Properties

Label 177.2.e.a.28.2
Level $177$
Weight $2$
Character 177.28
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 28.2
Character \(\chi\) \(=\) 177.28
Dual form 177.2.e.a.19.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.454038 - 0.856407i) q^{2} +(-0.725995 - 0.687699i) q^{3} +(0.595092 - 0.877695i) q^{4} +(3.60206 + 0.792874i) q^{5} +(-0.259321 + 0.933989i) q^{6} +(1.56865 + 1.19245i) q^{7} +(-2.94914 - 0.320738i) q^{8} +(0.0541389 + 0.998533i) q^{9} +O(q^{10})\) \(q+(-0.454038 - 0.856407i) q^{2} +(-0.725995 - 0.687699i) q^{3} +(0.595092 - 0.877695i) q^{4} +(3.60206 + 0.792874i) q^{5} +(-0.259321 + 0.933989i) q^{6} +(1.56865 + 1.19245i) q^{7} +(-2.94914 - 0.320738i) q^{8} +(0.0541389 + 0.998533i) q^{9} +(-0.956451 - 3.44483i) q^{10} +(-0.731304 + 1.83543i) q^{11} +(-1.03562 + 0.227958i) q^{12} +(0.326231 - 6.01697i) q^{13} +(0.309001 - 1.88482i) q^{14} +(-2.06982 - 3.05276i) q^{15} +(0.279337 + 0.701084i) q^{16} +(-1.98052 + 1.50555i) q^{17} +(0.830570 - 0.499737i) q^{18} +(-0.510808 - 0.172111i) q^{19} +(2.83946 - 2.68968i) q^{20} +(-0.318781 - 1.94448i) q^{21} +(1.90392 - 0.207064i) q^{22} +(-2.30855 - 1.38901i) q^{23} +(1.92049 + 2.26097i) q^{24} +(7.80833 + 3.61252i) q^{25} +(-5.30110 + 2.45255i) q^{26} +(0.647386 - 0.762162i) q^{27} +(1.98010 - 0.667174i) q^{28} +(-4.68698 + 8.84059i) q^{29} +(-1.67463 + 3.15868i) q^{30} +(-6.98124 + 2.35225i) q^{31} +(-3.36739 + 3.96440i) q^{32} +(1.79315 - 0.829599i) q^{33} +(2.18860 + 1.01255i) q^{34} +(4.70490 + 5.53904i) q^{35} +(0.908625 + 0.546702i) q^{36} +(8.07738 - 0.878468i) q^{37} +(0.0845291 + 0.515605i) q^{38} +(-4.37471 + 4.14394i) q^{39} +(-10.3687 - 3.49361i) q^{40} +(4.71579 - 2.83740i) q^{41} +(-1.52052 + 1.15587i) q^{42} +(1.43226 + 3.59471i) q^{43} +(1.17576 + 1.73411i) q^{44} +(-0.596699 + 3.63971i) q^{45} +(-0.141387 + 2.60772i) q^{46} +(-1.10146 + 0.242450i) q^{47} +(0.279337 - 0.701084i) q^{48} +(-0.833992 - 3.00377i) q^{49} +(-0.451495 - 8.32733i) q^{50} +(2.47322 + 0.268978i) q^{51} +(-5.08693 - 3.86698i) q^{52} +(2.40290 - 8.65448i) q^{53} +(-0.946659 - 0.208375i) q^{54} +(-4.08947 + 6.03152i) q^{55} +(-4.24369 - 4.01984i) q^{56} +(0.252484 + 0.476234i) q^{57} +9.69921 q^{58} +(3.58219 + 6.79470i) q^{59} -3.91113 q^{60} +(4.54005 + 8.56344i) q^{61} +(5.18424 + 4.91077i) q^{62} +(-1.10578 + 1.63091i) q^{63} +(6.39815 + 1.40834i) q^{64} +(5.94580 - 21.4148i) q^{65} +(-1.52463 - 1.15900i) q^{66} +(-10.7277 - 1.16671i) q^{67} +(0.142824 + 2.63423i) q^{68} +(0.720777 + 2.59600i) q^{69} +(2.60747 - 6.54425i) q^{70} +(1.03135 - 0.227018i) q^{71} +(0.160605 - 2.96218i) q^{72} +(-1.59885 + 9.75254i) q^{73} +(-4.41977 - 6.51867i) q^{74} +(-3.18449 - 7.99246i) q^{75} +(-0.455039 + 0.345912i) q^{76} +(-3.33583 + 2.00710i) q^{77} +(5.53519 + 1.86502i) q^{78} +(-6.95616 + 6.58922i) q^{79} +(0.450320 + 2.74683i) q^{80} +(-0.994138 + 0.108119i) q^{81} +(-4.57111 - 2.75035i) q^{82} +(-2.31576 - 2.72632i) q^{83} +(-1.89636 - 0.877349i) q^{84} +(-8.32767 + 3.85279i) q^{85} +(2.42823 - 2.85874i) q^{86} +(9.48239 - 3.19499i) q^{87} +(2.74541 - 5.17839i) q^{88} +(2.07887 - 3.92116i) q^{89} +(3.38799 - 1.14155i) q^{90} +(7.68671 - 9.04949i) q^{91} +(-2.59293 + 1.19962i) q^{92} +(6.68599 + 3.09327i) q^{93} +(0.707741 + 0.833217i) q^{94} +(-1.70350 - 1.02496i) q^{95} +(5.17103 - 0.562383i) q^{96} +(-1.55157 - 9.46414i) q^{97} +(-2.19378 + 2.07806i) q^{98} +(-1.87233 - 0.630863i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + O(q^{10}) \) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + 88q^{10} - 14q^{11} - 9q^{12} - 12q^{13} - q^{14} - 2q^{15} - 41q^{16} - 16q^{17} - q^{18} - 10q^{19} - 32q^{20} + 27q^{21} - 26q^{22} - 22q^{23} - 9q^{24} + 27q^{25} - 56q^{26} - 5q^{27} - 50q^{28} - 24q^{29} - 28q^{30} - 24q^{31} + 106q^{32} - 14q^{33} - 54q^{34} - 70q^{35} - 9q^{36} - 28q^{37} - 80q^{38} - 12q^{39} - 50q^{40} - 40q^{41} - 30q^{42} + 4q^{43} - 104q^{44} - 2q^{45} - 28q^{46} + 31q^{47} - 41q^{48} - q^{49} + 39q^{50} - 16q^{51} + 62q^{52} + 4q^{53} - q^{54} + 5q^{55} + 96q^{56} - 10q^{57} + 128q^{58} - q^{59} - 32q^{60} - 16q^{61} + 223q^{62} - 2q^{63} + 97q^{64} + 121q^{65} - 26q^{66} - 12q^{67} + 10q^{68} + 36q^{69} - 2q^{70} - 22q^{71} - 9q^{72} + 179q^{73} - 38q^{74} - 31q^{75} + 112q^{76} - 62q^{77} - 56q^{78} - 84q^{79} + 204q^{80} - 5q^{81} - 152q^{82} - 88q^{83} + 95q^{84} - 118q^{85} - 118q^{86} + 34q^{87} + 18q^{88} - 86q^{89} - 28q^{90} + 78q^{91} - 174q^{92} - 24q^{93} - 164q^{94} + 218q^{95} - 39q^{96} - 84q^{97} + 129q^{98} - 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{10}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.454038 0.856407i −0.321054 0.605571i 0.669482 0.742828i \(-0.266516\pi\)
−0.990535 + 0.137257i \(0.956171\pi\)
\(3\) −0.725995 0.687699i −0.419154 0.397043i
\(4\) 0.595092 0.877695i 0.297546 0.438847i
\(5\) 3.60206 + 0.792874i 1.61089 + 0.354584i 0.927018 0.375017i \(-0.122363\pi\)
0.683873 + 0.729601i \(0.260294\pi\)
\(6\) −0.259321 + 0.933989i −0.105867 + 0.381300i
\(7\) 1.56865 + 1.19245i 0.592893 + 0.450706i 0.858098 0.513487i \(-0.171646\pi\)
−0.265205 + 0.964192i \(0.585439\pi\)
\(8\) −2.94914 0.320738i −1.04268 0.113398i
\(9\) 0.0541389 + 0.998533i 0.0180463 + 0.332844i
\(10\) −0.956451 3.44483i −0.302457 1.08935i
\(11\) −0.731304 + 1.83543i −0.220496 + 0.553404i −0.997059 0.0766358i \(-0.975582\pi\)
0.776563 + 0.630040i \(0.216961\pi\)
\(12\) −1.03562 + 0.227958i −0.298959 + 0.0658059i
\(13\) 0.326231 6.01697i 0.0904801 1.66881i −0.503248 0.864142i \(-0.667862\pi\)
0.593728 0.804665i \(-0.297655\pi\)
\(14\) 0.309001 1.88482i 0.0825839 0.503740i
\(15\) −2.06982 3.05276i −0.534426 0.788219i
\(16\) 0.279337 + 0.701084i 0.0698344 + 0.175271i
\(17\) −1.98052 + 1.50555i −0.480347 + 0.365150i −0.817150 0.576425i \(-0.804447\pi\)
0.336803 + 0.941575i \(0.390654\pi\)
\(18\) 0.830570 0.499737i 0.195767 0.117789i
\(19\) −0.510808 0.172111i −0.117187 0.0394850i 0.260097 0.965583i \(-0.416245\pi\)
−0.377284 + 0.926097i \(0.623142\pi\)
\(20\) 2.83946 2.68968i 0.634923 0.601431i
\(21\) −0.318781 1.94448i −0.0695636 0.424319i
\(22\) 1.90392 0.207064i 0.405917 0.0441461i
\(23\) −2.30855 1.38901i −0.481366 0.289628i 0.254115 0.967174i \(-0.418216\pi\)
−0.735481 + 0.677546i \(0.763044\pi\)
\(24\) 1.92049 + 2.26097i 0.392018 + 0.461519i
\(25\) 7.80833 + 3.61252i 1.56167 + 0.722504i
\(26\) −5.30110 + 2.45255i −1.03963 + 0.480984i
