Properties

Label 289.2.i.a.128.6
Level $289$
Weight $2$
Character 289.128
Analytic conductor $2.308$
Analytic rank $0$
Dimension $1600$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [289,2,Mod(2,289)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(289, base_ring=CyclotomicField(136))
 
chi = DirichletCharacter(H, H._module([95]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("289.2");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 289 = 17^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 289.i (of order \(136\), degree \(64\), 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: \(2.30767661842\)
Analytic rank: \(0\)
Dimension: \(1600\)
Relative dimension: \(25\) over \(\Q(\zeta_{136})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{136}]$

Embedding invariants

Embedding label 128.6
Character \(\chi\) \(=\) 289.128
Dual form 289.2.i.a.70.6

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.93534 - 0.269969i) q^{2} +(-2.50067 + 0.902907i) q^{3} +(1.74902 + 0.497638i) q^{4} +(-1.53733 + 1.61005i) q^{5} +(5.08341 - 1.07233i) q^{6} +(3.74468 - 1.15959i) q^{7} +(0.324563 + 0.143308i) q^{8} +(3.13010 - 2.59920i) q^{9} +O(q^{10})\) \(q+(-1.93534 - 0.269969i) q^{2} +(-2.50067 + 0.902907i) q^{3} +(1.74902 + 0.497638i) q^{4} +(-1.53733 + 1.61005i) q^{5} +(5.08341 - 1.07233i) q^{6} +(3.74468 - 1.15959i) q^{7} +(0.324563 + 0.143308i) q^{8} +(3.13010 - 2.59920i) q^{9} +(3.40993 - 2.70097i) q^{10} +(0.556979 + 4.80088i) q^{11} +(-4.82303 + 0.334771i) q^{12} +(-0.120738 - 0.311662i) q^{13} +(-7.56029 + 1.23326i) q^{14} +(2.39063 - 5.41427i) q^{15} +(-3.68158 - 2.27954i) q^{16} +(-4.05535 + 0.744410i) q^{17} +(-6.75952 + 4.18532i) q^{18} +(0.348227 + 2.49636i) q^{19} +(-3.49004 + 2.05097i) q^{20} +(-8.31719 + 6.28085i) q^{21} +(0.218142 - 9.44171i) q^{22} +(-1.28005 - 4.13367i) q^{23} +(-0.941018 - 0.0653170i) q^{24} +(0.00204820 + 0.0443019i) q^{25} +(0.149531 + 0.635768i) q^{26} +(-1.43941 + 2.44939i) q^{27} +(7.12656 - 0.164653i) q^{28} +(4.63775 + 3.67351i) q^{29} +(-6.08838 + 9.83307i) q^{30} +(-10.0076 - 0.231217i) q^{31} +(5.96381 + 4.95228i) q^{32} +(-5.72756 - 11.5025i) q^{33} +(8.04946 - 0.345871i) q^{34} +(-3.88981 + 7.81180i) q^{35} +(6.76806 - 2.98839i) q^{36} +(-0.195491 + 0.170114i) q^{37} -4.92532i q^{38} +(0.583328 + 0.670347i) q^{39} +(-0.729695 + 0.302249i) q^{40} +(4.40996 + 2.07020i) q^{41} +(17.7923 - 9.91022i) q^{42} +(-6.08888 - 1.43209i) q^{43} +(-1.41493 + 8.67399i) q^{44} +(-0.627160 + 9.03545i) q^{45} +(1.36137 + 8.34563i) q^{46} +(-8.98972 + 0.833021i) q^{47} +(11.2646 + 2.37624i) q^{48} +(6.90298 - 4.72865i) q^{49} +(0.00799617 - 0.0862924i) q^{50} +(9.46895 - 5.52313i) q^{51} +(-0.0560787 - 0.605185i) q^{52} +(-3.69952 - 4.45516i) q^{53} +(3.44702 - 4.35180i) q^{54} +(-8.58591 - 6.48378i) q^{55} +(1.38156 + 0.160284i) q^{56} +(-3.12478 - 5.92815i) q^{57} +(-7.98389 - 8.36154i) q^{58} +(-8.63562 - 5.91554i) q^{59} +(6.87561 - 8.27998i) q^{60} +(2.50086 + 11.8554i) q^{61} +(19.3057 + 3.14923i) q^{62} +(8.70720 - 13.3628i) q^{63} +(-4.37062 - 4.79434i) q^{64} +(0.687406 + 0.284733i) q^{65} +(7.97948 + 23.8075i) q^{66} +(3.93164 - 5.20634i) q^{67} +(-7.46332 - 0.716111i) q^{68} +(6.93329 + 9.18116i) q^{69} +(9.63706 - 14.0684i) q^{70} +(-2.67890 + 5.08224i) q^{71} +(1.38840 - 0.395034i) q^{72} +(5.01172 - 3.60597i) q^{73} +(0.424267 - 0.276452i) q^{74} +(-0.0451224 - 0.108935i) q^{75} +(-0.633229 + 4.53947i) q^{76} +(7.65277 + 17.3319i) q^{77} +(-0.947967 - 1.45483i) q^{78} +(-1.30996 + 5.04386i) q^{79} +(9.32998 - 2.42312i) q^{80} +(-0.854873 + 4.57317i) q^{81} +(-7.97590 - 5.19709i) q^{82} +(-14.1350 + 0.653503i) q^{83} +(-17.6725 + 6.84637i) q^{84} +(5.03588 - 7.67372i) q^{85} +(11.3974 + 4.41539i) q^{86} +(-14.9143 - 4.99877i) q^{87} +(-0.507232 + 1.63801i) q^{88} +(2.41724 - 6.23960i) q^{89} +(3.65306 - 17.3174i) q^{90} +(-0.813527 - 1.02707i) q^{91} +(-0.181756 - 7.86685i) q^{92} +(25.2345 - 8.45775i) q^{93} +(17.6231 + 0.814765i) q^{94} +(-4.55460 - 3.27707i) q^{95} +(-19.3850 - 6.99925i) q^{96} +(-6.93858 - 3.65739i) q^{97} +(-14.6362 + 7.28797i) q^{98} +(14.2218 + 13.5795i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1600 q - 64 q^{2} - 64 q^{3} - 68 q^{4} - 68 q^{5} - 72 q^{6} - 64 q^{7} - 72 q^{8} - 76 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1600 q - 64 q^{2} - 64 q^{3} - 68 q^{4} - 68 q^{5} - 72 q^{6} - 64 q^{7} - 72 q^{8} - 76 q^{9} - 72 q^{10} - 64 q^{11} - 64 q^{12} - 68 q^{13} - 72 q^{14} - 60 q^{15} + 40 q^{16} - 68 q^{17} - 72 q^{18} - 76 q^{19} - 72 q^{20} - 68 q^{21} - 80 q^{22} - 72 q^{23} + 260 q^{24} - 64 q^{25} - 64 q^{26} - 76 q^{27} - 72 q^{28} - 64 q^{29} - 68 q^{30} - 56 q^{31} - 72 q^{32} - 44 q^{33} - 48 q^{34} - 92 q^{35} - 68 q^{36} - 68 q^{37} + 204 q^{39} - 60 q^{40} - 64 q^{41} - 60 q^{42} - 60 q^{43} - 48 q^{44} - 80 q^{45} - 88 q^{46} - 68 q^{47} - 80 q^{48} - 76 q^{49} - 32 q^{50} - 96 q^{51} - 116 q^{52} - 64 q^{53} + 484 q^{54} - 68 q^{55} - 48 q^{56} - 44 q^{57} - 68 q^{58} - 68 q^{59} - 60 q^{60} - 68 q^{61} + 352 q^{62} - 56 q^{63} - 68 q^{64} - 64 q^{65} - 76 q^{66} - 44 q^{67} - 80 q^{68} - 92 q^{69} - 60 q^{70} - 88 q^{71} - 68 q^{72} - 40 q^{73} - 88 q^{74} - 56 q^{75} + 60 q^{76} + 604 q^{77} - 60 q^{78} - 64 q^{79} - 68 q^{80} - 68 q^{81} - 72 q^{82} - 84 q^{83} - 4 q^{84} + 268 q^{85} - 132 q^{86} - 84 q^{87} - 80 q^{88} - 68 q^{89} - 72 q^{90} - 68 q^{91} + 232 q^{92} - 92 q^{93} - 44 q^{94} - 60 q^{95} - 48 q^{96} - 92 q^{97} - 68 q^{98} - 64 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/289\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{121}{136}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.93534 0.269969i −1.36849 0.190897i −0.584363 0.811492i \(-0.698656\pi\)
−0.784131 + 0.620596i \(0.786891\pi\)
\(3\) −2.50067 + 0.902907i −1.44376 + 0.521294i −0.939588 0.342309i \(-0.888791\pi\)
−0.504174 + 0.863602i \(0.668203\pi\)
\(4\) 1.74902 + 0.497638i 0.874509 + 0.248819i
\(5\) −1.53733 + 1.61005i −0.687516 + 0.720036i −0.971037 0.238930i \(-0.923203\pi\)
0.283521 + 0.958966i \(0.408497\pi\)
\(6\) 5.08341 1.07233i 2.07529 0.437778i
\(7\) 3.74468 1.15959i 1.41536 0.438285i 0.508987 0.860774i \(-0.330020\pi\)
