Properties

Label 930.2.br.a.11.13
Level $930$
Weight $2$
Character 930.11
Analytic conductor $7.426$
Analytic rank $0$
Dimension $176$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.br (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(176\)
Relative dimension: \(22\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 11.13
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.a.761.13

$q$-expansion

\(f(q)\) \(=\) \(q+(0.951057 - 0.309017i) q^{2} +(-1.50746 + 0.852971i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-1.17010 + 1.27705i) q^{6} +(-0.0129897 - 0.123589i) q^{7} +(0.587785 - 0.809017i) q^{8} +(1.54488 - 2.57164i) q^{9} +O(q^{10})\) \(q+(0.951057 - 0.309017i) q^{2} +(-1.50746 + 0.852971i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-1.17010 + 1.27705i) q^{6} +(-0.0129897 - 0.123589i) q^{7} +(0.587785 - 0.809017i) q^{8} +(1.54488 - 2.57164i) q^{9} +(-0.669131 + 0.743145i) q^{10} +(1.53643 + 0.684064i) q^{11} +(-0.718198 + 1.57613i) q^{12} +(0.248847 + 1.17073i) q^{13} +(-0.0505449 - 0.113526i) q^{14} +(0.879014 - 1.49243i) q^{15} +(0.309017 - 0.951057i) q^{16} +(0.251322 - 0.111896i) q^{17} +(0.674588 - 2.92317i) q^{18} +(4.89527 + 1.04052i) q^{19} +(-0.406737 + 0.913545i) q^{20} +(0.124999 + 0.175225i) q^{21} +(1.67262 + 0.175800i) q^{22} +(-2.82606 - 2.05325i) q^{23} +(-0.195996 + 1.72093i) q^{24} +(0.500000 - 0.866025i) q^{25} +(0.598443 + 1.03653i) q^{26} +(-0.135312 + 5.19439i) q^{27} +(-0.0831524 - 0.0923502i) q^{28} +(2.71830 + 8.36606i) q^{29} +(0.374808 - 1.69101i) q^{30} +(3.31997 + 4.46965i) q^{31} -1.00000i q^{32} +(-2.89960 + 0.279333i) q^{33} +(0.204444 - 0.184082i) q^{34} +(0.0730437 + 0.100536i) q^{35} +(-0.261739 - 2.98856i) q^{36} +(8.89048 + 5.13292i) q^{37} +(4.97721 - 0.523126i) q^{38} +(-1.37373 - 1.55257i) q^{39} +(-0.104528 + 0.994522i) q^{40} +(4.07719 + 3.67112i) q^{41} +(0.173029 + 0.128022i) q^{42} +(0.901877 - 4.24300i) q^{43} +(1.64508 - 0.349673i) q^{44} +(-0.0520847 + 2.99955i) q^{45} +(-3.32223 - 1.07946i) q^{46} +(-2.81695 - 0.915281i) q^{47} +(0.345392 + 1.69726i) q^{48} +(6.83193 - 1.45217i) q^{49} +(0.207912 - 0.978148i) q^{50} +(-0.283415 + 0.383050i) q^{51} +(0.889460 + 0.800874i) q^{52} +(0.920365 - 8.75669i) q^{53} +(1.47647 + 4.98197i) q^{54} +(-1.67262 + 0.175800i) q^{55} +(-0.107620 - 0.0621347i) q^{56} +(-8.26696 + 2.60697i) q^{57} +(5.17051 + 7.11659i) q^{58} +(0.903708 - 0.813702i) q^{59} +(-0.166088 - 1.72407i) q^{60} +3.06126i q^{61} +(4.53868 + 3.22496i) q^{62} +(-0.337893 - 0.157525i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(-0.800874 - 0.889460i) q^{65} +(-2.67137 + 1.16169i) q^{66} +(3.27663 + 5.67529i) q^{67} +(0.137553 - 0.238249i) q^{68} +(6.01154 + 0.684652i) q^{69} +(0.100536 + 0.0730437i) q^{70} +(-15.0775 - 1.58471i) q^{71} +(-1.17244 - 2.76141i) q^{72} +(-2.31783 + 5.20592i) q^{73} +(10.0415 + 2.13439i) q^{74} +(-0.0150361 + 1.73199i) q^{75} +(4.57196 - 2.03557i) q^{76} +(0.0645848 - 0.198771i) q^{77} +(-1.78626 - 1.05208i) q^{78} +(3.84839 + 8.64362i) q^{79} +(0.207912 + 0.978148i) q^{80} +(-4.22669 - 7.94576i) q^{81} +(5.01207 + 2.23152i) q^{82} +(-3.69418 + 4.10280i) q^{83} +(0.204121 + 0.0682877i) q^{84} +(-0.161704 + 0.222566i) q^{85} +(-0.453423 - 4.31403i) q^{86} +(-11.2337 - 10.2929i) q^{87} +(1.45651 - 0.840918i) q^{88} +(7.19218 - 5.22542i) q^{89} +(0.877376 + 2.86883i) q^{90} +(0.141457 - 0.0459621i) q^{91} -3.49320 q^{92} +(-8.81722 - 3.90598i) q^{93} -2.96191 q^{94} +(-4.75968 + 1.54652i) q^{95} +(0.852971 + 1.50746i) q^{96} +(3.57622 - 2.59827i) q^{97} +(6.04880 - 3.49228i) q^{98} +(4.13277 - 2.89436i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176q + 44q^{4} + 4q^{7} - 4q^{9} + O(q^{10}) \) \( 176q + 44q^{4} + 4q^{7} - 4q^{9} - 22q^{10} - 38q^{13} - 44q^{16} + 12q^{18} + 8q^{19} - 18q^{21} - 4q^{22} + 88q^{25} - 90q^{27} + 36q^{28} + 24q^{31} + 18q^{33} + 14q^{34} + 4q^{36} - 42q^{37} - 42q^{39} + 22q^{40} - 12q^{42} - 34q^{43} - 8q^{45} + 10q^{46} + 22q^{49} + 26q^{51} - 2q^{52} + 4q^{55} + 114q^{57} + 32q^{63} + 44q^{64} - 42q^{66} + 20q^{67} + 16q^{69} + 8q^{70} - 12q^{72} - 28q^{73} + 12q^{76} - 92q^{78} - 56q^{79} - 124q^{81} - 32q^{82} - 12q^{84} - 36q^{87} - 6q^{88} + 24q^{90} - 140q^{91} - 104q^{93} - 36q^{94} + 88q^{97} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{30}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.951057 0.309017i 0.672499 0.218508i
\(3\) −1.50746 + 0.852971i −0.870333 + 0.492463i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) −0.866025 + 0.500000i −0.387298 + 0.223607i
\(6\) −1.17010 + 1.27705i −0.477691 + 0.521356i
\(7\) −0.0129897 0.123589i −0.00490964 0.0467121i 0.991793 0.127856i \(-0.0408094\pi\)
−0.996702 + 0.0811436i \(0.974143\pi\)
\(8\) 0.587785 0.809017i 0.207813 0.286031i
\(9\) 1.54488 2.57164i 0.514960 0.857214i
\(10\) −0.669131 + 0.743145i −0.211598 + 0.235003i
\(11\) 1.53643 + 0.684064i 0.463252 + 0.206253i 0.625072 0.780567i \(-0.285070\pi\)
−0.161820 + 0.986820i \(0.551736\pi\)
\(12\) −0.718198 + 1.57613i −0.207326 + 0.454990i
\(13\) 0.248847 + 1.17073i 0.0690177 + 0.324703i 0.999089 0.0426765i \(-0.0135885\pi\)
−0.930071 + 0.367379i \(0.880255\pi\)
\(14\) −0.0505449 0.113526i −0.0135087 0.0303410i
\(15\) 0.879014 1.49243i 0.226961 0.385343i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) 0.251322 0.111896i 0.0609547 0.0271388i −0.376033 0.926606i \(-0.622712\pi\)
0.436988 + 0.899468i \(0.356045\pi\)
\(18\) 0.674588 2.92317i 0.159002 0.688998i
\(19\) 4.89527 + 1.04052i 1.12305 + 0.238712i 0.731765 0.681557i \(-0.238697\pi\)
0.391286 + 0.920269i \(0.372030\pi\)
\(20\) −0.406737 + 0.913545i −0.0909491 + 0.204275i
\(21\) 0.124999 + 0.175225i 0.0272770 + 0.0382373i
\(22\) 1.67262 + 0.175800i 0.356604 + 0.0374806i
\(23\) −2.82606 2.05325i −0.589274 0.428133i 0.252782 0.967523i \(-0.418655\pi\)
−0.842056 + 0.539391i \(0.818655\pi\)
\(24\) −0.195996 + 1.72093i −0.0400074 + 0.351283i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 0.598443 + 1.03653i 0.117364 + 0.203281i
\(27\) −0.135312 + 5.19439i −0.0260407 + 0.999661i
\(28\) −0.0831524 0.0923502i −0.0157143 0.0174525i
\(29\) 2.71830 + 8.36606i 0.504775 + 1.55354i 0.801148 + 0.598466i \(0.204223\pi\)
−0.296373 + 0.955072i \(0.595777\pi\)
\(30\) 0.374808 1.69101i 0.0684302 0.308735i
\(31\) 3.31997 + 4.46965i 0.596285 + 0.802773i
\(32\) 1.00000i 0.176777i
\(33\) −2.89960 + 0.279333i −0.504756 + 0.0486256i
