Properties

Label 300.2.r.a.59.7
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 59.7
Character \(\chi\) \(=\) 300.59
Dual form 300.2.r.a.239.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.30486 - 0.545281i) q^{2} +(0.0653839 + 1.73082i) q^{3} +(1.40534 + 1.42303i) q^{4} +(2.14307 + 0.638169i) q^{5} +(0.858463 - 2.29413i) q^{6} +4.06778 q^{7} +(-1.05782 - 2.62317i) q^{8} +(-2.99145 + 0.226335i) q^{9} +O(q^{10})\) \(q+(-1.30486 - 0.545281i) q^{2} +(0.0653839 + 1.73082i) q^{3} +(1.40534 + 1.42303i) q^{4} +(2.14307 + 0.638169i) q^{5} +(0.858463 - 2.29413i) q^{6} +4.06778 q^{7} +(-1.05782 - 2.62317i) q^{8} +(-2.99145 + 0.226335i) q^{9} +(-2.44843 - 2.00130i) q^{10} +(2.61080 + 1.89685i) q^{11} +(-2.37112 + 2.52543i) q^{12} +(-3.55251 - 4.88961i) q^{13} +(-5.30790 - 2.21808i) q^{14} +(-0.964431 + 3.75098i) q^{15} +(-0.0500482 + 3.99969i) q^{16} +(0.528103 - 1.62533i) q^{17} +(4.02685 + 1.33584i) q^{18} +(2.49211 + 0.809734i) q^{19} +(2.10360 + 3.94650i) q^{20} +(0.265967 + 7.04058i) q^{21} +(-2.37242 - 3.89875i) q^{22} +(-2.71745 + 3.74024i) q^{23} +(4.47106 - 2.00241i) q^{24} +(4.18548 + 2.73528i) q^{25} +(1.96933 + 8.31739i) q^{26} +(-0.587337 - 5.16285i) q^{27} +(5.71660 + 5.78858i) q^{28} +(-2.01761 + 0.655560i) q^{29} +(3.30379 - 4.36864i) q^{30} +(-1.77466 - 0.576623i) q^{31} +(2.24626 - 5.19176i) q^{32} +(-3.11240 + 4.64283i) q^{33} +(-1.57536 + 1.83287i) q^{34} +(8.71752 + 2.59593i) q^{35} +(-4.52608 - 3.93886i) q^{36} +(-1.36655 - 1.88089i) q^{37} +(-2.81033 - 2.41549i) q^{38} +(8.23074 - 6.46845i) q^{39} +(-0.592960 - 6.29670i) q^{40} +(4.31762 + 5.94269i) q^{41} +(3.49204 - 9.33202i) q^{42} -5.20326 q^{43} +(0.969765 + 6.38097i) q^{44} +(-6.55532 - 1.42400i) q^{45} +(5.58538 - 3.39874i) q^{46} +(-3.27488 + 1.06407i) q^{47} +(-6.92600 + 0.174891i) q^{48} +9.54682 q^{49} +(-3.96999 - 5.85143i) q^{50} +(2.84768 + 0.807778i) q^{51} +(1.96560 - 11.9269i) q^{52} +(-2.20348 - 6.78162i) q^{53} +(-2.04881 + 7.05708i) q^{54} +(4.38460 + 5.73122i) q^{55} +(-4.30299 - 10.6705i) q^{56} +(-1.23856 + 4.36632i) q^{57} +(2.99017 + 0.244745i) q^{58} +(-9.81893 + 7.13387i) q^{59} +(-6.69313 + 3.89898i) q^{60} +(-4.99307 - 3.62768i) q^{61} +(2.00127 + 1.72010i) q^{62} +(-12.1686 + 0.920681i) q^{63} +(-5.76202 + 5.54969i) q^{64} +(-4.49287 - 12.7459i) q^{65} +(6.59291 - 4.36113i) q^{66} +(0.983181 - 3.02592i) q^{67} +(3.05507 - 1.53263i) q^{68} +(-6.65135 - 4.45885i) q^{69} +(-9.95967 - 8.14083i) q^{70} +(-1.67431 - 5.15300i) q^{71} +(3.75814 + 7.60765i) q^{72} +(-1.58017 + 2.17491i) q^{73} +(0.757544 + 3.19946i) q^{74} +(-4.46060 + 7.42314i) q^{75} +(2.34997 + 4.68430i) q^{76} +(10.6201 + 7.71598i) q^{77} +(-14.2671 + 3.95238i) q^{78} +(2.42335 - 0.787395i) q^{79} +(-2.65973 + 8.53966i) q^{80} +(8.89754 - 1.35414i) q^{81} +(-2.39347 - 10.1087i) q^{82} +(5.77909 + 1.87774i) q^{83} +(-9.64520 + 10.2729i) q^{84} +(2.16900 - 3.14618i) q^{85} +(6.78954 + 2.83723i) q^{86} +(-1.26657 - 3.44924i) q^{87} +(2.21401 - 8.85509i) q^{88} +(4.38993 - 6.04222i) q^{89} +(7.77732 + 5.43261i) q^{90} +(-14.4508 - 19.8899i) q^{91} +(-9.14143 + 1.38929i) q^{92} +(0.881994 - 3.10932i) q^{93} +(4.85349 + 0.397258i) q^{94} +(4.82401 + 3.32570i) q^{95} +(9.13284 + 3.54840i) q^{96} +(-14.9322 + 4.85176i) q^{97} +(-12.4573 - 5.20569i) q^{98} +(-8.23939 - 5.08343i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.30486 0.545281i −0.922678 0.385572i
\(3\) 0.0653839 + 1.73082i 0.0377494 + 0.999287i
\(4\) 1.40534 + 1.42303i 0.702669 + 0.711517i
\(5\) 2.14307 + 0.638169i 0.958409 + 0.285398i
\(6\) 0.858463 2.29413i 0.350466 0.936575i
\(7\) 4.06778 1.53748 0.768738 0.639564i \(-0.220885\pi\)
0.768738 + 0.639564i \(0.220885\pi\)
\(8\) −1.05782 2.62317i −0.373997 0.927430i
\(9\) −2.99145 + 0.226335i −0.997150 + 0.0754451i
\(10\) −2.44843 2.00130i −0.774262 0.632866i
\(11\) 2.61080 + 1.89685i 0.787185 + 0.571923i 0.907127 0.420858i \(-0.138271\pi\)
−0.119942 + 0.992781i \(0.538271\pi\)
\(12\) −2.37112 + 2.52543i −0.684484 + 0.729028i
\(13\) −3.55251 4.88961i −0.985289 1.35613i −0.933931 0.357454i \(-0.883645\pi\)
−0.0513583 0.998680i \(-0.516355\pi\)
\(14\) −5.30790 2.21808i −1.41859 0.592807i
\(15\) −0.964431 + 3.75098i −0.249015 + 0.968500i
\(16\) −0.0500482 + 3.99969i −0.0125121 + 0.999922i
\(17\) 0.528103 1.62533i 0.128084 0.394201i −0.866367 0.499409i \(-0.833551\pi\)
0.994450 + 0.105207i \(0.0335507\pi\)
\(18\) 4.02685 + 1.33584i 0.949138 + 0.314861i
\(19\) 2.49211 + 0.809734i 0.571728 + 0.185766i 0.580592 0.814195i \(-0.302821\pi\)
−0.00886323 + 0.999961i \(0.502821\pi\)
\(20\) 2.10360 + 3.94650i 0.470379 + 0.882464i
\(21\) 0.265967 + 7.04058i 0.0580388 + 1.53638i
\(22\) −2.37242 3.89875i −0.505801 0.831217i
\(23\) −2.71745 + 3.74024i −0.566627 + 0.779895i −0.992150 0.125053i \(-0.960090\pi\)
0.425523 + 0.904947i \(0.360090\pi\)
\(24\) 4.47106 2.00241i 0.912651 0.408740i
\(25\) 4.18548 + 2.73528i 0.837096 + 0.547056i
\(26\) 1.96933 + 8.31739i 0.386218 + 1.63117i
\(27\) −0.587337 5.16285i −0.113033 0.993591i
\(28\) 5.71660 + 5.78858i 1.08034 + 1.09394i
\(29\) −2.01761 + 0.655560i −0.374660 + 0.121734i −0.490293 0.871558i \(-0.663110\pi\)
0.115633 + 0.993292i \(0.463110\pi\)
\(30\) 3.30379 4.36864i 0.603187 0.797600i
\(31\) −1.77466 0.576623i −0.318739 0.103565i 0.145278 0.989391i \(-0.453592\pi\)
−0.464017 + 0.885826i \(0.653592\pi\)
\(32\) 2.24626 5.19176i 0.397086 0.917781i
\(33\) −3.11240 + 4.64283i −0.541800 + 0.808213i
\(34\) −1.57536 + 1.83287i −0.270173 + 0.314335i
\(35\) 8.71752 + 2.59593i 1.47353 + 0.438792i
\(36\) −4.52608 3.93886i −0.754347 0.656476i
\(37\) −1.36655 1.88089i −0.224659 0.309216i 0.681777 0.731560i \(-0.261208\pi\)
−0.906436 + 0.422344i \(0.861208\pi\)
\(38\) −2.81033 2.41549i −0.455895 0.391844i
\(39\) 8.23074 6.46845i 1.31797 1.03578i
\(40\) −0.592960 6.29670i −0.0937553 0.995595i
\(41\) 4.31762 + 5.94269i 0.674299 + 0.928093i 0.999848 0.0174325i \(-0.00554920\pi\)
−0.325549 + 0.945525i \(0.605549\pi\)
\(42\) 3.49204 9.33202i 0.538833 1.43996i
\(43\) −5.20326 −0.793489 −0.396745 0.917929i \(-0.629860\pi\)
−0.396745 + 0.917929i \(0.629860\pi\)
\(44\) 0.969765 + 6.38097i 0.146198 + 0.961968i
