Properties

Label 300.2.n.a.11.16
Level $300$
Weight $2$
Character 300.11
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 11.16
Character \(\chi\) \(=\) 300.11
Dual form 300.2.n.a.191.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.923787 - 1.07080i) q^{2} +(1.20611 + 1.24310i) q^{3} +(-0.293236 + 1.97839i) q^{4} +(2.16410 - 0.562738i) q^{5} +(0.216925 - 2.43987i) q^{6} +3.72853i q^{7} +(2.38935 - 1.51361i) q^{8} +(-0.0905939 + 2.99863i) q^{9} +O(q^{10})\) \(q+(-0.923787 - 1.07080i) q^{2} +(1.20611 + 1.24310i) q^{3} +(-0.293236 + 1.97839i) q^{4} +(2.16410 - 0.562738i) q^{5} +(0.216925 - 2.43987i) q^{6} +3.72853i q^{7} +(2.38935 - 1.51361i) q^{8} +(-0.0905939 + 2.99863i) q^{9} +(-2.60175 - 1.79747i) q^{10} +(-2.85309 + 2.07289i) q^{11} +(-2.81301 + 2.02163i) q^{12} +(-2.64426 - 1.92116i) q^{13} +(3.99251 - 3.44436i) q^{14} +(3.30968 + 2.01147i) q^{15} +(-3.82803 - 1.16027i) q^{16} +(-1.89045 + 0.614246i) q^{17} +(3.29463 - 2.67309i) q^{18} +(3.02333 - 0.982340i) q^{19} +(0.478722 + 4.44644i) q^{20} +(-4.63493 + 4.49701i) q^{21} +(4.85531 + 1.14019i) q^{22} +(1.00203 - 0.728021i) q^{23} +(4.76339 + 1.14462i) q^{24} +(4.36665 - 2.43564i) q^{25} +(0.385541 + 4.60622i) q^{26} +(-3.83686 + 3.50406i) q^{27} +(-7.37646 - 1.09334i) q^{28} +(2.72526 + 0.885489i) q^{29} +(-0.903558 - 5.40218i) q^{30} +(9.25193 - 3.00613i) q^{31} +(2.29386 + 5.17090i) q^{32} +(-6.01796 - 1.04654i) q^{33} +(2.40411 + 1.45687i) q^{34} +(2.09818 + 8.06890i) q^{35} +(-5.90589 - 1.05854i) q^{36} +(-2.96797 - 2.15636i) q^{37} +(-3.84481 - 2.32992i) q^{38} +(-0.801066 - 5.60421i) q^{39} +(4.31902 - 4.62018i) q^{40} +(7.18888 - 9.89465i) q^{41} +(9.09710 + 0.808811i) q^{42} -5.08317i q^{43} +(-3.26436 - 6.25237i) q^{44} +(1.49139 + 6.54032i) q^{45} +(-1.70523 - 0.400445i) q^{46} +(-0.623353 + 1.91848i) q^{47} +(-3.17469 - 6.15803i) q^{48} -6.90190 q^{49} +(-6.64195 - 2.42581i) q^{50} +(-3.04367 - 1.60918i) q^{51} +(4.57620 - 4.66800i) q^{52} +(4.01912 + 1.30589i) q^{53} +(7.29661 + 0.871516i) q^{54} +(-5.00788 + 6.09149i) q^{55} +(5.64353 + 8.90875i) q^{56} +(4.86762 + 2.57349i) q^{57} +(-1.56937 - 3.73621i) q^{58} +(2.52634 + 1.83549i) q^{59} +(-4.94998 + 5.95800i) q^{60} +(7.65840 - 5.56415i) q^{61} +(-11.7658 - 7.12996i) q^{62} +(-11.1805 - 0.337782i) q^{63} +(3.41797 - 7.23308i) q^{64} +(-6.80354 - 2.66957i) q^{65} +(4.43867 + 7.41083i) q^{66} +(-13.7784 + 4.47688i) q^{67} +(-0.660867 - 3.92017i) q^{68} +(2.11357 + 0.367555i) q^{69} +(6.70192 - 9.70068i) q^{70} +(-1.64679 + 5.06831i) q^{71} +(4.32230 + 7.30190i) q^{72} +(-5.62788 + 4.08889i) q^{73} +(0.432740 + 5.17013i) q^{74} +(8.29441 + 2.49053i) q^{75} +(1.05690 + 6.26938i) q^{76} +(-7.72884 - 10.6378i) q^{77} +(-5.26099 + 6.03488i) q^{78} +(-9.60080 - 3.11949i) q^{79} +(-8.93715 - 0.356760i) q^{80} +(-8.98359 - 0.543315i) q^{81} +(-17.2362 + 1.44267i) q^{82} +(-4.65327 - 14.3213i) q^{83} +(-7.53770 - 10.4884i) q^{84} +(-3.74547 + 2.39312i) q^{85} +(-5.44307 + 4.69576i) q^{86} +(2.18621 + 4.45576i) q^{87} +(-3.67948 + 9.27133i) q^{88} +(1.86723 + 2.57002i) q^{89} +(5.62566 - 7.63884i) q^{90} +(7.16311 - 9.85917i) q^{91} +(1.14647 + 2.19589i) q^{92} +(14.8958 + 7.87534i) q^{93} +(2.63016 - 1.10478i) q^{94} +(5.98999 - 3.82723i) q^{95} +(-3.66129 + 9.08818i) q^{96} +(0.754039 - 2.32069i) q^{97} +(6.37589 + 7.39058i) q^{98} +(-5.95737 - 8.74317i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} + q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} + q^{6} - 6q^{9} - 8q^{10} - 9q^{12} - 12q^{13} - 18q^{16} - 26q^{18} + 12q^{21} - 6q^{22} - 16q^{24} - 12q^{25} + 2q^{28} - 13q^{30} + 6q^{33} - 30q^{34} + 35q^{36} + 12q^{37} - 24q^{40} - 13q^{42} - 6q^{45} - 18q^{46} - 34q^{48} - 168q^{49} - 28q^{52} - 38q^{54} - 44q^{57} - 34q^{58} - 76q^{60} + 4q^{61} + 18q^{64} - 46q^{66} - 18q^{69} + 72q^{70} - 29q^{72} - 20q^{73} + 16q^{76} + 5q^{78} - 30q^{81} - 20q^{82} - 18q^{84} - 76q^{85} + 6q^{88} + 2q^{90} - 52q^{93} + 96q^{94} - 50q^{96} - 72q^{97} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.923787 1.07080i −0.653216 0.757172i
\(3\) 1.20611 + 1.24310i 0.696348 + 0.717704i
\(4\) −0.293236 + 1.97839i −0.146618 + 0.989193i
\(5\) 2.16410 0.562738i 0.967815 0.251664i
\(6\) 0.216925 2.43987i 0.0885593 0.996071i
\(7\) 3.72853i 1.40925i 0.709580 + 0.704625i \(0.248885\pi\)
−0.709580 + 0.704625i \(0.751115\pi\)
\(8\) 2.38935 1.51361i 0.844762 0.535142i
\(9\) −0.0905939 + 2.99863i −0.0301980 + 0.999544i
\(10\) −2.60175 1.79747i −0.822745 0.568411i
\(11\) −2.85309 + 2.07289i −0.860240 + 0.625001i −0.927950 0.372704i \(-0.878431\pi\)
0.0677102 + 0.997705i \(0.478431\pi\)
\(12\) −2.81301 + 2.02163i −0.812045 + 0.583595i
\(13\) −2.64426 1.92116i −0.733384 0.532835i 0.157248 0.987559i \(-0.449738\pi\)
−0.890632 + 0.454724i \(0.849738\pi\)
\(14\) 3.99251 3.44436i 1.06704 0.920545i
\(15\) 3.30968 + 2.01147i 0.854556 + 0.519358i
\(16\) −3.82803 1.16027i −0.957006 0.290067i
\(17\) −1.89045 + 0.614246i −0.458503 + 0.148977i −0.529156 0.848524i \(-0.677491\pi\)
0.0706537 + 0.997501i \(0.477491\pi\)
\(18\) 3.29463 2.67309i 0.776552 0.630053i
\(19\) 3.02333 0.982340i 0.693600 0.225364i 0.0590600 0.998254i \(-0.481190\pi\)
0.634540 + 0.772890i \(0.281190\pi\)
\(20\) 0.478722 + 4.44644i 0.107045 + 0.994254i
\(21\) −4.63493 + 4.49701i −1.01142 + 0.981329i
\(22\) 4.85531 + 1.14019i 1.03516 + 0.243089i
\(23\) 1.00203 0.728021i 0.208939 0.151803i −0.478395 0.878145i \(-0.658781\pi\)
0.687333 + 0.726342i \(0.258781\pi\)
\(24\) 4.76339 + 1.14462i 0.972322 + 0.233644i
\(25\) 4.36665 2.43564i 0.873330 0.487129i
\(26\) 0.385541 + 4.60622i 0.0756108 + 0.903354i
\(27\) −3.83686 + 3.50406i −0.738405 + 0.674358i
\(28\) −7.37646 1.09334i −1.39402 0.206621i
\(29\) 2.72526 + 0.885489i 0.506067 + 0.164431i 0.550913 0.834563i \(-0.314280\pi\)
−0.0448457 + 0.998994i \(0.514280\pi\)
\(30\) −0.903558 5.40218i −0.164966 0.986299i
\(31\) 9.25193 3.00613i 1.66170 0.539918i 0.680469 0.732777i \(-0.261776\pi\)
0.981226 + 0.192859i \(0.0617761\pi\)
\(32\) 2.29386 + 5.17090i 0.405501 + 0.914095i
\(33\) −6.01796 1.04654i −1.04759 0.182179i
\(34\) 2.40411 + 1.45687i 0.412302 + 0.249851i
\(35\) 2.09818 + 8.06890i 0.354658 + 1.36389i
\(36\) −5.90589 1.05854i −0.984314 0.176423i
