Properties

Label 605.2.s.b.416.4
Level $605$
Weight $2$
Character 605.416
Analytic conductor $4.831$
Analytic rank $0$
Dimension $880$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 605 = 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 605.s (of order \(55\), degree \(40\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.83094932229\)
Analytic rank: \(0\)
Dimension: \(880\)
Relative dimension: \(22\) over \(\Q(\zeta_{55})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{55}]$

Embedding invariants

Embedding label 416.4
Character \(\chi\) \(=\) 605.416
Dual form 605.2.s.b.16.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.80070 + 0.206611i) q^{2} +(-1.29126 + 0.938155i) q^{3} +(1.25182 - 0.291098i) q^{4} +(-0.564443 - 0.825472i) q^{5} +(2.13134 - 1.95613i) q^{6} +(-0.0685099 + 0.0704951i) q^{7} +(1.22021 - 0.435369i) q^{8} +(-0.139834 + 0.430365i) q^{9} +O(q^{10})\) \(q+(-1.80070 + 0.206611i) q^{2} +(-1.29126 + 0.938155i) q^{3} +(1.25182 - 0.291098i) q^{4} +(-0.564443 - 0.825472i) q^{5} +(2.13134 - 1.95613i) q^{6} +(-0.0685099 + 0.0704951i) q^{7} +(1.22021 - 0.435369i) q^{8} +(-0.139834 + 0.430365i) q^{9} +(1.18695 + 1.36981i) q^{10} +(-0.376086 + 3.29523i) q^{11} +(-1.34333 + 1.55029i) q^{12} +(-2.20746 - 3.66065i) q^{13} +(0.108801 - 0.141096i) q^{14} +(1.50326 + 0.536363i) q^{15} +(-4.41399 + 2.17021i) q^{16} +(-3.22476 - 2.63687i) q^{17} +(0.162881 - 0.803851i) q^{18} +(-0.263287 + 0.0150553i) q^{19} +(-0.946875 - 0.869034i) q^{20} +(0.0223288 - 0.155300i) q^{21} +(-0.00361276 - 6.01144i) q^{22} +(0.379754 + 2.64125i) q^{23} +(-1.16716 + 1.70692i) q^{24} +(-0.362808 + 0.931864i) q^{25} +(4.73131 + 6.13567i) q^{26} +(-1.70284 - 5.24080i) q^{27} +(-0.0652411 + 0.108190i) q^{28} +(-0.892183 - 2.29155i) q^{29} +(-2.81775 - 0.655240i) q^{30} +(5.76378 - 2.43580i) q^{31} +(5.32012 - 3.41903i) q^{32} +(-2.60581 - 4.60783i) q^{33} +(6.35164 + 4.08195i) q^{34} +(0.0968617 + 0.0167626i) q^{35} +(-0.0497686 + 0.579445i) q^{36} +(-0.824959 - 9.60482i) q^{37} +(0.470990 - 0.0815081i) q^{38} +(6.28466 + 2.65592i) q^{39} +(-1.04812 - 0.761505i) q^{40} +(5.23917 + 2.95869i) q^{41} +(-0.00812075 + 0.284263i) q^{42} +(4.86190 + 1.42758i) q^{43} +(0.488444 + 4.23452i) q^{44} +(0.434182 - 0.127487i) q^{45} +(-1.22954 - 4.67764i) q^{46} +(2.13115 + 10.5176i) q^{47} +(3.66361 - 6.94331i) q^{48} +(0.199616 + 6.98749i) q^{49} +(0.460775 - 1.75297i) q^{50} +(6.63779 + 0.379563i) q^{51} +(-3.82895 - 3.93989i) q^{52} +(6.05615 + 2.97761i) q^{53} +(4.14912 + 9.08530i) q^{54} +(2.93240 - 1.54952i) q^{55} +(-0.0529049 + 0.115846i) q^{56} +(0.325847 - 0.266444i) q^{57} +(2.08002 + 3.94207i) q^{58} +(4.92121 - 2.77914i) q^{59} +(2.03795 + 0.233833i) q^{60} +(7.14248 + 0.819523i) q^{61} +(-9.87560 + 5.57701i) q^{62} +(-0.0207586 - 0.0393419i) q^{63} +(-1.25808 + 1.02873i) q^{64} +(-1.77578 + 3.88842i) q^{65} +(5.64433 + 7.75894i) q^{66} +(-6.40855 - 14.0328i) q^{67} +(-4.80440 - 2.36217i) q^{68} +(-2.96826 - 3.05427i) q^{69} +(-0.177882 - 0.0101717i) q^{70} +(2.93646 - 11.1715i) q^{71} +(0.0167411 + 0.586014i) q^{72} +(4.39767 - 8.33451i) q^{73} +(3.46997 + 17.1250i) q^{74} +(-0.405754 - 1.54365i) q^{75} +(-0.325205 + 0.0954888i) q^{76} +(-0.206532 - 0.252268i) q^{77} +(-11.8656 - 3.48404i) q^{78} +(0.439528 - 15.3855i) q^{79} +(4.28289 + 2.41866i) q^{80} +(6.01722 + 4.37177i) q^{81} +(-10.0455 - 4.24526i) q^{82} +(14.7312 - 2.54934i) q^{83} +(-0.0172560 - 0.200908i) q^{84} +(-0.356470 + 4.15031i) q^{85} +(-9.04979 - 1.56613i) q^{86} +(3.30187 + 2.12199i) q^{87} +(0.975739 + 4.18460i) q^{88} +(-8.67057 + 5.57224i) q^{89} +(-0.755493 + 0.319274i) q^{90} +(0.409291 + 0.0951765i) q^{91} +(1.24425 + 3.19582i) q^{92} +(-5.15739 + 8.55257i) q^{93} +(-6.01062 - 18.4988i) q^{94} +(0.161038 + 0.208838i) q^{95} +(-3.66207 + 9.40596i) q^{96} +(4.94458 - 7.23122i) q^{97} +(-1.80314 - 12.5411i) q^{98} +(-1.36556 - 0.622640i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} + O(q^{10}) \) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} - 6q^{10} + 5q^{11} - 5q^{12} - 26q^{13} - 108q^{14} - 12q^{15} + 34q^{16} - q^{17} - 14q^{18} + q^{19} + 19q^{20} - 10q^{21} + 275q^{22} - 51q^{23} + 283q^{24} + 22q^{25} - 16q^{27} - 4q^{28} - 19q^{29} + q^{30} - 34q^{31} - 122q^{32} + 19q^{33} + 52q^{34} + 8q^{35} - 21q^{36} - 109q^{37} - 10q^{38} - 9q^{39} - 64q^{40} + 4q^{41} - 49q^{42} - 97q^{43} + 17q^{44} - 80q^{45} - 91q^{46} + 166q^{47} - 159q^{48} + 175q^{49} + 4q^{50} - 112q^{51} - 128q^{52} - 141q^{53} - 37q^{54} - 5q^{55} + 79q^{56} - 204q^{57} - 190q^{58} + 9q^{59} - 22q^{60} + 2q^{61} - 105q^{62} - q^{63} - 176q^{64} - 14q^{65} - 112q^{66} - 13q^{67} - 35q^{68} - 53q^{69} + 24q^{70} - 50q^{71} + 705q^{72} + q^{73} + 40q^{74} - q^{75} - 148q^{76} - 104q^{77} - 187q^{78} - 83q^{79} - q^{80} - 238q^{81} - 54q^{82} - 151q^{83} + 4q^{84} - 29q^{85} - 39q^{86} - 74q^{87} - 143q^{88} - 52q^{89} - 28q^{90} - 188q^{91} - 253q^{92} + 122q^{93} - 187q^{94} + 122q^{95} - 155q^{96} + 283q^{97} - 92q^{98} + 172q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).

