Properties

Label 105.2.s.c.101.2
Level 105
Weight 2
Character 105.101
Analytic conductor 0.838
Analytic rank 0
Dimension 8
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 105 = 3 \cdot 5 \cdot 7 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 105.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.838429221223\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(4\) over \(\Q(\zeta_{6})\)
Coefficient field: 8.0.856615824.2
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 101.2
Root \(1.07834i\)
Character \(\chi\) = 105.101
Dual form 105.2.s.c.26.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.933868 + 0.539169i) q^{2} +(0.918594 + 1.46840i) q^{3} +(-0.418594 + 0.725026i) q^{4} +(0.500000 + 0.866025i) q^{5} +(-1.64956 - 0.876010i) q^{6} +(-2.47720 - 0.929227i) q^{7} -3.05945i q^{8} +(-1.31237 + 2.69772i) q^{9} +O(q^{10})\) \(q+(-0.933868 + 0.539169i) q^{2} +(0.918594 + 1.46840i) q^{3} +(-0.418594 + 0.725026i) q^{4} +(0.500000 + 0.866025i) q^{5} +(-1.64956 - 0.876010i) q^{6} +(-2.47720 - 0.929227i) q^{7} -3.05945i q^{8} +(-1.31237 + 2.69772i) q^{9} +(-0.933868 - 0.539169i) q^{10} +(3.84494 + 2.21988i) q^{11} +(-1.44914 + 0.0513428i) q^{12} +0.955682i q^{13} +(2.81439 - 0.467856i) q^{14} +(-0.812371 + 1.52972i) q^{15} +(0.812371 + 1.40707i) q^{16} +(-0.253761 + 0.439527i) q^{17} +(-0.228945 - 3.22690i) q^{18} +(4.41107 - 2.54673i) q^{19} -0.837188 q^{20} +(-0.911072 - 4.49110i) q^{21} -4.78755 q^{22} +(3.72142 - 2.14856i) q^{23} +(4.49248 - 2.81039i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(-0.515274 - 0.892481i) q^{26} +(-5.16685 + 0.551027i) q^{27} +(1.71066 - 1.40707i) q^{28} -6.89526i q^{29} +(-0.0661321 - 1.86656i) q^{30} +(5.10397 + 2.94678i) q^{31} +(3.78182 + 2.18344i) q^{32} +(0.272280 + 7.68506i) q^{33} -0.547280i q^{34} +(-0.433868 - 2.60993i) q^{35} +(-1.40656 - 2.08075i) q^{36} +(-3.76353 - 6.51863i) q^{37} +(-2.74624 + 4.75663i) q^{38} +(-1.40332 + 0.877884i) q^{39} +(2.64956 - 1.52972i) q^{40} -4.65529 q^{41} +(3.27228 + 3.70287i) q^{42} -0.492478 q^{43} +(-3.21894 + 1.85845i) q^{44} +(-2.99248 + 0.212312i) q^{45} +(-2.31688 + 4.01295i) q^{46} +(3.32967 + 5.76715i) q^{47} +(-1.31989 + 2.48541i) q^{48} +(5.27308 + 4.60377i) q^{49} -1.07834i q^{50} +(-0.878503 + 0.0311252i) q^{51} +(-0.692894 - 0.400043i) q^{52} +(-7.90881 - 4.56616i) q^{53} +(4.52806 - 3.30039i) q^{54} +4.43975i q^{55} +(-2.84292 + 7.57887i) q^{56} +(7.79159 + 4.13778i) q^{57} +(3.71771 + 6.43926i) q^{58} +(-5.81439 + 10.0708i) q^{59} +(-0.769035 - 1.22932i) q^{60} +(0.399509 - 0.230657i) q^{61} -6.35524 q^{62} +(5.75780 - 5.46331i) q^{63} -7.95845 q^{64} +(-0.827645 + 0.477841i) q^{65} +(-4.39782 - 7.03002i) q^{66} +(1.85246 - 3.20856i) q^{67} +(-0.212446 - 0.367967i) q^{68} +(6.57342 + 3.49086i) q^{69} +(1.81237 + 2.20341i) q^{70} -7.90386i q^{71} +(8.25352 + 4.01513i) q^{72} +(-5.46846 - 3.15721i) q^{73} +(7.02929 + 4.05836i) q^{74} +(-1.73096 + 0.0613278i) q^{75} +4.26419i q^{76} +(-7.46193 - 9.07191i) q^{77} +(0.837188 - 1.57645i) q^{78} +(-7.38052 - 12.7834i) q^{79} +(-0.812371 + 1.40707i) q^{80} +(-5.55536 - 7.08081i) q^{81} +(4.34743 - 2.50999i) q^{82} +10.7916 q^{83} +(3.63753 + 1.21939i) q^{84} -0.507522 q^{85} +(0.459909 - 0.265529i) q^{86} +(10.1250 - 6.33394i) q^{87} +(6.79159 - 11.7634i) q^{88} +(-3.57713 - 6.19577i) q^{89} +(2.68011 - 1.81172i) q^{90} +(0.888045 - 2.36742i) q^{91} +3.59750i q^{92} +(0.361438 + 10.2015i) q^{93} +(-6.21894 - 3.59050i) q^{94} +(4.41107 + 2.54673i) q^{95} +(0.267811 + 7.55890i) q^{96} +6.91148i q^{97} +(-7.40656 - 1.45623i) q^{98} +(-11.0346 + 7.45926i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q - 3q^{2} + q^{3} + 3q^{4} + 4q^{5} + 5q^{6} + 2q^{7} - 5q^{9} + O(q^{10}) \) \( 8q - 3q^{2} + q^{3} + 3q^{4} + 4q^{5} + 5q^{6} + 2q^{7} - 5q^{9} - 3q^{10} - 9q^{12} - 12q^{14} - q^{15} + q^{16} - 12q^{17} - 19q^{18} + 9q^{19} + 6q^{20} + 19q^{21} - 40q^{22} + 27q^{23} + 16q^{24} - 4q^{25} - 6q^{26} + 4q^{27} + 3q^{28} - 5q^{30} - 21q^{31} + 21q^{32} + 2q^{33} + q^{35} + 9q^{36} + 7q^{37} - 12q^{38} - 3q^{39} + 3q^{40} - 30q^{41} + 26q^{42} + 16q^{43} - 4q^{45} - 7q^{46} - 6q^{47} - 25q^{48} - 4q^{49} - 6q^{51} + 30q^{52} + 24q^{53} + 17q^{54} - 21q^{56} + 6q^{57} - 13q^{58} - 12q^{59} - 18q^{60} + 15q^{61} + 24q^{62} - 2q^{63} + 38q^{64} - 3q^{65} + 22q^{66} + 4q^{67} - 13q^{69} + 9q^{70} - 14q^{72} + 15q^{73} + 54q^{74} - 2q^{75} - 36q^{77} - 6q^{78} - 29q^{79} - q^{80} - 41q^{81} + 27q^{82} + 30q^{83} - 3q^{84} - 24q^{85} + 9q^{86} + 32q^{87} - 2q^{88} - 3q^{89} + 7q^{90} - 3q^{91} - 9q^{93} - 24q^{94} + 9q^{95} - 3q^{96} - 39q^{98} - 34q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

\(n\) \(22\) \(31\) \(71\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.933868 + 0.539169i −0.660344 + 0.381250i −0.792408 0.609991i \(-0.791173\pi\)
0.132064 + 0.991241i \(0.457840\pi\)
\(3\) 0.918594 + 1.46840i 0.530350 + 0.847779i
\(4\) −0.418594 + 0.725026i −0.209297 + 0.362513i
\(5\) 0.500000 + 0.866025i 0.223607 + 0.387298i
\(6\) −1.64956 0.876010i −0.673429 0.357630i
\(7\) −2.47720 0.929227i −0.936295 0.351215i
\(8\) 3.05945i 1.08168i
\(9\) −1.31237 + 2.69772i −0.437457 + 0.899239i
\(10\) −0.933868 0.539169i −0.295315 0.170500i
\(11\) 3.84494 + 2.21988i 1.15929 + 0.669318i 0.951134 0.308777i \(-0.0999197\pi\)
0.208158 + 0.978095i \(0.433253\pi\)
\(12\) −1.44914 + 0.0513428i −0.418331 + 0.0148214i
\(13\) 0.955682i 0.265059i 0.991179 + 0.132529i \(0.0423099\pi\)
−0.991179 + 0.132529i \(0.957690\pi\)
\(14\) 2.81439 0.467856i 0.752178 0.125040i
\(15\) −0.812371 + 1.52972i −0.209753 + 0.394973i
\(16\) 0.812371 + 1.40707i 0.203093 + 0.351767i
\(17\) −0.253761 + 0.439527i −0.0615461 + 0.106601i −0.895157 0.445752i \(-0.852936\pi\)
0.833611 + 0.552353i \(0.186270\pi\)
\(18\) −0.228945 3.22690i −0.0539627 0.760588i
\(19\) 4.41107 2.54673i 1.01197 0.584261i 0.100202 0.994967i \(-0.468051\pi\)
0.911768 + 0.410706i \(0.134718\pi\)
\(20\) −0.837188 −0.187201
\(21\) −0.911072 4.49110i −0.198812 0.980038i
\(22\) −4.78755 −1.02071