\(37\) −2.96797 2.15636i −0.487932 0.354503i 0.316457 0.948607i \(-0.397507\pi\)
−0.804388 + 0.594104i \(0.797507\pi\)
\(38\) −3.84481 2.32992i −0.623710 0.377963i
\(39\) −0.801066 5.60421i −0.128273 0.897392i
\(40\) 4.31902 4.62018i 0.682897 0.730514i
\(41\) 7.18888 9.89465i 1.12272 1.54528i 0.321499 0.946910i \(-0.395813\pi\)
0.801216 0.598375i \(-0.204187\pi\)
\(42\) 9.09710 + 0.808811i 1.40371 + 0.124802i
\(43\) 5.08317i 0.775176i −0.921833 0.387588i \(-0.873308\pi\)
0.921833 0.387588i \(-0.126692\pi\)
\(44\) −3.26436 6.25237i −0.492120 0.942580i
\(45\) 1.49139 + 6.54032i 0.222323 + 0.974973i
\(46\) −1.70523 0.400445i −0.251423 0.0590424i
\(47\) −0.623353 + 1.91848i −0.0909254 + 0.279840i −0.986170 0.165735i \(-0.947000\pi\)
0.895245 + 0.445574i \(0.147000\pi\)
\(48\) −3.17469 6.15803i −0.458228 0.888835i
\(49\) −6.90190 −0.985986
\(50\) −6.64195 2.42581i −0.939313 0.343061i
\(51\) −3.04367 1.60918i −0.426199 0.225330i
\(52\) 4.57620 4.66800i 0.634604 0.647336i
\(53\) 4.01912 + 1.30589i 0.552069 + 0.179378i 0.571749 0.820428i \(-0.306265\pi\)
−0.0196806 + 0.999806i \(0.506265\pi\)
\(54\) 7.29661 + 0.871516i 0.992942 + 0.118598i
\(55\) −5.00788 + 6.09149i −0.675263 + 0.821377i
\(56\) 5.64353 + 8.90875i 0.754149 + 1.19048i
\(57\) 4.86762 + 2.57349i 0.644732 + 0.340867i
\(58\) −1.56937 3.73621i −0.206069 0.490589i
\(59\) 2.52634 + 1.83549i 0.328901 + 0.238960i 0.739964 0.672646i \(-0.234842\pi\)
−0.411063 + 0.911607i \(0.634842\pi\)
\(60\) −4.94998 + 5.95800i −0.639039 + 0.769174i
\(61\) 7.65840 5.56415i 0.980558 0.712417i 0.0227244 0.999742i \(-0.492766\pi\)
0.957833 + 0.287325i \(0.0927660\pi\)
\(62\) −11.7658 7.12996i −1.49426 0.905506i
\(63\) −11.1805 0.337782i −1.40861 0.0425565i
\(64\) 3.41797 7.23308i 0.427247 0.904135i
\(65\) −6.80354 2.66957i −0.843876 0.331119i
\(66\) 4.43867 + 7.41083i 0.546363 + 0.912210i
\(67\) −13.7784 + 4.47688i −1.68330 + 0.546938i −0.985548 0.169399i \(-0.945817\pi\)
−0.697754 + 0.716337i \(0.745817\pi\)
\(68\) −0.660867 3.92017i −0.0801418 0.475390i
\(69\) 2.11357 + 0.367555i 0.254444 + 0.0442485i
\(70\) 6.70192 9.70068i 0.801033 1.15945i
\(71\) −1.64679 + 5.06831i −0.195438 + 0.601497i 0.804533 + 0.593908i \(0.202416\pi\)
−0.999971 + 0.00758919i \(0.997584\pi\)
\(72\) 4.32230 + 7.30190i 0.509388 + 0.860537i
\(73\) −5.62788 + 4.08889i −0.658693 + 0.478569i −0.866221 0.499660i \(-0.833458\pi\)
0.207528 + 0.978229i \(0.433458\pi\)
\(74\) 0.432740 + 5.17013i 0.0503050 + 0.601015i
\(75\) 8.29441 + 2.49053i 0.957756 + 0.287581i
\(76\) 1.05690 + 6.26938i 0.121235 + 0.719147i
\(77\) −7.72884 10.6378i −0.880783 1.21229i
\(78\) −5.26099 + 6.03488i −0.595689 + 0.683315i
\(79\) −9.60080 3.11949i −1.08017 0.350970i −0.285732 0.958309i \(-0.592237\pi\)
−0.794442 + 0.607339i \(0.792237\pi\)
\(80\) −8.93715 0.356760i −0.999204 0.0398869i
\(81\) −8.98359 0.543315i −0.998176 0.0603684i
\(82\) −17.2362 + 1.44267i −1.90342 + 0.159316i
\(83\) −4.65327 14.3213i −0.510763 1.57197i −0.790862 0.611995i \(-0.790367\pi\)
0.280099 0.959971i \(-0.409633\pi\)
\(84\) −7.53770 10.4884i −0.822431 1.14437i
\(85\) −3.74547 + 2.39312i −0.406253 + 0.259570i
\(86\) −5.44307 + 4.69576i −0.586941 + 0.506357i
\(87\) 2.18621 + 4.45576i 0.234386 + 0.477708i
\(88\) −3.67948 + 9.27133i −0.392234 + 0.988328i
\(89\) 1.86723 + 2.57002i 0.197926 + 0.272421i 0.896431 0.443184i \(-0.146151\pi\)
−0.698505 + 0.715605i \(0.746151\pi\)
\(90\) 5.62566 7.63884i 0.592997 0.805205i
\(91\) 7.16311 9.85917i 0.750898 1.03352i
\(92\) 1.14647 + 2.19589i 0.119528 + 0.228938i
\(93\) 14.8958 + 7.87534i 1.54462 + 0.816635i
\(94\) 2.63016 1.10478i 0.271280 0.113950i
\(95\) 5.98999 3.82723i 0.614560 0.392665i
\(96\) −3.66129 + 9.08818i −0.373679 + 0.927558i
\(97\) 0.754039 2.32069i 0.0765611 0.235631i −0.905450 0.424452i \(-0.860467\pi\)
0.982011 + 0.188821i \(0.0604667\pi\)
\(98\) 6.37589 + 7.39058i 0.644062 + 0.746561i
\(99\) −5.95737 8.74317i −0.598738 0.878721i
\(100\) 3.53818 + 9.35314i 0.353818 + 0.935314i
\(101\) 10.8638i 1.08098i 0.841349 + 0.540492i \(0.181762\pi\)
−0.841349 + 0.540492i \(0.818238\pi\)
\(102\) 1.08859 + 4.74570i 0.107787 + 0.469894i
\(103\) 11.8136 + 3.83848i 1.16403 + 0.378216i 0.826412 0.563066i \(-0.190379\pi\)
0.337619 + 0.941283i \(0.390379\pi\)
\(104\) −9.22594 0.587961i −0.904678 0.0576543i
\(105\) −7.49981 + 12.3402i −0.731906 + 1.20428i
\(106\) −2.31446 5.51005i −0.224800 0.535184i
\(107\) −4.06445 −0.392925 −0.196463 0.980511i \(-0.562945\pi\)
−0.196463 + 0.980511i \(0.562945\pi\)
\(108\) −5.80729 8.61832i −0.558806 0.829298i
\(109\) 5.86170 + 4.25878i 0.561449 + 0.407917i 0.831989 0.554792i \(-0.187202\pi\)
−0.270540 + 0.962709i \(0.587202\pi\)
\(110\) 11.1490 0.264789i 1.06302 0.0252466i
\(111\) −0.899135 6.29029i −0.0853421 0.597048i
\(112\) 4.32609 14.2729i 0.408777 1.34866i
\(113\) 7.49495 10.3159i 0.705066 0.970439i −0.294824 0.955552i \(-0.595261\pi\)
0.999889 0.0148878i \(-0.00473911\pi\)
\(114\) −1.74094 7.58962i −0.163054 0.710833i
\(115\) 1.75882 2.13939i 0.164011 0.199499i
\(116\) −2.55098 + 5.13195i −0.236853 + 0.476490i
\(117\) 6.00042 7.75510i 0.554739 0.716959i
\(118\) −0.368348 4.40081i −0.0339092 0.405127i
\(119\) −2.29023 7.04861i −0.209945 0.646145i
\(120\) 10.9526 0.203472i 0.999827 0.0185744i
\(121\) 0.444067 1.36670i 0.0403697 0.124245i
\(122\) −13.0328 3.06054i −1.17994 0.277088i
\(123\) 20.9706 2.99754i 1.89086 0.270279i
\(124\) 3.23430 + 19.1854i 0.290448 + 1.72290i
\(125\) 8.07924 7.72825i 0.722629 0.691236i
\(126\) 9.96668 + 12.2841i 0.887902 + 1.09436i
\(127\) −1.49096 2.05213i −0.132301 0.182097i 0.737727 0.675099i \(-0.235899\pi\)
−0.870028 + 0.493003i \(0.835899\pi\)
\(128\) −10.9027 + 3.02185i −0.963670 + 0.267096i
\(129\) 6.31889 6.13087i 0.556347 0.539793i
\(130\) 3.42645 + 9.75136i 0.300519 + 0.855251i
\(131\) −4.39825 13.5364i −0.384277 1.18268i −0.937004 0.349320i \(-0.886413\pi\)
0.552727 0.833362i \(-0.313587\pi\)
\(132\) 3.83514 11.5990i 0.333806 1.00956i
\(133\) 3.66268 + 11.2726i 0.317595 + 0.977456i
\(134\) 17.5222 + 10.6183i 1.51369 + 0.917280i
\(135\) −6.33149 + 9.74229i −0.544927 + 0.838483i
\(136\) −3.58723 + 4.32906i −0.307602 + 0.371214i
\(137\) −2.86731 + 3.94651i −0.244971 + 0.337173i −0.913742 0.406295i \(-0.866821\pi\)
