Properties

Label 300.2.n.a.11.19
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 11.19
Character \(\chi\) \(=\) 300.11
Dual form 300.2.n.a.191.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.732928 - 1.20947i) q^{2} +(-1.20611 - 1.24310i) q^{3} +(-0.925633 + 1.77291i) q^{4} +(2.16410 - 0.562738i) q^{5} +(-0.619499 + 2.36986i) q^{6} -3.72853i q^{7} +(2.82270 - 0.179888i) q^{8} +(-0.0905939 + 2.99863i) q^{9} +O(q^{10})\) \(q+(-0.732928 - 1.20947i) q^{2} +(-1.20611 - 1.24310i) q^{3} +(-0.925633 + 1.77291i) q^{4} +(2.16410 - 0.562738i) q^{5} +(-0.619499 + 2.36986i) q^{6} -3.72853i q^{7} +(2.82270 - 0.179888i) q^{8} +(-0.0905939 + 2.99863i) q^{9} +(-2.26674 - 2.20497i) q^{10} +(2.85309 - 2.07289i) q^{11} +(3.32032 - 0.987669i) q^{12} +(-2.64426 - 1.92116i) q^{13} +(-4.50954 + 2.73274i) q^{14} +(-3.30968 - 2.01147i) q^{15} +(-2.28641 - 3.28213i) q^{16} +(-1.89045 + 0.614246i) q^{17} +(3.69315 - 2.08821i) q^{18} +(-3.02333 + 0.982340i) q^{19} +(-1.00548 + 4.35764i) q^{20} +(-4.63493 + 4.49701i) q^{21} +(-4.59821 - 1.93145i) q^{22} +(-1.00203 + 0.728021i) q^{23} +(-3.62811 - 3.29193i) q^{24} +(4.36665 - 2.43564i) q^{25} +(-0.385541 + 4.60622i) q^{26} +(3.83686 - 3.50406i) q^{27} +(6.61033 + 3.45125i) q^{28} +(2.72526 + 0.885489i) q^{29} +(-0.00704891 + 5.47722i) q^{30} +(-9.25193 + 3.00613i) q^{31} +(-2.29386 + 5.17090i) q^{32} +(-6.01796 - 1.04654i) q^{33} +(2.12848 + 1.83625i) q^{34} +(-2.09818 - 8.06890i) q^{35} +(-5.23244 - 2.93625i) q^{36} +(-2.96797 - 2.15636i) q^{37} +(3.40399 + 2.93664i) q^{38} +(0.801066 + 5.60421i) q^{39} +(6.00738 - 1.97774i) q^{40} +(7.18888 - 9.89465i) q^{41} +(8.83607 + 2.30982i) q^{42} +5.08317i q^{43} +(1.03413 + 6.97701i) q^{44} +(1.49139 + 6.54032i) q^{45} +(1.61494 + 0.678344i) q^{46} +(0.623353 - 1.91848i) q^{47} +(-1.32235 + 6.80084i) q^{48} -6.90190 q^{49} +(-6.14628 - 3.49618i) q^{50} +(3.04367 + 1.60918i) q^{51} +(5.85366 - 2.90973i) q^{52} +(4.01912 + 1.30589i) q^{53} +(-7.05020 - 2.07234i) q^{54} +(5.00788 - 6.09149i) q^{55} +(-0.670718 - 10.5245i) q^{56} +(4.86762 + 2.57349i) q^{57} +(-0.926444 - 3.94511i) q^{58} +(-2.52634 - 1.83549i) q^{59} +(6.62970 - 4.00588i) q^{60} +(7.65840 - 5.56415i) q^{61} +(10.4168 + 8.98665i) q^{62} +(11.1805 + 0.337782i) q^{63} +(7.93528 - 1.01554i) q^{64} +(-6.80354 - 2.66957i) q^{65} +(3.14497 + 8.04558i) q^{66} +(13.7784 - 4.47688i) q^{67} +(0.660867 - 3.92017i) q^{68} +(2.11357 + 0.367555i) q^{69} +(-8.22127 + 8.45161i) q^{70} +(1.64679 - 5.06831i) q^{71} +(0.283699 + 8.48054i) 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} +(6.19100 - 5.07635i) q^{78} +(9.60080 + 3.11949i) q^{79} +(-6.79499 - 5.81620i) q^{80} +(-8.98359 - 0.543315i) q^{81} +(-17.2362 - 1.44267i) q^{82} +(4.65327 + 14.3213i) q^{83} +(-3.68255 - 12.3799i) q^{84} +(-3.74547 + 2.39312i) q^{85} +(6.14794 - 3.72560i) q^{86} +(-2.18621 - 4.45576i) q^{87} +(7.68054 - 6.36440i) q^{88} +(1.86723 + 2.57002i) q^{89} +(6.81723 - 6.59737i) q^{90} +(-7.16311 + 9.85917i) q^{91} +(-0.363197 - 2.45040i) q^{92} +(14.8958 + 7.87534i) q^{93} +(-2.77722 + 0.652183i) q^{94} +(-5.98999 + 3.82723i) q^{95} +(9.19459 - 3.38518i) q^{96} +(0.754039 - 2.32069i) q^{97} +(5.05860 + 8.34764i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.732928 1.20947i −0.518258 0.855224i
\(3\) −1.20611 1.24310i −0.696348 0.717704i
\(4\) −0.925633 + 1.77291i −0.462817 + 0.886454i
\(5\) 2.16410 0.562738i 0.967815 0.251664i
\(6\) −0.619499 + 2.36986i −0.252909 + 0.967490i
\(7\) 3.72853i 1.40925i −0.709580 0.704625i \(-0.751115\pi\)
0.709580 0.704625i \(-0.248885\pi\)
\(8\) 2.82270 0.179888i 0.997975 0.0636001i
\(9\) −0.0905939 + 2.99863i −0.0301980 + 0.999544i
\(10\) −2.26674 2.20497i −0.716807 0.697271i
\(11\) 2.85309 2.07289i 0.860240 0.625001i −0.0677102 0.997705i \(-0.521569\pi\)
0.927950 + 0.372704i \(0.121569\pi\)
\(12\) 3.32032 0.987669i 0.958493 0.285115i
\(13\) −2.64426 1.92116i −0.733384 0.532835i 0.157248 0.987559i \(-0.449738\pi\)
−0.890632 + 0.454724i \(0.849738\pi\)
\(14\) −4.50954 + 2.73274i −1.20522 + 0.730356i
\(15\) −3.30968 2.01147i −0.854556 0.519358i
\(16\) −2.28641 3.28213i −0.571601 0.820531i
\(17\) −1.89045 + 0.614246i −0.458503 + 0.148977i −0.529156 0.848524i \(-0.677491\pi\)
0.0706537 + 0.997501i \(0.477491\pi\)
\(18\) 3.69315 2.08821i 0.870484 0.492196i
\(19\) −3.02333 + 0.982340i −0.693600 + 0.225364i −0.634540 0.772890i \(-0.718810\pi\)
−0.0590600 + 0.998254i \(0.518810\pi\)
\(20\) −1.00548 + 4.35764i −0.224832 + 0.974398i
\(21\) −4.63493 + 4.49701i −1.01142 + 0.981329i
\(22\) −4.59821 1.93145i −0.980342 0.411786i
\(23\) −1.00203 + 0.728021i −0.208939 + 0.151803i −0.687333 0.726342i \(-0.741219\pi\)
0.478395 + 0.878145i \(0.341219\pi\)
\(24\) −3.62811 3.29193i −0.740585 0.671963i
\(25\) 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
\(28\) 6.61033 + 3.45125i 1.24924 + 0.652225i
\(29\) 2.72526 + 0.885489i 0.506067 + 0.164431i 0.550913 0.834563i \(-0.314280\pi\)
−0.0448457 + 0.998994i \(0.514280\pi\)
\(30\) −0.00704891 + 5.47722i −0.00128695 + 0.999999i
\(31\) −9.25193 + 3.00613i −1.66170 + 0.539918i −0.981226 0.192859i \(-0.938224\pi\)
−0.680469 + 0.732777i \(0.738224\pi\)
\(32\) −2.29386 + 5.17090i −0.405501 + 0.914095i
\(33\) −6.01796 1.04654i −1.04759 0.182179i
\(34\) 2.12848 + 1.83625i 0.365031 + 0.314914i
\(35\) −2.09818 8.06890i −0.354658 1.36389i
\(36\) −5.23244 2.93625i −0.872074 0.489375i
\(37\) −2.96797 2.15636i −0.487932 0.354503i 0.316457 0.948607i \(-0.397507\pi\)
−0.804388 + 0.594104i \(0.797507\pi\)
\(38\) 3.40399 + 2.93664i 0.552201 + 0.476386i
\(39\) 0.801066 + 5.60421i 0.128273 + 0.897392i
\(40\) 6.00738 1.97774i 0.949849 0.312708i
\(41\) 7.18888 9.89465i 1.12272 1.54528i 0.321499 0.946910i \(-0.395813\pi\)
