Properties

Label 224.2.bd.a.37.6
Level $224$
Weight $2$
Character 224.37
Analytic conductor $1.789$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 224.bd (of order \(24\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.78864900528\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{24})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label 37.6
Character \(\chi\) \(=\) 224.37
Dual form 224.2.bd.a.109.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.16516 + 0.801498i) q^{2} +(1.71349 - 2.23306i) q^{3} +(0.715201 - 1.86775i) q^{4} +(1.90405 - 1.46103i) q^{5} +(-0.206695 + 3.97523i) q^{6} +(-0.262719 + 2.63268i) q^{7} +(0.663674 + 2.74946i) q^{8} +(-1.27406 - 4.75485i) q^{9} +O(q^{10})\) \(q+(-1.16516 + 0.801498i) q^{2} +(1.71349 - 2.23306i) q^{3} +(0.715201 - 1.86775i) q^{4} +(1.90405 - 1.46103i) q^{5} +(-0.206695 + 3.97523i) q^{6} +(-0.262719 + 2.63268i) q^{7} +(0.663674 + 2.74946i) q^{8} +(-1.27406 - 4.75485i) q^{9} +(-1.04751 + 3.22843i) q^{10} +(2.49657 - 0.328680i) q^{11} +(-2.94531 - 4.79745i) q^{12} +(-1.76220 + 0.729927i) q^{13} +(-1.80397 - 3.27806i) q^{14} -6.75532i q^{15} +(-2.97698 - 2.67163i) q^{16} +(-5.05929 + 2.92098i) q^{17} +(5.29549 + 4.51901i) q^{18} +(0.908918 - 6.90392i) q^{19} +(-1.36706 - 4.60122i) q^{20} +(5.42875 + 5.09772i) q^{21} +(-2.64547 + 2.38396i) q^{22} +(0.497314 + 1.85600i) q^{23} +(7.27690 + 3.22914i) q^{24} +(0.196710 - 0.734131i) q^{25} +(1.46821 - 2.26288i) q^{26} +(-4.99959 - 2.07090i) q^{27} +(4.72928 + 2.37359i) q^{28} +(3.54360 + 8.55501i) q^{29} +(5.41438 + 7.87103i) q^{30} +(-2.59366 - 4.49234i) q^{31} +(5.60996 + 0.726841i) q^{32} +(3.54388 - 6.13818i) q^{33} +(3.55373 - 7.45843i) q^{34} +(3.34619 + 5.39659i) q^{35} +(-9.79208 - 1.02105i) q^{36} +(-2.70513 + 2.07572i) q^{37} +(4.47444 + 8.77267i) q^{38} +(-1.38953 + 5.18581i) q^{39} +(5.28072 + 4.26547i) q^{40} +(-4.86955 + 4.86955i) q^{41} +(-10.4112 - 1.58853i) q^{42} +(1.94703 - 4.70055i) q^{43} +(1.17166 - 4.89804i) q^{44} +(-9.37286 - 7.19205i) q^{45} +(-2.06703 - 1.76394i) q^{46} +(3.40104 + 1.96359i) q^{47} +(-11.0669 + 2.06996i) q^{48} +(-6.86196 - 1.38331i) q^{49} +(0.359206 + 1.01304i) q^{50} +(-2.14630 + 16.3028i) q^{51} +(0.102994 + 3.81339i) q^{52} +(4.89856 - 0.644908i) q^{53} +(7.48514 - 1.59423i) q^{54} +(4.27339 - 4.27339i) q^{55} +(-7.41280 + 1.02490i) q^{56} +(-13.8594 - 13.8594i) q^{57} +(-10.9857 - 7.12777i) q^{58} +(-0.694133 - 5.27246i) q^{59} +(-12.6172 - 4.83141i) q^{60} +(-7.60241 - 1.00088i) q^{61} +(6.62263 + 3.15549i) q^{62} +(12.8527 - 2.10499i) q^{63} +(-7.11907 + 3.64949i) q^{64} +(-2.28887 + 3.96445i) q^{65} +(0.790550 + 9.99238i) q^{66} +(-4.18604 + 5.45536i) q^{67} +(1.83725 + 11.5386i) q^{68} +(4.99670 + 2.06970i) q^{69} +(-8.22421 - 3.60594i) q^{70} +(7.62970 + 7.62970i) q^{71} +(12.2277 - 6.65864i) q^{72} +(10.2082 + 2.73527i) q^{73} +(1.48823 - 4.58671i) q^{74} +(-1.30230 - 1.69719i) q^{75} +(-12.2447 - 6.63532i) q^{76} +(0.209410 + 6.65901i) q^{77} +(-2.53739 - 7.15602i) q^{78} +(7.49333 + 4.32628i) q^{79} +(-9.57166 - 0.737475i) q^{80} +(-0.401905 + 0.232040i) q^{81} +(1.77087 - 9.57674i) q^{82} +(-9.84868 + 4.07946i) q^{83} +(13.4039 - 6.49365i) q^{84} +(-5.36551 + 12.9535i) q^{85} +(1.49888 + 7.03744i) q^{86} +(25.1757 + 6.74582i) q^{87} +(2.56060 + 6.64609i) q^{88} +(-3.81526 + 1.02230i) q^{89} +(16.6853 + 0.867564i) q^{90} +(-1.45870 - 4.83106i) q^{91} +(3.82222 + 0.398556i) q^{92} +(-14.4759 - 1.90578i) q^{93} +(-5.53658 + 0.438028i) q^{94} +(-8.35621 - 14.4734i) q^{95} +(11.2357 - 11.2819i) q^{96} +12.6228 q^{97} +(9.10401 - 3.88807i) q^{98} +(-4.74360 - 11.4521i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9} + O(q^{10}) \) \( 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9} - 4 q^{10} - 4 q^{11} - 4 q^{12} - 16 q^{13} + 24 q^{14} - 24 q^{16} - 24 q^{18} - 4 q^{19} - 48 q^{20} - 8 q^{21} - 24 q^{22} - 12 q^{23} + 36 q^{24} - 4 q^{25} - 4 q^{26} - 16 q^{27} + 12 q^{28} - 16 q^{29} + 44 q^{30} - 56 q^{31} - 4 q^{32} - 8 q^{33} - 32 q^{34} - 32 q^{35} - 96 q^{36} - 4 q^{37} + 36 q^{38} - 4 q^{39} - 68 q^{40} - 16 q^{41} - 28 q^{42} + 44 q^{44} + 8 q^{45} - 4 q^{46} - 16 q^{48} + 8 q^{50} - 28 q^{51} - 28 q^{52} - 20 q^{53} - 92 q^{54} - 16 q^{55} - 48 q^{56} - 16 q^{57} + 28 q^{58} - 36 q^{59} + 60 q^{60} - 4 q^{61} - 16 q^{63} + 56 q^{64} - 8 q^{65} - 36 q^{66} + 36 q^{67} - 36 q^{68} - 16 q^{69} - 44 q^{70} + 48 q^{71} - 4 q^{72} - 4 q^{73} + 68 q^{74} + 16 q^{75} - 16 q^{76} - 8 q^{77} - 120 q^{78} - 16 q^{80} - 44 q^{82} - 96 q^{83} - 28 q^{84} - 56 q^{85} - 4 q^{86} - 4 q^{87} + 40 q^{88} - 4 q^{89} + 224 q^{90} - 56 q^{91} - 80 q^{92} + 20 q^{93} + 4 q^{94} - 8 q^{95} - 32 q^{96} - 32 q^{97} + 96 q^{98} + 8 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.16516 + 0.801498i −0.823893 + 0.566745i
\(3\) 1.71349 2.23306i 0.989282 1.28926i 0.0321868 0.999482i \(-0.489753\pi\)
0.957095 0.289775i \(-0.0935805\pi\)
\(4\) 0.715201 1.86775i 0.357600 0.933875i
\(5\) 1.90405 1.46103i 0.851518 0.653393i −0.0879138 0.996128i \(-0.528020\pi\)
0.939432 + 0.342735i \(0.111353\pi\)
\(6\) −0.206695 + 3.97523i −0.0843828 + 1.62288i
\(7\) −0.262719 + 2.63268i −0.0992986 + 0.995058i
\(8\) 0.663674 + 2.74946i 0.234644 + 0.972081i
\(9\) −1.27406 4.75485i −0.424686 1.58495i
\(10\) −1.04751 + 3.22843i −0.331253 + 1.02092i
\(11\) 2.49657 0.328680i 0.752745 0.0991007i 0.255617 0.966778i \(-0.417721\pi\)
0.497128 + 0.867677i \(0.334388\pi\)
\(12\) −2.94531 4.79745i −0.850237 1.38490i
\(13\) −1.76220 + 0.729927i −0.488746 + 0.202445i −0.613427 0.789752i \(-0.710209\pi\)
0.124681 + 0.992197i \(0.460209\pi\)
\(14\) −1.80397 3.27806i −0.482132 0.876098i
\(15\) 6.75532i 1.74422i
\(16\) −2.97698 2.67163i −0.744244 0.667908i
\(17\) −5.05929 + 2.92098i −1.22706 + 0.708442i −0.966413 0.256992i \(-0.917268\pi\)
−0.260645 + 0.965435i \(0.583935\pi\)
\(18\) 5.29549 + 4.51901i 1.24816 + 1.06514i
\(19\) 0.908918 6.90392i 0.208520 1.58387i −0.492233 0.870463i \(-0.663819\pi\)
0.700753 0.713404i \(-0.252847\pi\)
\(20\) −1.36706 4.60122i −0.305684 1.02886i
\(21\) 5.42875 + 5.09772i 1.18465 + 1.11241i
\(22\) −2.64547 + 2.38396i −0.564017 + 0.508263i
\(23\) 0.497314 + 1.85600i 0.103697 + 0.387003i 0.998194 0.0600710i \(-0.0191327\pi\)
−0.894497 + 0.447074i \(0.852466\pi\)
\(24\) 7.27690 + 3.22914i 1.48539 + 0.659146i
