Properties

Label 441.2.bn.a.164.13
Level $441$
Weight $2$
Character 441.164
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.bn (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 164.13
Character \(\chi\) \(=\) 441.164
Dual form 441.2.bn.a.320.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.714955 + 1.48462i) q^{2} +(0.502561 + 1.65754i) q^{3} +(-0.445953 - 0.559208i) q^{4} +(3.74883 + 1.15636i) q^{5} +(-2.82012 - 0.438953i) q^{6} +(0.974463 - 2.45976i) q^{7} +(-2.06393 + 0.471079i) q^{8} +(-2.49487 + 1.66603i) q^{9} +O(q^{10})\) \(q+(-0.714955 + 1.48462i) q^{2} +(0.502561 + 1.65754i) q^{3} +(-0.445953 - 0.559208i) q^{4} +(3.74883 + 1.15636i) q^{5} +(-2.82012 - 0.438953i) q^{6} +(0.974463 - 2.45976i) q^{7} +(-2.06393 + 0.471079i) q^{8} +(-2.49487 + 1.66603i) q^{9} +(-4.39700 + 4.73883i) q^{10} +(0.613086 - 0.0459444i) q^{11} +(0.702790 - 1.02022i) q^{12} +(-0.250153 + 0.0187464i) q^{13} +(2.95511 + 3.20532i) q^{14} +(-0.0326968 + 6.79497i) q^{15} +(1.09456 - 4.79559i) q^{16} +(2.15951 + 5.50235i) q^{17} +(-0.689700 - 4.89506i) q^{18} +(-4.00625 + 2.31301i) q^{19} +(-1.02516 - 2.61206i) q^{20} +(4.56687 + 0.379029i) q^{21} +(-0.370119 + 0.943047i) q^{22} +(-0.747730 - 4.96087i) q^{23} +(-1.81808 - 3.18430i) q^{24} +(8.58534 + 5.85339i) q^{25} +(0.151017 - 0.384785i) q^{26} +(-4.01533 - 3.29805i) q^{27} +(-1.81008 + 0.552011i) q^{28} +(4.93871 - 1.93830i) q^{29} +(-10.0646 - 4.90664i) q^{30} -1.59878i q^{31} +(3.02678 + 2.41377i) q^{32} +(0.384268 + 0.993123i) q^{33} +(-9.71285 - 0.727877i) q^{34} +(6.49746 - 8.09439i) q^{35} +(2.04425 + 0.652177i) q^{36} +(-5.30653 - 0.799831i) q^{37} +(-0.569650 - 7.60146i) q^{38} +(-0.156790 - 0.405217i) q^{39} +(-8.28206 - 0.620654i) q^{40} +(-3.87577 + 3.59619i) q^{41} +(-3.82782 + 6.50908i) q^{42} +(-4.22389 - 3.91920i) q^{43} +(-0.299100 - 0.322353i) q^{44} +(-11.2793 + 3.36069i) q^{45} +(7.89959 + 2.43670i) q^{46} +(9.83900 + 4.73822i) q^{47} +(8.49896 - 0.595798i) q^{48} +(-5.10085 - 4.79389i) q^{49} +(-14.8282 + 8.56106i) q^{50} +(-8.03507 + 6.34474i) q^{51} +(0.122040 + 0.131528i) q^{52} +(-1.08470 - 7.19649i) q^{53} +(7.76713 - 3.60327i) q^{54} +(2.35148 + 0.536710i) q^{55} +(-0.852482 + 5.53582i) q^{56} +(-5.84729 - 5.47809i) q^{57} +(-0.653317 + 8.71791i) q^{58} +(3.23721 - 14.1832i) q^{59} +(3.81438 - 3.01195i) q^{60} +(-1.64613 - 1.31275i) q^{61} +(2.37359 + 1.14306i) q^{62} +(1.66688 + 7.76025i) q^{63} +(3.11604 - 1.50061i) q^{64} +(-0.959458 - 0.218990i) q^{65} +(-1.74914 - 0.139547i) q^{66} +3.83739 q^{67} +(2.11391 - 3.66141i) q^{68} +(7.84704 - 3.73253i) q^{69} +(7.37169 + 15.4334i) q^{70} +(6.93312 - 5.52898i) q^{71} +(4.36440 - 4.61384i) q^{72} +(0.0678751 + 0.00508653i) q^{73} +(4.98137 - 7.30633i) q^{74} +(-5.38756 + 17.1722i) q^{75} +(3.08006 + 1.20883i) q^{76} +(0.484417 - 1.55282i) q^{77} +(0.713690 + 0.0569385i) q^{78} +3.73682 q^{79} +(9.64876 - 16.7121i) q^{80} +(3.44870 - 8.31303i) q^{81} +(-2.56797 - 8.32515i) q^{82} +(-0.734329 + 9.79894i) q^{83} +(-1.82466 - 2.72286i) q^{84} +(1.73294 + 23.1245i) q^{85} +(8.83840 - 3.46882i) q^{86} +(5.69481 + 7.21199i) q^{87} +(-1.24372 + 0.383638i) q^{88} +(-0.415989 - 0.283617i) q^{89} +(3.07488 - 19.1483i) q^{90} +(-0.197653 + 0.633584i) q^{91} +(-2.44070 + 2.63045i) q^{92} +(2.65005 - 0.803487i) q^{93} +(-14.0689 + 11.2196i) q^{94} +(-17.6934 + 4.03841i) q^{95} +(-2.47978 + 6.23007i) q^{96} +(3.38750 + 1.95577i) q^{97} +(10.7640 - 4.14540i) q^{98} +(-1.45302 + 1.13604i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 21q^{2} - 11q^{3} + 99q^{4} - 18q^{5} - 34q^{6} - 5q^{7} - 23q^{9} + O(q^{10}) \) \( 648q - 21q^{2} - 11q^{3} + 99q^{4} - 18q^{5} - 34q^{6} - 5q^{7} - 23q^{9} - 22q^{10} - 18q^{11} - 72q^{12} - 4q^{13} + 66q^{14} - 10q^{15} - 105q^{16} - 9q^{17} - 27q^{18} - 36q^{19} - 27q^{20} - 11q^{21} - 9q^{22} - 27q^{23} - 8q^{24} + 38q^{25} + 6q^{26} - 29q^{27} - 26q^{28} + 3q^{29} - 16q^{30} - 21q^{32} - 11q^{33} - 13q^{34} + 28q^{36} - 13q^{37} - 90q^{38} - 15q^{39} - 31q^{40} - 27q^{41} - 4q^{42} - 9q^{43} + 51q^{44} - 11q^{45} - 108q^{46} + 75q^{47} - 15q^{48} - 13q^{49} - 45q^{50} - 38q^{51} + 64q^{52} - 12q^{53} - 41q^{54} + 14q^{55} + 3q^{56} - 7q^{57} - 90q^{58} + 15q^{59} - 69q^{60} - 56q^{61} + 66q^{62} + 13q^{63} + 64q^{64} - 21q^{65} - 204q^{66} - 26q^{67} + 3q^{68} + 58q^{69} - 22q^{70} - 63q^{71} - 18q^{72} - 22q^{73} - 12q^{74} + 118q^{75} - 63q^{76} - 69q^{77} - 147q^{78} - 2q^{79} - 45q^{80} + 29q^{81} - 28q^{82} - 51q^{83} - 31q^{84} - 10q^{85} - 72q^{86} - 67q^{87} + 4q^{88} + 132q^{89} + 58q^{90} - 13q^{91} - 15q^{92} + 217q^{93} - 7q^{94} - 21q^{95} - 44q^{96} + 3q^{97} + 21q^{98} - 148q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{25}{42}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
<
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.714955 + 1.48462i −0.505549 + 1.04978i 0.479505 + 0.877539i \(0.340816\pi\)
−0.985054 + 0.172245i \(0.944898\pi\)
\(3\) 0.502561 + 1.65754i 0.290154 + 0.956980i
\(4\) −0.445953 0.559208i −0.222977 0.279604i
\(5\) 3.74883 + 1.15636i 1.67653 + 0.517140i 0.979763 0.200161i \(-0.0641465\pi\)
0.696764 + 0.717301i \(0.254623\pi\)
\(6\) −2.82012 0.438953i −1.15131 0.179202i
\(7\) 0.974463 2.45976i 0.368312 0.929702i
\(8\) −2.06393 + 0.471079i −0.729710 + 0.166551i
\(9\) −2.49487 + 1.66603i −0.831622 + 0.555343i
\(10\) −4.39700 + 4.73883i −1.39045 + 1.49855i
\(11\) 0.613086 0.0459444i 0.184852 0.0138528i 0.0180178 0.999838i \(-0.494264\pi\)
0.166835 + 0.985985i \(0.446645\pi\)
\(12\) 0.702790 1.02022i 0.202878 0.294512i
\(13\) −0.250153 + 0.0187464i −0.0693800 + 0.00519931i −0.109375 0.994001i \(-0.534885\pi\)
0.0399949 + 0.999200i \(0.487266\pi\)
\(14\) 2.95511 + 3.20532i 0.789787 + 0.856659i
\(15\) −0.0326968 + 6.79497i −0.00844229 + 1.75445i
\(16\) 1.09456 4.79559i 0.273641 1.19890i
\(17\) 2.15951 + 5.50235i 0.523759 + 1.33452i 0.910950 + 0.412516i \(0.135350\pi\)
−0.387191 + 0.921999i \(0.626555\pi\)
\(18\) −0.689700 4.89506i −0.162564 1.15378i
\(19\) −4.00625 + 2.31301i −0.919097 + 0.530641i −0.883347 0.468720i \(-0.844715\pi\)
−0.0357503 + 0.999361i \(0.511382\pi\)
\(20\) −1.02516 2.61206i −0.229232 0.584074i
\(21\) 4.56687 + 0.379029i 0.996574 + 0.0827110i
\(22\) −0.370119 + 0.943047i −0.0789096 + 0.201058i
\(23\) −0.747730 4.96087i −0.155913 1.03441i −0.920740 0.390177i \(-0.872414\pi\)
0.764827 0.644235i \(-0.222824\pi\)
