Properties

Label 392.2.z.a.109.6
Level $392$
Weight $2$
Character 392.109
Analytic conductor $3.130$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 392 = 2^{3} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 392.z (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.13013575923\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 109.6
Character \(\chi\) \(=\) 392.109
Dual form 392.2.z.a.205.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.31143 - 0.529303i) q^{2} +(0.197978 + 1.31349i) q^{3} +(1.43968 + 1.38828i) q^{4} +(0.400186 + 0.157061i) q^{5} +(0.435604 - 1.82734i) q^{6} +(2.29348 - 1.31907i) q^{7} +(-1.15321 - 2.58266i) q^{8} +(1.18064 - 0.364181i) q^{9} +O(q^{10})\) \(q+(-1.31143 - 0.529303i) q^{2} +(0.197978 + 1.31349i) q^{3} +(1.43968 + 1.38828i) q^{4} +(0.400186 + 0.157061i) q^{5} +(0.435604 - 1.82734i) q^{6} +(2.29348 - 1.31907i) q^{7} +(-1.15321 - 2.58266i) q^{8} +(1.18064 - 0.364181i) q^{9} +(-0.441681 - 0.417794i) q^{10} +(1.11866 - 3.62661i) q^{11} +(-1.53848 + 2.16586i) q^{12} +(-3.49195 + 0.797016i) q^{13} +(-3.70592 + 0.515922i) q^{14} +(-0.127072 + 0.556737i) q^{15} +(0.145340 + 3.99736i) q^{16} +(4.88123 - 3.32797i) q^{17} +(-1.74109 - 0.147323i) q^{18} +(-1.60836 + 0.928587i) q^{19} +(0.358093 + 0.781689i) q^{20} +(2.18665 + 2.75133i) q^{21} +(-3.38662 + 4.16392i) q^{22} +(6.85261 + 4.67203i) q^{23} +(3.16400 - 2.02604i) q^{24} +(-3.52978 - 3.27516i) q^{25} +(5.00130 + 0.803074i) q^{26} +(2.44111 + 5.06903i) q^{27} +(5.13312 + 1.28496i) q^{28} +(1.43164 - 2.97283i) q^{29} +(0.461328 - 0.662860i) q^{30} +(-3.59829 + 6.23242i) q^{31} +(1.92521 - 5.31917i) q^{32} +(4.98500 + 0.751369i) q^{33} +(-8.16288 + 1.78073i) q^{34} +(1.12499 - 0.167657i) q^{35} +(2.20533 + 1.11477i) q^{36} +(0.975748 - 0.0731222i) q^{37} +(2.60075 - 0.366464i) q^{38} +(-1.73820 - 4.42887i) q^{39} +(-0.0558621 - 1.21467i) q^{40} +(-1.32567 - 1.66234i) q^{41} +(-1.41135 - 4.76556i) q^{42} +(5.52298 + 4.40443i) q^{43} +(6.64527 - 3.66813i) q^{44} +(0.529676 + 0.0396937i) q^{45} +(-6.51378 - 9.75413i) q^{46} +(-1.01171 + 0.938733i) q^{47} +(-5.22174 + 0.982291i) q^{48} +(3.52009 - 6.05053i) q^{49} +(2.89549 + 6.16345i) q^{50} +(5.33764 + 5.75261i) q^{51} +(-6.13377 - 3.70038i) q^{52} +(-2.59340 - 0.194349i) q^{53} +(-0.518291 - 7.93974i) q^{54} +(1.01727 - 1.27562i) q^{55} +(-6.05157 - 4.40210i) q^{56} +(-1.53811 - 1.92873i) q^{57} +(-3.45102 + 3.14088i) q^{58} +(9.74555 - 3.82485i) q^{59} +(-0.955851 + 0.625110i) q^{60} +(-9.85193 + 0.738300i) q^{61} +(8.01773 - 6.26877i) q^{62} +(2.22740 - 2.39260i) q^{63} +(-5.34022 + 5.95668i) q^{64} +(-1.52261 - 0.229497i) q^{65} +(-6.13976 - 3.62394i) q^{66} +(11.4770 + 6.62623i) q^{67} +(11.6476 + 1.98533i) q^{68} +(-4.78003 + 9.92583i) q^{69} +(-1.56409 - 0.375592i) q^{70} +(-13.6050 + 6.55184i) q^{71} +(-2.30208 - 2.62922i) q^{72} +(5.75662 + 5.34136i) q^{73} +(-1.31833 - 0.420572i) q^{74} +(3.60308 - 5.28475i) q^{75} +(-3.60466 - 0.895994i) q^{76} +(-2.21814 - 9.79315i) q^{77} +(-0.0646881 + 6.72818i) q^{78} +(-4.67982 - 8.10569i) q^{79} +(-0.569668 + 1.62251i) q^{80} +(-3.11231 + 2.12194i) q^{81} +(0.858640 + 2.88172i) q^{82} +(-16.5284 - 3.77249i) q^{83} +(-0.671546 + 6.99672i) q^{84} +(2.47610 - 0.565153i) q^{85} +(-4.91170 - 8.69941i) q^{86} +(4.18823 + 1.29190i) q^{87} +(-10.6563 + 1.29312i) q^{88} +(-6.38494 + 1.96949i) q^{89} +(-0.673621 - 0.332415i) q^{90} +(-6.95740 + 6.43408i) q^{91} +(3.37945 + 16.2396i) q^{92} +(-8.89863 - 3.49245i) q^{93} +(1.82366 - 0.695576i) q^{94} +(-0.789489 + 0.118996i) q^{95} +(7.36785 + 1.47568i) q^{96} -11.9331 q^{97} +(-7.81891 + 6.07163i) q^{98} -4.68913i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 13q^{2} - 13q^{4} - 6q^{6} - 24q^{7} - 16q^{8} - 76q^{9} + O(q^{10}) \) \( 648q - 13q^{2} - 13q^{4} - 6q^{6} - 24q^{7} - 16q^{8} - 76q^{9} - 6q^{10} - 47q^{12} - 33q^{14} - 8q^{15} - 17q^{16} - 26q^{17} - 8q^{18} - 22q^{20} - 18q^{22} - 26q^{23} - 74q^{24} - 72q^{25} - 12q^{26} + 2q^{28} - 11q^{30} + 60q^{31} - 13q^{32} - 14q^{33} - 18q^{34} + 8q^{36} - 46q^{38} - 32q^{39} + 32q^{40} - 20q^{41} - 36q^{42} + 38q^{44} - 22q^{46} - 58q^{47} + 28q^{48} - 16q^{49} - 132q^{50} + 18q^{52} - 37q^{54} - 32q^{55} + 96q^{56} - 66q^{57} + 100q^{60} + 28q^{62} - 72q^{63} - 28q^{64} - 36q^{65} - 4q^{66} - 11q^{68} - 36q^{70} + 60q^{71} - 130q^{72} - 18q^{73} - 12q^{74} + 11q^{76} - 132q^{78} - 12q^{79} - 64q^{80} - 58q^{81} + 152q^{82} - 224q^{84} + 55q^{86} - 8q^{87} - 169q^{88} - 18q^{89} + 144q^{90} - 54q^{92} + 154q^{94} - 64q^{95} - 142q^{96} - 96q^{97} + 151q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(297\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{20}{21}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.31143 0.529303i −0.927318 0.374274i
\(3\) 0.197978 + 1.31349i 0.114302 + 0.758347i 0.970395 + 0.241524i \(0.0776473\pi\)
−0.856092 + 0.516823i \(0.827115\pi\)
\(4\) 1.43968 + 1.38828i 0.719839 + 0.694142i
\(5\) 0.400186 + 0.157061i 0.178969 + 0.0702400i 0.453133 0.891443i \(-0.350306\pi\)
−0.274165 + 0.961683i \(0.588401\pi\)
\(6\) 0.435604 1.82734i 0.177834 0.746009i
\(7\) 2.29348 1.31907i 0.866854 0.498563i
\(8\) −1.15321 2.58266i −0.407721 0.913107i
\(9\) 1.18064 0.364181i 0.393548 0.121394i
\(10\) −0.441681 0.417794i −0.139672 0.132118i
\(11\) 1.11866 3.62661i 0.337289 1.09346i −0.615067 0.788475i \(-0.710871\pi\)
0.952356 0.304989i \(-0.0986529\pi\)
\(12\) −1.53848 + 2.16586i −0.444121 + 0.625229i
\(13\) −3.49195 + 0.797016i −0.968494 + 0.221052i −0.677378 0.735635i \(-0.736884\pi\)
−0.291116 + 0.956688i \(0.594027\pi\)
\(14\) −3.70592 + 0.515922i −0.990448 + 0.137886i
\(15\) −0.127072 + 0.556737i −0.0328097 + 0.143749i
\(16\) 0.145340 + 3.99736i 0.0363350 + 0.999340i
\(17\) 4.88123 3.32797i 1.18387 0.807151i 0.198927 0.980014i \(-0.436254\pi\)
0.984946 + 0.172863i \(0.0553019\pi\)
\(18\) −1.74109 0.147323i −0.410379 0.0347242i
\(19\) −1.60836 + 0.928587i −0.368983 + 0.213033i −0.673014 0.739630i \(-0.735001\pi\)
0.304031 + 0.952662i \(0.401667\pi\)
\(20\) 0.358093 + 0.781689i 0.0800720 + 0.174791i
\(21\) 2.18665 + 2.75133i 0.477167 + 0.600389i
\(22\) −3.38662 + 4.16392i −0.722029 + 0.887751i
\(23\) 6.85261 + 4.67203i 1.42887 + 0.974186i 0.997400 + 0.0720579i \(0.0229566\pi\)
0.431468 + 0.902128i \(0.357996\pi\)
\(24\) 3.16400 2.02604i 0.645848 0.413564i
\(25\) −3.52978 3.27516i −0.705956 0.655031i
\(26\) 5.00130 + 0.803074i 0.980836 + 0.157496i