0.906368 + 0.422489i \(0.138843\pi\)
\(8\) 0.324563 + 0.143308i 0.114750 + 0.0506672i
\(9\) 3.13010 2.59920i 1.04337 0.866400i
\(10\) 3.40993 2.70097i 1.07831 0.854121i
\(11\) 0.556979 + 4.80088i 0.167935 + 1.44752i 0.764329 + 0.644826i \(0.223070\pi\)
−0.596394 + 0.802692i \(0.703400\pi\)
\(12\) −4.82303 + 0.334771i −1.39229 + 0.0966402i
\(13\) −0.120738 0.311662i −0.0334868 0.0864394i 0.914727 0.404073i \(-0.132406\pi\)
−0.948213 + 0.317634i \(0.897112\pi\)
\(14\) −7.56029 + 1.23326i −2.02057 + 0.329604i
\(15\) 2.39063 5.41427i 0.617259 1.39796i
\(16\) −3.68158 2.27954i −0.920395 0.569884i
\(17\) −4.05535 + 0.744410i −0.983567 + 0.180546i
\(18\) −6.75952 + 4.18532i −1.59323 + 0.986488i
\(19\) 0.348227 + 2.49636i 0.0798888 + 0.572704i 0.988056 + 0.154096i \(0.0492466\pi\)
−0.908167 + 0.418608i \(0.862518\pi\)
\(20\) −3.49004 + 2.05097i −0.780397 + 0.458611i
\(21\) −8.31719 + 6.28085i −1.81496 + 1.37059i
\(22\) 0.218142 9.44171i 0.0465080 2.01298i
\(23\) −1.28005 4.13367i −0.266909 0.861929i −0.985961 0.166974i \(-0.946601\pi\)
0.719053 0.694955i \(-0.244576\pi\)
\(24\) −0.941018 0.0653170i −0.192085 0.0133328i
\(25\) 0.00204820 + 0.0443019i 0.000409640 + 0.00886039i
\(26\) 0.149531 + 0.635768i 0.0293255 + 0.124684i
\(27\) −1.43941 + 2.44939i −0.277015 + 0.471384i
\(28\) 7.12656 0.164653i 1.34679 0.0311164i
\(29\) 4.63775 + 3.67351i 0.861208 + 0.682153i 0.949441 0.313947i \(-0.101651\pi\)
−0.0882329 + 0.996100i \(0.528122\pi\)
\(30\) −6.08838 + 9.83307i −1.11158 + 1.79526i
\(31\) −10.0076 0.231217i −1.79742 0.0415277i −0.888592 0.458697i \(-0.848316\pi\)
−0.908829 + 0.417170i \(0.863022\pi\)
\(32\) 5.96381 + 4.95228i 1.05426 + 0.875448i
\(33\) −5.72756 11.5025i −0.997041 2.00233i
\(34\) 8.04946 0.345871i 1.38047 0.0593164i
\(35\) −3.88981 + 7.81180i −0.657498 + 1.32043i
\(36\) 6.76806 2.98839i 1.12801 0.498065i
\(37\) −0.195491 + 0.170114i −0.0321385 + 0.0279665i −0.672367 0.740218i \(-0.734722\pi\)
0.640228 + 0.768185i \(0.278840\pi\)
\(38\) 4.92532i 0.798993i
\(39\) 0.583328 + 0.670347i 0.0934072 + 0.107341i
\(40\) −0.729695 + 0.302249i −0.115375 + 0.0477898i
\(41\) 4.40996 + 2.07020i 0.688720 + 0.323310i 0.737354 0.675506i \(-0.236075\pi\)
−0.0486337 + 0.998817i \(0.515487\pi\)
\(42\) 17.7923 9.91022i 2.74540 1.52918i
\(43\) −6.08888 1.43209i −0.928545 0.218392i −0.263040 0.964785i \(-0.584725\pi\)
−0.665505 + 0.746393i \(0.731784\pi\)
\(44\) −1.41493 + 8.67399i −0.213309 + 1.30765i
\(45\) −0.627160 + 9.03545i −0.0934914 + 1.34693i
\(46\) 1.36137 + 8.34563i 0.200723 + 1.23050i
\(47\) −8.98972 + 0.833021i −1.31129 + 0.121509i −0.725086 0.688658i \(-0.758200\pi\)
−0.586200 + 0.810167i \(0.699377\pi\)
\(48\) 11.2646 + 2.37624i 1.62591 + 0.342981i
\(49\) 6.90298 4.72865i 0.986140 0.675522i
\(50\) 0.00799617 0.0862924i 0.00113083 0.0122036i
\(51\) 9.46895 5.52313i 1.32592 0.773392i
\(52\) −0.0560787 0.605185i −0.00777672 0.0839241i
\(53\) −3.69952 4.45516i −0.508168 0.611963i 0.451784 0.892127i \(-0.350788\pi\)
−0.959952 + 0.280164i \(0.909611\pi\)
\(54\) 3.44702 4.35180i 0.469079 0.592206i