\(24\) −1.81808 3.18430i −0.371114 0.649992i
\(25\) 8.58534 + 5.85339i 1.71707 + 1.17068i
\(26\) 0.151017 0.384785i 0.0296168 0.0754625i
\(27\) −4.01533 3.29805i −0.772750 0.634711i
\(28\) −1.81008 + 0.552011i −0.342073 + 0.104320i
\(29\) 4.93871 1.93830i 0.917096 0.359934i 0.140608 0.990065i \(-0.455094\pi\)
0.776488 + 0.630132i \(0.216999\pi\)
\(30\) −10.0646 4.90664i −1.83753 0.895825i
\(31\) 1.59878i 0.287150i −0.989639 0.143575i \(-0.954140\pi\)
0.989639 0.143575i \(-0.0458599\pi\)
\(32\) 3.02678 + 2.41377i 0.535064 + 0.426699i
\(33\) 0.384268 + 0.993123i 0.0668924 + 0.172881i
\(34\) −9.71285 0.727877i −1.66574 0.124830i
\(35\) 6.49746 8.09439i 1.09827 1.36820i
\(36\) 2.04425 + 0.652177i 0.340708 + 0.108696i
\(37\) −5.30653 0.799831i −0.872388 0.131491i −0.302436 0.953170i \(-0.597800\pi\)
−0.569952 + 0.821678i \(0.693038\pi\)
\(38\) −0.569650 7.60146i −0.0924095 1.23312i
\(39\) −0.156790 0.405217i −0.0251065 0.0648866i
\(40\) −8.28206 0.620654i −1.30951 0.0981341i
\(41\) −3.87577 + 3.59619i −0.605293 + 0.561630i −0.922145 0.386845i \(-0.873565\pi\)
0.316852 + 0.948475i \(0.397374\pi\)
\(42\) −3.82782 + 6.50908i −0.590646 + 1.00437i
\(43\) −4.22389 3.91920i −0.644137 0.597672i 0.288941 0.957347i \(-0.406697\pi\)
−0.933078 + 0.359675i \(0.882887\pi\)
\(44\) −0.299100 0.322353i −0.0450911 0.0485966i
\(45\) −11.2793 + 3.36069i −1.68143 + 0.500982i
\(46\) 7.89959 + 2.43670i 1.16473 + 0.359272i
\(47\) 9.83900 + 4.73822i 1.43517 + 0.691140i 0.979950 0.199241i \(-0.0638478\pi\)
0.455216 + 0.890381i \(0.349562\pi\)
\(48\) 8.49896 0.595798i 1.22672 0.0859960i
\(49\) −5.10085 4.79389i −0.728692 0.684841i
\(50\) −14.8282 + 8.56106i −2.09702 + 1.21072i
\(51\) −8.03507 + 6.34474i −1.12513 + 0.888441i
\(52\) 0.122040 + 0.131528i 0.0169239 + 0.0182396i
\(53\) −1.08470 7.19649i −0.148995 0.988514i −0.930941 0.365169i \(-0.881011\pi\)
0.781947 0.623345i \(-0.214227\pi\)
\(54\) 7.76713 3.60327i 1.05697 0.490343i
\(55\) 2.35148 + 0.536710i 0.317074 + 0.0723700i
\(56\) −0.852482 + 5.53582i −0.113918 + 0.739756i
\(57\) −5.84729 5.47809i −0.774492 0.725590i
\(58\) −0.653317 + 8.71791i −0.0857847 + 1.14472i
\(59\) 3.23721 14.1832i 0.421449 1.84649i −0.102488 0.994734i \(-0.532680\pi\)
0.523938 0.851756i \(-0.324462\pi\)
\(60\) 3.81438 3.01195i 0.492434 0.388842i
\(61\) −1.64613 1.31275i −0.210766 0.168080i 0.512417 0.858737i \(-0.328750\pi\)
−0.723183 + 0.690657i \(0.757322\pi\)
\(62\) 2.37359 + 1.14306i 0.301446 + 0.145169i
\(63\) 1.66688 + 7.76025i 0.210007 + 0.977700i
\(64\) 3.11604 1.50061i 0.389506 0.187576i
\(65\) −0.959458 0.218990i −0.119006 0.0271624i
\(66\) −1.74914 0.139547i −0.215305 0.0171771i
\(67\) 3.83739 0.468812 0.234406 0.972139i \(-0.424685\pi\)
0.234406 + 0.972139i \(0.424685\pi\)
\(68\) 2.11391 3.66141i 0.256350 0.444011i
\(69\) 7.84704 3.73253i 0.944673 0.449344i
\(70\) 7.37169 + 15.4334i 0.881086 + 1.84464i
\(71\) 6.93312 5.52898i 0.822810 0.656169i −0.118783 0.992920i \(-0.537899\pi\)
0.941594 + 0.336751i \(0.109328\pi\)
\(72\) 4.36440 4.61384i 0.514349 0.543747i
\(73\) 0.0678751 + 0.00508653i 0.00794418 + 0.000595334i 0.0787016 0.996898i \(-0.474923\pi\)
−0.0707574 + 0.997494i \(0.522542\pi\)
\(74\) 4.98137 7.30633i 0.579073 0.849344i
\(75\) −5.38756 + 17.1722i −0.622101 + 1.98288i
\(76\) 3.08006 + 1.20883i 0.353307 + 0.138663i
\(77\) 0.484417 1.55282i 0.0552044 0.176960i
\(78\) 0.713690 + 0.0569385i 0.0808095 + 0.00644701i
\(79\) 3.73682 0.420426 0.210213 0.977656i \(-0.432584\pi\)
0.210213 + 0.977656i \(0.432584\pi\)
\(80\) 9.64876 16.7121i 1.07876 1.86847i
\(81\) 3.44870 8.31303i 0.383189 0.923670i
\(82\) −2.56797 8.32515i −0.283585 0.919359i
\(83\) −0.734329 + 9.79894i −0.0806031 + 1.07557i 0.799461 + 0.600718i \(0.205119\pi\)
−0.880064 + 0.474855i \(0.842500\pi\)
\(84\) −1.82466 2.72286i −0.199086 0.297089i
\(85\) 1.73294 + 23.1245i 0.187964 + 2.50821i
\(86\) 8.83840 3.46882i 0.953069 0.374052i
\(87\) 5.69481 + 7.21199i 0.610548 + 0.773207i
\(88\) −1.24372 + 0.383638i −0.132581 + 0.0408959i
\(89\) −0.415989 0.283617i −0.0440948 0.0300633i 0.541072 0.840976i \(-0.318019\pi\)
−0.585167 + 0.810913i \(0.698971\pi\)
\(90\) 3.07488 19.1483i 0.324121 2.01841i
\(91\) −0.197653 + 0.633584i −0.0207197 + 0.0664177i
\(92\) −2.44070 + 2.63045i −0.254461 + 0.274244i
\(93\) 2.65005 0.803487i 0.274797 0.0833177i
\(94\) −14.0689 + 11.2196i −1.45109 + 1.15721i
\(95\) −17.6934 + 4.03841i −1.81531 + 0.414332i
\(96\) −2.47978 + 6.23007i −0.253092 + 0.635853i
\(97\) 3.38750 + 1.95577i 0.343948 + 0.198579i 0.662017 0.749489i \(-0.269701\pi\)
−0.318068 + 0.948068i \(0.603034\pi\)
\(98\) 10.7640 4.14540i 1.08733 0.418748i
\(99\) −1.45302 + 1.13604i −0.146034 + 0.114177i
\(100\) −0.555402 7.41133i −0.0555402 0.741133i
\(101\) 2.32166 2.15418i 0.231013 0.214349i −0.556169 0.831069i \(-0.687729\pi\)
0.787183 + 0.616720i \(0.211539\pi\)
\(102\) −3.67481 16.4652i −0.363861 1.63030i
\(103\) 2.77884 9.00878i 0.273807 0.887662i −0.709343 0.704863i \(-0.751008\pi\)
0.983150 0.182798i \(-0.0585155\pi\)
\(104\) 0.507467 0.156533i 0.0497613 0.0153493i
\(105\) 16.6821 + 6.70187i 1.62801 + 0.654035i
\(106\) 11.4596 + 3.53481i 1.11305 + 0.343331i
\(107\) −4.33751 + 6.36196i −0.419323 + 0.615034i −0.976541 0.215332i \(-0.930917\pi\)
0.557218 + 0.830367i \(0.311869\pi\)
\(108\) −0.0536492 + 3.71618i −0.00516240 + 0.357590i
\(109\) 6.21757 4.23907i 0.595536 0.406029i −0.227698 0.973732i \(-0.573120\pi\)
0.823234 + 0.567702i \(0.192168\pi\)
\(110\) −2.47801 + 3.10733i −0.236269 + 0.296272i
\(111\) −1.34110 9.19774i −0.127292 0.873011i
\(112\) −10.7294 7.36549i −1.01383 0.695973i
\(113\) −11.4427 + 16.7833i −1.07644 + 1.57884i −0.294326 + 0.955705i \(0.595095\pi\)
−0.782111 + 0.623139i \(0.785857\pi\)
\(114\) 12.3134 4.76441i 1.15326 0.446228i
\(115\) 2.93344 19.4621i 0.273544 1.81485i
\(116\) −3.28635 1.89737i −0.305130 0.176167i
\(117\) 0.592866 0.463532i 0.0548105 0.0428535i
\(118\) 18.7421 + 14.9464i 1.72535 + 1.37592i
\(119\) 15.6388 + 0.0499487i 1.43361 + 0.00457879i
\(120\) −3.13348 14.0397i −0.286046 1.28165i
\(121\) −10.5034 + 1.58313i −0.954852 + 0.143921i
\(122\) 3.12584 1.50533i 0.283000 0.136286i
\(123\) −7.90862 4.61693i −0.713097 0.416294i
\(124\) −0.894053 + 0.712983i −0.0802883 + 0.0640278i
\(125\) 13.1862 + 16.5350i 1.17941 + 1.47894i
\(126\) −12.7128 3.07355i −1.13254 0.273814i
\(127\) −0.499065 + 0.625808i −0.0442849 + 0.0555315i −0.803481 0.595331i \(-0.797021\pi\)