\(34\) 0.204444 0.184082i 0.0350619 0.0315699i
\(35\) 0.0730437 + 0.100536i 0.0123466 + 0.0169937i
\(36\) −0.261739 2.98856i −0.0436231 0.498093i
\(37\) 8.89048 + 5.13292i 1.46159 + 0.843847i 0.999085 0.0427714i \(-0.0136187\pi\)
0.462501 + 0.886619i \(0.346952\pi\)
\(38\) 4.97721 0.523126i 0.807410 0.0848623i
\(39\) −1.37373 1.55257i −0.219972 0.248611i
\(40\) −0.104528 + 0.994522i −0.0165274 + 0.157248i
\(41\) 4.07719 + 3.67112i 0.636750 + 0.573332i 0.922989 0.384826i \(-0.125739\pi\)
−0.286239 + 0.958158i \(0.592405\pi\)
\(42\) 0.173029 + 0.128022i 0.0266989 + 0.0197543i
\(43\) 0.901877 4.24300i 0.137535 0.647051i −0.854327 0.519736i \(-0.826030\pi\)
0.991862 0.127316i \(-0.0406362\pi\)
\(44\) 1.64508 0.349673i 0.248006 0.0527152i
\(45\) −0.0520847 + 2.99955i −0.00776433 + 0.447146i
\(46\) −3.32223 1.07946i −0.489836 0.159157i
\(47\) −2.81695 0.915281i −0.410894 0.133507i 0.0962739 0.995355i \(-0.469308\pi\)
−0.507168 + 0.861847i \(0.669308\pi\)
\(48\) 0.345392 + 1.69726i 0.0498531 + 0.244979i
\(49\) 6.83193 1.45217i 0.975990 0.207453i
\(50\) 0.207912 0.978148i 0.0294032 0.138331i
\(51\) −0.283415 + 0.383050i −0.0396860 + 0.0536377i
\(52\) 0.889460 + 0.800874i 0.123346 + 0.111061i
\(53\) 0.920365 8.75669i 0.126422 1.20282i −0.728861 0.684662i \(-0.759950\pi\)
0.855283 0.518162i \(-0.173383\pi\)
\(54\) 1.47647 + 4.98197i 0.200922 + 0.677961i
\(55\) −1.67262 + 0.175800i −0.225536 + 0.0237048i
\(56\) −0.107620 0.0621347i −0.0143814 0.00830310i
\(57\) −8.26696 + 2.60697i −1.09499 + 0.345302i
\(58\) 5.17051 + 7.11659i 0.678921 + 0.934455i
\(59\) 0.903708 0.813702i 0.117653 0.105935i −0.608205 0.793780i \(-0.708110\pi\)
0.725857 + 0.687845i \(0.241443\pi\)
\(60\) −0.166088 1.72407i −0.0214419 0.222576i
\(61\) 3.06126i 0.391954i 0.980609 + 0.195977i \(0.0627878\pi\)
−0.980609 + 0.195977i \(0.937212\pi\)
\(62\) 4.53868 + 3.22496i 0.576413 + 0.409571i
\(63\) −0.337893 0.157525i −0.0425705 0.0198463i
\(64\) −0.309017 0.951057i −0.0386271 0.118882i
\(65\) −0.800874 0.889460i −0.0993361 0.110324i
\(66\) −2.67137 + 1.16169i −0.328822 + 0.142994i
\(67\) 3.27663 + 5.67529i 0.400304 + 0.693347i 0.993762 0.111518i \(-0.0355712\pi\)
−0.593458 + 0.804865i \(0.702238\pi\)
\(68\) 0.137553 0.238249i 0.0166808 0.0288920i
\(69\) 6.01154 + 0.684652i 0.723704 + 0.0824224i
\(70\) 0.100536 + 0.0730437i 0.0120164 + 0.00873039i
\(71\) −15.0775 1.58471i −1.78937 0.188071i −0.849042 0.528326i \(-0.822820\pi\)
−0.940333 + 0.340255i \(0.889487\pi\)
\(72\) −1.17244 2.76141i −0.138174 0.325435i
\(73\) −2.31783 + 5.20592i −0.271281 + 0.609307i −0.996890 0.0787997i \(-0.974891\pi\)
0.725609 + 0.688107i \(0.241558\pi\)
\(74\) 10.0415 + 2.13439i 1.16730 + 0.248118i
\(75\) −0.0150361 + 1.73199i −0.00173622 + 0.199992i
\(76\) 4.57196 2.03557i 0.524439 0.233495i
\(77\) 0.0645848 0.198771i 0.00736012 0.0226521i
\(78\) −1.78626 1.05208i −0.202255 0.119125i
\(79\) 3.84839 + 8.64362i 0.432977 + 0.972483i 0.989880 + 0.141905i \(0.0453229\pi\)
−0.556903 + 0.830578i \(0.688010\pi\)
\(80\) 0.207912 + 0.978148i 0.0232452 + 0.109360i
\(81\) −4.22669 7.94576i −0.469632 0.882862i
\(82\) 5.01207 + 2.23152i 0.553491 + 0.246430i
\(83\) −3.69418 + 4.10280i −0.405489 + 0.450341i −0.910955 0.412505i \(-0.864654\pi\)
0.505466 + 0.862846i \(0.331321\pi\)
\(84\) 0.204121 + 0.0682877i 0.0222714 + 0.00745080i
\(85\) −0.161704 + 0.222566i −0.0175392 + 0.0241407i
\(86\) −0.453423 4.31403i −0.0488938 0.465194i
\(87\) −11.2337 10.2929i −1.20438 1.10351i
\(88\) 1.45651 0.840918i 0.155265 0.0896421i
\(89\) 7.19218 5.22542i 0.762369 0.553894i −0.137267 0.990534i \(-0.543832\pi\)
0.899636 + 0.436640i \(0.143832\pi\)
\(90\) 0.877376 + 2.86883i 0.0924835 + 0.302402i
\(91\) 0.141457 0.0459621i 0.0148287 0.00481813i
\(92\) −3.49320 −0.364191
\(93\) −8.81722 3.90598i −0.914303 0.405032i
\(94\) −2.96191 −0.305498
\(95\) −4.75968 + 1.54652i −0.488333 + 0.158669i
\(96\) 0.852971 + 1.50746i 0.0870560 + 0.153855i
\(97\) 3.57622 2.59827i 0.363110 0.263815i −0.391238 0.920289i \(-0.627953\pi\)
0.754348 + 0.656475i \(0.227953\pi\)
\(98\) 6.04880 3.49228i 0.611021 0.352773i
\(99\) 4.13277 2.89436i 0.415359 0.290894i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) 4.55186 6.26510i 0.452927 0.623400i −0.520096 0.854108i \(-0.674104\pi\)
0.973023 + 0.230707i \(0.0741040\pi\)
\(102\) −0.151175 + 0.451882i −0.0149685 + 0.0447430i
\(103\) −6.85675 + 7.61520i −0.675616 + 0.750348i −0.979298 0.202426i \(-0.935117\pi\)
0.303682 + 0.952774i \(0.401784\pi\)
\(104\) 1.09341 + 0.486818i 0.107218 + 0.0477364i
\(105\) −0.195865 0.0892500i −0.0191145 0.00870991i
\(106\) −1.83065 8.61251i −0.177808 0.836521i
\(107\) −6.40126 14.3775i −0.618833 1.38992i −0.902371 0.430961i \(-0.858175\pi\)
0.283537 0.958961i \(-0.408492\pi\)
\(108\) 2.94372 + 4.28188i 0.283259 + 0.412024i
\(109\) 5.38767 16.5815i 0.516045 1.58822i −0.265326 0.964159i \(-0.585480\pi\)
0.781372 0.624066i \(-0.214520\pi\)
\(110\) −1.53643 + 0.684064i −0.146493 + 0.0652230i
\(111\) −17.7803 0.154359i −1.68763 0.0146511i
\(112\) −0.121554 0.0258371i −0.0114858 0.00244137i
\(113\) 1.06107 2.38320i 0.0998169 0.224192i −0.856734 0.515759i \(-0.827510\pi\)
0.956550 + 0.291567i \(0.0941766\pi\)
\(114\) −7.05675 + 5.03401i −0.660925 + 0.471478i
\(115\) 3.47406 + 0.365139i 0.323958 + 0.0340494i
\(116\) 7.11659 + 5.17051i 0.660759 + 0.480070i
\(117\) 3.39514 + 1.16870i 0.313881 + 0.108046i
\(118\) 0.608029 1.05314i 0.0559736 0.0969492i
\(119\) −0.0170937 0.0296071i −0.00156697 0.00271408i
\(120\) −0.690726 1.58836i −0.0630543 0.144997i
\(121\) −5.46775 6.07256i −0.497069 0.552051i
\(122\) 0.945980 + 2.91143i 0.0856450 + 0.263588i
\(123\) −9.27756 2.05634i −0.836529 0.185414i
\(124\) 5.31311 + 1.66459i 0.477131 + 0.149485i
\(125\) 1.00000i 0.0894427i
\(126\) −0.370033 0.0454003i −0.0329652 0.00404458i
\(127\) 4.00873 3.60948i 0.355717 0.320289i −0.471826 0.881692i \(-0.656405\pi\)
0.827543 + 0.561403i \(0.189738\pi\)
\(128\) −0.587785 0.809017i −0.0519534 0.0715077i
\(129\) 2.25961 + 7.16543i 0.198948 + 0.630881i
\(130\) −1.03653 0.598443i −0.0909101 0.0524870i
\(131\) 1.63964 0.172333i 0.143256 0.0150568i −0.0326290 0.999468i \(-0.510388\pi\)
0.175885 + 0.984411i \(0.443721\pi\)
\(132\) −2.18164 + 1.93033i −0.189887 + 0.168013i
\(133\) 0.0650086 0.618515i 0.00563696 0.0536321i
\(134\) 4.87002 + 4.38499i 0.420706 + 0.378805i
\(135\) −2.48001 4.56613i −0.213445 0.392990i
