Properties

Label 177.2.f.a.44.10
Level $177$
Weight $2$
Character 177.44
Analytic conductor $1.413$
Analytic rank $0$
Dimension $504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(504\)
Relative dimension: \(18\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 44.10
Character \(\chi\) \(=\) 177.44
Dual form 177.2.f.a.173.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.288025 - 0.0313247i) q^{2} +(0.974468 - 1.43193i) q^{3} +(-1.87126 + 0.411896i) q^{4} +(-0.965552 - 1.27016i) q^{5} +(0.235817 - 0.442956i) q^{6} +(-1.63524 - 4.10415i) q^{7} +(-1.07518 + 0.362272i) q^{8} +(-1.10083 - 2.79073i) q^{9} +O(q^{10})\) \(q+(0.288025 - 0.0313247i) q^{2} +(0.974468 - 1.43193i) q^{3} +(-1.87126 + 0.411896i) q^{4} +(-0.965552 - 1.27016i) q^{5} +(0.235817 - 0.442956i) q^{6} +(-1.63524 - 4.10415i) q^{7} +(-1.07518 + 0.362272i) q^{8} +(-1.10083 - 2.79073i) q^{9} +(-0.317891 - 0.335593i) q^{10} +(5.62923 + 2.60436i) q^{11} +(-1.23368 + 3.08089i) q^{12} +(0.422604 - 0.0692824i) q^{13} +(-0.599553 - 1.13088i) q^{14} +(-2.75968 + 0.144867i) q^{15} +(3.17961 - 1.47104i) q^{16} +(3.28932 + 1.31058i) q^{17} +(-0.404484 - 0.769319i) q^{18} +(-3.16718 + 4.67124i) q^{19} +(2.32998 + 1.97910i) q^{20} +(-7.47034 - 1.65782i) q^{21} +(1.70294 + 0.573788i) q^{22} +(-0.0588614 - 1.08563i) q^{23} +(-0.528986 + 1.89261i) q^{24} +(0.656621 - 2.36493i) q^{25} +(0.119550 - 0.0331930i) q^{26} +(-5.06884 - 1.14318i) q^{27} +(4.75046 + 7.00640i) q^{28} +(-0.0717459 + 0.659693i) q^{29} +(-0.790319 + 0.128171i) q^{30} +(0.299092 - 0.202790i) q^{31} +(2.81407 - 1.69317i) q^{32} +(9.21475 - 5.52278i) q^{33} +(0.988460 + 0.274445i) q^{34} +(-3.63403 + 6.03980i) q^{35} +(3.20943 + 4.76877i) q^{36} +(0.347793 - 1.03221i) q^{37} +(-0.765903 + 1.44465i) q^{38} +(0.312607 - 0.672651i) q^{39} +(1.49829 + 1.01587i) q^{40} +(8.55770 + 0.463985i) q^{41} +(-2.20358 - 0.243487i) q^{42} +(-1.03836 - 2.24438i) q^{43} +(-11.6065 - 2.55478i) q^{44} +(-2.48178 + 4.09282i) q^{45} +(-0.0509607 - 0.310846i) q^{46} +(-1.27341 - 0.968024i) q^{47} +(0.991999 - 5.98644i) q^{48} +(-9.08808 + 8.60869i) q^{49} +(0.115043 - 0.701730i) q^{50} +(5.08199 - 3.43294i) q^{51} +(-0.762266 + 0.303715i) q^{52} +(-1.07176 + 1.13145i) q^{53} +(-1.49576 - 0.170485i) q^{54} +(-2.12736 - 9.66468i) q^{55} +(3.24501 + 3.82032i) q^{56} +(3.60255 + 9.08713i) q^{57} +0.192256i q^{58} +(7.63591 - 0.832432i) q^{59} +(5.10441 - 1.40779i) q^{60} +(1.12601 + 10.3534i) q^{61} +(0.0797939 - 0.0677775i) q^{62} +(-9.65347 + 9.08148i) q^{63} +(-4.82059 + 3.66452i) q^{64} +(-0.496046 - 0.469880i) q^{65} +(2.48108 - 1.87935i) q^{66} +(-0.0547745 - 0.162565i) q^{67} +(-6.69500 - 1.09759i) q^{68} +(-1.61191 - 0.973630i) q^{69} +(-0.857497 + 1.85345i) q^{70} +(-6.59291 + 8.67282i) q^{71} +(2.19459 + 2.60175i) q^{72} +(10.5072 - 5.57058i) q^{73} +(0.0678396 - 0.308198i) q^{74} +(-2.74656 - 3.24478i) q^{75} +(4.00256 - 10.0457i) q^{76} +(1.48352 - 27.3620i) q^{77} +(0.0689681 - 0.203533i) q^{78} +(3.64711 - 4.29371i) q^{79} +(-4.93854 - 2.61825i) q^{80} +(-6.57637 + 6.14422i) q^{81} +(2.47937 - 0.134427i) q^{82} +(-9.20681 - 5.53955i) q^{83} +(14.6618 + 0.0252069i) q^{84} +(-1.51135 - 5.44340i) q^{85} +(-0.369378 - 0.613911i) q^{86} +(0.874717 + 0.745584i) q^{87} +(-6.99594 - 0.760855i) q^{88} +(15.3552 + 1.66998i) q^{89} +(-0.586609 + 1.25658i) q^{90} +(-0.975406 - 1.62114i) q^{91} +(0.557314 + 2.00726i) q^{92} +(0.00107605 - 0.625890i) q^{93} +(-0.397099 - 0.238926i) q^{94} +(8.99130 - 0.487494i) q^{95} +(0.317726 - 5.67947i) q^{96} +(-4.48951 - 2.38019i) q^{97} +(-2.34793 + 2.76420i) q^{98} +(1.07127 - 18.5766i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} + O(q^{10}) \) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} - 58q^{10} - 15q^{12} - 58q^{13} - 38q^{15} - 66q^{16} - 29q^{18} - 66q^{19} - 24q^{21} - 62q^{22} - 29q^{24} - 20q^{25} - 54q^{27} - 26q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 13q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} - q^{45} - 46q^{46} + 147q^{48} - 48q^{49} + 59q^{51} - 58q^{52} + 174q^{54} - 58q^{55} + 83q^{57} + 250q^{60} - 58q^{61} + 82q^{63} + 10q^{64} + 226q^{66} - 58q^{67} + 87q^{69} - 58q^{70} + 145q^{72} - 58q^{73} - 28q^{75} - 150q^{76} - 13q^{78} - 30q^{79} + 13q^{81} - 58q^{82} - 69q^{84} - 86q^{85} - 36q^{87} + 22q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 162q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{27}{58}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.288025 0.0313247i 0.203665 0.0221499i −0.00571795 0.999984i \(-0.501820\pi\)
0.209383 + 0.977834i \(0.432855\pi\)
\(3\) 0.974468 1.43193i 0.562609 0.826723i
\(4\) −1.87126 + 0.411896i −0.935632 + 0.205948i
\(5\) −0.965552 1.27016i −0.431808 0.568034i 0.527802 0.849367i \(-0.323016\pi\)
−0.959610 + 0.281334i \(0.909223\pi\)
\(6\) 0.235817 0.442956i 0.0962718 0.180836i
\(7\) −1.63524 4.10415i −0.618064 1.55122i −0.820328 0.571893i \(-0.806209\pi\)
0.202264 0.979331i \(-0.435170\pi\)
\(8\) −1.07518 + 0.362272i −0.380135 + 0.128082i
\(9\) −1.10083 2.79073i −0.366942 0.930244i
\(10\) −0.317891 0.335593i −0.100526 0.106124i
\(11\) 5.62923 + 2.60436i 1.69728 + 0.785244i 0.997484 + 0.0708980i \(0.0225865\pi\)
0.699793 + 0.714346i \(0.253276\pi\)
\(12\) −1.23368 + 3.08089i −0.356133 + 0.889377i
\(13\) 0.422604 0.0692824i 0.117209 0.0192155i −0.102892 0.994693i \(-0.532810\pi\)
0.220101 + 0.975477i \(0.429361\pi\)
\(14\) −0.599553 1.13088i −0.160237 0.302240i
\(15\) −2.75968 + 0.144867i −0.712546 + 0.0374046i
\(16\) 3.17961 1.47104i 0.794901 0.367761i
\(17\) 3.28932 + 1.31058i 0.797777 + 0.317863i 0.733168 0.680047i \(-0.238041\pi\)
0.0646085 + 0.997911i \(0.479420\pi\)
\(18\) −0.404484 0.769319i −0.0953379 0.181330i
\(19\) −3.16718 + 4.67124i −0.726600 + 1.07166i 0.267539 + 0.963547i \(0.413790\pi\)
−0.994139 + 0.108108i \(0.965521\pi\)
\(20\) 2.32998 + 1.97910i 0.520999 + 0.442540i
\(21\) −7.47034 1.65782i −1.63016 0.361765i
\(22\) 1.70294 + 0.573788i 0.363068 + 0.122332i
\(23\) −0.0588614 1.08563i −0.0122734 0.226370i −0.998235 0.0593952i \(-0.981083\pi\)
0.985961 0.166975i \(-0.0534000\pi\)
\(24\) −0.528986 + 1.89261i −0.107979 + 0.386327i
\(25\) 0.656621 2.36493i 0.131324 0.472987i
\(26\) 0.119550 0.0331930i 0.0234458 0.00650968i
\(27\) −5.06884 1.14318i −0.975499 0.220005i
\(28\) 4.75046 + 7.00640i 0.897752 + 1.32409i
\(29\) −0.0717459 + 0.659693i −0.0133229 + 0.122502i −0.998911 0.0466627i \(-0.985141\pi\)
