Properties

Label 418.2.u.b.5.9
Level $418$
Weight $2$
Character 418.5
Analytic conductor $3.338$
Analytic rank $0$
Dimension $264$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 418 = 2 \cdot 11 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 418.u (of order \(45\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.33774680449\)
Analytic rank: \(0\)
Dimension: \(264\)
Relative dimension: \(11\) over \(\Q(\zeta_{45})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{45}]$

Embedding invariants

Embedding label 5.9
Character \(\chi\) \(=\) 418.5
Dual form 418.2.u.b.251.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.615661 - 0.788011i) q^{2} +(1.44037 - 1.39095i) q^{3} +(-0.241922 + 0.970296i) q^{4} +(1.24695 - 0.779183i) q^{5} +(-1.98287 - 0.278674i) q^{6} +(0.930267 + 0.414181i) q^{7} +(0.913545 - 0.406737i) q^{8} +(0.0352282 - 1.00880i) q^{9} +O(q^{10})\) \(q+(-0.615661 - 0.788011i) q^{2} +(1.44037 - 1.39095i) q^{3} +(-0.241922 + 0.970296i) q^{4} +(1.24695 - 0.779183i) q^{5} +(-1.98287 - 0.278674i) q^{6} +(0.930267 + 0.414181i) q^{7} +(0.913545 - 0.406737i) q^{8} +(0.0352282 - 1.00880i) q^{9} +(-1.38171 - 0.502900i) q^{10} +(2.19752 + 2.48413i) q^{11} +(1.00118 + 1.73409i) q^{12} +(4.07270 - 2.16549i) q^{13} +(-0.246350 - 0.988056i) q^{14} +(0.712272 - 2.85677i) q^{15} +(-0.882948 - 0.469472i) q^{16} +(-0.137311 - 3.93207i) q^{17} +(-0.816638 + 0.593322i) q^{18} +(-3.36791 - 2.76716i) q^{19} +(0.454373 + 1.39842i) q^{20} +(1.91604 - 0.697380i) q^{21} +(0.604593 - 3.26105i) q^{22} +(-4.68447 + 3.93074i) q^{23} +(0.750095 - 1.85655i) q^{24} +(-1.24409 + 2.55076i) q^{25} +(-4.21384 - 1.87612i) q^{26} +(2.66705 + 2.96206i) q^{27} +(-0.626930 + 0.802434i) q^{28} +(-4.36949 + 1.25293i) q^{29} +(-2.68968 + 1.19752i) q^{30} +(4.79833 - 5.32908i) q^{31} +(0.173648 + 0.984808i) q^{32} +(6.62055 + 0.521429i) q^{33} +(-3.01398 + 2.52903i) q^{34} +(1.48272 - 0.208383i) q^{35} +(0.970316 + 0.278234i) q^{36} +(-3.55405 + 2.58217i) q^{37} +(-0.107064 + 4.35758i) q^{38} +(2.85411 - 8.78405i) q^{39} +(0.822227 - 1.21900i) q^{40} +(-0.264623 + 0.255543i) q^{41} +(-1.72917 - 1.08051i) q^{42} +(-7.84612 - 6.58368i) q^{43} +(-2.94197 + 1.53128i) q^{44} +(-0.742116 - 1.28538i) q^{45} +(5.98151 + 1.27141i) q^{46} +(6.29540 + 9.33331i) q^{47} +(-1.92479 + 0.551923i) q^{48} +(-3.99006 - 4.43142i) q^{49} +(2.77596 - 0.590049i) q^{50} +(-5.66710 - 5.47266i) q^{51} +(1.11589 + 4.47561i) q^{52} +(-8.91446 - 5.57037i) q^{53} +(0.692135 - 3.92529i) q^{54} +(4.67580 + 1.38533i) q^{55} +1.01830 q^{56} +(-8.70003 + 0.698850i) q^{57} +(3.67745 + 2.67182i) q^{58} +(-0.405331 + 0.600928i) q^{59} +(2.59959 + 1.38223i) q^{60} +(-0.707129 - 1.75021i) q^{61} +(-7.15352 - 0.500223i) q^{62} +(0.450600 - 0.923867i) q^{63} +(0.669131 - 0.743145i) q^{64} +(3.39116 - 5.87365i) q^{65} +(-3.66513 - 5.53809i) q^{66} +(13.2649 + 4.82802i) q^{67} +(3.84849 + 0.818022i) q^{68} +(-1.27992 + 12.1776i) q^{69} +(-1.07706 - 1.04011i) q^{70} +(-8.46107 + 5.28707i) q^{71} +(-0.378135 - 0.935917i) q^{72} +(2.68400 + 5.50301i) q^{73} +(4.22287 + 1.21089i) q^{74} +(1.75603 + 5.40451i) q^{75} +(3.49974 - 2.59843i) q^{76} +(1.01540 + 3.22108i) q^{77} +(-8.67909 + 3.15893i) q^{78} +(13.7683 - 1.93501i) q^{79} +(-1.46680 + 0.102569i) q^{80} +(10.9825 + 0.767972i) q^{81} +(0.364289 + 0.0511975i) q^{82} +(-3.68403 + 0.783065i) q^{83} +(0.213134 + 2.02783i) q^{84} +(-3.23503 - 4.79612i) q^{85} +(-0.357454 + 10.2361i) q^{86} +(-4.55093 + 7.88243i) q^{87} +(3.01792 + 1.37555i) q^{88} +(-0.234148 - 1.32792i) q^{89} +(-0.556003 + 1.37616i) q^{90} +(4.68561 - 0.327650i) q^{91} +(-2.68070 - 5.49625i) q^{92} +(-0.501117 - 14.3501i) q^{93} +(3.47892 - 10.7070i) q^{94} +(-6.35575 - 0.826309i) q^{95} +(1.61994 + 1.17695i) q^{96} +(8.28131 + 10.5996i) q^{97} +(-1.03547 + 5.87247i) q^{98} +(2.58342 - 2.12936i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 264 q + 6 q^{3} - 9 q^{6} - 15 q^{7} + 33 q^{8} + 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 264 q + 6 q^{3} - 9 q^{6} - 15 q^{7} + 33 q^{8} + 6 q^{9} + 3 q^{11} - 6 q^{13} + 18 q^{14} - 39 q^{15} - 3 q^{17} - 78 q^{18} - 45 q^{19} - 24 q^{20} + 48 q^{21} + 6 q^{23} - 9 q^{24} + 30 q^{25} + 18 q^{26} - 24 q^{27} + 6 q^{28} - 3 q^{31} - 63 q^{33} - 36 q^{34} + 42 q^{35} - 9 q^{36} + 60 q^{37} - 3 q^{38} + 36 q^{39} + 39 q^{41} + 6 q^{42} - 60 q^{43} + 60 q^{44} - 108 q^{45} - 12 q^{46} - 24 q^{47} - 12 q^{48} + 6 q^{49} + 18 q^{50} + 96 q^{51} + 3 q^{52} - 117 q^{53} + 54 q^{54} + 102 q^{55} - 96 q^{57} - 60 q^{58} - 141 q^{59} + 36 q^{60} + 24 q^{61} - 27 q^{62} - 81 q^{63} + 33 q^{64} - 102 q^{65} + 72 q^{66} + 102 q^{67} - 21 q^{68} - 6 q^{69} - 33 q^{70} - 66 q^{71} - 12 q^{72} + 36 q^{73} + 18 q^{74} + 6 q^{76} - 174 q^{77} + 18 q^{78} + 36 q^{79} + 60 q^{81} - 36 q^{82} - 24 q^{83} + 48 q^{84} + 174 q^{85} - 21 q^{86} + 12 q^{87} + 3 q^{88} + 30 q^{89} - 48 q^{90} - 18 q^{91} + 18 q^{92} - 123 q^{93} - 120 q^{94} - 18 q^{95} - 24 q^{97} - 84 q^{98} - 141 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).

