Properties

Label 547.2.o.a.4.6
Level $547$
Weight $2$
Character 547.4
Analytic conductor $4.368$
Analytic rank $0$
Dimension $6480$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 547 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 547.o (of order \(273\), degree \(144\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.36781699056\)
Analytic rank: \(0\)
Dimension: \(6480\)
Relative dimension: \(45\) over \(\Q(\zeta_{273})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{273}]$

Embedding invariants

Embedding label 4.6
Character \(\chi\) \(=\) 547.4
Dual form 547.2.o.a.137.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.28601 - 0.0263078i) q^{2} +(0.534963 - 2.34383i) q^{3} +(3.22568 + 0.0742532i) q^{4} +(1.59850 - 3.00356i) q^{5} +(-1.28459 + 5.34393i) q^{6} +(-1.61107 - 3.96999i) q^{7} +(-2.80238 - 0.0967850i) q^{8} +(-2.50442 - 1.20607i) q^{9} +O(q^{10})\) \(q+(-2.28601 - 0.0263078i) q^{2} +(0.534963 - 2.34383i) q^{3} +(3.22568 + 0.0742532i) q^{4} +(1.59850 - 3.00356i) q^{5} +(-1.28459 + 5.34393i) q^{6} +(-1.61107 - 3.96999i) q^{7} +(-2.80238 - 0.0967850i) q^{8} +(-2.50442 - 1.20607i) q^{9} +(-3.73320 + 6.82410i) q^{10} +(-2.01484 - 2.09767i) q^{11} +(1.89965 - 7.52070i) q^{12} +(0.187204 + 0.0282164i) q^{13} +(3.57848 + 9.11783i) q^{14} +(-6.18467 - 5.35339i) q^{15} +(-0.0425084 - 0.00195807i) q^{16} +(0.204574 - 1.21461i) q^{17} +(5.69341 + 2.82297i) q^{18} +(-2.76500 + 1.49202i) q^{19} +(5.37926 - 9.56981i) q^{20} +(-10.1668 + 1.65227i) q^{21} +(4.55076 + 4.84831i) q^{22} +(6.92646 + 1.62291i) q^{23} +(-1.72602 + 6.51651i) q^{24} +(-3.67337 - 5.45502i) q^{25} +(-0.427207 - 0.0694279i) q^{26} +(0.330212 - 0.414073i) q^{27} +(-4.90201 - 12.9255i) q^{28} +(8.19936 + 4.67120i) q^{29} +(13.9974 + 12.4006i) q^{30} +(9.64244 + 3.46773i) q^{31} +(5.69594 + 0.328097i) q^{32} +(-5.99445 + 3.60026i) q^{33} +(-0.499611 + 2.77123i) q^{34} +(-14.4994 - 1.50708i) q^{35} +(-7.98891 - 4.07635i) q^{36} +(0.910495 - 0.734706i) q^{37} +(6.36007 - 3.33802i) q^{38} +(0.166281 - 0.423678i) q^{39} +(-4.77029 + 8.26239i) q^{40} +(0.790218 + 1.36870i) q^{41} +(23.2850 - 3.50964i) q^{42} +(0.185775 - 1.89319i) q^{43} +(-6.34347 - 6.91603i) q^{44} +(-7.62581 + 5.59428i) q^{45} +(-15.7913 - 3.89220i) q^{46} +(9.01019 - 0.727377i) q^{47} +(-0.0273298 + 0.0985848i) q^{48} +(-8.14487 + 7.91385i) q^{49} +(8.25385 + 12.5669i) q^{50} +(-2.73740 - 1.12926i) q^{51} +(0.601764 + 0.104918i) q^{52} +(-8.63604 + 2.99402i) q^{53} +(-0.765761 + 0.937887i) q^{54} +(-9.52120 + 2.69857i) q^{55} +(4.13060 + 11.2814i) q^{56} +(2.01785 + 7.27885i) q^{57} +(-18.6209 - 10.8941i) q^{58} +(5.77740 - 2.46152i) q^{59} +(-19.5523 - 17.7275i) q^{60} +(-12.3353 + 5.76643i) q^{61} +(-21.9515 - 8.18094i) q^{62} +(-0.753272 + 11.8856i) q^{63} +(-12.9274 - 0.894010i) q^{64} +(0.383994 - 0.517173i) q^{65} +(13.7981 - 8.07253i) q^{66} +(1.54704 + 1.50316i) q^{67} +(0.750078 - 3.90276i) q^{68} +(7.50921 - 15.3662i) q^{69} +(33.1061 + 3.82665i) q^{70} +(6.29215 - 1.24688i) q^{71} +(6.90162 + 3.62225i) q^{72} +(2.67110 - 2.31208i) q^{73} +(-2.10073 + 1.65559i) q^{74} +(-14.7507 + 5.69150i) q^{75} +(-9.02979 + 4.60746i) q^{76} +(-5.08169 + 11.3784i) q^{77} +(-0.391267 + 0.964157i) q^{78} +(-10.4951 - 7.51496i) q^{79} +(-0.0738307 + 0.124546i) q^{80} +(-5.99321 - 7.51525i) q^{81} +(-1.77044 - 3.14964i) q^{82} +(9.64831 + 6.10122i) q^{83} +(-32.9176 + 4.57478i) q^{84} +(-3.32114 - 2.55600i) q^{85} +(-0.474489 + 4.32295i) q^{86} +(15.3348 - 16.7189i) q^{87} +(5.44333 + 6.07348i) q^{88} +(0.533021 + 6.16049i) q^{89} +(17.5798 - 12.5880i) q^{90} +(-0.189580 - 0.788656i) q^{91} +(22.2220 + 5.74928i) q^{92} +(13.2861 - 20.7451i) q^{93} +(-20.6165 + 1.42575i) q^{94} +(0.0615081 + 10.6898i) q^{95} +(3.81612 - 13.1748i) q^{96} +(2.05696 + 15.4524i) q^{97} +(18.8274 - 17.8769i) q^{98} +(2.51609 + 7.68350i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} + O(q^{10}) \) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} - 152q^{10} - 161q^{11} - 99q^{12} - 158q^{13} - 174q^{14} - 71q^{15} - 235q^{16} - 146q^{17} + 33q^{18} - 144q^{19} - 138q^{20} - 98q^{21} - 226q^{22} - 115q^{23} - 123q^{24} - 208q^{25} - 65q^{26} + 131q^{27} - 48q^{28} - 207q^{29} - 56q^{30} - 215q^{31} - 151q^{32} - 63q^{33} - 70q^{34} - 192q^{35} - 17q^{36} - 124q^{37} - 61q^{38} - 268q^{39} - 51q^{40} + 533q^{41} + 292q^{42} - 166q^{43} - 20q^{44} + 51q^{45} - 233q^{46} - 96q^{47} - 211q^{48} - 213q^{49} + 12q^{50} - 213q^{51} - 279q^{52} - 178q^{53} + 173q^{54} - 233q^{55} + 170q^{56} - 22q^{57} + 36q^{58} - 133q^{59} + 225q^{60} - 117q^{61} - 176q^{62} + 202q^{63} + 154q^{64} - 320q^{65} - 124q^{66} - 78q^{67} + 441q^{68} + 203q^{69} - 522q^{70} - 195q^{71} + 564q^{72} - 254q^{73} + 22q^{74} - 326q^{75} - 186q^{76} - 182q^{77} - 100q^{78} - 268q^{79} - 299q^{80} - 776q^{81} - 242q^{82} + 78q^{83} + 162q^{84} - 144q^{85} - 132q^{86} - 84q^{87} + 333q^{88} - 167q^{89} - 134q^{90} - 268q^{91} - 261q^{92} - 21q^{93} + 297q^{94} - 65q^{95} - 567q^{96} + 427q^{97} - 237q^{98} + 237q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/547\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{273}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.28601 0.0263078i −1.61645 0.0186024i −0.801451 0.598061i \(-0.795938\pi\)
−0.815002 + 0.579458i \(0.803264\pi\)
\(3\) 0.534963 2.34383i 0.308861 1.35321i −0.547489 0.836813i \(-0.684416\pi\)
0.856350 0.516395i \(-0.172727\pi\)
\(4\) 3.22568 + 0.0742532i 1.61284 + 0.0371266i
\(5\) 1.59850 3.00356i 0.714870 1.34323i −0.215462 0.976512i \(-0.569126\pi\)
0.930332 0.366719i \(-0.119519\pi\)
\(6\) −1.28459 + 5.34393i −0.524432 + 2.18165i
\(7\) −1.61107 3.96999i −0.608928 1.50052i −0.848261 0.529579i \(-0.822350\pi\)
0.239333 0.970938i \(-0.423071\pi\)
\(8\) −2.80238 0.0967850i −0.990791 0.0342187i
\(9\) −2.50442 1.20607i −0.834808 0.402022i
\(10\) −3.73320 + 6.82410i −1.18054 + 2.15797i
\(11\) −2.01484 2.09767i −0.607498 0.632472i 0.344424 0.938814i \(-0.388074\pi\)
−0.951921 + 0.306342i \(0.900895\pi\)
\(12\) 1.89965 7.52070i 0.548383 2.17104i
\(13\) 0.187204 + 0.0282164i 0.0519210 + 0.00782582i 0.174951 0.984577i \(-0.444023\pi\)
−0.123030 + 0.992403i \(0.539261\pi\)
\(14\) 3.57848 + 9.11783i 0.956390 + 2.43684i
\(15\) −6.18467 5.35339i −1.59688 1.38224i
