Properties

Label 483.2.bf.a.178.23
Level $483$
Weight $2$
Character 483.178
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 178.23
Character \(\chi\) \(=\) 483.178
Dual form 483.2.bf.a.19.23

$q$-expansion

\(f(q)\) \(=\) \(q+(1.11888 - 0.106840i) q^{2} +(0.690079 + 0.723734i) q^{3} +(-0.723384 + 0.139421i) q^{4} +(-0.742288 - 0.382676i) q^{5} +(0.849438 + 0.736042i) q^{6} +(1.48873 + 2.18716i) q^{7} +(-2.95136 + 0.866598i) q^{8} +(-0.0475819 + 0.998867i) q^{9} +O(q^{10})\) \(q+(1.11888 - 0.106840i) q^{2} +(0.690079 + 0.723734i) q^{3} +(-0.723384 + 0.139421i) q^{4} +(-0.742288 - 0.382676i) q^{5} +(0.849438 + 0.736042i) q^{6} +(1.48873 + 2.18716i) q^{7} +(-2.95136 + 0.866598i) q^{8} +(-0.0475819 + 0.998867i) q^{9} +(-0.871415 - 0.348862i) q^{10} +(-0.449946 + 4.71204i) q^{11} +(-0.600096 - 0.427326i) q^{12} +(2.59781 - 0.373509i) q^{13} +(1.89938 + 2.28811i) q^{14} +(-0.235282 - 0.801296i) q^{15} +(-1.84177 + 0.737335i) q^{16} +(1.73328 + 5.00799i) q^{17} +(0.0534805 + 1.12269i) q^{18} +(0.477861 - 1.38069i) q^{19} +(0.590312 + 0.173331i) q^{20} +(-0.555585 + 2.58676i) q^{21} +5.32028i q^{22} +(3.76869 - 2.96598i) q^{23} +(-2.66386 - 1.53798i) q^{24} +(-2.49573 - 3.50477i) q^{25} +(2.86673 - 0.695460i) q^{26} +(-0.755750 + 0.654861i) q^{27} +(-1.38186 - 1.37460i) q^{28} +(-0.680193 + 0.784985i) q^{29} +(-0.348862 - 0.871415i) q^{30} +(-0.978400 - 0.237357i) q^{31} +(3.48610 - 1.79721i) q^{32} +(-3.72077 + 2.92604i) q^{33} +(2.47439 + 5.41815i) q^{34} +(-0.268090 - 2.19321i) q^{35} +(-0.104843 - 0.729199i) q^{36} +(-0.294563 - 0.0140318i) q^{37} +(0.387156 - 1.59588i) q^{38} +(2.06301 + 1.62237i) q^{39} +(2.52239 + 0.486150i) q^{40} +(-0.542058 - 0.843459i) q^{41} +(-0.345263 + 2.95363i) q^{42} +(1.86774 - 6.36095i) q^{43} +(-0.331474 - 3.47135i) q^{44} +(0.417562 - 0.723239i) q^{45} +(3.89981 - 3.72121i) q^{46} +(-2.80940 + 1.62201i) q^{47} +(-1.80460 - 0.824135i) q^{48} +(-2.56738 + 6.51219i) q^{49} +(-3.16687 - 3.65476i) q^{50} +(-2.42835 + 4.71035i) q^{51} +(-1.82714 + 0.632379i) q^{52} +(0.804321 - 1.02278i) q^{53} +(-0.775626 + 0.813454i) q^{54} +(2.13718 - 3.32551i) q^{55} +(-6.28917 - 5.16498i) q^{56} +(1.32901 - 0.606941i) q^{57} +(-0.677186 + 0.950974i) q^{58} +(-2.39754 + 5.98876i) q^{59} +(0.281916 + 0.546842i) q^{60} +(-4.70283 - 4.48414i) q^{61} +(-1.12007 - 0.161042i) q^{62} +(-2.25552 + 1.38297i) q^{63} +(7.04640 - 4.52845i) q^{64} +(-2.07126 - 0.716869i) q^{65} +(-3.85046 + 3.67141i) q^{66} +(12.3426 - 8.78913i) q^{67} +(-1.95205 - 3.38105i) q^{68} +(4.74727 + 0.680768i) q^{69} +(-0.534282 - 2.42529i) q^{70} +(4.39521 - 9.62417i) q^{71} +(-0.725185 - 2.98925i) q^{72} +(0.0232586 + 0.120677i) q^{73} +(-0.331079 + 0.0157712i) q^{74} +(0.814266 - 4.22481i) q^{75} +(-0.153180 + 1.06539i) q^{76} +(-10.9759 + 6.03085i) q^{77} +(2.48160 + 1.59482i) q^{78} +(-3.01246 - 3.83065i) q^{79} +(1.64929 + 0.157488i) q^{80} +(-0.995472 - 0.0950560i) q^{81} +(-0.696612 - 0.885815i) q^{82} +(8.65031 + 5.55922i) q^{83} +(0.0412532 - 1.94868i) q^{84} +(0.629844 - 4.38066i) q^{85} +(1.41017 - 7.31667i) q^{86} +(-1.03751 + 0.0494226i) q^{87} +(-2.75549 - 14.2969i) q^{88} +(-0.141990 - 0.585289i) q^{89} +(0.389930 - 0.853828i) q^{90} +(4.68436 + 5.12578i) q^{91} +(-2.31269 + 2.67097i) q^{92} +(-0.503390 - 0.871897i) q^{93} +(-2.97008 + 2.11498i) q^{94} +(-0.883068 + 0.842004i) q^{95} +(3.70638 + 1.28279i) q^{96} +(-5.91389 + 3.80063i) q^{97} +(-2.17682 + 7.56064i) q^{98} +(-4.68530 - 0.673644i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{7}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.11888 0.106840i 0.791166 0.0755472i 0.308355 0.951271i \(-0.400222\pi\)
0.482812 + 0.875724i \(0.339616\pi\)
\(3\) 0.690079 + 0.723734i 0.398417 + 0.417848i
\(4\) −0.723384 + 0.139421i −0.361692 + 0.0697104i
\(5\) −0.742288 0.382676i −0.331961 0.171138i 0.284185 0.958769i \(-0.408277\pi\)
−0.616147 + 0.787631i \(0.711307\pi\)
\(6\) 0.849438 + 0.736042i 0.346782 + 0.300488i
\(7\) 1.48873 + 2.18716i 0.562686 + 0.826670i
\(8\) −2.95136 + 0.866598i −1.04346 + 0.306389i
\(9\) −0.0475819 + 0.998867i −0.0158606 + 0.332956i
\(10\) −0.871415 0.348862i −0.275566 0.110320i
\(11\) −0.449946 + 4.71204i −0.135664 + 1.42073i 0.629551 + 0.776959i \(0.283239\pi\)
−0.765214 + 0.643776i \(0.777367\pi\)
\(12\) −0.600096 0.427326i −0.173233 0.123358i
\(13\) 2.59781 0.373509i 0.720503 0.103593i 0.227697 0.973732i \(-0.426880\pi\)
0.492806 + 0.870139i \(0.335971\pi\)
\(14\) 1.89938 + 2.28811i 0.507631 + 0.611524i
\(15\) −0.235282 0.801296i −0.0607495 0.206894i
\(16\) −1.84177 + 0.737335i −0.460443 + 0.184334i
\(17\) 1.73328 + 5.00799i 0.420383 + 1.21462i 0.934210 + 0.356723i \(0.116106\pi\)
−0.513827 + 0.857894i \(0.671773\pi\)
\(18\) 0.0534805 + 1.12269i 0.0126055 + 0.264622i
\(19\) 0.477861 1.38069i 0.109629 0.316752i −0.876820 0.480818i \(-0.840340\pi\)
0.986449 + 0.164066i \(0.0524610\pi\)
\(20\) 0.590312 + 0.173331i 0.131998 + 0.0387581i
\(21\) −0.555585 + 2.58676i −0.121239 + 0.564477i
\(22\) 5.32028i 1.13429i
\(23\) 3.76869 2.96598i 0.785825 0.618449i
\(24\) −2.66386 1.53798i −0.543758 0.313939i
\(25\) −2.49573 3.50477i −0.499147 0.700954i
\(26\) 2.86673 0.695460i 0.562211 0.136391i
\(27\) −0.755750 + 0.654861i −0.145444 + 0.126028i
\(28\) −1.38186 1.37460i −0.261147 0.259775i
\(29\) −0.680193 + 0.784985i −0.126309 + 0.145768i −0.815381 0.578924i \(-0.803473\pi\)
0.689073 + 0.724692i \(0.258018\pi\)
\(30\) −0.348862 0.871415i −0.0636932 0.159098i
\(31\) −0.978400 0.237357i −0.175726 0.0426306i 0.146930 0.989147i \(-0.453061\pi\)
−0.322656 + 0.946516i \(0.604576\pi\)
\(32\) 3.48610 1.79721i 0.616261 0.317705i
\(33\) −3.72077 + 2.92604i −0.647702 + 0.509359i
\(34\) 2.47439 + 5.41815i 0.424354 + 0.929205i
\(35\) −0.268090 2.19321i −0.0453154 0.370720i
\(36\) −0.104843 0.729199i −0.0174738 0.121533i
\(37\) −0.294563 0.0140318i −0.0484258 0.00230681i 0.0233550 0.999727i \(-0.492565\pi\)
−0.0717809 + 0.997420i \(0.522868\pi\)
\(38\) 0.387156 1.59588i 0.0628050 0.258886i
\(39\) 2.06301 + 1.62237i 0.330347 + 0.259788i
\(40\) 2.52239 + 0.486150i 0.398824 + 0.0768671i
\(41\) −0.542058 0.843459i −0.0846553 0.131726i 0.796344 0.604844i \(-0.206765\pi\)
−0.880999 + 0.473118i \(0.843128\pi\)
\(42\) −0.345263 + 2.95363i −0.0532752 + 0.455755i
