \(0.213331\pi\)
−0.999123 + 0.0418678i \(0.986669\pi\)
\(18\) 4.22843 0.346979i 0.996650 0.0817838i
\(19\) −4.04621 1.31469i −0.928264 0.301611i −0.194412 0.980920i \(-0.562280\pi\)
−0.733853 + 0.679309i \(0.762280\pi\)
\(20\) −2.59710 3.64075i −0.580729 0.814097i
\(21\) −0.809891 1.65770i −0.176733 0.361739i
\(22\) 0.612868 + 5.28539i 0.130664 + 1.12685i
\(23\) −4.00089 + 5.50675i −0.834243 + 1.14824i 0.152875 + 0.988246i \(0.451147\pi\)
−0.987118 + 0.159992i \(0.948853\pi\)
\(24\) 4.39871 + 2.15671i 0.897882 + 0.440236i
\(25\) 0.821205 4.93210i 0.164241 0.986420i
\(26\) 0.313484 1.55670i 0.0614793 0.305294i
\(27\) −5.08477 1.07011i −0.978564 0.205942i
\(28\) 0.177213 2.12300i 0.0334900 0.401209i
\(29\) 2.10841 0.685063i 0.391521 0.127213i −0.106639 0.994298i \(-0.534009\pi\)
0.498161 + 0.867085i \(0.334009\pi\)
\(30\) 1.77653 + 5.18111i 0.324348 + 0.945938i
\(31\) 0.361234 + 0.117372i 0.0648795 + 0.0210806i 0.341277 0.939963i \(-0.389141\pi\)
−0.276397 + 0.961043i \(0.589141\pi\)
\(32\) 3.08682 + 4.74041i 0.545679 + 0.837995i
\(33\) 1.12729 6.41838i 0.196237 1.11730i
\(34\) 3.69556 1.69307i 0.633783 0.290359i
\(35\) 1.81727 1.53970i 0.307174 0.260258i
\(36\) −4.40986 4.06855i −0.734977 0.678092i
\(37\) 6.98690 + 9.61665i 1.14864 + 1.58097i 0.746496 + 0.665390i \(0.231735\pi\)
0.402144 + 0.915576i \(0.368265\pi\)
\(38\) 2.50599 + 5.46996i 0.406525 + 0.887345i
\(39\) −0.911892 + 1.71780i −0.146020 + 0.275068i
\(40\) −1.30242 + 6.18900i −0.205930 + 0.978567i
\(41\) 2.81265 + 3.87128i 0.439262 + 0.604592i 0.970048 0.242914i \(-0.0781032\pi\)
−0.530786 + 0.847506i \(0.678103\pi\)
\(42\) −0.949793 + 2.43016i −0.146556 + 0.374982i
\(43\) 9.24777 1.41027 0.705136 0.709072i \(-0.250886\pi\)
0.705136 + 0.709072i \(0.250886\pi\)
\(44\) 4.91400 5.69863i 0.740813 0.859101i
\(45\) −0.275099 6.70256i −0.0410093 0.999159i
\(46\) 9.56209 1.10877i 1.40985 0.163480i
\(47\) −7.50958 + 2.44001i −1.09539 + 0.355912i −0.800325 0.599566i \(-0.795340\pi\)
−0.295060 + 0.955479i \(0.595340\pi\)
\(48\) −1.96717 6.64306i −0.283936 0.958843i
\(49\) −5.86537 −0.837910
\(50\) −5.91945 + 3.86784i −0.837136 + 0.546994i
\(51\) −4.92958 + 0.696181i −0.690280 + 0.0974849i
\(52\) −1.92032 + 1.16429i −0.266300 + 0.161458i
\(53\) 1.84297 + 5.67207i 0.253151 + 0.779118i 0.994188 + 0.107655i \(0.0343341\pi\)
−0.741037 + 0.671464i \(0.765666\pi\)
\(54\) 3.75497 + 6.31666i 0.510986 + 0.859589i
\(55\) 8.38953 0.626900i 1.13124 0.0845311i
\(56\) −2.37921 + 1.84834i −0.317936 + 0.246995i
\(57\) −1.03045 7.29650i −0.136486 0.966445i
\(58\) −2.73180 1.53840i −0.358703 0.202001i
\(59\) 5.06153 3.67742i 0.658956 0.478759i −0.207354 0.978266i \(-0.566485\pi\)
0.866310 + 0.499507i \(0.166485\pi\)
\(60\) 3.69127 6.80989i 0.476541 0.879152i
\(61\) 2.73832 + 1.98950i 0.350605 + 0.254730i 0.749123 0.662431i \(-0.230475\pi\)
−0.398518 + 0.917161i \(0.630475\pi\)
\(62\) −0.223727 0.488342i −0.0284134 0.0620195i
\(63\) 1.96401 2.52078i 0.247442 0.317589i
\(64\) 1.97799 7.75162i 0.247248 0.968952i
\(65\) −2.43906 0.595778i −0.302528 0.0738971i
\(66\) −7.75939 + 4.97239i −0.955115 + 0.612059i
\(67\) 2.81133 8.65237i 0.343458 1.05706i −0.618946 0.785434i \(-0.712440\pi\)
0.962404 0.271622i \(-0.0875601\pi\)
\(68\) −5.30060 2.22507i −0.642792 0.269830i
\(69\) −11.6118 2.03945i −1.39790 0.245521i
\(70\) −3.34251 0.417064i −0.399506 0.0498486i
\(71\) −1.55922 4.79878i −0.185045 0.569511i 0.814904 0.579596i \(-0.196790\pi\)
−0.999949 + 0.0100854i \(0.996790\pi\)
\(72\) −0.0119183 + 8.48527i −0.00140459 + 0.999999i
\(73\) −0.951706 + 1.30991i −0.111389 + 0.153313i −0.861071 0.508484i \(-0.830206\pi\)
0.749683 + 0.661797i \(0.230206\pi\)
\(74\) 3.31863 16.4797i 0.385783 1.91572i
\(75\) 8.29995 2.47200i 0.958396 0.285443i
\(76\) 3.29343 7.84565i 0.377782 0.899958i
\(77\) 3.24225 + 2.35563i 0.369489 + 0.268449i
\(78\) 2.66096 0.695741i 0.301295 0.0787771i
\(79\) −13.0050 + 4.22558i −1.46317 + 0.475414i −0.929038 0.369984i \(-0.879363\pi\)
−0.534137 + 0.845398i \(0.679363\pi\)
\(80\) 7.68834 4.57050i 0.859582 0.510997i
\(81\) −2.20073 8.72679i −0.244525 0.969643i
\(82\) 1.33595 6.63407i 0.147531 0.732610i
\(83\) 14.7786 + 4.80187i 1.62217 + 0.527074i 0.972452 0.233105i \(-0.0748886\pi\)
0.649714 + 0.760179i \(0.274889\pi\)
\(84\) 3.43865 1.33838i 0.375187 0.146029i
\(85\) −2.43609 5.94765i −0.264231 0.645114i
\(86\) −8.85479 9.62472i −0.954836 1.03786i
\(87\) 2.66920 + 2.76033i 0.286169 + 0.295939i
\(88\) −10.6361 + 0.342174i −1.13381 + 0.0364759i
\(89\) 4.85548 6.68300i 0.514680 0.708396i −0.470020 0.882656i \(-0.655753\pi\)
0.984700 + 0.174259i \(0.0557532\pi\)
\(90\) −6.71236 + 6.70405i −0.707544 + 0.706669i
\(91\) −0.703020 0.967625i −0.0736966 0.101435i
\(92\) −10.3097 8.89019i −1.07486 0.926867i
\(93\) 0.0919955 + 0.651410i 0.00953948 + 0.0675480i
\(94\) 9.72993 + 5.47936i 1.00357 + 0.565153i
\(95\) 8.80339 3.60576i 0.903209 0.369944i
\(96\) −5.03026 + 8.40812i −0.513399 + 0.858150i
\(97\) −11.0204 + 3.58074i −1.11895 + 0.363569i −0.809367 0.587303i \(-0.800190\pi\)
−0.309584 + 0.950872i \(0.600190\pi\)
\(98\) 5.61612 + 6.10445i 0.567314 + 0.616643i
\(99\) 10.8457 3.12571i 1.09003 0.314146i
\(100\) 9.69339 + 2.45726i 0.969339 + 0.245726i
\(101\) 10.1196i 1.00693i 0.864015 + 0.503467i \(0.167942\pi\)
−0.864015 + 0.503467i \(0.832058\pi\)
\(102\) 5.44466 + 4.46392i 0.539102 + 0.441994i
\(103\) 4.28316 + 13.1822i 0.422032 + 1.29888i 0.905808 + 0.423689i \(0.139265\pi\)
−0.483776 + 0.875192i \(0.660735\pi\)
\(104\) 3.05046 + 0.883779i 0.299122 + 0.0866617i
\(105\) 3.77787 + 1.65744i 0.368683 + 0.161749i
\(106\) 4.13862 7.34912i 0.401978 0.713810i