\(16\) −0.0425084 0.00195807i −0.0106271 0.000489518i
\(17\) 0.204574 1.21461i 0.0496164 0.294587i −0.950240 0.311518i \(-0.899163\pi\)
0.999857 + 0.0169313i \(0.00538967\pi\)
\(18\) 5.69341 + 2.82297i 1.34195 + 0.665380i
\(19\) −2.76500 + 1.49202i −0.634335 + 0.342292i −0.760137 0.649763i \(-0.774868\pi\)
0.125802 + 0.992055i \(0.459850\pi\)
\(20\) 5.37926 9.56981i 1.20284 2.13987i
\(21\) −10.1668 + 1.65227i −2.21859 + 0.360555i
\(22\) 4.55076 + 4.84831i 0.970226 + 1.03366i
\(23\) 6.92646 + 1.62291i 1.44427 + 0.338399i 0.875148 0.483856i \(-0.160764\pi\)
0.569119 + 0.822255i \(0.307284\pi\)
\(24\) −1.72602 + 6.51651i −0.352322 + 1.33018i
\(25\) −3.67337 5.45502i −0.734674 1.09100i
\(26\) −0.427207 0.0694279i −0.0837822 0.0136159i
\(27\) 0.330212 0.414073i 0.0635493 0.0796883i
\(28\) −4.90201 12.9255i −0.926394 2.44270i
\(29\) 8.19936 + 4.67120i 1.52258 + 0.867421i 0.999889 + 0.0148999i \(0.00474296\pi\)
0.522693 + 0.852521i \(0.324927\pi\)
\(30\) 13.9974 + 12.4006i 2.55556 + 2.26403i
\(31\) 9.64244 + 3.46773i 1.73183 + 0.622823i 0.998379 0.0569153i \(-0.0181265\pi\)
0.733455 + 0.679738i \(0.237907\pi\)
\(32\) 5.69594 + 0.328097i 1.00691 + 0.0579999i
\(33\) −5.99445 + 3.60026i −1.04350 + 0.626725i
\(34\) −0.499611 + 2.77123i −0.0856826 + 0.475263i
\(35\) −14.4994 1.50708i −2.45084 0.254743i
\(36\) −7.98891 4.07635i −1.33149 0.679391i
\(37\) 0.910495 0.734706i 0.149685 0.120785i −0.550225 0.835016i \(-0.685458\pi\)
0.699910 + 0.714232i \(0.253224\pi\)
\(38\) 6.36007 3.33802i 1.03174 0.541499i
\(39\) 0.166281 0.423678i 0.0266263 0.0678428i
\(40\) −4.77029 + 8.26239i −0.754250 + 1.30640i
\(41\) 0.790218 + 1.36870i 0.123411 + 0.213755i 0.921111 0.389301i \(-0.127283\pi\)
−0.797700 + 0.603055i \(0.793950\pi\)
\(42\) 23.2850 3.50964i 3.59295 0.541549i
\(43\) 0.185775 1.89319i 0.0283304 0.288708i −0.970530 0.240981i \(-0.922531\pi\)
0.998860 0.0477276i \(-0.0151979\pi\)
\(44\) −6.34347 6.91603i −0.956315 1.04263i
\(45\) −7.62581 + 5.59428i −1.13679 + 0.833947i
\(46\) −15.7913 3.89220i −2.32830 0.573873i
\(47\) 9.01019 0.727377i 1.31427 0.106099i 0.596632 0.802515i \(-0.296505\pi\)
0.717638 + 0.696416i \(0.245223\pi\)
\(48\) −0.0273298 + 0.0985848i −0.00394472 + 0.0142295i
\(49\) −8.14487 + 7.91385i −1.16355 + 1.13055i
\(50\) 8.25385 + 12.5669i 1.16727 + 1.77722i
\(51\) −2.73740 1.12926i −0.383313 0.158128i
\(52\) 0.601764 + 0.104918i 0.0834496 + 0.0145494i
\(53\) −8.63604 + 2.99402i −1.18625 + 0.411260i −0.848102 0.529832i \(-0.822255\pi\)
−0.338148 + 0.941093i \(0.609801\pi\)
\(54\) −0.765761 + 0.937887i −0.104207 + 0.127630i
\(55\) −9.52120 + 2.69857i −1.28384 + 0.363875i
\(56\) 4.13060 + 11.2814i 0.551975 + 1.50753i
\(57\) 2.01785 + 7.27885i 0.267271 + 0.964108i
\(58\) −18.6209 10.8941i −2.44505 1.43047i
\(59\) 5.77740 2.46152i 0.752154 0.320463i 0.0183568 0.999831i \(-0.494157\pi\)
0.733797 + 0.679369i \(0.237746\pi\)
\(60\) −19.5523 17.7275i −2.52419 2.28861i
\(61\) −12.3353 + 5.76643i −1.57937 + 0.738316i −0.997202 0.0747536i \(-0.976183\pi\)
−0.582166 + 0.813070i \(0.697795\pi\)
\(62\) −21.9515 8.18094i −2.78784 1.03898i
\(63\) −0.753272 + 11.8856i −0.0949034 + 1.49745i
\(64\) −12.9274 0.894010i −1.61593 0.111751i
\(65\) 0.383994 0.517173i 0.0476286 0.0641474i
\(66\) 13.7981 8.07253i 1.69843 0.993660i
\(67\) 1.54704 + 1.50316i 0.189001 + 0.183641i 0.785288 0.619131i \(-0.212515\pi\)
−0.596286 + 0.802772i \(0.703358\pi\)
\(68\) 0.750078 3.90276i 0.0909603 0.473279i
\(69\) 7.50921 15.3662i 0.904002 1.84988i
\(70\) 33.1061 + 3.82665i 3.95694 + 0.457372i
\(71\) 6.29215 1.24688i 0.746740 0.147978i 0.193617 0.981077i \(-0.437978\pi\)
0.553123 + 0.833099i \(0.313436\pi\)
\(72\) 6.90162 + 3.62225i 0.813364 + 0.426886i
\(73\) 2.67110 2.31208i 0.312629 0.270608i −0.484012 0.875061i \(-0.660821\pi\)
0.796641 + 0.604453i \(0.206608\pi\)
\(74\) −2.10073 + 1.65559i −0.244205 + 0.192459i
\(75\) −14.7507 + 5.69150i −1.70327 + 0.657198i
\(76\) −9.02979 + 4.60746i −1.03579 + 0.528511i
\(77\) −5.08169 + 11.3784i −0.579113 + 1.29669i
\(78\) −0.391267 + 0.964157i −0.0443022 + 0.109169i
\(79\) −10.4951 7.51496i −1.18079 0.845499i −0.190116 0.981762i \(-0.560887\pi\)
−0.990673 + 0.136262i \(0.956491\pi\)
\(80\) −0.0738307 + 0.124546i −0.00825453 + 0.0139247i
\(81\) −5.99321 7.51525i −0.665912 0.835028i
\(82\) −1.77044 3.14964i −0.195512 0.347820i
\(83\) 9.64831 + 6.10122i 1.05904 + 0.669696i 0.946090 0.323904i \(-0.104996\pi\)
0.112950 + 0.993601i \(0.463970\pi\)
\(84\) −32.9176 + 4.57478i −3.59161 + 0.499149i
\(85\) −3.32114 2.55600i −0.360229 0.277237i
\(86\) −0.474489 + 4.32295i −0.0511655 + 0.466156i
\(87\) 15.3348 16.7189i 1.64407 1.79246i
\(88\) 5.44333 + 6.07348i 0.580261 + 0.647436i
\(89\) 0.533021 + 6.16049i 0.0565001 + 0.653011i 0.969506 + 0.245066i \(0.0788095\pi\)
−0.913006 + 0.407945i \(0.866245\pi\)
\(90\) 17.5798 12.5880i 1.85308 1.32689i
\(91\) −0.189580 0.788656i −0.0198733 0.0826736i
\(92\) 22.2220 + 5.74928i 2.31681 + 0.599404i
\(93\) 13.2861 20.7451i 1.37771 2.15117i
\(94\) −20.6165 + 1.42575i −2.12643 + 0.147055i
\(95\) 0.0615081 + 10.6898i 0.00631060 + 1.09675i
\(96\) 3.81612 13.1748i 0.389481 1.34464i
\(97\) 2.05696 + 15.4524i 0.208853 + 1.56895i 0.710384 + 0.703814i \(0.248521\pi\)
−0.501531 + 0.865139i \(0.667230\pi\)
\(98\) 18.8274 17.8769i 1.90186 1.80584i
\(99\) 2.51609 + 7.68350i 0.252876 + 0.772221i
\(100\) −11.4441 17.8689i −1.14441 1.78689i
\(101\) −1.79578 2.41860i −0.178687 0.240660i 0.704474 0.709729i \(-0.251183\pi\)
−0.883161 + 0.469070i \(0.844589\pi\)
\(102\) 6.22801 + 2.65351i 0.616665 + 0.262736i
\(103\) −6.66155 14.4664i −0.656382 1.42542i −0.891305 0.453405i \(-0.850209\pi\)
0.234923 0.972014i \(-0.424516\pi\)
\(104\) −0.521885 0.0971916i −0.0511750 0.00953042i
\(105\) −11.2890 + 33.1778i −1.10169 + 3.23782i
\(106\) 19.8208 6.61716i 1.92517 0.642716i
\(107\) −1.04221 + 0.256882i −0.100755 + 0.0248338i −0.289371 0.957217i \(-0.593446\pi\)
0.188616 + 0.982051i \(0.439600\pi\)
\(108\) 1.09590 1.31115i 0.105453 0.126165i
\(109\) 3.97631 + 7.68335i 0.380862 + 0.735931i 0.998732 0.0503493i \(-0.0160335\pi\)
−0.617870 + 0.786280i \(0.712004\pi\)
\(110\) 21.8365 5.91847i 2.08203 0.564304i
\(111\) −1.23494 2.52708i −0.117215 0.239860i
\(112\) 0.0607105 + 0.171913i 0.00573661 + 0.0162442i
\(113\) 0.0543812 + 1.88974i 0.00511576 + 0.177772i 0.998184 + 0.0602347i \(0.0191849\pi\)
