Properties

Label 300.2.r.a.59.8
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 59.8
Character \(\chi\) \(=\) 300.59
Dual form 300.2.r.a.239.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.29016 - 0.579209i) q^{2} +(-1.71582 - 0.236546i) q^{3} +(1.32903 + 1.49455i) q^{4} +(-0.101169 - 2.23378i) q^{5} +(2.07668 + 1.29900i) q^{6} -0.903444 q^{7} +(-0.849014 - 2.69799i) q^{8} +(2.88809 + 0.811741i) q^{9} +O(q^{10})\) \(q+(-1.29016 - 0.579209i) q^{2} +(-1.71582 - 0.236546i) q^{3} +(1.32903 + 1.49455i) q^{4} +(-0.101169 - 2.23378i) q^{5} +(2.07668 + 1.29900i) q^{6} -0.903444 q^{7} +(-0.849014 - 2.69799i) q^{8} +(2.88809 + 0.811741i) q^{9} +(-1.16330 + 2.94053i) q^{10} +(0.0159524 + 0.0115901i) q^{11} +(-1.92686 - 2.87875i) q^{12} +(-1.50613 - 2.07301i) q^{13} +(1.16559 + 0.523283i) q^{14} +(-0.354802 + 3.85670i) q^{15} +(-0.467337 + 3.97261i) q^{16} +(-0.0389111 + 0.119756i) q^{17} +(-3.25594 - 2.72009i) q^{18} +(-5.78437 - 1.87945i) q^{19} +(3.20403 - 3.11997i) q^{20} +(1.55015 + 0.213706i) q^{21} +(-0.0138681 - 0.0241929i) q^{22} +(-4.34613 + 5.98194i) q^{23} +(0.818558 + 4.83011i) q^{24} +(-4.97953 + 0.451980i) q^{25} +(0.742446 + 3.54689i) q^{26} +(-4.76344 - 2.07597i) q^{27} +(-1.20071 - 1.35024i) q^{28} +(-6.74343 + 2.19107i) q^{29} +(2.69159 - 4.77026i) q^{30} +(1.78347 + 0.579484i) q^{31} +(2.90391 - 4.85462i) q^{32} +(-0.0246299 - 0.0236600i) q^{33} +(0.119566 - 0.131967i) q^{34} +(0.0914009 + 2.01809i) q^{35} +(2.62519 + 5.39522i) q^{36} +(2.02683 + 2.78969i) q^{37} +(6.37417 + 5.77516i) q^{38} +(2.09389 + 3.91319i) q^{39} +(-5.94083 + 2.16946i) q^{40} +(-2.58437 - 3.55708i) q^{41} +(-1.87616 - 1.17358i) q^{42} -7.15556 q^{43} +(0.00387935 + 0.0392452i) q^{44} +(1.52106 - 6.53348i) q^{45} +(9.07201 - 5.20035i) q^{46} +(5.03956 - 1.63745i) q^{47} +(1.74157 - 6.70574i) q^{48} -6.18379 q^{49} +(6.68619 + 2.30106i) q^{50} +(0.0950924 - 0.196276i) q^{51} +(1.09651 - 5.00609i) q^{52} +(0.0726282 + 0.223527i) q^{53} +(4.94319 + 5.43736i) q^{54} +(0.0242758 - 0.0368067i) q^{55} +(0.767037 + 2.43749i) q^{56} +(9.48037 + 4.59308i) q^{57} +(9.96920 + 1.07902i) q^{58} +(12.0918 - 8.78519i) q^{59} +(-6.23556 + 4.59541i) q^{60} +(5.52424 + 4.01360i) q^{61} +(-1.96532 - 1.78063i) q^{62} +(-2.60923 - 0.733363i) q^{63} +(-6.55835 + 4.58127i) q^{64} +(-4.47828 + 3.57409i) q^{65} +(0.0180725 + 0.0447911i) q^{66} +(4.13519 - 12.7268i) q^{67} +(-0.230695 + 0.101006i) q^{68} +(8.87220 - 9.23589i) q^{69} +(1.05098 - 2.65661i) q^{70} +(-3.59697 - 11.0703i) q^{71} +(-0.261957 - 8.48124i) q^{72} +(-3.17175 + 4.36554i) q^{73} +(-0.999124 - 4.77311i) q^{74} +(8.65090 + 0.402370i) q^{75} +(-4.87869 - 11.1429i) q^{76} +(-0.0144121 - 0.0104710i) q^{77} +(-0.434904 - 6.26145i) q^{78} +(0.586897 - 0.190695i) q^{79} +(8.92120 + 0.642022i) q^{80} +(7.68215 + 4.68877i) q^{81} +(1.27396 + 6.08610i) q^{82} +(-11.0296 - 3.58375i) q^{83} +(1.74081 + 2.60079i) q^{84} +(0.271445 + 0.0748032i) q^{85} +(9.23183 + 4.14457i) q^{86} +(12.0888 - 2.16436i) q^{87} +(0.0177262 - 0.0528797i) q^{88} +(-5.84353 + 8.04293i) q^{89} +(-5.74667 + 7.54823i) q^{90} +(1.36071 + 1.87285i) q^{91} +(-14.7164 + 1.45470i) q^{92} +(-2.92304 - 1.41616i) q^{93} +(-7.45028 - 0.806381i) q^{94} +(-3.61308 + 13.1111i) q^{95} +(-6.13093 + 7.64275i) q^{96} +(12.3121 - 4.00046i) q^{97} +(7.97809 + 3.58171i) q^{98} +(0.0366638 + 0.0464225i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.29016 0.579209i −0.912282 0.409563i
\(3\) −1.71582 0.236546i −0.990630 0.136570i
\(4\) 1.32903 + 1.49455i 0.664517 + 0.747273i
\(5\) −0.101169 2.23378i −0.0452443 0.998976i
\(6\) 2.07668 + 1.29900i 0.847800 + 0.530315i
\(7\) −0.903444 −0.341470 −0.170735 0.985317i \(-0.554614\pi\)
−0.170735 + 0.985317i \(0.554614\pi\)
\(8\) −0.849014 2.69799i −0.300172 0.953885i
\(9\) 2.88809 + 0.811741i 0.962697 + 0.270580i
\(10\) −1.16330 + 2.94053i −0.367868 + 0.929878i
\(11\) 0.0159524 + 0.0115901i 0.00480983 + 0.00349455i 0.590188 0.807266i \(-0.299054\pi\)
−0.585378 + 0.810761i \(0.699054\pi\)
\(12\) −1.92686 2.87875i −0.556236 0.831025i
\(13\) −1.50613 2.07301i −0.417726 0.574950i 0.547356 0.836900i \(-0.315635\pi\)
−0.965082 + 0.261950i \(0.915635\pi\)
\(14\) 1.16559 + 0.523283i 0.311517 + 0.139853i
\(15\) −0.354802 + 3.85670i −0.0916096 + 0.995795i
\(16\) −0.467337 + 3.97261i −0.116834 + 0.993151i
\(17\) −0.0389111 + 0.119756i −0.00943734 + 0.0290451i −0.955664 0.294458i \(-0.904861\pi\)
0.946227 + 0.323504i \(0.104861\pi\)
\(18\) −3.25594 2.72009i −0.767432 0.641130i
\(19\) −5.78437 1.87945i −1.32702 0.431176i −0.442123 0.896954i \(-0.645775\pi\)
−0.884902 + 0.465778i \(0.845775\pi\)
\(20\) 3.20403 3.11997i 0.716442 0.697646i
\(21\) 1.55015 + 0.213706i 0.338270 + 0.0466345i
\(22\) −0.0138681 0.0241929i −0.00295669 0.00515794i
\(23\) −4.34613 + 5.98194i −0.906232 + 1.24732i 0.0622055 + 0.998063i \(0.480187\pi\)
−0.968437 + 0.249258i \(0.919813\pi\)
\(24\) 0.818558 + 4.83011i 0.167087 + 0.985942i
\(25\) −4.97953 + 0.451980i −0.995906 + 0.0903959i
\(26\) 0.742446 + 3.54689i 0.145606 + 0.695602i
\(27\) −4.76344 2.07597i −0.916724 0.399521i
\(28\) −1.20071 1.35024i −0.226913 0.255171i
\(29\) −6.74343 + 2.19107i −1.25222 + 0.406872i −0.858717 0.512450i \(-0.828738\pi\)
−0.393506 + 0.919322i \(0.628738\pi\)
\(30\) 2.69159 4.77026i 0.491414 0.870926i
\(31\) 1.78347 + 0.579484i 0.320321 + 0.104078i 0.464764 0.885435i \(-0.346139\pi\)
−0.144443 + 0.989513i \(0.546139\pi\)
\(32\) 2.90391 4.85462i 0.513344 0.858183i
\(33\) −0.0246299 0.0236600i −0.00428752 0.00411868i
\(34\) 0.119566 0.131967i 0.0205053 0.0226322i
\(35\) 0.0914009 + 2.01809i 0.0154496 + 0.341120i
\(36\) 2.62519 + 5.39522i 0.437531 + 0.899203i
\(37\) 2.02683 + 2.78969i 0.333209 + 0.458623i 0.942443 0.334368i \(-0.108523\pi\)
−0.609234 + 0.792991i \(0.708523\pi\)
\(38\) 6.37417 + 5.77516i 1.03403 + 0.936854i
\(39\) 2.09389 + 3.91319i 0.335291 + 0.626612i
\(40\) −5.94083 + 2.16946i −0.939327 + 0.343022i
\(41\) −2.58437 3.55708i −0.403611 0.555523i 0.558035 0.829818i \(-0.311556\pi\)
−0.961646 + 0.274295i \(0.911556\pi\)
\(42\) −1.87616 1.17358i −0.289498 0.181087i
\(43\) −7.15556 −1.09121 −0.545607 0.838041i \(-0.683701\pi\)
−0.545607 + 0.838041i \(0.683701\pi\)
\(44\) 0.00387935 + 0.0392452i 0.000584833 + 0.00591644i