\(23\) 3.72142 2.14856i 0.775970 0.448007i −0.0590300 0.998256i \(-0.518801\pi\)
0.835000 + 0.550250i \(0.185467\pi\)
\(24\) 4.49248 2.81039i 0.917023 0.573668i
\(25\) −0.500000 + 0.866025i −0.100000 + 0.173205i
\(26\) −0.515274 0.892481i −0.101054 0.175030i
\(27\) −5.16685 + 0.551027i −0.994361 + 0.106045i
\(28\) 1.71066 1.40707i 0.323283 0.265911i
\(29\) 6.89526i 1.28042i −0.768201 0.640209i \(-0.778848\pi\)
0.768201 0.640209i \(-0.221152\pi\)
\(30\) −0.0661321 1.86656i −0.0120740 0.340787i
\(31\) 5.10397 + 2.94678i 0.916699 + 0.529257i 0.882581 0.470161i \(-0.155804\pi\)
0.0341187 + 0.999418i \(0.489138\pi\)
\(32\) 3.78182 + 2.18344i 0.668538 + 0.385981i
\(33\) 0.272280 + 7.68506i 0.0473979 + 1.33780i
\(34\) 0.547280i 0.0938578i
\(35\) −0.433868 2.60993i −0.0733371 0.441159i
\(36\) −1.40656 2.08075i −0.234427 0.346792i
\(37\) −3.76353 6.51863i −0.618721 1.07166i −0.989719 0.143023i \(-0.954318\pi\)
0.370998 0.928634i \(-0.379016\pi\)
\(38\) −2.74624 + 4.75663i −0.445499 + 0.771627i
\(39\) −1.40332 + 0.877884i −0.224711 + 0.140574i
\(40\) 2.64956 1.52972i 0.418932 0.241870i
\(41\) −4.65529 −0.727034 −0.363517 0.931588i \(-0.618424\pi\)
−0.363517 + 0.931588i \(0.618424\pi\)
\(42\) 3.27228 + 3.70287i 0.504924 + 0.571365i
\(43\) −0.492478 −0.0751022 −0.0375511 0.999295i \(-0.511956\pi\)
−0.0375511 + 0.999295i \(0.511956\pi\)
\(44\) −3.21894 + 1.85845i −0.485273 + 0.280172i
\(45\) −2.99248 + 0.212312i −0.446092 + 0.0316497i
\(46\) −2.31688 + 4.01295i −0.341605 + 0.591677i
\(47\) 3.32967 + 5.76715i 0.485682 + 0.841225i 0.999865 0.0164553i \(-0.00523812\pi\)
−0.514183 + 0.857681i \(0.671905\pi\)
\(48\) −1.31989 + 2.48541i −0.190510 + 0.358737i
\(49\) 5.27308 + 4.60377i 0.753297 + 0.657681i
\(50\) 1.07834i 0.152500i
\(51\) −0.878503 + 0.0311252i −0.123015 + 0.00435840i
\(52\) −0.692894 0.400043i −0.0960871 0.0554759i
\(53\) −7.90881 4.56616i −1.08636 0.627210i −0.153754 0.988109i \(-0.549136\pi\)
−0.932605 + 0.360899i \(0.882470\pi\)
\(54\) 4.52806 3.30039i 0.616191 0.449127i
\(55\) 4.43975i 0.598656i
\(56\) −2.84292 + 7.57887i −0.379901 + 1.01277i
\(57\) 7.79159 + 4.13778i 1.03202 + 0.548063i
\(58\) 3.71771 + 6.43926i 0.488159 + 0.845517i
\(59\) −5.81439 + 10.0708i −0.756969 + 1.31111i 0.187420 + 0.982280i \(0.439987\pi\)
−0.944389 + 0.328829i \(0.893346\pi\)
\(60\) −0.769035 1.22932i −0.0992820 0.158705i
\(61\) 0.399509 0.230657i 0.0511519 0.0295326i −0.474206 0.880414i \(-0.657265\pi\)
0.525358 + 0.850881i \(0.323931\pi\)
\(62\) −6.35524 −0.807116
\(63\) 5.75780 5.46331i 0.725415 0.688312i
\(64\) −7.95845 −0.994806
\(65\) −0.827645 + 0.477841i −0.102657 + 0.0592689i
\(66\) −4.39782 7.03002i −0.541334 0.865336i
\(67\) 1.85246 3.20856i 0.226314 0.391988i −0.730399 0.683021i \(-0.760666\pi\)
0.956713 + 0.291033i \(0.0939991\pi\)
\(68\) −0.212446 0.367967i −0.0257628 0.0446225i
\(69\) 6.57342 + 3.49086i 0.791346 + 0.420250i
\(70\) 1.81237 + 2.20341i 0.216620 + 0.263357i
\(71\) 7.90386i 0.938015i −0.883194 0.469008i \(-0.844612\pi\)
0.883194 0.469008i \(-0.155388\pi\)
\(72\) 8.25352 + 4.01513i 0.972687 + 0.473187i
\(73\) −5.46846 3.15721i −0.640034 0.369524i 0.144593 0.989491i \(-0.453813\pi\)
−0.784628 + 0.619967i \(0.787146\pi\)
\(74\) 7.02929 + 4.05836i 0.817138 + 0.471775i
\(75\) −1.73096 + 0.0613278i −0.199875 + 0.00708152i
\(76\) 4.26419i 0.489136i
\(77\) −7.46193 9.07191i −0.850366 1.03384i
\(78\) 0.837188 1.57645i 0.0947928 0.178498i
\(79\) −7.38052 12.7834i −0.830374 1.43825i −0.897742 0.440521i \(-0.854794\pi\)
0.0673684 0.997728i \(-0.478540\pi\)
\(80\) −0.812371 + 1.40707i −0.0908258 + 0.157315i
\(81\) −5.55536 7.08081i −0.617263 0.786757i
\(82\) 4.34743 2.50999i 0.480093 0.277182i
\(83\) 10.7916 1.18453 0.592266 0.805743i \(-0.298234\pi\)
0.592266 + 0.805743i \(0.298234\pi\)
\(84\) 3.63753 + 1.21939i 0.396887 + 0.133047i
\(85\) −0.507522 −0.0550485
\(86\) 0.459909 0.265529i 0.0495933 0.0286327i
\(87\) 10.1250 6.33394i 1.08551 0.679070i
\(88\) 6.79159 11.7634i 0.723986 1.25398i
\(89\) −3.57713 6.19577i −0.379175 0.656750i 0.611768 0.791038i \(-0.290459\pi\)
−0.990942 + 0.134287i \(0.957125\pi\)
\(90\) 2.68011 1.81172i 0.282508 0.190972i
\(91\) 0.888045 2.36742i 0.0930925 0.248173i
\(92\) 3.59750i 0.375066i
\(93\) 0.361438 + 10.2015i 0.0374794 + 1.05785i
\(94\) −6.21894 3.59050i −0.641434 0.370332i
\(95\) 4.41107 + 2.54673i 0.452566 + 0.261289i
\(96\) 0.267811 + 7.55890i 0.0273333 + 0.771477i
\(97\) 6.91148i 0.701755i 0.936421 + 0.350877i \(0.114117\pi\)
−0.936421 + 0.350877i \(0.885883\pi\)
\(98\) −7.40656 1.45623i −0.748176 0.147102i
\(99\) −11.0346 + 7.45926i −1.10902 + 0.749684i
\(100\) −0.418594 0.725026i −0.0418594 0.0725026i
\(101\) 1.19538 2.07046i 0.118945 0.206019i −0.800405 0.599460i \(-0.795382\pi\)
0.919350 + 0.393441i \(0.128715\pi\)
\(102\) 0.803624 0.502728i 0.0795706 0.0497775i
\(103\) −12.9577 + 7.48110i −1.27676 + 0.737135i −0.976250 0.216645i \(-0.930489\pi\)
−0.300505 + 0.953780i \(0.597155\pi\)
\(104\) 2.92386 0.286708
\(105\) 3.43387 3.03456i 0.335111 0.296143i
\(106\) 9.84772 0.956495
\(107\) 11.7445 6.78072i 1.13539 0.655517i 0.190104 0.981764i \(-0.439118\pi\)
0.945284 + 0.326247i \(0.105784\pi\)
\(108\) 1.76330 3.97676i 0.169674 0.382664i
\(109\) −8.06063 + 13.9614i −0.772068 + 1.33726i 0.164359 + 0.986401i \(0.447444\pi\)
−0.936428 + 0.350861i \(0.885889\pi\)
\(110\) −2.39378 4.14614i −0.228238 0.395319i
\(111\) 6.11477 11.5143i 0.580388 1.09289i
\(112\) −0.704923 4.24047i −0.0666090 0.400687i
\(113\) 5.05678i 0.475702i 0.971302 + 0.237851i \(0.0764429\pi\)
−0.971302 + 0.237851i \(0.923557\pi\)
\(114\) −9.50729 + 0.336841i −0.890439 + 0.0315481i
\(115\) 3.72142 + 2.14856i 0.347024 + 0.200355i
\(116\) 4.99924 + 2.88631i 0.464168 + 0.267987i
\(117\) −2.57816 1.25421i −0.238351 0.115952i
\(118\) 12.5398i 1.15438i
\(119\) 1.03704 0.852997i 0.0950651 0.0781941i
\(120\) 4.68011 + 2.48541i 0.427233 + 0.226885i
\(121\) 4.35571 + 7.54431i 0.395973 + 0.685846i
\(122\) −0.248726 + 0.430806i −0.0225186 + 0.0390033i
\(123\) −4.27632 6.83581i −0.385583 0.616364i
\(124\) −4.27298 + 2.46700i −0.383725 + 0.221544i
\(125\) −1.00000 −0.0894427
