Properties

Label 225.2.q.a.16.9
Level $225$
Weight $2$
Character 225.16
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 16.9
Character \(\chi\) \(=\) 225.16
Dual form 225.2.q.a.211.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.23977 + 0.551980i) q^{2} +(1.19364 - 1.25508i) q^{3} +(-0.105919 + 0.117635i) q^{4} +(-2.19872 + 0.406964i) q^{5} +(-0.787056 + 2.21487i) q^{6} +(-1.81169 + 3.13794i) q^{7} +(0.905114 - 2.78565i) q^{8} +(-0.150451 - 2.99623i) q^{9} +O(q^{10})\) \(q+(-1.23977 + 0.551980i) q^{2} +(1.19364 - 1.25508i) q^{3} +(-0.105919 + 0.117635i) q^{4} +(-2.19872 + 0.406964i) q^{5} +(-0.787056 + 2.21487i) q^{6} +(-1.81169 + 3.13794i) q^{7} +(0.905114 - 2.78565i) q^{8} +(-0.150451 - 2.99623i) q^{9} +(2.50127 - 1.71819i) q^{10} +(-5.29383 + 2.35697i) q^{11} +(0.0212123 + 0.273352i) q^{12} +(-0.742899 - 0.330760i) q^{13} +(0.513995 - 4.89034i) q^{14} +(-2.11371 + 3.24534i) q^{15} +(0.382402 + 3.63831i) q^{16} +(0.527788 - 1.62436i) q^{17} +(1.84038 + 3.63158i) q^{18} +(-2.00045 + 6.15676i) q^{19} +(0.185014 - 0.301753i) q^{20} +(1.77586 + 6.01939i) q^{21} +(5.26212 - 5.84418i) q^{22} +(-0.197808 + 1.88202i) q^{23} +(-2.41584 - 4.46105i) q^{24} +(4.66876 - 1.78960i) q^{25} +1.10360 q^{26} +(-3.94009 - 3.38758i) q^{27} +(-0.177240 - 0.545488i) q^{28} +(-7.33067 - 1.55818i) q^{29} +(0.829145 - 5.19019i) q^{30} +(-1.47849 + 0.314262i) q^{31} +(0.446643 + 0.773608i) q^{32} +(-3.36074 + 9.45755i) q^{33} +(0.242282 + 2.30516i) q^{34} +(2.70638 - 7.63676i) q^{35} +(0.368398 + 0.299660i) q^{36} +(2.11767 - 1.53858i) q^{37} +(-0.918313 - 8.73716i) q^{38} +(-1.30188 + 0.537590i) q^{39} +(-0.856434 + 6.49323i) q^{40} +(-3.60811 - 1.60644i) q^{41} +(-5.52424 - 6.48240i) q^{42} +(4.09520 - 7.09310i) q^{43} +(0.283457 - 0.872391i) q^{44} +(1.55016 + 6.52664i) q^{45} +(-0.793600 - 2.44245i) q^{46} +(10.8737 + 2.31128i) q^{47} +(5.02282 + 3.86289i) q^{48} +(-3.06445 - 5.30779i) q^{49} +(-4.80035 + 4.79575i) q^{50} +(-1.40872 - 2.60132i) q^{51} +(0.117597 - 0.0523574i) q^{52} +(2.97637 + 9.16031i) q^{53} +(6.75467 + 2.02497i) q^{54} +(10.6805 - 7.33671i) q^{55} +(7.10143 + 7.88694i) q^{56} +(5.33941 + 9.85968i) q^{57} +(9.94842 - 2.11460i) q^{58} +(2.50272 + 1.11428i) q^{59} +(-0.157884 - 0.592392i) q^{60} +(1.04900 - 0.467045i) q^{61} +(1.65951 - 1.20571i) q^{62} +(9.67455 + 4.95613i) q^{63} +(-6.90009 - 5.01321i) q^{64} +(1.76804 + 0.424917i) q^{65} +(-1.05384 - 13.5802i) q^{66} +(-3.12703 + 0.664670i) q^{67} +(0.135180 + 0.234138i) q^{68} +(2.12597 + 2.49471i) q^{69} +(0.860057 + 10.9617i) q^{70} +(2.75915 + 8.49180i) q^{71} +(-8.48262 - 2.29282i) q^{72} +(-6.96422 - 5.05980i) q^{73} +(-1.77615 + 3.07639i) q^{74} +(3.32672 - 7.99581i) q^{75} +(-0.512367 - 0.887445i) q^{76} +(2.19477 - 20.8818i) q^{77} +(1.31729 - 1.38510i) q^{78} +(3.47196 + 0.737989i) q^{79} +(-2.32146 - 7.84402i) q^{80} +(-8.95473 + 0.901572i) q^{81} +5.35994 q^{82} +(-6.17496 - 6.85798i) q^{83} +(-0.896192 - 0.428666i) q^{84} +(-0.499402 + 3.78632i) q^{85} +(-1.16185 + 11.0543i) q^{86} +(-10.7058 + 7.34067i) q^{87} +(1.77417 + 16.8801i) q^{88} +(-0.00564656 - 0.00410246i) q^{89} +(-5.52441 - 7.23586i) q^{90} +(2.38381 - 1.73194i) q^{91} +(-0.200440 - 0.222612i) q^{92} +(-1.37035 + 2.23073i) q^{93} +(-14.7566 + 3.13662i) q^{94} +(1.89286 - 14.3511i) q^{95} +(1.50407 + 0.362836i) q^{96} +(0.0365021 + 0.00775876i) q^{97} +(6.72900 + 4.88891i) q^{98} +(7.85846 + 15.5069i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.23977 + 0.551980i −0.876648 + 0.390309i −0.795185 0.606367i \(-0.792626\pi\)
−0.0814635 + 0.996676i \(0.525959\pi\)
\(3\) 1.19364 1.25508i 0.689148 0.724621i
\(4\) −0.105919 + 0.117635i −0.0529597 + 0.0588177i
\(5\) −2.19872 + 0.406964i −0.983299 + 0.182000i
\(6\) −0.787056 + 2.21487i −0.321314 + 0.904218i
\(7\) −1.81169 + 3.13794i −0.684755 + 1.18603i 0.288759 + 0.957402i \(0.406757\pi\)
−0.973514 + 0.228629i \(0.926576\pi\)
\(8\) 0.905114 2.78565i 0.320006 0.984877i
\(9\) −0.150451 2.99623i −0.0501505 0.998742i
\(10\) 2.50127 1.71819i 0.790971 0.543340i
\(11\) −5.29383 + 2.35697i −1.59615 + 0.710652i −0.996010 0.0892428i \(-0.971555\pi\)
−0.600140 + 0.799895i \(0.704889\pi\)
\(12\) 0.0212123 + 0.273352i 0.00612347 + 0.0789098i
\(13\) −0.742899 0.330760i −0.206043 0.0917363i 0.301120 0.953586i \(-0.402639\pi\)
−0.507164 + 0.861850i \(0.669306\pi\)
\(14\) 0.513995 4.89034i 0.137371 1.30700i
\(15\) −2.11371 + 3.24534i −0.545757 + 0.837943i
\(16\) 0.382402 + 3.63831i 0.0956005 + 0.909578i
\(17\) 0.527788 1.62436i 0.128007 0.393966i −0.866430 0.499299i \(-0.833591\pi\)
0.994437 + 0.105333i \(0.0335908\pi\)
\(18\) 1.84038 + 3.63158i 0.433782 + 0.855971i
\(19\) −2.00045 + 6.15676i −0.458935 + 1.41246i 0.407517 + 0.913198i \(0.366395\pi\)
−0.866452 + 0.499260i \(0.833605\pi\)
\(20\) 0.185014 0.301753i 0.0413704 0.0674741i
\(21\) 1.77586 + 6.01939i 0.387525 + 1.31354i
\(22\) 5.26212 5.84418i 1.12189 1.24598i
\(23\) −0.197808 + 1.88202i −0.0412458 + 0.392428i 0.954351 + 0.298688i \(0.0965489\pi\)
−0.995597 + 0.0937400i \(0.970118\pi\)
\(24\) −2.41584 4.46105i −0.493131 0.910609i
\(25\) 4.66876 1.78960i 0.933752 0.357920i
\(26\) 1.10360 0.216433
\(27\) −3.94009 3.38758i −0.758270 0.651941i
\(28\) −0.177240 0.545488i −0.0334952 0.103088i
\(29\) −7.33067 1.55818i −1.36127 0.289347i −0.531315 0.847175i \(-0.678302\pi\)
−0.829957 + 0.557827i \(0.811635\pi\)
\(30\) 0.829145 5.19019i 0.151380 0.947595i
\(31\) −1.47849 + 0.314262i −0.265544 + 0.0564431i −0.338759 0.940873i \(-0.610007\pi\)
0.0732155 + 0.997316i \(0.476674\pi\)
\(32\) 0.446643 + 0.773608i 0.0789560 + 0.136756i
\(33\) −3.36074 + 9.45755i −0.585030 + 1.64635i
\(34\) 0.242282 + 2.30516i 0.0415511 + 0.395332i
\(35\) 2.70638 7.63676i 0.457461 1.29085i
\(36\) 0.368398 + 0.299660i 0.0613997 + 0.0499433i
\(37\) 2.11767 1.53858i 0.348143 0.252940i −0.399947 0.916538i \(-0.630971\pi\)
0.748089 + 0.663598i \(0.230971\pi\)
\(38\) −0.918313 8.73716i −0.148970 1.41736i
\(39\) −1.30188 + 0.537590i −0.208468 + 0.0860833i
\(40\) −0.856434 + 6.49323i −0.135414 + 1.02667i
\(41\) −3.60811 1.60644i −0.563493 0.250883i 0.105163 0.994455i \(-0.466463\pi\)
−0.668656 + 0.743572i \(0.733130\pi\)
\(42\) −5.52424 6.48240i −0.852408 1.00026i