\(45\) −6.55532 1.42400i −0.977209 0.212277i
\(46\) 5.58538 3.39874i 0.823519 0.501117i
\(47\) −3.27488 + 1.06407i −0.477690 + 0.155211i −0.537959 0.842971i \(-0.680804\pi\)
0.0602685 + 0.998182i \(0.480804\pi\)
\(48\) −6.92600 + 0.174891i −0.999681 + 0.0252433i
\(49\) 9.54682 1.36383
\(50\) −3.96999 5.85143i −0.561441 0.827517i
\(51\) 2.84768 + 0.807778i 0.398755 + 0.113112i
\(52\) 1.96560 11.9269i 0.272580 1.65396i
\(53\) −2.20348 6.78162i −0.302672 0.931528i −0.980536 0.196340i \(-0.937094\pi\)
0.677864 0.735187i \(-0.262906\pi\)
\(54\) −2.04881 + 7.05708i −0.278807 + 0.960347i
\(55\) 4.38460 + 5.73122i 0.591219 + 0.772797i
\(56\) −4.30299 10.6705i −0.575011 1.42590i
\(57\) −1.23856 + 4.36632i −0.164051 + 0.578333i
\(58\) 2.99017 + 0.244745i 0.392628 + 0.0321366i
\(59\) −9.81893 + 7.13387i −1.27832 + 0.928751i −0.999501 0.0315939i \(-0.989942\pi\)
−0.278815 + 0.960345i \(0.589942\pi\)
\(60\) −6.69313 + 3.89898i −0.864079 + 0.503356i
\(61\) −4.99307 3.62768i −0.639297 0.464476i 0.220312 0.975430i \(-0.429293\pi\)
−0.859609 + 0.510953i \(0.829293\pi\)
\(62\) 2.00127 + 1.72010i 0.254162 + 0.218453i
\(63\) −12.1686 + 0.920681i −1.53309 + 0.115995i
\(64\) −5.76202 + 5.54969i −0.720253 + 0.693712i
\(65\) −4.49287 12.7459i −0.557272 1.58093i
\(66\) 6.59291 4.36113i 0.811531 0.536818i
\(67\) 0.983181 3.02592i 0.120115 0.369675i −0.872865 0.487962i \(-0.837740\pi\)
0.992979 + 0.118287i \(0.0377404\pi\)
\(68\) 3.05507 1.53263i 0.370481 0.185859i
\(69\) −6.65135 4.45885i −0.800729 0.536782i
\(70\) −9.95967 8.14083i −1.19041 0.973015i
\(71\) −1.67431 5.15300i −0.198704 0.611548i −0.999913 0.0131640i \(-0.995810\pi\)
0.801209 0.598384i \(-0.204190\pi\)
\(72\) 3.75814 + 7.60765i 0.442901 + 0.896571i
\(73\) −1.58017 + 2.17491i −0.184944 + 0.254554i −0.891415 0.453189i \(-0.850286\pi\)
0.706470 + 0.707743i \(0.250286\pi\)
\(74\) 0.757544 + 3.19946i 0.0880627 + 0.371929i
\(75\) −4.46060 + 7.42314i −0.515066 + 0.857150i
\(76\) 2.34997 + 4.68430i 0.269560 + 0.537326i
\(77\) 10.6201 + 7.71598i 1.21028 + 0.879318i
\(78\) −14.2671 + 3.95238i −1.61543 + 0.447518i
\(79\) 2.42335 0.787395i 0.272648 0.0885888i −0.169502 0.985530i \(-0.554216\pi\)
0.442150 + 0.896941i \(0.354216\pi\)
\(80\) −2.65973 + 8.53966i −0.297367 + 0.954763i
\(81\) 8.89754 1.35414i 0.988616 0.150460i
\(82\) −2.39347 10.1087i −0.264314 1.11632i
\(83\) 5.77909 + 1.87774i 0.634337 + 0.206109i 0.608495 0.793557i \(-0.291773\pi\)
0.0258418 + 0.999666i \(0.491773\pi\)
\(84\) −9.64520 + 10.2729i −1.05238 + 1.12086i
\(85\) 2.16900 3.14618i 0.235261 0.341251i
\(86\) 6.78954 + 2.83723i 0.732135 + 0.305947i
\(87\) −1.26657 3.44924i −0.135791 0.369798i
\(88\) 2.21401 8.85509i 0.236014 0.943956i
\(89\) 4.38993 6.04222i 0.465331 0.640474i −0.510272 0.860013i \(-0.670455\pi\)
0.975604 + 0.219539i \(0.0704554\pi\)
\(90\) 7.77732 + 5.43261i 0.819802 + 0.572648i
\(91\) −14.4508 19.8899i −1.51486 2.08502i
\(92\) −9.14143 + 1.38929i −0.953060 + 0.144844i
\(93\) 0.881994 3.10932i 0.0914585 0.322421i
\(94\) 4.85349 + 0.397258i 0.500599 + 0.0409740i
\(95\) 4.82401 + 3.32570i 0.494933 + 0.341210i
\(96\) 9.13284 + 3.54840i 0.932117 + 0.362157i
\(97\) −14.9322 + 4.85176i −1.51613 + 0.492622i −0.944675 0.328008i \(-0.893623\pi\)
−0.571460 + 0.820630i \(0.693623\pi\)
\(98\) −12.4573 5.20569i −1.25838 0.525854i
\(99\) −8.23939 5.08343i −0.828090 0.510904i
\(100\) 1.98962 + 9.80007i 0.198962 + 0.980007i
\(101\) 15.8548i 1.57762i −0.614640 0.788808i \(-0.710699\pi\)
0.614640 0.788808i \(-0.289301\pi\)
\(102\) −3.27537 2.60683i −0.324310 0.258114i
\(103\) 1.20914 + 3.72134i 0.119140 + 0.366674i 0.992788 0.119884i \(-0.0382522\pi\)
−0.873648 + 0.486558i \(0.838252\pi\)
\(104\) −9.06835 + 14.4912i −0.889225 + 1.42098i
\(105\) −3.92309 + 15.2582i −0.382855 + 1.48904i
\(106\) −0.822642 + 10.0506i −0.0799021 + 0.976201i
\(107\) 20.0414i 1.93748i −0.248083 0.968739i \(-0.579801\pi\)
0.248083 0.968739i \(-0.420199\pi\)
\(108\) 6.52150 8.09135i 0.627532 0.778591i
\(109\) 3.65735 2.65722i 0.350311 0.254516i −0.398688 0.917086i \(-0.630535\pi\)
0.749000 + 0.662571i \(0.230535\pi\)
\(110\) −2.59618 9.86929i −0.247536 0.941000i
\(111\) 3.16613 2.48822i 0.300515 0.236172i
\(112\) −0.203585 + 16.2698i −0.0192370 + 1.53736i
\(113\) 5.67028 4.11970i 0.533415 0.387549i −0.288218 0.957565i \(-0.593063\pi\)
0.821634 + 0.570016i \(0.193063\pi\)
\(114\) 3.99702 5.02209i 0.374355 0.470362i
\(115\) −8.21058 + 6.28141i −0.765641 + 0.585744i
\(116\) −3.76830 1.94984i −0.349878 0.181038i
\(117\) 11.7338 + 13.8230i 1.08479 + 1.27793i
\(118\) 16.7023 3.95466i 1.53757 0.364056i
\(119\) 2.14820 6.61149i 0.196926 0.606074i
\(120\) 10.8597 1.43801i 0.991346 0.131272i
\(121\) −0.180988 0.557023i −0.0164534 0.0506385i
\(122\) 4.53717 + 7.45625i 0.410776 + 0.675057i
\(123\) −10.0034 + 7.86156i −0.901977 + 0.708853i
\(124\) −1.67345 3.33575i −0.150280 0.299560i
\(125\) 7.22420 + 8.53294i 0.646152 + 0.763209i
\(126\) 16.3803 + 5.43391i 1.45928 + 0.484091i
\(127\) 17.1586 + 12.4665i 1.52258 + 1.10622i 0.960189 + 0.279350i \(0.0901190\pi\)
0.562393 + 0.826870i \(0.309881\pi\)
\(128\) 10.5448 4.09967i 0.932037 0.362363i
\(129\) −0.340209 9.00588i −0.0299538 0.792923i
\(130\) −1.08749 + 19.0815i −0.0953792 + 1.67356i
\(131\) 0.0295118 0.0908279i 0.00257845 0.00793567i −0.949759 0.312982i \(-0.898672\pi\)
0.952337 + 0.305046i \(0.0986720\pi\)
\(132\) −10.9809 + 2.09570i −0.955763 + 0.182407i
\(133\) 10.1373 + 3.29382i 0.879018 + 0.285610i
\(134\) −2.93289 + 3.41230i −0.253363 + 0.294778i
\(135\) 2.03607 11.4392i 0.175237 0.984526i
\(136\) −4.82216 + 0.334012i −0.413497 + 0.0286413i
\(137\) 11.7801 8.55876i 1.00644 0.731224i 0.0429837 0.999076i \(-0.486314\pi\)
0.963460 + 0.267851i \(0.0863137\pi\)
\(138\) 6.24779 + 9.44504i 0.531847 + 0.804016i
\(139\) −0.880689 + 1.21216i −0.0746991 + 0.102814i −0.844732 0.535190i \(-0.820240\pi\)
0.770033 + 0.638005i \(0.220240\pi\)
\(140\) 8.55698 + 16.0535i 0.723196 + 1.35677i
\(141\) −2.05584 5.59864i −0.173133 0.471490i
\(142\) −0.625082 + 7.63693i −0.0524557 + 0.640877i
\(143\) 19.5044i 1.63104i
\(144\) −0.755553 11.9762i −0.0629628 0.998016i