\(43\) 1.86774 6.36095i 0.284828 0.970035i −0.685465 0.728105i \(-0.740401\pi\)
0.970294 0.241930i \(-0.0777806\pi\)
\(44\) −0.331474 3.47135i −0.0499715 0.523326i
\(45\) 0.417562 0.723239i 0.0622465 0.107814i
\(46\) 3.89981 3.72121i 0.574996 0.548663i
\(47\) −2.80940 + 1.62201i −0.409792 + 0.236594i −0.690701 0.723141i \(-0.742698\pi\)
0.280908 + 0.959735i \(0.409364\pi\)
\(48\) −1.80460 0.824135i −0.260472 0.118954i
\(49\) −2.56738 + 6.51219i −0.366768 + 0.930312i
\(50\) −3.16687 3.65476i −0.447863 0.516862i
\(51\) −2.42835 + 4.71035i −0.340037 + 0.659580i
\(52\) −1.82714 + 0.632379i −0.253379 + 0.0876952i
\(53\) 0.804321 1.02278i 0.110482 0.140489i −0.727667 0.685930i \(-0.759395\pi\)
0.838149 + 0.545441i \(0.183638\pi\)
\(54\) −0.775626 + 0.813454i −0.105549 + 0.110697i
\(55\) 2.13718 3.32551i 0.288177 0.448412i
\(56\) −6.28917 5.16498i −0.840425 0.690200i
\(57\) 1.32901 0.606941i 0.176032 0.0803912i
\(58\) −0.677186 + 0.950974i −0.0889188 + 0.124869i
\(59\) −2.39754 + 5.98876i −0.312133 + 0.779671i 0.686486 + 0.727143i \(0.259152\pi\)
−0.998619 + 0.0525280i \(0.983272\pi\)
\(60\) 0.281916 + 0.546842i 0.0363953 + 0.0705969i
\(61\) −4.70283 4.48414i −0.602135 0.574135i 0.326468 0.945208i \(-0.394141\pi\)
−0.928604 + 0.371073i \(0.878990\pi\)
\(62\) −1.12007 0.161042i −0.142249 0.0204523i
\(63\) −2.25552 + 1.38297i −0.284169 + 0.174238i
\(64\) 7.04640 4.52845i 0.880800 0.566056i
\(65\) −2.07126 0.716869i −0.256908 0.0889166i
\(66\) −3.85046 + 3.67141i −0.473959 + 0.451919i
\(67\) 12.3426 8.78913i 1.50789 1.07376i 0.534344 0.845267i \(-0.320559\pi\)
0.973545 0.228496i \(-0.0733807\pi\)
\(68\) −1.95205 3.38105i −0.236721 0.410012i
\(69\) 4.74727 + 0.680768i 0.571504 + 0.0819548i
\(70\) −0.534282 2.42529i −0.0638589 0.289877i
\(71\) 4.39521 9.62417i 0.521616 1.14218i −0.447209 0.894430i \(-0.647582\pi\)
0.968824 0.247749i \(-0.0796909\pi\)
\(72\) −0.725185 2.98925i −0.0854638 0.352287i
\(73\) 0.0232586 + 0.120677i 0.00272221 + 0.0141242i 0.983264 0.182184i \(-0.0583167\pi\)
−0.980542 + 0.196308i \(0.937105\pi\)
\(74\) −0.331079 + 0.0157712i −0.0384872 + 0.00183337i
\(75\) 0.814266 4.22481i 0.0940234 0.487840i
\(76\) −0.153180 + 1.06539i −0.0175710 + 0.122209i
\(77\) −10.9759 + 6.03085i −1.25082 + 0.687279i
\(78\) 2.48160 + 1.59482i 0.280985 + 0.180578i
\(79\) −3.01246 3.83065i −0.338928 0.430982i 0.586474 0.809968i \(-0.300515\pi\)
−0.925403 + 0.378985i \(0.876273\pi\)
\(80\) 1.64929 + 0.157488i 0.184396 + 0.0176077i
\(81\) −0.995472 0.0950560i −0.110608 0.0105618i
\(82\) −0.696612 0.885815i −0.0769280 0.0978219i
\(83\) 8.65031 + 5.55922i 0.949495 + 0.610204i 0.921072 0.389392i \(-0.127315\pi\)
0.0284234 + 0.999596i \(0.490951\pi\)
\(84\) 0.0412532 1.94868i 0.00450109 0.212619i
\(85\) 0.629844 4.38066i 0.0683161 0.475149i
\(86\) 1.41017 7.31667i 0.152063 0.788977i
\(87\) −1.03751 + 0.0494226i −0.111232 + 0.00529866i
\(88\) −2.75549 14.2969i −0.293737 1.52405i
\(89\) −0.141990 0.585289i −0.0150509 0.0620405i 0.963791 0.266659i \(-0.0859198\pi\)
−0.978842 + 0.204619i \(0.934405\pi\)
\(90\) 0.389930 0.853828i 0.0411023 0.0900014i
\(91\) 4.68436 + 5.12578i 0.491054 + 0.537328i
\(92\) −2.31269 + 2.67097i −0.241114 + 0.278468i
\(93\) −0.503390 0.871897i −0.0521991 0.0904115i
\(94\) −2.97008 + 2.11498i −0.306340 + 0.218144i
\(95\) −0.883068 + 0.842004i −0.0906009 + 0.0863878i
\(96\) 3.70638 + 1.28279i 0.378281 + 0.130924i
\(97\) −5.91389 + 3.80063i −0.600464 + 0.385895i −0.805271 0.592908i \(-0.797980\pi\)
0.204806 + 0.978803i \(0.434344\pi\)
\(98\) −2.17682 + 7.56064i −0.219892 + 0.763740i
\(99\) −4.68530 0.673644i −0.470890 0.0677038i
\(100\) 2.29401 + 2.18734i 0.229401 + 0.218734i
\(101\) 5.79931 + 11.2491i 0.577053 + 1.11933i 0.979038 + 0.203680i \(0.0652901\pi\)
−0.401985 + 0.915646i \(0.631680\pi\)
\(102\) −2.21378 + 5.52975i −0.219197 + 0.547527i
\(103\) 11.5639 16.2393i 1.13943 1.60010i 0.416581 0.909099i \(-0.363228\pi\)
0.722849 0.691006i \(-0.242832\pi\)
\(104\) −7.34339 + 3.35361i −0.720079 + 0.328849i
\(105\) 1.40230 1.70751i 0.136850 0.166636i
\(106\) 0.790664 1.23030i 0.0767961 0.119497i
\(107\) −3.54878 + 3.72185i −0.343073 + 0.359805i −0.872554 0.488517i \(-0.837538\pi\)
0.529481 + 0.848322i \(0.322387\pi\)
\(108\) 0.455396 0.579083i 0.0438205 0.0557223i
\(109\) 12.7373 4.40842i 1.22001 0.422250i 0.360206 0.932873i \(-0.382707\pi\)
0.859805 + 0.510623i \(0.170585\pi\)
\(110\) 2.03594 3.94918i 0.194119 0.376539i
\(111\) −0.193116 0.222868i −0.0183298 0.0211537i
\(112\) −4.35457 2.93057i −0.411468 0.276913i
\(113\) 15.1069 + 6.89907i 1.42113 + 0.649010i 0.969924 0.243408i \(-0.0782653\pi\)
0.451210 + 0.892418i \(0.350993\pi\)
\(114\) 1.42216 0.821084i 0.133197 0.0769016i
\(115\) −3.93246 + 0.759423i −0.366704 + 0.0708165i
\(116\) 0.382598 0.662679i 0.0355233 0.0615282i
\(117\) 0.249477 + 2.61264i 0.0230641 + 0.241539i
\(118\) −2.04272 + 6.95685i −0.188047 + 0.640430i
\(119\) −8.37291 + 11.2465i −0.767544 + 1.03097i
\(120\) 1.38880 + 2.16102i 0.126780 + 0.197273i
\(121\) −11.1997 2.15857i −1.01815 0.196233i
\(122\) −5.74098 4.51475i −0.519764 0.408747i
\(123\) 0.236377 0.974360i 0.0213134 0.0878550i
\(124\) 0.740852 + 0.0352911i 0.0665304 + 0.00316924i
\(125\) 1.10562 + 7.68973i 0.0988893 + 0.687790i
\(126\) −2.37590 + 1.78836i −0.211662 + 0.159320i
\(127\) 2.42976 + 5.32043i 0.215606 + 0.472112i 0.986272 0.165128i \(-0.0528036\pi\)
−0.770666 + 0.637239i \(0.780076\pi\)
\(128\) 1.23429 0.970660i 0.109097 0.0857950i
\(129\) 5.89252 3.03781i 0.518808 0.267464i
\(130\) −2.39407 0.580796i −0.209974 0.0509392i
\(131\) 0.242241 + 0.605090i 0.0211647 + 0.0528669i 0.938574 0.345078i \(-0.112148\pi\)
−0.917409 + 0.397945i \(0.869723\pi\)
\(132\) 2.28359 2.63540i 0.198761 0.229383i
\(133\) 3.73120 1.01031i 0.323536 0.0876051i
\(134\) 12.8708 11.1526i 1.11187 0.963442i
\(135\) 0.811584 0.196888i 0.0698500 0.0169454i
\(136\) −9.45546 13.2783i −0.810799 1.13861i
\(137\) −15.9407 9.20335i −1.36190 0.786296i −0.372027 0.928222i \(-0.621337\pi\)
−0.989877 + 0.141926i \(0.954670\pi\)
\(138\) 5.38435 + 0.254499i 0.458346 + 0.0216644i
\(139\) 8.30392i 0.704330i 0.935938 + 0.352165i \(0.114554\pi\)
−0.935938 + 0.352165i \(0.885446\pi\)
\(140\) 0.499711 + 1.54915i 0.0422333 + 0.130927i
\(141\) −3.11261 0.913943i −0.262129 0.0769679i
\(142\) 3.88946 11.2379i 0.326396 0.943060i