\(126\) −2.43138 + 8.20643i −0.216605 + 0.731087i
\(127\) 8.05009 0.714330 0.357165 0.934041i \(-0.383743\pi\)
0.357165 + 0.934041i \(0.383743\pi\)
\(128\) −0.131506 + 0.0759250i −0.0116236 + 0.00671089i
\(129\) −0.452387 0.723152i −0.0398305 0.0636700i
\(130\) 0.515274 0.892481i 0.0451925 0.0782758i
\(131\) −1.04963 1.81802i −0.0917069 0.158841i 0.816523 0.577314i \(-0.195899\pi\)
−0.908229 + 0.418473i \(0.862566\pi\)
\(132\) −5.68584 3.01951i −0.494889 0.262814i
\(133\) −13.2936 + 2.20989i −1.15270 + 0.191622i
\(134\) 3.99516i 0.345129i
\(135\) −3.06063 4.19911i −0.263417 0.361402i
\(136\) 1.34471 + 0.776369i 0.115308 + 0.0665731i
\(137\) −4.28431 2.47355i −0.366033 0.211329i 0.305691 0.952131i \(-0.401113\pi\)
−0.671724 + 0.740801i \(0.734446\pi\)
\(138\) −8.02087 + 0.284178i −0.682782 + 0.0241908i
\(139\) 10.7217i 0.909406i −0.890643 0.454703i \(-0.849745\pi\)
0.890643 0.454703i \(-0.150255\pi\)
\(140\) 2.07388 + 0.777937i 0.175275 + 0.0657477i
\(141\) −5.40985 + 10.1869i −0.455591 + 0.857895i
\(142\) 4.26151 + 7.38116i 0.357618 + 0.619413i
\(143\) −2.12150 + 3.67454i −0.177408 + 0.307281i
\(144\) −4.86200 + 0.344953i −0.405167 + 0.0287461i
\(145\) 5.97147 3.44763i 0.495904 0.286310i
\(146\) 6.80909 0.563524
\(147\) −1.91634 + 11.9720i −0.158057 + 0.987430i
\(148\) 6.30157 0.517986
\(149\) −4.55837 + 2.63178i −0.373436 + 0.215604i −0.674959 0.737855i \(-0.735839\pi\)
0.301522 + 0.953459i \(0.402505\pi\)
\(150\) 1.58343 0.990554i 0.129286 0.0808784i
\(151\) 3.50451 6.06998i 0.285193 0.493968i −0.687463 0.726219i \(-0.741276\pi\)
0.972656 + 0.232251i \(0.0746091\pi\)
\(152\) −7.79159 13.4954i −0.631982 1.09462i
\(153\) −0.852692 1.26140i −0.0689360 0.101978i
\(154\) 11.8597 + 4.44872i 0.955686 + 0.358488i
\(155\) 5.89355i 0.473381i
\(156\) −0.0490674 1.38492i −0.00392854 0.110882i
\(157\) 2.51156 + 1.45005i 0.200445 + 0.115727i 0.596863 0.802343i \(-0.296414\pi\)
−0.396418 + 0.918070i \(0.629747\pi\)
\(158\) 13.7849 + 7.95870i 1.09667 + 0.633160i
\(159\) −0.560064 15.8077i −0.0444160 1.25363i
\(160\) 4.36687i 0.345232i
\(161\) −11.2152 + 1.86439i −0.883883 + 0.146934i
\(162\) 9.00573 + 3.61726i 0.707557 + 0.284199i
\(163\) 6.37930 + 11.0493i 0.499665 + 0.865446i 1.00000 0.000386523i \(-0.000123034\pi\)
−0.500335 + 0.865832i \(0.666790\pi\)
\(164\) 1.94868 3.37521i 0.152166 0.263559i
\(165\) −6.51931 + 4.07833i −0.507528 + 0.317498i
\(166\) −10.0779 + 5.81849i −0.782199 + 0.451603i
\(167\) 15.7766 1.22083 0.610413 0.792083i \(-0.291003\pi\)
0.610413 + 0.792083i \(0.291003\pi\)
\(168\) −13.7403 + 2.78737i −1.06008 + 0.215051i
\(169\) 12.0867 0.929744
\(170\) 0.473959 0.273640i 0.0363510 0.0209872i
\(171\) 1.08141 + 15.2421i 0.0826972 + 1.16559i
\(172\) 0.206148 0.357059i 0.0157186 0.0272255i
\(173\) 5.08667 + 8.81037i 0.386732 + 0.669840i 0.992008 0.126176i \(-0.0402704\pi\)
−0.605275 + 0.796016i \(0.706937\pi\)
\(174\) −6.04032 + 11.3741i −0.457916 + 0.862271i
\(175\) 2.04334 1.68071i 0.154462 0.127050i
\(176\) 7.21345i 0.543735i
\(177\) −20.1290 + 0.713167i −1.51299 + 0.0536049i
\(178\) 6.68113 + 3.85735i 0.500772 + 0.289121i
\(179\) −4.55716 2.63107i −0.340618 0.196656i 0.319927 0.947442i \(-0.396341\pi\)
−0.660545 + 0.750786i \(0.729675\pi\)
\(180\) 1.09870 2.25850i 0.0818923 0.168338i
\(181\) 9.71314i 0.721972i −0.932571 0.360986i \(-0.882440\pi\)
0.932571 0.360986i \(-0.117560\pi\)
\(182\) 0.447122 + 2.68966i 0.0331429 + 0.199371i
\(183\) 0.705682 + 0.374757i 0.0521655 + 0.0277029i
\(184\) −6.57342 11.3855i −0.484599 0.839350i
\(185\) 3.76353 6.51863i 0.276700 0.479259i
\(186\) −5.83788 9.33201i −0.428054 0.684256i
\(187\) −1.95139 + 1.12664i −0.142700 + 0.0823878i
\(188\) −5.57511 −0.406607
\(189\) 13.3114 + 3.43617i 0.968260 + 0.249945i
\(190\) −5.49248 −0.398466
\(191\) 8.30561 4.79524i 0.600973 0.346972i −0.168451 0.985710i \(-0.553877\pi\)
0.769424 + 0.638738i \(0.220543\pi\)
\(192\) −7.31058 11.6861i −0.527596 0.843375i
\(193\) −4.17583 + 7.23275i −0.300583 + 0.520625i −0.976268 0.216566i \(-0.930515\pi\)
0.675685 + 0.737190i \(0.263848\pi\)
\(194\) −3.72646 6.45441i −0.267544 0.463400i
\(195\) −1.46193 0.776369i −0.104691 0.0555969i
\(196\) −5.54513 + 1.89601i −0.396080 + 0.135429i
\(197\) 1.77574i 0.126516i −0.997997 0.0632580i \(-0.979851\pi\)
0.997997 0.0632580i \(-0.0201491\pi\)
\(198\) 6.28305 12.9155i 0.446517 0.917863i
\(199\) −3.25502 1.87929i −0.230742 0.133219i 0.380172 0.924916i \(-0.375865\pi\)
−0.610915 + 0.791697i \(0.709198\pi\)
\(200\) 2.64956 + 1.52972i 0.187352 + 0.108168i
\(201\) 6.41309 0.227215i 0.452345 0.0160265i
\(202\) 2.57805i 0.181391i
\(203\) −6.40726 + 17.0810i −0.449702 + 1.19885i
\(204\) 0.345169 0.649966i 0.0241667 0.0455067i
\(205\) −2.32765 4.03160i −0.162570 0.281579i
\(206\) 8.06716 13.9727i 0.562065 0.973526i
\(207\) 0.912334 + 12.8591i 0.0634116 + 0.893767i
\(208\) −1.34471 + 0.776369i −0.0932388 + 0.0538315i
\(209\) 22.6137 1.56422
\(210\) −1.57064 + 4.68531i −0.108384 + 0.323317i
\(211\) −9.12126 −0.627933 −0.313967 0.949434i \(-0.601658\pi\)
−0.313967 + 0.949434i \(0.601658\pi\)
\(212\) 6.62116 3.82273i 0.454743 0.262546i
\(213\) 11.6060 7.26043i 0.795229 0.497477i
\(214\) −7.31190 + 12.6646i −0.499831 + 0.865734i
\(215\) −0.246239 0.426498i −0.0167934 0.0290869i
\(216\) 1.68584 + 15.8077i 0.114707 + 1.07558i
\(217\) −9.90534 12.0425i −0.672418 0.817499i
\(218\) 17.3842i 1.17740i
\(219\) −0.387250 10.9301i −0.0261679 0.738585i
\(220\) −3.21894 1.85845i −0.217021 0.125297i
\(221\) −0.420048 0.242515i −0.0282555 0.0163133i
\(222\) 0.497780 + 14.0498i 0.0334088 + 0.942958i
\(223\) 11.7397i 0.786146i −0.919507 0.393073i \(-0.871412\pi\)
0.919507 0.393073i \(-0.128588\pi\)
\(224\) −7.33944 8.92299i −0.490387 0.596192i
\(225\) −1.68011 2.48541i −0.112007 0.165694i
\(226\) −2.72646 4.72236i −0.181361 0.314127i
\(227\) −12.1105 + 20.9760i −0.803802 + 1.39223i 0.113295 + 0.993561i \(0.463859\pi\)
−0.917097 + 0.398664i \(0.869474\pi\)
\(228\) −6.26151 + 3.91706i −0.414679 + 0.259413i
\(229\) 18.8003 10.8544i 1.24236 0.717278i 0.272787 0.962075i \(-0.412055\pi\)