0.801216 0.598375i \(-0.204187\pi\)
\(42\) 8.83607 + 2.30982i 1.36344 + 0.356413i
\(43\) 5.08317i 0.775176i 0.921833 + 0.387588i \(0.126692\pi\)
−0.921833 + 0.387588i \(0.873308\pi\)
\(44\) 1.03413 + 6.97701i 0.155901 + 1.05182i
\(45\) 1.49139 + 6.54032i 0.222323 + 0.974973i
\(46\) 1.61494 + 0.678344i 0.238110 + 0.100016i
\(47\) 0.623353 1.91848i 0.0909254 0.279840i −0.895245 0.445574i \(-0.853000\pi\)
0.986170 + 0.165735i \(0.0529995\pi\)
\(48\) −1.32235 + 6.80084i −0.190865 + 0.981616i
\(49\) −6.90190 −0.985986
\(50\) −6.14628 3.49618i −0.869215 0.494435i
\(51\) 3.04367 + 1.60918i 0.426199 + 0.225330i
\(52\) 5.85366 2.90973i 0.811756 0.403507i
\(53\) 4.01912 + 1.30589i 0.552069 + 0.179378i 0.571749 0.820428i \(-0.306265\pi\)
−0.0196806 + 0.999806i \(0.506265\pi\)
\(54\) −7.05020 2.07234i −0.959411 0.282010i
\(55\) 5.00788 6.09149i 0.675263 0.821377i
\(56\) −0.670718 10.5245i −0.0896284 1.40640i
\(57\) 4.86762 + 2.57349i 0.644732 + 0.340867i
\(58\) −0.926444 3.94511i −0.121648 0.518019i
\(59\) −2.52634 1.83549i −0.328901 0.238960i 0.411063 0.911607i \(-0.365158\pi\)
−0.739964 + 0.672646i \(0.765158\pi\)
\(60\) 6.62970 4.00588i 0.855890 0.517157i
\(61\) 7.65840 5.56415i 0.980558 0.712417i 0.0227244 0.999742i \(-0.492766\pi\)
0.957833 + 0.287325i \(0.0927660\pi\)
\(62\) 10.4168 + 8.98665i 1.32294 + 1.14131i
\(63\) 11.1805 + 0.337782i 1.40861 + 0.0425565i
\(64\) 7.93528 1.01554i 0.991910 0.126943i
\(65\) −6.80354 2.66957i −0.843876 0.331119i
\(66\) 3.14497 + 8.04558i 0.387119 + 0.990342i
\(67\) 13.7784 4.47688i 1.68330 0.546938i 0.697754 0.716337i \(-0.254183\pi\)
0.985548 + 0.169399i \(0.0541827\pi\)
\(68\) 0.660867 3.92017i 0.0801418 0.475390i
\(69\) 2.11357 + 0.367555i 0.254444 + 0.0442485i
\(70\) −8.22127 + 8.45161i −0.982630 + 1.01016i
\(71\) 1.64679 5.06831i 0.195438 0.601497i −0.804533 0.593908i \(-0.797584\pi\)
0.999971 0.00758919i \(-0.00241574\pi\)
\(72\) 0.283699 + 8.48054i 0.0334342 + 0.999441i
\(73\) −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
\(78\) 6.19100 5.07635i 0.700992 0.574783i
\(79\) 9.60080 + 3.11949i 1.08017 + 0.350970i 0.794442 0.607339i \(-0.207763\pi\)
0.285732 + 0.958309i \(0.407763\pi\)
\(80\) −6.79499 5.81620i −0.759703 0.650271i
\(81\) −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 \(0.209633\pi\)
−0.280099 + 0.959971i \(0.590367\pi\)
\(84\) −3.68255 12.3799i −0.401799 1.35076i
\(85\) −3.74547 + 2.39312i −0.406253 + 0.259570i
\(86\) 6.14794 3.72560i 0.662949 0.401741i
\(87\) −2.18621 4.45576i −0.234386 0.477708i
\(88\) 7.68054 6.36440i 0.818748 0.678447i
\(89\) 1.86723 + 2.57002i 0.197926 + 0.272421i 0.896431 0.443184i \(-0.146151\pi\)
−0.698505 + 0.715605i \(0.746151\pi\)
\(90\) 6.81723 6.59737i 0.718600 0.695424i
\(91\) −7.16311 + 9.85917i −0.750898 + 1.03352i
\(92\) −0.363197 2.45040i −0.0378659 0.255471i
\(93\) 14.8958 + 7.87534i 1.54462 + 0.816635i
\(94\) −2.77722 + 0.652183i −0.286448 + 0.0672676i
\(95\) −5.98999 + 3.82723i −0.614560 + 0.392665i
\(96\) 9.19459 3.38518i 0.938419 0.345498i
\(97\) 0.754039 2.32069i 0.0765611 0.235631i −0.905450 0.424452i \(-0.860467\pi\)
0.982011 + 0.188821i \(0.0604667\pi\)
\(98\) 5.05860 + 8.34764i 0.510996 + 0.843239i
\(99\) 5.95737 + 8.74317i 0.598738 + 0.878721i
\(100\) 0.276251 + 9.99618i 0.0276251 + 0.999618i
\(101\) 10.8638i 1.08098i 0.841349 + 0.540492i \(0.181762\pi\)
−0.841349 + 0.540492i \(0.818238\pi\)
\(102\) −0.284540 4.86063i −0.0281736 0.481274i
\(103\) −11.8136 3.83848i −1.16403 0.378216i −0.337619 0.941283i \(-0.609621\pi\)
−0.826412 + 0.563066i \(0.809621\pi\)
\(104\) −7.80954 4.94720i −0.765788 0.485113i
\(105\) −7.49981 + 12.3402i −0.731906 + 1.20428i
\(106\) −1.36629 5.81813i −0.132706 0.565107i
\(107\) 4.06445 0.392925 0.196463 0.980511i \(-0.437055\pi\)
0.196463 + 0.980511i \(0.437055\pi\)
\(108\) 2.66085 + 10.0459i 0.256041 + 0.966666i
\(109\) 5.86170 + 4.25878i 0.561449 + 0.407917i 0.831989 0.554792i \(-0.187202\pi\)
−0.270540 + 0.962709i \(0.587202\pi\)
\(110\) −11.0379 1.59226i −1.05242 0.151816i
\(111\) 0.899135 + 6.29029i 0.0853421 + 0.597048i
\(112\) −12.2375 + 8.52492i −1.15633 + 0.805529i
\(113\) 7.49495 10.3159i 0.705066 0.970439i −0.294824 0.955552i \(-0.595261\pi\)
0.999889 0.0148878i \(-0.00473911\pi\)
\(114\) −0.455054 7.77342i −0.0426197 0.728048i
\(115\) −1.75882 + 2.13939i −0.164011 + 0.199499i
\(116\) −4.09248 + 4.01199i −0.379977 + 0.372504i
\(117\) 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
\(120\) −9.70408 5.08240i −0.885858 0.463957i
\(121\) 0.444067 1.36670i 0.0403697 0.124245i
\(122\) −12.3427 5.18448i −1.11746 0.469381i
\(123\) −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
\(126\) −7.78595 13.7700i −0.693627 1.22673i
\(127\) 1.49096 + 2.05213i 0.132301 + 0.182097i 0.870028 0.493003i \(-0.164101\pi\)
−0.737727 + 0.675099i \(0.764101\pi\)
\(128\) −7.04425 8.85316i −0.622630 0.782516i
\(129\) 6.31889 6.13087i 0.556347 0.539793i
\(130\) 1.75775 + 10.1853i 0.154165 + 0.893308i
\(131\) 4.39825 + 13.5364i 0.384277 + 1.18268i 0.937004 + 0.349320i \(0.113587\pi\)
−0.552727 + 0.833362i \(0.686413\pi\)
\(132\) 7.42585 9.70058i 0.646337 0.844327i
\(133\) 3.66268 + 11.2726i 0.317595 + 0.977456i
\(134\) −15.5132 13.3833i −1.34014 1.15615i
\(135\) 6.33149 9.74229i 0.544927 0.838483i
\(136\) −5.22569 + 2.07390i −0.448099 + 0.177836i
\(137\) −2.86731 + 3.94651i −0.244971 + 0.337173i −0.913742 0.406295i \(-0.866821\pi\)
0.668771 + 0.743468i \(0.266821\pi\)
\(138\) −1.10455 2.82569i −0.0940251 0.240538i
\(139\) 10.2971 + 14.1727i 0.873386 + 1.20211i 0.978209 + 0.207622i \(0.0665723\pi\)
−0.104823 + 0.994491i \(0.533428\pi\)
\(140\) 16.2476 + 3.74896i 1.37317 + 0.316845i
\(141\) −3.13670 + 1.53901i −0.264158 + 0.129608i