0.985588 + 0.169165i \(0.0541069\pi\)
\(30\) −0.790319 + 0.128171i −0.144292 + 0.0234008i
\(31\) 0.299092 0.202790i 0.0537186 0.0364221i −0.534032 0.845464i \(-0.679324\pi\)
0.587751 + 0.809042i \(0.300014\pi\)
\(32\) 2.81407 1.69317i 0.497461 0.299313i
\(33\) 9.21475 5.52278i 1.60408 0.961392i
\(34\) 0.988460 + 0.274445i 0.169520 + 0.0470669i
\(35\) −3.63403 + 6.03980i −0.614263 + 1.02091i
\(36\) 3.20943 + 4.76877i 0.534904 + 0.794795i
\(37\) 0.347793 1.03221i 0.0571769 0.169695i −0.915259 0.402867i \(-0.868014\pi\)
0.972436 + 0.233172i \(0.0749104\pi\)
\(38\) −0.765903 + 1.44465i −0.124246 + 0.234352i
\(39\) 0.312607 0.672651i 0.0500571 0.107710i
\(40\) 1.49829 + 1.01587i 0.236901 + 0.160623i
\(41\) 8.55770 + 0.463985i 1.33649 + 0.0724623i 0.708472 0.705739i \(-0.249385\pi\)
0.628015 + 0.778201i \(0.283867\pi\)
\(42\) −2.20358 0.243487i −0.340019 0.0375709i
\(43\) −1.03836 2.24438i −0.158348 0.342264i 0.812121 0.583489i \(-0.198313\pi\)
−0.970469 + 0.241225i \(0.922451\pi\)
\(44\) −11.6065 2.55478i −1.74975 0.385148i
\(45\) −2.48178 + 4.09282i −0.369962 + 0.610122i
\(46\) −0.0509607 0.310846i −0.00751374 0.0458318i
\(47\) −1.27341 0.968024i −0.185747 0.141201i 0.508169 0.861258i \(-0.330323\pi\)
−0.693915 + 0.720057i \(0.744116\pi\)
\(48\) 0.991999 5.98644i 0.143183 0.864069i
\(49\) −9.08808 + 8.60869i −1.29830 + 1.22981i
\(50\) 0.115043 0.701730i 0.0162695 0.0992395i
\(51\) 5.08199 3.43294i 0.711621 0.480707i
\(52\) −0.762266 + 0.303715i −0.105707 + 0.0421176i
\(53\) −1.07176 + 1.13145i −0.147218 + 0.155416i −0.795434 0.606041i \(-0.792757\pi\)
0.648216 + 0.761457i \(0.275516\pi\)
\(54\) −1.49576 0.170485i −0.203548 0.0232000i
\(55\) −2.12736 9.66468i −0.286853 1.30318i
\(56\) 3.24501 + 3.82032i 0.433632 + 0.510511i
\(57\) 3.60255 + 9.08713i 0.477170 + 1.20362i
\(58\) 0.192256i 0.0252444i
\(59\) 7.63591 0.832432i 0.994110 0.108373i
\(60\) 5.10441 1.40779i 0.658977 0.181744i
\(61\) 1.12601 + 10.3534i 0.144170 + 1.32562i 0.813025 + 0.582229i \(0.197819\pi\)
−0.668854 + 0.743393i \(0.733215\pi\)
\(62\) 0.0797939 0.0677775i 0.0101338 0.00860775i
\(63\) −9.65347 + 9.08148i −1.21622 + 1.14416i
\(64\) −4.82059 + 3.66452i −0.602574 + 0.458065i
\(65\) −0.496046 0.469880i −0.0615269 0.0582814i
\(66\) 2.48108 1.87935i 0.305400 0.231332i
\(67\) −0.0547745 0.162565i −0.00669177 0.0198605i 0.944255 0.329214i \(-0.106784\pi\)
−0.950947 + 0.309354i \(0.899887\pi\)
\(68\) −6.69500 1.09759i −0.811889 0.133102i
\(69\) −1.61191 0.973630i −0.194051 0.117211i
\(70\) −0.857497 + 1.85345i −0.102491 + 0.221530i
\(71\) −6.59291 + 8.67282i −0.782434 + 1.02927i 0.216165 + 0.976357i \(0.430645\pi\)
−0.998599 + 0.0529178i \(0.983148\pi\)
\(72\) 2.19459 + 2.60175i 0.258635 + 0.306620i
\(73\) 10.5072 5.57058i 1.22978 0.651987i 0.278533 0.960427i \(-0.410152\pi\)
0.951244 + 0.308440i \(0.0998069\pi\)
\(74\) 0.0678396 0.308198i 0.00788619 0.0358273i
\(75\) −2.74656 3.24478i −0.317145 0.374675i
\(76\) 4.00256 10.0457i 0.459125 1.15232i
\(77\) 1.48352 27.3620i 0.169063 3.11819i
\(78\) 0.0689681 0.203533i 0.00780910 0.0230456i
\(79\) 3.64711 4.29371i 0.410332 0.483081i −0.517709 0.855556i \(-0.673215\pi\)
0.928042 + 0.372476i \(0.121491\pi\)
\(80\) −4.93854 2.61825i −0.552145 0.292729i
\(81\) −6.57637 + 6.14422i −0.730708 + 0.682691i
\(82\) 2.47937 0.134427i 0.273800 0.0148450i
\(83\) −9.20681 5.53955i −1.01058 0.608045i −0.0889169 0.996039i \(-0.528341\pi\)
−0.921662 + 0.387994i \(0.873168\pi\)
\(84\) 14.6618 + 0.0252069i 1.59974 + 0.00275030i
\(85\) −1.51135 5.44340i −0.163929 0.590420i
\(86\) −0.369378 0.613911i −0.0398311 0.0661998i
\(87\) 0.874717 + 0.745584i 0.0937795 + 0.0799350i
\(88\) −6.99594 0.760855i −0.745770 0.0811074i
\(89\) 15.3552 + 1.66998i 1.62765 + 0.177018i 0.875922 0.482453i \(-0.160254\pi\)
0.751730 + 0.659471i \(0.229219\pi\)
\(90\) −0.586609 + 1.25658i −0.0618340 + 0.132455i
\(91\) −0.975406 1.62114i −0.102250 0.169941i
\(92\) 0.557314 + 2.00726i 0.0581040 + 0.209272i
\(93\) 0.00107605 0.625890i 0.000111581 0.0649018i
\(94\) −0.397099 0.238926i −0.0409576 0.0246434i
\(95\) 8.99130 0.487494i 0.922488 0.0500159i
\(96\) 0.317726 5.67947i 0.0324278 0.579659i
\(97\) −4.48951 2.38019i −0.455840 0.241671i 0.224634 0.974443i \(-0.427881\pi\)
−0.680474 + 0.732772i \(0.738226\pi\)
\(98\) −2.34793 + 2.76420i −0.237177 + 0.279226i
\(99\) 1.07127 18.5766i 0.107667 1.86702i
\(100\) −0.254603 + 4.69588i −0.0254603 + 0.469588i
\(101\) −1.73696 + 4.35944i −0.172834 + 0.433780i −0.989720 0.143019i \(-0.954319\pi\)
0.816886 + 0.576799i \(0.195698\pi\)
\(102\) 1.35621 1.14796i 0.134285 0.113665i
\(103\) 3.03799 13.8017i 0.299342 1.35993i −0.551355 0.834271i \(-0.685889\pi\)
0.850698 0.525655i \(-0.176180\pi\)
\(104\) −0.429278 + 0.227589i −0.0420942 + 0.0223169i
\(105\) 5.10730 + 11.0892i 0.498422 + 1.08220i
\(106\) −0.273253 + 0.359458i −0.0265407 + 0.0349137i
\(107\) −4.90590 + 10.6039i −0.474272 + 1.02512i 0.511847 + 0.859077i \(0.328962\pi\)
−0.986118 + 0.166045i \(0.946900\pi\)
\(108\) 9.95601 + 0.0513502i 0.958017 + 0.00494118i
\(109\) −14.3566 2.35365i −1.37511 0.225439i −0.571506 0.820598i \(-0.693641\pi\)
−0.803608 + 0.595159i \(0.797089\pi\)
\(110\) −0.915475 2.71703i −0.0872872 0.259059i
\(111\) −1.13914 1.50387i −0.108122 0.142741i
\(112\) −11.2368 10.6441i −1.06178 1.00577i
\(113\) −11.3900 + 8.65847i −1.07148 + 0.814521i −0.983374 0.181590i \(-0.941876\pi\)
−0.0881094 + 0.996111i \(0.528083\pi\)
\(114\) 1.32228 + 2.50448i 0.123843 + 0.234566i
\(115\) −1.32210 + 1.12300i −0.123286 + 0.104720i
\(116\) −0.137469 1.26401i −0.0127637 0.117360i
\(117\) −0.658561 1.10311i −0.0608840 0.101982i
\(118\) 2.17326 0.478954i 0.200065 0.0440913i
\(119\) 15.6430i 1.43399i
\(120\) 2.91468 1.15551i 0.266073 0.105483i
\(121\) 17.7843 + 20.9373i 1.61675 + 1.90339i
\(122\) 0.648636 + 2.94678i 0.0587248 + 0.266789i
\(123\) 9.00359 11.8019i 0.811827 1.06414i
\(124\) −0.476152 + 0.502668i −0.0427597 + 0.0451409i
\(125\) −11.0487 + 4.40222i −0.988229 + 0.393746i
\(126\) −2.49597 + 2.91809i −0.222359 + 0.259964i
\(127\) −1.30942 + 7.98710i −0.116192 + 0.708741i 0.862908 + 0.505361i \(0.168641\pi\)
−0.979100 + 0.203379i \(0.934808\pi\)
\(128\) −6.04225 + 5.72352i −0.534065 + 0.505893i
\(129\) −4.22563 0.700219i −0.372046 0.0616509i
\(130\) −0.157593 0.119799i −0.0138218 0.0105071i
\(131\) 0.620146 + 3.78272i 0.0541824 + 0.330498i 0.999983 + 0.00575136i \(0.00183073\pi\)