\(n\) \(122\) \(486\)
\(\chi(n)\) \(1\) \(e\left(\frac{53}{55}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.80070 + 0.206611i −1.27329 + 0.146096i −0.724155 0.689637i \(-0.757770\pi\)
−0.549135 + 0.835734i \(0.685043\pi\)
\(3\) −1.29126 + 0.938155i −0.745509 + 0.541644i −0.894432 0.447205i \(-0.852420\pi\)
0.148922 + 0.988849i \(0.452420\pi\)
\(4\) 1.25182 0.291098i 0.625910 0.145549i
\(5\) −0.564443 0.825472i −0.252427 0.369162i
\(6\) 2.13134 1.95613i 0.870117 0.798586i
\(7\) −0.0685099 + 0.0704951i −0.0258943 + 0.0266446i −0.729955 0.683495i \(-0.760459\pi\)
0.704061 + 0.710140i \(0.251368\pi\)
\(8\) 1.22021 0.435369i 0.431408 0.153926i
\(9\) −0.139834 + 0.430365i −0.0466113 + 0.143455i
\(10\) 1.18695 + 1.36981i 0.375346 + 0.433172i
\(11\) −0.376086 + 3.29523i −0.113394 + 0.993550i
\(12\) −1.34333 + 1.55029i −0.387786 + 0.447529i
\(13\) −2.20746 3.66065i −0.612238 1.01528i −0.995781 0.0917599i \(-0.970751\pi\)
0.383543 0.923523i \(-0.374704\pi\)
\(14\) 0.108801 0.141096i 0.0290783 0.0377094i
\(15\) 1.50326 + 0.536363i 0.388141 + 0.138488i
\(16\) −4.41399 + 2.17021i −1.10350 + 0.542553i
\(17\) −3.22476 2.63687i −0.782118 0.639535i 0.155250 0.987875i \(-0.450382\pi\)
−0.937368 + 0.348340i \(0.886745\pi\)
\(18\) 0.162881 0.803851i 0.0383915 0.189469i
\(19\) −0.263287 + 0.0150553i −0.0604021 + 0.00345392i −0.0872637 0.996185i \(-0.527812\pi\)
0.0268616 + 0.999639i \(0.491449\pi\)
\(20\) −0.946875 0.869034i −0.211728 0.194322i
\(21\) 0.0223288 0.155300i 0.00487255 0.0338893i
\(22\) −0.00361276 6.01144i −0.000770243 1.28164i
\(23\) 0.379754 + 2.64125i 0.0791842 + 0.550738i 0.990338 + 0.138673i \(0.0442835\pi\)
−0.911154 + 0.412066i \(0.864807\pi\)
\(24\) −1.16716 + 1.70692i −0.238246 + 0.348423i
\(25\) −0.362808 + 0.931864i −0.0725615 + 0.186373i
\(26\) 4.73131 + 6.13567i 0.927886 + 1.20330i
\(27\) −1.70284 5.24080i −0.327712 1.00859i
\(28\) −0.0652411 + 0.108190i −0.0123294 + 0.0204460i
\(29\) −0.892183 2.29155i −0.165674 0.425531i 0.824412 0.565990i \(-0.191506\pi\)
−0.990087 + 0.140459i \(0.955142\pi\)
\(30\) −2.81775 0.655240i −0.514449 0.119630i
\(31\) 5.76378 2.43580i 1.03521 0.437482i 0.195604 0.980683i \(-0.437333\pi\)
0.839603 + 0.543201i \(0.182788\pi\)
\(32\) 5.32012 3.41903i 0.940473 0.604405i
\(33\) −2.60581 4.60783i −0.453614 0.802120i
\(34\) 6.35164 + 4.08195i 1.08930 + 0.700049i
\(35\) 0.0968617 + 0.0167626i 0.0163726 + 0.00283339i
\(36\) −0.0497686 + 0.579445i −0.00829476 + 0.0965741i
\(37\) −0.824959 9.60482i −0.135622 1.57902i −0.675552 0.737312i \(-0.736095\pi\)
0.539930 0.841710i \(-0.318451\pi\)
\(38\) 0.470990 0.0815081i 0.0764047 0.0132224i
\(39\) 6.28466 + 2.65592i 1.00635 + 0.425288i
\(40\) −1.04812 0.761505i −0.165723 0.120405i
\(41\) 5.23917 + 2.95869i 0.818220 + 0.462070i 0.843189 0.537618i \(-0.180676\pi\)
−0.0249682 + 0.999688i \(0.507948\pi\)
\(42\) −0.00812075 + 0.284263i −0.00125306 + 0.0438628i
\(43\) 4.86190 + 1.42758i 0.741433 + 0.217704i 0.630571 0.776132i \(-0.282821\pi\)
0.110862 + 0.993836i \(0.464639\pi\)
\(44\) 0.488444 + 4.23452i 0.0736357 + 0.638377i
\(45\) 0.434182 0.127487i 0.0647241 0.0190047i
\(46\) −1.22954 4.67764i −0.181285 0.689681i
\(47\) 2.13115 + 10.5176i 0.310860 + 1.53415i 0.765475 + 0.643465i \(0.222504\pi\)
−0.454616 + 0.890688i \(0.650223\pi\)
\(48\) 3.66361 6.94331i 0.528797 1.00218i
\(49\) 0.199616 + 6.98749i 0.0285166 + 0.998212i
\(50\) 0.460775 1.75297i 0.0651635 0.247908i
\(51\) 6.63779 + 0.379563i 0.929477 + 0.0531494i
\(52\) −3.82895 3.93989i −0.530980 0.546365i
\(53\) 6.05615 + 2.97761i 0.831876 + 0.409006i 0.806904 0.590682i \(-0.201141\pi\)
0.0249715 + 0.999688i \(0.492051\pi\)
\(54\) 4.14912 + 9.08530i 0.564623 + 1.23635i
\(55\) 2.93240 1.54952i 0.395405 0.208938i
\(56\) −0.0529049 + 0.115846i −0.00706972 + 0.0154805i
\(57\) 0.325847 0.266444i 0.0431595 0.0352914i
\(58\) 2.08002 + 3.94207i 0.273120 + 0.517620i
\(59\) 4.92121 2.77914i 0.640687 0.361813i −0.136902 0.990585i \(-0.543715\pi\)
0.777590 + 0.628772i \(0.216442\pi\)
\(60\) 2.03795 + 0.233833i 0.263098 + 0.0301877i
\(61\) 7.14248 + 0.819523i 0.914500 + 0.104929i 0.558450 0.829538i \(-0.311396\pi\)
0.356050 + 0.934467i \(0.384123\pi\)
\(62\) −9.87560 + 5.57701i −1.25420 + 0.708281i
\(63\) −0.0207586 0.0393419i −0.00261533 0.00495661i
\(64\) −1.25808 + 1.02873i −0.157260 + 0.128591i
\(65\) −1.77578 + 3.88842i −0.220259 + 0.482300i
\(66\) 5.64433 + 7.75894i 0.694769 + 0.955060i
\(67\) −6.40855 14.0328i −0.782929 1.71437i −0.695866 0.718172i \(-0.744979\pi\)
−0.0870630 0.996203i \(-0.527748\pi\)
\(68\) −4.80440 2.36217i −0.582620 0.286455i
\(69\) −2.96826 3.05427i −0.357337 0.367691i
\(70\) −0.177882 0.0101717i −0.0212610 0.00121575i
\(71\) 2.93646 11.1715i 0.348494 1.32581i −0.529976 0.848012i \(-0.677799\pi\)
0.878470 0.477797i \(-0.158564\pi\)
\(72\) 0.0167411 + 0.586014i 0.00197295 + 0.0690624i
\(73\) 4.39767 8.33451i 0.514708 0.975480i −0.480434 0.877031i \(-0.659521\pi\)
0.995142 0.0984493i \(-0.0313882\pi\)
\(74\) 3.46997 + 17.1250i 0.403376 + 1.99074i
\(75\) −0.405754 1.54365i −0.0468524 0.178245i
\(76\) −0.325205 + 0.0954888i −0.0373036 + 0.0109533i
\(77\) −0.206532 0.252268i −0.0235365 0.0287487i
\(78\) −11.8656 3.48404i −1.34351 0.394490i
\(79\) 0.439528 15.3855i 0.0494508 1.73100i −0.475366 0.879788i \(-0.657684\pi\)
0.524817 0.851215i \(-0.324134\pi\)
\(80\) 4.28289 + 2.41866i 0.478842 + 0.270415i
\(81\) 6.01722 + 4.37177i 0.668580 + 0.485752i
\(82\) −10.0455 4.24526i −1.10934 0.468810i
\(83\) 14.7312 2.54934i 1.61696 0.279826i 0.711002 0.703190i \(-0.248242\pi\)
0.905960 + 0.423364i \(0.139151\pi\)
\(84\) −0.0172560 0.200908i −0.00188278 0.0219209i
\(85\) −0.356470 + 4.15031i −0.0386646 + 0.450164i
\(86\) −9.04979 1.56613i −0.975864 0.168880i
\(87\) 3.30187 + 2.12199i 0.353998 + 0.227501i
\(88\) 0.975739 + 4.18460i 0.104014 + 0.446080i
\(89\) −8.67057 + 5.57224i −0.919079 + 0.590656i −0.912390 0.409322i \(-0.865765\pi\)
−0.00668857 + 0.999978i \(0.502129\pi\)
\(90\) −0.755493 + 0.319274i −0.0796360 + 0.0336545i
\(91\) 0.409291 + 0.0951765i 0.0429053 + 0.00997721i
\(92\) 1.24425 + 3.19582i 0.129722 + 0.333187i
\(93\) −5.15739 + 8.55257i −0.534796 + 0.886860i
\(94\) −6.01062 18.4988i −0.619948 1.90801i
\(95\) 0.161038 + 0.208838i 0.0165222 + 0.0214263i
\(96\) −3.66207 + 9.40596i −0.373759 + 0.959992i
\(97\) 4.94458 7.23122i 0.502046 0.734219i −0.488324 0.872662i \(-0.662392\pi\)
0.990370 + 0.138443i \(0.0442099\pi\)
\(98\) −1.80314 12.5411i −0.182145 1.26685i
\(99\) −1.36556 0.622640i −0.137244 0.0625777i
\(100\) −0.182906 + 1.27214i −0.0182906 + 0.127214i
\(101\) 0.208736 + 0.191576i 0.0207700 + 0.0190625i 0.686493 0.727137i \(-0.259149\pi\)
−0.665723 + 0.746199i \(0.731877\pi\)
\(102\) −12.0311 + 0.687964i −1.19126 + 0.0681186i
