Properties

Label 605.2.s.b.16.4
Level $605$
Weight $2$
Character 605.16
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 16.4
Character \(\chi\) \(=\) 605.16
Dual form 605.2.s.b.416.4

$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).

\(n\) \(122\) \(486\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{55}\right)\)

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 −0.549135 0.835734i \(-0.685043\pi\)
−0.724155 + 0.689637i \(0.757770\pi\)
\(3\) −1.29126 0.938155i −0.745509 0.541644i 0.148922 0.988849i \(-0.452420\pi\)
−0.894432 + 0.447205i \(0.852420\pi\)
\(4\) 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 0.704061 0.710140i \(-0.251368\pi\)
−0.729955 + 0.683495i \(0.760459\pi\)
\(8\) 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 0.383543 + 0.923523i \(0.374704\pi\)
−0.995781 + 0.0917599i \(0.970751\pi\)
\(14\) 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 −0.937368 0.348340i \(-0.886745\pi\)
0.155250 + 0.987875i \(0.450382\pi\)
\(18\) 0.162881 + 0.803851i 0.0383915 + 0.189469i
\(19\) −0.263287 0.0150553i −0.0604021 0.00345392i 0.0268616 0.999639i \(-0.491449\pi\)
−0.0872637 + 0.996185i \(0.527812\pi\)
\(20\) −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 −0.911154 0.412066i \(-0.864807\pi\)
0.990338 0.138673i \(-0.0442835\pi\)
\(24\) −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 −0.990087 0.140459i \(-0.955142\pi\)
0.824412 + 0.565990i \(0.191506\pi\)
\(30\) −2.81775 + 0.655240i −0.514449 + 0.119630i
\(31\) 5.76378 + 2.43580i 1.03521 + 0.437482i 0.839603 0.543201i \(-0.182788\pi\)
0.195604 + 0.980683i \(0.437333\pi\)
\(32\) 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 0.539930 + 0.841710i \(0.318451\pi\)
−0.675552 + 0.737312i \(0.736095\pi\)
\(38\) 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 −0.0249682 0.999688i \(-0.507948\pi\)
0.843189 + 0.537618i \(0.180676\pi\)
\(42\) −0.00812075 0.284263i −0.00125306 0.0438628i
\(43\) 4.86190 1.42758i 0.741433 0.217704i 0.110862 0.993836i \(-0.464639\pi\)
0.630571 + 0.776132i \(0.282821\pi\)
\(44\) 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 −0.454616 0.890688i \(-0.650223\pi\)
0.765475 0.643465i \(-0.222504\pi\)
\(48\) 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 0.0249715 0.999688i \(-0.492051\pi\)
0.806904 + 0.590682i \(0.201141\pi\)
\(54\) 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 0.777590 0.628772i \(-0.216442\pi\)
−0.136902 + 0.990585i \(0.543715\pi\)
\(60\) 2.03795 0.233833i 0.263098 0.0301877i
\(61\) 7.14248 0.819523i 0.914500 0.104929i 0.356050 0.934467i \(-0.384123\pi\)
0.558450 + 0.829538i \(0.311396\pi\)
\(62\) −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 −0.0870630 + 0.996203i \(0.527748\pi\)
−0.695866 + 0.718172i \(0.744979\pi\)
\(68\) −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 0.878470 + 0.477797i \(0.158564\pi\)
−0.529976 + 0.848012i \(0.677799\pi\)
\(72\) 0.0167411 0.586014i 0.00197295 0.0690624i
\(73\) 4.39767 + 8.33451i 0.514708 + 0.975480i 0.995142 + 0.0984493i \(0.0313882\pi\)
−0.480434 + 0.877031i \(0.659521\pi\)
\(74\) 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 0.524817 + 0.851215i \(0.324134\pi\)
−0.475366 + 0.879788i \(0.657684\pi\)
\(80\) 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 0.905960 0.423364i \(-0.139151\pi\)
0.711002 + 0.703190i \(0.248242\pi\)
\(84\) −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 −0.00668857 0.999978i \(-0.502129\pi\)
−0.912390 + 0.409322i \(0.865765\pi\)
\(90\) −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 0.990370 0.138443i \(-0.0442099\pi\)
−0.488324 + 0.872662i \(0.662392\pi\)
\(98\) −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 −0.665723 0.746199i \(-0.731877\pi\)
0.686493 + 0.727137i \(0.259149\pi\)
\(102\) −12.0311 0.687964i −1.19126 0.0681186i
\(103\) −1.83204 9.04149i −0.180517 0.890884i −0.963266 0.268548i \(-0.913456\pi\)
