Properties

Label 349.2.h.a.17.19
Level $349$
Weight $2$
Character 349.17
Analytic conductor $2.787$
Analytic rank $0$
Dimension $784$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [349,2,Mod(17,349)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(349, base_ring=CyclotomicField(58))
 
chi = DirichletCharacter(H, H._module([43]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("349.17");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 349 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 349.h (of order \(58\), degree \(28\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.78677903054\)
Analytic rank: \(0\)
Dimension: \(784\)
Relative dimension: \(28\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 17.19
Character \(\chi\) \(=\) 349.17
Dual form 349.2.h.a.308.19

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.504938 - 0.533057i) q^{2} +(1.26280 + 1.48669i) q^{3} +(0.0790909 + 1.45875i) q^{4} +(0.890294 - 0.676784i) q^{5} +(1.43013 + 0.0775392i) q^{6} +(2.42550 - 4.03121i) q^{7} +(1.93675 + 1.64509i) q^{8} +(-0.130219 + 0.794301i) q^{9} +O(q^{10})\) \(q+(0.504938 - 0.533057i) q^{2} +(1.26280 + 1.48669i) q^{3} +(0.0790909 + 1.45875i) q^{4} +(0.890294 - 0.676784i) q^{5} +(1.43013 + 0.0775392i) q^{6} +(2.42550 - 4.03121i) q^{7} +(1.93675 + 1.64509i) q^{8} +(-0.130219 + 0.794301i) q^{9} +(0.0887793 - 0.816312i) q^{10} +(-0.302625 + 1.37484i) q^{11} +(-2.06882 + 1.95969i) q^{12} +(-4.54590 + 1.26216i) q^{13} +(-0.924137 - 3.32844i) q^{14} +(2.13043 + 0.468943i) q^{15} +(-1.04978 + 0.114170i) q^{16} +(-1.96286 - 2.31086i) q^{17} +(0.357655 + 0.470487i) q^{18} +(0.246565 + 0.618832i) q^{19} +(1.05767 + 1.24519i) q^{20} +(9.05606 - 1.48467i) q^{21} +(0.580061 + 0.855526i) q^{22} +(0.725074 + 2.61148i) q^{23} +4.95677i q^{24} +(-1.00305 + 3.61268i) q^{25} +(-1.62259 + 3.06054i) q^{26} +(3.66888 - 2.20749i) q^{27} +(6.07234 + 3.21935i) q^{28} +(-4.12568 - 3.90805i) q^{29} +(1.32571 - 0.898854i) q^{30} +(-2.56508 + 4.83825i) q^{31} +(-3.54487 + 4.66319i) q^{32} +(-2.42611 + 1.28624i) q^{33} +(-2.22294 - 0.120525i) q^{34} +(-0.568851 - 5.23050i) q^{35} +(-1.16898 - 0.127134i) q^{36} +(-0.867697 - 3.12516i) q^{37} +(0.454373 + 0.181039i) q^{38} +(-7.61701 - 5.16446i) q^{39} +(2.83766 + 0.153853i) q^{40} +(1.63331 - 1.92288i) q^{41} +(3.78134 - 5.57706i) q^{42} +(1.83728 - 8.34685i) q^{43} +(-2.02948 - 0.332716i) q^{44} +(0.421637 + 0.795292i) q^{45} +(1.75819 + 0.932131i) q^{46} +(-3.19531 + 9.48335i) q^{47} +(-1.49540 - 1.41651i) q^{48} +(-7.08874 - 13.3708i) q^{49} +(1.41928 + 2.35886i) q^{50} +(0.956816 - 5.83632i) q^{51} +(-2.20071 - 6.53148i) q^{52} +(-0.277851 + 0.600564i) q^{53} +(0.675840 - 3.07037i) q^{54} +(0.661044 + 1.42882i) q^{55} +(11.3293 - 3.81729i) q^{56} +(-0.608646 + 1.14803i) q^{57} +(-4.16642 + 0.225897i) q^{58} +(-0.553908 + 0.470494i) q^{59} +(-0.515571 + 3.14485i) q^{60} +(-2.12830 - 2.24682i) q^{61} +(1.28386 + 3.81035i) q^{62} +(2.88614 + 2.45151i) q^{63} +(0.354135 + 2.16013i) q^{64} +(-3.19298 + 4.20029i) q^{65} +(-0.539396 + 1.94273i) q^{66} +(0.751287 - 1.88559i) q^{67} +(3.21571 - 3.04608i) q^{68} +(-2.96683 + 4.37574i) q^{69} +(-3.07539 - 2.33785i) q^{70} +(-0.500383 - 0.425029i) q^{71} +(-1.55890 + 1.32414i) q^{72} +(3.48159 + 2.09481i) q^{73} +(-2.10402 - 1.11548i) q^{74} +(-6.63757 + 3.07087i) q^{75} +(-0.883217 + 0.408620i) q^{76} +(4.80825 + 4.55461i) q^{77} +(-6.59907 + 1.45257i) q^{78} +(-6.42022 - 13.8771i) q^{79} +(-0.857342 + 0.812118i) q^{80} +(10.2032 + 3.43787i) q^{81} +(-0.200284 - 1.84158i) q^{82} +(-1.62205 + 1.23305i) q^{83} +(2.88200 + 13.0931i) q^{84} +(-3.31148 - 0.728912i) q^{85} +(-3.52163 - 5.19402i) q^{86} +(0.600126 - 11.0687i) q^{87} +(-2.84785 + 2.16488i) q^{88} +(13.6987 + 9.28793i) q^{89} +(0.636836 + 0.176817i) q^{90} +(-5.93802 + 21.3868i) q^{91} +(-3.75214 + 1.26424i) q^{92} +(-10.4321 + 2.29629i) q^{93} +(3.44173 + 6.49179i) q^{94} +(0.638331 + 0.384071i) q^{95} +(-11.4092 + 0.618587i) q^{96} +(8.16232 - 10.7373i) q^{97} +(-10.7068 - 2.97272i) q^{98} +(-1.05263 - 0.419405i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 784 q - 29 q^{2} - 25 q^{3} + 3 q^{4} - 21 q^{5} - 29 q^{6} - 29 q^{7} + 58 q^{8} - 57 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 784 q - 29 q^{2} - 25 q^{3} + 3 q^{4} - 21 q^{5} - 29 q^{6} - 29 q^{7} + 58 q^{8} - 57 q^{9} - 29 q^{10} - 29 q^{11} - 37 q^{12} - 29 q^{13} - 33 q^{14} - 37 q^{15} - 57 q^{16} - 21 q^{17} - 145 q^{18} + 43 q^{19} - 35 q^{20} - 145 q^{21} - 17 q^{22} - 13 q^{23} - 45 q^{25} + 7 q^{26} - 43 q^{27} - 29 q^{28} - 13 q^{29} - 29 q^{30} - 53 q^{31} - 29 q^{32} - 29 q^{33} - 29 q^{34} - 87 q^{35} + 33 q^{36} + 150 q^{37} - 29 q^{38} - 29 q^{39} - 29 q^{40} - 91 q^{41} + 145 q^{42} - 29 q^{43} - 145 q^{44} + 23 q^{45} - 29 q^{46} - 29 q^{47} + 111 q^{48} + 19 q^{49} + 348 q^{50} + 61 q^{51} - 145 q^{52} - 29 q^{53} - 29 q^{54} - 145 q^{55} + 9 q^{56} - 23 q^{57} - 29 q^{58} - 29 q^{59} + 405 q^{60} - 174 q^{61} - 29 q^{62} - 29 q^{63} - 210 q^{64} - 29 q^{65} + 244 q^{66} - 75 q^{67} - 77 q^{68} - 103 q^{69} - 115 q^{70} - 29 q^{71} - 203 q^{72} - 79 q^{73} + 87 q^{74} + 7 q^{75} - 105 q^{76} + 39 q^{77} + 233 q^{78} - 29 q^{79} + 99 q^{80} + 207 q^{81} - 29 q^{82} + 93 q^{83} - 435 q^{84} + 126 q^{85} - 147 q^{86} + 115 q^{87} - 139 q^{88} - 435 q^{89} - 29 q^{90} - 57 q^{91} - 47 q^{92} - 99 q^{93} - 51 q^{94} + 233 q^{95} + 609 q^{96} - 29 q^{97} + 377 q^{98} - 29 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/349\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{43}{58}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.504938 0.533057i 0.357045 0.376928i −0.522584 0.852588i \(-0.675032\pi\)
0.879629 + 0.475660i \(0.157791\pi\)
\(3\) 1.26280 + 1.48669i 0.729079 + 0.858338i 0.994385 0.105826i \(-0.0337487\pi\)
−0.265305 + 0.964164i \(0.585473\pi\)
\(4\) 0.0790909 + 1.45875i 0.0395454 + 0.729373i
\(5\) 0.890294 0.676784i 0.398152 0.302667i −0.386871 0.922134i \(-0.626444\pi\)
0.785023 + 0.619467i \(0.212651\pi\)
\(6\) 1.43013 + 0.0775392i 0.583846 + 0.0316552i
\(7\) 2.42550 4.03121i 0.916752 1.52365i 0.0661710 0.997808i \(-0.478922\pi\)
0.850581 0.525845i \(-0.176251\pi\)
\(8\) 1.93675 + 1.64509i 0.684746 + 0.581628i
\(9\) −0.130219 + 0.794301i −0.0434063 + 0.264767i
\(10\) 0.0887793 0.816312i 0.0280745 0.258141i
\(11\) −0.302625 + 1.37484i −0.0912449 + 0.414530i −0.999996 0.00280867i \(-0.999106\pi\)
0.908751 + 0.417338i \(0.137037\pi\)
\(12\) −2.06882 + 1.95969i −0.597217 + 0.565714i
\(13\) −4.54590 + 1.26216i −1.26081 + 0.350061i −0.832729 0.553681i \(-0.813223\pi\)
−0.428077 + 0.903742i \(0.640809\pi\)
\(14\) −0.924137 3.32844i −0.246986 0.889563i
\(15\) 2.13043 + 0.468943i 0.550075 + 0.121081i
\(16\) −1.04978 + 0.114170i −0.262444 + 0.0285425i
\(17\) −1.96286 2.31086i −0.476064 0.560466i 0.470742 0.882271i \(-0.343986\pi\)
−0.946806 + 0.321805i \(0.895710\pi\)
\(18\) 0.357655 + 0.470487i 0.0843001 + 0.110895i
\(19\) 0.246565 + 0.618832i 0.0565659 + 0.141970i 0.954544 0.298071i \(-0.0963432\pi\)
−0.897978 + 0.440041i \(0.854964\pi\)
\(20\) 1.05767 + 1.24519i 0.236502 + 0.278432i
\(21\) 9.05606 1.48467i 1.97619 0.323981i
\(22\) 0.580061 + 0.855526i 0.123669 + 0.182399i
\(23\) 0.725074 + 2.61148i 0.151188 + 0.544532i 0.999878 + 0.0156397i \(0.00497849\pi\)
−0.848689 + 0.528892i \(0.822608\pi\)
\(24\) 4.95677i 1.01180i
\(25\) −1.00305 + 3.61268i −0.200611 + 0.722535i
\(26\) −1.62259 + 3.06054i −0.318217 + 0.600221i
\(27\) 3.66888 2.20749i 0.706077 0.424832i
\(28\) 6.07234 + 3.21935i 1.14756 + 0.608400i
\(29\) −4.12568 3.90805i −0.766119 0.725706i 0.201122 0.979566i \(-0.435541\pi\)
−0.967241 + 0.253860i \(0.918300\pi\)
\(30\) 1.32571 0.898854i 0.242040 0.164107i
\(31\) −2.56508 + 4.83825i −0.460701 + 0.868975i 0.538944 + 0.842342i \(0.318823\pi\)
−0.999645 + 0.0266331i \(0.991521\pi\)
\(32\) −3.54487 + 4.66319i −0.626650 + 0.824344i
\(33\) −2.42611 + 1.28624i −0.422332 + 0.223906i
\(34\) −2.22294 0.120525i −0.381232 0.0206698i
\(35\) −0.568851 5.23050i −0.0961534 0.884116i
\(36\) −1.16898 0.127134i −0.194830 0.0211891i
\(37\) −0.867697 3.12516i −0.142649 0.513774i 0.857351 0.514732i \(-0.172109\pi\)
−1.00000 0.000958628i \(0.999695\pi\)