\(43\) 4.09520 7.09310i 0.624513 1.08169i −0.364122 0.931351i \(-0.618631\pi\)
0.988635 0.150336i \(-0.0480357\pi\)
\(44\) 0.283457 0.872391i 0.0427327 0.131518i
\(45\) 1.55016 + 6.52664i 0.231084 + 0.972934i
\(46\) −0.793600 2.44245i −0.117010 0.360120i
\(47\) 10.8737 + 2.31128i 1.58609 + 0.337134i 0.914752 0.404016i \(-0.132386\pi\)
0.671339 + 0.741150i \(0.265719\pi\)
\(48\) 5.02282 + 3.86289i 0.724982 + 0.557560i
\(49\) −3.06445 5.30779i −0.437779 0.758255i
\(50\) −4.80035 + 4.79575i −0.678873 + 0.678222i
\(51\) −1.40872 2.60132i −0.197260 0.364258i
\(52\) 0.117597 0.0523574i 0.0163077 0.00726066i
\(53\) 2.97637 + 9.16031i 0.408835 + 1.25827i 0.917650 + 0.397390i \(0.130084\pi\)
−0.508815 + 0.860876i \(0.669916\pi\)
\(54\) 6.75467 + 2.02497i 0.919194 + 0.275563i
\(55\) 10.6805 7.33671i 1.44015 0.989282i
\(56\) 7.10143 + 7.88694i 0.948969 + 1.05394i
\(57\) 5.33941 + 9.85968i 0.707222 + 1.30595i
\(58\) 9.94842 2.11460i 1.30629 0.277661i
\(59\) 2.50272 + 1.11428i 0.325826 + 0.145067i 0.563130 0.826368i \(-0.309597\pi\)
−0.237304 + 0.971435i \(0.576264\pi\)
\(60\) −0.157884 0.592392i −0.0203828 0.0764775i
\(61\) 1.04900 0.467045i 0.134311 0.0597990i −0.338481 0.940973i \(-0.609913\pi\)
0.472792 + 0.881174i \(0.343246\pi\)
\(62\) 1.65951 1.20571i 0.210758 0.153125i
\(63\) 9.67455 + 4.95613i 1.21888 + 0.624413i
\(64\) −6.90009 5.01321i −0.862511 0.626651i
\(65\) 1.76804 + 0.424917i 0.219298 + 0.0527044i
\(66\) −1.05384 13.5802i −0.129718 1.67161i
\(67\) −3.12703 + 0.664670i −0.382027 + 0.0812024i −0.394922 0.918714i \(-0.629229\pi\)
0.0128953 + 0.999917i \(0.495895\pi\)
\(68\) 0.135180 + 0.234138i 0.0163930 + 0.0283935i
\(69\) 2.12597 + 2.49471i 0.255937 + 0.300328i
\(70\) 0.860057 + 10.9617i 0.102797 + 1.31017i
\(71\) 2.75915 + 8.49180i 0.327451 + 1.00779i 0.970322 + 0.241817i \(0.0777432\pi\)
−0.642871 + 0.765975i \(0.722257\pi\)
\(72\) −8.48262 2.29282i −0.999686 0.270211i
\(73\) −6.96422 5.05980i −0.815101 0.592205i 0.100204 0.994967i \(-0.468050\pi\)
−0.915305 + 0.402762i \(0.868050\pi\)
\(74\) −1.77615 + 3.07639i −0.206474 + 0.357623i
\(75\) 3.32672 7.99581i 0.384137 0.923276i
\(76\) −0.512367 0.887445i −0.0587725 0.101797i
\(77\) 2.19477 20.8818i 0.250117 2.37971i
\(78\) 1.31729 1.38510i 0.149154 0.156832i
\(79\) 3.47196 + 0.737989i 0.390627 + 0.0830302i 0.399038 0.916934i \(-0.369344\pi\)
−0.00841147 + 0.999965i \(0.502677\pi\)
\(80\) −2.32146 7.84402i −0.259547 0.876988i
\(81\) −8.95473 + 0.901572i −0.994970 + 0.100175i
\(82\) 5.35994 0.591907
\(83\) −6.17496 6.85798i −0.677790 0.752762i 0.301887 0.953344i \(-0.402383\pi\)
−0.979677 + 0.200582i \(0.935717\pi\)
\(84\) −0.896192 0.428666i −0.0977825 0.0467713i
\(85\) −0.499402 + 3.78632i −0.0541677 + 0.410684i
\(86\) −1.16185 + 11.0543i −0.125286 + 1.19201i
\(87\) −10.7058 + 7.34067i −1.14778 + 0.787003i
\(88\) 1.77417 + 16.8801i 0.189127 + 1.79942i
\(89\) −0.00564656 0.00410246i −0.000598534 0.000434860i 0.587486 0.809234i \(-0.300118\pi\)
−0.588084 + 0.808800i \(0.700118\pi\)
\(90\) −5.52441 7.23586i −0.582324 0.762727i
\(91\) 2.38381 1.73194i 0.249891 0.181557i
\(92\) −0.200440 0.222612i −0.0208973 0.0232089i
\(93\) −1.37035 + 2.23073i −0.142099 + 0.231316i
\(94\) −14.7566 + 3.13662i −1.52203 + 0.323518i
\(95\) 1.89286 14.3511i 0.194204 1.47239i
\(96\) 1.50407 + 0.362836i 0.153508 + 0.0370318i
\(97\) 0.0365021 + 0.00775876i 0.00370623 + 0.000787783i 0.209764 0.977752i \(-0.432730\pi\)
−0.206058 + 0.978540i \(0.566064\pi\)
\(98\) 6.72900 + 4.88891i 0.679732 + 0.493854i
\(99\) 7.85846 + 15.5069i 0.789805 + 1.55850i
\(100\) −0.283992 + 0.738765i −0.0283992 + 0.0738765i
\(101\) −5.04199 + 8.73298i −0.501696 + 0.868964i 0.498302 + 0.867004i \(0.333957\pi\)
−0.999998 + 0.00196000i \(0.999376\pi\)
\(102\) 3.18236 + 2.44745i 0.315101 + 0.242334i
\(103\) −7.45712 + 8.28197i −0.734772 + 0.816046i −0.988499 0.151229i \(-0.951677\pi\)
0.253727 + 0.967276i \(0.418343\pi\)
\(104\) −1.59379 + 1.77008i −0.156284 + 0.173571i
\(105\) −6.35430 12.5123i −0.620116 1.22107i
\(106\) −8.74631 9.71377i −0.849517 0.943484i
\(107\) 3.33860 0.322754 0.161377 0.986893i \(-0.448406\pi\)
0.161377 + 0.986893i \(0.448406\pi\)
\(108\) 0.815832 0.104683i 0.0785034 0.0100731i
\(109\) −7.34425 + 5.33591i −0.703451 + 0.511087i −0.881054 0.473015i \(-0.843166\pi\)
0.177603 + 0.984102i \(0.443166\pi\)
\(110\) −9.19158 + 14.9912i −0.876383 + 1.42936i
\(111\) 0.596696 4.49435i 0.0566359 0.426585i
\(112\) −12.1096 5.39155i −1.14425 0.509453i
\(113\) −5.25363 2.33907i −0.494220 0.220041i 0.144464 0.989510i \(-0.453854\pi\)
−0.638684 + 0.769469i \(0.720521\pi\)
\(114\) −12.0620 9.27647i −1.12971 0.868821i
\(115\) −0.330988 4.21854i −0.0308648 0.393380i
\(116\) 0.959758 0.697305i 0.0891113 0.0647432i
\(117\) −0.879262 + 2.27566i −0.0812878 + 0.210385i
\(118\) −3.71785 −0.342255
\(119\) 4.14097 + 4.59902i 0.379602 + 0.421591i
\(120\) 7.12725 + 8.82546i 0.650626 + 0.805651i
\(121\) 15.1089 16.7802i 1.37354 1.52547i
\(122\) −1.04272 + 1.15805i −0.0944031 + 0.104845i
\(123\) −6.32299 + 2.61097i −0.570125 + 0.235423i
\(124\) 0.119632 0.207209i 0.0107433 0.0186079i
\(125\) −9.53701 + 5.83485i −0.853016 + 0.521885i
\(126\) −14.7299 0.804287i −1.31224 0.0716516i
\(127\) −7.75165 5.63190i −0.687847 0.499750i 0.188104 0.982149i \(-0.439766\pi\)
−0.875952 + 0.482399i \(0.839766\pi\)
\(128\) 9.57417 + 2.03505i 0.846245 + 0.179875i
\(129\) −4.01421 13.6064i −0.353432 1.19798i
\(130\) −2.42650 + 0.449123i −0.212818 + 0.0393907i
\(131\) −4.63169 + 0.984497i −0.404673 + 0.0860159i −0.405751 0.913984i \(-0.632990\pi\)
0.00107841 + 0.999999i \(0.499657\pi\)
\(132\) −0.756575 1.39708i −0.0658514 0.121600i
\(133\) −15.6954 17.4315i −1.36096 1.51150i
\(134\) 3.50990 2.55009i 0.303209 0.220294i
\(135\) 10.0418 + 5.84488i 0.864259 + 0.503047i
\(136\) −4.04721 2.94047i −0.347045 0.252143i
\(137\) 0.843300 + 8.02346i 0.0720480 + 0.685491i 0.969619 + 0.244620i \(0.0786634\pi\)
−0.897571 + 0.440870i \(0.854670\pi\)
\(138\) −4.01274 1.91937i −0.341587 0.163388i
\(139\) −1.18925 + 11.3149i −0.100871 + 0.959721i 0.820660 + 0.571417i \(0.193606\pi\)
−0.921531 + 0.388305i \(0.873061\pi\)
\(140\) 0.611695 + 1.12725i 0.0516977 + 0.0952698i
\(141\) 15.8801 10.8885i 1.33735 0.916979i