0.782750 0.622337i \(-0.213816\pi\)
\(104\) −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 0.680336 0.732900i \(-0.261834\pi\)
−0.881776 + 0.471669i \(0.843652\pi\)
\(108\) −3.65724 + 6.06485i −0.351918 + 0.583590i
\(109\) 7.17490 + 8.28028i 0.687231 + 0.793107i 0.986968 0.160915i \(-0.0514445\pi\)
−0.299737 + 0.954022i \(0.596899\pi\)
\(110\) −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 −0.0576362 0.998338i \(-0.518356\pi\)
−0.676579 + 0.736370i \(0.736538\pi\)
\(114\) −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 0.695840 0.718197i \(-0.255032\pi\)
−0.656016 + 0.754747i \(0.727760\pi\)
\(128\) −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 −0.230451 0.973084i \(-0.574020\pi\)
0.995976 + 0.0896213i \(0.0285657\pi\)
\(132\) −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 −0.534352 0.845262i \(-0.679444\pi\)
−0.995666 + 0.0930033i \(0.970353\pi\)
\(138\) 5.97601 4.88656i 0.508712 0.415971i
\(139\) 1.76518 + 8.71151i 0.149721 + 0.738901i 0.982642 + 0.185510i \(0.0593937\pi\)
−0.832922 + 0.553391i \(0.813334\pi\)
\(140\) 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 0.968143 0.250397i \(-0.0805613\pi\)
−0.673261 + 0.739405i \(0.735107\pi\)
\(150\) 1.04958 2.69582i 0.0856977 0.220113i
\(151\) 6.99438 1.62647i 0.569195 0.132361i 0.0679848 0.997686i \(-0.478343\pi\)
0.501210 + 0.865326i \(0.332889\pi\)
\(152\) −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 −0.978577 0.205882i \(-0.933994\pi\)
0.929137 0.369735i \(-0.120552\pi\)
\(158\) 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 −0.984227 0.176911i \(-0.943389\pi\)
0.972522 0.232811i \(-0.0747923\pi\)
\(164\) 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 −0.121676 + 0.992570i \(0.538827\pi\)
−0.382130 + 0.924108i \(0.624809\pi\)
\(168\) −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 0.122475 0.992472i \(-0.460917\pi\)
0.988569 0.150766i \(-0.0481741\pi\)
\(174\) −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 0.471423 + 0.881907i \(0.343741\pi\)
−0.994081 + 0.108640i \(0.965350\pi\)
\(180\) 0.506407 + 0.285981i 0.0377453 + 0.0213158i
\(181\) −0.638744 + 0.0732890i −0.0474775 + 0.00544753i −0.137698 0.990474i \(-0.543970\pi\)
0.0902201 + 0.995922i \(0.471243\pi\)
\(182\) −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 −0.367812 0.929900i \(-0.619893\pi\)
−0.259414 + 0.965766i \(0.583529\pi\)
\(192\) 0.659404 + 2.50863i 0.0475884 + 0.181045i
\(193\) −0.271233 + 9.49441i −0.0195238 + 0.683423i 0.929609 + 0.368547i \(0.120145\pi\)
−0.949133 + 0.314876i \(0.898037\pi\)
\(194\) −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 0.174181 0.984714i \(-0.444272\pi\)
−0.385846 + 0.922563i \(0.626090\pi\)
\(198\) 2.58762 0.839049i 0.183894 0.0596286i
\(199\) 8.73506 2.56484i 0.619212 0.181817i 0.0429433 0.999078i \(-0.486327\pi\)
0.576268 + 0.817261i \(0.304508\pi\)
\(200\) −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 0.189709 0.981840i \(-0.439245\pi\)
−0.571893 + 0.820328i \(0.693791\pi\)
\(212\) 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 0.258875 0.965911i \(-0.416648\pi\)
0.147082 + 0.989124i \(0.453012\pi\)
\(224\) −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 0.454009 0.890997i \(-0.349993\pi\)
0.915479 + 0.402365i \(0.131812\pi\)
\(228\) 0.330341 + 0.428393i 0.0218773 + 0.0283710i
\(229\) −3.94933 + 6.54923i −0.260979 + 0.432785i −0.959047 0.283246i \(-0.908589\pi\)
0.698068 + 0.716031i \(0.254043\pi\)
\(230\) −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 0.924378 + 0.381478i \(0.124585\pi\)
−0.523610 + 0.851958i \(0.675415\pi\)
\(234\) −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 0.523712 0.851895i \(-0.324547\pi\)
−0.648364 + 0.761330i \(0.724547\pi\)
\(240\) −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 0.916873 + 0.399178i \(0.130705\pi\)
−0.507135 + 0.861867i \(0.669295\pi\)
