Properties

Label 588.2.x.a.223.21
Level $588$
Weight $2$
Character 588.223
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.x (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 223.21
Character \(\chi\) \(=\) 588.223
Dual form 588.2.x.a.559.21

$q$-expansion

\(f(q)\) \(=\) \(q+(0.981280 + 1.01838i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(-0.0741801 + 1.99862i) q^{4} +(2.53335 + 0.578222i) q^{5} +(-1.21120 + 0.730067i) q^{6} +(-1.72629 + 2.00497i) q^{7} +(-2.10814 + 1.88567i) q^{8} +(-0.900969 - 0.433884i) q^{9} +O(q^{10})\) \(q+(0.981280 + 1.01838i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(-0.0741801 + 1.99862i) q^{4} +(2.53335 + 0.578222i) q^{5} +(-1.21120 + 0.730067i) q^{6} +(-1.72629 + 2.00497i) q^{7} +(-2.10814 + 1.88567i) q^{8} +(-0.900969 - 0.433884i) q^{9} +(1.89708 + 3.14730i) q^{10} +(-0.428593 - 0.889983i) q^{11} +(-1.93201 - 0.517056i) q^{12} +(0.697693 + 1.44877i) q^{13} +(-3.73579 + 0.209420i) q^{14} +(-1.12745 + 2.34117i) q^{15} +(-3.98899 - 0.296516i) q^{16} +(3.94421 - 3.14540i) q^{17} +(-0.442246 - 1.34329i) q^{18} -2.99862 q^{19} +(-1.34357 + 5.02033i) q^{20} +(-1.57056 - 2.12916i) q^{21} +(0.485768 - 1.30979i) q^{22} +(2.65508 + 2.11735i) q^{23} +(-1.36928 - 2.47489i) q^{24} +(1.57870 + 0.760262i) q^{25} +(-0.790765 + 2.13217i) q^{26} +(0.623490 - 0.781831i) q^{27} +(-3.87913 - 3.59894i) q^{28} +(0.154534 + 0.193780i) q^{29} +(-3.49054 + 1.14918i) q^{30} +1.95638 q^{31} +(-3.61235 - 4.35326i) q^{32} +(0.963040 - 0.219808i) q^{33} +(7.07358 + 0.930170i) q^{34} +(-5.53263 + 4.08112i) q^{35} +(0.934004 - 1.76851i) q^{36} +(2.49400 + 3.12738i) q^{37} +(-2.94248 - 3.05372i) q^{38} +(-1.56770 + 0.357818i) q^{39} +(-6.43100 + 3.55809i) q^{40} +(-2.68486 - 0.612801i) q^{41} +(0.627123 - 3.68873i) q^{42} +(12.5134 - 2.85610i) q^{43} +(1.81053 - 0.790578i) q^{44} +(-2.03159 - 1.62014i) q^{45} +(0.449112 + 4.78159i) q^{46} +(-5.73142 + 2.76011i) q^{47} +(1.17672 - 3.82300i) q^{48} +(-1.03981 - 6.92234i) q^{49} +(0.774914 + 2.35374i) q^{50} +(2.18887 + 4.54524i) q^{51} +(-2.94731 + 1.28696i) q^{52} +(2.44059 - 3.06040i) q^{53} +(1.40802 - 0.132248i) q^{54} +(-0.571171 - 2.50246i) q^{55} +(-0.141430 - 7.48198i) q^{56} +(0.667255 - 2.92343i) q^{57} +(-0.0456993 + 0.347526i) q^{58} +(1.47606 + 6.46703i) q^{59} +(-4.59549 - 2.42701i) q^{60} +(-5.41157 + 4.31558i) q^{61} +(1.91976 + 1.99233i) q^{62} +(2.42526 - 1.05740i) q^{63} +(0.888528 - 7.95050i) q^{64} +(0.929791 + 4.07368i) q^{65} +(1.16886 + 0.765045i) q^{66} -14.9209i q^{67} +(5.99390 + 8.11632i) q^{68} +(-2.65508 + 2.11735i) q^{69} +(-9.58518 - 1.62958i) q^{70} +(3.75696 + 2.99607i) q^{71} +(2.71753 - 0.784238i) q^{72} +(-3.48651 + 7.23981i) q^{73} +(-0.737534 + 5.60866i) q^{74} +(-1.09249 + 1.36994i) q^{75} +(0.222438 - 5.99311i) q^{76} +(2.52427 + 0.677056i) q^{77} +(-1.90275 - 1.24539i) q^{78} +3.43155i q^{79} +(-9.93409 - 3.05770i) q^{80} +(0.623490 + 0.781831i) q^{81} +(-2.01053 - 3.33552i) q^{82} +(1.36655 + 0.658097i) q^{83} +(4.37190 - 2.98103i) q^{84} +(11.8108 - 5.68780i) q^{85} +(15.1877 + 9.94069i) q^{86} +(-0.223308 + 0.107540i) q^{87} +(2.58175 + 1.06803i) q^{88} +(-1.91459 + 3.97568i) q^{89} +(-0.343648 - 3.65874i) q^{90} +(-4.10917 - 1.10216i) q^{91} +(-4.42875 + 5.14944i) q^{92} +(-0.435335 + 1.90733i) q^{93} +(-8.43496 - 3.12831i) q^{94} +(-7.59656 - 1.73386i) q^{95} +(5.04794 - 2.55309i) q^{96} -3.46477i q^{97} +(6.02920 - 7.85167i) q^{98} +0.987807i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{1}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.981280 + 1.01838i 0.693870 + 0.720101i
\(3\) −0.222521 + 0.974928i −0.128473 + 0.562875i
\(4\) −0.0741801 + 1.99862i −0.0370900 + 0.999312i
\(5\) 2.53335 + 0.578222i 1.13295 + 0.258589i 0.747579 0.664173i \(-0.231216\pi\)
0.385372 + 0.922761i \(0.374073\pi\)
\(6\) −1.21120 + 0.730067i −0.494470 + 0.298049i
\(7\) −1.72629 + 2.00497i −0.652478 + 0.757808i
\(8\) −2.10814 + 1.88567i −0.745341 + 0.666684i
\(9\) −0.900969 0.433884i −0.300323 0.144628i
\(10\) 1.89708 + 3.14730i 0.599910 + 0.995265i
\(11\) −0.428593 0.889983i −0.129226 0.268340i 0.826310 0.563216i \(-0.190436\pi\)
−0.955536 + 0.294876i \(0.904722\pi\)
\(12\) −1.93201 0.517056i −0.557723 0.149261i
\(13\) 0.697693 + 1.44877i 0.193505 + 0.401818i 0.975035 0.222050i \(-0.0712748\pi\)
−0.781530 + 0.623868i \(0.785560\pi\)
\(14\) −3.73579 + 0.209420i −0.998432 + 0.0559697i
\(15\) −1.12745 + 2.34117i −0.291106 + 0.604488i
\(16\) −3.98899 0.296516i −0.997249 0.0741290i
\(17\) 3.94421 3.14540i 0.956612 0.762873i −0.0148936 0.999889i \(-0.504741\pi\)
0.971506 + 0.237016i \(0.0761695\pi\)
\(18\) −0.442246 1.34329i −0.104238 0.316616i
\(19\) −2.99862 −0.687930 −0.343965 0.938983i \(-0.611770\pi\)
−0.343965 + 0.938983i \(0.611770\pi\)
\(20\) −1.34357 + 5.02033i −0.300432 + 1.12258i
\(21\) −1.57056 2.12916i −0.342725 0.464621i
\(22\) 0.485768 1.30979i 0.103566 0.279249i
\(23\) 2.65508 + 2.11735i 0.553622 + 0.441499i 0.859914 0.510439i \(-0.170517\pi\)
−0.306292 + 0.951938i \(0.599088\pi\)
\(24\) −1.36928 2.47489i −0.279504 0.505184i
\(25\) 1.57870 + 0.760262i 0.315740 + 0.152052i
\(26\) −0.790765 + 2.13217i −0.155082 + 0.418152i
\(27\) 0.623490 0.781831i 0.119991 0.150464i
\(28\) −3.87913 3.59894i −0.733086 0.680136i
\(29\) 0.154534 + 0.193780i 0.0286962 + 0.0359840i 0.795973 0.605333i \(-0.206960\pi\)
−0.767276 + 0.641317i \(0.778389\pi\)
\(30\) −3.49054 + 1.14918i −0.637282 + 0.209810i
\(31\) 1.95638 0.351376 0.175688 0.984446i \(-0.443785\pi\)
0.175688 + 0.984446i \(0.443785\pi\)
\(32\) −3.61235 4.35326i −0.638580 0.769555i
\(33\) 0.963040 0.219808i 0.167644 0.0382636i
\(34\) 7.07358 + 0.930170i 1.21311 + 0.159523i
\(35\) −5.53263 + 4.08112i −0.935186 + 0.689835i
\(36\) 0.934004 1.76851i 0.155667 0.294752i
\(37\) 2.49400 + 3.12738i 0.410011 + 0.514137i 0.943366 0.331754i \(-0.107640\pi\)
−0.533355 + 0.845892i \(0.679069\pi\)
\(38\) −2.94248 3.05372i −0.477334 0.495379i
\(39\) −1.56770 + 0.357818i −0.251033 + 0.0572967i
\(40\) −6.43100 + 3.55809i −1.01683 + 0.562583i
\(41\) −2.68486 0.612801i −0.419304 0.0957035i 0.00766276 0.999971i \(-0.497561\pi\)
−0.426967 + 0.904267i \(0.640418\pi\)