\(27\) 0.647386 0.762162i 0.124590 0.146678i
\(28\) 1.98010 0.667174i 0.374204 0.126084i
\(29\) −4.68698 + 8.84059i −0.870351 + 1.64166i −0.108319 + 0.994116i \(0.534547\pi\)
−0.762032 + 0.647540i \(0.775798\pi\)
\(30\) −1.67463 + 3.15868i −0.305744 + 0.576693i
\(31\) −6.98124 + 2.35225i −1.25387 + 0.422477i −0.866374 0.499395i \(-0.833556\pi\)
−0.387493 + 0.921873i \(0.626659\pi\)
\(32\) −3.36739 + 3.96440i −0.595277 + 0.700814i
\(33\) 1.79315 0.829599i 0.312147 0.144415i
\(34\) 2.18860 + 1.01255i 0.375341 + 0.173651i
\(35\) 4.70490 + 5.53904i 0.795273 + 0.936268i
\(36\) 0.908625 + 0.546702i 0.151438 + 0.0911170i
\(37\) 8.07738 0.878468i 1.32791 0.144419i 0.583486 0.812123i \(-0.301688\pi\)
0.744427 + 0.667704i \(0.232723\pi\)
\(38\) 0.0845291 + 0.515605i 0.0137124 + 0.0836421i
\(39\) −4.37471 + 4.14394i −0.700514 + 0.663562i
\(40\) −10.3687 3.49361i −1.63943 0.552389i
\(41\) 4.71579 2.83740i 0.736482 0.443127i −0.0972751 0.995258i \(-0.531013\pi\)
0.833758 + 0.552131i \(0.186185\pi\)
\(42\) −1.52052 + 1.15587i −0.234622 + 0.178355i
\(43\) 1.43226 + 3.59471i 0.218418 + 0.548189i 0.996830 0.0795660i \(-0.0253534\pi\)
−0.778411 + 0.627755i \(0.783974\pi\)
\(44\) 1.17576 + 1.73411i 0.177252 + 0.261427i
\(45\) −0.596699 + 3.63971i −0.0889507 + 0.542575i
\(46\) −0.141387 + 2.60772i −0.0208463 + 0.384488i
\(47\) −1.10146 + 0.242450i −0.160665 + 0.0353649i −0.294574 0.955629i \(-0.595178\pi\)
0.133910 + 0.990994i \(0.457247\pi\)
\(48\) 0.279337 0.701084i 0.0403189 0.101193i
\(49\) −0.833992 3.00377i −0.119142 0.429109i
\(50\) −0.451495 8.32733i −0.0638510 1.17766i
\(51\) 2.47322 + 0.268978i 0.346320 + 0.0376645i
\(52\) −5.08693 3.86698i −0.705430 0.536254i
\(53\) 2.40290 8.65448i 0.330064 1.18878i −0.593339 0.804953i \(-0.702191\pi\)
0.923403 0.383831i \(-0.125396\pi\)
\(54\) −0.946659 0.208375i −0.128824 0.0283563i
\(55\) −4.08947 + 6.03152i −0.551424 + 0.813289i
\(56\) −4.24369 4.01984i −0.567087 0.537173i
\(57\) 0.252484 + 0.476234i 0.0334423 + 0.0630788i
\(58\) 9.69921 1.27357
\(59\) 3.58219 + 6.79470i 0.466361 + 0.884594i
\(60\) −3.91113 −0.504924
\(61\) 4.54005 + 8.56344i 0.581294 + 1.09644i 0.983504 + 0.180889i \(0.0578974\pi\)
−0.402210 + 0.915548i \(0.631758\pi\)
\(62\) 5.18424 + 4.91077i 0.658399 + 0.623668i
\(63\) −1.10578 + 1.63091i −0.139315 + 0.205475i
\(64\) 6.39815 + 1.40834i 0.799768 + 0.176042i
\(65\) 5.94580 21.4148i 0.737486 2.65618i
\(66\) −1.52463 1.15900i −0.187669 0.142663i
\(67\) −10.7277 1.16671i −1.31060 0.142536i −0.573992 0.818861i \(-0.694606\pi\)
−0.736603 + 0.676325i \(0.763571\pi\)
\(68\) 0.142824 + 2.63423i 0.0173200 + 0.319448i
\(69\) 0.720777 + 2.59600i 0.0867713 + 0.312522i
\(70\) 2.60747 6.54425i 0.311652 0.782187i
\(71\) 1.03135 0.227018i 0.122399 0.0269420i −0.153349 0.988172i \(-0.549006\pi\)
0.275747 + 0.961230i \(0.411075\pi\)
\(72\) 0.160605 2.96218i 0.0189274 0.349096i
\(73\) −1.59885 + 9.75254i −0.187131 + 1.14145i 0.711481 + 0.702705i \(0.248025\pi\)
−0.898612 + 0.438743i \(0.855424\pi\)
\(74\) −4.41977 6.51867i −0.513787 0.757780i
\(75\) −3.18449 7.99246i −0.367713 0.922889i
\(76\) −0.455039 + 0.345912i −0.0521965 + 0.0396788i
\(77\) −3.33583 + 2.00710i −0.380153 + 0.228731i
\(78\) 5.53519 + 1.86502i 0.626737 + 0.211172i
\(79\) −6.95616 + 6.58922i −0.782629 + 0.741346i −0.970566 0.240836i \(-0.922579\pi\)
0.187937 + 0.982181i \(0.439820\pi\)
\(80\) 0.450320 + 2.74683i 0.0503473 + 0.307105i
\(81\) −0.994138 + 0.108119i −0.110460 + 0.0120132i
\(82\) −4.57111 2.75035i −0.504795 0.303725i
\(83\) −2.31576 2.72632i −0.254187 0.299252i 0.620237 0.784414i \(-0.287036\pi\)
−0.874424 + 0.485162i \(0.838761\pi\)
\(84\) −1.89636 0.877349i −0.206910 0.0957267i
\(85\) −8.32767 + 3.85279i −0.903263 + 0.417894i
\(86\) 2.42823 2.85874i 0.261843 0.308266i
\(87\) 9.48239 3.19499i 1.01662 0.342539i
\(88\) 2.74541 5.17839i 0.292661 0.552018i
\(89\) 2.07887 3.92116i 0.220360 0.415643i −0.748542 0.663087i \(-0.769246\pi\)
0.968902 + 0.247444i \(0.0795908\pi\)
\(90\) 3.38799 1.14155i 0.357126 0.120330i
\(91\) 7.68671 9.04949i 0.805786 0.948644i
\(92\) −2.59293 + 1.19962i −0.270331 + 0.125069i
\(93\) 6.68599 + 3.09327i 0.693305 + 0.320757i
\(94\) 0.707741 + 0.833217i 0.0729979 + 0.0859398i
\(95\) −1.70350 1.02496i −0.174775 0.105159i
\(96\) 5.17103 0.562383i 0.527766 0.0573980i
\(97\) −1.55157 9.46414i −0.157538 0.960937i −0.940730 0.339157i \(-0.889858\pi\)
0.783192 0.621780i \(-0.213590\pi\)
\(98\) −2.19378 + 2.07806i −0.221605 + 0.209916i
\(99\) −1.87233 0.630863i −0.188177 0.0634041i
\(100\) 7.81736 4.70355i 0.781736 0.470355i
\(101\) −7.67652 + 5.83554i −0.763843 + 0.580658i −0.912906 0.408170i \(-0.866167\pi\)
0.149064 + 0.988828i \(0.452374\pi\)
\(102\) −0.892580 2.24021i −0.0883786 0.221813i
\(103\) −1.76370 2.60126i −0.173782 0.256310i 0.730816 0.682574i \(-0.239140\pi\)
−0.904599 + 0.426264i \(0.859829\pi\)
\(104\) −2.89197 + 17.6402i −0.283581 + 1.72977i
\(105\) 0.393456 7.25687i 0.0383974 0.708198i
\(106\) −8.50276 + 1.87160i −0.825861 + 0.181786i
\(107\) 3.87188 9.71767i 0.374308 0.939443i −0.614319 0.789058i \(-0.710569\pi\)
0.988627 0.150385i \(-0.0480515\pi\)
\(108\) −0.283691 1.02176i −0.0272982 0.0983193i
\(109\) −0.519308 9.57807i −0.0497407 0.917413i −0.911807 0.410618i \(-0.865313\pi\)
0.862067 0.506795i \(-0.169170\pi\)
\(110\) 7.02221 + 0.763711i 0.669541 + 0.0728170i
\(111\) −6.46827 4.91705i −0.613941 0.466705i
\(112\) −0.397829 + 1.43285i −0.0375913 + 0.135392i
\(113\) −4.09523 0.901428i −0.385247 0.0847993i 0.0181242 0.999836i \(-0.494231\pi\)
−0.403371 + 0.915036i \(0.632162\pi\)
\(114\) 0.293213 0.432457i 0.0274619 0.0405033i
\(115\) −7.21424 6.83369i −0.672731 0.637245i
\(116\) 4.97015 + 9.37470i 0.461467 + 0.870419i
\(117\) 6.02581 0.557086
\(118\) 4.19258 6.15286i 0.385958 0.566417i
\(119\) −4.90204 −0.449369
\(120\) 5.12505 + 9.66688i 0.467851 + 0.882461i
\(121\) 5.15194 + 4.88018i 0.468358 + 0.443652i
\(122\) 5.27243 7.77626i 0.477344 0.704029i
\(123\) −5.37492 1.18311i −0.484640 0.106677i
\(124\) −2.08992 + 7.52720i −0.187680 + 0.675963i
\(125\) 10.5807 + 8.04324i 0.946367 + 0.719409i
\(126\) 1.89879 + 0.206505i 0.169157 + 0.0183970i
\(127\) 0.257141 + 4.74268i 0.0228176 + 0.420845i 0.987519 + 0.157499i \(0.0503432\pi\)
−0.964702 + 0.263346i \(0.915174\pi\)
\(128\) 1.08422 + 3.90499i 0.0958321 + 0.345156i
\(129\) 1.43226 3.59471i 0.126104 0.316497i