0.668771 + 0.743468i \(0.266821\pi\)
\(138\) −1.55891 2.60276i −0.132703 0.221561i
\(139\) −10.2971 14.1727i −0.873386 1.20211i −0.978209 0.207622i \(-0.933428\pi\)
0.104823 0.994491i \(-0.466572\pi\)
\(140\) −16.5787 + 1.78493i −1.40115 + 0.150854i
\(141\) −3.13670 + 1.53901i −0.264158 + 0.129608i
\(142\) 6.94844 2.91864i 0.583100 0.244927i
\(143\) 11.5267 0.963909
\(144\) 3.82601 11.3737i 0.318834 0.947810i
\(145\) 6.39602 + 0.382681i 0.531161 + 0.0317800i
\(146\) 9.57736 + 2.24908i 0.792628 + 0.186135i
\(147\) −8.32446 8.57976i −0.686590 0.707646i
\(148\) 5.13643 5.23947i 0.422212 0.430682i
\(149\) 0.975207i 0.0798921i −0.999202 0.0399460i \(-0.987281\pi\)
0.999202 0.0399460i \(-0.0127186\pi\)
\(150\) −4.99540 11.1824i −0.407873 0.913039i
\(151\) 17.7976i 1.44835i 0.689618 + 0.724173i \(0.257778\pi\)
−0.689618 + 0.724173i \(0.742222\pi\)
\(152\) 5.73691 6.92330i 0.465325 0.561553i
\(153\) −1.67063 5.72442i −0.135063 0.462792i
\(154\) −4.25122 + 18.1031i −0.342573 + 1.45879i
\(155\) 18.3304 11.7120i 1.47234 0.940729i
\(156\) 11.3222 + 0.0585373i 0.906501 + 0.00468673i
\(157\) −4.81242 −0.384073 −0.192036 0.981388i \(-0.561509\pi\)
−0.192036 + 0.981388i \(0.561509\pi\)
\(158\) 5.52874 + 13.1623i 0.439843 + 1.04714i
\(159\) 3.22415 + 6.57122i 0.255692 + 0.521132i
\(160\) 7.87401 + 9.89950i 0.622495 + 0.782624i
\(161\) 2.71444 + 3.73611i 0.213928 + 0.294447i
\(162\) 7.71713 + 10.1216i 0.606315 + 0.795224i
\(163\) −5.99998 + 8.25827i −0.469955 + 0.646837i −0.976536 0.215355i \(-0.930909\pi\)
0.506581 + 0.862192i \(0.330909\pi\)
\(164\) 17.4674 + 17.1239i 1.36397 + 1.33715i
\(165\) −13.6124 + 1.12172i −1.05972 + 0.0873257i
\(166\) −11.0366 + 18.2126i −0.856610 + 1.41357i
\(167\) −0.965785 2.97238i −0.0747347 0.230010i 0.906710 0.421754i \(-0.138585\pi\)
−0.981445 + 0.191745i \(0.938585\pi\)
\(168\) −4.26774 + 17.7604i −0.329263 + 1.37025i
\(169\) −0.716006 2.20364i −0.0550774 0.169511i
\(170\) 6.02258 + 1.79993i 0.461911 + 0.138048i
\(171\) 2.67178 + 9.15485i 0.204316 + 0.700089i
\(172\) 10.0565 + 1.49057i 0.766799 + 0.113655i
\(173\) −4.83491 6.65468i −0.367591 0.505946i 0.584653 0.811283i \(-0.301231\pi\)
−0.952244 + 0.305338i \(0.901231\pi\)
\(174\) 2.75165 6.45717i 0.208602 0.489517i
\(175\) 9.08136 + 16.2812i 0.686486 + 1.23074i
\(176\) 13.3268 4.62474i 1.00455 0.348603i
\(177\) 0.765343 + 5.35429i 0.0575267 + 0.402453i
\(178\) 1.02706 4.37358i 0.0769815 0.327814i
\(179\) −2.04563 + 6.29581i −0.152898 + 0.470571i −0.997942 0.0641256i \(-0.979574\pi\)
0.845044 + 0.534697i \(0.179574\pi\)
\(180\) −13.3766 + 1.03269i −0.997033 + 0.0769722i
\(181\) 3.15883 + 9.72189i 0.234794 + 0.722623i 0.997149 + 0.0754627i \(0.0240434\pi\)
−0.762354 + 0.647160i \(0.775957\pi\)
\(182\) −17.1744 + 1.43750i −1.27305 + 0.106555i
\(183\) 16.1537 + 2.80917i 1.19411 + 0.207660i
\(184\) 1.29227 3.25618i 0.0952675 0.240049i
\(185\) −7.63645 2.99638i −0.561443 0.220298i
\(186\) −5.32759 23.2256i −0.390638 1.70298i
\(187\) 4.12038 5.67121i 0.301312 0.414720i
\(188\) −3.61271 1.79580i −0.263484 0.130972i
\(189\) −13.0650 14.3058i −0.950339 1.04060i
\(190\) −9.63168 2.87856i −0.698755 0.208832i
\(191\) 6.72260 + 4.88425i 0.486430 + 0.353412i 0.803810 0.594886i \(-0.202803\pi\)
−0.317380 + 0.948299i \(0.602803\pi\)
\(192\) 13.1139 4.47501i 0.946414 0.322956i
\(193\) −22.5549 −1.62354 −0.811768 0.583981i \(-0.801494\pi\)
−0.811768 + 0.583981i \(0.801494\pi\)
\(194\) −3.18158 + 1.33640i −0.228424 + 0.0959479i
\(195\) −4.88729 11.6773i −0.349986 0.836227i
\(196\) 2.02389 13.6546i 0.144563 0.975331i
\(197\) 14.3446 + 4.66083i 1.02201 + 0.332070i 0.771626 0.636077i \(-0.219444\pi\)
0.250382 + 0.968147i \(0.419444\pi\)
\(198\) −3.85886 + 14.4560i −0.274238 + 1.02734i
\(199\) 2.42902i 0.172189i 0.996287 + 0.0860944i \(0.0274387\pi\)
−0.996287 + 0.0860944i \(0.972561\pi\)
\(200\) 6.74684 12.4290i 0.477074 0.878863i
\(201\) −22.1835 11.7283i −1.56470 0.827253i
\(202\) 11.6329 10.0358i 0.818491 0.706117i
\(203\) −3.30157 + 10.1612i −0.231725 + 0.713176i
\(204\) 4.07608 5.54968i 0.285383 0.388555i
\(205\) 9.98936 25.4585i 0.697687 1.77810i
\(206\) −6.80301 16.1960i −0.473988 1.12843i
\(207\) 2.09229 + 3.07069i 0.145424 + 0.213428i
\(208\) 7.89321 + 10.4223i 0.547296 + 0.722657i
\(209\) −6.58956 + 9.06975i −0.455809 + 0.627368i
\(210\) 20.1422 3.36894i 1.38994 0.232479i
\(211\) −12.6279 17.3808i −0.869338 1.19654i −0.979261 0.202601i \(-0.935061\pi\)
0.109923 0.993940i \(-0.464939\pi\)
\(212\) −3.76211 + 7.56844i −0.258383 + 0.519803i
\(213\) −8.28662 + 4.06581i −0.567790 + 0.278585i
\(214\) 3.75469 + 4.35222i 0.256665 + 0.297512i
\(215\) −2.86049 11.0005i −0.195084 0.750227i
\(216\) −3.86382 + 14.1799i −0.262900 + 0.964823i
\(217\) 11.2084 + 34.4961i 0.760879 + 2.34174i
\(218\) −0.854655 10.2109i −0.0578845 0.691571i
\(219\) −11.8707 2.06436i −0.802151 0.139496i
\(220\) −10.5828 11.6938i −0.713495 0.788394i
\(221\) 6.17891 + 2.00765i 0.415639 + 0.135049i
\(222\) −5.90505 + 6.77368i −0.396321 + 0.454620i
\(223\) 7.58971 + 10.4463i 0.508245 + 0.699539i 0.983622 0.180243i \(-0.0576885\pi\)
−0.475377 + 0.879782i \(0.657688\pi\)
\(224\) −19.2798 + 8.55272i −1.28819 + 0.571453i
\(225\) 6.90800 + 13.3146i 0.460534 + 0.887642i
\(226\) −17.9700 + 1.50409i −1.19535 + 0.100051i
\(227\) −16.2638 + 11.8164i −1.07947 + 0.784280i −0.977590 0.210517i \(-0.932485\pi\)
−0.101878 + 0.994797i \(0.532485\pi\)
\(228\) −6.51872 + 8.87539i −0.431713 + 0.587787i
\(229\) 6.62251 20.3820i 0.437628 1.34688i −0.452742 0.891641i \(-0.649554\pi\)
0.890370 0.455238i \(-0.150446\pi\)
\(230\) −3.91564 + 0.0929963i −0.258190 + 0.00613200i
\(231\) 3.90205 22.4381i 0.256736 1.47632i
\(232\) 7.85187 2.00923i 0.515501 0.131912i
\(233\) 12.6284 4.10322i 0.827315 0.268811i 0.135401 0.990791i \(-0.456768\pi\)
0.691914 + 0.721980i \(0.256768\pi\)
\(234\) −13.8473 + 0.738800i −0.905226 + 0.0482969i
\(235\) −0.269394 + 4.50257i −0.0175733 + 0.293715i
\(236\) −4.37212 + 4.45984i −0.284601 + 0.290311i
\(237\) −7.70179 15.6972i −0.500285 1.01964i
\(238\) −5.43198 + 8.96380i −0.352103 + 0.581037i
\(239\) −14.7591 + 10.7231i −0.954690 + 0.693623i −0.951911 0.306373i \(-0.900884\pi\)
−0.00277843 + 0.999996i \(0.500884\pi\)