\(107\) 3.63139i 0.351060i −0.984474 0.175530i \(-0.943836\pi\)
0.984474 0.175530i \(-0.0561638\pi\)
\(108\) 2.97873 9.95626i 0.286629 0.958042i
\(109\) 8.30940 6.03713i 0.795896 0.578252i −0.113811 0.993502i \(-0.536306\pi\)
0.909707 + 0.415250i \(0.136306\pi\)
\(110\) −8.68548 8.13124i −0.828128 0.775283i
\(111\) −9.65356 + 18.1851i −0.916275 + 1.72606i
\(112\) 4.20179 + 0.706393i 0.397032 + 0.0667479i
\(113\) −7.25641 + 5.27209i −0.682625 + 0.495956i −0.874228 0.485516i \(-0.838632\pi\)
0.191602 + 0.981473i \(0.438632\pi\)
\(114\) −6.60725 + 8.05889i −0.618826 + 0.754784i
\(115\) −1.13416 15.1780i −0.105761 1.41535i
\(116\) 1.01461 + 4.31617i 0.0942039 + 0.400746i
\(117\) −3.36666 0.113043i −0.311248 0.0104508i
\(118\) −8.67376 1.74670i −0.798484 0.160797i
\(119\) 0.946122 2.91186i 0.0867309 0.266930i
\(120\) −10.6219 + 2.67877i −0.969640 + 0.244538i
\(121\) 0.975089 + 3.00102i 0.0886445 + 0.272820i
\(122\) −0.551355 4.75489i −0.0499173 0.430488i
\(123\) −3.88614 + 7.32061i −0.350401 + 0.660077i
\(124\) −0.294028 + 0.700437i −0.0264045 + 0.0629011i
\(125\) 5.72821 + 9.60144i 0.512347 + 0.858779i
\(126\) −4.50408 + 0.369599i −0.401255 + 0.0329265i
\(127\) −7.53088 5.47151i −0.668258 0.485518i 0.201184 0.979554i \(-0.435521\pi\)
−0.869442 + 0.494036i \(0.835521\pi\)
\(128\) −9.96151 + 5.36360i −0.880482 + 0.474080i
\(129\) 7.03131 + 14.3918i 0.619073 + 1.26713i
\(130\) 1.71535 + 3.10894i 0.150446 + 0.272672i
\(131\) −2.27835 + 7.01204i −0.199060 + 0.612645i 0.800845 + 0.598872i \(0.204384\pi\)
−0.999905 + 0.0137729i \(0.995616\pi\)
\(132\) 12.6047 + 3.31458i 1.09710 + 0.288497i
\(133\) 4.30998 + 1.40040i 0.373723 + 0.121430i
\(134\) −11.6969 + 5.35878i −1.01046 + 0.462928i
\(135\) 10.2217 5.52425i 0.879742 0.475452i
\(136\) 2.75958 + 7.64717i 0.236632 + 0.655740i
\(137\) 6.81997 4.95500i 0.582669 0.423334i −0.257016 0.966407i \(-0.582739\pi\)
0.839685 + 0.543073i \(0.182739\pi\)
\(138\) 8.99583 + 14.0379i 0.765776 + 1.19499i
\(139\) −2.56193 + 3.52620i −0.217300 + 0.299088i −0.903726 0.428112i \(-0.859179\pi\)
0.686425 + 0.727200i \(0.259179\pi\)
\(140\) 2.76640 + 3.87809i 0.233804 + 0.327759i
\(141\) −9.50699 9.83156i −0.800633 0.827967i
\(142\) −3.50143 + 6.21763i −0.293833 + 0.521772i
\(143\) 4.22459i 0.353278i
\(144\) 8.84255 8.11229i 0.736879 0.676024i
\(145\) −2.60680 + 4.21640i −0.216483 + 0.350153i
\(146\) 2.27457 0.263748i 0.188245 0.0218280i
\(147\) −4.45959 9.12797i −0.367821 0.752862i
\(148\) −20.3290 + 12.3255i −1.67104 + 1.01315i
\(149\) 0.371677i 0.0304490i −0.999884 0.0152245i \(-0.995154\pi\)
0.999884 0.0152245i \(-0.00484629\pi\)
\(150\) −10.5200 6.27131i −0.858956 0.512050i
\(151\) 21.6111i 1.75868i 0.476192 + 0.879341i \(0.342017\pi\)
−0.476192 + 0.879341i \(0.657983\pi\)
\(152\) −11.3189 + 4.08458i −0.918086 + 0.331303i
\(153\) −4.83152 7.14233i −0.390605 0.577423i
\(154\) −0.652821 5.62994i −0.0526058 0.453673i
\(155\) −0.785940 + 0.321912i −0.0631283 + 0.0258566i
\(156\) −3.27198 2.10325i −0.261968 0.168395i
\(157\) 3.80885i 0.303980i −0.988382 0.151990i \(-0.951432\pi\)
0.988382 0.151990i \(-0.0485681\pi\)
\(158\) 16.8502 + 9.48907i 1.34053 + 0.754910i
\(159\) −7.42588 + 7.18073i −0.588911 + 0.569469i
\(160\) −12.1184 3.62545i −0.958045 0.286617i
\(161\) 4.26171 5.86574i 0.335870 0.462285i
\(162\) −6.97529 + 10.6464i −0.548031 + 0.836458i
\(163\) −7.51643 + 5.46100i −0.588732 + 0.427739i −0.841862 0.539694i \(-0.818540\pi\)
0.253130 + 0.967432i \(0.418540\pi\)
\(164\) −8.18366 + 4.96175i −0.639036 + 0.387448i
\(165\) 7.35439 + 12.5795i 0.572538 + 0.979316i
\(166\) −9.15302 19.9788i −0.710412 1.55066i
\(167\) 18.1592 + 5.90028i 1.40520 + 0.456578i 0.910869 0.412696i \(-0.135413\pi\)
0.494332 + 0.869273i \(0.335413\pi\)
\(168\) −4.68546 2.29730i −0.361491 0.177241i
\(169\) 3.62761 11.1646i 0.279047 0.858819i
\(170\) −3.85752 + 8.23030i −0.295858 + 0.631235i
\(171\) 10.5717 7.15135i 0.808436 0.546877i
\(172\) −1.53852 + 18.4314i −0.117311 + 1.40538i
\(173\) 9.69853 + 7.04639i 0.737365 + 0.535727i 0.891885 0.452263i \(-0.149383\pi\)
−0.154520 + 0.987990i \(0.549383\pi\)
\(174\) 0.317069 5.42103i 0.0240370 0.410967i
\(175\) −0.874739 + 5.25362i −0.0661241 + 0.397137i
\(176\) 10.5402 + 10.7420i 0.794501 + 0.809709i
\(177\) 9.57139 + 5.08096i 0.719430 + 0.381908i
\(178\) −11.6046 + 1.34561i −0.869798 + 0.100858i
\(179\) 0.944989 + 2.90838i 0.0706318 + 0.217382i 0.980141 0.198301i \(-0.0635424\pi\)
−0.909509 + 0.415684i \(0.863542\pi\)
\(180\) 13.4044 + 0.566794i 0.999107 + 0.0422464i
\(181\) −2.51625 + 7.74423i −0.187032 + 0.575624i −0.999977 0.00671533i \(-0.997862\pi\)
0.812946 + 0.582339i \(0.197862\pi\)
\(182\) −0.333920 + 1.65818i −0.0247518 + 0.122913i
\(183\) −1.01415 + 5.77417i −0.0749679 + 0.426839i
\(184\) 0.619047 + 19.2424i 0.0456367 + 1.41857i
\(185\) −25.8206 6.30708i −1.89837 0.463705i
\(186\) 0.589876 0.719474i 0.0432518 0.0527544i
\(187\) 8.74898 6.35651i 0.639789 0.464834i
\(188\) −3.61376 15.3731i −0.263561 1.12119i
\(189\) 5.41624 + 1.13987i 0.393974 + 0.0829131i
\(190\) −12.1820 5.70969i −0.883777 0.414224i
\(191\) 14.4015 10.4633i 1.04205 0.757096i 0.0713681 0.997450i \(-0.477264\pi\)
0.970685 + 0.240354i \(0.0772635\pi\)
\(192\) 13.5673 2.81552i 0.979139 0.203192i
\(193\) 13.9013i 1.00064i −0.865841 0.500318i \(-0.833216\pi\)
0.865841 0.500318i \(-0.166784\pi\)
\(194\) 14.2788 + 8.04101i 1.02516 + 0.577311i
\(195\) −0.927304 4.24877i −0.0664056 0.304261i
\(196\) 0.975805 11.6901i 0.0697003 0.835006i
\(197\) −6.96834 21.4464i −0.496474 1.52799i −0.814647 0.579957i \(-0.803069\pi\)
0.318173 0.948033i \(-0.396931\pi\)
