Properties

Label 731.2.p.a.16.9
Level 731
Weight 2
Character 731.16
Analytic conductor 5.837
Analytic rank 0
Dimension 384
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.p (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(384\)
Relative dimension: \(64\) over \(\Q(\zeta_{14})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 16.9
Character \(\chi\) = 731.16
Dual form 731.2.p.a.594.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.501288 - 2.19629i) q^{2} +(-1.02764 - 0.234553i) q^{3} +(-2.77045 + 1.33418i) q^{4} +(1.62476 - 1.29571i) q^{5} +2.37458i q^{6} +4.11644i q^{7} +(1.50987 + 1.89332i) q^{8} +(-1.70187 - 0.819578i) q^{9} +O(q^{10})\) \(q+(-0.501288 - 2.19629i) q^{2} +(-1.02764 - 0.234553i) q^{3} +(-2.77045 + 1.33418i) q^{4} +(1.62476 - 1.29571i) q^{5} +2.37458i q^{6} +4.11644i q^{7} +(1.50987 + 1.89332i) q^{8} +(-1.70187 - 0.819578i) q^{9} +(-3.66022 - 2.91893i) q^{10} +(-0.236630 + 0.491367i) q^{11} +(3.15997 - 0.721242i) q^{12} +(2.43613 + 3.05481i) q^{13} +(9.04089 - 2.06352i) q^{14} +(-1.97359 + 0.950431i) q^{15} +(-0.433022 + 0.542993i) q^{16} +(3.68399 + 1.85155i) q^{17} +(-0.946900 + 4.14864i) q^{18} +(-1.60375 + 0.772326i) q^{19} +(-2.77262 + 5.75741i) q^{20} +(0.965523 - 4.23023i) q^{21} +(1.19780 + 0.273391i) q^{22} +(-0.956800 + 1.98682i) q^{23} +(-1.10753 - 2.29981i) q^{24} +(-0.151601 + 0.664206i) q^{25} +(5.48804 - 6.88179i) q^{26} +(4.02900 + 3.21302i) q^{27} +(-5.49207 - 11.4044i) q^{28} +(3.76745 - 0.859896i) q^{29} +(3.07676 + 3.85813i) q^{30} +(6.82752 - 1.55834i) q^{31} +(5.77330 + 2.78028i) q^{32} +(0.358423 - 0.449448i) q^{33} +(2.21981 - 9.01925i) q^{34} +(5.33370 + 6.68825i) q^{35} +5.80841 q^{36} -0.516885i q^{37} +(2.50019 + 3.13514i) q^{38} +(-1.78696 - 3.71066i) q^{39} +(4.90638 + 1.11985i) q^{40} +(4.31959 - 0.985917i) q^{41} -9.77481 q^{42} +(-5.74959 + 3.15313i) q^{43} -1.67701i q^{44} +(-3.82707 + 0.873504i) q^{45} +(4.84325 + 1.10544i) q^{46} +(-7.94766 + 3.82739i) q^{47} +(0.572353 - 0.456437i) q^{48} -9.94510 q^{49} +1.53478 q^{50} +(-3.35154 - 2.76683i) q^{51} +(-10.8248 - 5.21297i) q^{52} +(8.64292 - 10.8379i) q^{53} +(5.03702 - 10.4595i) q^{54} +(0.252200 + 1.10496i) q^{55} +(-7.79375 + 6.21531i) q^{56} +(1.82924 - 0.417511i) q^{57} +(-3.77716 - 7.84335i) q^{58} +(-8.03772 + 10.0790i) q^{59} +(4.19969 - 5.26624i) q^{60} +(-7.03615 - 1.60595i) q^{61} +(-6.84511 - 14.2140i) q^{62} +(3.37374 - 7.00565i) q^{63} +(2.90311 - 12.7193i) q^{64} +(7.91628 + 1.80684i) q^{65} +(-1.16679 - 0.561896i) q^{66} +(8.76630 - 4.22163i) q^{67} +(-12.6766 - 0.214545i) q^{68} +(1.44926 - 1.81732i) q^{69} +(12.0156 - 15.0671i) q^{70} +(5.92460 + 12.3026i) q^{71} +(-1.01789 - 4.45965i) q^{72} +(-6.97252 + 5.56040i) q^{73} +(-1.13523 + 0.259109i) q^{74} +(0.311583 - 0.647009i) q^{75} +(3.41269 - 4.27938i) q^{76} +(-2.02268 - 0.974074i) q^{77} +(-7.25390 + 5.78479i) q^{78} -2.79127i q^{79} +1.44331i q^{80} +(0.146442 + 0.183632i) q^{81} +(-4.33071 - 8.99282i) q^{82} +(2.21097 - 9.68690i) q^{83} +(2.96895 + 13.0078i) q^{84} +(8.38468 - 1.76502i) q^{85} +(9.80738 + 11.0471i) q^{86} -4.07329 q^{87} +(-1.28760 + 0.293886i) q^{88} +(3.87210 - 16.9648i) q^{89} +(3.83693 + 7.96747i) q^{90} +(-12.5750 + 10.0282i) q^{91} -6.78091i q^{92} -7.38177 q^{93} +(12.3901 + 15.5367i) q^{94} +(-1.60501 + 3.33284i) q^{95} +(-5.28077 - 4.21128i) q^{96} +(-5.07688 + 10.5423i) q^{97} +(4.98536 + 21.8423i) q^{98} +(0.805427 - 0.642307i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 384q - 12q^{2} - 72q^{4} - 8q^{8} + 62q^{9} + O(q^{10}) \) \( 384q - 12q^{2} - 72q^{4} - 8q^{8} + 62q^{9} - 18q^{13} - 12q^{15} - 20q^{16} - 14q^{17} + 30q^{18} + 8q^{19} + 20q^{21} + 46q^{25} + 2q^{26} - 30q^{30} + 50q^{32} - 90q^{33} + 8q^{34} + 52q^{35} - 328q^{36} - 46q^{38} + 184q^{42} + 60q^{43} - 2q^{47} - 340q^{49} - 172q^{50} - 68q^{51} + 38q^{52} - 8q^{53} - 28q^{55} + 10q^{59} + 58q^{60} - 44q^{64} + 90q^{66} - 104q^{67} + 60q^{68} - 2q^{69} + 40q^{70} - 164q^{72} - 72q^{76} + 94q^{77} + 120q^{81} - 66q^{83} + 112q^{84} - 96q^{85} - 136q^{86} + 72q^{87} - 6q^{89} - 220q^{93} - 142q^{94} + 124q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(-1\) \(e\left(\frac{4}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.501288 2.19629i −0.354464 1.55301i −0.766745 0.641952i \(-0.778125\pi\)
0.412280 0.911057i \(-0.364732\pi\)
\(3\) −1.02764 0.234553i −0.593310 0.135419i −0.0846858 0.996408i \(-0.526989\pi\)
−0.508624 + 0.860989i \(0.669846\pi\)
\(4\) −2.77045 + 1.33418i −1.38522 + 0.667089i
\(5\) 1.62476 1.29571i 0.726617 0.579457i −0.188776 0.982020i \(-0.560452\pi\)
0.915392 + 0.402563i \(0.131881\pi\)
\(6\) 2.37458i 0.969418i
\(7\) 4.11644i 1.55587i 0.628345 + 0.777934i \(0.283732\pi\)
−0.628345 + 0.777934i \(0.716268\pi\)
\(8\) 1.50987 + 1.89332i 0.533821 + 0.669391i
\(9\) −1.70187 0.819578i −0.567290 0.273193i
\(10\) −3.66022 2.91893i −1.15746 0.923045i
\(11\) −0.236630 + 0.491367i −0.0713466 + 0.148153i −0.933592 0.358338i \(-0.883343\pi\)
0.862245 + 0.506491i \(0.169058\pi\)
\(12\) 3.15997 0.721242i 0.912204 0.208205i
\(13\) 2.43613 + 3.05481i 0.675662 + 0.847253i 0.994947 0.100406i \(-0.0320141\pi\)
−0.319285 + 0.947659i \(0.603443\pi\)
\(14\) 9.04089 2.06352i 2.41628 0.551500i
\(15\) −1.97359 + 0.950431i −0.509579 + 0.245400i
\(16\) −0.433022 + 0.542993i −0.108256 + 0.135748i
\(17\) 3.68399 + 1.85155i 0.893498 + 0.449068i
\(18\) −0.946900 + 4.14864i −0.223187 + 0.977844i
\(19\) −1.60375 + 0.772326i −0.367926 + 0.177184i −0.608706 0.793396i \(-0.708311\pi\)
0.240780 + 0.970580i \(0.422597\pi\)
\(20\) −2.77262 + 5.75741i −0.619977 + 1.28740i
\(21\) 0.965523 4.23023i 0.210694 0.923113i
\(22\) 1.19780 + 0.273391i 0.255372 + 0.0582871i
\(23\) −0.956800 + 1.98682i −0.199507 + 0.414280i −0.976587 0.215121i \(-0.930985\pi\)
0.777081 + 0.629401i \(0.216700\pi\)
\(24\) −1.10753 2.29981i −0.226073 0.469446i
\(25\) −0.151601 + 0.664206i −0.0303201 + 0.132841i
\(26\) 5.48804 6.88179i 1.07629 1.34963i