\(145\) −4.74223 + 0.117335i −0.393820 + 0.00974418i
\(146\) 3.24784 1.97633i 0.268793 0.163562i
\(147\) 0.624209 + 16.5238i 0.0514839 + 1.36286i
\(148\) 0.756109 4.58793i 0.0621518 0.377125i
\(149\) 13.1430i 1.07672i 0.842715 + 0.538359i \(0.180956\pi\)
−0.842715 + 0.538359i \(0.819044\pi\)
\(150\) 9.86817 7.25391i 0.805733 0.592279i
\(151\) 5.69211i 0.463218i −0.972809 0.231609i \(-0.925601\pi\)
0.972809 0.231609i \(-0.0743989\pi\)
\(152\) −0.512137 7.39377i −0.0415398 0.599714i
\(153\) −1.21192 + 4.98163i −0.0979781 + 0.402741i
\(154\) −9.65046 15.8593i −0.777656 1.27798i
\(155\) −3.43524 2.36828i −0.275925 0.190225i
\(156\) 20.7718 + 2.62227i 1.66307 + 0.209949i
\(157\) 6.78163i 0.541233i −0.962687 0.270617i \(-0.912772\pi\)
0.962687 0.270617i \(-0.0872276\pi\)
\(158\) −3.59149 0.293964i −0.285724 0.0233865i
\(159\) 11.5937 4.25723i 0.919438 0.337621i
\(160\) 8.12710 9.69279i 0.642504 0.766283i
\(161\) −11.0540 + 15.2145i −0.871175 + 1.19907i
\(162\) −12.3485 3.08469i −0.970187 0.242356i
\(163\) −12.0385 + 8.74651i −0.942931 + 0.685079i −0.949124 0.314901i \(-0.898029\pi\)
0.00619340 + 0.999981i \(0.498029\pi\)
\(164\) −2.38893 + 14.4956i −0.186544 + 1.13192i
\(165\) −9.63300 + 7.96366i −0.749928 + 0.619970i
\(166\) −6.51703 5.60142i −0.505819 0.434754i
\(167\) 13.2184 + 4.29493i 1.02287 + 0.332352i 0.771969 0.635660i \(-0.219272\pi\)
0.250904 + 0.968012i \(0.419272\pi\)
\(168\) 18.1873 8.14536i 1.40318 0.628428i
\(169\) −7.27075 + 22.3771i −0.559288 + 1.72131i
\(170\) −4.54580 + 2.92262i −0.348647 + 0.224155i
\(171\) −7.63828 1.85823i −0.584114 0.142102i
\(172\) −7.31233 7.40441i −0.557560 0.564581i
\(173\) −10.6950 7.77036i −0.813125 0.590770i 0.101610 0.994824i \(-0.467601\pi\)
−0.914735 + 0.404055i \(0.867601\pi\)
\(174\) −0.228100 + 5.19143i −0.0172922 + 0.393561i
\(175\) 17.0256 + 11.1265i 1.28701 + 0.841085i
\(176\) −7.71749 + 10.3474i −0.581728 + 0.779967i
\(177\) −12.9894 16.5283i −0.976345 1.24234i
\(178\) −9.02296 + 5.49053i −0.676299 + 0.411532i
\(179\) 2.57158 + 7.91451i 0.192209 + 0.591559i 0.999998 + 0.00208652i \(0.000664160\pi\)
−0.807789 + 0.589472i \(0.799336\pi\)
\(180\) −7.18604 11.3296i −0.535616 0.844462i
\(181\) 2.91403 8.96846i 0.216598 0.666621i −0.782438 0.622728i \(-0.786024\pi\)
0.999036 0.0438922i \(-0.0139758\pi\)
\(182\) 8.01081 + 33.8333i 0.593800 + 2.50789i
\(183\) 5.95238 8.87928i 0.440012 0.656375i
\(184\) 12.6859 + 3.17181i 0.935215 + 0.233829i
\(185\) −1.72828 4.90296i −0.127065 0.360473i
\(186\) −2.84633 + 3.57630i −0.208703 + 0.262227i
\(187\) 4.46179 3.24168i 0.326278 0.237055i
\(188\) −6.11652 3.16488i −0.446093 0.230823i
\(189\) −2.38916 21.0013i −0.173786 1.52762i
\(190\) −4.48123 6.97002i −0.325103 0.505659i
\(191\) −2.50622 + 1.82087i −0.181343 + 0.131754i −0.674754 0.738043i \(-0.735750\pi\)
0.493410 + 0.869797i \(0.335750\pi\)
\(192\) −9.98224 9.61014i −0.720406 0.693552i
\(193\) 8.14234i 0.586099i 0.956097 + 0.293049i \(0.0946700\pi\)
−0.956097 + 0.293049i \(0.905330\pi\)
\(194\) 22.1301 + 1.81134i 1.58885 + 0.130047i
\(195\) 21.7670 8.60971i 1.55877 0.616554i
\(196\) 13.4165 + 13.5854i 0.958322 + 0.970389i
\(197\) −1.43924 4.42952i −0.102541 0.315590i 0.886604 0.462529i \(-0.153058\pi\)
−0.989146 + 0.146939i \(0.953058\pi\)
\(198\) 7.97939 + 11.1260i 0.567070 + 0.790688i
\(199\) 14.7455i 1.04528i −0.852553 0.522641i \(-0.824947\pi\)
0.852553 0.522641i \(-0.175053\pi\)
\(200\) 2.74760 13.8727i 0.194285 0.980945i
\(201\) 5.30160 + 1.50386i 0.373946 + 0.106074i
\(202\) −8.64534 + 20.6884i −0.608284 + 1.45563i
\(203\) −8.20717 + 2.66667i −0.576031 + 0.187164i
\(204\) 2.85246 + 5.18755i 0.199712 + 0.363201i
\(205\) 5.46051 + 15.4910i 0.381378 + 1.08194i
\(206\) 0.451415 5.51516i 0.0314516 0.384259i
\(207\) 7.28256 11.8038i 0.506173 0.820421i
\(208\) 19.7347 13.9642i 1.36836 0.968244i
\(209\) 4.97043 + 6.84121i 0.343812 + 0.473217i
\(210\) 13.4391 17.7706i 0.927385 1.22629i
\(211\) −11.4404 + 15.7463i −0.787587 + 1.08402i 0.206817 + 0.978380i \(0.433690\pi\)
−0.994404 + 0.105641i \(0.966310\pi\)
\(212\) 6.55384 12.6661i 0.450119 0.869912i
\(213\) 8.80942 3.23485i 0.603611 0.221648i
\(214\) −10.9282 + 26.1513i −0.747036 + 1.78767i
\(215\) −11.1509 3.32056i −0.760487 0.226460i
\(216\) −12.9217 + 7.00207i −0.879212 + 0.476430i
\(217\) −7.21893 2.34557i −0.490053 0.159228i
\(218\) −6.22128 + 1.47303i −0.421358 + 0.0997662i
\(219\) −3.86769 2.59277i −0.261354 0.175203i
\(220\) −1.99387 + 14.2937i −0.134427 + 0.963683i
\(221\) −9.82333 + 3.19179i −0.660789 + 0.214703i
\(222\) −5.48814 + 1.52036i −0.368340 + 0.102040i
\(223\) −10.2193 7.42479i −0.684338 0.497200i 0.190456 0.981696i \(-0.439003\pi\)
−0.874794 + 0.484495i \(0.839003\pi\)
\(224\) 9.13728 21.1189i 0.610510 1.41107i
\(225\) −13.1397 7.23513i −0.875983 0.482342i
\(226\) −9.64534 + 2.28375i −0.641598 + 0.151913i
\(227\) −13.7837 + 18.9716i −0.914856 + 1.25919i 0.0506254 + 0.998718i \(0.483879\pi\)
−0.965481 + 0.260473i \(0.916121\pi\)
\(228\) −7.95401 + 4.37365i −0.526768 + 0.289652i
\(229\) 2.96567 + 9.12739i 0.195977 + 0.603155i 0.999964 + 0.00850807i \(0.00270824\pi\)
−0.803987 + 0.594647i \(0.797292\pi\)
\(230\) 14.1388 3.71931i 0.932286 0.245244i
\(231\) −12.6606 + 18.8860i −0.833004 + 1.24261i
\(232\) 3.85391 + 4.59905i 0.253022 + 0.301943i
\(233\) −3.17857 + 9.78263i −0.208235 + 0.640881i 0.791330 + 0.611389i \(0.209389\pi\)
−0.999565 + 0.0294921i \(0.990611\pi\)
\(234\) −7.77368 24.4353i −0.508181 1.59739i
\(235\) −7.69734 + 0.190453i −0.502119 + 0.0124238i
\(236\) −23.9507 3.94716i −1.55905 0.256939i
\(237\) 1.52128 + 4.14289i 0.0988180 + 0.269110i
\(238\) −6.40823 + 7.45572i −0.415384 + 0.483283i
\(239\) −23.5392 17.1022i −1.52262 1.10625i −0.960169 0.279421i \(-0.909858\pi\)
−0.562453 0.826829i \(-0.690142\pi\)
\(240\) −14.9545 4.04515i −0.965308 0.261114i
\(241\) 19.3133 14.0319i 1.24408 0.903876i 0.246216 0.969215i \(-0.420813\pi\)
0.997863 + 0.0653387i \(0.0208128\pi\)
\(242\) −0.0675695 + 0.825529i −0.00434353 + 0.0530670i
\(243\) 2.92553 + 15.3115i 0.187673 + 0.982232i
\(244\) −1.85465 12.2034i −0.118732 0.781244i
\(245\) 20.4595 + 6.09249i 1.30711 + 0.389235i