\(252\) −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 −0.729465 0.684018i \(-0.760231\pi\)
−0.131718 + 0.991287i \(0.542049\pi\)
\(258\) 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 0.998061 0.0622392i \(-0.0198242\pi\)
−0.975168 + 0.221468i \(0.928915\pi\)
\(264\) −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 −0.706643 0.707571i \(-0.749791\pi\)
0.987585 0.157082i \(-0.0502089\pi\)
\(270\) 5.15772 + 8.55312i 0.313889 + 0.520526i
\(271\) 2.76886 7.11176i 0.168196 0.432009i −0.822386 0.568931i \(-0.807357\pi\)
0.990582 + 0.136922i \(0.0437209\pi\)
\(272\) 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 0.234737 0.972059i \(-0.424577\pi\)
0.547745 + 0.836645i \(0.315486\pi\)
\(278\) −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 −0.491006 0.871156i \(-0.663371\pi\)
0.282534 + 0.959257i \(0.408825\pi\)
\(282\) 25.1160 18.2479i 1.49564 1.08664i
\(283\) 8.58845 4.85012i 0.510531 0.288310i −0.214863 0.976644i \(-0.568931\pi\)
0.725394 + 0.688334i \(0.241658\pi\)
\(284\) 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 −0.495774 0.868451i \(-0.665116\pi\)
−0.393547 + 0.919305i \(0.628752\pi\)
\(294\) 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 0.981764 0.190106i \(-0.0608831\pi\)
−0.786591 + 0.617475i \(0.788156\pi\)
\(308\) −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 −0.356414 0.934328i \(-0.616001\pi\)
0.944125 + 0.329587i \(0.106910\pi\)
\(312\) 8.82489 0.504626i 0.499611 0.0285688i
\(313\) −0.100331 0.381699i −0.00567105 0.0215749i 0.964251 0.264990i \(-0.0853687\pi\)
−0.969922 + 0.243415i \(0.921732\pi\)
\(314\) −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 0.769985 + 0.638062i \(0.220264\pi\)
−0.984218 + 0.176963i \(0.943373\pi\)
\(318\) 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 0.768157 0.640262i \(-0.221174\pi\)
−0.263299 + 0.964714i \(0.584810\pi\)
\(332\) 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 −0.626196 0.779665i \(-0.715389\pi\)
0.913241 + 0.407419i \(0.133571\pi\)
\(338\) 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 −0.472013 0.881592i \(-0.656472\pi\)
−0.986368 + 0.164554i \(0.947381\pi\)
\(348\) 4.75106 1.69517i 0.254684 0.0908709i
\(349\) −6.06433 7.86436i −0.324616 0.420970i 0.601109 0.799167i \(-0.294726\pi\)
−0.925725 + 0.378198i \(0.876544\pi\)
\(350\) 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 −0.456160 + 0.889898i \(0.650775\pi\)
−0.815922 + 0.578162i \(0.803770\pi\)
\(354\) 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 0.569320 0.822116i \(-0.307206\pi\)
0.148172 + 0.988962i \(0.452661\pi\)
\(360\) 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 −0.226045 0.974117i \(-0.572580\pi\)
−0.632653 + 0.774435i \(0.718034\pi\)
\(368\) −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 −0.987636 0.156762i \(-0.949895\pi\)
0.295721 + 0.955274i \(0.404440\pi\)
\(374\) −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 −0.416932 0.908938i \(-0.636895\pi\)
−0.974388 + 0.224872i \(0.927804\pi\)
\(380\) 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 −0.509309 0.860584i \(-0.670099\pi\)
0.813843 + 0.581085i \(0.197372\pi\)
\(384\) 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 −0.988938 0.148326i \(-0.952611\pi\)
0.394860 + 0.918741i \(0.370793\pi\)
\(390\) 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 0.142153 0.989845i \(-0.454597\pi\)
0.959447 + 0.281889i \(0.0909610\pi\)
\(398\) −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 0.835784 0.549059i \(-0.185014\pi\)
0.602667 + 0.797993i \(0.294105\pi\)
\(402\) −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 −0.894699 0.446670i \(-0.852610\pi\)
0.998698 + 0.0510172i \(0.0162463\pi\)
\(410\) 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 0.962102 + 0.272690i \(0.0879132\pi\)
−0.423958 + 0.905682i \(0.639359\pi\)
\(420\) −0.156104 0.127646i −0.00761709 0.00622847i