\(142\) −7.33694 + 1.72296i −0.615703 + 0.144587i
\(143\) −11.5267 −0.963909
\(144\) 10.0490 6.55875i 0.837418 0.546562i
\(145\) 6.39602 + 0.382681i 0.531161 + 0.0317800i
\(146\) 9.07022 + 3.80988i 0.750657 + 0.315308i
\(147\) 8.32446 + 8.57976i 0.686590 + 0.707646i
\(148\) 6.57028 3.26594i 0.540074 0.268459i
\(149\) 0.975207i 0.0798921i −0.999202 0.0399460i \(-0.987281\pi\)
0.999202 0.0399460i \(-0.0127186\pi\)
\(150\) 3.06699 + 11.8572i 0.250418 + 0.968138i
\(151\) 17.7976i 1.44835i −0.689618 0.724173i \(-0.742222\pi\)
0.689618 0.724173i \(-0.257778\pi\)
\(152\) −8.35725 + 3.31671i −0.677862 + 0.269021i
\(153\) −1.67063 5.72442i −0.135063 0.462792i
\(154\) −7.20145 + 17.1446i −0.580310 + 1.38155i
\(155\) −18.3304 + 11.7120i −1.47234 + 0.940729i
\(156\) −10.6772 3.76723i −0.854863 0.301620i
\(157\) −4.81242 −0.384073 −0.192036 0.981388i \(-0.561509\pi\)
−0.192036 + 0.981388i \(0.561509\pi\)
\(158\) −3.26377 13.8982i −0.259651 1.10568i
\(159\) −3.22415 6.57122i −0.255692 0.521132i
\(160\) −2.05428 + 12.4812i −0.162405 + 0.986724i
\(161\) 2.71444 + 3.73611i 0.213928 + 0.294447i
\(162\) 5.92720 + 11.2636i 0.465685 + 0.884951i
\(163\) 5.99998 8.25827i 0.469955 0.646837i −0.506581 0.862192i \(-0.669091\pi\)
0.976536 + 0.215355i \(0.0690909\pi\)
\(164\) 10.8880 + 21.9040i 0.850213 + 1.71042i
\(165\) −13.6124 + 1.12172i −1.05972 + 0.0873257i
\(166\) 13.9107 16.1245i 1.07968 1.25150i
\(167\) 0.965785 + 2.97238i 0.0747347 + 0.230010i 0.981445 0.191745i \(-0.0614145\pi\)
−0.906710 + 0.421754i \(0.861415\pi\)
\(168\) −12.2741 + 13.5275i −0.946964 + 1.04367i
\(169\) −0.716006 2.20364i −0.0550774 0.169511i
\(170\) 5.63957 + 2.77605i 0.432535 + 0.212913i
\(171\) −2.67178 9.15485i −0.204316 0.700089i
\(172\) −9.01199 4.70515i −0.687158 0.358764i
\(173\) −4.83491 6.65468i −0.367591 0.505946i 0.584653 0.811283i \(-0.301231\pi\)
−0.952244 + 0.305338i \(0.901231\pi\)
\(174\) −3.78678 + 5.90991i −0.287075 + 0.448029i
\(175\) −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
\(178\) 1.73982 4.14199i 0.130405 0.310455i
\(179\) 2.04563 6.29581i 0.152898 0.470571i −0.845044 0.534697i \(-0.820426\pi\)
0.997942 + 0.0641256i \(0.0204258\pi\)
\(180\) −12.9759 3.40984i −0.967164 0.254154i
\(181\) 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
\(184\) −2.69748 + 2.23524i −0.198861 + 0.164784i
\(185\) −7.63645 2.99638i −0.561443 0.220298i
\(186\) −1.39254 23.7880i −0.102106 1.74422i
\(187\) −4.12038 + 5.67121i −0.301312 + 0.414720i
\(188\) 2.82430 + 2.88096i 0.205983 + 0.210116i
\(189\) −13.0650 14.3058i −0.950339 1.04060i
\(190\) 9.01914 + 4.43963i 0.654317 + 0.322085i
\(191\) −6.72260 4.88425i −0.486430 0.353412i 0.317380 0.948299i \(-0.397197\pi\)
−0.803810 + 0.594886i \(0.797197\pi\)
\(192\) −10.8332 8.63949i −0.781822 0.623501i
\(193\) −22.5549 −1.62354 −0.811768 0.583981i \(-0.801494\pi\)
−0.811768 + 0.583981i \(0.801494\pi\)
\(194\) −3.35946 + 0.788914i −0.241195 + 0.0566407i
\(195\) 4.88729 + 11.6773i 0.349986 + 0.836227i
\(196\) 6.38863 12.2364i 0.456331 0.874032i
\(197\) 14.3446 + 4.66083i 1.02201 + 0.332070i 0.771626 0.636077i \(-0.219444\pi\)
0.250382 + 0.968147i \(0.419444\pi\)
\(198\) 6.20827 13.6134i 0.441203 0.967460i
\(199\) 2.42902i 0.172189i −0.996287 0.0860944i \(-0.972561\pi\)
0.996287 0.0860944i \(-0.0274387\pi\)
\(200\) 11.8876 7.66060i 0.840581 0.541686i
\(201\) −22.1835 11.7283i −1.56470 0.827253i
\(202\) 13.1394 7.96236i 0.924484 0.560229i
\(203\) 3.30157 10.1612i 0.231725 0.713176i
\(204\) −5.67024 + 3.90663i −0.396996 + 0.273519i
\(205\) 9.98936 25.4585i 0.697687 1.77810i
\(206\) 4.01601 + 17.1015i 0.279809 + 1.19152i
\(207\) −2.09229 3.07069i −0.145424 0.213428i
\(208\) −0.259662 + 13.0713i −0.0180043 + 0.906334i
\(209\) −6.58956 + 9.06975i −0.455809 + 0.627368i
\(210\) 20.4220 + 0.0262820i 1.40925 + 0.00181363i
\(211\) 12.6279 + 17.3808i 0.869338 + 1.19654i 0.979261 + 0.202601i \(0.0649395\pi\)
−0.109923 + 0.993940i \(0.535061\pi\)
\(212\) −6.03546 + 5.91676i −0.414517 + 0.406365i
\(213\) −8.28662 + 4.06581i −0.567790 + 0.278585i
\(214\) −2.97895 4.91583i −0.203637 0.336039i
\(215\) 2.86049 + 11.0005i 0.195084 + 0.750227i
\(216\) 10.2000 10.5811i 0.694021 0.719955i
\(217\) 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
\(220\) 6.16419 + 14.5170i 0.415590 + 0.978736i
\(221\) 6.17891 + 2.00765i 0.415639 + 0.135049i
\(222\) 6.94892 5.69781i 0.466381 0.382412i
\(223\) −7.58971 10.4463i −0.508245 0.699539i 0.475377 0.879782i \(-0.342312\pi\)
−0.983622 + 0.180243i \(0.942312\pi\)
\(224\) 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 0.101878 0.994797i \(-0.467515\pi\)
0.977590 + 0.210517i \(0.0675148\pi\)
\(228\) −9.06820 + 6.24773i −0.600556 + 0.413766i
\(229\) 6.62251 20.3820i 0.437628 1.34688i −0.452742 0.891641i \(-0.649554\pi\)
0.890370 0.455238i \(-0.150446\pi\)
\(230\) 3.87662 + 0.559216i 0.255617 + 0.0368736i
\(231\) −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 \(0.256768\pi\)
\(234\) −13.7774 1.57339i −0.900659 0.102856i
\(235\) 0.269394 4.50257i 0.0175733 0.293715i
\(236\) 5.59262 2.77997i 0.364048 0.180961i
\(237\) −7.70179 15.6972i −0.500285 1.01964i
\(238\) 6.84650 7.93609i 0.443793 0.514420i
\(239\) 14.7591 10.7231i 0.954690 0.693623i 0.00277843 0.999996i \(-0.499116\pi\)
0.951911 + 0.306373i \(0.0991156\pi\)
\(240\) 0.965390 + 15.4618i 0.0623157 + 0.998056i
\(241\) 2.25312 + 1.63699i 0.145136 + 0.105448i 0.657984 0.753032i \(-0.271409\pi\)
−0.512848 + 0.858480i \(0.671409\pi\)
\(242\) −1.97845 + 0.464605i −0.127179 + 0.0298660i
\(243\) 10.1598 + 11.8228i 0.651752 + 0.758432i
\(244\) 2.77586 + 18.7280i 0.177706 + 1.19894i
\(245\) −14.9364 + 3.88397i −0.954252 + 0.248137i