\(55\) −8.58591 6.48378i −1.15772 0.874272i
\(56\) 1.38156 + 0.160284i 0.184619 + 0.0214188i
\(57\) −3.12478 5.92815i −0.413887 0.785203i
\(58\) −7.98389 8.36154i −1.04834 1.09792i
\(59\) −8.63562 5.91554i −1.12426 0.770137i −0.148487 0.988914i \(-0.547440\pi\)
−0.975775 + 0.218777i \(0.929793\pi\)
\(60\) 6.87561 8.27998i 0.887637 1.06894i
\(61\) 2.50086 + 11.8554i 0.320202 + 1.51792i 0.777656 + 0.628690i \(0.216409\pi\)
−0.457453 + 0.889234i \(0.651238\pi\)
\(62\) 19.3057 + 3.14923i 2.45183 + 0.399952i
\(63\) 8.70720 13.3628i 1.09700 1.68356i
\(64\) −4.37062 4.79434i −0.546328 0.599293i
\(65\) 0.687406 + 0.284733i 0.0852622 + 0.0353167i
\(66\) 7.97948 + 23.8075i 0.982206 + 2.93051i
\(67\) 3.93164 5.20634i 0.480327 0.636055i −0.491745 0.870739i \(-0.663641\pi\)
0.972072 + 0.234684i \(0.0754055\pi\)
\(68\) −7.46332 0.716111i −0.905061 0.0868412i
\(69\) 6.93329 + 9.18116i 0.834670 + 1.10528i
\(70\) 9.63706 14.0684i 1.15185 1.68149i
\(71\) −2.67890 + 5.08224i −0.317926 + 0.603151i −0.990600 0.136788i \(-0.956322\pi\)
0.672674 + 0.739939i \(0.265146\pi\)
\(72\) 1.38840 0.395034i 0.163625 0.0465552i
\(73\) 5.01172 3.60597i 0.586578 0.422047i −0.251297 0.967910i \(-0.580857\pi\)
0.837874 + 0.545863i \(0.183798\pi\)
\(74\) 0.424267 0.276452i 0.0493201 0.0321369i
\(75\) −0.0451224 0.108935i −0.00521029 0.0125787i
\(76\) −0.633229 + 4.53947i −0.0726363 + 0.520712i
\(77\) 7.65277 + 17.3319i 0.872114 + 1.97515i
\(78\) −0.947967 1.45483i −0.107336 0.164727i
\(79\) −1.30996 + 5.04386i −0.147382 + 0.567479i 0.851676 + 0.524069i \(0.175587\pi\)
−0.999057 + 0.0434095i \(0.986178\pi\)
\(80\) 9.32998 2.42312i 1.04312 0.270913i
\(81\) −0.854873 + 4.57317i −0.0949859 + 0.508130i
\(82\) −7.97590 5.19709i −0.880791 0.573923i
\(83\) −14.1350 + 0.653503i −1.55152 + 0.0717312i −0.804857 0.593468i \(-0.797758\pi\)
−0.746666 + 0.665200i \(0.768346\pi\)
\(84\) −17.6725 + 6.84637i −1.92823 + 0.747000i
\(85\) 5.03588 7.67372i 0.546218 0.832332i
\(86\) 11.3974 + 4.41539i 1.22902 + 0.476124i
\(87\) −14.9143 4.99877i −1.59898 0.535924i
\(88\) −0.507232 + 1.63801i −0.0540711 + 0.174612i
\(89\) 2.41724 6.23960i 0.256226 0.661397i −0.743749 0.668459i \(-0.766954\pi\)
0.999975 + 0.00706279i \(0.00224817\pi\)
\(90\) 3.65306 17.3174i 0.385066 1.82541i
\(91\) −0.813527 1.02707i −0.0852808 0.107666i
\(92\) −0.181756 7.86685i −0.0189494 0.820176i
\(93\) 25.2345 8.45775i 2.61670 0.877028i
\(94\) 17.6231 + 0.814765i 1.81768 + 0.0840365i
\(95\) −4.55460 3.27707i −0.467292 0.336220i
\(96\) −19.3850 6.99925i −1.97847 0.714358i
\(97\) −6.93858 3.65739i −0.704506 0.371351i 0.0754809 0.997147i \(-0.475951\pi\)
−0.779987 + 0.625796i \(0.784774\pi\)
\(98\) −14.6362 + 7.28797i −1.47848 + 0.736196i
\(99\) 14.2218 + 13.5795i 1.42935 + 1.36479i
\(100\) −0.0184640 + 0.0785041i −0.00184640 + 0.00785041i
\(101\) −12.7922 2.39127i −1.27287 0.237940i −0.496397 0.868095i \(-0.665344\pi\)
−0.776469 + 0.630155i \(0.782991\pi\)
\(102\) −19.8167 + 8.13282i −1.96215 + 0.805269i
\(103\) 5.29493 0.989793i 0.521725 0.0975272i 0.0837014 0.996491i \(-0.473326\pi\)
0.438023 + 0.898964i \(0.355679\pi\)
