Properties

Label 354.2.e.b.205.2
Level 354
Weight 2
Character 354.205
Analytic conductor 2.827
Analytic rank 0
Dimension 56
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 354.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.82670423155\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(2\) over \(\Q(\zeta_{29})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 205.2
Character \(\chi\) = 354.205
Dual form 354.2.e.b.19.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.468408 - 0.883512i) q^{2} +(0.725995 + 0.687699i) q^{3} +(-0.561187 + 0.827689i) q^{4} +(3.92252 + 0.863413i) q^{5} +(0.267528 - 0.963550i) q^{6} +(-0.604650 - 0.459643i) q^{7} +(0.994138 + 0.108119i) q^{8} +(0.0541389 + 0.998533i) q^{9} +O(q^{10})\) \(q+(-0.468408 - 0.883512i) q^{2} +(0.725995 + 0.687699i) q^{3} +(-0.561187 + 0.827689i) q^{4} +(3.92252 + 0.863413i) q^{5} +(0.267528 - 0.963550i) q^{6} +(-0.604650 - 0.459643i) q^{7} +(0.994138 + 0.108119i) q^{8} +(0.0541389 + 0.998533i) q^{9} +(-1.07451 - 3.87003i) q^{10} +(-0.299077 + 0.750627i) q^{11} +(-0.976621 + 0.214970i) q^{12} +(0.00237843 - 0.0438676i) q^{13} +(-0.122877 + 0.749516i) q^{14} +(2.25397 + 3.32435i) q^{15} +(-0.370138 - 0.928977i) q^{16} +(-3.64238 + 2.76887i) q^{17} +(0.856857 - 0.515554i) q^{18} +(5.62069 + 1.89383i) q^{19} +(-2.91591 + 2.76209i) q^{20} +(-0.122877 - 0.749516i) q^{21} +(0.803279 - 0.0873618i) q^{22} +(-6.09993 - 3.67021i) q^{23} +(0.647386 + 0.762162i) q^{24} +(10.1028 + 4.67407i) q^{25} +(-0.0398717 + 0.0184466i) q^{26} +(-0.647386 + 0.762162i) q^{27} +(0.719763 - 0.242516i) q^{28} +(3.97100 - 7.49010i) q^{29} +(1.88133 - 3.54856i) q^{30} +(-3.23255 + 1.08917i) q^{31} +(-0.647386 + 0.762162i) q^{32} +(-0.733335 + 0.339277i) q^{33} +(4.15245 + 1.92113i) q^{34} +(-1.97489 - 2.32502i) q^{35} +(-0.856857 - 0.515554i) q^{36} +(6.37265 - 0.693068i) q^{37} +(-0.959556 - 5.85303i) q^{38} +(0.0318945 - 0.0302121i) q^{39} +(3.80618 + 1.28245i) q^{40} +(3.43549 - 2.06706i) q^{41} +(-0.604650 + 0.459643i) q^{42} +(-1.90101 - 4.77116i) q^{43} +(-0.453448 - 0.668785i) q^{44} +(-0.649786 + 3.96352i) q^{45} +(-0.385413 + 7.10852i) q^{46} +(-4.68291 + 1.03079i) q^{47} +(0.370138 - 0.928977i) q^{48} +(-1.71837 - 6.18900i) q^{49} +(-0.602657 - 11.1154i) q^{50} +(-4.54850 - 0.494680i) q^{51} +(0.0349740 + 0.0265866i) q^{52} +(-2.33867 + 8.42313i) q^{53} +(0.976621 + 0.214970i) q^{54} +(-1.82124 + 2.68613i) q^{55} +(-0.551409 - 0.522322i) q^{56} +(2.77821 + 5.24026i) q^{57} -8.47764 q^{58} +(-4.69358 - 6.08032i) q^{59} -4.01643 q^{60} +(-1.52570 - 2.87777i) q^{61} +(2.47645 + 2.34582i) q^{62} +(0.426233 - 0.628647i) q^{63} +(0.976621 + 0.214970i) q^{64} +(0.0472054 - 0.170018i) q^{65} +(0.643255 + 0.488990i) q^{66} +(7.12530 + 0.774923i) q^{67} +(-0.247703 - 4.56861i) q^{68} +(-1.90452 - 6.85947i) q^{69} +(-1.12913 + 2.83390i) q^{70} +(-15.3701 + 3.38321i) q^{71} +(-0.0541389 + 0.998533i) q^{72} +(-0.871827 + 5.31791i) q^{73} +(-3.59734 - 5.30568i) q^{74} +(4.12026 + 10.3411i) q^{75} +(-4.72176 + 3.58939i) q^{76} +(0.525857 - 0.316398i) q^{77} +(-0.0416324 - 0.0140276i) q^{78} +(-0.0990001 + 0.0937778i) q^{79} +(-0.649786 - 3.96352i) q^{80} +(-0.994138 + 0.108119i) q^{81} +(-3.43549 - 2.06706i) q^{82} +(-2.39648 - 2.82135i) q^{83} +(0.689323 + 0.318915i) q^{84} +(-16.6780 + 7.71607i) q^{85} +(-3.32493 + 3.91442i) q^{86} +(8.03386 - 2.70692i) q^{87} +(-0.378481 + 0.713891i) q^{88} +(-6.37807 + 12.0303i) q^{89} +(3.80618 - 1.28245i) q^{90} +(-0.0216016 + 0.0254313i) q^{91} +(6.46099 - 2.98917i) q^{92} +(-3.09584 - 1.43229i) q^{93} +(3.10423 + 3.65458i) q^{94} +(20.4121 + 12.2816i) q^{95} +(-0.994138 + 0.108119i) q^{96} +(-0.451929 - 2.75664i) q^{97} +(-4.66316 + 4.41718i) q^{98} +(-0.765718 - 0.258000i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + q^{7} + 2q^{8} - 2q^{9} + O(q^{10}) \) \( 56q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + q^{7} + 2q^{8} - 2q^{9} + 2q^{10} + 30q^{11} + 2q^{12} + 5q^{13} + 28q^{14} + 2q^{15} - 2q^{16} - 3q^{17} + 2q^{18} - 4q^{19} - 2q^{20} + 28q^{21} - q^{22} - 2q^{23} - 2q^{24} + 64q^{25} - 34q^{26} + 2q^{27} + q^{28} + 8q^{29} - 2q^{30} + 2q^{32} - q^{33} + 32q^{34} - 87q^{35} - 2q^{36} + 47q^{37} + 4q^{38} - 5q^{39} + 2q^{40} + 3q^{41} + q^{42} - 61q^{43} + q^{44} - 2q^{45} - 27q^{46} + 50q^{47} + 2q^{48} - 45q^{49} - 6q^{50} + 3q^{51} - 24q^{52} - 27q^{53} - 2q^{54} - 95q^{55} - q^{56} + 4q^{57} + 50q^{58} - 58q^{59} + 2q^{60} - 74q^{61} - 29q^{62} + q^{63} - 2q^{64} - 17q^{65} + q^{66} + 4q^{67} - 32q^{68} + 31q^{69} - 58q^{70} - 47q^{71} + 2q^{72} + 43q^{73} - 18q^{74} - 6q^{75} - 33q^{76} - 5q^{77} + 5q^{78} + 19q^{79} - 2q^{80} - 2q^{81} - 3q^{82} + 47q^{83} - q^{84} - 149q^{85} - 55q^{86} + 21q^{87} + 28q^{88} + 36q^{89} + 2q^{90} + 175q^{91} - 2q^{92} - 29q^{93} - 21q^{94} + 50q^{95} - 2q^{96} + 10q^{97} - 13q^{98} + q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{10}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.468408 0.883512i −0.331215 0.624737i
\(3\) 0.725995 + 0.687699i 0.419154 + 0.397043i
\(4\) −0.561187 + 0.827689i −0.280594 + 0.413844i
\(5\) 3.92252 + 0.863413i 1.75421 + 0.386130i 0.971645 0.236444i \(-0.0759818\pi\)
0.782561 + 0.622574i \(0.213913\pi\)
\(6\) 0.267528 0.963550i 0.109218 0.393368i
\(7\) −0.604650 0.459643i −0.228536 0.173729i 0.484640 0.874714i \(-0.338951\pi\)
−0.713176 + 0.700985i \(0.752744\pi\)
\(8\) 0.994138 + 0.108119i 0.351481 + 0.0382258i
\(9\) 0.0541389 + 0.998533i 0.0180463 + 0.332844i
\(10\) −1.07451 3.87003i −0.339789 1.22381i
\(11\) −0.299077 + 0.750627i −0.0901752 + 0.226323i −0.967146 0.254220i \(-0.918181\pi\)
0.876971 + 0.480543i \(0.159560\pi\)
\(12\) −0.976621 + 0.214970i −0.281926 + 0.0620566i
\(13\) 0.00237843 0.0438676i 0.000659659 0.0121667i −0.998185 0.0602213i \(-0.980819\pi\)
0.998845 + 0.0480546i \(0.0153021\pi\)
\(14\) −0.122877 + 0.749516i −0.0328402 + 0.200316i
\(15\) 2.25397 + 3.32435i 0.581972 + 0.858344i
\(16\) −0.370138 0.928977i −0.0925345 0.232244i
\(17\) −3.64238 + 2.76887i −0.883408 + 0.671549i −0.945183 0.326541i \(-0.894117\pi\)
0.0617752 + 0.998090i \(0.480324\pi\)
\(18\) 0.856857 0.515554i 0.201963 0.121517i
\(19\) 5.62069 + 1.89383i 1.28947 + 0.434474i 0.878749 0.477285i \(-0.158379\pi\)
0.410725 + 0.911759i \(0.365276\pi\)
\(20\) −2.91591 + 2.76209i −0.652017 + 0.617623i
\(21\) −0.122877 0.749516i −0.0268139 0.163558i