−0.945801 + 0.324747i \(0.894721\pi\)
\(132\) −14.9684 + 14.1301i −1.30283 + 1.22987i
\(133\) 24.3506 + 5.35997i 2.11146 + 0.464768i
\(134\) −0.0208687 0.0451070i −0.00180278 0.00389665i
\(135\) 3.44221 + 7.54205i 0.296258 + 0.649116i
\(136\) −4.01141 0.217492i −0.343976 0.0186498i
\(137\) −5.95576 4.03810i −0.508835 0.344998i 0.279600 0.960116i \(-0.409798\pi\)
−0.788435 + 0.615118i \(0.789108\pi\)
\(138\) −0.494768 0.229938i −0.0421175 0.0195736i
\(139\) 1.34095 2.52931i 0.113738 0.214533i −0.820107 0.572210i \(-0.806086\pi\)
0.933845 + 0.357677i \(0.116431\pi\)
\(140\) 4.31245 12.7989i 0.364469 1.08170i
\(141\) −2.62704 + 0.880127i −0.221237 + 0.0741201i
\(142\) −1.62725 + 2.70451i −0.136556 + 0.226958i
\(143\) 2.55937 + 0.710606i 0.214025 + 0.0594238i
\(144\) −7.60547 7.25407i −0.633790 0.604506i
\(145\) 0.907191 0.545839i 0.0753381 0.0453294i
\(146\) 2.85185 1.93360i 0.236021 0.160026i
\(147\) 3.47096 + 21.4023i 0.286280 + 1.76524i
\(148\) −0.225648 + 2.07480i −0.0185482 + 0.170547i
\(149\) 7.24018 + 10.6785i 0.593139 + 0.874814i 0.999239 0.0390145i \(-0.0124218\pi\)
−0.406100 + 0.913829i \(0.633111\pi\)
\(150\) −0.892720 0.848546i −0.0728902 0.0692835i
\(151\) −10.0158 + 2.78089i −0.815078 + 0.226305i −0.649960 0.759969i \(-0.725214\pi\)
−0.165118 + 0.986274i \(0.552801\pi\)
\(152\) 1.71304 6.16982i 0.138946 0.500438i
\(153\) 0.0365244 10.6223i 0.00295282 0.858764i
\(154\) −0.429812 7.92742i −0.0346352 0.638809i
\(155\) −0.546365 0.184092i −0.0438851 0.0147866i
\(156\) −0.307907 + 1.38747i −0.0246523 + 0.111086i
\(157\) 15.1336 + 12.8546i 1.20780 + 1.02591i 0.998848 + 0.0479847i \(0.0152799\pi\)
0.208948 + 0.977927i \(0.432996\pi\)
\(158\) 0.915962 1.35094i 0.0728701 0.107475i
\(159\) 0.575750 + 2.63725i 0.0456599 + 0.209147i
\(160\) −4.86772 1.93948i −0.384827 0.153329i
\(161\) −4.35935 + 2.01685i −0.343565 + 0.158950i
\(162\) −1.70170 + 1.97569i −0.133698 + 0.155225i
\(163\) 4.25750 + 8.03049i 0.333473 + 0.628996i 0.992378 0.123229i \(-0.0393251\pi\)
−0.658905 + 0.752226i \(0.728980\pi\)
\(164\) −16.2048 + 2.65665i −1.26538 + 0.207449i
\(165\) −15.9121 6.37170i −1.23876 0.496036i
\(166\) −2.82532 1.30713i −0.219287 0.101453i
\(167\) −9.61106 10.1463i −0.743726 0.785142i 0.238839 0.971059i \(-0.423233\pi\)
−0.982565 + 0.185917i \(0.940475\pi\)
\(168\) 8.63257 0.923834i 0.666017 0.0712754i
\(169\) −12.1457 + 4.09236i −0.934284 + 0.314797i
\(170\) −0.605821 1.52050i −0.0464643 0.116617i
\(171\) 16.5227 + 3.69653i 1.26352 + 0.282680i
\(172\) 2.86749 + 3.77213i 0.218644 + 0.287622i
\(173\) 20.5477 4.52290i 1.56221 0.343869i 0.652070 0.758159i \(-0.273901\pi\)
0.910145 + 0.414290i \(0.135970\pi\)
\(174\) 0.275296 + 0.187347i 0.0208701 + 0.0142027i
\(175\) −10.7798 + 1.17237i −0.814875 + 0.0886230i
\(176\) 21.7299 1.63795
\(177\) 6.24896 11.7452i 0.469701 0.882826i
\(178\) 4.47501 0.335416
\(179\) −6.40083 + 0.696132i −0.478420 + 0.0520314i −0.344153 0.938914i \(-0.611834\pi\)
−0.134268 + 0.990945i \(0.542868\pi\)
\(180\) 2.95824 8.68099i 0.220494 0.647043i
\(181\) 5.00265 1.10117i 0.371844 0.0818490i −0.0251172 0.999685i \(-0.507996\pi\)
0.396961 + 0.917836i \(0.370065\pi\)
\(182\) −0.331723 0.436374i −0.0245890 0.0323462i
\(183\) 15.9226 + 8.47674i 1.17703 + 0.626619i
\(184\) 0.456581 + 1.14593i 0.0336596 + 0.0844793i
\(185\) −1.64689 + 0.554903i −0.121082 + 0.0407972i
\(186\) −0.0192959 0.180306i −0.00141484 0.0132207i
\(187\) 15.1031 + 15.9441i 1.10445 + 1.16595i
\(188\) 2.78162 + 1.28691i 0.202870 + 0.0938579i
\(189\) 3.59702 + 22.6727i 0.261644 + 1.64919i
\(190\) 2.57445 0.422060i 0.186770 0.0306195i
\(191\) −8.36059 15.7698i −0.604951 1.14106i −0.977079 0.212878i \(-0.931716\pi\)
0.372127 0.928182i \(-0.378628\pi\)
\(192\) 0.549809 + 10.4737i 0.0396790 + 0.755873i
\(193\) −12.7710 + 5.90848i −0.919275 + 0.425302i −0.821696 0.569926i \(-0.806972\pi\)
−0.0975790 + 0.995228i \(0.531110\pi\)
\(194\) −1.36765 0.544922i −0.0981916 0.0391231i
\(195\) −1.15621 + 0.252419i −0.0827982 + 0.0180761i
\(196\) 13.4603 19.8525i 0.961450 1.41803i
\(197\) 12.8354 + 10.9025i 0.914484 + 0.776769i 0.975186 0.221387i \(-0.0710583\pi\)
−0.0607026 + 0.998156i \(0.519334\pi\)
\(198\) −0.273353 5.38409i −0.0194264 0.382631i
\(199\) −4.88506 1.64597i −0.346293 0.116680i 0.140780 0.990041i \(-0.455039\pi\)
−0.487073 + 0.873361i \(0.661935\pi\)
\(200\) 0.150761 + 2.78062i 0.0106604 + 0.196619i
\(201\) −0.286157 0.0799812i −0.0201839 0.00564144i
\(202\) −0.363730 + 1.31004i −0.0255920 + 0.0921740i
\(203\) 2.82480 0.784302i 0.198262 0.0550472i
\(204\) −8.09573 + 8.51719i −0.566815 + 0.596322i
\(205\) −7.67357 11.3177i −0.535945 0.790460i
\(206\) 0.442684 4.07042i 0.0308433 0.283599i
\(207\) −2.96492 + 1.35936i −0.206076 + 0.0944820i
\(208\) 1.24180 0.841959i 0.0861031 0.0583793i
\(209\) −29.9943 + 18.0470i −2.07475 + 1.24834i
\(210\) 1.81840 + 3.03400i 0.125482 + 0.209366i
\(211\) −17.1858 4.77162i −1.18312 0.328492i −0.380385 0.924828i \(-0.624209\pi\)
−0.802735 + 0.596336i \(0.796622\pi\)
\(212\) 1.53951 2.55869i 0.105734 0.175732i
\(213\) 5.99427 + 17.8919i 0.410720 + 1.22594i
\(214\) −1.08086 + 3.20788i −0.0738861 + 0.219286i
\(215\) −1.84813 + 3.48595i −0.126042 + 0.237740i
\(216\) 5.86408 0.607171i 0.399000 0.0413128i
\(217\) −1.32137 0.895910i −0.0897003 0.0608183i
\(218\) −4.20880 0.228194i −0.285056 0.0154553i
\(219\) 2.26229 20.4739i 0.152872 1.38350i
\(220\) 7.96169 + 17.2089i 0.536777 + 1.16022i
\(221\) 1.48088 + 0.325966i 0.0996147 + 0.0219268i
\(222\) −0.375210 0.397471i −0.0251824 0.0266765i
\(223\) −1.01887 6.21486i −0.0682289 0.416178i −0.998752 0.0499446i \(-0.984096\pi\)
0.930523 0.366233i \(-0.119353\pi\)
\(224\) −11.5507 8.78062i −0.771764 0.586680i
\(225\) −7.32272 + 0.770927i −0.488181 + 0.0513951i
\(226\) −3.00939 + 2.85065i −0.200182 + 0.189622i
\(227\) −1.54009 + 9.39412i −0.102219 + 0.623510i 0.885179 + 0.465251i \(0.154036\pi\)
−0.987398 + 0.158258i \(0.949412\pi\)
\(228\) −10.4843 15.5205i −0.694339 1.02787i
\(229\) 11.9457 4.75962i 0.789397 0.314524i 0.0596299 0.998221i \(-0.481008\pi\)
0.729767 + 0.683696i \(0.239629\pi\)
\(230\) −0.345620 + 0.364867i −0.0227895 + 0.0240586i
\(231\) −37.7347 28.7877i −2.48276 1.89409i
\(232\) −0.161848 0.735283i −0.0106258 0.0482737i
\(233\) 13.2529 + 15.6025i 0.868226 + 1.02215i 0.999525 + 0.0308117i \(0.00980924\pi\)
−0.131299 + 0.991343i \(0.541915\pi\)
\(234\) −0.224237 0.297093i −0.0146588 0.0194216i
\(235\) 2.55212i 0.166482i
