Properties

Label 731.2.n.a.208.8
Level 731
Weight 2
Character 731.208
Analytic conductor 5.837
Analytic rank 0
Dimension 256
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.n (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(256\)
Relative dimension: \(64\) over \(\Q(\zeta_{12})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 208.8
Character \(\chi\) = 731.208
Dual form 731.2.n.a.608.57

$q$-expansion

\(f(q)\) \(=\) \(q-2.26939i q^{2} +(1.08136 + 0.289751i) q^{3} -3.15015 q^{4} +(1.08055 + 0.289533i) q^{5} +(0.657559 - 2.45404i) q^{6} +(-0.970179 + 0.259959i) q^{7} +2.61014i q^{8} +(-1.51268 - 0.873348i) q^{9} +O(q^{10})\) \(q-2.26939i q^{2} +(1.08136 + 0.289751i) q^{3} -3.15015 q^{4} +(1.08055 + 0.289533i) q^{5} +(0.657559 - 2.45404i) q^{6} +(-0.970179 + 0.259959i) q^{7} +2.61014i q^{8} +(-1.51268 - 0.873348i) q^{9} +(0.657064 - 2.45220i) q^{10} +(-3.42886 - 3.42886i) q^{11} +(-3.40646 - 0.912758i) q^{12} +(1.79783 - 3.11392i) q^{13} +(0.589949 + 2.20172i) q^{14} +(1.08458 + 0.626181i) q^{15} -0.376859 q^{16} +(3.78503 + 1.63509i) q^{17} +(-1.98197 + 3.43287i) q^{18} +(4.38203 - 2.52997i) q^{19} +(-3.40390 - 0.912071i) q^{20} -1.12444 q^{21} +(-7.78143 + 7.78143i) q^{22} +(-0.419950 + 1.56728i) q^{23} +(-0.756291 + 2.82251i) q^{24} +(-3.24637 - 1.87429i) q^{25} +(-7.06672 - 4.07997i) q^{26} +(-3.75755 - 3.75755i) q^{27} +(3.05621 - 0.818908i) q^{28} +(-1.30677 - 4.87693i) q^{29} +(1.42105 - 2.46133i) q^{30} +(-1.69384 - 0.453864i) q^{31} +6.07552i q^{32} +(-2.71433 - 4.70136i) q^{33} +(3.71066 - 8.58974i) q^{34} -1.12359 q^{35} +(4.76518 + 2.75118i) q^{36} +(-0.945912 - 0.253456i) q^{37} +(-5.74149 - 9.94456i) q^{38} +(2.84637 - 2.84637i) q^{39} +(-0.755721 + 2.82039i) q^{40} +(-3.91923 - 3.91923i) q^{41} +2.55180i q^{42} +(5.53057 + 3.52317i) q^{43} +(10.8014 + 10.8014i) q^{44} +(-1.38167 - 1.38167i) q^{45} +(3.55677 + 0.953032i) q^{46} +7.97389 q^{47} +(-0.407522 - 0.109195i) q^{48} +(-5.18851 + 2.99559i) q^{49} +(-4.25350 + 7.36728i) q^{50} +(3.61923 + 2.86484i) q^{51} +(-5.66342 + 9.80933i) q^{52} +(-7.88387 + 4.55176i) q^{53} +(-8.52736 + 8.52736i) q^{54} +(-2.71229 - 4.69782i) q^{55} +(-0.678529 - 2.53230i) q^{56} +(5.47163 - 1.46612i) q^{57} +(-11.0677 + 2.96558i) q^{58} -13.1592i q^{59} +(-3.41658 - 1.97256i) q^{60} +(5.55314 - 1.48796i) q^{61} +(-1.03000 + 3.84400i) q^{62} +(1.69461 + 0.454068i) q^{63} +13.0340 q^{64} +(2.84422 - 2.84422i) q^{65} +(-10.6692 + 6.15989i) q^{66} +(4.49441 + 7.78454i) q^{67} +(-11.9234 - 5.15077i) q^{68} +(-0.908238 + 1.57312i) q^{69} +2.54988i q^{70} +(1.85266 + 6.91423i) q^{71} +(2.27956 - 3.94832i) q^{72} +(3.65252 + 13.6314i) q^{73} +(-0.575192 + 2.14665i) q^{74} +(-2.96743 - 2.96743i) q^{75} +(-13.8041 + 7.96977i) q^{76} +(4.21797 + 2.43524i) q^{77} +(-6.45953 - 6.45953i) q^{78} +(11.7241 - 3.14147i) q^{79} +(-0.407215 - 0.109113i) q^{80} +(-0.354485 - 0.613986i) q^{81} +(-8.89428 + 8.89428i) q^{82} +(9.37301 - 5.41151i) q^{83} +3.54215 q^{84} +(3.61651 + 2.86269i) q^{85} +(7.99547 - 12.5510i) q^{86} -5.65238i q^{87} +(8.94981 - 8.94981i) q^{88} +(4.51490 + 7.82004i) q^{89} +(-3.13555 + 3.13555i) q^{90} +(-0.934720 + 3.48842i) q^{91} +(1.32291 - 4.93715i) q^{92} +(-1.70016 - 0.981586i) q^{93} -18.0959i q^{94} +(5.46752 - 1.46502i) q^{95} +(-1.76039 + 6.56986i) q^{96} +(10.8384 - 10.8384i) q^{97} +(6.79817 + 11.7748i) q^{98} +(2.19219 + 8.18136i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 256q - 6q^{3} - 264q^{4} + 2q^{5} - 2q^{6} + O(q^{10}) \) \( 256q - 6q^{3} - 264q^{4} + 2q^{5} - 2q^{6} + 2q^{10} + 4q^{11} + 8q^{12} - 8q^{13} - 6q^{14} + 248q^{16} - 2q^{17} + 16q^{18} - 14q^{20} - 16q^{21} - 4q^{22} + 8q^{23} + 12q^{24} - 12q^{27} - 14q^{28} + 2q^{29} + 8q^{30} - 24q^{31} + 20q^{33} + 16q^{34} + 40q^{35} + 18q^{37} + 8q^{38} + 36q^{39} - 10q^{40} + 8q^{41} - 80q^{44} - 4q^{45} + 2q^{46} + 24q^{47} + 24q^{48} + 92q^{50} - 20q^{51} + 4q^{52} - 88q^{54} - 80q^{55} + 60q^{56} - 44q^{57} + 34q^{58} - 8q^{61} + 24q^{62} - 26q^{63} - 200q^{64} - 8q^{65} + 44q^{67} - 58q^{68} + 40q^{69} - 26q^{71} - 48q^{72} + 36q^{73} + 90q^{74} - 156q^{75} - 24q^{78} + 22q^{79} + 30q^{80} + 132q^{81} + 156q^{82} - 160q^{84} - 28q^{85} + 52q^{86} + 28q^{88} - 20q^{89} + 28q^{90} + 34q^{91} - 70q^{92} + 40q^{95} - 16q^{96} - 92q^{98} + 30q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(173\) \(562\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.26939i 1.60470i −0.596851 0.802352i \(-0.703582\pi\)
0.596851 0.802352i \(-0.296418\pi\)
\(3\) 1.08136 + 0.289751i 0.624326 + 0.167288i 0.557094 0.830450i \(-0.311916\pi\)
0.0672324 + 0.997737i \(0.478583\pi\)
\(4\) −3.15015 −1.57507
\(5\) 1.08055 + 0.289533i 0.483237 + 0.129483i 0.492209 0.870477i \(-0.336189\pi\)
−0.00897252 + 0.999960i \(0.502856\pi\)
\(6\) 0.657559 2.45404i 0.268447 1.00186i
\(7\) −0.970179 + 0.259959i −0.366693 + 0.0982551i −0.437460 0.899238i \(-0.644122\pi\)
0.0707672 + 0.997493i \(0.477455\pi\)
\(8\) 2.61014i 0.922824i
\(9\) −1.51268 0.873348i −0.504227 0.291116i
\(10\) 0.657064 2.45220i 0.207782 0.775452i
\(11\) −3.42886 3.42886i −1.03384 1.03384i −0.999407 0.0344327i \(-0.989038\pi\)
−0.0344327 0.999407i \(-0.510962\pi\)
\(12\) −3.40646 0.912758i −0.983360 0.263491i
\(13\) 1.79783 3.11392i 0.498627 0.863647i −0.501372 0.865232i \(-0.667171\pi\)
0.999999 + 0.00158466i \(0.000504412\pi\)
\(14\) 0.589949 + 2.20172i 0.157670 + 0.588434i
\(15\) 1.08458 + 0.626181i 0.280037 + 0.161679i
\(16\) −0.376859 −0.0942147
\(17\) 3.78503 + 1.63509i 0.918006 + 0.396567i
\(18\) −1.98197 + 3.43287i −0.467155 + 0.809136i
\(19\) 4.38203 2.52997i 1.00531 0.580414i 0.0954928 0.995430i \(-0.469557\pi\)
0.909814 + 0.415016i \(0.136224\pi\)
\(20\) −3.40390 0.912071i −0.761134 0.203945i
\(21\) −1.12444 −0.245373
\(22\) −7.78143 + 7.78143i −1.65901 + 1.65901i
\(23\) −0.419950 + 1.56728i −0.0875657 + 0.326800i −0.995788 0.0916892i \(-0.970773\pi\)
0.908222 + 0.418489i \(0.137440\pi\)