\(246\) 17.3398 4.80360i 1.10555 0.306267i
\(247\) −4.89395 15.0620i −0.311394 0.958374i
\(248\) 0.364699 + 5.26520i 0.0231584 + 0.334341i
\(249\) −2.87216 + 10.1253i −0.182016 + 0.641666i
\(250\) −4.77375 15.0735i −0.301918 0.953334i
\(251\) −15.2271 −0.961129 −0.480564 0.876959i \(-0.659568\pi\)
−0.480564 + 0.876959i \(0.659568\pi\)
\(252\) −18.4111 16.0224i −1.15979 1.00932i
\(253\) −14.1894 + 4.61042i −0.892080 + 0.289854i
\(254\) −15.5919 25.6233i −0.978326 1.60775i
\(255\) 5.58728 + 3.54843i 0.349889 + 0.222211i
\(256\) −15.9950 0.400355i −0.999687 0.0250222i
\(257\) −14.0885 −0.878814 −0.439407 0.898288i \(-0.644811\pi\)
−0.439407 + 0.898288i \(0.644811\pi\)
\(258\) −4.46680 + 11.9370i −0.278091 + 0.743162i
\(259\) −5.55881 7.65104i −0.345408 0.475413i
\(260\) 11.8238 24.3058i 0.733281 1.50738i
\(261\) 5.88719 2.41773i 0.364408 0.149654i
\(262\) −0.0880355 + 0.102426i −0.00543885 + 0.00632789i
\(263\) 15.1053 + 20.7907i 0.931436 + 1.28201i 0.959297 + 0.282399i \(0.0911303\pi\)
−0.0278614 + 0.999612i \(0.508870\pi\)
\(264\) 15.4713 + 3.25306i 0.952193 + 0.200212i
\(265\) −0.394390 15.9397i −0.0242272 0.979166i
\(266\) −11.4318 9.82568i −0.700928 0.602451i
\(267\) 10.7450 + 7.20309i 0.657583 + 0.440822i
\(268\) 5.68769 2.85334i 0.347431 0.174296i
\(269\) 4.54996 + 1.47837i 0.277416 + 0.0901379i 0.444421 0.895818i \(-0.353410\pi\)
−0.167005 + 0.985956i \(0.553410\pi\)
\(270\) −8.89434 + 13.8163i −0.541293 + 0.840834i
\(271\) 28.4163 9.23302i 1.72617 0.560866i 0.733281 0.679925i \(-0.237988\pi\)
0.992887 + 0.119059i \(0.0379878\pi\)
\(272\) 6.47439 + 2.19359i 0.392568 + 0.133006i
\(273\) 33.4808 26.3122i 2.02635 1.59249i
\(274\) −20.0384 + 4.74454i −1.21056 + 0.286628i
\(275\) 5.73901 + 15.0805i 0.346075 + 0.909389i
\(276\) −3.00231 15.7313i −0.180718 0.946912i
\(277\) 3.46129 4.76406i 0.207969 0.286245i −0.692272 0.721637i \(-0.743390\pi\)
0.900241 + 0.435392i \(0.143390\pi\)
\(278\) 1.81015 1.10149i 0.108566 0.0660628i
\(279\) 5.43932 + 1.32327i 0.325644 + 0.0792221i
\(280\) −2.41203 25.6136i −0.144146 1.53070i
\(281\) −16.7821 5.45282i −1.00113 0.325288i −0.237815 0.971310i \(-0.576431\pi\)
−0.763319 + 0.646022i \(0.776431\pi\)
\(282\) −0.370240 + 8.42647i −0.0220475 + 0.501789i
\(283\) −1.15511 + 3.55506i −0.0686641 + 0.211326i −0.979501 0.201441i \(-0.935438\pi\)
0.910837 + 0.412767i \(0.135438\pi\)
\(284\) 4.97991 9.62430i 0.295504 0.571097i
\(285\) −5.44077 + 8.56692i −0.322283 + 0.507460i
\(286\) −10.6354 + 25.4505i −0.628882 + 1.50492i
\(287\) 17.5631 + 24.1736i 1.03672 + 1.42692i
\(288\) −5.54449 + 16.0393i −0.326712 + 0.945124i
\(289\) 11.3905 + 8.27566i 0.670028 + 0.486804i
\(290\) 6.25194 + 2.43274i 0.367126 + 0.142855i
\(291\) −9.37384 25.5277i −0.549504 1.49646i
\(292\) −5.31564 + 0.807858i −0.311074 + 0.0472763i
\(293\) 9.16625 0.535498 0.267749 0.963489i \(-0.413720\pi\)
0.267749 + 0.963489i \(0.413720\pi\)
\(294\) 8.19559 21.9017i 0.477977 1.27733i
\(295\) −25.5953 + 9.02223i −1.49021 + 0.525295i
\(296\) −3.48833 + 5.57433i −0.202755 + 0.324001i
\(297\) 8.25976 14.5932i 0.479280 0.846786i
\(298\) 7.16664 17.1499i 0.415152 0.993465i
\(299\) 27.9421 1.61593
\(300\) −16.8320 + 4.08444i −0.971798 + 0.235815i
\(301\) −21.1657 −1.21997
\(302\) −3.10380 + 7.42743i −0.178604 + 0.427401i
\(303\) 27.4418 1.03665i 1.57649 0.0595541i
\(304\) −3.36341 + 9.92712i −0.192905 + 0.569359i
\(305\) −8.38541 10.9608i −0.480147 0.627612i
\(306\) 4.29778 5.83951i 0.245688 0.333823i
\(307\) −7.15824 −0.408542 −0.204271 0.978914i \(-0.565482\pi\)
−0.204271 + 0.978914i \(0.565482\pi\)
\(308\) 3.94479 + 25.9564i 0.224775 + 1.47900i
\(309\) −6.36189 + 2.33611i −0.361916 + 0.132897i
\(310\) 3.19114 + 4.96345i 0.181245 + 0.281905i
\(311\) 9.07531 + 6.59360i 0.514614 + 0.373889i 0.814571 0.580064i \(-0.196972\pi\)
−0.299957 + 0.953953i \(0.596972\pi\)
\(312\) −25.6745 14.7482i −1.45353 0.834950i
\(313\) 1.45676 + 2.00506i 0.0823408 + 0.113332i 0.848200 0.529675i \(-0.177686\pi\)
−0.765860 + 0.643008i \(0.777686\pi\)
\(314\) −3.69789 + 8.84911i −0.208684 + 0.499384i
\(315\) −26.6656 5.79251i −1.50244 0.326371i
\(316\) 4.52612 + 2.34195i 0.254614 + 0.131745i
\(317\) −4.13848 + 12.7369i −0.232440 + 0.715377i 0.765011 + 0.644018i \(0.222734\pi\)
−0.997451 + 0.0713591i \(0.977266\pi\)
\(318\) −17.4495 0.766694i −0.978522 0.0429940i
\(319\) −6.51106 2.11557i −0.364549 0.118449i
\(320\) −15.8900 + 8.21622i −0.888281 + 0.459301i
\(321\) 34.6880 1.31039i 1.93610 0.0731387i
\(322\) 22.7201 13.8253i 1.26614 0.770455i
\(323\) 2.63218 3.62288i 0.146458 0.201582i
\(324\) 14.4310 + 10.7585i 0.801725 + 0.597693i
\(325\) −1.49451 30.1825i −0.0829003 1.67422i
\(326\) 20.4780 4.84862i 1.13417 0.268540i
\(327\) 4.83830 + 6.15647i 0.267559 + 0.340454i
\(328\) 11.0214 17.6122i 0.608555 0.972469i
\(329\) −13.3215 + 4.32841i −0.734437 + 0.238633i
\(330\) 16.9122 5.13881i 0.930985 0.282882i
\(331\) 23.4234 + 7.61073i 1.28747 + 0.418324i 0.871205 0.490920i \(-0.163339\pi\)
0.416264 + 0.909244i \(0.363339\pi\)
\(332\) 5.44949 + 10.8627i 0.299079 + 0.596168i
\(333\) 4.51367 + 5.31729i 0.247347 + 0.291386i
\(334\) −14.9063 12.8121i −0.815637 0.701044i
\(335\) 4.03807 5.85732i 0.220623 0.320019i
\(336\) −28.1734 + 0.711418i −1.53699 + 0.0388110i
\(337\) 6.30910 + 8.68373i 0.343678 + 0.473033i 0.945511 0.325589i \(-0.105563\pi\)
−0.601833 + 0.798622i \(0.705563\pi\)
\(338\) 21.6891 25.2344i 1.17973 1.37257i
\(339\) 7.50119 + 9.54486i 0.407409 + 0.518405i
\(340\) 7.52529 1.33489i 0.408116 0.0723947i
\(341\) −3.53951 4.87172i −0.191675 0.263818i
\(342\) 8.95366 + 6.58974i 0.484159 + 0.356332i
\(343\) 10.3599 0.559381
\(344\) 5.50412 + 13.6490i 0.296762 + 0.735906i
\(345\) −11.4088 13.8003i −0.614229 0.742984i
\(346\) 9.71847 + 15.9710i 0.522468 + 0.858608i
\(347\) −14.7741 + 4.80040i −0.793116 + 0.257699i −0.677430 0.735587i \(-0.736906\pi\)
−0.115685 + 0.993286i \(0.536906\pi\)
\(348\) 3.12842 6.64973i 0.167701 0.356463i
\(349\) 2.25215 0.120555 0.0602774 0.998182i \(-0.480801\pi\)
0.0602774 + 0.998182i \(0.480801\pi\)
\(350\) −16.1490 23.8023i −0.863202 1.27229i
\(351\) −23.1578 + 21.2129i −1.23607 + 1.13226i