\(240\) −10.3357 11.5401i −0.667167 0.744908i
\(241\) 2.25312 + 1.63699i 0.145136 + 0.105448i 0.657984 0.753032i \(-0.271409\pi\)
−0.512848 + 0.858480i \(0.671409\pi\)
\(242\) −1.87369 + 0.787029i −0.120445 + 0.0505921i
\(243\) −10.1598 11.8228i −0.651752 0.758432i
\(244\) 8.76233 + 16.7829i 0.560950 + 1.07441i
\(245\) −14.9364 + 3.88397i −0.954252 + 0.248137i
\(246\) −22.5822 19.6863i −1.43979 1.25515i
\(247\) −9.88170 3.21076i −0.628757 0.204296i
\(248\) 17.5560 21.1865i 1.11481 1.34534i
\(249\) 12.1904 23.0575i 0.772537 1.46121i
\(250\) −15.7389 1.51201i −0.995417 0.0956279i
\(251\) −11.1014 −0.700715 −0.350358 0.936616i \(-0.613940\pi\)
−0.350358 + 0.936616i \(0.613940\pi\)
\(252\) 3.94678 22.0203i 0.248624 1.38715i
\(253\) −1.34979 + 4.15422i −0.0848605 + 0.261174i
\(254\) −0.820096 + 3.49225i −0.0514574 + 0.219123i
\(255\) −7.49234 1.76963i −0.469189 0.110818i
\(256\) 13.3076 + 8.88307i 0.831722 + 0.555192i
\(257\) 20.4641i 1.27652i 0.769823 + 0.638258i \(0.220345\pi\)
−0.769823 + 0.638258i \(0.779655\pi\)
\(258\) −12.4022 1.10267i −0.772130 0.0686491i
\(259\) 8.04004 11.0662i 0.499584 0.687618i
\(260\) 7.27648 12.6772i 0.451268 0.786208i
\(261\) −2.90215 + 8.09182i −0.179638 + 0.500871i
\(262\) −10.4318 + 17.2144i −0.644478 + 1.06351i
\(263\) 5.35509 + 3.89070i 0.330209 + 0.239911i 0.740519 0.672035i \(-0.234580\pi\)
−0.410310 + 0.911946i \(0.634580\pi\)
\(264\) −15.9631 + 6.60829i −0.982458 + 0.406712i
\(265\) 9.43266 + 0.564366i 0.579443 + 0.0346688i
\(266\) 8.68716 14.3355i 0.532644 0.878963i
\(267\) −0.942706 + 5.42088i −0.0576927 + 0.331752i
\(268\) −4.81667 28.5718i −0.294225 1.74530i
\(269\) −10.0302 + 3.25901i −0.611553 + 0.198706i −0.598386 0.801208i \(-0.704191\pi\)
−0.0131667 + 0.999913i \(0.504191\pi\)
\(270\) 16.2810 2.22003i 0.990831 0.135107i
\(271\) −13.0599 4.24343i −0.793335 0.257770i −0.115811 0.993271i \(-0.536947\pi\)
−0.677523 + 0.735501i \(0.736947\pi\)
\(272\) 7.94940 0.157915i 0.482003 0.00957499i
\(273\) 20.8954 2.98680i 1.26465 0.180769i
\(274\) 6.87472 0.575414i 0.415317 0.0347621i
\(275\) −7.40964 + 16.0007i −0.446818 + 0.964880i
\(276\) −1.34694 + 4.07367i −0.0810763 + 0.245206i
\(277\) −2.80357 + 2.03691i −0.168450 + 0.122386i −0.668816 0.743428i \(-0.733199\pi\)
0.500366 + 0.865814i \(0.333199\pi\)
\(278\) −5.66387 + 24.1187i −0.339696 + 1.44654i
\(279\) 8.17612 + 28.0155i 0.489491 + 1.67724i
\(280\) 17.2265 + 16.1036i 1.02948 + 0.962373i
\(281\) 11.6216 3.77609i 0.693286 0.225262i 0.0588833 0.998265i \(-0.481246\pi\)
0.634403 + 0.773003i \(0.281246\pi\)
\(282\) 4.54562 + 1.93706i 0.270688 + 0.115351i
\(283\) 18.0203 5.85515i 1.07120 0.348053i 0.280243 0.959929i \(-0.409585\pi\)
0.790953 + 0.611876i \(0.209585\pi\)
\(284\) −9.54417 4.74420i −0.566342 0.281517i
\(285\) 11.9822 + 2.83010i 0.709765 + 0.167640i
\(286\) −10.6482 12.3428i −0.629641 0.729845i
\(287\) 36.8925 + 26.8039i 2.17769 + 1.58219i
\(288\) −15.7134 + 6.40999i −0.925923 + 0.377712i
\(289\) −10.5568 + 7.66994i −0.620986 + 0.451173i
\(290\) −5.49879 7.20239i −0.322900 0.422939i
\(291\) 3.79431 1.86167i 0.222426 0.109133i
\(292\) −6.43911 12.3331i −0.376821 0.721742i
\(293\) 3.61826i 0.211381i −0.994399 0.105690i \(-0.966295\pi\)
0.994399 0.105690i \(-0.0337053\pi\)
\(294\) −1.49720 + 16.8397i −0.0873183 + 0.982112i
\(295\) 6.50014 + 2.55052i 0.378453 + 0.148497i
\(296\) −10.3554 0.659941i −0.601896 0.0383583i
\(297\) 3.68338 17.9508i 0.213731 1.04161i
\(298\) −1.04425 + 0.900883i −0.0604920 + 0.0521868i
\(299\) −4.04828 −0.234118
\(300\) −7.35945 + 15.6792i −0.424898 + 0.905241i
\(301\) 18.9527 1.09242
\(302\) 19.0577 16.4412i 1.09665 0.946083i
\(303\) −13.5047 + 13.1029i −0.775827 + 0.752742i
\(304\) −12.7132 + 0.252547i −0.729150 + 0.0144846i
\(305\) 13.4424 16.3511i 0.769708 0.936259i
\(306\) −4.58642 + 7.07707i −0.262188 + 0.404569i
\(307\) 9.93345i 0.566932i −0.958982 0.283466i \(-0.908516\pi\)
0.958982 0.283466i \(-0.0914843\pi\)
\(308\) 23.3121 12.1712i 1.32833 0.693520i
\(309\) 9.47692 + 19.3151i 0.539123 + 1.09880i
\(310\) −29.4746 8.80889i −1.67405 0.500311i
\(311\) 15.5100 11.2687i 0.879494 0.638990i −0.0536238 0.998561i \(-0.517077\pi\)
0.933117 + 0.359572i \(0.117077\pi\)
\(312\) −10.3966 12.1779i −0.588592 0.689438i
\(313\) 9.58416 + 6.96330i 0.541729 + 0.393589i 0.824727 0.565532i \(-0.191329\pi\)
−0.282998 + 0.959120i \(0.591329\pi\)
\(314\) 4.44565 + 5.15315i 0.250883 + 0.290809i
\(315\) −24.3857 + 5.56069i −1.37398 + 0.313309i
\(316\) 8.98686 18.0794i 0.505550 1.01704i
\(317\) −17.6980 + 5.75042i −0.994017 + 0.322976i −0.760472 0.649370i \(-0.775033\pi\)
−0.233545 + 0.972346i \(0.575033\pi\)
\(318\) 4.05805 9.52284i 0.227564 0.534014i
\(319\) −9.61093 + 3.12278i −0.538109 + 0.174842i
\(320\) 3.32650 17.5765i 0.185957 0.982558i
\(321\) −4.90218 5.05252i −0.273613 0.282004i
\(322\) 1.49307 6.35800i 0.0832056 0.354318i
\(323\) −5.11207 + 3.71414i −0.284443 + 0.206660i
\(324\) 3.70920 17.6137i 0.206067 0.978538i
\(325\) −16.2258 1.94859i −0.900046 0.108088i
\(326\) 14.3857 1.20408i 0.796749 0.0666879i
\(327\) 1.77578 + 12.4232i 0.0982008 + 0.687007i
\(328\) 2.20012 34.5229i 0.121481 1.90621i
\(329\) −7.15311 2.32419i −0.394364 0.128137i
\(330\) 13.7761 + 13.5400i 0.758349 + 0.745350i
\(331\) 12.9742 4.21557i 0.713125 0.231709i 0.0700853 0.997541i \(-0.477673\pi\)
0.643040 + 0.765832i \(0.277673\pi\)
\(332\) 29.6976 5.00645i 1.62986 0.274764i
\(333\) 6.73500 8.70450i 0.369076 0.477004i
\(334\) −2.29065 + 3.78001i −0.125339 + 0.206833i
\(335\) −27.2986 + 17.4421i −1.49148 + 0.952961i
\(336\) 22.9604 11.8369i 1.25259 0.645757i
\(337\) 8.98416 + 6.52737i 0.489398 + 0.355569i 0.804953 0.593339i \(-0.202191\pi\)
−0.315555 + 0.948907i \(0.602191\pi\)
\(338\) −1.69823 + 2.80239i −0.0923713 + 0.152430i
\(339\) 21.8634 3.12516i 1.18746 0.169736i
\(340\) −3.63621 8.11174i −0.197201 0.439921i
\(341\) −20.1652 + 27.7550i −1.09201 + 1.50302i
\(342\) 7.33488 11.3181i 0.396625 0.612012i
\(343\) 0.365751i 0.0197487i
\(344\) −7.69393 12.1455i −0.414829 0.654840i
\(345\) 4.78081 0.393959i 0.257390 0.0212100i
\(346\) −2.65942 + 11.3247i −0.142971 + 0.608821i
\(347\) 9.64726 29.6912i 0.517892 1.59391i −0.260065 0.965591i \(-0.583744\pi\)
0.777957 0.628317i \(-0.216256\pi\)