\(130\) −21.0394 + 4.63113i −1.84528 + 0.406177i
\(131\) 1.21302 22.3728i 0.105982 1.95472i −0.151548 0.988450i \(-0.548426\pi\)
0.257530 0.966270i \(-0.417091\pi\)
\(132\) 0.338954 2.06753i 0.0295021 0.179955i
\(133\) −0.596043 0.879098i −0.0516835 0.0762274i
\(134\) 3.87160 + 9.71699i 0.334456 + 0.839420i
\(135\) 2.93622 2.23206i 0.252710 0.192105i
\(136\) 6.32371 3.80485i 0.542254 0.326263i
\(137\) 5.27757 + 1.77822i 0.450894 + 0.151924i 0.535581 0.844484i \(-0.320093\pi\)
−0.0846875 + 0.996408i \(0.526989\pi\)
\(138\) 1.89597 1.79596i 0.161396 0.152883i
\(139\) 3.63366 + 22.1643i 0.308203 + 1.87996i 0.454549 + 0.890722i \(0.349801\pi\)
−0.146346 + 0.989234i \(0.546751\pi\)
\(140\) 7.66143 0.833231i 0.647509 0.0704209i
\(141\) 0.966388 + 0.581456i 0.0813845 + 0.0489675i
\(142\) −0.662692 0.780182i −0.0556119 0.0654714i
\(143\) 10.8052 + 4.99901i 0.903574 + 0.418038i
\(144\) −0.684933 + 0.316884i −0.0570778 + 0.0264070i
\(145\) −23.8923 + 28.1282i −1.98415 + 2.33592i
\(146\) 9.07808 3.05876i 0.751307 0.253145i
\(147\) −1.46021 + 2.75426i −0.120436 + 0.227167i
\(148\) 4.03576 7.61225i 0.331737 0.625723i
\(149\) −16.8644 + 5.68228i −1.38159 + 0.465510i −0.909376 0.415976i \(-0.863440\pi\)
−0.472210 + 0.881486i \(0.656543\pi\)
\(150\) −5.39892 + 6.35610i −0.440820 + 0.518973i
\(151\) 6.92769 3.20509i 0.563767 0.260826i −0.117240 0.993104i \(-0.537405\pi\)
0.681007 + 0.732277i \(0.261542\pi\)
\(152\) 1.45124 + 0.671415i 0.117711 + 0.0544590i
\(153\) −1.61057 1.89611i −0.130207 0.153291i
\(154\) 3.23349 + 1.94553i 0.260562 + 0.156775i
\(155\) −27.0119 + 2.93772i −2.16965 + 0.235963i
\(156\) 1.03377 + 6.30569i 0.0827674 + 0.504859i
\(157\) 9.55139 9.04755i 0.762284 0.722073i −0.204164 0.978937i \(-0.565448\pi\)
0.966448 + 0.256863i \(0.0826890\pi\)
\(158\) 8.80142 + 2.96554i 0.700203 + 0.235926i
\(159\) −7.69618 + 4.63064i −0.610346 + 0.367233i
\(160\) −15.2728 + 11.6101i −1.20742 + 0.917860i
\(161\) −1.96497 4.93171i −0.154861 0.388673i
\(162\) 0.543971 + 0.802297i 0.0427384 + 0.0630344i
\(163\) 1.33331 8.13281i 0.104433 0.637011i −0.881797 0.471629i \(-0.843666\pi\)
0.986230 0.165382i \(-0.0528857\pi\)
\(164\) 0.315960 5.82754i 0.0246723 0.455054i
\(165\) 7.11681 1.56653i 0.554043 0.121954i
\(166\) −1.28340 + 3.22108i −0.0996109 + 0.250004i
\(167\) 0.931448 + 3.35477i 0.0720776 + 0.259600i 0.990806 0.135290i \(-0.0431965\pi\)
−0.918728 + 0.394890i \(0.870783\pi\)
\(168\) 0.316460 + 5.83677i 0.0244154 + 0.450316i
\(169\) −23.1737 2.52029i −1.78259 0.193869i
\(170\) 7.08064 + 5.38256i 0.543060 + 0.412824i
\(171\) 0.144204 0.519377i 0.0110276 0.0397177i
\(172\) 4.00739 + 0.882093i 0.305561 + 0.0672590i
\(173\) 1.73245 2.55517i 0.131716 0.194266i −0.756112 0.654442i \(-0.772903\pi\)
0.887828 + 0.460176i \(0.152214\pi\)
\(174\) −7.04158 6.67014i −0.533821 0.505662i
\(175\) 7.94075 + 14.9779i 0.600265 + 1.13222i
\(176\) −1.49107 −0.112394
\(177\) 2.07206 7.39639i 0.155745 0.555947i
\(178\) −4.30200 −0.322448
\(179\) 5.37488 + 10.1381i 0.401738 + 0.757758i 0.999019 0.0442739i \(-0.0140974\pi\)
−0.597282 + 0.802031i \(0.703753\pi\)
\(180\) 2.83946 + 2.68968i 0.211641 + 0.200477i
\(181\) −1.95990 + 2.89063i −0.145678 + 0.214859i −0.893526 0.449010i \(-0.851777\pi\)
0.747849 + 0.663869i \(0.231087\pi\)
\(182\) −11.2401 2.47413i −0.833172 0.183395i
\(183\) 2.59302 9.33921i 0.191681 0.690374i
\(184\) 6.36272 + 4.83682i 0.469066 + 0.356575i
\(185\) 29.7918 + 3.24005i 2.19033 + 0.238213i
\(186\) −0.386599 7.13039i −0.0283468 0.522826i
\(187\) −1.31498 4.73613i −0.0961608 0.346340i
\(188\) −0.442673 + 1.11103i −0.0322853 + 0.0810299i
\(189\) 1.92436 0.423585i 0.139977 0.0308113i
\(190\) −0.104330 + 1.92426i −0.00756892 + 0.139601i
\(191\) 3.91786 23.8979i 0.283487 1.72919i −0.333967 0.942585i \(-0.608387\pi\)
0.617454 0.786607i \(-0.288164\pi\)
\(192\) −3.67651 5.42245i −0.265329 0.391332i
\(193\) −6.93810 17.4133i −0.499415 1.25344i −0.935434 0.353501i \(-0.884991\pi\)
0.436019 0.899937i \(-0.356388\pi\)
\(194\) −7.40068 + 5.62585i −0.531338 + 0.403913i
\(195\) −19.0436 + 11.4582i −1.36374 + 0.820536i
\(196\) −3.13269 1.05553i −0.223764 0.0753948i
\(197\) −10.8964 + 10.3216i −0.776336 + 0.735385i −0.969316 0.245818i \(-0.920943\pi\)
0.192980 + 0.981203i \(0.438185\pi\)
\(198\) 0.309836 + 1.88992i 0.0220191 + 0.134310i
\(199\) 26.0870 2.83713i 1.84926 0.201119i 0.884911 0.465760i \(-0.154219\pi\)
0.964347 + 0.264642i \(0.0852536\pi\)
\(200\) −21.8692 13.1582i −1.54638 0.930428i
\(201\) 6.98591 + 8.22445i 0.492748 + 0.580108i
\(202\) 8.48303 + 3.92467i 0.596864 + 0.276139i
\(203\) −17.8942 + 8.27875i −1.25593 + 0.581054i
\(204\) 1.70787 2.01066i 0.119575 0.140775i
\(205\) 19.2363 6.48145i 1.34352 0.452684i
\(206\) −1.42695 + 2.69152i −0.0994205 + 0.187527i
\(207\) 1.26199 2.38036i 0.0877143 0.165447i
\(208\) 4.30953 1.45205i 0.298812 0.100682i
\(209\) 0.689455 0.811689i 0.0476906 0.0561457i
\(210\) −6.39348 + 2.95794i −0.441192 + 0.204117i
\(211\) 2.40423 + 1.11231i 0.165514 + 0.0765749i 0.500897 0.865507i \(-0.333004\pi\)
−0.335383 + 0.942082i \(0.608866\pi\)
\(212\) −6.16604 7.25923i −0.423485 0.498566i
\(213\) −0.904876 0.544446i −0.0620011 0.0373048i
\(214\) −10.0803 + 1.09629i −0.689073 + 0.0749412i
\(215\) 2.30895 + 14.0840i 0.157469 + 0.960520i
\(216\) −2.15368 + 2.04008i −0.146540 + 0.138810i
\(217\) −13.7561 4.63496i −0.933822 0.314641i
\(218\) −7.96694 + 4.79355i −0.539589 + 0.324660i
\(219\) 7.86757 5.98077i 0.531641 0.404143i
\(220\) 2.86022 + 7.17861i 0.192836 + 0.483982i
\(221\) 8.41276 + 12.4079i 0.565903 + 0.834645i
\(222\) −1.27415 + 7.77199i −0.0855156 + 0.521622i
\(223\) 0.858196 15.8285i 0.0574691 1.05995i −0.817547 0.575861i \(-0.804667\pi\)
0.875017 0.484093i \(-0.160850\pi\)
\(224\) −10.0096 + 2.20329i −0.668796 + 0.147213i
\(225\) −3.18449 + 7.99246i −0.212299 + 0.532830i
\(226\) 1.08740 + 3.91647i 0.0723329 + 0.260520i
\(227\) −0.179815 3.31650i −0.0119348 0.220124i −0.998417 0.0562528i \(-0.982085\pi\)
0.986482 0.163871i \(-0.0523980\pi\)
\(228\) 0.568239 + 0.0617998i 0.0376326 + 0.00409279i
\(229\) 3.85864 + 2.93326i 0.254986 + 0.193835i 0.724856 0.688900i \(-0.241906\pi\)
−0.469870 + 0.882736i \(0.655699\pi\)
\(230\) −2.57688 + 9.28108i −0.169914 + 0.611976i
\(231\) 3.80208 + 0.836901i 0.250159 + 0.0550641i
\(232\) 16.6581 24.5688i 1.09366 1.61302i
\(233\) −2.77099 2.62482i −0.181533 0.171957i 0.591537 0.806278i \(-0.298521\pi\)