\(103\) −1.83204 + 9.04149i −0.180517 + 0.890884i 0.782750 + 0.622337i \(0.213816\pi\)
−0.963266 + 0.268548i \(0.913456\pi\)
\(104\) −4.28729 3.50570i −0.420403 0.343762i
\(105\) −0.140799 + 0.0692264i −0.0137406 + 0.00675581i
\(106\) −11.5205 4.11052i −1.11897 0.399249i
\(107\) −2.08371 + 2.70220i −0.201439 + 0.261231i −0.881776 0.471669i \(-0.843652\pi\)
0.680336 + 0.732900i \(0.261834\pi\)
\(108\) −3.65724 6.06485i −0.351918 0.583590i
\(109\) 7.17490 8.28028i 0.687231 0.793107i −0.299737 0.954022i \(-0.596899\pi\)
0.986968 + 0.160915i \(0.0514445\pi\)
\(110\) −4.96024 + 3.39610i −0.472940 + 0.323805i
\(111\) 10.0760 + 11.6284i 0.956376 + 1.10372i
\(112\) 0.149413 0.459845i 0.0141182 0.0434513i
\(113\) −7.80481 + 2.78475i −0.734215 + 0.261967i −0.676579 0.736370i \(-0.736538\pi\)
−0.0576362 + 0.998338i \(0.518356\pi\)
\(114\) −0.531704 + 0.547110i −0.0497986 + 0.0512416i
\(115\) 1.96593 1.80431i 0.183324 0.168253i
\(116\) −1.78392 2.60890i −0.165633 0.242230i
\(117\) 1.88409 0.438127i 0.174185 0.0405049i
\(118\) −8.28744 + 6.02118i −0.762921 + 0.554295i
\(119\) 0.406814 0.0466776i 0.0372926 0.00427893i
\(120\) 2.06781 0.188764
\(121\) −10.7171 2.47858i −0.974283 0.225326i
\(122\) −13.0308 −1.17975
\(123\) −9.54084 + 1.09471i −0.860269 + 0.0987066i
\(124\) 6.50617 4.72701i 0.584271 0.424498i
\(125\) 0.974012 0.226497i 0.0871183 0.0202585i
\(126\) 0.0455085 + 0.0665541i 0.00405422 + 0.00592911i
\(127\) 0.448785 0.411891i 0.0398232 0.0365494i −0.656016 0.754747i \(-0.727760\pi\)
0.695840 + 0.718197i \(0.255032\pi\)
\(128\) −6.76203 + 6.95797i −0.597685 + 0.615003i
\(129\) −7.61727 + 2.71784i −0.670663 + 0.239292i
\(130\) 2.39427 7.36880i 0.209991 0.646286i
\(131\) 8.76183 + 10.1117i 0.765525 + 0.883463i 0.995976 0.0896213i \(-0.0285657\pi\)
−0.230451 + 0.973084i \(0.574020\pi\)
\(132\) −4.60334 5.00963i −0.400670 0.436032i
\(133\) 0.0169764 0.0195918i 0.00147204 0.00169883i
\(134\) 14.4392 + 23.9448i 1.24736 + 2.06851i
\(135\) −3.36498 + 4.36378i −0.289611 + 0.375574i
\(136\) −5.08288 1.81357i −0.435853 0.155512i
\(137\) −17.9084 + 8.80497i −1.53002 + 0.752259i −0.995666 0.0930033i \(-0.970353\pi\)
−0.534352 + 0.845262i \(0.679444\pi\)
\(138\) 5.97601 + 4.88656i 0.508712 + 0.415971i
\(139\) 1.76518 8.71151i 0.149721 0.738901i −0.832922 0.553391i \(-0.813334\pi\)
0.982642 0.185510i \(-0.0593937\pi\)
\(140\) 0.126133 0.00721254i 0.0106602 0.000609571i
\(141\) −12.6190 11.5816i −1.06271 0.975350i
\(142\) −2.97955 + 20.7232i −0.250038 + 1.73905i
\(143\) 12.8929 5.89736i 1.07816 0.493162i
\(144\) −0.316757 2.20309i −0.0263964 0.183591i
\(145\) −1.38803 + 2.02992i −0.115269 + 0.168576i
\(146\) −6.19689 + 15.9166i −0.512858 + 1.31727i
\(147\) −6.81310 8.83539i −0.561935 0.728731i
\(148\) −3.82865 11.7834i −0.314713 0.968586i
\(149\) 3.59950 5.96910i 0.294883 0.489008i −0.673261 0.739405i \(-0.735107\pi\)
0.968143 + 0.250397i \(0.0805613\pi\)
\(150\) 1.04958 + 2.69582i 0.0856977 + 0.220113i
\(151\) 6.99438 + 1.62647i 0.569195 + 0.132361i 0.501210 0.865326i \(-0.332889\pi\)
0.0679848 + 0.997686i \(0.478343\pi\)
\(152\) −0.314709 + 0.132997i −0.0255263 + 0.0107875i
\(153\) 1.58575 1.01910i 0.128200 0.0823892i
\(154\) 0.424024 + 0.411589i 0.0341689 + 0.0331668i
\(155\) −5.26401 3.38297i −0.422815 0.271727i
\(156\) 8.64040 + 1.49528i 0.691786 + 0.119718i
\(157\) −0.619479 + 7.21246i −0.0494398 + 0.575617i 0.929137 + 0.369735i \(0.120552\pi\)
−0.978577 + 0.205882i \(0.933994\pi\)
\(158\) 2.38736 + 27.7955i 0.189928 + 2.21129i
\(159\) −10.6135 + 1.83674i −0.841707 + 0.145663i
\(160\) −5.82522 2.46176i −0.460524 0.194619i
\(161\) −0.212212 0.154181i −0.0167246 0.0121512i
\(162\) −11.7385 6.62903i −0.922263 0.520826i
\(163\) −0.149437 + 5.23098i −0.0117048 + 0.409722i 0.972522 + 0.232811i \(0.0747923\pi\)
−0.984227 + 0.176911i \(0.943389\pi\)
\(164\) 7.41976 + 2.17864i 0.579386 + 0.170123i
\(165\) −2.33280 + 4.75188i −0.181608 + 0.369934i
\(166\) −25.9998 + 7.63424i −2.01798 + 0.592532i
\(167\) −6.51061 24.7689i −0.503806 1.91668i −0.382130 0.924108i \(-0.624809\pi\)
−0.121676 0.992570i \(-0.538827\pi\)
\(168\) −0.0403672 0.199220i −0.00311440 0.0153701i
\(169\) −2.46086 + 4.66384i −0.189297 + 0.358757i
\(170\) −0.215604 7.54713i −0.0165361 0.578838i
\(171\) 0.0303372 0.115415i 0.00231994 0.00882597i
\(172\) 6.50179 + 0.371786i 0.495757 + 0.0283484i
\(173\) 14.6135 + 15.0369i 1.11104 + 1.14324i 0.988569 + 0.150766i \(0.0481741\pi\)
0.122475 + 0.992472i \(0.460917\pi\)
\(174\) −6.38412 3.13886i −0.483979 0.237957i
\(175\) −0.0408359 0.0894181i −0.00308690 0.00675937i
\(176\) −5.49131 15.3613i −0.413923 1.15790i
\(177\) −3.74730 + 8.20545i −0.281665 + 0.616760i
\(178\) 14.4618 11.8254i 1.08396 0.886350i
\(179\) −6.99269 13.2526i −0.522658 0.990548i −0.994081 0.108640i \(-0.965350\pi\)
0.471423 0.881907i \(-0.343741\pi\)
\(180\) 0.506407 0.285981i 0.0377453 0.0213158i
\(181\) −0.638744 0.0732890i −0.0474775 0.00544753i 0.0902201 0.995922i \(-0.471243\pi\)
−0.137698 + 0.990474i \(0.543970\pi\)
\(182\) −0.756676 0.0868205i −0.0560885 0.00643556i
\(183\) −9.99163 + 5.64253i −0.738603 + 0.417108i
\(184\) 1.61330 + 3.05754i 0.118934 + 0.225405i
\(185\) −7.46287 + 6.10236i −0.548681 + 0.448654i
\(186\) 7.51987 16.4662i 0.551384 1.20736i
\(187\) 9.90189 9.63463i 0.724098 0.704554i
\(188\) 5.72947 + 12.5458i 0.417865 + 0.914996i
\(189\) 0.486112 + 0.239005i 0.0353594 + 0.0173851i
\(190\) −0.333130 0.342783i −0.0241678 0.0248681i
\(191\) −8.66844 0.495679i −0.627226 0.0358661i −0.259414 0.965766i \(-0.583529\pi\)
−0.367812 + 0.929900i \(0.619893\pi\)
\(192\) 0.659404 2.50863i 0.0475884 0.181045i
\(193\) −0.271233 9.49441i −0.0195238 0.683423i −0.949133 0.314876i \(-0.898037\pi\)
0.929609 0.368547i \(-0.120145\pi\)
\(194\) −7.40967 + 14.0429i −0.531983 + 1.00822i
\(195\) −1.35495 6.68693i −0.0970298 0.478861i
\(196\) 2.28393 + 8.68897i 0.163138 + 0.620641i
\(197\) −2.97086 + 0.872323i −0.211665 + 0.0621504i −0.385846 0.922563i \(-0.626090\pi\)
0.174181 + 0.984714i \(0.444272\pi\)
\(198\) 2.58762 + 0.839049i 0.183894 + 0.0596286i
\(199\) 8.73506 + 2.56484i 0.619212 + 0.181817i 0.576268 0.817261i \(-0.304508\pi\)
0.0429433 + 0.999078i \(0.486327\pi\)
\(200\) −0.0369958 + 1.29502i −0.00261600 + 0.0915719i
\(201\) 21.4400 + 12.1077i 1.51226 + 0.854013i
\(202\) −0.415453 0.301844i −0.0292312 0.0212377i
\(203\) 0.222667 + 0.0940997i 0.0156281 + 0.00660451i
\(204\) 8.41981 1.45711i 0.589505 0.102018i
\(205\) −0.514894 5.99480i −0.0359617 0.418695i
\(206\) 1.43089 16.6596i 0.0996949 1.16073i
\(207\) −1.18980 0.205904i −0.0826970 0.0143113i
\(208\) 17.6881 + 11.3674i 1.22645 + 0.788190i
\(209\) 0.0494079 0.873253i 0.00341761 0.0604041i
\(210\) 0.239235 0.153747i 0.0165088 0.0106096i