\(27\) 2.44111 + 5.06903i 0.469793 + 0.975535i
\(28\) 5.13312 + 1.28496i 0.970068 + 0.242834i
\(29\) 1.43164 2.97283i 0.265849 0.552041i −0.724722 0.689041i \(-0.758032\pi\)
0.990571 + 0.137000i \(0.0437462\pi\)
\(30\) 0.461328 0.662860i 0.0842265 0.121021i
\(31\) −3.59829 + 6.23242i −0.646272 + 1.11938i 0.337735 + 0.941241i \(0.390339\pi\)
−0.984006 + 0.178134i \(0.942994\pi\)
\(32\) 1.92521 5.31917i 0.340332 0.940305i
\(33\) 4.98500 + 0.751369i 0.867778 + 0.130796i
\(34\) −8.16288 + 1.78073i −1.39992 + 0.305393i
\(35\) 1.12499 0.167657i 0.190159 0.0283393i
\(36\) 2.20533 + 1.11477i 0.367555 + 0.185794i
\(37\) 0.975748 0.0731222i 0.160412 0.0120212i 0.00571805 0.999984i \(-0.498180\pi\)
0.154694 + 0.987962i \(0.450561\pi\)
\(38\) 2.60075 0.366464i 0.421897 0.0594483i
\(39\) −1.73820 4.42887i −0.278336 0.709187i
\(40\) −0.0558621 1.21467i −0.00883257 0.192056i
\(41\) −1.32567 1.66234i −0.207035 0.259614i 0.667463 0.744643i \(-0.267380\pi\)
−0.874498 + 0.485029i \(0.838809\pi\)
\(42\) −1.41135 4.76556i −0.217776 0.735342i
\(43\) 5.52298 + 4.40443i 0.842246 + 0.671669i 0.946437 0.322889i \(-0.104654\pi\)
−0.104191 + 0.994557i \(0.533225\pi\)
\(44\) 6.64527 3.66813i 1.00181 0.552991i
\(45\) 0.529676 + 0.0396937i 0.0789595 + 0.00591719i
\(46\) −6.51378 9.75413i −0.960404 1.43817i
\(47\) −1.01171 + 0.938733i −0.147574 + 0.136928i −0.750505 0.660865i \(-0.770190\pi\)
0.602931 + 0.797793i \(0.293999\pi\)
\(48\) −5.22174 + 0.982291i −0.753693 + 0.141781i
\(49\) 3.52009 6.05053i 0.502870 0.864362i
\(50\) 2.89549 + 6.16345i 0.409485 + 0.871643i
\(51\) 5.33764 + 5.75261i 0.747420 + 0.805527i
\(52\) −6.13377 3.70038i −0.850601 0.513150i
\(53\) −2.59340 0.194349i −0.356231 0.0266958i −0.104587 0.994516i \(-0.533352\pi\)
−0.251644 + 0.967820i \(0.580971\pi\)
\(54\) −0.518291 7.93974i −0.0705305 1.08046i
\(55\) 1.01727 1.27562i 0.137169 0.172005i
\(56\) −6.05157 4.40210i −0.808675 0.588256i
\(57\) −1.53811 1.92873i −0.203728 0.255467i
\(58\) −3.45102 + 3.14088i −0.453141 + 0.412417i
\(59\) 9.74555 3.82485i 1.26876 0.497953i 0.367015 0.930215i \(-0.380380\pi\)
0.901748 + 0.432263i \(0.142285\pi\)
\(60\) −0.955851 + 0.625110i −0.123400 + 0.0807014i
\(61\) −9.85193 + 0.738300i −1.26141 + 0.0945297i −0.688590 0.725151i \(-0.741770\pi\)
−0.572821 + 0.819681i \(0.694151\pi\)
\(62\) 8.01773 6.26877i 1.01825 0.796135i
\(63\) 2.22740 2.39260i 0.280626 0.301439i
\(64\) −5.34022 + 5.95668i −0.667528 + 0.744585i
\(65\) −1.52261 0.229497i −0.188857 0.0284656i
\(66\) −6.13976 3.62394i −0.755753 0.446076i
\(67\) 11.4770 + 6.62623i 1.40214 + 0.809523i 0.994612 0.103671i \(-0.0330589\pi\)
0.407524 + 0.913194i \(0.366392\pi\)
\(68\) 11.6476 + 1.98533i 1.41247 + 0.240757i
\(69\) −4.78003 + 9.92583i −0.575448 + 1.19493i
\(70\) −1.56409 0.375592i −0.186944 0.0448918i
\(71\) −13.6050 + 6.55184i −1.61462 + 0.777560i −0.999937 0.0112133i \(-0.996431\pi\)
−0.614684 + 0.788774i \(0.710716\pi\)
\(72\) −2.30208 2.62922i −0.271303 0.309857i
\(73\) 5.75662 + 5.34136i 0.673761 + 0.625159i 0.940974 0.338478i \(-0.109912\pi\)
−0.267213 + 0.963638i \(0.586103\pi\)
\(74\) −1.31833 0.420572i −0.153252 0.0488905i
\(75\) 3.60308 5.28475i 0.416048 0.610231i
\(76\) −3.60466 0.895994i −0.413483 0.102778i
\(77\) −2.21814 9.79315i −0.252780 1.11603i
\(78\) −0.0646881 + 6.72818i −0.00732448 + 0.761816i
\(79\) −4.67982 8.10569i −0.526521 0.911962i −0.999522 0.0308999i \(-0.990163\pi\)
0.473001 0.881062i \(-0.343171\pi\)
\(80\) −0.569668 + 1.62251i −0.0636908 + 0.181403i
\(81\) −3.11231 + 2.12194i −0.345812 + 0.235771i
\(82\) 0.858640 + 2.88172i 0.0948209 + 0.318233i
\(83\) −16.5284 3.77249i −1.81422 0.414085i −0.825570 0.564300i \(-0.809146\pi\)
−0.988653 + 0.150215i \(0.952003\pi\)
\(84\) −0.671546 + 6.99672i −0.0732717 + 0.763404i
\(85\) 2.47610 0.565153i 0.268570 0.0612995i
\(86\) −4.91170 8.69941i −0.529642 0.938081i
\(87\) 4.18823 + 1.29190i 0.449025 + 0.138506i
\(88\) −10.6563 + 1.29312i −1.13597 + 0.137847i
\(89\) −6.38494 + 1.96949i −0.676802 + 0.208766i −0.614055 0.789264i \(-0.710463\pi\)
−0.0627476 + 0.998029i \(0.519986\pi\)
\(90\) −0.673621 0.332415i −0.0710059 0.0350396i
\(91\) −6.95740 + 6.43408i −0.729334 + 0.674475i
\(92\) 3.37945 + 16.2396i 0.352332 + 1.69309i
\(93\) −8.89863 3.49245i −0.922745 0.362151i
\(94\) 1.82366 0.695576i 0.188096 0.0717432i
\(95\) −0.789489 + 0.118996i −0.0809999 + 0.0122088i
\(96\) 7.36785 + 1.47568i 0.751978 + 0.150611i
\(97\) −11.9331 −1.21162 −0.605811 0.795608i \(-0.707151\pi\)
−0.605811 + 0.795608i \(0.707151\pi\)
\(98\) −7.81891 + 6.07163i −0.789829 + 0.613327i
\(99\) 4.68913i 0.471276i
\(100\) −0.534898 9.61550i −0.0534898 0.961550i
\(101\) 1.50915 + 10.0126i 0.150167 + 0.996290i 0.929272 + 0.369397i \(0.120436\pi\)
−0.779105 + 0.626893i \(0.784326\pi\)
\(102\) −3.95505 10.3694i −0.391609 1.02672i
\(103\) −1.75717 + 4.47721i −0.173139 + 0.441152i −0.990933 0.134360i \(-0.957102\pi\)
0.817793 + 0.575512i \(0.195197\pi\)
\(104\) 6.08537 + 8.09939i 0.596719 + 0.794211i
\(105\) 0.442941 + 1.44448i 0.0432266 + 0.140967i
\(106\) 3.29819 + 1.62757i 0.320348 + 0.158083i
\(107\) 1.01911 + 3.30387i 0.0985210 + 0.319397i 0.991394 0.130911i \(-0.0417903\pi\)
−0.892873 + 0.450308i \(0.851314\pi\)
\(108\) −3.52283 + 10.6867i −0.338984 + 1.02833i
\(109\) 2.62257 8.50215i 0.251196 0.814358i −0.738881 0.673836i \(-0.764646\pi\)
0.990077 0.140522i \(-0.0448782\pi\)
\(110\) −2.00927 + 1.13444i −0.191576 + 0.108164i
\(111\) 0.289222 + 1.26716i 0.0274517 + 0.120274i
\(112\) 5.60614 + 8.97614i 0.529731 + 0.848166i
\(113\) −0.499667 + 2.18918i −0.0470047 + 0.205941i −0.992977 0.118306i \(-0.962254\pi\)
0.945973 + 0.324247i \(0.105111\pi\)
\(114\) 0.996239 + 3.34352i 0.0933063 + 0.313149i
\(115\) 2.00852 + 2.94596i 0.187296 + 0.274713i
\(116\) 6.18823 2.29239i 0.574563 0.212843i
\(117\) −3.83250 + 2.21269i −0.354315 + 0.204564i
\(118\) −14.8051 0.142343i −1.36292 0.0131038i
\(119\) 6.80517 14.0713i 0.623829 1.28992i
\(120\) 1.58440 0.313851i 0.144635 0.0286506i
\(121\) −2.81228 1.91738i −0.255661 0.174307i
\(122\) 13.3109 + 4.24643i 1.20511 + 0.384454i
\(123\) 1.92102 2.07037i 0.173213 0.186679i
\(124\) −13.8327 + 3.97723i −1.24222 + 0.357165i
\(125\) −1.83081 3.80171i −0.163753 0.340036i
\(126\) −4.18748 + 1.95874i −0.373051 + 0.174499i
\(127\) 3.99994 + 1.92627i 0.354937 + 0.170929i 0.602852 0.797853i \(-0.294031\pi\)
−0.247915 + 0.968782i \(0.579745\pi\)