−0.773070 + 0.634320i \(0.781280\pi\)
\(234\) −2.73595 5.16054i −0.178854 0.337355i
\(235\) −4.15976 −0.271353
\(236\) 8.09540 + 0.899403i 0.526966 + 0.0585461i
\(237\) 9.58155 0.622388
\(238\) 2.22571 + 4.19814i 0.144272 + 0.272125i
\(239\) −19.1146 18.1064i −1.23642 1.17120i −0.978769 0.204966i \(-0.934292\pi\)
−0.257654 0.966237i \(-0.582950\pi\)
\(240\) 1.56206 2.30387i 0.100831 0.148714i
\(241\) 11.5385 + 2.53982i 0.743261 + 0.163604i 0.570429 0.821347i \(-0.306777\pi\)
0.172832 + 0.984951i \(0.444708\pi\)
\(242\) 1.84024 6.62794i 0.118295 0.426060i
\(243\) 0.796093 + 0.605174i 0.0510694 + 0.0388219i
\(244\) 10.2178 + 1.11126i 0.654130 + 0.0711409i
\(245\) −0.622482 11.4810i −0.0397689 0.733495i
\(246\) 1.42720 + 5.14029i 0.0909946 + 0.327733i
\(247\) −1.20223 + 3.01737i −0.0764960 + 0.191991i
\(248\) 21.3431 4.69797i 1.35529 0.298321i
\(249\) −0.193659 + 3.57184i −0.0122727 + 0.226356i
\(250\) 2.08424 12.7133i 0.131819 0.804061i
\(251\) 2.48782 + 3.66927i 0.157030 + 0.231602i 0.898063 0.439866i \(-0.144974\pi\)
−0.741033 + 0.671468i \(0.765664\pi\)
\(252\) 0.773396 + 1.94108i 0.0487194 + 0.122276i
\(253\) 4.23768 3.22140i 0.266421 0.202528i
\(254\) 3.94492 2.37358i 0.247526 0.148931i
\(255\) 8.69541 + 2.92983i 0.544528 + 0.183473i
\(256\) 12.3644 11.7122i 0.772777 0.732014i
\(257\) 0.748886 + 4.56801i 0.0467143 + 0.284944i 0.999845 0.0176149i \(-0.00560727\pi\)
−0.953131 + 0.302559i \(0.902159\pi\)
\(258\) −3.72884 + 0.405536i −0.232147 + 0.0252476i
\(259\) 13.7181 + 8.25391i 0.852401 + 0.512873i
\(260\) −15.2574 17.9624i −0.946224 1.11398i
\(261\) −9.08137 4.20149i −0.562123 0.260066i
\(262\) −19.7110 + 9.11927i −1.21775 + 0.563390i
\(263\) 11.2124 13.2003i 0.691387 0.813963i −0.298711 0.954344i \(-0.596557\pi\)
0.990098 + 0.140380i \(0.0448325\pi\)
\(264\) −5.55433 + 1.87147i −0.341845 + 0.115181i
\(265\) 15.5173 29.2688i 0.953221 1.79797i
\(266\) −0.482239 + 0.909599i −0.0295680 + 0.0557711i
\(267\) −4.20583 + 1.41711i −0.257393 + 0.0867257i
\(268\) −7.40797 + 8.72134i −0.452514 + 0.532740i
\(269\) 0.694763 0.321431i 0.0423604 0.0195980i −0.398595 0.917127i \(-0.630502\pi\)
0.440955 + 0.897529i \(0.354640\pi\)
\(270\) −3.24471 1.50116i −0.197467 0.0913579i
\(271\) −5.60669 6.60071i −0.340582 0.400964i 0.565030 0.825070i \(-0.308864\pi\)
−0.905613 + 0.424106i \(0.860589\pi\)
\(272\) −1.60875 0.967954i −0.0975449 0.0586908i
\(273\) −11.8038 + 1.28375i −0.714401 + 0.0776958i
\(274\) −0.873339 5.32713i −0.0527603 0.321824i
\(275\) −12.3408 + 11.6898i −0.744178 + 0.704923i
\(276\) 2.70743 + 0.912238i 0.162968 + 0.0549103i
\(277\) −16.7174 + 10.0585i −1.00445 + 0.604357i −0.919937 0.392066i \(-0.871760\pi\)
−0.0845113 + 0.996423i \(0.526933\pi\)
\(278\) 17.3319 13.1754i 1.03950 0.790205i
\(279\) −2.72676 6.84365i −0.163247 0.409719i
\(280\) −12.0988 17.8444i −0.723043 1.06641i
\(281\) 3.65118 22.2712i 0.217811 1.32859i −0.620847 0.783932i \(-0.713211\pi\)
0.838658 0.544658i \(-0.183341\pi\)
\(282\) 0.0591862 1.09162i 0.00352449 0.0650053i
\(283\) 11.5999 2.55333i 0.689542 0.151780i 0.143642 0.989630i \(-0.454119\pi\)
0.545901 + 0.837850i \(0.316188\pi\)
\(284\) 0.414497 1.04031i 0.0245958 0.0617309i
\(285\) 0.531868 + 1.91561i 0.0315051 + 0.113471i
\(286\) −0.624779 11.5234i −0.0369439 0.681391i
\(287\) 10.7809 + 1.17249i 0.636375 + 0.0692100i
\(288\) −4.14090 3.14783i −0.244005 0.185487i
\(289\) −2.89221 + 10.4168i −0.170130 + 0.612753i
\(290\) 34.9372 + 7.69025i 2.05158 + 0.451587i
\(291\) −5.38205 + 7.93793i −0.315501 + 0.465330i
\(292\) 7.60829 + 7.20696i 0.445242 + 0.421755i
\(293\) −0.808234 1.52449i −0.0472175 0.0890617i 0.858780 0.512344i \(-0.171223\pi\)
−0.905998 + 0.423282i \(0.860878\pi\)
\(294\) 3.02176 0.176232
\(295\) 7.51592 + 27.3152i 0.437594 + 1.59035i
\(296\) −24.1031 −1.40096
\(297\) 0.925462 + 1.74561i 0.0537007 + 0.101290i
\(298\) 12.5234 + 11.8628i 0.725462 + 0.687194i
\(299\) −9.11074 + 13.4373i −0.526888 + 0.777102i
\(300\) −8.91000 1.96124i −0.514419 0.113232i
\(301\) −2.03981 + 7.34675i −0.117573 + 0.423460i
\(302\) −5.89030 4.47769i −0.338948 0.257662i
\(303\) 9.58622 + 1.04256i 0.550714 + 0.0598937i
\(304\) −0.0220233 0.406197i −0.00126313 0.0232970i
\(305\) 9.56381 + 34.4457i 0.547622 + 1.97236i
\(306\) −0.892580 + 2.24021i −0.0510254 + 0.128064i
\(307\) −31.2202 + 6.87209i −1.78183 + 0.392211i −0.978978 0.203965i \(-0.934617\pi\)
−0.802854 + 0.596176i \(0.796686\pi\)
\(308\) −0.223502 + 4.12225i −0.0127352 + 0.234887i
\(309\) −0.508449 + 3.10140i −0.0289246 + 0.176432i
\(310\) 14.7803 + 21.7993i 0.839466 + 1.23812i
\(311\) −3.46625 8.69963i −0.196553 0.493311i 0.797357 0.603508i \(-0.206231\pi\)
−0.993910 + 0.110198i \(0.964852\pi\)
\(312\) 14.2307 10.8179i 0.805657 0.612444i
\(313\) 24.4439 14.7074i 1.38165 0.831311i 0.385823 0.922573i \(-0.373918\pi\)
0.995827 + 0.0912616i \(0.0290899\pi\)
\(314\) −12.0851 4.07194i −0.682001 0.229793i
\(315\) −5.27620 + 4.99788i −0.297280 + 0.281599i
\(316\) 1.64377 + 10.0266i 0.0924695 + 0.564039i
\(317\) 9.78358 1.06403i 0.549500 0.0597618i 0.170842 0.985298i \(-0.445351\pi\)
0.378658 + 0.925537i \(0.376386\pi\)
\(318\) 7.46007 + 4.48857i 0.418340 + 0.251707i
\(319\) −12.7987 15.0678i −0.716590 0.843635i
\(320\) 21.9299 + 10.1459i 1.22592 + 0.567170i
\(321\) −9.49380 + 4.39230i −0.529892 + 0.245154i
\(322\) −3.33138 + 3.92200i −0.185650 + 0.218564i
\(323\) 1.27079 0.428178i 0.0707085 0.0238245i
\(324\) −0.496708 + 0.936891i −0.0275949 + 0.0520495i
\(325\) 24.2837 45.8040i 1.34702 2.54075i
\(326\) −7.57037 + 2.55076i −0.419284 + 0.141273i
\(327\) −6.20982 + 7.31076i −0.343404 + 0.404286i
\(328\) −14.8176 + 6.85534i −0.818163 + 0.378523i
\(329\) −2.01691 0.933124i −0.111196 0.0514448i
\(330\) −4.57289 5.38362i −0.251729 0.296358i
\(331\) 12.7308 + 7.65988i 0.699750 + 0.421025i 0.820492 0.571659i \(-0.193700\pi\)
−0.120742 + 0.992684i \(0.538527\pi\)
\(332\) −3.77096 + 0.410117i −0.206958 + 0.0225081i
\(333\) 1.31448 + 8.01798i 0.0720331 + 0.439382i
\(334\) 2.45014 2.32089i 0.134066 0.126994i
\(335\) −37.7167 12.7083i −2.06069 0.694326i
\(336\) 1.27419 0.766657i 0.0695130 0.0418246i
\(337\) −12.2794 + 9.33453i −0.668899 + 0.508484i −0.883628 0.468190i \(-0.844906\pi\)
0.214729 + 0.976674i \(0.431113\pi\)
\(338\) 8.36335 + 20.9904i 0.454906 + 1.14173i
\(339\) 2.35321 + 3.47072i 0.127809 + 0.188504i
