Properties

Label 105.2.s.c.26.2
Level 105
Weight 2
Character 105.26
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 26.2
Root \(-1.07834i\)
Character \(\chi\) = 105.26
Dual form 105.2.s.c.101.2

$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

\(n\) \(22\) \(31\) \(71\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(-1\)

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 0.132064 0.991241i \(-0.457840\pi\)
−0.792408 + 0.609991i \(0.791173\pi\)
\(3\) 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 0.208158 0.978095i \(-0.433253\pi\)
0.951134 + 0.308777i \(0.0999197\pi\)
\(12\) −1.44914 0.0513428i −0.418331 0.0148214i
\(13\) 0.955682i 0.265059i −0.991179 0.132529i \(-0.957690\pi\)
0.991179 0.132529i \(-0.0423099\pi\)
\(14\) 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 0.833611 0.552353i \(-0.186270\pi\)
−0.895157 + 0.445752i \(0.852936\pi\)
\(18\) −0.228945 + 3.22690i −0.0539627 + 0.760588i
\(19\) 4.41107 + 2.54673i 1.01197 + 0.584261i 0.911768 0.410706i \(-0.134718\pi\)
0.100202 + 0.994967i \(0.468051\pi\)
\(20\) −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 0.835000 0.550250i \(-0.185467\pi\)
−0.0590300 + 0.998256i \(0.518801\pi\)
\(24\) 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 \(0.221152\pi\)
−0.768201 + 0.640209i \(0.778848\pi\)
\(30\) −0.0661321 + 1.86656i −0.0120740 + 0.340787i
\(31\) 5.10397 2.94678i 0.916699 0.529257i 0.0341187 0.999418i \(-0.489138\pi\)
0.882581 + 0.470161i \(0.155804\pi\)
\(32\) 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 0.370998 + 0.928634i \(0.379016\pi\)
−0.989719 + 0.143023i \(0.954318\pi\)
\(38\) −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 −0.514183 0.857681i \(-0.671905\pi\)
0.999865 + 0.0164553i \(0.00523812\pi\)
\(48\) −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 −0.932605 0.360899i \(-0.882470\pi\)
−0.153754 + 0.988109i \(0.549136\pi\)
\(54\) 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 −0.944389 0.328829i \(-0.893346\pi\)
0.187420 0.982280i \(-0.439987\pi\)
\(60\) −0.769035 + 1.22932i −0.0992820 + 0.158705i
\(61\) 0.399509 + 0.230657i 0.0511519 + 0.0295326i 0.525358 0.850881i \(-0.323931\pi\)
−0.474206 + 0.880414i \(0.657265\pi\)
\(62\) −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 0.956713 0.291033i \(-0.0939991\pi\)
−0.730399 + 0.683021i \(0.760666\pi\)
\(68\) −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 \(0.155388\pi\)
−0.883194 + 0.469008i \(0.844612\pi\)
\(72\) 8.25352 4.01513i 0.972687 0.473187i
\(73\) −5.46846 + 3.15721i −0.640034 + 0.369524i −0.784628 0.619967i \(-0.787146\pi\)
0.144593 + 0.989491i \(0.453813\pi\)
\(74\) 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 0.0673684 + 0.997728i \(0.478540\pi\)
−0.897742 + 0.440521i \(0.854794\pi\)
\(80\) −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 −0.990942 0.134287i \(-0.957125\pi\)
0.611768 + 0.791038i \(0.290459\pi\)
\(90\) 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 \(-0.885883\pi\)
0.936421 0.350877i \(-0.114117\pi\)
\(98\) −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 0.919350 0.393441i \(-0.128715\pi\)
−0.800405 + 0.599460i \(0.795382\pi\)
\(102\) 0.803624 + 0.502728i 0.0795706 + 0.0497775i
\(103\) −12.9577 7.48110i −1.27676 0.737135i −0.300505 0.953780i \(-0.597155\pi\)
−0.976250 + 0.216645i \(0.930489\pi\)
\(104\) 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 0.945284 0.326247i \(-0.105784\pi\)
0.190104 + 0.981764i \(0.439118\pi\)
\(108\) 1.76330 + 3.97676i 0.169674 + 0.382664i
\(109\) −8.06063 13.9614i −0.772068 1.33726i −0.936428 0.350861i \(-0.885889\pi\)
0.164359 0.986401i \(-0.447444\pi\)
\(110\) −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 \(-0.923557\pi\)
0.971302 0.237851i \(-0.0764429\pi\)
\(114\) −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 −0.908229 0.418473i \(-0.862566\pi\)
0.816523 + 0.577314i \(0.195899\pi\)
\(132\) −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 −0.671724 0.740801i \(-0.734446\pi\)
0.305691 + 0.952131i \(0.401113\pi\)
\(138\) −8.02087 0.284178i −0.682782 0.0241908i