\(n\) \(287\) \(343\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\) \(e\left(\frac{2}{5}\right)\)

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:
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\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.615661 0.788011i −0.435338 0.557208i
\(3\) 1.44037 1.39095i 0.831599 0.803066i −0.151052 0.988526i \(-0.548266\pi\)
0.982652 + 0.185459i \(0.0593773\pi\)
\(4\) −0.241922 + 0.970296i −0.120961 + 0.485148i
\(5\) 1.24695 0.779183i 0.557655 0.348461i −0.221630 0.975131i \(-0.571138\pi\)
0.779285 + 0.626669i \(0.215582\pi\)
\(6\) −1.98287 0.278674i −0.809502 0.113768i
\(7\) 0.930267 + 0.414181i 0.351608 + 0.156546i 0.574938 0.818197i \(-0.305026\pi\)
−0.223330 + 0.974743i \(0.571693\pi\)
\(8\) 0.913545 0.406737i 0.322987 0.143803i
\(9\) 0.0352282 1.00880i 0.0117427 0.336268i
\(10\) −1.38171 0.502900i −0.436934 0.159031i
\(11\) 2.19752 + 2.48413i 0.662577 + 0.748994i
\(12\) 1.00118 + 1.73409i 0.289015 + 0.500588i
\(13\) 4.07270 2.16549i 1.12956 0.600600i 0.203917 0.978988i \(-0.434633\pi\)
0.925647 + 0.378388i \(0.123521\pi\)
\(14\) −0.246350 0.988056i −0.0658398 0.264069i
\(15\) 0.712272 2.85677i 0.183908 0.737614i
\(16\) −0.882948 0.469472i −0.220737 0.117368i
\(17\) −0.137311 3.93207i −0.0333028 0.953668i −0.894952 0.446163i \(-0.852790\pi\)
0.861649 0.507505i \(-0.169432\pi\)
\(18\) −0.816638 + 0.593322i −0.192483 + 0.139847i
\(19\) −3.36791 2.76716i −0.772651 0.634831i
\(20\) 0.454373 + 1.39842i 0.101601 + 0.312695i
\(21\) 1.91604 0.697380i 0.418114 0.152181i
\(22\) 0.604593 3.26105i 0.128900 0.695259i
\(23\) −4.68447 + 3.93074i −0.976780 + 0.819616i −0.983600 0.180361i \(-0.942273\pi\)
0.00682063 + 0.999977i \(0.497829\pi\)
\(24\) 0.750095 1.85655i 0.153112 0.378967i
\(25\) −1.24409 + 2.55076i −0.248818 + 0.510152i
\(26\) −4.21384 1.87612i −0.826402 0.367938i
\(27\) 2.66705 + 2.96206i 0.513274 + 0.570049i
\(28\) −0.626930 + 0.802434i −0.118479 + 0.151646i
\(29\) −4.36949 + 1.25293i −0.811394 + 0.232663i −0.655583 0.755123i \(-0.727577\pi\)
−0.155811 + 0.987787i \(0.549799\pi\)
\(30\) −2.68968 + 1.19752i −0.491066 + 0.218637i
\(31\) 4.79833 5.32908i 0.861805 0.957131i −0.137639 0.990483i \(-0.543951\pi\)
0.999444 + 0.0333511i \(0.0106179\pi\)
\(32\) 0.173648 + 0.984808i 0.0306970 + 0.174091i
\(33\) 6.62055 + 0.521429i 1.15249 + 0.0907691i
\(34\) −3.01398 + 2.52903i −0.516893 + 0.433725i
\(35\) 1.48272 0.208383i 0.250626 0.0352232i
\(36\) 0.970316 + 0.278234i 0.161719 + 0.0463723i
\(37\) −3.55405 + 2.58217i −0.584282 + 0.424506i −0.840265 0.542175i \(-0.817601\pi\)
0.255983 + 0.966681i \(0.417601\pi\)
\(38\) −0.107064 + 4.35758i −0.0173681 + 0.706893i
\(39\) 2.85411 8.78405i 0.457024 1.40657i
\(40\) 0.822227 1.21900i 0.130005 0.192741i
\(41\) −0.264623 + 0.255543i −0.0413271 + 0.0399092i −0.715035 0.699088i \(-0.753589\pi\)
0.673708 + 0.738998i \(0.264701\pi\)
\(42\) −1.72917 1.08051i −0.266817 0.166726i
\(43\) −7.84612 6.58368i −1.19652 1.00400i −0.999722 0.0235574i \(-0.992501\pi\)
−0.196799 0.980444i \(-0.563055\pi\)
\(44\) −2.94197 + 1.53128i −0.443519 + 0.230849i
\(45\) −0.742116 1.28538i −0.110628 0.191613i
\(46\) 5.98151 + 1.27141i 0.881926 + 0.187459i
\(47\) 6.29540 + 9.33331i 0.918278 + 1.36140i 0.932371 + 0.361503i \(0.117736\pi\)
−0.0140929 + 0.999901i \(0.504486\pi\)
\(48\) −1.92479 + 0.551923i −0.277819 + 0.0796633i
\(49\) −3.99006 4.43142i −0.570009 0.633059i
\(50\) 2.77596 0.590049i 0.392580 0.0834455i
\(51\) −5.66710 5.47266i −0.793553 0.766325i
\(52\) 1.11589 + 4.47561i 0.154747 + 0.620655i
\(53\) −8.91446 5.57037i −1.22450 0.765149i −0.245572 0.969378i \(-0.578976\pi\)
−0.978923 + 0.204229i \(0.934531\pi\)
\(54\) 0.692135 3.92529i 0.0941876 0.534165i
\(55\) 4.67580 + 1.38533i 0.630485 + 0.186797i
\(56\) 1.01830 0.136077
\(57\) −8.70003 + 0.698850i −1.15235 + 0.0925649i
\(58\) 3.67745 + 2.67182i 0.482873 + 0.350828i
\(59\) −0.405331 + 0.600928i −0.0527696 + 0.0782341i −0.854499 0.519453i \(-0.826136\pi\)
0.801729 + 0.597687i \(0.203914\pi\)
\(60\) 2.59959 + 1.38223i 0.335606 + 0.178445i
\(61\) −0.707129 1.75021i −0.0905386 0.224091i 0.875120 0.483907i \(-0.160783\pi\)
−0.965658 + 0.259816i \(0.916338\pi\)
\(62\) −7.15352 0.500223i −0.908498 0.0635284i
\(63\) 0.450600 0.923867i 0.0567702 0.116396i
\(64\) 0.669131 0.743145i 0.0836413 0.0928931i
\(65\) 3.39116 5.87365i 0.420621 0.728537i
\(66\) −3.66513 5.53809i −0.451146 0.681692i
\(67\) 13.2649 + 4.82802i 1.62056 + 0.589836i 0.983489 0.180968i \(-0.0579230\pi\)
0.637072 + 0.770804i \(0.280145\pi\)
\(68\) 3.84849 + 0.818022i 0.466698 + 0.0991998i
\(69\) −1.27992 + 12.1776i −0.154084 + 1.46601i
\(70\) −1.07706 1.04011i −0.128734 0.124317i
\(71\) −8.46107 + 5.28707i −1.00414 + 0.627459i −0.929142 0.369724i \(-0.879452\pi\)
−0.0750032 + 0.997183i \(0.523897\pi\)
\(72\) −0.378135 0.935917i −0.0445637 0.110299i
\(73\) 2.68400 + 5.50301i 0.314138 + 0.644079i 0.996189 0.0872265i \(-0.0278004\pi\)
−0.682050 + 0.731305i \(0.738912\pi\)
\(74\) 4.22287 + 1.21089i 0.490898 + 0.140763i
\(75\) 1.75603 + 5.40451i 0.202769 + 0.624059i
\(76\) 3.49974 2.59843i 0.401447 0.298060i
\(77\) 1.01540 + 3.22108i 0.115716 + 0.367076i
\(78\) −8.67909 + 3.15893i −0.982714 + 0.357679i
\(79\) 13.7683 1.93501i 1.54906 0.217706i 0.687809 0.725892i \(-0.258573\pi\)
0.861247 + 0.508186i \(0.169684\pi\)
\(80\) −1.46680 + 0.102569i −0.163993 + 0.0114675i
\(81\) 10.9825 + 0.767972i 1.22028 + 0.0853302i
\(82\) 0.364289 + 0.0511975i 0.0402290 + 0.00565382i
\(83\) −3.68403 + 0.783065i −0.404375 + 0.0859525i −0.405609 0.914047i \(-0.632941\pi\)
0.00123405 + 0.999999i \(0.499607\pi\)
\(84\) 0.213134 + 2.02783i 0.0232548 + 0.221255i
\(85\) −3.23503 4.79612i −0.350888 0.520213i
\(86\) −0.357454 + 10.2361i −0.0385453 + 1.10379i
\(87\) −4.55093 + 7.88243i −0.487910 + 0.845086i
\(88\) 3.01792 + 1.37555i 0.321712 + 0.146635i
\(89\) −0.234148 1.32792i −0.0248196 0.140759i 0.969880 0.243584i \(-0.0783230\pi\)
−0.994699 + 0.102825i \(0.967212\pi\)
\(90\) −0.556003 + 1.37616i −0.0586079 + 0.145060i
\(91\) 4.68561 0.327650i 0.491185 0.0343470i
\(92\) −2.68070 5.49625i −0.279483 0.573024i
\(93\) −0.501117 14.3501i −0.0519634 1.48804i
\(94\) 3.47892 10.7070i 0.358823 1.10434i
\(95\) −6.35575 0.826309i −0.652087 0.0847775i
\(96\) 1.61994 + 1.17695i 0.165334 + 0.120122i
\(97\) 8.28131 + 10.5996i 0.840839 + 1.07623i 0.996089 + 0.0883501i \(0.0281594\pi\)
−0.155250 + 0.987875i \(0.549618\pi\)
\(98\) −1.03547 + 5.87247i −0.104599 + 0.593209i
\(99\) 2.58342 2.12936i 0.259643 0.214008i
\(100\) −2.17402 1.82422i −0.217402 0.182422i
\(101\) −3.69174 + 1.96293i −0.367342 + 0.195319i −0.642872 0.765973i \(-0.722257\pi\)
0.275531 + 0.961292i \(0.411146\pi\)