\(24\) −0.756291 + 2.82251i −0.154377 + 0.576143i
\(25\) −3.24637 1.87429i −0.649273 0.374858i
\(26\) −7.06672 4.07997i −1.38590 0.800149i
\(27\) −3.75755 3.75755i −0.723141 0.723141i
\(28\) 3.05621 0.818908i 0.577569 0.154759i
\(29\) −1.30677 4.87693i −0.242661 0.905624i −0.974545 0.224194i \(-0.928025\pi\)
0.731883 0.681430i \(-0.238642\pi\)
\(30\) 1.42105 2.46133i 0.259447 0.449376i
\(31\) −1.69384 0.453864i −0.304224 0.0815164i 0.103478 0.994632i \(-0.467003\pi\)
−0.407701 + 0.913115i \(0.633670\pi\)
\(32\) 6.07552i 1.07401i
\(33\) −2.71433 4.70136i −0.472504 0.818402i
\(34\) 3.71066 8.58974i 0.636372 1.47313i
\(35\) −1.12359 −0.189922
\(36\) 4.76518 + 2.75118i 0.794196 + 0.458529i
\(37\) −0.945912 0.253456i −0.155507 0.0416680i 0.180226 0.983625i \(-0.442317\pi\)
−0.335733 + 0.941957i \(0.608984\pi\)
\(38\) −5.74149 9.94456i −0.931393 1.61322i
\(39\) 2.84637 2.84637i 0.455783 0.455783i
\(40\) −0.755721 + 2.82039i −0.119490 + 0.445943i
\(41\) −3.91923 3.91923i −0.612081 0.612081i 0.331407 0.943488i \(-0.392477\pi\)
−0.943488 + 0.331407i \(0.892477\pi\)
\(42\) 2.55180i 0.393751i
\(43\) 5.53057 + 3.52317i 0.843405 + 0.537279i
\(44\) 10.8014 + 10.8014i 1.62837 + 1.62837i
\(45\) −1.38167 1.38167i −0.205967 0.205967i
\(46\) 3.55677 + 0.953032i 0.524416 + 0.140517i
\(47\) 7.97389 1.16311 0.581556 0.813506i \(-0.302444\pi\)
0.581556 + 0.813506i \(0.302444\pi\)
\(48\) −0.407522 0.109195i −0.0588207 0.0157610i
\(49\) −5.18851 + 2.99559i −0.741216 + 0.427941i
\(50\) −4.25350 + 7.36728i −0.601536 + 1.04189i
\(51\) 3.61923 + 2.86484i 0.506794 + 0.401158i
\(52\) −5.66342 + 9.80933i −0.785375 + 1.36031i
\(53\) −7.88387 + 4.55176i −1.08293 + 0.625232i −0.931686 0.363264i \(-0.881662\pi\)
−0.151247 + 0.988496i \(0.548329\pi\)
\(54\) −8.52736 + 8.52736i −1.16043 + 1.16043i
\(55\) −2.71229 4.69782i −0.365725 0.633454i
\(56\) −0.678529 2.53230i −0.0906722 0.338393i
\(57\) 5.47163 1.46612i 0.724736 0.194192i
\(58\) −11.0677 + 2.96558i −1.45326 + 0.389399i
\(59\) 13.1592i 1.71319i −0.515993 0.856593i \(-0.672577\pi\)
0.515993 0.856593i \(-0.327423\pi\)
\(60\) −3.41658 1.97256i −0.441078 0.254657i
\(61\) 5.55314 1.48796i 0.711006 0.190514i 0.114851 0.993383i \(-0.463361\pi\)
0.596155 + 0.802869i \(0.296694\pi\)
\(62\) −1.03000 + 3.84400i −0.130810 + 0.488189i
\(63\) 1.69461 + 0.454068i 0.213500 + 0.0572073i
\(64\) 13.0340 1.62926
\(65\) 2.84422 2.84422i 0.352783 0.352783i
\(66\) −10.6692 + 6.15989i −1.31329 + 0.758230i
\(67\) 4.49441 + 7.78454i 0.549079 + 0.951033i 0.998338 + 0.0576311i \(0.0183547\pi\)
−0.449259 + 0.893402i \(0.648312\pi\)
\(68\) −11.9234 5.15077i −1.44593 0.624622i
\(69\) −0.908238 + 1.57312i −0.109339 + 0.189381i
\(70\) 2.54988i 0.304769i
\(71\) 1.85266 + 6.91423i 0.219870 + 0.820568i 0.984395 + 0.175973i \(0.0563072\pi\)
−0.764524 + 0.644595i \(0.777026\pi\)
\(72\) 2.27956 3.94832i 0.268649 0.465313i
\(73\) 3.65252 + 13.6314i 0.427495 + 1.59543i 0.758413 + 0.651775i \(0.225975\pi\)
−0.330917 + 0.943660i \(0.607358\pi\)
\(74\) −0.575192 + 2.14665i −0.0668647 + 0.249543i
\(75\) −2.96743 2.96743i −0.342649 0.342649i
\(76\) −13.8041 + 7.96977i −1.58343 + 0.914196i
\(77\) 4.21797 + 2.43524i 0.480682 + 0.277522i
\(78\) −6.45953 6.45953i −0.731397 0.731397i
\(79\) 11.7241 3.14147i 1.31907 0.353443i 0.470439 0.882433i \(-0.344096\pi\)
0.848628 + 0.528990i \(0.177429\pi\)
\(80\) −0.407215 0.109113i −0.0455280 0.0121992i
\(81\) −0.354485 0.613986i −0.0393872 0.0682207i
\(82\) −8.89428 + 8.89428i −0.982209 + 0.982209i
\(83\) 9.37301 5.41151i 1.02882 0.593990i 0.112175 0.993689i \(-0.464218\pi\)
0.916647 + 0.399698i \(0.130885\pi\)
\(84\) 3.54215 0.386481
\(85\) 3.61651 + 2.86269i 0.392266 + 0.310502i
\(86\) 7.99547 12.5510i 0.862174 1.35341i
\(87\) 5.65238i 0.605999i
\(88\) 8.94981 8.94981i 0.954053 0.954053i
\(89\) 4.51490 + 7.82004i 0.478579 + 0.828923i 0.999698 0.0245611i \(-0.00781882\pi\)
−0.521120 + 0.853484i \(0.674485\pi\)
\(90\) −3.13555 + 3.13555i −0.330516 + 0.330516i
\(91\) −0.934720 + 3.48842i −0.0979853 + 0.365686i
\(92\) 1.32291 4.93715i 0.137922 0.514734i
\(93\) −1.70016 0.981586i −0.176298 0.101786i
\(94\) 18.0959i 1.86645i
\(95\) 5.46752 1.46502i 0.560955 0.150307i
\(96\) −1.76039 + 6.56986i −0.179669 + 0.670533i
\(97\) 10.8384 10.8384i 1.10047 1.10047i 0.106115 0.994354i \(-0.466159\pi\)
0.994354 0.106115i \(-0.0338413\pi\)
\(98\) 6.79817 + 11.7748i 0.686719 + 1.18943i
\(99\) 2.19219 + 8.18136i 0.220323 + 0.822258i
\(100\) 10.2265 + 5.90430i 1.02265 + 0.590430i
\(101\) −2.92017 + 5.05788i −0.290568 + 0.503278i −0.973944 0.226788i \(-0.927177\pi\)
0.683376 + 0.730066i \(0.260511\pi\)
\(102\) 6.50146 8.21347i 0.643740 0.813255i
\(103\) −2.86987 + 4.97076i −0.282777 + 0.489784i −0.972068 0.234701i \(-0.924589\pi\)
0.689291 + 0.724485i \(0.257922\pi\)
\(104\) 8.12778 + 4.69258i 0.796995 + 0.460145i
\(105\) −1.21501 0.325562i −0.118573 0.0317716i
\(106\) 10.3297 + 17.8916i 1.00331 + 1.73779i
\(107\) 11.1060 11.1060i 1.07366 1.07366i 0.0765947 0.997062i \(-0.475595\pi\)
0.997062 0.0765947i \(-0.0244048\pi\)
\(108\) 11.8368 + 11.8368i 1.13900 + 1.13900i
\(109\) 3.45330 12.8879i 0.330766 1.23444i −0.577621 0.816305i \(-0.696019\pi\)
0.908387 0.418130i \(-0.137314\pi\)
\(110\) −10.6612 + 6.15525i −1.01651 + 0.586880i
\(111\) −0.949437 0.548157i −0.0901165 0.0520288i
\(112\) 0.365620 0.0979676i 0.0345479 0.00925707i
\(113\) −5.09530 5.09530i −0.479326 0.479326i 0.425590 0.904916i \(-0.360066\pi\)
−0.904916 + 0.425590i \(0.860066\pi\)
\(114\) −3.32720 12.4173i −0.311621 1.16299i
\(115\) −0.907555 + 1.57193i −0.0846299 + 0.146583i
\(116\) 4.11652 + 15.3631i 0.382209 + 1.42642i
\(117\) −5.43908 + 3.14025i −0.502843 + 0.290316i
\(118\) −29.8635 −2.74915
\(119\) −4.09722 0.602375i −0.375591 0.0552196i
\(120\) −1.63442 + 2.83090i −0.149201 + 0.258425i
\(121\) 12.5141i 1.13765i
\(122\) −3.37676 12.6023i −0.305718 1.14095i
\(123\) −3.10252 5.37372i −0.279745 0.484532i
\(124\) 5.33586 + 1.42974i 0.479175 + 0.128394i