\(139\) 10.7217i 0.909406i 0.890643 + 0.454703i \(0.150255\pi\)
−0.890643 + 0.454703i \(0.849745\pi\)
\(140\) 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 0.301522 0.953459i \(-0.402505\pi\)
−0.674959 + 0.737855i \(0.735839\pi\)
\(150\) 1.58343 + 0.990554i 0.129286 + 0.0808784i
\(151\) 3.50451 + 6.06998i 0.285193 + 0.493968i 0.972656 0.232251i \(-0.0746091\pi\)
−0.687463 + 0.726219i \(0.741276\pi\)
\(152\) −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 −0.396418 0.918070i \(-0.629747\pi\)
0.596863 + 0.802343i \(0.296414\pi\)
\(158\) 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 −0.500335 0.865832i \(-0.666790\pi\)
1.00000 0.000386523i \(0.000123034\pi\)
\(164\) 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 −0.605275 0.796016i \(-0.706937\pi\)
0.992008 + 0.126176i \(0.0402704\pi\)
\(174\) −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 −0.660545 0.750786i \(-0.729675\pi\)
0.319927 + 0.947442i \(0.396341\pi\)
\(180\) 1.09870 + 2.25850i 0.0818923 + 0.168338i
\(181\) 9.71314i 0.721972i 0.932571 + 0.360986i \(0.117560\pi\)
−0.932571 + 0.360986i \(0.882440\pi\)
\(182\) 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 0.769424 0.638738i \(-0.220543\pi\)
−0.168451 + 0.985710i \(0.553877\pi\)
\(192\) −7.31058 + 11.6861i −0.527596 + 0.843375i
\(193\) −4.17583 7.23275i −0.300583 0.520625i 0.675685 0.737190i \(-0.263848\pi\)
−0.976268 + 0.216566i \(0.930515\pi\)
\(194\) −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 \(0.0201491\pi\)
−0.997997 + 0.0632580i \(0.979851\pi\)
\(198\) 6.28305 + 12.9155i 0.446517 + 0.917863i
\(199\) −3.25502 + 1.87929i −0.230742 + 0.133219i −0.610915 0.791697i \(-0.709198\pi\)
0.380172 + 0.924916i \(0.375865\pi\)
\(200\) 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 \(0.128588\pi\)
−0.919507 + 0.393073i \(0.871412\pi\)
\(224\) −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 −0.917097 0.398664i \(-0.869474\pi\)
0.113295 0.993561i \(-0.463859\pi\)
\(228\) −6.26151 3.91706i −0.414679 0.259413i
\(229\) 18.8003 + 10.8544i 1.24236 + 0.717278i 0.969574 0.244797i \(-0.0787213\pi\)
0.272787 + 0.962075i \(0.412055\pi\)
\(230\) −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 0.778376 0.627799i \(-0.216044\pi\)
−0.154502 + 0.987993i \(0.549377\pi\)
\(234\) 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 \(-0.905700\pi\)
0.956437 0.291938i \(-0.0942999\pi\)
\(240\) −2.81237 0.0996418i −0.181538 0.00643185i
\(241\) −4.40027 + 2.54050i −0.283446 + 0.163648i −0.634982 0.772527i \(-0.718993\pi\)
0.351536 + 0.936174i \(0.385659\pi\)
\(242\) −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 −0.613755 0.789497i \(-0.710342\pi\)
0.990602 + 0.136779i \(0.0436750\pi\)
\(258\) 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 −0.802946 0.596051i \(-0.796736\pi\)
0.114722 + 0.993398i \(0.463402\pi\)
\(264\) 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 0.873048 0.487635i \(-0.162140\pi\)
−0.858828 + 0.512264i \(0.828807\pi\)
\(270\) 5.12226 2.27122i 0.311731 0.138222i
\(271\) −20.1703 11.6453i −1.22526 0.707404i −0.259225 0.965817i \(-0.583467\pi\)
−0.966035 + 0.258413i \(0.916801\pi\)
\(272\) −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 0.995668 0.0929805i \(-0.0296394\pi\)
−0.578357 + 0.815783i \(0.696306\pi\)
\(278\) 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 \(0.0655446\pi\)
−0.978874 + 0.204462i \(0.934455\pi\)
\(282\) −0.440395 + 12.4301i −0.0262252 + 0.740200i
\(283\) 3.84212 2.21825i 0.228391 0.131861i −0.381439 0.924394i \(-0.624571\pi\)
0.609829 + 0.792533i \(0.291238\pi\)
\(284\) 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 \(-0.613724\pi\)
0.349722 0.936853i \(-0.386276\pi\)
\(308\) 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 0.532556 0.846395i \(-0.321232\pi\)
−0.999277 + 0.0380092i \(0.987898\pi\)
\(312\) 2.68584 4.29338i 0.152056 0.243065i
\(313\) −3.99102 2.30422i −0.225586 0.130242i 0.382948 0.923770i \(-0.374909\pi\)
−0.608534 + 0.793528i \(0.708242\pi\)
\(314\) −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 −0.434272 0.900782i \(-0.642994\pi\)