0.969574 + 0.244797i \(0.0787213\pi\)
\(230\) −4.63376 −0.305541
\(231\) 6.46667 19.2905i 0.425475 1.26922i
\(232\) −21.0957 −1.38500
\(233\) 9.52303 5.49812i 0.623874 0.360194i −0.154502 0.987993i \(-0.549377\pi\)
0.778376 + 0.627799i \(0.216044\pi\)
\(234\) 3.08389 0.218798i 0.201600 0.0143033i
\(235\) −3.32967 + 5.76715i −0.217203 + 0.376207i
\(236\) −4.86774 8.43117i −0.316863 0.548822i
\(237\) 11.9914 22.5803i 0.778928 1.46675i
\(238\) −0.508547 + 1.35572i −0.0329642 + 0.0878786i
\(239\) 9.02649i 0.583875i 0.956437 + 0.291938i \(0.0942999\pi\)
−0.956437 + 0.291938i \(0.905700\pi\)
\(240\) −2.81237 + 0.0996418i −0.181538 + 0.00643185i
\(241\) −4.40027 2.54050i −0.283446 0.163648i 0.351536 0.936174i \(-0.385659\pi\)
−0.634982 + 0.772527i \(0.718993\pi\)
\(242\) −8.13531 4.69692i −0.522958 0.301930i
\(243\) 5.29431 14.6619i 0.339630 0.940559i
\(244\) 0.386206i 0.0247243i
\(245\) −1.35044 + 6.86850i −0.0862765 + 0.438812i
\(246\) 7.67917 + 4.07808i 0.489606 + 0.260009i
\(247\) 2.43387 + 4.21558i 0.154863 + 0.268231i
\(248\) 9.01550 15.6153i 0.572485 0.991573i
\(249\) 9.91309 + 15.8463i 0.628217 + 1.00422i
\(250\) 0.933868 0.539169i 0.0590630 0.0341000i
\(251\) −18.6748 −1.17875 −0.589373 0.807861i \(-0.700625\pi\)
−0.589373 + 0.807861i \(0.700625\pi\)
\(252\) 1.55086 + 6.46146i 0.0976949 + 0.407034i
\(253\) 19.0782 1.19944
\(254\) −7.51772 + 4.34036i −0.471704 + 0.272338i
\(255\) −0.466207 0.745243i −0.0291950 0.0466689i
\(256\) 8.04032 13.9262i 0.502520 0.870390i
\(257\) 6.04132 + 10.4639i 0.376847 + 0.652718i 0.990602 0.136779i \(-0.0436750\pi\)
−0.613755 + 0.789497i \(0.710342\pi\)
\(258\) 0.812371 + 0.431416i 0.0505760 + 0.0268588i
\(259\) 3.26575 + 19.6452i 0.202924 + 1.22069i
\(260\) 0.800085i 0.0496192i
\(261\) 18.6015 + 9.04914i 1.15140 + 0.560128i
\(262\) 1.96044 + 1.13186i 0.121116 + 0.0699265i
\(263\) −11.1611 6.44388i −0.688224 0.397346i 0.114722 0.993398i \(-0.463402\pi\)
−0.802946 + 0.596051i \(0.796736\pi\)
\(264\) 23.5120 0.833027i 1.44706 0.0512693i
\(265\) 9.13231i 0.560993i
\(266\) 11.2230 9.23125i 0.688125 0.566004i
\(267\) 5.81191 10.9440i 0.355683 0.669764i
\(268\) 1.55086 + 2.68616i 0.0947337 + 0.164084i
\(269\) 0.233222 0.403952i 0.0142198 0.0246294i −0.858828 0.512264i \(-0.828807\pi\)
0.873048 + 0.487635i \(0.162140\pi\)
\(270\) 5.12226 + 2.27122i 0.311731 + 0.138222i
\(271\) −20.1703 + 11.6453i −1.22526 + 0.707404i −0.966035 0.258413i \(-0.916801\pi\)
−0.259225 + 0.965817i \(0.583467\pi\)
\(272\) −0.824593 −0.0499983
\(273\) 4.29206 0.870695i 0.259767 0.0526969i
\(274\) 5.33464 0.322277
\(275\) −3.84494 + 2.21988i −0.231859 + 0.133864i
\(276\) −5.28256 + 3.30464i −0.317973 + 0.198916i
\(277\) 6.94543 12.0298i 0.417310 0.722803i −0.578357 0.815783i \(-0.696306\pi\)
0.995668 + 0.0929805i \(0.0296394\pi\)
\(278\) 5.78083 + 10.0127i 0.346711 + 0.600521i
\(279\) −14.6479 + 9.90180i −0.876945 + 0.592805i
\(280\) −7.98496 + 1.32740i −0.477192 + 0.0793271i
\(281\) 6.85483i 0.408925i −0.978874 0.204462i \(-0.934455\pi\)
0.978874 0.204462i \(-0.0655446\pi\)
\(282\) −0.440395 12.4301i −0.0262252 0.740200i
\(283\) 3.84212 + 2.21825i 0.228391 + 0.131861i 0.609829 0.792533i \(-0.291238\pi\)
−0.381439 + 0.924394i \(0.624571\pi\)
\(284\) 5.73050 + 3.30850i 0.340043 + 0.196324i
\(285\) 0.312371 + 8.81661i 0.0185033 + 0.522251i
\(286\) 4.57538i 0.270548i
\(287\) 11.5321 + 4.32582i 0.680718 + 0.255345i
\(288\) −10.8534 + 7.33681i −0.639546 + 0.432326i
\(289\) 8.37121 + 14.4994i 0.492424 + 0.852904i
\(290\) −3.71771 + 6.43926i −0.218311 + 0.378127i
\(291\) −10.1488 + 6.34885i −0.594933 + 0.372176i
\(292\) 4.57812 2.64318i 0.267914 0.154680i
\(293\) −30.0822 −1.75742 −0.878709 0.477357i \(-0.841595\pi\)
−0.878709 + 0.477357i \(0.841595\pi\)
\(294\) −4.66530 12.2135i −0.272086 0.712303i
\(295\) −11.6288 −0.677054
\(296\) −19.9434 + 11.5143i −1.15919 + 0.669257i
\(297\) −21.0894 9.35111i −1.22373 0.542606i
\(298\) 2.83795 4.91547i 0.164398 0.284745i
\(299\) 2.05334 + 3.55650i 0.118748 + 0.205678i
\(300\) 0.680107 1.28067i 0.0392660 0.0739392i
\(301\) 1.21997 + 0.457623i 0.0703178 + 0.0263770i
\(302\) 7.55808i 0.434919i
\(303\) 4.13832 0.146620i 0.237741 0.00842311i
\(304\) 7.16685 + 4.13778i 0.411047 + 0.237318i
\(305\) 0.399509 + 0.230657i 0.0228758 + 0.0132074i
\(306\) 1.47641 + 0.718235i 0.0844006 + 0.0410588i
\(307\) 32.8300i 1.87371i 0.349722 + 0.936853i \(0.386276\pi\)
−0.349722 + 0.936853i \(0.613724\pi\)
\(308\) 9.70088 1.61265i 0.552759 0.0918891i
\(309\) −22.8880 12.1549i −1.30206 0.691466i
\(310\) −3.17762 5.50380i −0.180477 0.312595i
\(311\) −8.23073 + 14.2560i −0.466722 + 0.808386i −0.999277 0.0380092i \(-0.987898\pi\)
0.532556 + 0.846395i \(0.321232\pi\)
\(312\) 2.68584 + 4.29338i 0.152056 + 0.243065i
\(313\) −3.99102 + 2.30422i −0.225586 + 0.130242i −0.608534 0.793528i \(-0.708242\pi\)
0.382948 + 0.923770i \(0.374909\pi\)
\(314\) −3.12729 −0.176483
\(315\) 7.61026 + 2.25475i 0.428790 + 0.127041i
\(316\) 12.3578 0.695179
\(317\) −25.4873 + 14.7151i −1.43151 + 0.826481i −0.997236 0.0743007i \(-0.976328\pi\)
−0.434272 + 0.900782i \(0.642994\pi\)
\(318\) 9.04605 + 14.4603i 0.507277 + 0.810896i
\(319\) 15.3066 26.5119i 0.857007 1.48438i
\(320\) −3.97922 6.89222i −0.222445 0.385287i
\(321\) 20.7452 + 11.0169i 1.15789 + 0.614904i
\(322\) 9.46832 7.78799i 0.527649 0.434008i
\(323\) 2.58505i 0.143836i
\(324\) 7.45921 1.06380i 0.414401 0.0590999i
\(325\) −0.827645 0.477841i −0.0459095 0.0265059i
\(326\) −11.9148 6.87904i −0.659902 0.380995i
\(327\) −27.9053 + 0.988681i −1.54317 + 0.0546742i
\(328\) 14.2426i 0.786417i
\(329\) −2.88927 17.3804i −0.159291 0.958213i
\(330\) 3.88927 7.32363i 0.214097 0.403153i
\(331\) −1.32787 2.29995i −0.0729866 0.126417i 0.827222 0.561875i \(-0.189920\pi\)
−0.900209 + 0.435458i \(0.856586\pi\)
\(332\) −4.51729 + 7.82418i −0.247919 + 0.429408i
\(333\) 22.5246 1.59809i 1.23434 0.0875748i
\(334\) −14.7332 + 8.50623i −0.806166 + 0.465440i
\(335\) 3.70492 0.202422
\(336\) 5.57915 4.93038i 0.304368 0.268974i
\(337\) −21.4599 −1.16900 −0.584499 0.811395i \(-0.698709\pi\)