\(142\) −8.10801 9.00486i −0.680409 0.755671i
\(143\) 4.71237 0.394069
\(144\) 10.8437 1.69315i 0.903640 0.141096i
\(145\) 16.7522 + 0.442693i 1.39120 + 0.0367636i
\(146\) 11.4269 + 2.42887i 0.945699 + 0.201015i
\(147\) −10.3195 2.48945i −0.851142 0.205326i
\(148\) −0.0433112 + 0.412078i −0.00356016 + 0.0338726i
\(149\) 7.57401 + 13.1186i 0.620487 + 1.07471i 0.989395 + 0.145249i \(0.0463983\pi\)
−0.368908 + 0.929466i \(0.620268\pi\)
\(150\) 0.289162 + 11.7492i 0.0236099 + 0.959320i
\(151\) 1.63784 2.83682i 0.133285 0.230857i −0.791656 0.610967i \(-0.790781\pi\)
0.924941 + 0.380110i \(0.124114\pi\)
\(152\) 15.3400 + 11.1451i 1.24424 + 0.903990i
\(153\) −4.94637 1.33698i −0.399890 0.108089i
\(154\) 8.80535 + 27.1001i 0.709555 + 2.18379i
\(155\) 3.12289 1.29266i 0.250836 0.103829i
\(156\) 0.0746552 0.210089i 0.00597720 0.0168206i
\(157\) 3.26548 + 5.65597i 0.260614 + 0.451396i 0.966405 0.257024i \(-0.0827418\pi\)
−0.705792 + 0.708420i \(0.749408\pi\)
\(158\) −4.71178 + 1.00152i −0.374849 + 0.0796767i
\(159\) 15.0496 + 7.19853i 1.19351 + 0.570881i
\(160\) −1.29687 1.51918i −0.102527 0.120102i
\(161\) −5.54729 4.03035i −0.437188 0.317636i
\(162\) 10.6041 6.06057i 0.833139 0.476164i
\(163\) −16.9298 + 12.3002i −1.32605 + 0.963429i −0.326211 + 0.945297i \(0.605772\pi\)
−0.999836 + 0.0181320i \(0.994228\pi\)
\(164\) 0.571143 0.254289i 0.0445988 0.0198567i
\(165\) 3.54046 22.1622i 0.275625 1.72533i
\(166\) 11.4410 + 5.09385i 0.887993 + 0.395360i
\(167\) −1.61166 + 0.342569i −0.124714 + 0.0265088i −0.269846 0.962904i \(-0.586973\pi\)
0.145132 + 0.989412i \(0.453639\pi\)
\(168\) 18.3753 + 0.501294i 1.41768 + 0.0386757i
\(169\) −8.25620 9.16944i −0.635092 0.705342i
\(170\) −1.47083 4.96981i −0.112808 0.381167i
\(171\) 18.7480 + 5.06751i 1.43370 + 0.387523i
\(172\) 0.400638 + 1.23304i 0.0305484 + 0.0940183i
\(173\) −17.6770 + 7.87029i −1.34395 + 0.598367i −0.947520 0.319696i \(-0.896419\pi\)
−0.396434 + 0.918063i \(0.629753\pi\)
\(174\) 9.22083 15.0101i 0.699029 1.13791i
\(175\) −2.84269 + 17.8925i −0.214887 + 1.35255i
\(176\) −10.5998 18.3593i −0.798987 1.38389i
\(177\) 4.38585 1.81106i 0.329661 0.136128i
\(178\) 0.00926489 + 0.00196931i 0.000694433 + 0.000147606i
\(179\) −5.48463 16.8800i −0.409941 1.26167i −0.916698 0.399580i \(-0.869156\pi\)
0.506758 0.862089i \(-0.330844\pi\)
\(180\) −0.931956 0.508945i −0.0694639 0.0379345i
\(181\) −1.01795 + 3.13292i −0.0756633 + 0.232868i −0.981734 0.190259i \(-0.939067\pi\)
0.906071 + 0.423126i \(0.139067\pi\)
\(182\) −1.99937 + 3.46302i −0.148204 + 0.256696i
\(183\) 0.665949 1.87406i 0.0492284 0.138535i
\(184\) 5.06361 + 2.25446i 0.373294 + 0.166201i
\(185\) −4.03002 + 4.24472i −0.296293 + 0.312078i
\(186\) 0.467601 3.52200i 0.0342862 0.258245i
\(187\) 1.03455 + 9.84309i 0.0756538 + 0.719798i
\(188\) −1.42362 + 1.03432i −0.103828 + 0.0754358i
\(189\) 17.7683 6.22651i 1.29245 0.452912i
\(190\) 5.57482 + 18.8369i 0.404440 + 1.36657i
\(191\) 2.35882 + 22.4427i 0.170678 + 1.62389i 0.659635 + 0.751586i \(0.270711\pi\)
−0.488957 + 0.872308i \(0.662622\pi\)
\(192\) −14.5282 + 2.67620i −1.04848 + 0.193138i
\(193\) −7.18794 12.4499i −0.517399 0.896161i −0.999796 0.0202084i \(-0.993567\pi\)
0.482397 0.875953i \(-0.339766\pi\)
\(194\) −0.0495368 + 0.0105294i −0.00355653 + 0.000755965i
\(195\) 2.64370 1.71183i 0.189319 0.122587i
\(196\) 0.948969 + 0.201710i 0.0677835 + 0.0144078i
\(197\) 3.42186 + 10.5314i 0.243798 + 0.750332i 0.995832 + 0.0912078i \(0.0290728\pi\)
−0.752034 + 0.659124i \(0.770927\pi\)
\(198\) −18.3022 14.8872i −1.30068 1.05799i
\(199\) 13.9667 0.990073 0.495037 0.868872i \(-0.335155\pi\)
0.495037 + 0.868872i \(0.335155\pi\)
\(200\) −0.759448 14.6253i −0.0537011 1.03417i
\(201\) −2.89833 + 4.71804i −0.204432 + 0.332785i
\(202\) 1.43046 13.6099i 0.100647 0.957592i
\(203\) 18.1704 20.1803i 1.27531 1.41638i
\(204\) 0.455218 + 0.109815i 0.0318717 + 0.00768860i
\(205\) 8.58700 + 2.06373i 0.599742 + 0.144137i
\(206\) 4.67361 14.3839i 0.325626 1.00217i
\(207\) 5.66871 + 0.309525i 0.394003 + 0.0215135i
\(208\) 0.919323 2.82938i 0.0637436 0.196183i
\(209\) −3.92121 37.3079i −0.271236 2.58064i
\(210\) 14.7844 + 12.0048i 1.02022 + 0.828412i
\(211\) −2.79668 + 26.6087i −0.192532 + 1.83182i 0.291273 + 0.956640i \(0.405921\pi\)
−0.483805 + 0.875176i \(0.660746\pi\)
\(212\) −1.39283 0.620129i −0.0956602 0.0425906i
\(213\) 13.9513 + 6.67319i 0.955929 + 0.457239i
\(214\) −4.13908 + 1.84284i −0.282942 + 0.125974i
\(215\) −6.11758 + 17.2624i −0.417216 + 1.17728i
\(216\) −13.0029 + 7.90957i −0.884732 + 0.538178i
\(217\) 1.69242 5.20875i 0.114889 0.353593i
\(218\) 6.15985 10.6692i 0.417197 0.722607i
\(219\) −14.6632 + 2.70108i −0.990849 + 0.182522i
\(220\) −0.268212 + 2.03350i −0.0180828 + 0.137099i
\(221\) −0.929369 + 1.03217i −0.0625161 + 0.0694312i
\(222\) 1.74103 + 5.90131i 0.116850 + 0.396070i
\(223\) 22.3244 9.93945i 1.49495 0.665595i 0.513636 0.858008i \(-0.328298\pi\)
0.981314 + 0.192414i \(0.0616315\pi\)
\(224\) −3.23671 −0.216262
\(225\) −6.06447 13.7194i −0.404298 0.914627i
\(226\) 7.80440 0.519141
\(227\) −1.59524 + 0.710248i −0.105880 + 0.0471408i −0.458993 0.888440i \(-0.651790\pi\)
0.353113 + 0.935581i \(0.385123\pi\)
\(228\) −1.72540 0.416228i −0.114267 0.0275654i
\(229\) 13.0970 14.5457i 0.865474 0.961206i −0.134083 0.990970i \(-0.542809\pi\)
0.999557 + 0.0297638i \(0.00947551\pi\)
\(230\) 2.73890 + 5.04730i 0.180597 + 0.332809i
\(231\) −23.5886 27.6800i −1.55202 1.82121i
\(232\) −10.9756 + 19.0104i −0.720587 + 1.24809i
\(233\) 1.68425 5.18360i 0.110339 0.339589i −0.880607 0.473847i \(-0.842865\pi\)
0.990946 + 0.134258i \(0.0428650\pi\)
\(234\) −0.166037 3.30662i −0.0108542 0.216161i
\(235\) −24.8488 0.656653i −1.62096 0.0428353i
\(236\) −0.396165 + 0.176384i −0.0257882 + 0.0114816i
\(237\) 5.07051 3.47670i 0.329365 0.225836i
\(238\) −7.67241 3.41598i −0.497328 0.221425i
\(239\) −0.382646 + 3.64063i −0.0247513 + 0.235493i 0.975151 + 0.221540i \(0.0711083\pi\)
−0.999903 + 0.0139533i \(0.995558\pi\)
\(240\) −12.6159 6.44931i −0.814350 0.416301i
\(241\) −1.95702 18.6198i −0.126063 1.19941i −0.856397 0.516319i \(-0.827302\pi\)
0.730333 0.683091i \(-0.239365\pi\)
\(242\) −9.46924 + 29.1433i −0.608706 + 1.87340i
\(243\) −9.55717 + 12.3151i −0.613093 + 0.790011i