0.759196 + 0.650862i \(0.225592\pi\)
\(128\) 13.4418i 1.18810i
\(129\) 4.37346 8.97089i 0.385061 0.789843i
\(130\) 1.01109 1.26786i 0.0886781 0.111199i
\(131\) 14.0023 + 12.9923i 1.22339 + 1.13514i 0.986528 + 0.163595i \(0.0523091\pi\)
0.236861 + 0.971543i \(0.423881\pi\)
\(132\) 0.383997 0.657772i 0.0334226 0.0572517i
\(133\) 1.78551 + 12.1084i 0.154823 + 1.04993i
\(134\) −2.74356 + 5.69707i −0.237008 + 0.492152i
\(135\) −11.2390 17.0070i −0.967301 1.46373i
\(136\) −7.04912 10.3392i −0.604457 0.886576i
\(137\) 1.72337 + 5.58702i 0.147237 + 0.477331i 0.998907 0.0467479i \(-0.0148857\pi\)
−0.851669 + 0.524079i \(0.824410\pi\)
\(138\) −0.0688993 + 14.3185i −0.00586510 + 1.21887i
\(139\) −2.93934 3.16785i −0.249311 0.268694i 0.595980 0.802999i \(-0.296764\pi\)
−0.845291 + 0.534306i \(0.820573\pi\)
\(140\) −7.42401 0.0237115i −0.627443 0.00200399i
\(141\) −2.90907 + 18.6898i −0.244988 + 1.57396i
\(142\) 3.25156 + 14.2460i 0.272865 + 1.19550i
\(143\) −0.152504 + 0.0229863i −0.0127530 + 0.00192221i
\(144\) 5.25880 + 13.7879i 0.438234 + 1.14899i
\(145\) 20.7558 1.55543i 1.72367 0.129171i
\(146\) −0.0560792 + 0.0971320i −0.00464115 + 0.00803870i
\(147\) 5.38257 10.8641i 0.443947 0.896053i
\(148\) 1.91919 + 3.32414i 0.157757 + 0.273243i
\(149\) 4.05655 + 5.94986i 0.332325 + 0.487431i 0.955639 0.294540i \(-0.0951665\pi\)
−0.623314 + 0.781972i \(0.714214\pi\)
\(150\) −21.6423 20.2758i −1.76709 1.65551i
\(151\) 6.09980 15.5420i 0.496395 1.26479i −0.434884 0.900486i \(-0.643211\pi\)
0.931279 0.364307i \(-0.118694\pi\)
\(152\) 7.17902 6.66115i 0.582295 0.540291i
\(153\) −14.5548 10.1298i −1.17668 0.818947i
\(154\) 1.95900 + 1.82937i 0.157861 + 0.147415i
\(155\) 1.84877 5.99357i 0.148497 0.481415i
\(156\) −0.156679 + 0.268386i −0.0125444 + 0.0214881i
\(157\) 19.4311 + 4.43503i 1.55077 + 0.353954i 0.910274 0.414006i \(-0.135871\pi\)
0.640498 + 0.767960i \(0.278728\pi\)
\(158\) −2.67166 + 5.54776i −0.212546 + 0.441356i
\(159\) 11.3833 5.41460i 0.902757 0.429406i
\(160\) 8.55567 + 12.5489i 0.676385 + 0.992075i
\(161\) −12.9312 2.99494i −1.01912 0.236034i
\(162\) 9.87601 + 11.0635i 0.775933 + 0.869227i
\(163\) −14.0736 + 4.34114i −1.10233 + 0.340024i −0.791949 0.610587i \(-0.790934\pi\)
−0.310383 + 0.950612i \(0.600457\pi\)
\(164\) 3.73943 + 0.563628i 0.292000 + 0.0440119i
\(165\) 0.292145 + 4.16740i 0.0227435 + 0.324432i
\(166\) −14.0227 8.09600i −1.08837 0.628371i
\(167\) −22.8311 3.44123i −1.76672 0.266291i −0.816384 0.577509i \(-0.804025\pi\)
−0.950339 + 0.311218i \(0.899263\pi\)
\(168\) −9.60426 + 1.36907i −0.740985 + 0.105626i
\(169\) −12.7926 + 1.92817i −0.984044 + 0.148321i
\(170\) −35.5701 13.9602i −2.72810 1.07070i
\(171\) 6.14152 12.4452i 0.469654 0.951706i
\(172\) −0.307988 + 4.10981i −0.0234838 + 0.313370i
\(173\) −12.5258 15.7069i −0.952321 1.19417i −0.980886 0.194581i \(-0.937665\pi\)
0.0285652 0.999592i \(-0.490906\pi\)
\(174\) −14.7786 + 3.29838i −1.12036 + 0.250050i
\(175\) 22.7640 15.4140i 1.72080 1.16519i
\(176\) 0.450730 2.99040i 0.0339751 0.225410i
\(177\) 25.1360 1.76210i 1.88934 0.132447i
\(178\) 0.718477 0.414813i 0.0538521 0.0310915i
\(179\) −16.7822 + 6.58652i −1.25436 + 0.492300i −0.897151 0.441725i \(-0.854367\pi\)
−0.357209 + 0.934024i \(0.616272\pi\)
\(180\) 6.90939 + 4.80879i 0.514995 + 0.358426i
\(181\) 1.50053 + 3.11589i 0.111534 + 0.231602i 0.949263 0.314484i \(-0.101831\pi\)
−0.837729 + 0.546086i \(0.816117\pi\)
\(182\) −0.799318 0.746424i −0.0592494 0.0553286i
\(183\) 1.34865 3.38827i 0.0996949 0.250468i
\(184\) 3.88022 + 9.88664i 0.286054 + 0.728853i
\(185\) −18.9684 9.13469i −1.39458 0.671595i
\(186\) −0.701792 + 4.50876i −0.0514579 + 0.330599i
\(187\) 1.57677 + 3.27420i 0.115305 + 0.239433i
\(188\) −1.73809 7.61507i −0.126763 0.555386i
\(189\) −12.0252 + 6.66291i −0.874705 + 0.484655i
\(190\) 6.65450 29.1553i 0.482768 2.11515i
\(191\) 2.41325 0.550808i 0.174616 0.0398550i −0.134319 0.990938i \(-0.542885\pi\)
0.308935 + 0.951083i \(0.400027\pi\)
\(192\) 4.05332 + 4.41082i 0.292523 + 0.318323i
\(193\) −0.882262 3.86544i −0.0635066 0.278241i 0.933197 0.359364i \(-0.117006\pi\)
−0.996704 + 0.0811234i \(0.974149\pi\)
\(194\) −5.32549 + 3.63086i −0.382348 + 0.260680i
\(195\) −0.119202 1.70039i −0.00853622 0.121768i
\(196\) −0.406042 + 4.99028i −0.0290030 + 0.356449i
\(197\) 2.82472i 0.201253i 0.994924 + 0.100626i \(0.0320847\pi\)
−0.994924 + 0.100626i \(0.967915\pi\)
\(198\) −0.647746 2.96940i −0.0460333 0.211026i
\(199\) 6.57930 21.3296i 0.466395 1.51201i −0.351245 0.936284i \(-0.614242\pi\)
0.817640 0.575730i \(-0.195282\pi\)
\(200\) −20.4770 8.03661i −1.44794 0.568274i
\(201\) 1.92852 + 6.36063i 0.136028 + 0.448644i
\(202\) 1.53826 + 4.98692i 0.108232 + 0.350878i
\(203\) 0.0448322 14.0369i 0.00314660 0.985194i
\(204\) 7.13129 + 1.66381i 0.499290 + 0.116490i
\(205\) −18.6881 + 8.99970i −1.30523 + 0.628566i
\(206\) 11.3879 + 10.5664i 0.793430 + 0.736195i
\(207\) 10.1304 + 11.1310i 0.704113 + 0.773655i
\(208\) −0.183908 + 1.22015i −0.0127517 + 0.0846022i
\(209\) −2.34991 + 1.60214i −0.162546 + 0.110822i
\(210\) −21.8767 + 19.9751i −1.50963 + 1.37841i
\(211\) −7.25756 4.94812i −0.499631 0.340643i 0.287139 0.957889i \(-0.407296\pi\)
−0.786770 + 0.617246i \(0.788248\pi\)
\(212\) −3.54061 + 3.81587i −0.243170 + 0.262075i
\(213\) 12.6488 + 8.71327i 0.866682 + 0.597023i
\(214\) −6.34397 10.9881i −0.433665 0.751129i
\(215\) −11.3026 19.5767i −0.770833 1.33512i
\(216\) 9.84100 + 4.91542i 0.669595 + 0.334452i
\(217\) −3.93263 1.55796i −0.266964 0.105761i
\(218\) 1.84812 + 12.2615i 0.125170 + 0.830452i
\(219\) 0.0256802 + 0.115062i 0.00173531 + 0.00777516i
\(220\) −0.748519 1.55431i −0.0504651 0.104792i
\(221\) −0.643358 1.33595i −0.0432769 0.0898655i
\(222\) 14.6140 + 4.58494i 0.980825 + 0.307721i
\(223\) 1.99483 + 13.2349i 0.133584 + 0.886272i 0.950770 + 0.309898i \(0.100295\pi\)
−0.817186 + 0.576374i \(0.804467\pi\)
\(224\) 8.88679 5.09301i 0.593773 0.340291i
\(225\) −31.1712 0.299994i −2.07808 0.0199996i
\(226\) −16.7359 28.9874i −1.11325 1.92821i
\(227\) 13.7723 + 23.8543i 0.914098 + 1.58326i 0.808217 + 0.588885i \(0.200433\pi\)
0.105881 + 0.994379i \(0.466234\pi\)
\(228\) −0.455771 + 5.71282i −0.0301842 + 0.378341i
\(229\) 12.4139 13.3790i 0.820335 0.884111i −0.174599 0.984640i \(-0.555863\pi\)
0.994934 + 0.100529i \(0.0320534\pi\)
\(230\) 26.7965 + 18.2695i 1.76691 + 1.20466i
\(231\) 2.81730 + 0.0225551i 0.185365 + 0.00148402i