\(42\) 0.627123 3.68873i 0.0967672 0.569183i
\(43\) 12.5134 2.85610i 1.90827 0.435551i 0.908425 0.418049i \(-0.137286\pi\)
0.999847 0.0175019i \(-0.00557130\pi\)
\(44\) 1.81053 0.790578i 0.272948 0.119184i
\(45\) −2.03159 1.62014i −0.302852 0.241516i
\(46\) 0.449112 + 4.78159i 0.0662179 + 0.705006i
\(47\) −5.73142 + 2.76011i −0.836014 + 0.402603i −0.802367 0.596831i \(-0.796426\pi\)
−0.0336466 + 0.999434i \(0.510712\pi\)
\(48\) 1.17672 3.82300i 0.169844 0.551803i
\(49\) −1.03981 6.92234i −0.148545 0.988906i
\(50\) 0.774914 + 2.35374i 0.109589 + 0.332869i
\(51\) 2.18887 + 4.54524i 0.306504 + 0.636461i
\(52\) −2.94731 + 1.28696i −0.408718 + 0.178469i
\(53\) 2.44059 3.06040i 0.335240 0.420378i −0.585428 0.810725i \(-0.699073\pi\)
0.920668 + 0.390347i \(0.127645\pi\)
\(54\) 1.40802 0.132248i 0.191607 0.0179967i
\(55\) −0.571171 2.50246i −0.0770167 0.337432i
\(56\) −0.141430 7.48198i −0.0188993 0.999821i
\(57\) 0.667255 2.92343i 0.0883801 0.387218i
\(58\) −0.0456993 + 0.347526i −0.00600062 + 0.0456324i
\(59\) 1.47606 + 6.46703i 0.192166 + 0.841935i 0.975441 + 0.220260i \(0.0706905\pi\)
−0.783275 + 0.621675i \(0.786452\pi\)
\(60\) −4.59549 2.42701i −0.593275 0.313326i
\(61\) −5.41157 + 4.31558i −0.692880 + 0.552554i −0.905377 0.424608i \(-0.860412\pi\)
0.212497 + 0.977162i \(0.431840\pi\)
\(62\) 1.91976 + 1.99233i 0.243809 + 0.253026i
\(63\) 2.42526 1.05740i 0.305554 0.133220i
\(64\) 0.888528 7.95050i 0.111066 0.993813i
\(65\) 0.929791 + 4.07368i 0.115326 + 0.505278i
\(66\) 1.16886 + 0.765045i 0.143877 + 0.0941705i
\(67\) 14.9209i 1.82288i −0.411434 0.911440i \(-0.634972\pi\)
0.411434 0.911440i \(-0.365028\pi\)
\(68\) 5.99390 + 8.11632i 0.726867 + 0.984249i
\(69\) −2.65508 + 2.11735i −0.319634 + 0.254900i
\(70\) −9.58518 1.62958i −1.14565 0.194772i
\(71\) 3.75696 + 2.99607i 0.445869 + 0.355569i 0.820540 0.571589i \(-0.193673\pi\)
−0.374671 + 0.927158i \(0.622244\pi\)
\(72\) 2.71753 0.784238i 0.320264 0.0924233i
\(73\) −3.48651 + 7.23981i −0.408065 + 0.847356i 0.591104 + 0.806596i \(0.298692\pi\)
−0.999169 + 0.0407606i \(0.987022\pi\)
\(74\) −0.737534 + 5.60866i −0.0857366 + 0.651993i
\(75\) −1.09249 + 1.36994i −0.126150 + 0.158188i
\(76\) 0.222438 5.99311i 0.0255153 0.687456i
\(77\) 2.52427 + 0.677056i 0.287667 + 0.0771577i
\(78\) −1.90275 1.24539i −0.215444 0.141013i
\(79\) 3.43155i 0.386080i 0.981191 + 0.193040i \(0.0618347\pi\)
−0.981191 + 0.193040i \(0.938165\pi\)
\(80\) −9.93409 3.05770i −1.11066 0.341862i
\(81\) 0.623490 + 0.781831i 0.0692766 + 0.0868702i
\(82\) −2.01053 3.33552i −0.222026 0.368347i
\(83\) 1.36655 + 0.658097i 0.149999 + 0.0722355i 0.507377 0.861724i \(-0.330615\pi\)
−0.357379 + 0.933960i \(0.616329\pi\)
\(84\) 4.37190 2.98103i 0.477013 0.325257i
\(85\) 11.8108 5.68780i 1.28106 0.616928i
\(86\) 15.1877 + 9.94069i 1.63773 + 1.07193i
\(87\) −0.223308 + 0.107540i −0.0239411 + 0.0115294i
\(88\) 2.58175 + 1.06803i 0.275215 + 0.113852i
\(89\) −1.91459 + 3.97568i −0.202946 + 0.421421i −0.977456 0.211141i \(-0.932282\pi\)
0.774510 + 0.632562i \(0.217997\pi\)
\(90\) −0.343648 3.65874i −0.0362236 0.385665i
\(91\) −4.10917 1.10216i −0.430758 0.115538i
\(92\) −4.42875 + 5.14944i −0.461729 + 0.536866i
\(93\) −0.435335 + 1.90733i −0.0451422 + 0.197781i
\(94\) −8.43496 3.12831i −0.869999 0.322660i
\(95\) −7.59656 1.73386i −0.779390 0.177891i
\(96\) 5.04794 2.55309i 0.515203 0.260574i
\(97\) 3.46477i 0.351794i −0.984409 0.175897i \(-0.943717\pi\)
0.984409 0.175897i \(-0.0562825\pi\)
\(98\) 6.02920 7.85167i 0.609041 0.793139i
\(99\) 0.987807i 0.0992783i
\(100\) −1.63659 + 3.09883i −0.163659 + 0.309883i
\(101\) 18.3822 + 4.19562i 1.82910 + 0.417480i 0.991642 0.129023i \(-0.0411841\pi\)
0.837457 + 0.546503i \(0.184041\pi\)
\(102\) −2.48087 + 6.68925i −0.245643 + 0.662334i
\(103\) 2.76355 12.1079i 0.272301 1.19303i −0.634988 0.772522i \(-0.718995\pi\)
0.907289 0.420507i \(-0.138148\pi\)
\(104\) −4.20274 1.73861i −0.412113 0.170484i
\(105\) −2.74767 6.30205i −0.268145 0.615017i
\(106\) 5.51154 0.517672i 0.535328 0.0502808i
\(107\) 1.42015 2.94897i 0.137291 0.285088i −0.820976 0.570963i \(-0.806570\pi\)
0.958267 + 0.285875i \(0.0922842\pi\)
\(108\) 1.51634 + 1.30412i 0.145910 + 0.125489i
\(109\) 16.1046 7.75557i 1.54254 0.742848i 0.546996 0.837135i \(-0.315771\pi\)
0.995545 + 0.0942871i \(0.0300572\pi\)
\(110\) 1.98797 3.03729i 0.189546 0.289594i
\(111\) −3.60393 + 1.73556i −0.342070 + 0.164732i
\(112\) 7.48069 7.48594i 0.706858 0.707355i
\(113\) 12.5191 + 6.02886i 1.17769 + 0.567147i 0.917238 0.398339i \(-0.130413\pi\)
0.260455 + 0.965486i \(0.416127\pi\)
\(114\) 3.63192 2.18919i 0.340161 0.205037i
\(115\) 5.50196 + 6.89923i 0.513060 + 0.643357i
\(116\) −0.398756 + 0.294481i −0.0370235 + 0.0273419i
\(117\) 1.60802i 0.148661i
\(118\) −5.13744 + 7.84914i −0.472940 + 0.722572i
\(119\) −0.502430 + 13.3379i −0.0460577 + 1.22269i
\(120\) −2.03784 7.06151i −0.186029 0.644625i
\(121\) 6.25001 7.83726i 0.568183 0.712479i
\(122\) −9.70515 1.27622i −0.878663 0.115543i
\(123\) 1.19487 2.48118i 0.107738 0.223721i
\(124\) −0.145124 + 3.91007i −0.0130325 + 0.351134i
\(125\) −6.59816 5.26185i −0.590157 0.470634i
\(126\) 3.45670 + 1.43222i 0.307947 + 0.127592i
\(127\) 6.84131 5.45576i 0.607068 0.484121i −0.271049 0.962565i \(-0.587371\pi\)
0.878118 + 0.478445i \(0.158799\pi\)
\(128\) 8.96850 6.89681i 0.792711 0.609598i
\(129\) 12.8352i 1.13007i
\(130\) −3.23615 + 4.94430i −0.283829 + 0.433644i
\(131\) 0.761492 + 3.33631i 0.0665319 + 0.291495i 0.997238 0.0742728i \(-0.0236635\pi\)
−0.930706 + 0.365768i \(0.880806\pi\)
\(132\) 0.367874 + 1.94106i 0.0320194 + 0.168948i
\(133\) 5.17650 6.01214i 0.448859 0.521318i
\(134\) 15.1951 14.6416i 1.31266 1.26484i
\(135\) 2.03159 1.62014i 0.174852 0.139440i
\(136\) −2.38378 + 14.0684i −0.204407 + 1.20636i
\(137\) 2.02745 + 8.88283i 0.173216 + 0.758911i 0.984661 + 0.174481i \(0.0558247\pi\)
−0.811444 + 0.584430i \(0.801318\pi\)
\(138\) −4.76164 0.626152i −0.405338 0.0533016i
\(139\) 2.90366 12.7218i 0.246285 1.07905i −0.688892 0.724864i \(-0.741902\pi\)
0.935177 0.354181i \(-0.115240\pi\)
\(140\) −7.74621 11.3604i −0.654674 0.960128i
\(141\) −1.41554 6.20190i −0.119210 0.522295i