\(246\) 18.9954 + 23.1664i 1.21110 + 1.47703i
\(247\) 9.88170 + 3.21076i 0.628757 + 0.204296i
\(248\) −25.5747 + 10.1497i −1.62399 + 0.644508i
\(249\) 12.1904 23.0575i 0.772537 1.46121i
\(250\) −15.2686 4.10734i −0.965670 0.259771i
\(251\) 11.1014 0.700715 0.350358 0.936616i \(-0.386060\pi\)
0.350358 + 0.936616i \(0.386060\pi\)
\(252\) −10.9479 + 19.5093i −0.689652 + 1.22897i
\(253\) −1.34979 + 4.15422i −0.0848605 + 0.261174i
\(254\) 1.38922 3.30733i 0.0871674 0.207520i
\(255\) 7.49234 + 1.76963i 0.469189 + 0.110818i
\(256\) −5.54470 + 15.0085i −0.346544 + 0.938034i
\(257\) 20.4641i 1.27652i 0.769823 + 0.638258i \(0.220345\pi\)
−0.769823 + 0.638258i \(0.779655\pi\)
\(258\) −12.0464 3.14902i −0.749975 0.196049i
\(259\) −8.04004 + 11.0662i −0.499584 + 0.687618i
\(260\) 11.0305 9.59102i 0.684081 0.594810i
\(261\) −2.90215 + 8.09182i −0.179638 + 0.500871i
\(262\) 13.1483 15.2408i 0.812304 0.941578i
\(263\) −5.35509 3.89070i −0.330209 0.239911i 0.410310 0.911946i \(-0.365420\pi\)
−0.740519 + 0.672035i \(0.765420\pi\)
\(264\) −17.1752 1.87151i −1.05706 0.115184i
\(265\) 9.43266 + 0.564366i 0.579443 + 0.0346688i
\(266\) 10.9494 12.6919i 0.671348 0.778189i
\(267\) 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 \(0.504191\pi\)
\(270\) −16.4235 0.517340i −0.999504 0.0314843i
\(271\) 13.0599 + 4.24343i 0.793335 + 0.257770i 0.677523 0.735501i \(-0.263053\pi\)
0.115811 + 0.993271i \(0.463053\pi\)
\(272\) 6.33838 + 4.80029i 0.384321 + 0.291061i
\(273\) 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
\(276\) −2.60803 + 3.40694i −0.156985 + 0.205074i
\(277\) −2.80357 + 2.03691i −0.168450 + 0.122386i −0.668816 0.743428i \(-0.733199\pi\)
0.500366 + 0.865814i \(0.333199\pi\)
\(278\) 9.59444 22.8416i 0.575436 1.36995i
\(279\) −8.17612 28.0155i −0.489491 1.67724i
\(280\) −7.37404 22.3987i −0.440683 1.33858i
\(281\) 11.6216 3.77609i 0.693286 0.225262i 0.0588833 0.998265i \(-0.481246\pi\)
0.634403 + 0.773003i \(0.281246\pi\)
\(282\) 4.16036 + 2.66576i 0.247746 + 0.158743i
\(283\) −18.0203 + 5.85515i −1.07120 + 0.348053i −0.790953 0.611876i \(-0.790415\pi\)
−0.280243 + 0.959929i \(0.590415\pi\)
\(284\) 7.46131 + 7.61101i 0.442748 + 0.451630i
\(285\) 11.9822 + 2.83010i 0.709765 + 0.167640i
\(286\) 8.44822 + 13.9412i 0.499554 + 0.824358i
\(287\) −36.8925 26.8039i −2.17769 1.58219i
\(288\) −15.2978 7.34690i −0.901432 0.432920i
\(289\) −10.5568 + 7.66994i −0.620986 + 0.451173i
\(290\) −4.22498 8.01627i −0.248099 0.470732i
\(291\) −3.79431 + 1.86167i −0.222426 + 0.109133i
\(292\) −2.03988 13.7625i −0.119375 0.805391i
\(293\) 3.61826i 0.211381i −0.994399 0.105690i \(-0.966295\pi\)
0.994399 0.105690i \(-0.0337053\pi\)
\(294\) 4.27572 16.3565i 0.249365 0.953932i
\(295\) −6.50014 2.55052i −0.378453 0.148497i
\(296\) −8.76560 5.55285i −0.509490 0.322753i
\(297\) 3.68338 17.9508i 0.213731 1.04161i
\(298\) −1.17948 + 0.714756i −0.0683256 + 0.0414047i
\(299\) 4.04828 0.234118
\(300\) 12.0931 12.3999i 0.698193 0.715909i
\(301\) 18.9527 1.09242
\(302\) −21.5256 + 13.0443i −1.23866 + 0.750618i
\(303\) 13.5047 13.1029i 0.775827 0.752742i
\(304\) 10.1367 + 7.67693i 0.581381 + 0.440302i
\(305\) 13.4424 16.3511i 0.769708 0.936259i
\(306\) −5.69906 + 6.21617i −0.325794 + 0.355355i
\(307\) 9.93345i 0.566932i 0.958982 + 0.283466i \(0.0914843\pi\)
−0.958982 + 0.283466i \(0.908516\pi\)
\(308\) 26.0140 3.85578i 1.48228 0.219704i
\(309\) 9.47692 + 19.3151i 0.539123 + 1.09880i
\(310\) 27.6002 + 13.5861i 1.56758 + 0.771636i
\(311\) −15.5100 + 11.2687i −0.879494 + 0.638990i −0.933117 0.359572i \(-0.882923\pi\)
0.0536238 + 0.998561i \(0.482923\pi\)
\(312\) 3.26930 + 15.6749i 0.185088 + 0.887417i
\(313\) 9.58416 + 6.96330i 0.541729 + 0.393589i 0.824727 0.565532i \(-0.191329\pi\)
−0.282998 + 0.959120i \(0.591329\pi\)
\(314\) 3.52716 + 5.82048i 0.199049 + 0.328468i
\(315\) 24.3857 5.56069i 1.37398 0.313309i
\(316\) −14.4174 + 14.1338i −0.811042 + 0.795090i
\(317\) −17.6980 + 5.75042i −0.994017 + 0.322976i −0.760472 0.649370i \(-0.775033\pi\)
−0.233545 + 0.972346i \(0.575033\pi\)
\(318\) −5.58462 + 8.71575i −0.313170 + 0.488755i
\(319\) 9.61093 3.12278i 0.538109 0.174842i
\(320\) 16.6013 6.66322i 0.928038 0.372485i
\(321\) −4.90218 5.05252i −0.273613 0.282004i
\(322\) 2.52922 6.02134i 0.140948 0.335556i
\(323\) 5.11207 3.71414i 0.284443 0.206660i
\(324\) 9.27876 15.4242i 0.515486 0.856898i
\(325\) −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
\(328\) 18.5121 29.2228i 1.02216 1.61356i
\(329\) −7.15311 2.32419i −0.394364 0.128137i
\(330\) 11.3336 + 15.6416i 0.623893 + 0.861044i
\(331\) −12.9742 + 4.21557i −0.713125 + 0.231709i −0.643040 0.765832i \(-0.722327\pi\)
−0.0700853 + 0.997541i \(0.522327\pi\)
\(332\) −29.6976 5.00645i −1.62986 0.274764i
\(333\) 6.73500 8.70450i 0.369076 0.477004i
\(334\) 2.88715 3.34663i 0.157978 0.183119i
\(335\) 27.2986 17.4421i 1.49148 0.952961i
\(336\) 25.3571 + 4.93042i 1.38334 + 0.268977i
\(337\) 8.98416 + 6.52737i 0.489398 + 0.355569i 0.804953 0.593339i \(-0.202191\pi\)
−0.315555 + 0.948907i \(0.602191\pi\)
\(338\) −2.14045 + 2.48110i −0.116425 + 0.134954i
\(339\) −21.8634 + 3.12516i −1.18746 + 0.169736i
\(340\) −0.775848 8.85553i −0.0420763 0.480259i
\(341\) −20.1652 + 27.7550i −1.09201 + 1.50302i
\(342\) −9.11429 + 9.94128i −0.492845 + 0.537563i
\(343\) 0.365751i 0.0197487i
\(344\) 0.914402 + 14.3483i 0.0493013 + 0.773607i
\(345\) 4.78081 0.393959i 0.257390 0.0212100i
\(346\) −4.50499 + 10.7251i −0.242190 + 0.576583i
\(347\) −9.64726 + 29.6912i −0.517892 + 1.59391i 0.260065 + 0.965591i \(0.416256\pi\)
−0.777957 + 0.628317i \(0.783744\pi\)
\(348\) 9.92329 + 0.248456i 0.531944 + 0.0133187i
\(349\) −29.9971 −1.60571 −0.802854 0.596176i \(-0.796686\pi\)
−0.802854 + 0.596176i \(0.796686\pi\)