\(236\) −13.9459 + 4.70290i −0.907802 + 0.306133i
\(237\) −2.59429 9.40649i −0.168517 0.611017i
\(238\) −0.490011 4.50558i −0.0317627 0.292053i
\(239\) 10.9268 9.28132i 0.706797 0.600359i −0.220188 0.975457i \(-0.570667\pi\)
0.926985 + 0.375099i \(0.122391\pi\)
\(240\) −8.56158 + 4.52022i −0.552648 + 0.291779i
\(241\) 7.92083 6.02126i 0.510226 0.387863i −0.318147 0.948042i \(-0.603060\pi\)
0.828372 + 0.560178i \(0.189267\pi\)
\(242\) 5.77818 + 5.47338i 0.371435 + 0.351842i
\(243\) 2.38961 + 15.4042i 0.153293 + 0.988181i
\(244\) −6.37160 18.9102i −0.407900 1.21060i
\(245\) 19.7094 + 3.23120i 1.25919 + 0.206434i
\(246\) 2.22357 3.68127i 0.141770 0.234709i
\(247\) −1.01483 + 2.19351i −0.0645719 + 0.139570i
\(248\) −0.248114 + 0.326389i −0.0157553 + 0.0207257i
\(249\) −16.9040 + 7.78536i −1.07125 + 0.493377i
\(250\) −3.04442 + 1.61405i −0.192546 + 0.102081i
\(251\) 1.61333 7.32941i 0.101832 0.462628i −0.897916 0.440168i \(-0.854919\pi\)
0.999748 0.0224605i \(-0.00715000\pi\)
\(252\) 14.3236 20.9701i 0.902300 1.32099i
\(253\) 2.49604 6.26458i 0.156924 0.393851i
\(254\) −0.126953 + 2.34151i −0.00796572 + 0.146919i
\(255\) −9.26732 3.14027i −0.580342 0.196652i
\(256\) 6.27922 7.39246i 0.392451 0.462029i
\(257\) 15.4856 + 8.20993i 0.965963 + 0.512121i 0.875205 0.483752i \(-0.160726\pi\)
0.0907581 + 0.995873i \(0.471071\pi\)
\(258\) −1.23902 0.0693145i −0.0771382 0.00431533i
\(259\) −4.80509 + 0.260525i −0.298574 + 0.0161882i
\(260\) 1.12177 + 0.674949i 0.0695695 + 0.0418586i
\(261\) 1.92001 0.525983i 0.118845 0.0325575i
\(262\) 0.297110 + 1.07009i 0.0183555 + 0.0661106i
\(263\) 9.23868 + 15.3548i 0.569681 + 0.946817i 0.999045 + 0.0436860i \(0.0139101\pi\)
−0.429364 + 0.903131i \(0.641262\pi\)
\(264\) −7.90681 + 9.27625i −0.486631 + 0.570914i
\(265\) 2.47197 + 0.268842i 0.151852 + 0.0165149i
\(266\) 7.18148 + 0.781033i 0.440325 + 0.0478882i
\(267\) 17.3545 20.3602i 1.06208 1.24603i
\(268\) 0.169457 + 0.281640i 0.0103513 + 0.0172039i
\(269\) 5.71408 + 20.5803i 0.348394 + 1.25480i 0.905495 + 0.424357i \(0.139500\pi\)
−0.557101 + 0.830445i \(0.688086\pi\)
\(270\) 1.22770 + 2.06448i 0.0747152 + 0.125640i
\(271\) −6.75512 4.06442i −0.410344 0.246896i 0.295384 0.955379i \(-0.404552\pi\)
−0.705728 + 0.708483i \(0.749380\pi\)
\(272\) 12.3867 0.671585i 0.751051 0.0407208i
\(273\) −3.27185 0.183037i −0.198021 0.0110779i
\(274\) −1.84190 0.976514i −0.111273 0.0589934i
\(275\) 9.85541 11.6027i 0.594303 0.699668i
\(276\) 3.41734 + 1.15798i 0.205699 + 0.0697022i
\(277\) 1.23927 22.8570i 0.0744607 1.37335i −0.687717 0.725979i \(-0.741387\pi\)
0.762178 0.647367i \(-0.224130\pi\)
\(278\) 0.306999 0.770509i 0.0184126 0.0462121i
\(279\) −0.895180 0.611451i −0.0535930 0.0366066i
\(280\) 1.71920 7.81040i 0.102742 0.466761i
\(281\) 6.58863 3.49307i 0.393045 0.208379i −0.260151 0.965568i \(-0.583773\pi\)
0.653196 + 0.757189i \(0.273428\pi\)
\(282\) −0.729085 + 0.335790i −0.0434164 + 0.0199960i
\(283\) 5.28181 6.94810i 0.313971 0.413022i −0.611856 0.790969i \(-0.709577\pi\)
0.925827 + 0.377947i \(0.123370\pi\)
\(284\) 8.76477 18.9447i 0.520093 1.12416i
\(285\) 8.06368 13.3499i 0.477651 0.790782i
\(286\) 0.759423 + 0.124501i 0.0449056 + 0.00736190i
\(287\) −12.0897 35.8808i −0.713630 2.11798i
\(288\) −7.82297 5.98942i −0.460973 0.352930i
\(289\) −3.23995 3.06904i −0.190585 0.180532i
\(290\) 0.244196 0.185633i 0.0143397 0.0109007i
\(291\) −7.78313 + 4.10923i −0.456255 + 0.240887i
\(292\) −17.3673 + 14.7519i −1.01634 + 0.863290i
\(293\) −2.45416 22.5656i −0.143374 1.31830i −0.815886 0.578212i \(-0.803751\pi\)
0.672513 0.740085i \(-0.265215\pi\)
\(294\) 1.67015 + 6.05569i 0.0974049 + 0.353175i
\(295\) −8.43019 8.89508i −0.490825 0.517892i
\(296\) 1.23582i 0.0718304i
\(297\) −25.5564 19.6363i −1.48293 1.13941i
\(298\) 2.41986 + 2.84887i 0.140178 + 0.165031i
\(299\) −0.100090 0.454715i −0.00578837 0.0262968i
\(300\) 6.47604 + 4.94055i 0.373895 + 0.285243i
\(301\) −7.51330 + 7.93169i −0.433059 + 0.457175i
\(302\) −2.79771 + 1.11471i −0.160990 + 0.0641443i
\(303\) 4.54978 + 6.73533i 0.261378 + 0.386935i
\(304\) −3.19879 + 19.5117i −0.183463 + 1.11908i
\(305\) 12.0633 11.4270i 0.690745 0.654308i
\(306\) −0.322221 3.06064i −0.0184201 0.174965i
\(307\) −6.12410 4.65542i −0.349521 0.265699i 0.415652 0.909524i \(-0.363553\pi\)
−0.765173 + 0.643825i \(0.777347\pi\)
\(308\) 8.49423 + 51.8125i 0.484004 + 2.95229i
\(309\) −16.8027 17.7995i −0.955869 1.01258i
\(310\) −0.163134 0.0359084i −0.00926537 0.00203946i
\(311\) −6.13306 13.2564i −0.347774 0.751701i 0.652206 0.758042i \(-0.273844\pi\)
−0.999980 + 0.00634060i \(0.997982\pi\)
\(312\) −0.0924272 + 0.836472i −0.00523266 + 0.0473559i
\(313\) 0.113785 + 0.00616922i 0.00643149 + 0.000348705i 0.0573544 0.998354i \(-0.481734\pi\)
−0.0509229 + 0.998703i \(0.516216\pi\)
\(314\) 4.76154 + 3.22840i 0.268709 + 0.182189i
\(315\) 20.8559 + 3.49283i 1.17510 + 0.196799i
\(316\) −5.05615 + 9.53691i −0.284431 + 0.536493i
\(317\) −0.731737 + 2.17172i −0.0410984 + 0.121976i −0.966238 0.257652i \(-0.917051\pi\)
0.925139 + 0.379628i \(0.123948\pi\)
\(318\) 0.248441 + 0.741559i 0.0139319 + 0.0415845i
\(319\) −2.12195 + 3.52671i −0.118806 + 0.197458i
\(320\) 9.30906 + 2.58465i 0.520393 + 0.144486i
\(321\) 10.4034 + 17.3581i 0.580662 + 0.968834i
\(322\) −1.19243 + 0.717460i −0.0664514 + 0.0399825i
\(323\) −16.5399 + 11.2143i −0.920304 + 0.623982i
\(324\) 9.77534 14.2062i 0.543074 0.789235i
\(325\) 0.113642 1.04492i 0.00630373 0.0579619i
\(326\) 1.47782 + 2.17962i 0.0818488 + 0.120718i
\(327\) −17.3603 + 18.2641i −0.960027 + 1.01000i
\(328\) −9.36919 + 2.60134i −0.517327 + 0.143635i
\(329\) −1.89058 + 6.80924i −0.104231 + 0.375406i
\(330\) −4.78269 1.33677i −0.263279 0.0735867i
\(331\) −0.373996 6.89795i −0.0205567 0.379146i −0.990651 0.136419i \(-0.956441\pi\)
0.970095 0.242727i \(-0.0780420\pi\)
\(332\) 19.5101 + 6.57372i 1.07076 + 0.360780i
\(333\) −3.26349 + 0.165689i −0.178838 + 0.00907971i
\(334\) −3.08606 2.62132i −0.168862 0.143432i
\(335\) −0.153596 + 0.226537i −0.00839185 + 0.0123771i
\(336\) −26.1914 + 5.71798i −1.42886 + 0.311941i
\(337\) 2.75629 + 1.09821i 0.150145 + 0.0598231i 0.444000 0.896027i \(-0.353559\pi\)
−0.293855 + 0.955850i \(0.594938\pi\)
\(338\) −3.37008 + 1.55916i −0.183308 + 0.0848073i
\(339\) 1.29908 + 24.7471i 0.0705564 + 1.34408i
\(340\) 5.07026 + 9.56352i 0.274973 + 0.518655i
\(341\) 2.21180 0.362606i 0.119775 0.0196362i