\(102\) −0.823496 + 7.83504i −0.0815383 + 0.775785i
\(103\) 0.797702 + 7.58963i 0.0785999 + 0.747828i 0.960854 + 0.277055i \(0.0893584\pi\)
−0.882254 + 0.470773i \(0.843975\pi\)
\(104\) 2.83981 3.63480i 0.278467 0.356421i
\(105\) 1.84582 2.36255i 0.180134 0.230561i
\(106\) 1.09878 + 10.4542i 0.106723 + 1.01540i
\(107\) −1.55822 + 14.8254i −0.150638 + 1.43323i 0.614273 + 0.789094i \(0.289449\pi\)
−0.764911 + 0.644136i \(0.777217\pi\)
\(108\) −3.51929 + 1.87124i −0.338644 + 0.180060i
\(109\) −9.48535 7.95916i −0.908532 0.762349i 0.0633070 0.997994i \(-0.479835\pi\)
−0.971839 + 0.235645i \(0.924280\pi\)
\(110\) −1.78706 4.53747i −0.170389 0.432631i
\(111\) −1.52748 + 8.66280i −0.144982 + 0.822236i
\(112\) −0.626930 0.802434i −0.0592394 0.0758229i
\(113\) 0.177337 + 0.128843i 0.0166824 + 0.0121205i 0.596095 0.802914i \(-0.296718\pi\)
−0.579413 + 0.815034i \(0.696718\pi\)
\(114\) 5.90698 + 6.42547i 0.553239 + 0.601800i
\(115\) −2.77855 + 8.55151i −0.259102 + 0.797433i
\(116\) −0.158638 4.54281i −0.0147292 0.421789i
\(117\) −2.04109 4.18485i −0.188699 0.386889i
\(118\) 0.723084 0.0505630i 0.0665653 0.00465470i
\(119\) 1.50086 3.71475i 0.137583 0.340531i
\(120\) −0.511259 2.89949i −0.0466713 0.264686i
\(121\) −1.34181 + 10.9179i −0.121983 + 0.992532i
\(122\) −0.943829 + 1.63476i −0.0854503 + 0.148004i
\(123\) −0.0257071 + 0.736155i −0.00231793 + 0.0663769i
\(124\) 4.00997 + 5.94502i 0.360106 + 0.533878i
\(125\) 1.20467 + 11.4617i 0.107749 + 1.02516i
\(126\) −1.00543 + 0.213712i −0.0895712 + 0.0190389i
\(127\) 6.38571 + 0.897453i 0.566640 + 0.0796361i 0.416675 0.909055i \(-0.363195\pi\)
0.149965 + 0.988691i \(0.452084\pi\)
\(128\) −0.997564 0.0697565i −0.0881730 0.00616566i
\(129\) −20.4589 + 1.43063i −1.80131 + 0.125960i
\(130\) −6.71631 + 0.943915i −0.589059 + 0.0827869i
\(131\) −2.09363 + 0.762020i −0.182922 + 0.0665780i −0.431857 0.901942i \(-0.642142\pi\)
0.248935 + 0.968520i \(0.419919\pi\)
\(132\) −2.10760 + 6.29775i −0.183443 + 0.548149i
\(133\) −1.98694 3.96913i −0.172290 0.344167i
\(134\) −4.36214 13.4253i −0.376831 1.15977i
\(135\) 5.63368 + 1.61543i 0.484870 + 0.139034i
\(136\) −1.72476 3.53628i −0.147897 0.303233i
\(137\) −2.14403 5.30665i −0.183177 0.453378i 0.807457 0.589927i \(-0.200843\pi\)
−0.990633 + 0.136549i \(0.956399\pi\)
\(138\) 10.3841 6.48869i 0.883951 0.552354i
\(139\) 9.30676 + 8.98744i 0.789389 + 0.762305i 0.975447 0.220234i \(-0.0706822\pi\)
−0.186058 + 0.982539i \(0.559571\pi\)
\(140\) −0.156510 + 1.48909i −0.0132275 + 0.125851i
\(141\) 22.0499 + 4.68685i 1.85694 + 0.394704i
\(142\) 9.37542 + 3.41237i 0.786768 + 0.286360i
\(143\) 14.3292 + 5.35841i 1.19827 + 0.448092i
\(144\) −0.504710 + 0.874183i −0.0420591 + 0.0728486i
\(145\) −4.47229 + 4.96698i −0.371403 + 0.412485i
\(146\) 2.68400 5.50301i 0.222129 0.455432i
\(147\) −11.9111 0.832903i −0.982408 0.0686967i
\(148\) −1.64566 4.07316i −0.135273 0.334812i
\(149\) −2.56306 1.36280i −0.209974 0.111645i 0.361154 0.932506i \(-0.382383\pi\)
−0.571128 + 0.820861i \(0.693494\pi\)
\(150\) 3.17769 4.71112i 0.259457 0.384661i
\(151\) −9.87995 7.17820i −0.804019 0.584154i 0.108072 0.994143i \(-0.465532\pi\)
−0.912090 + 0.409989i \(0.865532\pi\)
\(152\) −4.20224 1.15808i −0.340847 0.0939326i
\(153\) −3.97153 −0.321079
\(154\) 1.91310 2.78324i 0.154162 0.224280i
\(155\) 1.83096 10.3839i 0.147066 0.834055i
\(156\) 7.83266 + 4.89439i 0.627114 + 0.391865i
\(157\) −2.06625 8.28727i −0.164905 0.661396i −0.994654 0.103261i \(-0.967072\pi\)
0.829750 0.558136i \(-0.188483\pi\)
\(158\) −10.0014 9.65827i −0.795671 0.768371i
\(159\) −20.5883 + 4.37617i −1.63276 + 0.347053i
\(160\) 0.983877 + 1.09271i 0.0777823 + 0.0863860i
\(161\) −5.98585 + 1.71641i −0.471751 + 0.135272i
\(162\) −6.15634 9.12715i −0.483688 0.717097i
\(163\) −8.86429 1.88416i −0.694305 0.147579i −0.152775 0.988261i \(-0.548821\pi\)
−0.541529 + 0.840682i \(0.682154\pi\)
\(164\) −0.183935 0.318584i −0.0143629 0.0248772i
\(165\) 8.66181 4.50843i 0.674321 0.350981i
\(166\) 2.88518 + 2.42095i 0.223933 + 0.187902i
\(167\) −9.71887 6.07303i −0.752069 0.469945i 0.0989416 0.995093i \(-0.468454\pi\)
−0.851011 + 0.525148i \(0.824010\pi\)
\(168\) 1.46674 1.41641i 0.113161 0.109279i
\(169\) 4.62803 6.86134i 0.356003 0.527796i
\(170\) −1.78772 + 5.50203i −0.137112 + 0.421986i
\(171\) −2.91017 + 3.30008i −0.222547 + 0.252363i
\(172\) 8.28626 6.02032i 0.631821 0.459045i
\(173\) −12.8952 3.69765i −0.980407 0.281127i −0.253101 0.967440i \(-0.581450\pi\)
−0.727307 + 0.686313i \(0.759228\pi\)
\(174\) 9.01327 1.26673i 0.683294 0.0960308i
\(175\) −2.21381 + 1.85761i −0.167348 + 0.140422i
\(176\) −0.774067 3.22503i −0.0583475 0.243096i
\(177\) 0.252034 + 1.42936i 0.0189440 + 0.107437i
\(178\) −0.902258 + 1.00206i −0.0676271 + 0.0751075i
\(179\) 20.3498 9.06030i 1.52101 0.677199i 0.535151 0.844757i \(-0.320255\pi\)
0.985862 + 0.167558i \(0.0535882\pi\)
\(180\) 1.42674 0.409110i 0.106343 0.0304932i
\(181\) 11.9310 15.2709i 0.886821 1.13508i −0.103270 0.994653i \(-0.532931\pi\)
0.990091 0.140426i \(-0.0448471\pi\)
\(182\) −3.14294 3.49059i −0.232970 0.258740i
\(183\) −3.45298 1.53737i −0.255252 0.113645i
\(184\) −2.68070 + 5.49625i −0.197624 + 0.405189i
\(185\) −2.41975 + 5.98910i −0.177904 + 0.440328i
\(186\) −10.9995 + 9.22969i −0.806524 + 0.676754i
\(187\) 9.46604 8.98191i 0.692225 0.656822i
\(188\) −10.5791 + 3.85047i −0.771558 + 0.280824i
\(189\) 1.25424 + 3.86015i 0.0912324 + 0.280785i
\(190\) 3.26185 + 5.51713i 0.236640 + 0.400255i
\(191\) −16.5270 + 12.0076i −1.19585 + 0.868838i −0.993870 0.110551i \(-0.964738\pi\)
−0.201983 + 0.979389i \(0.564738\pi\)
\(192\) −0.0698811 2.00113i −0.00504324 0.144419i
\(193\) 4.04281 + 2.14960i 0.291008 + 0.154732i 0.608557 0.793510i \(-0.291749\pi\)
−0.317549 + 0.948242i \(0.602860\pi\)
\(194\) 3.25411 13.0515i 0.233631 0.937044i
\(195\) −3.28544 13.1772i −0.235275 0.943638i
\(196\) 5.26507 2.79949i 0.376076 0.199963i
\(197\) −4.85682 8.41225i −0.346034 0.599348i 0.639507 0.768785i \(-0.279138\pi\)
−0.985541 + 0.169437i \(0.945805\pi\)
\(198\) −3.26847 0.724797i −0.232280 0.0515091i
\(199\) −22.9308 8.34614i −1.62552 0.591642i −0.641100 0.767458i \(-0.721521\pi\)
−0.984423 + 0.175816i \(0.943744\pi\)
\(200\) −0.0990440 + 2.83625i −0.00700347 + 0.200553i
\(201\) 25.8219 11.4966i 1.82134 0.810911i
\(202\) 3.81967 + 1.70063i 0.268751 + 0.119656i
\(203\) −4.58373 0.644201i −0.321715 0.0452141i
\(204\) 6.68109 4.17481i 0.467770 0.292295i
\(205\) −0.130857 + 0.524840i −0.00913948 + 0.0366564i
\(206\) 5.48959 5.30124i 0.382478 0.369355i
\(207\) 3.80032 + 4.86419i 0.264141 + 0.338085i
\(208\) −4.61262 −0.319828
\(209\) −0.527049 14.4472i −0.0364568 0.999335i
\(210\) −2.99811 −0.206889