\(232\) −9.28007 + 6.32704i −0.609266 + 0.415391i
\(233\) −4.41036 + 29.2608i −0.288932 + 1.91694i 0.0986843 + 0.995119i \(0.468537\pi\)
−0.387616 + 0.921821i \(0.626701\pi\)
\(234\) 0.264295 + 1.21158i 0.0172775 + 0.0792037i
\(235\) 31.4056 + 29.1402i 2.04868 + 1.90090i
\(236\) −9.37498 + 4.51475i −0.610259 + 0.293885i
\(237\) 1.87798 + 6.19393i 0.121988 + 0.402339i
\(238\) −11.2552 + 23.1820i −0.729567 + 1.50267i
\(239\) −2.33509 7.57018i −0.151044 0.489674i 0.848152 0.529753i \(-0.177715\pi\)
−0.999197 + 0.0400788i \(0.987239\pi\)
\(240\) 32.5501 + 7.59432i 2.10110 + 0.490211i
\(241\) −6.39913 2.51147i −0.412204 0.161778i 0.150172 0.988660i \(-0.452017\pi\)
−0.562376 + 0.826882i \(0.690113\pi\)
\(242\) 5.15910 16.7254i 0.331639 1.07515i
\(243\) 15.5123 + 1.53855i 0.995117 + 0.0986983i
\(244\) 1.50596i 0.0964089i
\(245\) −13.5787 23.8699i −0.867513 1.52499i
\(246\) 12.5087 8.44040i 0.797525 0.538140i
\(247\) 0.958815 0.653709i 0.0610080 0.0415945i
\(248\) 0.753153 + 3.29978i 0.0478253 + 0.209536i
\(249\) −16.6112 + 3.70739i −1.05269 + 0.234946i
\(250\) −33.9757 + 7.75474i −2.14881 + 0.490453i
\(251\) 2.96660 12.9975i 0.187250 0.820396i −0.790808 0.612064i \(-0.790339\pi\)
0.978058 0.208332i \(-0.0668035\pi\)
\(252\) 3.59625 4.39284i 0.226542 0.276723i
\(253\) −0.686347 3.00708i −0.0431503 0.189054i
\(254\) −0.572277 1.18835i −0.0359079 0.0745635i
\(255\) −37.4589 + 14.4939i −2.34577 + 0.907644i
\(256\) −13.7238 6.60906i −0.857740 0.413066i
\(257\) 2.64154 + 6.73054i 0.164775 + 0.419840i 0.989283 0.146010i \(-0.0466433\pi\)
−0.824508 + 0.565850i \(0.808548\pi\)
\(258\) 10.1915 + 12.9067i 0.634497 + 0.803536i
\(259\) −7.13841 + 12.2734i −0.443559 + 0.762631i
\(260\) 0.305413 + 0.634196i 0.0189409 + 0.0393312i
\(261\) −9.09216 + 13.0638i −0.562790 + 0.808631i
\(262\) −29.2996 + 11.4992i −1.81013 + 0.710425i
\(263\) −4.85452 + 2.80276i −0.299342 + 0.172825i −0.642147 0.766581i \(-0.721956\pi\)
0.342805 + 0.939407i \(0.388623\pi\)
\(264\) −1.26094 1.86872i −0.0776056 0.115012i
\(265\) 4.25540 28.2327i 0.261407 1.73432i
\(266\) −19.2529 6.00613i −1.18047 0.368259i
\(267\) 0.261046 0.832053i 0.0159757 0.0509208i
\(268\) −1.71130 2.14590i −0.104534 0.131082i
\(269\) 0.156647 2.09030i 0.00955091 0.127448i −0.990390 0.138301i \(-0.955836\pi\)
0.999941 + 0.0108533i \(0.00345480\pi\)
\(270\) 33.2843 4.52644i 2.02562 0.275470i
\(271\) −24.9916 9.80848i −1.51813 0.595823i −0.547588 0.836748i \(-0.684454\pi\)
−0.970544 + 0.240926i \(0.922549\pi\)
\(272\) 28.7507 4.33348i 1.74327 0.262756i
\(273\) −1.14952 0.00920300i −0.0695723 0.000556991i
\(274\) −9.52673 1.43592i −0.575531 0.0867473i
\(275\) 5.53248 + 3.19418i 0.333621 + 0.192616i
\(276\) −5.58668 2.72360i −0.336278 0.163941i
\(277\) 16.9857 + 2.56018i 1.02057 + 0.153826i 0.637948 0.770079i \(-0.279783\pi\)
0.382621 + 0.923905i \(0.375021\pi\)
\(278\) 6.80454 2.09892i 0.408109 0.125885i
\(279\) 2.66362 + 3.98875i 0.159467 + 0.238800i
\(280\) −9.59722 + 19.7671i −0.573543 + 1.18131i
\(281\) −4.03198 5.91383i −0.240528 0.352790i 0.686926 0.726728i \(-0.258960\pi\)
−0.927454 + 0.373938i \(0.878007\pi\)
\(282\) −25.6673 17.6812i −1.52847 1.05290i
\(283\) −0.425868 + 0.884324i −0.0253152 + 0.0525676i −0.913243 0.407415i \(-0.866430\pi\)
0.887928 + 0.459983i \(0.152144\pi\)
\(284\) −6.18370 1.41139i −0.366935 0.0837505i
\(285\) −15.5858 27.2980i −0.923225 1.61699i
\(286\) 0.0749076 0.242844i 0.00442938 0.0143597i
\(287\) 5.06897 + 13.0378i 0.299212 + 0.769597i
\(288\) −11.5728 0.979346i −0.681934 0.0577085i
\(289\) −13.1505 + 12.2019i −0.773557 + 0.717756i
\(290\) −12.5302 + 31.9265i −0.735799 + 1.87479i
\(291\) −1.53934 + 6.59781i −0.0902380 + 0.386770i
\(292\) −0.0274247 0.0402246i −0.00160491 0.00235397i
\(293\) −9.52410 16.4962i −0.556404 0.963719i −0.997793 0.0664036i \(-0.978848\pi\)
0.441389 0.897316i \(-0.354486\pi\)
\(294\) 12.2807 + 15.7584i 0.716225 + 0.919047i
\(295\) 28.5366 49.4268i 1.66147 2.87774i
\(296\) 11.3291 0.848998i 0.658490 0.0493470i
\(297\) −2.61327 1.83751i −0.151637 0.106623i
\(298\) −11.7335 + 1.76854i −0.679705 + 0.102449i
\(299\) 0.280045 + 1.22696i 0.0161954 + 0.0709568i
\(300\) 12.0054 4.64525i 0.693134 0.268193i
\(301\) −13.7563 + 6.57065i −0.792900 + 0.378726i
\(302\) 18.7129 + 20.1677i 1.07681 + 1.16052i
\(303\) 4.73741 + 2.76562i 0.272157 + 0.158881i
\(304\) 6.70716 + 21.7441i 0.384682 + 1.24711i
\(305\) −4.65306 6.82479i −0.266434 0.390786i
\(306\) 25.4449 14.3659i 1.45459 0.821245i
\(307\) −5.17475 + 10.7455i −0.295339 + 0.613277i −0.994852 0.101343i \(-0.967686\pi\)
0.699513 + 0.714620i \(0.253400\pi\)
\(308\) −1.08437 + 0.421594i −0.0617880 + 0.0240225i
\(309\) 16.3289 + 0.0785736i 0.928921 + 0.00446989i
\(310\) 7.57638 + 7.02985i 0.430309 + 0.399269i
\(311\) −2.85604 + 3.58136i −0.161951 + 0.203080i −0.856185 0.516669i \(-0.827172\pi\)
0.694234 + 0.719749i \(0.255743\pi\)
\(312\) 0.514493 + 0.762479i 0.0291274 + 0.0431669i
\(313\) 20.2358i 1.14380i −0.820324 0.571898i \(-0.806207\pi\)
0.820324 0.571898i \(-0.193793\pi\)
\(314\) −20.4767 + 25.6770i −1.15557 + 1.44903i
\(315\) −2.72481 + 31.0194i −0.153526 + 1.74774i
\(316\) −1.66645 2.08966i −0.0937451 0.117553i
\(317\) −0.694802 + 0.554086i −0.0390239 + 0.0311206i −0.642808 0.766028i \(-0.722231\pi\)
0.603784 + 0.797148i \(0.293659\pi\)
\(318\) −0.0999490 + 20.7711i −0.00560486 + 1.16479i
\(319\) 2.93880 1.41525i 0.164541 0.0792389i
\(320\) 13.4168 2.02225i 0.750020 0.113047i
\(321\) −12.7251 3.99232i −0.710244 0.222830i
\(322\) 13.6916 17.0566i 0.763000 0.950529i
\(323\) −21.3785 17.0488i −1.18953 0.948622i
\(324\) −6.18667 + 1.77868i −0.343704 + 0.0988156i
\(325\) −2.25738 1.30330i −0.125217 0.0722940i
\(326\) 3.61707 23.9977i 0.200331 1.32911i
\(327\) 10.1511 + 8.17548i 0.561359 + 0.452105i
\(328\) 6.30523 9.24807i 0.348148 0.510639i
\(329\) 21.2426 19.5844i 1.17114 1.07972i
\(330\) −6.39587 2.54578i −0.352081 0.140141i
\(331\) 12.2629 15.3772i 0.674030 0.845206i −0.320760 0.947161i \(-0.603938\pi\)
0.994789 + 0.101954i \(0.0325096\pi\)
\(332\) 5.80712 3.95923i 0.318707 0.217291i
\(333\) 14.5716 6.84536i 0.798520 0.375123i
\(334\) 21.4321 31.4351i 1.17271 1.72005i
\(335\) 14.3857 + 4.43741i 0.785976 + 0.242442i
\(336\) 6.81640 21.4860i 0.371865 1.17216i
\(337\) 13.9582 4.30552i 0.760350 0.234537i 0.109752 0.993959i \(-0.464994\pi\)
0.650598 + 0.759422i \(0.274518\pi\)