\(244\) −0.0561685 + 0.172869i −0.00359582 + 0.0110668i
\(245\) 8.89796 + 10.4232i 0.568470 + 0.665916i
\(246\) 6.39784 6.72716i 0.407911 0.428908i
\(247\) 3.52255 3.91218i 0.224134 0.248926i
\(248\) −0.462773 + 4.40299i −0.0293861 + 0.279590i
\(249\) −15.9780 0.435894i −1.01256 0.0276236i
\(250\) 8.60295 12.4981i 0.544098 0.790449i
\(251\) −8.85291 −0.558791 −0.279395 0.960176i \(-0.590134\pi\)
−0.279395 + 0.960176i \(0.590134\pi\)
\(252\) −1.60774 + 0.613120i −0.101278 + 0.0386229i
\(253\) −3.38869 10.4293i −0.213045 0.655685i
\(254\) 12.7189 + 2.70349i 0.798057 + 0.169632i
\(255\) 4.15603 + 5.14629i 0.260260 + 0.322273i
\(256\) 3.69215 0.784790i 0.230759 0.0490494i
\(257\) 4.67379 + 8.09525i 0.291543 + 0.504968i 0.974175 0.225795i \(-0.0724979\pi\)
−0.682632 + 0.730763i \(0.739165\pi\)
\(258\) 12.4872 + 14.6530i 0.777417 + 0.912257i
\(259\) 0.991401 + 9.43255i 0.0616026 + 0.586110i
\(260\) −0.237255 + 0.162977i −0.0147139 + 0.0101074i
\(261\) −3.56576 + 22.1988i −0.220715 + 1.37407i
\(262\) 5.19880 3.77715i 0.321183 0.233353i
\(263\) −1.12680 10.7208i −0.0694817 0.661075i −0.972727 0.231951i \(-0.925489\pi\)
0.903246 0.429124i \(-0.141178\pi\)
\(264\) 23.3036 + 17.9220i 1.43424 + 1.10302i
\(265\) −10.2721 18.9297i −0.631011 1.16284i
\(266\) 29.0804 + 12.9474i 1.78303 + 0.793858i
\(267\) −0.0118889 + 0.00219002i −0.000727587 + 0.000134027i
\(268\) 0.253024 0.438251i 0.0154559 0.0267704i
\(269\) 0.431845 1.32908i 0.0263301 0.0810356i −0.937028 0.349254i \(-0.886435\pi\)
0.963358 + 0.268219i \(0.0864350\pi\)
\(270\) −15.6757 1.70343i −0.953995 0.103668i
\(271\) 0.0702470 + 0.216198i 0.00426720 + 0.0131331i 0.953167 0.302443i \(-0.0978022\pi\)
−0.948900 + 0.315576i \(0.897802\pi\)
\(272\) 6.11178 + 1.29910i 0.370581 + 0.0787694i
\(273\) 0.671687 5.05918i 0.0406523 0.306196i
\(274\) −5.47429 9.48174i −0.330714 0.572813i
\(275\) −20.4976 + 20.4780i −1.23605 + 1.23487i
\(276\) −0.518649 0.0141492i −0.0312190 0.000851682i
\(277\) 9.08110 4.04317i 0.545630 0.242930i −0.115361 0.993324i \(-0.536803\pi\)
0.660992 + 0.750393i \(0.270136\pi\)
\(278\) −4.77123 14.6844i −0.286160 0.880709i
\(279\) 1.16404 + 4.38259i 0.0696892 + 0.262379i
\(280\) −18.8238 14.4512i −1.12494 0.863622i
\(281\) −1.01002 1.12174i −0.0602529 0.0669176i 0.712265 0.701911i \(-0.247670\pi\)
−0.772518 + 0.634993i \(0.781003\pi\)
\(282\) −13.6774 + 22.2647i −0.814477 + 1.32585i
\(283\) 1.19385 0.253761i 0.0709671 0.0150845i −0.172291 0.985046i \(-0.555117\pi\)
0.243258 + 0.969962i \(0.421784\pi\)
\(284\) −1.29118 0.574873i −0.0766177 0.0341124i
\(285\) −15.7524 19.5058i −0.933092 1.15542i
\(286\) −5.84225 + 2.60114i −0.345459 + 0.153808i
\(287\) 11.5777 8.41168i 0.683409 0.496526i
\(288\) 2.25070 1.45463i 0.132624 0.0857150i
\(289\) 11.3933 + 8.27771i 0.670193 + 0.486924i
\(290\) −21.0132 + 8.69807i −1.23394 + 0.510768i
\(291\) 0.0533082 0.0365519i 0.00312498 0.00214271i
\(292\) 1.33286 0.283308i 0.0779997 0.0165793i
\(293\) −9.32859 16.1576i −0.544982 0.943937i −0.998608 0.0527445i \(-0.983203\pi\)
0.453626 0.891192i \(-0.350130\pi\)
\(294\) 14.1680 2.60985i 0.826293 0.152209i
\(295\) −5.95625 1.43148i −0.346786 0.0833440i
\(296\) −2.36921 7.29168i −0.137708 0.423820i
\(297\) 28.8426 + 8.64664i 1.67362 + 0.501729i
\(298\) −16.6312 12.0833i −0.963419 0.699965i
\(299\) 0.769448 1.33272i 0.0444983 0.0770733i
\(300\) 0.588226 + 1.23825i 0.0339612 + 0.0714905i
\(301\) 14.8385 + 25.7010i 0.855276 + 1.48138i
\(302\) −0.464671 + 4.42105i −0.0267388 + 0.254403i
\(303\) 4.94227 + 16.7521i 0.283926 + 0.962384i
\(304\) −23.1652 4.92392i −1.32862 0.282406i
\(305\) −2.11639 + 1.45381i −0.121184 + 0.0832448i
\(306\) 6.87034 1.07275i 0.392751 0.0613249i
\(307\) 16.1713 0.922948 0.461474 0.887154i \(-0.347321\pi\)
0.461474 + 0.887154i \(0.347321\pi\)
\(308\) 2.22398 + 2.46997i 0.126723 + 0.140740i
\(309\) 1.49342 + 19.2450i 0.0849580 + 1.09481i
\(310\) −3.15813 + 3.32637i −0.179370 + 0.188925i
\(311\) 2.17268 20.6717i 0.123202 1.17218i −0.741873 0.670541i \(-0.766062\pi\)
0.865074 0.501644i \(-0.167271\pi\)
\(312\) 0.319186 + 4.11318i 0.0180704 + 0.232863i
\(313\) 1.30223 + 12.3899i 0.0736064 + 0.700318i 0.967643 + 0.252324i \(0.0811949\pi\)
−0.894036 + 0.447994i \(0.852138\pi\)
\(314\) −7.17042 5.20962i −0.404650 0.293996i
\(315\) −23.2886 6.95996i −1.31216 0.392149i
\(316\) −0.454562 + 0.330259i −0.0255711 + 0.0185785i
\(317\) −15.4630 17.1734i −0.868488 0.964554i 0.131152 0.991362i \(-0.458132\pi\)
−0.999641 + 0.0268081i \(0.991466\pi\)
\(318\) −22.6315 0.617407i −1.26911 0.0346225i
\(319\) 42.4799 9.02939i 2.37842 0.505549i
\(320\) 17.2116 + 8.21457i 0.962157 + 0.459208i
\(321\) 3.98508 4.19020i 0.222425 0.233874i
\(322\) 9.10203 + 1.93470i 0.507236 + 0.107816i
\(323\) 8.94501 + 6.49893i 0.497714 + 0.361610i
\(324\) 0.842423 1.14889i 0.0468013 0.0638271i
\(325\) −4.06035 0.214747i −0.225228 0.0119120i
\(326\) 14.1996 24.5944i 0.786441 1.36216i
\(327\) −2.06939 + 15.5868i −0.114438 + 0.861950i
\(328\) −7.74073 + 8.59695i −0.427410 + 0.474687i
\(329\) −26.9524 + 29.9337i −1.48594 + 1.65030i
\(330\) 7.84376 + 29.4303i 0.431785 + 1.62008i
\(331\) 5.37570 + 5.97032i 0.295475 + 0.328159i 0.872543 0.488538i \(-0.162470\pi\)
−0.577067 + 0.816697i \(0.695803\pi\)
\(332\) 1.46079 0.0801713
\(333\) −4.92853 6.11353i −0.270082 0.335019i
\(334\) 1.80899 1.31431i 0.0989836 0.0719158i
\(335\) 6.60497 2.73401i 0.360868 0.149375i
\(336\) −21.2213 + 8.76297i −1.15772 + 0.478059i
\(337\) 17.2811 + 7.69405i 0.941363 + 0.419122i 0.819277 0.573398i \(-0.194375\pi\)
0.122086 + 0.992520i \(0.461042\pi\)
\(338\) 15.2971 + 6.81072i 0.832054 + 0.370454i
\(339\) −9.20665 + 3.80172i −0.500037 + 0.206481i
\(340\) −0.392509 0.459792i −0.0212868 0.0249357i
\(341\) 7.08615 5.14839i 0.383736 0.278801i
\(342\) −26.0403 + 4.06599i −1.40810 + 0.219864i
\(343\) −3.15631 −0.170425
\(344\) −16.0523 17.8279i −0.865482 0.961215i
\(345\) −5.68968 4.61999i −0.306322 0.248732i
\(346\) 17.5711 19.5147i 0.944627 1.04911i
\(347\) 7.90347 8.77770i 0.424281 0.471211i −0.492668 0.870218i \(-0.663978\pi\)
0.916948 + 0.399006i \(0.130645\pi\)
\(348\) 0.270431 2.03690i 0.0144966 0.109190i
\(349\) −4.49549 + 7.78642i −0.240638 + 0.416797i −0.960896 0.276909i \(-0.910690\pi\)