\(198\) −13.6379 8.29489i −0.969205 0.589492i
\(199\) 2.15680i 0.152892i 0.997074 + 0.0764458i \(0.0243572\pi\)
−0.997074 + 0.0764458i \(0.975643\pi\)
\(200\) −6.72406 12.4413i −0.475463 0.879736i
\(201\) 15.6028 2.20350i 1.10053 0.155423i
\(202\) 10.5320 9.68953i 0.741032 0.681753i
\(203\) −2.24585 + 0.729722i −0.157628 + 0.0512164i
\(204\) −0.567416 9.94082i −0.0397271 0.695997i
\(205\) −10.3944 2.53898i −0.725973 0.177330i
\(206\) 9.61837 17.0798i 0.670144 1.19000i
\(207\) −5.65490 19.6215i −0.393043 1.36379i
\(208\) −2.00103 4.02102i −0.138746 0.278808i
\(209\) 9.40855 + 12.9498i 0.650803 + 0.895754i
\(210\) −1.89234 5.51887i −0.130584 0.380838i
\(211\) −9.99024 + 13.7504i −0.687756 + 0.946615i −0.999994 0.00338856i \(-0.998921\pi\)
0.312238 + 0.950004i \(0.398921\pi\)
\(212\) −11.6114 + 2.72951i −0.797476 + 0.187464i
\(213\) 6.28258 6.07517i 0.430475 0.416264i
\(214\) −3.77941 + 3.47707i −0.258355 + 0.237688i
\(215\) −15.7771 + 13.3674i −1.07599 + 0.911650i
\(216\) −13.2142 + 6.43302i −0.899115 + 0.437712i
\(217\) −0.384782 0.125023i −0.0261207 0.00848714i
\(218\) −14.2395 2.86751i −0.964421 0.194212i
\(219\) −2.76215 0.485131i −0.186649 0.0327821i
\(220\) −0.146289 + 16.8252i −0.00986279 + 1.13436i
\(221\) −3.06949 + 0.997338i −0.206476 + 0.0670882i
\(222\) 28.1697 7.36531i 1.89063 0.494327i
\(223\) −1.28119 0.930840i −0.0857949 0.0623336i 0.544061 0.839046i \(-0.316886\pi\)
−0.629856 + 0.776712i \(0.716886\pi\)
\(224\) −3.28805 5.04944i −0.219692 0.337380i
\(225\) 10.1577 + 11.0372i 0.677181 + 0.735816i
\(226\) 12.4350 + 2.50413i 0.827166 + 0.166572i
\(227\) −2.98415 + 4.10733i −0.198065 + 0.272613i −0.896484 0.443076i \(-0.853887\pi\)
0.698419 + 0.715689i \(0.253887\pi\)
\(228\) 14.7139 0.839859i 0.974449 0.0556210i
\(229\) −4.27109 13.1451i −0.282242 0.868650i −0.987212 0.159414i \(-0.949040\pi\)
0.704970 0.709237i \(-0.250960\pi\)
\(230\) −14.7107 + 15.7134i −0.969994 + 1.03611i
\(231\) −1.20078 + 6.83679i −0.0790056 + 0.449828i
\(232\) 3.52061 5.18872i 0.231139 0.340656i
\(233\) 2.07923 6.39921i 0.136215 0.419226i −0.859562 0.511031i \(-0.829264\pi\)
0.995777 + 0.0918049i \(0.0292636\pi\)
\(234\) 3.10594 + 3.61212i 0.203042 + 0.236132i
\(235\) 9.28474 15.0177i 0.605670 0.979646i
\(236\) 6.48728 + 10.6998i 0.422286 + 0.696497i
\(237\) −16.4641 17.0262i −1.06946 1.10597i
\(238\) −3.93647 + 1.80344i −0.255164 + 0.116900i
\(239\) −11.6229 8.44456i −0.751825 0.546233i 0.144567 0.989495i \(-0.453821\pi\)
−0.896392 + 0.443262i \(0.853821\pi\)
\(240\) 12.9585 + 8.48989i 0.836465 + 0.548020i
\(241\) −19.7088 + 14.3193i −1.26955 + 0.922385i −0.999185 0.0403719i \(-0.987146\pi\)
−0.270369 + 0.962757i \(0.587146\pi\)
\(242\) 2.18969 3.88832i 0.140758 0.249951i
\(243\) 11.9078 10.0601i 0.763884 0.645354i
\(244\) −4.42078 + 5.12666i −0.283012 + 0.328201i
\(245\) 10.0066 8.47825i 0.639299 0.541655i
\(246\) 11.3400 2.96498i 0.723012 0.189040i
\(247\) −1.47621 4.54329i −0.0939287 0.289083i
\(248\) 1.01052 0.364659i 0.0641681 0.0231559i
\(249\) 3.76368 + 26.6502i 0.238513 + 1.68889i
\(250\) 4.50801 15.1551i 0.285111 0.958494i
\(251\) −14.4153 −0.909884 −0.454942 0.890521i \(-0.650340\pi\)
−0.454942 + 0.890521i \(0.650340\pi\)
\(252\) 4.69734 + 4.33378i 0.295905 + 0.273002i
\(253\) 24.3560 7.91375i 1.53125 0.497533i
\(254\) 1.51633 + 13.0768i 0.0951430 + 0.820514i
\(255\) 7.40380 8.31331i 0.463644 0.520600i
\(256\) 15.1204 + 5.23188i 0.945027 + 0.326992i
\(257\) −26.6349 −1.66144 −0.830718 0.556693i \(-0.812070\pi\)
−0.830718 + 0.556693i \(0.812070\pi\)
\(258\) 8.24592 21.0982i 0.513368 1.31351i
\(259\) −7.44238 10.2436i −0.462447 0.636503i
\(260\) 1.59321 4.76210i 0.0988064 0.295333i
\(261\) −2.26629 + 6.25269i −0.140280 + 0.387032i
\(262\) 9.47939 4.34285i 0.585639 0.268302i
\(263\) −8.91474 12.2701i −0.549707 0.756606i 0.440266 0.897867i \(-0.354884\pi\)
−0.989972 + 0.141261i \(0.954884\pi\)
\(264\) −8.61940 16.2922i −0.530488 1.00272i
\(265\) −11.3430 7.01286i −0.696796 0.430797i
\(266\) −2.66935 5.82655i −0.163668 0.357249i
\(267\) 14.0921 + 2.47508i 0.862425 + 0.151472i
\(268\) 16.7771 + 7.04264i 1.02482 + 0.430198i
\(269\) −15.2945 4.96949i −0.932523 0.302995i −0.196929 0.980418i \(-0.563097\pi\)
−0.735594 + 0.677423i \(0.763097\pi\)
\(270\) −15.5367 5.34882i −0.945535 0.325519i
\(271\) 13.2406 4.30213i 0.804308 0.261336i 0.122123 0.992515i \(-0.461030\pi\)
0.682185 + 0.731179i \(0.261030\pi\)
\(272\) 5.31657 10.1943i 0.322364 0.618119i
\(273\) 0.971339 1.82978i 0.0587881 0.110744i
\(274\) −11.6871 2.35352i −0.706045 0.142181i
\(275\) −13.4068 + 13.1964i −0.808460 + 0.795772i
\(276\) 5.99659 22.8039i 0.360952 1.37263i
\(277\) −9.08309 + 12.5018i −0.545750 + 0.751161i −0.989428 0.145026i \(-0.953673\pi\)
0.443678 + 0.896186i \(0.353673\pi\)
\(278\) 6.12300 0.709994i 0.367233 0.0425826i
\(279\) −0.943808 + 0.638451i −0.0565043 + 0.0382231i
\(280\) 1.38732 6.59246i 0.0829082 0.393975i
\(281\) 22.8613 + 7.42807i 1.36379 + 0.443122i 0.897306 0.441409i \(-0.145521\pi\)
0.466482 + 0.884530i \(0.345521\pi\)
\(282\) −1.12932 + 19.3083i −0.0672498 + 1.14979i
\(283\) 7.43523 22.8833i 0.441978 1.36027i −0.443785 0.896133i \(-0.646365\pi\)
0.885764 0.464137i \(-0.153635\pi\)
\(284\) 9.82371 2.30927i 0.582930 0.137030i
\(285\) 12.3049 + 10.9587i 0.728880 + 0.649137i
\(286\) −4.39678 + 4.04506i −0.259987 + 0.239190i
\(287\) −2.99601 4.12365i −0.176849 0.243411i
\(288\) −16.9097 1.43542i −0.996416 0.0845832i
\(289\) 7.06934 + 5.13617i 0.415843 + 0.302128i
\(290\) 6.88429 1.32417i 0.404260 0.0777577i
\(291\) −13.9516 14.4279i −0.817857 0.845780i
\(292\) −2.45241 2.11474i −0.143516 0.123756i