\(125\) −6.92028 6.92028i −0.618969 0.618969i
\(126\) 1.03046 3.84573i 0.0918007 0.342605i
\(127\) 18.7367i 1.66261i 0.555814 + 0.831307i \(0.312407\pi\)
−0.555814 + 0.831307i \(0.687593\pi\)
\(128\) 17.4283i 1.54046i
\(129\) 4.95972 + 5.41232i 0.436679 + 0.476529i
\(130\) −6.45467 6.45467i −0.566112 0.566112i
\(131\) 2.84821 2.84821i 0.248849 0.248849i −0.571649 0.820498i \(-0.693696\pi\)
0.820498 + 0.571649i \(0.193696\pi\)
\(132\) 8.55055 + 14.8100i 0.744230 + 1.28904i
\(133\) −3.59367 + 3.59367i −0.311610 + 0.311610i
\(134\) 17.6662 10.1996i 1.52613 0.881109i
\(135\) −2.97229 5.14816i −0.255814 0.443083i
\(136\) −4.26781 + 9.87948i −0.365962 + 0.847158i
\(137\) 2.15230 0.183884 0.0919418 0.995764i \(-0.470693\pi\)
0.0919418 + 0.995764i \(0.470693\pi\)
\(138\) 3.57002 + 2.06115i 0.303900 + 0.175457i
\(139\) −4.28290 1.14760i −0.363271 0.0973381i 0.0725666 0.997364i \(-0.476881\pi\)
−0.435837 + 0.900026i \(0.643548\pi\)
\(140\) 3.53949 0.299141
\(141\) 8.62269 + 2.31044i 0.726161 + 0.194574i
\(142\) 15.6911 4.20442i 1.31677 0.352827i
\(143\) −16.8417 + 4.51272i −1.40837 + 0.377372i
\(144\) 0.570067 + 0.329129i 0.0475056 + 0.0274274i
\(145\) 5.64813i 0.469051i
\(146\) 30.9350 8.28901i 2.56020 0.686003i
\(147\) −6.47864 + 1.73595i −0.534350 + 0.143179i
\(148\) 2.97976 + 0.798425i 0.244935 + 0.0656302i
\(149\) −5.03953 8.72873i −0.412855 0.715085i 0.582346 0.812941i \(-0.302135\pi\)
−0.995201 + 0.0978558i \(0.968802\pi\)
\(150\) −6.73426 + 6.73426i −0.549850 + 0.549850i
\(151\) 18.7133i 1.52287i 0.648241 + 0.761435i \(0.275505\pi\)
−0.648241 + 0.761435i \(0.724495\pi\)
\(152\) 6.60357 + 11.4377i 0.535620 + 0.927722i
\(153\) −4.29756 5.77902i −0.347437 0.467206i
\(154\) 5.52653 9.57223i 0.445340 0.771352i
\(155\) −1.69888 0.980847i −0.136457 0.0787835i
\(156\) −8.96648 + 8.96648i −0.717893 + 0.717893i
\(157\) −10.5469 + 18.2677i −0.841733 + 1.45792i 0.0466948 + 0.998909i \(0.485131\pi\)
−0.888428 + 0.459016i \(0.848202\pi\)
\(158\) −7.12923 26.6067i −0.567171 2.11671i
\(159\) −9.84422 + 2.63775i −0.780697 + 0.209187i
\(160\) −1.75906 + 6.56491i −0.139066 + 0.519002i
\(161\) 1.62971i 0.128439i
\(162\) −1.39338 + 0.804467i −0.109474 + 0.0632049i
\(163\) −5.92075 + 1.58646i −0.463749 + 0.124261i −0.483126 0.875551i \(-0.660499\pi\)
0.0193764 + 0.999812i \(0.493832\pi\)
\(164\) 12.3462 + 12.3462i 0.964074 + 0.964074i
\(165\) −1.57178 5.86595i −0.122363 0.456663i
\(166\) −12.2808 21.2711i −0.953179 1.65095i
\(167\) 13.5003 + 3.61739i 1.04468 + 0.279922i 0.740054 0.672548i \(-0.234800\pi\)
0.304631 + 0.952470i \(0.401467\pi\)
\(168\) 2.93495i 0.226436i
\(169\) 0.0356485 + 0.0617450i 0.00274219 + 0.00474961i
\(170\) 6.49656 8.20729i 0.498264 0.629470i
\(171\) −8.83816 −0.675871
\(172\) −17.4221 11.0985i −1.32842 0.846255i
\(173\) 14.4587 14.4587i 1.09927 1.09927i 0.104779 0.994495i \(-0.466586\pi\)
0.994495 0.104779i \(-0.0334136\pi\)
\(174\) −12.8275 −0.972449
\(175\) 3.63679 + 0.974476i 0.274916 + 0.0736635i
\(176\) 1.29219 + 1.29219i 0.0974029 + 0.0974029i
\(177\) 3.81290 14.2299i 0.286595 1.06959i
\(178\) 17.7468 10.2461i 1.33018 0.767977i
\(179\) 0.553705 + 0.319682i 0.0413858 + 0.0238941i 0.520550 0.853831i \(-0.325727\pi\)
−0.479164 + 0.877725i \(0.659060\pi\)
\(180\) 4.35246 + 4.35246i 0.324413 + 0.324413i
\(181\) 4.82346 1.29244i 0.358525 0.0960664i −0.0750604 0.997179i \(-0.523915\pi\)
0.433585 + 0.901113i \(0.357248\pi\)
\(182\) 7.91661 + 2.12125i 0.586818 + 0.157237i
\(183\) 6.43610 0.475770
\(184\) −4.09081 1.09613i −0.301579 0.0808077i
\(185\) −0.948722 0.547745i −0.0697514 0.0402710i
\(186\) −2.22760 + 3.85832i −0.163336 + 0.282906i
\(187\) −7.37187 18.5848i −0.539084 1.35906i
\(188\) −25.1190 −1.83199
\(189\) 4.62230 + 2.66869i 0.336223 + 0.194118i
\(190\) −3.32470 12.4079i −0.241199 0.900167i
\(191\) −4.17710 7.23495i −0.302245 0.523503i 0.674400 0.738367i \(-0.264403\pi\)
−0.976644 + 0.214864i \(0.931069\pi\)
\(192\) 14.0945 + 3.77662i 1.01719 + 0.272554i
\(193\) −3.76192 3.76192i −0.270789 0.270789i 0.558629 0.829418i \(-0.311328\pi\)
−0.829418 + 0.558629i \(0.811328\pi\)
\(194\) −24.5965 24.5965i −1.76593 1.76593i
\(195\) 3.89976 2.25153i 0.279268 0.161235i
\(196\) 16.3446 9.43655i 1.16747 0.674039i
\(197\) −6.76382 + 1.81236i −0.481902 + 0.129125i −0.491588 0.870828i \(-0.663583\pi\)
0.00968600 + 0.999953i \(0.496917\pi\)
\(198\) 18.5667 4.97494i 1.31948 0.353554i
\(199\) 14.0335 14.0335i 0.994807 0.994807i −0.00517923 0.999987i \(-0.501649\pi\)
0.999987 + 0.00517923i \(0.00164861\pi\)
\(200\) 4.89216 8.47348i 0.345928 0.599165i
\(201\) 2.60451 + 9.72018i 0.183708 + 0.685609i
\(202\) 11.4783 + 6.62701i 0.807612 + 0.466275i
\(203\) 2.53560 + 4.39179i 0.177964 + 0.308243i
\(204\) −11.4011 9.02468i −0.798239 0.631854i
\(205\) −3.10018 5.36967i −0.216526 0.375034i
\(206\) 11.2806 + 6.51287i 0.785958 + 0.453773i
\(207\) 2.00403 2.00403i 0.139290 0.139290i
\(208\) −0.677526 + 1.17351i −0.0469780 + 0.0813682i
\(209\) −23.7003 6.35047i −1.63938 0.439271i
\(210\) −0.738829 + 2.75735i −0.0509840 + 0.190275i
\(211\) −11.9934 11.9934i −0.825660 0.825660i 0.161253 0.986913i \(-0.448447\pi\)
−0.986913 + 0.161253i \(0.948447\pi\)
\(212\) 24.8354 14.3387i 1.70570 0.984787i
\(213\) 8.01361i 0.549084i
\(214\) −25.2039 25.2039i −1.72290 1.72290i
\(215\) 4.95599 + 5.40825i 0.337996 + 0.368840i
\(216\) 9.80774 9.80774i 0.667332 0.667332i
\(217\) 1.76132 0.119566
\(218\) −29.2477 7.83689i −1.98090 0.530781i
\(219\) 15.7988i 1.06759i
\(220\) 8.54411 + 14.7988i 0.576044 + 0.997737i
\(221\) 11.8964 8.84671i 0.800236 0.595094i
\(222\) −1.24399 + 2.15465i −0.0834908 + 0.144610i
\(223\) 3.53101i 0.236454i 0.992987 + 0.118227i \(0.0377211\pi\)
−0.992987 + 0.118227i \(0.962279\pi\)
\(224\) −1.57938 5.89434i −0.105527 0.393832i
\(225\) 3.27381 + 5.67041i 0.218254 + 0.378028i
\(226\) −11.5632 + 11.5632i −0.769176 + 0.769176i
\(227\) 3.13145 11.6867i 0.207841 0.775675i −0.780723 0.624877i \(-0.785149\pi\)