\(27\) 4.02900 + 3.21302i 0.775381 + 0.618346i
\(28\) −5.49207 11.4044i −1.03790 2.15523i
\(29\) 3.76745 0.859896i 0.699598 0.159679i 0.142094 0.989853i \(-0.454616\pi\)
0.557504 + 0.830174i \(0.311759\pi\)
\(30\) 3.07676 + 3.85813i 0.561736 + 0.704395i
\(31\) 6.82752 1.55834i 1.22626 0.279886i 0.440122 0.897938i \(-0.354935\pi\)
0.786137 + 0.618052i \(0.212078\pi\)
\(32\) 5.77330 + 2.78028i 1.02059 + 0.491488i
\(33\) 0.358423 0.449448i 0.0623934 0.0782388i
\(34\) 2.21981 9.01925i 0.380694 1.54679i
\(35\) 5.33370 + 6.68825i 0.901560 + 1.13052i
\(36\) 5.80841 0.968068
\(37\) 0.516885i 0.0849754i −0.999097 0.0424877i \(-0.986472\pi\)
0.999097 0.0424877i \(-0.0135283\pi\)
\(38\) 2.50019 + 3.13514i 0.405585 + 0.508587i
\(39\) −1.78696 3.71066i −0.286143 0.594181i
\(40\) 4.90638 + 1.11985i 0.775767 + 0.177064i
\(41\) 4.31959 0.985917i 0.674606 0.153974i 0.128524 0.991706i \(-0.458976\pi\)
0.546082 + 0.837732i \(0.316119\pi\)
\(42\) −9.77481 −1.50829
\(43\) −5.74959 + 3.15313i −0.876804 + 0.480848i
\(44\) 1.67701i 0.252819i
\(45\) −3.82707 + 0.873504i −0.570506 + 0.130214i
\(46\) 4.84325 + 1.10544i 0.714098 + 0.162988i
\(47\) −7.94766 + 3.82739i −1.15929 + 0.558283i −0.911810 0.410611i \(-0.865315\pi\)
−0.247476 + 0.968894i \(0.579601\pi\)
\(48\) 0.572353 0.456437i 0.0826121 0.0658809i
\(49\) −9.94510 −1.42073
\(50\) 1.53478 0.217051
\(51\) −3.35154 2.76683i −0.469309 0.387433i
\(52\) −10.8248 5.21297i −1.50114 0.722909i
\(53\) 8.64292 10.8379i 1.18720 1.48870i 0.354423 0.935085i \(-0.384677\pi\)
0.832774 0.553613i \(-0.186751\pi\)
\(54\) 5.03702 10.4595i 0.685452 1.42336i
\(55\) 0.252200 + 1.10496i 0.0340066 + 0.148993i
\(56\) −7.79375 + 6.21531i −1.04148 + 0.830556i
\(57\) 1.82924 0.417511i 0.242288 0.0553007i
\(58\) −3.77716 7.84335i −0.495965 1.02988i
\(59\) −8.03772 + 10.0790i −1.04642 + 1.31217i −0.0979914 + 0.995187i \(0.531242\pi\)
−0.948431 + 0.316985i \(0.897330\pi\)
\(60\) 4.19969 5.26624i 0.542177 0.679869i
\(61\) −7.03615 1.60595i −0.900886 0.205621i −0.253097 0.967441i \(-0.581449\pi\)
−0.647789 + 0.761820i \(0.724306\pi\)
\(62\) −6.84511 14.2140i −0.869330 1.80518i
\(63\) 3.37374 7.00565i 0.425052 0.882629i
\(64\) 2.90311 12.7193i 0.362888 1.58992i
\(65\) 7.91628 + 1.80684i 0.981894 + 0.224111i
\(66\) −1.16679 0.561896i −0.143622 0.0691647i
\(67\) 8.76630 4.22163i 1.07097 0.515754i 0.186554 0.982445i \(-0.440268\pi\)
0.884421 + 0.466691i \(0.154554\pi\)
\(68\) −12.6766 0.214545i −1.53726 0.0260173i
\(69\) 1.44926 1.81732i 0.174471 0.218779i
\(70\) 12.0156 15.0671i 1.43614 1.80086i
\(71\) 5.92460 + 12.3026i 0.703121 + 1.46005i 0.879586 + 0.475739i \(0.157819\pi\)
−0.176465 + 0.984307i \(0.556466\pi\)
\(72\) −1.01789 4.45965i −0.119959 0.525575i
\(73\) −6.97252 + 5.56040i −0.816072 + 0.650796i −0.939878 0.341511i \(-0.889061\pi\)
0.123806 + 0.992306i \(0.460490\pi\)
\(74\) −1.13523 + 0.259109i −0.131968 + 0.0301208i
\(75\) 0.311583 0.647009i 0.0359785 0.0747101i
\(76\) 3.41269 4.27938i 0.391463 0.490879i
\(77\) −2.02268 0.974074i −0.230506 0.111006i
\(78\) −7.25390 + 5.78479i −0.821342 + 0.654998i
\(79\) 2.79127i 0.314043i −0.987595 0.157021i \(-0.949811\pi\)
0.987595 0.157021i \(-0.0501891\pi\)
\(80\) 1.44331i 0.161366i
\(81\) 0.146442 + 0.183632i 0.0162713 + 0.0204036i
\(82\) −4.33071 8.99282i −0.478247 0.993091i
\(83\) 2.21097 9.68690i 0.242686 1.06328i −0.695876 0.718162i \(-0.744984\pi\)
0.938561 0.345113i \(-0.112159\pi\)
\(84\) 2.96895 + 13.0078i 0.323939 + 1.41927i
\(85\) 8.38468 1.76502i 0.909446 0.191444i
\(86\) 9.80738 + 11.0471i 1.05756 + 1.19124i
\(87\) −4.07329 −0.436702
\(88\) −1.28760 + 0.293886i −0.137258 + 0.0313283i
\(89\) 3.87210 16.9648i 0.410442 1.79826i −0.171669 0.985155i \(-0.554916\pi\)
0.582111 0.813109i \(-0.302227\pi\)
\(90\) 3.83693 + 7.96747i 0.404448 + 0.839845i
\(91\) −12.5750 + 10.0282i −1.31821 + 1.05124i
\(92\) 6.78091i 0.706959i
\(93\) −7.38177 −0.765454
\(94\) 12.3901 + 15.5367i 1.27794 + 1.60249i
\(95\) −1.60501 + 3.33284i −0.164671 + 0.341942i
\(96\) −5.28077 4.21128i −0.538967 0.429812i
\(97\) −5.07688 + 10.5423i −0.515479 + 1.07040i 0.467039 + 0.884237i \(0.345321\pi\)
−0.982518 + 0.186167i \(0.940393\pi\)
\(98\) 4.98536 + 21.8423i 0.503597 + 2.20640i
\(99\) 0.805427 0.642307i 0.0809485 0.0645543i
\(100\) −0.466167 2.04241i −0.0466167 0.204241i
\(101\) −1.36165 + 0.655738i −0.135490 + 0.0652483i −0.500400 0.865794i \(-0.666814\pi\)
0.364911 + 0.931043i \(0.381100\pi\)
\(102\) −4.39666 + 8.74791i −0.435334 + 0.866172i
\(103\) 1.40095 1.75673i 0.138040 0.173096i −0.708007 0.706206i \(-0.750405\pi\)
0.846046 + 0.533110i \(0.178977\pi\)
\(104\) −2.10549 + 9.22477i −0.206461 + 0.904563i
\(105\) −3.91239 8.12417i −0.381810 0.792838i
\(106\) −28.1357 13.5494i −2.73278 1.31604i
\(107\) 6.03099 + 1.37653i 0.583038 + 0.133075i 0.503859 0.863786i \(-0.331913\pi\)
0.0791789 + 0.996860i \(0.474770\pi\)
\(108\) −15.4489 3.52611i −1.48657 0.339300i
\(109\) −1.13572 + 2.35834i −0.108782 + 0.225888i −0.948253 0.317517i \(-0.897151\pi\)
0.839471 + 0.543405i \(0.182865\pi\)
\(110\) 2.30038 1.10781i 0.219333 0.105625i
\(111\) −0.121237 + 0.531174i −0.0115073 + 0.0504168i
\(112\) −2.23520 1.78251i −0.211207 0.168432i
\(113\) 8.09794 + 6.45789i 0.761790 + 0.607507i 0.925388 0.379020i \(-0.123739\pi\)
−0.163599 + 0.986527i \(0.552310\pi\)
\(114\) −1.83395 3.80823i −0.171765 0.356674i
\(115\) 1.01975 + 4.46784i 0.0950926 + 0.416628i
\(116\) −9.29028 + 7.40875i −0.862581 + 0.687885i
\(117\) −1.64233 7.19550i −0.151833 0.665224i
\(118\) 26.1656 + 12.6007i 2.40873 + 1.15999i
\(119\) −7.62182 + 15.1649i −0.698691 + 1.39017i
\(120\) −4.77934 2.30161i −0.436292 0.210107i
\(121\) 6.67294 + 8.36760i 0.606631 + 0.760691i
\(122\) 16.2584i 1.47197i
\(123\) −4.67024 −0.421102
\(124\) −16.8362 + 13.4264i −1.51194 + 1.20573i
\(125\) 5.12268 + 10.6374i 0.458186 + 0.951434i
\(126\) −17.0776 3.89786i −1.52140 0.347249i
\(127\) 1.26751 + 5.55333i 0.112473 + 0.492779i 0.999517 + 0.0310918i \(0.00989843\pi\)