\(128\) 10.1562 4.98515i 0.897689 0.440629i
\(129\) −4.69177 + 8.12638i −0.413087 + 0.715488i
\(130\) 1.87532 + 1.10689i 0.164476 + 0.0970808i
\(131\) 1.58508 10.5163i 0.138489 0.918817i −0.806387 0.591388i \(-0.798580\pi\)
0.944876 0.327428i \(-0.106182\pi\)
\(132\) 6.13368 + 8.00233i 0.533869 + 0.696513i
\(133\) −2.46387 + 4.25124i −0.213644 + 0.368629i
\(134\) −11.5439 14.7646i −0.997243 1.27547i
\(135\) 0.180751 + 2.41196i 0.0155566 + 0.207588i
\(136\) −14.2241 8.76871i −1.21970 0.751910i
\(137\) −5.92813 15.1046i −0.506474 1.29048i −0.924202 0.381903i \(-0.875269\pi\)
0.417728 0.908572i \(-0.362827\pi\)
\(138\) 11.5224 10.4869i 0.980854 0.892705i
\(139\) −4.59929 + 3.66781i −0.390106 + 0.311100i −0.798828 0.601560i \(-0.794546\pi\)
0.408721 + 0.912659i \(0.365975\pi\)
\(140\) 1.85238 + 1.32044i 0.156555 + 0.111597i
\(141\) −1.43332 1.14303i −0.120707 0.0962607i
\(142\) 21.3099 1.39107i 1.78829 0.116736i
\(143\) −1.01585 + 13.5556i −0.0849495 + 1.13357i
\(144\) 1.62736 + 4.66653i 0.135613 + 0.388877i
\(145\) 1.03984 0.964830i 0.0863540 0.0801248i
\(146\) −4.72218 10.0518i −0.390811 0.831893i
\(147\) 8.64424 + 3.42575i 0.712965 + 0.282552i
\(148\) 1.50628 + 1.24934i 0.123815 + 0.102695i
\(149\) −16.3671 17.6396i −1.34085 1.44509i −0.794095 0.607794i \(-0.792055\pi\)
−0.546752 0.837295i \(-0.684136\pi\)
\(150\) −7.52241 + 5.02344i −0.614203 + 0.410162i
\(151\) −0.0116411 + 0.155339i −0.000947337 + 0.0126413i −0.997657 0.0684079i \(-0.978208\pi\)
0.996710 + 0.0810493i \(0.0258271\pi\)
\(152\) 4.25300 + 3.08299i 0.344964 + 0.250063i
\(153\) 4.55102 5.70680i 0.367928 0.461367i
\(154\) −2.27462 + 14.0171i −0.183294 + 1.12953i
\(155\) −2.41886 + 1.92897i −0.194287 + 0.154939i
\(156\) 3.64608 8.78927i 0.291920 0.703705i
\(157\) 0.336258 0.131972i 0.0268363 0.0105325i −0.351885 0.936043i \(-0.614459\pi\)
0.378721 + 0.925511i \(0.376364\pi\)
\(158\) 1.84688 + 13.1071i 0.146930 + 1.04274i
\(159\) −0.258159 3.44490i −0.0204734 0.273198i
\(160\) 1.60588 1.82628i 0.126956 0.144380i
\(161\) 21.8791 + 1.67611i 1.72431 + 0.132096i
\(162\) 5.20472 1.13541i 0.408921 0.0892062i
\(163\) 1.35487 8.98897i 0.106122 0.704070i −0.870983 0.491312i \(-0.836517\pi\)
0.977105 0.212758i \(-0.0682445\pi\)
\(164\) 0.399259 4.23364i 0.0311769 0.330592i
\(165\) 1.87692 + 1.08364i 0.146118 + 0.0843612i
\(166\) 19.6789 + 13.6959i 1.52738 + 1.06300i
\(167\) 8.96244 + 4.31608i 0.693534 + 0.333989i 0.747227 0.664569i \(-0.231385\pi\)
−0.0536926 + 0.998558i \(0.517099\pi\)
\(168\) 4.58406 8.82022i 0.353668 0.680495i
\(169\) −0.154081 + 0.0742013i −0.0118524 + 0.00570779i
\(170\) −3.54636 0.569449i −0.271993 0.0436747i
\(171\) −1.56073 + 1.68207i −0.119352 + 0.128631i
\(172\) 1.83671 + 14.0084i 0.140048 + 1.06813i
\(173\) 4.64545 6.81362i 0.353187 0.518030i −0.607997 0.793939i \(-0.708027\pi\)
0.961184 + 0.275910i \(0.0889791\pi\)
\(174\) −4.80875 3.91107i −0.364550 0.296498i
\(175\) −12.4156 2.85547i −0.938534 0.215853i
\(176\) 14.6595 + 3.94460i 1.10500 + 0.297335i
\(177\) 6.95332 + 12.0435i 0.522643 + 0.905245i
\(178\) 9.41583 + 0.796722i 0.705747 + 0.0597168i
\(179\) −3.65409 5.35956i −0.273119 0.400593i 0.665034 0.746813i \(-0.268417\pi\)
−0.938153 + 0.346221i \(0.887465\pi\)
\(180\) 0.707457 + 0.792487i 0.0527307 + 0.0590685i
\(181\) 18.8643 + 4.30565i 1.40217 + 0.320037i 0.855714 0.517450i \(-0.173118\pi\)
0.546458 + 0.837486i \(0.315976\pi\)
\(182\) 12.5297 4.75525i 0.928763 0.352483i
\(183\) −2.92021 12.7943i −0.215868 0.945782i
\(184\) 4.16376 23.0858i 0.306957 1.70191i
\(185\) 0.401966 + 0.123990i 0.0295531 + 0.00911593i
\(186\) 9.82133 + 9.29017i 0.720135 + 0.681188i
\(187\) −6.60880 21.4252i −0.483283 1.56677i
\(188\) −2.75977 0.0530725i −0.201277 0.00387071i
\(189\) 12.2851 + 8.40570i 0.893607 + 0.611425i
\(190\) 1.09834 + 0.261824i 0.0796821 + 0.0189947i
\(191\) −1.04490 + 2.66235i −0.0756060 + 0.192641i −0.963680 0.267059i \(-0.913948\pi\)
0.888074 + 0.459700i \(0.152043\pi\)
\(192\) −8.88131 5.83507i −0.640953 0.421110i
\(193\) −10.4825 + 1.57999i −0.754549 + 0.113730i −0.515042 0.857165i \(-0.672224\pi\)
−0.239506 + 0.970895i \(0.576986\pi\)
\(194\) 15.6494 + 6.31622i 1.12356 + 0.453478i
\(195\) 2.04538i 0.146473i
\(196\) 13.4676 3.82393i 0.961975 0.273138i
\(197\) 16.2224i 1.15580i −0.816109 0.577898i \(-0.803873\pi\)
0.816109 0.577898i \(-0.196127\pi\)
\(198\) −2.48197 + 6.14945i −0.176386 + 0.437022i
\(199\) 1.21310 0.182846i 0.0859945 0.0129616i −0.105904 0.994376i \(-0.533774\pi\)
0.191899 + 0.981415i \(0.438536\pi\)
\(200\) −4.38803 + 12.8931i −0.310281 + 0.911683i
\(201\) −6.43134 + 16.3868i −0.453632 + 1.15584i
\(202\) 3.32055 13.9296i 0.233633 0.980081i
\(203\) −0.637945 8.70656i −0.0447749 0.611081i
\(204\) −0.301771 + 15.6921i −0.0211282 + 1.09866i
\(205\) −0.269426 0.873458i −0.0188175 0.0610049i
\(206\) 4.67420 4.94145i 0.325667 0.344287i
\(207\) 9.79196 + 3.02042i 0.680588 + 0.209934i
\(208\) −3.69348 13.8428i −0.256097 0.959823i
\(209\) 1.56841 + 6.87167i 0.108489 + 0.475324i
\(210\) 0.183684 2.12878i 0.0126754 0.146900i
\(211\) −15.4744 3.53194i −1.06530 0.243149i −0.346278 0.938132i \(-0.612555\pi\)
−0.719026 + 0.694983i \(0.755412\pi\)
\(212\) −3.46385 3.88018i −0.237898 0.266492i
\(213\) −11.2993 16.5730i −0.774215 1.13557i
\(214\) 0.412261 4.87220i 0.0281816 0.333057i
\(215\) 1.51845 + 2.63004i 0.103558 + 0.179367i
\(216\) 10.2764 12.1502i 0.699223 0.826716i
\(217\) −0.0315847 + 19.0403i −0.00214411 + 1.29254i
\(218\) −7.93951 + 9.76181i −0.537732 + 0.661153i
\(219\) −5.87617 + 8.61876i −0.397075 + 0.582402i
\(220\) 3.23547 0.424218i 0.218135 0.0286008i
\(221\) −14.3926 + 15.5115i −0.968151 + 1.04342i
\(222\) 0.291420 1.81488i 0.0195589 0.121807i
\(223\) −13.9259 + 6.70638i −0.932550 + 0.449093i −0.837535 0.546383i \(-0.816004\pi\)
−0.0950150 + 0.995476i \(0.530290\pi\)
\(224\) −2.60094 14.7389i −0.173783 0.984784i
\(225\) −5.36016 2.58132i −0.357344 0.172088i
\(226\) 1.81402 2.60648i 0.120667 0.173380i
\(227\) 19.5630 + 11.2947i 1.29845 + 0.749658i 0.980135 0.198329i \(-0.0635515\pi\)
0.318310 + 0.947987i \(0.396885\pi\)
\(228\) 0.463241 4.91209i 0.0306789 0.325311i
\(229\) −1.52548 + 10.1209i −0.100806 + 0.668806i 0.880167 + 0.474664i \(0.157430\pi\)
−0.980973 + 0.194142i \(0.937808\pi\)
\(230\) −1.07472 4.92653i −0.0708652 0.324846i
\(231\) 12.4241 4.85234i 0.817447 0.319260i
\(232\) −9.32878 0.269141i −0.612464 0.0176700i