\(45\) 1.52106 6.53348i 0.226747 0.973954i
\(46\) 9.07201 5.20035i 1.33759 0.766750i
\(47\) 5.03956 1.63745i 0.735096 0.238847i 0.0825400 0.996588i \(-0.473697\pi\)
0.652556 + 0.757741i \(0.273697\pi\)
\(48\) 1.74157 6.70574i 0.251374 0.967890i
\(49\) −6.18379 −0.883398
\(50\) 6.68619 + 2.30106i 0.945570 + 0.325419i
\(51\) 0.0950924 0.196276i 0.0133156 0.0274841i
\(52\) 1.09651 5.00609i 0.152059 0.694220i
\(53\) 0.0726282 + 0.223527i 0.00997625 + 0.0307037i 0.955921 0.293625i \(-0.0948616\pi\)
−0.945944 + 0.324329i \(0.894862\pi\)
\(54\) 4.94319 + 5.43736i 0.672682 + 0.739931i
\(55\) 0.0242758 0.0368067i 0.00327335 0.00496301i
\(56\) 0.767037 + 2.43749i 0.102500 + 0.325723i
\(57\) 9.48037 + 4.59308i 1.25571 + 0.608368i
\(58\) 9.96920 + 1.07902i 1.30902 + 0.141682i
\(59\) 12.0918 8.78519i 1.57422 1.14373i 0.651243 0.758869i \(-0.274248\pi\)
0.922972 0.384866i \(-0.125752\pi\)
\(60\) −6.23556 + 4.59541i −0.805007 + 0.593265i
\(61\) 5.52424 + 4.01360i 0.707307 + 0.513889i 0.882304 0.470680i \(-0.155992\pi\)
−0.174997 + 0.984569i \(0.555992\pi\)
\(62\) −1.96532 1.78063i −0.249596 0.226140i
\(63\) −2.60923 0.733363i −0.328732 0.0923951i
\(64\) −6.55835 + 4.58127i −0.819794 + 0.572659i
\(65\) −4.47828 + 3.57409i −0.555462 + 0.443311i
\(66\) 0.0180725 + 0.0447911i 0.00222456 + 0.00551341i
\(67\) 4.13519 12.7268i 0.505194 1.55483i −0.295250 0.955420i \(-0.595403\pi\)
0.800444 0.599407i \(-0.204597\pi\)
\(68\) −0.230695 + 0.101006i −0.0279759 + 0.0122487i
\(69\) 8.87220 9.23589i 1.06809 1.11187i
\(70\) 1.05098 2.65661i 0.125616 0.317525i
\(71\) −3.59697 11.0703i −0.426881 1.31381i −0.901181 0.433443i \(-0.857299\pi\)
0.474300 0.880363i \(-0.342701\pi\)
\(72\) −0.261957 8.48124i −0.0308719 0.999523i
\(73\) −3.17175 + 4.36554i −0.371225 + 0.510948i −0.953233 0.302235i \(-0.902267\pi\)
0.582008 + 0.813183i \(0.302267\pi\)
\(74\) −0.999124 4.77311i −0.116146 0.554863i
\(75\) 8.65090 + 0.402370i 0.998920 + 0.0464617i
\(76\) −4.87869 11.1429i −0.559624 1.27817i
\(77\) −0.0144121 0.0104710i −0.00164241 0.00119328i
\(78\) −0.434904 6.26145i −0.0492432 0.708970i
\(79\) 0.586897 0.190695i 0.0660311 0.0214548i −0.275815 0.961211i \(-0.588948\pi\)
0.341846 + 0.939756i \(0.388948\pi\)
\(80\) 8.92120 + 0.642022i 0.997420 + 0.0717803i
\(81\) 7.68215 + 4.68877i 0.853572 + 0.520974i
\(82\) 1.27396 + 6.08610i 0.140686 + 0.672097i
\(83\) −11.0296 3.58375i −1.21066 0.393367i −0.366988 0.930226i \(-0.619611\pi\)
−0.843672 + 0.536858i \(0.819611\pi\)
\(84\) 1.74081 + 2.60079i 0.189938 + 0.283770i
\(85\) 0.271445 + 0.0748032i 0.0294424 + 0.00811355i
\(86\) 9.23183 + 4.14457i 0.995494 + 0.446920i
\(87\) 12.0888 2.16436i 1.29606 0.232044i
\(88\) 0.0177262 0.0528797i 0.00188962 0.00563699i
\(89\) −5.84353 + 8.04293i −0.619413 + 0.852549i −0.997310 0.0732989i \(-0.976647\pi\)
0.377897 + 0.925848i \(0.376647\pi\)
\(90\) −5.74667 + 7.54823i −0.605752 + 0.795654i
\(91\) 1.36071 + 1.87285i 0.142641 + 0.196328i
\(92\) −14.7164 + 1.45470i −1.53430 + 0.151663i
\(93\) −2.92304 1.41616i −0.303105 0.146849i
\(94\) −7.45028 0.806381i −0.768438 0.0831718i
\(95\) −3.61308 + 13.1111i −0.370695 + 1.34517i
\(96\) −6.13093 + 7.64275i −0.625736 + 0.780035i
\(97\) 12.3121 4.00046i 1.25011 0.406185i 0.392149 0.919902i \(-0.371732\pi\)
0.857960 + 0.513717i \(0.171732\pi\)
\(98\) 7.97809 + 3.58171i 0.805908 + 0.361807i
\(99\) 0.0366638 + 0.0464225i 0.00368486 + 0.00466564i
\(100\) −7.29347 6.84144i −0.729347 0.684144i
\(101\) 3.98290i 0.396314i −0.980170 0.198157i \(-0.936504\pi\)
0.980170 0.198157i \(-0.0634955\pi\)
\(102\) −0.236369 + 0.198149i −0.0234041 + 0.0196197i
\(103\) 0.978409 + 3.01123i 0.0964055 + 0.296705i 0.987617 0.156882i \(-0.0501441\pi\)
−0.891212 + 0.453587i \(0.850144\pi\)
\(104\) −4.31425 + 5.82355i −0.423047 + 0.571046i
\(105\) 0.320544 3.48431i 0.0312819 0.340034i
\(106\) 0.0357665 0.330452i 0.00347395 0.0320964i
\(107\) 8.63326i 0.834609i 0.908767 + 0.417304i \(0.137025\pi\)
−0.908767 + 0.417304i \(0.862975\pi\)
\(108\) −3.22814 9.87821i −0.310628 0.950532i
\(109\) −9.01184 + 6.54748i −0.863177 + 0.627135i −0.928748 0.370713i \(-0.879113\pi\)
0.0655701 + 0.997848i \(0.479113\pi\)
\(110\) −0.0526385 + 0.0334258i −0.00501888 + 0.00318703i
\(111\) −2.81779 5.26606i −0.267453 0.499832i
\(112\) 0.422213 3.58903i 0.0398954 0.339131i
\(113\) 1.95622 1.42128i 0.184026 0.133703i −0.491958 0.870619i \(-0.663719\pi\)
0.675984 + 0.736916i \(0.263719\pi\)
\(114\) −9.57085 11.4169i −0.896393 1.06929i
\(115\) 13.8020 + 9.10311i 1.28705 + 0.848870i
\(116\) −12.2369 7.16636i −1.13617 0.665380i
\(117\) −2.66710 7.20964i −0.246573 0.666532i
\(118\) −20.6888 + 4.33065i −1.90456 + 0.398669i
\(119\) 0.0351541 0.108193i 0.00322257 0.00991804i
\(120\) 10.7066 2.31714i 0.977373 0.211525i
\(121\) −3.39907 10.4613i −0.309006 0.951023i
\(122\) −4.80246 8.37788i −0.434794 0.758498i
\(123\) 3.59291 + 6.71464i 0.323962 + 0.605439i
\(124\) 1.50423 + 3.43563i 0.135083 + 0.308529i
\(125\) 1.51340 + 11.0774i 0.135362 + 0.990796i
\(126\) 2.94156 + 2.45745i 0.262055 + 0.218927i
\(127\) 10.5934 + 7.69654i 0.940011 + 0.682958i 0.948423 0.317007i \(-0.102678\pi\)
−0.00841253 + 0.999965i \(0.502678\pi\)
\(128\) 11.1148 2.11192i 0.982423 0.186669i
\(129\) 12.2777 + 1.69262i 1.08099 + 0.149027i
\(130\) 7.84785 2.01730i 0.688302 0.176929i
\(131\) 5.75685 17.7178i 0.502978 1.54801i −0.301165 0.953572i \(-0.597375\pi\)
0.804143 0.594436i \(-0.202625\pi\)
\(132\) 0.00262703 0.0682555i 0.000228654 0.00594088i
\(133\) 5.22585 + 1.69798i 0.453139 + 0.147234i
\(134\) −12.7065 + 14.0245i −1.09768 + 1.21153i
\(135\) −4.15534 + 10.8505i −0.357635 + 0.933861i
\(136\) 0.356138 + 0.00330738i 0.0305385 + 0.000283605i
\(137\) −15.8417 + 11.5097i −1.35345 + 0.983338i −0.354617 + 0.935012i \(0.615389\pi\)
−0.998832 + 0.0483266i \(0.984611\pi\)
\(138\) −16.7961 + 6.77693i −1.42978 + 0.576891i
\(139\) −5.11629 + 7.04197i −0.433958 + 0.597292i −0.968856 0.247625i \(-0.920350\pi\)
0.534898 + 0.844917i \(0.320350\pi\)
\(140\) −2.89466 + 2.81872i −0.244643 + 0.238225i
\(141\) −9.03433 + 1.61749i −0.760828 + 0.136217i
\(142\) −1.77136 + 16.3659i −0.148649 + 1.37340i
\(143\) 0.0505258i 0.00422518i
\(144\) −4.57444 + 11.0939i −0.381203 + 0.924491i