\(350\) −13.0356 + 22.9165i −0.696782 + 1.22494i
\(351\) −16.8775 + 1.89440i −0.900856 + 0.101115i
\(352\) 4.17412 + 19.5080i 0.222482 + 1.03978i
\(353\) −11.6343 3.78021i −0.619231 0.201200i −0.0174322 0.999848i \(-0.505549\pi\)
−0.601799 + 0.798648i \(0.705549\pi\)
\(354\) 5.91491 4.84997i 0.314374 0.257773i
\(355\) 0.711693 11.8950i 0.0377728 0.631323i
\(356\) −6.28477 + 0.931528i −0.333092 + 0.0493709i
\(357\) 5.99985 11.3484i 0.317546 0.600620i
\(358\) −9.11390 + 2.14025i −0.481684 + 0.113115i
\(359\) 18.1287 + 13.1713i 0.956796 + 0.695153i 0.952404 0.304837i \(-0.0986020\pi\)
0.00439181 + 0.999990i \(0.498602\pi\)
\(360\) 5.38627 + 18.1931i 0.283882 + 0.958859i
\(361\) −7.19578 + 5.22804i −0.378725 + 0.275160i
\(362\) 9.44314 10.9460i 0.496320 0.575307i
\(363\) −2.23453 + 1.09637i −0.117283 + 0.0575444i
\(364\) −10.8490 21.8255i −0.568642 1.14397i
\(365\) −9.87831 + 12.0158i −0.517055 + 0.628935i
\(366\) 8.44187 + 21.5963i 0.441264 + 1.12886i
\(367\) −3.66107 + 1.18955i −0.191106 + 0.0620941i −0.403006 0.915197i \(-0.632035\pi\)
0.211900 + 0.977291i \(0.432035\pi\)
\(368\) 4.68051 + 1.62425i 0.243989 + 0.0846700i
\(369\) 29.0191 + 22.4532i 1.51068 + 1.16887i
\(370\) 1.97294 + 11.4322i 0.102568 + 0.594331i
\(371\) 4.86905 14.9854i 0.252789 0.778003i
\(372\) −27.7503 + 19.1192i −1.43878 + 0.991282i
\(373\) −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
\(378\) −7.72679 + 26.2869i −0.397423 + 1.35205i
\(379\) −18.4435 5.99265i −0.947377 0.307822i −0.205728 0.978609i \(-0.565956\pi\)
−0.741649 + 0.670788i \(0.765956\pi\)
\(380\) −1.24078 14.1623i −0.0636509 0.726511i
\(381\) 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 0.886525 0.462681i \(-0.153112\pi\)
−0.989171 + 0.146769i \(0.953112\pi\)
\(384\) −2.50921 + 19.4346i −0.128048 + 0.991768i
\(385\) −22.7123 18.6720i −1.15753 0.951614i
\(386\) 16.5311 + 27.2794i 0.841410 + 1.38849i
\(387\) −15.2426 0.460504i −0.774823 0.0234087i
\(388\) 3.41641 + 3.48495i 0.173442 + 0.176922i
\(389\) 15.1483 + 20.8499i 0.768050 + 1.05713i 0.996502 + 0.0835748i \(0.0266337\pi\)
−0.228452 + 0.973555i \(0.573366\pi\)
\(390\) 10.5413 14.4696i 0.533778 0.732698i
\(391\) 1.44712 1.99179i 0.0731839 0.100729i
\(392\) −19.4820 + 1.24157i −0.983990 + 0.0627088i
\(393\) 11.5223 21.7939i 0.581225 1.09936i
\(394\) −4.87640 20.7654i −0.245669 1.04614i
\(395\) 22.5325 + 1.34815i 1.13374 + 0.0678327i
\(396\) −21.0152 + 2.46890i −1.05605 + 0.124067i
\(397\) 0.244560 0.752678i 0.0122741 0.0377758i −0.944732 0.327844i \(-0.893678\pi\)
0.957006 + 0.290068i \(0.0936780\pi\)
\(398\) −2.93783 + 1.78030i −0.147260 + 0.0892383i
\(399\) 9.59533 18.1490i 0.480367 0.908589i
\(400\) −17.9780 8.76303i −0.898901 0.438152i
\(401\) 0.428760i 0.0214112i 0.999943 + 0.0107056i \(0.00340777\pi\)
−0.999943 + 0.0107056i \(0.996592\pi\)
\(402\) 2.07384 + 35.4263i 0.103434 + 1.76690i
\(403\) 30.2397 + 9.82549i 1.50635 + 0.489442i
\(404\) −19.2605 10.0559i −0.958243 0.500298i
\(405\) −19.7471 + 3.87962i −0.981242 + 0.192780i
\(406\) −14.7095 + 3.45427i −0.730018 + 0.171432i
\(407\) −12.9378 −0.641303
\(408\) 8.88083 + 3.99470i 0.439667 + 0.197767i
\(409\) −1.76803 1.28455i −0.0874236 0.0635169i 0.543215 0.839594i \(-0.317207\pi\)
−0.630638 + 0.776077i \(0.717207\pi\)
\(410\) −38.1127 + 6.57739i −1.88225 + 0.324834i
\(411\) 8.36420 1.19558i 0.412576 0.0589736i
\(412\) 17.7403 17.3914i 0.874004 0.856815i
\(413\) −6.84367 + 9.41951i −0.336755 + 0.463504i
\(414\) −2.18041 + 4.78115i −0.107161 + 0.234981i
\(415\) 18.1293 + 28.3741i 0.889931 + 1.39283i
\(416\) 15.9997 9.26629i 0.784450 0.454317i
\(417\) 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 \(-0.819403\pi\)
0.366381 0.930465i \(-0.380597\pi\)
\(420\) −14.9360 24.7190i −0.728804 1.20616i
\(421\) 9.48522 29.1925i 0.462281 1.42276i −0.400088 0.916477i \(-0.631020\pi\)
0.862370 0.506279i \(-0.168980\pi\)
\(422\) 11.7662 28.0119i 0.572769 1.36360i
\(423\) 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
\(426\) 10.9910 + 7.04247i 0.532514 + 0.341209i
\(427\) −20.7461 28.5545i −1.00397 1.38185i
\(428\) −3.76219 + 7.20590i −0.181852 + 0.348310i
\(429\) 13.9024 + 14.3288i 0.671216 + 0.691801i
\(430\) 11.2082 11.5222i 0.540508 0.555652i
\(431\) 7.88093 + 24.2550i 0.379611 + 1.16832i 0.940315 + 0.340306i \(0.110531\pi\)
−0.560703 + 0.828017i \(0.689469\pi\)
\(432\) −20.2734 4.58136i −0.975405 0.220421i
\(433\) 0.154154 + 0.474436i 0.00740816 + 0.0228000i 0.954692 0.297595i \(-0.0961844\pi\)
−0.947284 + 0.320395i \(0.896184\pi\)
\(434\) 33.5069 38.8394i 1.60838 1.86435i
\(435\) −7.23860 8.41245i −0.347064 0.403346i
\(436\) −12.9762 + 6.45019i −0.621448 + 0.308908i
\(437\) 2.31432 3.18539i 0.110709 0.152378i
\(438\) −6.20363 15.8703i −0.296421 0.758314i
\(439\) −22.1168 30.4412i −1.05558 1.45288i −0.883872 0.467729i \(-0.845072\pi\)
−0.171705 0.985148i \(-0.554928\pi\)
\(440\) 13.0400 18.0953i 0.621656 0.862661i
\(441\) 0.625270 20.6963i 0.0297748 0.985537i
\(442\) −2.10050 8.94467i −0.0999108 0.425455i
\(443\) −0.491915 −0.0233716 −0.0116858 0.999932i \(-0.503720\pi\)
−0.0116858 + 0.999932i \(0.503720\pi\)
\(444\) −11.9844 4.22842i −0.568753 0.200672i
\(445\) 5.48711 + 4.51101i 0.260114 + 0.213843i
\(446\) −7.07182 + 16.8359i −0.334860 + 0.797205i
\(447\) −1.21228 + 1.17621i −0.0573389 + 0.0556327i
\(448\) −3.78647 29.5869i −0.178894 1.39785i
\(449\) 10.9779i 0.518081i 0.965866 + 0.259040i \(0.0834063\pi\)
−0.965866 + 0.259040i \(0.916594\pi\)
\(450\) 11.0406 18.1137i 0.520458 0.853887i
\(451\) 43.1322i 2.03101i
\(452\) 11.3516 + 22.8366i 0.533934 + 1.07414i
\(453\) −22.1242 + 21.4659i −1.03948 + 1.00855i
\(454\) −26.2117 11.0101i −1.23018 0.516728i
\(455\) −9.95355 + 25.3672i −0.466629 + 1.18923i