\(25\) 0.196710 0.734131i 0.0393420 0.146826i
\(26\) 1.46821 2.26288i 0.287940 0.443788i
\(27\) −4.99959 2.07090i −0.962171 0.398544i
\(28\) 4.72928 + 2.37359i 0.893750 + 0.448566i
\(29\) 3.54360 + 8.55501i 0.658030 + 1.58862i 0.800843 + 0.598875i \(0.204385\pi\)
−0.142813 + 0.989750i \(0.545615\pi\)
\(30\) 5.41438 + 7.87103i 0.988525 + 1.43705i
\(31\) −2.59366 4.49234i −0.465834 0.806849i 0.533404 0.845860i \(-0.320912\pi\)
−0.999239 + 0.0390116i \(0.987579\pi\)
\(32\) 5.60996 + 0.726841i 0.991711 + 0.128489i
\(33\) 3.54388 6.13818i 0.616910 1.06852i
\(34\) 3.55373 7.45843i 0.609459 1.27911i
\(35\) 3.34619 + 5.39659i 0.565609 + 0.912191i
\(36\) −9.79208 1.02105i −1.63201 0.170175i
\(37\) −2.70513 + 2.07572i −0.444721 + 0.341247i −0.806722 0.590931i \(-0.798760\pi\)
0.362001 + 0.932178i \(0.382094\pi\)
\(38\) 4.47444 + 8.77267i 0.725850 + 1.42312i
\(39\) −1.38953 + 5.18581i −0.222504 + 0.830394i
\(40\) 5.28072 + 4.26547i 0.834955 + 0.674430i
\(41\) −4.86955 + 4.86955i −0.760496 + 0.760496i −0.976412 0.215916i \(-0.930726\pi\)
0.215916 + 0.976412i \(0.430726\pi\)
\(42\) −10.4112 1.58853i −1.60648 0.245115i
\(43\) 1.94703 4.70055i 0.296920 0.716827i −0.703064 0.711126i \(-0.748185\pi\)
0.999984 0.00570089i \(-0.00181466\pi\)
\(44\) 1.17166 4.89804i 0.176634 0.738408i
\(45\) −9.37286 7.19205i −1.39722 1.07213i
\(46\) −2.06703 1.76394i −0.304767 0.260079i
\(47\) 3.40104 + 1.96359i 0.496093 + 0.286419i 0.727099 0.686533i \(-0.240868\pi\)
−0.231006 + 0.972952i \(0.574202\pi\)
\(48\) −11.0669 + 2.06996i −1.59737 + 0.298772i
\(49\) −6.86196 1.38331i −0.980280 0.197616i
\(50\) 0.359206 + 1.01304i 0.0507994 + 0.143266i
\(51\) −2.14630 + 16.3028i −0.300542 + 2.28284i
\(52\) 0.102994 + 3.81339i 0.0142827 + 0.528822i
\(53\) 4.89856 0.644908i 0.672869 0.0885849i 0.213653 0.976910i \(-0.431464\pi\)
0.459216 + 0.888325i \(0.348130\pi\)
\(54\) 7.48514 1.59423i 1.01860 0.216947i
\(55\) 4.27339 4.27339i 0.576224 0.576224i
\(56\) −7.41280 + 1.02490i −0.990577 + 0.136958i
\(57\) −13.8594 13.8594i −1.83573 1.83573i
\(58\) −10.9857 7.12777i −1.44249 0.935922i
\(59\) −0.694133 5.27246i −0.0903684 0.686416i −0.975330 0.220752i \(-0.929149\pi\)
0.884962 0.465664i \(-0.154184\pi\)
\(60\) −12.6172 4.83141i −1.62888 0.623732i
\(61\) −7.60241 1.00088i −0.973389 0.128149i −0.372978 0.927840i \(-0.621663\pi\)
−0.600412 + 0.799691i \(0.704997\pi\)
\(62\) 6.62263 + 3.15549i 0.841075 + 0.400748i
\(63\) 12.8527 2.10499i 1.61929 0.265204i
\(64\) −7.11907 + 3.64949i −0.889884 + 0.456186i
\(65\) −2.28887 + 3.96445i −0.283900 + 0.491729i
\(66\) 0.790550 + 9.99238i 0.0973099 + 1.22998i
\(67\) −4.18604 + 5.45536i −0.511407 + 0.666478i −0.975676 0.219216i \(-0.929650\pi\)
0.464270 + 0.885694i \(0.346317\pi\)
\(68\) 1.83725 + 11.5386i 0.222800 + 1.39926i
\(69\) 4.99670 + 2.06970i 0.601532 + 0.249163i
\(70\) −8.22421 3.60594i −0.982981 0.430992i
\(71\) 7.62970 + 7.62970i 0.905478 + 0.905478i 0.995903 0.0904250i \(-0.0288225\pi\)
−0.0904250 + 0.995903i \(0.528823\pi\)
\(72\) 12.2277 6.65864i 1.44105 0.784729i
\(73\) 10.2082 + 2.73527i 1.19478 + 0.320139i 0.800772 0.598970i \(-0.204423\pi\)
0.394004 + 0.919109i \(0.371090\pi\)
\(74\) 1.48823 4.58671i 0.173003 0.533194i
\(75\) −1.30230 1.69719i −0.150376 0.195974i
\(76\) −12.2447 6.63532i −1.40457 0.761123i
\(77\) 0.209410 + 6.65901i 0.0238645 + 0.758865i
\(78\) −2.53739 7.15602i −0.287303 0.810259i
\(79\) 7.49333 + 4.32628i 0.843066 + 0.486744i 0.858305 0.513139i \(-0.171518\pi\)
−0.0152392 + 0.999884i \(0.504851\pi\)
\(80\) −9.57166 0.737475i −1.07014 0.0824522i
\(81\) −0.401905 + 0.232040i −0.0446561 + 0.0257822i
\(82\) 1.77087 9.57674i 0.195560 1.05757i
\(83\) −9.84868 + 4.07946i −1.08103 + 0.447779i −0.850872 0.525374i \(-0.823926\pi\)
−0.230162 + 0.973152i \(0.573926\pi\)
\(84\) 13.4039 6.49365i 1.46249 0.708516i
\(85\) −5.36551 + 12.9535i −0.581971 + 1.40500i
\(86\) 1.49888 + 7.03744i 0.161628 + 0.758867i
\(87\) 25.1757 + 6.74582i 2.69912 + 0.723228i
\(88\) 2.56060 + 6.64609i 0.272961 + 0.708476i
\(89\) −3.81526 + 1.02230i −0.404417 + 0.108363i −0.455293 0.890342i \(-0.650465\pi\)
0.0508757 + 0.998705i \(0.483799\pi\)
\(90\) 16.6853 + 0.867564i 1.75879 + 0.0914492i
\(91\) −1.45870 4.83106i −0.152913 0.506433i
\(92\) 3.82222 + 0.398556i 0.398494 + 0.0415523i
\(93\) −14.4759 1.90578i −1.50108 0.197620i
\(94\) −5.53658 + 0.438028i −0.571054 + 0.0451791i
\(95\) −8.35621 14.4734i −0.857329 1.48494i
\(96\) 11.2357 11.2819i 1.14674 1.15146i
\(97\) 12.6228 1.28165 0.640824 0.767687i \(-0.278593\pi\)
0.640824 + 0.767687i \(0.278593\pi\)
\(98\) 9.10401 3.88807i 0.919643 0.392754i
\(99\) −4.74360 11.4521i −0.476750 1.15098i
\(100\) −1.23049 0.892456i −0.123049 0.0892456i
\(101\) −0.337706 2.56513i −0.0336030 0.255240i 0.966395 0.257060i \(-0.0827539\pi\)
−0.999998 + 0.00182026i \(0.999421\pi\)
\(102\) −10.5658 20.7156i −1.04617 2.05115i
\(103\) −8.19958 + 2.19707i −0.807929 + 0.216484i −0.639062 0.769155i \(-0.720677\pi\)
−0.168866 + 0.985639i \(0.554011\pi\)
\(104\) −3.17643 4.36066i −0.311475 0.427598i
\(105\) 17.7846 + 1.77475i 1.73559 + 0.173198i
\(106\) −5.19072 + 4.67761i −0.504167 + 0.454330i
\(107\) −0.311724 0.406246i −0.0301355 0.0392733i 0.778043 0.628212i \(-0.216213\pi\)
−0.808178 + 0.588938i \(0.799546\pi\)
\(108\) −7.44362 + 7.85687i −0.716263 + 0.756027i
\(109\) −5.02982 3.85952i −0.481770 0.369675i 0.339137 0.940737i \(-0.389865\pi\)
−0.820907 + 0.571062i \(0.806532\pi\)
\(110\) −1.55407 + 8.40431i −0.148175 + 0.801319i
\(111\) 9.59744i 0.910949i
\(112\) 7.81565 7.13552i 0.738509 0.674243i
\(113\) 12.0501i 1.13358i −0.823862 0.566791i \(-0.808185\pi\)
0.823862 0.566791i \(-0.191815\pi\)
\(114\) 27.2568 + 5.04016i 2.55283 + 0.472054i
\(115\) 3.65859 + 2.80733i 0.341165 + 0.261785i
\(116\) 18.5130 0.500008i 1.71889 0.0464245i
\(117\) 5.71584 + 7.44902i 0.528429 + 0.688662i
\(118\) 5.03465 + 5.58692i 0.463477 + 0.514318i
\(119\) −6.36083 14.0869i −0.583096 1.29134i
\(120\) 18.5735 4.48333i 1.69552 0.409270i
\(121\) −4.50034 + 1.20586i −0.409122 + 0.109624i
\(122\) 9.66024 4.92714i 0.874597 0.446082i
\(123\) 2.53008 + 19.2179i 0.228130 + 1.73282i
\(124\) −10.2456 + 1.63137i −0.920078 + 0.146501i
\(125\) 3.89417 + 9.40136i 0.348305 + 0.840883i
\(126\) −13.2883 + 12.7541i −1.18382 + 1.13622i
\(127\) 4.16383 0.369481 0.184740 0.982787i \(-0.440856\pi\)