\(211\) −5.55155 + 2.34610i −0.382184 + 0.161512i −0.571893 0.820328i \(-0.693791\pi\)
0.189709 + 0.981840i \(0.439245\pi\)
\(212\) 8.44798 + 1.96449i 0.580210 + 0.134922i
\(213\) 6.68883 + 17.1801i 0.458311 + 1.17716i
\(214\) 3.19383 5.29637i 0.218326 0.362053i
\(215\) −1.56584 4.81915i −0.106789 0.328663i
\(216\) −4.35950 5.65350i −0.296626 0.384672i
\(217\) −0.223165 + 0.573195i −0.0151494 + 0.0389110i
\(218\) −11.2091 + 16.3927i −0.759174 + 1.11026i
\(219\) 2.14053 + 14.8877i 0.144644 + 1.00602i
\(220\) 3.21978 2.79334i 0.217077 0.188327i
\(221\) −2.53416 + 17.6255i −0.170466 + 1.18562i
\(222\) −20.5465 18.8574i −1.37899 1.26563i
\(223\) 6.06223 0.346651i 0.405957 0.0232135i 0.147082 0.989124i \(-0.453012\pi\)
0.258875 + 0.965911i \(0.416648\pi\)
\(224\) −0.123456 + 0.609280i −0.00824876 + 0.0407092i
\(225\) −0.350309 0.286446i −0.0233539 0.0190964i
\(226\) 13.4788 6.62707i 0.896596 0.440826i
\(227\) 20.6334 + 7.36199i 1.36949 + 0.488632i 0.915479 0.402365i \(-0.131812\pi\)
0.454009 + 0.890997i \(0.349993\pi\)
\(228\) 0.330341 0.428393i 0.0218773 0.0283710i
\(229\) −3.94933 6.54923i −0.260979 0.432785i 0.698068 0.716031i \(-0.254043\pi\)
−0.959047 + 0.283246i \(0.908589\pi\)
\(230\) −3.16726 + 3.65521i −0.208843 + 0.241018i
\(231\) 0.503353 + 0.131985i 0.0331182 + 0.00868398i
\(232\) −2.08632 2.40774i −0.136974 0.158076i
\(233\) 6.11746 18.8276i 0.400768 1.23344i −0.523610 0.851958i \(-0.675415\pi\)
0.924378 0.381478i \(-0.124585\pi\)
\(234\) −3.30217 + 1.17821i −0.215870 + 0.0770222i
\(235\) 7.47909 7.69580i 0.487882 0.502019i
\(236\) 5.35147 4.91154i 0.348351 0.319714i
\(237\) 13.8664 + 20.2790i 0.900722 + 1.31726i
\(238\) −0.722908 + 0.168105i −0.0468591 + 0.0108966i
\(239\) −1.92707 + 1.40010i −0.124652 + 0.0905651i −0.648364 0.761330i \(-0.724547\pi\)
0.523712 + 0.851895i \(0.324547\pi\)
\(240\) −7.79941 + 0.894899i −0.503450 + 0.0577655i
\(241\) −21.6560 −1.39498 −0.697492 0.716593i \(-0.745701\pi\)
−0.697492 + 0.716593i \(0.745701\pi\)
\(242\) 19.8105 + 2.24892i 1.27346 + 0.144566i
\(243\) 4.66032 0.298959
\(244\) 9.17966 1.05327i 0.587667 0.0674285i
\(245\) 5.65530 4.10882i 0.361304 0.262503i
\(246\) 16.9540 3.94249i 1.08095 0.251364i
\(247\) 0.636306 + 0.930567i 0.0404872 + 0.0592106i
\(248\) 5.97254 5.48155i 0.379257 0.348079i
\(249\) −16.6302 + 17.1120i −1.05389 + 1.08443i
\(250\) −1.70711 + 0.609095i −0.107967 + 0.0385226i
\(251\) 6.49148 19.9787i 0.409738 1.26104i −0.507135 0.861867i \(-0.669295\pi\)
0.916873 0.399178i \(-0.130705\pi\)
\(252\) −0.0374384 0.0432062i −0.00235840 0.00272173i
\(253\) −8.84635 + 0.258041i −0.556165 + 0.0162229i
\(254\) −0.723027 + 0.834417i −0.0453667 + 0.0523560i
\(255\) −3.43334 5.69355i −0.215004 0.356544i
\(256\) 12.7236 16.5002i 0.795224 1.03127i
\(257\) −13.8058 4.92591i −0.861183 0.307270i −0.131718 0.991287i \(-0.542049\pi\)
−0.729465 + 0.684018i \(0.760231\pi\)
\(258\) 13.1549 6.46783i 0.818989 0.402670i
\(259\) 0.733610 + 0.599870i 0.0455843 + 0.0372741i
\(260\) −1.09105 + 5.38454i −0.0676640 + 0.333935i
\(261\) 1.11096 0.0635271i 0.0687668 0.00393223i
\(262\) −17.8666 16.3979i −1.10381 1.01306i
\(263\) 0.371273 2.58226i 0.0228937 0.159229i −0.975168 0.221468i \(-0.928915\pi\)
0.998061 + 0.0622392i \(0.0198242\pi\)
\(264\) −5.18574 4.48801i −0.319160 0.276218i
\(265\) −0.960420 6.67987i −0.0589981 0.410341i
\(266\) −0.0265216 + 0.0387866i −0.00162614 + 0.00237816i
\(267\) 5.96834 15.3296i 0.365256 0.938153i
\(268\) −12.1073 15.7010i −0.739569 0.959090i
\(269\) 4.60780 + 14.1814i 0.280943 + 0.864653i 0.987585 + 0.157082i \(0.0502089\pi\)
−0.706643 + 0.707571i \(0.749791\pi\)
\(270\) 5.15772 8.55312i 0.313889 0.520526i
\(271\) 2.76886 + 7.11176i 0.168196 + 0.432009i 0.990582 0.136922i \(-0.0437209\pi\)
−0.822386 + 0.568931i \(0.807357\pi\)
\(272\) 19.9566 + 4.64071i 1.21005 + 0.281384i
\(273\) −0.617791 + 0.261081i −0.0373904 + 0.0158013i
\(274\) 30.4285 19.5552i 1.83825 1.18137i
\(275\) −2.93426 1.54600i −0.176943 0.0932271i
\(276\) −4.60482 2.95934i −0.277178 0.178131i
\(277\) 13.0231 + 2.25373i 0.782482 + 0.135414i 0.547745 0.836645i \(-0.315486\pi\)
0.234737 + 0.972059i \(0.424577\pi\)
\(278\) −1.37867 + 16.0516i −0.0826871 + 0.962708i
\(279\) 0.242308 + 2.82114i 0.0145066 + 0.168897i
\(280\) 0.125489 0.0217168i 0.00749941 0.00129782i
\(281\) −3.49462 1.47684i −0.208472 0.0881009i 0.282534 0.959257i \(-0.408825\pi\)
−0.491006 + 0.871156i \(0.663371\pi\)
\(282\) 25.1160 + 18.2479i 1.49564 + 1.08664i
\(283\) 8.58845 + 4.85012i 0.510531 + 0.288310i 0.725394 0.688334i \(-0.241658\pi\)
−0.214863 + 0.976644i \(0.568931\pi\)
\(284\) 0.423929 14.8395i 0.0251556 0.880560i
\(285\) −0.403864 0.118585i −0.0239229 0.00702438i
\(286\) −21.9978 + 13.2832i −1.30076 + 0.785453i
\(287\) −0.567508 + 0.166635i −0.0334990 + 0.00983618i
\(288\) 0.727498 + 2.76769i 0.0428682 + 0.163088i
\(289\) 0.0699314 + 0.345125i 0.00411361 + 0.0203015i
\(290\) 2.08002 3.94207i 0.122143 0.231487i
\(291\) 0.399267 + 13.9762i 0.0234054 + 0.819297i
\(292\) 3.07893 11.7135i 0.180181 0.685478i
\(293\) −15.2227 0.870467i −0.889321 0.0508532i −0.393547 0.919305i \(-0.628752\pi\)
−0.495774 + 0.868451i \(0.665116\pi\)
\(294\) 14.0939 + 14.5023i 0.821971 + 0.845788i
\(295\) −5.07185 2.49366i −0.295294 0.145186i
\(296\) −5.18826 11.3607i −0.301562 0.660328i
\(297\) 17.9101 3.64026i 1.03925 0.211229i
\(298\) −5.24835 + 11.4923i −0.304029 + 0.665730i
\(299\) 8.83041 7.22059i 0.510676 0.417577i
\(300\) −0.957285 1.81426i −0.0552689 0.104746i
\(301\) −0.433726 + 0.244936i −0.0249995 + 0.0141179i
\(302\) −12.9309 1.48368i −0.744087 0.0853760i
\(303\) −0.449260 0.0515478i −0.0258093 0.00296134i
\(304\) 1.12947 0.637841i 0.0647796 0.0365827i
\(305\) −3.35503 6.35849i −0.192108 0.364086i
\(306\) −2.64490 + 2.16273i −0.151199 + 0.123635i
\(307\) 3.41970 7.48811i 0.195173 0.427369i −0.786591 0.617475i \(-0.788156\pi\)
0.981764 + 0.190106i \(0.0608831\pi\)
\(308\) −0.331976 0.255674i −0.0189161 0.0145684i
\(309\) −6.11668 13.3937i −0.347966 0.761938i
\(310\) 10.1779 + 5.00413i 0.578065 + 0.284215i
\(311\) 10.3644 + 10.6647i 0.587712 + 0.604741i 0.944125 0.329587i \(-0.106910\pi\)
−0.356414 + 0.934328i \(0.616001\pi\)
\(312\) 8.82489 + 0.504626i 0.499611 + 0.0285688i
\(313\) −0.100331 + 0.381699i −0.00567105 + 0.0215749i −0.969922 0.243415i \(-0.921732\pi\)
0.964251 + 0.264990i \(0.0853687\pi\)
\(314\) −0.374680 13.1155i −0.0211444 0.740150i
\(315\) −0.0207586 + 0.0393419i −0.00116961 + 0.00221666i
\(316\) −3.92848 19.3878i −0.220994 1.09065i
\(317\) −3.81430 14.5111i −0.214232 0.815025i −0.984218 0.176963i \(-0.943373\pi\)
0.769985 0.638062i \(-0.220264\pi\)
\(318\) 18.7323 5.50030i 1.05046 0.308441i
\(319\) 7.88674 2.07813i 0.441573 0.116353i
\(320\) 1.55930 + 0.457853i 0.0871677 + 0.0255948i