0.720258 + 0.693706i \(0.244023\pi\)
\(350\) −6.35203 23.7517i −0.339530 1.26958i
\(351\) 1.80661 + 3.81986i 0.0964297 + 0.203889i
\(352\) −4.18782 3.04263i −0.223211 0.162173i
\(353\) 26.8537 + 5.70792i 1.42928 + 0.303802i 0.856601 0.515980i \(-0.172572\pi\)
0.572676 + 0.819782i \(0.305905\pi\)
\(354\) −4.43777 + 4.66619i −0.235865 + 0.248005i
\(355\) −9.52247 17.5482i −0.505400 0.931364i
\(356\) 0.00108068 0.000229705i 5.72757e−5 1.21743e-5i
\(357\) 10.7150 + 0.292314i 0.567096 + 0.0154709i
\(358\) 16.1171 + 17.8998i 0.851814 + 0.946036i
\(359\) −23.8073 + 17.2970i −1.25650 + 0.912901i −0.998580 0.0532656i \(-0.983037\pi\)
−0.257920 + 0.966166i \(0.583037\pi\)
\(360\) 19.5840 + 1.58915i 1.03217 + 0.0837557i
\(361\) −18.5326 13.4647i −0.975399 0.708669i
\(362\) −0.467291 4.44597i −0.0245603 0.233675i
\(363\) −3.02584 38.9924i −0.158815 2.04657i
\(364\) −0.0487544 + 0.463867i −0.00255542 + 0.0243132i
\(365\) 17.3715 + 8.29092i 0.909268 + 0.433966i
\(366\) 0.208823 + 2.69099i 0.0109154 + 0.140660i
\(367\) 5.56358 + 6.17898i 0.290416 + 0.322540i 0.870643 0.491915i \(-0.163703\pi\)
−0.580227 + 0.814455i \(0.697036\pi\)
\(368\) −6.92301 −0.360887
\(369\) −4.27040 + 11.0524i −0.222308 + 0.575366i
\(370\) 2.65329 7.48695i 0.137938 0.389228i
\(371\) −34.1368 7.25600i −1.77229 0.376713i
\(372\) −0.117266 0.397480i −0.00607996 0.0206084i
\(373\) −0.387360 + 3.68548i −0.0200567 + 0.190827i −0.999963 0.00863278i \(-0.997252\pi\)
0.979906 + 0.199460i \(0.0639187\pi\)
\(374\) −6.71579 11.6321i −0.347265 0.601481i
\(375\) −4.06054 + 18.9344i −0.209685 + 0.977769i
\(376\) 16.2803 28.1984i 0.839595 1.45422i
\(377\) 4.93057 + 3.58227i 0.253937 + 0.184496i
\(378\) −18.5916 + 17.5271i −0.956249 + 0.901499i
\(379\) −1.43560 4.41832i −0.0737419 0.226954i 0.907391 0.420286i \(-0.138070\pi\)
−0.981133 + 0.193332i \(0.938070\pi\)
\(380\) 1.48771 + 1.74273i 0.0763179 + 0.0894002i
\(381\) −16.3212 + 3.00648i −0.836158 + 0.154027i
\(382\) −15.3123 26.5217i −0.783445 1.35697i
\(383\) 18.6644 3.96724i 0.953707 0.202717i 0.295322 0.955398i \(-0.404573\pi\)
0.658385 + 0.752681i \(0.271240\pi\)
\(384\) 13.9823 9.58723i 0.713529 0.489246i
\(385\) 3.67246 + 46.8065i 0.187166 + 2.38548i
\(386\) 15.7834 + 11.4673i 0.803356 + 0.583673i
\(387\) −21.8687 11.2030i −1.11165 0.569480i
\(388\) −0.00477899 + 0.00347214i −0.000242616 + 0.000176271i
\(389\) 3.47141 1.54557i 0.176007 0.0783635i −0.316841 0.948479i \(-0.602622\pi\)
0.492849 + 0.870115i \(0.335956\pi\)
\(390\) −2.33268 + 3.58154i −0.118120 + 0.181359i
\(391\) 2.95268 + 1.31462i 0.149324 + 0.0664831i
\(392\) −17.5593 + 3.73235i −0.886880 + 0.188512i
\(393\) −4.29295 + 6.98828i −0.216551 + 0.352512i
\(394\) −10.0554 11.1677i −0.506586 0.562621i
\(395\) −7.93422 0.209669i −0.399214 0.0105496i
\(396\) −2.65653 0.718049i −0.133495 0.0360833i
\(397\) −6.50617 20.0239i −0.326535 1.00497i −0.970743 0.240122i \(-0.922813\pi\)
0.644207 0.764851i \(-0.277187\pi\)
\(398\) −17.3155 + 7.70934i −0.867946 + 0.386434i
\(399\) −40.6125 1.10794i −2.03317 0.0554666i
\(400\) 8.29647 + 16.3021i 0.414824 + 0.815104i
\(401\) −11.2925 19.5592i −0.563922 0.976741i −0.997149 0.0754562i \(-0.975959\pi\)
0.433228 0.901285i \(-0.357375\pi\)
\(402\) 0.988985 7.44910i 0.0493261 0.371527i
\(403\) 1.20231 + 0.255559i 0.0598914 + 0.0127303i
\(404\) −0.493263 1.51811i −0.0245408 0.0755287i
\(405\) 19.3221 5.62656i 0.960121 0.279586i
\(406\) −11.3880 + 35.0486i −0.565175 + 1.73943i
\(407\) −7.58421 + 13.1362i −0.375935 + 0.651139i
\(408\) −8.52143 + 1.56971i −0.421874 + 0.0777123i
\(409\) −22.5846 10.0553i −1.11674 0.497203i −0.236449 0.971644i \(-0.575984\pi\)
−0.880287 + 0.474441i \(0.842650\pi\)
\(410\) −11.7850 + 2.18130i −0.582021 + 0.107727i
\(411\) 11.0767 + 8.51871i 0.546372 + 0.420197i
\(412\) −0.184399 1.75444i −0.00908471 0.0864352i
\(413\) −8.03070 + 5.83464i −0.395165 + 0.287104i
\(414\) −7.19873 + 2.74528i −0.353798 + 0.134923i
\(415\) 16.3680 + 12.5658i 0.803472 + 0.616832i
\(416\) −0.0759320 0.722444i −0.00372287 0.0354207i
\(417\) 12.7816 + 14.9986i 0.625919 + 0.734483i
\(418\) 25.4546 + 44.0886i 1.24502 + 2.15645i
\(419\) 38.1667 8.11259i 1.86457 0.396326i 0.869364 0.494172i \(-0.164529\pi\)
0.995202 + 0.0978459i \(0.0311952\pi\)
\(420\) 2.14493 + 0.577800i 0.104662 + 0.0281937i
\(421\) −22.2800 4.73576i −1.08586 0.230807i −0.369988 0.929037i \(-0.620638\pi\)
−0.715874 + 0.698230i \(0.753971\pi\)
\(422\) −11.2202 34.5323i −0.546191 1.68100i
\(423\) 5.28914 32.9278i 0.257167 1.60100i
\(424\) 28.2114 1.37007
\(425\) −0.442848 8.52830i −0.0214813 0.413683i
\(426\) −20.9799 0.572349i −1.01648 0.0277304i
\(427\) −0.434905 + 4.13784i −0.0210465 + 0.200244i
\(428\) −0.353622 + 0.392737i −0.0170930 + 0.0189837i
\(429\) 5.62487 5.91441i 0.271572 0.285550i
\(430\) −1.94410 24.7781i −0.0937528 1.19491i
\(431\) −9.46750 + 29.1380i −0.456033 + 1.40353i 0.413885 + 0.910329i \(0.364172\pi\)
−0.869918 + 0.493197i \(0.835828\pi\)
\(432\) 10.8184 15.6307i 0.520500 0.752032i
\(433\) −3.87801 + 11.9353i −0.186365 + 0.573573i −0.999969 0.00784636i \(-0.997502\pi\)
0.813604 + 0.581419i \(0.197502\pi\)
\(434\) 0.776912 + 7.39182i 0.0372930 + 0.354819i
\(435\) 20.5517 20.4970i 0.985381 0.982755i
\(436\) 0.150207 1.42912i 0.00719359 0.0684425i
\(437\) −11.1914 4.98275i −0.535359 0.238357i
\(438\) 16.6881 11.4425i 0.797386 0.546745i
\(439\) 8.61888 3.83737i 0.411357 0.183148i −0.190616 0.981665i \(-0.561048\pi\)
0.601972 + 0.798517i \(0.294382\pi\)
\(440\) −10.7705 36.3926i −0.513463 1.73495i
\(441\) −15.4423 + 9.98035i −0.735346 + 0.475255i
\(442\) 0.582465 1.79264i 0.0277050 0.0852673i
\(443\) 1.34165 2.32381i 0.0637439 0.110408i −0.832392 0.554187i \(-0.813029\pi\)
0.896136 + 0.443779i \(0.146363\pi\)
\(444\) 0.465493 + 0.546232i 0.0220913 + 0.0259230i
\(445\) 0.0140848 + 0.00672223i 0.000667682 + 0.000318664i
\(446\) −22.1906 + 24.6452i −1.05076 + 1.16698i
\(447\) 25.5055 + 6.15285i 1.20637 + 0.291020i
\(448\) 28.2320 12.5697i 1.33384 0.593862i
\(449\) 16.6360 0.785100 0.392550 0.919731i \(-0.371593\pi\)
0.392550 + 0.919731i \(0.371593\pi\)
\(450\) 15.0914 + 13.6614i 0.711414 + 0.644005i
\(451\) 22.8871 1.07771
\(452\) 0.831619 0.370261i 0.0391161 0.0174156i
\(453\) −1.60544 5.44175i −0.0754304 0.255676i