\(22\) 0.803279 0.0873618i 0.171260 0.0186256i
\(23\) −6.09993 3.67021i −1.27192 0.765291i −0.290450 0.956890i \(-0.593805\pi\)
−0.981473 + 0.191599i \(0.938633\pi\)
\(24\) 0.647386 + 0.762162i 0.132147 + 0.155576i
\(25\) 10.1028 + 4.67407i 2.02057 + 0.934815i
\(26\) −0.0398717 + 0.0184466i −0.00781948 + 0.00361768i
\(27\) −0.647386 + 0.762162i −0.124590 + 0.146678i
\(28\) 0.719763 0.242516i 0.136022 0.0458313i
\(29\) 3.97100 7.49010i 0.737396 1.39088i −0.176242 0.984347i \(-0.556394\pi\)
0.913638 0.406529i \(-0.133261\pi\)
\(30\) 1.88133 3.54856i 0.343482 0.647876i
\(31\) −3.23255 + 1.08917i −0.580584 + 0.195621i −0.594243 0.804285i \(-0.702548\pi\)
0.0136596 + 0.999907i \(0.495652\pi\)
\(32\) −0.647386 + 0.762162i −0.114443 + 0.134732i
\(33\) −0.733335 + 0.339277i −0.127657 + 0.0590605i
\(34\) 4.15245 + 1.92113i 0.712140 + 0.329471i
\(35\) −1.97489 2.32502i −0.333818 0.393000i
\(36\) −0.856857 0.515554i −0.142810 0.0859256i
\(37\) 6.37265 0.693068i 1.04766 0.113940i 0.431937 0.901904i \(-0.357830\pi\)
0.615721 + 0.787964i \(0.288865\pi\)
\(38\) −0.959556 5.85303i −0.155660 0.949487i
\(39\) 0.0318945 0.0302121i 0.00510720 0.00483780i
\(40\) 3.80618 + 1.28245i 0.601810 + 0.202773i
\(41\) 3.43549 2.06706i 0.536533 0.322821i −0.221369 0.975190i \(-0.571052\pi\)
0.757901 + 0.652369i \(0.226225\pi\)
\(42\) −0.604650 + 0.459643i −0.0932994 + 0.0709244i
\(43\) −1.90101 4.77116i −0.289901 0.727596i −0.999730 0.0232224i \(-0.992607\pi\)
0.709830 0.704373i \(-0.248772\pi\)
\(44\) −0.453448 0.668785i −0.0683598 0.100823i
\(45\) −0.649786 + 3.96352i −0.0968643 + 0.590846i
\(46\) −0.385413 + 7.10852i −0.0568260 + 1.04809i
\(47\) −4.68291 + 1.03079i −0.683073 + 0.150356i −0.542933 0.839776i \(-0.682686\pi\)
−0.140140 + 0.990132i \(0.544755\pi\)
\(48\) 0.370138 0.928977i 0.0534248 0.134086i
\(49\) −1.71837 6.18900i −0.245481 0.884144i
\(50\) −0.602657 11.1154i −0.0852286 1.57195i
\(51\) −4.54850 0.494680i −0.636918 0.0692690i
\(52\) 0.0349740 + 0.0265866i 0.00485002 + 0.00368689i
\(53\) −2.33867 + 8.42313i −0.321241 + 1.15701i 0.609940 + 0.792448i \(0.291194\pi\)
−0.931181 + 0.364558i \(0.881220\pi\)
\(54\) 0.976621 + 0.214970i 0.132901 + 0.0292538i
\(55\) −1.82124 + 2.68613i −0.245576 + 0.362197i
\(56\) −0.551409 0.522322i −0.0736851 0.0697982i
\(57\) 2.77821 + 5.24026i 0.367983 + 0.694089i
\(58\) −8.47764 −1.11317
\(59\) −4.69358 6.08032i −0.611051 0.791591i
\(60\) −4.01643 −0.518518
\(61\) −1.52570 2.87777i −0.195346 0.368461i 0.766418 0.642343i \(-0.222037\pi\)
−0.961764 + 0.273881i \(0.911692\pi\)
\(62\) 2.47645 + 2.34582i 0.314510 + 0.297920i
\(63\) 0.426233 0.628647i 0.0537004 0.0792021i
\(64\) 0.976621 + 0.214970i 0.122078 + 0.0268713i
\(65\) 0.0472054 0.170018i 0.00585510 0.0210882i
\(66\) 0.643255 + 0.488990i 0.0791792 + 0.0601905i
\(67\) 7.12530 + 0.774923i 0.870494 + 0.0946720i 0.532453 0.846459i \(-0.321270\pi\)
0.338041 + 0.941131i \(0.390236\pi\)
\(68\) −0.247703 4.56861i −0.0300384 0.554026i
\(69\) −1.90452 6.85947i −0.229278 0.825783i
\(70\) −1.12913 + 2.83390i −0.134957 + 0.338716i
\(71\) −15.3701 + 3.38321i −1.82409 + 0.401513i −0.988916 0.148473i \(-0.952564\pi\)
−0.835174 + 0.549986i \(0.814633\pi\)
\(72\) −0.0541389 + 0.998533i −0.00638033 + 0.117678i
\(73\) −0.871827 + 5.31791i −0.102040 + 0.622414i 0.885450 + 0.464734i \(0.153850\pi\)
−0.987490 + 0.157681i \(0.949598\pi\)
\(74\) −3.59734 5.30568i −0.418182 0.616773i
\(75\) 4.12026 + 10.3411i 0.475767 + 1.19408i
\(76\) −4.72176 + 3.58939i −0.541623 + 0.411731i
\(77\) 0.525857 0.316398i 0.0599270 0.0360569i
\(78\) −0.0416324 0.0140276i −0.00471394 0.00158831i
\(79\) −0.0990001 + 0.0937778i −0.0111384 + 0.0105508i −0.693248 0.720699i \(-0.743821\pi\)
0.682110 + 0.731250i \(0.261063\pi\)
\(80\) −0.649786 3.96352i −0.0726482 0.443135i
\(81\) −0.994138 + 0.108119i −0.110460 + 0.0120132i
\(82\) −3.43549 2.06706i −0.379386 0.228269i
\(83\) −2.39648 2.82135i −0.263048 0.309684i 0.614743 0.788727i \(-0.289260\pi\)
−0.877791 + 0.479043i \(0.840984\pi\)
\(84\) 0.689323 + 0.318915i 0.0752113 + 0.0347964i
\(85\) −16.6780 + 7.71607i −1.80899 + 0.836926i
\(86\) −3.32493 + 3.91442i −0.358537 + 0.422102i
\(87\) 8.03386 2.70692i 0.861320 0.290213i
\(88\) −0.378481 + 0.713891i −0.0403462 + 0.0761010i
\(89\) −6.37807 + 12.0303i −0.676074 + 1.27521i 0.273561 + 0.961855i \(0.411798\pi\)
−0.949635 + 0.313357i \(0.898546\pi\)
\(90\) 3.80618 1.28245i 0.401207 0.135182i
\(91\) −0.0216016 + 0.0254313i −0.00226446 + 0.00266593i
\(92\) 6.46099 2.98917i 0.673605 0.311643i
\(93\) −3.09584 1.43229i −0.321024 0.148522i
\(94\) 3.10423 + 3.65458i 0.320177 + 0.376941i
\(95\) 20.4121 + 12.2816i 2.09424 + 1.26006i
\(96\) −0.994138 + 0.108119i −0.101464 + 0.0110349i
\(97\) −0.451929 2.75664i −0.0458864 0.279895i 0.953910 0.300094i \(-0.0970181\pi\)
−0.999796 + 0.0201995i \(0.993570\pi\)
\(98\) −4.66316 + 4.41718i −0.471050 + 0.446203i
\(99\) −0.765718 0.258000i −0.0769576 0.0259300i
\(100\) −9.53826 + 5.73898i −0.953826 + 0.573898i
\(101\) 2.97909 2.26464i 0.296430 0.225340i −0.446378 0.894844i \(-0.647286\pi\)
0.742808 + 0.669504i \(0.233493\pi\)
\(102\) 1.69350 + 4.25037i 0.167682 + 0.420849i
\(103\) −4.74894 7.00416i −0.467927 0.690141i 0.518363 0.855161i \(-0.326542\pi\)
−0.986290 + 0.165020i \(0.947231\pi\)
\(104\) 0.00710742 0.0433533i 0.000696940 0.00425114i
\(105\) 0.165154 3.04609i 0.0161174 0.297268i
\(106\) 8.53739 1.87922i 0.829224 0.182526i
\(107\) 0.0559480 0.140419i 0.00540870 0.0135748i −0.926248 0.376916i \(-0.876985\pi\)
0.931656 + 0.363341i \(0.118364\pi\)
\(108\) −0.267528 0.963550i −0.0257429 0.0927176i
\(109\) −0.271468 5.00693i −0.0260019 0.479577i −0.982315 0.187234i \(-0.940048\pi\)
0.956314 0.292343i \(-0.0944349\pi\)
\(110\) 3.22631 + 0.350882i 0.307617 + 0.0334553i
\(111\) 5.10314 + 3.87931i 0.484369 + 0.368207i
\(112\) −0.203193 + 0.731837i −0.0192000 + 0.0691521i
\(113\) −14.0174 3.08546i −1.31864 0.290255i −0.500733 0.865602i \(-0.666936\pi\)
−0.817910 + 0.575346i \(0.804867\pi\)
\(114\) 3.32849 4.90916i 0.311742 0.459785i
\(115\) −20.7582 19.6632i −1.93571 1.83361i
\(116\) 3.97100 + 7.49010i 0.368698 + 0.695438i
\(117\) 0.0439321 0.00406152
\(118\) −3.17353 + 6.99491i −0.292147 + 0.643933i
\(119\) 3.47506 0.318558
\(120\) 1.88133 + 3.54856i 0.171741 + 0.323938i
\(121\) 7.51196 + 7.11570i 0.682905 + 0.646882i
\(122\) −1.82790 + 2.69595i −0.165490 + 0.244080i