\(348\) −9.45630 + 3.01858i −0.506911 + 0.161813i
\(349\) −29.9971 −1.60571 −0.802854 0.596176i \(-0.796686\pi\)
−0.802854 + 0.596176i \(0.796686\pi\)
\(350\) 9.04468 24.7647i 0.483459 1.32373i
\(351\) 16.8775 1.89440i 0.900856 0.101115i
\(352\) −17.2633 9.99813i −0.920138 0.532902i
\(353\) −11.6343 3.78021i −0.619231 0.201200i −0.0174322 0.999848i \(-0.505549\pi\)
−0.601799 + 0.798648i \(0.705549\pi\)
\(354\) 5.02638 5.76576i 0.267149 0.306446i
\(355\) −0.711693 + 11.8950i −0.0377728 + 0.631323i
\(356\) −5.63203 + 2.94048i −0.298497 + 0.155845i
\(357\) 5.99985 11.3484i 0.317546 0.600620i
\(358\) 8.63130 3.62552i 0.456179 0.191615i
\(359\) −18.1287 13.1713i −0.956796 0.695153i −0.00439181 0.999990i \(-0.501398\pi\)
−0.952404 + 0.304837i \(0.901398\pi\)
\(360\) 13.4629 + 13.3697i 0.709559 + 0.704646i
\(361\) −7.19578 + 5.22804i −0.378725 + 0.275160i
\(362\) 7.49214 12.3634i 0.393778 0.649808i
\(363\) 2.23453 1.09637i 0.117283 0.0575444i
\(364\) 17.4048 + 17.0625i 0.912258 + 0.894316i
\(365\) −9.87831 + 12.0158i −0.517055 + 0.628935i
\(366\) −11.9145 19.8925i −0.622780 1.03980i
\(367\) 3.66107 1.18955i 0.191106 0.0620941i −0.211900 0.977291i \(-0.567965\pi\)
0.403006 + 0.915197i \(0.367965\pi\)
\(368\) −4.68051 + 1.62425i −0.243989 + 0.0846700i
\(369\) 29.0191 + 22.4532i 1.51068 + 1.16887i
\(370\) 3.84592 + 10.9451i 0.199940 + 0.569011i
\(371\) −4.86905 + 14.9854i −0.252789 + 0.778003i
\(372\) −19.9484 + 27.1603i −1.03428 + 1.40819i
\(373\) −2.92021 + 2.12166i −0.151203 + 0.109855i −0.660815 0.750549i \(-0.729789\pi\)
0.509612 + 0.860405i \(0.329789\pi\)
\(374\) −9.87910 + 0.826881i −0.510836 + 0.0427570i
\(375\) 19.3514 + 0.722170i 0.999304 + 0.0372927i
\(376\) 1.41443 + 5.52744i 0.0729435 + 0.285056i
\(377\) −5.50510 7.57712i −0.283527 0.390242i
\(378\) −3.24947 + 27.2056i −0.167135 + 1.39930i
\(379\) 18.4435 + 5.99265i 0.947377 + 0.307822i 0.741649 0.670788i \(-0.234044\pi\)
0.205728 + 0.978609i \(0.434044\pi\)
\(380\) 5.81525 + 12.9728i 0.298316 + 0.665490i
\(381\) 0.752738 4.32850i 0.0385640 0.221756i
\(382\) −0.980177 11.7106i −0.0501502 0.599166i
\(383\) 2.00882 + 6.18251i 0.102646 + 0.315912i 0.989171 0.146769i \(-0.0468875\pi\)
−0.886525 + 0.462681i \(0.846888\pi\)
\(384\) −16.9063 9.90843i −0.862746 0.505638i
\(385\) −22.7123 18.6720i −1.15753 0.951614i
\(386\) 20.8359 + 24.1518i 1.06052 + 1.22929i
\(387\) 15.2426 + 0.460504i 0.774823 + 0.0234087i
\(388\) 4.37012 + 2.17229i 0.221859 + 0.110281i
\(389\) 15.1483 + 20.8499i 0.768050 + 1.05713i 0.996502 + 0.0835748i \(0.0266337\pi\)
−0.228452 + 0.973555i \(0.573366\pi\)
\(390\) −7.98924 + 16.0206i −0.404551 + 0.811236i
\(391\) −1.44712 + 1.99179i −0.0731839 + 0.100729i
\(392\) −16.4911 + 10.4468i −0.832924 + 0.527642i
\(393\) 11.5223 21.7939i 0.581225 1.09936i
\(394\) −8.26049 19.6658i −0.416157 0.990749i
\(395\) −22.5325 1.34815i −1.13374 0.0678327i
\(396\) 19.0443 9.22217i 0.957011 0.463432i
\(397\) 0.244560 0.752678i 0.0122741 0.0377758i −0.944732 0.327844i \(-0.893678\pi\)
0.957006 + 0.290068i \(0.0936780\pi\)
\(398\) 2.60100 2.24390i 0.130377 0.112477i
\(399\) −9.59533 + 18.1490i −0.480367 + 0.908589i
\(400\) −19.5417 + 4.25721i −0.977083 + 0.212861i
\(401\) 0.428760i 0.0214112i 0.999943 + 0.0107056i \(0.00340777\pi\)
−0.999943 + 0.0107056i \(0.996592\pi\)
\(402\) 7.93410 + 34.5886i 0.395717 + 1.72512i
\(403\) −30.2397 9.82549i −1.50635 0.489442i
\(404\) −21.4927 3.18565i −1.06930 0.158492i
\(405\) −19.7471 + 3.87962i −0.981242 + 0.192780i
\(406\) 13.9306 5.85144i 0.691363 0.290402i
\(407\) 12.9378 0.641303
\(408\) −9.70804 + 0.762042i −0.480620 + 0.0377267i
\(409\) −1.76803 1.28455i −0.0874236 0.0635169i 0.543215 0.839594i \(-0.317207\pi\)
−0.630638 + 0.776077i \(0.717207\pi\)
\(410\) −36.4890 + 12.8216i −1.80206 + 0.633212i
\(411\) −8.36420 + 1.19558i −0.412576 + 0.0589736i
\(412\) −11.0582 + 22.2463i −0.544797 + 1.09600i
\(413\) −6.84367 + 9.41951i −0.336755 + 0.463504i
\(414\) 1.35527 5.07709i 0.0666080 0.249525i
\(415\) −18.1293 28.3741i −0.889931 1.39283i
\(416\) 3.86859 18.0801i 0.189673 0.886448i
\(417\) 5.19867 29.8941i 0.254580 1.46392i
\(418\) 15.7993 1.32240i 0.772767 0.0646807i
\(419\) 9.76274 + 30.0466i 0.476941 + 1.46787i 0.843322 + 0.537409i \(0.180597\pi\)
−0.366381 + 0.930465i \(0.619403\pi\)
\(420\) −22.2145 18.4561i −1.08396 0.900566i
\(421\) 9.48522 29.1925i 0.462281 1.42276i −0.400088 0.916477i \(-0.631020\pi\)
0.862370 0.506279i \(-0.168980\pi\)
\(422\) −6.94591 + 29.5781i −0.338122 + 1.43984i
\(423\) −5.69635 2.04301i −0.276966 0.0993345i
\(424\) 11.5797 2.96315i 0.562360 0.143903i
\(425\) −6.75887 + 7.28667i −0.327854 + 0.353455i
\(426\) 12.0088 + 5.11740i 0.581826 + 0.247939i
\(427\) 20.7461 + 28.5545i 1.00397 + 1.38185i
\(428\) 1.19184 8.04105i 0.0576099 0.388679i
\(429\) 13.9024 + 14.3288i 0.671216 + 0.691801i
\(430\) −9.13686 + 13.2251i −0.440618 + 0.637772i
\(431\) −7.88093 24.2550i −0.379611 1.16832i −0.940315 0.340306i \(-0.889469\pi\)
0.560703 0.828017i \(-0.310531\pi\)
\(432\) 18.7533 8.96186i 0.902267 0.431178i
\(433\) 0.154154 + 0.474436i 0.00740816 + 0.0228000i 0.954692 0.297595i \(-0.0961844\pi\)
−0.947284 + 0.320395i \(0.896184\pi\)
\(434\) 26.5842 43.8690i 1.27608 2.10578i
\(435\) 7.23860 + 8.41245i 0.347064 + 0.403346i
\(436\) −10.1444 + 10.3479i −0.485827 + 0.495574i
\(437\) 2.31432 3.18539i 0.110709 0.152378i
\(438\) 8.75552 + 14.6183i 0.418355 + 0.698487i
\(439\) 22.1168 + 30.4412i 1.05558 + 1.45288i 0.883872 + 0.467729i \(0.154928\pi\)
0.171705 + 0.985148i \(0.445072\pi\)
\(440\) −2.74543 + 22.1347i −0.130883 + 1.05523i
\(441\) 0.625270 20.6963i 0.0297748 0.985537i
\(442\) −3.55820 8.47103i −0.169246 0.402926i
\(443\) 0.491915 0.0233716 0.0116858 0.999932i \(-0.496280\pi\)
0.0116858 + 0.999932i \(0.496280\pi\)
\(444\) 12.7083 + 0.0657036i 0.603109 + 0.00311815i
\(445\) 5.48711 + 4.51101i 0.260114 + 0.213843i
\(446\) 4.17469 17.7773i 0.197677 0.841778i
\(447\) 1.21228 1.17621i 0.0573389 0.0556327i
\(448\) 26.9687 + 12.7440i 1.27415 + 0.602098i
\(449\) 10.9779i 0.518081i 0.965866 + 0.259040i \(0.0834063\pi\)
−0.965866 + 0.259040i \(0.916594\pi\)
\(450\) 7.87582 19.6970i 0.371270 0.928525i
\(451\) 43.1322i 2.03101i
\(452\) 18.2111 + 17.8529i 0.856577 + 0.839730i