\(142\) 0.635497 + 6.76598i 0.0533297 + 0.567789i
\(143\) 0.990358 1.24187i 0.0828179 0.103850i
\(144\) 3.46531 + 1.99791i 0.288776 + 0.166493i
\(145\) 0.279442 + 0.580267i 0.0232064 + 0.0481886i
\(146\) −10.7941 + 3.55370i −0.893326 + 0.294107i
\(147\) 6.98016 + 0.526623i 0.575714 + 0.0434351i
\(148\) −6.43545 + 4.75258i −0.528991 + 0.390659i
\(149\) −1.10446 + 0.531881i −0.0904812 + 0.0435734i −0.478577 0.878046i \(-0.658847\pi\)
0.388096 + 0.921619i \(0.373133\pi\)
\(150\) −2.46716 + 0.231729i −0.201443 + 0.0189206i
\(151\) −3.33498 2.65956i −0.271397 0.216432i 0.478328 0.878181i \(-0.341243\pi\)
−0.749725 + 0.661749i \(0.769814\pi\)
\(152\) 6.32151 5.65439i 0.512742 0.458632i
\(153\) −4.91835 + 1.12258i −0.397625 + 0.0907554i
\(154\) 1.78752 + 3.23504i 0.144042 + 0.260687i
\(155\) 4.95620 + 1.13122i 0.398092 + 0.0908618i
\(156\) −0.598851 3.15979i −0.0479464 0.252986i
\(157\) −11.1304 + 2.54044i −0.888304 + 0.202750i −0.642240 0.766504i \(-0.721995\pi\)
−0.246064 + 0.969254i \(0.579137\pi\)
\(158\) −3.49461 + 3.36731i −0.278016 + 0.267889i
\(159\) 2.44059 + 3.06040i 0.193551 + 0.242705i
\(160\) −6.63422 13.1171i −0.524482 1.03700i
\(161\) −8.82868 + 1.66818i −0.695798 + 0.131471i
\(162\) −0.184381 + 1.40214i −0.0144863 + 0.110163i
\(163\) −21.0851 + 4.81254i −1.65151 + 0.376947i −0.944050 0.329804i \(-0.893017\pi\)
−0.707463 + 0.706751i \(0.750160\pi\)
\(164\) 1.42392 5.32056i 0.111190 0.415466i
\(165\) 2.56682 0.199827
\(166\) 0.670780 + 2.03744i 0.0520626 + 0.158136i
\(167\) −2.30847 2.89473i −0.178635 0.224001i 0.684450 0.729060i \(-0.260042\pi\)
−0.863085 + 0.505059i \(0.831471\pi\)
\(168\) 7.32586 + 1.52701i 0.565202 + 0.117812i
\(169\) 6.49320 8.14221i 0.499477 0.626324i
\(170\) 17.3820 + 6.44655i 1.33314 + 0.494428i
\(171\) 2.70166 + 1.30105i 0.206601 + 0.0994939i
\(172\) 4.78002 + 25.2214i 0.364473 + 1.92311i
\(173\) −15.5213 12.3779i −1.18007 0.941071i −0.180966 0.983489i \(-0.557922\pi\)
−0.999100 + 0.0424186i \(0.986494\pi\)
\(174\) −0.328643 0.121885i −0.0249144 0.00924010i
\(175\) −4.24960 + 1.85281i −0.321240 + 0.140059i
\(176\) 1.44576 + 3.67722i 0.108978 + 0.277181i
\(177\) −6.63334 −0.498592
\(178\) −5.92748 + 1.95148i −0.444283 + 0.146270i
\(179\) −19.0019 + 15.1535i −1.42027 + 1.13263i −0.449316 + 0.893373i \(0.648332\pi\)
−0.970956 + 0.239256i \(0.923096\pi\)
\(180\) 3.38876 3.94021i 0.252583 0.293686i
\(181\) −10.7401 + 22.3021i −0.798307 + 1.65770i −0.0459516 + 0.998944i \(0.514632\pi\)
−0.752355 + 0.658758i \(0.771082\pi\)
\(182\) −2.90984 5.26621i −0.215692 0.390357i
\(183\) −3.00319 6.23620i −0.222002 0.460993i
\(184\) −9.58991 + 0.542907i −0.706977 + 0.0400236i
\(185\) 4.50987 + 9.36484i 0.331572 + 0.688516i
\(186\) −2.36956 + 1.42829i −0.173745 + 0.104727i
\(187\) −4.48982 2.16218i −0.328328 0.158115i
\(188\) −5.09126 11.6597i −0.371318 0.850371i
\(189\) 0.491222 + 2.59975i 0.0357311 + 0.189104i
\(190\) −5.68862 9.43756i −0.412696 0.684673i
\(191\) 7.99385 + 1.82454i 0.578415 + 0.132019i 0.501712 0.865035i \(-0.332704\pi\)
0.0767026 + 0.997054i \(0.475561\pi\)
\(192\) 7.55345 + 2.63540i 0.545123 + 0.190194i
\(193\) −2.15173 + 9.42736i −0.154885 + 0.678596i 0.836538 + 0.547908i \(0.184576\pi\)
−0.991424 + 0.130688i \(0.958281\pi\)
\(194\) 3.52843 3.39990i 0.253327 0.244099i
\(195\) −4.17844 −0.299224
\(196\) 13.9123 1.56470i 0.993735 0.111764i
\(197\) −24.4781 −1.74400 −0.871998 0.489510i \(-0.837176\pi\)
−0.871998 + 0.489510i \(0.837176\pi\)
\(198\) −1.00596 + 0.969315i −0.0714904 + 0.0688862i
\(199\) 3.30952 14.5000i 0.234606 1.02788i −0.711161 0.703029i \(-0.751830\pi\)
0.945767 0.324846i \(-0.105313\pi\)
\(200\) −4.76172 + 1.37416i −0.336705 + 0.0971678i
\(201\) 14.5468 + 3.32021i 1.02605 + 0.234190i
\(202\) 13.7654 + 22.8371i 0.968528 + 1.60681i
\(203\) −0.655293 0.0246844i −0.0459926 0.00173251i
\(204\) −9.24660 + 4.03757i −0.647391 + 0.282686i
\(205\) −6.44736 3.10489i −0.450303 0.216855i
\(206\) 15.0422 9.06692i 1.04804 0.631722i
\(207\) −1.47346 3.05967i −0.102412 0.212662i
\(208\) −2.35351 5.98603i −0.163186 0.415057i
\(209\) 1.28519 + 2.66872i 0.0888982 + 0.184599i
\(210\) 3.72163 8.98224i 0.256817 0.619833i
\(211\) 7.95957 16.5282i 0.547959 1.13785i −0.424640 0.905362i \(-0.639599\pi\)
0.972600 0.232487i \(-0.0746863\pi\)
\(212\) 5.93554 + 5.10484i 0.407655 + 0.350602i
\(213\) −3.75696 + 2.99607i −0.257423 + 0.205288i
\(214\) 4.39673 1.44752i 0.300554 0.0989505i
\(215\) 33.3523 2.27461
\(216\) 0.159868 + 2.82391i 0.0108776 + 0.192142i
\(217\) −3.37729 + 3.92248i −0.229265 + 0.266275i
\(218\) 23.7012 + 8.79016i 1.60525 + 0.595345i
\(219\) −6.28248 5.01011i −0.424530 0.338552i
\(220\) 5.04386 0.955923i 0.340057 0.0644483i
\(221\) 7.30883 + 3.51975i 0.491645 + 0.236764i
\(222\) −5.30392 1.96709i −0.355976 0.132022i
\(223\) 10.9364 13.7139i 0.732359 0.918349i −0.266608 0.963805i \(-0.585903\pi\)
0.998966 + 0.0454565i \(0.0144742\pi\)
\(224\) 14.9642 + 0.272349i 0.999834 + 0.0181971i
\(225\) −1.09249 1.36994i −0.0728330 0.0913296i
\(226\) 6.14505 + 18.6651i 0.408762 + 1.24158i
\(227\) −23.6644 −1.57066 −0.785331 0.619076i \(-0.787507\pi\)
−0.785331 + 0.619076i \(0.787507\pi\)
\(228\) 5.79335 + 1.55045i 0.383674 + 0.102681i
\(229\) −17.1048 + 3.90406i −1.13032 + 0.257987i −0.746476 0.665412i \(-0.768256\pi\)
−0.383840 + 0.923400i \(0.625399\pi\)
\(230\) −1.62706 + 12.3731i −0.107285 + 0.815861i
\(231\) −1.22178 + 2.31032i −0.0803875 + 0.152008i
\(232\) −0.691183 0.117115i −0.0453784 0.00768900i
\(233\) −7.77353 9.74769i −0.509261 0.638593i 0.459029 0.888421i \(-0.348197\pi\)
−0.968290 + 0.249828i \(0.919626\pi\)
\(234\) 1.63757 1.57792i 0.107051 0.103152i
\(235\) −16.1157 + 3.67830i −1.05127 + 0.239946i
\(236\) −13.0346 + 2.47036i −0.848483 + 0.160807i
\(237\) −3.34552 0.763592i −0.217315 0.0496006i
\(238\) −14.0760 + 12.5766i −0.912415 + 0.815218i
\(239\) 20.7288 4.73122i 1.34084 0.306037i 0.508861 0.860849i \(-0.330067\pi\)
0.831976 + 0.554812i \(0.187210\pi\)
\(240\) 5.19158 9.00461i 0.335115 0.581245i
\(241\) −7.13366 5.68890i −0.459519 0.366454i 0.366199 0.930536i \(-0.380659\pi\)
−0.825719 + 0.564082i \(0.809230\pi\)
\(242\) 14.1143 1.32569i 0.907301 0.0852184i