\(123\) 3.91567 + 0.861903i 0.353064 + 0.0777152i
\(124\) 0.912570 3.28678i 0.0819512 0.295162i
\(125\) 19.6058 + 14.9039i 1.75359 + 1.33305i
\(126\) −0.755069 0.0821187i −0.0672669 0.00731571i
\(127\) −0.00399882 0.0737540i −0.000354838 0.00654460i 0.998351 0.0574109i \(-0.0182845\pi\)
−0.998705 + 0.0508663i \(0.983802\pi\)
\(128\) −0.267528 0.963550i −0.0236464 0.0851666i
\(129\) 1.90101 4.77116i 0.167374 0.420078i
\(130\) −0.172325 + 0.0379315i −0.0151139 + 0.00332681i
\(131\) 0.815750 15.0456i 0.0712724 1.31454i −0.716071 0.698027i \(-0.754061\pi\)
0.787344 0.616514i \(-0.211456\pi\)
\(132\) 0.130722 0.797371i 0.0113779 0.0694022i
\(133\) −2.52806 3.72861i −0.219211 0.323312i
\(134\) −2.65290 6.65827i −0.229175 0.575187i
\(135\) −3.19745 + 2.43064i −0.275193 + 0.209196i
\(136\) −3.92040 + 2.35883i −0.336171 + 0.202268i
\(137\) −11.9370 4.02206i −1.01985 0.343628i −0.240790 0.970577i \(-0.577407\pi\)
−0.779060 + 0.626950i \(0.784303\pi\)
\(138\) −5.16833 + 4.89570i −0.439958 + 0.416750i
\(139\) −2.01626 12.2987i −0.171017 1.04316i −0.923233 0.384242i \(-0.874463\pi\)
0.752215 0.658917i \(-0.228985\pi\)
\(140\) 3.03268 0.329824i 0.256308 0.0278752i
\(141\) −4.10864 2.47209i −0.346010 0.208187i
\(142\) 10.1886 + 11.9949i 0.855006 + 1.00659i
\(143\) 0.0322169 + 0.0149051i 0.00269411 + 0.00124643i
\(144\) 0.907575 0.419889i 0.0756313 0.0349908i
\(145\) 22.0434 25.9515i 1.83060 2.15515i
\(146\) 5.10681 1.72068i 0.422643 0.142405i
\(147\) 3.00865 5.67491i 0.248149 0.468059i
\(148\) −3.00261 + 5.66352i −0.246813 + 0.465538i
\(149\) 7.09844 2.39174i 0.581527 0.195939i −0.0131371 0.999914i \(-0.504182\pi\)
0.594664 + 0.803975i \(0.297285\pi\)
\(150\) 7.20650 8.48415i 0.588408 0.692728i
\(151\) −11.1644 + 5.16520i −0.908545 + 0.420338i −0.817778 0.575534i \(-0.804794\pi\)
−0.0907675 + 0.995872i \(0.528932\pi\)
\(152\) 5.38298 + 2.49043i 0.436617 + 0.202001i
\(153\) −2.96200 3.48714i −0.239464 0.281918i
\(154\) −0.525857 0.316398i −0.0423748 0.0254961i
\(155\) −13.6202 + 1.48128i −1.09400 + 0.118980i
\(156\) 0.00710742 + 0.0433533i 0.000569049 + 0.00347104i
\(157\) −14.3035 + 13.5490i −1.14154 + 1.08132i −0.145782 + 0.989317i \(0.546570\pi\)
−0.995758 + 0.0920082i \(0.970671\pi\)
\(158\) 0.129226 + 0.0435414i 0.0102807 + 0.00346397i
\(159\) −7.49044 + 4.50685i −0.594031 + 0.357417i
\(160\) −3.19745 + 2.43064i −0.252781 + 0.192159i
\(161\) 2.00134 + 5.02298i 0.157727 + 0.395866i
\(162\) 0.561187 + 0.827689i 0.0440910 + 0.0650294i
\(163\) −1.98082 + 12.0825i −0.155150 + 0.946371i 0.788405 + 0.615156i \(0.210907\pi\)
−0.943555 + 0.331215i \(0.892541\pi\)
\(164\) −0.217065 + 4.00352i −0.0169499 + 0.312623i
\(165\) −3.16946 + 0.697651i −0.246742 + 0.0543120i
\(166\) −1.37017 + 3.43887i −0.106346 + 0.266908i
\(167\) −1.59374 5.74015i −0.123328 0.444186i 0.875941 0.482418i \(-0.160241\pi\)
−0.999269 + 0.0382317i \(0.987828\pi\)
\(168\) −0.0411196 0.758407i −0.00317245 0.0585124i
\(169\) 12.9219 + 1.40534i 0.993990 + 0.108103i
\(170\) 14.6294 + 11.1210i 1.12202 + 0.852938i
\(171\) −1.58675 + 5.71497i −0.121342 + 0.437035i
\(172\) 5.01586 + 1.10407i 0.382456 + 0.0841849i
\(173\) 10.0434 14.8129i 0.763584 1.12620i −0.224826 0.974399i \(-0.572182\pi\)
0.988411 0.151804i \(-0.0485081\pi\)
\(174\) −6.15473 5.83007i −0.466589 0.441976i
\(175\) −3.96028 7.46987i −0.299369 0.564669i
\(176\) 0.808015 0.0609064
\(177\) 0.773921 7.64206i 0.0581715 0.574412i
\(178\) 13.6165 1.02060
\(179\) 9.97224 + 18.8096i 0.745360 + 1.40590i 0.907896 + 0.419195i \(0.137688\pi\)
−0.162536 + 0.986703i \(0.551967\pi\)
\(180\) −2.91591 2.76209i −0.217339 0.205874i
\(181\) 9.88792 14.5836i 0.734963 1.08399i −0.258067 0.966127i \(-0.583085\pi\)
0.993030 0.117863i \(-0.0376042\pi\)
\(182\) 0.0325872 + 0.00717299i 0.00241553 + 0.000531697i
\(183\) 0.871393 3.13847i 0.0644152 0.232003i
\(184\) −5.66735 4.30821i −0.417803 0.317605i
\(185\) 25.5953 + 2.78366i 1.88180 + 0.204659i
\(186\) 0.184674 + 3.40611i 0.0135410 + 0.249748i
\(187\) −0.989034 3.56218i −0.0723253 0.260492i
\(188\) 1.77482 4.45446i 0.129442 0.324875i
\(189\) 0.741764 0.163275i 0.0539554 0.0118765i
\(190\) 1.28970 23.7872i 0.0935648 1.72570i
\(191\) 0.723664 4.41416i 0.0523625 0.319397i −0.947638 0.319348i \(-0.896536\pi\)
1.00000 4.90507e-5i \(-1.56133e-5\pi\)
\(192\) 0.561187 + 0.827689i 0.0405002 + 0.0597333i
\(193\) 8.90683 + 22.3545i 0.641128 + 1.60911i 0.784988 + 0.619511i \(0.212669\pi\)
−0.143860 + 0.989598i \(0.545951\pi\)
\(194\) −2.22384 + 1.69052i −0.159662 + 0.121372i
\(195\) 0.151192 0.0909694i 0.0108271 0.00651446i
\(196\) 6.08690 + 2.05091i 0.434778 + 0.146494i
\(197\) 14.5982 13.8281i 1.04008 0.985212i 0.0401733 0.999193i \(-0.487209\pi\)
0.999902 + 0.0139809i \(0.00445039\pi\)
\(198\) 0.130722 + 0.797371i 0.00929003 + 0.0566667i
\(199\) 13.3196 1.44859i 0.944200 0.102688i 0.376950 0.926234i \(-0.376973\pi\)
0.567250 + 0.823546i \(0.308007\pi\)
\(200\) 9.53826 + 5.73898i 0.674457 + 0.405807i
\(201\) 4.64002 + 5.46266i 0.327282 + 0.385306i
\(202\) −3.39627 1.57128i −0.238960 0.110555i
\(203\) −5.84383 + 2.70364i −0.410156 + 0.189759i
\(204\) 2.96200 3.48714i 0.207382 0.244149i
\(205\) 15.2605 5.14187i 1.06584 0.359123i
\(206\) −3.96382 + 7.47656i −0.276172 + 0.520916i
\(207\) 3.33458 6.28968i 0.231769 0.437163i
\(208\) −0.0416324 + 0.0140276i −0.00288669 + 0.000972637i
\(209\) −3.10258 + 3.65264i −0.214610 + 0.252658i
\(210\) −2.76861 + 1.28090i −0.191053 + 0.0883903i
\(211\) 22.3294 + 10.3307i 1.53722 + 0.711195i 0.991899 0.127031i \(-0.0405446\pi\)
0.545324 + 0.838225i \(0.316407\pi\)
\(212\) −5.65930 6.66264i −0.388682 0.457592i
\(213\) −13.4852 8.11379i −0.923992 0.555948i
\(214\) −0.150268 + 0.0163427i −0.0102721 + 0.00111716i
\(215\) −3.33726 20.3564i −0.227599 1.38829i
\(216\) −0.725995 + 0.687699i −0.0493977 + 0.0467920i
\(217\) 2.45519 + 0.827251i 0.166669 + 0.0561574i
\(218\) −4.29652 + 2.58513i −0.290997 + 0.175087i
\(219\) −4.29007 + 3.26122i −0.289896 + 0.220373i
\(220\) −1.20122 3.01484i −0.0809864 0.203260i
\(221\) 0.112801 + 0.166368i 0.00758779 + 0.0111911i
\(222\) 1.03706 6.32579i 0.0696029 0.424559i
\(223\) 0.222321 4.10046i 0.0148877 0.274587i −0.981606 0.190918i \(-0.938853\pi\)
0.996494 0.0836690i \(-0.0266638\pi\)
\(224\) 0.741764 0.163275i 0.0495612 0.0109092i
\(225\) −4.12026 + 10.3411i −0.274684 + 0.689405i
\(226\) 3.83982 + 13.8298i 0.255421 + 0.919942i