\(38\) 0.454373 + 0.181039i 0.0737090 + 0.0293684i
\(39\) −7.61701 5.16446i −1.21970 0.826976i
\(40\) 2.83766 + 0.153853i 0.448673 + 0.0243263i
\(41\) 1.63331 1.92288i 0.255080 0.300303i −0.619685 0.784850i \(-0.712740\pi\)
0.874765 + 0.484547i \(0.161016\pi\)
\(42\) 3.78134 5.57706i 0.583474 0.860559i
\(43\) 1.83728 8.34685i 0.280183 1.27288i −0.600672 0.799496i \(-0.705100\pi\)
0.880855 0.473387i \(-0.156969\pi\)
\(44\) −2.02948 0.332716i −0.305955 0.0501588i
\(45\) 0.421637 + 0.795292i 0.0628539 + 0.118555i
\(46\) 1.75819 + 0.932131i 0.259230 + 0.137435i
\(47\) −3.19531 + 9.48335i −0.466084 + 1.38329i 0.414781 + 0.909921i \(0.363858\pi\)
−0.880865 + 0.473367i \(0.843038\pi\)
\(48\) −1.49540 1.41651i −0.215842 0.204456i
\(49\) −7.08874 13.3708i −1.01268 1.91011i
\(50\) 1.41928 + 2.35886i 0.200717 + 0.333594i
\(51\) 0.956816 5.83632i 0.133981 0.817248i
\(52\) −2.20071 6.53148i −0.305184 0.905754i
\(53\) −0.277851 + 0.600564i −0.0381657 + 0.0824938i −0.925721 0.378208i \(-0.876540\pi\)
0.887555 + 0.460702i \(0.152402\pi\)
\(54\) 0.675840 3.07037i 0.0919702 0.417825i
\(55\) 0.661044 + 1.42882i 0.0891352 + 0.192663i
\(56\) 11.3293 3.81729i 1.51394 0.510106i
\(57\) −0.608646 + 1.14803i −0.0806171 + 0.152060i
\(58\) −4.16642 + 0.225897i −0.547078 + 0.0296617i
\(59\) −0.553908 + 0.470494i −0.0721127 + 0.0612531i −0.682718 0.730682i \(-0.739202\pi\)
0.610605 + 0.791935i \(0.290926\pi\)
\(60\) −0.515571 + 3.14485i −0.0665600 + 0.405998i
\(61\) −2.12830 2.24682i −0.272500 0.287675i 0.575354 0.817905i \(-0.304864\pi\)
−0.847854 + 0.530229i \(0.822106\pi\)
\(62\) 1.28386 + 3.81035i 0.163050 + 0.483915i
\(63\) 2.88614 + 2.45151i 0.363620 + 0.308862i
\(64\) 0.354135 + 2.16013i 0.0442669 + 0.270016i
\(65\) −3.19298 + 4.20029i −0.396040 + 0.520982i
\(66\) −0.539396 + 1.94273i −0.0663950 + 0.239133i
\(67\) 0.751287 1.88559i 0.0917843 0.230361i −0.875916 0.482463i \(-0.839742\pi\)
0.967701 + 0.252102i \(0.0811217\pi\)
\(68\) 3.21571 3.04608i 0.389962 0.369392i
\(69\) −2.96683 + 4.37574i −0.357164 + 0.526777i
\(70\) −3.07539 2.33785i −0.367579 0.279426i
\(71\) −0.500383 0.425029i −0.0593845 0.0504417i 0.617203 0.786804i \(-0.288266\pi\)
−0.676587 + 0.736363i \(0.736542\pi\)
\(72\) −1.55890 + 1.32414i −0.183718 + 0.156052i
\(73\) 3.48159 + 2.09481i 0.407490 + 0.245179i 0.704512 0.709692i \(-0.251166\pi\)
−0.297022 + 0.954871i \(0.595994\pi\)
\(74\) −2.10402 1.11548i −0.244588 0.129672i
\(75\) −6.63757 + 3.07087i −0.766441 + 0.354593i
\(76\) −0.883217 + 0.408620i −0.101312 + 0.0468719i
\(77\) 4.80825 + 4.55461i 0.547951 + 0.519046i
\(78\) −6.59907 + 1.45257i −0.747198 + 0.164471i
\(79\) −6.42022 13.8771i −0.722331 1.56129i −0.824073 0.566483i \(-0.808304\pi\)
0.101742 0.994811i \(-0.467558\pi\)
\(80\) −0.857342 + 0.812118i −0.0958538 + 0.0907975i
\(81\) 10.2032 + 3.43787i 1.13369 + 0.381985i
\(82\) −0.200284 1.84158i −0.0221176 0.203368i
\(83\) −1.62205 + 1.23305i −0.178043 + 0.135345i −0.690400 0.723428i \(-0.742566\pi\)
0.512357 + 0.858773i \(0.328772\pi\)
\(84\) 2.88200 + 13.0931i 0.314452 + 1.42857i
\(85\) −3.31148 0.728912i −0.359180 0.0790616i
\(86\) −3.52163 5.19402i −0.379747 0.560086i
\(87\) 0.600126 11.0687i 0.0643403 1.18669i
\(88\) −2.84785 + 2.16488i −0.303582 + 0.230777i
\(89\) 13.6987 + 9.28793i 1.45206 + 0.984519i 0.995494 + 0.0948278i \(0.0302301\pi\)
0.456563 + 0.889691i \(0.349080\pi\)
\(90\) 0.636836 + 0.176817i 0.0671285 + 0.0186381i
\(91\) −5.93802 + 21.3868i −0.622474 + 2.24195i
\(92\) −3.75214 + 1.26424i −0.391188 + 0.131806i
\(93\) −10.4321 + 2.29629i −1.08176 + 0.238114i
\(94\) 3.44173 + 6.49179i 0.354987 + 0.669577i
\(95\) 0.638331 + 0.384071i 0.0654914 + 0.0394049i
\(96\) −11.4092 + 0.618587i −1.16444 + 0.0631343i
\(97\) 8.16232 10.7373i 0.828758 1.09021i −0.165813 0.986157i \(-0.553025\pi\)
0.994571 0.104055i \(-0.0331819\pi\)
\(98\) −10.7068 2.97272i −1.08155 0.300290i
\(99\) −1.05263 0.419405i −0.105793 0.0421518i
\(100\) −5.34930 1.17747i −0.534930 0.117747i
\(101\) 0.0224952 0.00896291i 0.00223836 0.000891843i −0.369019 0.929422i \(-0.620306\pi\)
0.371257 + 0.928530i \(0.378927\pi\)
\(102\) −2.62796 3.45702i −0.260207 0.342296i
\(103\) 7.01859 7.40944i 0.691562 0.730074i −0.281768 0.959483i \(-0.590921\pi\)
0.973330 + 0.229409i \(0.0736794\pi\)
\(104\) −10.8807 5.03393i −1.06694 0.493618i
\(105\) 7.05776 7.45079i 0.688767 0.727123i
\(106\) 0.179838 + 0.451358i 0.0174674 + 0.0438398i
\(107\) 2.98065 1.18760i 0.288150 0.114809i −0.221585 0.975141i \(-0.571123\pi\)
0.509735 + 0.860332i \(0.329744\pi\)
\(108\) 3.51034 + 5.17737i 0.337783 + 0.498193i
\(109\) −18.4973 2.01170i −1.77172 0.192686i −0.836792 0.547521i \(-0.815572\pi\)
−0.934929 + 0.354834i \(0.884537\pi\)
\(110\) 1.09543 + 0.369094i 0.104445 + 0.0351917i
\(111\) 3.55040 5.23646i 0.336990 0.497022i
\(112\) −2.08599 + 4.50879i −0.197107 + 0.426041i
\(113\) 11.9671 + 12.6335i 1.12577 + 1.18846i 0.979971 + 0.199142i \(0.0638155\pi\)
0.145795 + 0.989315i \(0.453426\pi\)
\(114\) 0.304636 + 0.904126i 0.0285317 + 0.0846792i
\(115\) 2.41294 + 1.83427i 0.225008 + 0.171046i
\(116\) 5.37454 6.32740i 0.499014 0.587484i
\(117\) −0.410574 3.77517i −0.0379576 0.349014i
\(118\) −0.0288895 + 0.532835i −0.00265949 + 0.0490515i
\(119\) −14.0765 + 2.30772i −1.29039 + 0.211548i
\(120\) 3.35467 + 4.41299i 0.306238 + 0.402849i
\(121\) 8.18473 + 3.78666i 0.744066 + 0.344242i
\(122\) −2.27234 −0.205728
\(123\) 4.92126 0.443735
\(124\) −7.26064 3.35913i −0.652025 0.301659i
\(125\) 3.62167 + 9.08971i 0.323932 + 0.813008i
\(126\) 2.76412 0.300616i 0.246248 0.0267810i
\(127\) −0.961861 4.36978i −0.0853514 0.387755i 0.914507 0.404570i \(-0.132579\pi\)
−0.999859 + 0.0168143i \(0.994648\pi\)
\(128\) −8.36625 5.67246i −0.739479 0.501379i
\(129\) 14.7293 7.80896i 1.29684 0.687541i
\(130\) 0.626737 + 3.82293i 0.0549685 + 0.335293i
\(131\) −11.6143 + 9.86530i −1.01475 + 0.861936i −0.990464 0.137770i \(-0.956007\pi\)
−0.0242846 + 0.999705i \(0.507731\pi\)
\(132\) −2.06818 3.43735i −0.180012 0.299183i
\(133\) 3.09268 + 0.507020i 0.268170 + 0.0439642i
\(134\) −0.625772 1.35258i −0.0540585 0.116845i
\(135\) 1.77239 4.44836i 0.152543 0.382854i
\(136\) 7.70466i 0.660669i
\(137\) 17.0473 + 6.79225i 1.45645 + 0.580301i 0.958038 0.286642i \(-0.0925389\pi\)
0.498408 + 0.866943i \(0.333918\pi\)
\(138\) 0.834455 + 3.79097i 0.0710335 + 0.322709i
\(139\) −0.247483 4.56456i −0.0209912 0.387161i −0.990085 0.140469i \(-0.955139\pi\)
0.969094 0.246692i \(-0.0793437\pi\)
\(140\) 7.58497 1.24349i 0.641047 0.105094i
\(141\) −18.1338 + 7.22517i −1.52714 + 0.608469i
\(142\) −0.479227 + 0.0521191i −0.0402159 + 0.00437374i
\(143\) −0.359568 6.63184i −0.0300686 0.554583i
\(144\) 0.0460155 0.848706i 0.00383463 0.0707255i
\(145\) −6.31797 0.687121i −0.524679 0.0570623i
\(146\) 2.87464 0.798140i 0.237907 0.0660546i
\(147\) 10.9265 27.4234i 0.901200 2.26184i
\(148\) 4.49019 1.51292i 0.369091 0.124361i
\(149\) −8.14503 + 5.52247i −0.667267 + 0.452418i −0.847210 0.531259i \(-0.821719\pi\)
0.179942 + 0.983677i \(0.442409\pi\)
\(150\) −1.71462 + 5.08880i −0.139998 + 0.415499i
\(151\) 6.35247 2.93897i 0.516957 0.239170i −0.144022 0.989575i \(-0.546003\pi\)
0.660979 + 0.750405i \(0.270141\pi\)
\(152\) −0.540501 + 1.60415i −0.0438404 + 0.130114i
\(153\) 2.09112 1.25818i 0.169057 0.101718i
\(154\) 4.85574 0.263270i 0.391286 0.0212149i
\(155\) 0.990776 + 6.04347i 0.0795810 + 0.485423i
\(156\) 6.93120 11.5197i 0.554940 0.922317i
\(157\) −13.1405 + 15.4702i −1.04873 + 1.23465i −0.0773751 + 0.997002i \(0.524654\pi\)
−0.971350 + 0.237653i \(0.923622\pi\)
\(158\) −10.6391 3.58473i −0.846401 0.285186i
\(159\) −1.24372 + 0.345317i −0.0986335 + 0.0273854i
\(160\) 6.55073i 0.517880i
\(161\) 12.2861 + 3.41122i 0.968279 + 0.268841i
\(162\) 6.98458 3.70299i 0.548761 0.290934i
\(163\) 6.52167 10.8391i 0.510817 0.848984i −0.488910 0.872334i \(-0.662605\pi\)
0.999727 + 0.0233496i \(0.00743308\pi\)
\(164\) 2.93417 + 2.23049i 0.229120 + 0.174172i
\(165\) −1.28944 + 2.78709i −0.100383 + 0.216974i
\(166\) −0.161749 + 1.48726i −0.0125542 + 0.115434i
\(167\) 1.21881 + 2.02568i 0.0943144 + 0.156752i 0.900422 0.435017i \(-0.143258\pi\)
−0.806108 + 0.591769i \(0.798430\pi\)
\(168\) 19.9818 + 12.0226i 1.54163 + 0.927567i