\(136\) 0.0571979 0.269095i 0.00490468 0.0230747i
\(137\) −13.4550 + 2.85994i −1.14953 + 0.244341i −0.742998 0.669293i \(-0.766597\pi\)
−0.406537 + 0.913635i \(0.633264\pi\)
\(138\) 5.92888 1.20653i 0.504700 0.102706i
\(139\) −3.15726 1.02586i −0.267796 0.0870121i 0.172041 0.985090i \(-0.444964\pi\)
−0.439837 + 0.898078i \(0.644964\pi\)
\(140\) 0.118187 + 0.0384014i 0.00998864 + 0.00324551i
\(141\) 5.02715 1.02302i 0.423362 0.0861540i
\(142\) −14.8293 + 3.15206i −1.24445 + 0.264515i
\(143\) −0.418519 + 1.96898i −0.0349983 + 0.164654i
\(144\) −1.96838 2.26395i −0.164032 0.188662i
\(145\) −6.53714 5.88607i −0.542880 0.488812i
\(146\) −0.595665 + 5.66737i −0.0492976 + 0.469035i
\(147\) −9.06021 + 8.01653i −0.747273 + 0.661192i
\(148\) 10.2096 1.07307i 0.839224 0.0882060i
\(149\) 0.401614 + 0.231872i 0.0329015 + 0.0189957i 0.516361 0.856371i \(-0.327286\pi\)
−0.483459 + 0.875367i \(0.660620\pi\)
\(150\) 0.520913 + 1.65186i 0.0425323 + 0.134874i
\(151\) −0.529925 0.729379i −0.0431247 0.0593560i 0.786910 0.617068i \(-0.211680\pi\)
−0.830035 + 0.557712i \(0.811680\pi\)
\(152\) 3.71916 3.34875i 0.301664 0.271619i
\(153\) 0.100507 0.819177i 0.00812549 0.0662266i
\(154\) 0.209001i 0.0168418i
\(155\) −5.11001 2.21084i −0.410446 0.177579i
\(156\) −2.02395 0.448602i −0.162046 0.0359169i
\(157\) −1.66784 5.13309i −0.133108 0.409666i 0.862183 0.506598i \(-0.169097\pi\)
−0.995291 + 0.0969321i \(0.969097\pi\)
\(158\) 6.33106 + 7.03135i 0.503672 + 0.559384i
\(159\) 6.08179 + 13.9854i 0.482317 + 1.10912i
\(160\) 0.500000 + 0.866025i 0.0395285 + 0.0684653i
\(161\) −0.217049 + 0.375940i −0.0171059 + 0.0296282i
\(162\) −6.47519 6.25075i −0.508739 0.491105i
\(163\) −11.1246 8.08251i −0.871348 0.633071i 0.0596005 0.998222i \(-0.481017\pi\)
−0.930948 + 0.365151i \(0.881017\pi\)
\(164\) 5.45634 + 0.573485i 0.426069 + 0.0447816i
\(165\) 2.37146 1.69171i 0.184618 0.131699i
\(166\) −2.24554 + 5.04356i −0.174288 + 0.391457i
\(167\) −4.95913 1.05409i −0.383749 0.0815683i 0.0119980 0.999928i \(-0.496181\pi\)
−0.395747 + 0.918360i \(0.629514\pi\)
\(168\) 0.215233 + 0.00186853i 0.0166056 + 0.000144160i
\(169\) 10.5674 4.70491i 0.812877 0.361916i
\(170\) −0.0850126 + 0.261642i −0.00652017 + 0.0200670i
\(171\) 10.2384 10.9814i 0.782954 0.839768i
\(172\) −1.76434 3.96277i −0.134530 0.302158i
\(173\) 4.89946 + 23.0502i 0.372499 + 1.75247i 0.620972 + 0.783833i \(0.286738\pi\)
−0.248473 + 0.968639i \(0.579929\pi\)
\(174\) −13.8646 6.31770i −1.05107 0.478943i
\(175\) −0.113526 0.0505449i −0.00858174 0.00382084i
\(176\) 1.12537 1.24985i 0.0848278 0.0942108i
\(177\) −0.668240 + 1.99746i −0.0502280 + 0.150138i
\(178\) 5.22542 7.19218i 0.391662 0.539077i
\(179\) −0.00672597 0.0639933i −0.000502723 0.00478309i 0.994268 0.106920i \(-0.0340988\pi\)
−0.994770 + 0.102137i \(0.967432\pi\)
\(180\) 1.72095 + 2.45730i 0.128272 + 0.183156i
\(181\) −13.7532 + 7.94044i −1.02227 + 0.590208i −0.914761 0.403996i \(-0.867621\pi\)
−0.107509 + 0.994204i \(0.534288\pi\)
\(182\) 0.120330 0.0874251i 0.00891947 0.00648038i
\(183\) −2.61116 4.61473i −0.193023 0.341130i
\(184\) −3.32223 + 1.07946i −0.244918 + 0.0795787i
\(185\) −10.2658 −0.754760
\(186\) −9.59269 0.990142i −0.703370 0.0726007i
\(187\) 0.462684 0.0338348
\(188\) −2.81695 + 0.915281i −0.205447 + 0.0667537i
\(189\) 0.643725 0.0507505i 0.0468241 0.00369156i
\(190\) −4.04883 + 2.94165i −0.293733 + 0.213409i
\(191\) −20.5622 + 11.8716i −1.48783 + 0.858999i −0.999904 0.0138856i \(-0.995580\pi\)
−0.487927 + 0.872885i \(0.662247\pi\)
\(192\) 1.27705 + 1.17010i 0.0921635 + 0.0844446i
\(193\) −1.23626 11.7622i −0.0889880 0.846664i −0.944418 0.328746i \(-0.893374\pi\)
0.855430 0.517918i \(-0.173293\pi\)
\(194\) 2.59827 3.57622i 0.186545 0.256757i
\(195\) 1.96597 + 0.657705i 0.140786 + 0.0470992i
\(196\) 4.67358 5.19054i 0.333827 0.370753i
\(197\) −5.64299 2.51242i −0.402047 0.179003i 0.195744 0.980655i \(-0.437288\pi\)
−0.597790 + 0.801652i \(0.703955\pi\)
\(198\) 3.03610 4.02980i 0.215766 0.286385i
\(199\) 3.92159 + 18.4496i 0.277994 + 1.30786i 0.866424 + 0.499310i \(0.166413\pi\)
−0.588430 + 0.808548i \(0.700254\pi\)
\(200\) −0.406737 0.913545i −0.0287606 0.0645974i
\(201\) −9.78025 5.76041i −0.689846 0.406308i
\(202\) 2.39305 7.36506i 0.168375 0.518204i
\(203\) 0.998640 0.444623i 0.0700908 0.0312064i
\(204\) −0.00413654 + 0.476481i −0.000289616 + 0.0333603i
\(205\) −5.36651 1.14069i −0.374813 0.0796690i
\(206\) −4.16794 + 9.36134i −0.290394 + 0.652235i
\(207\) −9.64615 + 4.09558i −0.670454 + 0.284663i
\(208\) 1.19033 + 0.125109i 0.0825345 + 0.00867473i
\(209\) 6.80946 + 4.94737i 0.471021 + 0.342216i
\(210\) −0.213858 0.0243562i −0.0147576 0.00168074i
\(211\) 10.6534 18.4522i 0.733409 1.27030i −0.222009 0.975045i \(-0.571261\pi\)
0.955418 0.295257i \(-0.0954053\pi\)
\(212\) −4.40246 7.62529i −0.302362 0.523707i
\(213\) 24.0805 10.4718i 1.64997 0.717517i
\(214\) −10.5308 11.6957i −0.719874 0.799501i
\(215\) 1.34045 + 4.12548i 0.0914180 + 0.281356i
\(216\) 4.12282 + 3.16266i 0.280522 + 0.215191i
\(217\) 0.509272 0.468370i 0.0345717 0.0317951i
\(218\) 17.4349i 1.18084i
\(219\) −0.946468 9.82477i −0.0639564 0.663896i
\(220\) −1.24985 + 1.12537i −0.0842647 + 0.0758723i
\(221\) 0.193541 + 0.266386i 0.0130190 + 0.0179191i
\(222\) −16.9578 + 5.34761i −1.13813 + 0.358908i
\(223\) −11.8236 6.82639i −0.791770 0.457129i 0.0488153 0.998808i \(-0.484455\pi\)
−0.840585 + 0.541679i \(0.817789\pi\)
\(224\) −0.123589 + 0.0129897i −0.00825761 + 0.000867910i
\(225\) −1.45467 2.62373i −0.0969778 0.174915i
\(226\) 0.272687 2.59445i 0.0181389 0.172580i
\(227\) −7.21742 6.49860i −0.479037 0.431327i 0.393905 0.919151i \(-0.371124\pi\)
−0.872942 + 0.487824i \(0.837791\pi\)
\(228\) −5.15577 + 6.96828i −0.341449 + 0.461486i
\(229\) 2.50829 11.8006i 0.165753 0.779805i −0.814202 0.580582i \(-0.802825\pi\)
0.979954 0.199223i \(-0.0638417\pi\)
\(230\) 3.41687 0.726277i 0.225301 0.0478893i
\(231\) 0.0721873 + 0.354729i 0.00474957 + 0.0233395i
\(232\) 8.36606 + 2.71830i 0.549259 + 0.178465i
\(233\) 20.9613 + 6.81073i 1.37322 + 0.446186i 0.900434 0.434992i \(-0.143249\pi\)
0.472785 + 0.881178i \(0.343249\pi\)
\(234\) 3.59012 + 0.0623395i 0.234693 + 0.00407526i
\(235\) 2.89719 0.615816i 0.188992 0.0401714i
\(236\) 0.252833 1.18948i 0.0164580 0.0774289i
\(237\) −13.1741 9.74736i −0.855747 0.633159i
\(238\) −0.0254061 0.0228758i −0.00164684 0.00148282i