−0.993068 + 0.117537i \(0.962500\pi\)
\(114\) −4.42134 16.6926i −0.414097 1.56341i
\(115\) 15.9464 18.2098i 1.48701 1.69807i
\(116\) 26.1016 + 15.6766i 2.42348 + 1.45554i
\(117\) −0.434807 0.296446i −0.0401979 0.0274065i
\(118\) −13.2720 + 5.47507i −1.22178 + 0.504021i
\(119\) −5.15159 + 1.14467i −0.472245 + 0.104932i
\(120\) 16.8137 + 15.6008i 1.53487 + 1.42415i
\(121\) 0.102283 2.53812i 0.00929842 0.230738i
\(122\) 28.3502 12.8576i 2.56671 1.16407i
\(123\) 3.63072 1.11993i 0.327371 0.100981i
\(124\) 30.8459 + 11.9018i 2.77005 + 1.06881i
\(125\) −5.33531 + 0.554557i −0.477205 + 0.0496011i
\(126\) 2.03467 27.1508i 0.181263 2.41879i
\(127\) −1.67378 + 4.57139i −0.148524 + 0.405645i −0.991132 0.132884i \(-0.957576\pi\)
0.842607 + 0.538529i \(0.181020\pi\)
\(128\) 18.1550 + 1.46562i 1.60469 + 0.129544i
\(129\) −4.33791 1.44821i −0.381932 0.127508i
\(130\) −0.891420 + 1.17216i −0.0781827 + 0.102805i
\(131\) −15.9519 3.35233i −1.39373 0.292894i −0.552470 0.833533i \(-0.686315\pi\)
−0.841255 + 0.540638i \(0.818183\pi\)
\(132\) −19.6035 + 11.1682i −1.70626 + 0.972065i
\(133\) 10.3779 + 8.57329i 0.899879 + 0.743399i
\(134\) −3.49701 3.47695i −0.302096 0.300363i
\(135\) −0.715848 1.65370i −0.0616104 0.142328i
\(136\) −0.690849 + 3.38400i −0.0592399 + 0.290176i
\(137\) −10.7602 + 0.247693i −0.919304 + 0.0211618i −0.480088 0.877220i \(-0.659395\pi\)
−0.439215 + 0.898382i \(0.644743\pi\)
\(138\) −17.5704 + 34.9298i −1.49569 + 2.97342i
\(139\) −3.82108 1.73297i −0.324100 0.146988i 0.244393 0.969676i \(-0.421411\pi\)
−0.568493 + 0.822688i \(0.692473\pi\)
\(140\) −46.6585 5.93798i −3.94336 0.501851i
\(141\) 3.11527 21.5074i 0.262353 1.81125i
\(142\) −14.4167 + 2.68485i −1.20982 + 0.225308i
\(143\) −0.317997 0.449544i −0.0265923 0.0375927i
\(144\) 0.104098 + 0.0561718i 0.00867479 + 0.00468099i
\(145\) 27.1369 17.1603i 2.25359 1.42509i
\(146\) −6.16699 + 5.21516i −0.510384 + 0.431610i
\(147\) 14.1915 + 23.3238i 1.17049 + 1.92371i
\(148\) 2.99152 2.30232i 0.245901 0.189249i
\(149\) −1.07592 + 1.09465i −0.0881425 + 0.0896773i −0.755844 0.654752i \(-0.772773\pi\)
0.667701 + 0.744430i \(0.267278\pi\)
\(150\) 33.8700 12.6228i 2.76548 1.03065i
\(151\) 1.04491 + 3.45804i 0.0850336 + 0.281411i 0.989372 0.145405i \(-0.0464485\pi\)
−0.904339 + 0.426816i \(0.859635\pi\)
\(152\) 7.89299 3.91359i 0.640206 0.317434i
\(153\) −1.97724 + 2.79517i −0.159851 + 0.225977i
\(154\) 11.9161 25.8775i 0.960230 2.08527i
\(155\) 25.8289 23.4184i 2.07463 1.88101i
\(156\) 0.567829 1.35430i 0.0454627 0.108431i
\(157\) 15.5041 + 18.5492i 1.23736 + 1.48039i 0.820731 + 0.571314i \(0.193566\pi\)
0.416632 + 0.909075i \(0.363210\pi\)
\(158\) 23.7942 + 17.4554i 1.89296 + 1.38868i
\(159\) 2.39750 + 21.8430i 0.190134 + 1.73227i
\(160\) 10.0904 16.5836i 0.797717 1.31105i
\(161\) −4.71610 30.1126i −0.371681 2.37321i
\(162\) 13.5028 + 17.3376i 1.06088 + 1.36217i
\(163\) −0.122258 + 0.388402i −0.00957598 + 0.0304220i −0.958528 0.284999i \(-0.908007\pi\)
0.948952 + 0.315421i \(0.102146\pi\)
\(164\) 2.44736 + 4.47365i 0.191106 + 0.349334i
\(165\) 1.23148 + 23.7597i 0.0958708 + 1.84969i
\(166\) −21.8956 14.2013i −1.69943 1.10223i
\(167\) −0.0190533 + 1.10369i −0.00147439 + 0.0854065i 0.998201 + 0.0599481i \(0.0190935\pi\)
−0.999676 + 0.0254583i \(0.991895\pi\)
\(168\) 28.6512 3.64630i 2.21049 0.281318i
\(169\) −12.3882 3.82125i −0.952938 0.293943i
\(170\) 7.52492 + 5.93042i 0.577135 + 0.454842i
\(171\) 8.72421 0.401865i 0.667157 0.0307314i
\(172\) 0.739826 6.09301i 0.0564112 0.464588i
\(173\) 0.754514 0.501798i 0.0573646 0.0381510i −0.524764 0.851248i \(-0.675846\pi\)
0.582129 + 0.813097i \(0.302220\pi\)
\(174\) −35.4954 + 37.8162i −2.69090 + 2.86684i
\(175\) −15.7383 + 23.3717i −1.18970 + 1.76673i
\(176\) 0.0815403 + 0.0931139i 0.00614633 + 0.00701873i
\(177\) −2.67868 14.8580i −0.201342 1.11680i
\(178\) −1.05642 14.0970i −0.0791821 1.05661i
\(179\) 11.0474 + 3.13113i 0.825720 + 0.234031i 0.659163 0.752000i \(-0.270911\pi\)
0.166557 + 0.986032i \(0.446735\pi\)
\(180\) −25.0138 + 17.4791i −1.86442 + 1.30282i
\(181\) 0.458954 + 2.24811i 0.0341138 + 0.167100i 0.993279 0.115747i \(-0.0369262\pi\)
−0.959165 + 0.282847i \(0.908721\pi\)
\(182\) 0.412633 + 1.80786i 0.0305864 + 0.134008i
\(183\) 6.91661 + 31.9965i 0.511290 + 2.36525i
\(184\) −19.2535 5.21837i −1.41939 0.384704i
\(185\) −0.751306 3.90915i −0.0552371 0.287406i
\(186\) −30.9179 + 47.0739i −2.26701 + 3.45163i
\(187\) −2.96004 + 2.01812i −0.216460 + 0.147580i
\(188\) 29.1180 1.67725i 2.12365 0.122326i
\(189\) −2.17586 0.643839i −0.158271 0.0468324i
\(190\) 0.140617 24.4387i 0.0102015 1.77297i
\(191\) −1.15446 18.2159i −0.0835341 1.31805i −0.791222 0.611529i \(-0.790555\pi\)
0.707688 0.706525i \(-0.249738\pi\)
\(192\) −9.01111 + 29.8214i −0.650321 + 2.15218i
\(193\) −2.88197 17.1111i −0.207449 1.23168i −0.873889 0.486125i \(-0.838410\pi\)
0.666440 0.745558i \(-0.267817\pi\)
\(194\) −4.29572 35.3784i −0.308415 2.54002i
\(195\) −1.00674 1.17668i −0.0720941 0.0842640i
\(196\) −26.8603 + 24.9228i −1.91860 + 1.78020i
\(197\) −5.52007 + 7.99720i −0.393289 + 0.569777i −0.968746 0.248055i \(-0.920209\pi\)
0.575457 + 0.817832i \(0.304824\pi\)
\(198\) −5.54966 17.6307i −0.394397 1.25296i
\(199\) −8.25690 + 8.59634i −0.585316 + 0.609378i −0.946338 0.323179i \(-0.895248\pi\)
0.361022 + 0.932557i \(0.382428\pi\)
\(200\) 9.76621 + 15.6426i 0.690575 + 1.10610i
\(201\) 4.35077 2.82186i 0.306879 0.199039i
\(202\) 4.04154 + 5.57619i 0.284362 + 0.392339i
\(203\) 5.33490 40.0770i 0.374437 2.81286i
\(204\) −8.74612 3.84588i −0.612351 0.269266i
\(205\) 5.37412 0.185604i 0.375345 0.0129632i
\(206\) 14.8478 + 33.2456i 1.03449 + 2.31633i
\(207\) −15.3895 12.4182i −1.06964 0.863126i
\(208\) −0.00790248 0.00156599i −0.000547938 0.000108582i
\(209\) 8.70081 + 2.79389i 0.601847 + 0.193258i
\(210\) 26.6795 75.5478i 1.84106 5.21329i
\(211\) 2.61001 0.301684i 0.179680 0.0207688i −0.0245121 0.999700i \(-0.507803\pi\)
0.204192 + 0.978931i \(0.434543\pi\)
\(212\) −28.0794 + 9.01649i −1.92850 + 0.619255i
\(213\) 0.443591 15.4147i 0.0303944 1.05620i
\(214\) 2.38927 0.559817i 0.163327 0.0382683i
\(215\) −5.38933 3.58424i −0.367549 0.244443i
\(216\) −0.965455 + 1.12843i −0.0656909 + 0.0767799i
\(217\) −1.76779 43.8672i −0.120005 2.97790i
\(218\) −8.88776 17.6688i −0.601955 1.19668i