\(352\) 15.7125 9.29379i 0.837480 0.495361i
\(353\) 1.24018 + 3.81687i 0.0660079 + 0.203151i 0.978621 0.205674i \(-0.0659386\pi\)
−0.912613 + 0.408825i \(0.865939\pi\)
\(354\) 7.93685 + 28.6501i 0.421839 + 1.52273i
\(355\) −0.299677 12.1117i −0.0159052 0.642823i
\(356\) 14.7676 2.24435i 0.782682 0.118950i
\(357\) 11.5837 + 3.28586i 0.613076 + 0.173906i
\(358\) 0.960067 11.7296i 0.0507411 0.619928i
\(359\) 1.12195 0.815144i 0.0592142 0.0430216i −0.557784 0.829986i \(-0.688348\pi\)
0.616999 + 0.786964i \(0.288348\pi\)
\(360\) 3.19898 + 18.7020i 0.168601 + 0.985684i
\(361\) −9.81640 7.13203i −0.516653 0.375370i
\(362\) −8.69274 + 10.1137i −0.456880 + 0.531562i
\(363\) 0.952271 0.349677i 0.0499813 0.0183533i
\(364\) 7.99563 48.5160i 0.419085 2.54293i
\(365\) −4.77437 + 3.65257i −0.249902 + 0.191184i
\(366\) −12.6087 + 8.34053i −0.659069 + 0.435967i
\(367\) 2.19066 6.74216i 0.114352 0.351938i −0.877460 0.479650i \(-0.840763\pi\)
0.991811 + 0.127712i \(0.0407635\pi\)
\(368\) −14.8238 11.0561i −0.772744 0.576341i
\(369\) −14.2610 16.8000i −0.742397 0.874575i
\(370\) −0.418326 + 7.34009i −0.0217477 + 0.381593i
\(371\) −8.96328 27.5861i −0.465350 1.43220i
\(372\) 5.66416 3.11454i 0.293673 0.161481i
\(373\) −22.1263 + 30.4542i −1.14566 + 1.57686i −0.391479 + 0.920187i \(0.628037\pi\)
−0.754176 + 0.656672i \(0.771963\pi\)
\(374\) −7.58965 + 1.79702i −0.392451 + 0.0929218i
\(375\) −14.2966 + 13.0617i −0.738273 + 0.674502i
\(376\) 6.25548 + 7.46496i 0.322602 + 0.384976i
\(377\) 10.3730 + 7.53643i 0.534237 + 0.388146i
\(378\) −8.33409 + 28.7066i −0.428659 + 1.47651i
\(379\) 20.7567 6.74427i 1.06620 0.346430i 0.277194 0.960814i \(-0.410595\pi\)
0.789007 + 0.614384i \(0.210595\pi\)
\(380\) 2.04678 + 11.5385i 0.104997 + 0.591910i
\(381\) −20.4553 + 30.5135i −1.04796 + 1.56326i
\(382\) 4.26316 1.00940i 0.218122 0.0516454i
\(383\) 17.3235 + 5.62875i 0.885190 + 0.287616i 0.716111 0.697987i \(-0.245921\pi\)
0.169080 + 0.985602i \(0.445921\pi\)
\(384\) 7.78524 + 17.9830i 0.397289 + 0.917694i
\(385\) 17.8356 + 23.3133i 0.908985 + 1.18816i
\(386\) 4.43986 10.6246i 0.225983 0.540780i
\(387\) 15.5653 1.17768i 0.791228 0.0598648i
\(388\) −27.8890 14.4306i −1.41585 0.732605i
\(389\) 2.05265 2.82523i 0.104074 0.143245i −0.753804 0.657100i \(-0.771783\pi\)
0.857877 + 0.513855i \(0.171783\pi\)
\(390\) −33.0977 0.634622i −1.67597 0.0321353i
\(391\) 4.64405 + 6.39199i 0.234860 + 0.323257i
\(392\) −10.0988 25.0429i −0.510068 1.26486i
\(393\) 0.159136 + 0.0451408i 0.00802735 + 0.00227705i
\(394\) −0.537321 + 6.56470i −0.0270698 + 0.330725i
\(395\) 5.69590 0.140932i 0.286592 0.00709105i
\(396\) −4.34524 18.8689i −0.218357 0.948196i
\(397\) −9.49933 + 3.08652i −0.476758 + 0.154908i −0.537532 0.843244i \(-0.680643\pi\)
0.0607739 + 0.998152i \(0.480643\pi\)
\(398\) −8.04044 + 19.2409i −0.403031 + 0.964459i
\(399\) −5.03818 + 17.7612i −0.252224 + 0.889174i
\(400\) −11.1497 + 16.6037i −0.557487 + 0.830186i
\(401\) 23.7168i 1.18436i 0.805806 + 0.592180i \(0.201732\pi\)
−0.805806 + 0.592180i \(0.798268\pi\)
\(402\) −6.09783 4.85319i −0.304132 0.242055i
\(403\) 3.48505 + 10.7259i 0.173603 + 0.534294i
\(404\) 22.5620 22.2814i 1.12250 1.10854i
\(405\) 19.9322 + 2.77612i 0.990440 + 0.137947i
\(406\) 12.1633 + 0.995568i 0.603656 + 0.0494092i
\(407\) 7.50276i 0.371898i
\(408\) −0.893405 8.32443i −0.0442301 0.412121i
\(409\) 18.7930 13.6539i 0.929255 0.675143i −0.0165551 0.999863i \(-0.505270\pi\)
0.945810 + 0.324719i \(0.105270\pi\)
\(410\) 1.32170 23.1911i 0.0652743 1.14533i
\(411\) 15.5839 + 19.8296i 0.768696 + 0.978123i
\(412\) −3.59634 + 6.95038i −0.177179 + 0.342421i
\(413\) −39.9412 + 29.0190i −1.96538 + 1.42793i
\(414\) −15.9391 + 11.4313i −0.783366 + 0.561819i
\(415\) 11.1867 + 7.71216i 0.549132 + 0.378575i
\(416\) −33.3655 + 7.46044i −1.63588 + 0.365778i
\(417\) −2.15562 1.44506i −0.105561 0.0707647i
\(418\) −2.75536 11.6371i −0.134769 0.569191i
\(419\) 0.428622 1.31916i 0.0209395 0.0644453i −0.940041 0.341062i \(-0.889213\pi\)
0.960980 + 0.276617i \(0.0892133\pi\)
\(420\) −27.2262 + 15.8602i −1.32850 + 0.773898i
\(421\) −5.56178 17.1174i −0.271065 0.834251i −0.990234 0.139416i \(-0.955477\pi\)
0.719169 0.694835i \(-0.244523\pi\)
\(422\) 23.5143 14.3086i 1.14466 0.696531i
\(423\) 9.55580 3.92434i 0.464619 0.190808i
\(424\) −15.4584 + 12.9539i −0.750728 + 0.629095i
\(425\) 6.65610 5.35829i 0.322868 0.259915i
\(426\) −13.2590 0.582570i −0.642400 0.0282256i
\(427\) −20.3107 14.7566i −0.982903 0.714121i
\(428\) 28.5196 28.1650i 1.37855 1.36141i
\(429\) 33.7585 1.27527i 1.62987 0.0615707i
\(430\) 12.7398 + 10.4133i 0.614368 + 0.502172i
\(431\) −8.05614 + 24.7943i −0.388051 + 1.19430i 0.546192 + 0.837660i \(0.316077\pi\)
−0.934243 + 0.356637i \(0.883923\pi\)
\(432\) 20.6792 2.09077i 0.994928 0.100592i
\(433\) −7.91328 2.57118i −0.380288 0.123563i 0.112634 0.993637i \(-0.464071\pi\)
−0.492922 + 0.870073i \(0.664071\pi\)
\(434\) 8.14073 + 6.99700i 0.390767 + 0.335867i
\(435\) −0.513151 8.20025i −0.0246037 0.393172i
\(436\) 8.92114 + 1.47024i 0.427245 + 0.0704117i
\(437\) −9.80077 + 7.12068i −0.468835 + 0.340628i
\(438\) 3.63302 + 5.49219i 0.173592 + 0.262427i
\(439\) −5.42747 + 7.47027i −0.259039 + 0.356537i −0.918651 0.395069i \(-0.870721\pi\)
0.659612 + 0.751606i \(0.270721\pi\)
\(440\) 10.3958 17.5642i 0.495601 0.837338i
\(441\) −28.5588 + 2.16078i −1.35994 + 0.102894i
\(442\) 14.5585 + 1.19162i 0.692479 + 0.0566794i
\(443\) 9.13686i 0.434105i −0.976160 0.217053i \(-0.930356\pi\)
0.976160 0.217053i \(-0.0696444\pi\)
\(444\) 7.99030 + 1.00871i 0.379203 + 0.0478712i
\(445\) 13.2639 10.1474i 0.628768 0.481031i
\(446\) 9.28626 + 15.2607i 0.439717 + 0.722617i
\(447\) −22.7482 + 0.859343i −1.07595 + 0.0406455i
\(448\) −23.4386 + 22.5749i −1.10737 + 1.06656i
\(449\) 4.35202i 0.205384i 0.994713 + 0.102692i \(0.0327457\pi\)
−0.994713 + 0.102692i \(0.967254\pi\)
\(450\) 13.2004 + 16.6057i 0.622273 + 0.782800i
\(451\) 23.7050i 1.11623i
\(452\) 13.8311 + 2.27943i 0.650562 + 0.107215i
\(453\) 9.85200 0.372173i 0.462888 0.0174862i
\(454\) 28.3307 17.2394i 1.32963 0.809085i
\(455\) −18.2760 51.8474i −0.856792 2.43064i
\(456\) 12.7638 1.36985i 0.597718 0.0641490i