\(145\) 5.57660 + 14.8417i 0.463111 + 1.23253i
\(146\) 6.62063 3.79515i 0.547927 0.314089i
\(147\) 10.6103 + 1.46275i 0.875121 + 0.120646i
\(148\) −1.47560 + 6.73679i −0.121293 + 0.553761i
\(149\) 20.0993i 1.64660i −0.567606 0.823300i \(-0.692130\pi\)
0.567606 0.823300i \(-0.307870\pi\)
\(150\) −10.9280 5.52980i −0.892268 0.451506i
\(151\) 6.79426i 0.552909i 0.961027 + 0.276455i \(0.0891595\pi\)
−0.961027 + 0.276455i \(0.910840\pi\)
\(152\) −0.159750 + 17.2019i −0.0129575 + 1.39526i
\(153\) −0.209590 + 0.314281i −0.0169443 + 0.0254081i
\(154\) 0.0125290 + 0.0218569i 0.00100962 + 0.00176128i
\(155\) 1.11401 4.04250i 0.0894792 0.324702i
\(156\) −3.06559 + 8.33018i −0.245444 + 0.666948i
\(157\) 16.6707i 1.33046i −0.746637 0.665232i \(-0.768333\pi\)
0.746637 0.665232i \(-0.231667\pi\)
\(158\) −0.867645 0.0939095i −0.0690261 0.00747104i
\(159\) −0.0717428 0.400712i −0.00568957 0.0317785i
\(160\) −11.1379 5.99555i −0.880530 0.473990i
\(161\) 3.92649 5.40435i 0.309451 0.425923i
\(162\) −7.19544 10.4988i −0.565327 0.824867i
\(163\) −1.13970 + 0.828038i −0.0892679 + 0.0648570i −0.631524 0.775356i \(-0.717570\pi\)
0.542256 + 0.840213i \(0.317570\pi\)
\(164\) 1.88151 8.58994i 0.146921 0.670762i
\(165\) −0.0503595 + 0.0574114i −0.00392048 + 0.00446947i
\(166\) 12.1543 + 11.0121i 0.943355 + 0.854703i
\(167\) 0.226354 + 0.0735469i 0.0175158 + 0.00569123i 0.317762 0.948171i \(-0.397069\pi\)
−0.300246 + 0.953862i \(0.597069\pi\)
\(168\) −0.739521 4.36374i −0.0570553 0.336670i
\(169\) 1.98827 6.11927i 0.152944 0.470713i
\(170\) −0.306882 0.253732i −0.0235367 0.0194603i
\(171\) −15.1802 10.1234i −1.16086 0.774159i
\(172\) −9.50999 10.6943i −0.725130 0.815434i
\(173\) −1.78034 1.29349i −0.135357 0.0983426i 0.518046 0.855352i \(-0.326659\pi\)
−0.653403 + 0.757010i \(0.726659\pi\)
\(174\) −16.8501 4.20957i −1.27741 0.319127i
\(175\) 4.49873 0.408338i 0.340072 0.0308675i
\(176\) −0.0534980 + 0.0579561i −0.00403257 + 0.00436861i
\(177\) −22.8254 + 12.2136i −1.71567 + 0.918028i
\(178\) 12.1976 6.99205i 0.914251 0.524077i
\(179\) −2.98700 9.19303i −0.223259 0.687119i −0.998464 0.0554096i \(-0.982354\pi\)
0.775205 0.631710i \(-0.217646\pi\)
\(180\) 11.7861 6.40992i 0.878487 0.477767i
\(181\) −1.94585 + 5.98871i −0.144634 + 0.445137i −0.996964 0.0778674i \(-0.975189\pi\)
0.852330 + 0.523005i \(0.175189\pi\)
\(182\) −0.670759 3.20442i −0.0497200 0.237527i
\(183\) −8.52922 8.19336i −0.630498 0.605670i
\(184\) 19.8292 + 6.64710i 1.46183 + 0.490030i
\(185\) 6.02650 4.80972i 0.443077 0.353618i
\(186\) 2.95094 + 3.52013i 0.216374 + 0.258109i
\(187\) −0.00200871 + 0.00145941i −0.000146892 + 0.000106723i
\(188\) 9.14500 + 5.35563i 0.666968 + 0.390599i
\(189\) 4.30350 + 1.87552i 0.313034 + 0.136424i
\(190\) 12.2555 14.8228i 0.889111 1.07536i
\(191\) −15.1282 + 10.9913i −1.09464 + 0.795303i −0.980177 0.198124i \(-0.936515\pi\)
−0.114464 + 0.993427i \(0.536515\pi\)
\(192\) 12.3366 6.30930i 0.890321 0.455334i
\(193\) 19.5438i 1.40679i −0.710798 0.703396i \(-0.751666\pi\)
0.710798 0.703396i \(-0.248334\pi\)
\(194\) −18.2017 1.97007i −1.30681 0.141442i
\(195\) 8.52936 5.07319i 0.610800 0.363298i
\(196\) −8.21846 9.24196i −0.587033 0.660140i
\(197\) 1.38996 + 4.27787i 0.0990308 + 0.304785i 0.988283 0.152631i \(-0.0487747\pi\)
−0.889252 + 0.457417i \(0.848775\pi\)
\(198\) −0.0204140 0.0811286i −0.00145076 0.00576556i
\(199\) 19.0412i 1.34979i −0.737912 0.674897i \(-0.764188\pi\)
0.737912 0.674897i \(-0.235812\pi\)
\(200\) 5.44713 + 13.0510i 0.385170 + 0.922846i
\(201\) −10.1057 + 20.8588i −0.712803 + 1.47127i
\(202\) −2.30693 + 5.13859i −0.162315 + 0.361550i
\(203\) 6.09231 1.97951i 0.427597 0.138935i
\(204\) 0.419725 0.118737i 0.0293866 0.00831329i
\(205\) −7.68427 + 6.13278i −0.536693 + 0.428332i
\(206\) 0.481827 4.45168i 0.0335705 0.310163i
\(207\) −17.4078 + 13.7485i −1.20993 + 0.955584i
\(208\) 8.93913 5.01447i 0.619817 0.347691i
\(209\) −0.0704915 0.0970232i −0.00487600 0.00671123i
\(210\) −2.43170 + 4.30966i −0.167803 + 0.297395i
\(211\) 6.36569 8.76162i 0.438232 0.603175i −0.531586 0.847004i \(-0.678404\pi\)
0.969818 + 0.243829i \(0.0784037\pi\)
\(212\) −0.237545 + 0.405621i −0.0163147 + 0.0278581i
\(213\) 3.55312 + 19.8456i 0.243456 + 1.35980i
\(214\) 5.00046 11.1383i 0.341825 0.761399i
\(215\) 0.723923 + 15.9839i 0.0493712 + 1.09010i
\(216\) −1.55673 + 14.6143i −0.105922 + 0.994374i
\(217\) −1.61127 0.523532i −0.109380 0.0355397i
\(218\) 15.4191 3.22757i 1.04431 0.218599i
\(219\) 6.47481 6.74023i 0.437527 0.455462i
\(220\) 0.0872727 0.0126360i 0.00588392 0.000851920i
\(221\) 0.306861 0.0997053i 0.0206417 0.00670691i
\(222\) 0.585259 + 8.42615i 0.0392800 + 0.565526i
\(223\) 14.2795 + 10.3746i 0.956224 + 0.694738i 0.952271 0.305254i \(-0.0987415\pi\)
0.00395365 + 0.999992i \(0.498742\pi\)
\(224\) −2.62352 + 4.38588i −0.175291 + 0.293044i
\(225\) −14.7482 2.73673i −0.983215 0.182449i
\(226\) −3.34706 + 0.700617i −0.222643 + 0.0466043i
\(227\) 1.59211 2.19135i 0.105672 0.145445i −0.752906 0.658128i \(-0.771349\pi\)
0.858578 + 0.512683i \(0.171349\pi\)
\(228\) 5.73516 + 20.2732i 0.379820 + 1.34263i
\(229\) 2.95113 + 9.08265i 0.195016 + 0.600199i 0.999976 + 0.00686958i \(0.00218667\pi\)
−0.804960 + 0.593329i \(0.797813\pi\)
\(230\) −12.5342 19.7387i −0.826483 1.30153i
\(231\) 0.0222517 + 0.0213755i 0.00146406 + 0.00140641i
\(232\) 11.6368 + 16.3335i 0.763991 + 1.07235i
\(233\) 7.82413 24.0802i 0.512576 1.57755i −0.275074 0.961423i \(-0.588702\pi\)
0.787650 0.616123i \(-0.211298\pi\)
\(234\) −0.734902 + 10.8464i −0.0480420 + 0.709052i
\(235\) −4.16756 11.0916i −0.271861 0.723537i
\(236\) 29.2003 + 6.39591i 1.90078 + 0.416338i
\(237\) −1.05212 + 0.188370i −0.0683425 + 0.0122359i
\(238\) −0.108021 + 0.119225i −0.00700195 + 0.00772821i
\(239\) −2.53026 1.83834i −0.163669 0.118912i 0.502936 0.864324i \(-0.332253\pi\)
−0.666605 + 0.745411i \(0.732253\pi\)
\(240\) −15.1553 3.21187i −0.978272 0.207325i
\(241\) 16.2078 11.7757i 1.04404 0.758539i 0.0729691 0.997334i \(-0.476753\pi\)
0.971070 + 0.238795i \(0.0767525\pi\)
\(242\) −1.67391 + 15.4655i −0.107603 + 0.994158i
\(243\) −12.0721 9.86227i −0.774426 0.632665i
\(244\) 1.34340 + 13.5904i 0.0860023 + 0.870039i
\(245\) 0.625610 + 13.8132i 0.0399687 + 0.882494i