\(321\) 0.155525 5.44408i 0.00868055 0.303859i
\(322\) 0.413986 + 0.233789i 0.0230706 + 0.0130285i
\(323\) 0.888734 + 0.645703i 0.0494505 + 0.0359279i
\(324\) 8.80509 + 3.72106i 0.489172 + 0.206726i
\(325\) 4.21211 0.728935i 0.233646 0.0404340i
\(326\) −0.811689 9.45032i −0.0449553 0.523405i
\(327\) −1.49648 + 17.4232i −0.0827553 + 0.963503i
\(328\) 7.68099 + 1.32925i 0.424112 + 0.0733954i
\(329\) −0.887445 0.570326i −0.0489264 0.0314431i
\(330\) 3.21889 9.03872i 0.177194 0.497565i
\(331\) 9.18509 5.90290i 0.504858 0.324453i −0.263299 0.964714i \(-0.584810\pi\)
0.768157 + 0.640262i \(0.221174\pi\)
\(332\) 17.6987 7.47954i 0.971344 0.410493i
\(333\) 4.24893 + 0.988047i 0.232840 + 0.0541447i
\(334\) 16.8412 + 43.2563i 0.921511 + 2.36688i
\(335\) −7.96639 + 13.2108i −0.435250 + 0.721782i
\(336\) 0.238476 + 0.733952i 0.0130099 + 0.0400404i
\(337\) 5.26945 + 6.83354i 0.287045 + 0.372247i 0.913241 0.407419i \(-0.133571\pi\)
−0.626196 + 0.779665i \(0.715389\pi\)
\(338\) 3.46767 8.90663i 0.188616 0.484457i
\(339\) 7.46551 10.9180i 0.405471 0.592982i
\(340\) 0.761911 + 5.29921i 0.0413204 + 0.287390i
\(341\) 5.85883 + 19.9091i 0.317274 + 1.07814i
\(342\) −0.0307823 + 0.214095i −0.00166451 + 0.0115769i
\(343\) −1.01322 0.929923i −0.0547086 0.0502111i
\(344\) 6.55405 0.374774i 0.353371 0.0202065i
\(345\) −0.845798 + 4.17418i −0.0455363 + 0.224730i
\(346\) −29.4214 24.0578i −1.58170 1.29335i
\(347\) −27.1666 + 13.3569i −1.45838 + 0.717038i −0.986368 0.164554i \(-0.947381\pi\)
−0.472013 + 0.881592i \(0.656472\pi\)
\(348\) 4.75106 + 1.69517i 0.254684 + 0.0908709i
\(349\) −6.06433 + 7.86436i −0.324616 + 0.420970i −0.925725 0.378198i \(-0.876544\pi\)
0.601109 + 0.799167i \(0.294726\pi\)
\(350\) 0.0920081 + 0.152578i 0.00491804 + 0.00815565i
\(351\) −15.4258 + 17.8023i −0.823369 + 0.950219i
\(352\) 9.26569 + 18.8169i 0.493863 + 1.00294i
\(353\) −23.9002 27.5823i −1.27208 1.46806i −0.815922 0.578162i \(-0.803770\pi\)
−0.456160 0.889898i \(-0.650775\pi\)
\(354\) 5.05244 15.5498i 0.268534 0.826464i
\(355\) −10.8792 + 3.88169i −0.577408 + 0.206019i
\(356\) −9.23193 + 9.49943i −0.489291 + 0.503469i
\(357\) −0.481512 + 0.441928i −0.0254843 + 0.0233893i
\(358\) 15.3299 + 22.4193i 0.810211 + 1.18490i
\(359\) 13.5945 3.16128i 0.717493 0.166846i 0.148172 0.988962i \(-0.452661\pi\)
0.569320 + 0.822116i \(0.307206\pi\)
\(360\) 0.474288 0.344591i 0.0249972 0.0181615i
\(361\) −18.8071 + 2.15791i −0.989845 + 0.113574i
\(362\) 1.16533 0.0612484
\(363\) 16.1639 6.85382i 0.848384 0.359732i
\(364\) 0.540064 0.0283071
\(365\) −9.36213 + 1.07420i −0.490036 + 0.0562264i
\(366\) 16.8262 12.2249i 0.879517 0.639007i
\(367\) −16.4503 + 3.82535i −0.858698 + 0.199682i −0.632653 0.774435i \(-0.718034\pi\)
−0.226045 + 0.974117i \(0.572580\pi\)
\(368\) −7.40830 10.8343i −0.386184 0.564777i
\(369\) −2.00593 + 1.84103i −0.104425 + 0.0958400i
\(370\) 12.1776 12.5304i 0.633083 0.651427i
\(371\) −0.624813 + 0.222933i −0.0324387 + 0.0115741i
\(372\) −3.96649 + 12.2076i −0.205653 + 0.632934i
\(373\) −13.3631 15.4218i −0.691915 0.798512i 0.295721 0.955274i \(-0.404440\pi\)
−0.987636 + 0.156762i \(0.949895\pi\)
\(374\) −15.8397 + 19.3950i −0.819053 + 1.00289i
\(375\) −1.04521 + 1.20624i −0.0539746 + 0.0622900i
\(376\) 7.17948 + 11.9058i 0.370254 + 0.613997i
\(377\) −6.41913 + 8.32448i −0.330602 + 0.428733i
\(378\) −0.924725 0.329941i −0.0475627 0.0169703i
\(379\) −27.0861 + 13.3173i −1.39132 + 0.684066i −0.974388 0.224872i \(-0.927804\pi\)
−0.416932 + 0.908938i \(0.636895\pi\)
\(380\) 0.262383 + 0.214549i 0.0134600 + 0.0110062i
\(381\) −0.193080 + 0.952888i −0.00989179 + 0.0488179i
\(382\) 15.7117 0.898427i 0.803880 0.0459675i
\(383\) 5.95985 + 5.46990i 0.304534 + 0.279499i 0.813843 0.581085i \(-0.197372\pi\)
−0.509309 + 0.860584i \(0.670099\pi\)
\(384\) 2.20389 15.3284i 0.112467 0.782223i
\(385\) −0.0916649 + 0.312878i −0.00467168 + 0.0159457i
\(386\) 2.45006 + 17.0406i 0.124705 + 0.867342i
\(387\) −1.29424 + 1.89277i −0.0657899 + 0.0962147i
\(388\) 4.08473 10.4915i 0.207371 0.532627i
\(389\) −11.7171 15.1950i −0.594079 0.770415i 0.394860 0.918741i \(-0.370793\pi\)
−0.988938 + 0.148326i \(0.952611\pi\)
\(390\) 3.82145 + 11.7612i 0.193507 + 0.595553i
\(391\) 5.74001 9.51875i 0.290285 0.481384i
\(392\) 3.28571 + 8.43927i 0.165953 + 0.426248i
\(393\) −20.8001 4.83687i −1.04923 0.243988i
\(394\) 5.16940 2.18461i 0.260431 0.110059i
\(395\) −12.9484 + 8.32142i −0.651504 + 0.418696i
\(396\) −1.89069 0.381920i −0.0950107 0.0191922i
\(397\) 21.9492 + 14.1059i 1.10160 + 0.707956i 0.959447 0.281889i \(-0.0909610\pi\)
0.142153 + 0.989845i \(0.454597\pi\)
\(398\) −16.2592 2.81376i −0.814998 0.141041i
\(399\) −0.00354079 + 0.0412247i −0.000177261 + 0.00206382i
\(400\) −0.420913 4.90061i −0.0210457 0.245030i
\(401\) 28.8050 4.98489i 1.43845 0.248934i 0.602667 0.797993i \(-0.294105\pi\)
0.835784 + 0.549059i \(0.185014\pi\)
\(402\) −41.1087 17.3727i −2.05032 0.866470i
\(403\) −21.6399 15.7223i −1.07796 0.783184i
\(404\) 0.317067 + 0.179056i 0.0157747 + 0.00890837i
\(405\) 0.212391 7.43466i 0.0105538 0.369431i
\(406\) −0.420399 0.123440i −0.0208640 0.00612624i
\(407\) 31.9604 + 0.893811i 1.58422 + 0.0443046i
\(408\) 8.26473 2.42674i 0.409165 0.120142i
\(409\) 2.10325 + 8.00158i 0.103999 + 0.395652i 0.998698 0.0510172i \(-0.0162463\pi\)
−0.894699 + 0.446670i \(0.852610\pi\)
\(410\) 2.16577 + 10.6885i 0.106960 + 0.527866i
\(411\) 14.8640 28.1704i 0.733186 1.38954i
\(412\) 0.338574 + 11.8516i 0.0166803 + 0.583888i
\(413\) −0.141237 + 0.537320i −0.00694980 + 0.0264398i
\(414\) 2.18502 + 0.124944i 0.107388 + 0.00614067i
\(415\) −10.4193 10.7213i −0.511465 0.526285i
\(416\) −24.2598 11.9278i −1.18944 0.584806i
\(417\) 5.89344 + 12.9048i 0.288603 + 0.631953i
\(418\) 0.0914550 + 1.58268i 0.00447321 + 0.0774113i
\(419\) 11.0155 24.1207i 0.538144 1.17837i −0.423958 0.905682i \(-0.639359\pi\)
0.962102 0.272690i \(-0.0879132\pi\)
\(420\) −0.156104 + 0.127646i −0.00761709 + 0.00622847i
\(421\) −7.86751 14.9106i −0.383439 0.726698i 0.614630 0.788816i \(-0.289305\pi\)
−0.998069 + 0.0621179i \(0.980215\pi\)
\(422\) 9.51196 5.37165i 0.463035 0.261488i
\(423\) −4.82442 0.553551i −0.234571 0.0269146i
\(424\) 8.68611 + 0.996638i 0.421835 + 0.0484010i
\(425\) 3.62717 2.04836i 0.175944 0.0993599i
\(426\) −15.5942 29.5543i −0.755542 1.43191i
\(427\) −0.547103 + 0.447364i −0.0264762 + 0.0216495i
\(428\) −1.82182 + 3.98923i −0.0880610 + 0.192827i
\(429\) −11.1155 + 19.7106i −0.536659 + 0.951635i
\(430\) 3.81530 + 8.35434i 0.183990 + 0.402882i
\(431\) 21.4751 + 10.5586i 1.03442 + 0.508589i 0.877779 0.479067i \(-0.159025\pi\)
0.156640 + 0.987656i \(0.449934\pi\)
\(432\) 18.8900 + 19.4373i 0.908844 + 0.935178i
\(433\) −30.1585 1.72452i −1.44932 0.0828754i −0.685393 0.728173i \(-0.740370\pi\)