\(169\) 7.93300 4.77313i 0.610231 0.367164i
\(170\) −2.06064 + 1.39715i −0.158044 + 0.107157i
\(171\) −0.523646 + 0.115263i −0.0400442 + 0.00881440i
\(172\) 12.3212 + 2.01996i 0.939486 + 0.154021i
\(173\) −1.10803 + 10.1882i −0.0842421 + 0.774593i 0.873473 + 0.486873i \(0.161863\pi\)
−0.957715 + 0.287720i \(0.907103\pi\)
\(174\) −5.59721 5.90890i −0.424323 0.447953i
\(175\) 12.1305 + 12.8061i 0.916982 + 0.968047i
\(176\) 0.160723 1.47783i 0.0121150 0.111395i
\(177\) −1.39895 0.229347i −0.105152 0.0172388i
\(178\) 11.8680 2.61234i 0.889543 0.195803i
\(179\) 0.282645 0.191638i 0.0211259 0.0143237i −0.550578 0.834783i \(-0.685593\pi\)
0.571704 + 0.820460i \(0.306282\pi\)
\(180\) −1.12678 + 0.677961i −0.0839852 + 0.0505322i
\(181\) 17.5076 + 10.5339i 1.30133 + 0.782982i 0.986119 0.166041i \(-0.0530984\pi\)
0.315207 + 0.949023i \(0.397926\pi\)
\(182\) 8.40206 + 13.9643i 0.622802 + 1.03511i
\(183\) 0.652691 6.00139i 0.0482483 0.443636i
\(184\) −2.89184 + 6.25061i −0.213189 + 0.460801i
\(185\) −2.88757 2.19507i −0.212298 0.161385i
\(186\) −4.04353 + 6.72041i −0.296486 + 0.492764i
\(187\) 3.77107 1.99930i 0.275768 0.146203i
\(188\) −14.0865 3.91110i −1.02736 0.285246i
\(189\) 20.1443i 1.46528i
\(190\) 0.527050 0.146335i 0.0382362 0.0106162i
\(191\) −16.6817 5.62071i −1.20704 0.406700i −0.357346 0.933972i \(-0.616318\pi\)
−0.849696 + 0.527272i \(0.823215\pi\)
\(192\) −2.76423 + 3.25430i −0.199491 + 0.234859i
\(193\) −2.67018 + 4.43787i −0.192204 + 0.319445i −0.937941 0.346795i \(-0.887270\pi\)
0.745737 + 0.666240i \(0.232097\pi\)
\(194\) −1.60215 9.77268i −0.115028 0.701638i
\(195\) −10.2766 + 0.557182i −0.735923 + 0.0399006i
\(196\) 18.9439 11.3982i 1.35314 0.814155i
\(197\) 8.45982 25.1079i 0.602737 1.78886i −0.0117464 0.999931i \(-0.503739\pi\)
0.614484 0.788930i \(-0.289364\pi\)
\(198\) −0.755079 + 0.349337i −0.0536612 + 0.0248263i
\(199\) 2.61036 7.74728i 0.185044 0.549190i −0.814475 0.580198i \(-0.802975\pi\)
0.999519 + 0.0310078i \(0.00987168\pi\)
\(200\) −7.88586 + 5.34675i −0.557614 + 0.378072i
\(201\) 3.75200 1.26420i 0.264646 0.0891696i
\(202\) 0.00658095 0.0165169i 0.000463034 0.00116213i
\(203\) −25.7610 + 7.15250i −1.80806 + 0.502007i
\(204\) 8.58938 + 0.934151i 0.601377 + 0.0654036i
\(205\) 0.152751 2.81732i 0.0106686 0.196770i
\(206\) −0.405696 7.48262i −0.0282662 0.521339i
\(207\) −2.16872 + 0.235863i −0.150736 + 0.0163936i
\(208\) 4.62808 1.84400i 0.320900 0.127858i
\(209\) −0.925412 + 0.151714i −0.0640121 + 0.0104942i
\(210\) −0.407960 7.52438i −0.0281519 0.519231i
\(211\) 0.0407224 + 0.185004i 0.00280345 + 0.0127362i 0.978002 0.208598i \(-0.0668899\pi\)
−0.975198 + 0.221334i \(0.928959\pi\)
\(212\) −0.898046 0.357814i −0.0616780 0.0245748i
\(213\) 1.28064i 0.0877480i
\(214\) 0.871985 2.18852i 0.0596077 0.149604i
\(215\) −4.01330 8.67460i −0.273705 0.591603i
\(216\) 10.7373 + 1.76028i 0.730578 + 0.119772i
\(217\) 13.2824 + 22.0755i 0.901667 + 1.49858i
\(218\) −10.4124 + 8.84433i −0.705214 + 0.599014i
\(219\) 1.28225 + 7.82136i 0.0866463 + 0.528519i
\(220\) −2.03201 + 1.07730i −0.136998 + 0.0726317i
\(221\) 11.8397 + 8.02748i 0.796421 + 0.539987i
\(222\) −0.998593 4.53666i −0.0670212 0.304480i
\(223\) −0.460673 + 0.0501012i −0.0308489 + 0.00335502i −0.123530 0.992341i \(-0.539422\pi\)
0.0926815 + 0.995696i \(0.470456\pi\)
\(224\) 10.2002 + 25.6007i 0.681532 + 1.71052i
\(225\) −2.73893 1.26717i −0.182596 0.0844777i
\(226\) 12.7770 0.849912
\(227\) −19.7047 −1.30785 −0.653924 0.756561i \(-0.726878\pi\)
−0.653924 + 0.756561i \(0.726878\pi\)
\(228\) −1.72282 0.797060i −0.114096 0.0527866i
\(229\) 12.8794 + 16.9426i 0.851094 + 1.11960i 0.991578 + 0.129512i \(0.0413412\pi\)
−0.140483 + 0.990083i \(0.544866\pi\)
\(230\) 2.19616 0.360041i 0.144810 0.0237404i
\(231\) −0.699414 + 12.8999i −0.0460180 + 0.848753i
\(232\) −1.56131 14.3561i −0.102505 0.942521i
\(233\) −15.1685 + 17.8578i −0.993722 + 1.16990i −0.00826676 + 0.999966i \(0.502631\pi\)
−0.985455 + 0.169934i \(0.945644\pi\)
\(234\) −2.21969 1.68737i −0.145106 0.110307i
\(235\) 3.57341 + 10.6055i 0.233104 + 0.691827i
\(236\) −0.730140 0.770799i −0.0475281 0.0501748i
\(237\) 12.5234 27.0689i 0.813482 1.75831i
\(238\) −5.87760 + 8.66882i −0.380988 + 0.561916i
\(239\) 28.3683 + 9.55839i 1.83499 + 0.618281i 0.997406 + 0.0719761i \(0.0229305\pi\)
0.837586 + 0.546305i \(0.183966\pi\)
\(240\) −2.29002 0.249054i −0.147820 0.0160764i
\(241\) −9.16495 13.5173i −0.590366 0.870725i 0.408755 0.912644i \(-0.365963\pi\)
−0.999121 + 0.0419190i \(0.986653\pi\)
\(242\) 6.15129 2.45090i 0.395420 0.157550i
\(243\) 3.01907 + 7.57730i 0.193674 + 0.486084i
\(244\) 3.10920 3.28234i 0.199046 0.210131i
\(245\) −15.3602 7.10638i −0.981327 0.454010i
\(246\) 2.48493 2.62331i 0.158433 0.167256i
\(247\) −1.90193 2.50194i −0.121017 0.159195i
\(248\) −12.9273 + 5.15070i −0.820884 + 0.327070i
\(249\) −3.88149 0.854381i −0.245979 0.0541442i
\(250\) 6.67405 + 2.65919i 0.422104 + 0.168182i
\(251\) 6.30108 + 1.74949i 0.397721 + 0.110427i 0.460629 0.887593i \(-0.347624\pi\)
−0.0629085 + 0.998019i \(0.520038\pi\)
\(252\) −3.34787 + 4.40404i −0.210896 + 0.277429i
\(253\) −3.80979 + 0.206561i −0.239520 + 0.0129864i
\(254\) −2.81502 1.69374i −0.176630 0.106275i
\(255\) −3.09808 5.84360i −0.194009 0.365940i
\(256\) −11.5238 + 2.53657i −0.720235 + 0.158536i
\(257\) −9.21797 + 3.10590i −0.575001 + 0.193740i −0.591753 0.806119i \(-0.701564\pi\)
0.0167521 + 0.999860i \(0.494667\pi\)
\(258\) 3.27475 11.7946i 0.203877 0.734299i
\(259\) −14.7028 4.08221i −0.913586 0.253656i
\(260\) −6.37969 4.32554i −0.395651 0.268258i
\(261\) 3.64141 2.76812i 0.225397 0.171343i
\(262\) −0.605754 + 11.1725i −0.0374236 + 0.690238i
\(263\) 14.0621 + 20.7401i 0.867108 + 1.27889i 0.959082 + 0.283128i \(0.0913720\pi\)
−0.0919738 + 0.995761i \(0.529318\pi\)
\(264\) −6.81477 1.50004i −0.419420 0.0923213i
\(265\) 0.159084 + 0.722724i 0.00977243 + 0.0443966i
\(266\) 1.83188 1.39256i 0.112320 0.0853835i
\(267\) 3.49048 + 32.0944i 0.213614 + 1.96415i
\(268\) 2.81001 + 0.946803i 0.171649 + 0.0578352i
\(269\) −4.84435 + 4.58881i −0.295365 + 0.279785i −0.821003 0.570924i \(-0.806585\pi\)
0.525638 + 0.850708i \(0.323827\pi\)
\(270\) −1.47628 3.19093i −0.0898437 0.194194i
\(271\) −22.3587 + 4.92151i −1.35819 + 0.298961i −0.833588 0.552386i \(-0.813717\pi\)
−0.524603 + 0.851347i \(0.675786\pi\)
\(272\) 2.32440 + 2.20179i 0.140937 + 0.133503i
\(273\) −39.2941 + 18.1794i −2.37818 + 1.10027i
\(274\) 12.2285 5.65749i 0.738749 0.341782i
\(275\) −4.66330 2.47232i −0.281208 0.149087i
\(276\) −6.61774 3.98176i −0.398341 0.239674i
\(277\) −14.9307 + 12.6823i −0.897101 + 0.762004i −0.971949 0.235191i \(-0.924429\pi\)
0.0748486 + 0.997195i \(0.476153\pi\)
\(278\) −2.55813 2.17290i −0.153427 0.130322i
\(279\) −3.50900 2.66747i −0.210078 0.159697i
\(280\) 7.50294 11.0660i 0.448386 0.661320i
\(281\) 23.4224 22.1869i 1.39726 1.32356i 0.511607 0.859219i \(-0.329050\pi\)
0.885657 0.464340i \(-0.153708\pi\)
\(282\) −5.30503 + 13.3146i −0.315910 + 0.792874i
\(283\) 5.16047 18.5863i 0.306758 1.10484i −0.636089 0.771616i \(-0.719449\pi\)
0.942847 0.333227i \(-0.108137\pi\)
\(284\) 0.580433 0.763547i 0.0344424 0.0453082i
\(285\) 0.235093 + 1.43400i 0.0139257 + 0.0849431i
\(286\) −3.71671 3.15700i −0.219774 0.186677i
\(287\) −3.78993 11.2481i −0.223713 0.663956i
\(288\) −3.24237 3.42293i −0.191058 0.201698i
\(289\) 1.26305 7.70425i 0.0742970 0.453191i
\(290\) −3.55646 + 3.02088i −0.208843 + 0.177392i
\(291\) 26.2705 1.42434i 1.54000 0.0834965i
\(292\) −2.78043 + 5.24444i −0.162712 + 0.306908i
\(293\) 18.3046 6.16753i 1.06936 0.360311i 0.271059 0.962563i \(-0.412626\pi\)
0.798306 + 0.602252i \(0.205730\pi\)
\(294\) −9.10102 19.6715i −0.530782 1.14727i
\(295\) −0.174719 + 0.793755i −0.0101725 + 0.0462142i
\(296\) 3.46067 7.48012i 0.201147 0.434773i
\(297\) 1.92465 + 5.71217i 0.111680 + 0.331454i
\(298\) −1.16895 + 7.13027i −0.0677154 + 0.413046i
\(299\) −6.59223 10.9564i −0.381238 0.633623i
\(300\) −5.00458 9.43965i −0.288940 0.544998i
\(301\) −29.1916 27.6517i −1.68257 1.59382i
\(302\) 1.64097 4.87023i 0.0944273 0.280250i
\(303\) 0.0417320 + 0.0221249i 0.00239744 + 0.00127104i
\(304\) −0.329491 0.621486i −0.0188976 0.0356446i
\(305\) −3.41542 0.559930i −0.195566 0.0320615i