\(246\) −0.746252 10.7440i −0.0475793 0.685013i
\(247\) 4.81589 + 14.8218i 0.306427 + 0.943087i
\(248\) 0.0492551 5.30378i 0.00312770 0.336790i
\(249\) 18.0772 + 8.75809i 1.14559 + 0.555021i
\(250\) 4.46362 15.1683i 0.282304 0.959325i
\(251\) 10.7667 0.679590 0.339795 0.940499i \(-0.389642\pi\)
0.339795 + 0.940499i \(0.389642\pi\)
\(252\) −2.37171 4.87428i −0.149404 0.307051i
\(253\) −0.138663 + 0.0450542i −0.00871764 + 0.00283253i
\(254\) −9.20927 16.0656i −0.577841 1.00804i
\(255\) −0.448058 0.192558i −0.0280585 0.0120585i
\(256\) −15.5632 3.71309i −0.972699 0.232068i
\(257\) −10.3946 −0.648396 −0.324198 0.945989i \(-0.605094\pi\)
−0.324198 + 0.945989i \(0.605094\pi\)
\(258\) −14.8598 9.29509i −0.925131 0.578687i
\(259\) −1.83113 2.52033i −0.113781 0.156606i
\(260\) −11.2934 1.94290i −0.700388 0.120494i
\(261\) −21.2542 + 0.854101i −1.31560 + 0.0528675i
\(262\) −17.6896 + 19.5244i −1.09286 + 1.20622i
\(263\) 5.84833 + 8.04953i 0.360623 + 0.496355i 0.950322 0.311268i \(-0.100754\pi\)
−0.589699 + 0.807623i \(0.700754\pi\)
\(264\) −0.0429235 + 0.0865390i −0.00264176 + 0.00532611i
\(265\) 0.491961 0.184849i 0.0302209 0.0113552i
\(266\) −5.75871 5.21753i −0.353089 0.319907i
\(267\) 11.9290 12.4180i 0.730042 0.759968i
\(268\) 24.5166 10.7341i 1.49759 0.655691i
\(269\) 17.1210 + 5.56295i 1.04389 + 0.339179i 0.780266 0.625448i \(-0.215084\pi\)
0.263619 + 0.964627i \(0.415084\pi\)
\(270\) 11.6458 11.5921i 0.708739 0.705471i
\(271\) −31.0279 + 10.0816i −1.88481 + 0.612412i −0.900819 + 0.434195i \(0.857033\pi\)
−0.983991 + 0.178217i \(0.942967\pi\)
\(272\) −0.457559 0.210545i −0.0277436 0.0127662i
\(273\) −1.89172 3.53535i −0.114492 0.213969i
\(274\) 27.1049 5.67368i 1.63747 0.342760i
\(275\) −0.0846740 0.0505031i −0.00510603 0.00304545i
\(276\) 25.5949 + 0.985102i 1.54063 + 0.0592962i
\(277\) 8.71863 12.0002i 0.523852 0.721020i −0.462326 0.886710i \(-0.652985\pi\)
0.986178 + 0.165690i \(0.0529851\pi\)
\(278\) 10.6796 6.12188i 0.640521 0.367166i
\(279\) 4.68043 + 3.12132i 0.280210 + 0.186869i
\(280\) 5.36721 1.95999i 0.320752 0.117132i
\(281\) 3.16219 + 1.02746i 0.188640 + 0.0612929i 0.401814 0.915721i \(-0.368380\pi\)
−0.213173 + 0.977014i \(0.568380\pi\)
\(282\) 12.5926 + 3.14594i 0.749879 + 0.187338i
\(283\) −0.507133 + 1.56079i −0.0301459 + 0.0927796i −0.964997 0.262259i \(-0.915532\pi\)
0.934852 + 0.355039i \(0.115532\pi\)
\(284\) 11.7646 20.0887i 0.698102 1.19204i
\(285\) 9.30079 21.6417i 0.550931 1.28194i
\(286\) −0.0292650 + 0.0651864i −0.00173047 + 0.00385455i
\(287\) 2.33484 + 3.21362i 0.137821 + 0.189694i
\(288\) 12.3275 11.6634i 0.726402 0.687270i
\(289\) 13.7405 + 9.98303i 0.808262 + 0.587237i
\(290\) 1.40171 22.3782i 0.0823110 1.31409i
\(291\) −22.0717 + 3.95169i −1.29387 + 0.231652i
\(292\) −10.7399 + 1.06162i −0.628503 + 0.0621268i
\(293\) 16.5822 0.968744 0.484372 0.874862i \(-0.339048\pi\)
0.484372 + 0.874862i \(0.339048\pi\)
\(294\) −12.8417 8.03275i −0.748946 0.468480i
\(295\) −20.8475 26.1216i −1.21379 1.52086i
\(296\) 5.80577 7.83687i 0.337454 0.455509i
\(297\) −0.0519276 0.0883254i −0.00301314 0.00512516i
\(298\) −11.6417 + 25.9314i −0.674386 + 1.50216i
\(299\) 18.9465 1.09570
\(300\) 10.8960 + 13.4639i 0.629080 + 0.777341i
\(301\) 6.46465 0.372616
\(302\) 3.93530 8.76569i 0.226451 0.504409i
\(303\) −0.942139 + 6.83395i −0.0541245 + 0.392600i
\(304\) 10.1696 22.1007i 0.583265 1.26756i
\(305\) 8.40660 12.7460i 0.481361 0.729833i
\(306\) 0.452439 0.284077i 0.0258642 0.0162396i
\(307\) −21.4016 −1.22146 −0.610728 0.791841i \(-0.709123\pi\)
−0.610728 + 0.791841i \(0.709123\pi\)
\(308\) −0.00350477 0.0354559i −0.000199703 0.00202029i
\(309\) −0.966481 5.39818i −0.0549812 0.307092i
\(310\) −3.77870 + 4.57024i −0.214616 + 0.259572i
\(311\) 16.3800 + 11.9008i 0.928824 + 0.674830i 0.945705 0.325027i \(-0.105373\pi\)
−0.0168804 + 0.999858i \(0.505373\pi\)
\(312\) 8.78002 8.97166i 0.497071 0.507920i
\(313\) −15.2080 20.9320i −0.859608 1.18315i −0.981663 0.190626i \(-0.938948\pi\)
0.122054 0.992523i \(-0.461052\pi\)
\(314\) −9.65579 + 21.5078i −0.544908 + 1.21376i
\(315\) −1.37420 + 5.90264i −0.0774272 + 0.332576i
\(316\) 1.06501 + 0.623706i 0.0599114 + 0.0350862i
\(317\) −3.37828 + 10.3973i −0.189743 + 0.583969i −0.999998 0.00210901i \(-0.999329\pi\)
0.810255 + 0.586078i \(0.199329\pi\)
\(318\) −0.139536 + 0.558537i −0.00782479 + 0.0313212i
\(319\) −0.132969 0.0432041i −0.00744482 0.00241897i
\(320\) 10.8970 + 14.1864i 0.609163 + 0.793045i
\(321\) 2.04216 14.8131i 0.113982 0.826789i
\(322\) −8.19606 + 4.69823i −0.456748 + 0.261822i
\(323\) 0.450153 0.619582i 0.0250472 0.0344745i
\(324\) 3.20226 + 17.7129i 0.177903 + 0.984048i
\(325\) 8.43679 + 9.64189i 0.467989 + 0.534836i
\(326\) 1.95000 0.408181i 0.108001 0.0226070i
\(327\) 17.0115 9.10260i 0.940738 0.503375i
\(328\) −7.40282 + 9.99263i −0.408752 + 0.551751i
\(329\) −4.55297 + 1.47935i −0.251013 + 0.0815591i
\(330\) 0.0982250 0.0449013i 0.00540711 0.00247174i
\(331\) −4.95255 1.60918i −0.272217 0.0884485i 0.169728 0.985491i \(-0.445711\pi\)
−0.441944 + 0.897042i \(0.645711\pi\)
\(332\) −9.30269 21.2472i −0.510551 1.16609i
\(333\) 3.58916 + 9.70215i 0.196685 + 0.531675i
\(334\) −0.249434 0.225994i −0.0136484 0.0123658i
\(335\) −28.8472 7.94954i −1.57609 0.434330i
\(336\) −1.57341 + 6.05826i −0.0858367 + 0.330505i
\(337\) 1.67846 + 2.31020i 0.0914314 + 0.125845i 0.852282 0.523082i \(-0.175218\pi\)
−0.760851 + 0.648927i \(0.775218\pi\)
\(338\) −6.10953 + 6.74323i −0.332315 + 0.366783i
\(339\) −3.69272 + 1.97592i −0.200561 + 0.107317i
\(340\) 0.248963 + 0.505104i 0.0135019 + 0.0273931i
\(341\) 0.0217343 + 0.0299148i 0.00117698 + 0.00161997i
\(342\) 13.7213 + 21.8534i 0.741961 + 1.18169i
\(343\) 11.9108 0.643124
\(344\) 6.07517 + 19.3057i 0.327551 + 1.04089i
\(345\) −21.5285 18.8841i −1.15906 1.01669i
\(346\) 1.54773 + 2.70001i 0.0832063 + 0.145153i
\(347\) 8.19771 2.66360i 0.440076 0.142989i −0.0805945 0.996747i \(-0.525682\pi\)
0.520671 + 0.853757i \(0.325682\pi\)
\(348\) 19.3012 + 15.1908i 1.03465 + 0.814312i
\(349\) −33.7741 −1.80789 −0.903944 0.427652i \(-0.859341\pi\)
−0.903944 + 0.427652i \(0.859341\pi\)
\(350\) −6.04060 2.07888i −0.322884 0.111121i
\(351\) 2.87086 + 13.0014i 0.153235 + 0.693961i
\(352\) 0.102590 0.0437862i 0.00546806 0.00233381i