−0.763931 + 0.645298i \(0.776733\pi\)
\(434\) 0.283425 1.07826i 0.0136049 0.0517582i
\(435\) −0.112081 3.92335i −0.00537387 0.188110i
\(436\) 6.57131 12.4540i 0.314709 0.596439i
\(437\) −0.139749 0.689688i −0.00668510 0.0329922i
\(438\) −6.93043 26.3661i −0.331149 1.25982i
\(439\) 12.2592 3.59963i 0.585100 0.171801i 0.0242323 0.999706i \(-0.492286\pi\)
0.560868 + 0.827906i \(0.310468\pi\)
\(440\) 2.90352 3.16742i 0.138420 0.151001i
\(441\) −3.03508 0.891180i −0.144528 0.0424372i
\(442\) 0.921648 32.2619i 0.0438383 1.53454i
\(443\) 18.4614 + 10.4256i 0.877127 + 0.495337i 0.863372 0.504569i \(-0.168348\pi\)
0.0137559 + 0.999905i \(0.495621\pi\)
\(444\) 15.9984 + 11.6235i 0.759251 + 0.551628i
\(445\) 9.49377 + 4.01210i 0.450048 + 0.190192i
\(446\) −10.8447 + 1.87674i −0.513509 + 0.0888663i
\(447\) 0.952053 + 11.0846i 0.0450306 + 0.524281i
\(448\) 0.0136709 0.159167i 0.000645887 0.00751993i
\(449\) 10.9735 + 1.89904i 0.517871 + 0.0896211i 0.423465 0.905913i \(-0.360814\pi\)
0.0944065 + 0.995534i \(0.469905\pi\)
\(450\) 0.689985 + 0.443426i 0.0325262 + 0.0209033i
\(451\) −11.7200 + 16.1515i −0.551872 + 0.760547i
\(452\) −8.95958 + 5.75797i −0.421423 + 0.270832i
\(453\) −10.5574 + 4.46161i −0.496032 + 0.209625i
\(454\) −38.6757 8.99366i −1.81514 0.422093i
\(455\) −0.152456 0.391580i −0.00714724 0.0183575i
\(456\) 0.281600 0.466980i 0.0131871 0.0218684i
\(457\) 10.2282 + 31.4792i 0.478455 + 1.47253i 0.841241 + 0.540661i \(0.181826\pi\)
−0.362786 + 0.931873i \(0.618174\pi\)
\(458\) 8.46472 + 10.9772i 0.395530 + 0.512933i
\(459\) −8.32807 + 21.3905i −0.388721 + 0.998422i
\(460\) 1.93575 2.83095i 0.0902550 0.131994i
\(461\) −3.10535 21.5982i −0.144631 1.00593i −0.924826 0.380392i \(-0.875789\pi\)
0.780195 0.625537i \(-0.215120\pi\)
\(462\) −0.933660 0.133667i −0.0434378 0.00621877i
\(463\) −0.863202 + 6.00370i −0.0401164 + 0.279016i −0.999999 0.00138635i \(-0.999559\pi\)
0.959883 + 0.280402i \(0.0904678\pi\)
\(464\) 8.91125 + 8.17867i 0.413694 + 0.379685i
\(465\) 9.97096 0.570160i 0.462392 0.0264405i
\(466\) −7.12573 + 35.1668i −0.330093 + 1.62907i
\(467\) 13.3351 + 10.9041i 0.617075 + 0.504580i 0.889101 0.457710i \(-0.151330\pi\)
−0.272027 + 0.962290i \(0.587694\pi\)
\(468\) 2.23101 1.09691i 0.103128 0.0507048i
\(469\) 1.42829 + 0.509613i 0.0659523 + 0.0235317i
\(470\) −11.8776 + 15.4031i −0.547872 + 0.710493i
\(471\) −5.96650 9.89433i −0.274922 0.455907i
\(472\) 4.79495 5.53367i 0.220705 0.254708i
\(473\) −6.53271 + 15.4842i −0.300374 + 0.711964i
\(474\) −29.1592 33.6515i −1.33933 1.54567i
\(475\) 0.0814929 0.250809i 0.00373915 0.0115079i
\(476\) 0.495670 0.176855i 0.0227190 0.00810613i
\(477\) −2.12831 + 2.18998i −0.0974487 + 0.100272i
\(478\) 3.18081 2.91932i 0.145487 0.133527i
\(479\) 11.0536 + 16.1654i 0.505053 + 0.738617i 0.990778 0.135495i \(-0.0432625\pi\)
−0.485725 + 0.874112i \(0.661444\pi\)
\(480\) 9.83139 2.28619i 0.448739 0.104350i
\(481\) −33.3389 + 24.2221i −1.52012 + 1.10443i
\(482\) 38.9960 4.47437i 1.77622 0.203802i
\(483\) 0.418666 0.0190500
\(484\) −14.1374 + 0.0169926i −0.642610 + 0.000772392i
\(485\) −8.76010 −0.397776
\(486\) −8.39185 + 0.962875i −0.380662 + 0.0436769i
\(487\) 16.2194 11.7841i 0.734970 0.533987i −0.156162 0.987731i \(-0.549912\pi\)
0.891132 + 0.453745i \(0.149912\pi\)
\(488\) 9.07209 2.10962i 0.410674 0.0954982i
\(489\) −4.71451 6.89475i −0.213198 0.311791i
\(490\) −9.33459 + 8.56721i −0.421694 + 0.387027i
\(491\) 13.1911 13.5734i 0.595308 0.612557i −0.350784 0.936456i \(-0.614085\pi\)
0.946092 + 0.323899i \(0.104994\pi\)
\(492\) −11.6247 + 4.14770i −0.524084 + 0.186993i
\(493\) −3.16546 + 9.74228i −0.142565 + 0.438770i
\(494\) −1.33806 1.54421i −0.0602023 0.0694772i
\(495\) 0.256811 + 1.47868i 0.0115428 + 0.0664617i
\(496\) −20.1551 + 23.2602i −0.904990 + 1.04441i
\(497\) 0.586356 + 0.972363i 0.0263017 + 0.0436164i
\(498\) 26.4104 34.2497i 1.18348 1.53476i
\(499\) −35.4506 12.6488i −1.58699 0.566236i −0.612460 0.790502i \(-0.709820\pi\)
−0.974528 + 0.224266i \(0.928002\pi\)
\(500\) 1.15335 0.567066i 0.0515796 0.0253600i
\(501\) 31.6440 + 25.8752i 1.41375 + 1.15602i
\(502\) −7.56139 + 37.3169i −0.337481 + 1.66554i
\(503\) −28.3789 + 1.62276i −1.26535 + 0.0723555i −0.676839 0.736132i \(-0.736650\pi\)
−0.588514 + 0.808487i \(0.700287\pi\)
\(504\) −0.0424580 0.0389676i −0.00189123 0.00173575i
\(505\) 0.0403211 0.280439i 0.00179426 0.0124794i
\(506\) 15.8763 2.29241i 0.705789 0.101910i
\(507\) −1.19780 8.33090i −0.0531963 0.369988i
\(508\) 0.441897 0.646254i 0.0196060 0.0286729i
\(509\) 1.36200 3.49828i 0.0603698 0.155059i −0.898448 0.439079i \(-0.855305\pi\)
0.958818 + 0.284021i \(0.0916684\pi\)
\(510\) 7.35878 + 9.54303i 0.325852 + 0.422573i
\(511\) 0.286258 + 0.881010i 0.0126633 + 0.0389736i
\(512\) −9.48158 + 15.7234i −0.419031 + 0.694884i
\(513\) 0.527236 + 1.35420i 0.0232781 + 0.0597892i
\(514\) 25.8779 + 6.01765i 1.14143 + 0.265427i
\(515\) 8.49758 3.59111i 0.374448 0.158243i
\(516\) −8.74429 + 5.61962i −0.384946 + 0.247390i
\(517\) −35.4595 + 3.06709i −1.55951 + 0.134890i
\(518\) −1.44495 0.928616i −0.0634877 0.0408010i
\(519\) −32.9768 5.70687i −1.44752 0.250504i
\(520\) −0.473925 + 5.51780i −0.0207830 + 0.241972i
\(521\) −0.658656 7.66859i −0.0288562 0.335967i −0.996497 0.0836335i \(-0.973347\pi\)
0.967640 0.252333i \(-0.0811980\pi\)
\(522\) −1.98739 + 0.343931i −0.0869856 + 0.0150535i
\(523\) −11.0217 4.65782i −0.481947 0.203672i 0.134740 0.990881i \(-0.456980\pi\)
−0.616687 + 0.787209i \(0.711525\pi\)
\(524\) 13.9117 + 10.1075i 0.607737 + 0.441547i
\(525\) 0.136618 + 0.0771516i 0.00596249 + 0.00336717i
\(526\) −0.135028 + 4.72660i −0.00588750 + 0.206089i
\(527\) −25.0097 7.34350i −1.08944 0.319888i
\(528\) 21.5020 + 14.6837i 0.935754 + 0.639028i
\(529\) 15.2364 4.47380i 0.662450 0.194513i
\(530\) 3.10957 + 11.8300i 0.135071 + 0.513863i
\(531\) 0.507890 + 2.50654i 0.0220405 + 0.108774i
\(532\) 0.0155483 0.0294673i 0.000674103 0.00127757i
\(533\) −0.734475 25.7100i −0.0318136 1.11362i
\(534\) −7.57994 + 28.8371i −0.328016 + 1.24790i
\(535\) 3.40672 + 0.194803i 0.147285 + 0.00842208i
\(536\) −13.9292 14.3328i −0.601649 0.619082i
\(537\) 21.4624 + 10.5524i 0.926171 + 0.455368i
\(538\) −11.2273 24.5844i −0.484044 1.05991i
\(539\) −23.1005 1.97012i −0.995008 0.0848589i
\(540\) −2.94206 + 6.44221i −0.126606 + 0.277228i
\(541\) 11.7536 9.61091i 0.505329 0.413205i −0.345683 0.938351i \(-0.612353\pi\)
0.851012 + 0.525146i \(0.175989\pi\)
\(542\) −6.45527 12.2341i −0.277277 0.525499i
\(543\) 0.893541 0.504606i 0.0383455 0.0216547i
\(544\) −26.1716 3.00292i −1.12210 0.128749i
\(545\) −10.8850 1.24893i −0.466260 0.0534984i
\(546\) 1.05852 0.597772i 0.0453003 0.0255823i