0.988565 0.150798i \(-0.0481842\pi\)
\(228\) −17.2365 + 4.61850i −1.14151 + 0.305867i
\(229\) −17.9964 10.3902i −1.18923 0.686604i −0.231101 0.972930i \(-0.574233\pi\)
−0.958132 + 0.286325i \(0.907566\pi\)
\(230\) 3.56733 + 2.05960i 0.235223 + 0.135806i
\(231\) 3.85555 + 3.85555i 0.253676 + 0.253676i
\(232\) 12.7295 3.41086i 0.835732 0.223934i
\(233\) −5.14765 19.2113i −0.337234 1.25857i −0.901427 0.432931i \(-0.857479\pi\)
0.564193 0.825643i \(-0.309187\pi\)
\(234\) 7.12647 + 12.3434i 0.465872 + 0.806914i
\(235\) 8.61620 + 2.30870i 0.562059 + 0.150603i
\(236\) 41.4535i 2.69839i
\(237\) 13.5883 0.882655
\(238\) −1.36703 + 9.29820i −0.0886111 + 0.602713i
\(239\) 15.1147 + 26.1794i 0.977689 + 1.69341i 0.670759 + 0.741676i \(0.265969\pi\)
0.306931 + 0.951732i \(0.400698\pi\)
\(240\) −0.408732 0.235982i −0.0263835 0.0152325i
\(241\) 6.15456 + 22.9691i 0.396450 + 1.47957i 0.819297 + 0.573370i \(0.194364\pi\)
−0.422847 + 0.906201i \(0.638969\pi\)
\(242\) 28.3995 1.82559
\(243\) 3.92065 + 14.6321i 0.251510 + 0.938648i
\(244\) −17.4932 + 4.68729i −1.11989 + 0.300073i
\(245\) −6.47377 + 1.73464i −0.413594 + 0.110822i
\(246\) −12.1951 + 7.04084i −0.777530 + 0.448907i
\(247\) 18.1938i 1.15764i
\(248\) 1.18465 4.42117i 0.0752254 0.280745i
\(249\) 11.7036 3.13598i 0.741687 0.198735i
\(250\) −15.7049 + 15.7049i −0.993262 + 0.993262i
\(251\) 12.2165 21.1596i 0.771098 1.33558i −0.165864 0.986149i \(-0.553041\pi\)
0.936962 0.349432i \(-0.113625\pi\)
\(252\) −5.33826 1.43038i −0.336279 0.0901057i
\(253\) 6.81392 3.93402i 0.428387 0.247329i
\(254\) 42.5210 2.66800
\(255\) 3.08130 + 4.14349i 0.192959 + 0.259476i
\(256\) −13.4837 −0.842728
\(257\) 20.5268i 1.28043i 0.768196 + 0.640215i \(0.221155\pi\)
−0.768196 + 0.640215i \(0.778845\pi\)
\(258\) 12.2827 11.2556i 0.764687 0.700741i
\(259\) 0.983592 0.0611174
\(260\) −8.95973 + 8.95973i −0.555659 + 0.555659i
\(261\) −2.28253 + 8.51852i −0.141285 + 0.527283i
\(262\) −6.46371 6.46371i −0.399329 0.399329i
\(263\) −6.88131 + 3.97293i −0.424320 + 0.244981i −0.696924 0.717145i \(-0.745448\pi\)
0.272604 + 0.962126i \(0.412115\pi\)
\(264\) 12.2712 7.08479i 0.755241 0.436039i
\(265\) −9.83681 + 2.63576i −0.604270 + 0.161914i
\(266\) 8.15545 + 8.15545i 0.500043 + 0.500043i
\(267\) 2.61639 + 9.76451i 0.160121 + 0.597578i
\(268\) −14.1580 24.5225i −0.864840 1.49795i
\(269\) 6.76460 6.76460i 0.412445 0.412445i −0.470145 0.882589i \(-0.655798\pi\)
0.882589 + 0.470145i \(0.155798\pi\)
\(270\) −11.6832 + 6.74529i −0.711017 + 0.410506i
\(271\) 10.8096 18.7227i 0.656635 1.13732i −0.324847 0.945767i \(-0.605313\pi\)
0.981481 0.191558i \(-0.0613540\pi\)
\(272\) −1.42642 0.616197i −0.0864896 0.0373624i
\(273\) −2.02155 + 3.50142i −0.122350 + 0.211916i
\(274\) 4.88442i 0.295079i
\(275\) 4.70465 + 17.5580i 0.283701 + 1.05879i
\(276\) 2.86109 4.95555i 0.172217 0.298289i
\(277\) 3.62079 + 0.970189i 0.217552 + 0.0582930i 0.365949 0.930635i \(-0.380744\pi\)
−0.148396 + 0.988928i \(0.547411\pi\)
\(278\) −2.60435 + 9.71958i −0.156199 + 0.582942i
\(279\) 2.16587 + 2.16587i 0.129667 + 0.129667i
\(280\) 2.93274i 0.175265i
\(281\) −11.3548 + 6.55569i −0.677370 + 0.391079i −0.798863 0.601513i \(-0.794565\pi\)
0.121494 + 0.992592i \(0.461232\pi\)
\(282\) 5.24330 19.5683i 0.312234 1.16527i
\(283\) −26.9774 + 7.22858i −1.60364 + 0.429695i −0.946140 0.323758i \(-0.895054\pi\)
−0.657502 + 0.753453i \(0.728387\pi\)
\(284\) −5.83616 21.7808i −0.346312 1.29246i
\(285\) 6.33687 0.375364
\(286\) 10.2411 + 38.2204i 0.605571 + 2.26002i
\(287\) 4.82119 + 2.78352i 0.284586 + 0.164306i
\(288\) 5.30604 9.19034i 0.312662 0.541546i
\(289\) 11.6530 + 12.3777i 0.685469 + 0.728101i
\(290\) −12.8178 −0.752688
\(291\) 14.8606 8.57980i 0.871147 0.502957i
\(292\) −11.5060 42.9409i −0.673337 2.51293i
\(293\) −4.23650 −0.247499 −0.123750 0.992313i \(-0.539492\pi\)
−0.123750 + 0.992313i \(0.539492\pi\)
\(294\) 3.93955 + 14.7026i 0.229759 + 0.857473i
\(295\) 3.81003 14.2192i 0.221828 0.827874i
\(296\) 0.661557 2.46896i 0.0384522 0.143506i
\(297\) 25.7682i 1.49522i
\(298\) −19.8089 + 11.4367i −1.14750 + 0.662510i
\(299\) 4.12538 + 4.12538i 0.238577 + 0.238577i
\(300\) 9.34784 + 9.34784i 0.539698 + 0.539698i
\(301\) −6.28152 1.98039i −0.362061 0.114148i
\(302\) 42.4679 2.44376
\(303\) −4.62329 + 4.62329i −0.265601 + 0.265601i
\(304\) −1.65141 + 0.953440i −0.0947147 + 0.0546835i
\(305\) 6.43126 0.368253
\(306\) −13.1149 + 9.75285i −0.749727 + 0.557533i
\(307\) −4.81171 8.33413i −0.274619 0.475654i 0.695420 0.718603i \(-0.255218\pi\)
−0.970039 + 0.242950i \(0.921885\pi\)
\(308\) −13.2872 7.67138i −0.757110 0.437118i
\(309\) −4.54366 + 4.54366i −0.258480 + 0.258480i
\(310\) −2.22593 + 3.85542i −0.126424 + 0.218973i
\(311\) −16.1151 4.31802i −0.913801 0.244852i −0.228868 0.973458i \(-0.573502\pi\)
−0.684934 + 0.728605i \(0.740169\pi\)
\(312\) 7.42942 + 7.42942i 0.420608 + 0.420608i
\(313\) 0.696080 2.59781i 0.0393448 0.146837i −0.943459 0.331489i \(-0.892449\pi\)
0.982804 + 0.184652i \(0.0591158\pi\)
\(314\) 41.4567 + 23.9350i 2.33954 + 1.35073i
\(315\) 1.69964 + 0.981288i 0.0957639 + 0.0552893i
\(316\) −36.9327 + 9.89610i −2.07763 + 0.556699i
\(317\) 4.78895 + 4.78895i 0.268974 + 0.268974i 0.828687 0.559713i \(-0.189088\pi\)
−0.559713 + 0.828687i \(0.689088\pi\)
\(318\) 5.98609 + 22.3404i 0.335684 + 1.25279i
\(319\) −12.2416 + 21.2030i −0.685397 + 1.18714i
\(320\) 14.0839 + 3.77378i 0.787316 + 0.210961i
\(321\) 15.2276 8.79166i 0.849922 0.490703i
\(322\) −3.69845 −0.206106
\(323\) 20.7229 2.41101i 1.15305 0.134152i
\(324\) 1.11668 + 1.93415i 0.0620378 + 0.107453i
\(325\) −11.6728 + 6.73929i −0.647490 + 0.373829i
\(326\) 3.60031 + 13.4365i 0.199402 + 0.744180i
\(327\) 7.46855 12.9359i 0.413012 0.715357i
\(328\) 10.2298 10.2298i 0.564844 0.564844i
\(329\) −7.73610 + 2.07288i −0.426505 + 0.114282i
\(330\) −13.3121 + 3.56698i −0.732809 + 0.196356i
\(331\) −5.56950 3.21555i −0.306127 0.176743i 0.339065 0.940763i \(-0.389889\pi\)