\(219\) −3.99017 7.49747i −0.269630 0.506632i
\(220\) −30.9127 + 7.99773i −2.08413 + 0.539207i
\(221\) 0.0725689 0.221607i 0.00488152 0.0149069i
\(222\) 2.75661 + 5.80942i 0.185011 + 0.389903i
\(223\) −15.4371 20.2988i −1.03375 1.35931i −0.931170 0.364586i \(-0.881210\pi\)
−0.102578 0.994725i \(-0.532709\pi\)
\(224\) −7.87403 23.1414i −0.526106 1.54620i
\(225\) 2.62056 + 18.0920i 0.174704 + 1.20613i
\(226\) −0.0746012 4.32139i −0.00496240 0.287455i
\(227\) −8.51295 + 13.6352i −0.565025 + 0.905001i 0.434965 + 0.900447i \(0.356761\pi\)
−0.999990 + 0.00455339i \(0.998551\pi\)
\(228\) 5.96847 + 23.6291i 0.395271 + 1.56487i
\(229\) 0.606941 + 6.18518i 0.0401078 + 0.408728i 0.994065 + 0.108786i \(0.0346963\pi\)
−0.953957 + 0.299942i \(0.903033\pi\)
\(230\) −36.9327 + 41.2083i −2.43527 + 2.71719i
\(231\) 23.9505 + 17.9976i 1.57583 + 1.18416i
\(232\) −22.5256 13.8841i −1.47888 0.911533i
\(233\) 1.61938 + 1.98338i 0.106089 + 0.129936i 0.824920 0.565249i \(-0.191220\pi\)
−0.718831 + 0.695185i \(0.755323\pi\)
\(234\) 0.986173 + 0.689118i 0.0644682 + 0.0450490i
\(235\) 12.2180 28.2253i 0.797017 1.84122i
\(236\) 18.8188 7.51109i 1.22500 0.488930i
\(237\) −23.2282 + 20.5784i −1.50884 + 1.33671i
\(238\) 11.8067 2.48120i 0.765314 0.160832i
\(239\) 6.09463 12.8442i 0.394229 0.830820i −0.605168 0.796098i \(-0.706894\pi\)
0.999397 0.0347223i \(-0.0110547\pi\)
\(240\) 0.252418 + 0.239674i 0.0162935 + 0.0154709i
\(241\) −14.9891 + 20.6808i −0.965534 + 1.33216i −0.0224009 + 0.999749i \(0.507131\pi\)
−0.943133 + 0.332415i \(0.892136\pi\)
\(242\) −0.300591 + 5.79947i −0.0193227 + 0.372804i
\(243\) −19.3891 + 9.33728i −1.24381 + 0.598987i
\(244\) −40.2178 + 17.6847i −2.57468 + 1.13215i
\(245\) 10.7501 + 37.1138i 0.686802 + 2.37112i
\(246\) −8.32933 + 2.46465i −0.531059 + 0.157141i
\(247\) −0.559718 + 0.201293i −0.0356140 + 0.0128079i
\(248\) −26.6862 10.6511i −1.69457 0.676349i
\(249\) 19.4617 19.3500i 1.23333 1.22626i
\(250\) 12.2112 1.12736i 0.772302 0.0713007i
\(251\) −18.7792 + 14.1116i −1.18533 + 0.890718i −0.995836 0.0911643i \(-0.970941\pi\)
−0.189494 + 0.981882i \(0.560685\pi\)
\(252\) −3.31236 + 38.2832i −0.208659 + 2.41162i
\(253\) −10.5514 17.7994i −0.663361 1.11904i
\(254\) 3.94655 10.4062i 0.247629 0.652943i
\(255\) −7.76751 + 6.41682i −0.486420 + 0.401837i
\(256\) −15.6570 1.44549i −0.978563 0.0903432i
\(257\) 7.93457 4.89061i 0.494945 0.305068i −0.254572 0.967054i \(-0.581934\pi\)
0.749516 + 0.661986i \(0.230286\pi\)
\(258\) 9.87841 + 3.42474i 0.615003 + 0.213215i
\(259\) −4.38365 2.43100i −0.272387 0.151055i
\(260\) 1.27704 1.63972i 0.0791988 0.101691i
\(261\) −14.9009 21.5877i −0.922341 1.33624i
\(262\) 36.3780 + 8.08312i 2.24744 + 0.499377i
\(263\) −17.4815 + 3.04791i −1.07796 + 0.187942i −0.682751 0.730651i \(-0.739217\pi\)
−0.395206 + 0.918593i \(0.629327\pi\)
\(264\) 17.1472 9.50913i 1.05533 0.585246i
\(265\) −4.81197 + 30.7247i −0.295597 + 1.88741i
\(266\) −23.4985 19.8717i −1.44078 1.21841i
\(267\) 14.7243 + 2.04633i 0.901110 + 0.125233i
\(268\) 4.87865 + 4.96360i 0.298011 + 0.303200i
\(269\) 6.67328 + 3.11960i 0.406877 + 0.190205i 0.616109 0.787661i \(-0.288708\pi\)
−0.209232 + 0.977866i \(0.567096\pi\)
\(270\) 1.59293 + 3.79922i 0.0969426 + 0.231213i
\(271\) −2.87937 + 5.56374i −0.174909 + 0.337973i −0.959345 0.282237i \(-0.908923\pi\)
0.784436 + 0.620210i \(0.212953\pi\)
\(272\) −0.0110744 + 0.0512306i −0.000671484 + 0.00310631i
\(273\) −1.94989 + 0.0224397i −0.118013 + 0.00135811i
\(274\) 24.6044 0.283151i 1.48640 0.0171058i
\(275\) −4.04158 + 18.6965i −0.243716 + 1.12744i
\(276\) 25.3633 49.0089i 1.52669 2.94999i
\(277\) 0.992991 + 2.36833i 0.0596630 + 0.142299i 0.949302 0.314365i \(-0.101791\pi\)
−0.889639 + 0.456664i \(0.849044\pi\)
\(278\) 8.68944 + 4.06210i 0.521158 + 0.243629i
\(279\) −19.9665 20.3141i −1.19536 1.21617i
\(280\) 40.4869 + 5.62673i 2.41956 + 0.336262i
\(281\) 6.28719 + 5.31681i 0.375062 + 0.317174i 0.813475 0.581599i \(-0.197573\pi\)
−0.438413 + 0.898774i \(0.644459\pi\)
\(282\) −7.68735 + 49.0842i −0.457775 + 2.92292i
\(283\) 27.1711 15.0680i 1.61516 0.895700i 0.621478 0.783432i \(-0.286533\pi\)
0.993678 0.112268i \(-0.0358116\pi\)
\(284\) 20.3890 3.55483i 1.20987 0.210940i
\(285\) 25.0880 + 5.57449i 1.48608 + 0.330204i
\(286\) 0.715118 + 1.03603i 0.0422858 + 0.0612616i
\(287\) 4.16062 5.34223i 0.245594 0.315342i
\(288\) −13.8694 7.69139i −0.817260 0.453219i
\(289\) 14.6287 + 5.07160i 0.860510 + 0.298330i
\(290\) −62.4866 + 38.5147i −3.66934 + 2.26166i
\(291\) 37.3181 + 3.44529i 2.18763 + 0.201967i
\(292\) 8.78779 7.25968i 0.514267 0.424841i
\(293\) 1.66166 4.38144i 0.0970753 0.255966i −0.877678 0.479251i \(-0.840909\pi\)
0.974753 + 0.223284i \(0.0716778\pi\)
\(294\) −31.8283 53.6917i −1.85626 3.13136i
\(295\) 1.84185 21.2875i 0.107236 1.23941i
\(296\) −2.62266 + 1.97080i −0.152439 + 0.114551i
\(297\) −1.53391 + 0.141614i −0.0890067 + 0.00821731i
\(298\) 2.48835 2.47408i 0.144146 0.143319i
\(299\) 1.25087 + 0.499254i 0.0723395 + 0.0288726i
\(300\) −48.0037 + 17.2637i −2.77149 + 0.996718i
\(301\) −7.81523 + 2.31253i −0.450463 + 0.133292i
\(302\) −2.29770 7.93259i −0.132218 0.456469i
\(303\) −6.62945 + 2.91513i −0.380852 + 0.167470i
\(304\) 0.120457 0.0580092i 0.00690870 0.00332705i
\(305\) −2.39807 + 46.2673i −0.137313 + 2.64926i
\(306\) 4.59353 6.33778i 0.262595 0.362307i
\(307\) 18.1634 + 17.2464i 1.03664 + 0.984304i 0.999887 0.0150203i \(-0.00478128\pi\)
0.0367554 + 0.999324i \(0.488298\pi\)
\(308\) −17.2368 + 36.3258i −0.982157 + 2.06985i
\(309\) −37.4704 + 7.87450i −2.13162 + 0.447965i
\(310\) −59.6613 + 52.8553i −3.38853 + 3.00198i
\(311\) 8.42669 3.36331i 0.477834 0.190716i −0.119299 0.992858i \(-0.538065\pi\)
0.597133 + 0.802142i \(0.296307\pi\)
\(312\) −0.506989 + 1.17121i −0.0287026 + 0.0663069i
\(313\) 6.70877 + 4.68795i 0.379202 + 0.264979i 0.746858 0.664983i \(-0.231561\pi\)
−0.367656 + 0.929962i \(0.619840\pi\)
\(314\) −34.9546 42.8116i −1.97260 2.41600i
\(315\) 34.4950 + 21.2616i 1.94357 + 1.19796i
\(316\) −33.2958 25.0201i −1.87303 1.40749i
\(317\) 11.4800 12.8090i 0.644781 0.719425i −0.329652 0.944102i \(-0.606931\pi\)
0.974433 + 0.224678i \(0.0721329\pi\)
\(318\) −4.90607 49.9965i −0.275119 2.80366i
\(319\) −6.72175 26.6113i −0.376346 1.48995i
\(320\) −23.3497 + 37.3992i −1.30529 + 2.09068i