\(104\) 0.00547658 0.118457i 0.000537023 0.0116156i
\(105\) 2.67381 23.0469i 0.260937 2.24914i
\(106\) 5.95708 + 9.62102i 0.578603 + 0.934476i
\(107\) 4.38293 + 7.45824i 0.423714 + 0.721015i 0.995015 0.0997256i \(-0.0317965\pi\)
−0.571301 + 0.820740i \(0.693561\pi\)
\(108\) −3.73647 + 3.56771i −0.359542 + 0.343303i
\(109\) −3.53800 + 9.79877i −0.338879 + 0.938552i 0.645697 + 0.763594i \(0.276567\pi\)
−0.984576 + 0.174958i \(0.944021\pi\)
\(110\) 14.8663 + 14.8663i 1.41744 + 1.41744i
\(111\) 0.335261 0.601908i 0.0318215 0.0571306i
\(112\) −16.4297 4.26700i −1.55246 0.403194i
\(113\) 4.42772 9.43200i 0.416525 0.887288i −0.580790 0.814054i \(-0.697256\pi\)
0.997315 0.0732345i \(-0.0233322\pi\)
\(114\) 4.44711 + 12.3166i 0.416510 + 1.15355i
\(115\) 8.62327 + 4.29388i 0.804124 + 0.400406i
\(116\) 6.28342 + 8.73295i 0.583401 + 0.810834i
\(117\) −1.18799 0.661708i −0.109830 0.0611750i
\(118\) 15.1159 + 13.7799i 1.39153 + 1.26855i
\(119\) −14.3228 + 7.49013i −1.31297 + 0.686619i
\(120\) 1.55182 1.41467i 0.141661 0.129141i
\(121\) −12.0304 + 2.82952i −1.09367 + 0.257229i
\(122\) −1.63944 23.6193i −0.148428 2.13840i
\(123\) −12.8970 1.19509i −1.16289 0.107757i
\(124\) −17.3884 5.38458i −1.56153 0.483549i
\(125\) −8.47113 7.37148i −0.757681 0.659325i
\(126\) −20.4590 + 23.5110i −1.82263 + 2.09452i
\(127\) −0.941180 + 2.80810i −0.0835162 + 0.249179i −0.981698 0.190447i \(-0.939006\pi\)
0.898181 + 0.439625i \(0.144889\pi\)
\(128\) −1.59744 2.33198i −0.141195 0.206120i
\(129\) 16.5193 1.91651i 1.45444 0.168739i
\(130\) −1.25350 0.736633i −0.109939 0.0646070i
\(131\) 2.64057 6.37490i 0.230708 0.556978i −0.765553 0.643373i \(-0.777535\pi\)
0.996261 + 0.0863947i \(0.0275346\pi\)
\(132\) −4.29352 22.9683i −0.373703 1.99914i
\(133\) 4.19876 + 8.94426i 0.364079 + 0.775566i
\(134\) −9.01462 + 9.01462i −0.778745 + 0.778745i
\(135\) −1.73078 6.08305i −0.148961 0.523545i
\(136\) −1.42290 0.339558i −0.122012 0.0291169i
\(137\) −6.11045 + 21.4760i −0.522051 + 1.83482i 0.0278821 + 0.999611i \(0.491124\pi\)
−0.549933 + 0.835209i \(0.685347\pi\)
\(138\) −10.9397 19.6405i −0.931247 1.67191i
\(139\) 2.16282 + 8.32774i 0.183448 + 0.706350i 0.992878 + 0.119133i \(0.0380116\pi\)
−0.809430 + 0.587217i \(0.800224\pi\)
\(140\) −10.6908 + 11.7272i −0.903538 + 0.991133i
\(141\) 21.7282 10.2000i 1.82984 0.858994i
\(142\) 6.55663 9.11266i 0.550220 0.764718i
\(143\) 1.42900 0.753239i 0.119499 0.0629890i
\(144\) −17.4487 + 2.43399i −1.45406 + 0.202832i
\(145\) −13.0443 + 1.81960i −1.08327 + 0.151110i
\(146\) −10.6729 + 5.62578i −0.883296 + 0.465593i
\(147\) −12.9925 + 18.0575i −1.07161 + 1.48936i
\(148\) −0.426572 + 0.200248i −0.0350640 + 0.0164603i
\(149\) 2.02808 2.22470i 0.166147 0.182254i −0.650295 0.759681i \(-0.725355\pi\)
0.816442 + 0.577427i \(0.195943\pi\)
\(150\) 0.0579182 + 0.223008i 0.00472900 + 0.0182086i
\(151\) 1.84907 + 3.31971i 0.150475 + 0.270154i 0.938354 0.345676i \(-0.112350\pi\)
−0.787879 + 0.615830i \(0.788821\pi\)
\(152\) −0.244728 + 0.860129i −0.0198501 + 0.0697657i
\(153\) −10.7588 + 12.8707i −0.869795 + 1.04054i