\(353\) 3.85991 + 11.8796i 0.205442 + 0.632287i 0.999695 + 0.0246990i \(0.00786273\pi\)
−0.794252 + 0.607588i \(0.792137\pi\)
\(354\) 36.5227 2.53677i 1.94116 0.134828i
\(355\) −24.3647 + 9.15480i −1.29315 + 0.485887i
\(356\) −19.7868 + 1.95590i −1.04870 + 0.103662i
\(357\) −0.0859107 + 0.177324i −0.00454688 + 0.00938501i
\(358\) −1.47098 + 13.5906i −0.0777435 + 0.718285i
\(359\) −16.0992 + 11.6967i −0.849681 + 0.617329i −0.925058 0.379826i \(-0.875984\pi\)
0.0753771 + 0.997155i \(0.475984\pi\)
\(360\) −18.9187 + 1.44319i −0.997103 + 0.0760631i
\(361\) 14.5552 + 10.5750i 0.766064 + 0.556578i
\(362\) 5.97917 6.59935i 0.314258 0.346854i
\(363\) 3.35763 + 18.7537i 0.176230 + 0.984313i
\(364\) −0.990639 + 4.52272i −0.0519236 + 0.237055i
\(365\) 10.0725 + 6.64333i 0.527220 + 0.347728i
\(366\) 6.25841 + 15.5110i 0.327132 + 0.810771i
\(367\) 1.36020 4.18628i 0.0710021 0.218522i −0.909258 0.416232i \(-0.863350\pi\)
0.980261 + 0.197710i \(0.0633504\pi\)
\(368\) −21.7328 20.0611i −1.13290 1.04576i
\(369\) −4.57647 12.3710i −0.238242 0.644009i
\(370\) −10.5610 + 2.71471i −0.549040 + 0.141131i
\(371\) −0.0656155 0.201944i −0.00340659 0.0104844i
\(372\) −1.76830 6.25075i −0.0916820 0.324086i
\(373\) −14.4746 + 19.9225i −0.749465 + 1.03155i 0.248553 + 0.968618i \(0.420045\pi\)
−0.998018 + 0.0629317i \(0.979955\pi\)
\(374\) 0.00343687 0.000719417i 0.000177716 3.72002e-5i
\(375\) 0.0236002 19.3649i 0.00121871 0.999999i
\(376\) −8.69650 12.2065i −0.448488 0.629502i
\(377\) 14.6986 + 10.6792i 0.757017 + 0.550005i
\(378\) −4.46589 4.91236i −0.229701 0.252664i
\(379\) 10.0824 3.27597i 0.517898 0.168275i −0.0383930 0.999263i \(-0.512224\pi\)
0.556291 + 0.830987i \(0.312224\pi\)
\(380\) −24.3971 + 12.0252i −1.25155 + 0.616881i
\(381\) −16.3558 15.7117i −0.837932 0.804936i
\(382\) 25.8841 5.41815i 1.32435 0.277217i
\(383\) −11.6263 3.77762i −0.594077 0.193027i −0.00347997 0.999994i \(-0.501108\pi\)
−0.590597 + 0.806967i \(0.701108\pi\)
\(384\) −19.5707 + 0.994516i −0.998711 + 0.0507512i
\(385\) −0.0219319 + 0.0332528i −0.00111775 + 0.00169472i
\(386\) −11.3199 + 25.2146i −0.576169 + 1.28339i
\(387\) −20.6659 5.80847i −1.05051 0.295261i
\(388\) 22.3421 + 13.0843i 1.13425 + 0.664256i
\(389\) −5.49021 + 7.55662i −0.278365 + 0.383136i −0.925191 0.379501i \(-0.876096\pi\)
0.646827 + 0.762637i \(0.276096\pi\)
\(390\) −13.9427 + 1.60495i −0.706016 + 0.0812696i
\(391\) −0.547261 0.753241i −0.0276762 0.0380930i
\(392\) 5.25012 + 16.6838i 0.265171 + 0.842661i
\(393\) −14.0688 + 29.0388i −0.709677 + 1.46481i
\(394\) 0.684502 6.32422i 0.0344847 0.318610i
\(395\) −0.485345 1.29171i −0.0244204 0.0649928i
\(396\) −0.0206531 + 0.116493i −0.00103786 + 0.00585399i
\(397\) −22.3012 + 7.24611i −1.11927 + 0.363672i −0.809488 0.587136i \(-0.800255\pi\)
−0.309779 + 0.950808i \(0.600255\pi\)
\(398\) −11.0288 + 24.5662i −0.552825 + 1.23139i
\(399\) −8.56498 4.14959i −0.428786 0.207739i
\(400\) 0.531583 19.9929i 0.0265792 0.999647i
\(401\) 16.8545i 0.841674i −0.907136 0.420837i \(-0.861736\pi\)
0.907136 0.420837i \(-0.138264\pi\)
\(402\) 25.1196 21.0579i 1.25285 1.05027i
\(403\) −1.48486 4.56994i −0.0739662 0.227645i
\(404\) 5.95263 5.29341i 0.296155 0.263357i
\(405\) 9.69647 17.6346i 0.481821 0.876269i
\(406\) −9.00662 0.974831i −0.446991 0.0483801i
\(407\) 0.0679935i 0.00337031i
\(408\) −0.610286 0.0899177i −0.0302137 0.00445159i
\(409\) −0.595598 + 0.432727i −0.0294504 + 0.0213970i −0.602413 0.798184i \(-0.705794\pi\)
0.572963 + 0.819581i \(0.305794\pi\)
\(410\) 13.4661 3.46148i 0.665044 0.170950i
\(411\) 29.9041 16.0013i 1.47506 0.789284i
\(412\) −3.20009 + 5.46431i −0.157657 + 0.269207i
\(413\) −10.9243 + 7.93693i −0.537547 + 0.390551i
\(414\) 30.4221 7.65497i 1.49517 0.376221i
\(415\) −6.88943 + 25.0003i −0.338189 + 1.22722i
\(416\) −14.4374 + 1.29185i −0.707850 + 0.0633383i
\(417\) 10.4444 10.8725i 0.511464 0.532430i
\(418\) 0.0347487 + 0.166005i 0.00169961 + 0.00811956i
\(419\) −3.53463 + 10.8785i −0.172678 + 0.531449i −0.999520 0.0309860i \(-0.990135\pi\)
0.826842 + 0.562435i \(0.190135\pi\)
\(420\) 5.63348 4.15170i 0.274886 0.202582i
\(421\) 8.05515 + 24.7912i 0.392584 + 1.20825i 0.930827 + 0.365460i \(0.119088\pi\)
−0.538243 + 0.842789i \(0.680912\pi\)
\(422\) −13.2876 + 7.61684i −0.646829 + 0.370782i
\(423\) 15.8839 0.638295i 0.772302 0.0310349i
\(424\) 0.541411 0.385728i 0.0262932 0.0187326i
\(425\) 0.139632 0.613916i 0.00677314 0.0297793i
\(426\) 6.91063 27.6620i 0.334821 1.34023i
\(427\) −4.99085 3.62606i −0.241524 0.175477i
\(428\) −12.9028 + 11.4739i −0.623681 + 0.554612i
\(429\) −0.0119517 + 0.0866932i −0.000577032 + 0.00418559i
\(430\) 8.32406 21.0412i 0.401422 1.01470i
\(431\) −4.88985 + 15.0494i −0.235536 + 0.724905i 0.761514 + 0.648149i \(0.224456\pi\)
−0.997050 + 0.0767566i \(0.975544\pi\)
\(432\) 10.4731 17.9531i 0.503889 0.863768i
\(433\) −16.6030 5.39465i −0.797891 0.259251i −0.118430 0.992962i \(-0.537786\pi\)
−0.679461 + 0.733712i \(0.737786\pi\)
\(434\) 1.77556 + 1.60870i 0.0852295 + 0.0772201i
\(435\) −6.05772 26.7848i −0.290446 1.28423i
\(436\) −21.7626 4.76678i −1.04224 0.228287i
\(437\) 36.3824 26.4334i 1.74041 1.26448i
\(438\) −12.2576 + 4.94571i −0.585688 + 0.236315i
\(439\) 13.5607 18.6647i 0.647217 0.890817i −0.351758 0.936091i \(-0.614416\pi\)
0.998975 + 0.0452738i \(0.0144160\pi\)
\(440\) −0.119915 0.0342466i −0.00571671 0.00163264i
\(441\) −17.8593 5.01964i −0.850445 0.239030i
\(442\) −0.453651 0.0491009i −0.0215780 0.00233549i
\(443\) 1.64428i 0.0781221i 0.999237 + 0.0390611i \(0.0124367\pi\)
−0.999237 + 0.0390611i \(0.987563\pi\)
\(444\) 4.12542 11.2101i 0.195784 0.532007i
\(445\) 18.5573 + 12.2395i 0.879701 + 0.580206i
\(446\) −12.4137 21.6558i −0.587808 1.02543i
\(447\) −4.75441 + 34.4869i −0.224876 + 1.63117i
\(448\) 5.92511 4.13892i 0.279935 0.195546i
\(449\) 2.49959i 0.117963i 0.998259 + 0.0589815i \(0.0187853\pi\)
−0.998259 + 0.0589815i \(0.981215\pi\)
\(450\) 17.4425 + 12.0731i 0.822246 + 0.569133i
\(451\) 0.0866971i 0.00408241i
\(452\) 4.72405 + 1.03474i 0.222201 + 0.0486699i
\(453\) 1.60715 11.6577i 0.0755107 0.547729i
\(454\) −3.32332 + 1.90503i −0.155971 + 0.0894074i
\(455\) 4.04587 3.22899i 0.189674 0.151377i
\(456\) 4.34313 29.4776i 0.203386 1.38041i