\(143\) 0.591116 + 12.4091i 0.0494316 + 1.03770i
\(144\) −0.648865 1.87477i −0.0540721 0.156231i
\(145\) 0.805294 0.322391i 0.0668761 0.0267731i
\(146\) 0.0389167 + 0.132538i 0.00322077 + 0.0109689i
\(147\) −6.48478 + 2.63583i −0.534856 + 0.217399i
\(148\) 0.215038 0.0309179i 0.0176760 0.00254143i
\(149\) −18.8304 13.4091i −1.54265 1.09851i −0.957826 0.287350i \(-0.907226\pi\)
−0.584820 0.811163i \(-0.698835\pi\)
\(150\) 0.459686 4.81405i 0.0375332 0.393065i
\(151\) −0.179751 0.0719616i −0.0146280 0.00585615i 0.364337 0.931267i \(-0.381296\pi\)
−0.378965 + 0.925411i \(0.623720\pi\)
\(152\) −0.213839 + 4.48903i −0.0173446 + 0.364108i
\(153\) −5.08479 + 1.49303i −0.411081 + 0.120704i
\(154\) −11.6363 + 7.92045i −0.937681 + 0.638248i
\(155\) 0.635424 + 0.550598i 0.0510385 + 0.0442251i
\(156\) −1.71854 0.885971i −0.137594 0.0709345i
\(157\) 4.78000 0.921270i 0.381486 0.0735253i 0.00509654 0.999987i \(-0.498378\pi\)
0.376389 + 0.926462i \(0.377166\pi\)
\(158\) −3.77984 3.96418i −0.300708 0.315374i
\(159\) 1.29526 0.123683i 0.102721 0.00980868i
\(160\) −3.27544 −0.258946
\(161\) 12.0976 + 3.82720i 0.953426 + 0.301626i
\(162\) −1.12397 −0.0883072
\(163\) 1.54669 0.147691i 0.121146 0.0115681i −0.0343068 0.999411i \(-0.510922\pi\)
0.155453 + 0.987843i \(0.450316\pi\)
\(164\) 0.509712 + 0.534571i 0.0398018 + 0.0417430i
\(165\) 3.88161 0.748118i 0.302183 0.0582409i
\(166\) 10.2726 + 5.29589i 0.797308 + 0.411041i
\(167\) −6.41838 5.56156i −0.496669 0.430366i 0.370163 0.928967i \(-0.379302\pi\)
−0.866832 + 0.498601i \(0.833847\pi\)
\(168\) −0.601948 8.11593i −0.0464413 0.626158i
\(169\) −5.86430 + 1.72192i −0.451100 + 0.132455i
\(170\) 0.236689 4.96872i 0.0181532 0.381083i
\(171\) 1.35639 + 0.543016i 0.103726 + 0.0415255i
\(172\) −0.464247 + 4.86181i −0.0353985 + 0.370710i
\(173\) −6.64058 4.72873i −0.504874 0.359519i 0.299063 0.954233i \(-0.403326\pi\)
−0.803937 + 0.594714i \(0.797265\pi\)
\(174\) −1.15556 + 0.166145i −0.0876031 + 0.0125954i
\(175\) 3.95003 10.6762i 0.298594 0.807047i
\(176\) −2.64566 9.01028i −0.199424 0.679175i
\(177\) −5.98876 + 2.39754i −0.450143 + 0.180210i
\(178\) −0.221401 0.639697i −0.0165947 0.0479473i
\(179\) 0.0938084 + 1.96928i 0.00701157 + 0.147191i 0.999658 + 0.0261429i \(0.00832248\pi\)
−0.992647 + 0.121048i \(0.961374\pi\)
\(180\) −0.201223 + 0.581396i −0.0149983 + 0.0433347i
\(181\) 21.4890 + 6.30973i 1.59726 + 0.468998i 0.954783 0.297304i \(-0.0960876\pi\)
0.642479 + 0.766303i \(0.277906\pi\)
\(182\) 5.78886 + 5.23465i 0.429099 + 0.388018i
\(183\) 6.49801i 0.480346i
\(184\) −8.55244 + 12.0196i −0.630494 + 0.886097i
\(185\) 0.213281 + 0.123138i 0.0156807 + 0.00905327i
\(186\) −0.656385 0.921764i −0.0481285 0.0675870i
\(187\) −24.3778 + 5.91398i −1.78268 + 0.432473i
\(188\) 1.80613 1.56502i 0.131726 0.114141i
\(189\) −2.55739 0.678039i −0.186023 0.0493201i
\(190\) −0.898086 + 1.03645i −0.0651540 + 0.0751917i
\(191\) −1.01132 2.52616i −0.0731766 0.182786i 0.887270 0.461250i \(-0.152599\pi\)
−0.960447 + 0.278464i \(0.910175\pi\)
\(192\) 8.13997 + 1.97473i 0.587452 + 0.142514i
\(193\) 4.75896 2.45342i 0.342558 0.176601i −0.278359 0.960477i \(-0.589791\pi\)
0.620917 + 0.783876i \(0.286760\pi\)
\(194\) −6.21086 + 4.88428i −0.445914 + 0.350671i
\(195\) −0.910508 1.99373i −0.0652028 0.142774i
\(196\) 0.949264 5.06876i 0.0678046 0.362054i
\(197\) 1.94073 + 13.4981i 0.138271 + 0.961698i 0.934312 + 0.356455i \(0.116015\pi\)
−0.796041 + 0.605243i \(0.793076\pi\)
\(198\) −5.31425 0.253149i −0.377667 0.0179905i
\(199\) −0.781792 + 3.22259i −0.0554197 + 0.228443i −0.992786 0.119903i \(-0.961742\pi\)
0.937366 + 0.348346i \(0.113257\pi\)
\(200\) 10.4030 + 8.18104i 0.735606 + 0.578487i
\(201\) 14.8784 + 2.86757i 1.04944 + 0.202263i
\(202\) 7.69057 + 11.9668i 0.541106 + 0.841978i
\(203\) −2.72951 0.319065i −0.191574 0.0223940i
\(204\) 1.09991 3.74595i 0.0770092 0.262269i
\(205\) 0.0795918 + 0.833523i 0.00555893 + 0.0582157i
\(206\) 11.2036 19.4053i 0.780595 1.35203i
\(207\) 2.78330 + 3.90554i 0.193452 + 0.271454i
\(208\) −4.50918 + 2.60337i −0.312655 + 0.180511i
\(209\) 6.29086 + 2.87294i 0.435148 + 0.198725i
\(210\) 1.38657 2.06032i 0.0956822 0.142175i
\(211\) −15.5364 17.9300i −1.06957 1.23435i −0.970964 0.239227i \(-0.923106\pi\)
−0.0986096 0.995126i \(-0.531440\pi\)
\(212\) −0.439237 + 0.852000i −0.0301669 + 0.0585156i
\(213\) 9.99838 3.46047i 0.685078 0.237108i
\(214\) −3.57300 + 4.54345i −0.244246 + 0.310584i
\(215\) −3.82059 + 4.00692i −0.260562 + 0.273269i
\(216\) 1.66299 2.58766i 0.113152 0.176068i
\(217\) −0.937433 2.49328i −0.0636371 0.169255i
\(218\) 13.7805 6.29333i 0.933331 0.426238i
\(219\) −0.0712878 + 0.100110i −0.00481719 + 0.00676479i
\(220\) −1.08235 + 2.70359i −0.0729723 + 0.182276i
\(221\) 6.37327 + 12.3624i 0.428712 + 0.831586i
\(222\) −0.239885 0.228730i −0.0161000 0.0153513i
\(223\) 11.6866 + 1.68027i 0.782590 + 0.112519i 0.522018 0.852935i \(-0.325180\pi\)
0.260573 + 0.965454i \(0.416089\pi\)
\(224\) 9.12065 + 4.94912i 0.609399 + 0.330677i
\(225\) 3.61955 2.32614i 0.241303 0.155076i
\(226\) 17.6398 + 6.10520i 1.17338 + 0.406112i
\(227\) −3.82161 + 3.64390i −0.253649 + 0.241854i −0.806226 0.591608i \(-0.798493\pi\)
0.552576 + 0.833462i \(0.313645\pi\)
\(228\) −0.876768 + 0.624343i −0.0580654 + 0.0413482i
\(229\) 14.5372 + 25.1792i 0.960645 + 1.66389i 0.720886 + 0.693053i \(0.243735\pi\)
0.239758 + 0.970833i \(0.422932\pi\)
\(230\) −4.31880 + 1.26984i −0.284774 + 0.0837311i
\(231\) −11.9389 3.78184i −0.785525 0.248827i
\(232\) 1.32723 2.90623i 0.0871369 0.190803i
\(233\) −1.76990 7.29562i −0.115950 0.477952i −0.999945 0.0104563i \(-0.996672\pi\)
0.883996 0.467495i \(-0.154844\pi\)
\(234\) 0.558268 + 2.89657i 0.0364951 + 0.189355i
\(235\) 2.70608 0.128907i 0.176525 0.00840894i
\(236\) 0.899383 4.66644i 0.0585449 0.303760i
\(237\) 0.693540 4.82367i 0.0450502 0.313331i
\(238\) −8.16669 + 13.4780i −0.529368 + 0.873651i
\(239\) −7.03353 4.52018i −0.454961 0.292386i 0.293019 0.956107i \(-0.405340\pi\)
−0.747981 + 0.663721i \(0.768976\pi\)
\(240\) 1.02416 + 1.30232i 0.0661092 + 0.0840647i
\(241\) −3.64237 0.347804i −0.234626 0.0224040i −0.0229192 0.999737i \(-0.507296\pi\)
−0.211707 + 0.977333i \(0.567902\pi\)
\(242\) −12.7617 1.21860i −0.820354 0.0783343i
\(243\) −0.618159 0.786053i −0.0396549 0.0504253i