\(243\) −0.900969 + 0.433884i −0.0577972 + 0.0278337i
\(244\) −8.22379 11.1358i −0.526475 0.712898i
\(245\) 1.36843 18.1380i 0.0874259 1.15879i
\(246\) 3.69928 1.21790i 0.235858 0.0776506i
\(247\) −2.09211 4.34432i −0.133118 0.276422i
\(248\) −4.12433 + 3.68908i −0.261895 + 0.234257i
\(249\) −0.945683 + 1.18585i −0.0599302 + 0.0751501i
\(250\) −1.11609 11.8828i −0.0705877 0.751531i
\(251\) −5.08565 22.2817i −0.321004 1.40641i −0.835771 0.549079i \(-0.814979\pi\)
0.514767 0.857330i \(-0.327878\pi\)
\(252\) 1.93345 + 4.92562i 0.121796 + 0.310285i
\(253\) 0.746461 3.27046i 0.0469296 0.205612i
\(254\) 12.2693 + 1.61340i 0.769842 + 0.101234i
\(255\) 2.91703 + 12.7804i 0.182672 + 0.800337i
\(256\) 15.8242 + 2.36560i 0.989010 + 0.147850i
\(257\) −24.5549 + 19.5818i −1.53169 + 1.22148i −0.640406 + 0.768036i \(0.721234\pi\)
−0.891284 + 0.453446i \(0.850195\pi\)
\(258\) −13.0710 + 12.5949i −0.813767 + 0.784124i
\(259\) −10.5757 0.398378i −0.657140 0.0247540i
\(260\) −8.21073 + 1.55612i −0.509208 + 0.0965062i
\(261\) −0.0551526 0.241639i −0.00341386 0.0149571i
\(262\) −2.65039 + 4.04934i −0.163741 + 0.250169i
\(263\) 6.05266i 0.373223i −0.982434 0.186611i \(-0.940249\pi\)
0.982434 0.186611i \(-0.0597506\pi\)
\(264\) −1.61574 + 2.27936i −0.0994421 + 0.140285i
\(265\) 7.95246 6.34188i 0.488516 0.389578i
\(266\) 11.2022 0.627969i 0.686851 0.0385032i
\(267\) −3.44996 2.75125i −0.211134 0.168374i
\(268\) 29.8213 + 1.10683i 1.82163 + 0.0676106i
\(269\) 4.80604 9.97985i 0.293030 0.608482i −0.701531 0.712639i \(-0.747500\pi\)
0.994561 + 0.104156i \(0.0332142\pi\)
\(270\) 3.64347 + 0.479114i 0.221735 + 0.0291579i
\(271\) −6.89277 + 8.64326i −0.418706 + 0.525041i −0.945793 0.324771i \(-0.894713\pi\)
0.527087 + 0.849812i \(0.323284\pi\)
\(272\) −16.6661 + 11.3775i −1.01053 + 0.689861i
\(273\) 1.98890 3.76089i 0.120374 0.227620i
\(274\) −7.05657 + 10.7812i −0.426303 + 0.651319i
\(275\) 1.73086i 0.104375i
\(276\) −4.03484 5.46357i −0.242869 0.328868i
\(277\) −9.40027 11.7876i −0.564807 0.708246i 0.414631 0.909990i \(-0.363911\pi\)
−0.979438 + 0.201744i \(0.935339\pi\)
\(278\) 15.8048 9.52659i 0.947911 0.571367i
\(279\) −1.76264 0.848841i −0.105526 0.0508188i
\(280\) 3.96795 19.0363i 0.237130 1.13764i
\(281\) −10.7240 + 5.16442i −0.639742 + 0.308084i −0.725489 0.688233i \(-0.758387\pi\)
0.0857473 + 0.996317i \(0.472672\pi\)
\(282\) 4.92683 7.52736i 0.293388 0.448248i
\(283\) 13.3151 6.41221i 0.791500 0.381166i 0.00596384 0.999982i \(-0.498102\pi\)
0.785536 + 0.618816i \(0.212387\pi\)
\(284\) −6.26672 + 7.28650i −0.371861 + 0.432374i
\(285\) 3.38079 7.02028i 0.200261 0.415845i
\(286\) 2.23651 0.210065i 0.132248 0.0124214i
\(287\) 5.86350 4.32518i 0.346112 0.255308i
\(288\) 1.36581 + 5.48950i 0.0804811 + 0.323472i
\(289\) 1.88039 8.23851i 0.110611 0.484619i
\(290\) −0.316720 + 0.853981i −0.0185984 + 0.0501475i
\(291\) 3.37790 + 0.770983i 0.198016 + 0.0451958i
\(292\) −14.2110 7.50527i −0.831638 0.439213i
\(293\) 10.4632i 0.611267i −0.952149 0.305633i \(-0.901132\pi\)
0.952149 0.305633i \(-0.0988682\pi\)
\(294\) 6.31319 + 7.62520i 0.368193 + 0.444710i
\(295\) 17.2368i 1.00356i
\(296\) −11.1549 1.89010i −0.648365 0.109860i
\(297\) −0.963040 0.219808i −0.0558813 0.0127545i
\(298\) −1.62544 0.602835i −0.0941594 0.0349213i
\(299\) −1.21514 + 5.32387i −0.0702733 + 0.307888i
\(300\) −2.65696 2.28511i −0.153400 0.131931i
\(301\) −15.8754 + 30.0194i −0.915042 + 1.73029i
\(302\) −0.564118 6.00603i −0.0324613 0.345608i
\(303\) −8.18086 + 16.9877i −0.469978 + 0.975919i
\(304\) 11.9615 + 0.889138i 0.686037 + 0.0509956i
\(305\) −16.2048 + 7.80381i −0.927883 + 0.446845i
\(306\) −5.96949 3.90717i −0.341253 0.223358i
\(307\) −15.6919 + 7.55682i −0.895584 + 0.431291i −0.824292 0.566165i \(-0.808427\pi\)
−0.0712923 + 0.997455i \(0.522712\pi\)
\(308\) −1.54043 + 4.99484i −0.0877742 + 0.284607i
\(309\) 11.1894 + 5.38853i 0.636543 + 0.306543i
\(310\) 3.71141 + 6.15732i 0.210794 + 0.349712i
\(311\) 11.6839 + 14.6512i 0.662534 + 0.830791i 0.993616 0.112811i \(-0.0359854\pi\)
−0.331083 + 0.943602i \(0.607414\pi\)
\(312\) 2.63021 3.71049i 0.148907 0.210065i
\(313\) 13.5438i 0.765544i 0.923843 + 0.382772i \(0.125030\pi\)
−0.923843 + 0.382772i \(0.874970\pi\)
\(314\) −13.5092 8.84206i −0.762367 0.498986i
\(315\) 6.75546 1.27644i 0.380627 0.0719194i
\(316\) −6.85838 0.254553i −0.385814 0.0143197i
\(317\) 12.9121 16.1913i 0.725218 0.909395i −0.273402 0.961900i \(-0.588149\pi\)
0.998621 + 0.0525048i \(0.0167205\pi\)
\(318\) −0.721739 + 5.48854i −0.0404731 + 0.307782i
\(319\) 0.106228 0.220585i 0.00594764 0.0123504i
\(320\) 6.84811 19.6277i 0.382821 1.09722i
\(321\) 2.55902 + 2.04075i 0.142831 + 0.113904i
\(322\) −10.3622 7.35397i −0.577465 0.409821i
\(323\) −11.8272 + 9.43186i −0.658082 + 0.524803i
\(324\) −1.60884 + 1.18813i −0.0893799 + 0.0660070i
\(325\) 2.81761i 0.156293i
\(326\) −25.5914 16.7501i −1.41737 0.927703i
\(327\) 3.97751 + 17.4266i 0.219957 + 0.963693i
\(328\) 6.81560 3.77087i 0.376329 0.208212i
\(329\) 4.36019 16.2561i 0.240385 0.896227i
\(330\) 2.51877 + 2.61399i 0.138654 + 0.143895i
\(331\) −11.0653 + 8.82429i −0.608205 + 0.485027i −0.878495 0.477752i \(-0.841452\pi\)
0.270290 + 0.962779i \(0.412880\pi\)
\(332\) −1.41666 + 2.68241i −0.0777492 + 0.147216i
\(333\) −0.890098 3.89977i −0.0487771 0.213706i
\(334\) 0.682669 5.19143i 0.0373540 0.284062i
\(335\) 8.62759 37.8000i 0.471376 2.06523i
\(336\) 5.63364 + 8.95891i 0.307341 + 0.488749i
\(337\) −7.23961 31.7188i −0.394367 1.72783i −0.648993 0.760795i \(-0.724809\pi\)
0.254626 0.967040i \(-0.418048\pi\)
\(338\) 14.6635 1.37727i 0.797588 0.0749136i
\(339\) −8.66345 + 10.8636i −0.470534 + 0.590031i
\(340\) 10.4916 + 24.0273i 0.568989 + 1.30306i
\(341\) −0.838491 1.74114i −0.0454068 0.0942883i
\(342\) 1.32613 + 4.02800i 0.0717086 + 0.217809i
\(343\) 15.6741 + 9.86520i 0.846322 + 0.532671i
\(344\) −20.9943 + 29.6171i −1.13194 + 1.59685i
\(345\) −7.95056 + 3.82879i −0.428044 + 0.206135i
\(346\) −2.62546 27.9527i −0.141146 1.50275i
\(347\) −6.65631 5.30823i −0.357329 0.284961i 0.428327 0.903624i \(-0.359103\pi\)
−0.785656 + 0.618663i \(0.787675\pi\)
\(348\) −0.198366 0.454286i −0.0106335 0.0243523i