\(233\) 0.802002 + 10.7020i 0.0525409 + 0.701109i 0.959826 + 0.280594i \(0.0905315\pi\)
−0.907286 + 0.420515i \(0.861849\pi\)
\(234\) 6.19723 0.873233i 0.405125 0.0570850i
\(235\) −0.552312 + 0.216767i −0.0360289 + 0.0141403i
\(236\) 19.3404 + 8.02304i 1.25895 + 0.522255i
\(237\) 9.72029 7.75167i 0.631401 0.503525i
\(238\) −16.3725 + 14.8515i −1.06127 + 0.962681i
\(239\) −15.2056 + 19.0672i −0.983567 + 1.23335i −0.0111906 + 0.999937i \(0.503562\pi\)
−0.972377 + 0.233417i \(0.925009\pi\)
\(240\) −2.24395 0.427035i −0.144846 0.0275650i
\(241\) 1.78596 23.8320i 0.115044 1.53515i −0.579063 0.815283i \(-0.696582\pi\)
0.694107 0.719872i \(-0.255799\pi\)
\(242\) 2.67322 + 4.00304i 0.171841 + 0.257325i
\(243\) 8.07703 + 8.70497i 0.518142 + 0.558424i
\(244\) −15.2086 12.6144i −0.973629 0.807551i
\(245\) 2.35900 1.86847i 0.150711 0.119372i
\(246\) −3.61513 + 1.69833i −0.230492 + 0.108282i
\(247\) 4.87622 4.52447i 0.310267 0.287885i
\(248\) 20.2458 + 2.10587i 1.28561 + 0.133723i
\(249\) 1.68290 22.4568i 0.106650 1.42314i
\(250\) 0.388713 + 5.95472i 0.0245844 + 0.376609i
\(251\) 0.752680 + 0.600242i 0.0475088 + 0.0378870i 0.646956 0.762527i \(-0.276042\pi\)
−0.599448 + 0.800414i \(0.704613\pi\)
\(252\) 6.52834 0.352301i 0.411247 0.0221929i
\(253\) 24.6094 19.6253i 1.54718 1.23383i
\(254\) −4.22604 4.64334i −0.265165 0.291349i
\(255\) 1.23254 + 3.14045i 0.0771845 + 0.196663i
\(256\) −15.9578 + 1.16195i −0.997360 + 0.0726220i
\(257\) 0.316145 + 4.21866i 0.0197206 + 0.263153i 0.998346 + 0.0574998i \(0.0183128\pi\)
−0.978625 + 0.205653i \(0.934068\pi\)
\(258\) 10.4542 8.17378i 0.650851 0.508877i
\(259\) 2.14141 1.45479i 0.133060 0.0903961i
\(260\) −1.87346 2.44422i −0.116187 0.151584i
\(261\) 0.607610 4.03123i 0.0376101 0.249527i
\(262\) −7.64504 + 12.9524i −0.472312 + 0.800203i
\(263\) 1.91887 3.32358i 0.118323 0.204941i −0.800780 0.598958i \(-0.795582\pi\)
0.919103 + 0.394017i \(0.128915\pi\)
\(264\) −3.80822 13.7410i −0.234380 0.845702i
\(265\) −1.00732 0.485099i −0.0618791 0.0297994i
\(266\) 5.48137 4.27106i 0.336085 0.261875i
\(267\) −3.85099 7.99667i −0.235677 0.489388i
\(268\) 7.32405 + 25.4729i 0.447387 + 1.55601i
\(269\) −20.7734 + 22.3884i −1.26658 + 1.36505i −0.365844 + 0.930676i \(0.619220\pi\)
−0.900734 + 0.434371i \(0.856971\pi\)
\(270\) 1.03961 3.25878i 0.0632689 0.198323i
\(271\) −3.21434 2.19150i −0.195257 0.133124i 0.461745 0.887013i \(-0.347223\pi\)
−0.657002 + 0.753889i \(0.728176\pi\)
\(272\) 14.0125 + 19.0284i 0.849634 + 1.15376i
\(273\) −9.82854 7.86471i −0.594851 0.475994i
\(274\) −0.220618 + 22.9464i −0.0133280 + 1.38624i
\(275\) −15.8263 + 9.13734i −0.954364 + 0.551003i
\(276\) −20.6616 + 7.65396i −1.24368 + 0.460714i
\(277\) 13.0300 + 19.1115i 0.782895 + 1.14830i 0.985606 + 0.169057i \(0.0540723\pi\)
−0.202711 + 0.979239i \(0.564975\pi\)
\(278\) 7.97301 2.37565i 0.478189 0.142482i
\(279\) −1.97857 + 8.66870i −0.118454 + 0.518981i
\(280\) −1.73035 2.71213i −0.103408 0.162081i
\(281\) −0.373388 1.63592i −0.0222745 0.0975908i 0.962569 0.271037i \(-0.0873667\pi\)
−0.984843 + 0.173447i \(0.944510\pi\)
\(282\) 1.27468 + 2.25766i 0.0759061 + 0.134442i
\(283\) −5.25221 + 17.0273i −0.312212 + 1.01217i 0.654449 + 0.756106i \(0.272901\pi\)
−0.966661 + 0.256060i \(0.917576\pi\)
\(284\) −28.6827 9.45511i −1.70200 0.561057i
\(285\) −0.312602 1.01343i −0.0185170 0.0600305i
\(286\) 8.50720 17.2394i 0.503041 1.01939i
\(287\) −5.23315 2.06388i −0.308903 0.121827i
\(288\) 0.335851 6.98117i 0.0197902 0.411370i
\(289\) 6.54027 16.6643i 0.384722 0.980255i
\(290\) −1.87436 + 0.714913i −0.110066 + 0.0419812i
\(291\) −2.36248 15.6741i −0.138491 0.918830i
\(292\) 0.872350 + 15.6817i 0.0510504 + 0.917700i
\(293\) 16.1698i 0.944650i 0.881425 + 0.472325i \(0.156585\pi\)
−0.881425 + 0.472325i \(0.843415\pi\)
\(294\) −9.52303 9.06805i −0.555394 0.528859i
\(295\) 4.50077 0.262045
\(296\) −1.31409 2.43570i −0.0763800 0.141572i
\(297\) 21.1142 3.18245i 1.22517 0.184664i
\(298\) 12.1276 + 31.7961i 0.702533 + 1.84190i
\(299\) −27.6527 10.8529i −1.59920 0.627639i
\(300\) 12.5240 2.60624i 0.723074 0.150471i
\(301\) 18.4766 + 2.81625i 1.06497 + 0.162326i
\(302\) 0.0974879 0.197554i 0.00560980 0.0113680i
\(303\) −12.8527 + 3.96453i −0.738369 + 0.227757i
\(304\) −3.94566 6.29423i −0.226299 0.360999i
\(305\) −4.05857 1.25190i −0.232393 0.0716837i
\(306\) −8.98895 + 5.07518i −0.513864 + 0.290129i
\(307\) −22.1477 + 5.05506i −1.26403 + 0.288507i −0.801447 0.598066i \(-0.795936\pi\)
−0.462587 + 0.886574i \(0.653079\pi\)
\(308\) 10.4023 17.1784i 0.592724 0.978829i
\(309\) −6.22867 1.42165i −0.354337 0.0808750i
\(310\) 4.19316 1.24940i 0.238156 0.0709611i
\(311\) 17.9489 12.2373i 1.01779 0.693915i 0.0651028 0.997879i \(-0.479262\pi\)
0.952684 + 0.303963i \(0.0983101\pi\)
\(312\) −9.43375 + 9.59660i −0.534081 + 0.543300i
\(313\) 4.16084 + 7.20678i 0.235185 + 0.407352i 0.959326 0.282300i \(-0.0910972\pi\)
−0.724142 + 0.689651i \(0.757764\pi\)
\(314\) −0.510831 0.00491139i −0.0288279 0.000277166i
\(315\) 1.26716 0.607645i 0.0713964 0.0342369i
\(316\) 4.51556 18.1665i 0.254020 1.02195i
\(317\) 1.15606 1.69563i 0.0649308 0.0952359i −0.792400 0.610002i \(-0.791169\pi\)
0.857331 + 0.514766i \(0.172121\pi\)
\(318\) −1.48484 + 4.65437i −0.0832655 + 0.261004i
\(319\) −9.17978 8.51759i −0.513969 0.476893i
\(320\) −3.07265 + 1.54504i −0.171766 + 0.0863702i
\(321\) −4.13785 + 1.99269i −0.230953 + 0.111221i
\(322\) −27.8056 13.7788i −1.54955 0.767860i
\(323\) −4.76047 + 9.88523i −0.264880 + 0.550029i
\(324\) −7.42658 1.26586i −0.412588 0.0703258i
\(325\) 14.9362 + 8.62341i 0.828510 + 0.478341i
\(326\) −6.53470 + 11.0712i −0.361923 + 0.613179i
\(327\) 11.6867 + 1.76149i 0.646278 + 0.0974107i
\(328\) −2.76448 + 5.34078i −0.152643 + 0.294895i
\(329\) −1.08209 + 3.48749i −0.0596573 + 0.192271i
\(330\) −1.88787 2.41457i −0.103924 0.132918i
\(331\) −20.5534 + 1.54027i −1.12972 + 0.0846606i −0.626444 0.779466i \(-0.715490\pi\)
−0.503274 + 0.864127i \(0.667871\pi\)
\(332\) −18.5582 28.3772i −1.01851 1.55740i
\(333\) 1.12538 0.441680i 0.0616706 0.0242039i
\(334\) −9.46906 10.4041i −0.518124 0.569285i
\(335\) 3.55220 + 4.45432i 0.194077 + 0.243365i
\(336\) −10.6802 + 9.14071i −0.582654 + 0.498667i
\(337\) −7.66886 + 9.61644i −0.417749 + 0.523841i −0.945528 0.325541i \(-0.894454\pi\)
0.527779 + 0.849382i \(0.323025\pi\)
\(338\) 0.241340 0.0157542i 0.0131272 0.000856918i
\(339\) −2.97440 0.222901i −0.161547 0.0121063i
\(340\) 4.34937 + 2.62389i 0.235878 + 0.142300i