\(244\) 4.02713 + 2.58808i 0.257811 + 0.165685i
\(245\) 4.39779 3.85145i 0.280965 0.246060i
\(246\) 0.160377 1.11544i 0.0102252 0.0711181i
\(247\) 0.725693 3.76525i 0.0461748 0.239577i
\(248\) 3.09331 0.147352i 0.196425 0.00935688i
\(249\) 1.94600 + 10.0968i 0.123323 + 0.639860i
\(250\) 2.05862 + 8.48574i 0.130198 + 0.536685i
\(251\) −7.18971 + 15.7433i −0.453811 + 0.993706i 0.535044 + 0.844824i \(0.320295\pi\)
−0.988855 + 0.148882i \(0.952432\pi\)
\(252\) 1.43879 1.31489i 0.0906355 0.0828301i
\(253\) 12.2801 + 19.0927i 0.772044 + 1.20035i
\(254\) 3.28704 + 5.69332i 0.206247 + 0.357230i
\(255\) 3.60507 2.56716i 0.225758 0.160762i
\(256\) −10.8468 + 10.3424i −0.677924 + 0.646399i
\(257\) −24.6336 8.52576i −1.53660 0.531823i −0.577867 0.816131i \(-0.696115\pi\)
−0.958733 + 0.284308i \(0.908236\pi\)
\(258\) 6.26846 4.02849i 0.390257 0.250803i
\(259\) −0.407834 0.665147i −0.0253416 0.0413302i
\(260\) 1.59826 + 0.229795i 0.0991199 + 0.0142513i
\(261\) −0.751731 0.716774i −0.0465310 0.0443672i
\(262\) 0.335686 + 0.651141i 0.0207388 + 0.0402276i
\(263\) 2.74786 6.86381i 0.169440 0.423241i −0.819207 0.573498i \(-0.805586\pi\)
0.988647 + 0.150257i \(0.0480102\pi\)
\(264\) 8.44562 11.8602i 0.519792 0.729946i
\(265\) −0.988431 + 0.451401i −0.0607188 + 0.0277294i
\(266\) 4.06682 1.52906i 0.249353 0.0937524i
\(267\) 0.325610 0.506659i 0.0199270 0.0310070i
\(268\) −7.70305 + 8.07873i −0.470539 + 0.493487i
\(269\) −7.74596 + 9.84980i −0.472280 + 0.600553i −0.962579 0.271002i \(-0.912645\pi\)
0.490299 + 0.871554i \(0.336888\pi\)
\(270\) 0.887027 0.307003i 0.0539828 0.0186836i
\(271\) −11.6583 + 22.6140i −0.708192 + 1.37370i 0.210055 + 0.977690i \(0.432636\pi\)
−0.918246 + 0.396010i \(0.870394\pi\)
\(272\) −6.88488 7.94558i −0.417457 0.481771i
\(273\) −0.477127 + 6.92742i −0.0288771 + 0.419267i
\(274\) −18.8190 8.59433i −1.13689 0.519203i
\(275\) 17.6376 10.1831i 1.06359 0.614061i
\(276\) −3.52901 + 0.169411i −0.212422 + 0.0101974i
\(277\) 6.73610 11.6673i 0.404733 0.701018i −0.589558 0.807726i \(-0.700698\pi\)
0.994290 + 0.106709i \(0.0340312\pi\)
\(278\) 0.887190 + 9.29108i 0.0532101 + 0.557242i
\(279\) 0.283643 0.965998i 0.0169812 0.0578328i
\(280\) 2.69186 + 6.24062i 0.160869 + 0.372948i
\(281\) 13.9518 + 21.7094i 0.832294 + 1.29507i 0.953179 + 0.302408i \(0.0977905\pi\)
−0.120885 + 0.992667i \(0.538573\pi\)
\(282\) −3.58027 0.690041i −0.213202 0.0410913i
\(283\) −22.1633 17.4294i −1.31747 1.03607i −0.996019 0.0891454i \(-0.971586\pi\)
−0.321453 0.946926i \(-0.604171\pi\)
\(284\) −1.83762 + 7.57475i −0.109042 + 0.449479i
\(285\) −1.21877 0.0580573i −0.0721939 0.00343902i
\(286\) 1.98717 + 13.8211i 0.117504 + 0.817256i
\(287\) 1.03781 2.44125i 0.0612598 0.144103i
\(288\) 1.62930 + 3.56766i 0.0960073 + 0.210227i
\(289\) −8.71281 + 6.85183i −0.512518 + 0.403049i
\(290\) 0.866582 0.446754i 0.0508875 0.0262343i
\(291\) −6.83169 1.65735i −0.400481 0.0971556i
\(292\) −0.0336498 0.0840531i −0.00196921 0.00491884i
\(293\) 11.2999 13.0407i 0.660145 0.761849i −0.322655 0.946516i \(-0.604576\pi\)
0.982801 + 0.184668i \(0.0591210\pi\)
\(294\) −6.97407 + 3.64200i −0.406736 + 0.212406i
\(295\) 4.07142 3.52791i 0.237047 0.205403i
\(296\) 0.881521 0.213855i 0.0512374 0.0124301i
\(297\) −2.74569 3.85578i −0.159321 0.223735i
\(298\) −22.5015 12.9913i −1.30348 0.752564i
\(299\) 8.68251 9.11268i 0.502122 0.527000i
\(300\) 3.16969i 0.183002i
\(301\) 16.6930 5.38466i 0.962169 0.310367i
\(302\) −0.208808 0.0613116i −0.0120156 0.00352809i
\(303\) −4.13937 + 11.9599i −0.237800 + 0.687079i
\(304\) 0.137918 + 2.89526i 0.00791016 + 0.166055i
\(305\) 1.77488 + 5.12818i 0.101629 + 0.293639i
\(306\) −5.52975 + 2.21378i −0.316115 + 0.126553i
\(307\) −0.784206 2.67076i −0.0447570 0.152428i 0.934083 0.357057i \(-0.116220\pi\)
−0.978840 + 0.204628i \(0.934401\pi\)
\(308\) 7.09894 5.89288i 0.404500 0.335778i
\(309\) 19.7330 2.83717i 1.12257 0.161401i
\(310\) 0.769788 + 0.548163i 0.0437210 + 0.0311336i
\(311\) 1.88734 19.7651i 0.107021 1.12078i −0.769246 0.638952i \(-0.779368\pi\)
0.876268 0.481825i \(-0.160026\pi\)
\(312\) −7.49464 3.00040i −0.424301 0.169864i
\(313\) 0.658103 13.8153i 0.0371982 0.780885i −0.900798 0.434239i \(-0.857017\pi\)
0.937996 0.346646i \(-0.112680\pi\)
\(314\) 5.24981 1.54148i 0.296264 0.0869909i
\(315\) 2.20348 0.163429i 0.124152 0.00920819i
\(316\) 2.71324 + 2.35103i 0.152632 + 0.132256i
\(317\) 27.4422 + 14.1475i 1.54131 + 0.794601i 0.998962 0.0455531i \(-0.0145050\pi\)
0.542348 + 0.840154i \(0.317535\pi\)
\(318\) 1.43603 0.276772i 0.0805285 0.0155206i
\(319\) −3.39283 3.55830i −0.189962 0.199227i
\(320\) −6.96339 + 0.664923i −0.389265 + 0.0371703i
\(321\) −5.14256 −0.287030
\(322\) 13.9447 + 2.98966i 0.777106 + 0.166607i
\(323\) 7.74275 0.430818
\(324\) 0.733361 0.0700275i 0.0407423 0.00389042i
\(325\) −7.79250 8.17254i −0.432250 0.453331i
\(326\) 1.71478 0.330497i 0.0949729 0.0183045i
\(327\) 11.9802 + 6.17625i 0.662509 + 0.341547i
\(328\) 2.33075 + 2.01961i 0.128694 + 0.111514i
\(329\) −7.73002 3.72988i −0.426170 0.205635i
\(330\) 4.26312 1.25176i 0.234677 0.0689073i
\(331\) 1.02175 21.4491i 0.0561602 1.17895i −0.778304 0.627887i \(-0.783920\pi\)
0.834465 0.551061i \(-0.185777\pi\)
\(332\) −7.03257 2.81542i −0.385962 0.154516i
\(333\) 0.0280317 0.293562i 0.00153613 0.0160871i
\(334\) −7.77558 5.53697i −0.425461 0.302969i
\(335\) −12.5252 + 1.80085i −0.684322 + 0.0983907i
\(336\) −0.884046 5.17388i −0.0482287 0.282258i
\(337\) 5.10429 + 17.3836i 0.278048 + 0.946945i 0.973560 + 0.228431i \(0.0733594\pi\)
−0.695512 + 0.718514i \(0.744822\pi\)
\(338\) −6.37747 + 2.55315i −0.346889 + 0.138873i
\(339\) 5.43183 + 15.6943i 0.295017 + 0.852395i
\(340\) 0.155136 + 3.25671i 0.00841345 + 0.176620i
\(341\) 1.55867 4.50347i 0.0844065 0.243876i
\(342\) 1.57565 + 0.462652i 0.0852014 + 0.0250174i
\(343\) −18.0653 + 4.07960i −0.975437 + 0.220278i
\(344\) 20.3920i 1.09946i
\(345\) −3.26333 2.32199i −0.175692 0.125012i
\(346\) −7.93522 4.58140i −0.426600 0.246298i
\(347\) −11.4944 16.1417i −0.617054 0.866531i 0.381267 0.924465i \(-0.375488\pi\)
−0.998320 + 0.0579343i \(0.981549\pi\)
\(348\) 0.743626 0.180402i 0.0398625 0.00967054i
\(349\) −22.7122 + 19.6803i −1.21576 + 1.05346i −0.218781 + 0.975774i \(0.570208\pi\)
−0.996978 + 0.0776866i \(0.975247\pi\)
\(350\) 3.27896 12.3674i 0.175268 0.661066i