\(239\) 0.432890 4.11868i 0.0280013 0.266415i −0.971560 0.236794i \(-0.923903\pi\)
0.999561 0.0296209i \(-0.00943001\pi\)
\(240\) −1.14775 1.29718i −0.0740870 0.0837324i
\(241\) 22.4566 2.36028i 1.44656 0.152039i 0.651534 0.758620i \(-0.274126\pi\)
0.795022 + 0.606580i \(0.207459\pi\)
\(242\) −7.07667 4.08571i −0.454905 0.262640i
\(243\) 13.1491 + 8.37269i 0.843513 + 0.537108i
\(244\) 1.79936 + 2.47661i 0.115192 + 0.158549i
\(245\) −5.19054 + 4.67358i −0.331611 + 0.298584i
\(246\) −9.45893 + 0.911225i −0.603079 + 0.0580976i
\(247\) 5.98997i 0.381133i
\(248\) 5.56745 0.0587210i 0.353534 0.00372879i
\(249\) 2.06926 9.33585i 0.131134 0.591636i
\(250\) 0.309017 + 0.951057i 0.0195440 + 0.0601501i
\(251\) 4.81886 + 5.35188i 0.304164 + 0.337808i 0.875778 0.482715i \(-0.160349\pi\)
−0.571614 + 0.820523i \(0.693683\pi\)
\(252\) −0.365952 + 0.0711684i −0.0230528 + 0.00448319i
\(253\) −2.93749 5.08789i −0.184679 0.319873i
\(254\) 2.69714 4.67158i 0.169233 0.293121i
\(255\) 0.0539197 0.473438i 0.00337658 0.0296479i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) −5.78764 0.608305i −0.361023 0.0379450i −0.0777192 0.996975i \(-0.524764\pi\)
−0.283304 + 0.959030i \(0.591430\pi\)
\(258\) 4.36326 + 6.11648i 0.271645 + 0.380795i
\(259\) 0.518886 1.16544i 0.0322420 0.0724168i
\(260\) −1.17073 0.248847i −0.0726057 0.0154328i
\(261\) 25.7140 + 5.93407i 1.59165 + 0.367310i
\(262\) 1.50614 0.670575i 0.0930494 0.0414282i
\(263\) −1.69580 + 5.21912i −0.104567 + 0.321825i −0.989629 0.143649i \(-0.954116\pi\)
0.885061 + 0.465474i \(0.154116\pi\)
\(264\) −1.47836 + 2.51001i −0.0909866 + 0.154481i
\(265\) 3.58128 + 8.04370i 0.219997 + 0.494120i
\(266\) −0.129305 0.608332i −0.00792819 0.0372992i
\(267\) −6.38480 + 14.0118i −0.390743 + 0.857511i
\(268\) 5.98670 + 2.66545i 0.365696 + 0.162818i
\(269\) 12.1147 13.4547i 0.738646 0.820350i −0.250371 0.968150i \(-0.580553\pi\)
0.989017 + 0.147800i \(0.0472192\pi\)
\(270\) −3.76964 3.57628i −0.229413 0.217646i
\(271\) 4.46470 6.14513i 0.271211 0.373290i −0.651587 0.758574i \(-0.725896\pi\)
0.922798 + 0.385284i \(0.125896\pi\)
\(272\) −0.0287565 0.273600i −0.00174362 0.0165894i
\(273\) −0.174036 + 0.189945i −0.0105332 + 0.0114960i
\(274\) −11.9127 + 6.87778i −0.719670 + 0.415502i
\(275\) 1.36063 0.988558i 0.0820493 0.0596123i
\(276\) 5.26587 2.97960i 0.316968 0.179351i
\(277\) −13.5789 + 4.41204i −0.815875 + 0.265094i −0.687084 0.726578i \(-0.741110\pi\)
−0.128791 + 0.991672i \(0.541110\pi\)
\(278\) −3.31974 −0.199105
\(279\) 16.6233 1.63271i 0.995211 0.0977478i
\(280\) 0.124269 0.00742652
\(281\) −25.7156 + 8.35549i −1.53406 + 0.498447i −0.949730 0.313069i \(-0.898643\pi\)
−0.584331 + 0.811516i \(0.698643\pi\)
\(282\) 4.46497 2.52643i 0.265885 0.150446i
\(283\) −23.6717 + 17.1985i −1.40714 + 1.02235i −0.413407 + 0.910546i \(0.635661\pi\)
−0.993731 + 0.111799i \(0.964339\pi\)
\(284\) −13.1295 + 7.58030i −0.779090 + 0.449808i
\(285\) 5.85591 6.39119i 0.346874 0.378581i
\(286\) 0.210412 + 2.00194i 0.0124419 + 0.118377i
\(287\) 0.400747 0.551581i 0.0236553 0.0325588i
\(288\) −2.57164 1.54488i −0.151535 0.0910330i
\(289\) −11.3246 + 12.5772i −0.666152 + 0.739836i
\(290\) −8.03609 3.57790i −0.471895 0.210101i
\(291\) −3.17476 + 6.96720i −0.186107 + 0.408425i
\(292\) 1.18480 + 5.57406i 0.0693354 + 0.326197i
\(293\) 2.60346 + 5.84747i 0.152096 + 0.341613i 0.973483 0.228758i \(-0.0734664\pi\)
−0.821388 + 0.570370i \(0.806800\pi\)
\(294\) −6.13953 + 10.4239i −0.358064 + 0.607936i
\(295\) −0.375783 + 1.15654i −0.0218789 + 0.0673364i
\(296\) 9.37832 4.17549i 0.545103 0.242696i
\(297\) −3.76119 + 7.88827i −0.218247 + 0.457724i
\(298\) 0.453609 + 0.0964177i 0.0262769 + 0.00558533i
\(299\) 1.70055 3.81950i 0.0983454 0.220887i
\(300\) 1.00587 + 1.41004i 0.0580740 + 0.0814089i
\(301\) −0.536102 0.0563466i −0.0309004 0.00324776i
\(302\) −0.729379 0.529925i −0.0419710 0.0304937i
\(303\) −1.51781 + 13.3270i −0.0871957 + 0.765616i
\(304\) 2.50231 4.33414i 0.143518 0.248580i
\(305\) −1.53063 2.65113i −0.0876435 0.151803i
\(306\) −0.157552 0.810142i −0.00900665 0.0463128i
\(307\) 1.48907 + 1.65377i 0.0849854 + 0.0943859i 0.784138 0.620587i \(-0.213106\pi\)
−0.699152 + 0.714973i \(0.746439\pi\)
\(308\) −0.0645848 0.198771i −0.00368006 0.0113261i
\(309\) 3.84075 17.3282i 0.218493 0.985768i
\(310\) −5.54309 0.523558i −0.314827 0.0297361i
\(311\) 7.43836i 0.421791i 0.977509 + 0.210895i \(0.0676380\pi\)
−0.977509 + 0.210895i \(0.932362\pi\)
\(312\) −2.06352 + 0.198789i −0.116824 + 0.0112542i
\(313\) −8.28003 + 7.45537i −0.468015 + 0.421403i −0.869099 0.494639i \(-0.835300\pi\)
0.401084 + 0.916041i \(0.368634\pi\)
\(314\) −3.17243 4.36647i −0.179030 0.246414i
\(315\) 0.371387 0.0325261i 0.0209253 0.00183264i
\(316\) 8.19400 + 4.73081i 0.460949 + 0.266129i
\(317\) 26.6629 2.80238i 1.49754 0.157397i 0.679973 0.733237i \(-0.261991\pi\)
0.817563 + 0.575839i \(0.195325\pi\)
\(318\) 10.1059 + 11.4215i 0.566708 + 0.640488i
\(319\) −1.54644 + 14.7134i −0.0865839 + 0.823791i
\(320\) 0.743145 + 0.669131i 0.0415431 + 0.0374055i
\(321\) 21.9132 + 16.2134i 1.22308 + 0.904943i
\(322\) −0.0902540 + 0.424612i −0.00502966 + 0.0236627i
\(323\) 1.34672 0.286254i 0.0749335 0.0159276i
\(324\) −8.08986 3.94387i −0.449437 0.219104i
\(325\) 1.13831 + 0.369858i 0.0631419 + 0.0205160i
\(326\) −13.0778 4.24923i −0.724311 0.235343i
\(327\) 6.02187 + 29.5916i 0.333010 + 1.63642i
\(328\) 5.36651 1.14069i 0.296316 0.0629839i
\(329\) −0.0765271 + 0.360032i −0.00421908 + 0.0198492i
\(330\) 1.73263 2.34173i 0.0953780 0.128908i
\(331\) 1.27327 + 1.14646i 0.0699852 + 0.0630150i 0.703381 0.710813i \(-0.251673\pi\)
−0.633396 + 0.773828i \(0.718339\pi\)
\(332\) −0.577088 + 5.49062i −0.0316718 + 0.301337i
\(333\) 26.9348 14.9334i 1.47602 0.818345i
\(334\) −5.04214 + 0.529951i −0.275894 + 0.0289976i
\(335\) −5.67529 3.27663i −0.310074 0.179021i
\(336\) 0.205276 0.0647335i 0.0111987 0.00353150i
\(337\) 8.03190 + 11.0550i 0.437525 + 0.602202i 0.969660 0.244458i \(-0.0786100\pi\)
−0.532135 + 0.846660i \(0.678610\pi\)
\(338\) 8.59630 7.74014i 0.467577 0.421008i
\(339\) 0.433280 + 4.49764i 0.0235325 + 0.244278i
\(340\) 0.275107i 0.0149198i
\(341\) 2.04339 + 9.13839i 0.110656 + 0.494872i
\(342\) 6.34391 13.6078i 0.343039 0.735824i
\(343\) −0.537026 1.65280i −0.0289967 0.0892426i
\(344\) −2.90255 3.22361i −0.156495 0.173805i
\(345\) −5.54847 + 2.41284i −0.298720 + 0.129903i