\(293\) −10.1696 −0.594114 −0.297057 0.954860i \(-0.596005\pi\)
−0.297057 + 0.954860i \(0.596005\pi\)
\(294\) −5.22995 + 13.3814i −0.305017 + 0.780422i
\(295\) −3.31961 + 13.5902i −0.193275 + 0.791251i
\(296\) 32.2930 + 9.35594i 1.87699 + 0.543803i
\(297\) 13.1106 + 14.5020i 0.760756 + 0.841493i
\(298\) −0.386827 + 0.355883i −0.0224083 + 0.0206157i
\(299\) −7.64294 −0.442002
\(300\) 3.54604 + 16.9536i 0.204730 + 0.978818i
\(301\) −9.85063 −0.567781
\(302\) 22.4919 20.6927i 1.29427 1.19073i
\(303\) −15.7485 + 7.69416i −0.904729 + 0.442018i
\(304\) 15.0890 + 7.86929i 0.865414 + 0.451335i
\(305\) −7.54748 + 0.563978i −0.432167 + 0.0322933i
\(306\) −2.80725 + 11.8673i −0.160480 + 0.678407i
\(307\) 3.03270 0.173086 0.0865428 0.996248i \(-0.472418\pi\)
0.0865428 + 0.996248i \(0.472418\pi\)
\(308\) −5.23434 + 6.07013i −0.298254 + 0.345878i
\(309\) −17.2582 + 16.6884i −0.981783 + 0.949371i
\(310\) 1.08758 + 0.509744i 0.0617701 + 0.0289515i
\(311\) 22.9523 + 16.6759i 1.30151 + 0.945601i 0.999969 0.00785286i \(-0.00249967\pi\)
0.301539 + 0.953454i \(0.402500\pi\)
\(312\) 0.943962 + 5.41923i 0.0534413 + 0.306803i
\(313\) 0.692098 + 0.952591i 0.0391197 + 0.0538436i 0.828129 0.560538i \(-0.189406\pi\)
−0.789009 + 0.614382i \(0.789406\pi\)
\(314\) −3.96411 + 3.64700i −0.223707 + 0.205812i
\(315\) 0.293033 + 7.13950i 0.0165105 + 0.402265i
\(316\) −6.25826 26.6228i −0.352055 1.49765i
\(317\) 0.153474 0.472345i 0.00861997 0.0265295i −0.946654 0.322252i \(-0.895560\pi\)
0.955274 + 0.295722i \(0.0955603\pi\)
\(318\) 14.5837 + 0.852985i 0.817816 + 0.0478330i
\(319\) −7.93261 2.57746i −0.444141 0.144310i
\(320\) 7.83023 + 16.0838i 0.437723 + 0.899110i
\(321\) 5.65134 2.76104i 0.315427 0.154106i
\(322\) −10.1854 + 1.18106i −0.567612 + 0.0658176i
\(323\) 7.18785 9.89322i 0.399942 0.550474i
\(324\) 17.7592 2.93435i 0.986623 0.163020i
\(325\) 5.02234 2.50918i 0.278589 0.139184i
\(326\) 12.8806 + 2.59386i 0.713392 + 0.143661i
\(327\) 15.7131 + 8.34129i 0.868937 + 0.461275i
\(328\) 12.9999 + 3.76633i 0.717799 + 0.207961i
\(329\) 7.99913 2.59908i 0.441006 0.143292i
\(330\) 6.05043 19.6991i 0.333065 1.08440i
\(331\) 5.77818 + 1.87744i 0.317597 + 0.103194i 0.463478 0.886109i \(-0.346601\pi\)
−0.145880 + 0.989302i \(0.546601\pi\)
\(332\) −12.0291 + 28.6560i −0.660184 + 1.57270i
\(333\) −35.6404 1.19670i −1.95308 0.0655789i
\(334\) −11.2467 24.5489i −0.615395 1.34326i
\(335\) 7.71053 + 18.8251i 0.421271 + 1.02852i
\(336\) 2.09541 + 7.07612i 0.114314 + 0.386034i
\(337\) 5.19448 + 7.14958i 0.282961 + 0.389463i 0.926712 0.375773i \(-0.122623\pi\)
−0.643751 + 0.765235i \(0.722623\pi\)
\(338\) −15.0932 + 6.91473i −0.820961 + 0.376112i
\(339\) −13.7219 7.28426i −0.745272 0.395627i
\(340\) 12.2594 3.86580i 0.664857 0.209652i
\(341\) −0.839968 1.15612i −0.0454868 0.0626072i
\(342\) −17.5653 4.15514i −0.949822 0.224684i
\(343\) 13.7041 0.739950
\(344\) 20.6559 16.0470i 1.11369 0.865194i
\(345\) 22.7584 13.3052i 1.22527 0.716330i
\(346\) −1.95278 16.8408i −0.104982 0.905367i
\(347\) −29.8214 + 9.68958i −1.60090 + 0.520164i −0.967330 0.253522i \(-0.918411\pi\)
−0.633570 + 0.773686i \(0.718411\pi\)
\(348\) −5.94560 + 4.86067i −0.318717 + 0.260560i
\(349\) 10.4112 0.557300 0.278650 0.960393i \(-0.410113\pi\)
0.278650 + 0.960393i \(0.410113\pi\)
\(350\) 6.30533 4.11998i 0.337034 0.220222i
\(351\) −2.38383 5.32530i −0.127240 0.284243i
\(352\) 1.08752 21.2554i 0.0579650 1.13292i
\(353\) 2.86998 + 8.83290i 0.152754 + 0.470128i 0.997926 0.0643656i \(-0.0205024\pi\)
−0.845173 + 0.534494i \(0.820502\pi\)
\(354\) −3.87659 14.8266i −0.206038 0.788024i
\(355\) 9.59662 + 5.93315i 0.509336 + 0.314899i
\(356\) 12.5119 + 10.7891i 0.663128 + 0.571823i
\(357\) 5.25094 0.741565i 0.277909 0.0392478i
\(358\) 2.12209 3.76829i 0.112156 0.199161i
\(359\) −20.5019 + 14.8955i −1.08205 + 0.786155i −0.978039 0.208422i \(-0.933167\pi\)
−0.104010 + 0.994576i \(0.533167\pi\)
\(360\) −12.2449 14.4935i −0.645364 0.763875i
\(361\) −0.727921 0.528866i −0.0383116 0.0278350i
\(362\) 10.4692 4.79632i 0.550250 0.252089i
\(363\) −3.92894 + 3.79923i −0.206216 + 0.199408i
\(364\) 2.04550 1.24019i 0.107213 0.0650035i
\(365\) −0.269786 3.61044i −0.0141213 0.188979i
\(366\) 6.98058 4.47331i 0.364881 0.233824i
\(367\) −7.51829 + 23.1389i −0.392451 + 1.20784i 0.538477 + 0.842640i \(0.319000\pi\)
−0.930929 + 0.365201i \(0.881000\pi\)
\(368\) 19.4340 19.0689i 1.01307 0.994037i
\(369\) −14.3474 0.481745i −0.746896 0.0250786i
\(370\) 18.1592 + 32.9121i 0.944053 + 1.71102i
\(371\) −1.96311 6.04183i −0.101920 0.313676i
\(372\) −1.31361 + 0.0749801i −0.0681075 + 0.00388754i
\(373\) −5.54884 + 7.63732i −0.287308 + 0.395445i −0.928137 0.372238i \(-0.878591\pi\)
0.640830 + 0.767683i \(0.278591\pi\)
\(374\) −14.9928 3.01921i −0.775259 0.156120i
\(375\) −10.5869 + 16.2147i −0.546705 + 0.837325i
\(376\) −12.5395 + 18.4808i −0.646674 + 0.953077i
\(377\) 2.01385 + 1.46315i 0.103719 + 0.0753561i
\(378\) −3.99975 6.72844i −0.205725 0.346074i
\(379\) 16.2370 5.27573i 0.834040 0.270996i 0.139294 0.990251i \(-0.455517\pi\)
0.694746 + 0.719255i \(0.255517\pi\)
\(380\) 5.72194 + 18.1456i 0.293529 + 0.930852i
\(381\) 2.78909 15.8800i 0.142890 0.813559i
\(382\) −24.6792 4.96984i −1.26270 0.254279i
\(383\) −26.1325 8.49096i −1.33531 0.433868i −0.447583 0.894242i \(-0.647715\pi\)
−0.887725 + 0.460374i \(0.847715\pi\)
\(384\) −15.9211 11.4245i −0.812470 0.583004i
\(385\) −8.93645 + 0.667767i −0.455443 + 0.0340326i
\(386\) −14.4679 + 13.3106i −0.736398 + 0.677490i
\(387\) −17.0511 + 21.8849i −0.866758 + 1.11247i
\(388\) −5.30323 22.5601i −0.269231 1.14532i