−0.584499 + 0.811395i \(0.698709\pi\)
\(338\) −11.2874 + 6.51676i −0.613951 + 0.354465i
\(339\) −7.42535 + 4.64513i −0.403290 + 0.252289i
\(340\) 0.212446 0.367967i 0.0115215 0.0199558i
\(341\) 13.0830 + 22.6604i 0.708482 + 1.22713i
\(342\) −9.22795 13.6510i −0.498990 0.738163i
\(343\) −8.78454 16.3044i −0.474321 0.880352i
\(344\) 1.50671i 0.0812363i
\(345\) 0.263533 + 7.43818i 0.0141882 + 0.400458i
\(346\) −9.50056 5.48515i −0.510753 0.294883i
\(347\) −15.7302 9.08183i −0.844441 0.487538i 0.0143301 0.999897i \(-0.495438\pi\)
−0.858771 + 0.512359i \(0.828772\pi\)
\(348\) 0.354022 + 9.99221i 0.0189776 + 0.535639i
\(349\) 13.1543i 0.704135i 0.935975 + 0.352067i \(0.114521\pi\)
−0.935975 + 0.352067i \(0.885479\pi\)
\(350\) −1.00202 + 2.67126i −0.0535602 + 0.142785i
\(351\) −0.526607 4.93787i −0.0281082 0.263564i
\(352\) 9.69392 + 16.7904i 0.516688 + 0.894929i
\(353\) 5.14707 8.91499i 0.273951 0.474497i −0.695919 0.718120i \(-0.745003\pi\)
0.969870 + 0.243623i \(0.0783361\pi\)
\(354\) 18.4133 11.5189i 0.978657 0.612225i
\(355\) 6.84494 3.95193i 0.363292 0.209747i
\(356\) 5.98946 0.317441
\(357\) 2.20515 + 0.739225i 0.116709 + 0.0391239i
\(358\) 5.67438 0.299900
\(359\) 10.2193 5.90010i 0.539352 0.311395i −0.205464 0.978665i \(-0.565870\pi\)
0.744816 + 0.667270i \(0.232537\pi\)
\(360\) 0.649559 + 9.15533i 0.0342347 + 0.482528i
\(361\) 3.47170 6.01316i 0.182721 0.316482i
\(362\) 5.23703 + 9.07079i 0.275252 + 0.476750i
\(363\) −7.07690 + 13.3261i −0.371441 + 0.699436i
\(364\) 1.34471 + 1.63484i 0.0704819 + 0.0856890i
\(365\) 6.31443i 0.330512i
\(366\) −0.861071 + 0.0305076i −0.0450089 + 0.00159466i
\(367\) 13.8338 + 7.98697i 0.722120 + 0.416916i 0.815533 0.578711i \(-0.196444\pi\)
−0.0934122 + 0.995628i \(0.529777\pi\)
\(368\) 6.04635 + 3.49086i 0.315188 + 0.181974i
\(369\) 6.10947 12.5587i 0.318046 0.653778i
\(370\) 8.11672i 0.421968i
\(371\) 15.3488 + 18.6604i 0.796867 + 0.968799i
\(372\) −7.54767 4.00825i −0.391328 0.207818i
\(373\) −2.65834 4.60438i −0.137644 0.238406i 0.788961 0.614444i \(-0.210620\pi\)
−0.926604 + 0.376038i \(0.877286\pi\)
\(374\) 1.21490 2.10426i 0.0628207 0.108809i
\(375\) −0.918594 1.46840i −0.0474360 0.0758276i
\(376\) 17.6443 10.1869i 0.909935 0.525351i
\(377\) 6.58968 0.339386
\(378\) −14.2837 + 3.96815i −0.734677 + 0.204100i
\(379\) 24.0427 1.23499 0.617494 0.786575i \(-0.288148\pi\)
0.617494 + 0.786575i \(0.288148\pi\)
\(380\) −3.69289 + 2.13209i −0.189441 + 0.109374i
\(381\) 7.39477 + 11.8207i 0.378845 + 0.605594i
\(382\) −5.17089 + 8.95625i −0.264566 + 0.458242i
\(383\) −9.40053 16.2822i −0.480345 0.831982i 0.519401 0.854531i \(-0.326155\pi\)
−0.999746 + 0.0225490i \(0.992822\pi\)
\(384\) −0.232289 0.123359i −0.0118539 0.00629512i
\(385\) 4.12554 10.9982i 0.210257 0.560519i
\(386\) 9.00591i 0.458389i
\(387\) 0.646314 1.32857i 0.0328540 0.0675348i
\(388\) −5.01100 2.89310i −0.254395 0.146875i
\(389\) −10.5804 6.10860i −0.536448 0.309718i 0.207190 0.978301i \(-0.433568\pi\)
−0.743638 + 0.668582i \(0.766901\pi\)
\(390\) 1.78384 0.0632012i 0.0903284 0.00320032i
\(391\) 2.18089i 0.110292i
\(392\) 14.0850 16.1327i 0.711399 0.814824i
\(393\) 1.70538 3.21130i 0.0860252 0.161988i
\(394\) 0.957422 + 1.65830i 0.0482342 + 0.0835442i
\(395\) 7.38052 12.7834i 0.371354 0.643205i
\(396\) −0.789145 11.1228i −0.0396560 0.558940i
\(397\) 16.2510 9.38254i 0.815616 0.470896i −0.0332862 0.999446i \(-0.510597\pi\)
0.848902 + 0.528550i \(0.177264\pi\)
\(398\) 4.05302 0.203159
\(399\) −15.4564 17.4903i −0.773789 0.875610i
\(400\) −1.62474 −0.0812371
\(401\) 20.7823 11.9987i 1.03782 0.599184i 0.118603 0.992942i \(-0.462158\pi\)
0.919214 + 0.393757i \(0.128825\pi\)
\(402\) −5.86647 + 3.66993i −0.292593 + 0.183039i
\(403\) −2.81618 + 4.87777i −0.140284 + 0.242979i
\(404\) 1.00076 + 1.73336i 0.0497896 + 0.0862381i
\(405\) 3.35448 8.35149i 0.166686 0.414989i
\(406\) −3.22599 19.4060i −0.160103 0.963102i
\(407\) 33.4183i 1.65648i
\(408\) 0.0952259 + 2.68773i 0.00471438 + 0.133063i
\(409\) −14.7941 8.54140i −0.731523 0.422345i 0.0874559 0.996168i \(-0.472126\pi\)
−0.818979 + 0.573823i \(0.805460\pi\)
\(410\) 4.34743 + 2.50999i 0.214704 + 0.123959i
\(411\) −0.303394 8.56325i −0.0149653 0.422394i
\(412\) 12.5262i 0.617120i
\(413\) 23.7615 19.5446i 1.16923 0.961726i
\(414\) −7.78521 11.5168i −0.382622 0.566018i
\(415\) 5.39580 + 9.34580i 0.264869 + 0.458767i
\(416\) −2.08667 + 3.61422i −0.102307 + 0.177202i
\(417\) 15.7438 9.84892i 0.770975 0.482304i
\(418\) −21.1182 + 12.1926i −1.03293 + 0.596361i
\(419\) −39.6524 −1.93714 −0.968572 0.248732i \(-0.919986\pi\)
−0.968572 + 0.248732i \(0.919986\pi\)
\(420\) 0.762738 + 3.75989i 0.0372178 + 0.183464i
\(421\) −34.1423 −1.66399 −0.831997 0.554779i \(-0.812803\pi\)
−0.831997 + 0.554779i \(0.812803\pi\)
\(422\) 8.51805 4.91790i 0.414652 0.239400i
\(423\) −19.9279 + 1.41386i −0.968928 + 0.0687442i
\(424\) −13.9699 + 24.1966i −0.678439 + 1.17509i
\(425\) −0.253761 0.439527i −0.0123092 0.0213202i
\(426\) −6.92386 + 13.0379i −0.335462 + 0.631687i
\(427\) −1.20400 + 0.200149i −0.0582655 + 0.00968589i
\(428\) 11.3535i 0.548790i
\(429\) −7.34447 + 0.260213i −0.354594 + 0.0125632i
\(430\) 0.459909 + 0.265529i 0.0221788 + 0.0128049i
\(431\) 22.3182 + 12.8854i 1.07503 + 0.620668i 0.929551 0.368693i \(-0.120195\pi\)
0.145478 + 0.989361i \(0.453528\pi\)
\(432\) −4.97273 6.82247i −0.239251 0.328246i
\(433\) 11.9120i 0.572454i −0.958162 0.286227i \(-0.907599\pi\)
0.958162 0.286227i \(-0.0924011\pi\)
\(434\) 15.7432 + 5.90546i 0.755699 + 0.283471i
\(435\) 10.5478 + 5.60151i 0.505730 + 0.268572i
\(436\) −6.74826 11.6883i −0.323183 0.559769i
\(437\) 10.9436 18.9549i 0.523505 0.906738i
\(438\) 6.25479 + 9.99844i 0.298865 + 0.477744i
\(439\) −14.5260 + 8.38661i −0.693290 + 0.400271i −0.804843 0.593487i \(-0.797751\pi\)
0.111553 + 0.993758i \(0.464417\pi\)
\(440\) 13.5832 0.647553
\(441\) −19.3399 + 8.18342i −0.920947 + 0.389687i
\(442\) 0.523026 0.0248778
\(443\) 2.07491 1.19795i 0.0985819 0.0569163i −0.449899 0.893080i \(-0.648540\pi\)
0.548480 + 0.836163i \(0.315207\pi\)
\(444\) 5.78858 + 9.25319i 0.274714 + 0.439137i