\(341\) 18.5773 + 20.0216i 1.00602 + 1.08423i
\(342\) 2.93710 1.37981i 0.158820 0.0746114i
\(343\) 0.0921656 18.5200i 0.00497647 0.999988i
\(344\) 5.00598 19.3432i 0.269904 1.04291i
\(345\) −3.47187 + 3.22142i −0.186919 + 0.173435i
\(346\) −9.69862 + 6.47671i −0.521401 + 0.348190i
\(347\) 25.2991 + 1.89591i 1.35813 + 0.101778i 0.733790 0.679377i \(-0.237750\pi\)
0.624338 + 0.781154i \(0.285369\pi\)
\(348\) 4.23618 + 7.67437i 0.227083 + 0.411389i
\(349\) 17.5051 + 13.9598i 0.937025 + 0.747252i 0.967655 0.252278i \(-0.0811799\pi\)
−0.0306299 + 0.999531i \(0.509751\pi\)
\(350\) 14.7708 + 10.3164i 0.789532 + 0.551433i
\(351\) −12.5644 15.7552i −0.670636 0.840951i
\(352\) −17.1369 12.9323i −0.913400 0.689296i
\(353\) 1.25126 + 3.18816i 0.0665980 + 0.169689i 0.960298 0.278976i \(-0.0899950\pi\)
−0.893700 + 0.448665i \(0.851900\pi\)
\(354\) −2.74410 19.4746i −0.145847 1.03506i
\(355\) −6.47359 + 0.485128i −0.343582 + 0.0257479i
\(356\) −11.9265 6.02867i −0.632101 0.319519i
\(357\) 19.8299 + 6.15275i 1.04951 + 0.325638i
\(358\) 1.95524 + 8.96279i 0.103337 + 0.473698i
\(359\) −1.84365 0.277886i −0.0973042 0.0146662i 0.100210 0.994966i \(-0.468049\pi\)
−0.197514 + 0.980300i \(0.563287\pi\)
\(360\) −0.508312 1.41375i −0.0267904 0.0745110i
\(361\) −7.77545 + 13.4675i −0.409234 + 0.708815i
\(362\) −22.4601 15.6315i −1.18048 0.821572i
\(363\) 1.96170 4.07351i 0.102962 0.213804i
\(364\) −18.9487 0.395844i −0.993184 0.0207479i
\(365\) 1.46480 + 3.04168i 0.0766710 + 0.159209i
\(366\) −2.94241 + 18.3245i −0.153802 + 0.957835i
\(367\) −9.72942 9.02758i −0.507871 0.471236i 0.384123 0.923282i \(-0.374504\pi\)
−0.891995 + 0.452046i \(0.850694\pi\)
\(368\) −17.6798 + 28.0714i −0.921625 + 1.46332i
\(369\) −2.17054 1.47985i −0.112994 0.0770379i
\(370\) −0.461520 0.375365i −0.0239933 0.0195143i
\(371\) −6.20427 + 2.97515i −0.322110 + 0.154462i
\(372\) −7.96264 17.3818i −0.412843 0.901206i
\(373\) −8.05133 + 4.64844i −0.416882 + 0.240687i −0.693742 0.720223i \(-0.744039\pi\)
0.276860 + 0.960910i \(0.410706\pi\)
\(374\) −2.67347 + 31.5956i −0.138242 + 1.63377i
\(375\) 4.63107 3.15741i 0.239148 0.163048i
\(376\) 3.59114 + 1.53035i 0.185199 + 0.0789219i
\(377\) −2.62983 + 11.5220i −0.135443 + 0.593415i
\(378\) −11.6618 17.5260i −0.599818 0.901439i
\(379\) 3.43812 0.784728i 0.176604 0.0403087i −0.133304 0.991075i \(-0.542559\pi\)
0.309908 + 0.950766i \(0.399702\pi\)
\(380\) −1.30181 0.924718i −0.0667814 0.0474370i
\(381\) −1.73825 + 5.63525i −0.0890530 + 0.288703i
\(382\) 2.77949 2.93841i 0.142211 0.150342i
\(383\) −14.4957 + 4.47133i −0.740696 + 0.228474i −0.642066 0.766650i \(-0.721922\pi\)
−0.0986303 + 0.995124i \(0.531446\pi\)
\(384\) 8.55867 + 12.3532i 0.436758 + 0.630395i
\(385\) 0.650459 4.26747i 0.0331505 0.217490i
\(386\) 14.5833 + 3.47639i 0.742273 + 0.176944i
\(387\) 8.12468 + 3.18870i 0.413001 + 0.162091i
\(388\) −17.1798 16.5665i −0.872172 0.841037i
\(389\) −2.70183 17.9255i −0.136988 0.908858i −0.946720 0.322058i \(-0.895625\pi\)
0.809732 0.586800i \(-0.199613\pi\)
\(390\) −1.08262 + 2.68236i −0.0548208 + 0.135827i
\(391\) 48.9976 2.47791
\(392\) −19.6858 2.11367i −0.994285 0.106756i
\(393\) 14.1270 0.712611
\(394\) −8.58654 + 21.2744i −0.432584 + 1.07179i
\(395\) −0.599709 3.97881i −0.0301746 0.200195i
\(396\) 6.50984 6.75084i 0.327132 0.339242i
\(397\) 3.01373 + 1.18280i 0.151255 + 0.0593632i 0.439761 0.898115i \(-0.355063\pi\)
−0.288506 + 0.957478i \(0.593158\pi\)
\(398\) −1.68767 0.402309i −0.0845954 0.0201660i
\(399\) −6.07177 2.39463i −0.303969 0.119881i
\(400\) 12.5790 14.5858i 0.628948 0.729290i
\(401\) −12.1303 + 3.74170i −0.605758 + 0.186852i −0.582436 0.812876i \(-0.697900\pi\)
−0.0233220 + 0.999728i \(0.507424\pi\)
\(402\) 17.1078 18.0859i 0.853260 0.902045i
\(403\) 7.59772 24.6312i 0.378470 1.22697i
\(404\) −11.7276 + 16.5100i −0.583470 + 0.821404i
\(405\) −1.57878 + 0.360346i −0.0784502 + 0.0179057i
\(406\) −3.77179 + 11.7557i −0.187191 + 0.583425i
\(407\) 0.826346 3.62046i 0.0409605 0.179459i
\(408\) 8.70160 20.4193i 0.430794 1.01090i
\(409\) 13.9418 9.50537i 0.689378 0.470010i −0.167270 0.985911i \(-0.553495\pi\)
0.856648 + 0.515901i \(0.172543\pi\)
\(410\) −0.108991 + 1.28808i −0.00538270 + 0.0636139i
\(411\) 18.6662 10.7769i 0.920737 0.531588i
\(412\) −8.74539 + 4.00628i −0.430855 + 0.197375i
\(413\) 17.3060 21.6273i 0.851571 1.06421i
\(414\) −11.2427 9.14397i −0.552550 0.449402i
\(415\) −6.02191 4.10567i −0.295604 0.201539i
\(416\) −2.48329 + 20.1087i −0.121753 + 0.985911i
\(417\) −5.72820 5.31500i −0.280511 0.260277i
\(418\) 1.58034 9.84186i 0.0772968 0.481381i
\(419\) −9.30669 19.3256i −0.454662 0.944115i −0.994733 0.102496i \(-0.967317\pi\)
0.540072 0.841619i \(-0.318397\pi\)
\(420\) −1.36766 + 2.69451i −0.0667349 + 0.131479i
\(421\) 6.37277 13.2332i 0.310590 0.644946i −0.685987 0.727613i \(-0.740630\pi\)
0.996577 + 0.0826670i \(0.0263438\pi\)
\(422\) 18.4241 + 12.8225i 0.896872 + 0.624192i
\(423\) −0.852605 + 1.47676i −0.0414551 + 0.0718023i
\(424\) 2.48880 + 6.92199i 0.120867 + 0.336162i
\(425\) −28.1293 4.23981i −1.36447 0.205661i
\(426\) 6.04605 + 27.7151i 0.292932 + 1.34280i
\(427\) −21.6213 + 14.6887i −1.04633 + 0.710836i
\(428\) −3.11952 + 6.17132i −0.150788 + 0.298302i
\(429\) −18.0063 + 1.34938i −0.869351 + 0.0651488i
\(430\) −0.599252 4.25282i −0.0288985 0.205089i
\(431\) 1.45018 + 3.69500i 0.0698528 + 0.177982i 0.961537 0.274677i \(-0.0885708\pi\)
−0.891684 + 0.452659i \(0.850476\pi\)
\(432\) −19.9079 + 10.4947i −0.957821 + 0.504929i
\(433\) 20.2700 + 25.4178i 0.974115 + 1.22150i 0.975160 + 0.221502i \(0.0710960\pi\)
−0.00104491 + 0.999999i \(0.500333\pi\)
\(434\) 10.1195 24.9533i 0.485752 1.19779i
\(435\) 1.47316 + 1.17481i 0.0706328 + 0.0563278i
\(436\) 15.5790 8.59948i 0.746101 0.411841i
\(437\) −15.3599 1.15106i −0.734762 0.0550628i
\(438\) 12.2681 8.19260i 0.586193 0.391457i
\(439\) 11.5167 10.6859i 0.549660 0.510010i −0.355731 0.934588i \(-0.615768\pi\)
0.905391 + 0.424578i \(0.139578\pi\)
\(440\) −4.46762 1.15621i −0.212985 0.0551202i
\(441\) 1.95249 8.42548i 0.0929758 0.401213i
\(442\) 27.0851 12.7242i 1.28831 0.605228i
\(443\) 4.90417 + 5.28544i 0.233004 + 0.251119i 0.838721 0.544562i \(-0.183304\pi\)
−0.605717 + 0.795680i \(0.707114\pi\)
\(444\) −1.34280 + 2.22583i −0.0637263 + 0.105633i
\(445\) −2.86450 0.214664i −0.135790 0.0101761i
\(446\) 21.8126 1.42388i 1.03285 0.0674228i
\(447\) 19.9291 24.9904i 0.942616 1.18200i