\(389\) 3.37798 4.64939i 0.171270 0.235733i −0.714750 0.699380i \(-0.753459\pi\)
0.886020 + 0.463647i \(0.153459\pi\)
\(390\) −3.53405 + 5.03332i −0.178954 + 0.254872i
\(391\) −11.4999 15.8283i −0.581576 0.800470i
\(392\) −13.1009 + 10.1777i −0.661697 + 0.514053i
\(393\) −12.6448 + 1.78576i −0.637844 + 0.0900796i
\(394\) −15.6483 + 27.7874i −0.788350 + 1.39991i
\(395\) 16.0792 26.0074i 0.809031 1.30857i
\(396\) 4.42539 + 22.1362i 0.222384 + 1.11239i
\(397\) 24.7422 8.03924i 1.24178 0.403478i 0.386809 0.922160i \(-0.373577\pi\)
0.854967 + 0.518682i \(0.173577\pi\)
\(398\) 2.24471 2.06515i 0.112517 0.103517i
\(399\) 1.09762 + 7.77216i 0.0549499 + 0.389094i
\(400\) −6.51014 + 18.9108i −0.325507 + 0.945540i
\(401\) 34.6984i 1.73275i −0.499391 0.866376i \(-0.666443\pi\)
0.499391 0.866376i \(-0.333557\pi\)
\(402\) −17.2330 14.1289i −0.859506 0.704684i
\(403\) 0.131791 + 0.405612i 0.00656499 + 0.0202050i
\(404\) −20.1690 1.68356i −1.00344 0.0837603i
\(405\) 16.3689 + 11.7072i 0.813377 + 0.581737i
\(406\) 2.90988 + 1.63868i 0.144415 + 0.0813265i
\(407\) 44.7227i 2.21682i
\(408\) −9.80271 + 10.1089i −0.485307 + 0.500467i
\(409\) −2.82912 + 2.05548i −0.139891 + 0.101637i −0.655530 0.755169i \(-0.727555\pi\)
0.515639 + 0.856806i \(0.327555\pi\)
\(410\) 7.31018 + 13.2491i 0.361024 + 0.654328i
\(411\) 12.8966 + 6.84614i 0.636142 + 0.337695i
\(412\) −26.9856 + 6.34354i −1.32949 + 0.312524i
\(413\) −5.39149 + 3.91715i −0.265298 + 0.192750i
\(414\) −15.0067 + 24.6731i −0.737542 + 1.21262i
\(415\) −32.1540 + 13.1699i −1.57838 + 0.646486i
\(416\) −2.26893 + 5.93274i −0.111243 + 0.290877i
\(417\) −7.43554 1.30594i −0.364120 0.0639523i
\(418\) 4.46887 22.1915i 0.218579 1.08542i
\(419\) 4.29638 13.2229i 0.209892 0.645981i −0.789585 0.613641i \(-0.789704\pi\)
0.999477 0.0323397i \(-0.0102958\pi\)
\(420\) −3.93190 + 7.25382i −0.191857 + 0.353950i
\(421\) −6.26295 19.2754i −0.305238 0.939425i −0.979588 0.201014i \(-0.935576\pi\)
0.674351 0.738411i \(-0.264424\pi\)
\(422\) 23.8766 2.76861i 1.16229 0.134774i
\(423\) 8.07194 22.2704i 0.392471 1.08282i
\(424\) 13.9588 + 9.47120i 0.677898 + 0.459962i
\(425\) 12.7533 + 6.62568i 0.618624 + 0.321393i
\(426\) −12.3384 0.721657i −0.597797 0.0349644i
\(427\) −2.91683 2.11920i −0.141155 0.102555i
\(428\) 7.23761 + 0.604144i 0.349843 + 0.0292024i
\(429\) 6.57450 3.21206i 0.317420 0.155080i
\(430\) 29.0190 + 3.62086i 1.39942 + 0.174614i
\(431\) −2.67383 + 8.22920i −0.128794 + 0.396386i −0.994573 0.104039i \(-0.966823\pi\)
0.865779 + 0.500426i \(0.166823\pi\)
\(432\) 19.3479 + 7.59322i 0.930879 + 0.365329i
\(433\) 31.8729 + 10.3561i 1.53172 + 0.497684i 0.949076 0.315047i \(-0.102020\pi\)
0.582639 + 0.812731i \(0.302020\pi\)
\(434\) 0.238312 + 0.520177i 0.0114393 + 0.0249693i
\(435\) −8.54378 0.850994i −0.409643 0.0408020i
\(436\) 10.6500 + 17.5656i 0.510043 + 0.841239i
\(437\) 23.4281 17.0215i 1.12072 0.814251i
\(438\) 2.13987 + 3.33925i 0.102247 + 0.159556i
\(439\) 11.4376 15.7426i 0.545889 0.751351i −0.443559 0.896245i \(-0.646284\pi\)
0.989447 + 0.144894i \(0.0462842\pi\)
\(440\) 17.6511 15.9580i 0.841483 0.760767i
\(441\) 10.8146 13.8805i 0.514982 0.660974i
\(442\) 3.97705 + 2.23965i 0.189169 + 0.106529i
\(443\) 13.0563i 0.620325i 0.950684 + 0.310163i \(0.100384\pi\)
−0.950684 + 0.310163i \(0.899616\pi\)
\(444\) −34.6382 22.2656i −1.64385 1.05668i
\(445\) 1.37642 + 18.4200i 0.0652484 + 0.873192i
\(446\) 0.257965 + 2.22470i 0.0122150 + 0.105343i
\(447\) 0.578422 0.282596i 0.0273584 0.0133663i
\(448\) −2.10693 + 8.25694i −0.0995431 + 0.390104i
\(449\) 18.7063i 0.882806i −0.897309 0.441403i \(-0.854481\pi\)
0.897309 0.441403i \(-0.145519\pi\)
\(450\) 1.76107 21.1400i 0.0830176 0.996548i
\(451\) 18.0036i 0.847755i
\(452\) −9.30041 15.3396i −0.437454 0.721515i
\(453\) −33.6321 + 16.4314i −1.58018 + 0.772016i
\(454\) 7.13209 0.827004i 0.334726 0.0388132i
\(455\) 2.59806 + 0.634616i 0.121799 + 0.0297513i
\(456\) −14.9627 14.5094i −0.700692 0.679467i
\(457\) 35.1109i 1.64242i 0.570627 + 0.821210i \(0.306700\pi\)
−0.570627 + 0.821210i \(0.693300\pi\)
\(458\) −9.59128 + 17.0317i −0.448171 + 0.795837i
\(459\) 7.44170 12.9495i 0.347349 0.604432i
\(460\) 30.4394 + 0.264659i 1.41925 + 0.0123398i
\(461\) −3.62536 + 4.98988i −0.168850 + 0.232402i −0.885053 0.465490i \(-0.845878\pi\)
0.716203 + 0.697892i \(0.245878\pi\)
\(462\) 8.26522 5.29654i 0.384533 0.246417i
\(463\) −14.6195 + 10.6217i −0.679425 + 0.493631i −0.873167 0.487421i \(-0.837938\pi\)
0.193742 + 0.981053i \(0.437938\pi\)
\(464\) −8.77122 + 1.30411i −0.407194 + 0.0605419i
\(465\) −1.09855 0.978360i −0.0509438 0.0453703i
\(466\) −8.65092 + 3.96330i −0.400746 + 0.183596i
\(467\) 30.6430 + 9.95653i 1.41799 + 0.460733i 0.914963 0.403537i \(-0.132219\pi\)
0.503028 + 0.864270i \(0.332219\pi\)
\(468\) 0.785403 6.69117i 0.0363053 0.309299i
\(469\) −2.99460 + 9.21642i −0.138278 + 0.425575i
\(470\) −24.5200 + 4.71632i −1.13102 + 0.217548i
\(471\) 5.92752 2.89597i 0.273126 0.133439i
\(472\) 4.92432 16.9968i 0.226660 0.782341i
\(473\) −28.1486 20.4511i −1.29427 0.940344i
\(474\) −1.95573 + 33.4378i −0.0898298 + 1.53585i
\(475\) −9.80697 + 18.8767i −0.449975 + 0.866122i
\(476\) 5.64614 + 2.37012i 0.258790 + 0.108634i
\(477\) −16.8211 6.09682i −0.770184 0.279154i
\(478\) 2.34026 + 20.1824i 0.107041 + 0.923122i
\(479\) 3.14794 + 9.68838i 0.143833 + 0.442673i 0.996859 0.0791954i \(-0.0252351\pi\)
−0.853026 + 0.521869i \(0.825235\pi\)
\(480\) −3.57185 21.6158i −0.163032 0.986621i
\(481\) −4.12449 + 12.6939i −0.188061 + 0.578791i
\(482\) 33.7742 + 6.80135i 1.53837 + 0.309793i
\(483\) 12.3688 + 2.17240i 0.562801 + 0.0988476i
\(484\) −6.14345 + 1.44415i −0.279248 + 0.0656432i