\(346\) 11.7826 + 20.4080i 0.633434 + 1.09714i
\(347\) 3.02143 5.23328i 0.162199 0.280937i −0.773458 0.633848i \(-0.781475\pi\)
0.935657 + 0.352911i \(0.114808\pi\)
\(348\) −15.1383 1.72409i −0.811497 0.0924211i
\(349\) −1.72120 1.25052i −0.0921337 0.0669391i 0.540765 0.841174i \(-0.318135\pi\)
−0.632898 + 0.774235i \(0.718135\pi\)
\(350\) −0.123589 0.0129897i −0.00660609 0.000694328i
\(351\) −6.11491 + 1.13419i −0.326390 + 0.0605388i
\(352\) 0.684064 1.53643i 0.0364607 0.0818922i
\(353\) 5.89876 + 1.25382i 0.313959 + 0.0667341i 0.362196 0.932102i \(-0.382027\pi\)
−0.0482371 + 0.998836i \(0.515360\pi\)
\(354\) −0.0182848 + 2.10620i −0.000971827 + 0.111943i
\(355\) 13.8499 6.16637i 0.735076 0.327277i
\(356\) 2.74717 8.45491i 0.145600 0.448110i
\(357\) 0.0510221 + 0.0300512i 0.00270037 + 0.00159048i
\(358\) −0.0261718 0.0587828i −0.00138322 0.00310677i
\(359\) −1.19671 5.63006i −0.0631598 0.297143i 0.935219 0.354071i \(-0.115203\pi\)
−0.998378 + 0.0569276i \(0.981870\pi\)
\(360\) 2.39607 + 1.80523i 0.126284 + 0.0951438i
\(361\) 5.52357 + 2.45925i 0.290714 + 0.129434i
\(362\) −10.6264 + 11.8018i −0.558510 + 0.620288i
\(363\) 13.4221 + 4.49031i 0.704480 + 0.235680i
\(364\) 0.0874251 0.120330i 0.00458232 0.00630702i
\(365\) −0.595665 5.66737i −0.0311785 0.296644i
\(366\) −3.90939 3.58197i −0.204347 0.187233i
\(367\) 21.3598 12.3321i 1.11497 0.643730i 0.174860 0.984593i \(-0.444053\pi\)
0.940113 + 0.340863i \(0.110719\pi\)
\(368\) −2.82606 + 2.05325i −0.147318 + 0.107033i
\(369\) 15.7396 4.81363i 0.819369 0.250588i
\(370\) −9.76340 + 3.17232i −0.507575 + 0.164921i
\(371\) −1.09418 −0.0568071
\(372\) −9.42916 + 2.02262i −0.488879 + 0.104868i
\(373\) 16.1225 0.834790 0.417395 0.908725i \(-0.362943\pi\)
0.417395 + 0.908725i \(0.362943\pi\)
\(374\) 0.440039 0.142977i 0.0227539 0.00739318i
\(375\) −0.852971 1.50746i −0.0440472 0.0778450i
\(376\) −2.39624 + 1.74097i −0.123577 + 0.0897836i
\(377\) −9.11797 + 5.26426i −0.469599 + 0.271123i
\(378\) 0.596536 0.247189i 0.0306825 0.0127140i
\(379\) −2.74840 26.1492i −0.141176 1.34320i −0.804093 0.594504i \(-0.797348\pi\)
0.662917 0.748693i \(-0.269318\pi\)
\(380\) −2.94165 + 4.04883i −0.150903 + 0.207701i
\(381\) −2.96423 + 8.86047i −0.151862 + 0.453936i
\(382\) −15.8873 + 17.6446i −0.812865 + 0.902778i
\(383\) −3.47460 1.54699i −0.177544 0.0790475i 0.316040 0.948746i \(-0.397647\pi\)
−0.493584 + 0.869698i \(0.664313\pi\)
\(384\) 1.57613 + 0.718198i 0.0804316 + 0.0366504i
\(385\) 0.0434537 + 0.204433i 0.00221460 + 0.0104189i
\(386\) −4.81049 10.8045i −0.244847 0.549936i
\(387\) −9.51818 8.87423i −0.483837 0.451103i
\(388\) 1.36599 4.20409i 0.0693478 0.213430i
\(389\) −17.3903 + 7.74267i −0.881725 + 0.392569i −0.797102 0.603844i \(-0.793635\pi\)
−0.0846221 + 0.996413i \(0.526968\pi\)
\(390\) 2.07299 + 0.0179965i 0.104970 + 0.000911291i
\(391\) −0.940003 0.199804i −0.0475380 0.0101045i
\(392\) 2.84088 6.38071i 0.143486 0.322275i
\(393\) −2.32470 + 1.65835i −0.117265 + 0.0836527i
\(394\) −6.14319 0.645675i −0.309489 0.0325286i
\(395\) −7.65461 5.56140i −0.385145 0.279824i
\(396\) 1.64222 4.77077i 0.0825248 0.239740i
\(397\) 9.29443 16.0984i 0.466474 0.807957i −0.532793 0.846246i \(-0.678857\pi\)
0.999267 + 0.0382892i \(0.0121908\pi\)
\(398\) 9.43089 + 16.3348i 0.472728 + 0.818789i
\(399\) 0.429578 + 0.987838i 0.0215058 + 0.0494538i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) 3.91850 + 12.0599i 0.195681 + 0.602243i 0.999968 + 0.00800254i \(0.00254732\pi\)
−0.804287 + 0.594241i \(0.797453\pi\)
\(402\) −11.0816 2.45621i −0.552702 0.122505i
\(403\) −4.40660 + 4.99906i −0.219508 + 0.249021i
\(404\) 7.74408i 0.385283i
\(405\) 7.63330 + 4.76789i 0.379302 + 0.236918i
\(406\) 0.812367 0.731458i 0.0403171 0.0363017i
\(407\) 10.1484 + 13.9681i 0.503037 + 0.692371i
\(408\) 0.143307 + 0.454438i 0.00709473 + 0.0224981i
\(409\) 22.6265 + 13.0634i 1.11881 + 0.645945i 0.941097 0.338137i \(-0.109797\pi\)
0.177713 + 0.984082i \(0.443130\pi\)
\(410\) −5.45634 + 0.573485i −0.269470 + 0.0283224i
\(411\) 17.8434 15.7879i 0.880149 0.778762i
\(412\) −1.07113 + 10.1911i −0.0527708 + 0.502081i
\(413\) −0.112303 0.101118i −0.00552608 0.00497570i
\(414\) −7.90843 + 6.87596i −0.388678 + 0.337935i
\(415\) 1.14785 5.40022i 0.0563459 0.265087i
\(416\) 1.17073 0.248847i 0.0573999 0.0122007i
\(417\) 5.63448 1.14661i 0.275922 0.0561500i
\(418\) 8.00501 + 2.60098i 0.391538 + 0.127218i
\(419\) −13.6334 4.42977i −0.666037 0.216408i −0.0435648 0.999051i \(-0.513872\pi\)
−0.622472 + 0.782642i \(0.713872\pi\)
\(420\) −0.210918 + 0.0429217i −0.0102917 + 0.00209437i
\(421\) −9.58059 + 2.03642i −0.466929 + 0.0992489i −0.435367 0.900253i \(-0.643382\pi\)
−0.0315620 + 0.999502i \(0.510048\pi\)
\(422\) 4.42992 20.8412i 0.215645 1.01453i
\(423\) −6.70562 + 5.83018i −0.326038 + 0.283473i
\(424\) −6.54333 5.89164i −0.317772 0.286123i
\(425\) 0.0287565 0.273600i 0.00139489 0.0132715i
\(426\) 19.6660 17.4006i 0.952820 0.843061i
\(427\) 0.378337 0.0397648i 0.0183090 0.00192435i
\(428\) −13.6296 7.86905i −0.658811 0.380365i
\(429\) −1.04858 3.32514i −0.0506259 0.160539i
\(430\) 2.54969 + 3.50935i 0.122957 + 0.169236i
\(431\) 8.09919 7.29255i 0.390124 0.351270i −0.450607 0.892723i \(-0.648792\pi\)
0.840731 + 0.541453i \(0.182126\pi\)
\(432\) 4.89835 + 1.73384i 0.235672 + 0.0834196i
\(433\) 3.03249i 0.145732i 0.997342 + 0.0728661i \(0.0232146\pi\)
−0.997342 + 0.0728661i \(0.976785\pi\)
\(434\) 0.339613 0.602821i 0.0163019 0.0289363i
\(435\) 14.8751 + 3.29703i 0.713208 + 0.158080i
\(436\) −5.38767 16.5815i −0.258023 0.794112i
\(437\) −11.6979 12.9918i −0.559584 0.621481i
\(438\) −3.93616 9.05143i −0.188077 0.432494i
\(439\) −9.00073 15.5897i −0.429581 0.744057i 0.567255 0.823542i \(-0.308006\pi\)
−0.996836 + 0.0794858i \(0.974672\pi\)
\(440\) −0.840918 + 1.45651i −0.0400892 + 0.0694365i
\(441\) 6.82005 19.8127i 0.324764 0.943462i
\(442\) 0.266386 + 0.193541i 0.0126707 + 0.00920580i
\(443\) 15.7085 + 1.65103i 0.746332 + 0.0784427i 0.470057 0.882636i \(-0.344233\pi\)
0.276275 + 0.961079i \(0.410900\pi\)
\(444\) −14.4753 + 10.3261i −0.686967 + 0.490056i
\(445\) −3.61590 + 8.12144i −0.171410 + 0.384993i
\(446\) −13.3544 2.83857i −0.632350 0.134410i
\(447\) −0.803197 0.00697291i −0.0379899 0.000329807i
\(448\) −0.113526 + 0.0505449i −0.00536359 + 0.00238802i
\(449\) 1.72422 5.30661i 0.0813710 0.250434i −0.902092 0.431544i \(-0.857969\pi\)
0.983463 + 0.181110i \(0.0579689\pi\)