\(351\) −1.71870 + 1.98348i −0.0917373 + 0.105870i
\(352\) 6.89997 + 17.2353i 0.367770 + 0.918645i
\(353\) 24.7091 + 5.99435i 1.31513 + 0.319047i 0.831158 0.556036i \(-0.187678\pi\)
0.483972 + 0.875083i \(0.339194\pi\)
\(354\) −6.44454 + 3.32239i −0.342524 + 0.176583i
\(355\) −6.94545 + 5.46196i −0.368626 + 0.289891i
\(356\) 0.184315 + 0.403593i 0.00976865 + 0.0213904i
\(357\) −13.9175 + 1.70122i −0.736590 + 0.0900381i
\(358\) 0.315358 + 2.19336i 0.0166672 + 0.115923i
\(359\) −13.9865 0.666257i −0.738177 0.0351637i −0.324874 0.945757i \(-0.605322\pi\)
−0.413303 + 0.910594i \(0.635625\pi\)
\(360\) −0.605619 + 2.49640i −0.0319189 + 0.131572i
\(361\) 13.2571 + 10.4255i 0.697740 + 0.548709i
\(362\) 24.7177 + 4.76394i 1.29913 + 0.250387i
\(363\) −6.16645 9.59518i −0.323655 0.503617i
\(364\) −4.10323 3.05481i −0.215068 0.160116i
\(365\) 0.0289157 0.0984777i 0.00151351 0.00515456i
\(366\) −0.694246 7.27048i −0.0362888 0.380034i
\(367\) 9.13739 15.8264i 0.476968 0.826133i −0.522684 0.852527i \(-0.675069\pi\)
0.999652 + 0.0263940i \(0.00840246\pi\)
\(368\) −4.75415 + 8.24144i −0.247827 + 0.429615i
\(369\) 0.868296 0.501311i 0.0452017 0.0260972i
\(370\) 0.251791 + 0.114989i 0.0130900 + 0.00597801i
\(371\) 3.43440 + 0.236545i 0.178305 + 0.0122808i
\(372\) 0.485705 + 0.560533i 0.0251826 + 0.0290623i
\(373\) −10.7112 + 20.7769i −0.554606 + 1.07578i 0.430299 + 0.902687i \(0.358408\pi\)
−0.984905 + 0.173098i \(0.944622\pi\)
\(374\) −26.6439 + 9.22154i −1.37772 + 0.476835i
\(375\) −4.80235 + 6.10669i −0.247992 + 0.315348i
\(376\) 6.88591 7.22174i 0.355114 0.372433i
\(377\) −1.47381 + 2.29330i −0.0759053 + 0.118111i
\(378\) −2.93385 0.485411i −0.150901 0.0249668i
\(379\) 22.6505 10.3441i 1.16348 0.531343i 0.262383 0.964964i \(-0.415491\pi\)
0.901096 + 0.433621i \(0.142764\pi\)
\(380\) 0.521404 0.732210i 0.0267475 0.0375616i
\(381\) −2.17385 + 5.43002i −0.111370 + 0.278188i
\(382\) −1.40144 2.71841i −0.0717038 0.139086i
\(383\) −9.58456 9.13886i −0.489748 0.466974i 0.404505 0.914536i \(-0.367444\pi\)
−0.894253 + 0.447562i \(0.852292\pi\)
\(384\) 1.55426 + 0.223469i 0.0793155 + 0.0114038i
\(385\) 10.4551 0.276427i 0.532842 0.0140880i
\(386\) 5.06258 3.25352i 0.257678 0.165600i
\(387\) 6.26487 + 2.16829i 0.318461 + 0.110221i
\(388\) 3.74813 3.57383i 0.190282 0.181434i
\(389\) 20.7571 14.7810i 1.05242 0.749428i 0.0834308 0.996514i \(-0.473412\pi\)
0.968994 + 0.247085i \(0.0794728\pi\)
\(390\) −1.23176 2.13347i −0.0623725 0.108032i
\(391\) 21.3858 + 13.7327i 1.08153 + 0.694491i
\(392\) 1.93381 21.4447i 0.0976719 1.08312i
\(393\) −0.270758 + 0.592878i −0.0136580 + 0.0299067i
\(394\) 3.61357 + 14.8954i 0.182049 + 0.750417i
\(395\) 0.770213 + 3.99625i 0.0387536 + 0.201073i
\(396\) 3.48319 0.165925i 0.175037 0.00833803i
\(397\) −6.09352 + 31.6162i −0.305825 + 1.58677i 0.425640 + 0.904893i \(0.360049\pi\)
−0.731465 + 0.681879i \(0.761163\pi\)
\(398\) −0.530428 + 3.68921i −0.0265880 + 0.184923i
\(399\) 3.30602 + 2.00320i 0.165508 + 0.100286i
\(400\) 7.18076 + 4.61480i 0.359038 + 0.230740i
\(401\) −11.1320 14.1555i −0.555904 0.706890i 0.424156 0.905589i \(-0.360571\pi\)
−0.980060 + 0.198699i \(0.936328\pi\)
\(402\) 16.9534 + 1.61886i 0.845561 + 0.0807413i
\(403\) −2.63035 0.251168i −0.131027 0.0125116i
\(404\) −5.76348 7.32886i −0.286744 0.364625i
\(405\) 0.702551 + 0.451502i 0.0349101 + 0.0224353i
\(406\) −3.08808 0.0653741i −0.153259 0.00324446i
\(407\) 0.198656 1.38168i 0.00984699 0.0684873i
\(408\) 3.08497 16.0063i 0.152729 0.792432i
\(409\) −32.4468 + 1.54563i −1.60439 + 0.0764265i −0.830546 0.556950i \(-0.811971\pi\)
−0.773844 + 0.633377i \(0.781668\pi\)
\(410\) 0.178107 + 0.924107i 0.00879607 + 0.0456384i
\(411\) −4.33955 17.8879i −0.214054 0.882343i
\(412\) −6.10108 + 13.3595i −0.300579 + 0.658175i
\(413\) −16.6677 + 3.67183i −0.820164 + 0.180679i
\(414\) 3.53144 + 4.07246i 0.173561 + 0.200150i
\(415\) −4.29365 7.43681i −0.210767 0.365059i
\(416\) 8.38495 5.97089i 0.411106 0.292747i
\(417\) −6.00983 + 5.73036i −0.294303 + 0.280617i
\(418\) 7.34565 + 2.54235i 0.359288 + 0.124351i
\(419\) 22.8376 14.6768i 1.11569 0.717010i 0.153164 0.988201i \(-0.451054\pi\)
0.962526 + 0.271191i \(0.0874175\pi\)
\(420\) −0.776335 + 1.43070i −0.0378813 + 0.0698108i
\(421\) −21.9005 3.14881i −1.06736 0.153464i −0.413824 0.910357i \(-0.635807\pi\)
−0.653539 + 0.756893i \(0.726716\pi\)
\(422\) −19.2990 18.4016i −0.939462 0.895775i
\(423\) −1.48649 2.88339i −0.0722757 0.140195i
\(424\) −1.48751 + 3.71561i −0.0722397 + 0.180446i
\(425\) 13.2260 18.5734i 0.641557 0.900941i
\(426\) 10.8173 4.94007i 0.524098 0.239347i
\(427\) 2.80631 16.9615i 0.135807 0.820825i
\(428\) 2.04822 3.18710i 0.0990047 0.154054i
\(429\) −8.57294 + 8.99104i −0.413905 + 0.434091i
\(430\) −3.84667 + 4.89144i −0.185503 + 0.235886i
\(431\) −5.35606 + 1.85375i −0.257992 + 0.0892920i −0.453003 0.891509i \(-0.649647\pi\)
0.195010 + 0.980801i \(0.437526\pi\)
\(432\) 0.909068 1.76335i 0.0437375 0.0848390i
\(433\) −16.6075 19.1661i −0.798106 0.921064i 0.200170 0.979761i \(-0.435851\pi\)
−0.998276 + 0.0586976i \(0.981305\pi\)
\(434\) −1.31525 2.68952i −0.0631343 0.129101i
\(435\) 0.789042 + 0.360344i 0.0378317 + 0.0172772i
\(436\) −8.59932 + 4.96482i −0.411833 + 0.237772i
\(437\) −2.29418 6.62071i −0.109746 0.316712i
\(438\) −0.0690667 + 0.119627i −0.00330013 + 0.00571600i
\(439\) −3.03978 31.8340i −0.145081 1.51935i −0.715856 0.698248i \(-0.753963\pi\)
0.570775 0.821106i \(-0.306643\pi\)
\(440\) −3.42570 + 11.6669i −0.163314 + 0.556196i
\(441\) −6.38265 2.87433i −0.303936 0.136873i
\(442\) 8.45171 + 13.1511i 0.402007 + 0.625535i
\(443\) −22.4419 4.32531i −1.06625 0.205502i −0.374194 0.927350i \(-0.622081\pi\)
−0.692051 + 0.721849i \(0.743293\pi\)
\(444\) 0.170770 + 0.134295i 0.00810438 + 0.00637335i
\(445\) −0.118579 + 0.488789i −0.00562118 + 0.0231708i
\(446\) 13.2554 + 0.631431i 0.627660 + 0.0298991i
\(447\) −3.28986 22.8815i −0.155605 1.08226i
\(448\) 20.3946 + 8.67001i 0.963556 + 0.409620i
\(449\) −12.3754 27.0984i −0.584033 1.27885i −0.938982 0.343967i \(-0.888229\pi\)
0.354949 0.934886i \(-0.384498\pi\)
\(450\) 3.80131 2.98938i 0.179195 0.140921i
\(451\) 4.21831 2.17469i 0.198633 0.102402i
\(452\) −11.8899 2.88447i −0.559256 0.135674i
\(453\) −0.0719616 0.179751i −0.00338105 0.00844546i
\(454\) −3.88660 + 4.48538i −0.182407 + 0.210509i