\(454\) 1.58569 1.76109i 0.0744201 0.0826518i
\(455\) −4.53650 + 4.77818i −0.212674 + 0.224004i
\(456\) 32.2984 5.94961i 1.51251 0.278616i
\(457\) −6.85895 + 11.8801i −0.320848 + 0.555725i −0.980663 0.195703i \(-0.937301\pi\)
0.659815 + 0.751428i \(0.270635\pi\)
\(458\) −8.20830 + 25.2626i −0.383549 + 1.18044i
\(459\) −7.58220 + 4.61221i −0.353907 + 0.215280i
\(460\) 0.531307 + 0.407889i 0.0247723 + 0.0190179i
\(461\) 4.82680 2.14903i 0.224806 0.100090i −0.291243 0.956649i \(-0.594069\pi\)
0.516049 + 0.856559i \(0.327402\pi\)
\(462\) 44.5232 + 21.2963i 2.07141 + 0.990794i
\(463\) −28.6434 12.7529i −1.33117 0.592677i −0.386986 0.922085i \(-0.626484\pi\)
−0.944187 + 0.329409i \(0.893151\pi\)
\(464\) 2.86589 27.2671i 0.133046 1.26585i
\(465\) 2.10520 5.46245i 0.0976264 0.253315i
\(466\) 0.773161 + 7.35614i 0.0358160 + 0.340767i
\(467\) 6.16817 18.9837i 0.285429 0.878459i −0.700841 0.713317i \(-0.747192\pi\)
0.986270 0.165142i \(-0.0528082\pi\)
\(468\) −0.174567 0.344469i −0.00806937 0.0159231i
\(469\) 3.57951 11.0166i 0.165286 0.508699i
\(470\) 31.1692 12.9020i 1.43773 0.595124i
\(471\) 10.9965 + 2.65276i 0.506692 + 0.122233i
\(472\) 5.36924 5.96315i 0.247139 0.274476i
\(473\) −4.96112 + 47.2019i −0.228113 + 2.17035i
\(474\) −4.36718 + 7.10912i −0.200591 + 0.326533i
\(475\) 1.67851 + 32.3245i 0.0770152 + 1.48315i
\(476\) −0.979617 −0.0449007
\(477\) 26.9986 10.2960i 1.23618 0.471424i
\(478\) −1.53517 4.72475i −0.0702168 0.216105i
\(479\) 6.25719 + 1.33001i 0.285898 + 0.0607696i 0.348629 0.937261i \(-0.386647\pi\)
−0.0627302 + 0.998031i \(0.519981\pi\)
\(480\) −3.45469 0.185674i −0.157684 0.00847483i
\(481\) −2.08211 + 0.442567i −0.0949363 + 0.0201793i
\(482\) 12.7040 + 22.0040i 0.578653 + 1.00226i
\(483\) −11.6799 + 2.15152i −0.531453 + 0.0978976i
\(484\) 0.373613 + 3.55469i 0.0169824 + 0.161577i
\(485\) −0.0834155 0.00220433i −0.00378770 0.000100093i
\(486\) 5.05101 20.5432i 0.229118 0.931857i
\(487\) 0.699919 0.508521i 0.0317164 0.0230433i −0.571814 0.820383i \(-0.693760\pi\)
0.603530 + 0.797340i \(0.293760\pi\)
\(488\) −0.351561 3.34488i −0.0159144 0.151416i
\(489\) −4.77032 + 35.9303i −0.215721 + 1.62483i
\(490\) −16.7848 8.01089i −0.758261 0.361895i
\(491\) −3.54920 1.58021i −0.160173 0.0713137i 0.325084 0.945685i \(-0.394607\pi\)
−0.485257 + 0.874371i \(0.661274\pi\)
\(492\) 0.362585 1.02036i 0.0163466 0.0460014i
\(493\) −6.40010 + 11.0853i −0.288246 + 0.499257i
\(494\) −2.20769 + 6.79458i −0.0993287 + 0.305702i
\(495\) −23.5893 30.8973i −1.06026 1.38873i
\(496\) −1.70876 5.25902i −0.0767256 0.236137i
\(497\) −31.6455 6.72646i −1.41950 0.301723i
\(498\) 20.0496 8.27913i 0.898444 0.370996i
\(499\) −3.51395 6.08634i −0.157306 0.272462i 0.776590 0.630006i \(-0.216948\pi\)
−0.933896 + 0.357544i \(0.883614\pi\)
\(500\) 0.323769 1.73991i 0.0144794 0.0778113i
\(501\) −1.49379 + 2.43166i −0.0667375 + 0.108639i
\(502\) 10.9756 4.88663i 0.489863 0.218101i
\(503\) −8.35675 25.7194i −0.372609 1.14677i −0.945078 0.326846i \(-0.894014\pi\)
0.572468 0.819927i \(-0.305986\pi\)
\(504\) 22.5626 22.4641i 1.00502 1.00063i
\(505\) 7.53192 21.2533i 0.335166 0.945759i
\(506\) 9.95796 + 11.0594i 0.442685 + 0.491652i
\(507\) −21.3633 0.582810i −0.948778 0.0258835i
\(508\) 1.48356 0.315341i 0.0658224 0.0139910i
\(509\) 2.73606 + 1.21817i 0.121274 + 0.0539945i 0.466477 0.884534i \(-0.345523\pi\)
−0.345203 + 0.938528i \(0.612190\pi\)
\(510\) −7.99315 4.08616i −0.353943 0.180938i
\(511\) 28.4944 12.6865i 1.26052 0.561219i
\(512\) −19.9816 + 14.5175i −0.883072 + 0.641589i
\(513\) 28.7385 17.4815i 1.26884 0.771826i
\(514\) −10.2628 7.45639i −0.452674 0.328887i
\(515\) 13.0257 21.2445i 0.573980 0.936146i
\(516\) 2.02578 + 0.968970i 0.0891800 + 0.0426565i
\(517\) −63.0111 + 13.3934i −2.77123 + 0.589042i
\(518\) −6.43569 11.1469i −0.282768 0.489768i
\(519\) −11.2221 + 31.5803i −0.492594 + 1.38622i
\(520\) 2.78394 4.54054i 0.122084 0.199116i
\(521\) −2.86656 8.82235i −0.125586 0.386514i 0.868421 0.495827i \(-0.165135\pi\)
−0.994007 + 0.109313i \(0.965135\pi\)
\(522\) −7.83257 29.4896i −0.342822 1.29072i
\(523\) 27.2717 + 19.8140i 1.19251 + 0.866406i 0.993527 0.113597i \(-0.0362374\pi\)
0.198979 + 0.980004i \(0.436237\pi\)
\(524\) 0.374775 0.649129i 0.0163721 0.0283573i
\(525\) 19.0634 + 24.9250i 0.831994 + 1.08782i
\(526\) 7.31466 + 12.6694i 0.318934 + 0.552410i
\(527\) −0.269851 + 2.56746i −0.0117549 + 0.111840i
\(528\) −35.6947 8.61085i −1.55341 0.374739i
\(529\) 18.9945 + 4.03741i 0.825849 + 0.175540i
\(530\) 23.1839 + 17.7984i 1.00704 + 0.773115i
\(531\) 2.96210 7.66634i 0.128544 0.332691i
\(532\) 3.71300 0.160979
\(533\) 2.14912 + 2.38684i 0.0930887 + 0.103386i
\(534\) 0.0135306 0.00927753i 0.000585526 0.000401478i
\(535\) −7.34064 + 1.35869i −0.317364 + 0.0587412i
\(536\) −0.978774 + 9.31241i −0.0422766 + 0.402235i
\(537\) −27.7324 13.2649i −1.19674 0.572424i
\(538\) 0.198240 + 1.88612i 0.00854671 + 0.0813166i
\(539\) 28.7330 + 20.8757i 1.23762 + 0.899181i
\(540\) −1.75119 + 0.562183i −0.0753590 + 0.0241925i
\(541\) −34.5832 + 25.1262i −1.48685 + 1.08026i −0.511580 + 0.859236i \(0.670940\pi\)
−0.975269 + 0.221023i \(0.929060\pi\)
\(542\) −0.206427 0.229261i −0.00886680 0.00984758i
\(543\) 2.71700 + 5.01717i 0.116598 + 0.215308i
\(544\) 1.49235 0.317210i 0.0639841 0.0136002i
\(545\) 13.9764 14.7210i 0.598685 0.630579i
\(546\) 1.95983 + 6.64297i 0.0838731 + 0.284293i
\(547\) −31.4809 6.69148i −1.34603 0.286107i −0.522140 0.852860i \(-0.674866\pi\)
−0.823888 + 0.566753i \(0.808199\pi\)
\(548\) −1.03317 0.750639i −0.0441346 0.0320657i
\(549\) −1.55720 3.07277i −0.0664595 0.131143i
\(550\) 14.1088 36.7022i 0.601603 1.56499i
\(551\) 24.2580 42.0161i 1.03343 1.78995i
\(552\) 8.87366 3.66422i 0.377688 0.155960i
\(553\) −8.60589 + 9.55781i −0.365960 + 0.406440i
\(554\) −9.02670 + 10.0252i −0.383508 + 0.425929i
\(555\) 0.517069 + 10.1247i 0.0219483 + 0.429768i
\(556\) −1.20507 1.33837i −0.0511066 0.0567596i
\(557\) 0.690059 0.0292387 0.0146194 0.999893i \(-0.495346\pi\)
0.0146194 + 0.999893i \(0.495346\pi\)
\(558\) −3.86224 4.79087i −0.163502 0.202814i
\(559\) −5.38844 + 3.91493i −0.227907 + 0.165584i
\(560\) 28.8198 + 6.92634i 1.21786 + 0.292691i
\(561\) 13.5887 + 10.4507i 0.573717 + 0.441227i