\(457\) 18.0114i 0.842540i −0.906935 0.421270i \(-0.861585\pi\)
0.906935 0.421270i \(-0.138415\pi\)
\(458\) 1.45332 13.4274i 0.0679090 0.627422i
\(459\) 0.433961 0.489673i 0.0202556 0.0228560i
\(460\) 4.73834 + 32.7261i 0.220926 + 1.52586i
\(461\) −5.38319 + 7.40933i −0.250720 + 0.345087i −0.915763 0.401718i \(-0.868413\pi\)
0.665043 + 0.746805i \(0.268413\pi\)
\(462\) −0.0163275 0.0404663i −0.000759622 0.00188266i
\(463\) 24.9238 18.1082i 1.15831 0.841560i 0.168745 0.985660i \(-0.446029\pi\)
0.989563 + 0.144099i \(0.0460285\pi\)
\(464\) −5.55281 27.8130i −0.257783 1.29118i
\(465\) −2.86768 + 6.67270i −0.132985 + 0.309439i
\(466\) −24.0419 + 26.5355i −1.11372 + 1.22924i
\(467\) −29.8438 9.69684i −1.38101 0.448716i −0.478006 0.878356i \(-0.658640\pi\)
−0.903000 + 0.429640i \(0.858640\pi\)
\(468\) 7.23048 13.5680i 0.334229 0.627179i
\(469\) −3.73592 + 11.4980i −0.172509 + 0.530927i
\(470\) −1.04754 + 16.7239i −0.0483192 + 0.771414i
\(471\) −3.94337 + 28.6039i −0.181701 + 1.31800i
\(472\) −33.9685 25.1648i −1.56353 1.15830i
\(473\) −0.114148 0.0829337i −0.00524855 0.00381329i
\(474\) 1.46651 + 0.366370i 0.0673590 + 0.0168279i
\(475\) 29.6529 + 6.74438i 1.36057 + 0.309454i
\(476\) 0.208420 0.0912529i 0.00955294 0.00418257i
\(477\) 0.0283111 + 0.704521i 0.00129628 + 0.0322578i
\(478\) 2.19966 + 3.83731i 0.100610 + 0.175514i
\(479\) −6.50371 20.0164i −0.297162 0.914571i −0.982487 0.186333i \(-0.940340\pi\)
0.685324 0.728238i \(-0.259660\pi\)
\(480\) 17.6925 + 12.9219i 0.807547 + 0.589803i
\(481\) 2.73040 8.40329i 0.124495 0.383157i
\(482\) −27.7313 + 5.80481i −1.26313 + 0.264402i
\(483\) −8.01554 + 8.34411i −0.364720 + 0.379670i
\(484\) 11.1174 18.9834i 0.505334 0.862883i
\(485\) −10.1817 27.0979i −0.462329 1.23045i
\(486\) 9.86264 + 19.7162i 0.447379 + 0.894345i
\(487\) −0.303633 + 0.220602i −0.0137589 + 0.00999644i −0.594643 0.803990i \(-0.702707\pi\)
0.580885 + 0.813986i \(0.302707\pi\)
\(488\) 6.13851 18.3120i 0.277877 0.828945i
\(489\) 2.15139 1.15118i 0.0972890 0.0520580i
\(490\) 7.19360 18.1836i 0.324974 0.821453i
\(491\) −24.7225 + 17.9619i −1.11571 + 0.810611i −0.983553 0.180618i \(-0.942190\pi\)
−0.132157 + 0.991229i \(0.542190\pi\)
\(492\) −5.26024 + 14.2938i −0.237150 + 0.644412i
\(493\) 0.892824i 0.0402108i
\(494\) 2.37163 21.9119i 0.106705 0.985862i
\(495\) 0.0999883 0.0865954i 0.00449414 0.00389218i
\(496\) −3.13554 + 6.81421i −0.140790 + 0.305967i
\(497\) 3.24966 + 10.0014i 0.145767 + 0.448625i
\(498\) −18.2497 21.7698i −0.817790 0.975529i
\(499\) 17.3077i 0.774800i 0.921912 + 0.387400i \(0.126627\pi\)
−0.921912 + 0.387400i \(0.873373\pi\)
\(500\) −14.5444 + 16.9841i −0.650445 + 0.759554i
\(501\) −0.370986 0.179736i −0.0165744 0.00803003i
\(502\) −13.8908 6.23619i −0.619978 0.278335i
\(503\) 16.2862 5.29171i 0.726167 0.235946i 0.0774719 0.996995i \(-0.475315\pi\)
0.648695 + 0.761049i \(0.275315\pi\)
\(504\) 0.236664 + 7.66233i 0.0105418 + 0.341307i
\(505\) −8.89692 + 0.402948i −0.395908 + 0.0179309i
\(506\) 0.204993 + 0.0221874i 0.00911305 + 0.000986350i
\(507\) −4.85901 + 10.0293i −0.215796 + 0.445415i
\(508\) 2.57613 + 26.0613i 0.114297 + 1.15628i
\(509\) −9.86230 13.5743i −0.437139 0.601670i 0.532435 0.846471i \(-0.321277\pi\)
−0.969573 + 0.244801i \(0.921277\pi\)
\(510\) 0.466535 + 0.507950i 0.0206585 + 0.0224924i
\(511\) 2.86550 3.94402i 0.126762 0.174473i
\(512\) 17.9284 + 13.8048i 0.792330 + 0.610093i
\(513\) 23.6518 + 20.9608i 1.04425 + 0.925443i
\(514\) 13.4107 + 6.02063i 0.591520 + 0.265559i
\(515\) 6.62744 2.49019i 0.292040 0.109731i
\(516\) 13.7877 + 20.5991i 0.606972 + 0.906825i
\(517\) 0.0993714 + 0.0322877i 0.00437035 + 0.00142001i
\(518\) 0.902653 + 4.31224i 0.0396603 + 0.189469i
\(519\) 2.74878 + 2.64054i 0.120658 + 0.115907i
\(520\) 13.4450 + 9.04791i 0.589602 + 0.396777i
\(521\) −3.18214 + 1.03394i −0.139412 + 0.0452978i −0.377892 0.925850i \(-0.623351\pi\)
0.238480 + 0.971147i \(0.423351\pi\)
\(522\) 27.9161 + 11.2087i 1.22185 + 0.490592i
\(523\) −18.8424 13.6898i −0.823922 0.598614i 0.0939114 0.995581i \(-0.470063\pi\)
−0.917833 + 0.396966i \(0.870063\pi\)
\(524\) 34.1311 14.9436i 1.49102 0.652815i
\(525\) −7.81561 0.363519i −0.341101 0.0158653i
\(526\) −2.88293 13.7726i −0.125702 0.600514i
\(527\) −0.138794 + 0.191033i −0.00604595 + 0.00832153i
\(528\) 0.105502 0.0867877i 0.00459140 0.00377695i
\(529\) −9.78734 30.1223i −0.425537 1.30967i
\(530\) −0.741776 0.0464628i −0.0322207 0.00201821i
\(531\) 42.0535 15.5571i 1.82497 0.675118i
\(532\) 4.40762 + 10.0670i 0.191095 + 0.436458i
\(533\) −3.48147 + 10.7149i −0.150799 + 0.464112i
\(534\) −22.5829 + 9.11182i −0.977258 + 0.394307i
\(535\) 19.2848 0.873421i 0.833754 0.0377613i
\(536\) −37.8477 0.351484i −1.63477 0.0151818i
\(537\) 2.95058 + 16.4802i 0.127327 + 0.711171i
\(538\) −18.8667 17.0937i −0.813403 0.736963i
\(539\) −0.0986463 0.0716707i −0.00424900 0.00308708i
\(540\) −21.7392 + 8.21032i −0.935504 + 0.353316i
\(541\) −18.7572 + 13.6279i −0.806435 + 0.585909i −0.912795 0.408418i \(-0.866080\pi\)
0.106360 + 0.994328i \(0.466080\pi\)
\(542\) 45.8703 + 4.96477i 1.97030 + 0.213255i
\(543\) 4.75534 9.81528i 0.204071 0.421214i
\(544\) 0.468376 + 0.536660i 0.0200815 + 0.0230091i
\(545\) 15.5373 + 19.4680i 0.665547 + 0.833919i
\(546\) 0.392912 + 5.65687i 0.0168151 + 0.242092i
\(547\) 9.29791 + 28.6160i 0.397550 + 1.22353i 0.926958 + 0.375166i \(0.122414\pi\)
−0.529408 + 0.848367i \(0.677586\pi\)
\(548\) −38.2559 8.37942i −1.63421 0.357951i
\(549\) 12.6965 + 16.0759i 0.541874 + 0.686103i
\(550\) 0.0799912 + 0.114201i 0.00341084 + 0.00486955i
\(551\) 43.1245 1.83716
\(552\) −32.4510 16.0957i −1.38121 0.685080i
\(553\) −0.530229 + 0.172282i −0.0225476 + 0.00732617i
\(554\) −18.1990 + 10.4322i −0.773203 + 0.443223i
\(555\) −11.4781 + 6.82708i −0.487219 + 0.289794i
\(556\) −17.3243 + 1.71248i −0.734713 + 0.0726255i
\(557\) 0.414052 0.0175439 0.00877197 0.999962i \(-0.497208\pi\)
0.00877197 + 0.999962i \(0.497208\pi\)
\(558\) −4.23062 6.73796i −0.179096 0.285240i
\(559\) 10.7772 + 14.8336i 0.455828 + 0.627393i
\(560\) −8.05981 0.580031i −0.340589 0.0245108i
\(561\) 0.00379181 0.00202894i 0.000160090 8.56621e-5i
\(562\) −3.48462 3.15715i −0.146990 0.133176i
\(563\) 9.46697 + 13.0302i 0.398985 + 0.549156i 0.960489 0.278318i \(-0.0897769\pi\)