\(211\) 13.6690 + 17.4955i 0.941012 + 1.20444i 0.978730 + 0.205153i \(0.0657690\pi\)
−0.0377176 + 0.999288i \(0.512009\pi\)
\(212\) 7.56151 7.30207i 0.519327 0.501508i
\(213\) −4.83305 + 19.3843i −0.331155 + 1.32819i
\(214\) 12.6419 7.89956i 0.864185 0.540003i
\(215\) −14.9136 2.09598i −1.01710 0.142944i
\(216\) 3.64125 + 1.62119i 0.247756 + 0.110308i
\(217\) 6.67093 2.97009i 0.452852 0.201623i
\(218\) −0.432134 + 12.3747i −0.0292678 + 0.838121i
\(219\) 11.5204 + 4.19307i 0.778475 + 0.283342i
\(220\) −2.47535 + 4.20177i −0.166888 + 0.283283i
\(221\) −9.07411 15.7168i −0.610391 1.05723i
\(222\) 7.76679 4.12968i 0.521273 0.277166i
\(223\) 3.55670 + 14.2651i 0.238174 + 0.955264i 0.963682 + 0.267051i \(0.0860492\pi\)
−0.725508 + 0.688213i \(0.758395\pi\)
\(224\) −0.246350 + 0.988056i −0.0164600 + 0.0660173i
\(225\) 2.52939 + 1.34490i 0.168626 + 0.0896600i
\(226\) −0.00764998 0.219067i −0.000508869 0.0145721i
\(227\) 5.03071 3.65502i 0.333900 0.242592i −0.408184 0.912900i \(-0.633838\pi\)
0.742084 + 0.670307i \(0.233838\pi\)
\(228\) 1.42664 8.61067i 0.0944814 0.570256i
\(229\) −6.70990 20.6510i −0.443403 1.36465i −0.884226 0.467060i \(-0.845313\pi\)
0.440823 0.897594i \(-0.354687\pi\)
\(230\) 8.44933 3.07531i 0.557133 0.202780i
\(231\) 5.94291 + 3.22718i 0.391015 + 0.212333i
\(232\) −3.48211 + 2.92184i −0.228612 + 0.191828i
\(233\) 4.00400 9.91024i 0.262311 0.649242i −0.737344 0.675517i \(-0.763920\pi\)
0.999655 + 0.0262757i \(0.00836479\pi\)
\(234\) −2.04109 + 4.18485i −0.133430 + 0.273572i
\(235\) 15.1224 + 6.73294i 0.986479 + 0.439209i
\(236\) −0.485019 0.538669i −0.0315721 0.0350643i
\(237\) 17.1400 21.9382i 1.11336 1.42504i
\(238\) −3.85128 + 1.10434i −0.249642 + 0.0715836i
\(239\) 4.09994 1.82541i 0.265203 0.118076i −0.269828 0.962909i \(-0.586967\pi\)
0.535031 + 0.844833i \(0.320300\pi\)
\(240\) −1.97007 + 2.18798i −0.127167 + 0.141234i
\(241\) −0.796551 4.51746i −0.0513103 0.290995i 0.948345 0.317240i \(-0.102756\pi\)
−0.999656 + 0.0262449i \(0.991645\pi\)
\(242\) 9.42949 5.66434i 0.606150 0.364118i
\(243\) 7.72712 6.48382i 0.495695 0.415937i
\(244\) 1.86929 0.262711i 0.119669 0.0168184i
\(245\) −8.42831 2.41678i −0.538465 0.154402i
\(246\) 0.595925 0.432965i 0.0379948 0.0276048i
\(247\) −19.7088 3.97665i −1.25404 0.253028i
\(248\) 2.21596 6.82001i 0.140713 0.433071i
\(249\) −4.21717 + 6.25221i −0.267252 + 0.396218i
\(250\) 8.29026 8.00581i 0.524322 0.506332i
\(251\) −1.93950 1.21194i −0.122420 0.0764968i 0.467327 0.884085i \(-0.345217\pi\)
−0.589747 + 0.807588i \(0.700773\pi\)
\(252\) 0.787414 + 0.660719i 0.0496024 + 0.0416214i
\(253\) −20.0587 2.99896i −1.26108 0.188543i
\(254\) −3.22423 5.58453i −0.202306 0.350405i
\(255\) −11.3308 2.40844i −0.709564 0.150822i
\(256\) 0.559193 + 0.829038i 0.0349496 + 0.0518148i
\(257\) 10.5116 3.01415i 0.655695 0.188018i 0.0687370 0.997635i \(-0.478103\pi\)
0.586958 + 0.809617i \(0.300325\pi\)
\(258\) 13.7231 + 15.2411i 0.854364 + 0.948867i
\(259\) −4.37570 + 0.930084i −0.271893 + 0.0577926i
\(260\) 4.87879 + 4.71139i 0.302570 + 0.292188i
\(261\) 1.11003 + 4.45210i 0.0687093 + 0.275578i
\(262\) 1.88945 + 1.18066i 0.116731 + 0.0729414i
\(263\) −0.715818 + 4.05960i −0.0441392 + 0.250326i −0.998891 0.0470771i \(-0.985009\pi\)
0.954752 + 0.297403i \(0.0961205\pi\)
\(264\) 6.26026 2.21647i 0.385292 0.136414i
\(265\) −15.4563 −0.949471
\(266\) −1.90443 + 4.00937i −0.116768 + 0.245830i
\(267\) −2.18433 1.58701i −0.133679 0.0971233i
\(268\) −7.89367 + 11.7028i −0.482182 + 0.714865i
\(269\) 3.13411 + 1.66643i 0.191090 + 0.101604i 0.562260 0.826961i \(-0.309932\pi\)
−0.371170 + 0.928565i \(0.621043\pi\)
\(270\) −2.19546 5.43396i −0.133612 0.330700i
\(271\) 30.0772 + 2.10320i 1.82706 + 0.127760i 0.941552 0.336868i \(-0.109367\pi\)
0.885506 + 0.464628i \(0.153812\pi\)
\(272\) −1.72476 + 3.53628i −0.104579 + 0.214418i
\(273\) 6.29328 6.98939i 0.380886 0.423017i
\(274\) −2.86170 + 4.95662i −0.172882 + 0.299440i
\(275\) −9.07033 + 2.51487i −0.546961 + 0.151652i
\(276\) −11.5062 4.18793i −0.692594 0.252084i
\(277\) −14.5934 3.10192i −0.876831 0.186376i −0.252557 0.967582i \(-0.581272\pi\)
−0.624274 + 0.781206i \(0.714605\pi\)
\(278\) 1.35238 12.8670i 0.0811104 0.771714i
\(279\) −5.20697 5.02831i −0.311733 0.301037i
\(280\) 1.26978 0.793445i 0.0758838 0.0474174i
\(281\) −0.248560 0.615208i −0.0148279 0.0367003i 0.919588 0.392883i \(-0.128522\pi\)
−0.934416 + 0.356183i \(0.884078\pi\)
\(282\) −9.88199 20.2611i −0.588464 1.20653i
\(283\) −13.1317 3.76545i −0.780599 0.223833i −0.138405 0.990376i \(-0.544198\pi\)
−0.642193 + 0.766543i \(0.721975\pi\)
\(284\) −3.08310 9.48880i −0.182948 0.563057i
\(285\) −10.3040 + 7.65036i −0.610357 + 0.453168i
\(286\) −4.59947 14.5905i −0.271972 0.862757i
\(287\) −0.352011 + 0.128122i −0.0207786 + 0.00756278i
\(288\) 0.999596 0.140484i 0.0589018 0.00827810i
\(289\) 1.51624 0.106026i 0.0891906 0.00623681i
\(290\) 6.66745 + 0.466233i 0.391526 + 0.0273782i
\(291\) 26.6717 + 3.74846i 1.56352 + 0.219739i
\(292\) −5.98887 + 1.27297i −0.350472 + 0.0744951i
\(293\) −0.0306143 0.291276i −0.00178851 0.0170165i 0.993591 0.113033i \(-0.0360565\pi\)
−0.995380 + 0.0960164i \(0.969390\pi\)
\(294\) 6.67685 + 9.89883i 0.389402 + 0.577312i
\(295\) −0.0371961 + 1.06516i −0.00216564 + 0.0620158i
\(296\) −2.19652 + 3.80449i −0.127670 + 0.221132i
\(297\) −1.49725 + 13.1345i −0.0868790 + 0.762141i
\(298\) 0.504074 + 2.85875i 0.0292002 + 0.165603i
\(299\) −10.5665 + 26.1529i −0.611075 + 1.51246i
\(300\) −5.66879 + 0.396401i −0.327288 + 0.0228862i
\(301\) −4.57215 9.37429i −0.263534 0.540325i
\(302\) 0.426203 + 12.2048i 0.0245252 + 0.702310i
\(303\) −2.58713 + 7.96238i −0.148627 + 0.457427i
\(304\) 1.67458 + 4.02440i 0.0960438 + 0.230815i
\(305\) −2.24549 1.63144i −0.128576 0.0934162i
\(306\) 2.44512 + 3.12961i 0.139778 + 0.178908i
\(307\) −4.27868 + 24.2656i −0.244197 + 1.38491i 0.578153 + 0.815929i \(0.303774\pi\)
−0.822350 + 0.568982i \(0.807337\pi\)
\(308\) −3.37104 + 0.205989i −0.192083 + 0.0117373i
\(309\) 11.7058 + 9.82233i 0.665919 + 0.558773i
\(310\) −9.30988 + 4.95015i −0.528765 + 0.281150i
\(311\) −0.649531 + 6.17987i −0.0368315 + 0.350428i 0.960550 + 0.278108i \(0.0897072\pi\)
−0.997381 + 0.0723208i \(0.976959\pi\)
\(312\) −0.965435 9.18550i −0.0546570 0.520027i
\(313\) 9.20044 11.7760i 0.520039 0.665620i −0.454262 0.890868i \(-0.650097\pi\)
0.974301 + 0.225248i \(0.0723192\pi\)
\(314\) −5.25835 + 6.73038i −0.296746 + 0.379817i
\(315\) −0.157984 1.50312i −0.00890140 0.0846912i
\(316\) −1.45332 + 13.8275i −0.0817559 + 0.777855i
\(317\) −25.6656 + 13.6466i −1.44152 + 0.766472i −0.991933 0.126762i \(-0.959542\pi\)
−0.449591 + 0.893234i \(0.648430\pi\)
\(318\) 16.1239 + 13.5295i 0.904182 + 0.758698i