\(227\) 1.24291 + 22.9240i 0.0824945 + 1.52152i 0.688017 + 0.725694i \(0.258481\pi\)
−0.605523 + 0.795828i \(0.707036\pi\)
\(228\) −5.89640 0.641272i −0.390498 0.0424693i
\(229\) 4.40785 + 3.35076i 0.291279 + 0.221425i 0.740601 0.671945i \(-0.234541\pi\)
−0.449321 + 0.893370i \(0.648334\pi\)
\(230\) −7.64938 + 27.5506i −0.504385 + 1.81663i
\(231\) 0.599356 + 0.131928i 0.0394348 + 0.00868025i
\(232\) 4.75754 7.01685i 0.312348 0.460679i
\(233\) −19.5291 18.4990i −1.27939 1.21191i −0.964891 0.262651i \(-0.915403\pi\)
−0.314503 0.949256i \(-0.601838\pi\)
\(234\) −0.0205782 0.0388145i −0.00134524 0.00253738i
\(235\) −19.2588 −1.25631
\(236\) 7.66659 0.472621i 0.499053 0.0307650i
\(237\) −0.136365 −0.00885783
\(238\) −1.62775 3.07025i −0.105511 0.199015i
\(239\) 18.7567 + 17.7673i 1.21327 + 1.14927i 0.984424 + 0.175810i \(0.0562545\pi\)
0.228848 + 0.973462i \(0.426504\pi\)
\(240\) 2.25397 3.32435i 0.145493 0.214586i
\(241\) −13.1798 2.90109i −0.848985 0.186876i −0.230891 0.972980i \(-0.574164\pi\)
−0.618094 + 0.786104i \(0.712095\pi\)
\(242\) 2.76815 9.96996i 0.177943 0.640893i
\(243\) −0.796093 0.605174i −0.0510694 0.0388219i
\(244\) 3.23811 + 0.352165i 0.207298 + 0.0225451i
\(245\) −1.39668 25.7602i −0.0892304 1.64576i
\(246\) −1.07263 3.86326i −0.0683883 0.246313i
\(247\) 0.0964463 0.242062i 0.00613673 0.0154020i
\(248\) −3.33136 + 0.733289i −0.211542 + 0.0465639i
\(249\) 0.200410 3.69635i 0.0127005 0.234247i
\(250\) 3.98428 24.3030i 0.251988 1.53706i
\(251\) 7.45053 + 10.9887i 0.470274 + 0.693602i 0.986667 0.162750i \(-0.0520363\pi\)
−0.516394 + 0.856351i \(0.672726\pi\)
\(252\) 0.281128 + 0.705577i 0.0177094 + 0.0444472i
\(253\) 4.57931 3.48110i 0.287899 0.218855i
\(254\) −0.0632894 + 0.0380800i −0.00397113 + 0.00238935i
\(255\) −17.4145 5.86763i −1.09054 0.367445i
\(256\) −0.725995 + 0.687699i −0.0453747 + 0.0429812i
\(257\) 4.85359 + 29.6056i 0.302758 + 1.84674i 0.499531 + 0.866296i \(0.333506\pi\)
−0.196773 + 0.980449i \(0.563046\pi\)
\(258\) −5.10583 + 0.555292i −0.317875 + 0.0345710i
\(259\) −4.17179 2.51008i −0.259222 0.155969i
\(260\) 0.114231 + 0.134483i 0.00708432 + 0.00834031i
\(261\) 7.69410 + 3.55967i 0.476253 + 0.220338i
\(262\) −13.6751 + 6.32677i −0.844850 + 0.390869i
\(263\) −8.09092 + 9.52537i −0.498907 + 0.587359i −0.952763 0.303716i \(-0.901773\pi\)
0.453855 + 0.891076i \(0.350048\pi\)
\(264\) −0.765718 + 0.258000i −0.0471267 + 0.0158788i
\(265\) −16.4461 + 31.0207i −1.01028 + 1.90559i
\(266\) −2.11011 + 3.98008i −0.129379 + 0.244035i
\(267\) −12.9037 + 4.34776i −0.789693 + 0.266079i
\(268\) −4.64002 + 5.46266i −0.283435 + 0.333685i
\(269\) −12.2695 + 5.67650i −0.748087 + 0.346102i −0.756614 0.653862i \(-0.773148\pi\)
0.00852677 + 0.999964i \(0.497286\pi\)
\(270\) 3.64521 + 1.68645i 0.221840 + 0.102634i
\(271\) −7.64751 9.00334i −0.464553 0.546914i 0.479139 0.877739i \(-0.340949\pi\)
−0.943692 + 0.330825i \(0.892673\pi\)
\(272\) 3.92040 + 2.35883i 0.237709 + 0.143025i
\(273\) −0.0331717 + 0.00360764i −0.00200764 + 0.000218345i
\(274\) 2.03787 + 12.4305i 0.123113 + 0.750953i
\(275\) −6.53002 + 6.18556i −0.393775 + 0.373003i
\(276\) 6.74630 + 2.27309i 0.406080 + 0.136824i
\(277\) −15.1946 + 9.14228i −0.912955 + 0.549307i −0.892781 0.450490i \(-0.851249\pi\)
−0.0201731 + 0.999797i \(0.506422\pi\)
\(278\) −9.92158 + 7.54219i −0.595057 + 0.452350i
\(279\) −1.26258 3.16885i −0.0755889 0.189714i
\(280\) −1.71194 2.52492i −0.102308 0.150893i
\(281\) −1.44002 + 8.78373i −0.0859043 + 0.523993i 0.908460 + 0.417973i \(0.137259\pi\)
−0.994364 + 0.106021i \(0.966189\pi\)
\(282\) −0.259597 + 4.78798i −0.0154588 + 0.285120i
\(283\) −15.8768 + 3.49474i −0.943775 + 0.207741i −0.660098 0.751179i \(-0.729485\pi\)
−0.283677 + 0.958920i \(0.591554\pi\)
\(284\) 5.82524 14.6202i 0.345664 0.867552i
\(285\) 6.37308 + 22.9538i 0.377509 + 1.35966i
\(286\) −0.00192181 0.0354457i −0.000113639 0.00209595i
\(287\) −3.02738 0.329247i −0.178700 0.0194348i
\(288\) −0.796093 0.605174i −0.0469102 0.0356602i
\(289\) 1.05235 3.79021i 0.0619028 0.222954i
\(290\) −33.2538 7.31970i −1.95273 0.429828i
\(291\) 1.56764 2.31210i 0.0918969 0.135538i
\(292\) −3.91232 3.70595i −0.228951 0.216874i
\(293\) −5.54476 10.4585i −0.323928 0.610994i 0.667050 0.745013i \(-0.267557\pi\)
−0.990979 + 0.134019i \(0.957212\pi\)
\(294\) −6.42313 −0.374604
\(295\) −13.1608 27.9027i −0.766253 1.62456i
\(296\) 6.41023 0.372587
\(297\) −0.378481 0.713891i −0.0219617 0.0414242i
\(298\) −5.43810 5.15124i −0.315021 0.298403i
\(299\) −0.175512 + 0.258860i −0.0101501 + 0.0149703i
\(300\) −10.8714 2.39298i −0.627662 0.138159i
\(301\) −1.04359 + 3.75867i −0.0601514 + 0.216646i
\(302\) 9.79301 + 7.44445i 0.563524 + 0.428380i
\(303\) 3.72020 + 0.404596i 0.213720 + 0.0232434i
\(304\) −0.321107 5.92247i −0.0184167 0.339677i
\(305\) −3.49989 12.6055i −0.200403 0.721786i
\(306\) −1.69350 + 4.25037i −0.0968111 + 0.242977i
\(307\) −7.64069 + 1.68184i −0.436077 + 0.0959878i −0.427583 0.903976i \(-0.640635\pi\)
−0.00849404 + 0.999964i \(0.502704\pi\)
\(308\) −0.0332253 + 0.612805i −0.00189319 + 0.0349178i
\(309\) 1.36905 8.35083i 0.0778825 0.475062i
\(310\) 7.68854 + 11.3397i 0.436680 + 0.644054i
\(311\) −9.28222 23.2966i −0.526347 1.32103i −0.916409 0.400242i \(-0.868926\pi\)
0.390063 0.920788i \(-0.372453\pi\)
\(312\) 0.0349740 0.0265866i 0.00198001 0.00150517i
\(313\) 11.7553 7.07291i 0.664447 0.399784i −0.143002 0.989722i \(-0.545675\pi\)
0.807449 + 0.589938i \(0.200848\pi\)
\(314\) 18.6705 + 6.29084i 1.05364 + 0.355012i
\(315\) 2.21469 2.09787i 0.124784 0.118202i
\(316\) −0.0220613 0.134568i −0.00124105 0.00757005i
\(317\) 16.3561 1.77884i 0.918652 0.0999094i 0.363439 0.931618i \(-0.381602\pi\)
0.555212 + 0.831709i \(0.312637\pi\)
\(318\) 7.49044 + 4.50685i 0.420043 + 0.252732i
\(319\) 4.43464 + 5.22086i 0.248292 + 0.292312i
\(320\) 3.64521 + 1.68645i 0.203773 + 0.0942756i
\(321\) 0.137184 0.0634681i 0.00765686 0.00354244i
\(322\) 3.50042 4.12101i 0.195071 0.229655i
\(323\) −25.7165 + 8.66489i −1.43090 + 0.482127i
\(324\) 0.468408 0.883512i 0.0260227 0.0490840i
\(325\) 0.229069 0.432071i 0.0127065 0.0239670i
\(326\) 11.6028 3.90945i 0.642621 0.216524i
\(327\) 3.24618 3.82169i 0.179514 0.211340i
\(328\) 3.63884 1.68351i 0.200921 0.0929560i
\(329\) 3.30531 + 1.52920i 0.182228 + 0.0843076i
\(330\) 2.10098 + 2.47347i 0.115655 + 0.136160i
\(331\) 10.9261 + 6.57399i 0.600550 + 0.361339i 0.783136 0.621851i \(-0.213619\pi\)