\(455\) −1.51563 5.59740i −0.0710537 0.262410i
\(456\) −3.39643 + 2.94302i −0.159052 + 0.137820i
\(457\) −19.7913 + 4.80131i −0.925797 + 0.224596i −0.670194 0.742186i \(-0.733789\pi\)
−0.255603 + 0.966782i \(0.582274\pi\)
\(458\) 18.9555 + 26.6193i 0.885732 + 1.24384i
\(459\) −4.58946 2.64973i −0.214218 0.123679i
\(460\) 2.73880 1.09762i 0.127697 0.0511768i
\(461\) 26.5397i 1.23608i −0.786149 0.618038i \(-0.787928\pi\)
0.786149 0.618038i \(-0.212072\pi\)
\(462\) −13.7623 2.95587i −0.640279 0.137519i
\(463\) −20.5355 6.02977i −0.954366 0.280227i −0.232762 0.972534i \(-0.574776\pi\)
−0.721603 + 0.692307i \(0.756595\pi\)
\(464\) 0.673965 1.94729i 0.0312881 0.0904009i
\(465\) 0.0400062 + 0.839834i 0.00185524 + 0.0389464i
\(466\) −2.75976 7.97381i −0.127844 0.369380i
\(467\) 24.9644 9.99424i 1.15522 0.462478i 0.286641 0.958038i \(-0.407461\pi\)
0.868574 + 0.495560i \(0.165037\pi\)
\(468\) −0.544724 1.85516i −0.0251799 0.0857548i
\(469\) 37.5981 + 13.9107i 1.73612 + 0.642335i
\(470\) 3.01401 0.433349i 0.139026 0.0199889i
\(471\) 3.96533 + 2.82370i 0.182713 + 0.130109i
\(472\) 1.88615 19.7527i 0.0868173 0.909192i
\(473\) 29.1327 + 11.6630i 1.33952 + 0.536264i
\(474\) 0.260625 5.47120i 0.0119709 0.251301i
\(475\) −6.03161 + 1.77104i −0.276749 + 0.0812610i
\(476\) 4.48883 9.30291i 0.205745 0.426398i
\(477\) 0.983348 + 0.852076i 0.0450244 + 0.0390139i
\(478\) −8.35260 4.30607i −0.382039 0.196955i
\(479\) −1.54256 + 0.297305i −0.0704816 + 0.0135842i −0.224370 0.974504i \(-0.572032\pi\)
0.153889 + 0.988088i \(0.450820\pi\)
\(480\) −2.26031 2.37055i −0.103169 0.108200i
\(481\) −0.770459 + 0.0735699i −0.0351299 + 0.00335450i
\(482\) −4.11253 −0.187321
\(483\) 5.57844 + 11.3965i 0.253828 + 0.518560i
\(484\) 8.40263 0.381938
\(485\) 5.84422 0.558055i 0.265372 0.0253400i
\(486\) −0.775626 0.813454i −0.0351831 0.0368990i
\(487\) −8.55189 + 1.64824i −0.387523 + 0.0746889i −0.379292 0.925277i \(-0.623832\pi\)
−0.00823134 + 0.999966i \(0.502620\pi\)
\(488\) 17.7657 + 9.15885i 0.804215 + 0.414601i
\(489\) 1.17423 + 1.01748i 0.0531005 + 0.0460118i
\(490\) 4.50910 4.77916i 0.203701 0.215900i
\(491\) −32.8660 + 9.65034i −1.48322 + 0.435514i −0.920372 0.391044i \(-0.872114\pi\)
−0.562852 + 0.826558i \(0.690296\pi\)
\(492\) −0.0351454 + 0.737792i −0.00158448 + 0.0332622i
\(493\) −5.11017 2.04580i −0.230150 0.0921383i
\(494\) 0.409683 4.29039i 0.0184325 0.193034i
\(495\) 3.22005 + 2.29299i 0.144731 + 0.103062i
\(496\) 1.97700 0.284250i 0.0887701 0.0127632i
\(497\) 27.5929 4.71473i 1.23771 0.211484i
\(498\) 3.25609 + 11.0892i 0.145909 + 0.496919i
\(499\) 39.6213 15.8620i 1.77369 0.710080i 0.776940 0.629575i \(-0.216771\pi\)
0.996754 0.0805047i \(-0.0256532\pi\)
\(500\) −1.87189 5.40848i −0.0837136 0.241875i
\(501\) −0.404101 8.48312i −0.0180539 0.378998i
\(502\) −6.36240 + 18.3829i −0.283968 + 0.820471i
\(503\) 19.0018 + 5.57942i 0.847247 + 0.248774i 0.676410 0.736525i \(-0.263535\pi\)
0.170837 + 0.985299i \(0.445353\pi\)
\(504\) 5.45838 6.03628i 0.243136 0.268877i
\(505\) 10.5693i 0.470329i
\(506\) 15.7798 + 20.0504i 0.701498 + 0.891351i
\(507\) −5.29304 3.05594i −0.235072 0.135719i
\(508\) −2.49943 3.50995i −0.110894 0.155729i
\(509\) −20.8770 + 5.06471i −0.925358 + 0.224490i −0.670004 0.742358i \(-0.733707\pi\)
−0.255355 + 0.966847i \(0.582192\pi\)
\(510\) 3.75936 3.25751i 0.166467 0.144245i
\(511\) −0.229315 + 0.230526i −0.0101443 + 0.0101979i
\(512\) −13.0878 + 15.1042i −0.578406 + 0.667516i
\(513\) 0.543016 + 1.35639i 0.0239747 + 0.0598860i
\(514\) −28.4729 6.90744i −1.25588 0.304674i
\(515\) −14.7982 + 7.62899i −0.652085 + 0.336173i
\(516\) −3.83902 + 3.01904i −0.169004 + 0.132906i
\(517\) −6.37889 13.9678i −0.280543 0.614304i
\(518\) −0.527381 0.700645i −0.0231718 0.0307846i
\(519\) −1.16018 8.06921i −0.0509261 0.354199i
\(520\) 6.73426 + 0.320792i 0.295317 + 0.0140677i
\(521\) 4.47275 18.4369i 0.195955 0.807737i −0.785939 0.618304i \(-0.787820\pi\)
0.981894 0.189433i \(-0.0606649\pi\)
\(522\) −0.917675 0.721668i −0.0401656 0.0315865i
\(523\) −19.6548 3.78816i −0.859446 0.165645i −0.259557 0.965728i \(-0.583577\pi\)
−0.599889 + 0.800083i \(0.704789\pi\)
\(524\) −0.259596 0.403939i −0.0113405 0.0176461i
\(525\) 10.4526 4.50867i 0.456188 0.196774i
\(526\) 2.34119 7.97335i 0.102081 0.347654i
\(527\) −0.507161 5.31123i −0.0220923 0.231361i
\(528\) 4.69533 8.13256i 0.204338 0.353924i
\(529\) 5.40598 22.3557i 0.235042 0.971985i
\(530\) −1.05771 + 0.610667i −0.0459438 + 0.0265257i
\(531\) −5.86790 2.67978i −0.254645 0.116293i
\(532\) −2.55823 + 1.25105i −0.110913 + 0.0542399i
\(533\) −1.72320 1.98868i −0.0746402 0.0861394i
\(534\) 0.310186 0.601677i 0.0134231 0.0260371i
\(535\) 4.05848 1.40465i 0.175463 0.0607284i
\(536\) −28.8108 + 36.6360i −1.24444 + 1.58243i
\(537\) −1.36050 + 1.42685i −0.0587099 + 0.0615732i
\(538\) −7.61444 + 11.8483i −0.328282 + 0.510816i
\(539\) −29.5305 15.0277i −1.27197 0.647290i
\(540\) −0.559636 + 0.255577i −0.0240829 + 0.0109983i
\(541\) 16.2182 22.7753i 0.697276 0.979187i −0.302386 0.953186i \(-0.597783\pi\)
0.999662 0.0260015i \(-0.00827748\pi\)
\(542\) −10.6281 + 26.5478i −0.456518 + 1.14033i
\(543\) 10.2625 + 19.9065i 0.440407 + 0.854270i
\(544\) 15.0428 + 14.3433i 0.644955 + 0.614963i
\(545\) −11.1417 1.60194i −0.477259 0.0686195i
\(546\) 0.206278 + 7.80192i 0.00882789 + 0.333891i
\(547\) −16.3098 + 10.4817i −0.697357 + 0.448164i −0.840694 0.541510i \(-0.817853\pi\)
0.143338 + 0.989674i \(0.454216\pi\)
\(548\) 12.8144 + 4.43510i 0.547403 + 0.189458i
\(549\) 4.70283 4.48414i 0.200712 0.191378i
\(550\) 18.6463 13.2780i 0.795082 0.566175i
\(551\) 0.758783 + 1.31425i 0.0323252 + 0.0559889i
\(552\) −14.6009 + 2.10478i −0.621454 + 0.0895854i
\(553\) 3.89354 12.2915i 0.165570 0.522690i
\(554\) 6.29034 13.7739i 0.267251 0.585198i
\(555\) 0.0580617 + 0.239333i 0.00246458 + 0.0101591i
\(556\) −1.15774 6.00693i −0.0490991 0.254750i
\(557\) 10.0863 0.480471i 0.427372 0.0203582i 0.167205 0.985922i \(-0.446526\pi\)
0.260166 + 0.965564i \(0.416223\pi\)
\(558\) 0.214154 1.11114i 0.00906588 0.0470382i
\(559\) 2.47617 17.2221i 0.104731 0.728419i
\(560\) 2.11089 + 3.84172i 0.0892013 + 0.162342i
\(561\) −21.1027 13.5619i −0.890958 0.572584i
\(562\) 17.9298 + 22.7996i 0.756322 + 0.961742i