\(319\) −12.7145 8.10104i −0.711874 0.453571i
\(320\) 0.255329 1.44804i 0.0142733 0.0809481i
\(321\) 18.3771 + 23.5216i 1.02571 + 1.31285i
\(322\) 5.03781 + 3.66018i 0.280746 + 0.203974i
\(323\) −10.4182 + 13.6228i −0.579686 + 0.757994i
\(324\) −3.40207 + 10.4705i −0.189004 + 0.581694i
\(325\) 0.456853 + 13.0825i 0.0253416 + 0.725689i
\(326\) 3.97266 + 8.14516i 0.220025 + 0.451119i
\(327\) −24.7332 + 1.72952i −1.36775 + 0.0956425i
\(328\) −0.137806 + 0.341082i −0.00760907 + 0.0188331i
\(329\) 1.99072 + 11.2899i 0.109752 + 0.622433i
\(330\) −8.88543 4.04994i −0.489127 0.222942i
\(331\) 10.8057 18.7161i 0.593936 1.02873i −0.399760 0.916620i \(-0.630907\pi\)
0.993696 0.112108i \(-0.0357602\pi\)
\(332\) 0.131443 3.76404i 0.00721388 0.206579i
\(333\) 2.47970 + 3.67631i 0.135887 + 0.201460i
\(334\) 1.19793 + 11.3975i 0.0655476 + 0.623644i
\(335\) 20.3026 4.31545i 1.10925 0.235778i
\(336\) −2.01916 0.283775i −0.110154 0.0154812i
\(337\) −16.0383 1.12151i −0.873661 0.0610923i −0.374118 0.927381i \(-0.622054\pi\)
−0.499543 + 0.866289i \(0.666499\pi\)
\(338\) −8.25611 + 0.577324i −0.449073 + 0.0314023i
\(339\) 0.434645 0.0610853i 0.0236067 0.00331770i
\(340\) 5.43628 1.97865i 0.294824 0.107307i
\(341\) 23.7826 + 0.208904i 1.28790 + 0.0113128i
\(342\) 4.39218 + 0.261517i 0.237502 + 0.0141412i
\(343\) −4.07913 12.5543i −0.220252 0.677866i
\(344\) −9.84561 2.82318i −0.530840 0.152216i
\(345\) 7.89259 + 16.1822i 0.424923 + 0.871220i
\(346\) 5.02532 + 12.4381i 0.270163 + 0.668676i
\(347\) 13.6467 8.52741i 0.732594 0.457775i −0.111641 0.993749i \(-0.535611\pi\)
0.844235 + 0.535973i \(0.180055\pi\)
\(348\) −6.54732 6.32268i −0.350973 0.338931i
\(349\) 3.70431 35.2442i 0.198287 1.88658i −0.215946 0.976405i \(-0.569283\pi\)
0.414233 0.910171i \(-0.364050\pi\)
\(350\) 2.82677 + 0.600849i 0.151097 + 0.0321167i
\(351\) 17.2764 + 6.28811i 0.922148 + 0.335634i
\(352\) −2.06480 + 2.59550i −0.110054 + 0.138341i
\(353\) 5.38662 9.32990i 0.286701 0.496580i −0.686319 0.727300i \(-0.740775\pi\)
0.973020 + 0.230720i \(0.0741081\pi\)
\(354\) 0.971180 1.07860i 0.0516176 0.0573272i
\(355\) −6.43098 + 13.1855i −0.341321 + 0.699811i
\(356\) 1.34512 + 0.0940598i 0.0712911 + 0.00498516i
\(357\) −3.00524 7.43824i −0.159054 0.393673i
\(358\) −19.6682 10.4578i −1.03950 0.552710i
\(359\) −13.0273 + 19.3138i −0.687557 + 1.01935i 0.310085 + 0.950709i \(0.399643\pi\)
−0.997642 + 0.0686363i \(0.978135\pi\)
\(360\) −1.20077 0.872409i −0.0632861 0.0459800i
\(361\) 3.68561 + 18.6391i 0.193979 + 0.981006i
\(362\) −19.3791 −1.01854
\(363\) 13.2535 + 17.5922i 0.695629 + 0.923349i
\(364\) −0.815634 + 4.62569i −0.0427508 + 0.242452i
\(365\) 7.63468 + 4.77068i 0.399617 + 0.249709i
\(366\) 0.914406 + 3.66748i 0.0477968 + 0.191702i
\(367\) −8.99672 8.68804i −0.469625 0.453512i 0.421794 0.906692i \(-0.361401\pi\)
−0.891419 + 0.453180i \(0.850289\pi\)
\(368\) 5.98151 1.27141i 0.311808 0.0662768i
\(369\) 0.248471 + 0.275955i 0.0129349 + 0.0143656i
\(370\) 6.20923 1.78047i 0.322802 0.0925621i
\(371\) −5.98568 8.87414i −0.310761 0.460722i
\(372\) 14.0451 + 2.98537i 0.728203 + 0.154784i
\(373\) −8.43082 14.6026i −0.436532 0.756095i 0.560888 0.827892i \(-0.310460\pi\)
−0.997419 + 0.0717970i \(0.977127\pi\)
\(374\) −12.9057 1.92953i −0.667339 0.0997734i
\(375\) 17.6778 + 14.8335i 0.912879 + 0.765996i
\(376\) 9.54733 + 5.96584i 0.492366 + 0.307664i
\(377\) −15.0824 + 14.5649i −0.776784 + 0.750131i
\(378\) 2.26965 3.36490i 0.116738 0.173072i
\(379\) 3.26675 10.0540i 0.167802 0.516440i −0.831430 0.555629i \(-0.812477\pi\)
0.999232 + 0.0391889i \(0.0124774\pi\)
\(380\) 2.33936 5.96706i 0.120007 0.306104i
\(381\) 10.4461 7.58954i 0.535171 0.388824i
\(382\) 19.6372 + 5.63086i 1.00472 + 0.288100i
\(383\) 0.283869 0.0398951i 0.0145050 0.00203855i −0.131917 0.991261i \(-0.542113\pi\)
0.146422 + 0.989222i \(0.453224\pi\)
\(384\) −1.53389 + 1.28709i −0.0782761 + 0.0656814i
\(385\) 3.77597 + 3.22535i 0.192441 + 0.164379i
\(386\) −0.795095 4.50921i −0.0404693 0.229513i
\(387\) −6.91805 + 7.68327i −0.351664 + 0.390563i
\(388\) −12.2882 + 5.47104i −0.623837 + 0.277750i
\(389\) −11.5668 + 3.31673i −0.586461 + 0.168165i −0.555730 0.831363i \(-0.687561\pi\)
−0.0307308 + 0.999528i \(0.509783\pi\)
\(390\) −8.36104 + 10.7016i −0.423378 + 0.541899i
\(391\) 16.0992 + 17.8800i 0.814171 + 0.904228i
\(392\) −5.44752 2.42539i −0.275142 0.122501i
\(393\) −1.95568 + 4.00974i −0.0986509 + 0.202264i
\(394\) −3.63879 + 9.00632i −0.183320 + 0.453732i
\(395\) 15.6607 13.1409i 0.787977 0.661191i
\(396\) 1.44112 + 3.02182i 0.0724191 + 0.151852i
\(397\) 0.0531407 0.0193416i 0.00266705 0.000970728i −0.340686 0.940177i \(-0.610659\pi\)
0.343353 + 0.939206i \(0.388437\pi\)
\(398\) 7.54078 + 23.2081i 0.377985 + 1.16332i
\(399\) −8.38280 2.95328i −0.419665 0.147849i
\(400\) 2.29597 1.66812i 0.114799 0.0834061i
\(401\) −0.485562 13.9047i −0.0242478 0.694367i −0.949272 0.314457i \(-0.898177\pi\)
0.925024 0.379909i \(-0.124045\pi\)
\(402\) −24.9570 13.2699i −1.24474 0.661842i
\(403\) 8.00206 32.0945i 0.398611 1.59874i
\(404\) −1.01151 4.05695i −0.0503246 0.201841i
\(405\) 14.2931 7.59977i 0.710229 0.377635i
\(406\) 2.31439 + 4.00864i 0.114861 + 0.198945i
\(407\) −14.2245 3.15436i −0.705084 0.156356i
\(408\) −7.40309 2.69450i −0.366507 0.133398i
\(409\) 0.547680 15.6835i 0.0270810 0.775499i −0.907563 0.419915i \(-0.862060\pi\)
0.934644 0.355584i \(-0.115718\pi\)
\(410\) 0.494144 0.220007i 0.0244040 0.0108654i
\(411\) −10.4695 4.66132i −0.516422 0.229926i
\(412\) −7.55717 1.06209i −0.372315 0.0523254i
\(413\) −0.625959 + 0.391143i −0.0308014 + 0.0192469i
\(414\) 1.49332 5.98939i 0.0733928 0.294362i
\(415\) −3.98367 + 3.84698i −0.195550 + 0.188841i
\(416\) 2.83981 + 3.63480i 0.139233 + 0.178210i
\(417\) 25.9063 1.26864
\(418\) −11.0601 + 9.30992i −0.540966 + 0.455363i
\(419\) 7.16181 0.349877 0.174939 0.984579i \(-0.444027\pi\)
0.174939 + 0.984579i \(0.444027\pi\)
\(420\) 1.84582 + 2.36255i 0.0900669 + 0.115280i
\(421\) 5.59569 5.40370i 0.272717 0.263360i −0.545705 0.837977i \(-0.683738\pi\)
0.818422 + 0.574617i \(0.194849\pi\)
\(422\) 5.37118 21.5426i 0.261465 1.04868i
\(423\) 9.63726 6.02203i 0.468580 0.292801i
\(424\) −10.4094 1.46295i −0.505527 0.0710472i
\(425\) 10.2006 + 4.54160i 0.494802 + 0.220300i
\(426\) 18.2506 8.12567i 0.884242 0.393690i
\(427\) 0.0670841 1.92104i 0.00324643 0.0929656i
\(428\) −14.0081 5.09853i −0.677107 0.246447i
\(429\) 28.0927 12.2131i 1.35633 0.589656i
\(430\) 7.53010 + 13.0425i 0.363134 + 0.628966i
\(431\) 0.0587401 0.0312327i 0.00282941 0.00150442i −0.468056 0.883699i \(-0.655046\pi\)
0.470886 + 0.882194i \(0.343934\pi\)
\(432\) −0.964263 3.86745i −0.0463931 0.186073i