−0.997236 + 0.0743007i \(0.976328\pi\)
\(318\) 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 −0.900209 0.435458i \(-0.856586\pi\)
0.827222 + 0.561875i \(0.189920\pi\)
\(332\) −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 −0.858771 0.512359i \(-0.828772\pi\)
0.0143301 + 0.999897i \(0.495438\pi\)
\(348\) 0.354022 9.99221i 0.0189776 0.535639i
\(349\) 13.1543i 0.704135i −0.935975 0.352067i \(-0.885479\pi\)
0.935975 0.352067i \(-0.114521\pi\)
\(350\) −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 0.969870 0.243623i \(-0.0783361\pi\)
−0.695919 + 0.718120i \(0.745003\pi\)
\(354\) 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 0.744816 0.667270i \(-0.232537\pi\)
−0.205464 + 0.978665i \(0.565870\pi\)
\(360\) 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 −0.0934122 0.995628i \(-0.529777\pi\)
0.815533 + 0.578711i \(0.196444\pi\)
\(368\) 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 −0.926604 0.376038i \(-0.877286\pi\)
0.788961 + 0.614444i \(0.210620\pi\)
\(374\) 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 −0.999746 0.0225490i \(-0.992822\pi\)
0.519401 + 0.854531i \(0.326155\pi\)
\(384\) −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 −0.743638 0.668582i \(-0.766901\pi\)
0.207190 + 0.978301i \(0.433568\pi\)
\(390\) 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 0.848902 0.528550i \(-0.177264\pi\)
−0.0332862 + 0.999446i \(0.510597\pi\)
\(398\) 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 0.919214 0.393757i \(-0.128825\pi\)
0.118603 + 0.992942i \(0.462158\pi\)
\(402\) −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 −0.818979 0.573823i \(-0.805460\pi\)
0.0874559 + 0.996168i \(0.472126\pi\)
\(410\) 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 0.145478 0.989361i \(-0.453528\pi\)
0.929551 + 0.368693i \(0.120195\pi\)
\(432\) −4.97273 + 6.82247i −0.239251 + 0.328246i
\(433\) 11.9120i 0.572454i 0.958162 + 0.286227i \(0.0924011\pi\)
−0.958162 + 0.286227i \(0.907599\pi\)
\(434\) 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 0.111553 0.993758i \(-0.464417\pi\)
−0.804843 + 0.593487i \(0.797751\pi\)
\(440\) 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 0.548480 0.836163i \(-0.315207\pi\)
−0.449899 + 0.893080i \(0.648540\pi\)
\(444\) 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 \(-0.794776\pi\)
0.799262 0.600982i \(-0.205224\pi\)
\(450\) 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 −0.822963 0.568095i \(-0.807681\pi\)
0.903466 + 0.428660i \(0.141014\pi\)
\(458\) −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 −0.739462 0.673199i \(-0.764920\pi\)
0.952738 + 0.303793i \(0.0982532\pi\)
\(468\) 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 0.999467 0.0326342i \(-0.0103896\pi\)
−0.527996 + 0.849247i \(0.677056\pi\)
\(480\) −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 0.836625 0.547777i \(-0.184526\pi\)
−0.892701 + 0.450650i \(0.851192\pi\)
\(488\) −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 \(-0.840550\pi\)
0.877138 0.480238i \(-0.159450\pi\)
\(492\) 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 0.222918 + 0.974837i \(0.428442\pi\)
−0.955693 + 0.294366i \(0.904891\pi\)
\(500\) 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 −0.221664 0.975123i \(-0.571149\pi\)
0.955313 0.295595i \(-0.0955178\pi\)
\(510\) 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 0.764092 + 0.645108i \(0.223188\pi\)
0.176634 + 0.984277i \(0.443479\pi\)
\(522\) −22.2503 1.57863i −0.973871 0.0690949i
\(523\) 33.0751 + 19.0959i 1.44627 + 0.835007i 0.998257 0.0590174i \(-0.0187967\pi\)
0.448018 + 0.894025i \(0.352130\pi\)
\(524\) 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 −0.861587 0.507611i \(-0.830529\pi\)
0.870397 + 0.492351i \(0.163862\pi\)
\(542\) 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 −0.385479 0.922717i \(-0.625964\pi\)
0.606357 + 0.795193i \(0.292630\pi\)
\(558\) 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 0.979082 0.203467i \(-0.0652208\pi\)
−0.665748 + 0.746176i \(0.731887\pi\)