0.184740 + 0.982787i \(0.440856\pi\)
\(128\) 5.36981 9.95817i 0.474629 0.880186i
\(129\) −7.16039 12.4022i −0.630437 1.09195i
\(130\) −0.510590 6.45375i −0.0447817 0.566031i
\(131\) 5.87422 + 0.773355i 0.513233 + 0.0675684i 0.382695 0.923875i \(-0.374996\pi\)
0.130538 + 0.991443i \(0.458329\pi\)
\(132\) −8.92999 11.0091i −0.777256 0.958220i
\(133\) 17.9370 + 4.20668i 1.55533 + 0.364765i
\(134\) 0.504955 9.71148i 0.0436215 0.838944i
\(135\) −12.5451 + 3.36145i −1.07971 + 0.289308i
\(136\) −11.3888 11.9717i −0.976586 1.02657i
\(137\) 0.764393 + 0.204819i 0.0653065 + 0.0174988i 0.291324 0.956624i \(-0.405904\pi\)
−0.226018 + 0.974123i \(0.572571\pi\)
\(138\) −7.48082 + 1.59331i −0.636810 + 0.135632i
\(139\) 4.52992 10.9362i 0.384223 0.927597i −0.606916 0.794766i \(-0.707593\pi\)
0.991139 0.132830i \(-0.0424065\pi\)
\(140\) 12.4727 2.39019i 1.05413 0.202008i
\(141\) 10.2125 4.23014i 0.860044 0.356242i
\(142\) −15.0050 2.77464i −1.25919 0.232842i
\(143\) −4.15954 + 2.40151i −0.347838 + 0.200825i
\(144\) −8.91037 + 17.5589i −0.742531 + 1.46324i
\(145\) 19.2463 + 11.1119i 1.59832 + 0.922791i
\(146\) −14.0865 + 4.99480i −1.16580 + 0.413372i
\(147\) −14.8469 + 12.9529i −1.22455 + 1.06833i
\(148\) 1.94221 + 6.53707i 0.159649 + 0.537344i
\(149\) −8.48224 11.0543i −0.694892 0.905601i 0.304000 0.952672i \(-0.401678\pi\)
−0.998892 + 0.0470715i \(0.985011\pi\)
\(150\) 2.87768 + 0.933707i 0.234962 + 0.0762369i
\(151\) −17.1811 4.60367i −1.39818 0.374642i −0.520490 0.853868i \(-0.674251\pi\)
−0.877692 + 0.479226i \(0.840918\pi\)
\(152\) 19.5853 2.08291i 1.58858 0.168947i
\(153\) 20.3347 + 20.3347i 1.64396 + 1.64396i
\(154\) −5.58118 7.59098i −0.449745 0.611699i
\(155\) −11.5019 4.76425i −0.923856 0.382674i
\(156\) 8.69200 + 6.30420i 0.695917 + 0.504740i
\(157\) −2.38799 + 3.11209i −0.190583 + 0.248372i −0.878865 0.477071i \(-0.841698\pi\)
0.688282 + 0.725443i \(0.258365\pi\)
\(158\) −12.1984 + 0.965083i −0.970456 + 0.0767779i
\(159\) 6.95350 12.0438i 0.551448 0.955137i
\(160\) 11.7436 6.81239i 0.928414 0.538567i
\(161\) −5.01690 + 0.821659i −0.395387 + 0.0647558i
\(162\) 0.282304 0.592490i 0.0221799 0.0465504i
\(163\) −7.11973 0.937331i −0.557661 0.0734174i −0.153572 0.988137i \(-0.549078\pi\)
−0.404088 + 0.914720i \(0.632411\pi\)
\(164\) 5.61239 + 12.5778i 0.438254 + 0.982161i
\(165\) −2.22034 16.8651i −0.172853 1.31295i
\(166\) 8.20562 12.6469i 0.636880 0.981592i
\(167\) −7.05741 7.05741i −0.546119 0.546119i 0.379197 0.925316i \(-0.376200\pi\)
−0.925316 + 0.379197i \(0.876200\pi\)
\(168\) −10.4131 + 18.3094i −0.803385 + 1.41260i
\(169\) −6.61984 + 6.61984i −0.509218 + 0.509218i
\(170\) −4.13051 19.3933i −0.316796 1.48740i
\(171\) −33.9851 + 4.47423i −2.59891 + 0.342153i
\(172\) −7.38693 6.99841i −0.563248 0.533623i
\(173\) −0.856088 + 6.50263i −0.0650871 + 0.494386i 0.927591 + 0.373597i \(0.121876\pi\)
−0.992678 + 0.120789i \(0.961458\pi\)
\(174\) −34.7406 + 12.3183i −2.63367 + 0.933851i
\(175\) 1.88105 + 0.710743i 0.142194 + 0.0537271i
\(176\) −8.31034 5.69145i −0.626416 0.429009i
\(177\) −12.9631 7.48425i −0.974367 0.562551i
\(178\) 3.62603 4.24907i 0.271782 0.318481i
\(179\) 15.7076 + 12.0529i 1.17404 + 0.900874i 0.996529 0.0832449i \(-0.0265284\pi\)
0.177512 + 0.984119i \(0.443195\pi\)
\(180\) −20.1364 + 12.3624i −1.50088 + 0.921438i
\(181\) 5.19916 12.5519i 0.386450 0.932973i −0.604236 0.796806i \(-0.706521\pi\)
0.990686 0.136168i \(-0.0434786\pi\)
\(182\) 5.57170 + 4.45982i 0.413002 + 0.330584i
\(183\) −15.2616 + 15.2616i −1.12817 + 1.12817i
\(184\) −4.77295 + 2.59912i −0.351866 + 0.191610i
\(185\) −2.11802 + 7.90457i −0.155720 + 0.581155i
\(186\) 18.3942 9.38183i 1.34873 0.687909i
\(187\) −11.6708 + 8.95533i −0.853454 + 0.654879i
\(188\) 6.09993 4.94793i 0.444883 0.360865i
\(189\) 6.76549 12.6182i 0.492117 0.917841i
\(190\) 21.3367 + 10.1663i 1.54793 + 0.737543i
\(191\) 3.35172 5.80536i 0.242522 0.420061i −0.718910 0.695103i \(-0.755359\pi\)
0.961432 + 0.275042i \(0.0886919\pi\)
\(192\) −4.04891 + 22.1507i −0.292205 + 1.59859i
\(193\) −6.41438 11.1100i −0.461717 0.799718i 0.537329 0.843373i \(-0.319433\pi\)
−0.999047 + 0.0436545i \(0.986100\pi\)
\(194\) −14.7076 + 10.1171i −1.05594 + 0.726368i
\(195\) 4.93089 + 11.9042i 0.353108 + 0.852478i
\(196\) −7.49135 + 11.8271i −0.535097 + 0.844791i
\(197\) −7.51399 3.11240i −0.535349 0.221749i 0.0985949 0.995128i \(-0.468565\pi\)
−0.633944 + 0.773379i \(0.718565\pi\)
\(198\) 14.7059 + 9.54152i 1.04510 + 0.678086i
\(199\) 6.12203 22.8477i 0.433980 1.61963i −0.309517 0.950894i \(-0.600167\pi\)
0.743497 0.668740i \(-0.233166\pi\)
\(200\) 2.14902 + 0.0536226i 0.151958 + 0.00379169i
\(201\) 5.00941 + 18.6954i 0.353336 + 1.31867i
\(202\) 2.44943 + 2.71812i 0.172341 + 0.191246i
\(203\) −23.4535 + 7.08158i −1.64611 + 0.497030i
\(204\) 28.9144 + 15.6685i 2.02441 + 1.09701i
\(205\) −2.15732 + 16.3864i −0.150673 + 1.14448i
\(206\) 7.79288 9.13189i 0.542956 0.636249i
\(207\) 8.19140 4.72931i 0.569342 0.328710i
\(208\) 7.19612 + 2.53497i 0.498961 + 0.175769i
\(209\) 17.5349i 1.21291i
\(210\) −22.1443 + 12.1864i −1.52810 + 0.840943i
\(211\) 11.1803 4.63103i 0.769683 0.318813i 0.0369388 0.999318i \(-0.488239\pi\)
0.732744 + 0.680505i \(0.238239\pi\)
\(212\) 2.29893 9.61053i 0.157891 0.660054i
\(213\) 30.1109 3.96418i 2.06317 0.271621i
\(214\) 0.688814 + 0.223496i 0.0470864 + 0.0152779i
\(215\) −3.16040 11.7948i −0.215537 0.804397i
\(216\) 2.37576 15.1206i 0.161650 1.02882i
\(217\) 12.5083 5.64803i 0.849118 0.383413i
\(218\) 8.95395 + 0.465567i 0.606438 + 0.0315322i
\(219\) 23.5996 18.1086i 1.59471 1.22366i
\(220\) −4.92529 11.0380i −0.332063 0.744179i
\(221\) 6.78337 8.84026i 0.456299 0.594660i
\(222\) −7.69233 11.1826i −0.516276 0.750525i
\(223\) −16.0197 −1.07276 −0.536380 0.843977i \(-0.680209\pi\)
−0.536380 + 0.843977i \(0.680209\pi\)
\(224\) −3.38738 + 14.5783i −0.226329 + 0.974051i
\(225\) −3.74130 −0.249420
\(226\) 9.65817 + 14.0404i 0.642452 + 0.933951i
\(227\) 14.1416 18.4296i 0.938608 1.22322i −0.0360112 0.999351i \(-0.511465\pi\)
0.974620 0.223867i \(-0.0718681\pi\)
\(228\) −35.7982 + 15.9737i −2.37080 + 1.05788i
\(229\) −15.0628 + 11.5581i −0.995375 + 0.763778i −0.971767 0.235943i \(-0.924182\pi\)
−0.0236079 + 0.999721i \(0.507515\pi\)
\(230\) −6.51292 0.338643i −0.429449 0.0223295i
\(231\) 15.2288 + 10.9425i 1.00198 + 0.719964i