\(433\) −4.48277 + 17.9794i −0.215428 + 0.864035i 0.761098 + 0.648637i \(0.224661\pi\)
−0.976526 + 0.215398i \(0.930895\pi\)
\(434\) −6.44750 3.42820i −0.309490 0.164559i
\(435\) 0.467067 + 13.3750i 0.0223941 + 0.641284i
\(436\) 10.0175 7.27810i 0.479749 0.348558i
\(437\) 26.6539 0.275663i 1.27503 0.0131868i
\(438\) −3.78846 11.6597i −0.181020 0.557122i
\(439\) 18.8196 6.84976i 0.898208 0.326921i 0.148674 0.988886i \(-0.452500\pi\)
0.749535 + 0.661965i \(0.230277\pi\)
\(440\) 4.83502 0.636262i 0.230500 0.0303326i
\(441\) −4.61100 + 3.86908i −0.219571 + 0.184242i
\(442\) −6.79844 + 16.8267i −0.323369 + 0.800366i
\(443\) 5.27208 10.8094i 0.250484 0.513569i −0.736090 0.676884i \(-0.763330\pi\)
0.986574 + 0.163315i \(0.0522187\pi\)
\(444\) −8.03594 3.57783i −0.381369 0.169796i
\(445\) −1.32666 1.47341i −0.0628898 0.0698463i
\(446\) 9.05136 11.5852i 0.428594 0.548576i
\(447\) −5.58736 + 1.60215i −0.264273 + 0.0757791i
\(448\) 0.930267 0.414181i 0.0439510 0.0195682i
\(449\) −18.2983 + 20.3223i −0.863551 + 0.959071i −0.999499 0.0316451i \(-0.989925\pi\)
0.135948 + 0.990716i \(0.456592\pi\)
\(450\) −0.497452 2.82119i −0.0234501 0.132992i
\(451\) −1.21632 0.0957960i −0.0572741 0.00451086i
\(452\) −0.167917 + 0.140899i −0.00789816 + 0.00662734i
\(453\) −24.2153 + 3.40324i −1.13774 + 0.159898i
\(454\) −5.97741 1.71399i −0.280534 0.0804417i
\(455\) 5.58744 4.05951i 0.261943 0.190313i
\(456\) −7.66363 + 4.17705i −0.358882 + 0.195608i
\(457\) −0.322823 + 0.993547i −0.0151010 + 0.0464762i −0.958323 0.285687i \(-0.907778\pi\)
0.943222 + 0.332163i \(0.107778\pi\)
\(458\) −12.1421 + 18.0015i −0.567365 + 0.841154i
\(459\) 11.2808 10.8938i 0.526544 0.508477i
\(460\) −7.62530 4.76482i −0.355532 0.222161i
\(461\) 6.87899 + 5.77216i 0.320386 + 0.268836i 0.788769 0.614690i \(-0.210719\pi\)
−0.468383 + 0.883526i \(0.655163\pi\)
\(462\) −1.11577 6.66993i −0.0519104 0.310313i
\(463\) 2.66274 + 4.61200i 0.123748 + 0.214338i 0.921243 0.388988i \(-0.127175\pi\)
−0.797495 + 0.603326i \(0.793842\pi\)
\(464\) 4.44624 + 0.945078i 0.206412 + 0.0438742i
\(465\) −11.8062 17.5035i −0.547501 0.811704i
\(466\) −10.2745 + 2.94616i −0.475956 + 0.136478i
\(467\) 25.3825 + 28.1902i 1.17456 + 1.30449i 0.943433 + 0.331563i \(0.107576\pi\)
0.231131 + 0.972923i \(0.425757\pi\)
\(468\) 4.55432 0.968051i 0.210524 0.0447482i
\(469\) 10.3402 + 9.98541i 0.477466 + 0.461083i
\(470\) −4.00467 16.0619i −0.184722 0.740878i
\(471\) −14.5034 9.06271i −0.668280 0.417587i
\(472\) −0.125869 + 0.713838i −0.00579358 + 0.0328571i
\(473\) −0.887297 33.9585i −0.0407980 1.56142i
\(474\) −27.8400 −1.27873
\(475\) 11.2483 5.14812i 0.516109 0.236212i
\(476\) 3.24132 + 2.35495i 0.148565 + 0.107939i
\(477\) −5.93346 + 8.79671i −0.271674 + 0.402774i
\(478\) −3.96262 2.10696i −0.181246 0.0963702i
\(479\) −8.76806 21.7017i −0.400623 0.991577i −0.983806 0.179236i \(-0.942637\pi\)
0.583183 0.812341i \(-0.301807\pi\)
\(480\) 2.93705 + 0.205379i 0.134057 + 0.00937421i
\(481\) −8.88292 + 18.2127i −0.405026 + 0.830427i
\(482\) −3.06940 + 3.40892i −0.139808 + 0.155272i
\(483\) −6.23440 + 10.7983i −0.283675 + 0.491340i
\(484\) −10.2689 3.94322i −0.466770 0.179237i
\(485\) 18.5854 + 6.76454i 0.843921 + 0.307162i
\(486\) −9.86661 2.09721i −0.447558 0.0951315i
\(487\) 1.23841 11.7826i 0.0561175 0.533923i −0.929963 0.367653i \(-0.880161\pi\)
0.986080 0.166269i \(-0.0531721\pi\)
\(488\) −1.35787 1.31128i −0.0614678 0.0593587i
\(489\) −15.3887 + 9.61590i −0.695899 + 0.434846i
\(490\) 3.28454 + 8.12952i 0.148380 + 0.367254i
\(491\) 10.7130 + 21.9648i 0.483469 + 0.991259i 0.991523 + 0.129934i \(0.0414764\pi\)
−0.508053 + 0.861326i \(0.669635\pi\)
\(492\) −0.708069 0.203036i −0.0319222 0.00915355i
\(493\) 5.52659 + 17.0091i 0.248905 + 0.766052i
\(494\) 9.00028 + 17.9790i 0.404942 + 0.808913i
\(495\) 1.56224 4.66817i 0.0702176 0.209818i
\(496\) −6.73852 + 2.45262i −0.302569 + 0.110126i
\(497\) −10.0609 + 1.41396i −0.451291 + 0.0634249i
\(498\) 7.52316 0.526071i 0.337121 0.0235738i
\(499\) −35.1968 2.46120i −1.57563 0.110179i −0.745021 0.667041i \(-0.767561\pi\)
−0.830605 + 0.556862i \(0.812005\pi\)
\(500\) −11.4127 1.60394i −0.510390 0.0717306i
\(501\) −22.4461 + 4.77106i −1.00282 + 0.213155i
\(502\) 0.239059 + 2.27449i 0.0106697 + 0.101516i
\(503\) −8.50149 12.6040i −0.379063 0.561984i 0.590435 0.807085i \(-0.298956\pi\)
−0.969497 + 0.245102i \(0.921179\pi\)
\(504\) 0.0358730 1.02727i 0.00159791 0.0457582i
\(505\) −3.07394 + 5.32423i −0.136789 + 0.236925i
\(506\) 9.98615 + 17.6528i 0.443938 + 0.784763i
\(507\) −2.87770 16.3203i −0.127803 0.724808i
\(508\) −2.41564 + 5.97891i −0.107177 + 0.265271i
\(509\) 9.94244 0.695243i 0.440691 0.0308161i 0.152312 0.988332i \(-0.451328\pi\)
0.288379 + 0.957516i \(0.406884\pi\)
\(510\) 5.07807 + 10.4116i 0.224861 + 0.461033i
\(511\) 0.217589 + 6.23093i 0.00962557 + 0.275640i
\(512\) 0.309017 0.951057i 0.0136568 0.0420312i
\(513\) −0.785876 17.3561i −0.0346973 0.766291i
\(514\) −8.84677 6.42755i −0.390214 0.283507i
\(515\) 6.90841 + 8.84236i 0.304421 + 0.389641i
\(516\) 3.56133 20.1973i 0.156779 0.889136i
\(517\) −9.35090 + 36.1487i −0.411252 + 1.58982i
\(518\) 3.42687 + 2.87548i 0.150568 + 0.126341i
\(519\) −23.7172 + 12.6107i −1.04107 + 0.553547i
\(520\) 0.708945 6.74516i 0.0310893 0.295795i
\(521\) 3.88502 + 36.9635i 0.170206 + 1.61940i 0.662561 + 0.749008i \(0.269469\pi\)
−0.492355 + 0.870394i \(0.663864\pi\)
\(522\) 2.82490 3.61570i 0.123642 0.158255i
\(523\) 3.66702 4.69357i 0.160348 0.205236i −0.701127 0.713037i \(-0.747319\pi\)
0.861474 + 0.507801i \(0.169542\pi\)
\(524\) −0.232889 2.21579i −0.0101738 0.0967974i
\(525\) −0.604870 + 5.75495i −0.0263987 + 0.251167i
\(526\) 3.63971 1.93527i 0.158699 0.0843818i
\(527\) −21.6132 18.1356i −0.941486 0.790001i
\(528\) −5.60081 3.56856i −0.243744 0.155301i
\(529\) 2.49966 14.1763i 0.108681 0.616360i
\(530\) 9.51583 + 12.1797i 0.413341 + 0.529052i
\(531\) 0.591940 + 0.430069i 0.0256880 + 0.0186634i
\(532\) 4.33191 0.967706i 0.187812 0.0419554i
\(533\) −0.524353 + 1.61379i −0.0227122 + 0.0699011i
\(534\) 0.0942279 + 2.69833i 0.00407764 + 0.116768i
\(535\) 9.60871 + 19.7008i 0.415421 + 0.851739i
\(536\) 14.0818 0.984695i 0.608241 0.0425323i
\(537\) 16.7088 41.3557i 0.721038 1.78463i
\(538\) −0.616381 3.49567i −0.0265741 0.150709i
\(539\) 2.23997 19.6500i 0.0964822 0.846384i
\(540\) −2.93036 + 5.07553i −0.126102 + 0.218416i
\(541\) −0.0492654 + 1.41078i −0.00211808 + 0.0606540i −0.999990 0.00455643i \(-0.998550\pi\)
0.997872 + 0.0652104i \(0.0207719\pi\)
\(542\) −16.8600 24.9960i −0.724199 1.07367i
\(543\) −4.05610 38.5912i −0.174064 1.65611i
\(544\) 3.84849 0.818022i 0.165003 0.0350724i
\(545\) −18.0294 2.53387i −0.772297 0.108539i