\(564\) −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 0.592504 0.805567i \(-0.298139\pi\)
−0.401389 + 0.915907i \(0.631473\pi\)
\(570\) −5.04536 + 8.06513i −0.211327 + 0.337811i
\(571\) −22.8775 39.6250i −0.957394 1.65825i −0.728793 0.684734i \(-0.759918\pi\)
−0.228601 0.973520i \(-0.573415\pi\)
\(572\) −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 −0.587946 0.808900i \(-0.700063\pi\)
0.406555 + 0.913626i \(0.366730\pi\)
\(578\) −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 −0.610511 0.792008i \(-0.709036\pi\)
0.991154 + 0.132714i \(0.0423693\pi\)
\(594\) 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 −0.510209 0.860051i \(-0.670432\pi\)
0.489721 + 0.871879i \(0.337099\pi\)
\(600\) 0.187629 5.29579i 0.00765992 0.216200i
\(601\) 29.8618i 1.21809i 0.793137 + 0.609044i \(0.208447\pi\)
−0.793137 + 0.609044i \(0.791553\pi\)
\(602\) −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 0.871527 0.490348i \(-0.163130\pi\)
0.0111098 + 0.999938i \(0.496464\pi\)
\(608\) 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 0.880390 0.474251i \(-0.157281\pi\)
−0.850908 + 0.525315i \(0.823948\pi\)
\(614\) −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 \(-0.957831\pi\)
0.991238 0.132090i \(-0.0421687\pi\)
\(618\) 27.9279 + 0.989482i 1.12343 + 0.0398028i
\(619\) 18.2419 10.5319i 0.733202 0.423315i −0.0863902 0.996261i \(-0.527533\pi\)
0.819593 + 0.572947i \(0.194200\pi\)
\(620\) −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 −0.289575 0.957155i \(-0.593514\pi\)
0.684133 + 0.729357i \(0.260181\pi\)
\(642\) −25.3133 0.896846i −0.999036 0.0353957i
\(643\) 17.3489i 0.684173i −0.939668 0.342087i \(-0.888866\pi\)
0.939668 0.342087i \(-0.111134\pi\)
\(644\) 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 0.932934 0.360048i \(-0.117240\pi\)
−0.778278 + 0.627920i \(0.783906\pi\)
\(648\) −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 0.465665 0.884961i \(-0.345815\pi\)
−0.533567 + 0.845758i \(0.679149\pi\)
\(654\) 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 \(0.338183\pi\)
−0.486747 + 0.873543i \(0.661817\pi\)
\(660\) −0.227950 + 6.43383i −0.00887293 + 0.250437i
\(661\) 10.4404 6.02776i 0.406084 0.234453i −0.283022 0.959113i \(-0.591337\pi\)
0.689106 + 0.724661i \(0.258004\pi\)
\(662\) 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 −0.995219 0.0976651i \(-0.968863\pi\)
0.582190 + 0.813053i \(0.302196\pi\)
\(678\) 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 −0.758943 0.651157i \(-0.774284\pi\)
0.184447 + 0.982843i \(0.440951\pi\)
\(684\) −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 0.260114 0.965578i \(-0.416240\pi\)
−0.706158 + 0.708054i \(0.749573\pi\)
\(692\) −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 \(-0.709908\pi\)
0.612679 0.790332i \(-0.290092\pi\)
\(702\) 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 −0.0235552 0.999723i \(-0.507499\pi\)
0.877563 0.479462i \(-0.159168\pi\)
\(710\) −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 −0.868149 0.496304i \(-0.834690\pi\)
0.863886 + 0.503687i \(0.168024\pi\)
\(720\) −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 \(-0.883946\pi\)
0.934269 0.356570i \(-0.116054\pi\)
\(728\) −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 0.362101 0.932139i \(-0.382059\pi\)
−0.626205 + 0.779658i \(0.715393\pi\)
\(734\) −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 0.945331 0.326114i \(-0.105739\pi\)
−0.755088 + 0.655623i \(0.772406\pi\)
\(740\) 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 \(-0.756463\pi\)
0.721318 0.692604i \(-0.243537\pi\)
\(744\) 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 −0.147968 0.988992i \(-0.547273\pi\)
0.930476 0.366352i \(-0.119394\pi\)
\(752\) −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 0.288939 + 0.957347i \(0.406697\pi\)
−0.973557 + 0.228445i \(0.926636\pi\)
\(762\) −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 \(0.205469\pi\)
−0.798800 + 0.601597i \(0.794531\pi\)
\(770\) 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 0.855530 0.517753i \(-0.173231\pi\)
−0.876152