\(456\) 14.2028 + 6.38857i 0.665106 + 0.299172i
\(457\) 11.4440 0.535328 0.267664 0.963512i \(-0.413748\pi\)
0.267664 + 0.963512i \(0.413748\pi\)
\(458\) −29.5052 + 6.92880i −1.37869 + 0.323762i
\(459\) −5.10106 + 8.98105i −0.238097 + 0.419200i
\(460\) −2.16493 5.09851i −0.100940 0.237719i
\(461\) −20.3963 28.0731i −0.949950 1.30749i −0.951550 0.307495i \(-0.900509\pi\)
0.00160016 0.999999i \(-0.499491\pi\)
\(462\) 29.9981 11.7261i 1.39564 0.545548i
\(463\) −1.65458 + 2.27734i −0.0768950 + 0.105837i −0.845732 0.533608i \(-0.820836\pi\)
0.768837 + 0.639445i \(0.220836\pi\)
\(464\) −3.32475 10.9692i −0.154348 0.509233i
\(465\) 36.6677 + 8.66060i 1.70042 + 0.401626i
\(466\) −14.2184 12.2663i −0.658656 0.568226i
\(467\) 12.0315 + 37.0291i 0.556751 + 1.71350i 0.691275 + 0.722592i \(0.257049\pi\)
−0.134524 + 0.990910i \(0.542951\pi\)
\(468\) 8.19490 + 17.8166i 0.378809 + 0.823571i
\(469\) −16.6922 51.3732i −0.770772 2.37219i
\(470\) −5.64317 + 2.97424i −0.260300 + 0.137191i
\(471\) 5.80431 + 5.98232i 0.267449 + 0.275651i
\(472\) −7.46127 4.72658i −0.343433 0.217559i
\(473\) 10.5369 + 14.5028i 0.484486 + 0.666838i
\(474\) −13.3404 + 20.8200i −0.612746 + 0.956295i
\(475\) −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
\(478\) −23.7867 9.99145i −1.08798 0.456998i
\(479\) −7.46967 + 22.9893i −0.341298 + 1.05041i 0.622238 + 0.782828i \(0.286224\pi\)
−0.963536 + 0.267579i \(0.913776\pi\)
\(480\) 17.9930 12.5000i 0.821266 0.570545i
\(481\) 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
\(484\) 2.01199 + 2.05235i 0.0914539 + 0.0932887i
\(485\) 0.325873 5.44654i 0.0147971 0.247315i
\(486\) 6.85290 20.9532i 0.310854 0.950458i
\(487\) −13.4284 + 18.4826i −0.608499 + 0.837527i −0.996453 0.0841514i \(-0.973182\pi\)
0.387954 + 0.921679i \(0.373182\pi\)
\(488\) 20.6164 17.0836i 0.933263 0.773338i
\(489\) −17.5025 + 2.50181i −0.791490 + 0.113136i
\(490\) 15.6448 + 15.2185i 0.706762 + 0.687500i
\(491\) −7.17720 5.21454i −0.323903 0.235329i 0.413936 0.910306i \(-0.364154\pi\)
−0.737839 + 0.674977i \(0.764154\pi\)
\(492\) 14.0967 39.9536i 0.635530 1.80125i
\(493\) −5.69588 −0.256530
\(494\) −3.35926 14.3049i −0.151140 0.643606i
\(495\) 17.8125 + 15.5686i 0.800611 + 0.699758i
\(496\) 31.0202 + 23.4928i 1.39285 + 1.05486i
\(497\) −18.8973 6.14011i −0.847660 0.275422i
\(498\) −36.8221 + 2.15555i −1.65004 + 0.0965927i
\(499\) 7.10021i 0.317849i 0.987291 + 0.158925i \(0.0508027\pi\)
−0.987291 + 0.158925i \(0.949197\pi\)
\(500\) 6.22307 + 21.4773i 0.278304 + 0.960493i
\(501\) 2.53012 4.78558i 0.113037 0.213804i
\(502\) −8.13654 13.4268i −0.363151 0.599269i
\(503\) 3.16395 9.73764i 0.141074 0.434180i −0.855412 0.517949i \(-0.826696\pi\)
0.996485 + 0.0837689i \(0.0266957\pi\)
\(504\) 31.6199 1.05778i 1.40846 0.0471172i
\(505\) 6.11345 + 23.5103i 0.272045 + 1.04619i
\(506\) 6.01370 1.41222i 0.267342 0.0627807i
\(507\) −1.87576 + 3.54790i −0.0833055 + 0.157568i
\(508\) −5.01831 + 0.743813i −0.222652 + 0.0330014i
\(509\) 18.1736 25.0138i 0.805531 1.10872i −0.186466 0.982461i \(-0.559703\pi\)
0.991998 0.126257i \(-0.0402965\pi\)
\(510\) −3.35104 10.3588i −0.148386 0.458694i
\(511\) 15.2455 + 20.9837i 0.674423 + 0.928264i
\(512\) 22.2162 4.29403i 0.981828 0.189771i
\(513\) −8.15793 + 14.3631i −0.360181 + 0.634144i
\(514\) 24.7507 14.9987i 1.09171 0.661565i
\(515\) −27.7259 1.65887i −1.22175 0.0730986i
\(516\) 5.02049 + 16.8777i 0.221015 + 0.743001i
\(517\) −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
\(520\) −19.6846 6.31151i −0.863226 0.276778i
\(521\) 10.0963 + 3.28050i 0.442329 + 0.143721i 0.521710 0.853123i \(-0.325294\pi\)
−0.0793809 + 0.996844i \(0.525294\pi\)
\(522\) 11.9139 2.42066i 0.521456 0.105949i
\(523\) 8.14789 + 11.2146i 0.356282 + 0.490381i 0.949108 0.314950i \(-0.101988\pi\)
−0.592826 + 0.805331i \(0.701988\pi\)
\(524\) −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
\(528\) 10.3246 + 22.1445i 0.449321 + 0.963716i
\(529\) −6.63333 + 20.4153i −0.288406 + 0.887622i
\(530\) −6.23087 11.8221i −0.270652 0.513521i
\(531\) 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
\(534\) −7.24732 + 2.83294i −0.313622 + 0.122593i
\(535\) 8.79588 2.28722i 0.380279 0.0988852i
\(536\) 38.0870 15.1155i 1.64511 0.652889i
\(537\) −10.2936 + 5.05052i −0.444201 + 0.217946i
\(538\) 11.2931 + 9.74262i 0.486880 + 0.420034i
\(539\) −19.6918 + 14.3069i −0.848185 + 0.616242i
\(540\) 11.4116 + 20.2429i 0.491075 + 0.871117i
\(541\) 26.1598 + 19.0062i 1.12470 + 0.817140i 0.984914 0.173042i \(-0.0553597\pi\)
0.139782 + 0.990182i \(0.455360\pi\)
\(542\) −4.43969 18.9057i −0.190701 0.812070i
\(543\) 8.27538 15.6524i 0.355130 0.671710i
\(544\) 1.16024 11.1843i 0.0497447 0.479525i
\(545\) 15.0819 + 5.91781i 0.646037 + 0.253491i
\(546\) −18.9273 23.0833i −0.810013 0.987874i
\(547\) 6.72237 + 2.18423i 0.287428 + 0.0933910i 0.449182 0.893440i \(-0.351715\pi\)
−0.161755 + 0.986831i \(0.551715\pi\)
\(548\) −4.34273 8.73650i −0.185512 0.373205i
\(549\) 15.9910 + 23.4688i 0.682481 + 1.00162i
\(550\) −24.7831 + 2.76564i −1.05676 + 0.117927i
\(551\) −9.10920 −0.388065
\(552\) 6.03209 + 0.657293i 0.256743 + 0.0279762i
\(553\) 11.6311 35.7968i 0.494605 1.52224i
\(554\) 4.51840 + 1.89792i 0.191968 + 0.0806350i
\(555\) 5.48561 + 13.1068i 0.232851 + 0.556354i
\(556\) −34.6582 + 5.13703i −1.46984 + 0.217859i
\(557\) 15.5161i 0.657438i −0.944428 0.328719i \(-0.893383\pi\)
0.944428 0.328719i \(-0.106617\pi\)
\(558\) −27.8913 + 30.4221i −1.18073 + 1.28787i
\(559\) 9.76560 13.4412i 0.413041 0.568502i
\(560\) −21.6858 + 25.3353i −0.916394 + 1.07061i
\(561\) 12.0195 1.71807i 0.507464 0.0725370i
\(562\) −13.0849 11.2884i −0.551951 0.476171i