\(546\) −9.38224 0.656070i −0.401523 0.0280772i
\(547\) −39.9608 + 2.79433i −1.70860 + 0.119477i −0.890318 0.455339i \(-0.849518\pi\)
−0.818283 + 0.574816i \(0.805074\pi\)
\(548\) 5.66771 0.796545i 0.242113 0.0340267i
\(549\) −1.79053 + 0.651699i −0.0764178 + 0.0278138i
\(550\) 7.56599 + 5.59921i 0.322615 + 0.238751i
\(551\) 18.1831 + 7.87134i 0.774626 + 0.335330i
\(552\) 3.78381 + 11.6454i 0.161050 + 0.495660i
\(553\) 13.6097 + 3.90250i 0.578741 + 0.165951i
\(554\) 6.54023 + 13.4095i 0.277868 + 0.569714i
\(555\) 4.84520 + 11.9923i 0.205667 + 0.509045i
\(556\) −10.9720 + 6.85606i −0.465316 + 0.290762i
\(557\) 14.9798 + 14.4658i 0.634714 + 0.612936i 0.940757 0.339082i \(-0.110116\pi\)
−0.306043 + 0.952018i \(0.599005\pi\)
\(558\) −0.756633 + 7.19888i −0.0320308 + 0.304753i
\(559\) −46.2118 9.82263i −1.95455 0.415453i
\(560\) −1.40700 0.512105i −0.0594565 0.0216404i
\(561\) 1.14122 26.1041i 0.0481824 1.10212i
\(562\) −0.331762 + 0.574628i −0.0139945 + 0.0242392i
\(563\) 25.8958 28.7602i 1.09138 1.21210i 0.115609 0.993295i \(-0.463118\pi\)
0.975769 0.218803i \(-0.0702153\pi\)
\(564\) −9.88199 + 20.2611i −0.416107 + 0.853145i
\(565\) 0.321523 + 0.0224831i 0.0135266 + 0.000945870i
\(566\) 5.11746 + 12.6662i 0.215103 + 0.532399i
\(567\) 9.89859 + 5.26317i 0.415702 + 0.221032i
\(568\) −5.57913 + 8.27140i −0.234095 + 0.347060i
\(569\) 24.0015 + 17.4381i 1.00620 + 0.731044i 0.963408 0.268040i \(-0.0863758\pi\)
0.0427885 + 0.999084i \(0.486376\pi\)
\(570\) 12.3723 + 3.40964i 0.518220 + 0.142814i
\(571\) 23.0545 0.964801 0.482401 0.875951i \(-0.339765\pi\)
0.482401 + 0.875951i \(0.339765\pi\)
\(572\) −8.66579 + 12.6073i −0.362335 + 0.527136i
\(573\) −7.10310 + 40.2837i −0.296736 + 1.68287i
\(574\) 0.317681 + 0.198509i 0.0132597 + 0.00828561i
\(575\) −4.19847 16.8391i −0.175088 0.702241i
\(576\) −0.726116 0.701202i −0.0302548 0.0292167i
\(577\) 7.96132 1.69223i 0.331434 0.0704485i −0.0391892 0.999232i \(-0.512477\pi\)
0.370623 + 0.928783i \(0.379144\pi\)
\(578\) −1.01704 1.12954i −0.0423033 0.0469826i
\(579\) 8.81315 2.52713i 0.366262 0.105024i
\(580\) −3.73749 5.54106i −0.155191 0.230080i
\(581\) −3.75146 0.797398i −0.155637 0.0330816i
\(582\) −13.4669 23.3254i −0.558221 0.966867i
\(583\) −5.75217 34.3857i −0.238231 1.42411i
\(584\) 4.69023 + 3.93557i 0.194083 + 0.162855i
\(585\) −5.80591 3.62793i −0.240045 0.149997i
\(586\) −0.210680 + 0.203452i −0.00870312 + 0.00840451i
\(587\) 24.8592 36.8553i 1.02605 1.52118i 0.183170 0.983081i \(-0.441364\pi\)
0.842880 0.538101i \(-0.180858\pi\)
\(588\) 3.68971 11.3558i 0.152161 0.468304i
\(589\) −30.9068 + 4.67010i −1.27349 + 0.192428i
\(590\) 0.862255 0.626465i 0.0354985 0.0257912i
\(591\) −18.6967 5.36118i −0.769078 0.220530i
\(592\) 4.35029 0.611394i 0.178796 0.0251281i
\(593\) 7.39597 6.20596i 0.303716 0.254848i −0.478173 0.878266i \(-0.658701\pi\)
0.781889 + 0.623418i \(0.214256\pi\)
\(594\) 11.2719 6.90656i 0.462492 0.283379i
\(595\) −1.02297 5.80156i −0.0419378 0.237841i
\(596\) 1.94238 2.15724i 0.0795632 0.0883639i
\(597\) −44.6380 + 19.8741i −1.82691 + 0.813393i
\(598\) 27.1142 7.77486i 1.10878 0.317938i
\(599\) 20.7825 26.6004i 0.849150 1.08686i −0.146077 0.989273i \(-0.546665\pi\)
0.995227 0.0975895i \(-0.0311132\pi\)
\(600\) 3.80243 + 4.22302i 0.155233 + 0.172404i
\(601\) −25.1574 11.2008i −1.02619 0.456891i −0.176574 0.984287i \(-0.556502\pi\)
−0.849619 + 0.527396i \(0.823168\pi\)
\(602\) −4.57215 + 9.37429i −0.186347 + 0.382068i
\(603\) 5.33782 13.2116i 0.217373 0.538017i
\(604\) 9.35515 7.84991i 0.380656 0.319408i
\(605\) 6.83384 + 14.6596i 0.277835 + 0.595997i
\(606\) 7.86724 2.86344i 0.319585 0.116319i
\(607\) −5.15839 15.8759i −0.209373 0.644383i −0.999505 0.0314469i \(-0.989988\pi\)
0.790133 0.612936i \(-0.210012\pi\)
\(608\) 2.14029 3.79725i 0.0868004 0.153999i
\(609\) −7.49833 + 5.44786i −0.303848 + 0.220758i
\(610\) 0.0968663 + 2.77389i 0.00392200 + 0.112311i
\(611\) 45.8505 + 24.3792i 1.85491 + 0.986275i
\(612\) 0.960800 3.85356i 0.0388381 0.155771i
\(613\) 11.9191 + 47.8049i 0.481408 + 1.93082i 0.337950 + 0.941164i \(0.390267\pi\)
0.143458 + 0.989656i \(0.454178\pi\)
\(614\) 21.7558 11.5677i 0.877992 0.466836i
\(615\) 0.541544 + 0.937982i 0.0218372 + 0.0378231i
\(616\) 2.23774 + 2.52960i 0.0901612 + 0.101920i
\(617\) −2.17305 0.790926i −0.0874838 0.0318415i 0.297907 0.954595i \(-0.403711\pi\)
−0.385391 + 0.922753i \(0.625934\pi\)
\(618\) 0.533293 15.2715i 0.0214522 0.614311i
\(619\) 32.5830 14.5069i 1.30962 0.583081i 0.371194 0.928555i \(-0.378949\pi\)
0.938428 + 0.345474i \(0.112282\pi\)
\(620\) 9.63250 + 4.28867i 0.386851 + 0.172237i
\(621\) −24.1368 3.39221i −0.968577 0.136125i
\(622\) 5.26970 3.29287i 0.211296 0.132032i
\(623\) 0.332179 1.33230i 0.0133085 0.0533774i
\(624\) −6.64389 + 6.41593i −0.265969 + 0.256843i
\(625\) 1.69675 + 2.17174i 0.0678701 + 0.0868698i
\(626\) −14.9440 −0.597282
\(627\) −20.8545 20.0763i −0.832850 0.801769i
\(628\) 8.54097 0.340822
\(629\) 10.6413 + 13.6202i 0.424296 + 0.543074i
\(630\) −1.08721 + 1.04991i −0.0433155 + 0.0418292i
\(631\) −3.90174 + 15.6490i −0.155326 + 0.622978i 0.841276 + 0.540606i \(0.181805\pi\)
−0.996602 + 0.0823716i \(0.973751\pi\)
\(632\) 11.7909 7.36780i 0.469018 0.293075i
\(633\) 44.0239 + 6.18715i 1.74979 + 0.245917i
\(634\) 26.5550 + 11.8231i 1.05464 + 0.469554i
\(635\) 8.66196 3.85656i 0.343740 0.153043i
\(636\) 0.734572 21.0354i 0.0291277 0.834108i
\(637\) −25.8466 9.40738i −1.02408 0.372734i
\(638\) 1.44411 + 15.0066i 0.0571729 + 0.594119i
\(639\) 5.03555 + 8.72183i 0.199203 + 0.345030i
\(640\) −1.29827 + 0.690302i −0.0513186 + 0.0272866i
\(641\) −9.34814 37.4933i −0.369229 1.48090i −0.811678 0.584105i \(-0.801446\pi\)
0.442449 0.896794i \(-0.354110\pi\)
\(642\) 7.22120 28.9626i 0.284998 1.14306i
\(643\) −35.5971 18.9273i −1.40381 0.746421i −0.417096 0.908862i \(-0.636952\pi\)
−0.986718 + 0.162441i \(0.948063\pi\)
\(644\) −0.217322 6.22328i −0.00856368 0.245232i
\(645\) −24.3966 + 17.7252i −0.960615 + 0.697928i
\(646\) 17.1490 0.177361i 0.674720 0.00697818i
\(647\) −10.3067 31.7207i −0.405198 1.24707i −0.920730 0.390200i \(-0.872406\pi\)
0.515533 0.856870i \(-0.327594\pi\)
\(648\) 10.3454 3.76541i 0.406405 0.147919i
\(649\) −2.38351 + 0.313656i −0.0935608 + 0.0123121i
\(650\) 10.0279 8.41442i 0.393327 0.330041i
\(651\) 5.47738 13.5570i 0.214675 0.531340i
\(652\) 3.97266 8.14516i 0.155581 0.318989i
\(653\) 16.3100 + 7.26168i 0.638259 + 0.284171i 0.700242 0.713906i \(-0.253076\pi\)
−0.0619823 + 0.998077i \(0.519742\pi\)
\(654\) 16.5902 + 18.4253i 0.648728 + 0.720485i
\(655\) −2.01691 + 2.58153i −0.0788072 + 0.100869i
\(656\) 0.353618 0.101398i 0.0138065 0.00395894i
\(657\) 5.64602 2.51377i 0.220272 0.0980714i