\(306\) 0.385202 1.74999i 0.0220205 0.100040i
\(307\) −9.80779 + 14.4654i −0.559760 + 0.825585i −0.997286 0.0736210i \(-0.976544\pi\)
0.437526 + 0.899206i \(0.355855\pi\)
\(308\) −6.26373 + 7.37423i −0.356909 + 0.420186i
\(309\) 19.8786 + 1.07779i 1.13085 + 0.0613131i
\(310\) 3.72179 + 2.52344i 0.211384 + 0.143322i
\(311\) −18.4034 7.33260i −1.04356 0.415794i −0.215545 0.976494i \(-0.569153\pi\)
−0.828019 + 0.560700i \(0.810532\pi\)
\(312\) −6.25625 22.5330i −0.354191 1.27568i
\(313\) 7.80944 + 0.849328i 0.441416 + 0.0480068i 0.326129 0.945325i \(-0.394256\pi\)
0.115287 + 0.993332i \(0.463221\pi\)
\(314\) 1.61135 + 14.8161i 0.0909337 + 0.836122i
\(315\) 4.22866 + 0.229272i 0.238258 + 0.0129180i
\(316\) 19.7353 10.4630i 1.11020 0.588591i
\(317\) −5.89107 + 7.74956i −0.330875 + 0.435259i −0.931206 0.364493i \(-0.881242\pi\)
0.600331 + 0.799752i \(0.295036\pi\)
\(318\) −0.443929 + 0.837338i −0.0248943 + 0.0469556i
\(319\) 6.62147 4.48947i 0.370731 0.251362i
\(320\) 1.77723 + 1.68348i 0.0993500 + 0.0941093i
\(321\) 5.52955 + 2.93158i 0.308629 + 0.163625i
\(322\) 8.02209 4.82673i 0.447054 0.268983i
\(323\) 0.946061 1.78446i 0.0526402 0.0992900i
\(324\) −4.20799 + 15.1558i −0.233777 + 0.841990i
\(325\) 17.6889i 0.981202i
\(326\) −2.48482 8.94951i −0.137621 0.495667i
\(327\) −20.3677 30.0401i −1.12634 1.66122i
\(328\) 6.32662 1.03720i 0.349329 0.0572696i
\(329\) 30.4791 + 35.8828i 1.68037 + 1.97828i
\(330\) 0.834587 + 2.09465i 0.0459425 + 0.115307i
\(331\) −1.51339 1.99084i −0.0831836 0.109426i 0.752619 0.658456i \(-0.228790\pi\)
−0.835803 + 0.549030i \(0.814997\pi\)
\(332\) −1.92700 2.26864i −0.105758 0.124508i
\(333\) 2.59531 0.282257i 0.142222 0.0154676i
\(334\) 1.69523 + 0.373148i 0.0927587 + 0.0204177i
\(335\) −0.607270 2.18719i −0.0331787 0.119499i
\(336\) −9.33734 + 2.59250i −0.509394 + 0.141432i
\(337\) −0.960601 + 0.909930i −0.0523273 + 0.0495670i −0.713416 0.700740i \(-0.752853\pi\)
0.661089 + 0.750307i \(0.270095\pi\)
\(338\) 1.46133 6.63888i 0.0794857 0.361107i
\(339\) −3.66997 + 33.7448i −0.199325 + 1.83277i
\(340\) 0.801388 4.88825i 0.0434614 0.265103i
\(341\) −5.87556 4.99074i −0.318179 0.270264i
\(342\) −0.202967 + 0.337334i −0.0109752 + 0.0182409i
\(343\) −38.2099 2.07168i −2.06314 0.111860i
\(344\) 17.2897 13.1433i 0.932199 0.708639i
\(345\) 0.320084 + 5.90360i 0.0172327 + 0.317839i
\(346\) 4.87139 + 5.73505i 0.261888 + 0.308318i
\(347\) −15.2188 + 16.0662i −0.816985 + 0.862481i −0.992531 0.121990i \(-0.961072\pi\)
0.175546 + 0.984471i \(0.443831\pi\)
\(348\) 16.1938 0.868081
\(349\) 12.5495 13.8387i 0.671759 0.740770i
\(350\) 12.9515 0.692288
\(351\) −13.8922 + 14.6658i −0.741508 + 0.782801i
\(352\) −5.33838 6.28482i −0.284537 0.334982i
\(353\) 0.0733953 + 1.35370i 0.00390644 + 0.0720500i 0.999837 0.0180787i \(-0.00575493\pi\)
−0.995930 + 0.0901287i \(0.971272\pi\)
\(354\) −0.828640 + 0.629916i −0.0440417 + 0.0334797i
\(355\) −0.733141 0.0397498i −0.0389111 0.00210970i
\(356\) −12.4653 + 20.7175i −0.660659 + 1.09802i
\(357\) −21.2067 18.0131i −1.12238 0.953354i
\(358\) 0.0405643 0.247431i 0.00214389 0.0130771i
\(359\) −1.00505 + 9.24129i −0.0530445 + 0.487736i 0.937240 + 0.348684i \(0.113371\pi\)
−0.990285 + 0.139053i \(0.955594\pi\)
\(360\) −0.491722 + 2.23392i −0.0259160 + 0.117738i
\(361\) 13.4718 12.7611i 0.709040 0.671638i
\(362\) 14.4554 4.01353i 0.759760 0.210946i
\(363\) 4.70612 + 16.9499i 0.247007 + 0.889640i
\(364\) −31.6676 6.97056i −1.65983 0.365357i
\(365\) 4.51738 0.491294i 0.236450 0.0257155i
\(366\) −2.86952 3.37825i −0.149992 0.176584i
\(367\) 5.37556 + 7.07143i 0.280602 + 0.369126i 0.914705 0.404123i \(-0.132423\pi\)
−0.634102 + 0.773249i \(0.718630\pi\)
\(368\) −1.05932 2.65869i −0.0552209 0.138594i
\(369\) 1.31465 + 1.54773i 0.0684382 + 0.0805717i
\(370\) −2.62814 + 0.430862i −0.136631 + 0.0223994i
\(371\) 1.74707 + 2.57674i 0.0907035 + 0.133778i
\(372\) −4.17478 15.0362i −0.216452 0.779591i
\(373\) 28.5785i 1.47974i 0.672749 + 0.739870i \(0.265113\pi\)
−0.672749 + 0.739870i \(0.734887\pi\)
\(374\) 0.838420 3.01972i 0.0433537 0.156146i
\(375\) −8.94008 + 16.8628i −0.461664 + 0.870791i
\(376\) −21.7895 + 13.1103i −1.12371 + 0.676114i
\(377\) 23.6875 + 12.5583i 1.21997 + 0.646786i
\(378\) −10.7381 10.1716i −0.552306 0.523172i
\(379\) −15.5172 + 10.5209i −0.797067 + 0.540425i −0.890383 0.455212i \(-0.849563\pi\)
0.0933165 + 0.995636i \(0.470253\pi\)
\(380\) −0.509776 + 0.961539i −0.0261510 + 0.0493259i
\(381\) 5.28185 6.94815i 0.270597 0.355965i
\(382\) −11.4194 + 6.05416i −0.584266 + 0.309758i
\(383\) −12.1595 0.659270i −0.621322 0.0336871i −0.259209 0.965821i \(-0.583462\pi\)
−0.362113 + 0.932134i \(0.617945\pi\)
\(384\) −2.13176 19.6012i −0.108786 1.00027i
\(385\) 7.36325 + 0.800801i 0.375266 + 0.0408126i
\(386\) 1.01736 + 3.66421i 0.0517824 + 0.186503i
\(387\) 6.39066 + 2.54627i 0.324855 + 0.129434i
\(388\) 16.3086 + 11.0575i 0.827945 + 0.561360i
\(389\) 31.7628 + 1.72213i 1.61044 + 0.0873154i 0.837235 0.546843i \(-0.184171\pi\)
0.773203 + 0.634159i \(0.218653\pi\)
\(390\) −4.89204 + 5.75936i −0.247718 + 0.291637i
\(391\) 4.61155 6.80152i 0.233216 0.343968i
\(392\) 8.26704 37.5575i 0.417549 1.89694i
\(393\) −29.3332 4.80894i −1.47966 0.242579i
\(394\) −9.11223 17.1875i −0.459067 0.865893i
\(395\) −15.1077 8.00959i −0.760150 0.403006i
\(396\) 0.528552 1.56869i 0.0265608 0.0788295i
\(397\) −19.1759 18.1643i −0.962409 0.911642i 0.0337301 0.999431i \(-0.489261\pi\)
−0.996139 + 0.0877888i \(0.972020\pi\)
\(398\) −2.81167 5.30337i −0.140936 0.265834i
\(399\) 3.15167 + 5.23811i 0.157781 + 0.262234i
\(400\) 0.640524 3.90702i 0.0320262 0.195351i
\(401\) −10.2983 30.5641i −0.514271 1.52630i −0.818961 0.573849i \(-0.805450\pi\)
0.304691 0.952451i \(-0.401447\pi\)
\(402\) 1.22064 2.63837i 0.0608801 0.131590i
\(403\) 5.55392 25.2317i 0.276661 1.25688i
\(404\) 0.0148538 + 0.0321059i 0.000739002 + 0.00159733i
\(405\) 11.4106 3.84467i 0.566996 0.191043i
\(406\) −9.19501 + 17.3436i −0.456341 + 0.860750i
\(407\) 4.55918 0.247192i 0.225990 0.0122528i
\(408\) 11.4544 9.72946i 0.567078 0.481680i
\(409\) −2.55346 + 15.5754i −0.126260 + 0.770154i 0.845463 + 0.534033i \(0.179324\pi\)
−0.971724 + 0.236121i \(0.924124\pi\)
\(410\) −1.42466 1.50400i −0.0703591 0.0742772i
\(411\) 11.4294 + 33.9212i 0.563770 + 1.67321i
\(412\) 11.3636 + 9.65232i 0.559844 + 0.475536i
\(413\) 0.553156 + 3.37410i 0.0272190 + 0.166029i
\(414\) −0.969342 + 1.27515i −0.0476406 + 0.0626701i
\(415\) −0.609594 + 2.19556i −0.0299238 + 0.107776i
\(416\) 10.2289 25.6726i 0.501513 1.25870i
\(417\) 6.47354 6.13206i 0.317011 0.300288i
\(418\) −0.386404 + 0.569903i −0.0188996 + 0.0278749i
\(419\) −10.1543 7.71911i −0.496071 0.377103i 0.327016 0.945019i \(-0.393957\pi\)
−0.823087 + 0.567916i \(0.807750\pi\)
\(420\) 11.4270 + 9.70619i 0.557581 + 0.473613i
\(421\) −5.21947 + 4.43346i −0.254381 + 0.216073i −0.765499 0.643438i \(-0.777508\pi\)
0.511117 + 0.859511i \(0.329232\pi\)
\(422\) 0.119180 + 0.0717082i 0.00580159 + 0.00349070i
\(423\) −7.11654 3.77295i −0.346018 0.183447i
\(424\) −1.52611 + 0.706055i −0.0741146 + 0.0342891i
\(425\) 10.3172 4.77327i 0.500460 0.231537i
\(426\) −0.682654 0.646644i −0.0330747 0.0313300i
\(427\) −14.2196 + 3.12996i −0.688133 + 0.151469i
\(428\) 1.96814 + 4.25407i 0.0951338 + 0.205628i
\(429\) 9.40540 8.90927i 0.454097 0.430144i
\(430\) −6.65052 2.24082i −0.320717 0.108062i
\(431\) −1.01847 9.36471i −0.0490582 0.451082i −0.992745 0.120241i \(-0.961633\pi\)
0.943687 0.330841i \(-0.107332\pi\)
\(432\) −3.59948 + 2.73625i −0.173180 + 0.131648i
\(433\) 3.13360 + 14.2361i 0.150591 + 0.684144i 0.990050 + 0.140719i \(0.0449415\pi\)
−0.839458 + 0.543424i \(0.817127\pi\)
\(434\) 18.4743 + 4.06650i 0.886794 + 0.195198i
\(435\) −6.95682 10.2605i −0.333554 0.491955i
\(436\) 1.47159 27.1420i 0.0704766 1.29986i
\(437\) −1.43729 + 1.09260i −0.0687549 + 0.0522661i
\(438\) 4.81669 + 3.26580i 0.230150 + 0.156046i
\(439\) 6.73013 + 1.86861i 0.321211 + 0.0891839i 0.424392 0.905479i \(-0.360488\pi\)
−0.103180 + 0.994663i \(0.532902\pi\)
\(440\) −1.07027 + 3.85476i −0.0510231 + 0.183768i
\(441\) 11.5435 3.88946i 0.549691 0.185212i
\(442\) 10.2574 2.25782i 0.487895 0.107394i