\(563\) 26.1254 + 2.49468i 1.10106 + 0.105138i 0.629725 0.776818i \(-0.283168\pi\)
0.471331 + 0.881956i \(0.343774\pi\)
\(564\) 2.37903 + 0.227170i 0.100175 + 0.00956558i
\(565\) −8.57353 10.9021i −0.360691 0.458656i
\(566\) −26.6602 17.1335i −1.12061 0.720173i
\(567\) −1.27408 2.31877i −0.0535065 0.0973793i
\(568\) −4.63157 + 32.2133i −0.194336 + 1.35164i
\(569\) −1.67568 + 8.69428i −0.0702484 + 0.364483i −0.999993 0.00372169i \(-0.998815\pi\)
0.929745 + 0.368205i \(0.120027\pi\)
\(570\) −1.36986 + 0.0652546i −0.0573772 + 0.00273321i
\(571\) −7.68886 39.8936i −0.321769 1.66950i −0.677973 0.735087i \(-0.737141\pi\)
0.356204 0.934408i \(-0.384071\pi\)
\(572\) −2.15768 8.89410i −0.0902173 0.371881i
\(573\) 1.13037 2.47517i 0.0472221 0.103402i
\(574\) 0.900356 2.84234i 0.0375801 0.118637i
\(575\) −19.8007 5.80608i −0.825746 0.242130i
\(576\) 4.18804 + 7.25389i 0.174502 + 0.302246i
\(577\) −17.5506 + 12.4977i −0.730640 + 0.520287i −0.883771 0.467919i \(-0.845004\pi\)
0.153131 + 0.988206i \(0.451064\pi\)
\(578\) −9.01652 + 8.59724i −0.375038 + 0.357598i
\(579\) 5.05968 + 1.75117i 0.210273 + 0.0727763i
\(580\) −0.537589 + 0.345488i −0.0223222 + 0.0143456i
\(581\) 0.719042 + 27.1958i 0.0298309 + 1.12827i
\(582\) −7.82090 1.12448i −0.324187 0.0466110i
\(583\) 4.45747 + 4.25019i 0.184610 + 0.176025i
\(584\) −0.173223 0.336006i −0.00716802 0.0139040i
\(585\) 0.814611 2.03480i 0.0336800 0.0841286i
\(586\) 11.2499 15.7983i 0.464729 0.652621i
\(587\) −33.4859 + 15.2925i −1.38211 + 0.631190i −0.961185 0.275905i \(-0.911023\pi\)
−0.420927 + 0.907094i \(0.638295\pi\)
\(588\) 4.32350 2.81083i 0.178298 0.115917i
\(589\) −0.795257 + 1.23744i −0.0327680 + 0.0509880i
\(590\) 4.17850 4.38229i 0.172026 0.180416i
\(591\) −8.42976 + 10.7193i −0.346754 + 0.440934i
\(592\) 0.552864 0.191348i 0.0227226 0.00786436i
\(593\) 20.8371 40.4183i 0.855676 1.65978i 0.109544 0.993982i \(-0.465061\pi\)
0.746132 0.665798i \(-0.231909\pi\)
\(594\) −3.48404 4.02080i −0.142952 0.164975i
\(595\) 10.5189 5.14404i 0.431232 0.210885i
\(596\) 15.4911 + 7.07455i 0.634540 + 0.289785i
\(597\) −2.87180 + 1.65803i −0.117535 + 0.0678587i
\(598\) 8.74107 11.1236i 0.357449 0.454878i
\(599\) −15.5734 + 26.9739i −0.636311 + 1.10212i 0.349925 + 0.936778i \(0.386207\pi\)
−0.986236 + 0.165345i \(0.947126\pi\)
\(600\) 1.25802 + 13.1746i 0.0513585 + 0.537850i
\(601\) 10.4310 35.5249i 0.425491 1.44909i −0.416271 0.909241i \(-0.636663\pi\)
0.841762 0.539849i \(-0.181519\pi\)
\(602\) 18.1021 7.80826i 0.737788 0.318241i
\(603\) 8.19189 + 12.7468i 0.333599 + 0.519091i
\(604\) 0.140062 + 0.0269948i 0.00569905 + 0.00109840i
\(605\) 7.48737 + 5.88813i 0.304405 + 0.239387i
\(606\) −3.35365 + 13.8239i −0.136233 + 0.561559i
\(607\) 23.1055 + 1.10065i 0.937823 + 0.0446740i 0.510924 0.859626i \(-0.329303\pi\)
0.426898 + 0.904300i \(0.359606\pi\)
\(608\) −0.815516 5.67204i −0.0330735 0.230032i
\(609\) −1.65266 2.19562i −0.0669692 0.0889711i
\(610\) 2.53377 + 5.54818i 0.102589 + 0.224639i
\(611\) −6.69244 + 5.26299i −0.270747 + 0.212918i
\(612\) 3.47010 1.78896i 0.140270 0.0723144i
\(613\) 19.1029 + 4.63431i 0.771559 + 0.187178i 0.602167 0.798370i \(-0.294304\pi\)
0.169392 + 0.985549i \(0.445819\pi\)
\(614\) −1.16277 2.90447i −0.0469258 0.117215i
\(615\) −0.548324 + 0.632800i −0.0221106 + 0.0255169i
\(616\) 27.1674 27.3109i 1.09461 1.10039i
\(617\) −25.2415 + 21.8719i −1.01619 + 0.880530i −0.992870 0.119198i \(-0.961968\pi\)
−0.0233150 + 0.999728i \(0.507422\pi\)
\(618\) 21.7757 5.28272i 0.875945 0.212502i
\(619\) 10.3888 + 14.5890i 0.417560 + 0.586380i 0.968762 0.247991i \(-0.0797703\pi\)
−0.551203 + 0.834371i \(0.685831\pi\)
\(620\) −0.536420 0.309702i −0.0215432 0.0124379i
\(621\) −0.905881 + 4.70950i −0.0363518 + 0.188986i
\(622\) 22.3164i 0.894806i
\(623\) 1.06874 1.18189i 0.0428182 0.0473515i
\(624\) −4.99584 1.46691i −0.199994 0.0587234i
\(625\) −4.91417 + 14.1986i −0.196567 + 0.567943i
\(626\) −0.739686 15.5279i −0.0295638 0.620620i
\(627\) 2.26195 + 6.53547i 0.0903335 + 0.261001i
\(628\) −3.32933 + 1.33286i −0.132855 + 0.0531871i
\(629\) −0.440290 1.49949i −0.0175555 0.0597886i
\(630\) 2.44796 0.418277i 0.0975292 0.0166645i
\(631\) −16.3218 + 2.34672i −0.649760 + 0.0934213i −0.459311 0.888276i \(-0.651903\pi\)
−0.190449 + 0.981697i \(0.560994\pi\)
\(632\) 12.2105 + 8.69505i 0.485707 + 0.345871i
\(633\) 2.25519 23.6174i 0.0896356 0.938707i
\(634\) 32.2160 + 12.8974i 1.27946 + 0.512220i
\(635\) 0.232420 4.87910i 0.00922332 0.193621i
\(636\) −0.919730 + 0.270057i −0.0364697 + 0.0107085i
\(637\) −4.23719 + 17.8764i −0.167884 + 0.708287i
\(638\) −4.17634 3.61882i −0.165343 0.143270i
\(639\) 9.40414 + 4.84817i 0.372022 + 0.191791i
\(640\) −1.28765 + 0.248174i −0.0508988 + 0.00980995i
\(641\) 7.33232 + 7.68992i 0.289609 + 0.303734i 0.852426 0.522848i \(-0.175131\pi\)
−0.562816 + 0.826582i \(0.690282\pi\)
\(642\) −5.75390 + 0.549431i −0.227088 + 0.0216843i
\(643\) −39.4089 −1.55414 −0.777068 0.629417i \(-0.783294\pi\)
−0.777068 + 0.629417i \(0.783294\pi\)
\(644\) −9.28482 1.08188i −0.365873 0.0426319i
\(645\) −5.53645 −0.217997
\(646\) 8.66320 0.827235i 0.340849 0.0325471i
\(647\) 11.8969 + 12.4771i 0.467716 + 0.490527i 0.914767 0.403982i \(-0.132374\pi\)
−0.447051 + 0.894509i \(0.647526\pi\)
\(648\) 3.02037 0.582129i 0.118651 0.0228682i
\(649\) −27.1406 13.9919i −1.06536 0.549231i
\(650\) −9.59201 8.31153i −0.376230 0.326005i
\(651\) 1.15757 2.39901i 0.0453688 0.0940248i
\(652\) −1.09826 + 0.322479i −0.0430112 + 0.0126292i
\(653\) −1.24602 + 26.1571i −0.0487604 + 1.02361i 0.833404 + 0.552665i \(0.186389\pi\)
−0.882164 + 0.470942i \(0.843914\pi\)
\(654\) 14.0643 + 5.63050i 0.549958 + 0.220170i
\(655\) 0.0517405 0.541851i 0.00202167 0.0211719i
\(656\) 1.62026 + 1.15378i 0.0632605 + 0.0450476i
\(657\) −0.121647 + 0.0174902i −0.00474590 + 0.000682358i
\(658\) −9.04745 3.34741i −0.352706 0.130496i
\(659\) −4.25721 14.4987i −0.165837 0.564790i −0.999914 0.0131411i \(-0.995817\pi\)
0.834076 0.551649i \(-0.186001\pi\)
\(660\) −2.70359 + 1.08235i −0.105237 + 0.0421306i
\(661\) 9.59747 + 27.7301i 0.373298 + 1.07857i 0.962662 + 0.270707i \(0.0872574\pi\)
−0.589363 + 0.807868i \(0.700621\pi\)
\(662\) −1.14841 24.1081i −0.0446342 0.936987i
\(663\) −4.54904 + 13.1436i −0.176670 + 0.510455i
\(664\) −30.3478 8.91092i −1.17772 0.345811i
\(665\) −3.15625 0.677900i −0.122394 0.0262878i