−0.645192 + 0.764020i \(0.723223\pi\)
\(332\) −29.5264 + 17.0471i −1.62047 + 0.935579i
\(333\) 1.20951 + 1.20951i 0.0662807 + 0.0662807i
\(334\) 8.20929 30.6375i 0.449193 1.67641i
\(335\) 2.60255 + 9.71286i 0.142193 + 0.530670i
\(336\) 0.423755 0.0231177
\(337\) −6.22913 23.2474i −0.339322 1.26637i −0.899106 0.437730i \(-0.855783\pi\)
0.559784 0.828639i \(-0.310884\pi\)
\(338\) 0.140124 0.0809004i 0.00762172 0.00440040i
\(339\) −4.03351 6.98625i −0.219070 0.379441i
\(340\) −11.3925 9.01789i −0.617848 0.489064i
\(341\) 4.25172 + 7.36419i 0.230243 + 0.398793i
\(342\) 20.0573i 1.08457i
\(343\) 9.22659 9.22659i 0.498189 0.498189i
\(344\) −9.19598 + 14.4356i −0.495814 + 0.778314i
\(345\) −1.43687 + 1.43687i −0.0773583 + 0.0773583i
\(346\) −32.8125 32.8125i −1.76401 1.76401i
\(347\) −6.06337 + 22.6288i −0.325499 + 1.21478i 0.588311 + 0.808635i \(0.299793\pi\)
−0.913810 + 0.406143i \(0.866874\pi\)
\(348\) 17.8058i 0.954493i
\(349\) −6.52008 + 3.76437i −0.349012 + 0.201502i −0.664250 0.747511i \(-0.731249\pi\)
0.315238 + 0.949013i \(0.397916\pi\)
\(350\) 2.21147 8.25332i 0.118208 0.441158i
\(351\) −18.4561 + 4.94531i −0.985116 + 0.263961i
\(352\) 20.8321 20.8321i 1.11036 1.11036i
\(353\) 5.34007 9.24927i 0.284223 0.492289i −0.688197 0.725524i \(-0.741598\pi\)
0.972421 + 0.233235i \(0.0749310\pi\)
\(354\) −32.2933 8.65296i −1.71637 0.459900i
\(355\) 8.00758i 0.424998i
\(356\) −14.2226 24.6343i −0.753797 1.30561i
\(357\) −4.25605 1.83856i −0.225254 0.0973068i
\(358\) 0.725483 1.25657i 0.0383430 0.0664120i
\(359\) 12.7236 + 7.34597i 0.671525 + 0.387705i 0.796654 0.604435i \(-0.206601\pi\)
−0.125129 + 0.992140i \(0.539934\pi\)
\(360\) 3.60635 3.60635i 0.190071 0.190071i
\(361\) 3.30147 5.71831i 0.173761 0.300964i
\(362\) −2.93306 10.9463i −0.154158 0.575326i
\(363\) −3.62598 + 13.5323i −0.190315 + 0.710264i
\(364\) 2.94451 10.9891i 0.154334 0.575983i
\(365\) 15.7869i 0.826326i
\(366\) 14.6061i 0.763471i
\(367\) −9.70614 + 36.2238i −0.506657 + 1.89087i −0.0554214 + 0.998463i \(0.517650\pi\)
−0.451235 + 0.892405i \(0.649016\pi\)
\(368\) 0.158262 0.590641i 0.00824997 0.0307893i
\(369\) 2.50570 + 9.35141i 0.130442 + 0.486815i
\(370\) −1.24305 + 2.15302i −0.0646230 + 0.111930i
\(371\) 6.46550 6.46550i 0.335672 0.335672i
\(372\) 5.35575 + 3.09214i 0.277682 + 0.160320i
\(373\) 1.96536 3.40410i 0.101762 0.176258i −0.810648 0.585533i \(-0.800885\pi\)
0.912411 + 0.409276i \(0.134219\pi\)
\(374\) −42.1763 + 16.7297i −2.18088 + 0.865071i
\(375\) −5.47819 9.48851i −0.282893 0.489984i
\(376\) 20.8130i 1.07335i
\(377\) −17.5357 4.69869i −0.903137 0.241995i
\(378\) 6.05630 10.4898i 0.311503 0.539538i
\(379\) −18.8526 + 18.8526i −0.968393 + 0.968393i −0.999516 0.0311230i \(-0.990092\pi\)
0.0311230 + 0.999516i \(0.490092\pi\)
\(380\) −17.2235 + 4.61502i −0.883546 + 0.236746i
\(381\) −5.42897 + 20.2612i −0.278135 + 1.03801i
\(382\) −16.4190 + 9.47949i −0.840067 + 0.485013i
\(383\) 32.4957i 1.66045i −0.557428 0.830225i \(-0.688212\pi\)
0.557428 0.830225i \(-0.311788\pi\)
\(384\) 5.04987 18.8464i 0.257700 0.961750i
\(385\) 3.85264 + 3.85264i 0.196349 + 0.196349i
\(386\) −8.53727 + 8.53727i −0.434536 + 0.434536i
\(387\) −5.28904 10.1596i −0.268857 0.516439i
\(388\) −34.1425 + 34.1425i −1.73332 + 1.73332i
\(389\) 15.0230i 0.761698i 0.924637 + 0.380849i \(0.124368\pi\)
−0.924637 + 0.380849i \(0.875632\pi\)
\(390\) −5.10960 8.85009i −0.258735 0.448142i
\(391\) −4.15216 + 5.24554i −0.209984 + 0.265278i
\(392\) −7.81891 13.5427i −0.394914 0.684012i
\(393\) 3.90522 2.25468i 0.196993 0.113734i
\(394\) 4.11296 + 15.3498i 0.207208 + 0.773310i
\(395\) 13.5781 0.683187
\(396\) −6.90572 25.7725i −0.347026 1.29512i
\(397\) 2.45666 9.16836i 0.123296 0.460147i −0.876477 0.481443i \(-0.840113\pi\)
0.999773 + 0.0212964i \(0.00677937\pi\)
\(398\) −31.8475 31.8475i −1.59637 1.59637i
\(399\) −4.92733 + 2.84480i −0.246675 + 0.142418i
\(400\) 1.22342 + 0.706343i 0.0611711 + 0.0353171i
\(401\) 1.45621 0.390191i 0.0727199 0.0194852i −0.222276 0.974984i \(-0.571349\pi\)
0.294996 + 0.955499i \(0.404682\pi\)
\(402\) 22.0589 5.91067i 1.10020 0.294797i
\(403\) −4.45854 + 4.45854i −0.222096 + 0.222096i
\(404\) 9.19897 15.9331i 0.457666 0.792700i
\(405\) −0.205270 0.766078i −0.0102000 0.0380667i
\(406\) 9.96670 5.75428i 0.494639 0.285580i
\(407\) 2.37433 + 4.11246i 0.117691 + 0.203847i
\(408\) −7.47764 + 9.44672i −0.370199 + 0.467682i
\(409\) −19.8398 −0.981017 −0.490509 0.871436i \(-0.663189\pi\)
−0.490509 + 0.871436i \(0.663189\pi\)
\(410\) −12.1859 + 7.03554i −0.601819 + 0.347460i
\(411\) 2.32742 + 0.623631i 0.114803 + 0.0307615i
\(412\) 9.04053 15.6586i 0.445395 0.771446i
\(413\) 3.42085 + 12.7668i 0.168329 + 0.628213i
\(414\) −4.54793 4.54793i −0.223518 0.223518i
\(415\) 11.6948 3.13362i 0.574076 0.153823i
\(416\) 18.9187 + 10.9227i 0.927567 + 0.535531i
\(417\) −4.29886 2.48195i −0.210516 0.121541i
\(418\) −14.4117 + 53.7852i −0.704900 + 2.63072i
\(419\) 4.70594 + 4.70594i 0.229900 + 0.229900i 0.812651 0.582751i \(-0.198024\pi\)
−0.582751 + 0.812651i \(0.698024\pi\)
\(420\) 3.82748 + 1.02557i 0.186762 + 0.0500427i
\(421\) 9.62442 16.6700i 0.469065 0.812445i −0.530309 0.847804i \(-0.677924\pi\)
0.999375 + 0.0353592i \(0.0112575\pi\)
\(422\) −27.2178 + 27.2178i −1.32494 + 1.32494i
\(423\) −12.0620 6.96398i −0.586473 0.338600i
\(424\) −11.8807 20.5780i −0.576979 0.999357i
\(425\) −9.22298 12.4023i −0.447380 0.601602i
\(426\) 18.1860 0.881117
\(427\) −5.00073 + 2.88717i −0.242002 + 0.139720i
\(428\) −34.9855 + 34.9855i −1.69109 + 1.69109i
\(429\) −19.5196 −0.942414
\(430\) 12.2735 11.2471i 0.591878 0.542383i
\(431\) −7.53334 7.53334i −0.362868 0.362868i 0.502000 0.864868i \(-0.332598\pi\)
−0.864868 + 0.502000i \(0.832598\pi\)
\(432\) 1.41606 + 1.41606i 0.0681305 + 0.0681305i
\(433\) −7.98609 + 4.61077i −0.383787 + 0.221580i −0.679465 0.733708i \(-0.737788\pi\)
0.295678 + 0.955288i \(0.404455\pi\)
\(434\) 3.99713i 0.191868i
\(435\) 1.63655 6.10768i 0.0784665 0.292841i