\(321\) 0.0445423 + 2.58019i 0.00248611 + 0.144012i
\(322\) 9.98886 + 68.9618i 0.556657 + 3.84309i
\(323\) 1.24657 + 3.66363i 0.0693613 + 0.203850i
\(324\) −18.7741 24.6868i −1.04301 1.37149i
\(325\) −0.533747 1.12485i −0.0296070 0.0623953i
\(326\) 0.289701 0.884674i 0.0160450 0.0489976i
\(327\) 20.1356 5.20948i 1.11350 0.288085i
\(328\) −2.08202 3.91209i −0.114960 0.216009i
\(329\) −17.4037 34.5985i −0.959499 1.90748i
\(330\) −2.19012 54.3472i −0.120562 2.99171i
\(331\) 3.99183 4.66568i 0.219411 0.256449i −0.639242 0.769005i \(-0.720752\pi\)
0.858654 + 0.512556i \(0.171301\pi\)
\(332\) 30.6693 + 20.3970i 1.68320 + 1.11943i
\(333\) −3.16637 + 0.741897i −0.173516 + 0.0406557i
\(334\) 0.0725919 2.52256i 0.00397205 0.138028i
\(335\) 6.98778 2.24383i 0.381783 0.122593i
\(336\) 0.435411 0.0503280i 0.0237536 0.00274562i
\(337\) −8.15674 + 23.0973i −0.444326 + 1.25819i 0.480231 + 0.877142i \(0.340553\pi\)
−0.924556 + 0.381045i \(0.875564\pi\)
\(338\) 28.2190 + 9.06133i 1.53491 + 0.492871i
\(339\) 4.45831 + 0.883481i 0.242142 + 0.0479841i
\(340\) −10.5231 8.49144i −0.570698 0.460513i
\(341\) −12.1538 27.2136i −0.658167 1.47370i
\(342\) −19.9542 + 0.689153i −1.07900 + 0.0372651i
\(343\) 17.0858 + 7.51306i 0.922549 + 0.405667i
\(344\) −0.703845 + 5.28745i −0.0379488 + 0.285080i
\(345\) −34.1499 47.1172i −1.83857 2.53670i
\(346\) −1.73803 + 1.12727i −0.0934369 + 0.0606022i
\(347\) −14.5599 23.3207i −0.781619 1.25192i −0.963264 0.268556i \(-0.913454\pi\)
0.181645 0.983364i \(-0.441858\pi\)
\(348\) 50.7067 52.7912i 2.71816 2.82991i
\(349\) 10.2286 + 32.4953i 0.547525 + 1.73944i 0.665479 + 0.746417i \(0.268227\pi\)
−0.117953 + 0.993019i \(0.537633\pi\)
\(350\) 36.5928 53.0138i 1.95597 2.83371i
\(351\) 0.0735005 0.0681985i 0.00392317 0.00364017i
\(352\) −10.7882 12.6093i −0.575012 0.672078i
\(353\) −4.12088 33.9385i −0.219332 1.80636i −0.521655 0.853157i \(-0.674685\pi\)
0.302323 0.953206i \(-0.402238\pi\)
\(354\) 5.73261 + 34.0361i 0.304685 + 1.80900i
\(355\) 6.31290 20.8919i 0.335054 1.10883i
\(356\) 1.26192 + 19.9113i 0.0668815 + 1.05530i
\(357\) −0.0729984 + 12.6868i −0.00386348 + 0.671455i
\(358\) −25.1720 7.44842i −1.33038 0.393661i
\(359\) −10.0465 + 0.578700i −0.530236 + 0.0305426i −0.320560 0.947228i \(-0.603871\pi\)
−0.209676 + 0.977771i \(0.567241\pi\)
\(360\) 21.9118 14.9392i 1.15486 0.787367i
\(361\) −5.01140 + 7.63008i −0.263758 + 0.401583i
\(362\) −0.990031 5.15127i −0.0520349 0.270745i
\(363\) −5.89419 1.59753i −0.309365 0.0838486i
\(364\) −0.552962 2.55803i −0.0289831 0.134077i
\(365\) −2.67471 11.7186i −0.140000 0.613382i
\(366\) −14.9697 73.3263i −0.782477 3.83283i
\(367\) 2.49912 1.74633i 0.130453 0.0911577i −0.505748 0.862681i \(-0.668783\pi\)
0.636201 + 0.771524i \(0.280505\pi\)
\(368\) −0.291255 0.0825496i −0.0151827 0.00430320i
\(369\) −0.328300 4.38085i −0.0170906 0.228058i
\(370\) 1.61465 + 8.95612i 0.0839418 + 0.465606i
\(371\) 25.7995 + 29.4614i 1.33944 + 1.52956i
\(372\) 44.3971 65.9304i 2.30188 3.41833i
\(373\) −17.6326 + 18.7854i −0.912980 + 0.972673i −0.999722 0.0235577i \(-0.992501\pi\)
0.0867429 + 0.996231i \(0.472354\pi\)
\(374\) 6.81978 4.53558i 0.352642 0.234529i
\(375\) −1.55441 + 12.8017i −0.0802693 + 0.661077i
\(376\) −25.3204 + 1.16634i −1.30580 + 0.0601492i
\(377\) 1.40314 + 1.10582i 0.0722656 + 0.0569528i
\(378\) 4.95710 + 1.52906i 0.254966 + 0.0786465i
\(379\) 33.8883 4.31279i 1.74073 0.221533i 0.809792 0.586718i \(-0.199580\pi\)
0.930935 + 0.365184i \(0.118994\pi\)
\(380\) −0.595347 + 34.4865i −0.0305407 + 1.76912i
\(381\) 9.81912 + 6.36858i 0.503049 + 0.326272i
\(382\) 2.15990 + 41.6720i 0.110510 + 2.13213i
\(383\) −3.76785 6.88746i −0.192528 0.351933i 0.763210 0.646151i \(-0.223622\pi\)
−0.955738 + 0.294218i \(0.904941\pi\)
\(384\) 13.1474 41.7680i 0.670925 2.13147i
\(385\) 26.0526 + 33.4515i 1.32776 + 1.70485i
\(386\) 6.13807 + 39.1919i 0.312419 + 1.99482i
\(387\) −2.74857 + 4.51728i −0.139718 + 0.229626i
\(388\) 5.48771 + 49.9972i 0.278596 + 2.53822i
\(389\) 31.4545 + 23.0750i 1.59481 + 1.16995i 0.885044 + 0.465507i \(0.154128\pi\)
0.709762 + 0.704442i \(0.248803\pi\)
\(390\) 2.27046 + 2.71639i 0.114969 + 0.137550i
\(391\) 3.38817 8.08096i 0.171347 0.408672i
\(392\) 23.5909 21.3893i 1.19152 1.08032i
\(393\) −16.3910 + 35.5951i −0.826814 + 1.79554i
\(394\) 12.8293 18.1365i 0.646332 0.913702i
\(395\) −39.3480 + 19.5099i −1.97981 + 0.981651i
\(396\) 7.54556 + 24.9713i 0.379179 + 1.25486i
\(397\) −4.99071 + 1.85995i −0.250477 + 0.0933483i −0.471324 0.881960i \(-0.656224\pi\)
0.220848 + 0.975308i \(0.429118\pi\)
\(398\) 19.1015 19.4341i 0.957472 0.974143i
\(399\) 25.6461 19.7376i 1.28391 0.988117i
\(400\) 0.145468 + 0.239077i 0.00727339 + 0.0119538i
\(401\) 15.8235 13.3812i 0.790186 0.668227i −0.157468 0.987524i \(-0.550333\pi\)
0.947655 + 0.319297i \(0.103447\pi\)
\(402\) −10.0201 + 6.33635i −0.499759 + 0.316028i
\(403\) 1.70725 + 0.921247i 0.0850443 + 0.0458906i
\(404\) −5.61302 7.93497i −0.279258 0.394780i
\(405\) −32.1526 + 5.98784i −1.59768 + 0.297538i
\(406\) −13.2500 + 91.4761i −0.657585 + 4.53988i
\(407\) −3.37568 0.429605i −0.167326 0.0212947i
\(408\) 7.56194 + 3.42955i 0.374372 + 0.169788i
\(409\) 10.9400 21.7486i 0.540947 1.07540i −0.442930 0.896556i \(-0.646061\pi\)
0.983877 0.178844i \(-0.0572357\pi\)
\(410\) −12.2902 + 0.282912i −0.606968 + 0.0139720i
\(411\) −5.17574 + 25.3525i −0.255301 + 1.25055i
\(412\) −20.4138 47.1587i −1.00572 2.32334i
\(413\) −19.0800 18.9706i −0.938867 0.933481i
\(414\) 34.8538 + 28.7930i 1.71297 + 1.41510i
\(415\) 33.7482 19.2265i 1.65663 0.943790i
\(416\) 1.05704 + 0.222140i 0.0518258 + 0.0108913i
\(417\) −6.10591 + 8.02888i −0.299008 + 0.393176i
\(418\) −19.8166 6.61576i −0.969263 0.323587i
\(419\) −7.59806 0.613379i −0.371190 0.0299655i −0.106535 0.994309i \(-0.533976\pi\)
−0.264654 + 0.964343i \(0.585258\pi\)
\(420\) −38.8781 + 106.183i −1.89706 + 5.18118i
\(421\) −1.27798 + 17.0534i −0.0622848 + 0.831132i 0.875345 + 0.483498i \(0.160634\pi\)
−0.937630 + 0.347634i \(0.886985\pi\)
\(422\) −5.97444 + 0.620989i −0.290831 + 0.0302293i
\(423\) −23.4426 9.04523i −1.13982 0.439794i
\(424\) 24.4912 7.55454i 1.18940 0.366881i
\(425\) −7.37720 + 3.34577i −0.357847 + 0.162293i
\(426\) −1.41958 + 35.2265i −0.0687789 + 1.70673i
\(427\) 42.7657 + 39.6808i 2.06958 + 1.92029i
\(428\) −3.38092 + 0.751233i −0.163423 + 0.0363122i