−0.182585 + 0.983190i \(0.558447\pi\)
\(332\) 3.68008 0.400233i 0.201971 0.0219656i
\(333\) 1.03706 + 6.32579i 0.0568305 + 0.346651i
\(334\) −4.32497 + 4.09683i −0.236652 + 0.224168i
\(335\) 27.2801 + 9.19174i 1.49047 + 0.502198i
\(336\) −0.650801 + 0.391574i −0.0355041 + 0.0213621i
\(337\) 15.6428 11.8913i 0.852116 0.647762i −0.0851532 0.996368i \(-0.527138\pi\)
0.937269 + 0.348606i \(0.113345\pi\)
\(338\) −4.81108 12.0749i −0.261688 0.656788i
\(339\) −8.05468 11.8798i −0.437470 0.645220i
\(340\) 2.97298 18.1344i 0.161232 0.983474i
\(341\) 0.149219 2.75219i 0.00808068 0.149039i
\(342\) 5.79250 1.27503i 0.313222 0.0689455i
\(343\) −3.77361 + 9.47106i −0.203756 + 0.511389i
\(344\) −1.37401 4.94873i −0.0740816 0.266818i
\(345\) −1.54798 28.5508i −0.0833405 1.53713i
\(346\) −17.7918 1.93497i −0.956491 0.104025i
\(347\) 18.2184 + 13.8493i 0.978015 + 0.743467i 0.966553 0.256467i \(-0.0825585\pi\)
0.0114617 + 0.999934i \(0.496352\pi\)
\(348\) −2.26801 + 8.16863i −0.121578 + 0.437884i
\(349\) 18.5501 + 4.08319i 0.992965 + 0.218568i 0.681602 0.731723i \(-0.261283\pi\)
0.311363 + 0.950291i \(0.399214\pi\)
\(350\) −4.74470 + 6.99790i −0.253615 + 0.374054i
\(351\) 0.0318945 + 0.0302121i 0.00170240 + 0.00161260i
\(352\) −0.378481 0.713891i −0.0201731 0.0380505i
\(353\) 5.54098 0.294917 0.147458 0.989068i \(-0.452891\pi\)
0.147458 + 0.989068i \(0.452891\pi\)
\(354\) −7.11436 + 2.89584i −0.378124 + 0.153912i
\(355\) −63.2105 −3.35487
\(356\) −6.37807 12.0303i −0.338037 0.637606i
\(357\) 2.52287 + 2.38979i 0.133525 + 0.126481i
\(358\) 11.9475 17.6212i 0.631443 0.931308i
\(359\) 29.2347 + 6.43505i 1.54295 + 0.339629i 0.903290 0.429030i \(-0.141144\pi\)
0.639659 + 0.768659i \(0.279075\pi\)
\(360\) −1.07451 + 3.87003i −0.0566315 + 0.203968i
\(361\) 12.8798 + 9.79094i 0.677882 + 0.515313i
\(362\) −17.5164 1.90502i −0.920640 0.100126i
\(363\) 0.560181 + 10.3319i 0.0294019 + 0.542286i
\(364\) −0.00892671 0.0321511i −0.000467887 0.00168518i
\(365\) −8.01132 + 20.1069i −0.419332 + 1.05244i
\(366\) −3.18105 + 0.700202i −0.166276 + 0.0366001i
\(367\) 0.647325 11.9392i 0.0337901 0.623221i −0.931771 0.363046i \(-0.881737\pi\)
0.965561 0.260175i \(-0.0837804\pi\)
\(368\) −1.15172 + 7.02518i −0.0600375 + 0.366213i
\(369\) 2.25003 + 3.31854i 0.117132 + 0.172756i
\(370\) −9.52966 23.9176i −0.495423 1.24342i
\(371\) 5.28570 4.01809i 0.274420 0.208609i
\(372\) 2.92284 1.75861i 0.151542 0.0911799i
\(373\) −5.47051 1.84323i −0.283252 0.0954388i 0.174089 0.984730i \(-0.444302\pi\)
−0.457342 + 0.889291i \(0.651198\pi\)
\(374\) −2.68396 + 2.54238i −0.138784 + 0.131463i
\(375\) 3.98428 + 24.3030i 0.205747 + 1.25500i
\(376\) −4.76691 + 0.518433i −0.245835 + 0.0267361i
\(377\) −0.319128 0.192013i −0.0164359 0.00988917i
\(378\) −0.491704 0.578878i −0.0252905 0.0297743i
\(379\) 0.733459 + 0.339334i 0.0376753 + 0.0174304i 0.438636 0.898665i \(-0.355462\pi\)
−0.400961 + 0.916095i \(0.631324\pi\)
\(380\) −21.6203 + 10.0026i −1.10910 + 0.513124i
\(381\) 0.0478174 0.0562950i 0.00244976 0.00288408i
\(382\) −4.23893 + 1.42826i −0.216883 + 0.0730762i
\(383\) −0.948681 + 1.78940i −0.0484754 + 0.0914342i −0.906566 0.422064i \(-0.861306\pi\)
0.858091 + 0.513498i \(0.171651\pi\)
\(384\) 0.468408 0.883512i 0.0239034 0.0450865i
\(385\) 2.33587 0.787046i 0.119047 0.0401116i
\(386\) 15.5784 18.3403i 0.792920 0.933497i
\(387\) 4.66125 2.15652i 0.236945 0.109622i
\(388\) 2.53526 + 1.17294i 0.128708 + 0.0595468i
\(389\) −7.20709 8.48485i −0.365414 0.430199i 0.548472 0.836169i \(-0.315210\pi\)
−0.913886 + 0.405970i \(0.866934\pi\)
\(390\) −0.151192 0.0909694i −0.00765592 0.00460642i
\(391\) 32.3806 3.52160i 1.63756 0.178095i
\(392\) −1.03915 6.33851i −0.0524848 0.320143i
\(393\) 10.9391 10.3621i 0.551804 0.522697i
\(394\) −19.0552 6.42044i −0.959987 0.323457i
\(395\) −0.469299 + 0.282368i −0.0236130 + 0.0142075i
\(396\) 0.643255 0.488990i 0.0323248 0.0245727i
\(397\) 9.69354 + 24.3290i 0.486505 + 1.22104i 0.943442 + 0.331537i \(0.107567\pi\)
−0.456937 + 0.889499i \(0.651054\pi\)
\(398\) −7.51885 11.0895i −0.376886 0.555865i
\(399\) 0.728803 4.44550i 0.0364858 0.222553i
\(400\) 0.602657 11.1154i 0.0301329 0.555768i
\(401\) −18.8040 + 4.13908i −0.939028 + 0.206696i −0.658012 0.753007i \(-0.728602\pi\)
−0.281016 + 0.959703i \(0.590671\pi\)
\(402\) 2.65290 6.65827i 0.132315 0.332084i
\(403\) 0.0400911 + 0.144395i 0.00199708 + 0.00719283i
\(404\) 0.202595 + 3.73664i 0.0100795 + 0.185905i
\(405\) −3.99288 0.434252i −0.198408 0.0215782i
\(406\) 5.12600 + 3.89668i 0.254399 + 0.193389i
\(407\) −1.38568 + 4.99077i −0.0686856 + 0.247383i
\(408\) −4.46836 0.983559i −0.221217 0.0486934i
\(409\) 3.56639 5.26003i 0.176347 0.260092i −0.729235 0.684263i \(-0.760124\pi\)
0.905582 + 0.424171i \(0.139434\pi\)
\(410\) −11.6911 11.0744i −0.577380 0.546923i
\(411\) −5.90027 11.1291i −0.291039 0.548958i
\(412\) 8.46231 0.416908
\(413\) 0.0431918 + 5.83383i 0.00212533 + 0.287064i
\(414\) −7.11896 −0.349878
\(415\) −6.96426 13.1360i −0.341862 0.644820i
\(416\) 0.0318945 + 0.0302121i 0.00156376 + 0.00148127i
\(417\) 6.99398 10.3154i 0.342497 0.505145i
\(418\) 4.68043 + 1.03024i 0.228927 + 0.0503907i
\(419\) −9.11885 + 32.8431i −0.445485 + 1.60449i 0.310952 + 0.950426i \(0.399352\pi\)
−0.756437 + 0.654067i \(0.773061\pi\)
\(420\) 2.42853 + 1.84612i 0.118500 + 0.0900815i
\(421\) 20.0095 + 2.17616i 0.975204 + 0.106060i 0.581823 0.813316i \(-0.302340\pi\)
0.393381 + 0.919376i \(0.371305\pi\)
\(422\) −1.33200 24.5673i −0.0648408 1.19592i
\(423\) −1.28280 4.62024i −0.0623720 0.224644i
\(424\) −3.23566 + 8.12090i −0.157138 + 0.394386i
\(425\) −49.7403 + 10.9487i −2.41276 + 0.531089i
\(426\) −0.852038 + 15.7149i −0.0412814 + 0.761391i
\(427\) −0.400234 + 2.44132i −0.0193687 + 0.118144i
\(428\) 0.0848259 + 0.125109i 0.00410021 + 0.00604736i
\(429\) 0.0131391 + 0.0329766i 0.000634361 + 0.00159213i
\(430\) −16.4219 + 12.4836i −0.791934 + 0.602013i
\(431\) 25.7315 15.4821i 1.23944 0.745749i 0.263687 0.964608i \(-0.415061\pi\)
0.975756 + 0.218860i \(0.0702337\pi\)
\(432\) 0.947653 + 0.319302i 0.0455940 + 0.0153624i
\(433\) −23.9961 + 22.7303i −1.15318 + 1.09235i −0.158708 + 0.987326i \(0.550733\pi\)
−0.994470 + 0.105023i \(0.966508\pi\)
\(434\) −0.419147 2.55668i −0.0201197 0.122725i
\(435\) 33.8502 3.68143i 1.62299 0.176511i
\(436\) 4.29652 + 2.58513i 0.205766 + 0.123805i
\(437\) −27.3350 32.1813i −1.30761 1.53944i