\(453\) −22.1242 + 21.4659i −1.03948 + 1.00855i
\(454\) 27.6773 + 6.49955i 1.29896 + 0.305039i
\(455\) 9.95355 25.3672i 0.466629 1.18923i
\(456\) 15.5257 1.21870i 0.727058 0.0570711i
\(457\) 11.4440 0.535328 0.267664 0.963512i \(-0.413748\pi\)
0.267664 + 0.963512i \(0.413748\pi\)
\(458\) −27.9429 + 11.7372i −1.30568 + 0.548444i
\(459\) 5.10106 8.98105i 0.238097 0.419200i
\(460\) 3.71680 + 4.10697i 0.173297 + 0.191488i
\(461\) −20.3963 28.0731i −0.949950 1.30749i −0.951550 0.307495i \(-0.900509\pi\)
0.00160016 0.999999i \(-0.499491\pi\)
\(462\) −27.6315 + 16.5497i −1.28553 + 0.769962i
\(463\) 1.65458 2.27734i 0.0768950 0.105837i −0.768837 0.639445i \(-0.779164\pi\)
0.845732 + 0.533608i \(0.179164\pi\)
\(464\) −9.40494 6.55170i −0.436614 0.304155i
\(465\) 36.6677 + 8.66060i 1.70042 + 0.401626i
\(466\) −16.0597 9.73203i −0.743951 0.450828i
\(467\) −12.0315 37.0291i −0.556751 1.71350i −0.691275 0.722592i \(-0.742951\pi\)
0.134524 0.990910i \(-0.457049\pi\)
\(468\) 13.5831 + 14.1452i 0.627877 + 0.653863i
\(469\) −16.6922 51.3732i −0.770772 2.37219i
\(470\) 5.07023 3.87095i 0.233872 0.178554i
\(471\) −5.80431 5.98232i −0.267449 0.275651i
\(472\) 8.81451 + 0.561741i 0.405721 + 0.0258562i
\(473\) 10.5369 + 14.5028i 0.484486 + 0.666838i
\(474\) −9.69379 + 22.7480i −0.445251 + 1.04485i
\(475\) 10.8092 11.6533i 0.495960 0.534690i
\(476\) 14.6165 2.46406i 0.669944 0.112940i
\(477\) −4.28000 + 11.9336i −0.195968 + 0.546400i
\(478\) 25.1167 + 5.89823i 1.14881 + 0.269779i
\(479\) 7.46967 22.9893i 0.341298 1.05041i −0.622238 0.782828i \(-0.713776\pi\)
0.963536 0.267579i \(-0.0862236\pi\)
\(480\) −2.80914 + 21.7281i −0.128219 + 0.991746i
\(481\) 3.70536 + 11.4039i 0.168950 + 0.519974i
\(482\) −0.328512 3.92487i −0.0149633 0.178773i
\(483\) −1.37044 + 7.88049i −0.0623572 + 0.358575i
\(484\) 2.57364 + 1.27930i 0.116984 + 0.0581500i
\(485\) 0.325873 5.44654i 0.0147971 0.247315i
\(486\) −3.27438 + 21.8009i −0.148529 + 0.988908i
\(487\) 13.4284 18.4826i 0.608499 0.837527i −0.387954 0.921679i \(-0.626818\pi\)
0.996453 + 0.0841514i \(0.0268179\pi\)
\(488\) 9.87663 24.8865i 0.447094 1.12656i
\(489\) −17.5025 + 2.50181i −0.791490 + 0.113136i
\(490\) 17.9570 + 12.4060i 0.811215 + 0.560445i
\(491\) 7.17720 + 5.21454i 0.323903 + 0.235329i 0.737839 0.674977i \(-0.235846\pi\)
−0.413936 + 0.910306i \(0.635846\pi\)
\(492\) −0.219043 + 42.3670i −0.00987522 + 1.91005i
\(493\) −5.69588 −0.256530
\(494\) 5.69049 + 13.5474i 0.256027 + 0.609526i
\(495\) −17.8125 15.5686i −0.800611 0.699758i
\(496\) −38.9045 + 0.772838i −1.74687 + 0.0347015i
\(497\) −18.8973 6.14011i −0.847660 0.275422i
\(498\) −35.9514 + 8.24670i −1.61102 + 0.369544i
\(499\) 7.10021i 0.317849i −0.987291 0.158925i \(-0.949197\pi\)
0.987291 0.158925i \(-0.0508027\pi\)
\(500\) 12.9203 + 18.2501i 0.577816 + 0.816167i
\(501\) 2.53012 4.78558i 0.113037 0.213804i
\(502\) 10.2553 + 11.8874i 0.457718 + 0.530562i
\(503\) −3.16395 + 9.73764i −0.141074 + 0.434180i −0.996485 0.0837689i \(-0.973304\pi\)
0.855412 + 0.517949i \(0.173304\pi\)
\(504\) −27.2253 + 16.1158i −1.21271 + 0.717855i
\(505\) 6.11345 + 23.5103i 0.272045 + 1.04619i
\(506\) 5.69527 2.39226i 0.253186 0.106349i
\(507\) 1.87576 3.54790i 0.0833055 0.157568i
\(508\) 4.49710 2.34793i 0.199527 0.104173i
\(509\) 18.1736 25.0138i 0.805531 1.10872i −0.186466 0.982461i \(-0.559703\pi\)
0.991998 0.126257i \(-0.0402965\pi\)
\(510\) 5.02640 + 9.65758i 0.222573 + 0.427645i
\(511\) −15.2455 20.9837i −0.674423 0.928264i
\(512\) −2.78133 22.4558i −0.122919 0.992417i
\(513\) −8.15793 + 14.3631i −0.360181 + 0.634144i
\(514\) 21.9130 18.9045i 0.966542 0.833840i
\(515\) 27.7259 + 1.65887i 1.22175 + 0.0730986i
\(516\) 10.2763 + 14.2990i 0.452389 + 0.629478i
\(517\) −2.19833 6.76576i −0.0966823 0.297558i
\(518\) −19.2770 + 1.61348i −0.846981 + 0.0708923i
\(519\) 2.44100 14.0365i 0.107148 0.616136i
\(520\) −20.2967 + 3.91938i −0.890070 + 0.171876i
\(521\) 10.0963 + 3.28050i 0.442329 + 0.143721i 0.521710 0.853123i \(-0.325294\pi\)
−0.0793809 + 0.996844i \(0.525294\pi\)
\(522\) 11.3457 4.36749i 0.496588 0.191160i
\(523\) −8.14789 11.2146i −0.356282 0.490381i 0.592826 0.805331i \(-0.298012\pi\)
−0.949108 + 0.314950i \(0.898012\pi\)
\(524\) 28.0700 4.73207i 1.22624 0.206721i
\(525\) −9.28600 + 30.9259i −0.405274 + 1.34972i
\(526\) −0.780789 9.32842i −0.0340440 0.406738i
\(527\) −15.6438 + 11.3659i −0.681457 + 0.495107i
\(528\) 21.8226 + 10.9886i 0.949708 + 0.478219i
\(529\) −6.63333 + 20.4153i −0.288406 + 0.887622i
\(530\) −8.10944 10.6219i −0.352251 0.461384i
\(531\) −5.73283 + 7.40927i −0.248784 + 0.321535i
\(532\) −23.3755 + 3.94067i −1.01346 + 0.170850i
\(533\) −38.0185 + 12.3530i −1.64676 + 0.535066i
\(534\) 6.67555 3.99828i 0.288879 0.173023i
\(535\) −8.79588 + 2.28722i −0.380279 + 0.0988852i
\(536\) −26.1452 + 31.5520i −1.12930 + 1.36284i
\(537\) −10.2936 + 5.05052i −0.444201 + 0.217946i
\(538\) 12.7555 + 7.72975i 0.549930 + 0.333253i
\(539\) 19.6918 14.3069i 0.848185 0.616242i
\(540\) −17.4174 15.3829i −0.749526 0.661975i
\(541\) 26.1598 + 19.0062i 1.12470 + 0.817140i 0.984914 0.173042i \(-0.0553597\pi\)
0.139782 + 0.990182i \(0.455360\pi\)
\(542\) 7.52072 + 17.9046i 0.323043 + 0.769070i
\(543\) −8.27538 + 15.6524i −0.355130 + 0.671710i
\(544\) −7.51264 8.36636i −0.322102 0.358705i
\(545\) 15.0819 + 5.91781i 0.646037 + 0.253491i
\(546\) −22.5012 19.6157i −0.962962 0.839476i
\(547\) −6.72237 2.18423i −0.287428 0.0933910i 0.161755 0.986831i \(-0.448285\pi\)
−0.449182 + 0.893440i \(0.648285\pi\)
\(548\) −6.96693 6.82991i −0.297612 0.291759i
\(549\) 15.9910 + 23.4688i 0.682481 + 1.00162i
\(550\) 23.9785 6.84700i 1.02245 0.291957i
\(551\) 9.10920 0.388065
\(552\) 5.60638 2.32090i 0.238624 0.0987839i
\(553\) 11.6311 35.7968i 0.494605 1.52224i
\(554\) 4.77103 + 1.12040i 0.202702 + 0.0476011i
\(555\) −5.48561 13.1068i −0.232851 0.556354i
\(556\) 31.0585 16.2156i 1.31718 0.687696i
\(557\) 15.5161i 0.657438i −0.944428 0.328719i \(-0.893383\pi\)
0.944428 0.328719i \(-0.106617\pi\)
\(558\) 22.4460 34.6353i 0.950216 1.46623i
\(559\) −9.76560 + 13.4412i −0.413041 + 0.568502i
\(560\) 1.33019 33.3224i 0.0562107 1.40813i
\(561\) 12.0195 1.71807i 0.507464 0.0725370i
\(562\) −14.7793 8.95614i −0.623428 0.377792i