\(342\) 4.87474 + 0.547126i 0.263596 + 0.0295852i
\(343\) 22.1254 + 10.2363i 1.19466 + 0.552707i
\(344\) 1.92950 + 2.03695i 0.104032 + 0.109825i
\(345\) 0.319711 + 2.98747i 0.0172127 + 0.160840i
\(346\) 5.77659 1.94636i 0.310551 0.104637i
\(347\) 3.42364 + 8.59270i 0.183791 + 0.461280i 0.991786 0.127909i \(-0.0408266\pi\)
−0.807995 + 0.589189i \(0.799447\pi\)
\(348\) −1.94393 1.03489i −0.104206 0.0554760i
\(349\) 15.3454 + 20.1865i 0.821419 + 1.08056i 0.995400 + 0.0958093i \(0.0305439\pi\)
−0.173981 + 0.984749i \(0.555663\pi\)
\(350\) −3.06813 + 0.675346i −0.163998 + 0.0360988i
\(351\) −2.22131 0.131930i −0.118565 0.00704190i
\(352\) 20.2506 2.20239i 1.07936 0.117388i
\(353\) −9.14785 −0.486891 −0.243445 0.969915i \(-0.578278\pi\)
−0.243445 + 0.969915i \(0.578278\pi\)
\(354\) 1.43194 3.57867i 0.0761070 0.190204i
\(355\) 17.3817 0.922524
\(356\) −29.4216 + 3.19979i −1.55934 + 0.169588i
\(357\) −22.3996 15.2436i −1.18551 0.806776i
\(358\) −1.82180 + 0.401007i −0.0962849 + 0.0211939i
\(359\) 1.76629 + 2.32351i 0.0932211 + 0.122630i 0.840339 0.542061i \(-0.182356\pi\)
−0.747118 + 0.664692i \(0.768563\pi\)
\(360\) 1.18565 5.29962i 0.0624895 0.279314i
\(361\) −4.75682 11.9387i −0.250359 0.628353i
\(362\) 1.40640 0.473870i 0.0739185 0.0249060i
\(363\) 47.3109 5.06308i 2.48318 0.265743i
\(364\) 2.49298 + 2.63181i 0.130668 + 0.137944i
\(365\) −17.2208 7.96719i −0.901378 0.417022i
\(366\) 4.85165 + 1.94275i 0.253600 + 0.101549i
\(367\) 7.55922 1.23927i 0.394588 0.0646894i 0.0387782 0.999248i \(-0.487653\pi\)
0.355810 + 0.934558i \(0.384205\pi\)
\(368\) −1.78417 3.36530i −0.0930062 0.175428i
\(369\) −8.12567 24.3930i −0.423006 1.26985i
\(370\) −0.456965 + 0.211414i −0.0237565 + 0.0109909i
\(371\) 6.39623 + 2.54849i 0.332076 + 0.132311i
\(372\) 0.255788 + 1.17165i 0.0132620 + 0.0607472i
\(373\) −1.79206 + 2.64309i −0.0927893 + 0.136854i −0.871250 0.490839i \(-0.836690\pi\)
0.778461 + 0.627693i \(0.216001\pi\)
\(374\) 4.84952 + 4.11922i 0.250763 + 0.213000i
\(375\) −4.46299 + 20.1108i −0.230468 + 1.03852i
\(376\) 1.71984 + 0.579483i 0.0886941 + 0.0298845i
\(377\) 0.0153850 + 0.283759i 0.000792367 + 0.0146144i
\(378\) 1.74625 + 6.41763i 0.0898172 + 0.330087i
\(379\) −5.94744 + 21.4207i −0.305499 + 1.10031i 0.638299 + 0.769788i \(0.279638\pi\)
−0.943799 + 0.330521i \(0.892775\pi\)
\(380\) −16.6243 + 4.61571i −0.852809 + 0.236781i
\(381\) 10.1610 + 9.65816i 0.520561 + 0.494803i
\(382\) −2.90205 4.28020i −0.148482 0.218994i
\(383\) −2.77670 + 25.5314i −0.141883 + 1.30459i 0.679272 + 0.733886i \(0.262296\pi\)
−0.821155 + 0.570705i \(0.806670\pi\)
\(384\) 2.30769 + 14.2294i 0.117764 + 0.726143i
\(385\) −36.1866 + 24.5351i −1.84424 + 1.25042i
\(386\) −3.49328 + 2.10184i −0.177804 + 0.106981i
\(387\) −5.12040 + 5.36845i −0.260285 + 0.272894i
\(388\) 9.38144 + 2.60474i 0.476271 + 0.132236i
\(389\) −4.41229 + 7.33329i −0.223712 + 0.371813i −0.948303 0.317367i \(-0.897201\pi\)
0.724591 + 0.689180i \(0.242029\pi\)
\(390\) −0.325112 + 0.108921i −0.0164627 + 0.00551543i
\(391\) 1.22920 3.64814i 0.0621633 0.184494i
\(392\) 6.65268 12.5483i 0.336011 0.633784i
\(393\) 6.02089 + 2.79814i 0.303714 + 0.141147i
\(394\) 4.03843 + 2.73813i 0.203453 + 0.137945i
\(395\) −8.97519 0.486621i −0.451591 0.0244846i
\(396\) 5.64701 + 35.2030i 0.283773 + 1.76902i
\(397\) −9.91986 21.4414i −0.497864 1.07611i −0.979813 0.199915i \(-0.935933\pi\)
0.481950 0.876199i \(-0.339929\pi\)
\(398\) −1.45858 0.321058i −0.0731121 0.0160932i
\(399\) 31.4039 29.6451i 1.57216 1.48411i
\(400\) −1.39112 8.48548i −0.0695562 0.424274i
\(401\) −27.8888 21.2005i −1.39270 1.05870i −0.989646 0.143529i \(-0.954155\pi\)
−0.403056 0.915175i \(-0.632052\pi\)
\(402\) −0.0849258 0.0140729i −0.00423572 0.000701890i
\(403\) 0.112348 0.106422i 0.00559644 0.00530123i
\(404\) 1.45467 8.87311i 0.0723726 0.441453i
\(405\) 14.1540 + 2.42049i 0.703317 + 0.120275i
\(406\) 0.789047 0.314385i 0.0391597 0.0156027i
\(407\) 4.64607 4.90479i 0.230297 0.243121i
\(408\) −4.22042 + 5.53210i −0.208942 + 0.273880i
\(409\) −4.45207 20.2260i −0.220141 1.00011i −0.948958 0.315401i \(-0.897861\pi\)
0.728818 0.684708i \(-0.240070\pi\)
\(410\) −2.56470 3.01940i −0.126662 0.149118i
\(411\) −11.5860 + 4.59320i −0.571493 + 0.226566i
\(412\) 27.0780i 1.33404i
\(413\) −15.9030 29.9777i −0.782535 1.47511i
\(414\) −0.811390 + 0.484405i −0.0398776 + 0.0238072i
\(415\) 1.85352 + 17.0429i 0.0909859 + 0.836602i
\(416\) 1.07193 0.910504i 0.0525556 0.0446411i
\(417\) −2.31506 4.38487i −0.113369 0.214728i
\(418\) −8.07382 + 6.13756i −0.394903 + 0.300198i
\(419\) 11.4943 + 10.8880i 0.561533 + 0.531913i 0.914957 0.403551i \(-0.132224\pi\)
−0.353424 + 0.935463i \(0.614983\pi\)
\(420\) −14.1247 18.6472i −0.689216 0.909891i
\(421\) −0.671569 1.99314i −0.0327303 0.0971399i 0.930043 0.367452i \(-0.119770\pi\)
−0.962773 + 0.270312i \(0.912873\pi\)
\(422\) −5.09942 0.836007i −0.248236 0.0406962i
\(423\) −1.29969 + 4.61938i −0.0631931 + 0.224602i
\(424\) 0.742452 1.60478i 0.0360567 0.0779352i
\(425\) 5.25928 6.91846i 0.255112 0.335595i
\(426\) 2.28696 + 4.96557i 0.110804 + 0.240582i
\(427\) 40.6508 21.5517i 1.96723 1.04296i
\(428\) 4.81252 21.8635i 0.232622 1.05681i
\(429\) 3.51156 2.97237i 0.169540 0.143507i
\(430\) −0.423113 + 1.06193i −0.0204043 + 0.0512110i
\(431\) −0.00365934 + 0.0674925i −0.000176264 + 0.00325100i −0.998620 0.0525133i \(-0.983277\pi\)
0.998444 + 0.0557643i \(0.0177596\pi\)
\(432\) −17.7986 + 3.82162i −0.856334 + 0.183868i
\(433\) −18.5828 + 21.8774i −0.893032 + 1.05136i 0.105346 + 0.994436i \(0.466405\pi\)
−0.998379 + 0.0569232i \(0.981871\pi\)
\(434\) −0.408652 0.216653i −0.0196159 0.0103997i
\(435\) 0.102428 1.83093i 0.00491103 0.0877865i
\(436\) 27.8345 1.50914i 1.33303 0.0722748i
\(437\) 5.25768 + 3.16344i 0.251509 + 0.151328i
\(438\) 0.0102601 5.96787i 0.000490247 0.285156i
\(439\) −3.86573 13.9231i −0.184501 0.664513i −0.996703 0.0811367i \(-0.974145\pi\)
0.812202 0.583377i \(-0.198269\pi\)
\(440\) 5.78854 + 9.62063i 0.275958 + 0.458646i
\(441\) 34.0289 + 15.8857i 1.62042 + 0.756463i
\(442\) 0.436741 + 0.0474985i 0.0207737 + 0.00225927i
\(443\) −12.1668 1.32322i −0.578062 0.0628681i −0.185583 0.982629i \(-0.559417\pi\)
−0.392480 + 0.919761i \(0.628383\pi\)
\(444\) 2.75107 + 2.34494i 0.130560 + 0.111286i
\(445\) −12.7051 21.1161i −0.602281 1.00100i
\(446\) −0.488140 1.75812i −0.0231141 0.0832495i
\(447\) 22.3461 + 0.0384179i 1.05693 + 0.00181711i
\(448\) 22.9226 + 13.7921i 1.08299 + 0.651614i