\(443\) −9.41069 17.7504i −0.447115 0.843349i −0.999949 0.0100576i \(-0.996799\pi\)
0.552834 0.833291i \(-0.313546\pi\)
\(444\) 7.91946 + 4.76498i 0.375841 + 0.226136i
\(445\) 18.4818 1.00205i 0.876120 0.0475019i
\(446\) −0.205904 + 0.270863i −0.00974986 + 0.0128257i
\(447\) −18.4957 5.13532i −0.874819 0.242892i
\(448\) 9.56688 + 3.81179i 0.451993 + 0.180090i
\(449\) −15.7838 3.47428i −0.744885 0.163961i −0.173718 0.984795i \(-0.555578\pi\)
−0.571167 + 0.820834i \(0.693509\pi\)
\(450\) −2.05846 + 0.820167i −0.0970369 + 0.0386630i
\(451\) 2.14937 + 2.82744i 0.101210 + 0.133139i
\(452\) −17.4825 + 18.4561i −0.822309 + 0.868101i
\(453\) 12.3912 + 5.73280i 0.582191 + 0.269350i
\(454\) −9.94966 + 10.5037i −0.466961 + 0.492964i
\(455\) 9.18768 + 23.0593i 0.430725 + 1.08104i
\(456\) −3.06741 + 1.22217i −0.143645 + 0.0572333i
\(457\) 2.35815 + 3.47801i 0.110310 + 0.162695i 0.878837 0.477123i \(-0.158320\pi\)
−0.768527 + 0.639817i \(0.779010\pi\)
\(458\) 15.5346 + 1.68949i 0.725886 + 0.0789449i
\(459\) −12.3027 4.14527i −0.574242 0.193485i
\(460\) −2.48489 + 3.66494i −0.115859 + 0.170879i
\(461\) 7.97965 17.2477i 0.371649 0.803307i −0.628035 0.778185i \(-0.716141\pi\)
0.999684 0.0251217i \(-0.00799731\pi\)
\(462\) 6.52323 + 6.88650i 0.303488 + 0.320389i
\(463\) −6.08552 18.0612i −0.282818 0.839374i −0.991061 0.133406i \(-0.957409\pi\)
0.708243 0.705968i \(-0.249488\pi\)
\(464\) 4.77722 + 3.63155i 0.221777 + 0.168591i
\(465\) −7.73358 + 9.10468i −0.358636 + 0.422219i
\(466\) 1.86004 + 17.1027i 0.0861645 + 0.792269i
\(467\) −1.57789 + 29.1026i −0.0730163 + 1.34671i 0.700828 + 0.713330i \(0.252814\pi\)
−0.773844 + 0.633376i \(0.781669\pi\)
\(468\) 5.47454 0.897505i 0.253060 0.0414872i
\(469\) −5.77895 7.60208i −0.266847 0.351031i
\(470\) 7.45769 + 3.45030i 0.343998 + 0.159150i
\(471\) −39.5931 −1.82436
\(472\) −1.84679 −0.0850055
\(473\) 10.9196 + 5.05193i 0.502082 + 0.232288i
\(474\) −8.10571 20.3438i −0.372307 0.934421i
\(475\) −2.48296 + 0.270038i −0.113926 + 0.0123902i
\(476\) −4.47970 20.3515i −0.205326 0.932808i
\(477\) −0.440847 0.298902i −0.0201850 0.0136858i
\(478\) 19.4194 10.2955i 0.888223 0.470906i
\(479\) 0.267771 + 1.63333i 0.0122348 + 0.0746287i 0.992238 0.124352i \(-0.0396852\pi\)
−0.980003 + 0.198981i \(0.936237\pi\)
\(480\) −9.73887 + 8.27227i −0.444517 + 0.377576i
\(481\) 7.88893 + 13.1115i 0.359704 + 0.597833i
\(482\) −11.8332 1.93996i −0.538988 0.0883627i
\(483\) 10.4435 + 22.5732i 0.475195 + 1.02712i
\(484\) −4.87643 + 12.2389i −0.221656 + 0.556315i
\(485\) 15.0835i 0.684908i
\(486\) 5.56358 + 2.21673i 0.252369 + 0.100553i
\(487\) 3.86483 + 17.5581i 0.175132 + 0.795634i 0.979491 + 0.201489i \(0.0645782\pi\)
−0.804358 + 0.594144i \(0.797491\pi\)
\(488\) −0.425765 7.85278i −0.0192735 0.355479i
\(489\) 24.3499 3.99197i 1.10114 0.180523i
\(490\) −11.5441 + 4.59957i −0.521507 + 0.207788i
\(491\) 35.8441 3.89828i 1.61762 0.175927i 0.745945 0.666007i \(-0.231998\pi\)
0.871677 + 0.490080i \(0.163032\pi\)
\(492\) 0.389226 + 7.17886i 0.0175477 + 0.323648i
\(493\) −0.932818 + 17.2048i −0.0420120 + 0.774866i
\(494\) −2.29403 0.249491i −0.103213 0.0112251i
\(495\) −1.22100 + 0.339008i −0.0548797 + 0.0152373i
\(496\) 2.14038 5.37194i 0.0961057 0.241207i
\(497\) −2.92706 + 0.986241i −0.131296 + 0.0442389i
\(498\) −2.41535 + 1.63765i −0.108234 + 0.0733847i
\(499\) 2.59096 7.68968i 0.115987 0.344237i −0.873898 0.486110i \(-0.838416\pi\)
0.989885 + 0.141872i \(0.0453122\pi\)
\(500\) −12.9731 + 6.00201i −0.580176 + 0.268418i
\(501\) −1.47243 + 4.37002i −0.0657834 + 0.195238i
\(502\) 4.11423 2.47545i 0.183627 0.110485i
\(503\) 7.60861 0.412527i 0.339251 0.0183937i 0.116274 0.993217i \(-0.462905\pi\)
0.222978 + 0.974824i \(0.428422\pi\)
\(504\) 1.55678 + 9.49596i 0.0693446 + 0.422984i
\(505\) 0.0139614 0.0232040i 0.000621274 0.00103257i
\(506\) −1.81360 + 2.13514i −0.0806245 + 0.0949184i
\(507\) 17.1140 + 5.76636i 0.760057 + 0.256093i
\(508\) 6.29832 1.74872i 0.279443 0.0775869i
\(509\) 20.1003i 0.890929i 0.895300 + 0.445465i \(0.146962\pi\)
−0.895300 + 0.445465i \(0.853038\pi\)
\(510\) −4.67931 1.29920i −0.207203 0.0575297i
\(511\) 16.8892 8.95408i 0.747134 0.396105i
\(512\) 5.95575 9.89853i 0.263209 0.437458i
\(513\) 2.27069 + 1.72613i 0.100253 + 0.0762105i
\(514\) −2.99889 + 6.48199i −0.132275 + 0.285908i
\(515\) 1.23402 11.3467i 0.0543775 0.499993i
\(516\) 12.5562 + 20.8686i 0.552757 + 0.918690i
\(517\) −12.0711 7.26294i −0.530886 0.319424i
\(518\) −9.60004 + 5.77615i −0.421802 + 0.253790i
\(519\) −16.5459 + 11.2184i −0.726282 + 0.492432i
\(520\) −13.0939 + 2.88218i −0.574205 + 0.126392i
\(521\) −5.68692 0.932323i −0.249148 0.0408458i 0.0359135 0.999355i \(-0.488566\pi\)
−0.285062 + 0.958509i \(0.592014\pi\)
\(522\) 0.363117 3.33881i 0.0158932 0.146136i
\(523\) 27.0918 + 28.6004i 1.18464 + 1.25061i 0.961188 + 0.275896i \(0.0889744\pi\)
0.223453 + 0.974715i \(0.428267\pi\)
\(524\) −15.3095 16.1621i −0.668801 0.706044i
\(525\) −3.72011 + 34.2058i −0.162359 + 1.49286i
\(526\) 18.1562 + 2.97655i 0.791646 + 0.129784i
\(527\) 16.2154 3.56928i 0.706354 0.155480i
\(528\) 2.40002 1.62726i 0.104448 0.0708173i
\(529\) 13.4136 8.07070i 0.583201 0.350900i
\(530\) 0.465580 + 0.280130i 0.0202235 + 0.0121681i
\(531\) −0.301584 0.501237i −0.0130876 0.0217518i
\(532\) −0.495009 + 4.55154i −0.0214614 + 0.197334i
\(533\) −4.99786 + 10.8027i −0.216481 + 0.467917i
\(534\) 18.8706 + 14.3451i 0.816613 + 0.620773i
\(535\) 1.84990 3.07457i 0.0799784 0.132925i
\(536\) 4.55703 2.41598i 0.196834 0.104355i
\(537\) 0.641830 + 0.178203i 0.0276970 + 0.00769004i
\(538\) 4.89938i 0.211227i
\(539\) 20.5279 5.69954i 0.884199 0.245497i
\(540\) 6.62920 + 2.23364i 0.285276 + 0.0961205i
\(541\) 17.7368 20.8813i 0.762563 0.897759i −0.234672 0.972075i \(-0.575402\pi\)
0.997235 + 0.0743161i \(0.0236774\pi\)
\(542\) −8.66630 + 14.4035i −0.372249 + 0.618683i
\(543\) 6.44791 + 39.3305i 0.276706 + 1.68783i
\(544\) 17.7341 0.961514i 0.760342 0.0412246i
\(545\) −17.8295 + 10.7277i −0.763734 + 0.459523i
\(546\) −10.1504 + 30.1254i −0.434399 + 1.28925i
\(547\) 31.0146 14.3489i 1.32609 0.613514i 0.376326 0.926487i \(-0.377187\pi\)
0.949762 + 0.312973i \(0.101325\pi\)
\(548\) −8.55988 + 25.4048i −0.365660 + 1.08524i
\(549\) 2.06179 1.39793i 0.0879951 0.0596622i
\(550\) −3.67257 + 1.23743i −0.156599 + 0.0527643i
\(551\) 1.40118 3.51669i 0.0596921 0.149816i
\(552\) −12.9445 + 3.59403i −0.550955 + 0.152972i
\(553\) −71.5136 7.77758i −3.04107 0.330736i
\(554\) −0.778723 + 14.3627i −0.0330848 + 0.610213i
\(555\) −0.383045 7.06485i −0.0162593 0.299886i
\(556\) 6.63895 0.722030i 0.281554 0.0306209i
\(557\) 35.7951 14.2621i 1.51669 0.604303i 0.544552 0.838727i \(-0.316700\pi\)
0.972134 + 0.234424i \(0.0753206\pi\)
\(558\) −3.19374 + 0.523588i −0.135202 + 0.0221652i
\(559\) 2.18299 + 40.2629i 0.0923306 + 1.70294i
\(560\) 1.19433 + 5.42591i 0.0504698 + 0.229287i
\(561\) 7.73444 + 3.08168i 0.326548 + 0.130109i
\(562\) 23.6885i 0.999239i
\(563\) −3.76621 + 9.45247i −0.158727 + 0.398374i −0.986734 0.162343i \(-0.948095\pi\)
0.828008 + 0.560717i \(0.189474\pi\)
\(564\) −11.9739 25.8812i −0.504192 1.08979i
\(565\) 19.2043 + 3.14839i 0.807933 + 0.132454i
\(566\) −7.30185 12.1358i −0.306920 0.510105i
\(567\) 38.6067 32.7928i 1.62133 1.37717i
\(568\) −0.269906 1.64635i −0.0113250 0.0690795i
\(569\) 32.6080 17.2877i 1.36700 0.724737i 0.386691 0.922209i \(-0.373618\pi\)
0.980309 + 0.197472i \(0.0632731\pi\)
\(570\) 0.883114 + 0.598766i 0.0369896 + 0.0250795i
\(571\) −8.56587 38.9152i −0.358471 1.62855i −0.718443 0.695586i \(-0.755145\pi\)
0.359973 0.932963i \(-0.382786\pi\)
\(572\) 9.64573 1.04904i 0.403308 0.0438624i
\(573\) −12.7094 31.8982i −0.530943 1.33257i
\(574\) −7.90957 3.65936i −0.330139 0.152739i
\(575\) −10.1617 −0.423773
\(576\) −1.76191 −0.0734128
\(577\) 32.2119 + 14.9028i 1.34100 + 0.620412i 0.953482 0.301450i \(-0.0974706\pi\)
0.387518 + 0.921862i \(0.373333\pi\)
\(578\) −3.46904 4.56345i −0.144293 0.189814i
\(579\) −9.96963 + 1.63444i −0.414324 + 0.0679250i
\(580\) 0.502640 9.27065i 0.0208710 0.384943i
\(581\) 1.03640 + 9.52959i 0.0429973 + 0.395354i
\(582\) 12.5057 14.7229i 0.518378 0.610282i
\(583\) −0.741595 0.563746i −0.0307137 0.0233480i
\(584\) 3.29684 + 9.78467i 0.136424 + 0.404893i