\(485\) 13.6254 22.0386i 0.618700 1.00072i
\(486\) −21.8719 2.76056i −0.992129 0.125222i
\(487\) 4.70083 3.41535i 0.213015 0.154764i −0.476162 0.879358i \(-0.657972\pi\)
0.689177 + 0.724593i \(0.257972\pi\)
\(488\) 9.56855 0.307830i 0.433148 0.0139348i
\(489\) −14.2136 7.54528i −0.642761 0.341209i
\(490\) −18.4052 2.29652i −0.831463 0.103746i
\(491\) 15.1802 11.0290i 0.685071 0.497734i −0.189965 0.981791i \(-0.560837\pi\)
0.875036 + 0.484057i \(0.160837\pi\)
\(492\) −13.9440 8.96325i −0.628642 0.404095i
\(493\) 6.37215i 0.286987i
\(494\) −3.31501 + 5.88660i −0.149149 + 0.264851i
\(495\) −13.9851 + 21.0098i −0.628585 + 0.944320i
\(496\) −1.34710 0.702547i −0.0604866 0.0315453i
\(497\) 1.66086 + 5.11161i 0.0744999 + 0.229287i
\(498\) 24.1327 29.4348i 1.08141 1.31900i
\(499\) 12.9825i 0.581176i 0.956848 + 0.290588i \(0.0938510\pi\)
−0.956848 + 0.290588i \(0.906149\pi\)
\(500\) −20.0893 + 9.81936i −0.898421 + 0.439135i
\(501\) 4.62461 + 32.7463i 0.206612 + 1.46300i
\(502\) 13.8027 + 15.0029i 0.616045 + 0.669611i
\(503\) 16.8618 5.47872i 0.751828 0.244284i 0.0920606 0.995753i \(-0.470655\pi\)
0.659768 + 0.751470i \(0.270655\pi\)
\(504\) 0.0126953 9.03843i 0.000565494 0.402603i
\(505\) −14.6276 17.2645i −0.650918 0.768258i
\(506\) −31.5573 17.7713i −1.40289 0.790032i
\(507\) 20.1331 2.84330i 0.894143 0.126276i
\(508\) 12.1580 14.0993i 0.539423 0.625555i
\(509\) −7.18389 9.88778i −0.318420 0.438268i 0.619564 0.784946i \(-0.287310\pi\)
−0.937984 + 0.346678i \(0.887310\pi\)
\(510\) −15.7413 + 0.254453i −0.697038 + 0.0112674i
\(511\) 1.01375 1.39530i 0.0448455 0.0617246i
\(512\) −9.03276 20.7463i −0.399195 0.916866i
\(513\) 19.1672 + 11.0148i 0.846252 + 0.486315i
\(514\) 25.5030 + 27.7205i 1.12489 + 1.22270i
\(515\) −26.3618 16.2983i −1.16164 0.718188i
\(516\) −29.8536 + 11.6196i −1.31423 + 0.511523i
\(517\) 28.2539 + 9.18023i 1.24260 + 0.403746i
\(518\) −3.53498 + 17.5540i −0.155318 + 0.771278i
\(519\) −3.59189 + 20.4509i −0.157666 + 0.897693i
\(520\) −6.48171 + 2.90159i −0.284242 + 0.127243i
\(521\) −24.6446 + 8.00751i −1.07970 + 0.350815i −0.794258 0.607581i \(-0.792140\pi\)
−0.285441 + 0.958396i \(0.592140\pi\)
\(522\) 8.67754 3.62831i 0.379806 0.158807i
\(523\) −20.8125 15.1212i −0.910066 0.661202i 0.0309652 0.999520i \(-0.490142\pi\)
−0.941032 + 0.338318i \(0.890142\pi\)
\(524\) −13.5964 5.70748i −0.593963 0.249332i
\(525\) −8.84102 + 2.63315i −0.385854 + 0.114920i
\(526\) −4.23432 + 21.0268i −0.184625 + 0.916812i
\(527\) −0.641709 + 0.883237i −0.0279533 + 0.0384744i
\(528\) −8.70319 + 24.5706i −0.378758 + 1.06930i
\(529\) −7.20982 22.1895i −0.313470 0.964762i
\(530\) 3.56229 + 18.5202i 0.154736 + 0.804467i
\(531\) −0.629861 + 18.7586i −0.0273337 + 0.814055i
\(532\) −3.50813 + 8.35711i −0.152097 + 0.362327i
\(533\) −1.66036 + 5.11005i −0.0719181 + 0.221341i
\(534\) −10.9173 17.0365i −0.472440 0.737240i
\(535\) 5.24908 + 6.19533i 0.226938 + 0.267847i
\(536\) −8.73442 24.2043i −0.377270 1.04547i
\(537\) −3.80765 + 3.68195i −0.164312 + 0.158888i
\(538\) 9.47253 + 20.6762i 0.408390 + 0.891416i
\(539\) 17.8532 + 12.9711i 0.768990 + 0.558704i
\(540\) 9.30966 + 21.2916i 0.400624 + 0.916243i
\(541\) 6.60000 4.79518i 0.283756 0.206161i −0.436798 0.899560i \(-0.643888\pi\)
0.720554 + 0.693399i \(0.243888\pi\)
\(542\) −17.1554 9.66097i −0.736888 0.414974i
\(543\) −13.9651 + 1.97222i −0.599300 + 0.0846362i
\(544\) −15.7004 + 4.22780i −0.673151 + 0.181265i
\(545\) −5.44972 + 22.3107i −0.233440 + 0.955684i
\(546\) −2.83443 + 0.741096i −0.121302 + 0.0317160i
\(547\) 3.33780 + 10.2727i 0.142714 + 0.439228i 0.996710 0.0810512i \(-0.0258277\pi\)
−0.853996 + 0.520280i \(0.825828\pi\)
\(548\) 8.74103 + 14.4170i 0.373398 + 0.615864i
\(549\) −9.75711 + 2.81198i −0.416423 + 0.120013i
\(550\) 26.5713 + 1.31766i 1.13301 + 0.0561850i
\(551\) −9.43170 −0.401804
\(552\) −29.4752 + 15.5938i −1.25455 + 0.663718i
\(553\) 13.8528 4.50104i 0.589080 0.191404i
\(554\) 21.7085 2.51722i 0.922306 0.106946i
\(555\) −9.81671 44.9787i −0.416696 1.90924i
\(556\) −6.60173 5.69275i −0.279976 0.241426i
\(557\) −11.5067 −0.487554 −0.243777 0.969831i \(-0.578386\pi\)
−0.243777 + 0.969831i \(0.578386\pi\)
\(558\) 1.56818 + 0.370958i 0.0663862 + 0.0157039i
\(559\) 6.10348 + 8.40073i 0.258150 + 0.355313i
\(560\) −8.18954 + 4.86845i −0.346071 + 0.205729i
\(561\) 16.5444 + 8.78256i 0.698504 + 0.370800i
\(562\) −14.1589 30.9055i −0.597258 1.30367i
\(563\) 19.9046 + 27.3963i 0.838878 + 1.15462i 0.986205 + 0.165529i \(0.0529331\pi\)
−0.147327 + 0.989088i \(0.547067\pi\)
\(564\) 21.1766 17.3124i 0.891697 0.728985i
\(565\) 4.75911 19.4834i 0.200217 0.819673i
\(566\) −30.9353 + 14.1726i −1.30031 + 0.595717i
\(567\) 2.34419 + 9.29568i 0.0984469 + 0.390382i
\(568\) −11.8096 8.01299i −0.495522 0.336218i
\(569\) 28.3556 + 9.21329i 1.18873 + 0.386241i 0.835603 0.549334i \(-0.185119\pi\)
0.353126 + 0.935576i \(0.385119\pi\)
\(570\) −0.376627 23.2995i −0.0157752 0.975907i
\(571\) 21.9256 7.12405i 0.917557 0.298132i 0.188093 0.982151i \(-0.439769\pi\)
0.729464 + 0.684019i \(0.239769\pi\)
\(572\) 8.41989 + 0.702832i 0.352053 + 0.0293869i
\(573\) 27.2332 + 14.4567i 1.13769 + 0.603939i
\(574\) −1.42304 + 7.06654i −0.0593966 + 0.294952i
\(575\) 23.8743 + 24.2550i 0.995628 + 1.01150i
\(576\) 14.6972 + 18.9734i 0.612385 + 0.790560i
\(577\) 18.9329 26.0589i 0.788186 1.08484i −0.206146 0.978521i \(-0.566092\pi\)
0.994332 0.106323i \(-0.0339079\pi\)
\(578\) −1.42340 12.2754i −0.0592055 0.510589i
\(579\) 21.6338 10.5695i 0.899072 0.439254i
\(580\) −7.96989 5.89701i −0.330931 0.244860i
\(581\) −15.7420 5.11490i −0.653090 0.212202i