\(449\) −16.2934 + 0.883400i −0.768931 + 0.0416902i −0.434431 0.900705i \(-0.643050\pi\)
−0.334501 + 0.942396i \(0.608568\pi\)
\(450\) −2.08498 + 0.451428i −0.0982869 + 0.0212805i
\(451\) 46.9649 + 24.8992i 2.21149 + 1.17246i
\(452\) 17.7474 20.8938i 0.834765 0.982762i
\(453\) −5.77809 + 17.0518i −0.271479 + 0.801165i
\(454\) −0.149317 + 2.75399i −0.00700779 + 0.129251i
\(455\) −1.11730 + 2.80422i −0.0523799 + 0.131464i
\(456\) −7.16542 8.46524i −0.335552 0.396421i
\(457\) 0.139155 0.632186i 0.00650938 0.0295724i −0.973254 0.229732i \(-0.926215\pi\)
0.979763 + 0.200160i \(0.0641461\pi\)
\(458\) 3.29158 1.74509i 0.153806 0.0815426i
\(459\) −15.1748 10.4034i −0.708299 0.485590i
\(460\) 2.01143 2.64600i 0.0937836 0.123370i
\(461\) 12.6504 27.3434i 0.589189 1.27351i −0.352118 0.935956i \(-0.614538\pi\)
0.941306 0.337554i \(-0.109600\pi\)
\(462\) −11.7703 7.10955i −0.547604 0.330766i
\(463\) −32.8114 5.37915i −1.52487 0.249990i −0.659726 0.751506i \(-0.729328\pi\)
−0.865148 + 0.501516i \(0.832776\pi\)
\(464\) 0.742312 + 2.20310i 0.0344610 + 0.102277i
\(465\) −0.796021 + 0.602963i −0.0369146 + 0.0279617i
\(466\) 4.30591 + 4.07878i 0.199468 + 0.188946i
\(467\) −23.2526 + 17.6762i −1.07600 + 0.817955i −0.984065 0.177809i \(-0.943099\pi\)
−0.0919370 + 0.995765i \(0.529306\pi\)
\(468\) 1.68671 + 1.79294i 0.0779681 + 0.0828788i
\(469\) −0.577621 + 0.490636i −0.0266721 + 0.0226555i
\(470\) 0.0799443 + 0.735076i 0.00368756 + 0.0339065i
\(471\) 33.1541 9.14384i 1.52766 0.421326i
\(472\) −7.90844 + 3.66129i −0.364015 + 0.168525i
\(473\) 15.3384i 0.705259i
\(474\) −1.04188 2.62804i −0.0478549 0.120710i
\(475\) 8.96753 + 10.5574i 0.411459 + 0.484407i
\(476\) 6.44329 + 29.2721i 0.295328 + 1.34169i
\(477\) 4.33739 + 1.74548i 0.198595 + 0.0799200i
\(478\) 2.85647 3.01553i 0.130652 0.137927i
\(479\) −15.9321 + 6.34793i −0.727956 + 0.290044i −0.704523 0.709681i \(-0.748839\pi\)
−0.0234332 + 0.999725i \(0.507460\pi\)
\(480\) −7.52063 + 5.08026i −0.343268 + 0.231881i
\(481\) 0.0754646 0.460314i 0.00344089 0.0209885i
\(482\) 2.09279 1.98239i 0.0953238 0.0902955i
\(483\) −1.36007 + 8.20763i −0.0618852 + 0.373460i
\(484\) −41.9031 31.8539i −1.90469 1.44790i
\(485\) 1.31163 + 8.00060i 0.0595581 + 0.363288i
\(486\) 1.17080 + 4.36195i 0.0531085 + 0.197862i
\(487\) −24.0006 5.28294i −1.08757 0.239393i −0.365222 0.930920i \(-0.619007\pi\)
−0.722350 + 0.691527i \(0.756938\pi\)
\(488\) −4.96142 10.7239i −0.224593 0.485450i
\(489\) 15.6479 + 1.72903i 0.707621 + 0.0781896i
\(490\) 5.77804 + 0.313276i 0.261025 + 0.0141524i
\(491\) −16.2677 11.0298i −0.734153 0.497768i 0.135902 0.990722i \(-0.456607\pi\)
−0.870055 + 0.492954i \(0.835917\pi\)
\(492\) −11.9870 + 25.7929i −0.540414 + 1.16283i
\(493\) −1.10058 + 2.07591i −0.0495675 + 0.0934943i
\(494\) −0.223585 + 0.663576i −0.0100596 + 0.0298557i
\(495\) −24.6297 + 16.5760i −1.10702 + 0.745036i
\(496\) 0.652684 1.08477i 0.0293064 0.0487075i
\(497\) 46.3756 + 12.8761i 2.08023 + 0.577573i
\(498\) −4.62490 + 2.77189i −0.207247 + 0.124211i
\(499\) −8.59986 + 5.17436i −0.384983 + 0.231636i −0.694868 0.719138i \(-0.744537\pi\)
0.309885 + 0.950774i \(0.399709\pi\)
\(500\) 18.8618 12.7886i 0.843527 0.571926i
\(501\) −23.8944 + 3.87511i −1.06752 + 0.173127i
\(502\) 0.235087 2.16159i 0.0104925 0.0964766i
\(503\) 11.7874 + 17.3851i 0.525573 + 0.775162i 0.994121 0.108276i \(-0.0345329\pi\)
−0.468548 + 0.883438i \(0.655223\pi\)
\(504\) 7.08930 13.2614i 0.315782 0.590712i
\(505\) 7.21432 2.00305i 0.321033 0.0891344i
\(506\) 0.522686 1.88255i 0.0232362 0.0836893i
\(507\) −5.97563 + 21.3796i −0.265387 + 0.949502i
\(508\) −0.839589 15.4853i −0.0372508 0.687050i
\(509\) −0.347170 0.116975i −0.0153880 0.00518484i 0.311597 0.950214i \(-0.399136\pi\)
−0.326985 + 0.945030i \(0.606033\pi\)
\(510\) −2.76759 0.614183i −0.122551 0.0271965i
\(511\) −40.0444 34.0140i −1.77146 1.50469i
\(512\) 10.9182 16.1031i 0.482521 0.711665i
\(513\) 21.3940 20.0571i 0.944567 0.885543i
\(514\) 4.71741 + 1.87959i 0.208076 + 0.0829051i
\(515\) −20.4638 + 9.46756i −0.901742 + 0.417190i
\(516\) 8.19569 0.430227i 0.360795 0.0189397i
\(517\) −4.64726 8.76566i −0.204386 0.385513i
\(518\) −1.37583 + 0.225556i −0.0604504 + 0.00991034i
\(519\) 13.5466 33.8302i 0.594632 1.48498i
\(520\) 0.703565 + 0.325504i 0.0308534 + 0.0142743i
\(521\) −17.2659 18.2274i −0.756433 0.798557i 0.228122 0.973633i \(-0.426742\pi\)
−0.984555 + 0.175076i \(0.943983\pi\)
\(522\) 0.536534 0.211640i 0.0234835 0.00926323i
\(523\) 14.7230 4.96074i 0.643790 0.216918i 0.0215782 0.999767i \(-0.493131\pi\)
0.622212 + 0.782849i \(0.286234\pi\)
\(524\) −2.71855 6.82303i −0.118760 0.298066i
\(525\) −8.82580 + 16.5783i −0.385190 + 0.723536i
\(526\) 3.14196 + 4.13317i 0.136996 + 0.180215i
\(527\) 1.24958 0.275054i 0.0544327 0.0119815i
\(528\) 21.1750 31.1155i 0.921525 1.35413i
\(529\) 21.6900 2.35893i 0.943045 0.102562i
\(530\) 0.720410 0.0312926
\(531\) −10.7289 20.3934i −0.465594 0.884998i
\(532\) −47.7741 −2.07127
\(533\) 3.64866 0.396816i 0.158041 0.0171880i
\(534\) 4.36075 6.40789i 0.188708 0.277296i
\(535\) 18.2056 4.00736i 0.787098 0.173253i
\(536\) 0.117785 + 0.154944i 0.00508755 + 0.00669256i
\(537\) −5.24059 + 9.84387i −0.226148 + 0.424794i
\(538\) 2.29047 + 5.74865i 0.0987492 + 0.247842i
\(539\) −73.5790 + 24.7916i −3.16927 + 1.06785i
\(540\) −9.54782 12.6953i −0.410873 0.546320i
\(541\) −27.3752 28.8997i −1.17695 1.24249i −0.964138 0.265402i \(-0.914495\pi\)
−0.212815 0.977093i \(-0.568263\pi\)
\(542\) −2.07296 0.959054i −0.0890413 0.0411949i
\(543\) 3.29813 8.23647i 0.141536 0.353461i
\(544\) 11.4754 1.88130i 0.492003 0.0806599i
\(545\) 10.8725 + 20.5078i 0.465729 + 0.878458i
\(546\) −0.948110 + 0.0497704i −0.0405753 + 0.00212997i
\(547\) 0.0518490 0.0239879i 0.00221690 0.00102565i −0.418780 0.908088i \(-0.637542\pi\)
0.420997 + 0.907062i \(0.361680\pi\)
\(548\) 12.8081 + 5.10320i 0.547134 + 0.217998i
\(549\) 27.6542 14.5397i 1.18025 0.620540i
\(550\) 2.47516 3.65058i 0.105541 0.155661i
\(551\) −2.85435 2.42451i −0.121599 0.103287i
\(552\) 2.08581 + 0.462884i 0.0887782 + 0.0197016i
\(553\) −23.5860 7.94704i −1.00298 0.337943i
\(554\) −0.359047 6.62223i −0.0152544 0.281351i
\(555\) −0.810264 + 2.89896i −0.0343938 + 0.123054i
\(556\) −1.46747 + 5.28533i −0.0622344 + 0.224148i
\(557\) 32.1369 8.92276i 1.36168 0.378070i 0.491535 0.870858i \(-0.336436\pi\)
0.870149 + 0.492788i \(0.164022\pi\)