\(340\) −1.57415 + 9.60192i −0.0853705 + 0.520737i
\(341\) 0.788000 14.5338i 0.0426726 0.787050i
\(342\) −0.510272 + 0.112319i −0.0275924 + 0.00607354i
\(343\) 7.37894 18.5198i 0.398425 0.999973i
\(344\) −3.07098 11.0607i −0.165576 0.596352i
\(345\) 0.537980 + 9.92245i 0.0289639 + 0.534207i
\(346\) −2.97487 0.323536i −0.159930 0.0173934i
\(347\) −7.25962 5.51862i −0.389717 0.296255i 0.391907 0.920005i \(-0.371815\pi\)
−0.781624 + 0.623750i \(0.785608\pi\)
\(348\) 2.83867 10.2240i 0.152169 0.548062i
\(349\) −19.8250 4.36382i −1.06121 0.233590i −0.350129 0.936701i \(-0.613862\pi\)
−0.711079 + 0.703112i \(0.751793\pi\)
\(350\) 9.22173 13.6010i 0.492922 0.727006i
\(351\) −4.37471 4.14394i −0.233505 0.221187i
\(352\) −4.81381 9.07981i −0.256577 0.483955i
\(353\) −0.182220 −0.00969858 −0.00484929 0.999988i \(-0.501544\pi\)
−0.00484929 + 0.999988i \(0.501544\pi\)
\(354\) −7.27511 + 1.58372i −0.386668 + 0.0841737i
\(355\) 3.89499 0.206725
\(356\) −2.20447 4.15807i −0.116837 0.220377i
\(357\) 3.55886 + 3.37113i 0.188355 + 0.178419i
\(358\) 6.24194 9.20617i 0.329897 0.486561i
\(359\) −22.6091 4.97665i −1.19327 0.262658i −0.426441 0.904515i \(-0.640233\pi\)
−0.766824 + 0.641858i \(0.778164\pi\)
\(360\) 2.92714 10.5426i 0.154274 0.555644i
\(361\) −14.8945 11.3225i −0.783919 0.595920i
\(362\) 3.36542 + 0.366012i 0.176883 + 0.0192372i
\(363\) −0.384190 7.08597i −0.0201648 0.371917i
\(364\) −3.36840 12.1319i −0.176552 0.635882i
\(365\) −13.4917 + 33.8616i −0.706187 + 1.77240i
\(366\) −9.17549 + 2.01968i −0.479611 + 0.105570i
\(367\) −0.294974 + 5.44048i −0.0153975 + 0.283991i 0.980687 + 0.195584i \(0.0626603\pi\)
−0.996084 + 0.0884066i \(0.971823\pi\)
\(368\) 0.328947 2.00649i 0.0171476 0.104596i
\(369\) 3.08854 + 4.55526i 0.160783 + 0.237137i
\(370\) −10.7518 26.9850i −0.558959 1.40288i
\(371\) 14.0894 10.7105i 0.731484 0.556060i
\(372\) 6.69373 4.02748i 0.347054 0.208815i
\(373\) −0.183093 0.0616911i −0.00948017 0.00319424i 0.314557 0.949238i \(-0.398144\pi\)
−0.324038 + 0.946044i \(0.605040\pi\)
\(374\) −3.45900 + 3.27654i −0.178861 + 0.169426i
\(375\) −2.15021 13.1157i −0.111036 0.677292i
\(376\) 3.32612 0.361737i 0.171532 0.0186552i
\(377\) 51.6645 + 31.0855i 2.66086 + 1.60098i
\(378\) −1.23650 1.45572i −0.0635985 0.0748739i
\(379\) 30.1643 + 13.9555i 1.54944 + 0.716846i 0.993442 0.114340i \(-0.0364755\pi\)
0.555995 + 0.831186i \(0.312338\pi\)
\(380\) −1.91334 + 0.885207i −0.0981524 + 0.0454102i
\(381\) 3.07486 3.62000i 0.157530 0.185458i
\(382\) −22.2452 + 7.49528i −1.13816 + 0.383492i
\(383\) −6.22295 + 11.7377i −0.317978 + 0.599770i −0.990050 0.140716i \(-0.955060\pi\)
0.672072 + 0.740486i \(0.265404\pi\)
\(384\) 1.89833 3.58062i 0.0968735 0.182723i
\(385\) −13.6072 + 4.58482i −0.693490 + 0.233664i
\(386\) −11.7627 + 13.8481i −0.598707 + 0.704852i
\(387\) −3.51190 + 1.62478i −0.178520 + 0.0825921i
\(388\) −9.22995 4.27023i −0.468580 0.216788i
\(389\) −1.88575 2.22007i −0.0956111 0.112562i 0.712276 0.701900i \(-0.247665\pi\)
−0.807887 + 0.589338i \(0.799389\pi\)
\(390\) 18.4594 + 11.1066i 0.934726 + 0.562406i
\(391\) 6.66336 0.724684i 0.336980 0.0366488i
\(392\) 1.49613 + 9.12601i 0.0755662 + 0.460933i
\(393\) −16.2664 + 15.4084i −0.820532 + 0.777249i
\(394\) 13.7869 + 4.64534i 0.694573 + 0.234029i
\(395\) −30.2809 + 18.2194i −1.52360 + 0.916720i
\(396\) −1.66792 + 1.26792i −0.0838159 + 0.0637152i
\(397\) 13.8879 + 34.8561i 0.697015 + 1.74938i 0.661427 + 0.750009i \(0.269951\pi\)
0.0355875 + 0.999367i \(0.488670\pi\)
\(398\) −14.2742 21.0529i −0.715502 1.05529i
\(399\) −0.171830 + 1.04812i −0.00860228 + 0.0524716i
\(400\) −0.351520 + 6.48341i −0.0175760 + 0.324170i
\(401\) 20.4792 4.50781i 1.02268 0.225109i 0.328191 0.944611i \(-0.393561\pi\)
0.694490 + 0.719502i \(0.255630\pi\)
\(402\) 3.87160 9.71699i 0.193098 0.484640i
\(403\) 11.8759 + 42.7733i 0.591583 + 2.13069i
\(404\) 0.553588 + 10.2103i 0.0275420 + 0.507983i
\(405\) −3.66667 0.398775i −0.182198 0.0198153i
\(406\) 15.2146 + 11.5659i 0.755090 + 0.574005i
\(407\) −4.29465 + 15.4679i −0.212878 + 0.766717i
\(408\) −7.20758 1.58651i −0.356828 0.0785439i
\(409\) 1.28587 1.89652i 0.0635823 0.0937769i −0.794569 0.607174i \(-0.792303\pi\)
0.858151 + 0.513397i \(0.171613\pi\)
\(410\) −14.2848 13.5312i −0.705474 0.668260i
\(411\) −2.60861 4.92037i −0.128673 0.242704i
\(412\) −3.33268 −0.164189
\(413\) −2.48318 + 14.9301i −0.122189 + 0.734662i
\(414\) −2.61155 −0.128351
\(415\) −6.17987 11.6565i −0.303358 0.572194i
\(416\) 22.7551 + 21.5548i 1.11566 + 1.05681i
\(417\) 12.6044 18.5901i 0.617240 0.910360i
\(418\) −1.00817 0.221916i −0.0493114 0.0108543i
\(419\) −2.02756 + 7.30262i −0.0990529 + 0.356756i −0.996421 0.0845259i \(-0.973062\pi\)
0.897368 + 0.441282i \(0.145476\pi\)
\(420\) −6.13518 4.66384i −0.299366 0.227572i
\(421\) −29.4401 3.20180i −1.43482 0.156046i −0.642564 0.766232i \(-0.722129\pi\)
−0.792259 + 0.610185i \(0.791095\pi\)
\(422\) −0.139018 2.56403i −0.00676728 0.124815i
\(423\) −0.301726 1.08672i −0.0146704 0.0528381i
\(424\) −9.86231 + 24.7525i −0.478956 + 1.20209i
\(425\) −20.9034 + 4.60118i −1.01396 + 0.223190i
\(426\) −0.0554189 + 1.02214i −0.00268505 + 0.0495229i
\(427\) −3.08978 + 18.8468i −0.149525 + 0.912062i
\(428\) −6.22503 9.18124i −0.300898 0.443792i
\(429\) −4.40669 11.0600i −0.212757 0.533980i
\(430\) 11.0133 8.37207i 0.531107 0.403737i
\(431\) 16.3166 9.81735i 0.785941 0.472885i −0.0651679 0.997874i \(-0.520758\pi\)
0.851109 + 0.524989i \(0.175931\pi\)
\(432\) 0.715179 + 0.240972i 0.0344091 + 0.0115938i
\(433\) −23.1519 + 21.9306i −1.11261 + 1.05392i −0.114438 + 0.993430i \(0.536507\pi\)
−0.998169 + 0.0604872i \(0.980735\pi\)
\(434\) 2.27637 + 13.8852i 0.109269 + 0.666512i
\(435\) 36.6894 3.99021i 1.75912 0.191316i
\(436\) −8.71566 5.24404i −0.417404 0.251144i
\(437\) 0.940162 + 1.10684i 0.0449741 + 0.0529475i
\(438\) −8.69415 4.02234i −0.415423 0.192195i
\(439\) 31.6299 14.6335i 1.50961 0.698421i 0.521655 0.853156i \(-0.325315\pi\)
0.987956 + 0.154736i \(0.0494526\pi\)
\(440\) 13.9949 16.4761i 0.667183 0.785468i
\(441\) 2.95421 0.995389i 0.140677 0.0473995i
\(442\) 6.80649 12.8384i 0.323752 0.610660i
\(443\) −5.05965 + 9.54351i −0.240391 + 0.453426i −0.974125 0.226012i \(-0.927431\pi\)
0.733733 + 0.679437i \(0.237776\pi\)
\(444\) −8.16488 + 2.75107i −0.387488 + 0.130560i
\(445\) 10.5972 12.4760i 0.502356 0.591419i
\(446\) −13.9453 + 6.45178i −0.660328 + 0.305500i