−0.561504 + 0.827474i \(0.689777\pi\)
\(564\) −14.4243 11.3525i −0.607374 0.478027i
\(565\) −3.37273 4.22597i −0.141892 0.177788i
\(566\) 1.55831 1.71994i 0.0655006 0.0722945i
\(567\) −6.94040 4.23604i −0.291469 0.177897i
\(568\) −26.8138 + 19.1035i −1.12508 + 0.801563i
\(569\) 1.80110 + 0.585212i 0.0755060 + 0.0245334i 0.346526 0.938040i \(-0.387361\pi\)
−0.271020 + 0.962574i \(0.587361\pi\)
\(570\) −24.5346 + 22.5342i −1.02764 + 0.943854i
\(571\) 10.6321 3.45456i 0.444938 0.144569i −0.0779750 0.996955i \(-0.524845\pi\)
0.522913 + 0.852386i \(0.324845\pi\)
\(572\) 0.0755131 0.0671504i 0.00315736 0.00280770i
\(573\) 28.5573 15.2806i 1.19300 0.638357i
\(574\) −1.15095 5.49845i −0.0480399 0.229501i
\(575\) 18.9380 31.7516i 0.789769 1.32413i
\(576\) −22.6599 + 7.90745i −0.944164 + 0.329477i
\(577\) 1.14715 1.57892i 0.0477566 0.0657313i −0.784471 0.620166i \(-0.787065\pi\)
0.832227 + 0.554434i \(0.187065\pi\)
\(578\) −11.9452 20.8383i −0.496853 0.866760i
\(579\) −4.62300 + 33.5337i −0.192125 + 1.39361i
\(580\) −14.7701 + 28.0596i −0.613293 + 1.16511i
\(581\) 9.96467 + 3.23772i 0.413404 + 0.134323i
\(582\) 30.7650 + 7.68583i 1.27525 + 0.318588i
\(583\) −0.00143210 + 0.00440755i −5.93116e−5 + 0.000182542i
\(584\) 14.4711 + 4.85096i 0.598817 + 0.200734i
\(585\) −15.8349 + 6.68710i −0.654693 + 0.276478i
\(586\) −21.3937 9.60457i −0.883768 0.396761i
\(587\) −9.14257 12.5837i −0.377354 0.519384i 0.577527 0.816372i \(-0.304018\pi\)
−0.954881 + 0.296988i \(0.904018\pi\)
\(588\) 11.9153 + 17.8016i 0.491378 + 0.734126i
\(589\) −9.22713 6.70390i −0.380197 0.276229i
\(590\) 11.7668 + 45.7761i 0.484431 + 1.88457i
\(591\) −1.37302 7.66885i −0.0564784 0.315454i
\(592\) −12.0296 + 6.74807i −0.494412 + 0.277344i
\(593\) 23.6667 0.971874 0.485937 0.873994i \(-0.338478\pi\)
0.485937 + 0.873994i \(0.338478\pi\)
\(594\) 0.0158361 + 0.144031i 0.000649763 + 0.00590966i
\(595\) −0.245236 0.0675805i −0.0100537 0.00277053i
\(596\) 30.0394 26.7127i 1.23046 1.09419i
\(597\) −4.50411 + 32.6713i −0.184341 + 1.33715i
\(598\) −24.4440 10.9740i −0.999591 0.448759i
\(599\) −6.90906 −0.282297 −0.141148 0.989988i \(-0.545079\pi\)
−0.141148 + 0.989988i \(0.545079\pi\)
\(600\) −6.25914 23.6817i −0.255528 0.966802i
\(601\) 12.8685 0.524917 0.262459 0.964943i \(-0.415467\pi\)
0.262459 + 0.964943i \(0.415467\pi\)
\(602\) −8.34045 3.74439i −0.339931 0.152610i
\(603\) 22.2737 33.3995i 0.907055 1.36013i
\(604\) −10.1543 + 9.02980i −0.413174 + 0.367417i
\(605\) −23.0242 + 8.65112i −0.936068 + 0.351718i
\(606\) 5.17380 8.27121i 0.210171 0.335995i
\(607\) −23.5971 −0.957779 −0.478889 0.877875i \(-0.658961\pi\)
−0.478889 + 0.877875i \(0.658961\pi\)
\(608\) −25.9213 + 22.6231i −1.05125 + 0.917489i
\(609\) −10.9216 + 1.95538i −0.442565 + 0.0792360i
\(610\) −18.2285 + 11.5752i −0.738049 + 0.468666i
\(611\) −10.9847 7.98086i −0.444394 0.322871i
\(612\) −0.748260 + 0.104448i −0.0302466 + 0.00422207i
\(613\) −17.5398 24.1415i −0.708427 0.975066i −0.999829 0.0184656i \(-0.994122\pi\)
0.291403 0.956601i \(-0.405878\pi\)
\(614\) 27.6115 + 12.3960i 1.11431 + 0.500262i
\(615\) 14.6355 8.70507i 0.590161 0.351022i
\(616\) −0.0160146 + 0.0477738i −0.000645249 + 0.00192486i
\(617\) 6.53889 20.1246i 0.263246 0.810187i −0.728847 0.684677i \(-0.759943\pi\)
0.992092 0.125510i \(-0.0400568\pi\)
\(618\) −1.87976 + 7.52432i −0.0756149 + 0.302672i
\(619\) 19.8653 + 6.45463i 0.798455 + 0.259434i 0.679700 0.733490i \(-0.262110\pi\)
0.118754 + 0.992924i \(0.462110\pi\)
\(620\) 7.52226 3.70769i 0.302101 0.148904i
\(621\) 33.1209 19.4722i 1.32909 0.781391i
\(622\) −14.2398 24.8413i −0.570964 0.996047i
\(623\) 5.27930 7.26634i 0.211511 0.291120i
\(624\) −16.5241 + 6.48943i −0.661494 + 0.259785i
\(625\) 24.5914 4.50129i 0.983657 0.180052i
\(626\) 7.49678 + 35.8143i 0.299632 + 1.43143i
\(627\) 0.0980004 + 0.183149i 0.00391376 + 0.00731427i
\(628\) 24.9151 22.1559i 0.994219 0.884115i
\(629\) −0.412949 + 0.134175i −0.0164654 + 0.00534992i
\(630\) 5.19180 6.81941i 0.206846 0.271692i
\(631\) 34.1089 + 11.0827i 1.35786 + 0.441194i 0.895327 0.445410i \(-0.146942\pi\)
0.462529 + 0.886604i \(0.346942\pi\)
\(632\) −1.01278 1.42154i −0.0402861 0.0565460i
\(633\) −12.9949 + 13.5276i −0.516502 + 0.537674i
\(634\) 10.3807 11.4574i 0.412271 0.455033i
\(635\) 16.1206 24.4419i 0.639728 0.969948i
\(636\) 0.503534 0.639782i 0.0199664 0.0253690i
\(637\) 9.31360 + 12.8191i 0.369018 + 0.507910i
\(638\) 0.146527 + 0.132757i 0.00580105 + 0.00525590i
\(639\) −1.40213 34.8919i −0.0554675 1.38030i
\(640\) −5.84205 24.6144i −0.230927 0.972971i
\(641\) 6.26340 + 8.62083i 0.247390 + 0.340502i 0.914595 0.404371i \(-0.132510\pi\)
−0.667205 + 0.744874i \(0.732510\pi\)
\(642\) −11.2146 + 17.9285i −0.442606 + 0.707582i
\(643\) −13.7687 −0.542983 −0.271491 0.962441i \(-0.587517\pi\)
−0.271491 + 0.962441i \(0.587517\pi\)
\(644\) 13.2955 1.31424i 0.523916 0.0517885i
\(645\) 2.53881 27.5968i 0.0999656 1.08662i
\(646\) −0.939637 + 0.538628i −0.0369695 + 0.0211920i
\(647\) 14.0477 4.56436i 0.552270 0.179444i −0.0195699 0.999808i \(-0.506230\pi\)
0.571840 + 0.820365i \(0.306230\pi\)
\(648\) 6.12801 24.7072i 0.240731 0.970592i
\(649\) 0.294714 0.0115685
\(650\) −5.30015 17.3263i −0.207889 0.679592i
\(651\) 2.64081 + 1.27943i 0.103501 + 0.0501447i
\(652\) −2.75224 0.602839i −0.107786 0.0236090i
\(653\) 10.7453 + 33.0705i 0.420494 + 1.29415i 0.907243 + 0.420607i \(0.138183\pi\)
−0.486749 + 0.873542i \(0.661817\pi\)
\(654\) −27.2199 + 1.89062i −1.06438 + 0.0739292i
\(655\) −40.1600 11.0670i −1.56918 0.432425i
\(656\) 15.3387 8.60433i 0.598874 0.335943i
\(657\) −12.7040 + 10.0334i −0.495630 + 0.391442i
\(658\) 6.73091 + 0.728520i 0.262398 + 0.0284007i
\(659\) −26.5251 + 19.2716i −1.03327 + 0.750717i −0.968961 0.247213i \(-0.920485\pi\)
−0.0643116 + 0.997930i \(0.520485\pi\)
\(660\) −0.152733 + 0.00103716i −0.00594514 + 4.03713e-5i
\(661\) 20.7897 + 15.1046i 0.808626 + 0.587501i 0.913432 0.406992i \(-0.133422\pi\)
−0.104806 + 0.994493i \(0.533422\pi\)
\(662\) 5.45753 + 4.94466i 0.212113 + 0.192180i
\(663\) −0.550105 + 0.0984898i −0.0213643 + 0.00382503i
\(664\) −0.304612 + 32.8006i −0.0118212 + 1.27291i
\(665\) 3.26422 11.8452i 0.126581 0.459336i