\(349\) −17.4002 + 3.97149i −0.931413 + 0.212589i −0.661198 0.750211i \(-0.729952\pi\)
−0.270215 + 0.962800i \(0.587095\pi\)
\(350\) −6.05691 2.50957i −0.323755 0.134142i
\(351\) 1.56770 + 0.357818i 0.0836777 + 0.0190989i
\(352\) −2.32610 + 5.08071i −0.123981 + 0.270803i
\(353\) −7.92257 + 1.80827i −0.421676 + 0.0962447i −0.428093 0.903735i \(-0.640814\pi\)
0.00641736 + 0.999979i \(0.497957\pi\)
\(354\) −6.50916 6.75523i −0.345958 0.359037i
\(355\) 7.78531 + 9.76247i 0.413201 + 0.518138i
\(356\) −7.80386 4.12145i −0.413604 0.218437i
\(357\) −12.8917 3.45780i −0.682302 0.183006i
\(358\) −34.0782 4.48126i −1.80109 0.236842i
\(359\) −23.6046 + 5.38760i −1.24580 + 0.284347i −0.794081 0.607812i \(-0.792048\pi\)
−0.451723 + 0.892158i \(0.649190\pi\)
\(360\) 7.33793 0.415417i 0.386743 0.0218944i
\(361\) −10.0083 −0.526753
\(362\) −33.2510 + 10.9471i −1.74763 + 0.575367i
\(363\) 6.25001 + 7.83726i 0.328040 + 0.411350i
\(364\) 2.50762 8.13093i 0.131435 0.426177i
\(365\) −13.0188 + 16.3250i −0.681434 + 0.854492i
\(366\) 3.40382 9.17783i 0.177921 0.479733i
\(367\) 28.6537 + 13.7989i 1.49571 + 0.720298i 0.989824 0.142301i \(-0.0454499\pi\)
0.505890 + 0.862598i \(0.331164\pi\)
\(368\) −9.96327 9.23339i −0.519371 0.481324i
\(369\) 2.15309 + 1.71703i 0.112085 + 0.0893851i
\(370\) −5.11148 + 13.7823i −0.265733 + 0.716506i
\(371\) 1.92284 + 10.1765i 0.0998288 + 0.528335i
\(372\) −3.77974 1.01156i −0.195970 0.0524468i
\(373\) 36.8438 1.90770 0.953850 0.300285i \(-0.0970817\pi\)
0.953850 + 0.300285i \(0.0970817\pi\)
\(374\) −2.20385 6.69403i −0.113959 0.346140i
\(375\) 6.59816 5.26185i 0.340727 0.271721i
\(376\) 6.87801 16.6262i 0.354706 0.857433i
\(377\) −0.172926 + 0.359084i −0.00890612 + 0.0184937i
\(378\) −2.16550 + 3.05133i −0.111381 + 0.156944i
\(379\) −4.66785 9.69289i −0.239771 0.497890i 0.746008 0.665937i \(-0.231968\pi\)
−0.985779 + 0.168047i \(0.946254\pi\)
\(380\) 4.02886 15.0540i 0.206676 0.772256i
\(381\) 3.79664 + 7.88381i 0.194508 + 0.403900i
\(382\) 5.98613 + 9.93114i 0.306277 + 0.508121i
\(383\) 17.2042 + 8.28512i 0.879095 + 0.423350i 0.818294 0.574800i \(-0.194920\pi\)
0.0608011 + 0.998150i \(0.480634\pi\)
\(384\) 4.72822 + 10.2783i 0.241286 + 0.524514i
\(385\) 6.00338 + 3.17481i 0.305960 + 0.161803i
\(386\) −11.7121 + 7.05961i −0.596128 + 0.359324i
\(387\) −12.5134 2.85610i −0.636090 0.145184i
\(388\) 6.92476 + 0.257017i 0.351552 + 0.0130480i
\(389\) −0.690134 + 3.02367i −0.0349912 + 0.153306i −0.989405 0.145179i \(-0.953624\pi\)
0.954414 + 0.298485i \(0.0964814\pi\)
\(390\) −4.10022 4.25523i −0.207623 0.215472i
\(391\) 17.1321 0.866409
\(392\) 15.2453 + 12.6325i 0.770004 + 0.638039i
\(393\) −3.42211 −0.172623
\(394\) −24.0199 24.9280i −1.21011 1.25585i
\(395\) −1.98420 + 8.69334i −0.0998358 + 0.437409i
\(396\) −1.97425 0.0732756i −0.0992100 0.00368224i
\(397\) −20.7431 4.73448i −1.04107 0.237617i −0.332385 0.943144i \(-0.607853\pi\)
−0.708683 + 0.705527i \(0.750710\pi\)
\(398\) 18.0140 10.8582i 0.902960 0.544272i
\(399\) 4.70952 + 6.38454i 0.235771 + 0.319627i
\(400\) −6.07200 3.50079i −0.303600 0.175040i
\(401\) 15.9599 + 7.68589i 0.797001 + 0.383815i 0.787636 0.616141i \(-0.211305\pi\)
0.00936459 + 0.999956i \(0.497019\pi\)
\(402\) 10.8933 + 18.0722i 0.543307 + 0.901359i
\(403\) 1.36495 + 2.83435i 0.0679931 + 0.141189i
\(404\) −9.74906 + 36.4279i −0.485034 + 1.81236i
\(405\) 1.12745 + 2.34117i 0.0560234 + 0.116334i
\(406\) −0.617888 0.691558i −0.0306653 0.0343214i
\(407\) 1.71440 3.55999i 0.0849797 0.176462i
\(408\) −13.1853 5.45453i −0.652768 0.270040i
\(409\) 11.4419 9.12462i 0.565766 0.451183i −0.298364 0.954452i \(-0.596441\pi\)
0.864130 + 0.503269i \(0.167869\pi\)
\(410\) −3.16472 9.61260i −0.156295 0.474732i
\(411\) −9.11126 −0.449426
\(412\) 23.9942 + 6.42147i 1.18211 + 0.316363i
\(413\) −15.5143 8.20454i −0.763409 0.403719i
\(414\) 1.67002 4.50292i 0.0820769 0.221307i
\(415\) 3.08143 + 2.45736i 0.151262 + 0.120627i
\(416\) 3.78658 8.27073i 0.185652 0.405506i
\(417\) 11.7567 + 5.66172i 0.575727 + 0.277255i
\(418\) −1.45663 + 3.92756i −0.0712462 + 0.192103i
\(419\) −0.660675 + 0.828461i −0.0322761 + 0.0404730i −0.797708 0.603044i \(-0.793954\pi\)
0.765431 + 0.643517i \(0.222526\pi\)
\(420\) 12.7993 5.02407i 0.624540 0.245150i
\(421\) 12.7095 + 15.9372i 0.619423 + 0.776732i 0.988263 0.152761i \(-0.0488163\pi\)
−0.368840 + 0.929493i \(0.620245\pi\)
\(422\) 24.6425 8.11297i 1.19958 0.394933i
\(423\) 6.36140 0.309302
\(424\) 0.625786 + 11.0539i 0.0303909 + 0.536824i
\(425\) 8.61806 1.96702i 0.418037 0.0954143i
\(426\) −6.73776 0.886010i −0.326445 0.0429273i
\(427\) 0.689348 18.3000i 0.0333599 0.885599i
\(428\) 5.78854 + 3.05710i 0.279800 + 0.147771i
\(429\) 0.990358 + 1.24187i 0.0478149 + 0.0599580i
\(430\) 32.7279 + 33.9652i 1.57828 + 1.63795i
\(431\) −18.6172 + 4.24926i −0.896760 + 0.204680i −0.645971 0.763362i \(-0.723547\pi\)
−0.250789 + 0.968042i \(0.580690\pi\)
\(432\) −2.71892 + 2.93385i −0.130814 + 0.141155i
\(433\) 28.1087 + 6.41562i 1.35082 + 0.308315i 0.835879 0.548913i \(-0.184958\pi\)
0.514937 + 0.857228i \(0.327815\pi\)
\(434\) −7.30863 + 0.409704i −0.350825 + 0.0196664i
\(435\) −0.627900 + 0.143314i −0.0301055 + 0.00687139i
\(436\) 14.3058 + 32.7623i 0.685124 + 1.56903i
\(437\) −7.96156 6.34914i −0.380853 0.303720i
\(438\) −1.06269 11.3142i −0.0507774 0.540615i
\(439\) −24.0154 + 11.5652i −1.14619 + 0.551977i −0.907887 0.419214i \(-0.862306\pi\)
−0.238304 + 0.971191i \(0.576591\pi\)
\(440\) 5.92292 + 4.19851i 0.282364 + 0.200156i
\(441\) −2.06665 + 6.68797i −0.0984120 + 0.318475i
\(442\) 3.58758 + 10.8970i 0.170644 + 0.518317i
\(443\) −15.9059 33.0289i −0.755711 1.56925i −0.820696 0.571365i \(-0.806414\pi\)
0.0649849 0.997886i \(-0.479300\pi\)
\(444\) −3.20140 7.33165i −0.151932 0.347945i
\(445\) −7.14915 + 8.96475i −0.338902 + 0.424970i
\(446\) 24.6976 2.31973i 1.16946 0.109842i
\(447\) −0.272780 1.19513i −0.0129020 0.0565276i
\(448\) 14.4067 + 15.5064i 0.680651 + 0.732608i
\(449\) −3.40970 + 14.9389i −0.160914 + 0.705008i 0.828513 + 0.559970i \(0.189187\pi\)
−0.989426 + 0.145038i \(0.953670\pi\)
\(450\) 0.323076 2.45687i 0.0152300 0.115818i
\(451\) 0.605329 + 2.65212i 0.0285038 + 0.124883i