\(338\) 6.28351 20.3707i 0.341778 1.10802i
\(339\) −33.5697 10.5320i −1.82325 0.572022i
\(340\) 12.1586 11.2815i 0.659393 0.611827i
\(341\) −0.0734553 0.980192i −0.00397783 0.0530804i
\(342\) 14.0854 + 18.0156i 0.761653 + 0.974169i
\(343\) −16.7624 + 7.87539i −0.905085 + 0.425231i
\(344\) 10.5641 + 6.09916i 0.569576 + 0.328845i
\(345\) 33.7334 4.91860i 1.81614 0.264808i
\(346\) 32.2742 7.36637i 1.73507 0.396018i
\(347\) 0.656671 0.523678i 0.0352520 0.0281125i −0.605705 0.795689i \(-0.707109\pi\)
0.640957 + 0.767577i \(0.278538\pi\)
\(348\) 1.49338 6.40080i 0.0800536 0.343119i
\(349\) −20.9990 + 22.6316i −1.12405 + 1.21144i −0.149149 + 0.988815i \(0.547653\pi\)
−0.974904 + 0.222626i \(0.928537\pi\)
\(350\) 6.60864 + 44.8162i 0.353247 + 2.39553i
\(351\) 1.06627 + 0.749745i 0.0569134 + 0.0400184i
\(352\) 1.96657 + 1.34079i 0.104819 + 0.0714642i
\(353\) 18.9216 5.83653i 1.00709 0.310647i 0.253037 0.967457i \(-0.418571\pi\)
0.754057 + 0.656809i \(0.228094\pi\)
\(354\) −15.3551 + 38.5772i −0.816113 + 2.05036i
\(355\) 32.3846 12.7100i 1.71879 0.674577i
\(356\) 0.0269112 + 0.359104i 0.00142629 + 0.0190325i
\(357\) 7.77667 + 25.9471i 0.411585 + 1.37326i
\(358\) 2.22003 29.6242i 0.117332 1.56569i
\(359\) −8.89554 28.8386i −0.469489 1.52205i −0.812641 0.582765i \(-0.801971\pi\)
0.343152 0.939280i \(-0.388505\pi\)
\(360\) 21.6966 12.2497i 1.14351 0.645615i
\(361\) 1.20004 2.07852i 0.0631598 0.109396i
\(362\) −5.69872 −0.299518
\(363\) −7.90268 16.6141i −0.414783 0.872015i
\(364\) 0.442449 0.172020i 0.0231906 0.00901629i
\(365\) 0.248570 + 0.0975566i 0.0130108 + 0.00510634i
\(366\) 4.06606 + 4.42468i 0.212536 + 0.231282i
\(367\) −1.84186 + 2.70151i −0.0961441 + 0.141018i −0.871297 0.490756i \(-0.836721\pi\)
0.775153 + 0.631774i \(0.217673\pi\)
\(368\) −24.6087 1.84417i −1.28282 0.0961340i
\(369\) 3.67817 15.4291i 0.191478 0.803209i
\(370\) 27.1231 21.6299i 1.41006 1.12449i
\(371\) −18.7586 4.34462i −0.973900 0.225561i
\(372\) −1.63111 1.12361i −0.0845693 0.0582564i
\(373\) −7.18580 + 12.4462i −0.372067 + 0.644439i −0.989883 0.141884i \(-0.954684\pi\)
0.617816 + 0.786322i \(0.288017\pi\)
\(374\) −5.98825 −0.309645
\(375\) −20.7805 + 30.1665i −1.07310 + 1.55779i
\(376\) −22.5391 5.14440i −1.16237 0.265302i
\(377\) −1.19910 + 0.577455i −0.0617567 + 0.0297404i
\(378\) −1.29440 22.6165i −0.0665770 1.16327i
\(379\) −1.56199 0.752216i −0.0802342 0.0386387i 0.393336 0.919395i \(-0.371321\pi\)
−0.473571 + 0.880756i \(0.657035\pi\)
\(380\) 10.1487 + 8.09336i 0.520620 + 0.415181i
\(381\) −1.28811 0.512713i −0.0659919 0.0262671i
\(382\) −0.907622 + 3.97655i −0.0464380 + 0.203458i
\(383\) 0.752265 10.0383i 0.0384390 0.512932i −0.944440 0.328683i \(-0.893395\pi\)
0.982879 0.184250i \(-0.0589856\pi\)
\(384\) −22.2803 + 6.75532i −1.13699 + 0.344731i
\(385\) 3.61161 5.26108i 0.184065 0.268129i
\(386\) 6.36949 + 1.45379i 0.324198 + 0.0739962i
\(387\) 17.0675 + 2.74075i 0.867591 + 0.139320i
\(388\) −0.416983 2.76650i −0.0211691 0.140448i
\(389\) 22.2159 + 23.9431i 1.12639 + 1.21396i 0.974218 + 0.225608i \(0.0724369\pi\)
0.152174 + 0.988354i \(0.451373\pi\)
\(390\) 2.60966 + 1.03874i 0.132145 + 0.0525984i
\(391\) 25.6817 14.8273i 1.29878 0.749850i
\(392\) 12.7861 + 7.49136i 0.645795 + 0.378371i
\(393\) −14.4981 + 29.7388i −0.731335 + 1.50012i
\(394\) −4.19363 2.01955i −0.211272 0.101743i
\(395\) 14.0087 + 4.32111i 0.704855 + 0.217419i
\(396\) 1.28326 + 0.305919i 0.0644865 + 0.0153730i
\(397\) 14.5476 + 15.6786i 0.730125 + 0.786888i 0.983583 0.180459i \(-0.0577582\pi\)
−0.253457 + 0.967347i \(0.581568\pi\)
\(398\) 26.9624 + 25.0174i 1.35150 + 1.25401i
\(399\) −19.1727 + 9.04474i −0.959838 + 0.452803i
\(400\) 37.4677 34.7649i 1.87338 1.73825i
\(401\) −27.9074 2.09137i −1.39363 0.104438i −0.643357 0.765566i \(-0.722459\pi\)
−0.750273 + 0.661128i \(0.770078\pi\)
\(402\) −10.8219 1.68444i −0.539748 0.0840121i
\(403\) 0.0299714 + 0.399941i 0.00149298 + 0.0199225i
\(404\) −2.23998 0.337623i −0.111443 0.0167974i
\(405\) 22.5414 27.1762i 1.12009 1.35039i
\(406\) 20.8073 + 10.1023i 1.03265 + 0.501368i
\(407\) −3.29011 0.246559i −0.163085 0.0122215i
\(408\) 13.5949 16.8803i 0.673050 0.835697i
\(409\) 0.770467 + 0.614427i 0.0380971 + 0.0303815i 0.642353 0.766409i \(-0.277958\pi\)
−0.604256 + 0.796790i \(0.706530\pi\)
\(410\) 34.1790i 1.68798i
\(411\) −8.39460 + 5.66437i −0.414075 + 0.279403i
\(412\) −6.27702 + 2.46355i −0.309246 + 0.121370i
\(413\) −31.7326 21.7837i −1.56146 1.07191i
\(414\) −23.7680 + 7.08170i −1.16813 + 0.348046i
\(415\) −14.0840 + 35.8854i −0.691355 + 1.76154i
\(416\) −0.802407 0.547072i −0.0393412 0.0268224i
\(417\) 3.77364 6.46410i 0.184796 0.316548i
\(418\) −0.698489 4.63417i −0.0341642 0.226665i
\(419\) −5.31137 + 13.5332i −0.259477 + 0.661138i −0.999940 0.0109599i \(-0.996511\pi\)
0.740462 + 0.672098i \(0.234607\pi\)
\(420\) −3.69171 12.3175i −0.180137 0.601032i
\(421\) −6.97887 17.7819i −0.340129 0.866635i −0.993935 0.109972i \(-0.964924\pi\)
0.653806 0.756663i \(-0.273171\pi\)
\(422\) 12.5349 7.23703i 0.610190 0.352293i
\(423\) −32.4410 + 4.57085i −1.57733 + 0.222242i
\(424\) 5.62885 + 14.3421i 0.273361 + 0.696513i
\(425\) −13.6672 + 59.8800i −0.662958 + 2.90461i
\(426\) −21.9792 + 12.5491i −1.06490 + 0.608005i
\(427\) −4.83314 + 2.76987i −0.233892 + 0.134044i
\(428\) 5.49199 0.411568i 0.265465 0.0198939i
\(429\) −0.114743 0.241229i −0.00553985 0.0116467i
\(430\) 37.1448 2.78362i 1.79128 0.134238i
\(431\) 0.259687 0.279876i 0.0125087 0.0134811i −0.726767 0.686885i \(-0.758978\pi\)
0.739275 + 0.673403i \(0.235168\pi\)
\(432\) −20.2111 + 15.6459i −0.972409 + 0.752766i
\(433\) −30.2323 + 6.90032i −1.45287 + 0.331608i −0.874842 0.484409i \(-0.839035\pi\)
−0.578028 + 0.816017i \(0.696178\pi\)
\(434\) 5.12462 4.72458i 0.245990 0.226787i
\(435\) 13.0092 + 33.6218i 0.623744 + 1.61204i
\(436\) −5.14327 1.58649i −0.246318 0.0759790i
\(437\) 14.4701 + 18.1450i 0.692200 + 0.867992i
\(438\) −0.189183 0.0441386i −0.00903952 0.00210903i
\(439\) 0.217748 0.452158i 0.0103925 0.0215803i −0.895708 0.444643i \(-0.853331\pi\)
0.906101 + 0.423062i \(0.139045\pi\)
\(440\) −5.10613 −0.243425
\(441\) 20.7127 + 3.46196i 0.986318 + 0.164855i
\(442\) 2.44334 0.116218
\(443\) 10.4891 21.7809i 0.498354 1.03484i −0.488400 0.872620i \(-0.662419\pi\)
0.986754 0.162223i \(-0.0518665\pi\)
\(444\) −4.54538 + 4.85172i −0.215714 + 0.230252i
\(445\) −1.23151 1.54426i −0.0583792 0.0732051i