\(658\) 7.67096 8.51947i 0.299045 0.332123i
\(659\) 6.17157 + 35.0007i 0.240410 + 1.36343i 0.830915 + 0.556400i \(0.187818\pi\)
−0.590504 + 0.807034i \(0.701071\pi\)
\(660\) 2.27903 + 9.49521i 0.0887109 + 0.369601i
\(661\) 23.8357 20.0005i 0.927102 0.777931i −0.0481930 0.998838i \(-0.515346\pi\)
0.975295 + 0.220907i \(0.0709018\pi\)
\(662\) −21.4011 + 3.00773i −0.831778 + 0.116899i
\(663\) −34.9314 10.0164i −1.35662 0.389006i
\(664\) −3.04703 + 2.21380i −0.118248 + 0.0859119i
\(665\) −5.57031 3.40112i −0.216007 0.131890i
\(666\) 1.37031 4.21739i 0.0530986 0.163421i
\(667\) 15.5438 23.0446i 0.601858 0.892292i
\(668\) 8.24384 7.96098i 0.318964 0.308020i
\(669\) 24.9651 + 15.5999i 0.965206 + 0.603128i
\(670\) −15.9001 13.3418i −0.614276 0.515439i
\(671\) 2.79381 5.60271i 0.107854 0.216290i
\(672\) 1.01950 + 1.76583i 0.0393281 + 0.0681183i
\(673\) 29.9076 + 6.35706i 1.15285 + 0.245047i 0.744401 0.667733i \(-0.232735\pi\)
0.408453 + 0.912779i \(0.366068\pi\)
\(674\) 8.99039 + 13.3288i 0.346297 + 0.513406i
\(675\) −10.8735 + 3.11794i −0.418523 + 0.120010i
\(676\) 5.53791 + 6.15047i 0.212996 + 0.236557i
\(677\) −3.10800 + 0.660625i −0.119450 + 0.0253899i −0.267249 0.963628i \(-0.586115\pi\)
0.147799 + 0.989017i \(0.452781\pi\)
\(678\) −0.315730 0.304897i −0.0121255 0.0117095i
\(679\) 3.31367 + 13.2904i 0.127167 + 0.510039i
\(680\) −4.90610 3.06567i −0.188141 0.117563i
\(681\) 2.16213 12.2621i 0.0828531 0.469883i
\(682\) −14.4774 18.8695i −0.554368 0.722551i
\(683\) 14.5375 0.556261 0.278131 0.960543i \(-0.410285\pi\)
0.278131 + 0.960543i \(0.410285\pi\)
\(684\) −2.49802 3.62209i −0.0955141 0.138494i
\(685\) −6.80836 4.94656i −0.260134 0.188998i
\(686\) −7.38153 + 10.9436i −0.281828 + 0.417827i
\(687\) −38.3892 20.4119i −1.46464 0.778763i
\(688\) 3.83686 + 9.49657i 0.146279 + 0.362053i
\(689\) −48.3685 3.38226i −1.84269 0.128854i
\(690\) 7.89259 16.1822i 0.300466 0.616046i
\(691\) 12.9998 14.4377i 0.494534 0.549236i −0.443276 0.896385i \(-0.646184\pi\)
0.937810 + 0.347149i \(0.112850\pi\)
\(692\) 6.70746 11.6177i 0.254979 0.441637i
\(693\) 3.28521 0.910867i 0.124795 0.0346010i
\(694\) −15.1214 5.50375i −0.574002 0.208920i
\(695\) 18.6080 + 3.95525i 0.705841 + 0.150031i
\(696\) −0.951402 + 9.05199i −0.0360628 + 0.343115i
\(697\) 1.04115 + 1.00543i 0.0394364 + 0.0380833i
\(698\) −30.0534 + 18.7794i −1.13754 + 0.710812i
\(699\) −8.01742 19.8438i −0.303247 0.750562i
\(700\) −1.26686 2.59745i −0.0478828 0.0981743i
\(701\) 21.9546 + 6.29538i 0.829214 + 0.237773i 0.663287 0.748365i \(-0.269161\pi\)
0.165926 + 0.986138i \(0.446939\pi\)
\(702\) −5.68134 17.4854i −0.214428 0.659942i
\(703\) 19.1150 + 1.13813i 0.720936 + 0.0429255i
\(704\) 3.31650 + 0.0291319i 0.124995 + 0.00109795i
\(705\) 31.1471 11.3366i 1.17307 0.426962i
\(706\) −10.6684 + 1.49934i −0.401510 + 0.0564286i
\(707\) −4.24731 + 0.297001i −0.159737 + 0.0111699i
\(708\) −1.44787 0.101245i −0.0544143 0.00380502i
\(709\) 10.6692 + 1.49946i 0.400690 + 0.0563134i 0.336640 0.941633i \(-0.390709\pi\)
0.0640501 + 0.997947i \(0.479598\pi\)
\(710\) 14.3496 3.05010i 0.538530 0.114468i
\(711\) −1.46701 13.9577i −0.0550173 0.523455i
\(712\) −0.754017 1.11788i −0.0282580 0.0418942i
\(713\) −1.53040 + 43.8249i −0.0573139 + 1.64126i
\(714\) −4.01120 + 6.94760i −0.150115 + 0.260008i
\(715\) 22.0431 4.48340i 0.824364 0.167670i
\(716\) 3.86812 + 21.9372i 0.144558 + 0.819831i
\(717\) 3.36638 8.33209i 0.125720 0.311168i
\(718\) 23.2399 1.62510i 0.867307 0.0606480i
\(719\) 13.0620 + 26.7810i 0.487130 + 0.998764i 0.990859 + 0.134902i \(0.0430721\pi\)
−0.503729 + 0.863862i \(0.668039\pi\)
\(720\) 0.0517989 + 1.48333i 0.00193043 + 0.0552804i
\(721\) −2.40141 + 7.39077i −0.0894331 + 0.275247i
\(722\) 12.4187 14.3797i 0.462177 0.535156i
\(723\) −7.43090 5.39887i −0.276358 0.200786i
\(724\) 11.9310 + 15.2709i 0.443410 + 0.567539i
\(725\) 2.24010 12.7043i 0.0831954 0.471825i
\(726\) 5.70315 21.2747i 0.211664 0.789579i
\(727\) −0.180447 0.151413i −0.00669242 0.00561560i 0.639435 0.768845i \(-0.279168\pi\)
−0.646128 + 0.763229i \(0.723613\pi\)
\(728\) 4.14725 2.20513i 0.153707 0.0817276i
\(729\) −1.34112 + 12.7599i −0.0496711 + 0.472589i
\(730\) −0.941033 8.95333i −0.0348292 0.331378i
\(731\) −24.8101 + 31.7555i −0.917636 + 1.17452i
\(732\) 2.32705 2.97849i 0.0860103 0.110088i
\(733\) −2.42582 23.0802i −0.0895998 0.852485i −0.943349 0.331801i \(-0.892344\pi\)
0.853749 0.520684i \(-0.174323\pi\)
\(734\) −1.30733 + 12.4384i −0.0482544 + 0.459110i
\(735\) −15.5015 + 8.24231i −0.571783 + 0.304022i
\(736\) −4.68447 3.93074i −0.172672 0.144889i
\(737\) 17.1564 + 43.5613i 0.631964 + 1.60460i
\(738\) 0.0644815 0.365693i 0.00237360 0.0134613i
\(739\) 11.8562 + 15.1752i 0.436137 + 0.558229i 0.954992 0.296633i \(-0.0958637\pi\)
−0.518855 + 0.854862i \(0.673642\pi\)
\(740\) −5.22581 3.79677i −0.192105 0.139572i
\(741\) −33.9193 + 21.6861i −1.24606 + 0.796658i
\(742\) −3.30776 + 10.1802i −0.121432 + 0.373728i
\(743\) 1.11959 + 32.0609i 0.0410738 + 1.17620i 0.828571 + 0.559883i \(0.189154\pi\)
−0.787498 + 0.616318i \(0.788624\pi\)
\(744\) −6.29451 12.9057i −0.230768 0.473144i
\(745\) −4.25790 + 0.297741i −0.155997 + 0.0109084i
\(746\) −6.31649 + 15.6338i −0.231263 + 0.572396i
\(747\) 0.660178 + 3.74405i 0.0241546 + 0.136988i
\(748\) 6.42507 + 11.3578i 0.234924 + 0.415282i
\(749\) −7.58998 + 13.1462i −0.277332 + 0.480353i
\(750\) 0.805367 23.0627i 0.0294079 0.842131i
\(751\) 2.76563 + 4.10021i 0.100919 + 0.149619i 0.876115 0.482102i \(-0.160127\pi\)
−0.775196 + 0.631721i \(0.782349\pi\)
\(752\) −1.17678 11.1963i −0.0429128 0.408288i
\(753\) −4.47935 + 0.952116i −0.163237 + 0.0346970i
\(754\) 20.7630 + 2.91805i 0.756143 + 0.106269i
\(755\) −17.9130 1.25260i −0.651920 0.0455867i
\(756\) −4.04891 + 0.283128i −0.147258 + 0.0102973i
\(757\) 9.72321 1.36651i 0.353396 0.0496666i 0.0397585 0.999209i \(-0.487341\pi\)
0.313638 + 0.949543i \(0.398452\pi\)
\(758\) −9.93389 + 3.61564i −0.360815 + 0.131326i
\(759\) −33.0634 + 23.5810i −1.20013 + 0.855938i
\(760\) −6.14236 + 1.83025i −0.222807 + 0.0663901i
\(761\) −12.0776 37.1710i −0.437812 1.34745i −0.890177 0.455614i \(-0.849420\pi\)
0.452365 0.891833i \(-0.350580\pi\)
\(762\) −12.4119 3.55906i −0.449636 0.128931i
\(763\) −5.52737 11.3328i −0.200104 0.410275i
\(764\) −7.65266 18.9410i −0.276863 0.685261i
\(765\) −4.95232 + 3.09455i −0.179051 + 0.111884i
\(766\) −0.206205 0.199130i −0.00745048 0.00719484i
\(767\) −0.349487 + 3.32514i −0.0126192 + 0.120064i
\(768\) 1.95860 + 0.416313i 0.0706748 + 0.0150224i
\(769\) −49.7207 18.0969i −1.79297 0.652589i −0.999003 0.0446334i \(-0.985788\pi\)
−0.793971 0.607956i \(-0.791990\pi\)
\(770\) 0.216895 4.96123i 0.00781637 0.178790i
\(771\)