\(562\) 1.87137 + 0.833189i 0.0789391 + 0.0351460i
\(563\) 24.9057 + 11.0887i 1.04965 + 0.467335i 0.857743 0.514078i \(-0.171866\pi\)
0.191908 + 0.981413i \(0.438533\pi\)
\(564\) −0.401135 + 3.02137i −0.0168908 + 0.127223i
\(565\) 12.5032 + 3.00492i 0.526013 + 0.126418i
\(566\) −1.34003 + 0.973587i −0.0563255 + 0.0409229i
\(567\) 13.3941 29.7328i 0.562500 1.24866i
\(568\) 26.1526 1.09734
\(569\) −1.82199 2.02353i −0.0763818 0.0848306i 0.703742 0.710455i \(-0.251511\pi\)
−0.780124 + 0.625625i \(0.784844\pi\)
\(570\) 30.2961 + 15.4876i 1.26896 + 0.648704i
\(571\) −8.49408 + 9.43363i −0.355466 + 0.394785i −0.894183 0.447702i \(-0.852243\pi\)
0.538717 + 0.842487i \(0.318909\pi\)
\(572\) −0.499132 + 0.554342i −0.0208698 + 0.0231782i
\(573\) 30.9829 + 23.8279i 1.29433 + 0.995426i
\(574\) −9.71056 + 16.8192i −0.405311 + 0.702019i
\(575\) 2.44454 + 9.14069i 0.101944 + 0.381193i
\(576\) −13.9826 + 21.4285i −0.582607 + 0.892853i
\(577\) 16.0147 + 11.6353i 0.666699 + 0.484386i 0.868919 0.494955i \(-0.164815\pi\)
−0.202219 + 0.979340i \(0.564815\pi\)
\(578\) −18.6942 3.97357i −0.777575 0.165279i
\(579\) −24.2054 5.83922i −1.00594 0.242670i
\(580\) −1.82646 + 1.92377i −0.0758398 + 0.0798801i
\(581\) 32.7071 6.95210i 1.35692 0.288422i
\(582\) −0.0459138 + 0.0747409i −0.00190319 + 0.00309811i
\(583\) −37.3469 41.4780i −1.54675 1.71784i
\(584\) −20.3983 + 14.8202i −0.844086 + 0.613265i
\(585\) 1.00714 5.36137i 0.0416402 0.221665i
\(586\) 20.4840 + 14.8825i 0.846184 + 0.614789i
\(587\) 0.882137 + 8.39297i 0.0364097 + 0.346415i 0.997528 + 0.0702765i \(0.0223882\pi\)
−0.961118 + 0.276138i \(0.910945\pi\)
\(588\) 1.38589 0.950264i 0.0571531 0.0391882i
\(589\) 1.02281 9.73135i 0.0421440 0.400973i
\(590\) 8.17451 1.51303i 0.336539 0.0622904i
\(591\) 17.3022 + 8.27599i 0.711719 + 0.340429i
\(592\) 6.40763 + 7.11639i 0.263352 + 0.292482i
\(593\) 12.9618 0.532277 0.266139 0.963935i \(-0.414252\pi\)
0.266139 + 0.963935i \(0.414252\pi\)
\(594\) −40.5309 + 5.20070i −1.66300 + 0.213387i
\(595\) −10.9765 8.42673i −0.449992 0.345462i
\(596\) −2.34544 0.498539i −0.0960731 0.0204210i
\(597\) 16.6712 17.5293i 0.682307 0.717427i
\(598\) −0.218300 + 2.07699i −0.00892695 + 0.0849343i
\(599\) −1.18552 2.05337i −0.0484389 0.0838986i 0.840789 0.541362i \(-0.182091\pi\)
−0.889228 + 0.457464i \(0.848758\pi\)
\(600\) −19.2625 16.5042i −0.786388 0.673782i
\(601\) −10.9399 + 18.9484i −0.446247 + 0.772922i −0.998138 0.0609941i \(-0.980573\pi\)
0.551892 + 0.833916i \(0.313906\pi\)
\(602\) −32.5827 23.6727i −1.32797 0.964829i
\(603\) 2.46197 + 9.26927i 0.100259 + 0.377474i
\(604\) 0.160231 + 0.493142i 0.00651972 + 0.0200656i
\(605\) −26.3914 + 43.0437i −1.07296 + 1.74998i
\(606\) −15.3741 18.0407i −0.624530 0.732853i
\(607\) −3.49108 6.04672i −0.141698 0.245429i 0.786438 0.617669i \(-0.211923\pi\)
−0.928136 + 0.372240i \(0.878590\pi\)
\(608\) −5.65641 + 1.20231i −0.229398 + 0.0487600i
\(609\) −3.63896 46.8933i −0.147458 1.90021i
\(610\) 1.82136 2.97059i 0.0737447 0.120276i
\(611\) −7.31358 5.31363i −0.295876 0.214966i
\(612\) 0.681193 0.440256i 0.0275356 0.0177963i
\(613\) −8.10328 + 5.88738i −0.327289 + 0.237789i −0.739279 0.673399i \(-0.764834\pi\)
0.411991 + 0.911188i \(0.364834\pi\)
\(614\) −20.0487 + 8.92626i −0.809100 + 0.360235i
\(615\) 12.8399 8.31402i 0.517756 0.335254i
\(616\) −56.1830 25.0143i −2.26368 1.00785i
\(617\) 14.7266 3.13023i 0.592870 0.126018i 0.0983008 0.995157i \(-0.468659\pi\)
0.494569 + 0.869138i \(0.335326\pi\)
\(618\) −12.4743 23.0349i −0.501791 0.926601i
\(619\) −17.8559 19.8310i −0.717688 0.797073i 0.268398 0.963308i \(-0.413506\pi\)
−0.986086 + 0.166235i \(0.946839\pi\)
\(620\) −0.178711 + 0.504280i −0.00717721 + 0.0202524i
\(621\) 7.15487 6.74522i 0.287115 0.270676i
\(622\) 8.71674 + 26.8274i 0.349510 + 1.07568i
\(623\) 0.0231031 0.0102862i 0.000925606 0.000412107i
\(624\) −2.45376 4.53109i −0.0982292 0.181389i
\(625\) 18.5947 16.7104i 0.743786 0.668417i
\(626\) −8.45344 14.6418i −0.337867 0.585204i
\(627\) −51.5049 39.6107i −2.05691 1.58190i
\(628\) −1.01122 0.214942i −0.0403521 0.00857711i
\(629\) −1.38153 4.25191i −0.0550852 0.169535i
\(630\) 32.7142 4.22612i 1.30337 0.168373i
\(631\) −12.8840 + 39.6527i −0.512902 + 1.57855i 0.274165 + 0.961683i \(0.411599\pi\)
−0.787067 + 0.616868i \(0.788401\pi\)
\(632\) 5.19830 9.00373i 0.206777 0.358149i
\(633\) 30.0578 + 35.2712i 1.19469 + 1.40190i
\(634\) 28.6499 + 12.7558i 1.13783 + 0.506596i
\(635\) 19.3357 + 9.22835i 0.767314 + 0.366216i
\(636\) −2.44085 + 1.00791i −0.0967861 + 0.0399661i
\(637\) 0.520975 + 4.95675i 0.0206418 + 0.196394i
\(638\) −47.6812 + 34.6424i −1.88772 + 1.37151i
\(639\) 25.0282 9.54465i 0.990101 0.377580i
\(640\) −21.8791 0.578176i −0.864849 0.0228544i
\(641\) 1.83139 + 17.4245i 0.0723356 + 0.688227i 0.969259 + 0.246042i \(0.0791300\pi\)
−0.896924 + 0.442185i \(0.854203\pi\)
\(642\) −2.62766 + 7.39456i −0.103706 + 0.291840i
\(643\) 21.8712 + 37.8820i 0.862514 + 1.49392i 0.869494 + 0.493943i \(0.164445\pi\)
−0.00698031 + 0.999976i \(0.502222\pi\)
\(644\) 1.06168 0.225667i 0.0418360 0.00889251i
\(645\) 14.3635 + 28.2831i 0.565561 + 1.11365i
\(646\) −14.6770 3.11970i −0.577460 0.122743i
\(647\) 1.45484 + 4.47752i 0.0571955 + 0.176030i 0.975573 0.219676i \(-0.0705000\pi\)
−0.918377 + 0.395706i \(0.870500\pi\)
\(648\) −5.59358 + 25.7608i −0.219737 + 1.01198i
\(649\) −15.8753 −0.623159
\(650\) 5.15242 1.97500i 0.202095 0.0774657i
\(651\) −4.51725 8.34149i −0.177045 0.326929i
\(652\) 0.346254 3.29438i 0.0135603 0.129018i
\(653\) −7.88400 + 8.75607i −0.308525 + 0.342651i −0.877389 0.479780i \(-0.840716\pi\)
0.568864 + 0.822432i \(0.307383\pi\)
\(654\) −6.03802 20.4662i −0.236105 0.800293i
\(655\) 9.78315 4.04957i 0.382259 0.158230i
\(656\) 4.46497 13.7418i 0.174328 0.536525i
\(657\) −14.1125 + 21.6276i −0.550582 + 0.843774i
\(658\) 16.8919 51.9880i 0.658516 2.02670i
\(659\) 4.56492 + 43.4323i 0.177824 + 1.69188i 0.611844 + 0.790978i \(0.290428\pi\)
−0.434020 + 0.900903i \(0.642905\pi\)
\(660\) 2.23206 + 2.76389i 0.0868828 + 0.107584i
\(661\) 3.09245 29.4227i 0.120282 1.14441i −0.753281 0.657699i \(-0.771530\pi\)
0.873563 0.486711i \(-0.161803\pi\)
\(662\) −9.96012 4.43453i −0.387111 0.172353i