\(446\) −21.0749 6.50076i −0.997927 0.307820i
\(447\) −7.82346 + 9.71405i −0.370037 + 0.459459i
\(448\) −0.654668 9.12701i −0.0309301 0.431211i
\(449\) 11.8284 2.69977i 0.558219 0.127410i 0.0659025 0.997826i \(-0.479007\pi\)
0.492317 + 0.870416i \(0.336150\pi\)
\(450\) 22.7314 46.0628i 1.07157 2.17142i
\(451\) −2.21095 + 2.38284i −0.104110 + 0.112204i
\(452\) 14.4883 1.08575i 0.681471 0.0510692i
\(453\) 28.8271 + 2.29983i 1.35441 + 0.108056i
\(454\) −45.2611 + 3.39185i −2.12421 + 0.159187i
\(455\) −1.47362 + 2.14664i −0.0690843 + 0.100636i
\(456\) 14.6490 + 8.55186i 0.686003 + 0.400477i
\(457\) 4.19721 18.3892i 0.196337 0.860209i −0.776757 0.629801i \(-0.783137\pi\)
0.973094 0.230409i \(-0.0740063\pi\)
\(458\) 10.9874 + 27.9953i 0.513406 + 1.30814i
\(459\) 9.47589 29.2159i 0.442297 1.36368i
\(460\) −12.1915 + 7.03878i −0.568433 + 0.328185i
\(461\) 10.5338 + 26.8396i 0.490607 + 1.25005i 0.935138 + 0.354283i \(0.115275\pi\)
−0.444531 + 0.895763i \(0.646630\pi\)
\(462\) −2.04773 + 4.16649i −0.0952689 + 0.193843i
\(463\) −6.81383 + 17.3614i −0.316666 + 0.806851i 0.680580 + 0.732674i \(0.261728\pi\)
−0.997245 + 0.0741766i \(0.976367\pi\)
\(464\) −3.88958 25.8056i −0.180569 1.19800i
\(465\) 10.8637 + 0.0522752i 0.503791 + 0.00242420i
\(466\) −40.2879 27.4679i −1.86630 1.27242i
\(467\) 2.74679 6.99871i 0.127106 0.323862i −0.853128 0.521702i \(-0.825297\pi\)
0.980234 + 0.197840i \(0.0633926\pi\)
\(468\) −0.523601 0.124822i −0.0242035 0.00576989i
\(469\) 3.73940 9.43907i 0.172669 0.435856i
\(470\) −65.7157 + 25.7915i −3.03124 + 1.18967i
\(471\) 2.41410 + 34.4367i 0.111236 + 1.58676i
\(472\) 30.7980i 1.41760i
\(473\) −2.76967 2.20874i −0.127350 0.101558i
\(474\) −10.5383 1.64029i −0.484040 0.0753411i
\(475\) −47.9340 3.59216i −2.19936 0.164819i
\(476\) −6.94626 8.76763i −0.318381 0.401864i
\(477\) 14.6957 + 16.1471i 0.672871 + 0.739327i
\(478\) 12.9083 + 1.94562i 0.590412 + 0.0889904i
\(479\) −2.28204 30.4517i −0.104269 1.39138i −0.766581 0.642148i \(-0.778044\pi\)
0.662312 0.749228i \(-0.269575\pi\)
\(480\) −16.5005 + 20.4879i −0.753140 + 0.935141i
\(481\) 1.34244 + 0.100602i 0.0612099 + 0.00458705i
\(482\) 8.30367 7.70468i 0.378222 0.350939i
\(483\) −1.53448 22.9391i −0.0698211 1.04376i
\(484\) 5.56931 + 5.16757i 0.253151 + 0.234889i
\(485\) 10.4376 + 11.2490i 0.473946 + 0.510792i
\(486\) −13.3748 + 21.9299i −0.606693 + 0.994762i
\(487\) −21.5165 6.63697i −0.975007 0.300750i −0.233992 0.972238i \(-0.575179\pi\)
−0.741015 + 0.671488i \(0.765655\pi\)
\(488\) 4.01591 + 1.93396i 0.181792 + 0.0875464i
\(489\) −14.2685 21.1459i −0.645242 0.956251i
\(490\) 45.1458 3.09335i 2.03948 0.139743i
\(491\) −16.2940 + 9.40733i −0.735336 + 0.424547i −0.820371 0.571831i \(-0.806233\pi\)
0.0850348 + 0.996378i \(0.472900\pi\)
\(492\) 0.945055 + 6.48150i 0.0426064 + 0.292209i
\(493\) 21.3304 + 22.9887i 0.960674 + 1.03536i
\(494\) 0.284999 + 1.89085i 0.0128227 + 0.0850733i
\(495\) −6.76080 + 2.57861i −0.303876 + 0.115900i
\(496\) −7.66712 1.74997i −0.344264 0.0785760i
\(497\) −6.84390 22.4416i −0.306991 1.00664i
\(498\) 6.37218 27.3119i 0.285544 1.22387i
\(499\) 0.510650 6.81415i 0.0228598 0.305043i −0.974041 0.226373i \(-0.927313\pi\)
0.996901 0.0786709i \(-0.0250676\pi\)
\(500\) 3.36606 14.7477i 0.150535 0.659536i
\(501\) −5.77004 39.5728i −0.257786 1.76798i
\(502\) 17.1754 + 13.6969i 0.766575 + 0.611323i
\(503\) −8.64551 4.16346i −0.385484 0.185639i 0.231097 0.972931i \(-0.425769\pi\)
−0.616581 + 0.787291i \(0.711483\pi\)
\(504\) −7.09601 15.2314i −0.316081 0.678460i
\(505\) 11.1945 5.39098i 0.498148 0.239896i
\(506\) 4.95508 + 1.13096i 0.220280 + 0.0502775i
\(507\) −9.62506 20.2352i −0.427464 0.898675i
\(508\) 0.572517 0.0254013
\(509\) −9.32709 + 16.1550i −0.413416 + 0.716058i −0.995261 0.0972424i \(-0.968998\pi\)
0.581845 + 0.813300i \(0.302331\pi\)
\(510\) 5.26348 65.9747i 0.233071 2.92141i
\(511\) 0.0786534 0.162000i 0.00347942 0.00716645i
\(512\) −1.39457 + 1.11213i −0.0616318 + 0.0491498i
\(513\) 23.7148 + 3.92534i 1.04704 + 0.173308i
\(514\) −11.8809 0.890349i −0.524043 0.0392716i
\(515\) 20.8348 30.5590i 0.918091 1.34659i
\(516\) −6.96695 + 1.55493i −0.306703 + 0.0684519i
\(517\) 6.24985 + 2.45289i 0.274868 + 0.107878i
\(518\) −13.1177 19.3727i −0.576357 0.851189i
\(519\) 19.7398 28.6557i 0.866480 1.25785i
\(520\) 2.08342 0.0913638
\(521\) 12.1225 20.9968i 0.531097 0.919886i −0.468245 0.883599i \(-0.655113\pi\)
0.999341 0.0362876i \(-0.0115532\pi\)
\(522\) −12.8943 22.8384i −0.564370 0.999611i
\(523\) 5.90567 + 19.1457i 0.258237 + 0.837184i 0.988130 + 0.153622i \(0.0490938\pi\)
−0.729893 + 0.683562i \(0.760430\pi\)
\(524\) 1.02099 13.6242i 0.0446021 0.595174i
\(525\) 36.9896 + 29.9858i 1.61436 + 1.30869i
\(526\) −0.690265 9.21095i −0.0300970 0.401617i
\(527\) 8.79707 3.45260i 0.383206 0.150397i
\(528\) 5.18322 0.755755i 0.225571 0.0328900i
\(529\) −2.07292 + 0.639410i −0.0901268 + 0.0278005i
\(530\) 38.8724 + 26.5028i 1.68851 + 1.15121i
\(531\) 15.5531 + 40.7784i 0.674948 + 1.76963i
\(532\) 5.97484 6.39824i 0.259042 0.277399i
\(533\) 0.902119 0.972253i 0.0390751 0.0421130i
\(534\) 1.04865 + 0.982434i 0.0453793 + 0.0425141i
\(535\) −23.6173 + 18.8342i −1.02107 + 0.814273i
\(536\) −7.92012 + 1.80771i −0.342097 + 0.0780814i
\(537\) −19.3515 24.5070i −0.835078 1.05755i
\(538\) 2.99131 + 1.72703i 0.128964 + 0.0744577i
\(539\) −3.34751 2.70471i −0.144187 0.116500i
\(540\) −4.49836 + 13.8693i −0.193579 + 0.596839i
\(541\) −2.30888 30.8098i −0.0992664 1.32462i −0.795128 0.606442i \(-0.792596\pi\)
0.695861 0.718176i \(-0.255023\pi\)
\(542\) 32.4297 30.0904i 1.39298 1.29249i
\(543\) −4.41060 + 4.05311i −0.189277 + 0.173936i
\(544\) −6.74506 + 21.8670i −0.289192 + 0.937538i
\(545\) 28.2105 8.70179i 1.20841 0.372744i
\(546\) 0.835520 1.70002i 0.0357569 0.0727543i
\(547\) −6.30978 1.94631i −0.269787 0.0832182i 0.156910 0.987613i \(-0.449847\pi\)
−0.426697 + 0.904395i \(0.640323\pi\)
\(548\) 2.35576 3.45527i 0.100633 0.147602i
\(549\) 6.29396 + 0.532625i 0.268620 + 0.0227319i
\(550\) −8.69762 + 5.92994i −0.370868 + 0.252853i
\(551\) −15.3024 + 19.1886i −0.651905 + 0.817463i
\(552\) −14.4374 + 11.4003i −0.614498 + 0.485227i
\(553\) 3.64140 9.19169i 0.154848 0.390871i
\(554\) −15.9449 + 23.3868i −0.677433 + 0.993611i
\(555\) 5.60833 36.0315i 0.238060 1.52945i
\(556\) −0.460680 + 3.05641i −0.0195372 + 0.129621i
\(557\) 28.1033 + 16.2255i 1.19078 + 0.687495i 0.958483 0.285151i \(-0.0920437\pi\)