\(448\) −4.39040 + 20.7057i −0.207427 + 0.978251i
\(449\) −15.1065 18.9429i −0.712917 0.893970i 0.284996 0.958529i \(-0.408008\pi\)
−0.997914 + 0.0645583i \(0.979436\pi\)
\(450\) 5.66316 + 6.22236i 0.266964 + 0.293325i
\(451\) −7.51164 + 2.94810i −0.353709 + 0.138821i
\(452\) −3.75856 + 2.45804i −0.176788 + 0.115616i
\(453\) −0.206342 + 0.0154632i −0.00969479 + 0.000726524i
\(454\) −19.6772 25.1670i −0.923495 1.18114i
\(455\) −3.79480 + 1.48209i −0.177903 + 0.0694815i
\(456\) −3.20749 + 6.19665i −0.150205 + 0.290185i
\(457\) 24.4772 + 3.68935i 1.14500 + 0.172580i 0.694020 0.719955i \(-0.255838\pi\)
0.450976 + 0.892536i \(0.351076\pi\)
\(458\) 7.35756 12.4653i 0.343796 0.582467i
\(459\) 28.7852 + 16.6191i 1.34358 + 0.775715i
\(460\) −1.19821 + 7.02964i −0.0558666 + 0.327759i
\(461\) −5.32533 + 11.0582i −0.248025 + 0.515030i −0.987396 0.158269i \(-0.949409\pi\)
0.739371 + 0.673298i \(0.235123\pi\)
\(462\) −18.8617 0.212637i −0.877524 0.00989278i
\(463\) −9.13619 + 4.39976i −0.424595 + 0.204474i −0.633964 0.773363i \(-0.718573\pi\)
0.209369 + 0.977837i \(0.432859\pi\)
\(464\) 12.0915 + 5.29071i 0.561336 + 0.245615i
\(465\) −3.01258 2.79526i −0.139705 0.129627i
\(466\) 4.61282 14.4593i 0.213685 0.669816i
\(467\) 5.75198 8.43660i 0.266170 0.390400i −0.669765 0.742573i \(-0.733605\pi\)
0.935935 + 0.352174i \(0.114557\pi\)
\(468\) −8.58941 2.13503i −0.397046 0.0986917i
\(469\) 35.0627 + 0.0581631i 1.61904 + 0.00268572i
\(470\) 0.839052 + 0.00806707i 0.0387026 + 0.000372106i
\(471\) 0.239916 + 0.415546i 0.0110547 + 0.0191474i
\(472\) −21.1169 20.7586i −0.971984 0.955490i
\(473\) 22.1515 15.1026i 1.01853 0.694419i
\(474\) −16.8504 + 5.02077i −0.773965 + 0.230612i
\(475\) 8.71843 + 1.98992i 0.400029 + 0.0913040i
\(476\) 29.3322 10.8107i 1.34444 0.495506i
\(477\) −3.13266 + 0.715010i −0.143435 + 0.0327381i
\(478\) 30.0333 16.9569i 1.37369 0.775589i
\(479\) −22.7119 7.00570i −1.03773 0.320099i −0.271350 0.962481i \(-0.587470\pi\)
−0.766385 + 0.642382i \(0.777946\pi\)
\(480\) 2.71674 + 1.74775i 0.124002 + 0.0797736i
\(481\) −3.34899 + 1.03303i −0.152701 + 0.0471020i
\(482\) −14.9565 + 30.3086i −0.681250 + 1.38052i
\(483\) 2.13000 + 29.0699i 0.0969184 + 1.32273i
\(484\) −1.38691 6.66464i −0.0630412 0.302938i
\(485\) −4.77546 1.87423i −0.216842 0.0851044i
\(486\) −5.98486 15.6911i −0.271479 0.711764i
\(487\) 23.5607 3.55120i 1.06764 0.160920i 0.408360 0.912821i \(-0.366101\pi\)
0.659277 + 0.751901i \(0.270863\pi\)
\(488\) 13.2681 + 24.5927i 0.600619 + 1.11326i
\(489\) 12.0752 0.546059
\(490\) −4.08264 + 1.20173i −0.184435 + 0.0542888i
\(491\) 28.5936i 1.29041i 0.764009 + 0.645206i \(0.223228\pi\)
−0.764009 + 0.645206i \(0.776772\pi\)
\(492\) 5.63991 0.313741i 0.254267 0.0141445i
\(493\) −2.90532 19.2755i −0.130849 0.868126i
\(494\) −8.78962 + 3.35252i −0.395464 + 0.150837i
\(495\) 0.736482 1.87653i 0.0331024 0.0843436i
\(496\) −25.4362 13.4778i −1.14212 0.605172i
\(497\) −22.5605 + 32.9725i −1.01198 + 1.47902i
\(498\) −14.0934 + 28.5597i −0.631542 + 1.27979i
\(499\) 11.4491 + 37.1172i 0.512534 + 1.66159i 0.728385 + 0.685168i \(0.240271\pi\)
−0.215850 + 0.976426i \(0.569252\pi\)
\(500\) 2.64208 8.01492i 0.118157 0.358438i
\(501\) −3.89479 + 12.6266i −0.174006 + 0.564115i
\(502\) −0.669375 1.18557i −0.0298756 0.0529146i
\(503\) −5.53284 24.2410i −0.246697 1.08085i −0.934782 0.355221i \(-0.884406\pi\)
0.688085 0.725630i \(-0.258452\pi\)
\(504\) −8.74791 2.99345i −0.389663 0.133339i
\(505\) −0.968649 + 4.24393i −0.0431043 + 0.188852i
\(506\) −42.6611 + 12.7114i −1.89652 + 0.565089i
\(507\) −0.127968 0.187694i −0.00568324 0.00833578i
\(508\) 3.08441 + 8.32625i 0.136849 + 0.369418i
\(509\) −9.02074 + 5.20813i −0.399837 + 0.230846i −0.686414 0.727211i \(-0.740816\pi\)
0.286577 + 0.958057i \(0.407483\pi\)
\(510\) 0.0458694 4.77086i 0.00203113 0.211257i
\(511\) 20.2483 + 4.65690i 0.895734 + 0.206009i
\(512\) 21.5424 + 6.92267i 0.952050 + 0.305942i
\(513\) −8.63323 5.88603i −0.381166 0.259875i
\(514\) 1.81835 5.69980i 0.0802040 0.251407i
\(515\) −1.40639 + 1.51573i −0.0619731 + 0.0667911i
\(516\) −18.0363 + 5.18586i −0.794006 + 0.228295i
\(517\) 2.27265 + 4.71921i 0.0999512 + 0.207551i
\(518\) −3.57832 + 0.774395i −0.157222 + 0.0340250i
\(519\) 9.86934 + 4.75283i 0.433216 + 0.208626i
\(520\) 1.16318 + 4.19704i 0.0510087 + 0.184052i
\(521\) −1.82110 + 3.15424i −0.0797839 + 0.138190i −0.903157 0.429311i \(-0.858756\pi\)
0.823373 + 0.567501i \(0.192090\pi\)
\(522\) −2.93058 + 4.96505i −0.128268 + 0.217314i
\(523\) 1.16673 7.74077i 0.0510177 0.338480i −0.948731 0.316083i \(-0.897632\pi\)
0.999749 0.0223971i \(-0.00712981\pi\)
\(524\) 16.8817 12.9396i 0.737479 0.565268i
\(525\) 1.29262 16.8732i 0.0564147 0.736407i
\(526\) −4.27564 + 3.34297i −0.186427 + 0.145760i
\(527\) 3.17721 + 42.3969i 0.138401 + 1.84684i
\(528\) −2.27897 + 20.0361i −0.0991794 + 0.871957i
\(529\) 16.7276 + 42.6212i 0.727286 + 1.85309i
\(530\) 1.06426 + 1.16935i 0.0462285 + 0.0507933i
\(531\) 10.1131 8.06492i 0.438871 0.349988i
\(532\) −9.44910 + 2.69987i −0.409670 + 0.117054i
\(533\) 5.95410 + 4.74824i 0.257901 + 0.205669i
\(534\) 0.817633 + 12.5254i 0.0353825 + 0.542026i
\(535\) −0.111077 + 1.48223i −0.00480230 + 0.0640822i
\(536\) 3.87794 37.2825i 0.167502 1.61036i
\(537\) 6.31633 5.86070i 0.272570 0.252908i
\(538\) 39.0931 18.3653i 1.68542 0.791786i
\(539\) −18.0051 19.5345i −0.775536 0.841411i
\(540\) −3.08826 + 3.72338i −0.132897 + 0.160229i
\(541\) 10.8355 + 11.6779i 0.465856 + 0.502073i 0.921655 0.388009i \(-0.126837\pi\)
−0.455800 + 0.890082i \(0.650647\pi\)
\(542\) 3.05540 + 4.57534i 0.131241 + 0.196528i
\(543\) −1.92075 + 25.6306i −0.0824271 + 1.09991i
\(544\) −8.30463 32.3711i −0.356058 1.38790i
\(545\) 2.38487 2.99054i 0.102157 0.128101i
\(546\) 8.72660 + 15.5163i 0.373464 + 0.664035i
\(547\) −13.6772 + 10.9072i −0.584796 + 0.466359i −0.870643 0.491916i \(-0.836297\pi\)
0.285846 + 0.958275i \(0.407725\pi\)
\(548\) 12.4349 29.9757i 0.531193 1.28050i
\(549\) −11.3628 + 4.45955i −0.484951 + 0.190329i
\(550\) 25.5915 3.60602i 1.09123 0.153761i
\(551\) 0.457940 + 6.11079i 0.0195089 + 0.260328i
\(552\) 31.1474 + 0.898621i 1.32572 + 0.0382478i
\(553\) −21.4251 12.4172i −0.911087 0.528033i
\(554\) −6.97209 31.9601i −0.296216 1.35785i
\(555\) −0.0832801 + 0.552527i −0.00353504 + 0.0234535i
\(556\) −11.7134 1.10465i −0.496761 0.0468477i
\(557\) −5.69673 3.28901i −0.241378 0.139360i 0.374432 0.927254i \(-0.377838\pi\)