\(457\) 8.13030i 0.380319i 0.981753 + 0.190160i \(0.0609006\pi\)
−0.981753 + 0.190160i \(0.939099\pi\)
\(458\) 1.10719 13.5271i 0.0517358 0.632081i
\(459\) −8.70153 1.77190i −0.406152 0.0827050i
\(460\) −20.4773 2.85643i −0.954759 0.133182i
\(461\) 15.7995 21.7462i 0.735857 1.01282i −0.262989 0.964799i \(-0.584708\pi\)
0.998846 0.0480215i \(-0.0152916\pi\)
\(462\) 26.8185 17.7401i 1.24771 0.825345i
\(463\) 16.2070 11.7751i 0.753205 0.547235i −0.143614 0.989634i \(-0.545872\pi\)
0.896819 + 0.442399i \(0.145872\pi\)
\(464\) −2.52106 8.10260i −0.117037 0.376154i
\(465\) 3.87444 6.10062i 0.179673 0.282909i
\(466\) 9.48187 11.0318i 0.439239 0.511038i
\(467\) 2.65359 + 0.862205i 0.122794 + 0.0398981i 0.369769 0.929124i \(-0.379437\pi\)
−0.246976 + 0.969022i \(0.579437\pi\)
\(468\) −3.18052 + 36.1236i −0.147020 + 1.66981i
\(469\) 3.99936 12.3088i 0.184673 0.568366i
\(470\) 10.1478 + 3.94870i 0.468085 + 0.182140i
\(471\) 11.7378 0.443410i 0.540847 0.0204312i
\(472\) 29.1000 + 18.2103i 1.33944 + 0.838199i
\(473\) −13.5846 9.86982i −0.624622 0.453815i
\(474\) 0.273971 6.23544i 0.0125839 0.286403i
\(475\) 8.21581 + 10.2057i 0.376967 + 0.468271i
\(476\) 12.4273 6.23442i 0.569606 0.285754i
\(477\) 8.12653 + 19.7882i 0.372088 + 0.906038i
\(478\) 21.3899 + 35.1515i 0.978351 + 1.60779i
\(479\) −6.48938 19.9722i −0.296507 0.912555i −0.982711 0.185146i \(-0.940724\pi\)
0.686204 0.727409i \(-0.259276\pi\)
\(480\) 17.3078 + 13.4328i 0.789991 + 0.613119i
\(481\) −4.34215 + 13.3638i −0.197985 + 0.609335i
\(482\) −32.8526 + 7.77859i −1.49639 + 0.354305i
\(483\) −27.0562 18.1376i −1.23110 0.825290i
\(484\) 0.538314 1.04036i 0.0244688 0.0472890i
\(485\) −35.0970 + 0.868393i −1.59367 + 0.0394317i
\(486\) 4.53164 21.5746i 0.205559 0.978645i
\(487\) −3.99489 + 2.90246i −0.181026 + 0.131523i −0.674608 0.738176i \(-0.735687\pi\)
0.493582 + 0.869699i \(0.335687\pi\)
\(488\) −4.23423 + 16.9351i −0.191674 + 0.766616i
\(489\) −15.9257 20.2646i −0.720186 0.916398i
\(490\) −23.3747 19.1060i −1.05596 0.863122i
\(491\) 13.3366 9.68959i 0.601871 0.437285i −0.244671 0.969606i \(-0.578680\pi\)
0.846543 + 0.532321i \(0.178680\pi\)
\(492\) −25.2454 3.18703i −1.13815 0.143682i
\(493\) 3.62548i 0.163284i
\(494\) −1.82709 + 22.3225i −0.0822048 + 1.00433i
\(495\) −14.4135 16.1523i −0.647838 0.725990i
\(496\) 2.39513 7.06924i 0.107544 0.317418i
\(497\) −6.81072 20.9612i −0.305503 0.940241i
\(498\) 9.26892 11.6460i 0.415350 0.521871i
\(499\) 29.5012i 1.32066i 0.750978 + 0.660328i \(0.229583\pi\)
−0.750978 + 0.660328i \(0.770417\pi\)
\(500\) −1.99021 + 22.2719i −0.0890049 + 0.996031i
\(501\) −6.56946 + 23.1595i −0.293502 + 1.03469i
\(502\) 19.8693 + 8.30306i 0.886812 + 0.370584i
\(503\) −15.6724 + 5.09227i −0.698798 + 0.227053i −0.636807 0.771023i \(-0.719745\pi\)
−0.0619914 + 0.998077i \(0.519745\pi\)
\(504\) 15.2873 + 30.9462i 0.680949 + 1.37846i
\(505\) 10.1181 33.9780i 0.450248 1.51200i
\(506\) 21.0292 + 1.72124i 0.934862 + 0.0765184i
\(507\) −39.2060 11.1212i −1.74120 0.493911i
\(508\) 6.37347 + 41.9369i 0.282777 + 1.86065i
\(509\) 3.01849 + 4.15459i 0.133792 + 0.184149i 0.870656 0.491892i \(-0.163694\pi\)
−0.736864 + 0.676041i \(0.763694\pi\)
\(510\) −5.35575 7.67684i −0.237156 0.339936i
\(511\) −6.42776 + 8.84706i −0.284348 + 0.391371i
\(512\) 20.6530 + 9.24416i 0.912741 + 0.408538i
\(513\) 2.71683 13.3420i 0.119951 0.589062i
\(514\) 18.3835 + 7.68217i 0.810863 + 0.338846i
\(515\) 0.216417 + 8.74671i 0.00953648 + 0.385426i
\(516\) 12.3376 13.1404i 0.543131 0.578475i
\(517\) −10.5684 3.43389i −0.464799 0.151022i
\(518\) 3.08152 + 13.0147i 0.135394 + 0.571832i
\(519\) 12.7498 19.0191i 0.559654 0.834846i
\(520\) −28.6819 + 25.2684i −1.25778 + 1.10809i
\(521\) 2.25435 0.732482i 0.0987648 0.0320906i −0.259218 0.965819i \(-0.583465\pi\)
0.357983 + 0.933728i \(0.383465\pi\)
\(522\) −9.00032 0.0553625i −0.393933 0.00242315i
\(523\) −28.8397 20.9533i −1.26107 0.916222i −0.262262 0.964997i \(-0.584468\pi\)
−0.998810 + 0.0487748i \(0.984468\pi\)
\(524\) 0.170725 0.0856477i 0.00745816 0.00374154i
\(525\) −18.1447 + 30.1957i −0.791902 + 1.31785i
\(526\) −8.37364 35.3657i −0.365108 1.54202i
\(527\) −1.87441 + 2.57990i −0.0816505 + 0.112382i
\(528\) −18.4141 12.6810i −0.801371 0.551870i
\(529\) 0.502477 + 1.54647i 0.0218468 + 0.0672376i
\(530\) −8.17697 + 21.0142i −0.355185 + 0.912796i
\(531\) 27.7582 23.5630i 1.20460 1.02255i
\(532\) 9.55917 + 19.0547i 0.414443 + 0.826126i
\(533\) 13.7191 42.2230i 0.594239 1.82888i
\(534\) −10.0930 15.2581i −0.436769 0.660282i
\(535\) 12.7898 42.9501i 0.552952 1.85690i
\(536\) −8.97753 + 0.621837i −0.387770 + 0.0268593i
\(537\) −13.5304 + 4.96842i −0.583881 + 0.214403i
\(538\) −5.13095 4.41008i −0.221211 0.190132i
\(539\) 24.9248 + 18.1089i 1.07359 + 0.780006i
\(540\) 19.1397 13.1785i 0.823640 0.567112i
\(541\) 18.3009 13.2964i 0.786819 0.571657i −0.120199 0.992750i \(-0.538353\pi\)
0.907018 + 0.421092i \(0.138353\pi\)
\(542\) −42.1140 3.44703i −1.80895 0.148063i
\(543\) 15.7133 + 4.45726i 0.674322 + 0.191279i
\(544\) −7.25208 6.39270i −0.310930 0.274085i
\(545\) 9.53372 3.36060i 0.408380 0.143952i
\(546\) −58.0354 + 16.0774i −2.48369 + 0.688049i
\(547\) 10.9627 + 33.7396i 0.468729 + 1.44260i 0.854231 + 0.519894i \(0.174028\pi\)
−0.385501 + 0.922707i \(0.625972\pi\)
\(548\) 28.7345 + 4.73555i 1.22748 + 0.202293i
\(549\) 15.7576 + 9.72191i 0.672517 + 0.414921i
\(550\) 0.734483 22.8074i 0.0313184 0.972509i
\(551\) −5.55892 −0.236818
\(552\) −4.66036 + 22.1643i −0.198358 + 0.943375i
\(553\) 9.85766 3.20295i 0.419190 0.136203i
\(554\) −7.11426 + 4.32907i −0.302256 + 0.183925i
\(555\) 8.37313 3.31190i 0.355419 0.140582i
\(556\) −2.96262 + 0.450251i −0.125643 + 0.0190949i
\(557\) 15.8708 0.672466 0.336233 0.941779i \(-0.390847\pi\)
0.336233 + 0.941779i \(0.390847\pi\)
\(558\) −6.37602 4.69264i −0.269919 0.198655i
\(559\) 18.4846 + 25.4419i 0.781816 + 1.07608i
\(560\) −10.8192 + 34.7374i −0.457195 + 1.46793i
\(561\) 5.90248 + 7.51058i 0.249203 + 0.317097i
\(562\) 18.9250 + 16.2661i 0.798303 + 0.686145i
\(563\) −11.9500 16.4477i −0.503632 0.693190i 0.479197 0.877707i \(-0.340928\pi\)