\(452\) −12.9781 + 24.5737i −0.610438 + 1.15585i
\(453\) 3.33498 2.65956i 0.156691 0.124957i
\(454\) −23.2214 24.0993i −1.08983 1.13103i
\(455\) −9.77270 5.16817i −0.458151 0.242288i
\(456\) 4.10595 + 7.42124i 0.192279 + 0.347531i
\(457\) −1.84599 8.08779i −0.0863516 0.378331i 0.913224 0.407458i \(-0.133585\pi\)
−0.999576 + 0.0291265i \(0.990727\pi\)
\(458\) −20.7604 13.5881i −0.970069 0.634932i
\(459\) 5.04484i 0.235473i
\(460\) −14.1971 + 10.4846i −0.661944 + 0.488845i
\(461\) 24.5205 19.5544i 1.14203 0.910740i 0.145131 0.989412i \(-0.453640\pi\)
0.996900 + 0.0786727i \(0.0250682\pi\)
\(462\) −3.55169 + 1.02284i −0.165239 + 0.0475866i
\(463\) −1.51558 1.20863i −0.0704348 0.0561699i 0.587640 0.809123i \(-0.300057\pi\)
−0.658074 + 0.752953i \(0.728629\pi\)
\(464\) −0.558977 0.818807i −0.0259498 0.0380122i
\(465\) −2.20572 + 4.58022i −0.102288 + 0.212403i
\(466\) 2.29882 17.4816i 0.106491 0.809819i
\(467\) −19.2579 + 24.1486i −0.891148 + 1.11746i 0.101307 + 0.994855i \(0.467698\pi\)
−0.992455 + 0.122610i \(0.960874\pi\)
\(468\) 3.21382 + 0.119283i 0.148559 + 0.00551385i
\(469\) 29.9160 + 25.7579i 1.38139 + 1.18939i
\(470\) −19.5599 12.8024i −0.902230 0.590530i
\(471\) 11.4167i 0.526052i
\(472\) −15.3064 10.8501i −0.704534 0.499415i
\(473\) −7.90502 9.91259i −0.363473 0.455781i
\(474\) −2.50526 4.15629i −0.115071 0.190905i
\(475\) −4.73392 2.27973i −0.217207 0.104601i
\(476\) −26.6202 1.99358i −1.22014 0.0913754i
\(477\) −3.52675 + 1.69839i −0.161479 + 0.0777641i
\(478\) 25.1589 + 16.4671i 1.15074 + 0.753187i
\(479\) 14.2689 6.87155i 0.651964 0.313969i −0.0785065 0.996914i \(-0.525015\pi\)
0.730470 + 0.682944i \(0.239301\pi\)
\(480\) 14.2645 3.54906i 0.651081 0.161992i
\(481\) −2.79082 + 5.79519i −0.127250 + 0.264238i
\(482\) −1.20667 12.8472i −0.0549624 0.585172i
\(483\) 0.338215 8.97853i 0.0153893 0.408537i
\(484\) 15.2001 + 13.0728i 0.690914 + 0.594218i
\(485\) 2.00340 8.77748i 0.0909698 0.398565i
\(486\) −1.32596 0.491764i −0.0601467 0.0223069i
\(487\) 12.1194 + 2.76617i 0.549181 + 0.125347i 0.488103 0.872786i \(-0.337689\pi\)
0.0610781 + 0.998133i \(0.480546\pi\)
\(488\) 3.27061 19.3023i 0.148054 0.873773i
\(489\) 21.6273i 0.978022i
\(490\) 19.8141 16.4049i 0.895110 0.741096i
\(491\) 24.4628i 1.10399i −0.833847 0.551995i \(-0.813867\pi\)
0.833847 0.551995i \(-0.186133\pi\)
\(492\) 4.87031 + 2.57216i 0.219571 + 0.115962i
\(493\) 1.21903 + 0.278236i 0.0549024 + 0.0125311i
\(494\) 2.37120 6.39355i 0.106685 0.287659i
\(495\) −0.571171 + 2.50246i −0.0256722 + 0.112477i
\(496\) −7.80399 0.580098i −0.350409 0.0260472i
\(497\) −12.4927 + 2.36048i −0.560372 + 0.105882i
\(498\) −2.13562 + 0.200589i −0.0956994 + 0.00898859i
\(499\) −17.8968 + 37.1631i −0.801171 + 1.66365i −0.0544459 + 0.998517i \(0.517339\pi\)
−0.746725 + 0.665133i \(0.768375\pi\)
\(500\) 11.0059 12.7969i 0.492200 0.572295i
\(501\) 3.33584 1.60645i 0.149034 0.0717711i
\(502\) 17.7007 27.0437i 0.790021 1.20702i
\(503\) 20.2001 9.72786i 0.900678 0.433744i 0.0745443 0.997218i \(-0.476250\pi\)
0.826134 + 0.563474i \(0.190535\pi\)
\(504\) −3.11888 + 6.80239i −0.138926 + 0.303003i
\(505\) 44.1427 + 21.2580i 1.96432 + 0.945968i
\(506\) 4.06305 2.44906i 0.180624 0.108874i
\(507\) 6.49320 + 8.14221i 0.288373 + 0.361608i
\(508\) 10.3965 + 14.0779i 0.461272 + 0.624607i
\(509\) 1.60217i 0.0710150i 0.999369 + 0.0355075i \(0.0113048\pi\)
−0.999369 + 0.0355075i \(0.988695\pi\)
\(510\) −10.1528 + 15.5117i −0.449573 + 0.686872i
\(511\) −8.49687 19.4884i −0.375879 0.862116i
\(512\) 13.1189 + 18.4363i 0.579777 + 0.814775i
\(513\) −1.86961 + 2.34441i −0.0825452 + 0.103508i
\(514\) −44.0369 5.79081i −1.94238 0.255422i
\(515\) 14.0021 29.0757i 0.617007 1.28123i
\(516\) −25.6527 0.952114i −1.12930 0.0419145i
\(517\) 4.91290 + 3.91791i 0.216069 + 0.172309i
\(518\) −9.97200 11.1609i −0.438144 0.490383i
\(519\) 15.5213 12.3779i 0.681311 0.543328i
\(520\) −9.64173 6.83462i −0.422818 0.299718i
\(521\) 35.2662i 1.54504i 0.634990 + 0.772520i \(0.281004\pi\)
−0.634990 + 0.772520i \(0.718996\pi\)
\(522\) 0.191959 0.293282i 0.00840184 0.0128366i
\(523\) −0.172653 0.756443i −0.00754959 0.0330769i 0.971013 0.239027i \(-0.0768286\pi\)
−0.978562 + 0.205950i \(0.933971\pi\)
\(524\) −6.72452 + 1.27445i −0.293762 + 0.0556745i
\(525\) −0.860731 4.55535i −0.0375654 0.198812i
\(526\) 6.16388 5.93935i 0.268758 0.258968i
\(527\) 7.71637 6.15360i 0.336131 0.268055i
\(528\) −3.90674 + 0.591255i −0.170019 + 0.0257311i
\(529\) −2.55173 11.1799i −0.110945 0.486081i
\(530\) 14.2620 + 1.87544i 0.619502 + 0.0814640i
\(531\) 1.47606 6.46703i 0.0640554 0.280645i
\(532\) 11.6320 + 10.7918i 0.504312 + 0.467886i
\(533\) −0.985396 4.31730i −0.0426822 0.187003i
\(534\) −0.583568 6.21311i −0.0252535 0.268868i
\(535\) 5.30291 6.64964i 0.229265 0.287489i
\(536\) 28.1359 + 31.4554i 1.21528 + 1.35867i
\(537\) −10.5453 21.8975i −0.455063 0.944947i
\(538\) 14.8793 4.89867i 0.641493 0.211197i
\(539\) −5.71511 + 3.89228i −0.246167 + 0.167653i
\(540\) 3.08735 + 4.18057i 0.132858 + 0.179903i
\(541\) 7.09670 3.41759i 0.305111 0.146934i −0.275063 0.961426i \(-0.588699\pi\)
0.580174 + 0.814492i \(0.302984\pi\)
\(542\) −15.5658 + 1.46202i −0.668610 + 0.0627993i
\(543\) −19.3530 15.4335i −0.830518 0.662316i
\(544\) −27.9407 5.80787i −1.19795 0.249011i
\(545\) 45.2831 10.3356i 1.93971 0.442727i
\(546\) 5.78167 1.66504i 0.247433 0.0712571i
\(547\) 4.71169 + 1.07541i 0.201457 + 0.0459813i 0.322059 0.946720i \(-0.395625\pi\)
−0.120601 + 0.992701i \(0.538482\pi\)
\(548\) −17.9038 + 3.39318i −0.764813 + 0.144949i
\(549\) 6.74812 1.54021i 0.288003 0.0657347i
\(550\) 1.76267 1.69846i 0.0751603 0.0724225i
\(551\) −0.463388 0.581070i −0.0197410 0.0247544i
\(552\) 1.60466 9.47028i 0.0682989 0.403082i
\(553\) −6.88016 5.92387i −0.292574 0.251909i
\(554\) 2.77988 21.1399i 0.118106 0.898148i
\(555\) −10.1336 + 2.31292i −0.430146 + 0.0981781i
\(556\) 25.2106 + 6.74702i 1.06917 + 0.286137i
\(557\) −8.54172 −0.361924 −0.180962 0.983490i \(-0.557921\pi\)
−0.180962 + 0.983490i \(0.557921\pi\)
\(558\) −0.865200 2.62798i −0.0366268 0.111251i
\(559\) 12.8683 + 16.1364i 0.544272 + 0.682496i
\(560\) 23.2798 14.6391i 0.983750 0.618613i