\(666\) 0.331455i 0.0128436i
\(667\) −0.235188 + 4.97580i −0.00910652 + 0.192664i
\(668\) 5.41835 + 3.12829i 0.209642 + 0.121037i
\(669\) 6.84858 + 9.61749i 0.264781 + 0.371834i
\(670\) −13.8217 + 3.35311i −0.533980 + 0.129542i
\(671\) 23.2455 20.1423i 0.897382 0.777586i
\(672\) 2.71212 + 10.0162i 0.104622 + 0.386383i
\(673\) −4.14455 + 4.78307i −0.159761 + 0.184374i −0.829986 0.557784i \(-0.811652\pi\)
0.670226 + 0.742157i \(0.266197\pi\)
\(674\) 7.56834 + 18.9048i 0.291521 + 0.728185i
\(675\) 4.18128 + 1.01437i 0.160938 + 0.0390431i
\(676\) 4.00207 2.06321i 0.153926 0.0793543i
\(677\) −28.3274 + 22.2769i −1.08871 + 0.856173i −0.990296 0.138973i \(-0.955620\pi\)
−0.0984157 + 0.995145i \(0.531377\pi\)
\(678\) 7.75433 + 16.9796i 0.297803 + 0.652098i
\(679\) −17.1168 7.27655i −0.656881 0.279248i
\(680\) 1.93737 + 13.4747i 0.0742949 + 0.516732i
\(681\) −5.27443 0.251252i −0.202116 0.00962799i
\(682\) 1.26281 5.20536i 0.0483554 0.199323i
\(683\) −9.88604 7.77447i −0.378279 0.297482i 0.410858 0.911699i \(-0.365229\pi\)
−0.789137 + 0.614218i \(0.789472\pi\)
\(684\) −1.05690 0.203700i −0.0404115 0.00778868i
\(685\) 8.31067 + 12.9317i 0.317534 + 0.494093i
\(686\) −19.7771 + 6.49468i −0.755092 + 0.247968i
\(687\) −8.19120 + 27.8967i −0.312514 + 1.06432i
\(688\) 1.25019 + 13.0926i 0.0476630 + 0.499150i
\(689\) 1.70746 2.95740i 0.0650489 0.112668i
\(690\) −3.89935 2.24937i −0.148446 0.0856322i
\(691\) −22.0288 + 12.7183i −0.838014 + 0.483827i −0.856589 0.516000i \(-0.827420\pi\)
0.0185749 + 0.999827i \(0.494087\pi\)
\(692\) 5.46297 + 2.49486i 0.207671 + 0.0948402i
\(693\) −5.50177 11.2504i −0.208995 0.427367i
\(694\) −14.5855 16.8325i −0.553656 0.638953i
\(695\) 3.17771 6.16390i 0.120538 0.233810i
\(696\) 3.01923 1.04497i 0.114444 0.0396093i
\(697\) 3.28450 4.17658i 0.124409 0.158199i
\(698\) −23.3096 + 24.4464i −0.882281 + 0.925310i
\(699\) 4.05872 6.31549i 0.153515 0.238874i
\(700\) −1.36890 + 8.27373i −0.0517397 + 0.312718i
\(701\) −25.4334 + 11.6150i −0.960605 + 0.438694i −0.833087 0.553142i \(-0.813429\pi\)
−0.127519 + 0.991836i \(0.540701\pi\)
\(702\) −1.71110 + 2.40290i −0.0645812 + 0.0906916i
\(703\) −0.160134 + 0.399995i −0.00603956 + 0.0150861i
\(704\) 18.1678 + 35.2405i 0.684723 + 1.32818i
\(705\) 1.96071 + 1.86953i 0.0738444 + 0.0704105i
\(706\) 28.2869 + 4.06704i 1.06459 + 0.153065i
\(707\) −15.9700 + 29.4309i −0.600614 + 1.10686i
\(708\) 3.99791 2.56930i 0.150251 0.0965602i
\(709\) 46.5810 + 16.1219i 1.74939 + 0.605469i 0.998489 0.0549487i \(-0.0174995\pi\)
0.750898 + 0.660418i \(0.229621\pi\)
\(710\) −7.18756 + 6.85332i −0.269744 + 0.257201i
\(711\) 3.96965 2.82678i 0.148874 0.106012i
\(712\) 0.926273 + 1.60435i 0.0347136 + 0.0601256i
\(713\) −4.39128 + 2.00739i −0.164455 + 0.0751772i
\(714\) −15.3902 + 3.39040i −0.575963 + 0.126882i
\(715\) 4.30987 9.43730i 0.161180 0.352935i
\(716\) −0.342418 1.41147i −0.0127968 0.0527490i
\(717\) −1.58229 8.20969i −0.0590916 0.306596i
\(718\) −15.7203 + 0.748851i −0.586677 + 0.0279469i
\(719\) −7.20888 + 37.4032i −0.268846 + 1.39490i 0.556767 + 0.830668i \(0.312041\pi\)
−0.825613 + 0.564236i \(0.809171\pi\)
\(720\) −0.235786 + 1.63993i −0.00878721 + 0.0611164i
\(721\) 52.7336 + 1.11636i 1.96390 + 0.0415754i
\(722\) 15.9469 + 10.2484i 0.593482 + 0.381407i
\(723\) −2.26181 2.87612i −0.0841175 0.106964i
\(724\) −16.4245 1.56835i −0.610411 0.0582872i
\(725\) 4.44877 + 0.424806i 0.165223 + 0.0157769i
\(726\) −7.92465 10.0770i −0.294112 0.373993i
\(727\) −8.41155 5.40578i −0.311967 0.200489i 0.375282 0.926911i \(-0.377546\pi\)
−0.687250 + 0.726421i \(0.741182\pi\)
\(728\) −18.2672 11.0686i −0.677028 0.410229i
\(729\) 0.142315 0.989821i 0.00527092 0.0366601i
\(730\) 0.0218317 0.113274i 0.000808029 0.00419245i
\(731\) 35.0929 1.67168i 1.29796 0.0618294i
\(732\) 0.905957 + 4.70055i 0.0334851 + 0.173737i
\(733\) 7.64574 + 31.5162i 0.282402 + 1.16408i 0.919436 + 0.393240i \(0.128646\pi\)
−0.637034 + 0.770836i \(0.719839\pi\)
\(734\) 8.53273 18.6841i 0.314949 0.689642i
\(735\) 5.82225 + 0.525029i 0.214757 + 0.0193660i
\(736\) 7.80753 17.1128i 0.287789 0.630786i
\(737\) 35.8613 + 62.1135i 1.32097 + 2.28798i
\(738\) 0.917957 0.653675i 0.0337905 0.0240621i
\(739\) 3.51827 3.35466i 0.129422 0.123403i −0.622604 0.782537i \(-0.713925\pi\)
0.752026 + 0.659134i \(0.229077\pi\)
\(740\) −0.171452 0.0593401i −0.00630270 0.00218139i
\(741\) 3.22583 2.07311i 0.118504 0.0761578i
\(742\) 3.86795 0.102266i 0.141997 0.00375431i
\(743\) −8.94328 1.28585i −0.328097 0.0471733i −0.0237019 0.999719i \(-0.507545\pi\)
−0.304395 + 0.952546i \(0.598454\pi\)
\(744\) 2.24127 + 2.13705i 0.0821689 + 0.0783479i
\(745\) 8.84625 + 17.1593i 0.324101 + 0.628669i
\(746\) −9.76475 + 24.3912i −0.357513 + 0.893024i
\(747\) −5.96452 + 8.37600i −0.218230 + 0.306462i
\(748\) 16.8100 7.67685i 0.614633 0.280693i
\(749\) −13.4235 2.22093i −0.490482 0.0811511i
\(750\) −4.72081 + 7.34572i −0.172380 + 0.268228i
\(751\) 20.2218 21.2081i 0.737906 0.773893i −0.242654 0.970113i \(-0.578018\pi\)
0.980560 + 0.196220i \(0.0628666\pi\)
\(752\) 3.97831 5.05883i 0.145074 0.184477i
\(753\) −16.3554 + 5.66066i −0.596024 + 0.206286i
\(754\) −1.40400 + 2.72338i −0.0511307 + 0.0991798i
\(755\) 0.105889 + 0.122203i 0.00385371 + 0.00444742i
\(756\) 1.94451 + 0.133928i 0.0707212 + 0.00487093i
\(757\) −5.78690 2.64279i −0.210328 0.0960538i 0.307465 0.951559i \(-0.400519\pi\)
−0.517794 + 0.855506i \(0.673246\pi\)
\(758\) 24.2380 13.9938i 0.880364 0.508278i
\(759\) −5.34382 + 22.0630i −0.193968 + 0.800837i
\(760\) 1.87657 3.25032i 0.0680705 0.117902i
\(761\) −4.22889 44.2870i −0.153297 1.60540i −0.665407 0.746481i \(-0.731742\pi\)
0.512110 0.858920i \(-0.328864\pi\)
\(762\) −1.85213 + 6.30778i −0.0670956 + 0.228507i
\(763\) 28.6043 + 21.2956i 1.03554 + 0.770952i
\(764\) 1.08377 + 1.68638i 0.0392095 + 0.0610112i
\(765\) 4.34573 + 0.837570i 0.157120 + 0.0302824i
\(766\) −11.7004 9.20126i −0.422751 0.332455i
\(767\) −3.99150 + 16.4532i −0.144125 + 0.594089i
\(768\) −14.9703 0.713122i −0.540193 0.0257326i
\(769\) 3.06816 + 21.3395i 0.110641 + 0.769524i 0.967299 + 0.253639i \(0.0816275\pi\)
−0.856658 + 0.515884i \(0.827463\pi\)
\(770\) 11.6685 1.42631i 0.420502 0.0514007i
\(771\) −10.8287 23.7116i −0.389987 0.853953i
\(772\) −3.10050 + 2.43826i −0.111589 + 0.0877549i