\(445\) 3.57713 6.19577i 0.169572 0.293708i
\(446\) 6.32967 + 10.9633i 0.299718 + 0.519127i
\(447\) −8.05178 4.27596i −0.380836 0.202246i
\(448\) 19.7147 + 7.39520i 0.931432 + 0.349390i
\(449\) 25.4692i 1.20196i 0.799262 + 0.600982i \(0.205224\pi\)
−0.799262 + 0.600982i \(0.794776\pi\)
\(450\) 2.90905 + 1.41518i 0.137134 + 0.0667122i
\(451\) −17.8993 10.3342i −0.842846 0.486617i
\(452\) −3.66629 2.11674i −0.172448 0.0995629i
\(453\) 12.1324 0.429847i 0.570028 0.0201960i
\(454\) 26.1184i 1.22580i
\(455\) 2.49427 0.414640i 0.116933 0.0194386i
\(456\) 12.6593 23.8380i 0.592827 1.11632i
\(457\) 1.72096 + 2.98078i 0.0805029 + 0.139435i 0.903466 0.428660i \(-0.141014\pi\)
−0.822963 + 0.568095i \(0.807681\pi\)
\(458\) −11.7047 + 20.2731i −0.546924 + 0.947300i
\(459\) 1.06895 2.41080i 0.0498945 0.112527i
\(460\) −3.11553 + 1.79875i −0.145262 + 0.0838672i
\(461\) −13.5376 −0.630509 −0.315254 0.949007i \(-0.602090\pi\)
−0.315254 + 0.949007i \(0.602090\pi\)
\(462\) 4.36180 + 21.5014i 0.202930 + 1.00033i
\(463\) −5.13770 −0.238769 −0.119385 0.992848i \(-0.538092\pi\)
−0.119385 + 0.992848i \(0.538092\pi\)
\(464\) 9.70210 5.60151i 0.450409 0.260044i
\(465\) −8.65407 + 5.41378i −0.401323 + 0.251058i
\(466\) −5.92883 + 10.2690i −0.274648 + 0.475704i
\(467\) 4.60894 + 7.98292i 0.213276 + 0.369405i 0.952738 0.303793i \(-0.0982532\pi\)
−0.739462 + 0.673199i \(0.764920\pi\)
\(468\) 1.98854 1.34423i 0.0919201 0.0621370i
\(469\) −7.57040 + 6.22689i −0.349569 + 0.287531i
\(470\) 7.18101i 0.331235i
\(471\) 0.177857 + 5.01998i 0.00819521 + 0.231308i
\(472\) 30.8111 + 17.7888i 1.41820 + 0.818797i
\(473\) −1.89355 1.09324i −0.0870654 0.0502672i
\(474\) 0.976178 + 27.5524i 0.0448374 + 1.26553i
\(475\) 5.09347i 0.233704i
\(476\) 0.184347 + 1.10894i 0.00844952 + 0.0508281i
\(477\) 22.6975 15.3433i 1.03925 0.702520i
\(478\) −4.86680 8.42955i −0.222602 0.385559i
\(479\) 10.3187 17.8724i 0.471472 0.816613i −0.527996 0.849247i \(-0.677056\pi\)
0.999467 + 0.0326342i \(0.0103896\pi\)
\(480\) −6.41230 + 4.01138i −0.292680 + 0.183094i
\(481\) 6.22974 3.59674i 0.284052 0.163997i
\(482\) 5.47902 0.249563
\(483\) −13.0399 14.7558i −0.593336 0.671411i
\(484\) −7.29309 −0.331504
\(485\) −5.98552 + 3.45574i −0.271789 + 0.156917i
\(486\) 2.96103 + 16.5468i 0.134315 + 0.750577i
\(487\) −1.23749 + 2.14340i −0.0560761 + 0.0971267i −0.892701 0.450650i \(-0.851192\pi\)
0.836625 + 0.547777i \(0.184526\pi\)
\(488\) −0.705682 1.22228i −0.0319447 0.0553298i
\(489\) −10.3647 + 19.5171i −0.468709 + 0.882595i
\(490\) −2.44215 7.14239i −0.110325 0.322660i
\(491\) 21.2827i 0.960476i 0.877138 + 0.480238i \(0.159450\pi\)
−0.877138 + 0.480238i \(0.840550\pi\)
\(492\) 6.74618 0.239016i 0.304141 0.0107757i
\(493\) 3.03065 + 1.74975i 0.136494 + 0.0788047i
\(494\) −4.54582 2.62453i −0.204526 0.118083i
\(495\) −11.9772 5.82660i −0.538335 0.261886i
\(496\) 9.57550i 0.429953i
\(497\) −7.34447 + 19.5795i −0.329445 + 0.878259i
\(498\) −17.8014 9.45355i −0.797698 0.423624i
\(499\) −16.3690 28.3519i −0.732775 1.26920i −0.955693 0.294366i \(-0.904891\pi\)
0.222918 0.974837i \(-0.428442\pi\)
\(500\) 0.418594 0.725026i 0.0187201 0.0324241i
\(501\) 14.4922 + 23.1662i 0.647466 + 1.03499i
\(502\) 17.4398 10.0689i 0.778378 0.449397i
\(503\) 0.675693 0.0301277 0.0150638 0.999887i \(-0.495205\pi\)
0.0150638 + 0.999887i \(0.495205\pi\)
\(504\) −16.7147 17.6157i −0.744532 0.784665i
\(505\) 2.39076 0.106388
\(506\) −17.8165 + 10.2864i −0.792041 + 0.457285i
\(507\) 11.1027 + 17.7480i 0.493090 + 0.788217i
\(508\) −3.36972 + 5.83652i −0.149507 + 0.258954i
\(509\) 16.5519 + 28.6687i 0.733649 + 1.27072i 0.955313 + 0.295595i \(0.0955178\pi\)
−0.221664 + 0.975123i \(0.571149\pi\)
\(510\) 0.837188 + 0.444595i 0.0370713 + 0.0196870i
\(511\) 10.6127 + 12.9025i 0.469479 + 0.570773i
\(512\) 17.0367i 0.752921i
\(513\) −21.3880 + 15.5892i −0.944305 + 0.688281i
\(514\) −11.2836 6.51458i −0.497697 0.287346i
\(515\) −12.9577 7.48110i −0.570982 0.329657i
\(516\) 0.713670 0.0252852i 0.0314176 0.00111312i
\(517\) 29.5658i 1.30030i
\(518\) −13.6418 16.5852i −0.599388 0.728711i
\(519\) −8.26453 + 15.5624i −0.362773 + 0.683114i
\(520\) 1.46193 + 2.53214i 0.0641098 + 0.111042i
\(521\) 21.4725 37.1914i 0.940726 1.62938i 0.176634 0.984277i \(-0.443479\pi\)
0.764092 0.645108i \(-0.223188\pi\)
\(522\) −22.2503 + 1.57863i −0.973871 + 0.0690949i
\(523\) 33.0751 19.0959i 1.44627 0.835007i 0.448018 0.894025i \(-0.352130\pi\)
0.998257 + 0.0590174i \(0.0187967\pi\)
\(524\) 1.75748 0.0767759
\(525\) 4.34494 + 1.45654i 0.189629 + 0.0635685i
\(526\) 13.8974 0.605953
\(527\) −2.59038 + 1.49555i −0.112839 + 0.0651474i
\(528\) −10.5922 + 6.62623i −0.460966 + 0.288370i
\(529\) −2.26734 + 3.92715i −0.0985802 + 0.170746i
\(530\) 4.92386 + 8.52837i 0.213879 + 0.370449i
\(531\) −19.5376 28.9022i −0.847859 1.25425i
\(532\) 3.96240 10.5633i 0.171792 0.457975i
\(533\) 4.44898i 0.192707i
\(534\) 0.473126 + 13.3539i 0.0204742 + 0.577879i
\(535\) 11.7445 + 6.78072i 0.507761 + 0.293156i
\(536\) −9.81641 5.66751i −0.424004 0.244799i
\(537\) −0.322716 9.10860i −0.0139262 0.393065i
\(538\) 0.502984i 0.0216852i
\(539\) 10.0549 + 29.4068i 0.433094 + 1.26664i
\(540\) 4.32562 0.461313i 0.186145 0.0198518i
\(541\) 0.204923 + 0.354938i 0.00881035 + 0.0152600i 0.870397 0.492351i \(-0.163862\pi\)
−0.861587 + 0.507611i \(0.830529\pi\)
\(542\) 12.5576 21.7504i 0.539396 0.934261i
\(543\) 14.2627 8.92243i 0.612073 0.382898i
\(544\) −1.91936 + 1.10814i −0.0822918 + 0.0475112i
\(545\) −16.1213 −0.690559
\(546\) −3.53877 + 3.12726i −0.151445 + 0.133834i
\(547\) −10.9605 −0.468638 −0.234319 0.972160i \(-0.575286\pi\)
−0.234319 + 0.972160i \(0.575286\pi\)
\(548\) 3.58677 2.07082i 0.153219 0.0884612i
\(549\) 0.0979425 + 1.38047i 0.00418008 + 0.0589170i
\(550\) 2.39378 4.14614i 0.102071 0.176792i
\(551\) −17.5604 30.4155i −0.748098 1.29574i
\(552\) 10.6801 20.1110i 0.454576 0.855982i
\(553\) 6.40434 + 38.5254i 0.272340 + 1.63827i
\(554\) 14.9790i 0.636398i
\(555\) 13.0291 0.461618i 0.553054 0.0195946i
\(556\) 7.77354 + 4.48805i 0.329671 + 0.190336i