\(450\) −2.19425 2.04580i −0.103438 0.0964397i
\(451\) 3.75305 + 8.42948i 0.176724 + 0.396929i
\(452\) −0.542387 2.55173i −0.0255117 0.120023i
\(453\) 1.42098 + 0.647500i 0.0667635 + 0.0304222i
\(454\) −8.87235 3.95023i −0.416400 0.185393i
\(455\) −0.0995241 + 0.110533i −0.00466576 + 0.00518185i
\(456\) −2.75011 + 8.22045i −0.128786 + 0.384958i
\(457\) 2.77355 3.81747i 0.129741 0.178574i −0.739204 0.673481i \(-0.764798\pi\)
0.868946 + 0.494908i \(0.164798\pi\)
\(458\) −1.26105 11.9981i −0.0589252 0.560636i
\(459\) 0.547225 + 1.32061i 0.0255423 + 0.0616407i
\(460\) 3.02520 1.74660i 0.141051 0.0814357i
\(461\) 13.5073 9.81364i 0.629098 0.457067i −0.226989 0.973897i \(-0.572888\pi\)
0.856088 + 0.516831i \(0.172888\pi\)
\(462\) 0.178272 + 0.315060i 0.00829394 + 0.0146579i
\(463\) −27.7025 + 9.00108i −1.28744 + 0.418316i −0.871196 0.490935i \(-0.836655\pi\)
−0.416248 + 0.909251i \(0.636655\pi\)
\(464\) 8.79659 0.408372
\(465\) 9.58892 1.02593i 0.444676 0.0475762i
\(466\) 22.0400 1.02098
\(467\) −1.25164 + 0.406683i −0.0579191 + 0.0188191i −0.337833 0.941206i \(-0.609694\pi\)
0.279914 + 0.960025i \(0.409694\pi\)
\(468\) 3.43367 1.05012i 0.158721 0.0485418i
\(469\) 0.658839 0.478674i 0.0304223 0.0221031i
\(470\) 2.56509 1.48096i 0.118319 0.0683114i
\(471\) 6.89259 + 6.31532i 0.317594 + 0.290995i
\(472\) −0.127113 1.20940i −0.00585084 0.0556670i
\(473\) 4.28816 5.90214i 0.197170 0.271381i
\(474\) −15.5414 5.19928i −0.713839 0.238811i
\(475\) 3.34875 3.71916i 0.153651 0.170647i
\(476\) −0.0312317 0.0139052i −0.00143150 0.000637346i
\(477\) −21.0972 15.8949i −0.965975 0.727777i
\(478\) −0.861038 4.05086i −0.0393829 0.185282i
\(479\) 3.73826 + 8.39627i 0.170805 + 0.383635i 0.978583 0.205852i \(-0.0659965\pi\)
−0.807778 + 0.589487i \(0.799330\pi\)
\(480\) −1.49243 0.879014i −0.0681196 0.0401213i
\(481\) −3.79691 + 11.6857i −0.173124 + 0.532821i
\(482\) 20.6281 9.18423i 0.939585 0.418330i
\(483\) 0.00652715 0.751851i 0.000296996 0.0342104i
\(484\) −7.99286 1.69894i −0.363312 0.0772244i
\(485\) −1.79796 + 4.03828i −0.0816410 + 0.183369i
\(486\) 15.0928 + 3.89961i 0.684624 + 0.176890i
\(487\) −20.6178 2.16702i −0.934283 0.0981971i −0.374862 0.927081i \(-0.622310\pi\)
−0.559421 + 0.828884i \(0.688977\pi\)
\(488\) 2.47661 + 1.79936i 0.112111 + 0.0814533i
\(489\) 23.6641 + 2.69509i 1.07013 + 0.121876i
\(490\) −3.49228 + 6.04880i −0.157765 + 0.273257i
\(491\) −7.89383 13.6725i −0.356244 0.617032i 0.631086 0.775713i \(-0.282609\pi\)
−0.987330 + 0.158680i \(0.949276\pi\)
\(492\) −8.71439 + 3.78960i −0.392875 + 0.170848i
\(493\) 1.61930 + 1.79841i 0.0729295 + 0.0809964i
\(494\) 1.85100 + 5.69680i 0.0832806 + 0.256311i
\(495\) −2.13191 + 4.57298i −0.0958221 + 0.205540i
\(496\) 5.27682 1.77629i 0.236936 0.0797576i
\(497\) 1.88400i 0.0845088i
\(498\) −0.916950 9.51836i −0.0410895 0.426528i
\(499\) −11.2739 + 10.1511i −0.504691 + 0.454425i −0.881718 0.471777i \(-0.843613\pi\)
0.377028 + 0.926202i \(0.376946\pi\)
\(500\) 0.587785 + 0.809017i 0.0262866 + 0.0361803i
\(501\) 8.37481 2.64098i 0.374159 0.117990i
\(502\) 6.23683 + 3.60084i 0.278363 + 0.160713i
\(503\) −24.0689 + 2.52974i −1.07318 + 0.112796i −0.624598 0.780947i \(-0.714737\pi\)
−0.448581 + 0.893742i \(0.648070\pi\)
\(504\) −0.326049 + 0.180771i −0.0145234 + 0.00805216i
\(505\) −0.809477 + 7.70166i −0.0360213 + 0.342719i
\(506\) −4.36597 3.93113i −0.194091 0.174760i
\(507\) −11.9168 + 16.1062i −0.529244 + 0.715300i
\(508\) 1.12153 5.27640i 0.0497600 0.234102i
\(509\) 39.4882 8.39348i 1.75029 0.372035i 0.782273 0.622936i \(-0.214060\pi\)
0.968013 + 0.250901i \(0.0807270\pi\)
\(510\) −0.0950198 0.466929i −0.00420755 0.0206759i
\(511\) 0.673501 + 0.218834i 0.0297939 + 0.00968063i
\(512\) −0.951057 0.309017i −0.0420312 0.0136568i
\(513\) −6.06726 + 25.2871i −0.267876 + 1.11645i
\(514\) −5.69235 + 1.20995i −0.251079 + 0.0533684i
\(515\) 2.13052 10.0233i 0.0938821 0.441681i
\(516\) 6.03980 + 4.46879i 0.265887 + 0.196728i
\(517\) −3.70194 3.33324i −0.162811 0.146596i
\(518\) 0.133350 1.26874i 0.00585907 0.0557453i
\(519\) −27.0469 30.5681i −1.18723 1.34179i
\(520\) −1.19033 + 0.125109i −0.0521994 + 0.00548638i
\(521\) −34.0699 19.6703i −1.49263 0.861771i −0.492666 0.870218i \(-0.663978\pi\)
−0.999964 + 0.00844794i \(0.997311\pi\)
\(522\) 26.2892 2.30241i 1.15064 0.100774i
\(523\) 6.17550 + 8.49984i 0.270036 + 0.371672i 0.922402 0.386232i \(-0.126224\pi\)
−0.652366 + 0.757904i \(0.726224\pi\)
\(524\) 1.22520 1.10318i 0.0535232 0.0481925i
\(525\) 0.214249 0.0206397i 0.00935059 0.000900788i
\(526\) 5.48771i 0.239276i
\(527\) 1.33452 + 0.751832i 0.0581326 + 0.0327503i
\(528\) −0.630365 + 2.84400i −0.0274331 + 0.123769i
\(529\) −3.33663 10.2691i −0.145071 0.446482i
\(530\) 5.89164 + 6.54333i 0.255917 + 0.284224i
\(531\) −0.696430 3.58108i −0.0302225 0.155406i
\(532\) −0.310961 0.538600i −0.0134819 0.0233513i
\(533\) −3.28330 + 5.68684i −0.142215 + 0.246324i
\(534\) −1.74240 + 15.2991i −0.0754012 + 0.662055i
\(535\) 12.7324 + 9.25062i 0.550469 + 0.399939i
\(536\) 6.51736 + 0.685002i 0.281507 + 0.0295876i
\(537\) 0.0647236 + 0.0907304i 0.00279303 + 0.00391531i
\(538\) 7.36402 16.5399i 0.317486 0.713084i
\(539\) 11.4902 + 2.44231i 0.494917 + 0.105198i
\(540\) −4.69028 2.23636i −0.201837 0.0962377i
\(541\) 6.23714 2.77695i 0.268155 0.119391i −0.268254 0.963348i \(-0.586447\pi\)
0.536410 + 0.843958i \(0.319780\pi\)
\(542\) 2.34723 7.22404i 0.100822 0.310299i
\(543\) 13.9595 23.7010i 0.599060 1.01711i
\(544\) −0.111896 0.251322i −0.00479750 0.0107754i
\(545\) 3.62491 + 17.0539i 0.155274 + 0.730508i
\(546\) −0.106822 + 0.234428i −0.00457157 + 0.0100326i
\(547\) 0.792438 + 0.352816i 0.0338822 + 0.0150853i 0.423608 0.905846i \(-0.360763\pi\)
−0.389726 + 0.920931i \(0.627430\pi\)
\(548\) −9.20426 + 10.2224i −0.393187 + 0.436678i
\(549\) 7.87246 + 4.72928i 0.335988 + 0.201841i
\(550\) 0.988558 1.36063i 0.0421523 0.0580176i
\(551\) 4.60173 + 43.7825i 0.196040 + 1.86520i
\(552\) 4.08739 4.46101i 0.173971 0.189873i
\(553\) 1.01826 0.587895i 0.0433010 0.0249998i
\(554\) −11.5509 + 8.39220i −0.490750 + 0.356550i
\(555\) 15.4754 8.75647i 0.656893 0.371691i
\(556\) −3.15726 + 1.02586i −0.133898 + 0.0435060i
\(557\) 26.2553 1.11247 0.556236 0.831025i \(-0.312245\pi\)
0.556236 + 0.831025i \(0.312245\pi\)
\(558\) 15.3052 6.68968i 0.647919 0.283197i
\(559\) 5.19184 0.219592
\(560\) 0.118187 0.0384014i 0.00499432 0.00162275i