\(563\) −15.7275 11.4267i −0.662834 0.481577i 0.204785 0.978807i \(-0.434350\pi\)
−0.867619 + 0.497230i \(0.834350\pi\)
\(564\) 0.174904 6.98564i 0.00736480 0.294149i
\(565\) 10.4147 26.5424i 0.438148 1.11665i
\(566\) 20.2892 + 17.5036i 0.852820 + 0.735732i
\(567\) −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 \(0.560580\pi\)
\(570\) −5.35918 16.5664i −0.224471 0.693889i
\(571\) −6.39705 2.07853i −0.267708 0.0869837i 0.172087 0.985082i \(-0.444949\pi\)
−0.439795 + 0.898098i \(0.644949\pi\)
\(572\) 10.6695 20.4357i 0.446113 0.854461i
\(573\) 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
\(576\) 2.32635 + 23.8870i 0.0969311 + 0.995291i
\(577\) −13.2129 + 9.59973i −0.550060 + 0.399642i −0.827808 0.561012i \(-0.810412\pi\)
0.277748 + 0.960654i \(0.410412\pi\)
\(578\) 17.0139 + 7.14658i 0.707685 + 0.297258i
\(579\) 27.2037 + 28.0380i 1.13055 + 1.16522i
\(580\) −6.59883 + 10.9853i −0.274002 + 0.456141i
\(581\) 53.3973 17.3498i 2.21529 0.719792i
\(582\) 5.03258 + 3.22463i 0.208607 + 0.133665i
\(583\) 14.1739 4.60538i 0.587023 0.190735i
\(584\) −15.1503 + 12.5541i −0.626923 + 0.519493i
\(585\) 8.62141 20.1595i 0.356451 0.833492i
\(586\) −4.37617 + 2.65192i −0.180778 + 0.109550i
\(587\) 7.11997 + 5.17296i 0.293872 + 0.213511i 0.724946 0.688806i \(-0.241865\pi\)
−0.431073 + 0.902317i \(0.641865\pi\)
\(588\) −22.9165 + 6.81679i −0.945061 + 0.281120i
\(589\) 25.0186 18.1771i 1.03087 0.748973i
\(590\) 1.67936 + 9.73107i 0.0691382 + 0.400622i
\(591\) −11.5073 23.4532i −0.473345 0.964736i
\(592\) −0.291451 + 14.6716i −0.0119785 + 0.602998i
\(593\) 23.8066i 0.977622i 0.872390 + 0.488811i \(0.162569\pi\)
−0.872390 + 0.488811i \(0.837431\pi\)
\(594\) −24.4106 + 8.70173i −1.00158 + 0.357036i
\(595\) 8.92281 + 13.9651i 0.365800 + 0.572513i
\(596\) 1.72895 + 0.902684i 0.0708206 + 0.0369754i
\(597\) −3.01952 + 2.92967i −0.123581 + 0.119903i
\(598\) −2.96710 4.89627i −0.121334 0.200224i
\(599\) −16.6142 −0.678837 −0.339419 0.940635i \(-0.610230\pi\)
−0.339419 + 0.940635i \(0.610230\pi\)
\(600\) −23.8607 5.53795i −0.974107 0.226086i
\(601\) 1.87047 0.0762980 0.0381490 0.999272i \(-0.487854\pi\)
0.0381490 + 0.999272i \(0.487854\pi\)
\(602\) −13.8910 22.9227i −0.566154 0.934262i
\(603\) 12.1763 + 41.7220i 0.495856 + 1.69905i
\(604\) 31.5535 + 16.4740i 1.28389 + 0.670319i
\(605\) 0.191912 3.20756i 0.00780234 0.130406i
\(606\) −25.7456 6.73009i −1.04584 0.273391i
\(607\) 3.55849i 0.144434i −0.997389 0.0722172i \(-0.976993\pi\)
0.997389 0.0722172i \(-0.0230075\pi\)
\(608\) 1.85552 17.8867i 0.0752513 0.725401i
\(609\) −16.6134 + 8.15134i −0.673210 + 0.330309i
\(610\) −29.6284 4.27400i −1.19962 0.173049i
\(611\) −5.33403 + 3.87540i −0.215792 + 0.156782i
\(612\) 11.6953 + 2.33684i 0.472753 + 0.0944611i
\(613\) −13.2664 9.63859i −0.535824 0.389299i 0.286708 0.958018i \(-0.407439\pi\)
−0.822532 + 0.568719i \(0.807439\pi\)
\(614\) 12.0142 7.28050i 0.484854 0.293817i
\(615\) −43.6957 + 18.2880i −1.76198 + 0.737442i
\(616\) −23.7298 28.6371i −0.956102 1.15382i
\(617\) −20.4200 + 6.63486i −0.822078 + 0.267109i −0.689705 0.724090i \(-0.742260\pi\)
−0.132373 + 0.991200i \(0.542260\pi\)
\(618\) 16.4152 25.6187i 0.660315 1.03053i
\(619\) −5.10918 + 1.66007i −0.205355 + 0.0667240i −0.409889 0.912136i \(-0.634432\pi\)
0.204533 + 0.978860i \(0.434432\pi\)
\(620\) −3.79702 43.3392i −0.152492 1.74054i
\(621\) −1.29364 + 6.30451i −0.0519120 + 0.252991i
\(622\) 24.9969 + 10.4998i 1.00228 + 0.421003i
\(623\) 9.58238 6.96200i 0.383910 0.278927i
\(624\) 16.5622 15.4427i 0.663017 0.618203i
\(625\) 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
\(628\) 4.45454 8.53198i 0.177755 0.340463i
\(629\) 6.93535 + 2.25343i 0.276531 + 0.0898502i
\(630\) −24.5985 25.4182i −0.980027 1.01269i
\(631\) 27.3070 8.87259i 1.08708 0.353212i 0.289960 0.957039i \(-0.406358\pi\)
0.797116 + 0.603827i \(0.206358\pi\)
\(632\) 27.6614 + 7.07832i 1.10031 + 0.281560i
\(633\) 6.37542 36.6608i 0.253400 1.45714i
\(634\) 19.9263 + 17.1905i 0.791374 + 0.682723i
\(635\) 4.38139 + 3.60199i 0.173870 + 0.142940i
\(636\) 14.6346 + 0.366415i 0.580298 + 0.0145293i
\(637\) 18.2504 + 13.2597i 0.723107 + 0.525368i
\(638\) −10.8210 9.33536i −0.428409 0.369590i
\(639\) 15.0488 + 5.39728i 0.595321 + 0.213513i
\(640\) −20.2265 15.1951i −0.799522 0.600637i
\(641\) −21.2586 + 29.2599i −0.839664 + 1.15570i 0.146383 + 0.989228i \(0.453237\pi\)
−0.986047 + 0.166470i \(0.946763\pi\)
\(642\) −2.51792 + 9.63217i −0.0993745 + 0.380151i
\(643\) 28.9777i 1.14277i 0.820683 + 0.571384i \(0.193593\pi\)
−0.820683 + 0.571384i \(0.806407\pi\)
\(644\) −9.13636 + 1.35419i −0.360023 + 0.0533625i
\(645\) 10.2246 16.8237i 0.402594 0.662432i
\(646\) −8.23892 3.46070i −0.324156 0.136159i
\(647\) −1.21180 + 3.72955i −0.0476409 + 0.146624i −0.972047 0.234786i \(-0.924561\pi\)
0.924406 + 0.381409i \(0.124561\pi\)
\(648\) −25.4557 + 0.0824239i −0.999995 + 0.00323792i
\(649\) −11.0126 −0.432284
\(650\) 9.53558 + 21.0528i 0.374016 + 0.825759i
\(651\) 29.3634 55.5393i 1.15084 2.17676i
\(652\) 9.08736 + 18.2815i 0.355889 + 0.715960i
\(653\) 38.0650 + 12.3681i 1.48960 + 0.484001i 0.936965 0.349423i \(-0.113622\pi\)
0.552635 + 0.833423i \(0.313622\pi\)
\(654\) −13.7240 + 11.2531i −0.536651 + 0.440030i
\(655\) 17.1357 + 26.8191i 0.669547 + 1.04791i
\(656\) −48.9122 0.971640i −1.90970 0.0379362i
\(657\) −11.7512 17.2464i −0.458459 0.672845i
\(658\) 2.43168 + 10.3549i 0.0947969 + 0.403677i
\(659\) −26.7703 19.4498i −1.04282 0.757656i −0.0719890 0.997405i \(-0.522935\pi\)
−0.970835 + 0.239750i \(0.922935\pi\)
\(660\) 10.6114 25.1718i 0.413047 0.979812i
\(661\) −5.86281 + 4.25958i −0.228037 + 0.165678i −0.695937 0.718103i \(-0.745011\pi\)
0.467900 + 0.883781i \(0.345011\pi\)
\(662\) 14.6077 + 12.6022i 0.567746 + 0.489797i