0.232293 + 0.972646i \(0.425377\pi\)
\(558\) −7.82614 + 1.10268i −0.331307 + 0.0466803i
\(559\) 1.13009 + 0.901216i 0.0477977 + 0.0381174i
\(560\) −31.7055 40.0190i −1.33980 1.69111i
\(561\) −4.63468 + 4.25904i −0.195676 + 0.179817i
\(562\) 11.6625 1.75784i 0.491952 0.0741498i
\(563\) −20.8656 + 10.0483i −0.879379 + 0.423487i −0.818398 0.574652i \(-0.805137\pi\)
−0.0609814 + 0.998139i \(0.519423\pi\)
\(564\) 11.7488 6.70799i 0.494713 0.282457i
\(565\) −62.3042 + 49.6860i −2.62116 + 2.09030i
\(566\) −1.00841 1.26450i −0.0423865 0.0531510i
\(567\) −17.0874 16.5837i −0.717605 0.696451i
\(568\) −11.7049 + 14.6775i −0.491127 + 0.615853i
\(569\) 21.1557i 0.886892i 0.896301 + 0.443446i \(0.146244\pi\)
−0.896301 + 0.443446i \(0.853756\pi\)
\(570\) 51.6703 3.62221i 2.16423 0.151718i
\(571\) −22.9925 + 28.8317i −0.962206 + 1.20657i 0.0161983 + 0.999869i \(0.494844\pi\)
−0.978404 + 0.206700i \(0.933728\pi\)
\(572\) 0.0808638 + 0.0750306i 0.00338109 + 0.00313719i
\(573\) 2.12579 + 3.72323i 0.0888060 + 0.155540i
\(574\) −22.9803 1.79596i −0.959177 0.0749619i
\(575\) 22.6184 46.9675i 0.943251 1.95868i
\(576\) −5.27406 + 8.93523i −0.219752 + 0.372301i
\(577\) −8.06209 11.8249i −0.335629 0.492278i 0.620910 0.783882i \(-0.286763\pi\)
−0.956539 + 0.291604i \(0.905811\pi\)
\(578\) −8.71311 28.2472i −0.362418 1.17493i
\(579\) 5.96373 3.40500i 0.247844 0.141507i
\(580\) −10.1259 10.9131i −0.420455 0.453143i
\(581\) 23.3875 + 11.3550i 0.970276 + 0.471084i
\(582\) −8.69466 7.00247i −0.360405 0.290262i
\(583\) −0.995651 4.36223i −0.0412357 0.180665i
\(584\) −0.142486 + 0.0214763i −0.00589610 + 0.000888694i
\(585\) 2.75856 1.05213i 0.114052 0.0435003i
\(586\) 31.2999 2.34560i 1.29299 0.0968960i
\(587\) 14.4544 25.0357i 0.596597 1.03334i −0.396723 0.917938i \(-0.629853\pi\)
0.993319 0.115397i \(-0.0368141\pi\)
\(588\) −8.47565 + 1.83489i −0.349530 + 0.0756697i
\(589\) 3.69801 + 6.40513i 0.152374 + 0.263919i
\(590\) 52.9777 + 77.7039i 2.18106 + 3.19902i
\(591\) −4.68208 + 1.41959i −0.192595 + 0.0583942i
\(592\) −9.64399 + 24.5725i −0.396366 + 1.00992i
\(593\) −12.9274 + 11.9948i −0.530863 + 0.492569i −0.899450 0.437024i \(-0.856032\pi\)
0.368586 + 0.929594i \(0.379842\pi\)
\(594\) 4.59637 2.56597i 0.188591 0.105283i
\(595\) 58.5695 + 18.2714i 2.40112 + 0.749053i
\(596\) 1.51818 4.92181i 0.0621870 0.201605i
\(597\) 38.6611 + 0.186034i 1.58229 + 0.00761387i
\(598\) −2.02179 0.461459i −0.0826769 0.0188705i
\(599\) −17.8552 + 37.0767i −0.729543 + 1.51491i 0.123086 + 0.992396i \(0.460721\pi\)
−0.852629 + 0.522516i \(0.824993\pi\)
\(600\) 3.03008 37.9802i 0.123702 1.55054i
\(601\) 1.65173 + 2.42264i 0.0673753 + 0.0988215i 0.858448 0.512901i \(-0.171429\pi\)
−0.791072 + 0.611723i \(0.790477\pi\)
\(602\) 0.0802324 25.1206i 0.00327003 1.02384i
\(603\) −9.57378 + 6.39321i −0.389874 + 0.260351i
\(604\) −11.4115 + 3.51997i −0.464326 + 0.143226i
\(605\) −41.2060 6.21081i −1.67526 0.252505i
\(606\) −7.49293 + 5.05595i −0.304380 + 0.205384i
\(607\) −16.2578 9.38647i −0.659885 0.380985i 0.132348 0.991203i \(-0.457748\pi\)
−0.792233 + 0.610218i \(0.791082\pi\)
\(608\) −17.7091 2.66922i −0.718199 0.108251i
\(609\) 23.2892 6.98006i 0.943724 0.282846i
\(610\) 13.4589 2.02861i 0.544937 0.0821360i
\(611\) −2.55008 1.00083i −0.103165 0.0404894i
\(612\) 0.826075 + 12.6566i 0.0333921 + 0.511611i
\(613\) 1.46259 19.5170i 0.0590736 0.788283i −0.886470 0.462786i \(-0.846850\pi\)
0.945543 0.325496i \(-0.105531\pi\)
\(614\) −12.2532 15.3651i −0.494500 0.620084i
\(615\) −24.3092 26.4533i −0.980243 1.06670i
\(616\) −0.268305 + 3.43310i −0.0108103 + 0.138324i
\(617\) −0.908538 + 6.02776i −0.0365764 + 0.242668i −0.999647 0.0265818i \(-0.991538\pi\)
0.963070 + 0.269250i \(0.0867758\pi\)
\(618\) −11.7911 + 24.1861i −0.474308 + 0.972906i
\(619\) −8.46935 + 4.88978i −0.340412 + 0.196537i −0.660454 0.750866i \(-0.729636\pi\)
0.320042 + 0.947403i \(0.396303\pi\)
\(620\) −4.17612 + 1.63900i −0.167717 + 0.0658240i
\(621\) −13.3588 + 22.3855i −0.536071 + 0.898301i
\(622\) −3.27502 6.80064i −0.131316 0.272681i
\(623\) −1.10300 + 0.746861i −0.0441906 + 0.0299223i
\(624\) −2.11487 + 0.308365i −0.0846626 + 0.0123445i
\(625\) 11.3314 + 28.8719i 0.453255 + 1.15488i
\(626\) 30.0425 + 14.4677i 1.20074 + 0.578246i
\(627\) −3.83658 3.08989i −0.153218 0.123398i
\(628\) −6.18527 12.8438i −0.246819 0.512525i
\(629\) −7.05857 30.9256i −0.281444 1.23309i
\(630\) −44.1038 26.2227i −1.75714 1.04474i
\(631\) −7.06814 + 30.9676i −0.281378 + 1.23280i 0.614649 + 0.788801i \(0.289298\pi\)
−0.896028 + 0.443999i \(0.853560\pi\)
\(632\) −7.71255 + 1.76034i −0.306789 + 0.0700225i
\(633\) 4.55433 14.5164i 0.181019 0.576976i
\(634\) −0.325855 1.42766i −0.0129413 0.0566997i
\(635\) −2.59457 + 1.76895i −0.102962 + 0.0701985i
\(636\) −8.10433 3.95099i −0.321357 0.156667i
\(637\) 1.36586 + 1.10358i 0.0541173 + 0.0437256i
\(638\) 5.37484i 0.212792i
\(639\) −8.08577 + 25.3448i −0.319868 + 1.00263i
\(640\) −15.5435 + 50.3910i −0.614413 + 1.99188i
\(641\) −40.6019 15.9351i −1.60368 0.629398i −0.616263 0.787540i \(-0.711354\pi\)
−0.987416 + 0.158142i \(0.949450\pi\)
\(642\) 15.0249 16.0375i 0.592986 0.632951i
\(643\) 1.83536 + 5.95010i 0.0723796 + 0.234649i 0.984533 0.175201i \(-0.0560574\pi\)
−0.912153 + 0.409850i \(0.865581\pi\)
\(644\) 4.09191 + 8.56682i 0.161244 + 0.337580i
\(645\) 26.7689 28.5730i 1.05402 1.12506i
\(646\) 40.5957 19.5499i 1.59722 0.769179i
\(647\) −24.1178 22.3780i −0.948167 0.879771i 0.0446993 0.999000i \(-0.485767\pi\)
−0.992867 + 0.119230i \(0.961957\pi\)
\(648\) −3.20179 + 18.7821i −0.125778 + 0.737832i
\(649\) 1.33305 8.84423i 0.0523269 0.347166i
\(650\) 3.54883 2.41955i 0.139196 0.0949025i
\(651\) 0.605986 7.30145i 0.0237505 0.286166i
\(652\) 8.70379 + 5.93414i 0.340867 + 0.232399i
\(653\) −21.2544 + 22.9068i −0.831748 + 0.896411i −0.995940 0.0900172i \(-0.971308\pi\)
0.164192 + 0.986428i \(0.447498\pi\)
\(654\) −19.3951 + 9.22546i −0.758407 + 0.360744i
\(655\) 37.4686 + 64.8975i 1.46402 + 2.53575i
\(656\) 13.0036 + 22.5228i 0.507704 + 0.879369i
\(657\) −0.177813 + 0.100392i −0.00693716 + 0.00391665i
\(658\) 13.8878 + 45.5391i 0.541404 + 1.77530i
\(659\) −1.34431 8.91891i −0.0523669 0.347431i −0.999636 0.0269914i \(-0.991407\pi\)
0.947269 0.320440i \(-0.103831\pi\)
\(660\) 2.20016 2.02184i 0.0856411 0.0786999i
\(661\) −0.368358 0.764904i −0.0143275 0.0297513i 0.893682 0.448700i \(-0.148113\pi\)