−0.887043 + 0.461687i \(0.847244\pi\)
\(128\) −16.5749 −1.46502
\(129\) 6.64810 1.89171i 0.585333 0.166556i
\(130\) 18.2922i 1.60433i
\(131\) −18.1511 + 4.14287i −1.58587 + 0.361964i −0.922398 0.386240i \(-0.873774\pi\)
−0.663469 + 0.748204i \(0.730917\pi\)
\(132\) −0.393348 + 1.72337i −0.0342366 + 0.150000i
\(133\) −3.17924 6.60175i −0.275675 0.572444i
\(134\) −13.6663 17.1371i −1.18059 1.48042i
\(135\) 10.7093 0.921710
\(136\) 2.05677 + 9.77059i 0.176366 + 0.837821i
\(137\) 10.1978 + 12.7876i 0.871255 + 1.09252i 0.994967 + 0.100201i \(0.0319484\pi\)
−0.123713 + 0.992318i \(0.539480\pi\)
\(138\) −4.71785 2.27200i −0.401610 0.193405i
\(139\) 15.0068 + 11.9675i 1.27286 + 1.01507i 0.998572 + 0.0534264i \(0.0170143\pi\)
0.274290 + 0.961647i \(0.411557\pi\)
\(140\) −23.7001 11.4133i −2.00302 0.964604i
\(141\) 9.06509 2.06905i 0.763418 0.174245i
\(142\) 24.0500 19.1793i 2.01823 1.60949i
\(143\) −2.07750 + 0.474175i −0.173729 + 0.0396525i
\(144\) 1.18197 0.569208i 0.0984978 0.0474340i
\(145\) 5.00705 6.27864i 0.415813 0.521413i
\(146\) 15.7075 + 12.5263i 1.29996 + 1.03668i
\(147\) 10.2200 + 2.33265i 0.842933 + 0.192394i
\(148\) 0.689617 + 1.43200i 0.0566862 + 0.117710i
\(149\) −7.25417 3.49342i −0.594284 0.286192i 0.112466 0.993656i \(-0.464125\pi\)
−0.706750 + 0.707463i \(0.749839\pi\)
\(150\) −1.57721 0.359988i −0.128779 0.0293929i
\(151\) −2.03948 + 8.93556i −0.165971 + 0.727166i 0.821609 + 0.570051i \(0.193077\pi\)
−0.987580 + 0.157115i \(0.949781\pi\)
\(152\) −3.88373 1.87030i −0.315012 0.151702i
\(153\) −4.75217 6.17042i −0.384191 0.498849i
\(154\) −1.12540 + 4.93069i −0.0906871 + 0.397326i
\(155\) 9.07397 11.3784i 0.728839 0.913935i
\(156\) 9.90137 + 7.89608i 0.792744 + 0.632192i
\(157\) 11.9529 5.75620i 0.953943 0.459395i 0.108876 0.994055i \(-0.465275\pi\)
0.845067 + 0.534661i \(0.179561\pi\)
\(158\) −6.13043 + 1.39923i −0.487711 + 0.111317i
\(159\) −11.4239 + 9.11026i −0.905974 + 0.722490i
\(160\) 12.9827 2.96321i 1.02637 0.234262i
\(161\) −8.17861 3.93861i −0.644565 0.310406i
\(162\) 0.329899 0.413681i 0.0259193 0.0325018i
\(163\) 8.64924 17.9603i 0.677461 1.40676i −0.224297 0.974521i \(-0.572009\pi\)
0.901758 0.432241i \(-0.142277\pi\)
\(164\) −10.6518 + 8.49453i −0.831766 + 0.663311i
\(165\) 1.19466i 0.0930040i
\(166\) −22.3835 −1.73730
\(167\) 0.365620 0.291572i 0.0282925 0.0225625i −0.609241 0.792985i \(-0.708526\pi\)
0.637534 + 0.770422i \(0.279955\pi\)
\(168\) 9.46702 4.55908i 0.730396 0.351740i
\(169\) −0.504375 + 2.20981i −0.0387980 + 0.169985i
\(170\) −8.07964 17.5304i −0.619680 1.34452i
\(171\) 3.36236 0.257126
\(172\) 11.7221 16.4066i 0.893802 1.25099i
\(173\) 3.54160i 0.269263i 0.990896 + 0.134632i \(0.0429851\pi\)
−0.990896 + 0.134632i \(0.957015\pi\)
\(174\) 2.04189 + 8.94611i 0.154795 + 0.678203i
\(175\) −2.73417 0.624056i −0.206684 0.0471742i
\(176\) −0.164343 0.341261i −0.0123878 0.0257235i
\(177\) 10.6240 8.47233i 0.798546 0.636819i
\(178\) −39.2006 −2.93821
\(179\) −0.619126 −0.0462756 −0.0231378 0.999732i \(-0.507366\pi\)
−0.0231378 + 0.999732i \(0.507366\pi\)
\(180\) 9.43729 7.52599i 0.703414 0.560954i
\(181\) −6.67697 + 13.8649i −0.496296 + 1.03057i 0.490924 + 0.871202i \(0.336659\pi\)
−0.987220 + 0.159366i \(0.949055\pi\)
\(182\) 28.3285 + 22.5912i 2.09985 + 1.67457i
\(183\) 6.85397 + 3.30070i 0.506660 + 0.243995i
\(184\) −5.20633 + 1.18831i −0.383816 + 0.0876034i
\(185\) −0.669732 0.839817i −0.0492396 0.0617446i
\(186\) 3.70039 + 16.2125i 0.271326 + 1.18876i
\(187\) −1.78153 + 1.37206i −0.130279 + 0.100335i
\(188\) 16.9122 21.2072i 1.23345 1.54669i
\(189\) −13.2262 + 16.5851i −0.962065 + 1.20639i
\(190\) 8.12444 + 1.85435i 0.589409 + 0.134529i
\(191\) −14.8133 + 7.13373i −1.07186 + 0.516179i −0.884705 0.466152i \(-0.845640\pi\)
−0.187152 + 0.982331i \(0.559926\pi\)
\(192\) −5.96672 + 12.3900i −0.430611 + 0.894172i
\(193\) 0.986128 + 0.225077i 0.0709830 + 0.0162014i 0.257865 0.966181i \(-0.416981\pi\)
−0.186882 + 0.982382i \(0.559838\pi\)
\(194\) 25.6988 + 5.86558i 1.84507 + 0.421124i
\(195\) −7.71132 3.71357i −0.552219 0.265935i
\(196\) 27.5524 13.2685i 1.96803 0.947752i
\(197\) 10.4843 + 2.39298i 0.746979 + 0.170493i 0.579034 0.815303i \(-0.303430\pi\)
0.167945 + 0.985796i \(0.446287\pi\)
\(198\) −1.81444 1.44697i −0.128947 0.102832i
\(199\) −1.93169 1.54047i −0.136934 0.109201i 0.552628 0.833428i \(-0.313625\pi\)
−0.689561 + 0.724227i \(0.742197\pi\)
\(200\) −1.48645 + 0.715839i −0.105108 + 0.0506175i
\(201\) −9.99883 + 2.28217i −0.705263 + 0.160972i
\(202\) 2.12277 + 2.66187i 0.149358 + 0.187288i
\(203\) 3.53971 + 15.5085i 0.248439 + 1.08848i
\(204\) 12.9767 + 3.19381i 0.908551 + 0.223611i
\(205\) 5.74085 7.19880i 0.400958 0.502786i
\(206\) −4.56057 2.19625i −0.317750 0.153020i
\(207\) 3.25670 2.59713i 0.226356 0.180513i
\(208\) −2.71364 −0.188157
\(209\) 0.970786i 0.0671507i
\(210\) −15.8818 + 12.6653i −1.09595 + 0.873988i
\(211\) 1.74942 + 3.63272i 0.120435 + 0.250086i 0.952467 0.304641i \(-0.0985366\pi\)
−0.832032 + 0.554728i \(0.812822\pi\)
\(212\) −9.48512 + 41.5570i −0.651440 + 2.85415i
\(213\) −3.20278 14.0323i −0.219451 0.961476i
\(214\) 13.9358i 0.952634i
\(215\) −5.25619 + 12.5729i −0.358469 + 0.857463i
\(216\) 12.4795i 0.849119i
\(217\) 6.41481 + 28.1051i 0.435465 + 1.90790i
\(218\) 5.74891 + 1.31215i 0.389365 + 0.0888700i
\(219\) 8.46948 4.07868i 0.572314 0.275612i
\(220\) −2.17292 2.72475i −0.146498 0.183703i
\(221\) 3.31852 + 15.7645i 0.223228 + 1.06044i
\(222\) 1.22738 0.0823767
\(223\) −5.24206 6.57333i −0.351034 0.440183i 0.574696 0.818367i \(-0.305120\pi\)
−0.925731 + 0.378184i \(0.876549\pi\)
\(224\) −11.4448 + 23.7655i −0.764691 + 1.58790i
\(225\) 0.802373 1.00614i 0.0534916 0.0670763i
\(226\) 10.1240 21.0227i 0.673437 1.39841i
\(227\) 4.17116 0.952039i 0.276849 0.0631891i −0.0818419 0.996645i \(-0.526080\pi\)
0.358691 + 0.933456i \(0.383223\pi\)
\(228\) −4.51077 + 3.59722i −0.298733 + 0.238232i
\(229\) −1.10708 4.85044i −0.0731579 0.320526i 0.925086 0.379757i \(-0.123992\pi\)