\(232\) −21.1699 + 15.4207i −1.38987 + 1.01242i
\(233\) −1.35571 5.05959i −0.0888157 0.331465i 0.907194 0.420713i \(-0.138220\pi\)
−0.996009 + 0.0892485i \(0.971553\pi\)
\(234\) −12.6302 4.09808i −0.825665 0.267900i
\(235\) 9.34463 1.23024i 0.609576 0.0802523i
\(236\) −10.3441 2.47440i −0.673342 0.161070i
\(237\) 22.5006 9.32004i 1.46157 0.605401i
\(238\) 18.7020 + 11.3153i 1.21227 + 0.733461i
\(239\) 1.07070i 0.0692579i 0.999400 + 0.0346290i \(0.0110249\pi\)
−0.999400 + 0.0346290i \(0.988975\pi\)
\(240\) −18.0477 + 20.1104i −1.16498 + 1.29812i
\(241\) 20.0585 11.5808i 1.29208 0.745983i 0.313057 0.949734i \(-0.398647\pi\)
0.979023 + 0.203752i \(0.0653135\pi\)
\(242\) 4.27713 5.01204i 0.274944 0.322186i
\(243\) 1.94853 14.8006i 0.124998 0.949457i
\(244\) −7.30664 + 13.4836i −0.467760 + 0.863197i
\(245\) −15.0866 + 7.39164i −0.963847 + 0.472234i
\(246\) −18.3511 20.3641i −1.17002 1.29837i
\(247\) 3.43766 + 12.8295i 0.218733 + 0.816323i
\(248\) 10.6302 10.1126i 0.675017 0.642151i
\(249\) −7.76591 + 28.9828i −0.492145 + 1.83671i
\(250\) −12.0725 7.83293i −0.763532 0.495398i
\(251\) 17.9949 + 7.45374i 1.13583 + 0.470476i 0.869758 0.493478i \(-0.164275\pi\)
0.266071 + 0.963954i \(0.414275\pi\)
\(252\) 5.26067 25.5111i 0.331391 1.60705i
\(253\) 1.85161 + 4.47018i 0.116410 + 0.281038i
\(254\) −4.85154 + 3.33731i −0.304413 + 0.209401i
\(255\) 19.7322 + 34.1771i 1.23568 + 2.14025i
\(256\) 1.72476 + 15.9068i 0.107798 + 0.994173i
\(257\) 2.67709 4.63685i 0.166992 0.289239i −0.770369 0.637599i \(-0.779928\pi\)
0.937361 + 0.348360i \(0.113261\pi\)
\(258\) 18.2833 + 8.71148i 1.13827 + 0.542353i
\(259\) −4.75401 7.66707i −0.295400 0.476409i
\(260\) 5.76759 + 7.11042i 0.357691 + 0.440969i
\(261\) 36.1630 27.7489i 2.23843 1.71761i
\(262\) −7.46425 + 3.80709i −0.461143 + 0.235203i
\(263\) −4.04719 + 15.1043i −0.249561 + 0.931373i 0.721475 + 0.692440i \(0.243464\pi\)
−0.971036 + 0.238933i \(0.923202\pi\)
\(264\) 19.2287 + 5.67001i 1.18344 + 0.348965i
\(265\) 8.38489 8.38489i 0.515080 0.515080i
\(266\) −24.2711 + 9.47500i −1.48816 + 0.580950i
\(267\) −4.25455 + 10.2714i −0.260374 + 0.628599i
\(268\) 7.19538 + 11.7202i 0.439528 + 0.715922i
\(269\) −12.9654 9.94868i −0.790513 0.606582i 0.132574 0.991173i \(-0.457676\pi\)
−0.923087 + 0.384591i \(0.874342\pi\)
\(270\) 11.9229 13.9715i 0.725604 0.850280i
\(271\) −6.21779 3.58984i −0.377704 0.218068i 0.299115 0.954217i \(-0.403309\pi\)
−0.676819 + 0.736150i \(0.736642\pi\)
\(272\) 22.8652 + 4.82087i 1.38640 + 0.292308i
\(273\) −13.2875 5.02060i −0.804196 0.303861i
\(274\) −1.05480 + 0.374013i −0.0637230 + 0.0225950i
\(275\) 0.249806 1.89747i 0.0150639 0.114421i
\(276\) 7.43933 7.85233i 0.447795 0.472655i
\(277\) −1.51574 + 0.199551i −0.0910718 + 0.0119898i −0.175924 0.984404i \(-0.556291\pi\)
0.0848525 + 0.996394i \(0.472958\pi\)
\(278\) 3.48726 + 16.3732i 0.209152 + 0.981997i
\(279\) −18.0560 + 18.0560i −1.08098 + 1.08098i
\(280\) −12.6169 + 12.7818i −0.754007 + 0.763858i
\(281\) −20.6059 20.6059i −1.22925 1.22925i −0.964249 0.264997i \(-0.914629\pi\)
−0.264997 0.964249i \(-0.585371\pi\)
\(282\) −8.50870 + 13.1141i −0.506686 + 0.780930i
\(283\) −0.145302 1.10368i −0.00863728 0.0656067i 0.986583 0.163258i \(-0.0522003\pi\)
−0.995221 + 0.0976514i \(0.968867\pi\)
\(284\) 19.7071 8.79359i 1.16940 0.521804i
\(285\) −46.6382 6.14003i −2.76261 0.363704i
\(286\) 2.92173 6.13202i 0.172765 0.362594i
\(287\) −11.5406 14.0993i −0.681221 0.832253i
\(288\) −3.69140 27.6006i −0.217518 1.62638i
\(289\) 8.56428 14.8338i 0.503781 0.872575i
\(290\) −31.3312 + 2.47878i −1.83983 + 0.145559i
\(291\) 21.6290 28.1874i 1.26791 1.65237i
\(292\) 12.4097 17.1100i 0.726222 1.00129i
\(293\) −19.5257 8.08783i −1.14071 0.472496i −0.269299 0.963057i \(-0.586792\pi\)
−0.871407 + 0.490561i \(0.836792\pi\)
\(294\) 6.91730 26.9919i 0.403425 1.57420i
\(295\) −9.02490 9.02490i −0.525450 0.525450i
\(296\) −7.50244 6.06006i −0.436071 0.352234i
\(297\) −13.1625 3.52688i −0.763765 0.204650i
\(298\) 18.7431 + 6.08150i 1.08576 + 0.352292i
\(299\) −2.23111 2.90764i −0.129028 0.168153i
\(300\) −4.10133 + 1.21854i −0.236790 + 0.0703522i
\(301\) 11.8635 + 6.36083i 0.683801 + 0.366632i
\(302\) 23.7086 8.40664i 1.36428 0.483748i
\(303\) −6.30674 3.64120i −0.362313 0.209181i
\(304\) −21.1506 + 18.1245i −1.21307 + 1.03951i
\(305\) −15.9377 + 9.20164i −0.912591 + 0.526884i
\(306\) −39.9914 7.39496i −2.28615 0.422742i
\(307\) 14.5688 6.03459i 0.831485 0.344412i 0.0739948 0.997259i \(-0.476425\pi\)
0.757491 + 0.652846i \(0.226425\pi\)
\(308\) 12.5871 + 4.37141i 0.717219 + 0.249084i
\(309\) −9.14368 + 22.0748i −0.520166 + 1.25579i
\(310\) 17.2201 3.66765i 0.978037 0.208308i
\(311\) −4.54949 1.21903i −0.257978 0.0691250i 0.127512 0.991837i \(-0.459301\pi\)
−0.385490 + 0.922712i \(0.625968\pi\)
\(312\) −15.1804 0.378784i −0.859420 0.0214444i
\(313\) −2.49854 + 0.669481i −0.141226 + 0.0378413i −0.328739 0.944421i \(-0.606624\pi\)
0.187514 + 0.982262i \(0.439957\pi\)
\(314\) 0.288059 5.54006i 0.0162561 0.312644i
\(315\) 21.3968 22.7862i 1.20557 1.28386i
\(316\) 13.4396 10.9015i 0.756039 0.613258i
\(317\) 0.0966973 + 0.0127304i 0.00543106 + 0.000715013i 0.133241 0.991084i \(-0.457461\pi\)
−0.127810 + 0.991799i \(0.540795\pi\)
\(318\) 1.55115 + 19.6062i 0.0869842 + 1.09946i
\(319\) 11.6587 + 20.1935i 0.652762 + 1.13062i
\(320\) −8.22308 + 17.3500i −0.459684 + 0.969895i
\(321\) −1.44131 −0.0804459
\(322\) 5.18694 4.97840i 0.289057 0.277436i
\(323\) 15.5677 + 37.5839i 0.866213 + 2.09122i
\(324\) 0.145950 + 0.916613i 0.00810831 + 0.0509229i
\(325\) 0.189220 + 1.43727i 0.0104960 + 0.0797253i
\(326\) 9.04691 4.61431i 0.501062 0.255563i
\(327\) −17.2371 + 4.61866i −0.953212 + 0.255412i
\(328\) −16.6204 10.1568i −0.917710 0.560818i
\(329\) −6.06302 + 8.43796i −0.334265 + 0.465200i
\(330\) 16.1044 + 17.8710i 0.886520 + 0.983766i
\(331\) −11.6822 15.2246i −0.642113 0.836818i 0.352993 0.935626i \(-0.385164\pi\)
−0.995107 + 0.0988075i \(0.968497\pi\)
\(332\) 0.575618 + 21.3125i 0.0315911 + 1.16968i
\(333\) 13.3162 + 10.2179i 0.729726 + 0.559938i
\(334\) 13.8795 + 2.56652i 0.759454 + 0.140434i
\(335\) 16.5032i 0.901668i
\(336\) −2.54203 29.6794i −0.138679 1.61914i
\(337\) 23.0585i 1.25608i 0.778183 + 0.628038i \(0.216142\pi\)
−0.778183 + 0.628038i \(0.783858\pi\)
\(338\) 2.40739 13.0190i 0.130945 0.708138i