\(563\) 15.7275 + 11.4267i 0.662834 + 0.481577i 0.867619 0.497230i \(-0.165650\pi\)
−0.204785 + 0.978807i \(0.565650\pi\)
\(564\) −2.12497 6.65690i −0.0894774 0.280306i
\(565\) 10.4147 26.5424i 0.438148 1.11665i
\(566\) −22.9166 13.8873i −0.963258 0.583726i
\(567\) 2.02577 33.4955i 0.0850742 1.40668i
\(568\) 3.73667 + 14.6026i 0.156787 + 0.612709i
\(569\) −21.9307 + 7.12572i −0.919383 + 0.298726i −0.730214 0.683219i \(-0.760580\pi\)
−0.189170 + 0.981944i \(0.560580\pi\)
\(570\) −8.03854 15.4450i −0.336697 0.646919i
\(571\) 6.39705 + 2.07853i 0.267708 + 0.0869837i 0.439795 0.898098i \(-0.355051\pi\)
−0.172087 + 0.985082i \(0.555051\pi\)
\(572\) −3.38004 + 22.8042i −0.141326 + 0.953492i
\(573\) 2.03658 + 14.2478i 0.0850795 + 0.595211i
\(574\) −5.37904 64.2657i −0.224517 2.68240i
\(575\) 2.60234 5.61961i 0.108525 0.234354i
\(576\) 21.3797 + 10.9045i 0.890821 + 0.454355i
\(577\) −13.2129 + 9.59973i −0.550060 + 0.399642i −0.827808 0.561012i \(-0.810412\pi\)
0.277748 + 0.960654i \(0.410412\pi\)
\(578\) 17.9652 + 4.21882i 0.747254 + 0.175480i
\(579\) −27.2037 28.0380i −1.13055 1.16522i
\(580\) −2.63264 + 12.5416i −0.109314 + 0.520761i
\(581\) 53.3973 17.3498i 2.21529 0.719792i
\(582\) −5.49861 2.34317i −0.227925 0.0971275i
\(583\) −14.1739 + 4.60538i −0.587023 + 0.190735i
\(584\) −7.25798 + 18.2882i −0.300337 + 0.756771i
\(585\) 8.62141 20.1595i 0.356451 0.833492i
\(586\) −3.87444 + 3.34250i −0.160052 + 0.138077i
\(587\) −7.11997 5.17296i −0.293872 0.213511i 0.431073 0.902317i \(-0.358135\pi\)
−0.724946 + 0.688806i \(0.758135\pi\)
\(588\) 19.4151 13.9531i 0.800665 0.575416i
\(589\) 25.0186 18.1771i 1.03087 0.748973i
\(590\) −3.27364 9.31650i −0.134774 0.383554i
\(591\) 11.5073 + 23.4532i 0.473345 + 0.964736i
\(592\) 8.85952 + 11.6982i 0.364124 + 0.480795i
\(593\) 23.8066i 0.977622i 0.872390 + 0.488811i \(0.162569\pi\)
−0.872390 + 0.488811i \(0.837431\pi\)
\(594\) −22.6245 + 12.6386i −0.928293 + 0.518567i
\(595\) −8.92281 13.9651i −0.365800 0.572513i
\(596\) 1.92934 + 0.285966i 0.0790287 + 0.0117136i
\(597\) −3.01952 + 2.92967i −0.123581 + 0.119903i
\(598\) 3.73975 + 4.33491i 0.152930 + 0.177268i
\(599\) 16.6142 0.678837 0.339419 0.940635i \(-0.389770\pi\)
0.339419 + 0.940635i \(0.389770\pi\)
\(600\) 23.5879 6.60376i 0.962973 0.269597i
\(601\) 1.87047 0.0762980 0.0381490 0.999272i \(-0.487854\pi\)
0.0381490 + 0.999272i \(0.487854\pi\)
\(602\) −17.5083 20.2946i −0.713584 0.827147i
\(603\) −12.1763 41.7220i −0.495856 1.69905i
\(604\) −35.2105 5.21889i −1.43269 0.212354i
\(605\) 0.191912 3.20756i 0.00780234 0.130406i
\(606\) 26.5061 + 2.35662i 1.07674 + 0.0957313i
\(607\) 3.55849i 0.144434i 0.997389 + 0.0722172i \(0.0230075\pi\)
−0.997389 + 0.0722172i \(0.976993\pi\)
\(608\) 12.0147 + 13.3800i 0.487260 + 0.542630i
\(609\) −16.6134 + 8.15134i −0.673210 + 0.330309i
\(610\) −29.9266 + 0.710757i −1.21169 + 0.0287777i
\(611\) 5.33403 3.87540i 0.215792 0.156782i
\(612\) 11.8150 1.62655i 0.477594 0.0657495i
\(613\) −13.2664 9.63859i −0.535824 0.389299i 0.286708 0.958018i \(-0.407439\pi\)
−0.822532 + 0.568719i \(0.807439\pi\)
\(614\) −10.6368 + 9.17639i −0.429265 + 0.370329i
\(615\) 43.6957 18.2880i 1.76198 0.737442i
\(616\) −34.5684 13.7190i −1.39280 0.552756i
\(617\) −20.4200 + 6.63486i −0.822078 + 0.267109i −0.689705 0.724090i \(-0.742260\pi\)
−0.132373 + 0.991200i \(0.542260\pi\)
\(618\) 11.9280 27.9910i 0.479816 1.12596i
\(619\) 5.10918 1.66007i 0.205355 0.0667240i −0.204533 0.978860i \(-0.565568\pi\)
0.409889 + 0.912136i \(0.365568\pi\)
\(620\) 17.7957 + 39.6990i 0.714692 + 1.59435i
\(621\) −1.29364 + 6.30451i −0.0519120 + 0.252991i
\(622\) −26.3945 6.19831i −1.05832 0.248530i
\(623\) −9.58238 + 6.96200i −0.383910 + 0.278927i
\(624\) −3.43588 + 22.3825i −0.137545 + 0.896017i
\(625\) 13.1353 21.2712i 0.525412 0.850848i
\(626\) −1.39740 16.6953i −0.0558514 0.667280i
\(627\) −19.2223 + 2.74764i −0.767667 + 0.109730i
\(628\) 1.41117 9.52083i 0.0563120 0.379922i
\(629\) 6.93535 + 2.25343i 0.276531 + 0.0898502i
\(630\) 28.4816 + 20.9754i 1.13474 + 0.835681i
\(631\) −27.3070 + 8.87259i −1.08708 + 0.353212i −0.797116 0.603827i \(-0.793642\pi\)
−0.289960 + 0.957039i \(0.593642\pi\)
\(632\) −27.6614 + 7.07832i −1.10031 + 0.281560i
\(633\) 6.37542 36.6608i 0.253400 1.45714i
\(634\) 22.5067 + 13.6389i 0.893856 + 0.541669i
\(635\) −4.38139 3.60199i −0.173870 0.142940i
\(636\) −13.9459 + 4.45170i −0.552989 + 0.176521i
\(637\) 18.2504 + 13.2597i 0.723107 + 0.525368i
\(638\) 12.2223 + 7.40663i 0.483887 + 0.293231i
\(639\) −15.0488 5.39728i −0.595321 0.213513i
\(640\) −21.8940 + 12.6749i −0.865435 + 0.501021i
\(641\) −21.2586 + 29.2599i −0.839664 + 1.15570i 0.146383 + 0.989228i \(0.453237\pi\)
−0.986047 + 0.166470i \(0.946763\pi\)
\(642\) −0.881682 + 9.91671i −0.0347972 + 0.391381i
\(643\) 28.9777i 1.14277i −0.820683 0.571384i \(-0.806407\pi\)
0.820683 0.571384i \(-0.193593\pi\)
\(644\) −8.18745 + 4.27466i −0.322631 + 0.168445i
\(645\) 10.2246 16.8237i 0.402594 0.662432i
\(646\) 8.69957 + 2.04295i 0.342280 + 0.0803787i
\(647\) 1.21180 3.72955i 0.0476409 0.146624i −0.924406 0.381409i \(-0.875439\pi\)
0.972047 + 0.234786i \(0.0754388\pi\)
\(648\) −22.2873 + 12.2995i −0.875527 + 0.483169i
\(649\) −11.0126 −0.432284
\(650\) 12.9026 + 19.1747i 0.506083 + 0.752094i
\(651\) −29.3634 + 55.5393i −1.15084 + 2.17676i
\(652\) −14.5786 14.2919i −0.570943 0.559714i
\(653\) 38.0650 + 12.3681i 1.48960 + 0.484001i 0.936965 0.349423i \(-0.113622\pi\)
0.552635 + 0.833423i \(0.313622\pi\)
\(654\) 11.6624 13.3779i 0.456036 0.523118i
\(655\) −17.1357 26.8191i −0.669547 1.04791i
\(656\) −38.9997 + 29.5359i −1.52268 + 1.15318i
\(657\) −11.7512 17.2464i −0.458459 0.672845i
\(658\) 4.11921 + 9.80663i 0.160583 + 0.382302i
\(659\) 26.7703 + 19.4498i 1.04282 + 0.757656i 0.970835 0.239750i \(-0.0770654\pi\)
0.0719890 + 0.997405i \(0.477065\pi\)
\(660\) 1.77245 27.2595i 0.0689925 1.06107i
\(661\) −5.86281 + 4.25958i −0.228037 + 0.165678i −0.695937 0.718103i \(-0.745011\pi\)
0.467900 + 0.883781i \(0.345011\pi\)
\(662\) −16.4994 9.99850i −0.641268 0.388603i
\(663\) 4.95674 + 10.1025i 0.192504 + 0.392347i
\(664\) −32.7951 27.1753i −1.27270 1.05461i
\(665\) 14.2699 + 22.3338i 0.553363 + 0.866069i