\(429\) −1.22377 + 0.504840i −0.0590841 + 0.0243739i
\(430\) 12.2258 + 8.33538i 0.589579 + 0.401968i
\(431\) 14.8975 + 8.94746i 0.717589 + 0.430984i 0.826404 0.563078i \(-0.190383\pi\)
−0.108814 + 0.994062i \(0.534705\pi\)
\(432\) −0.0148476 + 0.0169550i −0.000714354 + 0.000815747i
\(433\) −4.74432 17.9120i −0.227998 0.860797i −0.979563 0.201138i \(-0.935536\pi\)
0.751565 0.659659i \(-0.229299\pi\)
\(434\) 2.88713 + 100.327i 0.138587 + 4.81587i
\(435\) −25.7036 72.7842i −1.23239 3.48973i
\(436\) 12.2558 + 25.0793i 0.586946 + 1.20108i
\(437\) −21.5731 + 5.84706i −1.03198 + 0.279703i
\(438\) 8.92431 + 17.2443i 0.426420 + 0.823963i
\(439\) 5.16604 6.18069i 0.246562 0.294988i −0.629685 0.776851i \(-0.716816\pi\)
0.876247 + 0.481862i \(0.160039\pi\)
\(440\) 26.9432 6.64090i 1.28447 0.316592i
\(441\) 29.9428 9.99639i 1.42585 0.476019i
\(442\) −0.171723 + 0.504688i −0.00816804 + 0.0240055i
\(443\) 26.6455 + 4.96224i 1.26596 + 0.235763i 0.773067 0.634325i \(-0.218722\pi\)
0.492897 + 0.870088i \(0.335938\pi\)
\(444\) −3.79588 8.24325i −0.180144 0.391207i
\(445\) 19.3554 + 8.24657i 0.917534 + 0.390925i
\(446\) 34.7554 + 46.8095i 1.64572 + 2.21649i
\(447\) 1.99009 + 3.10736i 0.0941282 + 0.146973i
\(448\) 17.2778 + 52.7622i 0.816301 + 2.49278i
\(449\) −9.24969 + 8.78269i −0.436520 + 0.414481i −0.874896 0.484311i \(-0.839070\pi\)
0.438376 + 0.898792i \(0.355554\pi\)
\(450\) −5.51466 41.4274i −0.259964 1.95291i
\(451\) 1.27892 4.41533i 0.0602218 0.207910i
\(452\) 0.0350972 + 6.09973i 0.00165083 + 0.286907i
\(453\) 8.66402 0.599168i 0.407071 0.0281514i
\(454\) 19.8194 30.9463i 0.930171 1.45238i
\(455\) −2.67181 0.691252i −0.125257 0.0324064i
\(456\) −4.95031 20.5934i −0.231819 0.964375i
\(457\) 22.9250 16.4154i 1.07239 0.767879i 0.0985522 0.995132i \(-0.468579\pi\)
0.973836 + 0.227253i \(0.0729745\pi\)
\(458\) −1.22476 14.1553i −0.0572290 0.661436i
\(459\) −0.435385 0.485788i −0.0203220 0.0226746i
\(460\) 52.7901 57.5549i 2.46135 2.68351i
\(461\) 0.744147 6.77974i 0.0346584 0.315764i −0.964083 0.265602i \(-0.914429\pi\)
0.998741 0.0501618i \(-0.0159737\pi\)
\(462\) −54.2776 41.7728i −2.52522 1.94345i
\(463\) −9.13965 + 1.27020i −0.424756 + 0.0590311i −0.346830 0.937928i \(-0.612742\pi\)
−0.0779259 + 0.996959i \(0.524830\pi\)
\(464\) −0.339395 0.214620i −0.0157560 0.00996350i
\(465\) −41.0712 73.0665i −1.90463 3.38838i
\(466\) −3.64974 4.57663i −0.169071 0.212008i
\(467\) −14.4744 + 24.4171i −0.669794 + 1.12989i 0.313800 + 0.949489i \(0.398398\pi\)
−0.983594 + 0.180398i \(0.942261\pi\)
\(468\) −1.38053 0.988525i −0.0638152 0.0456946i
\(469\) 3.47516 8.56346i 0.160468 0.395424i
\(470\) −28.6731 + 64.2019i −1.32259 + 2.96141i
\(471\) 51.7703 26.4158i 2.38545 1.21718i
\(472\) −16.4287 + 6.33895i −0.756193 + 0.291774i
\(473\) −4.34559 + 3.42478i −0.199811 + 0.157471i
\(474\) 53.6413 46.4314i 2.46383 2.13266i
\(475\) 18.2958 + 9.60240i 0.839471 + 0.440588i
\(476\) −16.7024 + 3.30982i −0.765551 + 0.151705i
\(477\) 25.2393 + 2.91734i 1.15563 + 0.133576i
\(478\) −14.2703 + 29.2016i −0.652708 + 1.33565i
\(479\) −3.67437 + 19.1182i −0.167886 + 0.873534i 0.795609 + 0.605810i \(0.207151\pi\)
−0.963496 + 0.267724i \(0.913728\pi\)
\(480\) −33.4711 32.5218i −1.52774 1.48441i
\(481\) 0.191179 0.111849i 0.00871701 0.00509986i
\(482\) 34.8093 46.8821i 1.58552 2.13542i
\(483\) −73.1017 5.05541i −3.32624 0.230029i
\(484\) 0.518394 8.17955i 0.0235634 0.371798i
\(485\) 49.7002 + 18.5224i 2.25677 + 0.841059i
\(486\) 44.5692 20.8350i 2.02170 0.945096i
\(487\) −20.0960 18.2206i −0.910638 0.825653i 0.0745344 0.997218i \(-0.476253\pi\)
−0.985173 + 0.171566i \(0.945117\pi\)
\(488\) 35.1262 14.9659i 1.59009 0.677473i
\(489\) 0.844943 + 0.494332i 0.0382096 + 0.0223545i
\(490\) −23.5986 85.1254i −1.06607 3.84557i
\(491\) 5.28660 + 14.4386i 0.238581 + 0.651605i 0.999994 + 0.00333809i \(0.00106255\pi\)
−0.761413 + 0.648267i \(0.775494\pi\)
\(492\) 11.7947 3.34294i 0.531746 0.150711i
\(493\) 7.35107 9.00343i 0.331076 0.405494i
\(494\) 1.28482 0.445432i 0.0578066 0.0200409i
\(495\) 27.0998 + 4.72485i 1.21804 + 0.212366i
\(496\) −0.403095 0.166288i −0.0180995 0.00746657i
\(497\) −15.0872 22.9710i −0.676754 1.03039i
\(498\) −44.9987 + 43.7224i −2.01644 + 1.95925i
\(499\) −4.20110 + 15.1543i −0.188067 + 0.678400i 0.807951 + 0.589249i \(0.200576\pi\)
−0.996018 + 0.0891508i \(0.971585\pi\)
\(500\) −17.2512 + 1.39266i −0.771496 + 0.0622816i
\(501\) 2.57668 + 0.635093i 0.115117 + 0.0283739i
\(502\) 43.3006 31.7653i 1.93260 1.41775i
\(503\) −6.49122 7.07711i −0.289429 0.315553i 0.575151 0.818047i \(-0.304943\pi\)
−0.864580 + 0.502494i \(0.832416\pi\)
\(504\) 3.26130 33.2351i 0.145270 1.48041i
\(505\) −10.1350 + 1.52760i −0.450999 + 0.0679772i
\(506\) 23.6524 + 40.9671i 1.05148 + 1.82121i
\(507\) −15.5836 + 26.9915i −0.692091 + 1.19874i
\(508\) −5.73853 + 14.6215i −0.254606 + 0.648726i
\(509\) −17.3973 + 9.13083i −0.771124 + 0.404717i −0.803914 0.594745i \(-0.797253\pi\)
0.0327904 + 0.999462i \(0.489561\pi\)
\(510\) 17.9254 14.4646i 0.793751 0.640501i
\(511\) −13.4823 6.87933i −0.596420 0.304324i
\(512\) −0.478848 0.0497719i −0.0211623 0.00219963i
\(513\) −0.295233 + 1.63759i −0.0130349 + 0.0723015i
\(514\) −18.2672 + 10.9712i −0.805730 + 0.483921i
\(515\) −54.0992 3.11622i −2.38389 0.137317i
\(516\) −13.8852 4.99356i −0.611261 0.219829i
\(517\) −19.6799 17.4349i −0.865521 0.766785i
\(518\) 9.95712 + 5.67261i 0.437491 + 0.249240i
\(519\) −0.772491 2.03689i −0.0339086 0.0894096i
\(520\) −1.12615 + 1.41215i −0.0493850 + 0.0619268i
\(521\) −23.3276 3.79111i −1.02200 0.166091i −0.373759 0.927526i \(-0.621931\pi\)
−0.648242 + 0.761434i \(0.724495\pi\)
\(522\) 33.4956 + 49.7416i 1.46606 + 2.17713i
\(523\) 6.87666 25.9626i 0.300695 1.13526i −0.632109 0.774880i \(-0.717810\pi\)
0.932804 0.360384i \(-0.117354\pi\)
\(524\) −51.2068 11.9980i −2.23698 0.524136i
\(525\) 46.3597 + 49.3908i 2.02330 + 2.15559i
\(526\) 40.0431 6.50764i 1.74596 0.283747i
\(527\) 6.18454 11.0024i 0.269403 0.479273i
\(528\) 0.261864 0.141304i 0.0113962 0.00614946i
\(529\) 24.7360 + 12.2649i 1.07548 + 0.533255i
\(530\) 11.8085 70.1105i 0.512929 3.04540i
\(531\) −17.4378 0.803243i −0.756738 0.0348578i
\(532\) 32.8392 + 28.4253i 1.42376 + 1.23239i
\(533\) 0.109312 + 0.278522i 0.00473482 + 0.0120641i