\(438\) 4.89084 + 2.26274i 0.233693 + 0.108118i
\(439\) 23.7760 11.0000i 1.13477 0.525000i 0.239664 0.970856i \(-0.422963\pi\)
0.895105 + 0.445856i \(0.147101\pi\)
\(440\) −2.10098 + 2.47347i −0.100161 + 0.117918i
\(441\) 6.08690 2.05091i 0.289852 0.0976626i
\(442\) 0.0941517 0.177589i 0.00447834 0.00844705i
\(443\) 9.16055 17.2786i 0.435231 0.820933i −0.564760 0.825255i \(-0.691031\pi\)
0.999991 + 0.00432257i \(0.00137592\pi\)
\(444\) −6.07468 + 2.04680i −0.288291 + 0.0971367i
\(445\) −35.4053 + 41.6823i −1.67837 + 1.97593i
\(446\) −3.72695 + 1.72427i −0.176476 + 0.0816465i
\(447\) 6.79823 + 3.14520i 0.321545 + 0.148763i
\(448\) −0.491704 0.578878i −0.0232308 0.0273494i
\(449\) −22.9116 13.7854i −1.08126 0.650576i −0.140653 0.990059i \(-0.544920\pi\)
−0.940612 + 0.339483i \(0.889748\pi\)
\(450\) 11.0664 1.20355i 0.521677 0.0567357i
\(451\) 0.524119 + 3.19698i 0.0246798 + 0.150540i
\(452\) 10.4202 9.87050i 0.490123 0.464269i
\(453\) −11.6574 3.92783i −0.547712 0.184546i
\(454\) 19.6715 11.8359i 0.923228 0.555488i
\(455\) −0.106690 + 0.0811039i −0.00500172 + 0.00380221i
\(456\) 2.19535 + 5.50991i 0.102807 + 0.258025i
\(457\) −0.413715 0.610184i −0.0193528 0.0285432i 0.817890 0.575375i \(-0.195144\pi\)
−0.837242 + 0.546832i \(0.815834\pi\)
\(458\) 0.895764 5.46392i 0.0418563 0.255312i
\(459\) 0.247703 4.56861i 0.0115618 0.213245i
\(460\) 27.9243 6.14660i 1.30198 0.286587i
\(461\) −7.06842 + 17.7404i −0.329209 + 0.826253i 0.667456 + 0.744649i \(0.267383\pi\)
−0.996665 + 0.0816032i \(0.973996\pi\)
\(462\) −0.164183 0.591335i −0.00763850 0.0275114i
\(463\) −0.492517 9.08394i −0.0228892 0.422166i −0.987412 0.158168i \(-0.949441\pi\)
0.964523 0.263999i \(-0.0850414\pi\)
\(464\) −8.42794 0.916594i −0.391257 0.0425518i
\(465\) −10.9069 8.29118i −0.505794 0.384494i
\(466\) −7.19645 + 25.9193i −0.333369 + 1.20069i
\(467\) 16.9483 + 3.73061i 0.784276 + 0.172632i 0.589018 0.808120i \(-0.299515\pi\)
0.195258 + 0.980752i \(0.437446\pi\)
\(468\) −0.0246541 + 0.0363621i −0.00113964 + 0.00168084i
\(469\) −3.95212 3.74365i −0.182492 0.172866i
\(470\) 9.02100 + 17.0154i 0.416108 + 0.784862i
\(471\) −19.7019 −0.907814
\(472\) −4.00866 6.55215i −0.184514 0.301587i
\(473\) 4.14991 0.190813
\(474\) 0.0638743 + 0.120480i 0.00293384 + 0.00553382i
\(475\) 47.9330 + 45.4046i 2.19932 + 2.08330i
\(476\) −1.95016 + 2.87627i −0.0893853 + 0.131833i
\(477\) −8.53739 1.87922i −0.390900 0.0860436i
\(478\) 6.91183 24.8942i 0.316140 1.13863i
\(479\) 1.47230 + 1.11921i 0.0672710 + 0.0511381i 0.638269 0.769813i \(-0.279651\pi\)
−0.570998 + 0.820951i \(0.693444\pi\)
\(480\) −3.99288 0.434252i −0.182249 0.0198208i
\(481\) −0.0152463 0.281202i −0.000695172 0.0128217i
\(482\) 3.61038 + 13.0034i 0.164448 + 0.592289i
\(483\) −2.00134 + 5.02298i −0.0910640 + 0.228553i
\(484\) −10.1052 + 2.22432i −0.459327 + 0.101106i
\(485\) 0.607420 11.2032i 0.0275815 0.508711i
\(486\) −0.161782 + 0.986827i −0.00733858 + 0.0447634i
\(487\) 6.01939 + 8.87793i 0.272764 + 0.402297i 0.939257 0.343214i \(-0.111516\pi\)
−0.666493 + 0.745511i \(0.732205\pi\)
\(488\) −1.20561 3.02586i −0.0545756 0.136974i
\(489\) −9.74717 + 7.40960i −0.440782 + 0.335074i
\(490\) −22.1052 + 13.3003i −0.998612 + 0.600845i
\(491\) 32.6554 + 11.0029i 1.47372 + 0.496553i 0.937638 0.347614i \(-0.113008\pi\)
0.536080 + 0.844167i \(0.319905\pi\)
\(492\) −2.91081 + 2.75727i −0.131229 + 0.124307i
\(493\) 6.27519 + 38.2770i 0.282620 + 1.72391i
\(494\) −0.259041 + 0.0281724i −0.0116548 + 0.00126754i
\(495\) −2.78079 1.67314i −0.124987 0.0752022i
\(496\) 2.20831 + 2.59982i 0.0991560 + 0.116735i
\(497\) 10.8486 + 5.01908i 0.486625 + 0.225137i
\(498\) −3.35964 + 1.55434i −0.150549 + 0.0696515i
\(499\) −2.40286 + 2.82886i −0.107567 + 0.126637i −0.813311 0.581830i \(-0.802337\pi\)
0.705744 + 0.708467i \(0.250613\pi\)
\(500\) −23.3383 + 7.86359i −1.04372 + 0.351670i
\(501\) 2.79045 5.26334i 0.124668 0.235149i
\(502\) 6.21877 11.7298i 0.277557 0.523529i
\(503\) 21.7167 7.31721i 0.968299 0.326258i 0.209664 0.977773i \(-0.432763\pi\)
0.758635 + 0.651515i \(0.225866\pi\)
\(504\) 0.491704 0.578878i 0.0219022 0.0257853i
\(505\) 13.6409 6.31093i 0.607010 0.280833i
\(506\) −5.22058 2.41530i −0.232083 0.107373i
\(507\) 8.41477 + 9.90664i 0.373713 + 0.439969i
\(508\) 0.0632894 + 0.0380800i 0.00280801 + 0.00168953i
\(509\) 1.90139 0.206789i 0.0842778 0.00916577i −0.0658829 0.997827i \(-0.520986\pi\)
0.150161 + 0.988662i \(0.452021\pi\)
\(510\) 2.97298 + 18.1344i 0.131646 + 0.803004i
\(511\) 2.97149 2.81474i 0.131451 0.124517i
\(512\) 0.947653 + 0.319302i 0.0418807 + 0.0141113i
\(513\) −5.08216 + 3.05783i −0.224383 + 0.135007i
\(514\) 23.8834 18.1557i 1.05345 0.800814i
\(515\) −12.5804 31.5743i −0.554357 1.39133i
\(516\) 2.88222 + 4.25096i 0.126883 + 0.187138i
\(517\) 0.626816 3.82341i 0.0275673 0.168153i
\(518\) −0.263586 + 4.86157i −0.0115813 + 0.213605i
\(519\) 17.4783 3.84726i 0.767210 0.168876i
\(520\) 0.0653109 0.163918i 0.00286407 0.00718827i
\(521\) −6.61779 23.8351i −0.289931 1.04424i −0.954793 0.297270i \(-0.903924\pi\)
0.664863 0.746965i \(-0.268490\pi\)
\(522\) −0.458970 8.46521i −0.0200886 0.370512i
\(523\) −35.1175 3.81926i −1.53558 0.167004i −0.699109 0.715015i \(-0.746420\pi\)
−0.836472 + 0.548010i \(0.815385\pi\)
\(524\) 11.9953 + 9.11859i 0.524017 + 0.398348i
\(525\) 2.26189 8.14657i 0.0987168 0.355546i
\(526\) 12.2056 + 2.68666i 0.532191 + 0.117144i
\(527\) 8.75842 12.9177i 0.381523 0.562704i
\(528\) 0.586615 + 0.555672i 0.0255292 + 0.0241825i
\(529\) 12.9653 + 24.4552i 0.563710 + 1.06327i
\(530\) 35.1107 1.52511
\(531\) 5.81730 5.01587i 0.252449 0.217670i
\(532\) 4.50484 0.195310
\(533\) −0.0825061 0.155623i −0.00357374 0.00674078i
\(534\) 9.88550 + 9.36404i 0.427787 + 0.405222i
\(535\) 0.340697 0.502490i 0.0147296 0.0217246i
\(536\) 6.99975 + 1.54076i 0.302343 + 0.0665508i
\(537\) −5.69558 + 20.5136i −0.245782 + 0.885228i
\(538\) 10.7624 + 8.18137i 0.464001 + 0.352724i
\(539\) 5.15956 + 0.561136i 0.222238 + 0.0241698i
\(540\) −0.217445 4.01054i −0.00935734 0.172586i
\(541\) 1.37404 + 4.94886i 0.0590748 + 0.212768i 0.987197 0.159509i \(-0.0509910\pi\)
−0.928122 + 0.372277i \(0.878577\pi\)
\(542\) −4.37240 + 10.9739i −0.187811 + 0.471370i
\(543\) 17.2077 3.78770i 0.738454 0.162546i
\(544\) 0.247703 4.56861i 0.0106202 0.195878i
\(545\) 3.25821 19.8742i 0.139566 0.851317i
\(546\) 0.0187253 + 0.0276178i 0.000801370 + 0.00118193i