\(561\) −0.697479 + 0.394656i −0.0294476 + 0.0166624i
\(562\) −21.8750 + 15.8931i −0.922739 + 0.670409i
\(563\) 22.6377 13.0699i 0.954065 0.550829i 0.0597234 0.998215i \(-0.480978\pi\)
0.894341 + 0.447386i \(0.147645\pi\)
\(564\) 3.46573 3.78252i 0.145934 0.159273i
\(565\) 0.272687 + 2.59445i 0.0114720 + 0.109149i
\(566\) −17.1985 + 23.6717i −0.722907 + 0.994997i
\(567\) −0.927102 + 0.625583i −0.0389346 + 0.0262720i
\(568\) −10.1444 + 11.2665i −0.425650 + 0.472732i
\(569\) −38.3574 17.0778i −1.60802 0.715938i −0.610899 0.791709i \(-0.709192\pi\)
−0.997125 + 0.0757705i \(0.975858\pi\)
\(570\) 3.59431 7.88795i 0.150549 0.330390i
\(571\) 4.52829 + 21.3039i 0.189503 + 0.891541i 0.965419 + 0.260704i \(0.0839548\pi\)
−0.775916 + 0.630836i \(0.782712\pi\)
\(572\) 0.818747 + 1.83894i 0.0342335 + 0.0768898i
\(573\) 20.8706 35.4350i 0.871883 1.48032i
\(574\) 0.210685 0.648422i 0.00879383 0.0270646i
\(575\) −3.19120 + 1.42081i −0.133082 + 0.0592520i
\(576\) −2.92317 0.674588i −0.121799 0.0281078i
\(577\) −39.4837 8.39252i −1.64373 0.349385i −0.709127 0.705081i \(-0.750911\pi\)
−0.934602 + 0.355696i \(0.884244\pi\)
\(578\) −6.88374 + 15.4611i −0.286326 + 0.643098i
\(579\) 11.8965 + 16.6766i 0.494400 + 0.693057i
\(580\) −8.74840 0.919494i −0.363258 0.0381799i
\(581\) 0.555046 + 0.403265i 0.0230272 + 0.0167302i
\(582\) −0.866388 + 7.60726i −0.0359129 + 0.315331i
\(583\) 7.40421 12.8245i 0.306651 0.531135i
\(584\) 2.84930 + 4.93512i 0.117905 + 0.204217i
\(585\) −3.52463 + 0.685450i −0.145725 + 0.0283399i
\(586\) 4.28300 + 4.75676i 0.176929 + 0.196500i
\(587\) 5.14243 + 15.8268i 0.212251 + 0.653240i 0.999337 + 0.0363979i \(0.0115884\pi\)
−0.787087 + 0.616842i \(0.788412\pi\)
\(588\) −2.61787 + 11.8110i −0.107959 + 0.487076i
\(589\) 11.6014 + 25.3346i 0.478027 + 1.04390i
\(590\) 1.21606i 0.0500643i
\(591\) 10.6496 1.02593i 0.438067 0.0422011i
\(592\) 7.62901 6.86919i 0.313550 0.282322i
\(593\) −6.76870 9.31632i −0.277957 0.382575i 0.647099 0.762406i \(-0.275982\pi\)
−0.925056 + 0.379831i \(0.875982\pi\)
\(594\) −1.13950 + 8.66446i −0.0467541 + 0.355507i
\(595\) 0.0296071 + 0.0170937i 0.00121377 + 0.000700772i
\(596\) 0.461203 0.0484744i 0.0188916 0.00198559i
\(597\) −21.6486 24.4671i −0.886019 1.00137i
\(598\) 0.437030 4.15806i 0.0178715 0.170036i
\(599\) 23.5745 + 21.2266i 0.963229 + 0.867295i 0.991208 0.132313i \(-0.0422404\pi\)
−0.0279788 + 0.999609i \(0.508907\pi\)
\(600\) 1.39237 + 1.03020i 0.0568432 + 0.0420577i
\(601\) 1.28262 6.03427i 0.0523193 0.246143i −0.944215 0.329331i \(-0.893177\pi\)
0.996534 + 0.0831880i \(0.0265102\pi\)
\(602\) −0.527275 + 0.112076i −0.0214901 + 0.00456787i
\(603\) 19.6568 + 0.341325i 0.800487 + 0.0138998i
\(604\) −0.857436 0.278598i −0.0348886 0.0113360i
\(605\) 7.77149 + 2.52511i 0.315956 + 0.102660i
\(606\) 2.67475 + 13.1438i 0.108654 + 0.533928i
\(607\) 2.00971 0.427176i 0.0815714 0.0173385i −0.166945 0.985966i \(-0.553390\pi\)
0.248517 + 0.968628i \(0.420057\pi\)
\(608\) 1.04052 4.89527i 0.0421987 0.198529i
\(609\) −1.12616 + 1.52206i −0.0456343 + 0.0616771i
\(610\) −2.27496 2.04838i −0.0921103 0.0829365i
\(611\) 0.370561 3.52565i 0.0149913 0.142633i
\(612\) −0.400189 0.721805i −0.0161767 0.0291772i
\(613\) −6.91022 + 0.726293i −0.279101 + 0.0293347i −0.243045 0.970015i \(-0.578146\pi\)
−0.0360562 + 0.999350i \(0.511480\pi\)
\(614\) 1.92723 + 1.11269i 0.0777766 + 0.0449044i
\(615\) 9.06277 2.85793i 0.365446 0.115243i
\(616\) −0.122847 0.169085i −0.00494967 0.00681263i
\(617\) 19.4144 17.4808i 0.781594 0.703750i −0.178343 0.983968i \(-0.557074\pi\)
0.959936 + 0.280218i \(0.0904069\pi\)
\(618\) −1.70195 17.6670i −0.0684623 0.710670i
\(619\) 1.16221i 0.0467132i −0.999727 0.0233566i \(-0.992565\pi\)
0.999727 0.0233566i \(-0.00743531\pi\)
\(620\) −5.43358 + 1.21498i −0.218218 + 0.0487946i
\(621\) 11.0478 14.4018i 0.443332 0.577925i
\(622\) 2.29858 + 7.07430i 0.0921647 + 0.283654i
\(623\) −0.739227 0.820995i −0.0296165 0.0328925i
\(624\) −1.90109 + 0.826721i −0.0761045 + 0.0330953i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −5.57094 + 9.64915i −0.222660 + 0.385658i
\(627\) −14.4850 1.64969i −0.578474 0.0658821i
\(628\) −4.36647 3.17243i −0.174241 0.126594i
\(629\) 2.80873 + 0.295210i 0.111991 + 0.0117708i
\(630\) 0.343158 0.145699i 0.0136718 0.00580478i
\(631\) 8.12469 18.2484i 0.323439 0.726455i −0.676511 0.736432i \(-0.736509\pi\)
0.999950 + 0.00997672i \(0.00317574\pi\)
\(632\) 9.25486 + 1.96718i 0.368139 + 0.0782503i
\(633\) −0.320371 + 36.9030i −0.0127336 + 1.46676i
\(634\) 24.4919 10.9045i 0.972698 0.433073i
\(635\) −1.66692 + 5.13026i −0.0661498 + 0.203588i
\(636\) 13.1407 + 7.73965i 0.521062 + 0.306897i
\(637\) 3.40021 + 7.63699i 0.134721 + 0.302588i
\(638\) 3.07593 + 14.4711i 0.121777 + 0.572917i
\(639\) −27.3683 + 36.3258i −1.08267 + 1.43703i
\(640\) 0.913545 + 0.406737i 0.0361111 + 0.0160777i
\(641\) −2.57987 + 2.86524i −0.101899 + 0.113170i −0.791937 0.610603i \(-0.790927\pi\)
0.690038 + 0.723773i \(0.257594\pi\)
\(642\) 25.8509 + 8.64829i 1.02025 + 0.341321i
\(643\) −10.5228 + 14.4834i −0.414978 + 0.571168i −0.964424 0.264362i \(-0.914839\pi\)
0.549446 + 0.835529i \(0.314839\pi\)
\(644\) 0.0453756 + 0.431720i 0.00178805 + 0.0170121i
\(645\) −5.53960 5.07564i −0.218121 0.199853i
\(646\) 1.19235 0.688403i 0.0469124 0.0270849i
\(647\) 22.4104 16.2821i 0.881044 0.640116i −0.0524834 0.998622i \(-0.516714\pi\)
0.933527 + 0.358506i \(0.116714\pi\)
\(648\) −8.91264 1.25094i −0.350122 0.0491415i
\(649\) 1.94511 0.632005i 0.0763523 0.0248084i
\(650\) 1.19689 0.0469458
\(651\) −0.368202 + 1.14045i −0.0144310 + 0.0446976i
\(652\) −13.7508 −0.538523
\(653\) −36.5076 + 11.8621i −1.42865 + 0.464198i −0.918341 0.395790i \(-0.870471\pi\)
−0.510314 + 0.859988i \(0.670471\pi\)
\(654\) 14.8714 + 26.2824i 0.581519 + 1.02772i
\(655\) −1.33380 + 0.969064i −0.0521160 + 0.0378645i
\(656\) 4.75136 2.74320i 0.185509 0.107104i
\(657\) 9.80700 + 14.0031i 0.382608 + 0.546315i
\(658\) 0.0384743 + 0.366059i 0.00149988 + 0.0142705i
\(659\) 21.2648 29.2685i 0.828360 1.14014i −0.159866 0.987139i \(-0.551106\pi\)
0.988226 0.153001i \(-0.0488938\pi\)
\(660\) 0.924191 2.76253i 0.0359741 0.107531i
\(661\) −33.7537 + 37.4873i −1.31287 + 1.45809i −0.512355 + 0.858774i \(0.671227\pi\)
−0.800514 + 0.599315i \(0.795440\pi\)
\(662\) 1.56523 + 0.696884i 0.0608342 + 0.0270852i
\(663\) −0.518975 0.236482i −0.0201553 0.00918421i