\(663\) −4.95674 10.1025i −0.192504 0.392347i
\(664\) 15.7110 + 39.5877i 0.609706 + 1.53630i
\(665\) 14.2699 + 22.3338i 0.553363 + 0.866069i
\(666\) −15.4641 1.76601i −0.599222 0.0684315i
\(667\) −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
\(670\) −41.1035 20.2330i −1.58797 0.781669i
\(671\) 10.3162 31.7501i 0.398254 1.22570i
\(672\) −12.6217 34.2823i −0.486894 1.32247i
\(673\) −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 \(0.608083\pi\)
\(678\) 19.8041 + 24.1527i 0.760573 + 0.927577i
\(679\) −8.65277 2.81145i −0.332063 0.107894i
\(680\) −10.1419 + 7.42883i −0.388922 + 0.284883i
\(681\) −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 \(0.129543\pi\)
−0.510278 + 0.860010i \(0.670457\pi\)
\(684\) 18.7038 + 3.73722i 0.715158 + 0.142896i
\(685\) −3.98429 + 10.1542i −0.152232 + 0.387972i
\(686\) −0.442364 + 0.268069i −0.0168895 + 0.0102349i
\(687\) −33.3243 + 16.3505i −1.27140 + 0.623810i
\(688\) 16.6836 11.6222i 0.636056 0.443092i
\(689\) −8.11875 11.1745i −0.309300 0.425715i
\(690\) −3.98047 5.49350i −0.151534 0.209134i
\(691\) 10.0608 13.8475i 0.382732 0.526785i −0.573574 0.819154i \(-0.694443\pi\)
0.956306 + 0.292369i \(0.0944435\pi\)
\(692\) 16.2735 2.41205i 0.618625 0.0916925i
\(693\) 32.5991 22.2122i 1.23834 0.843772i
\(694\) 42.9814 10.0935i 1.63155 0.383142i
\(695\) 30.2594 + 24.8766i 1.14780 + 0.943622i
\(696\) −6.97255 12.1840i −0.264294 0.461834i
\(697\) −7.51251 + 23.1211i −0.284557 + 0.875775i
\(698\) 21.9857 + 36.2806i 0.832171 + 1.37324i
\(699\) −20.3320 10.7494i −0.769026 0.406581i
\(700\) 37.2710 1.03001i 1.40871 0.0389307i
\(701\) 14.9700i 0.565410i −0.959207 0.282705i \(-0.908768\pi\)
0.959207 0.282705i \(-0.0912318\pi\)
\(702\) 14.6612 + 19.0244i 0.553352 + 0.718030i
\(703\) 11.0914 + 3.60383i 0.418322 + 0.135921i
\(704\) 20.5350 19.3464i 0.773941 0.729146i
\(705\) −5.92207 + 5.09572i −0.223038 + 0.191916i
\(706\) 3.95505 + 16.8420i 0.148850 + 0.633855i
\(707\) 40.5058 1.52338
\(708\) −10.2011 3.59923i −0.383381 0.135267i
\(709\) −4.40902 3.20334i −0.165584 0.120304i 0.501907 0.864922i \(-0.332632\pi\)
−0.667491 + 0.744618i \(0.732632\pi\)
\(710\) −14.9083 + 7.85743i −0.559498 + 0.294884i
\(711\) −10.2240 + 28.5067i −0.383429 + 1.06908i
\(712\) 5.73294 + 6.91850i 0.214851 + 0.259282i
\(713\) 7.08222 9.74785i 0.265231 0.365060i
\(714\) −18.1230 + 1.06091i −0.678236 + 0.0397037i
\(715\) −24.9449 + 6.48650i −0.932885 + 0.242581i
\(716\) 9.26839 + 9.45434i 0.346376 + 0.353325i
\(717\) −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 \(0.00531398\pi\)
−0.799092 + 0.601209i \(0.794686\pi\)
\(720\) 18.0562 19.8487i 0.672916 0.739719i
\(721\) −14.3119 + 44.0474i −0.533002 + 1.64041i
\(722\) 11.5971 + 4.87130i 0.431601 + 0.181291i
\(723\) −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
\(726\) 2.96378 + 1.89904i 0.109996 + 0.0704801i
\(727\) −3.34911 4.60965i −0.124212 0.170962i 0.742383 0.669976i \(-0.233696\pi\)
−0.866594 + 0.499014i \(0.833696\pi\)
\(728\) −18.4458 + 29.1181i −0.683646 + 1.07919i
\(729\) 2.44306 26.8892i 0.0904837 0.995898i
\(730\) 21.7728 + 3.14081i 0.805849 + 0.116247i
\(731\) −3.12232 9.60950i −0.115483 0.355420i
\(732\) 19.9328 26.0387i 0.736737 0.962419i
\(733\) 3.44514 + 10.6030i 0.127249 + 0.391632i 0.994304 0.106580i \(-0.0339900\pi\)
−0.867055 + 0.498212i \(0.833990\pi\)
\(734\) 4.12202 + 3.55609i 0.152147 + 0.131258i
\(735\) 22.8431 + 13.8830i 0.842581 + 0.512080i
\(736\) −1.46599 6.85140i −0.0540373 0.252546i
\(737\) 30.0310 41.3342i 1.10621 1.52256i
\(738\) 5.88754 51.5544i 0.216723 1.89774i
\(739\) −4.31876 5.94426i −0.158868 0.218663i 0.722161 0.691725i \(-0.243149\pi\)
−0.881029 + 0.473061i \(0.843149\pi\)
\(740\) 12.3809 10.7652i 0.455130 0.395736i
\(741\) −7.92713 16.1565i −0.291210 0.593523i
\(742\) −21.6931 + 5.09425i −0.796377 + 0.187016i
\(743\) 49.9238 1.83153 0.915763 0.401720i \(-0.131587\pi\)
0.915763 + 0.401720i \(0.131587\pi\)
\(744\) 43.4630 + 19.5502i 1.59343 + 0.716743i
\(745\) −0.548786 2.11044i −0.0201060 0.0773207i
\(746\) 4.70639 + 1.97689i 0.172313 + 0.0723790i
\(747\) −43.3658 + 12.6560i −1.58667 + 0.463060i
\(748\) −6.24058 12.5545i −0.228178 0.459038i
\(749\) 15.1544i 0.553730i
\(750\) 13.3098 + 23.9343i 0.486004 + 0.873956i
\(751\) 15.6934i 0.572659i 0.958131 + 0.286329i \(0.0924352\pi\)
−0.958131 + 0.286329i \(0.907565\pi\)
\(752\) −7.72194 + 2.34051i −0.281590 + 0.0853495i
\(753\) −13.3895 13.8002i −0.487942 0.502906i
\(754\) −5.12946 + 12.2117i −0.186804 + 0.444725i
\(755\) −10.0154 38.5157i −0.364497 1.40173i
\(756\) 37.4564 9.92106i 1.36227 0.360826i
\(757\) 29.7944 1.08290 0.541448 0.840734i \(-0.317876\pi\)
0.541448 + 0.840734i \(0.317876\pi\)
\(758\) 6.26981 + 26.6990i 0.227730 + 0.969751i
\(759\) 6.79211 3.33253i 0.246538 0.120963i
\(760\) −16.2195 + 11.8806i −0.588342 + 0.430956i
\(761\) −13.6667 18.8106i −0.495418 0.681884i 0.485958 0.873982i \(-0.338471\pi\)
−0.981376 + 0.192098i \(0.938471\pi\)
\(762\) −5.78689 + 2.26206i −0.209637 + 0.0819459i
\(763\) 15.8790 21.8555i 0.574857 0.791223i
\(764\) 14.8820 7.39752i 0.538412 0.267633i
\(765\) −6.83677 11.4481i −0.247184 0.413907i
\(766\) −6.00524 + 6.96094i −0.216978 + 0.251509i
\(767\) 3.15400 + 9.70701i 0.113884 + 0.350500i
\(768\) 25.3446 11.2093i 0.914546 0.404482i
\(769\) 4.88353 + 15.0299i 0.176104 + 0.541994i 0.999682 0.0252096i \(-0.00802532\pi\)
−0.823578 + 0.567203i \(0.808025\pi\)
\(770\) −5.93677 + 41.1551i −0.213946 + 1.48313i
\(771\) 25.4389 24.6820i 0.916161 0.888900i
\(772\) 20.8775 39.9877i 0.751399 1.43919i
\(773\) −32.3212 44.4864i −1.16251 1.60006i −0.701499 0.712671i \(-0.747485\pi\)
−0.461015 0.887392i \(-0.652515\pi\)
\(774\) 10.6147 + 18.7729i