\(561\) 3.10705 3.89612i 0.131180 0.164494i
\(562\) −15.7826 5.85336i −0.665749 0.246909i
\(563\) 3.46915 + 1.67065i 0.146207 + 0.0704096i 0.505557 0.862793i \(-0.331287\pi\)
−0.359350 + 0.933203i \(0.617001\pi\)
\(564\) 12.5003 2.36908i 0.526357 0.0997564i
\(565\) 28.2292 + 22.5120i 1.18761 + 0.947088i
\(566\) 19.5959 + 7.26760i 0.823676 + 0.305480i
\(567\) −2.64388 0.0995929i −0.111032 0.00418251i
\(568\) −13.5698 + 0.768217i −0.569376 + 0.0322337i
\(569\) −36.2227 −1.51854 −0.759268 0.650778i \(-0.774443\pi\)
−0.759268 + 0.650778i \(0.774443\pi\)
\(570\) 10.4668 3.44594i 0.438405 0.144335i
\(571\) 12.3542 9.85212i 0.517006 0.412298i −0.329921 0.944009i \(-0.607022\pi\)
0.846926 + 0.531710i \(0.178451\pi\)
\(572\) 2.40857 + 2.07148i 0.100707 + 0.0866127i
\(573\) −3.55760 + 7.38743i −0.148621 + 0.308614i
\(574\) 10.1584 + 1.72704i 0.424004 + 0.0720851i
\(575\) 2.58183 + 5.36122i 0.107670 + 0.223578i
\(576\) −4.25013 + 6.77764i −0.177089 + 0.282402i
\(577\) −11.1534 23.1603i −0.464322 0.964174i −0.993303 0.115540i \(-0.963140\pi\)
0.528981 0.848634i \(-0.322574\pi\)
\(578\) 10.2351 6.16935i 0.425724 0.256611i
\(579\) −8.71219 4.19557i −0.362066 0.174362i
\(580\) −1.18046 + 0.515455i −0.0490161 + 0.0214031i
\(581\) −3.67854 + 1.60383i −0.152611 + 0.0665380i
\(582\) 2.52951 + 4.19652i 0.104852 + 0.173951i
\(583\) −3.76972 0.860415i −0.156126 0.0356347i
\(584\) −6.30181 21.8370i −0.260771 0.903620i
\(585\) 0.929791 4.07368i 0.0384421 0.168426i
\(586\) 10.6555 10.2673i 0.440174 0.424140i
\(587\) −12.0178 −0.496027 −0.248014 0.968757i \(-0.579778\pi\)
−0.248014 + 0.968757i \(0.579778\pi\)
\(588\) −1.57031 + 13.9117i −0.0647585 + 0.573707i
\(589\) −5.86643 −0.241722
\(590\) −17.5535 + 16.9141i −0.722666 + 0.696342i
\(591\) 5.44690 23.8644i 0.224055 0.981651i
\(592\) −9.02123 13.2146i −0.370770 0.543117i
\(593\) 30.8888 + 7.05016i 1.26845 + 0.289515i 0.803224 0.595677i \(-0.203116\pi\)
0.465226 + 0.885192i \(0.345973\pi\)
\(594\) −0.721165 1.19643i −0.0295898 0.0490901i
\(595\) −8.98511 + 33.4992i −0.368354 + 1.37333i
\(596\) −0.981102 2.24686i −0.0401875 0.0920350i
\(597\) 13.4000 + 6.45309i 0.548425 + 0.264107i
\(598\) −6.61410 + 3.98674i −0.270471 + 0.163030i
\(599\) 12.9409 + 26.8720i 0.528749 + 1.09796i 0.978774 + 0.204943i \(0.0657009\pi\)
−0.450025 + 0.893016i \(0.648585\pi\)
\(600\) −0.280124 4.94812i −0.0114360 0.202006i
\(601\) −8.38228 17.4060i −0.341920 0.710005i 0.657121 0.753785i \(-0.271774\pi\)
−0.999041 + 0.0437806i \(0.986060\pi\)
\(602\) −46.1492 + 13.2903i −1.88090 + 0.541673i
\(603\) −6.47394 + 13.4433i −0.263639 + 0.547452i
\(604\) 5.56284 6.46808i 0.226349 0.263183i
\(605\) 20.3652 16.2407i 0.827962 0.660277i
\(606\) −25.3276 + 8.33852i −1.02886 + 0.338729i
\(607\) −0.344296 −0.0139745 −0.00698727 0.999976i \(-0.502224\pi\)
−0.00698727 + 0.999976i \(0.502224\pi\)
\(608\) 10.8321 + 13.0538i 0.439298 + 0.529400i
\(609\) 0.169882 0.633371i 0.00688397 0.0256655i
\(610\) −23.8486 8.84484i −0.965603 0.358117i
\(611\) −7.99755 6.37783i −0.323546 0.258019i
\(612\) −1.87878 9.91321i −0.0759450 0.400718i
\(613\) 1.27025 + 0.611720i 0.0513049 + 0.0247071i 0.459360 0.888250i \(-0.348079\pi\)
−0.408055 + 0.912957i \(0.633793\pi\)
\(614\) −23.0938 8.56491i −0.931992 0.345651i
\(615\) 4.46171 5.59481i 0.179914 0.225605i
\(616\) −6.59822 + 3.33260i −0.265850 + 0.134274i
\(617\) −14.9988 18.8079i −0.603829 0.757178i 0.382140 0.924104i \(-0.375187\pi\)
−0.985969 + 0.166927i \(0.946616\pi\)
\(618\) 5.49238 + 16.6827i 0.220936 + 0.671076i
\(619\) −11.1721 −0.449043 −0.224521 0.974469i \(-0.572082\pi\)
−0.224521 + 0.974469i \(0.572082\pi\)
\(620\) −2.62854 + 9.82167i −0.105565 + 0.394448i
\(621\) 3.31083 0.755675i 0.132859 0.0303242i
\(622\) −3.45521 + 26.2755i −0.138541 + 1.05355i
\(623\) −4.66598 10.7019i −0.186938 0.428762i
\(624\) 6.35965 0.962484i 0.254590 0.0385302i
\(625\) −19.1354 23.9951i −0.765417 0.959802i
\(626\) −13.7927 + 13.2903i −0.551268 + 0.531187i
\(627\) −2.88779 + 0.659119i −0.115327 + 0.0263227i
\(628\) −4.25174 22.4340i −0.169663 0.895212i
\(629\) 19.6737 + 4.49040i 0.784443 + 0.179044i
\(630\) 7.92890 + 5.62705i 0.315895 + 0.224187i
\(631\) 12.2055 2.78583i 0.485895 0.110902i 0.0274461 0.999623i \(-0.491263\pi\)
0.458448 + 0.888721i \(0.348405\pi\)
\(632\) −6.47076 7.23420i −0.257393 0.287761i
\(633\) 14.3426 + 11.4379i 0.570069 + 0.454615i
\(634\) 29.1593 2.73879i 1.15806 0.108771i
\(635\) 20.4861 9.86559i 0.812967 0.391504i
\(636\) −6.29763 + 4.65079i −0.249717 + 0.184416i
\(637\) 9.30344 6.33612i 0.368616 0.251046i
\(638\) 0.328878 0.108276i 0.0130204 0.00428667i
\(639\) −2.08495 4.32945i −0.0824795 0.171271i
\(640\) 26.7083 12.2863i 1.05574 0.485658i
\(641\) 3.98346 4.99511i 0.157337 0.197295i −0.696914 0.717154i \(-0.745444\pi\)
0.854252 + 0.519859i \(0.174016\pi\)
\(642\) 0.432864 + 4.60860i 0.0170838 + 0.181887i
\(643\) −1.53651 6.73191i −0.0605942 0.265481i 0.935552 0.353189i \(-0.114903\pi\)
−0.996146 + 0.0877084i \(0.972046\pi\)
\(644\) −2.67915 17.7690i −0.105573 0.700195i
\(645\) −7.42158 + 32.5161i −0.292224 + 1.28032i
\(646\) −21.2110 2.78922i −0.834534 0.109741i
\(647\) 1.58369 + 6.93862i 0.0622614 + 0.272785i 0.996471 0.0839400i \(-0.0267504\pi\)
−0.934209 + 0.356725i \(0.883893\pi\)
\(648\) −2.78868 0.472519i −0.109550 0.0185623i
\(649\) 5.12292 4.08539i 0.201092 0.160366i
\(650\) −2.86939 + 2.76486i −0.112547 + 0.108447i
\(651\) −3.07262 4.16545i −0.120425 0.163257i
\(652\) −8.05436 42.4982i −0.315433 1.66436i
\(653\) 5.85169 + 25.6379i 0.228994 + 1.00329i 0.950462 + 0.310841i \(0.100611\pi\)
−0.721467 + 0.692448i \(0.756532\pi\)
\(654\) −13.8438 + 21.1510i −0.541335 + 0.827068i
\(655\) 8.89238i 0.347454i
\(656\) 10.5282 + 3.24056i 0.411056 + 0.126523i
\(657\) 6.28248 5.01011i 0.245103 0.195463i
\(658\) 20.8334 11.5115i 0.812170 0.448763i
\(659\) 36.4397 + 29.0597i 1.41949 + 1.13200i 0.971242 + 0.238094i \(0.0765225\pi\)
0.448246 + 0.893910i \(0.352049\pi\)
\(660\) −0.190407 + 5.13011i −0.00741158 + 0.199689i
\(661\) 9.66945 20.0788i 0.376098 0.780976i −0.623902 0.781503i \(-0.714453\pi\)
1.00000 0.000527070i \(0.000167772\pi\)
\(662\) −19.8446 2.60955i −0.771283 0.101423i