\(547\) 4.70800 + 11.8162i 0.201299 + 0.505223i 0.994621 0.103579i \(-0.0330295\pi\)
−0.793322 + 0.608803i \(0.791650\pi\)
\(548\) 10.0279 7.62303i 0.428372 0.325640i
\(549\) 2.79095 1.67926i 0.119115 0.0716691i
\(550\) 8.52373 + 2.87198i 0.363453 + 0.122462i
\(551\) 36.5047 34.5791i 1.55515 1.47312i
\(552\) −1.15172 7.02518i −0.0490204 0.299011i
\(553\) 0.102965 0.0111981i 0.00437850 0.000476191i
\(554\) 15.1946 + 9.14228i 0.645556 + 0.388418i
\(555\) 16.6678 + 19.6228i 0.707507 + 0.832941i
\(556\) 11.3110 + 5.23301i 0.479692 + 0.221929i
\(557\) −2.98568 + 1.38132i −0.126507 + 0.0585286i −0.482122 0.876104i \(-0.660134\pi\)
0.355614 + 0.934633i \(0.384272\pi\)
\(558\) −2.20831 + 2.59982i −0.0934852 + 0.110059i
\(559\) −0.213821 + 0.0720447i −0.00904367 + 0.00304717i
\(560\) −1.42891 + 2.69521i −0.0603824 + 0.113893i
\(561\) 1.73167 3.26628i 0.0731113 0.137903i
\(562\) 8.43505 2.84210i 0.355811 0.119887i
\(563\) −24.4703 + 28.8087i −1.03130 + 1.21414i −0.0548292 + 0.998496i \(0.517461\pi\)
−0.976472 + 0.215646i \(0.930814\pi\)
\(564\) 4.35184 2.01338i 0.183245 0.0847784i
\(565\) −52.3195 24.2056i −2.20110 1.01834i
\(566\) 10.5244 + 12.3903i 0.442376 + 0.520805i
\(567\) 0.650801 + 0.391574i 0.0273311 + 0.0164446i
\(568\) −15.6457 + 1.70158i −0.656481 + 0.0713966i
\(569\) −5.56762 33.9610i −0.233407 1.42372i −0.800138 0.599816i \(-0.795241\pi\)
0.566731 0.823903i \(-0.308208\pi\)
\(570\) 17.2947 16.3824i 0.724396 0.686185i
\(571\) 5.12714 + 1.72754i 0.214564 + 0.0722951i 0.424531 0.905413i \(-0.360439\pi\)
−0.209967 + 0.977709i \(0.567336\pi\)
\(572\) −0.0304165 + 0.0183010i −0.00127178 + 0.000765204i
\(573\) 3.56099 2.70699i 0.148762 0.113086i
\(574\) 1.12715 + 2.82895i 0.0470465 + 0.118078i
\(575\) −44.4718 65.5910i −1.85460 2.73533i
\(576\) −0.161782 + 0.986827i −0.00674092 + 0.0411178i
\(577\) 1.43074 26.3885i 0.0595626 1.09857i −0.804099 0.594495i \(-0.797352\pi\)
0.863662 0.504072i \(-0.168165\pi\)
\(578\) −3.84163 + 0.845606i −0.159791 + 0.0351726i
\(579\) −8.90683 + 22.3545i −0.370155 + 0.929020i
\(580\) 9.10929 + 32.8087i 0.378243 + 1.36231i
\(581\) 0.152216 + 2.80746i 0.00631498 + 0.116473i
\(582\) −2.77707 0.302024i −0.115113 0.0125193i
\(583\) −5.62319 4.27464i −0.232889 0.177037i
\(584\) −1.44168 + 5.19248i −0.0596573 + 0.214866i
\(585\) 0.172325 + 0.0379315i 0.00712475 + 0.00156828i
\(586\) −6.64302 + 9.79772i −0.274421 + 0.404740i
\(587\) −9.22572 8.73906i −0.380786 0.360700i 0.473237 0.880935i \(-0.343086\pi\)
−0.854023 + 0.520236i \(0.825844\pi\)
\(588\) 3.00865 + 5.67491i 0.124075 + 0.234029i
\(589\) −20.2319 −0.833640
\(590\) −18.4877 + 24.6976i −0.761128 + 1.01679i
\(591\) 20.1078 0.827123
\(592\) −3.00261 5.66352i −0.123406 0.232769i
\(593\) −33.0208 31.2790i −1.35600 1.28447i −0.923892 0.382653i \(-0.875011\pi\)
−0.432110 0.901821i \(-0.642231\pi\)
\(594\) −0.453448 + 0.668785i −0.0186052 + 0.0274406i
\(595\) 13.6310 + 3.00041i 0.558816 + 0.123005i
\(596\) −2.00393 + 7.21751i −0.0820843 + 0.295641i
\(597\) 10.6662 + 8.10820i 0.436537 + 0.331846i
\(598\) 0.310917 + 0.0338143i 0.0127143 + 0.00138277i
\(599\) 0.788053 + 14.5348i 0.0321990 + 0.593875i 0.969460 + 0.245248i \(0.0788693\pi\)
−0.937261 + 0.348627i \(0.886648\pi\)
\(600\) 2.97804 + 10.7259i 0.121578 + 0.437884i
\(601\) 12.2576 30.7642i 0.499997 1.25490i −0.435060 0.900402i \(-0.643273\pi\)
0.935057 0.354497i \(-0.115348\pi\)
\(602\) 3.80965 0.838568i 0.155270 0.0341775i
\(603\) −0.388031 + 7.15681i −0.0158018 + 0.291448i
\(604\) 1.99013 12.1393i 0.0809774 0.493940i
\(605\) 23.3220 + 34.3974i 0.948176 + 1.39845i
\(606\) −1.38511 3.47635i −0.0562661 0.141217i
\(607\) 10.7806 8.19523i 0.437573 0.332634i −0.363085 0.931756i \(-0.618277\pi\)
0.800658 + 0.599122i \(0.204484\pi\)
\(608\) −5.08216 + 3.05783i −0.206109 + 0.124012i
\(609\) −6.10189 2.05597i −0.247261 0.0833119i
\(610\) −9.49769 + 8.99669i −0.384550 + 0.364265i
\(611\) 0.0340802 + 0.207880i 0.00137874 + 0.00840992i
\(612\) 4.54850 0.494680i 0.183862 0.0199962i
\(613\) 10.2032 + 6.13907i 0.412104 + 0.247955i 0.706477 0.707736i \(-0.250283\pi\)
−0.294373 + 0.955691i \(0.595111\pi\)
\(614\) 5.06489 + 5.96285i 0.204402 + 0.240641i
\(615\) 14.6151 + 6.76168i 0.589339 + 0.272657i
\(616\) 0.556983 0.257688i 0.0224415 0.0103825i
\(617\) −17.6263 + 20.7513i −0.709607 + 0.835414i −0.992308 0.123794i \(-0.960494\pi\)
0.282701 + 0.959208i \(0.408770\pi\)
\(618\) −8.01934 + 2.70203i −0.322585 + 0.108692i
\(619\) −6.11463 + 11.5334i −0.245768 + 0.463567i −0.975451 0.220219i \(-0.929323\pi\)
0.729683 + 0.683786i \(0.239668\pi\)
\(620\) 6.41743 12.1046i 0.257730 0.486130i
\(621\) 6.74630 2.27309i 0.270720 0.0912161i
\(622\) −16.2350 + 19.1133i −0.650963 + 0.766373i
\(623\) 9.38615 4.34249i 0.376048 0.173978i
\(624\) −0.0398717 0.0184466i −0.00159614 0.000738455i
\(625\) 28.0033 + 32.9681i 1.12013 + 1.31872i
\(626\) −11.7553 7.07291i −0.469835 0.282690i
\(627\) −4.76438 + 0.518157i −0.190271 + 0.0206932i
\(628\) −3.18741 19.4423i −0.127191 0.775833i
\(629\) −21.2926 + 20.1695i −0.848993 + 0.804209i
\(630\) −2.89087 0.974049i −0.115175 0.0388070i
\(631\) −2.85246 + 1.71627i −0.113555 + 0.0683237i −0.571198 0.820812i \(-0.693521\pi\)
0.457643 + 0.889136i \(0.348694\pi\)
\(632\) −0.108559 + 0.0825243i −0.00431824 + 0.00328264i
\(633\) 9.10666 + 22.8560i 0.361957 + 0.908444i
\(634\) −9.23297 13.6176i −0.366688 0.540825i
\(635\) 0.0479946 0.292754i 0.00190461 0.0116176i
\(636\) 0.473270 8.72895i 0.0187664 0.346125i
\(637\) −0.275584 + 0.0606606i −0.0109190 + 0.00240346i
\(638\) 2.53547 6.36355i 0.100380 0.251935i
\(639\) −4.21036 15.1644i −0.166559 0.599893i
\(640\) −0.217445 4.01054i −0.00859527 0.158530i
\(641\) 5.99382 + 0.651868i 0.236742 + 0.0257472i 0.225721 0.974192i \(-0.427526\pi\)
0.0110211 + 0.999939i \(0.496492\pi\)
\(642\) −0.120333 0.0914747i −0.00474916 0.00361022i
\(643\) 3.76525 13.5612i 0.148487 0.534802i −0.851459 0.524421i \(-0.824282\pi\)
0.999946 0.0103812i \(-0.00330448\pi\)
\(644\) −5.28059 1.16234i −0.208084 0.0458028i
\(645\) 11.5762 17.0737i 0.455814 0.672275i
\(646\) 19.7013 + 18.6621i 0.775139 + 0.734251i
\(647\) 10.8715 + 20.5058i 0.427402 + 0.806165i 0.999906 0.0137370i \(-0.00437276\pi\)
−0.572504 + 0.819902i \(0.694028\pi\)
\(648\) −1.00000 −0.0392837
\(649\) 5.96780 1.70464i 0.234257 0.0669129i
\(650\) −0.489038 −0.0191816
\(651\) 1.21356 + 2.28902i 0.0475631 + 0.0897136i