\(154\) −10.1317 35.6091i −0.816433 2.86946i
\(155\) 15.7573 15.7573i 1.26566 1.26566i
\(156\) 0.686660 + 1.46273i 0.0549768 + 0.117112i
\(157\) 4.34509 + 23.2442i 0.346776 + 1.85509i 0.498807 + 0.866713i \(0.333772\pi\)
−0.152031 + 0.988376i \(0.548581\pi\)
\(158\) 3.89690 9.40795i 0.310021 0.748457i
\(159\) 13.2739 + 7.80056i 1.05269 + 0.618625i
\(160\) −17.1418 + 1.98872i −1.35518 + 0.157222i
\(161\) −9.58674 13.9949i −0.755541 1.10295i
\(162\) 2.88908 8.61985i 0.226988 0.677240i
\(163\) −2.61430 + 3.00429i −0.204768 + 0.235314i −0.847525 0.530756i \(-0.821908\pi\)
0.642757 + 0.766070i \(0.277791\pi\)
\(164\) 6.68289 + 5.81537i 0.521846 + 0.454104i
\(165\) 27.3248 + 8.46150i 2.12723 + 0.658727i
\(166\) 27.5326 + 2.55127i 2.13694 + 0.198017i
\(167\) −0.703042 10.1287i −0.0544030 0.783781i −0.944604 0.328213i \(-0.893554\pi\)
0.890201 0.455568i \(-0.150564\pi\)
\(168\) −3.59955 + 0.846607i −0.277711 + 0.0653171i
\(169\) 9.52456 8.68278i 0.732659 0.667906i
\(170\) −11.8178 + 13.4917i −0.906386 + 1.03477i
\(171\) 7.57853 + 6.90874i 0.579544 + 0.528324i
\(172\) −9.93689 5.53481i −0.757681 0.422025i
\(173\) 13.6719 + 19.0017i 1.03945 + 1.44467i 0.890032 + 0.455897i \(0.150682\pi\)
0.149419 + 0.988774i \(0.452260\pi\)
\(174\) 27.5148 + 13.7007i 2.08589 + 1.03865i
\(175\) 0.0590421 + 0.163521i 0.00446316 + 0.0123611i
\(176\) 8.89322 18.9445i 0.670351 1.42799i
\(177\) 26.9360 + 6.99563i 2.02463 + 0.525824i
\(178\) −6.36268 + 11.4232i −0.476903 + 0.856204i
\(179\) −6.47381 6.47381i −0.483876 0.483876i 0.422491 0.906367i \(-0.361156\pi\)
−0.906367 + 0.422491i \(0.861156\pi\)
\(180\) −5.59330 + 15.4911i −0.416900 + 1.15464i
\(181\) 19.0453 18.1851i 1.41563 1.35169i 0.565892 0.824479i \(-0.308532\pi\)
0.849734 0.527211i \(-0.176762\pi\)
\(182\) 1.29718 + 2.20735i 0.0961532 + 0.163620i
\(183\) −16.9581 27.3883i −1.25358 2.02460i
\(184\) 0.176933 1.52508i 0.0130437 0.112430i
\(185\) 0.0266426 0.576271i 0.00195881 0.0423683i
\(186\) −51.1207 + 9.55612i −3.74835 + 0.700689i
\(187\) −5.83256 19.0546i −0.426519 1.39341i
\(188\) −16.1377 3.01666i −1.17696 0.220013i
\(189\) −2.54985 + 10.8413i −0.185474 + 0.788588i
\(190\) 7.93001 + 7.57186i 0.575304 + 0.549320i
\(191\) −5.76603 + 2.87114i −0.417215 + 0.207748i −0.642074 0.766643i \(-0.721926\pi\)
0.224858 + 0.974391i \(0.427808\pi\)
\(192\) 15.2583 + 8.04280i 1.10117 + 0.580439i
\(193\) 4.10819 + 1.48333i 0.295714 + 0.106772i 0.483242 0.875487i \(-0.339459\pi\)
−0.187528 + 0.982259i \(0.560047\pi\)
\(194\) 12.4412 + 8.95150i 0.893223 + 0.642680i
\(195\) −1.97606 0.0913588i −0.141509 0.00654234i
\(196\) 14.4266 4.83530i 1.03047 0.345379i
\(197\) −0.156499 6.77368i −0.0111501 0.482604i −0.975750 0.218887i \(-0.929757\pi\)
0.964600 0.263717i \(-0.0849486\pi\)
\(198\) −23.8581 30.1205i −1.69552 2.14057i
\(199\) 1.02101 4.84011i 0.0723773 0.343106i −0.927122 0.374761i \(-0.877725\pi\)
0.999499 + 0.0316549i \(0.0100778\pi\)
\(200\) −0.00568407 + 0.0146723i −0.000401925 + 0.00103749i
\(201\) −5.13090 + 16.5692i −0.361906 + 1.16870i
\(202\) 24.1116 + 8.08140i 1.69649 + 0.568606i