\(447\) 16.1512 + 7.47233i 0.763924 + 0.353429i
\(448\) 8.35706 + 9.83869i 0.394834 + 0.464834i
\(449\) 7.61582 + 4.58229i 0.359413 + 0.216251i 0.683794 0.729675i \(-0.260329\pi\)
−0.324382 + 0.945926i \(0.605156\pi\)
\(450\) 8.29067 0.901665i 0.390826 0.0425049i
\(451\) 1.75918 + 10.7305i 0.0828365 + 0.505280i
\(452\) −3.22822 + 3.05793i −0.151843 + 0.143833i
\(453\) −7.23361 2.43729i −0.339865 0.114514i
\(454\) −2.75863 + 1.65981i −0.129469 + 0.0778988i
\(455\) 34.8631 26.5022i 1.63441 1.24244i
\(456\) −0.591862 1.48546i −0.0277165 0.0695631i
\(457\) −3.57752 5.27644i −0.167349 0.246822i 0.734762 0.678325i \(-0.237294\pi\)
−0.902111 + 0.431503i \(0.857983\pi\)
\(458\) 0.760096 4.63638i 0.0355170 0.216644i
\(459\) −0.134687 + 2.48415i −0.00628664 + 0.115950i
\(460\) −10.2910 + 2.26523i −0.479822 + 0.105617i
\(461\) −2.62599 + 6.59074i −0.122305 + 0.306962i −0.977363 0.211571i \(-0.932142\pi\)
0.855058 + 0.518532i \(0.173521\pi\)
\(462\) −1.00956 3.63611i −0.0469691 0.169167i
\(463\) 0.589901 + 10.8801i 0.0274150 + 0.505640i 0.979705 + 0.200445i \(0.0642388\pi\)
−0.952290 + 0.305195i \(0.901278\pi\)
\(464\) −7.50725 0.816462i −0.348515 0.0379033i
\(465\) 21.6308 + 16.4433i 1.00310 + 0.762540i
\(466\) −0.989778 + 3.56486i −0.0458506 + 0.165139i
\(467\) 24.5008 + 5.39303i 1.13376 + 0.249560i 0.741930 0.670478i \(-0.233911\pi\)
0.391831 + 0.920037i \(0.371842\pi\)
\(468\) 3.58591 5.28882i 0.165759 0.244476i
\(469\) −15.4367 14.6224i −0.712801 0.675201i
\(470\) 1.88869 + 3.56245i 0.0871188 + 0.164324i
\(471\) −13.1563 −0.606209
\(472\) −8.38504 21.1874i −0.385953 0.975231i
\(473\) −7.64528 −0.351530
\(474\) −4.35039 8.20570i −0.199820 0.376900i
\(475\) −3.36680 3.18921i −0.154480 0.146331i
\(476\) −2.91717 + 4.30250i −0.133708 + 0.197205i
\(477\) 8.77187 + 1.93084i 0.401637 + 0.0884069i
\(478\) −6.82763 + 24.5909i −0.312288 + 1.12476i
\(479\) 17.8783 + 13.5907i 0.816881 + 0.620977i 0.927895 0.372842i \(-0.121617\pi\)
−0.111014 + 0.993819i \(0.535410\pi\)
\(480\) 19.0723 + 2.07423i 0.870526 + 0.0946754i
\(481\) −2.65063 48.8879i −0.120858 2.22910i
\(482\) −3.06381 11.0348i −0.139553 0.502623i
\(483\) −1.96497 + 4.93171i −0.0894093 + 0.224400i
\(484\) 7.34918 1.61768i 0.334054 0.0735308i
\(485\) 1.91503 35.3206i 0.0869569 1.60383i
\(486\) 0.156819 0.956552i 0.00711344 0.0433901i
\(487\) −3.41544 5.03740i −0.154768 0.228266i 0.742398 0.669959i \(-0.233688\pi\)
−0.897166 + 0.441693i \(0.854378\pi\)
\(488\) −10.6426 26.7109i −0.481768 1.20915i
\(489\) −6.56091 + 4.98747i −0.296694 + 0.225541i
\(490\) −9.54978 + 5.74591i −0.431415 + 0.259574i
\(491\) 16.2996 + 5.49196i 0.735588 + 0.247849i 0.662067 0.749445i \(-0.269680\pi\)
0.0735218 + 0.997294i \(0.476576\pi\)
\(492\) −4.23698 + 4.01348i −0.191018 + 0.180942i
\(493\) −4.02730 24.5655i −0.181381 1.10637i
\(494\) 3.12995 0.340403i 0.140823 0.0153155i
\(495\) −6.24407 3.75693i −0.280650 0.168862i
\(496\) −3.59925 4.23736i −0.161611 0.190263i
\(497\) 1.88853 + 0.873729i 0.0847124 + 0.0391921i
\(498\) 3.14688 1.45590i 0.141015 0.0652404i
\(499\) 10.8733 12.8010i 0.486754 0.573051i −0.462877 0.886423i \(-0.653183\pi\)
0.949631 + 0.313372i \(0.101459\pi\)
\(500\) 13.3560 4.50016i 0.597299 0.201253i
\(501\) 1.63085 3.07611i 0.0728610 0.137430i
\(502\) 2.01282 3.79658i 0.0898365 0.169450i
\(503\) 29.1391 9.81811i 1.29925 0.437768i 0.417152 0.908837i \(-0.363028\pi\)
0.882096 + 0.471069i \(0.156132\pi\)
\(504\) 3.78419 4.45510i 0.168561 0.198446i
\(505\) −32.2782 + 14.9335i −1.43636 + 0.664531i
\(506\) −4.68290 2.16654i −0.208180 0.0963145i
\(507\) 15.0908 + 17.7663i 0.670206 + 0.789028i
\(508\) 4.31565 + 2.59664i 0.191476 + 0.115207i
\(509\) 6.28798 0.683859i 0.278710 0.0303115i 0.0323033 0.999478i \(-0.489716\pi\)
0.246406 + 0.969167i \(0.420750\pi\)
\(510\) −1.43893 8.77707i −0.0637168 0.388655i
\(511\) −14.1375 + 13.3917i −0.625406 + 0.592416i
\(512\) −7.96321 2.68312i −0.351928 0.118578i
\(513\) −0.461867 + 0.277896i −0.0203919 + 0.0122694i
\(514\) 3.57205 2.71540i 0.157556 0.119771i
\(515\) −4.29048 10.7683i −0.189061 0.474508i
\(516\) −2.30273 3.39628i −0.101372 0.149513i
\(517\) 0.360501 2.19896i 0.0158548 0.0967102i
\(518\) 0.840161 15.4959i 0.0369146 0.680849i
\(519\) −3.01494 + 0.663639i −0.132341 + 0.0291305i
\(520\) −24.4035 + 61.2483i −1.07017 + 2.68591i
\(521\) −4.06265 14.6323i −0.177988 0.641055i −0.997669 0.0682348i \(-0.978263\pi\)
0.819681 0.572820i \(-0.194151\pi\)
\(522\) 0.525105 + 9.68498i 0.0229832 + 0.423900i
\(523\) −24.6084 2.67633i −1.07605 0.117028i −0.447109 0.894479i \(-0.647546\pi\)
−0.628943 + 0.777452i \(0.716512\pi\)
\(524\) −18.9146 14.3785i −0.826290 0.628129i
\(525\) 4.53531 16.3347i 0.197937 0.712905i
\(526\) −16.3957 3.60896i −0.714885 0.157358i
\(527\) 10.2850 15.1693i 0.448024 0.660785i
\(528\) 1.08251 + 1.02541i 0.0471103 + 0.0446253i
\(529\) −7.37333 13.9076i −0.320580 0.604678i
\(530\) −32.1114 −1.39483
\(531\) −6.59080 + 3.94479i −0.286016 + 0.171189i
\(532\) −1.12628 −0.0488304
\(533\) −15.5341 29.3004i −0.672856 1.26914i
\(534\) 3.12323 + 2.95848i 0.135155 + 0.128026i
\(535\) 21.6516 31.9338i 0.936082 1.38062i
\(536\) 31.2632 + 6.88155i 1.35036 + 0.297238i
\(537\) 3.06983 11.0565i 0.132473 0.477124i
\(538\) −0.590725 0.449057i −0.0254680 0.0193602i
\(539\) 6.12311 + 0.665929i 0.263741 + 0.0286836i
\(540\) −0.211744 3.90539i −0.00911202 0.168061i
\(541\) 3.52645 + 12.7011i 0.151614 + 0.546064i 0.999864 + 0.0164689i \(0.00524245\pi\)
−0.848250 + 0.529595i \(0.822344\pi\)
\(542\) −3.10724 + 7.79858i −0.133467 + 0.334978i
\(543\) 3.41076 0.750765i 0.146370 0.0322184i
\(544\) 0.700576 12.9214i 0.0300370 0.553999i
\(545\) 5.72362 34.9126i 0.245173 1.49549i
\(546\) 6.45881 + 9.52603i 0.276411 + 0.407676i
\(547\) −0.294672 0.739572i −0.0125993 0.0316218i 0.922543 0.385895i \(-0.126107\pi\)
−0.935142 + 0.354274i \(0.884728\pi\)
\(548\) 4.70138 3.57389i 0.200833 0.152669i
\(549\) −8.30509 + 4.99701i −0.354453 + 0.213267i
\(550\) 15.6144 + 5.26112i 0.665802 + 0.224335i
\(551\) 3.91571 3.70916i 0.166815 0.158016i
\(552\) −1.29303 7.88715i −0.0550351 0.335699i
\(553\) −18.7691 + 2.04126i −0.798144 + 0.0868034i
\(554\) 16.2045 + 9.74991i 0.688463 + 0.414234i
\(555\) −19.4005 22.8400i −0.823505 0.969505i
\(556\) 21.6159 + 10.0006i 0.916718 + 0.424119i
\(557\) −20.8305 + 9.63720i −0.882615 + 0.408341i −0.808215 0.588887i \(-0.799566\pi\)