−0.982829 + 0.184517i \(0.940928\pi\)
\(564\) 5.07790 10.7935i 0.213818 0.454489i
\(565\) 14.7809 5.21020i 0.621836 0.219195i
\(566\) 3.44576 4.00901i 0.144836 0.168511i
\(567\) 36.1932 5.50834i 1.51997 0.231329i
\(568\) −11.7461 + 9.84295i −0.492854 + 0.413001i
\(569\) −0.353267 0.114783i −0.0148097 0.00481197i 0.301603 0.953434i \(-0.402478\pi\)
−0.316412 + 0.948622i \(0.602478\pi\)
\(570\) 11.7708 8.21191i 0.493026 0.343959i
\(571\) 1.76725 0.574214i 0.0739571 0.0240301i −0.271805 0.962352i \(-0.587620\pi\)
0.345762 + 0.938322i \(0.387620\pi\)
\(572\) 27.7554 27.4102i 1.16051 1.14608i
\(573\) −3.31546 4.21874i −0.138505 0.176240i
\(574\) −9.73610 41.1200i −0.406377 1.71632i
\(575\) −21.6044 + 8.22174i −0.900967 + 0.342870i
\(576\) 15.9807 17.9058i 0.665863 0.746074i
\(577\) −7.63108 + 10.5033i −0.317686 + 0.437257i −0.937759 0.347287i \(-0.887103\pi\)
0.620073 + 0.784544i \(0.287103\pi\)
\(578\) −10.3505 17.0096i −0.430522 0.707507i
\(579\) −14.0929 + 0.532379i −0.585681 + 0.0221249i
\(580\) −6.83140 6.58345i −0.283659 0.273363i
\(581\) 23.5080 + 7.63823i 0.975278 + 0.316887i
\(582\) −1.68815 + 38.4215i −0.0699762 + 1.59262i
\(583\) 7.11091 21.8851i 0.294504 0.906389i
\(584\) 7.37670 + 1.84437i 0.305250 + 0.0763206i
\(585\) 16.3250 + 37.1117i 0.674957 + 1.53438i
\(586\) −11.9607 4.99818i −0.494092 0.206473i
\(587\) −20.1814 27.7773i −0.832974 1.14649i −0.987362 0.158480i \(-0.949341\pi\)
0.154388 0.988010i \(-0.450659\pi\)
\(588\) −22.6367 + 24.1098i −0.933521 + 0.994271i
\(589\) −3.95574 2.87401i −0.162993 0.118422i
\(590\) 38.3180 + 2.18381i 1.57753 + 0.0899061i
\(591\) 7.57258 2.78068i 0.311494 0.114382i
\(592\) 7.59137 5.37162i 0.312003 0.220772i
\(593\) 27.4395 1.12681 0.563403 0.826182i \(-0.309492\pi\)
0.563403 + 0.826182i \(0.309492\pi\)
\(594\) −18.7353 + 14.5383i −0.768717 + 0.596514i
\(595\) 8.82300 12.7980i 0.361708 0.524665i
\(596\) −18.7030 + 18.4704i −0.766103 + 0.756577i
\(597\) 25.5218 0.964120i 1.04454 0.0394588i
\(598\) −36.4606 15.2363i −1.49099 0.623058i
\(599\) −15.6130 −0.637931 −0.318965 0.947766i \(-0.603335\pi\)
−0.318965 + 0.947766i \(0.603335\pi\)
\(600\) 24.1907 + 3.84855i 0.987580 + 0.157116i
\(601\) 22.0342 0.898793 0.449396 0.893333i \(-0.351639\pi\)
0.449396 + 0.893333i \(0.351639\pi\)
\(602\) 27.6183 + 11.5412i 1.12564 + 0.470386i
\(603\) −2.25626 + 9.27442i −0.0918822 + 0.377683i
\(604\) 8.10007 7.99935i 0.329587 0.325489i
\(605\) −0.0323941 1.30924i −0.00131701 0.0532282i
\(606\) −36.3731 13.6108i −1.47756 0.552901i
\(607\) −37.2252 −1.51092 −0.755462 0.655192i \(-0.772588\pi\)
−0.755462 + 0.655192i \(0.772588\pi\)
\(608\) 9.80186 11.1195i 0.397518 0.450957i
\(609\) −5.15214 14.0308i −0.208775 0.568555i
\(610\) 4.96512 + 18.8747i 0.201032 + 0.764215i
\(611\) 16.8369 + 12.2328i 0.681150 + 0.494884i
\(612\) −8.79219 + 5.27627i −0.355403 + 0.213281i
\(613\) −16.8794 23.2326i −0.681754 0.938355i 0.318199 0.948024i \(-0.396922\pi\)
−0.999953 + 0.00966950i \(0.996922\pi\)
\(614\) 9.34053 + 3.90325i 0.376953 + 0.157522i
\(615\) −26.4550 + 10.4640i −1.06677 + 0.421949i
\(616\) 9.00610 36.0205i 0.362866 1.45131i
\(617\) −12.6400 + 38.9018i −0.508866 + 1.56613i 0.285308 + 0.958436i \(0.407904\pi\)
−0.794173 + 0.607691i \(0.792096\pi\)
\(618\) 9.57524 + 0.420714i 0.385173 + 0.0169236i
\(619\) −30.5204 9.91668i −1.22672 0.398585i −0.377194 0.926134i \(-0.623111\pi\)
−0.849524 + 0.527549i \(0.823111\pi\)
\(620\) −1.45754 8.21669i −0.0585361 0.329990i
\(621\) 20.9064 + 11.8330i 0.838944 + 0.474842i
\(622\) −8.24669 13.5523i −0.330662 0.543399i
\(623\) 17.8572 24.5784i 0.715436 0.984713i
\(624\) 25.4598 + 33.2441i 1.01921 + 1.33083i
\(625\) 10.0365 + 22.8969i 0.401460 + 0.915877i
\(626\) −0.807553 3.41067i −0.0322763 0.136318i
\(627\) −11.5159 + 9.05021i −0.459901 + 0.361431i
\(628\) 9.65049 9.53049i 0.385096 0.380308i
\(629\) −3.77875 + 1.22779i −0.150669 + 0.0489552i
\(630\) 31.6364 + 22.0987i 1.26042 + 0.880432i
\(631\) −12.5237 4.06919i −0.498560 0.161992i 0.0489334 0.998802i \(-0.484418\pi\)
−0.547493 + 0.836810i \(0.684418\pi\)
\(632\) −4.62894 5.52394i −0.184130 0.219730i
\(633\) −28.0020 18.7716i −1.11298 0.746105i
\(634\) 12.3453 14.3633i 0.490296 0.570440i
\(635\) 28.8164 + 37.6666i 1.14354 + 1.49475i
\(636\) 22.3512 + 10.5153i 0.886283 + 0.416960i
\(637\) −33.9152 46.6802i −1.34377 1.84954i
\(638\) 7.34247 + 6.31089i 0.290691 + 0.249850i
\(639\) 6.17492 + 15.0360i 0.244276 + 0.594814i
\(640\) 25.2145 2.05652i 0.996690 0.0812910i
\(641\) 11.4977 + 15.8252i 0.454130 + 0.625057i 0.973279 0.229627i \(-0.0737508\pi\)
−0.519148 + 0.854684i \(0.673751\pi\)
\(642\) −45.9777 17.2048i −1.81459 0.679020i
\(643\) 39.4122 1.55426 0.777132 0.629337i \(-0.216673\pi\)
0.777132 + 0.629337i \(0.216673\pi\)
\(644\) −37.1853 + 5.65133i −1.46531 + 0.222694i
\(645\) 5.01818 19.5173i 0.197591 0.768494i
\(646\) −5.41012 + 3.29209i −0.212858 + 0.129526i
\(647\) −28.7039 + 9.32647i −1.12847 + 0.366661i −0.812994 0.582273i \(-0.802164\pi\)
−0.315474 + 0.948934i \(0.602164\pi\)
\(648\) −12.9642 21.9073i −0.509280 0.860601i
\(649\) −39.1671 −1.53744
\(650\) −14.5078 + 40.1989i −0.569042 + 1.57673i
\(651\) 3.58775 12.6480i 0.140615 0.495715i
\(652\) −29.3648 4.83944i −1.15001 0.189527i
\(653\) 13.6778 + 42.0958i 0.535252 + 1.64734i 0.743104 + 0.669175i \(0.233353\pi\)
−0.207853 + 0.978160i \(0.566647\pi\)
\(654\) −2.95632 10.6716i −0.115601 0.417292i
\(655\) 0.121209 0.175817i 0.00473604 0.00686973i
\(656\) −23.9850 + 16.9717i −0.936457 + 0.662634i
\(657\) 4.23473 6.86379i 0.165212 0.267782i
\(658\) 19.7429 + 1.61596i 0.769659 + 0.0629965i
\(659\) −14.3375 + 10.4168i −0.558508 + 0.405780i −0.830913 0.556403i \(-0.812181\pi\)
0.272405 + 0.962183i \(0.412181\pi\)
\(660\) −24.8702 2.51644i −0.968071 0.0979523i
\(661\) 3.16991 + 2.30308i 0.123295 + 0.0895793i 0.647724 0.761875i \(-0.275721\pi\)
−0.524429 + 0.851454i \(0.675721\pi\)
\(662\) −26.4144 22.7033i −1.02662 0.882389i
\(663\) −6.16670 16.7937i −0.239495 0.652213i
\(664\) −1.18762 17.1458i −0.0460887 0.665387i
\(665\) 19.6230 + 13.5282i 0.760947 + 0.524602i
\(666\) −2.99031 9.39956i −0.115872 0.364225i