\(203\) 21.6266 + 8.37820i 1.51789 + 0.588035i
\(204\) 19.3099 4.94793i 1.35196 0.346424i
\(205\) −10.1127 + 3.91768i −0.706301 + 0.273623i
\(206\) −10.5147 + 0.486124i −0.732595 + 0.0338699i
\(207\) −14.7509 9.61168i −1.02526 0.668058i
\(208\) −0.265937 + 1.42263i −0.0184394 + 0.0986420i
\(209\) −11.7908 + 3.06221i −0.815584 + 0.211818i
\(210\) −11.3967 + 43.8817i −0.786444 + 3.02813i
\(211\) −1.72821 2.65226i −0.118975 0.182589i 0.773354 0.633974i \(-0.218577\pi\)
−0.892330 + 0.451385i \(0.850930\pi\)
\(212\) −4.25346 9.63318i −0.292129 0.661609i
\(213\) 2.11024 15.1278i 0.144591 1.03654i
\(214\) −6.46898 15.6175i −0.442210 1.06759i
\(215\) 11.6664 7.60180i 0.795640 0.518438i
\(216\) −0.818198 + 0.588699i −0.0556713 + 0.0400559i
\(217\) −37.7434 + 10.7389i −2.56219 + 0.729006i
\(218\) 9.49261 18.0088i 0.642921 1.21971i
\(219\) −9.27680 + 13.5425i −0.626868 + 0.915114i
\(220\) −11.7903 15.6129i −0.794904 1.05262i
\(221\) 0.721640 + 1.17402i 0.0485428 + 0.0789730i
\(222\) −0.811341 + 1.07439i −0.0544536 + 0.0721083i
\(223\) −1.10813 3.30622i −0.0742062 0.221401i 0.904573 0.426319i \(-0.140190\pi\)
−0.978779 + 0.204917i \(0.934307\pi\)
\(224\) 28.0752 + 11.6291i 1.87585 + 0.777003i
\(225\) 0.121561 + 0.133346i 0.00810405 + 0.00888972i
\(226\) −11.1155 + 17.0588i −0.739393 + 1.13474i
\(227\) 13.8159 + 2.25370i 0.916994 + 0.149584i 0.601066 0.799199i \(-0.294743\pi\)
0.315928 + 0.948783i \(0.397684\pi\)
\(228\) −2.51522 11.9234i −0.166575 0.789649i
\(229\) −9.06669 + 10.9186i −0.599144 + 0.721522i −0.979076 0.203493i \(-0.934771\pi\)
0.379933 + 0.925014i \(0.375947\pi\)
\(230\) −15.5298 10.6381i −1.02400 0.701458i
\(231\) −34.7861 36.4315i −2.28876 2.39702i
\(232\) 0.978795 + 1.85691i 0.0642610 + 0.121912i
\(233\) −5.28301 0.612914i −0.346101 0.0401533i −0.0595698 0.998224i \(-0.518973\pi\)
−0.286531 + 0.958071i \(0.592502\pi\)
\(234\) 2.12054 + 1.60135i 0.138624 + 0.104684i
\(235\) 12.4790 15.7545i 0.814040 1.02771i
\(236\) −12.1600 14.6438i −0.791552 0.953229i
\(237\) −1.27837 13.7958i −0.0830390 0.896133i
\(238\) 29.7416 10.6293i 1.92786 0.688993i
\(239\) 0.245645 2.65093i 0.0158895 0.171475i −0.984091 0.177663i \(-0.943146\pi\)
0.999981 + 0.00618840i \(0.00196984\pi\)
\(240\) −21.1433 + 14.4835i −1.36480 + 0.934907i
\(241\) −1.27969 0.269947i −0.0824319 0.0173888i 0.165006 0.986293i \(-0.447236\pi\)
−0.247438 + 0.968904i \(0.579589\pi\)
\(242\) 24.0468 2.22826i 1.54578 0.143238i
\(243\) −3.36357 20.6197i −0.215773 1.32276i
\(244\) −1.52564 + 21.9798i −0.0976689 + 1.40711i
\(245\) −2.99881 + 18.3836i −0.191587 + 1.17449i
\(246\) 24.6376 + 5.79470i 1.57083 + 0.369457i
\(247\) 0.735975 0.409935i 0.0468290 0.0260836i
\(248\) −3.21496 1.50922i −0.204150 0.0958356i
\(249\) 34.7570 14.3968i 2.20264 0.912362i
\(250\) 14.4045 + 16.5533i 0.911019 + 1.04692i
\(251\) 4.95819i 0.312958i −0.987681 0.156479i \(-0.949986\pi\)
0.987681 0.156479i \(-0.0500144\pi\)
\(252\) 21.8789 19.0388i 1.37824 1.19933i
\(253\) 19.1323 8.44772i 1.20283 0.531103i
\(254\) 2.57961 5.18055i 0.161859 0.325056i
\(255\) −5.66442 + 23.7364i −0.354720 + 1.48643i