\(339\) −26.9087 20.6477i −1.46148 1.12143i
\(340\) 20.3564 + 19.2858i 1.10398 + 1.04592i
\(341\) −7.95179 10.3630i −0.430614 0.561187i
\(342\) 36.0120 32.4522i 1.94731 1.75481i
\(343\) 5.44457 17.7019i 0.293979 0.955812i
\(344\) 14.2162 + 2.23366i 0.766485 + 0.120431i
\(345\) 12.5379 3.35951i 0.675016 0.180870i
\(346\) −4.21437 8.26277i −0.226566 0.444209i
\(347\) 3.79981 + 28.8624i 0.203984 + 1.54941i 0.720694 + 0.693254i \(0.243823\pi\)
−0.516709 + 0.856161i \(0.672843\pi\)
\(348\) 30.6052 42.1973i 1.64061 2.26202i
\(349\) 2.50585 + 6.04966i 0.134135 + 0.323831i 0.976648 0.214845i \(-0.0689247\pi\)
−0.842513 + 0.538676i \(0.818925\pi\)
\(350\) −2.76138 + 0.679527i −0.147602 + 0.0363222i
\(351\) 10.3219 0.550940
\(352\) 14.2446 0.0292714i 0.759239 0.00156017i
\(353\) 6.63400 + 11.4904i 0.353092 + 0.611574i 0.986790 0.162008i \(-0.0517969\pi\)
−0.633697 + 0.773581i \(0.718464\pi\)
\(354\) 21.1027 1.66955i 1.12160 0.0887354i
\(355\) 25.6746 + 3.38012i 1.36266 + 0.179398i
\(356\) −0.819286 + 7.85710i −0.0434221 + 0.416426i
\(357\) −42.3560 9.93356i −2.24172 0.525740i
\(358\) −27.9622 1.45392i −1.47785 0.0768418i
\(359\) −26.2813 + 7.04206i −1.38708 + 0.371666i −0.873686 0.486490i \(-0.838277\pi\)
−0.513389 + 0.858156i \(0.671610\pi\)
\(360\) 13.5537 30.5435i 0.714345 1.60978i
\(361\) −28.4854 7.63263i −1.49923 0.401717i
\(362\) 4.00245 + 18.7921i 0.210364 + 0.987689i
\(363\) −5.01851 + 12.1158i −0.263404 + 0.635912i
\(364\) −10.0665 0.730702i −0.527627 0.0382992i
\(365\) 23.4332 9.70635i 1.22655 0.508053i
\(366\) 5.55009 30.0145i 0.290108 1.56888i
\(367\) −15.6885 + 9.05776i −0.818933 + 0.472811i −0.850048 0.526705i \(-0.823427\pi\)
0.0311155 + 0.999516i \(0.490094\pi\)
\(368\) 3.47806 6.85391i 0.181306 0.357285i
\(369\) 29.3581 + 16.9499i 1.52832 + 0.882376i
\(370\) −3.86766 10.9077i −0.201070 0.567064i
\(371\) 0.410886 + 13.0658i 0.0213321 + 0.678340i
\(372\) −13.9127 + 25.6743i −0.721338 + 1.33115i
\(373\) 12.7858 + 16.6627i 0.662022 + 0.862764i 0.996833 0.0795215i \(-0.0253392\pi\)
−0.334811 + 0.942285i \(0.608673\pi\)
\(374\) 6.42070 19.7885i 0.332006 1.02324i
\(375\) 27.6664 + 7.41319i 1.42869 + 0.382815i
\(376\) −3.14164 + 10.6542i −0.162018 + 0.549449i
\(377\) −12.4891 12.4891i −0.643219 0.643219i
\(378\) 2.23060 + 20.1248i 0.114730 + 1.03511i
\(379\) −26.0016 10.7702i −1.33561 0.553229i −0.403361 0.915041i \(-0.632158\pi\)
−0.932251 + 0.361812i \(0.882158\pi\)
\(380\) −33.0090 + 5.25593i −1.69333 + 0.269624i
\(381\) 7.13467 9.29809i 0.365520 0.476355i
\(382\) 0.747685 + 9.45058i 0.0382549 + 0.483534i
\(383\) 2.85738 4.94912i 0.146005 0.252888i −0.783742 0.621086i \(-0.786692\pi\)
0.929748 + 0.368198i \(0.120025\pi\)
\(384\) −13.0361 29.0543i −0.665245 1.48267i
\(385\) 10.1278 + 12.3732i 0.516158 + 0.630595i
\(386\) 16.3785 + 7.80387i 0.833642 + 0.397206i
\(387\) −24.8311 3.26907i −1.26223 0.166176i
\(388\) 9.02782 23.5762i 0.458318 1.19690i
\(389\) 2.28731 + 17.3738i 0.115971 + 0.880889i 0.946226 + 0.323505i \(0.104861\pi\)
−0.830255 + 0.557384i \(0.811805\pi\)
\(390\) −15.2865 9.91823i −0.774061 0.502229i
\(391\) −7.93740 7.93740i −0.401412 0.401412i
\(392\) −0.750745 19.7848i −0.0379183 0.999281i
\(393\) 11.7923 11.7923i 0.594845 0.594845i
\(394\) 11.2496 2.39601i 0.566746 0.120709i
\(395\) 20.5885 2.71053i 1.03592 0.136382i
\(396\) −24.7822 + 0.669330i −1.24535 + 0.0336351i
\(397\) 0.336576 2.55655i 0.0168923 0.128309i −0.980921 0.194407i \(-0.937722\pi\)
0.997813 + 0.0660979i \(0.0210550\pi\)
\(398\) 11.1793 + 31.5281i 0.560366 + 1.58036i
\(399\) 40.1285 32.8462i 2.00894 1.64437i
\(400\) −2.54693 + 1.65995i −0.127346 + 0.0829977i
\(401\) 18.2466 + 10.5347i 0.911190 + 0.526076i 0.880814 0.473463i \(-0.156996\pi\)
0.0303763 + 0.999539i \(0.490329\pi\)
\(402\) −20.8211 17.7681i −1.03846 0.886191i
\(403\) 7.84962 + 6.02322i 0.391017 + 0.300038i
\(404\) −5.03255 1.20383i −0.250379 0.0598930i
\(405\) −0.426231 + 1.02901i −0.0211796 + 0.0511320i
\(406\) 21.6513 27.0491i 1.07453 1.34243i
\(407\) −6.07131 + 6.07131i −0.300944 + 0.300944i
\(408\) −46.2482 + 4.91854i −2.28963 + 0.243504i
\(409\) −3.41503 + 12.7451i −0.168862 + 0.630203i 0.828653 + 0.559762i \(0.189107\pi\)
−0.997516 + 0.0704414i \(0.977559\pi\)
\(410\) −10.6201 20.8219i −0.524489 1.02832i
\(411\) 1.76715 1.35598i 0.0871670 0.0668856i
\(412\) −1.76077 + 16.8861i −0.0867469 + 0.831919i
\(413\) 14.0630 0.442249i 0.691997 0.0217616i
\(414\) −5.75377 + 12.0758i −0.282782 + 0.593493i
\(415\) −12.7922 + 22.1567i −0.627944 + 1.08763i
\(416\) −10.4164 + 2.81402i −0.510707 + 0.137969i
\(417\) −16.6592 28.8546i −0.815805 1.41302i
\(418\) 14.0542 + 20.4309i 0.687412 + 0.999310i
\(419\) −7.42662 17.9294i −0.362814 0.875911i −0.994886 0.101001i \(-0.967795\pi\)
0.632072 0.774910i \(-0.282205\pi\)
\(420\) 16.0343 31.9478i 0.782395 1.55889i
\(421\) 37.0445 + 15.3443i 1.80544 + 0.747836i 0.984154 + 0.177314i \(0.0567407\pi\)
0.821282 + 0.570523i \(0.193259\pi\)
\(422\) −9.31508 + 14.3569i −0.453451 + 0.698882i
\(423\) 5.00346 18.6732i 0.243277 0.907921i
\(424\) 5.02420 + 13.0404i 0.243997 + 0.633298i
\(425\) 1.14917 + 4.28877i 0.0557430 + 0.208036i
\(426\) −31.9068 + 28.7528i −1.54589 + 1.39308i
\(427\) 4.63228 19.7517i 0.224172 0.955854i
\(428\) −0.981711 + 0.291674i −0.0474528 + 0.0140986i
\(429\) −1.76460 + 13.4035i −0.0851957 + 0.647125i
\(430\) 13.1359 + 11.2098i 0.633468 + 0.540582i
\(431\) −12.3186 + 7.11214i −0.593366 + 0.342580i −0.766427 0.642331i \(-0.777967\pi\)
0.173062 + 0.984911i \(0.444634\pi\)
\(432\) 9.35097 + 19.5221i 0.449899 + 0.939256i
\(433\) 4.61159i 0.221619i −0.993842 0.110809i \(-0.964656\pi\)
0.993842 0.110809i \(-0.0353443\pi\)
\(434\) −10.0473 + 16.6062i −0.482285 + 0.797125i
\(435\) 57.7918 23.9381i 2.77090 1.14775i
\(436\) −10.8060 + 6.63412i −0.517511 + 0.317717i
\(437\) 13.2657 1.74646i 0.634584 0.0835446i
\(438\) −12.9833 + 40.0144i −0.620366 + 1.91196i
\(439\) 4.50964 + 16.8302i 0.215233 + 0.803262i 0.986084 + 0.166246i \(0.0531647\pi\)
−0.770851 + 0.637016i \(0.780169\pi\)
\(440\) 14.5857 + 8.91339i 0.695344 + 0.424929i
\(441\) 2.16511 + 34.3900i 0.103100 + 1.63762i
\(442\) −0.818266 + 15.7372i −0.0389209 + 0.748542i
\(443\) −0.128970 + 0.0989625i −0.00612757 + 0.00470185i −0.611821 0.790997i \(-0.709563\pi\)
0.605693 + 0.795698i \(0.292896\pi\)
\(444\) 17.9256 + 6.86410i 0.850712 + 0.325756i