\(582\) −1.65728 + 28.3351i −0.0686966 + 1.17453i
\(583\) 6.93393 21.3404i 0.287174 0.883830i
\(584\) 0.147255 + 4.57725i 0.00609345 + 0.189408i
\(585\) 5.90708 4.67356i 0.244228 0.193228i
\(586\) 9.73744 + 10.5841i 0.402250 + 0.437226i
\(587\) 16.0298 + 22.0631i 0.661621 + 0.910643i 0.999534 0.0305344i \(-0.00972091\pi\)
−0.337913 + 0.941177i \(0.609721\pi\)
\(588\) 18.9346 7.36968i 0.780849 0.303920i
\(589\) −1.30732 0.949823i −0.0538672 0.0391368i
\(590\) 17.3227 9.55775i 0.713163 0.393486i
\(591\) 28.0776 27.1507i 1.15496 1.11683i
\(592\) −21.1834 42.5677i −0.870634 1.74952i
\(593\) 41.0713 1.68660 0.843299 0.537445i \(-0.180611\pi\)
0.843299 + 0.537445i \(0.180611\pi\)
\(594\) 2.53963 27.5308i 0.104202 1.12960i
\(595\) 2.59490 + 6.33538i 0.106380 + 0.259725i
\(596\) 0.740778 + 0.0618349i 0.0303435 + 0.00253285i
\(597\) −3.35651 + 1.63987i −0.137373 + 0.0671154i
\(598\) 7.31815 + 7.95447i 0.299261 + 0.325282i
\(599\) −9.65061 −0.394313 −0.197157 0.980372i \(-0.563171\pi\)
−0.197157 + 0.980372i \(0.563171\pi\)
\(600\) 14.2493 19.9238i 0.581727 0.813384i
\(601\) −20.7168 −0.845054 −0.422527 0.906350i \(-0.638857\pi\)
−0.422527 + 0.906350i \(0.638857\pi\)
\(602\) 9.43203 + 10.2521i 0.384421 + 0.417846i
\(603\) 15.2924 + 22.6064i 0.622753 + 0.920602i
\(604\) −43.0723 3.59537i −1.75259 0.146293i
\(605\) −6.00144 3.71041i −0.243993 0.150850i
\(606\) 23.0871 + 9.02326i 0.937848 + 0.366545i
\(607\) 13.9554 0.566431 0.283216 0.959056i \(-0.408599\pi\)
0.283216 + 0.959056i \(0.408599\pi\)
\(608\) −6.25775 23.2389i −0.253785 0.942463i
\(609\) −2.84321 2.94028i −0.115213 0.119146i
\(610\) 7.81372 + 7.31511i 0.316368 + 0.296180i
\(611\) −7.17281 5.21135i −0.290181 0.210829i
\(612\) 15.0390 8.44130i 0.607914 0.341219i
\(613\) −0.153307 0.211009i −0.00619200 0.00852256i 0.805910 0.592038i \(-0.201677\pi\)
−0.812102 + 0.583516i \(0.801677\pi\)
\(614\) −2.90383 3.15632i −0.117189 0.127379i
\(615\) −3.95182 18.1066i −0.159353 0.730130i
\(616\) 11.3295 0.364481i 0.456477 0.0146853i
\(617\) −0.797927 + 2.45577i −0.0321233 + 0.0988655i −0.965833 0.259167i \(-0.916552\pi\)
0.933709 + 0.358032i \(0.116552\pi\)
\(618\) 33.8934 + 1.98238i 1.36339 + 0.0797432i
\(619\) 42.5094 + 13.8121i 1.70860 + 0.555157i 0.990099 0.140371i \(-0.0448295\pi\)
0.718499 + 0.695528i \(0.244829\pi\)
\(620\) −0.510838 1.61999i −0.0205157 0.0650603i
\(621\) 26.2364 23.7192i 1.05283 0.951818i
\(622\) −4.62141 39.8551i −0.185302 1.59805i
\(623\) −5.17201 + 7.11866i −0.207212 + 0.285203i
\(624\) 4.73627 6.17138i 0.189603 0.247053i
\(625\) −23.6512 8.10053i −0.946050 0.324021i
\(626\) 0.328732 1.63242i 0.0131388 0.0652446i
\(627\) −12.9995 + 24.4881i −0.519149 + 0.977959i
\(628\) 7.59130 + 0.633668i 0.302926 + 0.0252861i
\(629\) −32.4945 + 10.5581i −1.29564 + 0.420979i
\(630\) 7.14993 7.14109i 0.284860 0.284508i
\(631\) −2.19977 0.714749i −0.0875715 0.0284537i 0.264904 0.964275i \(-0.414660\pi\)
−0.352475 + 0.935821i \(0.614660\pi\)
\(632\) −21.7157 + 32.0048i −0.863803 + 1.27308i
\(633\) −28.9948 5.09251i −1.15244 0.202409i
\(634\) −0.638550 + 0.292543i −0.0253601 + 0.0116184i
\(635\) 20.7570 1.55104i 0.823716 0.0615513i
\(636\) −13.0763 15.9949i −0.518507 0.634240i
\(637\) −3.87112 5.32814i −0.153379 0.211108i
\(638\) 4.91300 + 10.7239i 0.194507 + 0.424563i
\(639\) 14.2313 + 5.15814i 0.562980 + 0.204053i
\(640\) 9.24187 23.5497i 0.365317 0.930883i
\(641\) 16.9735 + 23.3620i 0.670413 + 0.922745i 0.999770 0.0214611i \(-0.00683180\pi\)
−0.329357 + 0.944206i \(0.606832\pi\)
\(642\) −8.28477 3.23799i −0.326974 0.127793i
\(643\) −28.5484 −1.12584 −0.562920 0.826511i \(-0.690322\pi\)
−0.562920 + 0.826511i \(0.690322\pi\)
\(644\) 10.9818 + 9.46974i 0.432744 + 0.373160i
\(645\) −32.7988 14.3895i −1.29145 0.566588i
\(646\) −17.1789 + 1.99198i −0.675894 + 0.0783735i
\(647\) −15.3388 + 4.98389i −0.603032 + 0.195937i −0.594592 0.804027i \(-0.702687\pi\)
−0.00843998 + 0.999964i \(0.502687\pi\)
\(648\) −20.0585 15.6734i −0.787972 0.615711i
\(649\) −23.5389 −0.923983
\(650\) −7.42037 2.82451i −0.291051 0.110786i
\(651\) −0.0979926 0.693875i −0.00384063 0.0271951i
\(652\) −9.63367 15.8893i −0.377284 0.622272i
\(653\) −6.14191 18.9029i −0.240352 0.739726i −0.996366 0.0851714i \(-0.972856\pi\)
0.756015 0.654555i \(-0.227144\pi\)
\(654\) −6.36410 24.3404i −0.248856 0.951786i
\(655\) −6.24875 15.2562i −0.244159 0.596108i
\(656\) −8.52761 17.1361i −0.332947 0.669051i
\(657\) −1.34515 4.66745i −0.0524793 0.182094i
\(658\) −10.3642 5.83656i −0.404040 0.227533i
\(659\) 34.8156 25.2950i 1.35622 0.985354i 0.357548 0.933895i \(-0.383613\pi\)
0.998675 0.0514590i \(-0.0163872\pi\)
\(660\) −26.2954 + 12.5650i −1.02355 + 0.489091i
\(661\) 16.7406 + 12.1628i 0.651135 + 0.473077i 0.863658 0.504079i \(-0.168168\pi\)
−0.212523 + 0.977156i \(0.568168\pi\)
\(662\) −3.57866 7.81136i −0.139089 0.303597i
\(663\) −3.88592 4.01859i −0.150917 0.156069i
\(664\) 41.3420 14.9188i 1.60438 0.578961i
\(665\) −9.37728 + 3.84082i −0.363635 + 0.148941i
\(666\) 32.8804 + 38.2390i 1.27409 + 1.48173i
\(667\) −4.66303 + 14.3513i −0.180553 + 0.555686i
\(668\) −14.7808 + 35.2109i −0.571885 + 1.36235i
\(669\) 0.474494 2.70159i 0.0183450 0.104450i
\(670\) 12.2095 26.0499i 0.471695 1.00640i
\(671\) −3.93523 12.1114i −0.151918 0.467555i
\(672\) 5.35818 8.95624i 0.206696 0.345495i
\(673\) −18.0086 + 24.7867i −0.694180 + 0.955457i 0.305814 + 0.952091i \(0.401071\pi\)
−0.999994 + 0.00336563i \(0.998929\pi\)
\(674\) 2.46727 12.2520i 0.0950357 0.471928i
\(675\) −9.45351 + 24.1998i −0.363866 + 0.931451i
\(676\) 21.6484 + 9.08751i 0.832630 + 0.349520i