\(557\) 5.21291 + 3.00967i 0.220878 + 0.127524i 0.606357 0.795193i \(-0.292630\pi\)
−0.385479 + 0.922717i \(0.625964\pi\)
\(558\) 8.34043 17.1446i 0.353079 0.725791i
\(559\) 0.470652i 0.0199065i
\(560\) 3.31989 2.73072i 0.140291 0.115394i
\(561\) −3.44689 1.83049i −0.145528 0.0772835i
\(562\) 3.69591 + 6.40150i 0.155903 + 0.270031i
\(563\) 7.43466 12.8772i 0.313334 0.542710i −0.665748 0.746176i \(-0.731887\pi\)
0.979082 + 0.203467i \(0.0652208\pi\)
\(564\) −5.12126 8.18646i −0.215644 0.344712i
\(565\) −4.37930 + 2.52839i −0.184238 + 0.106370i
\(566\) −4.78405 −0.201089
\(567\) 7.18209 + 22.7028i 0.301619 + 0.953428i
\(568\) −24.1814 −1.01463
\(569\) 4.55880 2.63203i 0.191115 0.110340i −0.401389 0.915907i \(-0.631473\pi\)
0.592504 + 0.805567i \(0.298139\pi\)
\(570\) −5.04536 8.06513i −0.211327 0.337811i
\(571\) −22.8775 + 39.6250i −0.957394 + 1.65825i −0.228601 + 0.973520i \(0.573415\pi\)
−0.728793 + 0.684734i \(0.759918\pi\)
\(572\) −1.77609 3.07628i −0.0742621 0.128626i
\(573\) 14.6708 + 7.79103i 0.612881 + 0.325475i
\(574\) −13.1018 + 2.17801i −0.546859 + 0.0909082i
\(575\) 4.29713i 0.179203i
\(576\) 10.4444 21.4696i 0.435185 0.894569i
\(577\) −4.35716 2.51561i −0.181391 0.104726i 0.406555 0.913626i \(-0.366730\pi\)
−0.587946 + 0.808900i \(0.700063\pi\)
\(578\) −15.6352 9.02699i −0.650339 0.375473i
\(579\) −14.4564 + 0.512189i −0.600789 + 0.0212858i
\(580\) 5.77263i 0.239695i
\(581\) −26.7330 10.0278i −1.10907 0.416025i
\(582\) 6.05453 11.4009i 0.250968 0.472582i
\(583\) −20.2726 35.1132i −0.839606 1.45424i
\(584\) −9.65933 + 16.7305i −0.399706 + 0.692311i
\(585\) −0.202903 2.85986i −0.00838902 0.118241i
\(586\) 28.0928 16.2194i 1.16050 0.670016i
\(587\) 18.5075 0.763887 0.381944 0.924186i \(-0.375255\pi\)
0.381944 + 0.924186i \(0.375255\pi\)
\(588\) −7.87781 6.40078i −0.324875 0.263964i
\(589\) 30.0186 1.23690
\(590\) 10.8597 6.26988i 0.447089 0.258127i
\(591\) 2.60748 1.63118i 0.107258 0.0670978i
\(592\) 6.11477 10.5911i 0.251316 0.435291i
\(593\) 9.26927 + 16.0548i 0.380643 + 0.659293i 0.991154 0.132714i \(-0.0423693\pi\)
−0.610511 + 0.792008i \(0.709036\pi\)
\(594\) 24.7366 2.63807i 1.01495 0.108241i
\(595\) 1.25724 + 0.471603i 0.0515416 + 0.0193338i
\(596\) 4.40658i 0.180501i
\(597\) −0.230505 6.50596i −0.00943395 0.266271i
\(598\) −3.83511 2.21420i −0.156829 0.0905453i
\(599\) −0.501417 0.289493i −0.0204873 0.0118284i 0.489721 0.871879i \(-0.337099\pi\)
−0.510209 + 0.860051i \(0.670432\pi\)
\(600\) 0.187629 + 5.29579i 0.00765992 + 0.216200i
\(601\) 29.8618i 1.21809i −0.793137 0.609044i \(-0.791553\pi\)
0.793137 0.609044i \(-0.208447\pi\)
\(602\) −1.38603 + 0.230409i −0.0564902 + 0.00939076i
\(603\) 6.22467 + 9.20824i 0.253488 + 0.374988i
\(604\) 2.93393 + 5.08172i 0.119380 + 0.206772i
\(605\) −4.35571 + 7.54431i −0.177085 + 0.306720i
\(606\) −3.78560 + 2.36818i −0.153779 + 0.0962007i
\(607\) 21.7458 12.5550i 0.882637 0.509591i 0.0111098 0.999938i \(-0.496464\pi\)
0.871527 + 0.490348i \(0.163130\pi\)
\(608\) 22.2425 0.902053
\(609\) −30.9673 + 6.28208i −1.25486 + 0.254563i
\(610\) −0.497451 −0.0201412
\(611\) −5.51156 + 3.18210i −0.222974 + 0.128734i
\(612\) 1.27148 0.0902097i 0.0513964 0.00364651i
\(613\) 0.729932 1.26428i 0.0294817 0.0510638i −0.850908 0.525315i \(-0.823948\pi\)
0.880390 + 0.474251i \(0.157281\pi\)
\(614\) −17.7009 30.6589i −0.714351 1.23729i
\(615\) 3.78182 7.12131i 0.152498 0.287159i
\(616\) −27.7550 + 22.8294i −1.11828 + 0.919822i
\(617\) 6.56208i 0.264179i 0.991238 + 0.132090i \(0.0421687\pi\)
−0.991238 + 0.132090i \(0.957831\pi\)
\(618\) 27.9279 0.989482i 1.12343 0.0398028i
\(619\) 18.2419 + 10.5319i 0.733202 + 0.423315i 0.819593 0.572947i \(-0.194200\pi\)
−0.0863902 + 0.996261i \(0.527533\pi\)
\(620\) −4.27298 2.46700i −0.171607 0.0990773i
\(621\) −18.0441 + 13.1519i −0.724086 + 0.527768i
\(622\) 17.7510i 0.711751i
\(623\) 3.10400 + 18.6721i 0.124359 + 0.748084i
\(624\) −2.37526 1.26140i −0.0950864 0.0504964i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 2.48473 4.30367i 0.0993096 0.172009i
\(627\) 20.7728 + 33.2059i 0.829587 + 1.32612i
\(628\) −2.10265 + 1.21396i −0.0839048 + 0.0484425i
\(629\) 3.82015 0.152319
\(630\) −8.32267 + 1.99758i −0.331583 + 0.0795855i
\(631\) 17.5069 0.696937 0.348468 0.937321i \(-0.386702\pi\)
0.348468 + 0.937321i \(0.386702\pi\)
\(632\) −39.1103 + 22.5803i −1.55572 + 0.898197i
\(633\) −8.37873 13.3936i −0.333025 0.532349i
\(634\) 15.8678 27.4839i 0.630192 1.09152i
\(635\) 4.02505 + 6.97158i 0.159729 + 0.276659i
\(636\) 11.6954 + 6.21095i 0.463754 + 0.246280i
\(637\) −4.39974 + 5.03939i −0.174324 + 0.199668i
\(638\) 33.0114i 1.30694i
\(639\) 21.3224 + 10.3728i 0.843500 + 0.410341i
\(640\) −0.131506 0.0759250i −0.00519823 0.00300120i
\(641\) 9.98943 + 5.76740i 0.394559 + 0.227798i 0.684133 0.729357i \(-0.260181\pi\)
−0.289575 + 0.957155i \(0.593514\pi\)
\(642\) −25.3133 + 0.896846i −0.999036 + 0.0353957i
\(643\) 17.3489i 0.684173i 0.939668 + 0.342087i \(0.111134\pi\)
−0.939668 + 0.342087i \(0.888866\pi\)
\(644\) 3.34290 8.91175i 0.131729 0.351172i
\(645\) 0.400075 0.753355i 0.0157529 0.0296633i
\(646\) −1.39378 2.41409i −0.0548374 0.0949812i
\(647\) 3.93387 6.81366i 0.154656 0.267873i −0.778278 0.627920i \(-0.783906\pi\)
0.932934 + 0.360048i \(0.117240\pi\)
\(648\) −21.6634 + 16.9963i −0.851018 + 0.667679i
\(649\) −44.7120 + 25.8145i −1.75510 + 1.01331i
\(650\) 1.03055 0.0404214
\(651\) 8.58418 25.6071i 0.336440 1.00362i
\(652\) −10.6813 −0.418314
\(653\) −1.73516 + 1.00180i −0.0679021 + 0.0392033i −0.533567 0.845758i \(-0.679149\pi\)
0.465665 + 0.884961i \(0.345815\pi\)
\(654\) 25.5268 15.9690i 0.998178 0.624437i
\(655\) 1.04963 1.81802i 0.0410126 0.0710358i
\(656\) −3.78182 6.55031i −0.147655 0.255747i
\(657\) 15.6939 10.6089i 0.612278 0.413893i
\(658\) 12.0692 + 14.6732i 0.470506 + 0.572021i
\(659\) 44.8494i 1.74709i −0.486747 0.873543i \(-0.661817\pi\)
0.486747 0.873543i \(-0.338183\pi\)
\(660\) −0.227950 6.43383i −0.00887293 0.250437i
\(661\) 10.4404 + 6.02776i 0.406084 + 0.234453i 0.689106 0.724661i \(-0.258004\pi\)
−0.283022 + 0.959113i \(0.591337\pi\)