\(558\) −0.276988 0.148072i −0.0117258 0.00626839i
\(559\) −0.594310 0.876542i −0.0251367 0.0370738i
\(560\) −2.66997 + 24.5500i −0.112827 + 1.03743i
\(561\) 37.5483 6.08946i 1.58529 0.257097i
\(562\) 1.78827 1.21248i 0.0754338 0.0511454i
\(563\) −10.1977 + 6.13574i −0.429781 + 0.258591i −0.713968 0.700178i \(-0.753104\pi\)
0.284187 + 0.958769i \(0.408276\pi\)
\(564\) 4.55337 2.72902i 0.191731 0.114912i
\(565\) 21.9953 + 6.10697i 0.925351 + 0.256922i
\(566\) 1.30365 2.16668i 0.0547964 0.0910724i
\(567\) 35.9708 + 16.9431i 1.51063 + 0.711544i
\(568\) 3.94667 11.7133i 0.165599 0.491479i
\(569\) −7.97445 + 15.0414i −0.334306 + 0.630568i −0.992495 0.122285i \(-0.960978\pi\)
0.658189 + 0.752853i \(0.271323\pi\)
\(570\) 1.90436 4.09771i 0.0797650 0.171634i
\(571\) 16.6904 + 11.3163i 0.698470 + 0.473574i 0.858021 0.513615i \(-0.171694\pi\)
−0.159551 + 0.987190i \(0.551004\pi\)
\(572\) −5.08195 0.275535i −0.212487 0.0115207i
\(573\) −30.7283 3.39536i −1.28369 0.141843i
\(574\) −4.60608 9.95588i −0.192254 0.415551i
\(575\) −2.60610 0.573646i −0.108682 0.0239227i
\(576\) 15.5333 + 9.41898i 0.647221 + 0.392458i
\(577\) 2.52542 + 15.4044i 0.105135 + 0.641294i 0.985848 + 0.167643i \(0.0536157\pi\)
−0.880713 + 0.473651i \(0.842936\pi\)
\(578\) −1.02932 0.782471i −0.0428142 0.0325465i
\(579\) −3.98439 + 24.0447i −0.165586 + 0.999265i
\(580\) −1.47276 + 1.39508i −0.0611532 + 0.0579274i
\(581\) −7.67980 + 46.8447i −0.318612 + 1.94344i
\(582\) −2.11302 + 1.42737i −0.0875875 + 0.0591662i
\(583\) −8.97990 + 3.57792i −0.371909 + 0.148182i
\(584\) −9.27914 + 9.79586i −0.383973 + 0.405356i
\(585\) −0.765248 + 1.90159i −0.0316391 + 0.0786209i
\(586\) −1.41372 6.42260i −0.0584003 0.265315i
\(587\) −21.8862 25.7664i −0.903340 1.06349i −0.997688 0.0679550i \(-0.978353\pi\)
0.0943483 0.995539i \(-0.469923\pi\)
\(588\) −15.3106 38.6198i −0.631400 1.59265i
\(589\) 2.03940i 0.0840321i
\(590\) −2.70674 2.29794i −0.111435 0.0946046i
\(591\) 28.1192 7.75522i 1.15667 0.319007i
\(592\) −0.412585 3.79365i −0.0169571 0.155918i
\(593\) 19.3636 16.4476i 0.795167 0.675421i −0.154740 0.987955i \(-0.549454\pi\)
0.949906 + 0.312535i \(0.101178\pi\)
\(594\) −7.97600 4.85520i −0.327259 0.199211i
\(595\) −19.8691 + 15.1041i −0.814555 + 0.619208i
\(596\) −17.9467 17.0000i −0.735126 0.696348i
\(597\) −7.11724 + 5.39111i −0.291289 + 0.220643i
\(598\) −0.0430723 0.127834i −0.00176136 0.00522753i
\(599\) 42.5294 + 6.97234i 1.73770 + 0.284882i 0.945559 0.325451i \(-0.105516\pi\)
0.792145 + 0.610333i \(0.208965\pi\)
\(600\) 4.12855 + 2.49374i 0.168547 + 0.101807i
\(601\) 7.73936 16.7284i 0.315695 0.682364i −0.683156 0.730272i \(-0.739393\pi\)
0.998852 + 0.0479079i \(0.0152554\pi\)
\(602\) −1.91556 + 2.51988i −0.0780725 + 0.102703i
\(603\) −0.393378 + 0.331816i −0.0160196 + 0.0135126i
\(604\) 17.5969 9.32926i 0.716006 0.379602i
\(605\) 9.42209 42.8050i 0.383062 1.74027i
\(606\) 1.52143 + 1.79743i 0.0618041 + 0.0730154i
\(607\) −13.0375 + 32.7217i −0.529177 + 1.32813i 0.385037 + 0.922901i \(0.374189\pi\)
−0.914214 + 0.405233i \(0.867190\pi\)
\(608\) −1.00346 + 18.5077i −0.0406957 + 0.750588i
\(609\) 1.62962 4.80918i 0.0660353 0.194878i
\(610\) 3.11660 3.66915i 0.126187 0.148559i
\(611\) −0.605217 0.320866i −0.0244845 0.0129808i
\(612\) 4.30695 + 19.8922i 0.174098 + 0.804095i
\(613\) 18.0311 0.977620i 0.728271 0.0394857i 0.313725 0.949514i \(-0.398423\pi\)
0.414546 + 0.910028i \(0.363940\pi\)
\(614\) −1.90973 1.14904i −0.0770703 0.0463716i
\(615\) −23.6837 0.0407176i −0.955019 0.00164189i
\(616\) 8.31741 + 29.9566i 0.335118 + 1.20699i
\(617\) −16.9027 28.0926i −0.680479 1.13096i −0.984005 0.178141i \(-0.942992\pi\)
0.303526 0.952823i \(-0.401836\pi\)
\(618\) −5.39715 4.60038i −0.217105 0.185054i
\(619\) −2.82279 0.306996i −0.113457 0.0123392i 0.0512142 0.998688i \(-0.483691\pi\)
−0.164672 + 0.986348i \(0.552656\pi\)
\(620\) 1.09822 + 0.119439i 0.0441056 + 0.00479677i
\(621\) −0.942713 + 5.57019i −0.0378298 + 0.223524i
\(622\) −2.18173 3.62606i −0.0874794 0.145392i
\(623\) −18.2557 65.7511i −0.731399 2.63426i
\(624\) 0.00446761 2.59862i 0.000178848 0.104028i
\(625\) 5.74433 + 3.45625i 0.229773 + 0.138250i
\(626\) 0.0329661 0.00178737i 0.00131759 7.14377e-5i
\(627\) −3.38655 + 60.5359i −0.135246 + 2.41757i
\(628\) −33.6138 17.8209i −1.34134 0.711132i
\(629\) 2.49681 2.93947i 0.0995542 0.117204i
\(630\) 6.11644 + 0.352720i 0.243685 + 0.0140527i
\(631\) −2.66169 + 49.0921i −0.105960 + 1.95432i 0.152502 + 0.988303i \(0.451267\pi\)
−0.258462 + 0.966021i \(0.583216\pi\)
\(632\) −2.36583 + 5.93778i −0.0941076 + 0.236192i
\(633\) −23.5796 + 19.9590i −0.937206 + 0.793300i
\(634\) −0.142730 + 0.648431i −0.00566855 + 0.0257525i
\(635\) 11.4092 6.04879i 0.452761 0.240039i
\(636\) −2.16365 4.69783i −0.0857944 0.186281i
\(637\) −3.24423 + 4.26771i −0.128541 + 0.169093i
\(638\) −0.500703 + 1.08225i −0.0198230 + 0.0428467i
\(639\) 31.4612 + 8.85178i 1.24458 + 0.350171i
\(640\) 13.1039 + 2.14828i 0.517978 + 0.0849181i
\(641\) 1.24761 + 3.70278i 0.0492777 + 0.146251i 0.969466 0.245224i \(-0.0788615\pi\)
−0.920189 + 0.391475i \(0.871965\pi\)
\(642\) 3.54018 + 4.67369i 0.139720 + 0.184456i
\(643\) −0.485941 0.460307i −0.0191636 0.0181527i 0.678058 0.735009i \(-0.262822\pi\)
−0.697221 + 0.716856i \(0.745581\pi\)
\(644\) 7.32677 5.56966i 0.288715 0.219476i
\(645\) 3.19067 + 6.04333i 0.125633 + 0.237956i
\(646\) −4.41263 + 3.74812i −0.173612 + 0.147468i
\(647\) 1.93904 + 17.8291i 0.0762314 + 0.700936i 0.968429 + 0.249290i \(0.0801974\pi\)
−0.892197 + 0.451646i \(0.850837\pi\)
\(648\) 4.84493 8.98860i 0.190327 0.353105i
\(649\) 45.1522 + 15.2007i 1.77238 + 0.596679i
\(650\) 0.304524i 0.0119444i
\(651\) −2.57051 + 1.01907i −0.100746 + 0.0399404i
\(652\) −11.2746 13.2735i −0.441548 0.519831i
\(653\) 4.19294 + 19.0487i 0.164083 + 0.745435i 0.984743 + 0.174018i \(0.0556750\pi\)
−0.820660 + 0.571417i \(0.806394\pi\)
\(654\) −4.42809 + 5.80432i −0.173152 + 0.226967i
\(655\) 4.20589 4.44010i 0.164338 0.173489i
\(656\) 27.8926 11.1134i 1.08902 0.433907i
\(657\) −27.1126 23.1906i −1.05776 0.904752i
\(658\) −0.331237 + 2.02046i −0.0129130 + 0.0787656i
\(659\) 7.87956 7.46391i 0.306944 0.290753i −0.518686 0.854965i \(-0.673579\pi\)
0.825630 + 0.564212i \(0.190820\pi\)
\(660\) 32.4003 + 5.36898i 1.26118 + 0.208987i
\(661\) −3.18513 2.42127i −0.123887 0.0941765i 0.541396 0.840768i \(-0.317896\pi\)
−0.665283 + 0.746591i \(0.731689\pi\)
\(662\) −0.323796 1.97507i −0.0125847 0.0767633i