\(534\) −33.6060 5.06529i −1.45427 0.219196i
\(535\) −0.894414 + 3.54097i −0.0386689 + 0.153090i
\(536\) −4.18992 4.36217i −0.180977 0.188417i
\(537\) 13.2487 24.2181i 0.571726 1.04509i
\(538\) −15.1731 7.30698i −0.654159 0.315026i
\(539\) 33.0113 + 1.14010i 1.42190 + 0.0491077i
\(540\) −2.18630 5.38747i −0.0940834 0.231840i
\(541\) 3.58343 14.9072i 0.154064 0.640909i −0.840945 0.541121i \(-0.818000\pi\)
0.995009 0.0997885i \(-0.0318166\pi\)
\(542\) 6.72863 12.6430i 0.289020 0.543064i
\(543\) 5.51469 + 0.126945i 0.236658 + 0.00544773i
\(544\) 1.56375 6.85124i 0.0670453 0.293745i
\(545\) 29.4335 + 0.338726i 1.26079 + 0.0145094i
\(546\) 4.45806 0.190787
\(547\) 22.7791 + 5.30193i 0.973966 + 0.226694i
\(548\) −34.7272 −1.48347
\(549\) 37.8474 + 0.435555i 1.61529 + 0.0185890i
\(550\) 9.73096 42.6341i 0.414929 1.81792i
\(551\) −29.6407 0.682312i −1.26274 0.0290675i
\(552\) −22.5309 + 42.3352i −0.958977 + 1.80191i
\(553\) −12.9260 + 53.7726i −0.549670 + 2.28664i
\(554\) −2.20768 5.44016i −0.0937954 0.231130i
\(555\) −9.56428 0.330319i −0.405981 0.0140213i
\(556\) −12.1969 5.87372i −0.517264 0.249101i
\(557\) 20.8379 38.0906i 0.882929 1.61395i 0.0972990 0.995255i \(-0.468980\pi\)
0.785630 0.618697i \(-0.212339\pi\)
\(558\) 45.1091 + 46.9635i 1.90962 + 1.98812i
\(559\) 0.0881967 0.349169i 0.00373032 0.0147683i
\(560\) 0.613395 + 0.0924544i 0.0259207 + 0.00390691i
\(561\) 3.14661 + 8.01744i 0.132850 + 0.338497i
\(562\) −14.2327 12.3197i −0.600370 0.519674i
\(563\) −5.79875 0.267109i −0.244388 0.0112573i −0.0765253 0.997068i \(-0.524383\pi\)
−0.167863 + 0.985810i \(0.553687\pi\)
\(564\) 11.6458 69.1447i 0.490379 2.91152i
\(565\) 5.76287 + 2.85741i 0.242446 + 0.120212i
\(566\) −62.5099 + 33.7308i −2.62749 + 1.41781i
\(567\) −20.1800 + 35.9006i −0.847480 + 1.50768i
\(568\) −17.7537 + 2.88525i −0.744927 + 0.121062i
\(569\) 21.3240 + 22.7182i 0.893949 + 0.952398i 0.999115 0.0420567i \(-0.0133910\pi\)
−0.105166 + 0.994455i \(0.533538\pi\)
\(570\) −57.2047 13.4034i −2.39604 0.561405i
\(571\) −4.13704 + 15.6193i −0.173130 + 0.653645i 0.823177 + 0.567784i \(0.192199\pi\)
−0.996307 + 0.0858610i \(0.972636\pi\)
\(572\) −0.992376 1.47370i −0.0414933 0.0616183i
\(573\) −43.3124 7.03895i −1.80940 0.294056i
\(574\) −9.65176 + 12.1029i −0.402857 + 0.505166i
\(575\) −16.5905 43.7455i −0.691871 1.82431i
\(576\) 31.2976 + 17.8304i 1.30407 + 0.742931i
\(577\) −26.1937 23.2056i −1.09046 0.966063i −0.0909036 0.995860i \(-0.528976\pi\)
−0.999556 + 0.0297968i \(0.990514\pi\)
\(578\) −33.3079 11.9786i −1.38542 0.498243i
\(579\) −41.6472 2.39896i −1.73080 0.0996972i
\(580\) 88.8090 53.3386i 3.68759 2.21477i
\(581\) 8.67769 48.1332i 0.360011 1.99690i
\(582\) −85.2189 8.85773i −3.53244 0.367165i
\(583\) 23.6807 + 12.0831i 0.980756 + 0.500431i
\(584\) −7.70921 + 6.22080i −0.319010 + 0.257418i
\(585\) −1.58543 + 0.832097i −0.0655494 + 0.0344030i
\(586\) −3.91384 + 9.97230i −0.161679 + 0.411952i
\(587\) 6.31979 10.9462i 0.260846 0.451798i −0.705621 0.708589i \(-0.749332\pi\)
0.966467 + 0.256791i \(0.0826653\pi\)
\(588\) 44.0453 + 76.2887i 1.81640 + 3.14609i
\(589\) −31.8353 + 4.79840i −1.31175 + 0.197715i
\(590\) −4.77050 + 48.6149i −0.196398 + 2.00145i
\(591\) 15.7910 + 17.2163i 0.649555 + 0.708183i
\(592\) −0.0401423 + 0.0294484i −0.00164984 + 0.00121032i
\(593\) −4.66789 1.15053i −0.191687 0.0472467i 0.142303 0.989823i \(-0.454549\pi\)
−0.333990 + 0.942576i \(0.608395\pi\)
\(594\) 3.51027 0.283378i 0.144028 0.0116271i
\(595\) −4.79671 + 17.3028i −0.196646 + 0.709347i
\(596\) −3.55184 + 3.45110i −0.145489 + 0.141363i
\(597\) 15.7312 + 23.9514i 0.643835 + 0.980267i
\(598\) −2.84636 1.17421i −0.116396 0.0480169i
\(599\) −25.0636 4.36984i −1.02407 0.178547i −0.365299 0.930890i \(-0.619033\pi\)
−0.658771 + 0.752344i \(0.728923\pi\)
\(600\) 41.8880 14.5221i 1.71007 0.592863i
\(601\) 4.68596 5.73926i 0.191144 0.234109i −0.670137 0.742237i \(-0.733765\pi\)
0.861282 + 0.508128i \(0.169662\pi\)
\(602\) 17.9265 5.08087i 0.730631 0.207081i
\(603\) −2.06154 5.63040i −0.0839522 0.229288i
\(604\) 3.11378 + 11.2321i 0.126698 + 0.457027i
\(605\) −7.45988 4.36438i −0.303287 0.177437i
\(606\) 15.2317 6.48961i 0.618745 0.263623i
\(607\) 11.1628 + 10.1211i 0.453086 + 0.410802i 0.866059 0.499942i \(-0.166645\pi\)
−0.412973 + 0.910743i \(0.635510\pi\)
\(608\) −16.2388 + 7.59125i −0.658571 + 0.307866i
\(609\) −91.0796 33.9438i −3.69073 1.37547i
\(610\) 6.69920 105.704i 0.271243 4.27984i
\(611\) 1.70726 + 0.118067i 0.0690685 + 0.00477650i
\(612\) −6.58550 + 8.86952i −0.266203 + 0.358529i
\(613\) −31.5186 + 18.4399i −1.27303 + 0.744781i −0.977577 0.210578i \(-0.932465\pi\)
−0.295448 + 0.955359i \(0.595469\pi\)
\(614\) −41.0681 39.9033i −1.65737 1.61037i
\(615\) 2.43993 12.6953i 0.0983874 0.511923i
\(616\) 15.3421 31.3948i 0.618151 1.26493i
\(617\) 33.7852 + 3.90514i 1.36014 + 0.157215i 0.763766 0.645493i \(-0.223348\pi\)
0.596373 + 0.802708i \(0.296608\pi\)
\(618\) 85.8650 17.0154i 3.45400 0.684460i
\(619\) 4.59463 + 2.41145i 0.184674 + 0.0969243i 0.554526 0.832166i \(-0.312899\pi\)
−0.369852 + 0.929090i \(0.620592\pi\)
\(620\) 85.0547 73.6225i 3.41588 2.95675i
\(621\) 2.95920 2.33216i 0.118749 0.0935862i
\(622\) −19.3520 + 7.46688i −0.775944 + 0.299395i
\(623\) 23.5984 12.0411i 0.945449 0.482416i
\(624\) −0.00789795 + 0.0176843i −0.000316171 + 0.000707938i
\(625\) 5.50200 13.5580i 0.220080 0.542320i
\(626\) −15.2130 10.8932i −0.608033 0.435379i
\(627\) 11.2030 18.8985i 0.447405 0.754735i
\(628\) 48.6340 + 60.9851i 1.94071 + 2.43357i
\(629\) −0.706119 1.25620i −0.0281548 0.0500880i
\(630\) −78.2965 49.5117i −3.11941 1.97259i
\(631\) −37.9091 + 5.26847i −1.50914 + 0.209734i −0.843738 0.536754i \(-0.819650\pi\)
−0.665398 + 0.746489i \(0.731738\pi\)
\(632\) 28.6839 + 22.0755i 1.14098 + 0.878118i
\(633\) 0.689163 6.27879i 0.0273918 0.249560i
\(634\) −26.5804 + 28.9795i −1.05564 + 1.15092i
\(635\) 11.0549 + 12.3347i 0.438699 + 0.489486i
\(636\) 6.11166 + 70.6367i 0.242343 + 2.80093i
\(637\) −1.74805 + 1.25168i −0.0692602 + 0.0495935i
\(638\) 14.6659 + 61.0105i 0.580629 + 2.41543i
\(639\) −17.2620 4.46603i −0.682875 0.176673i
\(640\) 33.4228 52.1867i 1.32115 2.06286i
\(641\) −17.1894 + 1.18875i −0.678942 + 0.0469529i −0.404345 0.914607i \(-0.632500\pi\)
−0.274597 + 0.961559i \(0.588544\pi\)
\(642\) −0.0339451 5.89951i −0.00133971 0.232835i