−0.0743999 + 0.997228i \(0.523704\pi\)
\(558\) −4.62290 + 5.44250i −0.195703 + 0.230399i
\(559\) 22.0965 7.44519i 0.934584 0.314898i
\(560\) −2.56908 + 4.84579i −0.108563 + 0.204772i
\(561\) −2.30236 + 4.34272i −0.0972059 + 0.183350i
\(562\) −20.7310 + 6.98509i −0.874485 + 0.294648i
\(563\) −13.1858 + 15.5235i −0.555716 + 0.654240i −0.966250 0.257606i \(-0.917066\pi\)
0.410534 + 0.911845i \(0.365342\pi\)
\(564\) 1.08543 0.502174i 0.0457049 0.0211453i
\(565\) −14.0366 6.49400i −0.590522 0.273205i
\(566\) −7.45349 8.77492i −0.313293 0.368838i
\(567\) −1.68838 1.01586i −0.0709053 0.0426623i
\(568\) −3.11441 + 0.338712i −0.130678 + 0.0142121i
\(569\) 1.76110 + 10.7423i 0.0738293 + 0.450339i 0.997709 + 0.0676553i \(0.0215518\pi\)
−0.923879 + 0.382684i \(0.875000\pi\)
\(570\) 1.39906 1.32526i 0.0586000 0.0555089i
\(571\) −15.8273 5.33283i −0.662351 0.223172i −0.0320066 0.999488i \(-0.510190\pi\)
−0.630344 + 0.776316i \(0.717086\pi\)
\(572\) 10.8177 6.50878i 0.452310 0.272146i
\(573\) −19.2789 + 14.6555i −0.805389 + 0.612241i
\(574\) −3.89080 9.76517i −0.162399 0.407590i
\(575\) −13.0081 19.1855i −0.542476 0.800092i
\(576\) −1.05988 + 6.46501i −0.0441619 + 0.269375i
\(577\) −0.963395 + 17.7688i −0.0401067 + 0.739724i 0.907455 + 0.420150i \(0.138023\pi\)
−0.947561 + 0.319574i \(0.896460\pi\)
\(578\) 10.2342 2.25272i 0.425686 0.0937006i
\(579\) −6.93810 + 17.4133i −0.288338 + 0.723673i
\(580\) 10.4698 + 37.7090i 0.434737 + 1.56578i
\(581\) −0.381593 7.03807i −0.0158311 0.291988i
\(582\) 9.24176 + 1.00510i 0.383083 + 0.0416628i
\(583\) 14.1275 + 10.7394i 0.585100 + 0.444781i
\(584\) 7.84323 28.2488i 0.324555 1.16894i
\(585\) 21.7053 + 4.77771i 0.897405 + 0.197534i
\(586\) −0.938616 + 1.38435i −0.0387739 + 0.0571872i
\(587\) 22.2809 + 21.1056i 0.919633 + 0.871123i 0.991998 0.126255i \(-0.0402959\pi\)
−0.0723646 + 0.997378i \(0.523055\pi\)
\(588\) 1.54844 + 2.92066i 0.0638564 + 0.120446i
\(589\) 3.97092 0.163619
\(590\) 19.9804 18.8388i 0.822579 0.775582i
\(591\) 15.0089 0.617384
\(592\) 2.87220 + 5.41754i 0.118047 + 0.222659i
\(593\) 8.16572 + 7.73498i 0.335326 + 0.317637i 0.836772 0.547551i \(-0.184440\pi\)
−0.501446 + 0.865189i \(0.667199\pi\)
\(594\) 1.07475 1.58514i 0.0440977 0.0650392i
\(595\) −17.6575 3.88670i −0.723885 0.159339i
\(596\) −5.04856 + 18.1833i −0.206797 + 0.744816i
\(597\) −20.8901 15.8803i −0.854976 0.649936i
\(598\) 15.6445 + 1.70144i 0.639750 + 0.0695770i
\(599\) −2.41003 44.4504i −0.0984711 1.81619i −0.464482 0.885583i \(-0.653759\pi\)
0.366011 0.930611i \(-0.380723\pi\)
\(600\) 6.82800 + 24.5922i 0.278752 + 1.00397i
\(601\) −9.65143 + 24.2233i −0.393690 + 0.988088i 0.589869 + 0.807499i \(0.299180\pi\)
−0.983559 + 0.180589i \(0.942200\pi\)
\(602\) 7.21796 1.58879i 0.294182 0.0647544i
\(603\) 0.584210 10.7751i 0.0237909 0.438797i
\(604\) 1.30952 7.98772i 0.0532836 0.325016i
\(605\) 14.6882 + 21.6635i 0.597162 + 0.880748i
\(606\) −3.45965 8.68307i −0.140539 0.352726i
\(607\) 11.1356 8.46508i 0.451981 0.343587i −0.354288 0.935136i \(-0.615277\pi\)
0.806269 + 0.591549i \(0.201484\pi\)
\(608\) 2.40241 1.44548i 0.0974306 0.0586220i
\(609\) 18.6844 + 6.29551i 0.757131 + 0.255107i
\(610\) 25.1572 23.8302i 1.01859 0.964857i
\(611\) 1.09948 + 6.70655i 0.0444803 + 0.271318i
\(612\) −2.62264 + 0.285229i −0.106014 + 0.0115297i
\(613\) 7.11918 + 4.28347i 0.287541 + 0.173008i 0.652015 0.758206i \(-0.273924\pi\)
−0.364474 + 0.931213i \(0.618751\pi\)
\(614\) 20.0605 + 23.6170i 0.809575 + 0.953105i
\(615\) −18.4227 8.52326i −0.742876 0.343691i
\(616\) 10.4816 4.84929i 0.422315 0.195384i
\(617\) −14.3763 + 16.9251i −0.578769 + 0.681380i −0.971163 0.238418i \(-0.923371\pi\)
0.392394 + 0.919797i \(0.371647\pi\)
\(618\) 2.88692 0.972715i 0.116129 0.0391283i
\(619\) −4.74571 + 8.95136i −0.190746 + 0.359786i −0.960377 0.278703i \(-0.910095\pi\)
0.769631 + 0.638489i \(0.220440\pi\)
\(620\) −13.4961 + 25.4564i −0.542018 + 1.02235i
\(621\) −2.55317 + 0.860264i −0.102455 + 0.0345212i
\(622\) −5.87661 + 6.91848i −0.235631 + 0.277406i
\(623\) 7.93683 3.67197i 0.317982 0.147114i
\(624\) −4.12727 1.90948i −0.165223 0.0764404i
\(625\) 3.88612 + 4.57510i 0.155445 + 0.183004i
\(626\) −23.6940 14.2562i −0.947002 0.569792i
\(627\) −1.05874 + 0.115145i −0.0422820 + 0.00459844i
\(628\) −2.25704 13.7673i −0.0900657 0.549376i
\(629\) −14.6748 + 13.9007i −0.585124 + 0.554259i
\(630\) 6.67581 + 2.24934i 0.265971 + 0.0896160i
\(631\) 15.7690 9.48788i 0.627753 0.377706i −0.165842 0.986152i \(-0.553034\pi\)
0.793595 + 0.608446i \(0.208207\pi\)
\(632\) 22.6281 17.2014i 0.900097 0.684236i
\(633\) −0.980521 2.46092i −0.0389722 0.0978129i
\(634\) −5.35336 7.89562i −0.212609 0.313575i
\(635\) −2.83411 + 17.2873i −0.112468 + 0.686027i
\(636\) −0.515647 + 9.51055i −0.0204467 + 0.377118i
\(637\) −18.3456 + 4.03818i −0.726881 + 0.159999i
\(638\) −7.09307 + 17.8023i −0.280817 + 0.704798i
\(639\) 0.282521 + 1.01755i 0.0111764 + 0.0402536i
\(640\) 0.809247 + 14.9257i 0.0319883 + 0.589989i
\(641\) −28.9047 3.14358i −1.14167 0.124164i −0.482316 0.875997i \(-0.660204\pi\)
−0.659353 + 0.751833i \(0.729170\pi\)
\(642\) 8.07215 + 6.13629i 0.318582 + 0.242180i
\(643\) −4.67964 + 16.8545i −0.184547 + 0.664679i 0.812148 + 0.583451i \(0.198298\pi\)
−0.996696 + 0.0812277i \(0.974116\pi\)
\(644\) −5.49787 1.21017i −0.216647 0.0476875i
\(645\) 8.00926 11.8128i 0.315364 0.465128i
\(646\) −0.943681 0.893902i −0.0371286 0.0351701i
\(647\) 8.37699 + 15.8007i 0.329333 + 0.621188i 0.991785 0.127916i \(-0.0408288\pi\)
−0.662452 + 0.749105i \(0.730484\pi\)
\(648\) 2.96653 0.116536
\(649\) −15.0909 + 1.60588i −0.592369 + 0.0630363i
\(650\) −50.2526 −1.97107
\(651\) 6.79938 + 12.8250i 0.266489 + 0.502651i
\(652\) −6.34469 6.01001i −0.248477 0.235370i
\(653\) −16.9995 + 25.0724i −0.665241 + 0.981158i 0.334014 + 0.942568i \(0.391597\pi\)
−0.999255 + 0.0385894i \(0.987714\pi\)
\(654\) 9.08048 + 1.99877i 0.355075 + 0.0781579i
\(655\) 22.1082 79.6264i 0.863838 3.11126i
\(656\) 3.30655 + 2.51357i 0.129099 + 0.0981386i
\(657\) −9.82479 1.06851i −0.383302 0.0416866i
\(658\) 0.116622 + 2.15097i 0.00454641 + 0.0838537i
\(659\) 4.97240 + 17.9090i 0.193697 + 0.697634i 0.995044 + 0.0994343i \(0.0317033\pi\)
−0.801347 + 0.598200i \(0.795883\pi\)
\(660\) 2.86022 7.17861i 0.111334 0.279427i
\(661\) 19.0988 4.20396i 0.742857 0.163515i 0.172612 0.984990i \(-0.444779\pi\)
0.570245 + 0.821475i \(0.306848\pi\)