\(663\) 0.186123 + 2.39847i 0.00722842 + 0.0931488i
\(664\) −24.6930 + 10.9940i −0.958275 + 0.426651i
\(665\) 41.6037 + 31.9395i 1.61332 + 1.23856i
\(666\) 9.48478 + 4.85891i 0.367528 + 0.188279i
\(667\) 4.38259 13.4882i 0.169695 0.522267i
\(668\) 0.130408 0.225873i 0.00504563 0.00873928i
\(669\) 14.1724 39.8830i 0.547938 1.54196i
\(670\) −6.67950 + 7.03535i −0.258052 + 0.271799i
\(671\) −4.45242 + 4.94491i −0.171884 + 0.190896i
\(672\) −3.86347 + 4.06234i −0.149037 + 0.156708i
\(673\) −9.48138 + 4.22138i −0.365480 + 0.162722i −0.581256 0.813721i \(-0.697439\pi\)
0.215776 + 0.976443i \(0.430772\pi\)
\(674\) −25.6715 −0.988831
\(675\) −24.4577 8.76463i −0.941379 0.337351i
\(676\) 1.95314 0.0751209
\(677\) 12.2593 5.45819i 0.471163 0.209775i −0.157399 0.987535i \(-0.550311\pi\)
0.628561 + 0.777760i \(0.283644\pi\)
\(678\) 9.31564 9.79514i 0.357765 0.376180i
\(679\) −0.0904771 + 0.100485i −0.00347219 + 0.00385626i
\(680\) 10.0954 + 4.81821i 0.387139 + 0.184770i
\(681\) −1.01273 + 2.84994i −0.0388078 + 0.109210i
\(682\) −5.94337 + 10.2942i −0.227583 + 0.394186i
\(683\) −6.23742 + 19.1968i −0.238668 + 0.734546i 0.757945 + 0.652318i \(0.226203\pi\)
−0.996614 + 0.0822274i \(0.973797\pi\)
\(684\) −2.58190 + 1.66868i −0.0987214 + 0.0638037i
\(685\) −5.11944 17.2982i −0.195604 0.660929i
\(686\) 3.91310 1.74222i 0.149403 0.0665184i
\(687\) −2.62291 33.8001i −0.100070 1.28955i
\(688\) 27.3729 + 12.1872i 1.04358 + 0.464633i
\(689\) 0.818726 7.78965i 0.0311910 0.296762i
\(690\) 9.60402 + 2.58713i 0.365619 + 0.0984902i
\(691\) 5.21851 + 49.6508i 0.198522 + 1.88881i 0.410992 + 0.911639i \(0.365182\pi\)
−0.212471 + 0.977167i \(0.568151\pi\)
\(692\) 0.946509 2.91305i 0.0359809 0.110738i
\(693\) −62.8969 3.43432i −2.38925 0.130459i
\(694\) −4.95336 + 15.2449i −0.188027 + 0.578687i
\(695\) −1.98995 25.3624i −0.0754830 0.962051i
\(696\) 10.7586 + 36.4669i 0.407803 + 1.38227i
\(697\) −4.51376 + 5.01304i −0.170971 + 0.189882i
\(698\) 1.27542 12.1348i 0.0482752 0.459308i
\(699\) −4.49544 8.30123i −0.170033 0.313981i
\(700\) −1.80370 2.22957i −0.0681733 0.0842697i
\(701\) −14.3384 −0.541556 −0.270778 0.962642i \(-0.587281\pi\)
−0.270778 + 0.962642i \(0.587281\pi\)
\(702\) −4.34826 3.73852i −0.164115 0.141101i
\(703\) 5.23635 + 16.1158i 0.197493 + 0.607820i
\(704\) 48.3439 + 10.2758i 1.82203 + 0.387284i
\(705\) −30.4847 + 30.4035i −1.14812 + 1.14506i
\(706\) −36.4430 + 7.74619i −1.37155 + 0.291532i
\(707\) −18.2690 31.6429i −0.687078 1.19005i
\(708\) −0.251502 + 0.707758i −0.00945203 + 0.0265992i
\(709\) −0.419476 3.99104i −0.0157537 0.149887i 0.983817 0.179175i \(-0.0573427\pi\)
−0.999571 + 0.0292879i \(0.990676\pi\)
\(710\) 21.4919 + 16.4995i 0.806578 + 0.619216i
\(711\) 1.68882 10.5138i 0.0633357 0.394299i
\(712\) −0.0165388 + 0.0120162i −0.000619818 + 0.000450324i
\(713\) −0.298990 2.84470i −0.0111973 0.106535i
\(714\) −13.4454 + 5.55204i −0.503182 + 0.207780i
\(715\) −10.3612 + 1.91777i −0.387487 + 0.0717204i
\(716\) 2.56661 + 1.14273i 0.0959188 + 0.0427058i
\(717\) 4.11255 + 4.82586i 0.153586 + 0.180225i
\(718\) 19.9679 34.5854i 0.745195 1.29072i
\(719\) −8.19802 + 25.2309i −0.305734 + 0.940954i 0.673668 + 0.739034i \(0.264718\pi\)
−0.979402 + 0.201919i \(0.935282\pi\)
\(720\) −23.1532 + 8.13575i −0.862868 + 0.303202i
\(721\) −12.4783 38.4044i −0.464717 1.43025i
\(722\) 30.4083 + 6.46349i 1.13168 + 0.240546i
\(723\) −25.7054 19.7691i −0.955993 0.735223i
\(724\) −0.260722 0.451583i −0.00968965 0.0167830i
\(725\) −37.0137 + 5.84420i −1.37465 + 0.217048i
\(726\) 25.2744 + 46.6713i 0.938019 + 1.73213i
\(727\) −38.3332 + 17.0671i −1.42170 + 0.632982i −0.966327 0.257318i \(-0.917161\pi\)
−0.455374 + 0.890300i \(0.650495\pi\)
\(728\) −2.66696 8.20807i −0.0988443 0.304211i
\(729\) 4.04856 + 26.6947i 0.149947 + 0.988694i
\(730\) −26.1131 0.690062i −0.966489 0.0255403i
\(731\) −9.36038 10.3958i −0.346206 0.384501i
\(732\) 0.149919 + 0.276839i 0.00554117 + 0.0102323i
\(733\) 5.15459 1.09564i 0.190389 0.0404685i −0.111730 0.993739i \(-0.535639\pi\)
0.302119 + 0.953270i \(0.402306\pi\)
\(734\) −10.3082 4.58951i −0.380483 0.169402i
\(735\) 23.7029 + 1.27393i 0.874296 + 0.0469895i
\(736\) −1.54429 + 0.687564i −0.0569234 + 0.0253439i
\(737\) 14.9873 10.8889i 0.552066 0.401099i
\(738\) −0.806411 16.0596i −0.0296844 0.591162i
\(739\) −40.7402 29.5995i −1.49865 1.08884i −0.970914 0.239429i \(-0.923040\pi\)
−0.527739 0.849406i \(-0.676960\pi\)
\(740\) −0.0724717 0.923672i −0.00266411 0.0339548i
\(741\) −0.705455 9.09081i −0.0259155 0.333959i
\(742\) 46.3269 9.84708i 1.70071 0.361498i
\(743\) 4.77119 + 8.26395i 0.175038 + 0.303175i 0.940174 0.340693i \(-0.110662\pi\)
−0.765136 + 0.643868i \(0.777328\pi\)
\(744\) 4.97372 + 5.83640i 0.182345 + 0.213973i
\(745\) −21.9919 25.7617i −0.805722 0.943837i
\(746\) −1.55408 4.78296i −0.0568988 0.175116i
\(747\) −19.6190 + 19.5334i −0.717823 + 0.714688i
\(748\) −1.26748 0.920875i −0.0463435 0.0336705i
\(749\) −6.04850 + 10.4763i −0.221008 + 0.382796i
\(750\) −5.41730 25.7156i −0.197812 0.939001i
\(751\) −2.21298 3.83300i −0.0807530 0.139868i 0.822821 0.568301i \(-0.192399\pi\)
−0.903574 + 0.428433i \(0.859066\pi\)
\(752\) −4.25102 + 40.4458i −0.155019 + 1.47490i
\(753\) −10.5672 + 11.1111i −0.385090 + 0.404911i
\(754\) −8.09010 1.71960i −0.294624 0.0626243i
\(755\) −2.44667 + 6.90391i −0.0890433 + 0.251259i
\(756\) −1.14955 + 2.74969i −0.0418086 + 0.100005i
\(757\) 17.6362 0.640999 0.320499 0.947249i \(-0.396149\pi\)
0.320499 + 0.947249i \(0.396149\pi\)
\(758\) 4.21864 + 4.68527i 0.153228 + 0.170177i
\(759\) −17.1345 8.19576i −0.621943 0.297487i
\(760\) −38.2640 18.2623i −1.38798 0.662442i
\(761\) −4.73869 + 45.0856i −0.171777 + 1.63435i 0.480942 + 0.876753i \(0.340295\pi\)
−0.652719 + 0.757600i \(0.726372\pi\)
\(762\) 18.5749 12.7363i 0.672898 0.461387i
\(763\) −3.43826 32.7128i −0.124473 1.18428i
\(764\) −2.88990 2.09963i −0.104553 0.0759621i
\(765\) 11.4198 + 0.926664i 0.412884 + 0.0335036i
\(766\) −20.9497 + 15.2208i −0.756943 + 0.549951i
\(767\) −1.49071 1.65560i −0.0538263 0.0597801i
\(768\) 3.42212 5.57070i 0.123485 0.201015i
\(769\) 16.9322 3.59905i 0.610591 0.129785i 0.107770 0.994176i \(-0.465629\pi\)
0.502821 + 0.864391i \(0.332296\pi\)
\(770\) −30.3893 56.0021i −1.09515 2.01818i