\(445\) −5.77086 + 7.52073i −0.273565 + 0.356517i
\(446\) 18.6656 12.8398i 0.883840 0.607981i
\(447\) −39.2190 −1.85500
\(448\) −7.73760 19.7010i −0.365567 0.930785i
\(449\) 11.6567 0.550116 0.275058 0.961428i \(-0.411303\pi\)
0.275058 + 0.961428i \(0.411303\pi\)
\(450\) 4.35922 2.99865i 0.205496 0.141358i
\(451\) −10.5567 + 13.7577i −0.497093 + 0.647825i
\(452\) −22.5066 8.61827i −1.05862 0.405369i
\(453\) −39.7199 + 30.4782i −1.86621 + 1.43199i
\(454\) −1.70587 + 32.8079i −0.0800605 + 1.53975i
\(455\) −9.83577 7.06740i −0.461108 0.331325i
\(456\) 28.9078 47.3041i 1.35373 2.21522i
\(457\) 7.02008 + 26.1993i 0.328386 + 1.22555i 0.910864 + 0.412706i \(0.135416\pi\)
−0.582479 + 0.812846i \(0.697917\pi\)
\(458\) 8.28677 25.5398i 0.387215 1.19340i
\(459\) 31.3434 4.12644i 1.46299 0.192606i
\(460\) 7.86002 4.82552i 0.366475 0.224991i
\(461\) 7.81215 3.23590i 0.363848 0.150711i −0.193267 0.981146i \(-0.561908\pi\)
0.557115 + 0.830435i \(0.311908\pi\)
\(462\) −26.5144 0.543931i −1.23356 0.0253060i
\(463\) 28.9645i 1.34609i −0.739600 0.673046i \(-0.764985\pi\)
0.739600 0.673046i \(-0.235015\pi\)
\(464\) 12.3066 34.9352i 0.571321 1.62183i
\(465\) −30.3472 + 17.5210i −1.40732 + 0.812515i
\(466\) 5.63488 + 4.80863i 0.261031 + 0.222756i
\(467\) −3.39774 + 25.8084i −0.157229 + 1.19427i 0.712835 + 0.701331i \(0.247411\pi\)
−0.870064 + 0.492939i \(0.835923\pi\)
\(468\) 18.0009 5.34820i 0.832091 0.247221i
\(469\) −13.2624 12.4537i −0.612402 0.575059i
\(470\) −9.90196 + 8.92314i −0.456743 + 0.411594i
\(471\) 2.85769 + 10.6651i 0.131676 + 0.491420i
\(472\) 14.0358 5.40769i 0.646048 0.248909i
\(473\) 3.31593 12.3752i 0.152467 0.569013i
\(474\) −18.7468 + 28.8935i −0.861068 + 1.32712i
\(475\) −4.88959 2.02533i −0.224350 0.0929287i
\(476\) −30.8600 + 1.80549i −1.41447 + 0.0827544i
\(477\) −9.30750 22.4703i −0.426161 1.02884i
\(478\) −0.858166 1.24754i −0.0392516 0.0570612i
\(479\) −6.63509 11.4923i −0.303165 0.525097i 0.673686 0.739018i \(-0.264710\pi\)
−0.976851 + 0.213920i \(0.931377\pi\)
\(480\) 4.91004 37.8971i 0.224112 1.72976i
\(481\) 3.25186 5.63238i 0.148272 0.256815i
\(482\) −14.0894 + 29.5703i −0.641754 + 1.34689i
\(483\) −6.76158 + 12.6109i −0.307662 + 0.573817i
\(484\) −0.966399 + 9.26795i −0.0439272 + 0.421270i
\(485\) 24.0344 18.4423i 1.09135 0.837420i
\(486\) 9.59228 + 18.8068i 0.435115 + 0.853094i
\(487\) 4.00836 14.9594i 0.181636 0.677875i −0.813690 0.581299i \(-0.802544\pi\)
0.995326 0.0965753i \(-0.0307889\pi\)
\(488\) −2.29365 21.5668i −0.103829 0.976283i
\(489\) −14.2927 + 14.2927i −0.646337 + 0.646337i
\(490\) 11.6539 20.7043i 0.526470 0.935326i
\(491\) 3.85714 9.31196i 0.174070 0.420243i −0.812633 0.582776i \(-0.801966\pi\)
0.986703 + 0.162533i \(0.0519665\pi\)
\(492\) 37.7037 + 9.01909i 1.69981 + 0.406612i
\(493\) −42.9171 32.9315i −1.93289 1.48316i
\(494\) −14.2883 12.1932i −0.642859 0.548597i
\(495\) −25.7639 14.8748i −1.15800 0.668572i
\(496\) −4.28064 + 20.3029i −0.192206 + 0.911627i
\(497\) −22.0910 + 18.0820i −0.990916 + 0.811090i
\(498\) −14.1811 39.9940i −0.635471 1.79217i
\(499\) 0.979674 7.44137i 0.0438562 0.333121i −0.955426 0.295232i \(-0.904603\pi\)
0.999282 0.0378896i \(-0.0120635\pi\)
\(500\) 20.3445 0.549474i 0.909833 0.0245732i
\(501\) −27.8524 + 3.66684i −1.24435 + 0.163822i
\(502\) −26.9411 + 5.73809i −1.20244 + 0.256103i
\(503\) 7.48218 7.48218i 0.333614 0.333614i −0.520343 0.853957i \(-0.674196\pi\)
0.853957 + 0.520343i \(0.174196\pi\)
\(504\) 14.3176 + 33.9410i 0.637756 + 1.51185i
\(505\) −4.39075 4.39075i −0.195386 0.195386i
\(506\) −5.74027 3.72442i −0.255186 0.165571i
\(507\) 3.43948 + 26.1255i 0.152753 + 1.16027i
\(508\) 2.97798 7.77700i 0.132126 0.345049i
\(509\) 17.0736 + 2.24778i 0.756772 + 0.0996309i 0.499032 0.866583i \(-0.333689\pi\)
0.257740 + 0.966214i \(0.417022\pi\)
\(510\) −50.3841 24.0065i −2.23104 1.06303i
\(511\) −9.88296 + 26.1562i −0.437196 + 1.15708i
\(512\) −14.7589 17.1515i −0.652256 0.757999i
\(513\) −18.8415 + 32.6345i −0.831873 + 1.44085i
\(514\) 0.597191 + 7.54836i 0.0263409 + 0.332944i
\(515\) −12.4024 + 16.1632i −0.546517 + 0.712235i
\(516\) −28.2853 + 4.50378i −1.24519 + 0.198268i
\(517\) 9.13634 + 3.78439i 0.401816 + 0.166437i
\(518\) 11.6843 + 5.12304i 0.513380 + 0.225093i
\(519\) 13.0539 + 13.0539i 0.573001 + 0.573001i
\(520\) −12.4192 3.66207i −0.544616 0.160592i
\(521\) −0.744652 0.199529i −0.0326238 0.00874152i 0.242470 0.970159i \(-0.422042\pi\)
−0.275094 + 0.961417i \(0.588709\pi\)
\(522\) −19.8951 + 61.3165i −0.870784 + 2.68375i
\(523\) 18.1156 + 23.6087i 0.792138 + 1.03233i 0.998548 + 0.0538690i \(0.0171553\pi\)
−0.206410 + 0.978466i \(0.566178\pi\)
\(524\) 5.64568 10.4185i 0.246633 0.455133i
\(525\) 4.81028 2.98264i 0.209938 0.130173i
\(526\) −7.39047 20.8428i −0.322240 0.908789i
\(527\) 26.2441 + 15.1520i 1.14321 + 0.660034i
\(528\) −26.9490 + 8.80527i −1.17280 + 0.383200i
\(529\) 16.7212 9.65397i 0.727007 0.419738i
\(530\) −3.04927 + 16.4902i −0.132452 + 0.716290i
\(531\) −24.1854 + 10.0179i −1.04956 + 0.434741i
\(532\) 20.6856 30.4932i 0.896833 1.32205i
\(533\) 5.02670 12.1355i 0.217731 0.525648i
\(534\) −3.27527 15.3778i −0.141735 0.665465i
\(535\) −1.18708 0.318076i −0.0513218 0.0137516i
\(536\) −17.7775 7.88879i −0.767869 0.340744i
\(537\) 53.8295 14.4236i 2.32292 0.622423i
\(538\) 23.0806 + 1.20009i 0.995075 + 0.0517396i
\(539\) −17.5860 1.19814i −0.757484 0.0516077i
\(540\) −2.69393 + 25.8353i −0.115928 + 1.11177i
\(541\) 11.3104 + 1.48905i 0.486274 + 0.0640192i 0.369678 0.929160i \(-0.379468\pi\)
0.116597 + 0.993179i \(0.462802\pi\)
\(542\) 10.1220 0.800803i 0.434776 0.0343974i
\(543\) −19.1204 33.1175i −0.820534 1.42121i
\(544\) −30.5055 + 12.7093i −1.30791 + 0.544907i
\(545\) −15.2159 −0.651779
\(546\) 19.5061 4.80010i 0.834783 0.205425i
\(547\) −3.53300 8.52942i −0.151060 0.364692i 0.830176 0.557502i \(-0.188240\pi\)
−0.981236 + 0.192810i \(0.938240\pi\)
\(548\) 0.929244 1.28121i 0.0396954 0.0547305i
\(549\) 4.92690 + 37.4235i 0.210275 + 1.59720i
\(550\) 1.22975 + 2.41107i 0.0524368 + 0.102808i
\(551\) 62.2839 16.6889i 2.65338 0.710972i
\(552\) −2.37438 + 15.1118i −0.101060 + 0.643202i
\(553\) −13.3583 + 18.5909i −0.568054 + 0.790566i
\(554\) 1.60614 1.44737i 0.0682383 0.0614928i
\(555\) 14.0222 + 18.2740i 0.595207 + 0.775689i
\(556\) −17.1863 16.2823i −0.728861 0.690525i