\(667\) 3.03078 9.32779i 0.117352 0.361174i
\(668\) 12.4645 + 24.8461i 0.482268 + 0.961325i
\(669\) 12.1828 18.1733i 0.471013 0.702619i
\(670\) −8.46301 + 5.44112i −0.326955 + 0.210209i
\(671\) −6.15471 18.9422i −0.237600 0.731257i
\(672\) 37.1504 + 14.4341i 1.43311 + 0.556808i
\(673\) −8.48668 + 11.6809i −0.327138 + 0.450266i −0.940630 0.339435i \(-0.889764\pi\)
0.613492 + 0.789701i \(0.289764\pi\)
\(674\) −3.49744 14.7713i −0.134716 0.568969i
\(675\) 11.6636 23.2155i 0.448930 0.893567i
\(676\) −42.0612 + 21.1008i −1.61774 + 0.811570i
\(677\) −21.0140 15.2675i −0.807632 0.586779i 0.105511 0.994418i \(-0.466352\pi\)
−0.913143 + 0.407639i \(0.866352\pi\)
\(678\) −4.58341 16.5450i −0.176025 0.635407i
\(679\) −60.7409 + 19.7359i −2.33102 + 0.757394i
\(680\) −10.5474 2.36154i −0.404473 0.0905611i
\(681\) −33.7376 22.6166i −1.29283 0.866670i
\(682\) 1.96213 + 8.28696i 0.0751337 + 0.317324i
\(683\) −29.3508 9.53665i −1.12308 0.364910i −0.312136 0.950037i \(-0.601044\pi\)
−0.810941 + 0.585127i \(0.801044\pi\)
\(684\) −8.09005 13.4810i −0.309331 0.515458i
\(685\) 30.7075 10.8243i 1.17327 0.413575i
\(686\) −13.5182 5.64905i −0.516129 0.215682i
\(687\) −15.6039 + 5.72982i −0.595327 + 0.218606i
\(688\) 0.260414 20.8114i 0.00992818 0.793427i
\(689\) −25.3316 + 34.8660i −0.965057 + 1.32829i
\(690\) 7.36189 + 24.2285i 0.280263 + 0.922364i
\(691\) 1.42181 + 1.95695i 0.0540881 + 0.0744459i 0.835204 0.549940i \(-0.185349\pi\)
−0.781116 + 0.624386i \(0.785349\pi\)
\(692\) −3.97259 26.1393i −0.151015 0.993667i
\(693\) −33.5160 20.6783i −1.27317 0.785502i
\(694\) 21.8958 + 1.79217i 0.831152 + 0.0680297i
\(695\) −2.66094 + 2.03572i −0.100935 + 0.0772194i
\(696\) −7.70813 + 6.97112i −0.292176 + 0.264240i
\(697\) 11.9390 3.87922i 0.452222 0.146936i
\(698\) −2.93875 1.22805i −0.111233 0.0464825i
\(699\) −17.1398 4.86189i −0.648285 0.183894i
\(700\) 8.09334 + 39.8645i 0.305899 + 1.50674i
\(701\) 24.7792i 0.935897i −0.883756 0.467949i \(-0.844993\pi\)
0.883756 0.467949i \(-0.155007\pi\)
\(702\) 41.7848 15.0525i 1.57707 0.568119i
\(703\) −1.88256 5.79392i −0.0710020 0.218522i
\(704\) −25.5704 + 3.55940i −0.963722 + 0.134150i
\(705\) −0.832922 13.3102i −0.0313697 0.501292i
\(706\) 0.463004 5.65674i 0.0174254 0.212894i
\(707\) 64.4940i 2.42555i
\(708\) 5.26583 41.7123i 0.197902 1.56764i
\(709\) −20.9371 + 15.2117i −0.786310 + 0.571287i −0.906866 0.421419i \(-0.861532\pi\)
0.120556 + 0.992706i \(0.461532\pi\)
\(710\) −6.21325 + 15.9675i −0.233179 + 0.599251i
\(711\) −7.07112 + 2.90394i −0.265188 + 0.108906i
\(712\) −20.4935 5.12392i −0.768027 0.192027i
\(713\) 6.97926 5.07073i 0.261375 0.189900i
\(714\) −13.3235 10.6040i −0.498619 0.396844i
\(715\) 12.4471 41.7992i 0.465495 1.56320i
\(716\) −7.64868 + 14.7820i −0.285844 + 0.552430i
\(717\) 28.0617 41.8602i 1.04798 1.56330i
\(718\) −1.90847 + 0.451874i −0.0712236 + 0.0168638i
\(719\) −7.67165 + 23.6109i −0.286104 + 0.880539i 0.699961 + 0.714181i \(0.253201\pi\)
−0.986065 + 0.166358i \(0.946799\pi\)
\(720\) 6.02363 26.1480i 0.224488 0.974477i
\(721\) 4.91850 + 15.1376i 0.183174 + 0.563753i
\(722\) 8.92010 + 14.6590i 0.331972 + 0.545552i
\(723\) 25.5495 + 32.5103i 0.950195 + 1.20907i
\(724\) 16.8576 8.45696i 0.626508 0.314300i
\(725\) −10.2378 2.77488i −0.380222 0.103057i
\(726\) −1.43326 0.0629741i −0.0531931 0.00233719i
\(727\) −6.99800 5.08435i −0.259542 0.188568i 0.450403 0.892825i \(-0.351280\pi\)
−0.709945 + 0.704257i \(0.751280\pi\)
\(728\) −36.8880 + 58.9469i −1.36716 + 2.18472i
\(729\) −26.3101 + 6.06467i −0.974447 + 0.224617i
\(730\) 8.22157 2.16274i 0.304294 0.0800466i
\(731\) −2.74785 + 8.45702i −0.101633 + 0.312794i
\(732\) 21.0006 4.00796i 0.776205 0.148138i
\(733\) 49.4782 + 16.0764i 1.82752 + 0.593797i 0.999450 + 0.0331691i \(0.0105600\pi\)
0.828068 + 0.560627i \(0.189440\pi\)
\(734\) −6.53488 + 7.60308i −0.241207 + 0.280635i
\(735\) −9.20725 + 35.8099i −0.339615 + 1.32087i
\(736\) 13.3144 + 22.5099i 0.490774 + 0.829725i
\(737\) 8.30661 6.03511i 0.305978 0.222306i
\(738\) 9.44790 + 29.6980i 0.347782 + 1.09320i
\(739\) −6.41467 + 8.82904i −0.235968 + 0.324781i −0.910535 0.413432i \(-0.864330\pi\)
0.674568 + 0.738213i \(0.264330\pi\)
\(740\) 4.54827 9.34972i 0.167198 0.343702i
\(741\) 25.7496 9.45534i 0.945935 0.347351i
\(742\) −3.34632 + 40.8836i −0.122847 + 1.50089i
\(743\) 29.0732i 1.06659i 0.845929 + 0.533296i \(0.179047\pi\)
−0.845929 + 0.533296i \(0.820953\pi\)
\(744\) −9.08925 + 0.975488i −0.333228 + 0.0357631i
\(745\) −8.38748 + 28.1664i −0.307293 + 1.03194i
\(746\) 45.4779 27.6736i 1.66506 1.01320i
\(747\) −17.7128 4.30915i −0.648079 0.157664i
\(748\) 10.8833 + 1.79362i 0.397934 + 0.0655812i
\(749\) 81.5241i 2.97882i
\(750\) 25.7774 9.24805i 0.941257 0.337691i
\(751\) 23.4495i 0.855686i 0.903853 + 0.427843i \(0.140726\pi\)
−0.903853 + 0.427843i \(0.859274\pi\)
\(752\) −4.09205 13.1517i −0.149222 0.479595i
\(753\) −0.995611 26.3554i −0.0362821 0.960444i
\(754\) −9.42589 15.4902i −0.343271 0.564120i
\(755\) 3.63253 12.1986i 0.132201 0.443952i
\(756\) 26.5280 32.9138i 0.964815 1.19706i
\(757\) 6.39980i 0.232605i 0.993214 + 0.116302i \(0.0371041\pi\)
−0.993214 + 0.116302i \(0.962896\pi\)
\(758\) −30.7622 2.51789i −1.11733 0.0914537i
\(759\) −8.90754 24.2578i −0.323323 0.880502i
\(760\) 3.62093 16.1722i 0.131345 0.586627i
\(761\) 0.969420 1.33429i 0.0351414 0.0483680i −0.791085 0.611707i \(-0.790483\pi\)
0.826226 + 0.563339i \(0.190483\pi\)
\(762\) 43.3298 28.6621i 1.56967 1.03832i
\(763\) 14.8773 10.8090i 0.538595 0.391312i
\(764\) −6.11324 1.00749i −0.221169 0.0364496i
\(765\) −5.77635 + 9.90256i −0.208845 + 0.358028i
\(766\) −19.5356 16.7909i −0.705849 0.606681i
\(767\) 69.7637 + 22.6676i 2.51902 + 0.818480i
\(768\) −0.352875 27.7106i −0.0127333 0.999919i
\(769\) −10.2666 + 31.5974i −0.370224 + 1.13943i 0.576421 + 0.817153i \(0.304449\pi\)
−0.946645 + 0.322279i \(0.895551\pi\)
\(770\) −10.5607 40.1461i −0.380581 1.44676i
\(771\) −0.921159 24.3845i −0.0331747 0.878188i
\(772\) −11.5868 + 11.4427i −0.417019 + 0.411834i
\(773\) 17.3306 + 12.5914i 0.623337 + 0.452881i 0.854085 0.520133i \(-0.174118\pi\)
−0.230749 + 0.973013i \(0.574118\pi\)
\(774\) −20.9527