−0.615810 + 0.787895i \(0.711171\pi\)
\(558\) 7.18312 10.3211i 0.304086 0.436927i
\(559\) −22.7964 10.9782i −0.964184 0.464327i
\(560\) 0.833694 + 4.47264i 0.0352300 + 0.189003i
\(561\) 26.8335 12.9223i 1.13291 0.545581i
\(562\) −0.376226 + 2.34302i −0.0158701 + 0.0988345i
\(563\) 9.39664 10.1272i 0.396021 0.426809i −0.503291 0.864117i \(-0.667878\pi\)
0.899312 + 0.437308i \(0.144068\pi\)
\(564\) −0.476661 3.63545i −0.0200711 0.153080i
\(565\) −0.543796 + 0.797602i −0.0228777 + 0.0335554i
\(566\) 15.9005 19.5500i 0.668347 0.821747i
\(567\) −4.33903 + 8.97199i −0.182222 + 0.376788i
\(568\) 32.6106 + 27.5815i 1.36831 + 1.15729i
\(569\) −10.3912 17.9980i −0.435620 0.754516i 0.561726 0.827323i \(-0.310137\pi\)
−0.997346 + 0.0728075i \(0.976804\pi\)
\(570\) −0.126457 + 1.49450i −0.00529672 + 0.0625978i
\(571\) −13.2291 19.4035i −0.553619 0.812010i 0.442795 0.896623i \(-0.353987\pi\)
−0.996414 + 0.0846128i \(0.973035\pi\)
\(572\) −20.2814 + 18.1053i −0.848009 + 0.757022i
\(573\) −3.70385 0.845380i −0.154731 0.0353163i
\(574\) 5.77047 + 5.47655i 0.240855 + 0.228587i
\(575\) −8.88657 38.9346i −0.370596 1.62369i
\(576\) −4.13560 + 8.97753i −0.172317 + 0.374064i
\(577\) −36.2247 11.1738i −1.50805 0.465173i −0.572962 0.819582i \(-0.694206\pi\)
−0.935090 + 0.354409i \(0.884682\pi\)
\(578\) −17.3976 + 18.3923i −0.723643 + 0.765017i
\(579\) −4.15061 13.4559i −0.172493 0.559210i
\(580\) 2.83649 + 0.0545479i 0.117779 + 0.00226498i
\(581\) −42.8836 + 13.1500i −1.77911 + 0.545553i
\(582\) −5.19810 + 21.8058i −0.215468 + 0.903881i
\(583\) −3.60597 + 9.18785i −0.149344 + 0.380522i
\(584\) 7.15632 21.0271i 0.296131 0.870106i
\(585\) −1.88124 + 0.283552i −0.0777798 + 0.0117234i
\(586\) 8.55872 21.2055i 0.353557 0.875991i
\(587\) 15.7689i 0.650854i 0.945567 + 0.325427i \(0.105508\pi\)
−0.945567 + 0.325427i \(0.894492\pi\)
\(588\) 7.68900 + 16.9326i 0.317089 + 0.698290i
\(589\) 13.3653i 0.550708i
\(590\) −5.90243 2.38227i −0.242999 0.0980765i
\(591\) 21.3080 3.21166i 0.876494 0.132110i
\(592\) 0.434111 + 3.88979i 0.0178419 + 0.159869i
\(593\) 2.81806 7.18029i 0.115724 0.294859i −0.861263 0.508160i \(-0.830326\pi\)
0.976987 + 0.213300i \(0.0684213\pi\)
\(594\) −29.3741 7.00224i −1.20524 0.287305i
\(595\) 4.93340 4.56232i 0.202250 0.187037i
\(596\) 0.925336 48.1175i 0.0379032 1.97097i
\(597\) 0.480334 + 1.55720i 0.0196587 + 0.0637321i
\(598\) 30.5200 + 28.8694i 1.24806 + 1.18056i
\(599\) 11.5245 + 3.55484i 0.470879 + 0.145247i 0.521108 0.853491i \(-0.325519\pi\)
−0.0502292 + 0.998738i \(0.515995\pi\)
\(600\) −17.8038 3.21111i −0.726837 0.131093i
\(601\) 7.38309 + 32.3474i 0.301162 + 1.31948i 0.868375 + 0.495907i \(0.165164\pi\)
−0.567213 + 0.823571i \(0.691978\pi\)
\(602\) −22.7400 13.4730i −0.926814 0.549119i
\(603\) 15.9634 + 3.64354i 0.650079 + 0.148376i
\(604\) −0.232414 + 0.207477i −0.00945680 + 0.00844213i
\(605\) −0.824288 1.20901i −0.0335121 0.0491532i
\(606\) 18.9538 + 1.60378i 0.769946 + 0.0651491i
\(607\) 11.9109 + 20.6303i 0.483450 + 0.837360i 0.999819 0.0190060i \(-0.00605015\pi\)
−0.516369 + 0.856366i \(0.672717\pi\)
\(608\) 1.84288 + 10.3429i 0.0747387 + 0.419459i
\(609\) 11.3097 2.56164i 0.458293 0.103803i
\(610\) 4.65987 + 3.78999i 0.188673 + 0.153452i
\(611\) 2.78467 4.08436i 0.112656 0.165236i
\(612\) 14.4747 1.89784i 0.585103 0.0767157i
\(613\) 8.12504 8.75671i 0.328167 0.353680i −0.547318 0.836925i \(-0.684351\pi\)
0.875485 + 0.483244i \(0.160542\pi\)
\(614\) 31.7207 + 5.09348i 1.28014 + 0.205556i
\(615\) 1.09394 0.526815i 0.0441120 0.0212432i
\(616\) −22.7344 + 17.0222i −0.915994 + 0.685845i
\(617\) 29.9935 + 14.4441i 1.20749 + 0.581498i 0.925803 0.378008i \(-0.123391\pi\)
0.281690 + 0.959505i \(0.409105\pi\)
\(618\) 7.41595 + 5.16124i 0.298313 + 0.207616i
\(619\) 14.8729 + 8.58686i 0.597791 + 0.345135i 0.768172 0.640243i \(-0.221166\pi\)
−0.170381 + 0.985378i \(0.554500\pi\)
\(620\) −6.16034 0.580959i −0.247405 0.0233319i
\(621\) −6.95464 + 46.1410i −0.279080 + 1.85158i
\(622\) −30.0159 + 6.54797i −1.20353 + 0.262550i
\(623\) −12.0458 + 12.9392i −0.482606 + 0.518398i
\(624\) 17.4512 7.59192i 0.698606 0.303920i
\(625\) 1.66363 + 22.1997i 0.0665454 + 0.887986i
\(626\) −1.64206 11.6535i −0.0656300 0.465768i
\(627\) −8.71540 + 3.42054i −0.348059 + 0.136603i
\(628\) 0.667318 + 0.276825i 0.0266289 + 0.0110465i
\(629\) 4.51951 3.60419i 0.180205 0.143708i
\(630\) −1.98342 + 0.126170i −0.0790212 + 0.00502672i
\(631\) 22.1957 27.8326i 0.883598 1.10800i −0.109877 0.993945i \(-0.535046\pi\)
0.993475 0.114051i \(-0.0363828\pi\)
\(632\) −15.5374 + 21.4339i −0.618045 + 0.852596i
\(633\) 1.57559 21.0248i 0.0626243 0.835663i
\(634\) −2.41359 + 1.61179i −0.0958558 + 0.0640122i
\(635\) 1.29818 + 1.39910i 0.0515166 + 0.0555217i
\(636\) 4.41083 5.31794i 0.174901 0.210870i
\(637\) −7.46963 + 23.9338i −0.295958 + 0.948290i
\(638\) 7.53022 + 16.0291i 0.298124 + 0.634597i
\(639\) −13.6767 + 12.6901i −0.541040 + 0.502012i
\(640\) 4.84734 0.399841i 0.191608 0.0158051i
\(641\) 0.849350 11.3338i 0.0335473 0.447658i −0.954986 0.296652i \(-0.904130\pi\)
0.988533 0.151006i \(-0.0482512\pi\)
\(642\) 6.48123 0.423082i 0.255794 0.0166977i
\(643\) −31.7997 25.3594i −1.25406 1.00008i −0.999454 0.0330314i \(-0.989484\pi\)
−0.254603 0.967046i \(-0.581945\pi\)
\(644\) 29.1719 + 32.7874i 1.14953 + 1.29201i
\(645\) −3.15392 + 2.51517i −0.124185 + 0.0990346i
\(646\) 11.4753 10.4440i 0.451489 0.410914i
\(647\) 0.409193 + 1.04261i 0.0160870 + 0.0409891i 0.938692 0.344758i \(-0.112039\pi\)
−0.922605 + 0.385747i \(0.873944\pi\)
\(648\) 9.06938 + 5.59099i 0.356279 + 0.219635i
\(649\) −2.96926 39.6220i −0.116554 1.55530i
\(650\) −15.0233 19.2147i −0.589262 0.753663i
\(651\) −25.0156 + 3.72807i −0.980440 + 0.146115i
\(652\) 14.4298 11.0603i 0.565115 0.433154i
\(653\) 5.58715 37.0683i 0.218642 1.45059i −0.562788 0.826601i \(-0.690271\pi\)
0.781430 0.623993i \(-0.214491\pi\)
\(654\) −14.3939 8.49589i −0.562847 0.332216i
\(655\) 2.28604 3.95954i 0.0893229 0.154712i
\(656\) 6.45230 5.54079i 0.251920 0.216332i
\(657\) 8.74174 + 4.20980i 0.341048 + 0.164240i
\(658\) 3.26501 4.00083i 0.127283 0.155969i
\(659\) −1.65112 3.42858i −0.0643184 0.133558i 0.866331 0.499470i \(-0.166472\pi\)
−0.930650 + 0.365911i \(0.880757\pi\)
\(660\) 1.19776 + 4.16579i 0.0466227 + 0.162153i
\(661\) −6.41977 + 6.91887i −0.249700 + 0.269113i −0.845447 0.534060i \(-0.820666\pi\)
0.595747 + 0.803172i \(0.296856\pi\)