\(547\) 5.04202 + 9.55570i 0.215581 + 0.408572i 0.968307 0.249762i \(-0.0803524\pi\)
−0.752726 + 0.658334i \(0.771261\pi\)
\(548\) −19.8550 + 16.2353i −0.848163 + 0.693539i
\(549\) −1.35145 + 2.95927i −0.0576787 + 0.126299i
\(550\) 5.60316 + 2.17763i 0.238919 + 0.0928545i
\(551\) 0.269400 + 0.589903i 0.0114768 + 0.0251307i
\(552\) −4.95163 2.43455i −0.210755 0.103621i
\(553\) 1.05449 + 1.08504i 0.0448415 + 0.0461408i
\(554\) −23.9164 1.36759i −1.01611 0.0581032i
\(555\) 3.91154 14.8811i 0.166036 0.631666i
\(556\) −0.326217 11.4191i −0.0138347 0.484277i
\(557\) 5.24547 9.94127i 0.222258 0.421225i −0.747861 0.663855i \(-0.768919\pi\)
0.970119 + 0.242630i \(0.0780101\pi\)
\(558\) −1.01920 5.02997i −0.0431463 0.212936i
\(559\) −5.50654 20.9491i −0.232902 0.886051i
\(560\) −0.463925 + 0.136221i −0.0196044 + 0.00575637i
\(561\) −3.74713 + 21.7303i −0.158204 + 0.917455i
\(562\) 6.59791 + 1.93732i 0.278316 + 0.0817210i
\(563\) 1.18649 41.5325i 0.0500045 1.75039i −0.457927 0.888990i \(-0.651408\pi\)
0.507932 0.861397i \(-0.330410\pi\)
\(564\) −19.1681 10.8247i −0.807125 0.455804i
\(565\) 6.70411 + 4.87082i 0.282044 + 0.204917i
\(566\) −16.4673 6.95916i −0.692174 0.292515i
\(567\) −0.720428 + 0.124675i −0.0302551 + 0.00523585i
\(568\) −1.28062 14.9099i −0.0537335 0.625607i
\(569\) 2.76833 32.2311i 0.116054 1.35120i −0.674259 0.738495i \(-0.735537\pi\)
0.790313 0.612703i \(-0.209918\pi\)
\(570\) 0.751741 + 0.130094i 0.0314870 + 0.00544903i
\(571\) −28.1293 18.0776i −1.17718 0.756525i −0.202310 0.979321i \(-0.564845\pi\)
−0.974865 + 0.222797i \(0.928481\pi\)
\(572\) 14.4229 11.1355i 0.603051 0.465600i
\(573\) 11.6582 7.49229i 0.487029 0.312995i
\(574\) 0.987485 0.417315i 0.0412168 0.0174184i
\(575\) −2.59906 0.604386i −0.108388 0.0252046i
\(576\) −0.266806 0.685286i −0.0111169 0.0285536i
\(577\) −18.0071 + 29.8615i −0.749646 + 1.24315i 0.214226 + 0.976784i \(0.431277\pi\)
−0.963872 + 0.266365i \(0.914177\pi\)
\(578\) −0.197233 0.607020i −0.00820380 0.0252487i
\(579\) 9.25746 + 12.0053i 0.384727 + 0.498923i
\(580\) −1.14665 + 2.94515i −0.0476122 + 0.122291i
\(581\) −0.829519 + 1.21313i −0.0344143 + 0.0503292i
\(582\) −3.60660 25.0844i −0.149498 1.03978i
\(583\) −12.0895 + 18.8366i −0.500698 + 0.780131i
\(584\) 1.73748 12.0844i 0.0718974 0.500057i
\(585\) −1.42513 1.30797i −0.0589217 0.0540779i
\(586\) 27.5915 1.57774i 1.13979 0.0651757i
\(587\) −3.55191 + 17.5294i −0.146603 + 0.723514i 0.837574 + 0.546324i \(0.183973\pi\)
−0.984177 + 0.177190i \(0.943299\pi\)
\(588\) −11.1007 9.07704i −0.457787 0.374331i
\(589\) −1.48086 + 0.728088i −0.0610176 + 0.0300003i
\(590\) 9.64811 + 3.44244i 0.397206 + 0.141723i
\(591\) 3.01778 3.91352i 0.124135 0.160981i
\(592\) 24.4859 + 40.6052i 1.00636 + 1.66886i
\(593\) −26.8291 + 30.9624i −1.10174 + 1.27147i −0.142216 + 0.989836i \(0.545423\pi\)
−0.959521 + 0.281637i \(0.909123\pi\)
\(594\) −31.4986 + 10.2555i −1.29240 + 0.420786i
\(595\) −0.268155 0.309467i −0.0109933 0.0126869i
\(596\) 2.76833 8.52005i 0.113395 0.348995i
\(597\) −13.6854 + 4.88296i −0.560108 + 0.199846i
\(598\) −14.4091 + 14.8266i −0.589231 + 0.606305i
\(599\) −13.3297 + 12.2339i −0.544637 + 0.499863i −0.900607 0.434634i \(-0.856878\pi\)
0.355970 + 0.934497i \(0.384150\pi\)
\(600\) −1.16716 1.70692i −0.0476491 0.0696846i
\(601\) 24.9539 5.80279i 1.01789 0.236701i 0.315829 0.948816i \(-0.397717\pi\)
0.702062 + 0.712115i \(0.252263\pi\)
\(602\) 0.730405 0.530670i 0.0297691 0.0216285i
\(603\) 6.93534 0.795756i 0.282429 0.0324057i
\(604\) 9.22917 0.375530
\(605\) 4.00320 + 10.2457i 0.162753 + 0.416547i
\(606\) 0.819634 0.0332954
\(607\) −24.0870 + 2.76372i −0.977659 + 0.112176i −0.588068 0.808812i \(-0.700111\pi\)
−0.389592 + 0.920988i \(0.627384\pi\)
\(608\) −1.34924 + 0.980281i −0.0547190 + 0.0397557i
\(609\) −0.375801 + 0.0873887i −0.0152282 + 0.00354117i
\(610\) 7.35515 + 10.7566i 0.297801 + 0.435520i
\(611\) 33.7970 31.0186i 1.36728 1.25488i
\(612\) 1.68841 1.73734i 0.0682500 0.0702276i
\(613\) −15.7384 + 5.61545i −0.635668 + 0.226806i −0.634171 0.773193i \(-0.718658\pi\)
−0.00149698 + 0.999999i \(0.500477\pi\)
\(614\) −4.61074 + 14.1904i −0.186074 + 0.572678i
\(615\) 6.28891 + 7.25779i 0.253593 + 0.292662i
\(616\) −0.361842 0.217902i −0.0145790 0.00877952i
\(617\) 15.2307 17.5771i 0.613163 0.707628i −0.361230 0.932477i \(-0.617643\pi\)
0.974394 + 0.224848i \(0.0721886\pi\)
\(618\) 13.7816 + 22.8542i 0.554377 + 0.919332i
\(619\) 27.6360 35.8390i 1.11078 1.44049i 0.226219 0.974077i \(-0.427364\pi\)
0.884566 0.466415i \(-0.154455\pi\)
\(620\) −7.57437 2.70253i −0.304194 0.108536i
\(621\) 13.1956 6.48784i 0.529521 0.260348i
\(622\) −20.8667 17.0626i −0.836677 0.684148i
\(623\) 0.201205 0.992986i 0.00806111 0.0397832i
\(624\) −33.5043 + 1.91585i −1.34125 + 0.0766953i
\(625\) −0.736741 0.676175i −0.0294696 0.0270470i
\(626\) 0.101803 0.708057i 0.00406887 0.0282996i
\(627\) 0.755448 + 1.17395i 0.0301697 + 0.0468830i
\(628\) 1.32406 + 9.20903i 0.0528357 + 0.367480i
\(629\) −22.6664 + 33.1485i −0.903767 + 1.32172i
\(630\) 0.0292516 0.0751320i 0.00116541 0.00299333i
\(631\) 4.12005 + 5.34298i 0.164017 + 0.212701i 0.866737 0.498766i \(-0.166213\pi\)
−0.702720 + 0.711466i \(0.748031\pi\)
\(632\) −6.16205 18.9648i −0.245113 0.754381i
\(633\) 4.96748 8.23764i 0.197440 0.327417i
\(634\) 9.86658 + 25.3421i 0.391852 + 1.00646i
\(635\) −0.593318 0.137970i −0.0235451 0.00547518i
\(636\) −12.7515 + 5.38885i −0.505631 + 0.213682i
\(637\) 25.1381 16.1553i 0.996009 0.640096i
\(638\) −13.7723 + 5.37159i −0.545251 + 0.212663i
\(639\) 4.39719 + 2.82590i 0.173950 + 0.111791i
\(640\) 9.56039 + 1.65449i 0.377908 + 0.0653995i
\(641\) −2.71215 + 31.5769i −0.107123 + 1.24721i 0.723478 + 0.690347i \(0.242542\pi\)
−0.830602 + 0.556867i \(0.812003\pi\)
\(642\) 0.844755 + 9.83530i 0.0333398 + 0.388168i
\(643\) 9.74049 1.68566i 0.384127 0.0664759i 0.0248122 0.999692i \(-0.492101\pi\)
0.359315 + 0.933216i \(0.383010\pi\)
\(644\) −0.310533 0.131232i −0.0122367 0.00517128i
\(645\) 6.54301 + 4.75378i 0.257631 + 0.187180i
\(646\) −1.73376 0.979097i −0.0682137 0.0385220i
\(647\) −0.209424 + 7.33081i −0.00823332 + 0.288204i 0.985034 + 0.172360i \(0.0551391\pi\)
−0.993267 + 0.115844i \(0.963043\pi\)
\(648\) 9.24559 + 2.71475i 0.363201 + 0.106645i
\(649\) 7.30710 + 17.2617i 0.286829 + 0.677583i
\(650\) −7.43416 + 2.18287i −0.291592 + 0.0856191i
\(651\) −0.249582 0.949507i −0.00978187 0.0372141i
\(652\) 1.33566 + 6.59175i 0.0523085 + 0.258153i
\(653\) −9.12600 + 17.2957i −0.357128 + 0.676833i −0.995691 0.0927369i \(-0.970438\pi\)
0.638563 + 0.769570i \(0.279529\pi\)
\(654\) −0.905114 31.6831i −0.0353928 1.23891i
\(655\) 3.40136 12.9401i 0.132902 0.505612i
\(656\) −29.5466 1.68954i −1.15360 0.0659653i
\(657\) 2.97193 + 3.05805i 0.115946 + 0.119306i