\(663\) 1.90983 1.80287i 0.0741716 0.0700175i
\(664\) 11.9058 + 2.62067i 0.462036 + 0.101702i
\(665\) −16.7037 36.1045i −0.647743 1.40007i
\(666\) −0.934779 + 0.149950i −0.0362219 + 0.00581046i
\(667\) 0.720408 + 0.0390594i 0.0278943 + 0.00151238i
\(668\) 22.1640 + 15.0276i 0.857553 + 0.581435i
\(669\) −9.89208 4.59723i −0.382450 0.177739i
\(670\) −0.0371434 + 0.0700598i −0.00143497 + 0.00270665i
\(671\) −20.6255 + 61.2144i −0.796240 + 2.36316i
\(672\) −23.8290 + 7.98333i −0.919223 + 0.307963i
\(673\) 22.0560 36.6574i 0.850197 1.41304i −0.0597058 0.998216i \(-0.519016\pi\)
0.909903 0.414822i \(-0.136156\pi\)
\(674\) 0.828283 + 0.229972i 0.0319043 + 0.00885817i
\(675\) −6.03185 + 11.2368i −0.232166 + 0.432506i
\(676\) 21.0422 12.6607i 0.809314 0.486948i
\(677\) 4.06932 2.75906i 0.156396 0.106039i −0.480479 0.877006i \(-0.659537\pi\)
0.636875 + 0.770967i \(0.280227\pi\)
\(678\) 1.14936 + 7.08710i 0.0441410 + 0.272178i
\(679\) −2.42721 + 22.3178i −0.0931477 + 0.856479i
\(680\) 3.59697 + 5.30514i 0.137938 + 0.203443i
\(681\) 11.9509 + 11.3596i 0.457960 + 0.435299i
\(682\) 0.625695 0.173723i 0.0239591 0.00665221i
\(683\) 7.69075 27.6996i 0.294278 1.05989i −0.657587 0.753378i \(-0.728423\pi\)
0.951865 0.306516i \(-0.0991633\pi\)
\(684\) −32.4409 0.111547i −1.24041 0.00426509i
\(685\) 0.621548 + 11.4638i 0.0237481 + 0.438008i
\(686\) 6.69331 + 2.25524i 0.255552 + 0.0861055i
\(687\) 4.82532 21.7435i 0.184097 0.829567i
\(688\) −6.60315 5.60876i −0.251743 0.213832i
\(689\) −0.374542 + 0.552408i −0.0142689 + 0.0210451i
\(690\) 0.185667 + 0.850453i 0.00706820 + 0.0323762i
\(691\) 23.6044 + 9.40486i 0.897954 + 0.357778i 0.773016 0.634387i \(-0.218747\pi\)
0.124939 + 0.992164i \(0.460127\pi\)
\(692\) −36.5872 + 16.9271i −1.39084 + 0.643470i
\(693\) −77.9930 + 25.9806i −2.96271 + 0.986923i
\(694\) 1.25526 + 2.36767i 0.0476490 + 0.0898756i
\(695\) −4.50739 + 0.738949i −0.170975 + 0.0280299i
\(696\) −1.21059 0.484755i −0.0458872 0.0183746i
\(697\) 27.5409 + 12.7418i 1.04319 + 0.482629i
\(698\) 5.05219 + 5.33354i 0.191228 + 0.201877i
\(699\) 35.2562 3.77302i 1.33351 0.142709i
\(700\) 19.6889 6.63397i 0.744172 0.250741i
\(701\) 9.29897 + 23.3387i 0.351217 + 0.881489i 0.993375 + 0.114917i \(0.0366601\pi\)
−0.642158 + 0.766572i \(0.721961\pi\)
\(702\) −0.643927 + 0.0315827i −0.0243035 + 0.00119201i
\(703\) 3.72019 + 4.89383i 0.140310 + 0.184574i
\(704\) −36.6799 + 8.07386i −1.38243 + 0.304295i
\(705\) 3.65445 + 2.48696i 0.137635 + 0.0936643i
\(706\) −2.63481 + 0.286553i −0.0991625 + 0.0107846i
\(707\) 20.7322 0.779713
\(708\) −6.85564 + 24.5524i −0.257651 + 0.922734i
\(709\) −5.51401 −0.207083 −0.103542 0.994625i \(-0.533017\pi\)
−0.103542 + 0.994625i \(0.533017\pi\)
\(710\) 5.00637 0.544475i 0.187886 0.0204338i
\(711\) −15.9974 5.45149i −0.599951 0.204447i
\(712\) −17.1147 + 3.76723i −0.641401 + 0.141183i
\(713\) −0.237760 0.312768i −0.00890419 0.0117133i
\(714\) −6.92915 3.68888i −0.259317 0.138053i
\(715\) −1.56862 3.93694i −0.0586631 0.147233i
\(716\) 11.6909 3.93912i 0.436910 0.147212i
\(717\) −2.64234 24.6907i −0.0986799 0.922092i
\(718\) 0.581519 + 0.613902i 0.0217021 + 0.0229106i
\(719\) −17.5581 8.12324i −0.654806 0.302946i 0.0642125 0.997936i \(-0.479546\pi\)
−0.719019 + 0.694991i \(0.755409\pi\)
\(720\) −1.87036 + 16.6644i −0.0697041 + 0.621044i
\(721\) −61.6123 + 10.1008i −2.29456 + 0.376174i
\(722\) −1.74406 3.28965i −0.0649072 0.122428i
\(723\) −0.903404 17.2096i −0.0335980 0.640031i
\(724\) −8.90770 + 4.12114i −0.331052 + 0.153161i
\(725\) 1.51302 + 0.602842i 0.0561922 + 0.0223890i
\(726\) 13.4681 2.94029i 0.499849 0.109124i
\(727\) −7.68594 + 11.3359i −0.285056 + 0.420426i −0.943077 0.332573i \(-0.892083\pi\)
0.658022 + 0.752999i \(0.271393\pi\)
\(728\) 1.63603 + 1.38966i 0.0606354 + 0.0515042i
\(729\) 24.3863 + 11.5892i 0.903196 + 0.429229i
\(730\) −5.20960 1.75532i −0.192816 0.0649672i
\(731\) −0.474049 8.74333i −0.0175333 0.323384i
\(732\) −33.2870 9.30375i −1.23032 0.343877i
\(733\) −2.38166 + 8.57798i −0.0879688 + 0.316835i −0.994422 0.105470i \(-0.966365\pi\)
0.906454 + 0.422305i \(0.138779\pi\)
\(734\) 2.13843 0.593731i 0.0789308 0.0219150i
\(735\) 23.8331 25.0738i 0.879095 0.924860i
\(736\) −2.00380 2.95538i −0.0738610 0.108937i
\(737\) 0.115039 1.05777i 0.00423752 0.0389634i
\(738\) −3.10450 6.77127i −0.114278 0.249254i
\(739\) 16.5528 11.2231i 0.608903 0.412847i −0.217392 0.976084i \(-0.569755\pi\)
0.826295 + 0.563238i \(0.190445\pi\)
\(740\) 2.85321 1.71672i 0.104886 0.0631078i
\(741\) 2.15203 + 3.59066i 0.0790568 + 0.131906i
\(742\) 1.92211 + 0.533670i 0.0705628 + 0.0195917i
\(743\) −13.5472 + 22.5157i −0.497000 + 0.826020i −0.999251 0.0387016i \(-0.987678\pi\)
0.502251 + 0.864722i \(0.332505\pi\)
\(744\) 0.225585 + 0.673337i 0.00827036 + 0.0246857i
\(745\) 6.57261 19.5068i 0.240802 0.714675i
\(746\) −0.433365 + 0.817412i −0.0158666 + 0.0299276i
\(747\) −5.32432 + 31.7918i −0.194807 + 1.16320i
\(748\) −34.8292 23.6148i −1.27348 0.863442i
\(749\) 51.5425 + 2.79456i 1.88332 + 0.102111i
\(750\) −0.655489 + 5.93222i −0.0239351 + 0.216614i
\(751\) 1.73917 + 3.75915i 0.0634632 + 0.137173i 0.936712 0.350102i \(-0.113853\pi\)
−0.873249 + 0.487275i \(0.837991\pi\)
\(752\) −5.47296 1.20469i −0.199578 0.0439305i
\(753\) −8.92304 9.45244i −0.325174 0.344466i
\(754\) 0.0133199 + 0.0812480i 0.000485083 + 0.00295888i
\(755\) 13.2030 + 10.0367i 0.480506 + 0.365271i
\(756\) −16.0698 40.9449i −0.584451 1.48915i
\(757\) 7.67657 7.27164i 0.279010 0.264292i −0.535379 0.844612i \(-0.679831\pi\)
0.814389 + 0.580320i \(0.197072\pi\)
\(758\) −1.04202 + 6.35602i −0.0378477 + 0.230861i
\(759\) −6.53811 9.67877i −0.237318 0.351317i
\(760\) −9.49070 + 3.78144i −0.344264 + 0.137167i
\(761\) −0.401151 + 0.423490i −0.0145417 + 0.0153515i −0.733226 0.679985i \(-0.761986\pi\)
0.718684 + 0.695337i \(0.244745\pi\)
\(762\) 3.22915 + 2.46351i 0.116980 + 0.0892435i
\(763\) 13.8168 + 62.7705i 0.500203 + 2.27245i
\(764\) 22.1404 + 26.0657i 0.801011 + 0.943023i
\(765\) −13.5273 + 10.2100i −0.489082 + 0.369144i
\(766\) 7.44066i 0.268842i
\(767\) 3.16929 0.880823i 0.114436 0.0318047i
\(768\) −4.46657 16.1951i −0.161173 0.584390i
\(769\) −2.46612 22.6756i −0.0889307 0.817704i −0.950639 0.310300i \(-0.899571\pi\)
0.861708 0.507404i \(-0.169395\pi\)
\(770\) −9.65410 + 8.20026i −0.347910 + 0.295517i
\(771\) 26.8462 14.1739i 0.966842 0.510460i
\(772\) 21.4642 16.3166i 0.772513 0.587249i