\(436\) −10.8784 + 40.5988i −0.520981 + 1.94433i
\(437\) 2.12492 + 7.93031i 0.101649 + 0.379358i
\(438\) 35.8538 1.71316
\(439\) −4.49617 16.7799i −0.214591 0.800863i −0.986310 0.164900i \(-0.947270\pi\)
0.771720 0.635963i \(-0.219397\pi\)
\(440\) 12.2620 7.07946i 0.584567 0.337500i
\(441\) 10.4648 0.498322
\(442\) −20.0767 26.9976i −0.954950 1.28414i
\(443\) 2.74302 4.75106i 0.130325 0.225730i −0.793477 0.608600i \(-0.791731\pi\)
0.923802 + 0.382871i \(0.125065\pi\)
\(444\) 2.99087 + 1.72678i 0.141940 + 0.0819492i
\(445\) 2.61442 + 9.75716i 0.123936 + 0.462534i
\(446\) 8.01326 0.379439
\(447\) −2.92042 10.8991i −0.138131 0.515512i
\(448\) −12.6453 + 3.38831i −0.597437 + 0.160083i
\(449\) −6.08615 + 22.7138i −0.287223 + 1.07193i 0.659976 + 0.751287i \(0.270566\pi\)
−0.947199 + 0.320645i \(0.896100\pi\)
\(450\) 12.8684 7.42957i 0.606622 0.350234i
\(451\) 26.8770i 1.26559i
\(452\) 16.0510 + 16.0510i 0.754974 + 0.754974i
\(453\) −5.42220 + 20.2359i −0.254757 + 0.950767i
\(454\) −26.5218 7.10649i −1.24473 0.333524i
\(455\) −2.02003 + 3.49879i −0.0947002 + 0.164026i
\(456\) 3.82678 + 14.2817i 0.179205 + 0.668804i
\(457\) 26.0579i 1.21894i 0.792810 + 0.609469i \(0.208617\pi\)
−0.792810 + 0.609469i \(0.791383\pi\)
\(458\) −23.5795 + 40.8409i −1.10180 + 1.90837i
\(459\) −8.07853 20.3664i −0.377074 0.950621i
\(460\) 2.85893 4.95182i 0.133298 0.230880i
\(461\) −19.2252 + 11.0997i −0.895408 + 0.516964i −0.875708 0.482842i \(-0.839605\pi\)
−0.0197005 + 0.999806i \(0.506271\pi\)
\(462\) 8.74975 8.74975i 0.407075 0.407075i
\(463\) 18.9850 + 32.8829i 0.882306 + 1.52820i 0.848770 + 0.528762i \(0.177343\pi\)
0.0335359 + 0.999438i \(0.489323\pi\)
\(464\) 0.492468 + 1.83791i 0.0228622 + 0.0853230i
\(465\) −1.55290 1.55290i −0.0720142 0.0720142i
\(466\) −43.5980 + 11.6820i −2.01964 + 0.541160i
\(467\) 21.3058 12.3009i 0.985914 0.569218i 0.0818639 0.996644i \(-0.473913\pi\)
0.904051 + 0.427426i \(0.140579\pi\)
\(468\) 17.1339 9.89226i 0.792015 0.457270i
\(469\) −6.38403 6.38403i −0.294787 0.294787i
\(470\) 5.23936 19.5535i 0.241673 0.901938i
\(471\) −16.6981 + 16.6981i −0.769409 + 0.769409i
\(472\) 34.3474 1.58097
\(473\) −6.88309 31.0440i −0.316485 1.42741i
\(474\) 30.8372i 1.41640i
\(475\) −18.9676 −0.870292
\(476\) 12.9068 + 1.89757i 0.591584 + 0.0869750i
\(477\) 15.9011 0.728060
\(478\) 59.4115 34.3012i 2.71742 1.56890i
\(479\) 17.2129 + 4.61218i 0.786478 + 0.210736i 0.629639 0.776888i \(-0.283203\pi\)
0.156839 + 0.987624i \(0.449870\pi\)
\(480\) −3.80438 + 6.58937i −0.173645 + 0.300762i
\(481\) −2.48983 + 2.48983i −0.113526 + 0.113526i
\(482\) 52.1260 13.9671i 2.37427 0.636185i
\(483\) 0.472209 1.76231i 0.0214862 0.0801878i
\(484\) 39.4214i 1.79188i
\(485\) 14.8495 8.57334i 0.674279 0.389295i
\(486\) 33.2059 8.89750i 1.50625 0.403599i
\(487\) 24.6421 6.60283i 1.11664 0.299203i 0.347117 0.937822i \(-0.387161\pi\)
0.769523 + 0.638619i \(0.220494\pi\)
\(488\) 3.88378 + 14.4945i 0.175811 + 0.656134i
\(489\) −6.86217 −0.310318
\(490\) 3.93658 + 14.6915i 0.177837 + 0.663696i
\(491\) 5.27947 + 3.04810i 0.238259 + 0.137559i 0.614376 0.789013i \(-0.289408\pi\)
−0.376117 + 0.926572i \(0.622741\pi\)
\(492\) 9.77340 + 16.9280i 0.440619 + 0.763174i
\(493\) 3.02804 20.5960i 0.136376 0.927599i
\(494\) −41.2888 −1.85767
\(495\) 9.47508i 0.425873i
\(496\) 0.638340 + 0.171043i 0.0286623 + 0.00768004i
\(497\) −3.59483 6.22642i −0.161250 0.279293i
\(498\) −7.11677 26.5601i −0.318910 1.19019i
\(499\) 6.31447 1.69196i 0.282674 0.0757424i −0.114696 0.993401i \(-0.536589\pi\)
0.397371 + 0.917658i \(0.369923\pi\)
\(500\) 21.7999 + 21.7999i 0.974922 + 0.974922i
\(501\) 13.5506 + 7.82345i 0.605396 + 0.349526i
\(502\) −48.0194 27.7240i −2.14321 1.23738i
\(503\) 38.6536 10.3572i 1.72348 0.461804i 0.744813 0.667273i \(-0.232538\pi\)
0.978664 + 0.205468i \(0.0658718\pi\)
\(504\) −1.18518 + 4.42316i −0.0527922 + 0.197023i
\(505\) −4.61981 + 4.61981i −0.205579 + 0.205579i
\(506\) −8.92783 15.4635i −0.396891 0.687435i
\(507\) 0.0206583 + 0.0770980i 0.000917469 + 0.00342404i
\(508\) 59.0234i 2.61874i
\(509\) 2.90729 5.03558i 0.128864 0.223198i −0.794373 0.607430i \(-0.792200\pi\)
0.923237 + 0.384232i \(0.125534\pi\)
\(510\) 9.40322 6.99269i 0.416382 0.309641i
\(511\) −7.08720 12.2754i −0.313519 0.543031i
\(512\) 4.25692i 0.188131i
\(513\) −25.9722 6.95922i −1.14670 0.307257i
\(514\) 46.5835 2.05471
\(515\) −4.54024 + 4.54024i −0.200067 + 0.200067i
\(516\) −15.6239 17.0496i −0.687802 0.750568i
\(517\) −27.3414 27.3414i −1.20247 1.20247i
\(518\) 2.23216i 0.0980754i
\(519\) 19.8245 11.4457i 0.870201 0.502411i
\(520\) 7.42383 + 7.42383i 0.325556 + 0.325556i
\(521\) 5.35822 19.9971i 0.234748 0.876090i −0.743515 0.668720i \(-0.766843\pi\)
0.978262 0.207371i \(-0.0664907\pi\)
\(522\) 19.3319 + 5.17996i 0.846133 + 0.226721i
\(523\) −9.09683 + 15.7562i −0.397776 + 0.688969i −0.993451 0.114257i \(-0.963551\pi\)
0.595675 + 0.803226i \(0.296885\pi\)
\(524\) −8.97229 + 8.97229i −0.391956 + 0.391956i
\(525\) 3.65034 + 2.10753i 0.159314 + 0.0919800i
\(526\) 9.01613 + 15.6164i 0.393122 + 0.680907i
\(527\) −5.66915 4.48748i −0.246952 0.195478i
\(528\) 1.02292 + 1.77175i 0.0445168 + 0.0771054i
\(529\) 17.6386 + 10.1836i 0.766895 + 0.442767i
\(530\) 5.98159 + 22.3236i 0.259824 + 0.969675i
\(531\) −11.4926 + 19.9057i −0.498735 + 0.863835i
\(532\) 11.3206 11.3206i 0.490810 0.490810i
\(533\) −19.2503 + 5.15810i −0.833823 + 0.223422i
\(534\) 22.1595 5.93763i 0.958936 0.256946i
\(535\) 15.2161 8.78504i 0.657851 0.379810i
\(536\) −20.3187 + 11.7310i −0.877636 + 0.506703i
\(537\) 0.506129 + 0.506129i 0.0218411 + 0.0218411i
\(538\) −15.3515 15.3515i −0.661852 0.661852i
\(539\) 28.0621 + 7.51922i 1.20872 + 0.323876i
\(540\) 9.36315 + 16.2175i 0.402926 + 0.697888i
\(541\) −6.34590 23.6832i −0.272832 1.01822i −0.957281 0.289161i \(-0.906624\pi\)
0.684449 0.729061i \(-0.260043\pi\)
\(542\) −42.4892 24.5312i −1.82507 1.05370i
\(543\) 5.59040 0.239907