\(557\) −35.3300 27.1097i −1.49698 1.14867i −0.950301 0.311332i \(-0.899225\pi\)
−0.546679 0.837342i \(-0.684108\pi\)
\(558\) 6.56628 35.5099i 0.277973 1.50325i
\(559\) 9.70450i 0.410456i
\(560\) 4.45619 25.0053i 0.188308 1.05667i
\(561\) 41.4064i 1.74818i
\(562\) 40.5248 + 7.49361i 1.70944 + 0.316099i
\(563\) 25.9783 + 19.9338i 1.09485 + 0.840112i 0.988045 0.154168i \(-0.0492697\pi\)
0.106810 + 0.994279i \(0.465936\pi\)
\(564\) −0.596879 22.0997i −0.0251331 0.930565i
\(565\) −17.6056 22.9441i −0.740674 0.965266i
\(566\) 1.05389 + 1.16950i 0.0442985 + 0.0491578i
\(567\) −0.505298 1.11905i −0.0212205 0.0469955i
\(568\) −15.9139 + 26.0412i −0.667733 + 1.09266i
\(569\) −13.4522 + 3.60452i −0.563947 + 0.151109i −0.529519 0.848298i \(-0.677628\pi\)
−0.0344280 + 0.999407i \(0.510961\pi\)
\(570\) 59.2622 30.2263i 2.48222 1.26604i
\(571\) −2.99406 22.7421i −0.125297 0.951728i −0.932428 0.361355i \(-0.882314\pi\)
0.807131 0.590373i \(-0.201019\pi\)
\(572\) 1.51052 + 9.48655i 0.0631578 + 0.396653i
\(573\) −7.22057 17.4320i −0.301644 0.728232i
\(574\) 24.7472 + 7.17813i 1.03293 + 0.299609i
\(575\) 1.46037 0.0609018
\(576\) 26.4229 + 29.2005i 1.10095 + 1.21669i
\(577\) 5.25492 + 9.10178i 0.218765 + 0.378912i 0.954431 0.298433i \(-0.0964638\pi\)
−0.735666 + 0.677345i \(0.763131\pi\)
\(578\) 1.91047 + 24.1480i 0.0794653 + 1.00442i
\(579\) −35.8003 4.71320i −1.48781 0.195874i
\(580\) 34.5192 28.0001i 1.43333 1.16264i
\(581\) −8.15245 27.0001i −0.338221 1.12015i
\(582\) −2.60906 + 50.1784i −0.108149 + 2.07996i
\(583\) 12.0176 3.22012i 0.497720 0.133364i
\(584\) −0.745628 + 29.8823i −0.0308543 + 1.23654i
\(585\) 21.7665 + 5.83232i 0.899934 + 0.241137i
\(586\) 29.2330 6.22623i 1.20760 0.257203i
\(587\) 1.98416 4.79017i 0.0818949 0.197712i −0.877628 0.479342i \(-0.840875\pi\)
0.959523 + 0.281631i \(0.0908753\pi\)
\(588\) 13.5742 + 36.9942i 0.559791 + 1.52561i
\(589\) −33.3722 + 13.8232i −1.37508 + 0.569576i
\(590\) 17.7489 + 3.28202i 0.730711 + 0.135119i
\(591\) −19.8253 + 11.4461i −0.815503 + 0.470831i
\(592\) 13.5987 + 1.04775i 0.558902 + 0.0430622i
\(593\) −26.8166 15.4826i −1.10123 0.635793i −0.164683 0.986347i \(-0.552660\pi\)
−0.936543 + 0.350554i \(0.885993\pi\)
\(594\) 18.1632 6.44033i 0.745245 0.264250i
\(595\) −32.6927 17.5288i −1.34027 0.718610i
\(596\) −26.7131 + 7.93667i −1.09421 + 0.325099i
\(597\) −40.5303 52.8201i −1.65880 2.16178i
\(598\) 4.93007 + 1.59964i 0.201606 + 0.0654140i
\(599\) −1.01301 0.271435i −0.0413905 0.0110905i 0.238064 0.971249i \(-0.423487\pi\)
−0.279455 + 0.960159i \(0.590154\pi\)
\(600\) 3.80205 4.70700i 0.155218 0.192162i
\(601\) 8.02007 + 8.02007i 0.327145 + 0.327145i 0.851500 0.524355i \(-0.175693\pi\)
−0.524355 + 0.851500i \(0.675693\pi\)
\(602\) −18.9211 + 2.09719i −0.771166 + 0.0854749i
\(603\) 31.2727 + 12.9536i 1.27352 + 0.527510i
\(604\) −20.8865 + 28.7975i −0.849859 + 1.17175i
\(605\) −6.80709 + 8.87117i −0.276747 + 0.360664i
\(606\) 10.2668 0.812259i 0.417060 0.0329958i
\(607\) 11.2174 19.4291i 0.455300 0.788603i −0.543405 0.839470i \(-0.682865\pi\)
0.998705 + 0.0508676i \(0.0161986\pi\)
\(608\) 10.1170 38.0701i 0.410301 1.54395i
\(609\) −24.3737 + 64.5073i −0.987672 + 2.61397i
\(610\) 11.1949 23.4954i 0.453268 0.951303i
\(611\) −7.42659 0.977729i −0.300448 0.0395547i
\(612\) 52.5234 23.4367i 2.12313 0.947372i
\(613\) 1.07911 + 8.19667i 0.0435849 + 0.331060i 0.999321 + 0.0368360i \(0.0117279\pi\)
−0.955736 + 0.294224i \(0.904939\pi\)
\(614\) −12.1383 + 18.7081i −0.489861 + 0.754999i
\(615\) 32.8953 + 32.8953i 1.32647 + 1.32647i
\(616\) −18.1697 + 4.99518i −0.732079 + 0.201261i
\(617\) 28.3687 28.3687i 1.14208 1.14208i 0.154010 0.988069i \(-0.450781\pi\)
0.988069 0.154010i \(-0.0492189\pi\)
\(618\) −7.03905 33.0493i −0.283152 1.32944i
\(619\) 3.01949 0.397523i 0.121363 0.0159778i −0.0695998 0.997575i \(-0.522172\pi\)
0.190963 + 0.981597i \(0.438839\pi\)
\(620\) −17.1246 + 18.0753i −0.687740 + 0.725921i
\(621\) 1.35722 10.3091i 0.0544634 0.413691i
\(622\) 6.27795 2.22604i 0.251723 0.0892561i
\(623\) −1.68903 10.3129i −0.0676696 0.413179i
\(624\) 17.9912 11.7257i 0.720224 0.469404i
\(625\) 24.4414 + 14.1112i 0.977656 + 0.564450i
\(626\) 2.37461 2.78263i 0.0949086 0.111216i
\(627\) −39.1564 30.0458i −1.56376 1.19991i
\(628\) 4.10471 + 6.68594i 0.163796 + 0.266798i
\(629\) 7.62291 18.4033i 0.303945 0.733789i
\(630\) −6.66757 + 43.6991i −0.265642 + 1.74101i
\(631\) 8.79911 8.79911i 0.350287 0.350287i −0.509929 0.860216i \(-0.670328\pi\)
0.860216 + 0.509929i \(0.170328\pi\)
\(632\) −6.92181 + 23.4739i −0.275335 + 0.933740i
\(633\) 8.81591 32.9014i 0.350401 1.30771i
\(634\) −0.122871 + 0.0626697i −0.00487985 + 0.00248893i
\(635\) 7.92816 6.08349i 0.314619 0.241416i
\(636\) −17.5217 21.6011i −0.694780 0.856541i
\(637\) 13.1018 2.57106i 0.519114 0.101869i
\(638\) −29.7693 14.1842i −1.17858 0.561559i
\(639\) 26.5574 45.9987i 1.05059 1.81968i
\(640\) −4.32480 26.8063i −0.170953 1.05961i
\(641\) 6.70187 + 11.6080i 0.264708 + 0.458488i 0.967487 0.252920i \(-0.0813911\pi\)
−0.702779 + 0.711408i \(0.748058\pi\)
\(642\) 1.67935 1.15520i 0.0662788 0.0455923i
\(643\) 13.9500 + 33.6784i 0.550136 + 1.32815i 0.917377 + 0.398019i \(0.130302\pi\)
−0.367241 + 0.930126i \(0.619698\pi\)
\(644\) −2.05344 + 9.95797i −0.0809169 + 0.392399i
\(645\) −31.7537 13.1528i −1.25030 0.517892i
\(646\) −48.2623 31.3137i −1.89886 1.23202i
\(647\) −4.88005 + 18.2126i −0.191855 + 0.716012i 0.801204 + 0.598391i \(0.204193\pi\)
−0.993059 + 0.117620i \(0.962473\pi\)
\(648\) −0.904719 0.951023i −0.0355407 0.0373597i
\(649\) −3.46591 12.9349i −0.136049 0.507741i
\(650\) −1.37244 1.52299i −0.0538315 0.0597366i
\(651\) 8.82040 37.6095i 0.345699 1.47403i
\(652\) −6.84274 + 12.6275i −0.267982 + 0.494531i
\(653\) −4.96634 + 37.7231i −0.194348 + 1.47622i 0.564760 + 0.825255i \(0.308969\pi\)
−0.759108 + 0.650964i \(0.774365\pi\)
\(654\) 16.3821 19.1970i 0.640591 0.750661i
\(655\) 12.3147 7.10990i 0.481176 0.277807i
\(656\) 27.5062 1.48688i 1.07394 0.0580530i
\(657\) 52.0232i 2.02962i
\(658\) 0.301381 14.6911i 0.0117491 0.572718i
\(659\) 28.0384 11.6139i 1.09222 0.452413i 0.237441 0.971402i \(-0.423691\pi\)
0.854781 + 0.518989i \(0.173691\pi\)
\(660\) −33.0878 7.91493i −1.28794 0.308088i
\(661\) 30.7880 4.05331i 1.19751 0.157656i 0.494722 0.869051i \(-0.335270\pi\)