\(585\) −2.92051 3.08314i −0.120748 0.127472i
\(586\) 5.95504 12.8716i 0.246000 0.531721i
\(587\) 5.31863 7.84439i 0.219523 0.323773i −0.701941 0.712235i \(-0.747683\pi\)
0.921465 + 0.388462i \(0.126994\pi\)
\(588\) 40.8679 + 13.7700i 1.68536 + 0.567865i
\(589\) −3.62652 0.394408i −0.149428 0.0162513i
\(590\) 0.334894 + 0.493932i 0.0137874 + 0.0203349i
\(591\) 48.0106 19.1292i 1.97489 0.786868i
\(592\) 1.26769 + 3.18166i 0.0521017 + 0.130765i
\(593\) −14.7792 + 15.6022i −0.606908 + 0.640705i −0.954948 0.296775i \(-0.904089\pi\)
0.348039 + 0.937480i \(0.386848\pi\)
\(594\) 4.01674 + 1.85834i 0.164809 + 0.0762487i
\(595\) −10.9704 + 11.5813i −0.449742 + 0.474786i
\(596\) −8.70007 11.4448i −0.356369 0.468795i
\(597\) 14.8141 5.90250i 0.606303 0.241573i
\(598\) −9.16904 2.01826i −0.374950 0.0825327i
\(599\) −21.6901 8.64212i −0.886233 0.353108i −0.117800 0.993037i \(-0.537584\pi\)
−0.768433 + 0.639930i \(0.778963\pi\)
\(600\) −17.9072 4.97191i −0.731059 0.202977i
\(601\) −25.3518 + 33.3497i −1.03412 + 1.36036i −0.103395 + 0.994640i \(0.532971\pi\)
−0.930725 + 0.365721i \(0.880822\pi\)
\(602\) −29.4799 + 1.59835i −1.20151 + 0.0651440i
\(603\) 1.39989 + 0.842287i 0.0570080 + 0.0343006i
\(604\) 4.78963 + 9.03420i 0.194887 + 0.367596i
\(605\) 9.84957 2.16805i 0.400442 0.0881439i
\(606\) 0.0328659 0.0110738i 0.00133509 0.000449843i
\(607\) 7.80191 28.0999i 0.316670 1.14054i −0.618338 0.785913i \(-0.712194\pi\)
0.935007 0.354628i \(-0.115393\pi\)
\(608\) −3.75978 1.04390i −0.152479 0.0423356i
\(609\) −43.1645 29.2663i −1.74911 1.18593i
\(610\) −2.02305 + 1.53788i −0.0819109 + 0.0622671i
\(611\) 2.55604 47.1434i 0.103406 1.90722i
\(612\) 2.00076 + 2.95090i 0.0808759 + 0.119283i
\(613\) −28.8148 6.34261i −1.16382 0.256176i −0.409266 0.912415i \(-0.634215\pi\)
−0.754553 + 0.656239i \(0.772146\pi\)
\(614\) 2.75856 + 12.5323i 0.111326 + 0.505761i
\(615\) 4.38137 3.33063i 0.176674 0.134304i
\(616\) 1.81963 + 16.7312i 0.0733148 + 0.674119i
\(617\) −1.79971 0.606394i −0.0724538 0.0244125i 0.282841 0.959167i \(-0.408723\pi\)
−0.355295 + 0.934754i \(0.615620\pi\)
\(618\) 10.6120 10.0522i 0.426877 0.404359i
\(619\) −9.83713 21.2626i −0.395388 0.854616i −0.998382 0.0568705i \(-0.981888\pi\)
0.602994 0.797746i \(-0.293974\pi\)
\(620\) −8.73752 + 1.92327i −0.350907 + 0.0772405i
\(621\) 8.42504 + 7.98062i 0.338085 + 0.320251i
\(622\) −13.2013 + 6.10757i −0.529324 + 0.244891i
\(623\) 70.6677 32.6943i 2.83124 1.30987i
\(624\) 8.58579 + 4.55190i 0.343707 + 0.182222i
\(625\) −6.68712 4.02350i −0.267485 0.160940i
\(626\) 4.39603 3.73402i 0.175701 0.149241i
\(627\) −1.39416 1.18421i −0.0556775 0.0472929i
\(628\) −23.6063 17.9451i −0.941996 0.716086i
\(629\) −5.51864 + 8.13939i −0.220043 + 0.324539i
\(630\) 2.25743 2.13835i 0.0899382 0.0851939i
\(631\) −5.92879 + 14.8801i −0.236022 + 0.592369i −0.998506 0.0546368i \(-0.982600\pi\)
0.762485 + 0.647006i \(0.223979\pi\)
\(632\) 10.3947 37.4384i 0.413479 1.48922i
\(633\) −0.223618 + 0.294165i −0.00888803 + 0.0116920i
\(634\) 1.15633 + 7.05333i 0.0459239 + 0.280123i
\(635\) −3.81374 3.23942i −0.151344 0.128552i
\(636\) −0.602097 1.78696i −0.0238747 0.0708576i
\(637\) 49.1008 + 51.8351i 1.94544 + 2.05378i
\(638\) 0.950292 5.79653i 0.0376224 0.229487i
\(639\) 0.402760 0.342108i 0.0159330 0.0135336i
\(640\) −11.2875 + 0.611988i −0.446176 + 0.0241910i
\(641\) 18.5861 35.0571i 0.734106 1.38467i −0.181823 0.983331i \(-0.558200\pi\)
0.915929 0.401340i \(-0.131455\pi\)
\(642\) 4.35478 1.46730i 0.171870 0.0579096i
\(643\) 3.25766 + 7.04133i 0.128470 + 0.277683i 0.961127 0.276105i \(-0.0890438\pi\)
−0.832658 + 0.553788i \(0.813182\pi\)
\(644\) −4.00438 + 18.1921i −0.157795 + 0.716868i
\(645\) 7.82840 16.9208i 0.308243 0.666256i
\(646\) −0.473516 1.40535i −0.0186302 0.0552926i
\(647\) 3.80883 23.2328i 0.149741 0.913377i −0.799922 0.600104i \(-0.795126\pi\)
0.949663 0.313274i \(-0.101426\pi\)
\(648\) 14.1055 + 23.4436i 0.554118 + 0.920951i
\(649\) −0.479227 0.903918i −0.0188113 0.0354819i
\(650\) −9.42918 8.93179i −0.369843 0.350334i
\(651\) −16.0463 + 47.6237i −0.628904 + 1.86652i
\(652\) 16.3273 + 8.65619i 0.639426 + 0.339002i
\(653\) −12.2172 23.0441i −0.478096 0.901784i −0.998844 0.0480738i \(-0.984692\pi\)
0.520748 0.853710i \(-0.325653\pi\)
\(654\) −26.2975 4.31126i −1.02831 0.168583i
\(655\) −3.66349 + 16.6434i −0.143145 + 0.650312i
\(656\) −1.49507 + 2.20507i −0.0583728 + 0.0860934i
\(657\) −2.11728 + 2.49265i −0.0826028 + 0.0972475i
\(658\) 34.5177 + 1.87149i 1.34564 + 0.0729584i
\(659\) −12.1457 8.23497i −0.473128 0.320789i 0.301213 0.953557i \(-0.402608\pi\)
−0.774342 + 0.632768i \(0.781919\pi\)
\(660\) −4.16763 1.66054i −0.162225 0.0646363i
\(661\) −11.3371 40.8325i −0.440962 1.58820i −0.766222 0.642576i \(-0.777866\pi\)
0.325260 0.945625i \(-0.394548\pi\)
\(662\) −1.82540 0.198524i −0.0709461 0.00771586i
\(663\) 3.01679 + 27.7390i 0.117163 + 1.07729i
\(664\) −5.17000 0.280309i −0.200635 0.0108781i
\(665\) 3.09654 1.64168i 0.120079 0.0636617i
\(666\) 1.16001 1.52597i 0.0449496 0.0591301i
\(667\) 7.21437 13.6078i 0.279342 0.526894i
\(668\) −2.85855 + 1.93815i −0.110601 + 0.0749892i
\(669\) −0.656223 0.621607i −0.0253710 0.0240327i
\(670\) −1.47253 0.780686i −0.0568888 0.0301605i
\(671\) 3.73309 2.24612i 0.144114 0.0867106i
\(672\) −25.1793 + 47.4931i −0.971311 + 1.83209i
\(673\) −3.21294 + 11.5720i −0.123850 + 0.446067i −0.999307 0.0372294i \(-0.988147\pi\)
0.875457 + 0.483296i \(0.160561\pi\)
\(674\) 0.971513i 0.0374213i
\(675\) 4.29487 + 15.4687i 0.165310 + 0.595391i
\(676\) 7.59021 + 11.1947i 0.291931 + 0.430566i
\(677\) −45.4054 + 7.44383i −1.74507 + 0.286090i −0.948110 0.317942i \(-0.897008\pi\)
−0.796960 + 0.604032i \(0.793560\pi\)
\(678\) 16.1348 + 18.9954i 0.619653 + 0.729512i
\(679\) −23.4868 58.9474i −0.901340 2.26219i
\(680\) −5.21439 6.85942i −0.199963 0.263047i
\(681\) −24.8831 29.2947i −0.953524 1.12258i
\(682\) −5.62714 + 0.611989i −0.215474 + 0.0234343i
\(683\) −37.1678 8.18125i −1.42219 0.313047i −0.563740 0.825952i \(-0.690638\pi\)
−0.858445 + 0.512905i \(0.828569\pi\)
\(684\) −0.209555 0.754750i −0.00801255 0.0288586i
\(685\) 19.7740 5.49022i 0.755525 0.209770i
\(686\) −20.3979 + 19.3220i −0.778797 + 0.737716i
\(687\) −8.92412 + 40.5427i −0.340477 + 1.54680i
\(688\) −0.975774 + 8.97210i −0.0372010 + 0.342058i
\(689\) 0.505071 3.08080i 0.0192417 0.117369i
\(690\) 3.30858 + 2.81033i 0.125955 + 0.106988i
\(691\) −18.5719 + 30.8668i −0.706509 + 1.17423i 0.270847 + 0.962622i \(0.412696\pi\)
−0.977355 + 0.211604i \(0.932131\pi\)
\(692\) −14.9496 0.810544i −0.568298 0.0308122i
\(693\) −4.24386 + 3.22610i −0.161211 + 0.122549i
\(694\) 0.879690 + 16.2249i 0.0333926 + 0.615890i
\(695\) −3.30955 3.89631i −0.125539 0.147795i
\(696\) 19.3713 20.4500i 0.734267 0.775157i
\(697\) −7.64945 −0.289744
\(698\) −1.04010 13.6773i −0.0393685 0.517693i
\(699\) −45.7037 −1.72867
\(700\) −17.7214 + 18.7082i −0.669804 + 0.707104i
\(701\) −33.6256 39.5871i −1.27002 1.49518i −0.783324 0.621613i \(-0.786478\pi\)
−0.486697 0.873571i \(-0.661798\pi\)
\(702\) 0.803008 + 14.8106i 0.0303076 + 0.558991i
\(703\) 1.72001 1.30752i 0.0648713 0.0493139i
\(704\) −3.07700 0.166830i −0.115969 0.00628765i
\(705\) −11.2545 + 18.7052i −0.423871 + 0.704479i
\(706\) 0.758657 + 0.644409i 0.0285524 + 0.0242527i
\(707\) 0.0184307 0.112422i 0.000693158 0.00422808i
\(708\) 0.223914 2.05886i 0.00841521 0.0773765i
\(709\) 3.46861 15.7581i 0.130266 0.591806i −0.865581 0.500769i \(-0.833051\pi\)
0.995847 0.0910374i \(-0.0290183\pi\)
\(710\) −0.391380 + 0.370735i −0.0146882 + 0.0139134i
\(711\) 11.8586 3.29253i 0.444733 0.123479i
\(712\) 11.2514 + 40.5240i 0.421666 + 1.51870i
\(713\) −14.4949 3.19056i −0.542837 0.119487i
\(714\) −20.3101 + 2.20885i −0.760085 + 0.0826642i
\(715\) −4.80845 5.66094i −0.179826 0.211707i
\(716\) 0.301906 + 0.397150i 0.0112827 + 0.0148422i
\(717\) 21.6132 + 54.2451i 0.807161 + 2.02582i
\(718\) 4.41864 + 5.20203i 0.164902 + 0.194138i
\(719\) 28.6564 4.69798i 1.06870 0.175205i 0.398341 0.917238i \(-0.369586\pi\)
0.670364 + 0.742032i \(0.266138\pi\)
\(720\) −0.533424 0.786741i −0.0198795 0.0293201i
\(721\) −12.8454 46.2650i −0.478388 1.72300i
\(722\) 13.6248i 0.507062i
\(723\) 8.52244 30.6951i 0.316953 1.14156i