\(544\) −9.93401 + 22.9961i −0.425917 + 0.985948i
\(545\) 7.46293 12.9262i 0.319677 0.553696i
\(546\) 7.94611 + 4.58769i 0.340062 + 0.196335i
\(547\) 10.9975 + 2.94678i 0.470220 + 0.125995i 0.486145 0.873878i \(-0.338403\pi\)
−0.0159249 + 0.999873i \(0.505069\pi\)
\(548\) −6.78008 −0.289630
\(549\) −9.69964 2.59901i −0.413970 0.110923i
\(550\) 39.8460 10.6767i 1.69904 0.455257i
\(551\) −18.0648 18.0648i −0.769586 0.769586i
\(552\) −4.10605 2.37063i −0.174765 0.100901i
\(553\) −10.5578 + 6.09557i −0.448965 + 0.259210i
\(554\) 2.20174 8.21701i 0.0935430 0.349107i
\(555\) −0.867205 0.867205i −0.0368108 0.0368108i
\(556\) 13.4918 + 3.61511i 0.572178 + 0.153315i
\(557\) −24.7544 −1.04888 −0.524439 0.851448i \(-0.675725\pi\)
−0.524439 + 0.851448i \(0.675725\pi\)
\(558\) 4.91521 4.91521i 0.208077 0.208077i
\(559\) 20.9139 10.8877i 0.884564 0.460502i
\(560\) 0.423436 0.0178934
\(561\) −2.58671 22.2330i −0.109211 0.938677i
\(562\) 14.8774 + 25.7685i 0.627567 + 1.08698i
\(563\) 35.1043i 1.47947i −0.672899 0.739734i \(-0.734951\pi\)
0.672899 0.739734i \(-0.265049\pi\)
\(564\) −27.1627 7.27824i −1.14376 0.306469i
\(565\) −4.03048 6.98099i −0.169563 0.293692i
\(566\) 16.4045 + 61.2224i 0.689533 + 2.57337i
\(567\) 0.503525 + 0.503525i 0.0211461 + 0.0211461i
\(568\) −18.0471 + 4.83571i −0.757240 + 0.202902i
\(569\) −24.6459 + 14.2293i −1.03321 + 0.596525i −0.917903 0.396805i \(-0.870119\pi\)
−0.115308 + 0.993330i \(0.536785\pi\)
\(570\) 14.3808i 0.602347i
\(571\) −6.98469 + 26.0672i −0.292300 + 1.09088i 0.651038 + 0.759045i \(0.274334\pi\)
−0.943338 + 0.331834i \(0.892333\pi\)
\(572\) 53.0539 14.2157i 2.21829 0.594390i
\(573\) −2.42064 9.03394i −0.101124 0.377398i
\(574\) 6.31690 10.9412i 0.263662 0.456676i
\(575\) 4.30084 4.30084i 0.179358 0.179358i
\(576\) −19.7164 11.3832i −0.821515 0.474302i
\(577\) 21.6157 37.4395i 0.899874 1.55863i 0.0722196 0.997389i \(-0.476992\pi\)
0.827654 0.561238i \(-0.189675\pi\)
\(578\) 28.0899 26.4452i 1.16839 1.09998i
\(579\) −2.97799 5.15802i −0.123761 0.214360i
\(580\) 17.7924i 0.738791i
\(581\) −7.68673 + 7.68673i −0.318899 + 0.318899i
\(582\) −19.4709 33.7247i −0.807097 1.39793i
\(583\) 42.6400 + 11.4254i 1.76597 + 0.473190i
\(584\) −35.5799 + 9.53360i −1.47231 + 0.394503i
\(585\) −6.78640 + 1.81841i −0.280583 + 0.0751821i
\(586\) 9.61429i 0.397163i
\(587\) 4.98935 + 2.88060i 0.205932 + 0.118895i 0.599420 0.800435i \(-0.295398\pi\)
−0.393487 + 0.919330i \(0.628731\pi\)
\(588\) 20.4087 5.46849i 0.841640 0.225517i
\(589\) −8.57074 + 2.29652i −0.353151 + 0.0946266i
\(590\) −32.2690 8.64645i −1.32849 0.355969i
\(591\) −7.83929 −0.322465
\(592\) 0.356475 + 0.0955172i 0.0146510 + 0.00392573i
\(593\) −20.2825 11.7101i −0.832900 0.480875i 0.0219443 0.999759i \(-0.493014\pi\)
−0.854845 + 0.518884i \(0.826348\pi\)
\(594\) 58.4782 2.39939
\(595\) −4.25284 1.83717i −0.174350 0.0753168i
\(596\) 15.8753 + 27.4968i 0.650277 + 1.12631i
\(597\) 19.2415 11.1091i 0.787503 0.454665i
\(598\) 9.36211 9.36211i 0.382845 0.382845i
\(599\) −18.8864 32.7122i −0.771676 1.33658i −0.936644 0.350284i \(-0.886085\pi\)
0.164967 0.986299i \(-0.447248\pi\)
\(600\) 7.74541 7.74541i 0.316205 0.316205i
\(601\) −10.3759 10.3759i −0.423241 0.423241i 0.463077 0.886318i \(-0.346745\pi\)
−0.886318 + 0.463077i \(0.846745\pi\)
\(602\) −4.49428 + 14.2553i −0.183173 + 0.581001i
\(603\) 15.7007i 0.639382i
\(604\) 58.9498i 2.39863i
\(605\) −3.62325 + 13.5222i −0.147306 + 0.549754i
\(606\) 10.4921 + 10.4921i 0.426211 + 0.426211i
\(607\) 20.8171 + 5.57792i 0.844939 + 0.226401i 0.655221 0.755438i \(-0.272576\pi\)
0.189719 + 0.981838i \(0.439242\pi\)
\(608\) 15.3709 + 26.6231i 0.623371 + 1.07971i
\(609\) 1.46938 + 5.48382i 0.0595425 + 0.222216i
\(610\) 14.5951i 0.590937i
\(611\) 14.3357 24.8301i 0.579959 1.00452i
\(612\) 13.5379 + 18.2048i 0.547239 + 0.735884i
\(613\) 0.704088 0.0284379 0.0142189 0.999899i \(-0.495474\pi\)
0.0142189 + 0.999899i \(0.495474\pi\)
\(614\) −18.9134 + 10.9197i −0.763284 + 0.440682i
\(615\) −1.79656 6.70486i −0.0724443 0.270366i
\(616\) −6.35633 + 11.0095i −0.256104 + 0.443585i
\(617\) −0.0360318 0.134472i −0.00145058 0.00541365i 0.965197 0.261525i \(-0.0842253\pi\)
−0.966647 + 0.256111i \(0.917559\pi\)
\(618\) 10.3114 + 10.3114i 0.414784 + 0.414784i
\(619\) 14.0412 3.76232i 0.564362 0.151220i 0.0346527 0.999399i \(-0.488968\pi\)
0.529710 + 0.848179i \(0.322301\pi\)
\(620\) 5.35171 + 3.08981i 0.214930 + 0.124090i
\(621\) 7.46710 4.31113i 0.299644 0.173000i
\(622\) −9.79928 + 36.5714i −0.392916 + 1.46638i
\(623\) −6.41315 6.41315i −0.256937 0.256937i
\(624\) −1.07268 + 1.07268i −0.0429415 + 0.0429415i
\(625\) 3.89738 + 6.75047i 0.155895 + 0.270019i
\(626\) −5.89545 1.57968i −0.235630 0.0631367i
\(627\) −23.7886 13.7343i −0.950024 0.548497i
\(628\) 33.2243 57.5461i 1.32579 2.29634i
\(629\) −3.16589 2.50599i −0.126232 0.0999204i
\(630\) 2.22693 3.85715i 0.0887230 0.153673i
\(631\) −3.18868 1.84098i −0.126939 0.0732884i 0.435186 0.900341i \(-0.356683\pi\)
−0.562125 + 0.827052i \(0.690016\pi\)
\(632\) 8.19968 + 30.6016i 0.326166 + 1.21727i
\(633\) −9.49415 16.4443i −0.377358 0.653604i
\(634\) 10.8680 10.8680i 0.431624 0.431624i
\(635\) −5.42489 + 20.2460i −0.215280 + 0.803436i
\(636\) 31.0108 8.30931i 1.22966 0.329485i
\(637\) 21.5422i 0.853532i
\(638\) 48.1181 + 27.7810i 1.90501 + 1.09986i
\(639\) 3.23604 12.0770i 0.128016 0.477761i
\(640\) 5.04607 18.8322i 0.199463 0.744408i
\(641\) −10.6321 + 10.6321i −0.419942 + 0.419942i −0.885184 0.465242i \(-0.845967\pi\)
0.465242 + 0.885184i \(0.345967\pi\)
\(642\) −19.9517 34.5574i −0.787432 1.36387i
\(643\) 5.17306 5.17306i 0.204006 0.204006i −0.597708 0.801714i \(-0.703922\pi\)
0.801714 + 0.597708i \(0.203922\pi\)
\(644\) 5.13382i 0.202301i
\(645\) 3.79219 + 7.28429i 0.149317 + 0.286819i
\(646\) −5.47153 47.0283i −0.215275 1.85031i
\(647\) 17.5314 0.689230 0.344615 0.938744i \(-0.388010\pi\)
0.344615 + 0.938744i \(0.388010\pi\)
\(648\) 1.60259 0.925257i 0.0629557 0.0363475i