\(666\) 0.988971 14.5962i 0.0383219 0.565592i
\(667\) 16.2010 49.8615i 0.627305 1.93064i
\(668\) 0.190913 + 0.436043i 0.00738664 + 0.0168710i
\(669\) −22.0470 21.1788i −0.852385 0.818820i
\(670\) 32.6131 + 26.9648i 1.25996 + 1.04174i
\(671\) 0.0416070 + 0.128053i 0.00160622 + 0.00494343i
\(672\) 5.53896 6.90480i 0.213670 0.266359i
\(673\) 6.56396 9.03451i 0.253022 0.348255i −0.663545 0.748137i \(-0.730949\pi\)
0.916567 + 0.399882i \(0.130949\pi\)
\(674\) −0.827394 3.95271i −0.0318700 0.152253i
\(675\) 24.6580 + 8.18438i 0.949086 + 0.315017i
\(676\) 11.7880 5.16116i 0.453385 0.198506i
\(677\) −23.8114 17.3000i −0.915145 0.664891i 0.0271662 0.999631i \(-0.491352\pi\)
−0.942311 + 0.334739i \(0.891352\pi\)
\(678\) 5.90868 0.410402i 0.226922 0.0157614i
\(679\) −11.1233 + 3.61419i −0.426874 + 0.138700i
\(680\) −0.0286423 0.795867i −0.00109838 0.0305201i
\(681\) −3.25013 + 3.38336i −0.124545 + 0.129650i
\(682\) −0.0107139 0.0511836i −0.000410257 0.00195992i
\(683\) 39.4244 + 12.8098i 1.50853 + 0.490152i 0.942493 0.334225i \(-0.108474\pi\)
0.566041 + 0.824377i \(0.308474\pi\)
\(684\) −5.04498 36.1418i −0.192900 1.38192i
\(685\) 27.3128 + 34.2224i 1.04357 + 1.30757i
\(686\) −15.3669 6.89885i −0.586710 0.263399i
\(687\) −2.91516 16.2823i −0.111220 0.621208i
\(688\) 3.34406 28.4262i 0.127491 1.08374i
\(689\) 0.353986 0.487220i 0.0134858 0.0185616i
\(690\) 16.8374 + 36.8331i 0.640989 + 1.40221i
\(691\) −4.37169 6.01711i −0.166307 0.228902i 0.717727 0.696325i \(-0.245183\pi\)
−0.884034 + 0.467423i \(0.845183\pi\)
\(692\) −0.432948 4.37990i −0.0164582 0.166499i
\(693\) −0.0331237 0.0419401i −0.00125827 0.00159317i
\(694\) −12.1192 1.31172i −0.460037 0.0497921i
\(695\) 16.2478 + 10.7162i 0.616315 + 0.406490i
\(696\) −16.1030 30.7780i −0.610383 1.16664i
\(697\) 0.526543 0.171084i 0.0199442 0.00648028i
\(698\) 43.5741 + 19.5623i 1.64930 + 0.740443i
\(699\) −19.1209 + 39.4666i −0.723219 + 1.49276i
\(700\) 6.58924 + 6.18086i 0.249050 + 0.233615i
\(701\) 4.41207i 0.166641i −0.996523 0.0833207i \(-0.973447\pi\)
0.996523 0.0833207i \(-0.0265526\pi\)
\(702\) 3.82663 18.4367i 0.144427 0.695847i
\(703\) −6.48083 19.9459i −0.244429 0.752275i
\(704\) −0.157719 0.00292966i −0.00594425 0.000110416i
\(705\) 4.52711 + 20.0170i 0.170501 + 0.753885i
\(706\) 1.90085 17.5623i 0.0715396 0.660965i
\(707\) 3.59833i 0.135329i
\(708\) −48.5895 17.8814i −1.82611 0.672026i
\(709\) 2.55928 1.85943i 0.0961158 0.0698322i −0.538689 0.842504i \(-0.681080\pi\)
0.634805 + 0.772672i \(0.281080\pi\)
\(710\) 36.7370 + 2.30110i 1.37872 + 0.0863589i
\(711\) 1.84981 0.0743345i 0.0693732 0.00278776i
\(712\) 26.6610 + 8.93725i 0.999164 + 0.334938i
\(713\) −11.2176 + 8.15009i −0.420104 + 0.305223i
\(714\) 0.213547 0.179017i 0.00799178 0.00669954i
\(715\) −0.112863 + 0.00511166i −0.00422085 + 0.000191165i
\(716\) 9.76959 16.6820i 0.365107 0.623437i
\(717\) 3.90662 + 3.75279i 0.145896 + 0.140150i
\(718\) 27.5454 5.76589i 1.02798 0.215181i
\(719\) −8.16195 + 25.1199i −0.304389 + 0.936814i 0.675515 + 0.737346i \(0.263921\pi\)
−0.979904 + 0.199468i \(0.936079\pi\)
\(720\) 25.2441 + 9.09593i 0.940792 + 0.338985i
\(721\) −0.883938 2.72048i −0.0329196 0.101316i
\(722\) −12.6535 22.0739i −0.470913 0.821507i
\(723\) −30.5953 + 16.3711i −1.13785 + 0.608847i
\(724\) −11.5365 + 5.05103i −0.428751 + 0.187720i
\(725\) 32.5888 13.9584i 1.21032 0.518402i
\(726\) 6.53042 26.1401i 0.242367 0.970148i
\(727\) 30.2425 + 21.9725i 1.12163 + 0.814914i 0.984456 0.175632i \(-0.0561970\pi\)
0.137177 + 0.990547i \(0.456197\pi\)
\(728\) 3.89769 5.26126i 0.144458 0.194995i
\(729\) 18.3807 + 19.7775i 0.680767 + 0.732500i
\(730\) −9.14732 14.4051i −0.338557 0.533155i
\(731\) 0.278431 0.856923i 0.0102981 0.0316944i
\(732\) 0.909729 23.6366i 0.0336245 0.873633i
\(733\) 15.3496 + 4.98739i 0.566950 + 0.184213i 0.578446 0.815721i \(-0.303659\pi\)
−0.0114958 + 0.999934i \(0.503659\pi\)
\(734\) −4.17961 + 4.61313i −0.154272 + 0.170274i
\(735\) 2.19402 23.8490i 0.0809277 0.879684i
\(736\) 16.4193 + 38.4698i 0.605222 + 1.41802i
\(737\) 0.213471 0.155096i 0.00786331 0.00571303i
\(738\) −1.26102 + 18.6113i −0.0464187 + 0.685093i
\(739\) −29.9328 + 41.1990i −1.10110 + 1.51553i −0.267174 + 0.963648i \(0.586090\pi\)
−0.833923 + 0.551881i \(0.813910\pi\)
\(740\) 15.1978 + 2.61460i 0.558681 + 0.0961147i
\(741\) −4.75718 26.5707i −0.174759 0.976099i
\(742\) −0.0323130 + 0.298545i −0.00118625 + 0.0109599i
\(743\) 23.5056i 0.862336i −0.902272 0.431168i \(-0.858102\pi\)
0.902272 0.431168i \(-0.141898\pi\)
\(744\) −1.33910 + 9.08870i −0.0490938 + 0.333208i
\(745\) −44.8974 + 2.03343i −1.64491 + 0.0744993i
\(746\) 30.2139 17.3195i 1.10621 0.634112i
\(747\) −28.9455 19.3034i −1.05906 0.706275i
\(748\) −0.00485081 0.00106250i −0.000177363 3.88489e-5i
\(749\) 7.79967i 0.284994i
\(750\) −11.2468 + 24.9702i −0.410674 + 0.911782i
\(751\) 30.7299i 1.12135i 0.828036 + 0.560675i \(0.189458\pi\)
−0.828036 + 0.560675i \(0.810542\pi\)
\(752\) 4.14978 + 20.7854i 0.151327 + 0.757967i
\(753\) −18.4738 2.54683i −0.673223 0.0928115i
\(754\) −12.7781 22.2914i −0.465352 0.811806i
\(755\) 15.1769 0.687371i 0.552343 0.0250160i
\(756\) 2.91644 + 8.92442i 0.106070 + 0.324578i
\(757\) 9.04077i 0.328592i −0.986411 0.164296i \(-0.947465\pi\)
0.986411 0.164296i \(-0.0525353\pi\)
\(758\) −14.9054 1.61329i −0.541389 0.0585972i
\(759\) 0.248578 0.0445049i 0.00902280 0.00161543i
\(760\) 38.4413 1.38346i 1.39441 0.0501832i
\(761\) −6.35636 + 8.74878i −0.230418 + 0.317143i −0.908533 0.417812i \(-0.862797\pi\)
0.678115 + 0.734955i \(0.262797\pi\)
\(762\) 12.0012 + 29.7441i 0.434759 + 1.07751i
\(763\) 8.14169 5.91529i 0.294749 0.214148i
\(764\) −36.5330 8.00203i −1.32172 0.289503i
\(765\) 0.723238 + 0.436382i 0.0261487 + 0.0157774i
\(766\) 12.8118 + 11.6078i 0.462909 + 0.419407i
\(767\) −36.4236 11.8348i −1.31518 0.427328i
\(768\) 25.8254 + 10.0524i 0.931892 + 0.362735i
\(769\) −13.3618 + 41.1234i −0.481839 + 1.48295i 0.354668 + 0.934992i \(0.384594\pi\)
−0.836507 + 0.547956i \(0.815406\pi\)
\(770\) 0.0475560 0.0301984i 0.00171380 0.00108827i
\(771\) 17.8352 + 2.45879i 0.642320 + 0.0885513i
\(772\) 29.2091 25.9743i 1.05126 0.934837i
\(773\) −38.2541 27.7932i −1.37590 0.999653i −0.997250 0.0741149i \(-0.976387\pi\)
−0.378655 0.925538i