\(666\) −15.5425 + 0.829246i −0.602260 + 0.0321326i
\(667\) 3.37546 1.09675i 0.130698 0.0424664i
\(668\) 6.16372 1.03909i 0.238481 0.0402035i
\(669\) −3.83181 + 22.0342i −0.148146 + 0.851892i
\(670\) 43.8950 + 13.1186i 1.69581 + 0.506817i
\(671\) −10.3162 + 31.7501i −0.398254 + 1.22570i
\(672\) −33.8855 13.6512i −1.30716 0.526607i
\(673\) −27.0338 + 19.6412i −1.04208 + 0.757114i −0.970690 0.240334i \(-0.922743\pi\)
−0.0713881 + 0.997449i \(0.522743\pi\)
\(674\) −1.30992 15.6502i −0.0504562 0.602822i
\(675\) −8.21960 + 24.6463i −0.316373 + 0.948635i
\(676\) 4.56961 0.770350i 0.175754 0.0296288i
\(677\) 17.3447 + 23.8729i 0.666611 + 0.917511i 0.999678 0.0253923i \(-0.00808348\pi\)
−0.333067 + 0.942903i \(0.608083\pi\)
\(678\) −23.5436 20.5244i −0.904186 0.788237i
\(679\) 8.65277 + 2.81145i 0.332063 + 0.107894i
\(680\) −5.32699 + 11.3872i −0.204281 + 0.436678i
\(681\) −34.3049 5.96572i −1.31457 0.228607i
\(682\) 48.3485 4.04677i 1.85136 0.154959i
\(683\) −10.6640 32.8204i −0.408047 1.25584i −0.918324 0.395829i \(-0.870457\pi\)
0.510278 0.860010i \(-0.329543\pi\)
\(684\) −18.8953 + 2.60128i −0.722480 + 0.0994625i
\(685\) −3.98429 + 10.1542i −0.152232 + 0.387972i
\(686\) 0.391647 0.337876i 0.0149531 0.0129001i
\(687\) 33.3243 16.3505i 1.27140 0.623810i
\(688\) −5.89784 + 19.4585i −0.224853 + 0.741848i
\(689\) −8.11875 11.1745i −0.309300 0.425715i
\(690\) −4.83830 4.75537i −0.184191 0.181034i
\(691\) −10.0608 + 13.8475i −0.382732 + 0.526785i −0.956306 0.292369i \(-0.905557\pi\)
0.573574 + 0.819154i \(0.305557\pi\)
\(692\) 14.5833 7.61392i 0.554374 0.289438i
\(693\) 32.5991 22.2122i 1.23834 0.843772i
\(694\) −40.7055 + 17.0980i −1.54516 + 0.649033i
\(695\) −30.2594 24.8766i −1.14780 0.943622i
\(696\) 11.9679 + 7.33731i 0.453642 + 0.278120i
\(697\) −7.51251 + 23.1211i −0.284557 + 0.875775i
\(698\) 27.7109 + 32.1210i 1.04887 + 1.21580i
\(699\) 20.3320 + 10.7494i 0.769026 + 0.406581i
\(700\) −34.8734 + 13.1922i −1.31809 + 0.498618i
\(701\) 14.9700i 0.565410i −0.959207 0.282705i \(-0.908768\pi\)
0.959207 0.282705i \(-0.0912318\pi\)
\(702\) −17.6198 16.3225i −0.665015 0.616053i
\(703\) −11.0914 3.60383i −0.418322 0.135921i
\(704\) 5.24161 + 27.7218i 0.197551 + 1.04480i
\(705\) −5.92207 + 5.09572i −0.223038 + 0.191916i
\(706\) 6.69975 + 15.9501i 0.252148 + 0.600292i
\(707\) −40.5058 −1.52338
\(708\) −10.8173 0.0559268i −0.406538 0.00210186i
\(709\) −4.40902 3.20334i −0.165584 0.120304i 0.501907 0.864922i \(-0.332632\pi\)
−0.667491 + 0.744618i \(0.732632\pi\)
\(710\) 13.3947 10.2264i 0.502693 0.383790i
\(711\) 10.2240 28.5067i 0.383429 1.06908i
\(712\) 8.35146 + 3.31442i 0.312984 + 0.124213i
\(713\) 7.08222 9.74785i 0.265231 0.365060i
\(714\) −17.6945 + 4.05884i −0.662199 + 0.151898i
\(715\) 24.9449 6.48650i 0.932885 0.242581i
\(716\) −11.8557 5.89321i −0.443068 0.220240i
\(717\) −31.1311 5.41379i −1.16261 0.202182i
\(718\) 2.64322 + 31.5797i 0.0986442 + 1.17854i
\(719\) −5.38345 16.5685i −0.200769 0.617902i −0.999861 0.0166936i \(-0.994686\pi\)
0.799092 0.601209i \(-0.205314\pi\)
\(720\) 1.87944 26.7669i 0.0700427 0.997544i
\(721\) −14.3119 + 44.0474i −0.533002 + 1.64041i
\(722\) 12.2456 + 2.87567i 0.455733 + 0.107021i
\(723\) 0.682573 + 4.77524i 0.0253852 + 0.177593i
\(724\) −20.1599 + 3.39859i −0.749238 + 0.126307i
\(725\) 14.0570 2.77113i 0.522063 0.102917i
\(726\) −3.23823 1.37993i −0.120182 0.0512142i
\(727\) 3.34911 + 4.60965i 0.124212 + 0.170962i 0.866594 0.499014i \(-0.166304\pi\)
−0.742383 + 0.669976i \(0.766304\pi\)
\(728\) 2.19223 34.3992i 0.0812493 1.27492i
\(729\) 2.44306 26.8892i 0.0904837 0.995898i
\(730\) 21.9920 0.522310i 0.813960 0.0193315i
\(731\) 3.12232 + 9.60950i 0.115483 + 0.355420i
\(732\) −10.2945 + 31.1345i −0.380494 + 1.15076i
\(733\) 3.44514 + 10.6030i 0.127249 + 0.391632i 0.994304 0.106580i \(-0.0339900\pi\)
−0.867055 + 0.498212i \(0.833990\pi\)
\(734\) −4.65582 2.82139i −0.171849 0.104139i
\(735\) −22.8431 13.8830i −0.842581 0.512080i
\(736\) 6.06305 + 3.51144i 0.223487 + 0.129433i
\(737\) 30.0310 41.3342i 1.10621 1.52256i
\(738\) −2.76455 51.8158i −0.101764 1.90736i
\(739\) 4.31876 + 5.94426i 0.158868 + 0.218663i 0.881029 0.473061i \(-0.156851\pi\)
−0.722161 + 0.691725i \(0.756851\pi\)
\(740\) 8.16728 14.2292i 0.300235 0.523076i
\(741\) −7.92713 16.1565i −0.291210 0.593523i
\(742\) 20.5444 8.62952i 0.754208 0.316800i
\(743\) −49.9238 −1.83153 −0.915763 0.401720i \(-0.868413\pi\)
−0.915763 + 0.401720i \(0.868413\pi\)
\(744\) 47.5114 3.72945i 1.74185 0.136728i
\(745\) −0.548786 2.11044i −0.0201060 0.0773207i
\(746\) 4.96953 + 1.16701i 0.181948 + 0.0427273i
\(747\) 43.3658 12.6560i 1.58667 0.463060i
\(748\) 10.0116 + 9.81470i 0.366061 + 0.358861i
\(749\) 15.1544i 0.553730i
\(750\) −17.1033 21.3887i −0.624525 0.781005i
\(751\) 15.6934i 0.572659i −0.958131 0.286329i \(-0.907565\pi\)
0.958131 0.286329i \(-0.0924352\pi\)
\(752\) 4.61217 6.62075i 0.168188 0.241434i
\(753\) −13.3895 13.8002i −0.487942 0.502906i
\(754\) −3.02806 + 12.8945i −0.110276 + 0.469591i
\(755\) 10.0154 + 38.5157i 0.364497 + 1.40173i
\(756\) 32.1336 21.6526i 1.16869 0.787498i
\(757\) 29.7944 1.08290 0.541448 0.840734i \(-0.317876\pi\)
0.541448 + 0.840734i \(0.317876\pi\)
\(758\) −10.6209 25.2852i −0.385768 0.918401i
\(759\) −6.79211 + 3.33253i −0.246538 + 0.120963i
\(760\) 8.51925 18.2111i 0.309026 0.660585i
\(761\) −13.6667 18.8106i −0.495418 0.681884i 0.485958 0.873982i \(-0.338471\pi\)
−0.981376 + 0.192098i \(0.938471\pi\)
\(762\) −5.33034 + 3.19258i −0.193098 + 0.115655i
\(763\) −15.8790 + 21.8555i −0.574857 + 0.791223i
\(764\) −11.6342 + 11.8677i −0.420912 + 0.429357i
\(765\) −6.83677 11.4481i −0.247184 0.413907i
\(766\) 4.76453 7.86238i 0.172149 0.284079i
\(767\) −3.15400 9.70701i −0.113884 0.350500i
\(768\) 5.00784 + 27.2566i 0.180705 + 0.983537i
\(769\) 4.88353 + 15.0299i 0.176104 + 0.541994i 0.999682 0.0252096i \(-0.00802532\pi\)
−0.823578 + 0.567203i \(0.808025\pi\)
\(770\) 0.987271 + 41.5693i 0.0355788 + 1.49805i
\(771\) −25.4389 + 24.6820i −0.916161 + 0.888900i
\(772\) 6.61390 44.6222i 0.238039 1.60599i
\(773\) −32.3212 44.4864i −1.16251 1.60006i −0.701499 0.712671i \(-0.747485\pi\)
−0.461015 0.887392i \(-0.652515\pi\)
\(774\) −13.5878 16.7472i −0.488402 0.601965i