\(663\) −5.05787 + 6.34237i −0.196431 + 0.246317i
\(664\) −4.12184 + 1.18950i −0.159958 + 0.0461615i
\(665\) 16.5902 12.2377i 0.643342 0.474558i
\(666\) 3.09800 4.73322i 0.120045 0.183409i
\(667\) 0.841703i 0.0325909i
\(668\) 5.95672 4.39903i 0.230472 0.170204i
\(669\) 10.9364 + 13.7139i 0.422827 + 0.530209i
\(670\) 46.9607 28.3062i 1.81425 1.09356i
\(671\) 6.16016 + 2.96658i 0.237810 + 0.114523i
\(672\) −3.59536 + 14.5284i −0.138694 + 0.560444i
\(673\) 8.02593 3.86508i 0.309377 0.148988i −0.272752 0.962084i \(-0.587934\pi\)
0.582129 + 0.813096i \(0.302220\pi\)
\(674\) 25.1976 38.4977i 0.970575 1.48288i
\(675\) 1.57870 0.760262i 0.0607642 0.0292625i
\(676\) 15.7915 + 13.5814i 0.607367 + 0.522363i
\(677\) 12.4926 25.9412i 0.480131 0.997002i −0.510429 0.859920i \(-0.670513\pi\)
0.990560 0.137082i \(-0.0437724\pi\)
\(678\) −19.5645 + 1.83760i −0.751371 + 0.0705727i
\(679\) 6.94675 + 5.98121i 0.266592 + 0.229538i
\(680\) −14.1736 + 34.2620i −0.543534 + 1.31389i
\(681\) 5.26583 23.0711i 0.201787 0.884086i
\(682\) 0.950346 2.56245i 0.0363906 0.0981212i
\(683\) 12.7199 + 2.90323i 0.486712 + 0.111089i 0.458833 0.888522i \(-0.348268\pi\)
0.0278790 + 0.999611i \(0.491125\pi\)
\(684\) −2.80072 + 5.30309i −0.107088 + 0.202769i
\(685\) 23.6757i 0.904600i
\(686\) 5.33420 + 25.6427i 0.203661 + 0.979042i
\(687\) 17.5447i 0.669371i
\(688\) −50.7627 + 7.68253i −1.93531 + 0.292894i
\(689\) 6.13661 + 1.40064i 0.233786 + 0.0533602i
\(690\) −11.7009 4.33955i −0.445444 0.165204i
\(691\) 3.69503 16.1890i 0.140566 0.615859i −0.854738 0.519059i \(-0.826282\pi\)
0.995304 0.0967994i \(-0.0308605\pi\)
\(692\) 25.8900 30.1031i 0.984192 1.14435i
\(693\) −1.98052 1.70525i −0.0752339 0.0647769i
\(694\) −1.12593 11.9875i −0.0427396 0.455039i
\(695\) 14.7120 30.5498i 0.558058 1.15882i
\(696\) 0.267982 0.647793i 0.0101578 0.0245545i
\(697\) −12.5172 + 6.02795i −0.474121 + 0.228325i
\(698\) −21.1190 13.8228i −0.799364 0.523202i
\(699\) 11.2331 5.40956i 0.424874 0.204608i
\(700\) −3.38784 8.63080i −0.128048 0.326214i
\(701\) 26.0437 + 12.5420i 0.983658 + 0.473705i 0.855362 0.518031i \(-0.173335\pi\)
0.128296 + 0.991736i \(0.459049\pi\)
\(702\) 1.17396 + 1.94763i 0.0443083 + 0.0735085i
\(703\) −7.47855 9.37780i −0.282059 0.353690i
\(704\) −7.45663 + 2.61676i −0.281032 + 0.0986228i
\(705\) 16.5301i 0.622560i
\(706\) −9.61576 6.29373i −0.361894 0.236868i
\(707\) −40.1452 + 29.6129i −1.50982 + 1.11371i
\(708\) 0.492061 13.2575i 0.0184928 0.498249i
\(709\) 6.84905 8.58844i 0.257222 0.322546i −0.636407 0.771354i \(-0.719580\pi\)
0.893628 + 0.448808i \(0.148151\pi\)
\(710\) −2.30230 + 17.5081i −0.0864038 + 0.657067i
\(711\) 1.48889 3.09172i 0.0558379 0.115949i
\(712\) −3.46058 11.9916i −0.129691 0.449403i
\(713\) 5.19434 + 4.14235i 0.194530 + 0.155132i
\(714\) −9.12904 16.5217i −0.341646 0.618309i
\(715\) 3.22700 2.57345i 0.120683 0.0962416i
\(716\) −28.8767 39.1018i −1.07917 1.46130i
\(717\) 21.2619i 0.794041i
\(718\) −28.6493 18.7516i −1.06918 0.699805i
\(719\) 8.94445 + 39.1882i 0.333572 + 1.46147i 0.812161 + 0.583434i \(0.198291\pi\)
−0.478589 + 0.878039i \(0.658852\pi\)
\(720\) 7.62361 + 7.06513i 0.284115 + 0.263302i
\(721\) 19.5053 + 26.4427i 0.726416 + 0.984777i
\(722\) −9.82094 10.1922i −0.365498 0.379315i
\(723\) 7.13366 5.68890i 0.265304 0.211573i
\(724\) −43.7768 23.1198i −1.62695 0.859242i
\(725\) 0.0966397 + 0.423406i 0.00358911 + 0.0157249i
\(726\) −1.84828 + 14.0554i −0.0685959 + 0.521645i
\(727\) −0.806567 + 3.53380i −0.0299139 + 0.131061i −0.987680 0.156487i \(-0.949983\pi\)
0.957766 + 0.287548i \(0.0928402\pi\)
\(728\) 10.7410 5.42502i 0.398089 0.201065i
\(729\) −0.222521 0.974928i −0.00824152 0.0361084i
\(730\) −29.4001 + 2.76141i −1.08815 + 0.102204i
\(731\) 40.3718 50.6247i 1.49321 1.87242i
\(732\) 12.6866 5.53965i 0.468910 0.204751i
\(733\) −17.9413 37.2555i −0.662676 1.37606i −0.913024 0.407905i \(-0.866259\pi\)
0.250348 0.968156i \(-0.419455\pi\)
\(734\) 14.0649 + 42.7209i 0.519143 + 1.57686i
\(735\) 17.3787 + 5.37020i 0.641024 + 0.198083i
\(736\) −0.373686 19.2069i −0.0137743 0.707975i
\(737\) −13.2794 + 6.39500i −0.489151 + 0.235563i
\(738\) 0.364199 + 3.87754i 0.0134063 + 0.142734i
\(739\) −25.8182 20.5893i −0.949738 0.757391i 0.0204383 0.999791i \(-0.493494\pi\)
−0.970176 + 0.242400i \(0.922065\pi\)
\(740\) −19.0513 + 8.31884i −0.700341 + 0.305807i
\(741\) 4.70094 1.07296i 0.172693 0.0394161i
\(742\) −8.47662 + 11.9441i −0.311186 + 0.438482i
\(743\) −0.291054 0.0664312i −0.0106777 0.00243712i 0.217179 0.976132i \(-0.430315\pi\)
−0.227856 + 0.973695i \(0.573172\pi\)
\(744\) −2.67884 4.84182i −0.0982109 0.177510i
\(745\) −3.10554 + 0.708820i −0.113778 + 0.0259691i
\(746\) 36.1541 + 37.5208i 1.32369 + 1.37374i
\(747\) −0.945683 1.18585i −0.0346007 0.0433879i
\(748\) 4.65445 8.81307i 0.170183 0.322238i
\(749\) 3.46101 + 7.93816i 0.126462 + 0.290054i
\(750\) 11.8332 + 1.55605i 0.432087 + 0.0568191i
\(751\) 27.7196 6.32681i 1.01150 0.230869i 0.315513 0.948921i \(-0.397824\pi\)
0.695989 + 0.718053i \(0.254966\pi\)
\(752\) 23.6810 9.31059i 0.863558 0.339522i
\(753\) 22.8547 0.832872
\(754\) −0.535370 + 0.176258i −0.0194970 + 0.00641894i
\(755\) −6.91087 8.66596i −0.251512 0.315387i
\(756\) −5.23236 + 0.788918i −0.190299 + 0.0286927i
\(757\) −29.5374 + 37.0387i −1.07355 + 1.34619i −0.139031 + 0.990288i \(0.544399\pi\)
−0.934522 + 0.355905i \(0.884173\pi\)
\(758\) 5.29054 14.2651i 0.192161 0.518131i
\(759\) 3.02236 + 1.45549i 0.109705 + 0.0528310i
\(760\) 19.2841 10.6693i 0.699508 0.387018i
\(761\) 37.4360 + 29.8542i 1.35705 + 1.08221i 0.988273 + 0.152699i \(0.0487964\pi\)
0.368782 + 0.929516i \(0.379775\pi\)
\(762\) −4.30311 + 11.6026i −0.155885 + 0.420319i
\(763\) −12.2516 + 45.6776i −0.443538 + 1.65364i
\(764\) −4.23956 + 15.8414i −0.153382 + 0.573120i
\(765\) −13.1090 −0.473958
\(766\) 8.44479 + 25.6504i 0.305123 + 0.926786i
\(767\) −8.33943 + 6.65047i −0.301119 + 0.240135i
\(768\) −5.82750 + 14.9010i −0.210282 + 0.537694i
\(769\) −5.22384 + 10.8474i −0.188376 + 0.391168i −0.973672 0.227953i \(-0.926797\pi\)
0.785296 + 0.619121i \(0.212511\pi\)
\(770\) 2.65784 + 9.22907i 0.0957820 + 0.332593i
\(771\) −13.6269 28.2966i −0.490762 1.01908i