\(724\) −13.9817 + 26.3722i −0.519624 + 0.980115i
\(725\) 18.2568 10.9847i 0.678040 0.407963i
\(726\) 11.4116 + 6.05003i 0.423523 + 0.224538i
\(727\) −26.3816 24.9900i −0.978440 0.926828i 0.0188924 0.999822i \(-0.493986\pi\)
−0.997332 + 0.0729940i \(0.976745\pi\)
\(728\) −46.6838 + 31.6524i −1.73022 + 1.17312i
\(729\) 7.67727 14.4809i 0.284343 0.536328i
\(730\) 2.01911 2.65609i 0.0747306 0.0983064i
\(731\) −22.8947 + 12.1380i −0.846792 + 0.448941i
\(732\) 8.80612 + 0.477454i 0.325484 + 0.0176472i
\(733\) 1.46202 + 13.4430i 0.0540009 + 0.496530i 0.989640 + 0.143572i \(0.0458587\pi\)
−0.935639 + 0.352958i \(0.885176\pi\)
\(734\) 6.48381 + 0.705156i 0.239322 + 0.0260278i
\(735\) −8.83193 31.8097i −0.325771 1.17332i
\(736\) −14.7481 5.87620i −0.543624 0.216599i
\(737\) 2.36502 + 1.60353i 0.0871167 + 0.0590666i
\(738\) 1.48885 + 0.0807230i 0.0548053 + 0.00297146i
\(739\) 9.90926 11.6661i 0.364518 0.429144i −0.549075 0.835773i \(-0.685020\pi\)
0.913593 + 0.406629i \(0.133296\pi\)
\(740\) 2.97367 4.38583i 0.109314 0.161226i
\(741\) 1.31784 5.98703i 0.0484122 0.219939i
\(742\) 2.25571 + 0.369805i 0.0828098 + 0.0135760i
\(743\) −11.2756 21.2681i −0.413662 0.780249i 0.585884 0.810395i \(-0.300748\pi\)
−0.999546 + 0.0301461i \(0.990403\pi\)
\(744\) −23.9821 12.7145i −0.879226 0.466136i
\(745\) −3.51396 + 10.4291i −0.128741 + 0.382091i
\(746\) 15.2340 + 14.4304i 0.557756 + 0.528335i
\(747\) −0.768192 1.44896i −0.0281067 0.0530148i
\(748\) 3.21472 + 5.34291i 0.117542 + 0.195356i
\(749\) 2.44209 14.8961i 0.0892322 0.544292i
\(750\) 4.47464 + 13.2802i 0.163391 + 0.484926i
\(751\) 1.81127 3.91500i 0.0660942 0.142860i −0.871713 0.490017i \(-0.836991\pi\)
0.937807 + 0.347156i \(0.112853\pi\)
\(752\) 2.27165 10.3202i 0.0828386 0.376340i
\(753\) 5.35608 + 11.5770i 0.195186 + 0.421889i
\(754\) 18.6550 6.28561i 0.679376 0.228908i
\(755\) 3.66653 6.91580i 0.133439 0.251692i
\(756\) 29.3854 1.59323i 1.06874 0.0579452i
\(757\) −13.4263 + 11.4044i −0.487988 + 0.414500i −0.857310 0.514801i \(-0.827866\pi\)
0.369322 + 0.929301i \(0.379590\pi\)
\(758\) −2.22698 + 13.5840i −0.0808877 + 0.493393i
\(759\) −5.11811 5.40312i −0.185776 0.196121i
\(760\) 0.604458 + 1.79397i 0.0219260 + 0.0650740i
\(761\) 38.7743 + 32.9352i 1.40557 + 1.19390i 0.953302 + 0.302019i \(0.0976605\pi\)
0.452267 + 0.891883i \(0.350615\pi\)
\(762\) −1.03675 6.32391i −0.0375576 0.229091i
\(763\) −52.9748 + 69.6871i −1.91782 + 2.52284i
\(764\) 6.87981 24.7788i 0.248903 0.896467i
\(765\) 1.01019 2.53539i 0.0365236 0.0916673i
\(766\) −6.49124 + 6.14883i −0.234538 + 0.222166i
\(767\) 1.92417 2.83794i 0.0694778 0.102472i
\(768\) −18.3233 13.9290i −0.661186 0.502620i
\(769\) 5.73338 + 4.86997i 0.206751 + 0.175616i 0.744779 0.667311i \(-0.232555\pi\)
−0.538028 + 0.842927i \(0.680831\pi\)
\(770\) 4.14486 3.52067i 0.149370 0.126876i
\(771\) −16.2580 9.78209i −0.585516 0.352293i
\(772\) −6.68491 3.54412i −0.240595 0.127556i
\(773\) −14.2747 + 6.60420i −0.513427 + 0.237537i −0.659455 0.751744i \(-0.729213\pi\)
0.146028 + 0.989280i \(0.453351\pi\)
\(774\) 4.58420 2.12088i 0.164776 0.0762333i
\(775\) −14.9061 14.1198i −0.535443 0.507199i
\(776\) 33.4724 7.36782i 1.20159 0.264489i
\(777\) −12.4977 27.0134i −0.448354 0.969101i
\(778\) 16.9563 16.0618i 0.607911 0.575844i
\(779\) 1.59265 + 0.536628i 0.0570628 + 0.0192267i
\(780\) −1.62557 14.9469i −0.0582048 0.535184i
\(781\) 0.735775 0.559322i 0.0263281 0.0200141i
\(782\) −1.29705 5.89257i −0.0463825 0.210718i
\(783\) −23.7636 5.23077i −0.849242 0.186932i
\(784\) 8.96814 + 13.2270i 0.320291 + 0.472393i
\(785\) −1.22893 + 22.6663i −0.0438624 + 0.808995i
\(786\) −17.3749 + 13.2081i −0.619742 + 0.471116i
\(787\) −32.8914 22.3009i −1.17245 0.794941i −0.190059 0.981773i \(-0.560868\pi\)
−0.982392 + 0.186832i \(0.940178\pi\)
\(788\) 37.2951 + 10.3549i 1.32858 + 0.368879i
\(789\) −13.0763 + 47.0966i −0.465529 + 1.67668i
\(790\) −11.8980 + 4.00891i −0.423312 + 0.142631i
\(791\) 79.9542 17.5992i 2.84284 0.625757i
\(792\) −1.34872 2.54396i −0.0479247 0.0903956i
\(793\) 12.5109 + 7.52754i 0.444274 + 0.267311i
\(794\) −19.3653 + 1.04995i −0.687247 + 0.0372615i
\(795\) −0.873572 + 1.14916i −0.0309824 + 0.0407567i
\(796\) 11.5078 + 3.19512i 0.407882 + 0.113248i
\(797\) 33.5339 + 13.3611i 1.18783 + 0.473276i 0.878529 0.477688i \(-0.158525\pi\)
0.309303 + 0.950964i \(0.399904\pi\)
\(798\) 4.38361 + 0.964906i 0.155178 + 0.0341573i
\(799\) 28.1866 11.2306i 0.997172 0.397310i
\(800\) −13.2909 17.4839i −0.469905 0.618149i
\(801\) −9.16124 + 9.67140i −0.323696 + 0.341722i
\(802\) −21.4924 9.94345i −0.758924 0.351115i
\(803\) −3.93364 + 4.15269i −0.138815 + 0.146545i
\(804\) 2.14089 + 5.37323i 0.0755034 + 0.189499i
\(805\) 13.2469 5.27804i 0.466892 0.186027i
\(806\) −10.6456 15.7010i −0.374974 0.553045i
\(807\) −12.9396 1.40726i −0.455495 0.0495380i
\(808\) 0.0583125 + 0.0196478i 0.00205143 + 0.000691206i
\(809\) −22.1619 + 32.6863i −0.779169 + 1.14919i 0.206159 + 0.978519i \(0.433904\pi\)
−0.985328 + 0.170670i \(0.945407\pi\)
\(810\) 3.71221 8.02381i 0.130434 0.281928i
\(811\) −8.53398 9.00921i −0.299668 0.316356i 0.558720 0.829356i \(-0.311293\pi\)
−0.858388 + 0.513000i \(0.828534\pi\)
\(812\) −12.4711 37.0130i −0.437651 1.29890i
\(813\) −35.5513 27.0254i −1.24684 0.947822i
\(814\) 2.17034 2.55512i 0.0760704 0.0895570i
\(815\) −1.52953 14.0638i −0.0535770 0.492632i
\(816\) −0.338110 + 6.23607i −0.0118362 + 0.218306i
\(817\) 5.61831 0.921075i 0.196560 0.0322243i
\(818\) 7.01324 + 9.22576i 0.245212 + 0.322571i
\(819\) −16.2143 7.50155i −0.566575 0.262125i
\(820\) 4.12184 0.143941
\(821\) −37.6695 −1.31467 −0.657337 0.753597i \(-0.728317\pi\)
−0.657337 + 0.753597i \(0.728317\pi\)
\(822\) 23.8531 + 11.0356i 0.831971 + 0.384911i
\(823\) −8.05668 20.2207i −0.280838 0.704850i −0.999950 0.00995659i \(-0.996831\pi\)
0.719112 0.694894i \(-0.244549\pi\)
\(824\) 25.7825 2.80402i 0.898176 0.0976825i
\(825\) −2.21325 10.0549i −0.0770556 0.350067i
\(826\) 2.07790 + 1.40885i 0.0722993 + 0.0490201i
\(827\) −35.8695 + 19.0168i −1.24730 + 0.661279i −0.955441 0.295182i \(-0.904620\pi\)
−0.291862 + 0.956460i \(0.594275\pi\)
\(828\) −0.515589 3.14496i −0.0179180 0.109295i
\(829\) −9.36130 + 7.95156i −0.325132 + 0.276169i −0.795054 0.606538i \(-0.792558\pi\)
0.469923 + 0.882708i \(0.344282\pi\)
\(830\) 0.862550 + 1.43357i 0.0299395 + 0.0497599i
\(831\) −37.7091 6.18210i −1.30811 0.214455i
\(832\) −4.33630 9.37275i −0.150334 0.324942i
\(833\) −16.9838 + 42.6261i −0.588453 + 1.47691i
\(834\) 6.54708i 0.226707i
\(835\) 2.45605 + 0.978579i 0.0849951 + 0.0338651i
\(836\) −0.294503 1.33794i −0.0101856 0.0462736i
\(837\) 1.26943 + 23.4133i 0.0438781 + 0.809284i
\(838\) −9.24203 + 1.51515i −0.319261 + 0.0523401i
\(839\) 5.02013 2.00020i 0.173314 0.0690547i −0.281867 0.959453i \(-0.590954\pi\)
0.455181 + 0.890399i \(0.349574\pi\)
\(840\) 25.9264 2.81967i 0.894546 0.0972877i
\(841\) 0.178335 + 3.28920i 0.00614950 + 0.113421i
\(842\) −0.272225 + 5.02090i −0.00938150 + 0.173032i
\(843\) 62.5628 + 6.80412i 2.15478 + 0.234346i
\(844\) −0.266653 + 0.0740358i −0.00917857 + 0.00254842i
\(845\) 3.83233 9.61842i 0.131836 0.330884i
\(846\) −5.60461 + 1.88841i −0.192691 + 0.0649250i
\(847\) 35.1168 23.8098i 1.20663 0.818115i
\(848\) 0.223115 0.662181i 0.00766179 0.0227394i
\(849\) 34.1487 15.7989i 1.17198 0.542215i
\(850\) 2.66515 7.90988i 0.0914139 0.271307i
\(851\) 7.53216 4.53195i 0.258199 0.155353i
\(852\) 1.86813 0.101287i 0.0640010 0.00347003i
\(853\) −1.69659 10.3487i −0.0580900 0.354334i −0.999838 0.0180134i \(-0.994266\pi\)
0.941748 0.336320i \(-0.109182\pi\)
\(854\) −5.51155 + 9.16027i −0.188601 + 0.313458i
\(855\) −0.388191 + 0.457014i −0.0132759 + 0.0156295i
\(856\) 7.72649 + 2.60336i 0.264086 + 0.0889809i
\(857\) −20.4275 + 5.67168i −0.697792 + 0.193741i −0.598270 0.801294i \(-0.704145\pi\)
−0.0995216 + 0.995035i \(0.531731\pi\)
\(858\) 9.51225i 0.324743i
\(859\) 38.5918 + 10.7150i 1.31673 + 0.365590i 0.853707 0.520754i \(-0.174349\pi\)
0.463028 + 0.886344i \(0.346763\pi\)
\(860\) 12.3366 6.54046i 0.420675 0.223028i
\(861\) 11.9365 19.8386i 0.406794 0.676098i
\(862\) −5.50619 4.18570i −0.187542 0.142565i
\(863\) 8.37119 18.0940i 0.284959 0.615928i −0.711249 0.702941i \(-0.751870\pi\)