\(421\) −7.86751 + 14.9106i −0.383439 + 0.726698i −0.998069 0.0621179i \(-0.980215\pi\)
0.614630 + 0.788816i \(0.289305\pi\)
\(422\) 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 0.156640 0.987656i \(-0.449934\pi\)
0.877779 + 0.479067i \(0.159025\pi\)
\(432\) 18.8900 19.4373i 0.908844 0.935178i
\(433\) −30.1585 + 1.72452i −1.44932 + 0.0828754i −0.763931 0.645298i \(-0.776733\pi\)
−0.685393 + 0.728173i \(0.740370\pi\)
\(434\) 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 0.560868 0.827906i \(-0.310468\pi\)
0.0242323 + 0.999706i \(0.492286\pi\)
\(440\) 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 0.0137559 0.999905i \(-0.495621\pi\)
0.863372 + 0.504569i \(0.168348\pi\)
\(444\) 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 0.0944065 0.995534i \(-0.469905\pi\)
0.423465 + 0.905913i \(0.360814\pi\)
\(450\) 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 −0.362786 0.931873i \(-0.618174\pi\)
0.841241 0.540661i \(-0.181826\pi\)
\(458\) 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 0.780195 + 0.625537i \(0.215120\pi\)
−0.924826 + 0.380392i \(0.875789\pi\)
\(462\) −0.933660 + 0.133667i −0.0434378 + 0.00621877i
\(463\) −0.863202 6.00370i −0.0401164 0.279016i 0.959883 0.280402i \(-0.0904678\pi\)
−0.999999 + 0.00138635i \(0.999559\pi\)
\(464\) 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 −0.272027 0.962290i \(-0.587694\pi\)
0.889101 + 0.457710i \(0.151330\pi\)
\(468\) 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 −0.485725 0.874112i \(-0.661444\pi\)
0.990778 + 0.135495i \(0.0432625\pi\)
\(480\) 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 0.891132 0.453745i \(-0.149912\pi\)
−0.156162 + 0.987731i \(0.549912\pi\)
\(488\) 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 0.946092 0.323899i \(-0.104994\pi\)
−0.350784 + 0.936456i \(0.614085\pi\)
\(492\) −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 −0.974528 0.224266i \(-0.928002\pi\)
−0.612460 + 0.790502i \(0.709820\pi\)
\(500\) 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 −0.588514 0.808487i \(-0.700287\pi\)
−0.676839 + 0.736132i \(0.736650\pi\)
\(504\) −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 0.958818 0.284021i \(-0.0916684\pi\)
−0.898448 + 0.439079i \(0.855305\pi\)
\(510\) 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 0.967640 + 0.252333i \(0.0811980\pi\)
−0.996497 + 0.0836335i \(0.973347\pi\)
\(522\) −1.98739 0.343931i −0.0869856 0.0150535i
\(523\) −11.0217 + 4.65782i −0.481947 + 0.203672i −0.616687 0.787209i \(-0.711525\pi\)
0.134740 + 0.990881i \(0.456980\pi\)
\(524\) 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 0.851012 0.525146i \(-0.175989\pi\)
−0.345683 + 0.938351i \(0.612353\pi\)
\(542\) −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 −0.752726 0.658334i \(-0.771261\pi\)
0.968307 + 0.249762i \(0.0803524\pi\)
\(548\) −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 0.970119 0.242630i \(-0.0780101\pi\)
−0.747861 + 0.663855i \(0.768919\pi\)
\(558\) −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 0.507932 + 0.861397i \(0.330410\pi\)
−0.457927 + 0.888990i \(0.651408\pi\)
\(564\) −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 0.790313 + 0.612703i \(0.209918\pi\)
−0.674259 + 0.738495i \(0.735537\pi\)
\(570\) 0.751741 0.130094i 0.0314870 0.00544903i
\(571\) −28.1293 + 18.0776i −1.17718 + 0.756525i −0.974865 0.222797i \(-0.928481\pi\)
−0.202310 + 0.979321i \(0.564845\pi\)
\(572\) 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 −0.963872 0.266365i \(-0.914177\pi\)
0.214226 0.976784i \(-0.431277\pi\)
\(578\) −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 −0.984177 0.177190i \(-0.943299\pi\)
0.837574 0.546324i \(-0.183973\pi\)
\(588\) −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 −0.959521 0.281637i \(-0.909123\pi\)
−0.142216 0.989836i \(-0.545423\pi\)
\(594\) −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 0.355970 0.934497i \(-0.384150\pi\)