−0.998244 + 0.0592309i \(0.981135\pi\)
\(230\) 9.30146 4.47935i 0.613320 0.295359i
\(231\) 1.85013 + 1.47543i 0.121729 + 0.0970759i
\(232\) 7.31644 + 5.83467i 0.480348 + 0.383065i
\(233\) −18.5103 4.22485i −1.21265 0.276779i −0.432071 0.901839i \(-0.642217\pi\)
−0.780576 + 0.625061i \(0.785074\pi\)
\(234\) −14.9801 + 7.21404i −0.979280 + 0.471596i
\(235\) −7.95390 + 16.5164i −0.518855 + 1.07741i
\(236\) 8.82094 38.6471i 0.574194 2.51571i
\(237\) −0.654701 + 2.86843i −0.0425274 + 0.186325i
\(238\) 37.1272 + 9.13770i 2.40660 + 0.592309i
\(239\) −8.52275 + 4.10434i −0.551291 + 0.265488i −0.688724 0.725023i \(-0.741829\pi\)
0.137434 + 0.990511i \(0.456115\pi\)
\(240\) 0.338531 1.48320i 0.0218521 0.0957404i
\(241\) −7.37217 5.87911i −0.474883 0.378707i 0.356600 0.934257i \(-0.383936\pi\)
−0.831483 + 0.555551i \(0.812507\pi\)
\(242\) 15.0326 18.8503i 0.966331 1.21174i
\(243\) −6.81520 14.1519i −0.437195 0.907845i
\(244\) 21.6359 4.93826i 1.38510 0.316139i
\(245\) −16.1584 + 12.8859i −1.03232 + 0.823251i
\(246\) 2.34114 + 10.2572i 0.149265 + 0.653975i
\(247\) −6.26627 3.01767i −0.398713 0.192010i
\(248\) 13.2591 + 10.5738i 0.841956 + 0.671438i
\(249\) −4.54418 + 9.43608i −0.287976 + 0.597988i
\(250\) 20.7947 16.5833i 1.31518 1.04882i
\(251\) 28.1594 1.77741 0.888703 0.458483i \(-0.151607\pi\)
0.888703 + 0.458483i \(0.151607\pi\)
\(252\) 23.9100i 1.50619i
\(253\) −0.749848 0.940280i −0.0471426 0.0591149i
\(254\) 11.5613 5.56764i 0.725422 0.349345i
\(255\) −9.03045 0.152835i −0.565509 0.00957093i
\(256\) 2.50257 + 10.9645i 0.156410 + 0.685279i
\(257\) −8.11466 −0.506178 −0.253089 0.967443i \(-0.581447\pi\)
−0.253089 + 0.967443i \(0.581447\pi\)
\(258\) −7.48736 13.6528i −0.466142 0.849989i
\(259\) 2.12773 0.132211
\(260\) −24.3423 + 5.55597i −1.50965 + 0.344567i
\(261\) −7.11647 1.62429i −0.440498 0.100541i
\(262\) 18.1978 + 37.7882i 1.12427 + 2.33456i
\(263\) −9.35096 11.7257i −0.576605 0.723040i 0.404925 0.914350i \(-0.367298\pi\)
−0.981530 + 0.191310i \(0.938726\pi\)
\(264\) 1.39212 0.0856793
\(265\) 28.8077i 1.76964i
\(266\) −12.9056 + 10.2919i −0.791295 + 0.631036i
\(267\) −7.95828 + 16.5255i −0.487039 + 1.01135i
\(268\) −18.6542 + 23.3916i −1.13949 + 1.42887i
\(269\) 3.82391 7.94043i 0.233148 0.484137i −0.751267 0.659999i \(-0.770557\pi\)
0.984415 + 0.175862i \(0.0562712\pi\)
\(270\) −5.36845 23.5207i −0.326713 1.43142i
\(271\) −8.50818 10.6689i −0.516835 0.648091i 0.453099 0.891460i \(-0.350319\pi\)
−0.969934 + 0.243370i \(0.921747\pi\)
\(272\) −2.60063 + 1.19861i −0.157686 + 0.0726766i
\(273\) 15.2747 7.35592i 0.924469 0.445201i
\(274\) 22.9732 28.8075i 1.38786 1.74033i
\(275\) −0.290496 0.231663i −0.0175176 0.0139698i
\(276\) −1.59048 + 6.96836i −0.0957358 + 0.419446i
\(277\) −10.1843 21.1479i −0.611915 1.27065i −0.944788 0.327683i \(-0.893732\pi\)
0.332872 0.942972i \(-0.391982\pi\)
\(278\) 18.7614 38.9585i 1.12523 2.33657i
\(279\) −12.8967 2.94360i −0.772108 0.176229i
\(280\) −4.60979 + 20.1968i −0.275488 + 1.20699i
\(281\) −9.93969 4.78670i −0.592952 0.285551i 0.113244 0.993567i \(-0.463876\pi\)
−0.706196 + 0.708017i \(0.749590\pi\)
\(282\) −9.08844 18.8724i −0.541209 1.12383i
\(283\) 7.67980 + 1.75287i 0.456517 + 0.104197i 0.444595 0.895732i \(-0.353348\pi\)
0.0119224 + 0.999929i \(0.496205\pi\)
\(284\) −32.8276 26.1792i −1.94796 1.55345i
\(285\) 2.43111 3.04851i 0.144006 0.180578i
\(286\) 2.08285 + 4.32508i 0.123162 + 0.255748i
\(287\) 4.05847 + 17.7813i 0.239564 + 1.04960i
\(288\) −7.54676 9.46334i −0.444697 0.557633i
\(289\) 10.1435 + 13.6422i 0.596676 + 0.802482i
\(290\) −16.2997 7.84950i −0.957149 0.460939i
\(291\) 7.68994 9.64288i 0.450792 0.565276i
\(292\) 11.8985 24.7074i 0.696304 1.44589i
\(293\) −16.9695 21.2790i −0.991366 1.24313i −0.969935 0.243364i \(-0.921749\pi\)
−0.0214312 0.999770i \(-0.506822\pi\)
\(294\) 23.6154i 1.37728i
\(295\) 26.7905i 1.55980i
\(296\) 0.978631 0.780432i 0.0568818 0.0453617i
\(297\) −2.53215 + 1.21942i −0.146931 + 0.0707580i
\(298\) −4.03613 + 17.6834i −0.233807 + 1.02437i
\(299\) −8.40024 + 1.91730i −0.485799 + 0.110880i
\(300\) 2.20821i 0.127491i
\(301\) −12.9797 23.6678i −0.748136 1.36419i
\(302\) 20.6474 1.18813
\(303\) 1.55310 0.354485i 0.0892232 0.0203646i
\(304\) 0.275093 1.20526i 0.0157777 0.0691264i
\(305\) −13.5129 + 6.50748i −0.773748 + 0.372617i
\(306\) −11.1698 + 13.5303i −0.638535 + 0.773476i
\(307\) 7.42139 0.423561 0.211781 0.977317i \(-0.432074\pi\)
0.211781 + 0.977317i \(0.432074\pi\)
\(308\) 6.90333 0.393354
\(309\) −1.85172 + 1.47670i −0.105341 + 0.0840065i
\(310\) −29.5389 14.2252i −1.67770 0.807936i
\(311\) 11.2680 + 8.98595i 0.638951 + 0.509547i 0.888536 0.458806i \(-0.151723\pi\)
−0.249585 + 0.968353i \(0.580294\pi\)
\(312\) 4.32739 8.98593i 0.244990 0.508728i
\(313\) 11.6055 2.64889i 0.655984 0.149724i 0.118442 0.992961i \(-0.462210\pi\)
0.537542 + 0.843237i \(0.319353\pi\)
\(314\) −18.6341 23.3664i −1.05158 1.31864i
\(315\) −3.59573 15.7539i −0.202596 0.887633i
\(316\) 3.72405 + 7.73308i 0.209494 + 0.435019i
\(317\) 3.90597 + 3.11491i 0.219381 + 0.174951i 0.727013 0.686623i \(-0.240908\pi\)
−0.507632 + 0.861574i \(0.669479\pi\)
\(318\) 25.7354 + 20.5233i 1.44317 + 1.15089i
\(319\) −0.468967 + 2.05468i −0.0262571 + 0.115040i
\(320\) −11.7637 24.4275i −0.657609 1.36554i
\(321\) −5.87484 2.82917i −0.327902 0.157909i
\(322\) −4.55048 + 19.9370i −0.253588 + 1.11104i
\(323\) −7.33820 0.124195i −0.408308 0.00691040i
\(324\) −0.650707 0.313364i −0.0361504 0.0174091i
\(325\) −2.39835 + 1.15498i −0.133036 + 0.0640669i
\(326\) −43.7818 9.99291i −2.42485 0.553456i
\(327\) 1.72027 2.15714i 0.0951309 0.119290i
\(328\) 8.38869 + 6.68976i 0.463188 + 0.369380i
\(329\) −15.7552 32.7161i −0.868615 1.80370i
\(330\) −2.62381 + 0.598868i −0.144436 + 0.0329666i
\(331\) 3.92065 + 4.91634i 0.215498 + 0.270226i 0.877817 0.478996i \(-0.158999\pi\)
−0.662319 + 0.749222i \(0.730428\pi\)
\(332\) 6.79866 + 29.7869i 0.373125 + 1.63477i
\(333\) −0.423628 + 0.879672i −0.0232147 + 0.0482057i