\(658\) 1.71586 + 0.843632i 0.0668912 + 0.0328882i
\(659\) −10.8884 23.8422i −0.424151 0.928760i −0.994240 0.107178i \(-0.965819\pi\)
0.570089 0.821583i \(-0.306909\pi\)
\(660\) −1.53698 + 6.62758i −0.0598269 + 0.257978i
\(661\) −12.1415 + 26.5861i −0.472248 + 1.03408i 0.512274 + 0.858822i \(0.328803\pi\)
−0.984523 + 0.175258i \(0.943924\pi\)
\(662\) −15.3200 + 12.5271i −0.595429 + 0.486880i
\(663\) −13.2632 25.1365i −0.515100 0.976222i
\(664\) 16.8652 9.52423i 0.654498 0.369612i
\(665\) −0.0257547 0.00295508i −0.000998726 0.000114593i
\(666\) −7.85521 0.901302i −0.304383 0.0349247i
\(667\) 5.71375 3.22671i 0.221237 0.124939i
\(668\) −15.3603 29.1110i −0.594308 1.12634i
\(669\) −7.50270 + 6.13493i −0.290071 + 0.237190i
\(670\) 11.6156 25.4346i 0.448750 0.982625i
\(671\) −5.38671 + 23.2279i −0.207951 + 0.896703i
\(672\) −0.412185 0.902560i −0.0159004 0.0348170i
\(673\) −3.69909 1.81872i −0.142589 0.0701065i 0.368532 0.929615i \(-0.379861\pi\)
−0.511121 + 0.859509i \(0.670770\pi\)
\(674\) −10.9006 11.2164i −0.419875 0.432041i
\(675\) 5.50152 + 0.314588i 0.211753 + 0.0121085i
\(676\) −1.72291 + 6.55464i −0.0662659 + 0.252102i
\(677\) −1.07593 37.6623i −0.0413512 1.44748i −0.710157 0.704044i \(-0.751376\pi\)
0.668806 0.743437i \(-0.266806\pi\)
\(678\) −11.1874 + 21.2025i −0.429649 + 0.814276i
\(679\) 0.171012 + 0.843979i 0.00656285 + 0.0323889i
\(680\) 1.37195 + 5.21943i 0.0526118 + 0.200156i
\(681\) −33.5498 + 9.85111i −1.28563 + 0.377495i
\(682\) −14.6635 34.6398i −0.561493 1.32643i
\(683\) 30.3463 + 8.91049i 1.16117 + 0.340950i 0.804887 0.593428i \(-0.202226\pi\)
0.356283 + 0.934378i \(0.384044\pi\)
\(684\) 0.00437969 0.153309i 0.000167462 0.00586193i
\(685\) 17.3765 + 9.81297i 0.663923 + 0.374934i
\(686\) 2.01664 + 1.46517i 0.0769956 + 0.0559406i
\(687\) 11.2438 + 4.75167i 0.428978 + 0.181288i
\(688\) −24.5585 + 4.25002i −0.936285 + 0.162030i
\(689\) −2.46869 28.7424i −0.0940495 1.09500i
\(690\) 0.660599 7.69121i 0.0251486 0.292799i
\(691\) −4.39047 0.759800i −0.167021 0.0289042i 0.0863981 0.996261i \(-0.472464\pi\)
−0.253419 + 0.967357i \(0.581555\pi\)
\(692\) 22.6707 + 14.5696i 0.861811 + 0.553853i
\(693\) 0.137448 0.0536084i 0.00522121 0.00203641i
\(694\) 46.1593 29.6648i 1.75218 1.12606i
\(695\) −8.18745 + 3.46005i −0.310568 + 0.131247i
\(696\) 4.95282 + 1.15173i 0.187736 + 0.0436561i
\(697\) −9.09335 23.3561i −0.344435 0.884674i
\(698\) 9.29519 15.4143i 0.351828 0.583441i
\(699\) 9.76398 + 30.0504i 0.369308 + 1.13661i
\(700\) −0.0771486 0.100048i −0.00291594 0.00378146i
\(701\) 15.5787 40.0135i 0.588398 1.51129i −0.251120 0.967956i \(-0.580799\pi\)
0.839518 0.543332i \(-0.182837\pi\)
\(702\) 24.0992 35.2439i 0.909564 1.33019i
\(703\) 0.361804 + 2.51640i 0.0136457 + 0.0949078i
\(704\) −2.91675 4.53257i −0.109929 0.170828i
\(705\) −2.43759 + 16.9538i −0.0918050 + 0.638518i
\(706\) 48.7361 + 44.7296i 1.83421 + 1.68342i
\(707\) −0.0278056 + 0.00158998i −0.00104574 + 5.97975e-5i
\(708\) −2.30236 + 11.3626i −0.0865279 + 0.427032i
\(709\) 11.4660 + 9.37570i 0.430615 + 0.352112i 0.823344 0.567542i \(-0.192106\pi\)
−0.392730 + 0.919654i \(0.628469\pi\)
\(710\) 18.7882 9.23754i 0.705109 0.346679i
\(711\) 6.55992 + 2.34057i 0.246016 + 0.0877784i
\(712\) −8.15391 + 10.5742i −0.305581 + 0.396284i
\(713\) 8.62236 + 14.2986i 0.322910 + 0.535486i
\(714\) 0.775753 0.895267i 0.0290318 0.0335045i
\(715\) −12.1454 7.31401i −0.454213 0.273528i
\(716\) −12.6114 14.5543i −0.471311 0.543921i
\(717\) 1.17484 3.61579i 0.0438753 0.135034i
\(718\) −23.8266 + 8.50131i −0.889200 + 0.317266i
\(719\) −18.0151 + 18.5371i −0.671849 + 0.691316i −0.964254 0.264978i \(-0.914635\pi\)
0.292405 + 0.956294i \(0.405544\pi\)
\(720\) −1.63980 + 1.50500i −0.0611118 + 0.0560879i
\(721\) −0.511867 0.748582i −0.0190629 0.0278786i
\(722\) 33.4201 7.77151i 1.24377 0.289226i
\(723\) 27.9635 20.3167i 1.03997 0.755585i
\(724\) −0.820927 + 0.0941926i −0.0305095 + 0.00350064i
\(725\) 2.45911 0.0913290
\(726\) −27.6903 + 15.6813i −1.02768 + 0.581989i
\(727\) 33.0416 1.22545 0.612723 0.790298i \(-0.290074\pi\)
0.612723 + 0.790298i \(0.290074\pi\)
\(728\) 0.540856 0.0620575i 0.0200455 0.00230000i
\(729\) −24.0693 + 17.4874i −0.891457 + 0.647682i
\(730\) 16.6365 3.86865i 0.615744 0.143185i
\(731\) −11.9141 17.4238i −0.440658 0.644443i
\(732\) −10.8652 + 9.97198i −0.401589 + 0.368575i
\(733\) 13.6795 14.0759i 0.505264 0.519904i −0.415726 0.909490i \(-0.636473\pi\)
0.920990 + 0.389586i \(0.127382\pi\)
\(734\) 28.8317 10.2871i 1.06420 0.379705i
\(735\) −3.44776 + 10.6111i −0.127172 + 0.391396i
\(736\) 11.0509 + 12.7534i 0.407340 + 0.470095i
\(737\) 48.6514 15.8401i 1.79210 0.583479i
\(738\) 3.23171 3.72959i 0.118961 0.137288i
\(739\) 19.9661 + 33.1101i 0.734466 + 1.21798i 0.969286 + 0.245936i \(0.0790954\pi\)
−0.234820 + 0.972039i \(0.575450\pi\)
\(740\) −7.56578 + 9.81148i −0.278124 + 0.360677i
\(741\) −1.69465 0.604651i −0.0622546 0.0222124i
\(742\) 1.07904 0.530529i 0.0396129 0.0194763i
\(743\) 8.30113 + 6.78780i 0.304539 + 0.249020i 0.772916 0.634509i \(-0.218797\pi\)
−0.468377 + 0.883529i \(0.655161\pi\)
\(744\) −2.56956 + 12.6813i −0.0942046 + 0.464918i
\(745\) −6.95904 + 0.397932i −0.254960 + 0.0145791i
\(746\) 27.2493 + 25.0092i 0.997668 + 0.915651i
\(747\) −0.962780 + 6.69628i −0.0352263 + 0.245004i
\(748\) 9.59076 14.9432i 0.350673 0.546379i
\(749\) −0.0477370 0.332018i −0.00174427 0.0121317i
\(750\) 1.63290 2.38803i 0.0596249 0.0871987i
\(751\) 6.22903 15.9991i 0.227301 0.583817i −0.771313 0.636456i \(-0.780400\pi\)
0.998614 + 0.0526391i \(0.0167633\pi\)
\(752\) −32.2323 41.7996i −1.17539 1.52428i
\(753\) 10.3609 + 31.8877i 0.377574 + 1.16205i
\(754\) 9.83902 16.3162i 0.358316 0.594201i
\(755\) −2.60532 6.69172i −0.0948174 0.243536i
\(756\) 0.678099 + 0.157685i 0.0246622 + 0.00573495i
\(757\) 43.8440 18.5286i 1.59354 0.673435i 0.601443 0.798916i \(-0.294593\pi\)
0.992096 + 0.125481i \(0.0400473\pi\)
\(758\) 46.0225 29.5769i 1.67161 1.07428i
\(759\) 11.1809 8.63245i 0.405839 0.313338i
\(760\) 0.287421 + 0.184714i 0.0104259 + 0.00670029i
\(761\) 3.76729 + 0.651954i 0.136564 + 0.0236333i 0.238394 0.971168i \(-0.423379\pi\)
−0.101830 + 0.994802i \(0.532470\pi\)
\(762\) 0.150802 1.75576i 0.00546300 0.0636045i
\(763\) 0.0921666 + 1.07308i 0.00333665 + 0.0388480i
\(764\) −10.9956 + 1.90287i −0.397807 + 0.0688433i
\(765\) −1.73630 0.733767i −0.0627761 0.0265294i
\(766\) −11.8621 8.61830i −0.428594 0.311392i
\(767\) −21.0368 11.8800i −0.759596 0.428963i
\(768\) −0.949670 + 33.2428i −0.0342683 + 1.19955i
\(769\) 41.0116 + 12.0421i 1.47892 + 0.434249i 0.918986 0.394291i \(-0.129010\pi\)
0.559930 + 0.828540i \(0.310828\pi\)
\(770\) 0.100417 0.582339i 0.00361879 0.0209860i
\(771\) 22.4482 6.59137i 0.808451 0.237383i
\(772\) −3.10334 11.8063i