−0.908010 + 0.418949i \(0.862399\pi\)
\(662\) 14.0618 + 29.1997i 0.546529 + 1.13488i
\(663\) 1.89106 1.73778i 0.0734425 0.0674900i
\(664\) −3.10047 20.5703i −0.120321 0.798281i
\(665\) −7.30806 + 47.4569i −0.283394 + 1.84030i
\(666\) −0.255302 + 26.5274i −0.00989274 + 1.02792i
\(667\) −13.3085 23.0510i −0.515306 0.892537i
\(668\) 8.25724 + 14.3020i 0.319482 + 0.553359i
\(669\) −20.9348 + 9.95784i −0.809385 + 0.384992i
\(670\) −16.8730 + 18.1848i −0.651861 + 0.702539i
\(671\) −1.06954 0.729197i −0.0412889 0.0281503i
\(672\) 12.9080 + 12.1706i 0.497937 + 0.469492i
\(673\) 3.86672 2.63629i 0.149051 0.101621i −0.486498 0.873682i \(-0.661726\pi\)
0.635549 + 0.772060i \(0.280774\pi\)
\(674\) −3.58740 + 23.8008i −0.138181 + 0.916773i
\(675\) −15.1682 51.8182i −0.583823 1.99448i
\(676\) 6.78314 + 6.29383i 0.260890 + 0.242071i
\(677\) −38.4688 + 18.5256i −1.47848 + 0.711996i −0.987271 0.159048i \(-0.949158\pi\)
−0.491205 + 0.871044i \(0.663443\pi\)
\(678\) 39.6369 42.3082i 1.52224 1.62484i
\(679\) 8.11173 6.42661i 0.311300 0.246631i
\(680\) −14.4702 46.9111i −0.554905 1.79896i
\(681\) −32.6180 + 34.8163i −1.24992 + 1.33416i
\(682\) 1.50773 + 0.591740i 0.0577339 + 0.0226589i
\(683\) −10.5682 + 34.2613i −0.404381 + 1.31097i 0.493120 + 0.869961i \(0.335856\pi\)
−0.897502 + 0.441011i \(0.854620\pi\)
\(684\) −9.69827 + 2.11558i −0.370823 + 0.0808913i
\(685\) 22.9376i 0.876401i
\(686\) 0.292405 30.5163i 0.0111641 1.16512i
\(687\) 28.4150 + 13.8528i 1.08410 + 0.528516i
\(688\) −23.4182 + 15.9662i −0.892810 + 0.608707i
\(689\) 0.406248 + 1.77989i 0.0154768 + 0.0678084i
\(690\) −16.8156 + 53.5978i −0.640158 + 2.04043i
\(691\) 15.8416 3.61574i 0.602643 0.137549i 0.0896955 0.995969i \(-0.471411\pi\)
0.512948 + 0.858420i \(0.328553\pi\)
\(692\) −3.19748 + 14.0091i −0.121550 + 0.532546i
\(693\) 1.37848 + 4.68112i 0.0523641 + 0.177821i
\(694\) 0.307972 + 1.34931i 0.0116904 + 0.0512192i
\(695\) −7.35589 15.2747i −0.279025 0.579401i
\(696\) −15.1511 12.2023i −0.574302 0.462529i
\(697\) −28.1572 13.5598i −1.06653 0.513615i
\(698\) −18.5859 47.3561i −0.703487 1.79246i
\(699\) −50.7174 + 7.39500i −1.91831 + 0.279705i
\(700\) −18.7713 5.85591i −0.709489 0.221333i
\(701\) −3.30209 6.85687i −0.124718 0.258980i 0.829256 0.558869i \(-0.188765\pi\)
−0.953974 + 0.299889i \(0.903050\pi\)
\(702\) −1.87542 + 1.04697i −0.0707833 + 0.0395155i
\(703\) 23.1093 9.06974i 0.871584 0.342072i
\(704\) 1.84146 1.06317i 0.0694026 0.0400696i
\(705\) −32.5177 + 66.7008i −1.22469 + 2.51210i
\(706\) −4.86304 + 32.2642i −0.183023 + 1.21428i
\(707\) −3.03640 7.80988i −0.114196 0.293721i
\(708\) −12.1949 13.2705i −0.458312 0.498734i
\(709\) 12.6152 + 15.8189i 0.473773 + 0.594093i 0.960090 0.279690i \(-0.0902316\pi\)
−0.486317 + 0.873782i \(0.661660\pi\)
\(710\) −4.28399 + 57.1658i −0.160775 + 2.14540i
\(711\) −9.32287 + 6.22565i −0.349635 + 0.233480i
\(712\) 0.992179 + 0.389402i 0.0371835 + 0.0145934i
\(713\) −7.93136 + 1.19546i −0.297032 + 0.0447703i
\(714\) −44.0815 7.00558i −1.64971 0.262177i
\(715\) −0.598292 0.0901780i −0.0223748 0.00337246i
\(716\) 11.1673 + 6.44745i 0.417342 + 0.240953i
\(717\) 11.3743 7.67498i 0.424782 0.286627i
\(718\) 49.1743 + 7.41183i 1.83517 + 0.276607i
\(719\) 2.50768 0.773517i 0.0935207 0.0288473i −0.247642 0.968852i \(-0.579656\pi\)
0.341162 + 0.940004i \(0.389179\pi\)
\(720\) 3.77054 + 57.7696i 0.140520 + 2.15295i
\(721\) −19.4516 15.6140i −0.724414 0.581496i
\(722\) 2.22784 + 3.26765i 0.0829117 + 0.121609i
\(723\) 0.946911 11.8690i 0.0352160 0.441412i
\(724\) 1.07326 2.22865i 0.0398875 0.0828272i
\(725\) 53.7462 + 12.2672i 1.99608 + 0.455593i
\(726\) 30.3157 + 0.145877i 1.12512 + 0.00541400i
\(727\) 0.424052 1.37474i 0.0157272 0.0509864i −0.947369 0.320143i \(-0.896269\pi\)
0.963096 + 0.269157i \(0.0867451\pi\)
\(728\) 0.109474 1.40078i 0.00405739 0.0519165i
\(729\) 5.24569 + 26.4855i 0.194285 + 0.980945i
\(730\) −0.322551 + 0.299283i −0.0119381 + 0.0110770i
\(731\) 12.4432 31.7049i 0.460230 1.17265i
\(732\) −2.49618 + 0.756834i −0.0922614 + 0.0279734i
\(733\) −3.84559 5.64044i −0.142040 0.208334i 0.748626 0.662992i \(-0.230714\pi\)
−0.890666 + 0.454658i \(0.849761\pi\)
\(734\) −2.69386 4.66591i −0.0994324 0.172222i
\(735\) 32.7411 34.5033i 1.20767 1.27267i
\(736\) 9.71120 16.8203i 0.357959 0.620004i
\(737\) 2.35265 0.176307i 0.0866611 0.00649435i
\(738\) 20.2767 + 16.4918i 0.746394 + 0.607072i
\(739\) 29.8392 4.49754i 1.09765 0.165445i 0.424848 0.905265i \(-0.360327\pi\)
0.672805 + 0.739820i \(0.265089\pi\)
\(740\) 3.35082 + 14.6809i 0.123179 + 0.539681i
\(741\) 1.56541 + 1.26074i 0.0575068 + 0.0463146i
\(742\) 19.8617 24.7432i 0.729146 0.908353i
\(743\) −18.5907 20.0361i −0.682028 0.735051i 0.293249 0.956036i \(-0.405263\pi\)
−0.975277 + 0.220985i \(0.929073\pi\)
\(744\) −5.09101 + 2.90672i −0.186645 + 0.106566i
\(745\) 8.32711 + 26.9958i 0.305082 + 0.989050i
\(746\) −13.3403 19.5666i −0.488423 0.716385i
\(747\) −14.4933 25.6704i −0.530280 0.939233i
\(748\) 1.12779 2.34188i 0.0412361 0.0856276i
\(749\) 11.4222 + 16.8687i 0.417357 + 0.616370i
\(750\) −29.9286 52.4188i −1.09284 1.91406i
\(751\) 16.1428 + 14.9784i 0.589061 + 0.546568i 0.917387 0.397996i \(-0.130294\pi\)
−0.328326 + 0.944564i \(0.606485\pi\)
\(752\) 33.4920 41.9976i 1.22133 1.53149i
\(753\) 23.0348 1.61479i 0.839434 0.0588464i
\(754\) 2.19306i 0.0798664i
\(755\) 40.8393 51.2109i 1.48629 1.86375i
\(756\) 9.08863 + 3.75324i 0.330550 + 0.136504i
\(757\) 5.65993 + 7.09733i 0.205714 + 0.257957i 0.873976 0.485969i \(-0.161533\pi\)
−0.668263 + 0.743926i \(0.732962\pi\)
\(758\) 2.23351 1.78116i 0.0811247 0.0646948i
\(759\) 4.63942 2.64889i 0.168400 0.0961486i
\(760\) 34.6156 16.6700i 1.25564 0.604684i
\(761\) 21.1771 3.19193i 0.767669 0.115708i 0.246479 0.969148i \(-0.420726\pi\)
0.521190 + 0.853441i \(0.325488\pi\)
\(762\) 1.68212 1.54579i 0.0609369 0.0559980i
\(763\) −4.36830 19.4246i −0.158143 0.703216i
\(764\) −1.38421 1.10387i −0.0500790 0.0399367i
\(765\) −42.8496 54.8055i −1.54923 1.98150i
\(766\) 14.3652 + 8.29375i 0.519035 + 0.299665i
\(767\) −0.543916 + 3.60865i −0.0196397 + 0.130301i
\(768\) 4.05769 26.0693i 0.146419 0.940693i
\(769\) 18.9640 27.8151i 0.683860 1.00304i −0.314690 0.949195i \(-0.601900\pi\)
0.998549 0.0538433i \(-0.0171471\pi\)
\(770\) 5.22856 + 9.12330i 0.188424 + 0.328781i
\(771\) −9.82860 + 7.76097i −0.353968 + 0.279504i
\(772\) −1.76814 + 2.21718i −0.0636367 + 0.0797979i