\(334\) −0.823657 0.656845i −0.0450685 0.0359410i
\(335\) 8.77318 18.2177i 0.479330 0.995339i
\(336\) 1.87889 + 2.35606i 0.102502 + 0.128534i
\(337\) 25.4596i 1.38687i −0.720518 0.693436i \(-0.756096\pi\)
0.720518 0.693436i \(-0.243904\pi\)
\(338\) 5.10621 0.277741
\(339\) −6.80707 8.53580i −0.369709 0.463601i
\(340\) −20.8745 + 16.0766i −1.13208 + 0.871874i
\(341\) −0.849880 + 3.72357i −0.0460236 + 0.201643i
\(342\) −1.68551 7.38471i −0.0911420 0.399319i
\(343\) 12.1233i 0.654598i
\(344\) −14.6511 6.12500i −0.789932 0.330238i
\(345\) 4.83053i 0.260067i
\(346\) 7.77838 1.77536i 0.418168 0.0954442i
\(347\) −1.21204 0.276640i −0.0650657 0.0148508i 0.189864 0.981810i \(-0.439195\pi\)
−0.254930 + 0.966960i \(0.582052\pi\)
\(348\) 11.2848 5.43449i 0.604931 0.291319i
\(349\) −6.01635 7.54426i −0.322048 0.403835i 0.594284 0.804255i \(-0.297436\pi\)
−0.916332 + 0.400420i \(0.868864\pi\)
\(350\) 6.31785i 0.337703i
\(351\) 20.1352i 1.07474i
\(352\) −2.73227 + 2.17891i −0.145631 + 0.116137i
\(353\) −15.1461 7.29398i −0.806146 0.388220i −0.0150313 0.999887i \(-0.504785\pi\)
−0.791115 + 0.611667i \(0.790499\pi\)
\(354\) −23.9333 19.0862i −1.27204 1.01442i
\(355\) 25.5666 + 12.3122i 1.35693 + 0.653465i
\(356\) 11.9066 + 52.1662i 0.631048 + 2.76480i
\(357\) 11.3895 13.7964i 0.602795 0.730183i
\(358\) 0.310360 + 1.35978i 0.0164031 + 0.0718665i
\(359\) −23.6200 + 11.3748i −1.24661 + 0.600338i −0.936602 0.350395i \(-0.886047\pi\)
−0.310012 + 0.950733i \(0.600333\pi\)
\(360\) −7.43222 5.92700i −0.391712 0.312380i
\(361\) −9.87077 + 12.3776i −0.519514 + 0.651451i
\(362\) 33.7983 + 7.71425i 1.77640 + 0.405452i
\(363\) −4.89476 10.1641i −0.256908 0.533475i
\(364\) 21.4589 44.5599i 1.12475 2.33557i
\(365\) −4.12406 + 18.0687i −0.215863 + 0.945758i
\(366\) 3.81346 16.7079i 0.199333 0.873335i
\(367\) −6.39494 + 13.2792i −0.333813 + 0.693170i −0.998546 0.0539111i \(-0.982831\pi\)
0.664732 + 0.747082i \(0.268546\pi\)
\(368\) −0.664511 1.37987i −0.0346400 0.0719308i
\(369\) −8.15941 1.86233i −0.424762 0.0969492i
\(370\) −1.50875 + 1.89191i −0.0784362 + 0.0983559i
\(371\) 44.6135 + 35.5781i 2.31622 + 1.84712i
\(372\) 20.4508 9.84860i 1.06033 0.510626i
\(373\) 0.738786 + 3.23683i 0.0382529 + 0.167597i 0.990446 0.137899i \(-0.0440349\pi\)
−0.952193 + 0.305496i \(0.901178\pi\)
\(374\) 3.90649 + 3.22496i 0.202000 + 0.166759i
\(375\) −2.76927 12.1329i −0.143004 0.626543i
\(376\) −19.2465 9.26861i −0.992561 0.477992i
\(377\) 11.8048 + 9.41404i 0.607980 + 0.484848i
\(378\) 43.0559 + 20.7346i 2.21456 + 1.06647i
\(379\) −19.0339 + 15.1791i −0.977708 + 0.779696i −0.975432 0.220302i \(-0.929296\pi\)
−0.00227585 + 0.999997i \(0.500724\pi\)
\(380\) 11.3748i 0.583516i
\(381\) 6.00414i 0.307602i
\(382\) 23.0935 + 28.9583i 1.18157 + 1.48164i
\(383\) 13.7638 6.62828i 0.703295 0.338689i −0.0478240 0.998856i \(-0.515229\pi\)
0.751119 + 0.660167i \(0.229514\pi\)
\(384\) 17.0330 + 3.88768i 0.869214 + 0.198392i
\(385\) −4.54850 + 1.03817i −0.231813 + 0.0529098i
\(386\) 2.27865i 0.115980i
\(387\) 12.3693 0.653986i 0.628766 0.0332440i
\(388\) 35.9802i 1.82662i
\(389\) −3.76496 16.4954i −0.190891 0.836348i −0.976136 0.217162i \(-0.930320\pi\)
0.785245 0.619186i \(-0.212537\pi\)
\(390\) −4.29048 + 18.7978i −0.217257 + 0.951865i
\(391\) −7.20353 + 5.54783i −0.364298 + 0.280566i
\(392\) −15.0159 18.8293i −0.758415 0.951022i
\(393\) 19.6246 0.989928
\(394\) 24.2262i 1.22050i
\(395\) −3.61667 4.53516i −0.181974 0.228189i
\(396\) −1.37444 + 2.85406i −0.0690684 + 0.143422i
\(397\) −7.25116 5.78261i −0.363926 0.290221i 0.424406 0.905472i \(-0.360483\pi\)
−0.788331 + 0.615251i \(0.789055\pi\)
\(398\) −2.41498 + 5.01476i −0.121052 + 0.251367i
\(399\) 1.71866 + 7.52994i 0.0860407 + 0.376969i
\(400\) −0.295013 0.369934i −0.0147506 0.0184967i
\(401\) 4.43097 1.01134i 0.221272 0.0505039i −0.110447 0.993882i \(-0.535228\pi\)
0.331720 + 0.943378i \(0.392371\pi\)
\(402\) 10.0246 + 20.8163i 0.499981 + 1.03822i
\(403\) 21.3932 + 17.0605i 1.06567 + 0.849844i
\(404\) 2.89752 3.63338i 0.144157 0.180767i
\(405\) 0.475867 + 0.108613i 0.0236460 + 0.00539705i
\(406\) 32.2867 15.5485i 1.60236 0.771657i
\(407\) 0.253980 + 0.122311i 0.0125893 + 0.00606271i
\(408\) 0.178098 10.5231i 0.00881715 0.520971i
\(409\) −0.763402 + 3.34468i −0.0377478 + 0.165384i −0.990289 0.139027i \(-0.955602\pi\)
0.952541 + 0.304411i \(0.0984596\pi\)
\(410\) −18.6884 8.99988i −0.922956 0.444472i
\(411\) −7.48030 15.5330i −0.368976 0.766187i
\(412\) −1.53746 + 6.73606i −0.0757452 + 0.331862i
\(413\) −41.4896 33.0868i −2.04157 1.62810i
\(414\) −7.33659 5.85074i −0.360574 0.287548i
\(415\) −8.95906 18.6037i −0.439783 0.913219i
\(416\) 5.57131 + 24.4095i 0.273156 + 1.19677i
\(417\) −12.6146 15.8183i −0.617741 0.774623i
\(418\) −2.13213 + 0.486644i −0.104286 + 0.0238025i
\(419\) 9.47327 19.6714i 0.462799 0.961013i −0.530741 0.847534i \(-0.678086\pi\)
0.993540 0.113479i \(-0.0361994\pi\)
\(420\) 21.6782 + 17.2878i 1.05779 + 0.843557i
\(421\) 5.89909 + 2.84085i 0.287504 + 0.138455i 0.572077 0.820200i \(-0.306138\pi\)
−0.284573 + 0.958654i \(0.591852\pi\)
\(422\) 7.10152 5.66327i 0.345697 0.275684i
\(423\) 16.6627 0.810170
\(424\) 33.5693 1.63027
\(425\) −1.78831 + 2.16623i −0.0867457 + 0.105078i
\(426\) −29.2134 + 14.0684i −1.41539 + 0.681618i
\(427\) 6.61082 28.9639i 0.319920 1.40166i
\(428\) −18.5451 + 4.23280i −0.896411 + 0.204600i
\(429\) 2.24615 0.108445
\(430\) 30.2485 + 5.24148i 1.45871 + 0.252767i
\(431\) 31.4850i 1.51658i −0.651918 0.758290i \(-0.726035\pi\)
0.651918 0.758290i \(-0.273965\pi\)
\(432\) −3.48930 + 0.796409i −0.167879 + 0.0383172i
\(433\) 2.55686 11.2023i 0.122875 0.538350i −0.875595 0.483046i \(-0.839530\pi\)
0.998470 0.0553035i \(-0.0176126\pi\)
\(434\) 58.5112 28.1775i 2.80863 1.35256i
\(435\) −6.61813 + 5.27778i −0.317315 + 0.253050i
\(436\) 8.04890i 0.385472i
\(437\) 3.92532i 0.187773i
\(438\) −13.2036 16.5568i −0.630893 0.791115i
\(439\) −11.6654 + 24.2235i −0.556760 + 1.15613i 0.412698 + 0.910868i \(0.364587\pi\)