−0.900607 + 0.434634i \(0.856878\pi\)
\(600\) −1.16716 + 1.70692i −0.0476491 + 0.0696846i
\(601\) 24.9539 + 5.80279i 1.01789 + 0.236701i 0.702062 0.712115i \(-0.252263\pi\)
0.315829 + 0.948816i \(0.397717\pi\)
\(602\) 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 −0.389592 0.920988i \(-0.627384\pi\)
−0.588068 + 0.808812i \(0.700111\pi\)
\(608\) −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 −0.00149698 0.999999i \(-0.500477\pi\)
−0.634171 + 0.773193i \(0.718658\pi\)
\(614\) −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 0.974394 0.224848i \(-0.0721886\pi\)
−0.361230 + 0.932477i \(0.617643\pi\)
\(618\) 13.7816 22.8542i 0.554377 0.919332i
\(619\) 27.6360 + 35.8390i 1.11078 + 1.44049i 0.884566 + 0.466415i \(0.154455\pi\)
0.226219 + 0.974077i \(0.427364\pi\)
\(620\) −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 −0.702720 0.711466i \(-0.748031\pi\)
0.866737 + 0.498766i \(0.166213\pi\)
\(632\) −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 −0.830602 0.556867i \(-0.812003\pi\)
0.723478 0.690347i \(-0.242542\pi\)
\(642\) 0.844755 9.83530i 0.0333398 0.388168i
\(643\) 9.74049 + 1.68566i 0.384127 + 0.0664759i 0.359315 0.933216i \(-0.383010\pi\)
0.0248122 + 0.999692i \(0.492101\pi\)
\(644\) −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 −0.993267 0.115844i \(-0.963043\pi\)
0.985034 0.172360i \(-0.0551391\pi\)
\(648\) 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 0.638563 0.769570i \(-0.279529\pi\)
−0.995691 + 0.0927369i \(0.970438\pi\)
\(654\) −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 0.570089 + 0.821583i \(0.306909\pi\)
−0.994240 + 0.107178i \(0.965819\pi\)
\(660\) −1.53698 6.62758i −0.0598269 0.257978i
\(661\) −12.1415 26.5861i −0.472248 1.03408i −0.984523 0.175258i \(-0.943924\pi\)
0.512274 0.858822i \(-0.328803\pi\)
\(662\) −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 −0.511121 0.859509i \(-0.670770\pi\)
0.368532 + 0.929615i \(0.379861\pi\)
\(674\) −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 0.668806 + 0.743437i \(0.266806\pi\)
−0.710157 + 0.704044i \(0.751376\pi\)
\(678\) −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 0.356283 0.934378i \(-0.384044\pi\)
0.804887 + 0.593428i \(0.202226\pi\)
\(684\) 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 −0.253419 0.967357i \(-0.581555\pi\)
0.0863981 + 0.996261i \(0.472464\pi\)
\(692\) 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 0.839518 + 0.543332i \(0.182837\pi\)
−0.251120 + 0.967956i \(0.580799\pi\)
\(702\) 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 −0.392730 0.919654i \(-0.628469\pi\)
0.823344 + 0.567542i \(0.192106\pi\)
\(710\) 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 0.292405 0.956294i \(-0.405544\pi\)
−0.964254 + 0.264978i \(0.914635\pi\)
\(720\) −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 0.920990 0.389586i \(-0.127382\pi\)
−0.415726 + 0.909490i \(0.636473\pi\)
\(734\) 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 −0.234820 0.972039i \(-0.575450\pi\)
0.969286 0.245936i \(-0.0790954\pi\)
\(740\) −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 −0.468377 0.883529i \(-0.655161\pi\)
0.772916 + 0.634509i \(0.218797\pi\)
\(744\) −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 0.998614 0.0526391i \(-0.0167633\pi\)
−0.771313 + 0.636456i \(0.780400\pi\)
\(752\) −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 0.992096 0.125481i \(-0.0400473\pi\)
0.601443 + 0.798916i \(0.294593\pi\)
\(758\) 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 −0.101830 0.994802i \(-0.532470\pi\)
0.238394 + 0.971168i \(0.423379\pi\)
\(762\) 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 0.559930 0.828540i \(-0.310828\pi\)
0.918986 + 0.394291i \(0.129010\pi\)
\(770\) 0.100417 + 0.582339i 0.00361879 + 0.0209860i
\(771\) 22.4482 + 6.59137i 0.808451 + 0.237383i
\(772\) −3.10334 + 11.8063i −0.111692 +