\(643\) −4.81123 + 16.6103i −0.189736 + 0.655046i 0.808085 + 0.589066i \(0.200504\pi\)
−0.997821 + 0.0659793i \(0.978983\pi\)
\(644\) −12.9767 97.4838i −0.511353 3.84140i
\(645\) −11.2839 + 10.7142i −0.444304 + 0.421872i
\(646\) −2.75330 8.40789i −0.108327 0.330804i
\(647\) 4.67603 + 7.30122i 0.183834 + 0.287040i 0.921698 0.387909i \(-0.126803\pi\)
−0.737864 + 0.674950i \(0.764165\pi\)
\(648\) 16.0679 + 21.6406i 0.631206 + 0.850124i
\(649\) −16.8040 7.15953i −0.659616 0.281036i
\(650\) 1.19056 + 2.58546i 0.0466976 + 0.101410i
\(651\) −103.763 19.3239i −4.06678 0.757365i
\(652\) −0.423205 + 1.24378i −0.0165740 + 0.0487103i
\(653\) −27.5627 + 9.20180i −1.07861 + 0.360094i −0.799810 0.600254i \(-0.795066\pi\)
−0.278804 + 0.960348i \(0.589938\pi\)
\(654\) −46.1672 + 11.3792i −1.80528 + 0.444962i
\(655\) −35.5680 + 42.5538i −1.38976 + 1.66271i
\(656\) −0.0309109 0.0597284i −0.00120687 0.00233200i
\(657\) −9.47809 + 2.56890i −0.369776 + 0.100222i
\(658\) 38.8749 + 79.5504i 1.51550 + 3.10120i
\(659\) 10.5580 + 29.8970i 0.411283 + 1.16462i 0.947282 + 0.320401i \(0.103818\pi\)
−0.535999 + 0.844219i \(0.680065\pi\)
\(660\) 2.20814 + 76.7324i 0.0859516 + 2.98681i
\(661\) −12.1331 45.8082i −0.471925 1.78173i −0.611195 0.791480i \(-0.709311\pi\)
0.139271 0.990254i \(-0.455524\pi\)
\(662\) −9.24812 + 10.5608i −0.359438 + 0.410456i
\(663\) −0.480588 0.288641i −0.0186645 0.0112099i
\(664\) −26.4477 18.0318i −1.02637 0.699768i
\(665\) 42.3394 17.4663i 1.64185 0.677312i
\(666\) 7.25788 1.61268i 0.281237 0.0624902i
\(667\) 49.2116 + 45.6617i 1.90548 + 1.76803i
\(668\) −0.143413 + 3.55875i −0.00554880 + 0.137692i
\(669\) −55.8352 + 25.3228i −2.15872 + 0.979037i
\(670\) −16.0332 + 4.94558i −0.619415 + 0.191064i
\(671\) 36.9497 + 14.2569i 1.42643 + 0.550381i
\(672\) −58.4518 + 6.07554i −2.25483 + 0.234369i
\(673\) −1.40409 + 18.7363i −0.0541238 + 0.722232i 0.902460 + 0.430774i \(0.141759\pi\)
−0.956584 + 0.291458i \(0.905860\pi\)
\(674\) 19.2540 52.5860i 0.741637 2.02554i
\(675\) −3.47176 0.280270i −0.133628 0.0107876i
\(676\) −39.6766 13.2460i −1.52602 0.509461i
\(677\) 5.31995 6.99540i 0.204462 0.268855i −0.682308 0.731065i \(-0.739024\pi\)
0.886771 + 0.462210i \(0.152943\pi\)
\(678\) −10.1685 2.13693i −0.390519 0.0820684i
\(679\) 58.0320 33.0611i 2.22706 1.26877i
\(680\) 9.05972 + 7.48433i 0.347425 + 0.287011i
\(681\) 27.4044 + 27.2472i 1.05014 + 1.04412i
\(682\) 27.0678 + 62.5304i 1.03648 + 2.39441i
\(683\) −2.75698 + 13.5046i −0.105493 + 0.516738i 0.892365 + 0.451315i \(0.149045\pi\)
−0.997858 + 0.0654229i \(0.979160\pi\)
\(684\) 28.1713 0.648487i 1.07716 0.0247955i
\(685\) −16.4561 + 32.7147i −0.628757 + 1.24996i
\(686\) −38.8608 17.6244i −1.48371 0.672904i
\(687\) 14.8217 + 1.88628i 0.565482 + 0.0719660i
\(688\) −0.0116040 + 0.0801125i −0.000442398 + 0.00305426i
\(689\) −1.70118 + 0.316814i −0.0648097 + 0.0120696i
\(690\) 76.8274 + 108.609i 2.92477 + 4.13466i
\(691\) −9.44944 5.09899i −0.359474 0.193975i 0.285135 0.958487i \(-0.407961\pi\)
−0.644609 + 0.764512i \(0.722980\pi\)
\(692\) 2.47108 1.56262i 0.0939363 0.0594017i
\(693\) 26.4499 22.3675i 1.00475 0.849672i
\(694\) 32.6707 + 53.6944i 1.24016 + 2.03821i
\(695\) −11.3130 + 8.70669i −0.429128 + 0.330264i
\(696\) −44.5922 + 45.3686i −1.69026 + 1.71969i
\(697\) 1.82409 0.679808i 0.0690925 0.0257496i
\(698\) −22.5278 74.5538i −0.852691 2.82190i
\(699\) 5.51501 2.73451i 0.208597 0.103429i
\(700\) −52.5022 + 74.2209i −1.98440 + 2.80529i
\(701\) 7.78966 16.9163i 0.294212 0.638919i −0.703187 0.711005i \(-0.748240\pi\)
0.997398 + 0.0720859i \(0.0229656\pi\)
\(702\) −0.169817 + 0.153969i −0.00640933 + 0.00581118i
\(703\) −1.42133 + 3.38994i −0.0536064 + 0.127854i
\(704\) 24.1714 + 28.9188i 0.910995 + 1.08992i
\(705\) −59.6190 43.7364i −2.24538 1.64721i
\(706\) 8.52752 + 77.6921i 0.320937 + 2.92398i
\(707\) −6.70870 + 11.0258i −0.252307 + 0.414667i
\(708\) −7.53730 48.1262i −0.283269 1.80869i
\(709\) −15.7299 20.1971i −0.590748 0.758520i 0.396443 0.918059i \(-0.370244\pi\)
−0.987192 + 0.159540i \(0.948999\pi\)
\(710\) −14.9810 + 47.5931i −0.562226 + 1.78614i
\(711\) 17.2206 + 31.4784i 0.645823 + 1.18053i
\(712\) −0.897483 17.3156i −0.0336346 0.648931i
\(713\) 61.1602 + 39.6679i 2.29047 + 1.48557i
\(714\) 0.500636 29.0002i 0.0187358 1.08530i
\(715\) −1.85855 + 0.236528i −0.0695057 + 0.00884563i
\(716\) 35.4028 + 10.9203i 1.32306 + 0.408111i
\(717\) −26.8441 21.1559i −1.00251 0.790082i
\(718\) 22.9817 1.05861i 0.857670 0.0395070i
\(719\) 0.432734 3.56388i 0.0161382 0.132910i −0.982413 0.186721i \(-0.940214\pi\)
0.998551 + 0.0538111i \(0.0171369\pi\)
\(720\) 0.335115 0.222872i 0.0124890 0.00830596i
\(721\) −46.6994 + 49.7527i −1.73918 + 1.85289i
\(722\) 11.6568 17.3106i 0.433823 0.644234i
\(723\) 40.4535 + 46.1953i 1.50448 + 1.71802i
\(724\) 1.31351 + 7.28575i 0.0488162 + 0.270773i
\(725\) −4.63776 61.8867i −0.172242 2.29841i
\(726\) 13.4321 + 3.80703i 0.498513 + 0.141292i
\(727\) 5.82321 4.06914i 0.215971 0.150916i −0.459813 0.888016i \(-0.652084\pi\)
0.675784 + 0.737100i \(0.263805\pi\)
\(728\) 0.454944 + 2.22846i 0.0168613 + 0.0825923i
\(729\) 5.09567 + 22.3256i 0.188729 + 0.826874i
\(730\) 5.80611 + 26.8593i 0.214894 + 0.994108i
\(731\) −2.26148 0.612941i −0.0836439 0.0226704i
\(732\) 19.9349 + 103.724i 0.736815 + 3.83375i
\(733\) 26.7713 40.7605i 0.988819 1.50552i 0.131122 0.991366i \(-0.458142\pi\)
0.857697 0.514156i \(-0.171895\pi\)
\(734\) −5.75894 + 3.92638i −0.212567 + 0.144925i
\(735\) 92.7392 5.34196i 3.42074 0.197041i
\(736\) 38.9203 + 11.5165i 1.43462 + 0.424505i
\(737\) 0.0360990 6.27383i 0.00132972 0.231100i
\(738\) 0.635246 + 10.0233i 0.0233837 + 0.368963i
\(739\) −11.0714 + 36.6397i −0.407267 + 1.34781i 0.476207 + 0.879333i \(0.342011\pi\)
−0.883474 + 0.468480i \(0.844802\pi\)
\(740\) −2.13320 12.6654i −0.0784182 0.465591i
\(741\) 0.172366 + 1.41956i 0.00633204 + 0.0521490i
\(742\) −58.2029 68.0278i −2.13669 2.49738i
\(743\) 39.6071 36.7500i 1.45304 1.34823i 0.635930 0.771746i \(-0.280617\pi\)
0.817112 0.576480i \(-0.195574\pi\)
\(744\) −39.2405 + 56.8497i −1.43863 + 2.08421i
\(745\) 1.56799 + 4.98137i 0.0574469 + 0.182503i
\(746\) 40.8024 42.4798i 1.49388 1.55530i
\(747\) −16.8050 26.9166i −0.614862 0.984826i
\(748\) −9.69800 + 6.29002i −0.354594 + 0.229986i
\(749\) 2.69890 + 3.72372i 0.0986157 +