\(649\) −45.1211 + 45.1211i −1.77116 + 1.77116i
\(650\) 15.2941 + 26.4902i 0.599884 + 1.03903i
\(651\) 1.90463 + 0.510343i 0.0746482 + 0.0200019i
\(652\) 18.6513 4.99759i 0.730440 0.195721i
\(653\) −4.67338 4.67338i −0.182884 0.182884i 0.609728 0.792611i \(-0.291279\pi\)
−0.792611 + 0.609728i \(0.791279\pi\)
\(654\) −29.3567 16.9491i −1.14794 0.662761i
\(655\) 3.90228 2.25299i 0.152475 0.0880314i
\(656\) 1.47700 + 1.47700i 0.0576670 + 0.0576670i
\(657\) 6.37984 23.8099i 0.248901 0.928913i
\(658\) 4.70419 + 17.5563i 0.183388 + 0.684414i
\(659\) −11.7143 + 20.2898i −0.456324 + 0.790377i −0.998763 0.0497185i \(-0.984168\pi\)
0.542439 + 0.840095i \(0.317501\pi\)
\(660\) 4.95133 + 18.4786i 0.192730 + 0.719279i
\(661\) 34.1560i 1.32851i 0.747504 + 0.664257i \(0.231252\pi\)
−0.747504 + 0.664257i \(0.768748\pi\)
\(662\) −7.29735 + 12.6394i −0.283620 + 0.491244i
\(663\) 15.4277 6.11954i 0.599160 0.237663i
\(664\) 14.1248 + 24.4649i 0.548149 + 0.949421i
\(665\) −4.92362 + 2.84266i −0.190930 + 0.110233i
\(666\) 2.74485 2.74485i 0.106361 0.106361i
\(667\) 8.19228 0.317206
\(668\) −42.5280 11.3953i −1.64546 0.440899i
\(669\) −1.02311 + 3.81831i −0.0395559 + 0.147625i
\(670\) 22.0423 5.90622i 0.851569 0.228177i
\(671\) −24.1429 13.9389i −0.932027 0.538106i
\(672\) 6.83156i 0.263533i
\(673\) −6.06209 + 1.62433i −0.233677 + 0.0626134i −0.373757 0.927527i \(-0.621931\pi\)
0.140080 + 0.990140i \(0.455264\pi\)
\(674\) −52.7576 + 14.1364i −2.03215 + 0.544512i
\(675\) 5.15564 + 19.2411i 0.198441 + 0.740591i
\(676\) −0.112298 0.194506i −0.00431915 0.00748099i
\(677\) 19.1566 19.1566i 0.736250 0.736250i −0.235600 0.971850i \(-0.575706\pi\)
0.971850 + 0.235600i \(0.0757057\pi\)
\(678\) −15.8545 + 9.15363i −0.608890 + 0.351543i
\(679\) −7.69763 + 13.3327i −0.295408 + 0.511661i
\(680\) −7.47202 + 9.43960i −0.286539 + 0.361992i
\(681\) 6.77247 11.7303i 0.259522 0.449505i
\(682\) 16.7122 9.64882i 0.639945 0.369472i
\(683\) −10.1765 2.72679i −0.389394 0.104338i 0.0588098 0.998269i \(-0.481269\pi\)
−0.448204 + 0.893931i \(0.647936\pi\)
\(684\) 27.8415 1.06455
\(685\) 2.32567 + 0.623162i 0.0888594 + 0.0238098i
\(686\) −20.9388 20.9388i −0.799446 0.799446i
\(687\) −16.4501 16.4501i −0.627609 0.627609i
\(688\) −2.08424 1.32774i −0.0794611 0.0506196i
\(689\) 32.7331i 1.24703i
\(690\) 3.26081 + 3.26081i 0.124137 + 0.124137i
\(691\) −4.08829 + 15.2577i −0.155526 + 0.580431i 0.843534 + 0.537076i \(0.180471\pi\)
−0.999060 + 0.0433546i \(0.986195\pi\)
\(692\) −45.5471 + 45.5471i −1.73144 + 1.73144i
\(693\) −4.25363 7.36750i −0.161582 0.279868i
\(694\) 51.3537 + 13.7602i 1.94936 + 0.522329i
\(695\) −4.29562 2.48008i −0.162942 0.0940747i
\(696\) 14.7535 0.559230
\(697\) −8.42614 21.2427i −0.319163 0.804625i
\(698\) 8.54284 + 14.7966i 0.323351 + 0.560061i
\(699\) 22.2659i 0.842176i
\(700\) −11.4564 3.06974i −0.433013 0.116025i
\(701\) −4.29089 + 7.43204i −0.162065 + 0.280704i −0.935609 0.353038i \(-0.885149\pi\)
0.773544 + 0.633742i \(0.218482\pi\)
\(702\) 11.2229 + 41.8843i 0.423579 + 1.58082i
\(703\) −4.78625 + 1.28247i −0.180517 + 0.0483694i
\(704\) −44.6919 44.6919i −1.68439 1.68439i
\(705\) 8.64830 + 4.99310i 0.325714 + 0.188051i
\(706\) −20.9902 12.1187i −0.789978 0.456094i
\(707\) 1.51825 5.66617i 0.0570995 0.213098i
\(708\) −12.0112 + 44.8264i −0.451408 + 1.68468i
\(709\) −30.2861 + 30.2861i −1.13742 + 1.13742i −0.148506 + 0.988911i \(0.547447\pi\)
−0.988911 + 0.148506i \(0.952553\pi\)
\(710\) 18.1724 0.681996
\(711\) −20.4785 5.48719i −0.768003 0.205786i
\(712\) −20.4114 + 11.7845i −0.764950 + 0.441644i
\(713\) 1.42266 2.46412i 0.0532791 0.0922821i
\(714\) −4.17241 + 9.65864i −0.156149 + 0.361466i
\(715\) −19.5049 −0.729441
\(716\) −1.74425 1.00704i −0.0651858 0.0376350i
\(717\) 8.75900 + 32.6890i 0.327111 + 1.22079i
\(718\) 16.6709 28.8748i 0.622152 1.07760i
\(719\) −12.3247 3.30240i −0.459635 0.123159i 0.0215693 0.999767i \(-0.493134\pi\)
−0.481204 + 0.876609i \(0.659800\pi\)
\(720\) 0.520693 + 0.520693i 0.0194051 + 0.0194051i
\(721\) 1.49210 5.56858i 0.0555686 0.207385i
\(722\) −12.9771 7.49233i −0.482958 0.278836i
\(723\) 26.6213i 0.990056i
\(724\) −15.1946 + 4.07138i −0.564703 + 0.151312i
\(725\) −4.89853 + 18.2816i −0.181927 + 0.678961i
\(726\) 30.7102 + 8.22878i 1.13976 + 0.305399i
\(727\) 38.4186 1.42487 0.712433 0.701741i \(-0.247593\pi\)
0.712433 + 0.701741i \(0.247593\pi\)
\(728\) −9.10528 2.43975i −0.337464 0.0904232i
\(729\) 19.0855i 0.706871i
\(730\) 35.8268 1.32601
\(731\) 15.1727 + 22.3783i 0.561183 + 0.827692i
\(732\) −20.2747 −0.749374
\(733\) 6.50302i 0.240194i 0.992762 + 0.120097i \(0.0383206\pi\)
−0.992762 + 0.120097i \(0.961679\pi\)
\(734\) 82.2061 + 22.0271i 3.03428 + 0.813034i
\(735\) −7.50312 −0.276757
\(736\) −9.52202 2.55142i −0.350986 0.0940465i
\(737\) 11.2814 42.1028i 0.415556 1.55088i
\(738\) 21.2220 5.68642i 0.781194 0.209320i
\(739\) 0.874304i 0.0321618i 0.999871 + 0.0160809i \(0.00511893\pi\)
−0.999871 + 0.0160809i \(0.994881\pi\)
\(740\) 2.98862 + 1.72548i 0.109864 + 0.0634298i
\(741\) 5.27165 19.6741i 0.193659 0.722745i
\(742\) −14.6728 14.6728i −0.538654 0.538654i
\(743\) 7.73539 + 2.07269i 0.283784 + 0.0760397i 0.397903 0.917427i \(-0.369738\pi\)
−0.114119 + 0.993467i \(0.536405\pi\)
\(744\) 2.56208 4.43765i 0.0939303 0.162692i
\(745\) −2.91822 10.8909i −0.106915 0.399013i
\(746\) −7.72524 4.46017i −0.282841 0.163298i
\(747\) −18.9045 −0.691680
\(748\) 23.2225 + 58.5450i 0.849098 + 2.14062i
\(749\) −7.88770 + 13.6619i −0.288210 + 0.499195i
\(750\) −21.5332 + 12.4322i −0.786280 + 0.453959i
\(751\) −40.6328 10.8875i −1.48271 0.397291i −0.575442 0.817842i \(-0.695170\pi\)
−0.907269 + 0.420551i \(0.861837\pi\)
\(752\) −3.00503 −0.109582
\(753\) 19.3415 19.3415i 0.704843 0.704843i
\(754\) −10.6632 + 39.7955i −0.388330 + 1.44927i
\(755\) −5.41812 + 20.2207i −0.197186 + 0.735907i
\(756\) −14.5609 8.40676i −0.529576 0.305751i
\(757\) −2.61817 1.51160i −0.0951590 0.0549401i 0.451665