\(662\) 27.7695 + 8.85903i 1.07929 + 0.344316i
\(663\) −23.2237 15.8337i −0.901935 0.614929i
\(664\) 9.31759 + 47.0375i 0.361593 + 1.82541i
\(665\) −1.65371 + 1.31431i −0.0641282 + 0.0509667i
\(666\) −1.70964 0.0164373i −0.0662471 0.000636933i
\(667\) 23.6996 13.6830i 0.917653 0.529807i
\(668\) 6.91107 + 18.6562i 0.267397 + 0.721829i
\(669\) −11.5658 16.9639i −0.447161 0.655864i
\(670\) −2.30076 7.72170i −0.0888863 0.298315i
\(671\) −8.34345 + 36.5550i −0.322095 + 1.41119i
\(672\) 18.8445 6.33430i 0.726944 0.244351i
\(673\) 0.897575 + 3.93253i 0.0345990 + 0.151588i 0.989277 0.146053i \(-0.0466572\pi\)
−0.954678 + 0.297641i \(0.903800\pi\)
\(674\) 15.1471 8.55211i 0.583446 0.329415i
\(675\) 7.98526 25.8876i 0.307353 0.996413i
\(676\) −0.324839 0.107082i −0.0124938 0.00411852i
\(677\) −12.4776 40.4515i −0.479554 1.55468i −0.795533 0.605910i \(-0.792809\pi\)
0.315979 0.948766i \(-0.397667\pi\)
\(678\) 3.78273 + 1.86668i 0.145275 + 0.0716893i
\(679\) −27.3683 + 15.7406i −1.05030 + 0.604070i
\(680\) −4.31505 5.74317i −0.165475 0.220240i
\(681\) −10.9625 + 27.9321i −0.420085 + 1.07036i
\(682\) −13.7653 36.0898i −0.527100 1.38195i
\(683\) −3.50102 23.2277i −0.133963 0.888784i −0.950328 0.311249i \(-0.899253\pi\)
0.816366 0.577535i \(-0.195985\pi\)
\(684\) −4.58213 + 0.254898i −0.175202 + 0.00974626i
\(685\) 6.97574i 0.266529i
\(686\) −9.92357 + 24.2389i −0.378884 + 0.925444i
\(687\) −13.5957 −0.518709
\(688\) −16.8034 + 22.7175i −0.640622 + 0.866095i
\(689\) 9.21094 1.38833i 0.350909 0.0528910i
\(690\) 6.25820 2.38699i 0.238246 0.0908710i
\(691\) −0.916013 0.359509i −0.0348468 0.0136764i 0.347854 0.937549i \(-0.386911\pi\)
−0.382700 + 0.923873i \(0.625006\pi\)
\(692\) 16.1472 3.36021i 0.613823 0.127736i
\(693\) −6.18531 10.7544i −0.234960 0.408527i
\(694\) −32.1744 15.8772i −1.22132 0.602692i
\(695\) −2.41664 + 0.745435i −0.0916685 + 0.0282760i
\(696\) −1.49337 12.3066i −0.0566061 0.466480i
\(697\) −12.0031 3.70248i −0.454651 0.140241i
\(698\) −15.5676 27.5728i −0.589243 1.04364i
\(699\) −13.8982 + 3.17217i −0.525678 + 0.119983i
\(700\) −13.9103 21.3474i −0.525761 0.806855i
\(701\) 13.7018 + 3.12735i 0.517511 + 0.118119i 0.473296 0.880904i \(-0.343064\pi\)
0.0442151 + 0.999022i \(0.485921\pi\)
\(702\) 8.13795 + 27.3121i 0.307147 + 1.03083i
\(703\) −1.50146 + 1.02367i −0.0566284 + 0.0386086i
\(704\) 15.6287 + 26.0304i 0.589027 + 0.981058i
\(705\) −0.394067 0.682545i −0.0148414 0.0257061i
\(706\) 0.0465663 4.84334i 0.00175254 0.182281i
\(707\) 16.6685 + 20.9730i 0.626885 + 0.788770i
\(708\) −6.70925 + 26.9919i −0.252149 + 1.01442i
\(709\) 24.5583 36.0204i 0.922306 1.35277i −0.0133683 0.999911i \(-0.504255\pi\)
0.935675 0.352864i \(-0.114792\pi\)
\(710\) 8.74641 + 2.79028i 0.328247 + 0.104717i
\(711\) −8.47715 7.86564i −0.317918 0.294985i
\(712\) 12.4497 + 14.2189i 0.466572 + 0.532874i
\(713\) −53.7757 + 25.8970i −2.01392 + 0.969851i
\(714\) −22.7488 18.5649i −0.851351 0.694774i
\(715\) −2.53558 + 5.26519i −0.0948254 + 0.196907i
\(716\) 2.17988 12.7890i 0.0814661 0.477946i
\(717\) −28.0550 16.1976i −1.04773 0.604910i
\(718\) 2.27073 + 1.34028i 0.0847428 + 0.0500187i
\(719\) 11.1691 + 1.68347i 0.416536 + 0.0627827i 0.353967 0.935258i \(-0.384833\pi\)
0.0625690 + 0.998041i \(0.480071\pi\)
\(720\) −0.0816870 + 2.12308i −0.00304429 + 0.0791223i
\(721\) 1.87572 + 12.5862i 0.0698555 + 0.468735i
\(722\) 17.3253 13.5460i 0.644781 0.504131i
\(723\) 31.6568 2.37235i 1.17733 0.0882286i
\(724\) 21.1810 + 32.3877i 0.787187 + 1.20368i
\(725\) −14.7899 + 5.80459i −0.549281 + 0.215577i
\(726\) −4.72874 + 4.30377i −0.175500 + 0.159728i
\(727\) −24.9347 31.2671i −0.924775 1.15963i −0.986863 0.161561i \(-0.948347\pi\)
0.0620874 0.998071i \(-0.480224\pi\)
\(728\) 24.6404 + 10.5487i 0.913232 + 0.390962i
\(729\) −16.8806 + 21.1676i −0.625208 + 0.783987i
\(730\) −0.311002 4.76426i −0.0115107 0.176333i
\(731\) 41.6167 + 3.11874i 1.53925 + 0.115351i
\(732\) 13.5579 22.4737i 0.501116 0.830653i
\(733\) −3.51634 3.78971i −0.129879 0.139976i 0.664764 0.747054i \(-0.268532\pi\)
−0.794643 + 0.607077i \(0.792342\pi\)
\(734\) 7.98109 + 16.9888i 0.294587 + 0.627069i
\(735\) 2.92125 + 2.72862i 0.107752 + 0.100647i
\(736\) 38.0441 27.4556i 1.40232 1.01203i
\(737\) 36.8696 34.2100i 1.35811 1.26014i
\(738\) 2.06321 + 3.08959i 0.0759480 + 0.113729i
\(739\) 10.1438 + 0.760170i 0.373144 + 0.0279633i 0.259983 0.965613i \(-0.416283\pi\)
0.113162 + 0.993577i \(0.463902\pi\)
\(740\) 0.406568 + 0.736548i 0.0149457 + 0.0270760i
\(741\) 6.90826 + 5.50915i 0.253781 + 0.202384i
\(742\) 9.71120 0.617753i 0.356509 0.0226784i
\(743\) 17.2959 + 21.6883i 0.634524 + 0.795667i 0.990306 0.138901i \(-0.0443571\pi\)
−0.355783 + 0.934569i \(0.615786\pi\)
\(744\) 1.24216 + 27.0096i 0.0455399 + 0.990221i
\(745\) −3.77940 9.62975i −0.138466 0.352807i
\(746\) 13.0192 1.83449i 0.476665 0.0671655i
\(747\) −20.8880 + 1.56534i −0.764251 + 0.0572727i
\(748\) 20.2297 40.0203i 0.739671 1.46329i
\(749\) 6.69535 + 6.23308i 0.244643 + 0.227752i
\(750\) −7.74454 + 1.68947i −0.282791 + 0.0616908i
\(751\) −9.97837 1.50400i −0.364116 0.0548817i −0.0355636 0.999367i \(-0.511323\pi\)
−0.328552 + 0.944486i \(0.606561\pi\)
\(752\) −3.89949 3.90775i −0.142200 0.142501i
\(753\) −0.639402 + 1.10748i −0.0233011 + 0.0403587i
\(754\) 9.54747 13.7183i 0.347698 0.499592i
\(755\) −0.0290564 + 0.0603362i −0.00105747 + 0.00219586i
\(756\) 6.01703 + 29.1566i 0.218837 + 1.06042i
\(757\) −8.90065 18.4824i −0.323500 0.671754i 0.674271 0.738484i \(-0.264458\pi\)
−0.997771 + 0.0667296i \(0.978744\pi\)
\(758\) −4.92419 0.790692i −0.178855 0.0287192i
\(759\) 30.6499 + 28.4389i 1.11252 + 1.03227i
\(760\) 1.21777 + 1.90175i 0.0441732 + 0.0689837i
\(761\) −26.8259 18.2896i −0.972439 0.662997i −0.0307655 0.999527i \(-0.509795\pi\)
−0.941673 + 0.336529i \(0.890747\pi\)
\(762\) 5.26234 6.47016i 0.190634 0.234389i
\(763\) −5.20016 22.9589i −0.188258 0.831166i
\(764\) −5.20041 + 2.38232i −0.188144 + 0.0861891i
\(765\) 2.71757 1.56899i 0.0982541 0.0567270i
\(766\) 21.3767 + 1.80879i 0.772373 + 0.0653544i
\(767\) −30.9826 + 21.1235i −1.11872 + 0.762727i
\(768\) −4.68550 20.7304i −0.169073 0.748043i
\(769\) 12.0377 52.7406i 0.434090 1.90187i 0.00209716 0.999998i \(-0.499332\pi\)
0.431993 0.901877i \(-0.357810\pi\)
\(770\) −3.11181 + 5.25218i −0.112142 + 0.189275i
\(771\) −5.47860 + 1.25046i −0.197307 + 0.0450341i
\(772\) −17.2849 12.2780i −0.622098 0.441896i