−0.969458 + 0.245257i \(0.921128\pi\)
\(440\) −1.71125 + 2.14584i −0.0815808 + 0.102299i
\(441\) 16.9253 + 8.15078i 0.805965 + 0.388132i
\(442\) 32.9599 15.1910i 1.56774 0.722562i
\(443\) 8.87359 + 11.1271i 0.421597 + 0.528666i 0.946590 0.322441i \(-0.104503\pi\)
−0.524993 + 0.851107i \(0.675932\pi\)
\(444\) −0.372800 1.63334i −0.0176923 0.0775150i
\(445\) −15.6901 32.5809i −0.743783 1.54448i
\(446\) −11.8091 + 14.8082i −0.559179 + 0.701188i
\(447\) 6.63530 + 5.29148i 0.313839 + 0.250278i
\(448\) 52.3584 + 11.9505i 2.47370 + 0.564607i
\(449\) −11.5927 24.0726i −0.547095 1.13605i −0.972897 0.231238i \(-0.925722\pi\)
0.425802 0.904816i \(-0.359992\pi\)
\(450\) −2.61200 1.25787i −0.123131 0.0592968i
\(451\) −0.537696 + 2.35580i −0.0253191 + 0.110930i
\(452\) −31.0509 7.08716i −1.46051 0.333352i
\(453\) 4.19173 8.70421i 0.196944 0.408959i
\(454\) −4.18190 8.68381i −0.196266 0.407551i
\(455\) −7.43775 + 32.5869i −0.348687 + 1.52770i
\(456\) 3.55240 + 2.83294i 0.166356 + 0.132665i
\(457\) 9.99309 12.5309i 0.467457 0.586173i −0.491089 0.871109i \(-0.663401\pi\)
0.958546 + 0.284937i \(0.0919726\pi\)
\(458\) −10.0980 + 4.86293i −0.471848 + 0.227230i
\(459\) 8.89370 + 19.2966i 0.415122 + 0.900690i
\(460\) −8.78607 11.0174i −0.409653 0.513688i
\(461\) 0.379637 + 1.66330i 0.0176814 + 0.0774674i 0.982999 0.183612i \(-0.0587788\pi\)
−0.965317 + 0.261079i \(0.915922\pi\)
\(462\) 2.31301 4.80302i 0.107611 0.223457i
\(463\) 8.43863 10.5817i 0.392176 0.491774i −0.546071 0.837739i \(-0.683877\pi\)
0.938247 + 0.345965i \(0.112448\pi\)
\(464\) −1.16447 + 2.41805i −0.0540593 + 0.112255i
\(465\) −11.9936 + 9.56461i −0.556192 + 0.443548i
\(466\) 42.7717i 1.98136i
\(467\) 21.4203 0.991214 0.495607 0.868547i \(-0.334946\pi\)
0.495607 + 0.868547i \(0.334946\pi\)
\(468\) 14.1501 + 17.7436i 0.654087 + 0.820199i
\(469\) 17.3781 + 36.0860i 0.802446 + 1.66630i
\(470\) 40.2621 + 9.18955i 1.85715 + 0.423882i
\(471\) −13.6334 + 3.11174i −0.628195 + 0.143381i
\(472\) −31.2187 −1.43696
\(473\) −0.188820 3.57128i −0.00868195 0.164208i
\(474\) 6.62809 0.304438
\(475\) −0.269854 1.18231i −0.0123817 0.0542480i
\(476\) 0.883160 52.1825i 0.0404796 2.39178i
\(477\) −23.5916 + 11.3611i −1.08019 + 0.520190i
\(478\) 13.2867 + 16.6609i 0.607718 + 0.762054i
\(479\) 11.7436i 0.536578i 0.963339 + 0.268289i \(0.0864582\pi\)
−0.963339 + 0.268289i \(0.913542\pi\)
\(480\) −14.0366 −0.640680
\(481\) 1.57899 1.25920i 0.0719957 0.0574147i
\(482\) −9.21663 + 19.1385i −0.419806 + 0.871736i
\(483\) 7.48088 + 5.96580i 0.340392 + 0.271453i
\(484\) −29.6509 14.2791i −1.34777 0.649051i
\(485\) 5.41093 + 23.7068i 0.245698 + 1.07647i
\(486\) −27.6653 + 22.0623i −1.25492 + 1.00077i
\(487\) 25.7721 5.88231i 1.16785 0.266553i 0.405729 0.913993i \(-0.367018\pi\)
0.762116 + 0.647440i \(0.224160\pi\)
\(488\) −7.58311 15.7465i −0.343271 0.712810i
\(489\) −13.1010 + 16.4281i −0.592447 + 0.742905i
\(490\) 36.4012 + 29.0290i 1.64444 + 1.31140i
\(491\) 6.83722 29.9558i 0.308559 1.35189i −0.548277 0.836297i \(-0.684716\pi\)
0.856836 0.515589i \(-0.172427\pi\)
\(492\) 12.9387 6.23094i 0.583320 0.280912i
\(493\) 15.4714 + 3.80780i 0.696796 + 0.171494i
\(494\) −3.48647 + 15.2752i −0.156864 + 0.687266i
\(495\) 0.476388 2.08719i 0.0214121 0.0938124i
\(496\) −2.11030 + 4.38209i −0.0947555 + 0.196762i
\(497\) −50.6428 + 24.3883i −2.27164 + 1.09396i
\(498\) 23.0023 + 5.25012i 1.03076 + 0.235264i
\(499\) −0.537207 0.428408i −0.0240487 0.0191782i 0.611392 0.791328i \(-0.290610\pi\)
−0.635440 + 0.772150i \(0.719181\pi\)
\(500\) −28.3843 22.6357i −1.26938 1.01230i
\(501\) −0.444116 + 0.213875i −0.0198416 + 0.00955523i
\(502\) −14.1160 61.8462i −0.630027 2.76033i
\(503\) 10.1758 8.11492i 0.453716 0.361826i −0.369808 0.929108i \(-0.620576\pi\)
0.823524 + 0.567282i \(0.192005\pi\)
\(504\) 18.3579 4.19007i 0.817726 0.186641i
\(505\) −1.36272 + 2.82972i −0.0606403 + 0.125921i
\(506\) −1.68923 + 2.11823i −0.0750956 + 0.0941670i
\(507\) 1.03663 2.15259i 0.0460386 0.0956000i
\(508\) −10.9207 13.6941i −0.484528 0.607579i
\(509\) 10.3058 0.456797 0.228399 0.973568i \(-0.426651\pi\)
0.228399 + 0.973568i \(0.426651\pi\)
\(510\) 4.19119 + 19.9101i 0.185589 + 0.881633i
\(511\) −22.8891 28.7020i −1.01255 1.26970i
\(512\) −7.04027 + 3.39041i −0.311139 + 0.149837i
\(513\) −8.94301 2.04118i −0.394844 0.0901205i
\(514\) 4.06778 + 17.8221i 0.179422 + 0.786100i
\(515\) 4.66949i 0.205763i
\(516\) −15.8943 + 14.1106i −0.699710 + 0.621186i
\(517\) 4.81090i 0.211583i
\(518\) −1.06661 4.67310i −0.0468639 0.205324i
\(519\) 0.830693 3.63951i 0.0364634 0.159757i
\(520\) 8.53166 + 17.7162i 0.374138 + 0.776906i
\(521\) −30.3570 + 24.2089i −1.32996 + 1.06061i −0.337084 + 0.941475i \(0.609441\pi\)
−0.992878 + 0.119135i \(0.961988\pi\)
\(522\) 16.4440i 0.719736i
\(523\) −20.4822 −0.895626 −0.447813 0.894127i \(-0.647797\pi\)
−0.447813 + 0.894127i \(0.647797\pi\)
\(524\) 44.7593 35.6944i 1.95532 1.55932i
\(525\) 2.66337 + 1.28261i 0.116239 + 0.0559778i
\(526\) −21.0656 + 26.4154i −0.918502 + 1.15177i
\(527\) 28.0378 + 6.90064i 1.22135 + 0.300596i
\(528\) 0.0888420 + 0.389242i 0.00386635 + 0.0169396i
\(529\) 11.3083 + 14.1802i 0.491665 + 0.616528i
\(530\) −63.2700 + 14.4410i −2.74827 + 0.627275i
\(531\) 21.9397 10.5656i 0.952101 0.458508i
\(532\) 17.6158 + 14.0481i 0.763743 + 0.609064i
\(533\) 13.5349 + 10.7937i 0.586261 + 0.467527i
\(534\) 40.2842 + 9.19461i 1.74327 + 0.397890i
\(535\) 11.5825 5.57785i 0.500756 0.241151i
\(536\) 21.2289 + 10.2233i 0.916950 + 0.441580i
\(537\) 0.636241 + 0.145218i 0.0274558 + 0.00626661i
\(538\) −19.3564 4.41796i −0.834512 0.190472i
\(539\) 2.35331 4.88669i 0.101364 0.210485i
\(540\) −29.6696 + 14.2881i −1.27678 + 0.614863i
\(541\) −11.6247 2.65326i −0.499785 0.114073i −0.0348053 0.999394i \(-0.511081\pi\)
−0.464979 + 0.885322i \(0.653938\pi\)
\(542\) −19.1670 + 24.0346i −0.823291 + 1.03237i
\(543\) 10.1136 12.6820i 0.434016 0.544239i
\(544\) 16.1209 + 20.9321i 0.691179 + 0.897455i