0.996207 + 0.0870126i \(0.0277321\pi\)
\(864\) −2.71173 + 24.9340i −0.0922551 + 0.848271i
\(865\) 5.90873 + 9.82038i 0.200903 + 0.333903i
\(866\) 9.17093 + 5.51797i 0.311641 + 0.187508i
\(867\) 13.0488 7.85119i 0.443160 0.266640i
\(868\) −31.1520 + 21.1216i −1.05737 + 0.716913i
\(869\) 21.0217 4.62722i 0.713112 0.156968i
\(870\) −8.98221 1.47256i −0.304526 0.0499244i
\(871\) −1.03536 + 9.51994i −0.0350817 + 0.322571i
\(872\) −32.5153 34.3260i −1.10111 1.16242i
\(873\) 7.46579 + 7.88154i 0.252679 + 0.266750i
\(874\) −0.143325 + 1.31785i −0.00484805 + 0.0445771i
\(875\) 45.4268 + 7.44735i 1.53571 + 0.251766i
\(876\) −11.3080 + 2.48907i −0.382061 + 0.0840979i
\(877\) −6.92659 + 4.69634i −0.233894 + 0.158584i −0.672504 0.740093i \(-0.734781\pi\)
0.438610 + 0.898678i \(0.355471\pi\)
\(878\) 4.39437 2.64401i 0.148303 0.0892309i
\(879\) 32.2842 + 19.4248i 1.08892 + 0.655182i
\(880\) −0.857078 1.42448i −0.0288921 0.0480191i
\(881\) −1.17962 + 10.8465i −0.0397425 + 0.365426i 0.957332 + 0.288990i \(0.0933196\pi\)
−0.997074 + 0.0764359i \(0.975646\pi\)
\(882\) 3.75545 8.11728i 0.126453 0.273323i
\(883\) 30.2909 + 23.0265i 1.01937 + 0.774904i 0.974568 0.224092i \(-0.0719417\pi\)
0.0448005 + 0.998996i \(0.485735\pi\)
\(884\) −10.7736 + 17.9059i −0.362357 + 0.602242i
\(885\) −1.40070 + 0.742604i −0.0470840 + 0.0249623i
\(886\) −14.2138 3.94645i −0.477522 0.132583i
\(887\) 10.8556i 0.364497i 0.983253 + 0.182248i \(0.0583375\pi\)
−0.983253 + 0.182248i \(0.941662\pi\)
\(888\) 15.4907 4.30098i 0.519835 0.144331i
\(889\) −19.9485 6.72142i −0.669050 0.225429i
\(890\) 8.79801 10.3578i 0.294910 0.347195i
\(891\) −7.81427 + 12.9874i −0.261788 + 0.435095i
\(892\) −0.109520 0.668041i −0.00366699 0.0223677i
\(893\) −6.65645 + 0.360902i −0.222750 + 0.0120771i
\(894\) −12.0766 + 7.26627i −0.403903 + 0.243020i
\(895\) 0.121940 0.361904i 0.00407599 0.0120971i
\(896\) −43.1592 + 19.9676i −1.44185 + 0.667070i
\(897\) 7.96400 23.6363i 0.265910 0.789193i
\(898\) −9.82185 + 6.65938i −0.327759 + 0.222226i
\(899\) 29.4908 9.93660i 0.983572 0.331404i
\(900\) 1.63185 4.09563i 0.0543949 0.136521i
\(901\) 1.93320 0.536751i 0.0644043 0.0178818i
\(902\) 2.59249 + 0.281950i 0.0863204 + 0.00938791i
\(903\) 4.24624 78.3173i 0.141306 2.60624i
\(904\) 2.39401 + 44.1549i 0.0796235 + 1.46857i
\(905\) 22.7161 2.47052i 0.755108 0.0821230i
\(906\) 9.31272 3.71053i 0.309394 0.123274i
\(907\) −14.2485 + 2.33592i −0.473113 + 0.0775629i −0.393621 0.919273i \(-0.628778\pi\)
−0.0794915 + 0.996836i \(0.525330\pi\)
\(908\) −1.55846 28.7441i −0.0517194 0.953908i
\(909\) 0.00418994 + 0.0190351i 0.000138972 + 0.000631354i
\(910\) 16.9312 + 6.74599i 0.561262 + 0.223627i
\(911\) 21.9443i 0.727049i −0.931585 0.363524i \(-0.881573\pi\)
0.931585 0.363524i \(-0.118427\pi\)
\(912\) 0.507872 1.27466i 0.0168173 0.0422083i
\(913\) −1.20437 2.60321i −0.0398590 0.0861538i
\(914\) 3.04470 + 0.499153i 0.100710 + 0.0165105i
\(915\) −3.48056 5.78474i −0.115064 0.191238i
\(916\) −23.6962 + 20.1278i −0.782945 + 0.665040i
\(917\) 11.5986 + 70.7480i 0.383018 + 2.33631i
\(918\) −8.42178 + 4.46494i −0.277960 + 0.147365i
\(919\) 18.5511 + 12.5780i 0.611945 + 0.414909i 0.827407 0.561603i \(-0.189815\pi\)
−0.215462 + 0.976512i \(0.569126\pi\)
\(920\) 1.65573 + 7.52204i 0.0545877 + 0.247994i
\(921\) −33.8908 + 3.68585i −1.11674 + 0.121453i
\(922\) −5.16479 12.9626i −0.170093 0.426902i
\(923\) 2.81115 + 1.30057i 0.0925300 + 0.0428089i
\(924\) −18.8730 −0.620877
\(925\) 12.1605 0.399836
\(926\) −12.7005 5.87585i −0.417363 0.193093i
\(927\) 4.97137 + 6.53972i 0.163281 + 0.214793i
\(928\) 32.8490 5.38531i 1.07832 0.176782i
\(929\) −0.533034 + 9.83123i −0.0174883 + 0.322552i 0.976679 + 0.214704i \(0.0688787\pi\)
−0.994167 + 0.107848i \(0.965604\pi\)
\(930\) 0.948329 + 8.71974i 0.0310969 + 0.285932i
\(931\) 6.52643 7.68351i 0.213895 0.251817i
\(932\) −27.2496 20.7146i −0.892590 0.678529i
\(933\) −12.3386 36.6198i −0.403949 1.19888i
\(934\) 14.7166 + 15.5361i 0.481541 + 0.508357i
\(935\) 2.00427 4.33216i 0.0655467 0.141677i
\(936\) 5.41532 7.98701i 0.177005 0.261063i
\(937\) 4.14187 + 1.39556i 0.135309 + 0.0455909i 0.386141 0.922440i \(-0.373808\pi\)
−0.250832 + 0.968031i \(0.580704\pi\)
\(938\) −6.97036 0.758072i −0.227590 0.0247519i
\(939\) 8.59909 + 12.6827i 0.280621 + 0.413885i
\(940\) −15.1881 + 6.05150i −0.495382 + 0.197378i
\(941\) −6.44213 16.1685i −0.210007 0.527079i 0.785808 0.618471i \(-0.212248\pi\)
−0.995815 + 0.0913922i \(0.970868\pi\)
\(942\) −19.9921 + 21.1054i −0.651378 + 0.687651i
\(943\) 6.20582 + 2.87112i 0.202089 + 0.0934965i
\(944\) 0.527764 0.557154i 0.0171773 0.0181338i
\(945\) −13.6333 17.9344i −0.443493 0.583405i
\(946\) 8.20668 3.26984i 0.266822 0.106312i
\(947\) 29.5403 + 6.50231i 0.959931 + 0.211297i 0.667184 0.744893i \(-0.267500\pi\)
0.292747 + 0.956190i \(0.405431\pi\)
\(948\) 40.4771 + 16.1275i 1.31463 + 0.523798i
\(949\) −18.4710 5.12844i −0.599593 0.166476i
\(950\) −1.10980 + 1.45991i −0.0360065 + 0.0473657i
\(951\) −18.9604 + 1.02800i −0.614834 + 0.0333353i
\(952\) −31.0591 18.6876i −1.00663 0.605669i
\(953\) 14.2426 + 26.8643i 0.461362 + 0.870220i 0.999623 + 0.0274427i \(0.00873638\pi\)
−0.538262 + 0.842778i \(0.680919\pi\)
\(954\) −0.381932 + 0.0840697i −0.0123655 + 0.00272186i
\(955\) −18.6556 + 6.28580i −0.603681 + 0.203404i
\(956\) −11.6996 + 42.1381i −0.378392 + 1.36284i
\(957\) 15.0360 + 4.17474i 0.486046 + 0.134950i
\(958\) 1.00586 + 0.681993i 0.0324980 + 0.0220342i
\(959\) 68.7290 52.2465i 2.21938 1.68713i
\(960\) −0.258518 + 4.76808i −0.00834362 + 0.153889i
\(961\) 0.567787 + 0.837424i 0.0183157 + 0.0270137i
\(962\) 10.9726 + 2.41525i 0.353771 + 0.0778708i
\(963\) 0.555173 + 2.52218i 0.0178902 + 0.0812760i
\(964\) 18.9934 14.4384i 0.611737 0.465030i
\(965\) 0.626237 + 5.75815i 0.0201593 + 0.185361i
\(966\) 17.3061 + 5.83112i 0.556816 + 0.187613i
\(967\) −11.5208 + 10.9131i −0.370484 + 0.350941i −0.850179 0.526494i \(-0.823506\pi\)
0.479694 + 0.877436i \(0.340748\pi\)
\(968\) 9.62240 + 20.7985i 0.309276 + 0.668488i
\(969\) 3.84762 0.846925i 0.123603 0.0272071i
\(970\) −8.04038 7.61625i −0.258161 0.244543i
\(971\) 31.6308 14.6340i 1.01508 0.469626i 0.159446 0.987207i \(-0.449029\pi\)
0.855635 + 0.517580i \(0.173167\pi\)
\(972\) −10.8146 + 5.00335i −0.346877 + 0.160483i
\(973\) −19.0009 10.0737i −0.609142 0.322947i
\(974\) 11.3110 + 6.80559i 0.362427 + 0.218065i
\(975\) 26.2978 22.3376i 0.842204 0.715374i
\(976\) 2.49076 + 2.11567i 0.0797272 + 0.0677209i
\(977\) 16.3008 + 12.3916i 0.521510 + 0.396442i 0.832545 0.553957i \(-0.186883\pi\)
−0.311036 + 0.950398i \(0.600676\pi\)
\(978\) 10.1673 14.9956i 0.325113 0.479506i
\(979\) −16.9150 + 16.0227i −0.540605 + 0.512088i
\(980\) 9.15155 22.9687i 0.292335 0.733707i
\(981\) 4.00660 14.4305i 0.127921 0.460729i
\(982\) 16.0211 21.0754i 0.511253 0.672542i
\(983\) 5.11853 + 31.2217i 0.163256 + 0.995816i 0.933634 + 0.358229i \(0.116619\pi\)
−0.770378 + 0.637587i \(0.779932\pi\)
\(984\) 9.53126 + 8.09593i 0.303846 + 0.258089i
\(985\) −9.46087 28.0789i −0.301448 0.894667i
\(986\) 8.70013 + 9.18462i 0.277069 + 0.292498i
\(987\) −14.8573 + 90.6258i −0.472914 + 2.88465i
\(988\) 3.49927 2.97231i 0.111327 0.0945617i
\(989\) 23.1298 1.25406i 0.735485 0.0398768i
\(990\) −0.435817 + 0.822039i −0.0138512 + 0.0261261i
\(991\) −42.5405 + 14.3336i −1.35134 + 0.455321i −0.899557 0.436804i \(-0.856110\pi\)
−0.451788 + 0.892125i \(0.649214\pi\)
\(992\) −13.4688 29.1124i −0.427636 0.924319i
\(993\) 1.04863 4.76397i 0.0332773 0.151180i
\(994\) −0.952261 + 2.05828i −0.0302039 + 0.0652846i
\(995\) −2.91925 8.66402i −0.0925463 0.274668i
\(996\) 0.939333 5.72968i 0.0297639 0.181552i
\(997\) 28.5062 + 47.3776i 0.902799 + 1.50046i 0.865351 + 0.501166i \(0.167095\pi\)
0.0374480 + 0.999299i \(0.488077\pi\)
\(998\) −2.79077 5.26394i −0.0883401 0.166627i
\(999\) −10.0823 9.55042i −0.318988 0.302162i
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 \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 349.2.h.a.17.19 784
349.308 even 58 inner 349.2.h.a.308.19 yes 784
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
349.2.h.a.17.19 784 1.1 even 1 trivial
349.2.h.a.308.19 yes 784 349.308 even 58 inner