0.702792 + 0.711396i \(0.251937\pi\)
\(662\) 25.8141 + 8.37580i 1.00330 + 0.325535i
\(663\) −8.11761 30.2953i −0.315262 1.17657i
\(664\) −17.7526 24.3711i −0.688935 0.945784i
\(665\) 40.2990 18.1968i 1.56273 0.705640i
\(666\) −23.7052 1.23257i −0.918558 0.0477611i
\(667\) −14.1158 + 10.8314i −0.546567 + 0.419395i
\(668\) −18.2289 + 8.13401i −0.705299 + 0.314714i
\(669\) −27.4496 + 35.7730i −1.06126 + 1.38306i
\(670\) −13.2273 19.2289i −0.511015 0.742878i
\(671\) −19.3089 −0.745413
\(672\) 26.7499 + 32.5439i 1.03190 + 1.25541i
\(673\) 13.9793 0.538863 0.269431 0.963020i \(-0.413164\pi\)
0.269431 + 0.963020i \(0.413164\pi\)
\(674\) −18.4813 26.8669i −0.711875 1.03487i
\(675\) −2.50378 + 3.26299i −0.0963704 + 0.125592i
\(676\) 7.62968 + 17.0987i 0.293449 + 0.657643i
\(677\) 23.0998 17.7251i 0.887799 0.681232i −0.0606508 0.998159i \(-0.519318\pi\)
0.948450 + 0.316927i \(0.102651\pi\)
\(678\) 47.9021 + 2.49070i 1.83967 + 0.0956548i
\(679\) −3.31625 + 33.2317i −0.127266 + 1.27531i
\(680\) −39.1761 6.15537i −1.50233 0.236048i
\(681\) −16.9231 63.1579i −0.648495 2.42021i
\(682\) 17.5710 + 5.70119i 0.672829 + 0.218310i
\(683\) 13.7542 1.81077i 0.526289 0.0692873i 0.137300 0.990530i \(-0.456158\pi\)
0.388989 + 0.921242i \(0.372824\pi\)
\(684\) −15.9495 + 66.6756i −0.609843 + 2.54941i
\(685\) 1.75469 0.726817i 0.0670433 0.0277702i
\(686\) 7.84422 + 24.9894i 0.299494 + 0.954098i
\(687\) 53.4406i 2.03889i
\(688\) −18.3544 + 8.79167i −0.699755 + 0.335179i
\(689\) −8.16150 + 4.71205i −0.310929 + 0.179515i
\(690\) −11.9160 + 13.9635i −0.453634 + 0.531580i
\(691\) −1.09459 + 8.31426i −0.0416403 + 0.316289i 0.957931 + 0.287000i \(0.0926579\pi\)
−0.999571 + 0.0292898i \(0.990675\pi\)
\(692\) 11.5330 + 6.24965i 0.438419 + 0.237576i
\(693\) 31.3958 9.47968i 1.19263 0.360103i
\(694\) −27.5605 30.5838i −1.04618 1.16095i
\(695\) −7.35292 27.4415i −0.278912 1.04091i
\(696\) −1.83889 + 73.6967i −0.0697031 + 2.79347i
\(697\) 10.4126 38.8603i 0.394405 1.47194i
\(698\) −7.76851 5.04039i −0.294043 0.190782i
\(699\) −13.6214 5.64215i −0.515207 0.213406i
\(700\) 2.67282 3.00500i 0.101023 0.113578i
\(701\) 10.2240 + 24.6829i 0.386155 + 0.932260i 0.990747 + 0.135724i \(0.0433362\pi\)
−0.604592 + 0.796535i \(0.706664\pi\)
\(702\) −12.0266 + 8.27296i −0.453916 + 0.312243i
\(703\) 11.8719 + 20.5627i 0.447756 + 0.775536i
\(704\) −16.5738 + 11.4511i −0.624647 + 0.431580i
\(705\) 13.2647 22.9751i 0.499577 0.865293i
\(706\) −16.9392 8.07106i −0.637516 0.303758i
\(707\) 6.84188 0.215160i 0.257315 0.00809194i
\(708\) −23.2499 + 18.8591i −0.873786 + 0.708768i
\(709\) −12.3050 + 9.44197i −0.462125 + 0.354601i −0.813433 0.581659i \(-0.802404\pi\)
0.351308 + 0.936260i \(0.385737\pi\)
\(710\) −32.6242 + 16.6397i −1.22436 + 0.624478i
\(711\) 11.0239 41.1416i 0.413427 1.54293i
\(712\) −5.34286 9.81145i −0.200232 0.367700i
\(713\) 7.04793 7.04793i 0.263947 0.263947i
\(714\) 57.3133 22.3741i 2.14490 0.837328i
\(715\) −4.41130 + 10.6498i −0.164973 + 0.398281i
\(716\) 33.7458 20.7176i 1.26114 0.774255i
\(717\) 2.39094 + 1.83463i 0.0892913 + 0.0685156i
\(718\) 24.9778 29.2696i 0.932162 1.09233i
\(719\) −31.1442 17.9811i −1.16148 0.670583i −0.209824 0.977739i \(-0.567289\pi\)
−0.951659 + 0.307157i \(0.900622\pi\)
\(720\) 8.68826 + 46.4514i 0.323792 + 1.73114i
\(721\) −3.62999 22.1640i −0.135188 0.825432i
\(722\) 39.3076 13.9377i 1.46288 0.518708i
\(723\) 8.50939 64.6352i 0.316468 2.40381i
\(724\) −19.7253 18.6878i −0.733085 0.694528i
\(725\) 6.97755 0.918613i 0.259140 0.0341164i
\(726\) −3.86339 18.1391i −0.143384 0.673207i
\(727\) 20.7270 20.7270i 0.768722 0.768722i −0.209159 0.977882i \(-0.567073\pi\)
0.977882 + 0.209159i \(0.0670728\pi\)
\(728\) 12.3147 7.21688i 0.456414 0.267475i
\(729\) −30.6962 30.6962i −1.13690 1.13690i
\(730\) −19.5238 + 30.0911i −0.722609 + 1.11372i
\(731\) 3.87963 + 29.4687i 0.143493 + 1.08994i
\(732\) 17.5898 + 39.4201i 0.650137 + 1.45701i
\(733\) 32.0545 + 4.22005i 1.18396 + 0.155871i 0.696685 0.717377i \(-0.254658\pi\)
0.487275 + 0.873249i \(0.337991\pi\)
\(734\) 11.0198 23.1280i 0.406750 0.853672i
\(735\) −9.34469 + 46.3547i −0.344684 + 1.70982i
\(736\) 1.44090 + 10.7736i 0.0531121 + 0.397119i
\(737\) −8.65769 + 14.9956i −0.318910 + 0.552369i
\(738\) −47.7922 + 3.78109i −1.75925 + 0.139184i
\(739\) −20.6995 + 26.9761i −0.761444 + 0.992333i 0.238332 + 0.971184i \(0.423399\pi\)
−0.999776 + 0.0211493i \(0.993267\pi\)
\(740\) 13.2489 + 9.60929i 0.487041 + 0.353244i
\(741\) 34.5394 + 14.3067i 1.26884 + 0.525570i
\(742\) −10.9509 14.8944i −0.402021 0.546790i
\(743\) −20.9462 20.9462i −0.768440 0.768440i 0.209392 0.977832i \(-0.432852\pi\)
−0.977832 + 0.209392i \(0.932852\pi\)
\(744\) −4.36737 41.0656i −0.160116 1.50554i
\(745\) −32.3012 8.65509i −1.18343 0.317098i
\(746\) −28.2526 9.16700i −1.03440 0.335628i
\(747\) 31.9450 + 41.6315i 1.16881 + 1.52322i
\(748\) 8.37934 + 28.2030i 0.306379 + 1.03120i
\(749\) 1.15141 0.713939i 0.0420716 0.0260867i
\(750\) −38.1775 + 13.5370i −1.39404 + 0.494302i
\(751\) 44.3472 + 25.6039i 1.61825 + 0.934299i 0.987372 + 0.158420i \(0.0506398\pi\)
0.630881 + 0.775879i \(0.282693\pi\)
\(752\) −4.87882 14.9319i −0.177912 0.544510i
\(753\) 47.4787 27.4118i 1.73022 0.998942i
\(754\) 24.5617 + 4.54180i 0.894485 + 0.165403i
\(755\) −39.4399 + 16.3366i −1.43537 + 0.594548i
\(756\) −18.7290 21.6608i −0.681167 0.787795i
\(757\) 4.82278 11.6432i 0.175287 0.423180i −0.811680 0.584102i \(-0.801447\pi\)
0.986967 + 0.160922i \(0.0514467\pi\)
\(758\) 38.9283 8.29120i 1.41394 0.301150i
\(759\) 13.1549 + 3.52484i 0.477492 + 0.127944i
\(760\) 34.2482 32.5807i 1.24231 1.18183i
\(761\) −41.4678 + 11.1113i −1.50321 + 0.402783i −0.914173 0.405325i \(-0.867158\pi\)
−0.589034 + 0.808108i \(0.700492\pi\)
\(762\) −0.860643 + 16.5522i −0.0311778 + 0.599623i
\(763\) 11.4823 12.2279i 0.415687 0.442681i
\(764\) −8.44580 10.4122i −0.305558 0.376699i
\(765\) 68.4279 + 9.00870i 2.47401 + 0.325710i
\(766\) 0.637409 + 8.05671i 0.0230305 + 0.291101i
\(767\) 5.07171 + 8.78446i 0.183129 + 0.317188i
\(768\) 38.4761 + 23.4045i 1.38839 + 0.844538i
\(769\) 2.39948 0.0865273 0.0432637 0.999064i \(-0.486224\pi\)
0.0432637 + 0.999064i \(0.486224\pi\)
\(770\) −21.7175 6.29935i −0.782645 0.227013i
\(771\) −5.76721 13.9233i −0.207701 0.501435i
\(772\) −25.3383 + 4.03455i −0.911947 + 0.145207i
\(773\) 0.664020 + 5.04373i