\(662\) 0.779696 14.3807i 0.0303038 0.558920i
\(663\) 2.42527 14.7935i 0.0941898 0.574533i
\(664\) 5.95505 + 8.78304i 0.231101 + 0.340848i
\(665\) −1.44997 3.63915i −0.0562274 0.141120i
\(666\) 6.26983 4.76620i 0.242951 0.184686i
\(667\) 23.0998 13.8987i 0.894427 0.538159i
\(668\) 3.49877 + 1.17887i 0.135371 + 0.0456119i
\(669\) −11.5083 + 10.9012i −0.444936 + 0.421466i
\(670\) 6.24141 + 38.0709i 0.241127 + 1.47081i
\(671\) −19.0378 + 2.07048i −0.734945 + 0.0799301i
\(672\) 8.78214 + 5.28404i 0.338778 + 0.203836i
\(673\) 0.918729 + 1.08161i 0.0354144 + 0.0416931i 0.779584 0.626298i \(-0.215430\pi\)
−0.744170 + 0.667991i \(0.767155\pi\)
\(674\) 13.5695 + 6.27790i 0.522676 + 0.241816i
\(675\) 7.80833 3.61252i 0.300543 0.139046i
\(676\) −16.0025 + 18.8396i −0.615482 + 0.724602i
\(677\) 29.4722 9.93033i 1.13271 0.381654i 0.310349 0.950623i \(-0.399554\pi\)
0.822359 + 0.568969i \(0.192658\pi\)
\(678\) 1.90390 3.59114i 0.0731190 0.137917i
\(679\) 8.85170 16.6961i 0.339697 0.640736i
\(680\) 25.7952 8.69141i 0.989200 0.333300i
\(681\) −2.15021 + 2.53142i −0.0823962 + 0.0970043i
\(682\) −12.8046 + 5.92406i −0.490315 + 0.226844i
\(683\) −17.6213 8.15250i −0.674262 0.311947i 0.0527142 0.998610i \(-0.483213\pi\)
−0.726976 + 0.686663i \(0.759075\pi\)
\(684\) −0.370040 0.435644i −0.0141488 0.0166573i
\(685\) 17.6002 + 10.5897i 0.672471 + 0.404612i
\(686\) −19.2108 + 2.08930i −0.733470 + 0.0797697i
\(687\) −0.784153 4.78312i −0.0299173 0.182487i
\(688\) −2.12011 + 2.00828i −0.0808285 + 0.0765648i
\(689\) −51.2898 17.2816i −1.95399 0.658375i
\(690\) 8.25339 4.96590i 0.314201 0.189049i
\(691\) −17.8107 + 13.5394i −0.677553 + 0.515062i −0.886420 0.462882i \(-0.846815\pi\)
0.208867 + 0.977944i \(0.433022\pi\)
\(692\) −1.21169 3.04112i −0.0460617 0.115606i
\(693\) −2.18476 3.22227i −0.0829920 0.122404i
\(694\) −1.43004 + 8.72285i −0.0542836 + 0.331115i
\(695\) −4.48486 + 82.7184i −0.170121 + 3.13769i
\(696\) −28.9896 + 6.38110i −1.09885 + 0.241875i
\(697\) −5.06787 + 12.7194i −0.191959 + 0.481781i
\(698\) 5.26411 + 18.9596i 0.199250 + 0.717632i
\(699\) 0.206638 + 3.81121i 0.00781576 + 0.144153i
\(700\) 17.8715 + 1.94364i 0.675478 + 0.0734626i
\(701\) 9.17619 + 6.97556i 0.346580 + 0.263463i 0.763953 0.645272i \(-0.223256\pi\)
−0.417373 + 0.908735i \(0.637049\pi\)
\(702\) −1.56262 + 5.62804i −0.0589772 + 0.212417i
\(703\) −4.27719 0.941480i −0.161317 0.0355086i
\(704\) −7.26390 + 10.7135i −0.273769 + 0.403778i
\(705\) 3.01997 + 2.86067i 0.113739 + 0.107739i
\(706\) 0.0827348 + 0.156054i 0.00311376 + 0.00587318i
\(707\) −19.0004 −0.714583
\(708\) −5.25871 6.22017i −0.197634 0.233768i
\(709\) 17.4864 0.656714 0.328357 0.944554i \(-0.393505\pi\)
0.328357 + 0.944554i \(0.393505\pi\)
\(710\) −1.76847 3.33569i −0.0663696 0.125186i
\(711\) −6.95616 6.58922i −0.260876 0.247115i
\(712\) −7.38854 + 10.8973i −0.276897 + 0.408393i
\(713\) 19.3838 + 4.26671i 0.725931 + 0.159789i
\(714\) 1.27120 4.57846i 0.0475735 0.171344i
\(715\) 34.9573 + 26.5739i 1.30733 + 0.993807i
\(716\) 12.0967 + 1.31560i 0.452075 + 0.0491662i
\(717\) 1.42542 + 26.2903i 0.0532332 + 0.981828i
\(718\) 6.00338 + 21.6222i 0.224044 + 0.806934i
\(719\) 14.6095 36.6671i 0.544843 1.36745i −0.356479 0.934303i \(-0.616023\pi\)
0.901322 0.433149i \(-0.142598\pi\)
\(720\) −2.71842 + 0.598370i −0.101310 + 0.0222999i
\(721\) 0.335265 6.18360i 0.0124859 0.230289i
\(722\) −2.93399 + 17.8966i −0.109192 + 0.666041i
\(723\) −6.63028 9.77893i −0.246583 0.363682i
\(724\) 1.37077 + 3.44038i 0.0509444 + 0.127861i
\(725\) −68.5343 + 52.0984i −2.54530 + 1.93489i
\(726\) −5.89404 + 3.54633i −0.218748 + 0.131616i
\(727\) −2.08905 0.703882i −0.0774784 0.0261055i 0.280295 0.959914i \(-0.409568\pi\)
−0.357774 + 0.933808i \(0.616464\pi\)
\(728\) −25.5717 + 24.2228i −0.947749 + 0.897755i
\(729\) −0.161782 0.986827i −0.00599193 0.0365491i
\(730\) 35.1250 3.82008i 1.30004 0.141387i
\(731\) −8.24866 4.96305i −0.305088 0.183565i
\(732\) −6.65389 7.83357i −0.245935 0.289537i
\(733\) 16.5415 + 7.65293i 0.610975 + 0.282667i 0.700876 0.713284i \(-0.252793\pi\)
−0.0899004 + 0.995951i \(0.528655\pi\)
\(734\) 4.79319 2.21757i 0.176920 0.0818519i
\(735\) −7.44356 + 8.76324i −0.274560 + 0.323237i
\(736\) 13.2804 4.47468i 0.489522 0.164939i
\(737\) 9.98661 18.8367i 0.367861 0.693860i
\(738\) 2.49884 4.71331i 0.0919835 0.173499i
\(739\) −1.76425 + 0.594445i −0.0648990 + 0.0218670i −0.351564 0.936164i \(-0.614350\pi\)
0.286665 + 0.958031i \(0.407453\pi\)
\(740\) 20.5726 24.2199i 0.756264 0.890343i
\(741\) 2.94786 1.36382i 0.108292 0.0501013i
\(742\) −15.5696 7.20328i −0.571579 0.264441i
\(743\) −8.87470 10.4481i −0.325581 0.383304i 0.574882 0.818236i \(-0.305048\pi\)
−0.900463 + 0.434933i \(0.856772\pi\)
\(744\) −18.7258 11.2669i −0.686520 0.413065i
\(745\) −65.2519 + 7.09658i −2.39065 + 0.259998i
\(746\) 0.0302984 + 0.184812i 0.00110930 + 0.00676644i
\(747\) 2.59695 2.45996i 0.0950173 0.0900052i
\(748\) −4.93941 1.66428i −0.180603 0.0608521i
\(749\) 17.6615 10.6266i 0.645337 0.388286i
\(750\) −10.2561 + 7.79649i −0.374500 + 0.284687i
\(751\) 4.70684 + 11.8133i 0.171755 + 0.431073i 0.989505 0.144502i \(-0.0461579\pi\)
−0.817750 + 0.575574i \(0.804779\pi\)
\(752\) −0.477657 0.704491i −0.0174184 0.0256902i
\(753\) 0.717203 4.37475i 0.0261363 0.159425i
\(754\) 3.16418 58.3599i 0.115233 2.12534i
\(755\) 27.4952 6.05215i 1.00065 0.220260i
\(756\) 0.773396 1.94108i 0.0281281 0.0705963i
\(757\) −12.8473 46.2719i −0.466944 1.68178i −0.703932 0.710268i \(-0.748574\pi\)
0.236988 0.971513i \(-0.423840\pi\)
\(758\) −1.74417 32.1692i −0.0633510 1.16844i
\(759\) −5.29190 0.575529i −0.192084 0.0208904i
\(760\) 4.69511 + 3.56913i 0.170310 + 0.129466i
\(761\) −3.99053 + 14.3726i −0.144657 + 0.521006i 0.855339 + 0.518068i \(0.173349\pi\)
−0.999996 + 0.00293726i \(0.999065\pi\)
\(762\) −4.49630 0.989710i −0.162884 0.0358534i
\(763\) 10.6068 15.6439i 0.383992 0.566346i
\(764\) −18.6436 17.6601i −0.674501 0.638921i
\(765\) −4.29799 8.10687i −0.155394 0.293105i
\(766\) 12.8777 0.465291
\(767\) 42.0521 19.3373i 1.51841 0.698229i
\(768\) −17.0310 −0.614554
\(769\) 12.3235 + 23.2446i 0.444396 + 0.838220i 0.999977 + 0.00675757i \(0.00215102\pi\)
−0.555581 + 0.831462i \(0.687504\pi\)
\(770\) 10.1047 + 9.57166i 0.364147 + 0.344939i
\(771\) 2.59773 3.83136i 0.0935548 0.137983i
\(772\) −19.4124 4.27299i −0.698667 0.153788i
\(773\) −9.15270