\(652\) −8.88891 8.42002i −0.348117 0.329754i
\(653\) 24.8816 36.6976i 0.973692 1.43609i 0.0751651 0.997171i \(-0.476052\pi\)
0.898527 0.438918i \(-0.144638\pi\)
\(654\) −4.89705 1.07792i −0.191490 0.0421501i
\(655\) 16.1904 58.3125i 0.632610 2.27846i
\(656\) −3.19186 2.42639i −0.124621 0.0947345i
\(657\) −5.35731 0.582643i −0.209009 0.0227311i
\(658\) −0.197169 3.63658i −0.00768646 0.141768i
\(659\) 11.5902 + 41.7441i 0.451490 + 1.62612i 0.742816 + 0.669495i \(0.233490\pi\)
−0.291327 + 0.956624i \(0.594097\pi\)
\(660\) 1.20122 3.01484i 0.0467575 0.117352i
\(661\) −33.5437 + 7.38352i −1.30470 + 0.287186i −0.812328 0.583201i \(-0.801800\pi\)
−0.492369 + 0.870386i \(0.663869\pi\)
\(662\) 0.690342 12.7326i 0.0268309 0.494867i
\(663\) −0.0325187 + 0.198356i −0.00126292 + 0.00770349i
\(664\) −2.07739 3.06392i −0.0806184 0.118903i
\(665\) −6.69705 16.8083i −0.259700 0.651799i
\(666\) 5.10314 3.87931i 0.197743 0.150320i
\(667\) −51.7130 + 31.1147i −2.00234 + 1.20477i
\(668\) 5.64545 + 1.90217i 0.218429 + 0.0735973i
\(669\) 2.98129 2.82403i 0.115263 0.109183i
\(670\) −4.65722 28.4078i −0.179924 1.09749i
\(671\) 2.61644 0.284555i 0.101006 0.0109851i
\(672\) 0.650801 + 0.391574i 0.0251052 + 0.0151053i
\(673\) −7.96116 9.37260i −0.306880 0.361287i 0.587005 0.809583i \(-0.300307\pi\)
−0.893885 + 0.448296i \(0.852031\pi\)
\(674\) −17.8333 8.25058i −0.686915 0.317801i
\(675\) −10.1028 + 4.67407i −0.388859 + 0.179905i
\(676\) −8.41477 + 9.90664i −0.323645 + 0.381024i
\(677\) −33.2894 + 11.2165i −1.27942 + 0.431086i −0.875281 0.483614i \(-0.839324\pi\)
−0.404135 + 0.914699i \(0.632427\pi\)
\(678\) −6.72303 + 12.6810i −0.258197 + 0.487010i
\(679\) −0.993812 + 1.87453i −0.0381390 + 0.0719378i
\(680\) −17.4145 + 5.86763i −0.667816 + 0.225013i
\(681\) −14.8625 + 17.4975i −0.569533 + 0.670506i
\(682\) −2.50149 + 1.15731i −0.0957870 + 0.0443158i
\(683\) −40.2238 18.6095i −1.53912 0.712074i −0.546975 0.837149i \(-0.684221\pi\)
−0.992147 + 0.125076i \(0.960083\pi\)
\(684\) −3.83975 4.52051i −0.146817 0.172846i
\(685\) −43.3506 26.0832i −1.65634 0.996588i
\(686\) 10.1354 1.10229i 0.386971 0.0420856i
\(687\) 0.895764 + 5.46392i 0.0341755 + 0.208461i
\(688\) −3.72867 + 3.53198i −0.142154 + 0.134655i
\(689\) 0.363940 + 0.122626i 0.0138650 + 0.00467167i
\(690\) −24.4999 + 14.7411i −0.932696 + 0.561185i
\(691\) 25.1063 19.0853i 0.955090 0.726040i −0.00665773 0.999978i \(-0.502119\pi\)
0.961748 + 0.273937i \(0.0883261\pi\)
\(692\) 6.62424 + 16.6256i 0.251816 + 0.632010i
\(693\) 0.344403 + 0.507957i 0.0130828 + 0.0192957i
\(694\) 3.70234 22.5833i 0.140539 0.857250i
\(695\) 2.70998 49.9827i 0.102795 1.89595i
\(696\) 8.27944 1.82244i 0.313831 0.0690795i
\(697\) −6.78993 + 17.0415i −0.257187 + 0.645491i
\(698\) −5.08149 18.3019i −0.192337 0.692736i
\(699\) −1.45632 26.8603i −0.0550832 1.01595i
\(700\) 8.40519 + 0.914119i 0.317686 + 0.0345505i
\(701\) −4.61260 3.50641i −0.174215 0.132435i 0.514433 0.857531i \(-0.328002\pi\)
−0.688648 + 0.725096i \(0.741796\pi\)
\(702\) 0.0117531 0.0423307i 0.000443591 0.00159767i
\(703\) 37.1312 + 8.17321i 1.40043 + 0.308258i
\(704\) −0.453448 + 0.668785i −0.0170900 + 0.0252058i
\(705\) −13.9818 13.2443i −0.526586 0.498809i
\(706\) −2.59544 4.89553i −0.0976808 0.184246i
\(707\) −2.84223 −0.106893
\(708\) 5.89093 + 4.92919i 0.221395 + 0.185250i
\(709\) −39.4733 −1.48245 −0.741226 0.671255i \(-0.765755\pi\)
−0.741226 + 0.671255i \(0.765755\pi\)
\(710\) 29.6084 + 55.8473i 1.11118 + 2.09591i
\(711\) −0.0990001 0.0937778i −0.00371279 0.00351694i
\(712\) −7.64139 + 11.2702i −0.286373 + 0.422369i
\(713\) 23.7158 + 5.22025i 0.888165 + 0.195500i
\(714\) 0.929676 3.34839i 0.0347922 0.125310i
\(715\) 0.113502 + 0.0862822i 0.00424475 + 0.00322677i
\(716\) −21.1648 2.30181i −0.790966 0.0860228i
\(717\) 1.39873 + 25.7980i 0.0522364 + 0.963443i
\(718\) −8.00835 28.8435i −0.298869 1.07643i
\(719\) −10.6981 + 26.8503i −0.398973 + 1.00135i 0.583025 + 0.812454i \(0.301869\pi\)
−0.981998 + 0.188892i \(0.939511\pi\)
\(720\) 3.92252 0.863413i 0.146184 0.0321775i
\(721\) −0.347967 + 6.41788i −0.0129590 + 0.239014i
\(722\) 2.61742 15.9656i 0.0974105 0.594178i
\(723\) −7.57339 11.1699i −0.281658 0.415414i
\(724\) 6.52170 + 16.3682i 0.242377 + 0.608321i
\(725\) 75.1276 57.1105i 2.79017 2.12103i
\(726\) 8.86600 5.33449i 0.329048 0.197982i
\(727\) 26.5836 + 8.95705i 0.985930 + 0.332198i 0.765664 0.643241i \(-0.222411\pi\)
0.220266 + 0.975440i \(0.429307\pi\)
\(728\) −0.0242245 + 0.0229467i −0.000897821 + 0.000850461i
\(729\) −0.161782 0.986827i −0.00599193 0.0365491i
\(730\) 21.5173 2.34014i 0.796389 0.0866126i
\(731\) 20.1349 + 12.1148i 0.744717 + 0.448081i
\(732\) 2.10867 + 2.48251i 0.0779385 + 0.0917563i
\(733\) 4.22415 + 1.95430i 0.156023 + 0.0721837i 0.496346 0.868125i \(-0.334675\pi\)
−0.340324 + 0.940308i \(0.610537\pi\)
\(734\) −10.8516 + 5.02050i −0.400541 + 0.185310i
\(735\) 16.7013 19.6623i 0.616036 0.725254i
\(736\) 6.74630 2.27309i 0.248672 0.0837874i
\(737\) −2.71269 + 5.11668i −0.0999234 + 0.188476i
\(738\) 1.87804 3.54236i 0.0691316 0.130396i
\(739\) 12.3556 4.16308i 0.454507 0.153141i −0.0827310 0.996572i \(-0.526364\pi\)
0.537238 + 0.843431i \(0.319468\pi\)
\(740\) −16.6678 + 19.6228i −0.612719 + 0.721348i
\(741\) 0.236485 0.109410i 0.00868751 0.00401927i
\(742\) −6.02590 2.78788i −0.221218 0.102346i
\(743\) −18.5914 21.8875i −0.682054 0.802976i 0.306814 0.951769i \(-0.400737\pi\)
−0.988868 + 0.148793i \(0.952461\pi\)
\(744\) −2.92284 1.75861i −0.107156 0.0644739i
\(745\) 29.9089 3.25278i 1.09578 0.119173i
\(746\) 0.933918 + 5.69665i 0.0341932 + 0.208569i
\(747\) 2.68747 2.54571i 0.0983295 0.0931427i
\(748\) 3.50341 + 1.18044i 0.128097 + 0.0431610i
\(749\) −0.0983714 + 0.0591881i −0.00359441 + 0.00216269i
\(750\) 19.6058 14.9039i 0.715901 0.544214i
\(751\) 3.42389 + 8.59331i 0.124939 + 0.313574i 0.978120 0.208041i \(-0.0667089\pi\)
−0.853181 + 0.521616i \(0.825330\pi\)
\(752\) 2.69090 + 3.96878i 0.0981271 + 0.144727i
\(753\) −2.14788 + 13.1015i −0.0782731 + 0.477445i
\(754\) −0.0201635 + 0.371894i −0.000734312 + 0.0135436i
\(755\) −48.2523 + 10.6211i −1.75608 + 0.386543i
\(756\) −0.281128 + 0.705577i −0.0102245 + 0.0256616i
\(757\) −1.24378 4.47968i −0.0452059 0.162817i 0.937502 0.347980i \(-0.113132\pi\)
−0.982708 + 0.185163i \(0.940719\pi\)
\(758\) −0.0437525 0.806967i −0.00158916 0.0293104i
\(759\) 5.71851 +