\(664\) 1.14785 + 5.40022i 0.0445453 + 0.209569i
\(665\) 0.252959 + 0.568154i 0.00980931 + 0.0220321i
\(666\) 21.0018 22.5258i 0.813804 0.872857i
\(667\) 9.49556 29.2243i 0.367669 1.13157i
\(668\) −4.63160 + 2.06212i −0.179202 + 0.0797859i
\(669\) 23.6464 + 0.205285i 0.914223 + 0.00793677i
\(670\) −6.41005 1.36250i −0.247642 0.0526379i
\(671\) −2.09410 + 4.70342i −0.0808417 + 0.181573i
\(672\) 0.175225 0.124999i 0.00675946 0.00482194i
\(673\) −50.7707 5.33621i −1.95707 0.205696i −0.959864 0.280465i \(-0.909511\pi\)
−0.997201 + 0.0747694i \(0.976178\pi\)
\(674\) 11.0550 + 8.03190i 0.425821 + 0.309377i
\(675\) 4.43082 + 2.71438i 0.170542 + 0.104476i
\(676\) 5.78373 10.0177i 0.222451 0.385297i
\(677\) 18.6373 + 32.2808i 0.716291 + 1.24065i 0.962460 + 0.271425i \(0.0874949\pi\)
−0.246169 + 0.969227i \(0.579172\pi\)
\(678\) 1.80192 + 4.14362i 0.0692024 + 0.159135i
\(679\) −0.367571 0.408229i −0.0141061 0.0156664i
\(680\) 0.0850126 + 0.261642i 0.00326009 + 0.0100335i
\(681\) 16.4231 + 3.64013i 0.629335 + 0.139490i
\(682\) 4.76730 + 8.05969i 0.182549 + 0.308621i
\(683\) 32.4671i 1.24232i −0.783685 0.621159i \(-0.786662\pi\)
0.783685 0.621159i \(-0.213338\pi\)
\(684\) 1.82838 14.9021i 0.0699098 0.569798i
\(685\) 10.2224 9.20426i 0.390577 0.351677i
\(686\) −1.02148 1.40595i −0.0390004 0.0536795i
\(687\) 6.28441 + 19.9284i 0.239765 + 0.760317i
\(688\) −3.75664 2.16890i −0.143220 0.0826884i
\(689\) 10.4808 1.10157i 0.399285 0.0419666i
\(690\) −4.53130 + 4.00932i −0.172504 + 0.152632i
\(691\) −1.28238 + 12.2010i −0.0487841 + 0.464149i 0.942673 + 0.333717i \(0.108303\pi\)
−0.991457 + 0.130432i \(0.958364\pi\)
\(692\) 17.5123 + 15.7681i 0.665718 + 0.599415i
\(693\) −0.411393 0.473167i −0.0156275 0.0179741i
\(694\) 1.25638 5.91082i 0.0476916 0.224372i
\(695\) 3.24720 0.690213i 0.123173 0.0261813i
\(696\) −14.9301 + 3.03828i −0.565925 + 0.115166i
\(697\) 1.43547 + 0.466413i 0.0543724 + 0.0176667i
\(698\) −2.02339 0.657440i −0.0765865 0.0248845i
\(699\) −37.4077 + 7.61245i −1.41489 + 0.287929i
\(700\) −0.121554 + 0.0258371i −0.00459430 + 0.000976549i
\(701\) −10.5165 + 49.4760i −0.397201 + 1.86868i 0.0908443 + 0.995865i \(0.471043\pi\)
−0.488045 + 0.872818i \(0.662290\pi\)
\(702\) −5.46514 + 2.96829i −0.206268 + 0.112031i
\(703\) 38.1804 + 34.3777i 1.44000 + 1.29658i
\(704\) 0.175800 1.67262i 0.00662570 0.0630393i
\(705\) −3.84213 + 3.39954i −0.144703 + 0.128034i
\(706\) 5.99751 0.630363i 0.225719 0.0237240i
\(707\) −0.833422 0.481176i −0.0313441 0.0180965i
\(708\) 0.633460 + 2.00876i 0.0238069 + 0.0754939i
\(709\) 12.7615 + 17.5646i 0.479267 + 0.659654i 0.978364 0.206892i \(-0.0663349\pi\)
−0.499097 + 0.866546i \(0.666335\pi\)
\(710\) 11.2665 10.1444i 0.422825 0.380713i
\(711\) 28.1736 + 3.45668i 1.05659 + 0.129636i
\(712\) 8.89002i 0.333168i
\(713\) −0.205124 19.4482i −0.00768196 0.728342i
\(714\) 0.0578112 + 0.0128137i 0.00216353 + 0.000479540i
\(715\) −0.622041 1.91444i −0.0232630 0.0715962i
\(716\) −0.0430558 0.0478183i −0.00160907 0.00178705i
\(717\) 2.86055 + 6.57799i 0.106829 + 0.245659i
\(718\) −2.87792 4.98471i −0.107403 0.186028i
\(719\) 12.0315 20.8391i 0.448698 0.777168i −0.549603 0.835426i \(-0.685221\pi\)
0.998302 + 0.0582576i \(0.0185545\pi\)
\(720\) 2.83664 + 0.976447i 0.105715 + 0.0363900i
\(721\) 1.03022 + 0.748498i 0.0383674 + 0.0278755i
\(722\) 6.01318 + 0.632011i 0.223788 + 0.0235210i
\(723\) −31.8392 + 22.7129i −1.18411 + 0.844700i
\(724\) −6.45933 + 14.5079i −0.240059 + 0.539182i
\(725\) 8.60437 + 1.82891i 0.319558 + 0.0679242i
\(726\) 14.1528 + 0.122867i 0.525260 + 0.00456001i
\(727\) −18.1407 + 8.07676i −0.672801 + 0.299551i −0.714557 0.699577i \(-0.753372\pi\)
0.0417554 + 0.999128i \(0.486705\pi\)
\(728\) 0.0459621 0.141457i 0.00170347 0.00524273i
\(729\) −26.9634 1.40572i −0.998644 0.0520638i
\(730\) −2.31783 5.20592i −0.0857866 0.192680i
\(731\) −0.248113 1.16728i −0.00917677 0.0431733i
\(732\) −4.82494 2.19859i −0.178335 0.0812622i
\(733\) −29.3208 13.0545i −1.08299 0.482178i −0.213912 0.976853i \(-0.568620\pi\)
−0.869078 + 0.494675i \(0.835287\pi\)
\(734\) 16.5036 18.3291i 0.609157 0.676538i
\(735\) 3.83811 11.4726i 0.141571 0.423174i
\(736\) −2.05325 + 2.82606i −0.0756839 + 0.104170i
\(737\) 1.15206 + 10.9611i 0.0424367 + 0.403758i
\(738\) 13.4817 9.44183i 0.496269 0.347559i
\(739\) −27.1759 + 15.6900i −0.999682 + 0.577167i −0.908154 0.418636i \(-0.862508\pi\)
−0.0915279 + 0.995803i \(0.529175\pi\)
\(740\) −8.30524 + 6.03411i −0.305307 + 0.221818i
\(741\) −5.10927 9.02965i −0.187694 0.331713i
\(742\) −1.04063 + 0.338121i −0.0382027 + 0.0124128i
\(743\) −6.01158 −0.220543 −0.110272 0.993901i \(-0.535172\pi\)
−0.110272 + 0.993901i \(0.535172\pi\)
\(744\) −8.34264 + 4.83740i −0.305856 + 0.177348i
\(745\) −0.463743 −0.0169902
\(746\) 15.3334 4.98212i 0.561395 0.182408i
\(747\) 4.84388 + 15.8385i 0.177228 + 0.579499i
\(748\) 0.374319 0.271959i 0.0136865 0.00994380i
\(749\) −1.69374 + 0.977882i −0.0618879 + 0.0357310i
\(750\) −1.27705 1.17010i −0.0466315 0.0427260i
\(751\) −3.89234 37.0332i −0.142034 1.35136i −0.800764 0.598980i \(-0.795573\pi\)
0.658731 0.752379i \(-0.271094\pi\)
\(752\) −1.74097 + 2.39624i −0.0634866 + 0.0873818i
\(753\) −11.8292 3.95741i −0.431082 0.144216i
\(754\) −7.04496 + 7.82422i −0.256562 + 0.284941i
\(755\) 0.823618 + 0.366698i 0.0299745 + 0.0133455i
\(756\) 0.490954 0.419430i 0.0178558 0.0152545i
\(757\) −10.6619 50.1601i −0.387512 1.82310i −0.548509 0.836144i \(-0.684805\pi\)
0.160998 0.986955i \(-0.448529\pi\)
\(758\) −10.6944 24.0201i −0.388440 0.872450i
\(759\) 8.76798 + 5.16420i 0.318258 + 0.187449i
\(760\) −1.54652 + 4.75968i −0.0560980 + 0.172652i
\(761\) 6.71094 2.98790i 0.243271 0.108311i −0.281479 0.959567i \(-0.590825\pi\)
0.524751 + 0.851256i \(0.324158\pi\)
\(762\) −0.0811090 + 9.34281i −0.00293827 + 0.338454i
\(763\) −2.11928 0.450466i −0.0767229 0.0163080i
\(764\) −9.65723 + 21.6905i −0.349386 + 0.784735i
\(765\) 0.322547 + 0.759682i 0.0116617 + 0.0274664i
\(766\) −3.78259 0.397566i −0.136670 0.0143646i
\(767\) 1.17751 + 0.855512i 0.0425175 + 0.0308908i
\(768\) 1.72093 + 0.195996i 0.0620986 + 0.00707238i
\(769\) 2.58049 4.46955i 0.0930550 0.161176i −0.815740 0.578418i \(-0.803670\pi\)
0.908795 + 0.417242i \(0.137003\pi\)
\(770\) 0.104500 + 0.181000i 0.00376593 + 0.00652278i
\(771\) 9.24351 4.01969i 0.332897 0.144766i
\(772\) −7.91383 8.78919i −0.284825 0.316330i
\(773\) −12.2154 37.5953i −0.439359