\(545\) 1.21044 + 5.30329i 0.0518497 + 0.227168i
\(546\) −23.8128 29.8602i −1.01909 1.27790i
\(547\) 32.4425 7.40479i 1.38714 0.316606i 0.537187 0.843463i \(-0.319487\pi\)
0.849954 + 0.526857i \(0.176630\pi\)
\(548\) −45.3133 21.8218i −1.93569 0.932179i
\(549\) 10.6584 + 8.49980i 0.454890 + 0.362762i
\(550\) −0.363176 + 0.754142i −0.0154859 + 0.0321567i
\(551\) −5.37794 + 4.28876i −0.229108 + 0.182707i
\(552\) 5.62897 0.239585
\(553\) 11.4901 0.488609
\(554\) −41.3416 + 32.9688i −1.75644 + 1.40071i
\(555\) 0.491264 + 1.02012i 0.0208530 + 0.0433017i
\(556\) −57.5425 13.1337i −2.44034 0.556993i
\(557\) 1.86931 + 8.18996i 0.0792050 + 0.347020i 0.998966 0.0454585i \(-0.0144749\pi\)
−0.919761 + 0.392478i \(0.871618\pi\)
\(558\) 29.8005i 1.26156i
\(559\) −23.6390 9.88248i −0.999823 0.417984i
\(560\) −5.94128 −0.251065
\(561\) 2.15260 0.992120i 0.0908829 0.0418874i
\(562\) −5.53032 + 24.2299i −0.233283 + 1.02208i
\(563\) −31.7229 + 15.2770i −1.33696 + 0.643847i −0.959377 0.282127i \(-0.908960\pi\)
−0.377586 + 0.925975i \(0.623246\pi\)
\(564\) −22.3539 + 17.8266i −0.941269 + 0.750637i
\(565\) 21.5248 0.905553
\(566\) 17.7457i 0.745909i
\(567\) −0.755911 + 0.602819i −0.0317453 + 0.0253160i
\(568\) −14.3473 + 29.7925i −0.602000 + 1.25007i
\(569\) 16.3771 20.5362i 0.686562 0.860922i −0.309378 0.950939i \(-0.600121\pi\)
0.995940 + 0.0900173i \(0.0286922\pi\)
\(570\) −7.91409 3.81122i −0.331485 0.159635i
\(571\) −37.0039 + 8.44590i −1.54857 + 0.353450i −0.909501 0.415703i \(-0.863536\pi\)
−0.639065 + 0.769153i \(0.720679\pi\)
\(572\) 5.12297 4.08543i 0.214202 0.170820i
\(573\) 16.8961 3.85642i 0.705844 0.161104i
\(574\) 37.0184 17.8271i 1.54512 0.744090i
\(575\) −1.17460 0.936715i −0.0489843 0.0390637i
\(576\) −15.3652 + 19.2674i −0.640217 + 0.802807i
\(577\) 8.19942 35.9240i 0.341346 1.49554i −0.454889 0.890548i \(-0.650321\pi\)
0.796235 0.604987i \(-0.206822\pi\)
\(578\) 24.8774 29.1167i 1.03476 1.21109i
\(579\) −0.960595 0.462598i −0.0399210 0.0192249i
\(580\) −5.49495 + 24.0749i −0.228165 + 0.999657i
\(581\) 39.8756 + 9.10133i 1.65432 + 0.377587i
\(582\) −25.0334 12.0555i −1.03767 0.499715i
\(583\) 3.28021 + 6.81142i 0.135852 + 0.282100i
\(584\) −21.0553 4.80573i −0.871273 0.198862i
\(585\) −11.9916 9.56302i −0.495794 0.395382i
\(586\) −38.2283 + 47.9367i −1.57919 + 1.98025i
\(587\) 17.4068 8.38269i 0.718457 0.345991i −0.0386756 0.999252i \(-0.512314\pi\)
0.757133 + 0.653261i \(0.226600\pi\)
\(588\) −31.4262 + 7.17282i −1.29599 + 0.295802i
\(589\) −9.74611 + 7.77226i −0.401581 + 0.320250i
\(590\) 58.8396 13.4298i 2.42239 0.552894i
\(591\) −10.2129 4.91827i −0.420102 0.202311i
\(592\) 0.280665 + 0.223823i 0.0115353 + 0.00919907i
\(593\) 40.6768 + 19.5889i 1.67040 + 0.804420i 0.997931 + 0.0642916i \(0.0204788\pi\)
0.672465 + 0.740129i \(0.265236\pi\)
\(594\) 3.94754 + 4.95006i 0.161969 + 0.203103i
\(595\) 7.26562 + 34.5150i 0.297861 + 1.41498i
\(596\) 24.7581 1.01413
\(597\) 1.62376 + 2.03614i 0.0664562 + 0.0833335i
\(598\) 8.42189 + 17.4882i 0.344397 + 0.715147i
\(599\) 10.1721 44.5671i 0.415623 1.82096i −0.140769 0.990042i \(-0.544958\pi\)
0.556392 0.830920i \(-0.312185\pi\)
\(600\) 1.69545 0.386975i 0.0692163 0.0157982i
\(601\) 9.52838i 0.388671i 0.980935 + 0.194335i \(0.0622550\pi\)
−0.980935 + 0.194335i \(0.937745\pi\)
\(602\) −45.4748 + 40.3715i −1.85342 + 1.64542i
\(603\) −18.3791 −0.748453
\(604\) −6.27135 27.4766i −0.255177 1.11801i
\(605\) 21.6839 + 4.94921i 0.881576 + 0.201214i
\(606\) −1.55710 3.23335i −0.0632529 0.131346i
\(607\) 30.3093 24.1708i 1.23022 0.981064i 0.230247 0.973132i \(-0.426047\pi\)
0.999969 0.00793183i \(-0.00252481\pi\)
\(608\) −11.4062 −0.462583
\(609\) 16.7675i 0.679451i
\(610\) 21.0662 + 26.4161i 0.852944 + 1.06956i
\(611\) −31.0535 14.9546i −1.25629 0.604998i
\(612\) 21.3981 + 10.7546i 0.864967 + 0.434728i
\(613\) −14.3922 6.93093i −0.581296 0.279938i 0.120039 0.992769i \(-0.461698\pi\)
−0.701335 + 0.712832i \(0.747412\pi\)
\(614\) −3.72026 16.2995i −0.150137 0.657795i
\(615\) −7.58804 + 6.05126i −0.305979 + 0.244010i
\(616\) −1.20976 5.30032i −0.0487428 0.213556i
\(617\) 20.4576 + 42.4806i 0.823591 + 1.71020i 0.695601 + 0.718428i \(0.255138\pi\)
0.127990 + 0.991775i \(0.459147\pi\)
\(618\) 4.17150 + 3.32666i 0.167802 + 0.133818i
\(619\) 12.2738 + 9.78806i 0.493327 + 0.393415i 0.838310 0.545194i \(-0.183544\pi\)
−0.344983 + 0.938609i \(0.612115\pi\)
\(620\) −9.95816 + 43.6295i −0.399929 + 1.75220i
\(621\) −10.2386 + 4.93066i −0.410862 + 0.197861i
\(622\) 14.0872 29.2524i 0.564845 1.17291i
\(623\) 69.8346 + 15.9393i 2.79786 + 0.638594i
\(624\) 2.78866 + 0.636493i 0.111636 + 0.0254801i
\(625\) 19.0369 + 9.16771i 0.761478 + 0.366708i
\(626\) −11.6354 24.1613i −0.465046 0.965678i
\(627\) −0.227701 + 0.997622i −0.00909349 + 0.0398412i
\(628\) −25.4350 + 31.8945i −1.01497 + 1.27273i
\(629\) 0.957041 1.90420i 0.0381597 0.0759254i
\(630\) −32.7976 + 15.7945i −1.30669 + 0.629268i
\(631\) −6.11817 26.8055i −0.243561 1.06711i −0.937749 0.347315i \(-0.887094\pi\)
0.694188 0.719794i \(-0.255764\pi\)
\(632\) 5.28478 4.21447i 0.210217 0.167643i
\(633\) −0.945720 4.14347i −0.0375890 0.164688i
\(634\) 4.88321 10.1401i 0.193937 0.402715i
\(635\) 9.25489 + 7.38053i 0.367269 + 0.292887i
\(636\) 19.4946 40.4810i 0.773012 1.60518i
\(637\) −24.2276 30.3804i −0.959932 1.20372i
\(638\) 4.74775 0.187965
\(639\) 25.7930i 1.02036i
\(640\) −26.9302 + 21.4761i −1.06451 + 0.848919i
\(641\) −18.4158 38.2407i −0.727379 1.51042i −0.855019 0.518597i \(-0.826454\pi\)
0.127640 0.991821i \(-0.459260\pi\)
\(642\) −3.26869 + 14.3211i −0.129005 + 0.565207i
\(643\) −17.4597 + 3.98507i −0.688544 + 0.157156i −0.552457 0.833541i \(-0.686310\pi\)
−0.136087 + 0.990697i \(0.543453\pi\)
\(644\) 27.9132 1.09994
\(645\) 8.35050 11.6876i 0.328800 0.460198i
\(646\) 3.40579 + 16.1791i 0.133999 + 0.636556i
\(647\) 5.57987 + 24.4470i 0.219367 + 0.961111i 0.957947 + 0.286945i \(0.0926397\pi\)
−0.738580 + 0.674166i \(0.764503\pi\)
\(648\) −0.126566 + 0.554523i −0.00497199 + 0.0217837i