\(677\) 17.9811 + 13.0640i 0.691070 + 0.502092i 0.877012 0.480469i \(-0.159534\pi\)
−0.185942 + 0.982561i \(0.559534\pi\)
\(678\) 5.55762 + 21.2559i 0.213439 + 0.816330i
\(679\) 11.7388 3.81417i 0.450494 0.146374i
\(680\) −15.7618 9.05755i −0.604437 0.347341i
\(681\) −8.66095 1.52117i −0.331888 0.0582913i
\(682\) −0.398967 + 1.98119i −0.0152772 + 0.0758638i
\(683\) 2.21814 + 0.720716i 0.0848746 + 0.0275774i 0.351147 0.936321i \(-0.385792\pi\)
−0.266272 + 0.963898i \(0.585792\pi\)
\(684\) 12.4943 + 22.2598i 0.477733 + 0.851126i
\(685\) −4.47287 + 18.3116i −0.170900 + 0.699648i
\(686\) −13.1217 14.2627i −0.500989 0.544551i
\(687\) 17.2096 16.6414i 0.656585 0.634909i
\(688\) −36.4792 6.13277i −1.39075 0.233810i
\(689\) −3.93619 + 5.41770i −0.149957 + 0.206398i
\(690\) −35.6388 10.9462i −1.35675 0.416714i
\(691\) −14.6482 20.1615i −0.557244 0.766980i 0.433729 0.901043i \(-0.357198\pi\)
−0.990973 + 0.134063i \(0.957198\pi\)
\(692\) −15.6575 + 18.1575i −0.595207 + 0.690246i
\(693\) −11.5527 + 3.32947i −0.438852 + 0.126476i
\(694\) 38.6387 + 21.7592i 1.46671 + 0.825967i
\(695\) −0.726248 9.71908i −0.0275482 0.368666i
\(696\) 10.7517 + 1.53382i 0.407544 + 0.0581394i
\(697\) −13.0810 + 4.25028i −0.495478 + 0.160991i
\(698\) −9.96880 10.8356i −0.377325 0.410133i
\(699\) 11.5396 1.62969i 0.436470 0.0616405i
\(700\) −10.3253 2.61744i −0.390260 0.0989301i
\(701\) 9.33962i 0.352753i −0.984323 0.176376i \(-0.943562\pi\)
0.984323 0.176376i \(-0.0564376\pi\)
\(702\) −3.25983 + 7.58000i −0.123034 + 0.286089i
\(703\) −15.6275 48.0966i −0.589404 1.81400i
\(704\) −23.1631 + 19.2203i −0.872992 + 0.724393i
\(705\) 30.4307 + 3.03101i 1.14609 + 0.114155i
\(706\) 6.44491 11.4445i 0.242558 0.430720i
\(707\) 10.7792i 0.405395i
\(708\) −11.7191 + 18.2311i −0.440430 + 0.685168i
\(709\) 36.3736 26.4270i 1.36604 0.992485i 0.368004 0.929824i \(-0.380041\pi\)
0.998035 0.0626614i \(-0.0199588\pi\)
\(710\) −3.01383 15.6688i −0.113107 0.588040i
\(711\) 13.9789 38.5676i 0.524248 1.44640i
\(712\) −0.751275 23.3525i −0.0281552 0.875173i
\(713\) −2.09159 + 1.51963i −0.0783308 + 0.0569107i
\(714\) −5.79960 4.75492i −0.217044 0.177949i
\(715\) 6.10653 + 7.20735i 0.228371 + 0.269540i
\(716\) −5.95381 + 1.39957i −0.222504 + 0.0523044i
\(717\) 4.30460 24.5088i 0.160758 0.915297i
\(718\) 35.1333 + 7.07506i 1.31116 + 0.264039i
\(719\) −5.63305 + 17.3368i −0.210077 + 0.646552i 0.789389 + 0.613893i \(0.210397\pi\)
−0.999467 + 0.0326586i \(0.989603\pi\)
\(720\) −3.35972 + 26.6217i −0.125209 + 0.992130i
\(721\) −4.56237 14.0415i −0.169912 0.522934i
\(722\) 0.146566 + 1.26398i 0.00545461 + 0.0470406i
\(723\) −37.2694 19.7844i −1.38606 0.735791i
\(724\) −15.0162 6.30345i −0.558071 0.234266i
\(725\) −1.64737 10.9615i −0.0611816 0.407098i
\(726\) 7.71607 + 0.451303i 0.286370 + 0.0167494i
\(727\) 33.0545 + 24.0155i 1.22592 + 0.890686i 0.996578 0.0826588i \(-0.0263412\pi\)
0.229346 + 0.973345i \(0.426341\pi\)
\(728\) −3.24932 0.941393i −0.120428 0.0348903i
\(729\) 24.7097 + 10.8825i 0.915176 + 0.403055i
\(730\) −3.49928 + 3.73780i −0.129514 + 0.138342i
\(731\) −8.21405 + 25.2802i −0.303808 + 0.935023i
\(732\) −11.3396 2.98190i −0.419123 0.110214i
\(733\) 14.0288 + 4.55822i 0.518165 + 0.168362i 0.556412 0.830906i \(-0.312178\pi\)
−0.0382476 + 0.999268i \(0.512178\pi\)
\(734\) 31.2809 14.3309i 1.15460 0.528963i
\(735\) 20.8025 + 9.12653i 0.767313 + 0.336637i
\(736\) −38.4543 1.96749i −1.41745 0.0725228i
\(737\) −27.6916 + 20.1191i −1.02003 + 0.741098i
\(738\) 13.2363 + 15.3935i 0.487236 + 0.566643i
\(739\) −3.77113 + 5.19052i −0.138723 + 0.190936i −0.872726 0.488210i \(-0.837650\pi\)
0.734003 + 0.679147i \(0.237650\pi\)
\(740\) 16.8661 50.4130i 0.620011 1.85322i
\(741\) 5.94809 5.75172i 0.218509 0.211295i
\(742\) −4.40841 + 7.82821i −0.161838 + 0.287383i
\(743\) 0.134545i 0.00493599i −0.999997 0.00246800i \(-0.999214\pi\)
0.999997 0.00246800i \(-0.000785588\pi\)
\(744\) 1.33582 + 1.29536i 0.0489737 + 0.0474902i
\(745\) 0.537250 + 0.634099i 0.0196833 + 0.0232316i
\(746\) 13.2617 1.53776i 0.485544 0.0563014i
\(747\) −38.6127 + 26.1200i −1.41276 + 0.955682i
\(748\) 11.2134 + 18.4948i 0.410003 + 0.676238i
\(749\) 3.86812i 0.141338i
\(750\) 27.0127 4.50726i 0.986363 0.164582i
\(751\) 2.79895i 0.102135i −0.998695 0.0510676i \(-0.983738\pi\)
0.998695 0.0510676i \(-0.0162624\pi\)
\(752\) 31.2408 4.64491i 1.13923 0.169382i
\(753\) −10.9603 22.4337i −0.399416 0.817531i
\(754\) −0.405486 3.49691i −0.0147669 0.127350i
\(755\) −31.2382 36.8695i −1.13688 1.34182i
\(756\) −3.17292 + 10.6053i −0.115398 + 0.385711i
\(757\) 12.7242i 0.462467i −0.972898 0.231234i \(-0.925724\pi\)
0.972898 0.231234i \(-0.0742762\pi\)
\(758\) −21.0378 11.8473i −0.764128 0.430314i
\(759\) 30.8342 + 31.8870i 1.11921 + 1.15742i
\(760\) 13.4065 23.3297i 0.486304 0.846258i
\(761\) 16.0710 22.1199i 0.582575 0.801846i −0.411400 0.911455i \(-0.634960\pi\)
0.993975 + 0.109609i \(0.0349599\pi\)
\(762\) −19.1979 + 12.3024i −0.695467 + 0.445671i
\(763\) −8.85109 + 6.43069i −0.320431 + 0.232807i
\(764\) 18.4581 + 30.4439i 0.667790 + 1.10142i
\(765\) 18.5669 + 5.20132i 0.671286 + 0.188054i
\(766\) 16.1849 + 35.3278i 0.584786 + 1.27645i
\(767\) 6.68118 + 2.17085i 0.241243 + 0.0783847i
\(768\) 3.35436 + 27.5091i 0.121040 + 0.992648i
\(769\) 2.64404 8.13751i 0.0953465 0.293446i −0.891997 0.452041i \(-0.850696\pi\)
0.987344 + 0.158594i \(0.0506962\pi\)
\(770\) 9.25168 + 8.66131i 0.333407 + 0.312132i
\(771\) −20.2512 41.4504i −0.729328 1.49280i
\(772\) 27.7062 + 2.31272i 0.997169 + 0.0832365i
\(773\) −19.0205 13.8192i −0.684121 0.497043i 0.190601 0.981668i \(-0.438956\pi\)
−0.874722 + 0.484624i \(0.838956\pi\)