\(662\) 2.48012 + 1.43190i 0.0963926 + 0.0556523i
\(663\) −0.0297458 0.839570i −0.00115523 0.0326062i
\(664\) 33.0163i 1.28128i
\(665\) −8.56063 10.4077i −0.331967 0.403592i
\(666\) −20.1733 + 13.6370i −0.781701 + 0.528421i
\(667\) −14.8149 25.6602i −0.573636 0.993566i
\(668\) −6.60397 + 11.4384i −0.255515 + 0.442565i
\(669\) 17.2385 10.7840i 0.666478 0.416933i
\(670\) −3.45991 + 1.99758i −0.133668 + 0.0771732i
\(671\) 2.04812 0.0790667
\(672\) 6.36051 18.9738i 0.245362 0.731930i
\(673\) 11.5641 0.445763 0.222882 0.974845i \(-0.428454\pi\)
0.222882 + 0.974845i \(0.428454\pi\)
\(674\) 20.0407 11.5705i 0.771941 0.445680i
\(675\) 2.10622 4.75014i 0.0810686 0.182833i
\(676\) −5.05941 + 8.76315i −0.194593 + 0.337044i
\(677\) −10.7467 18.6138i −0.413029 0.715388i 0.582190 0.813053i \(-0.302196\pi\)
−0.995219 + 0.0976651i \(0.968863\pi\)
\(678\) 4.42979 8.34145i 0.170125 0.320352i
\(679\) 6.42234 17.1212i 0.246467 0.657050i
\(680\) 1.55274i 0.0595447i
\(681\) −41.9257 + 1.48542i −1.60660 + 0.0569214i
\(682\) −24.4355 14.1079i −0.935684 0.540218i
\(683\) −15.0140 8.66837i −0.574497 0.331686i 0.184447 0.982843i \(-0.440951\pi\)
−0.758943 + 0.651157i \(0.774284\pi\)
\(684\) −11.5036 5.59620i −0.439850 0.213976i
\(685\) 4.94709i 0.189019i
\(686\) 16.9944 + 10.4898i 0.648849 + 0.400501i
\(687\) 33.2084 + 17.6356i 1.26698 + 0.672839i
\(688\) −0.400075 0.692950i −0.0152527 0.0264185i
\(689\) 4.36379 7.55831i 0.166247 0.287949i
\(690\) −4.25654 6.80419i −0.162044 0.259031i
\(691\) −11.7251 + 6.76951i −0.446045 + 0.257524i −0.706158 0.708054i \(-0.749573\pi\)
0.260114 + 0.965578i \(0.416240\pi\)
\(692\) −8.51700 −0.323768
\(693\) 34.2663 8.22447i 1.30167 0.312422i
\(694\) 19.5866 0.743496
\(695\) 9.28530 5.36087i 0.352211 0.203349i
\(696\) −19.3784 30.9768i −0.734535 1.17417i
\(697\) 1.18133 2.04613i 0.0447461 0.0775026i
\(698\) −7.09240 12.2844i −0.268451 0.464971i
\(699\) 16.8212 + 8.93303i 0.636237 + 0.337878i
\(700\) 0.363229 + 2.18500i 0.0137288 + 0.0825854i
\(701\) 41.8503i 1.58066i 0.612679 + 0.790332i \(0.290092\pi\)
−0.612679 + 0.790332i \(0.709908\pi\)
\(702\) 3.15413 + 4.32739i 0.119045 + 0.163327i
\(703\) −33.2024 19.1694i −1.25225 0.722989i
\(704\) −30.5998 17.6668i −1.15327 0.665842i
\(705\) −11.5271 + 0.408402i −0.434134 + 0.0153813i
\(706\) 11.1006i 0.417775i
\(707\) −4.88513 + 4.01817i −0.183724 + 0.151119i
\(708\) 7.90881 14.8926i 0.297231 0.559697i
\(709\) 22.7397 + 39.3863i 0.854008 + 1.47918i 0.877563 + 0.479462i \(0.159168\pi\)
−0.0235552 + 0.999723i \(0.507499\pi\)
\(710\) −4.26151 + 7.38116i −0.159932 + 0.277010i
\(711\) 44.1721 3.13395i 1.65658 0.117532i
\(712\) −18.9556 + 10.9440i −0.710392 + 0.410145i
\(713\) 25.3253 0.948442
\(714\) −2.45789 + 0.498612i −0.0919842 + 0.0186601i
\(715\) −4.24299 −0.158679
\(716\) 3.81519 2.20270i 0.142580 0.0823189i
\(717\) −13.2545 + 8.29168i −0.494997 + 0.309658i
\(718\) −6.36230 + 11.0198i −0.237439 + 0.411256i
\(719\) −0.114311 0.197992i −0.00426307 0.00738386i 0.863886 0.503687i \(-0.168024\pi\)
−0.868149 + 0.496304i \(0.834690\pi\)
\(720\) −2.72974 4.03814i −0.101731 0.150493i
\(721\) 39.0504 6.49162i 1.45431 0.241761i
\(722\) 7.48733i 0.278650i
\(723\) −0.311606 8.79502i −0.0115887 0.327090i
\(724\) 7.04228 + 4.06586i 0.261724 + 0.151107i
\(725\) 5.97147 + 3.44763i 0.221775 + 0.128042i
\(726\) −0.576104 16.2604i −0.0213812 0.603481i
\(727\) 19.2284i 0.713140i 0.934269 + 0.356570i \(0.116054\pi\)
−0.934269 + 0.356570i \(0.883946\pi\)
\(728\) −7.24299 2.71693i −0.268443 0.100696i
\(729\) 26.3927 5.69415i 0.977509 0.210895i
\(730\) 3.40454 + 5.89684i 0.126008 + 0.218252i
\(731\) 0.124972 0.216457i 0.00462225 0.00800596i
\(732\) −0.567103 + 0.354766i −0.0209607 + 0.0131125i
\(733\) −7.15035 + 4.12825i −0.264104 + 0.152481i −0.626205 0.779658i \(-0.715393\pi\)
0.362101 + 0.932139i \(0.382059\pi\)
\(734\) −17.2253 −0.635797
\(735\) −11.3262 + 4.32638i −0.417773 + 0.159581i
\(736\) 18.7650 0.691688
\(737\) 14.2452 8.22447i 0.524729 0.302952i
\(738\) 1.06580 + 15.0222i 0.0392328 + 0.552974i
\(739\) 5.17166 8.95758i 0.190243 0.329510i −0.755088 0.655623i \(-0.772406\pi\)
0.945331 + 0.326114i \(0.105739\pi\)
\(740\) 3.15078 + 5.45732i 0.115825 + 0.200615i
\(741\) −3.95441 + 7.44629i −0.145269 + 0.273546i
\(742\) −24.3948 9.15076i −0.895561 0.335935i
\(743\) 37.7580i 1.38521i 0.721318 + 0.692604i \(0.243537\pi\)
−0.721318 + 0.692604i \(0.756463\pi\)
\(744\) 31.2110 1.10580i 1.14425 0.0405407i
\(745\) −4.55837 2.63178i −0.167006 0.0964209i
\(746\) 4.96508 + 2.86659i 0.181785 + 0.104953i
\(747\) −14.1626 + 29.1127i −0.518182 + 1.06518i
\(748\) 1.88641i 0.0689741i
\(749\) −35.3945 + 5.88387i −1.29329 + 0.214992i
\(750\) 1.64956 + 0.876010i 0.0602334 + 0.0319874i
\(751\) 21.4442 + 37.1424i 0.782509 + 1.35534i 0.930476 + 0.366352i \(0.119394\pi\)
−0.147968 + 0.988992i \(0.547273\pi\)
\(752\) −5.40985 + 9.37013i −0.197277 + 0.341693i
\(753\) −17.1546 27.4220i −0.625148 0.999315i
\(754\) −6.15389 + 3.55295i −0.224111 + 0.129391i
\(755\) 7.00901 0.255084
\(756\) −8.06337 + 8.21273i −0.293262 + 0.298694i
\(757\) −30.1051 −1.09419 −0.547094 0.837071i \(-0.684266\pi\)
−0.547094 + 0.837071i \(0.684266\pi\)
\(758\) −22.4527 + 12.9631i −0.815518 + 0.470840i
\(759\) 17.5251 + 28.0143i 0.636121 + 1.01686i
\(760\) 7.79159 13.4954i 0.282631 0.489531i
\(761\) −18.8860 32.7115i −0.684618 1.18579i −0.973557 0.228445i \(-0.926636\pi\)
0.288939 0.957347i \(-0.406697\pi\)
\(762\) −13.2791 7.05196i −0.481051 0.255466i
\(763\) 32.9411 27.0951i 1.19255 0.980910i
\(764\) 8.02904i 0.290480i
\(765\) 0.666057 1.36915i 0.0240814 0.0495018i
\(766\) 17.5577 + 10.1370i 0.634386 + 0.366263i
\(767\) −9.62451 5.55671i −0.347521 0.200641i
\(768\) 27.8350 0.986190i 1.00441 0.0355861i
\(769\) 33.3656i 1.20319i −0.798800 0.601597i \(-0.794531\pi\)
0.798800 0.601597i \(-0.205469\pi\)
\(770\) 2.07717 + 12.4952i 0.0748559 + 0.450296i
\(771\) −9.81558 + 18.4831i −0.353499 + 0.665652i
\(772\) −3.49595 6.05517i −0.125822 0.217930i
\(773\) −0.573356 + 0.993081i −0.0206222 + 0.0357186i −0.876152 0.482034i \(-0.839898\pi\)