\(649\) −3.05052 6.33446i −0.119743 0.248649i
\(650\) 3.73894 + 4.68848i 0.146653 + 0.183897i
\(651\) 30.3866i 1.19095i
\(652\) 61.2978i 2.40061i
\(653\) 7.03187 5.60773i 0.275178 0.219447i −0.476170 0.879353i \(-0.657975\pi\)
0.751348 + 0.659906i \(0.229404\pi\)
\(654\) −5.60006 2.69684i −0.218980 0.105455i
\(655\) −24.1233 + 30.2497i −0.942575 + 1.18195i
\(656\) −1.33513 + 2.77243i −0.0521281 + 0.108245i
\(657\) 16.4235 3.74856i 0.640742 0.146245i
\(658\) −63.9560 + 51.0032i −2.49327 + 1.98831i
\(659\) −0.252658 1.10697i −0.00984218 0.0431214i 0.969768 0.244027i \(-0.0784686\pi\)
−0.979611 + 0.200906i \(0.935611\pi\)
\(660\) 1.59389 + 3.30974i 0.0620419 + 0.128831i
\(661\) 2.58961 3.24727i 0.100724 0.126304i −0.728915 0.684605i \(-0.759975\pi\)
0.829639 + 0.558300i \(0.188546\pi\)
\(662\) 8.83231 11.0754i 0.343278 0.430457i
\(663\) 0.287355 16.9787i 0.0111599 0.659397i
\(664\) 21.6787 10.4399i 0.841297 0.405147i
\(665\) −13.7194 6.60693i −0.532017 0.256206i
\(666\) 2.14437 + 0.489439i 0.0830927 + 0.0189654i
\(667\) −1.89624 + 8.30798i −0.0734228 + 0.321686i
\(668\) −0.623923 + 1.29559i −0.0241403 + 0.0501278i
\(669\) 3.84517 + 7.98458i 0.148663 + 0.308702i
\(670\) −44.4092 10.1361i −1.71568 0.391592i
\(671\) 2.45408 3.07731i 0.0947386 0.118798i
\(672\) 17.3355 21.7380i 0.668730 0.838561i
\(673\) −16.5465 34.3591i −0.637819 1.32444i −0.929816 0.368025i \(-0.880034\pi\)
0.291997 0.956419i \(-0.405680\pi\)
\(674\) −55.9166 + 12.7626i −2.15383 + 0.491597i
\(675\) −2.74491 + 2.18899i −0.105652 + 0.0842543i
\(676\) −1.55094 6.79509i −0.0596513 0.261350i
\(677\) 8.60398 17.8663i 0.330678 0.686659i −0.667650 0.744476i \(-0.732700\pi\)
0.998327 + 0.0578164i \(0.0184138\pi\)
\(678\) −15.3348 + 19.2292i −0.588928 + 0.738492i
\(679\) −43.3966 20.8987i −1.66541 0.802018i
\(680\) 16.0016 + 13.2099i 0.613632 + 0.506578i
\(681\) −4.50976 −0.172815
\(682\) 8.60406 0.329467
\(683\) 2.17767 1.73664i 0.0833264 0.0664506i −0.580941 0.813946i \(-0.697315\pi\)
0.664267 + 0.747495i \(0.268744\pi\)
\(684\) −9.31525 + 4.48599i −0.356177 + 0.171526i
\(685\) 33.1379 + 7.56352i 1.26614 + 0.288987i
\(686\) −26.6263 + 6.07728i −1.01660 + 0.232032i
\(687\) 5.24419i 0.200078i
\(688\) 0.777573 4.48736i 0.0296447 0.171079i
\(689\) 54.1630 2.06345
\(690\) −10.6092 + 2.42149i −0.403886 + 0.0921845i
\(691\) 27.3653 + 6.24594i 1.04102 + 0.237607i 0.708664 0.705546i \(-0.249298\pi\)
0.332359 + 0.943153i \(0.392155\pi\)
\(692\) −4.72513 9.81183i −0.179622 0.372990i
\(693\) 2.64402 + 3.31549i 0.100438 + 0.125945i
\(694\) 2.80066i 0.106312i
\(695\) 39.8890 1.51307
\(696\) −6.15015 7.71205i −0.233121 0.292324i
\(697\) 17.7388 + 4.36584i 0.671904 + 0.165368i
\(698\) −13.5534 + 16.9955i −0.513005 + 0.643288i
\(699\) 18.0310 + 8.68327i 0.681995 + 0.328431i
\(700\) 8.40747 1.91895i 0.317772 0.0725295i
\(701\) 11.7455 + 14.7284i 0.443622 + 0.556284i 0.952494 0.304558i \(-0.0985087\pi\)
−0.508872 + 0.860842i \(0.669937\pi\)
\(702\) 44.2227 10.0935i 1.66908 0.380956i
\(703\) 0.399204 + 0.828956i 0.0150563 + 0.0312647i
\(704\) 5.56291 + 4.43627i 0.209660 + 0.167198i
\(705\) 12.0478 15.1074i 0.453745 0.568978i
\(706\) −8.42712 + 36.9216i −0.317159 + 1.38956i
\(707\) −2.69931 5.60517i −0.101518 0.210804i
\(708\) −18.1296 + 37.6464i −0.681351 + 1.41484i
\(709\) −22.0706 5.03747i −0.828879 0.189186i −0.213025 0.977047i \(-0.568332\pi\)
−0.615854 + 0.787861i \(0.711189\pi\)
\(710\) 14.2249 62.3235i 0.533853 2.33896i
\(711\) −2.28766 + 4.75038i −0.0857941 + 0.178153i
\(712\) 37.9662 18.2836i 1.42284 0.685206i
\(713\) −3.43644 + 15.0560i −0.128696 + 0.563853i
\(714\) −36.0103 18.0986i −1.34765 0.677323i
\(715\) −2.76105 + 3.46225i −0.103257 + 0.129481i
\(716\) 1.71526 0.826024i 0.0641022 0.0308700i
\(717\) 9.72103 2.21876i 0.363038 0.0828612i
\(718\) 36.8227 + 46.1742i 1.37421 + 1.72321i
\(719\) −29.8452 + 6.81198i −1.11304 + 0.254044i −0.739224 0.673459i \(-0.764808\pi\)
−0.373815 + 0.927503i \(0.621951\pi\)
\(720\) 1.18290 2.45632i 0.0440841 0.0915416i
\(721\) 7.23149 + 5.76692i 0.269315 + 0.214771i
\(722\) 32.1328 + 15.4743i 1.19586 + 0.575895i
\(723\) 6.19700 + 7.77079i 0.230469 + 0.288999i
\(724\) 47.3202i 1.75864i
\(725\) 2.63273i 0.0977770i
\(726\) −19.8695 + 15.8454i −0.737427 + 0.588079i
\(727\) −43.5717 + 20.9830i −1.61598 + 0.778217i −0.999955 0.00950657i \(-0.996974\pi\)
−0.616029 + 0.787723i \(0.711260\pi\)
\(728\) −37.9733 8.66715i −1.40738 0.321226i
\(729\) 3.52743 + 15.4547i 0.130646 + 0.572395i
\(730\) 41.7514 1.54529
\(731\) −27.0196 + 0.970412i −0.999356 + 0.0358920i
\(732\) −23.3923 −0.864604
\(733\) −9.77914 42.8452i −0.361201 1.58252i −0.750152 0.661265i \(-0.770020\pi\)
0.388951 0.921258i \(-0.372837\pi\)
\(734\) 32.3707 + 7.38841i 1.19483 + 0.272711i
\(735\) 19.6275 9.45213i 0.723973 0.348647i
\(736\) −11.0478 + 8.81032i −0.407227 + 0.324753i
\(737\) 5.30644i 0.195465i
\(738\) 18.8540i 0.694024i
\(739\) −4.97149 6.23406i −0.182879 0.229323i 0.681938 0.731410i \(-0.261137\pi\)
−0.864817 + 0.502086i \(0.832566\pi\)
\(740\) 2.97592 + 1.43313i 0.109397 + 0.0526829i
\(741\) 5.73168 + 4.57086i 0.210559 + 0.167915i
\(742\) 55.7755 115.819i 2.04758 4.25185i
\(743\) 22.6968 5.18040i 0.832665 0.190050i 0.215122 0.976587i \(-0.430985\pi\)
0.617543 + 0.786537i \(0.288128\pi\)
\(744\) −11.1455 13.9761i −0.408616 0.512388i
\(745\) −16.3128 + 3.72328i −0.597653 + 0.136410i
\(746\) 6.73867 3.24517i 0.246720 0.118814i
\(747\) −11.7020 + 14.6738i −0.428152 + 0.536886i
\(748\) 3.10508 6.17810i 0.113533 0.225894i
\(749\) −5.66643 + 24.8262i −0.207047 + 0.907131i
\(750\) −25.2592 + 12.1642i −0.922337 + 0.444174i
\(751\) 8.63349 17.9276i 0.315041 0.654189i −0.681976 0.731374i \(-0.738879\pi\)
0.997017 + 0.0771859i \(0.0245935\pi\)
\(752\) 1.36327 5.97287i 0.0497133 0.217808i
\(753\) −28.9378 6.60487i −1.05455 0.240695i
\(754\) 14.7583 30.6460i 0.537466 1.11606i
\(755\) 8.26418 + 17.1608i 0.300764 + 0.624544i
\(756\) 14.5150 63.5944i 0.527906 2.31291i