\(256\) 8.24552 + 16.5592i 0.515345 + 1.03495i
\(257\) 18.2082 + 15.1199i 1.13580 + 0.943153i 0.998875 0.0474293i \(-0.0151029\pi\)
0.136921 + 0.990582i \(0.456279\pi\)
\(258\) −32.4879 0.750603i −2.02261 0.0467305i
\(259\) −0.534787 + 0.863711i −0.0332301 + 0.0536684i
\(260\) 1.06059 + 0.840082i 0.0657750 + 0.0520997i
\(261\) 24.0648 0.555994i 1.48957 0.0344152i
\(262\) −6.83144 + 11.6248i −0.422048 + 0.718180i
\(263\) −0.318380 1.35367i −0.0196322 0.0834709i 0.962727 0.270475i \(-0.0871809\pi\)
−0.982359 + 0.187005i \(0.940122\pi\)
\(264\) −0.210548 4.55409i −0.0129584 0.280285i
\(265\) 12.8604 + 0.892655i 0.790009 + 0.0548353i
\(266\) −5.71137 18.4437i −0.350186 1.13086i
\(267\) −0.410922 + 17.7857i −0.0251480 + 1.08847i
\(268\) 9.46738 7.14944i 0.578312 0.436721i
\(269\) −13.3738 + 7.85928i −0.815414 + 0.479189i −0.854129 0.520062i \(-0.825909\pi\)
0.0387146 + 0.999250i \(0.487674\pi\)
\(270\) 1.70741 + 12.2400i 0.103910 + 0.744905i
\(271\) 20.0741 12.4294i 1.21941 0.755029i 0.242810 0.970074i \(-0.421931\pi\)
0.976604 + 0.215044i \(0.0689897\pi\)
\(272\) 16.6270 + 6.50372i 1.00816 + 0.394346i
\(273\) 2.96171 + 1.83381i 0.179251 + 0.110987i
\(274\) 17.6237 39.9138i 1.06469 2.41128i
\(275\) −0.211547 + 0.0345084i −0.0127568 + 0.00208094i
\(276\) 7.55755 + 19.5083i 0.454911 + 1.17426i
\(277\) 2.24885 0.156095i 0.135120 0.00937882i −0.00152535 0.999999i \(-0.500486\pi\)
0.136645 + 0.990620i \(0.456368\pi\)
\(278\) −1.93758 16.7009i −0.116208 1.00166i
\(279\) −31.9258 + 25.2881i −1.91135 + 1.51396i
\(280\) −2.38199 + 1.97798i −0.142351 + 0.118207i
\(281\) 23.4862 + 10.3702i 1.40107 + 0.618633i 0.960295 0.278985i \(-0.0899979\pi\)
0.440775 + 0.897618i \(0.354704\pi\)
\(282\) −44.8052 + 13.8746i −2.66811 + 0.826218i
\(283\) −19.5294 + 4.11969i −1.16090 + 0.244890i −0.746616 0.665256i \(-0.768323\pi\)
−0.414289 + 0.910146i \(0.635970\pi\)
\(284\) −7.21455 + 7.55581i −0.428105 + 0.448355i
\(285\) 14.3484 + 4.08248i 0.849928 + 0.241825i
\(286\) −2.96896 + 1.07199i −0.175558 + 0.0633881i
\(287\) 18.9145 + 2.63846i 1.11649 + 0.155743i
\(288\) 31.5393 1.85847
\(289\) 15.8917 6.03768i 0.934806 0.355158i
\(290\) 25.7364 1.51129
\(291\) 20.6534 + 2.88102i 1.21072 + 0.168888i
\(292\) 10.5601 3.81288i 0.617981 0.223132i
\(293\) −8.04031 2.28767i −0.469720 0.133647i 0.0305191 0.999534i \(-0.490284\pi\)
−0.500239 + 0.865887i \(0.666755\pi\)
\(294\) 30.0200 31.4399i 1.75080 1.83361i
\(295\) 22.8001 4.80963i 1.32747 0.280027i
\(296\) −0.0878278 + 0.0271971i −0.00510489 + 0.00158080i
\(297\) −12.5609 5.54619i −0.728858 0.321822i
\(298\) −4.52563 + 3.75804i −0.262163 + 0.217697i
\(299\) −1.13375 + 0.898034i −0.0655667 + 0.0519346i
\(300\) −0.0247096 0.212984i −0.00142661 0.0122966i
\(301\) −24.4615 + 1.69790i −1.40994 + 0.0978653i
\(302\) −2.68236 6.92397i −0.154352 0.398430i
\(303\) 34.1480 5.57036i 1.96175 0.320009i
\(304\) 4.40852 9.98434i 0.252846 0.572641i
\(305\) −22.9324 14.1991i −1.31310 0.813040i
\(306\) 24.2966 22.0048i 1.38894 1.25793i
\(307\) −10.1680 + 6.29575i −0.580318 + 0.359318i −0.784986 0.619514i \(-0.787330\pi\)
0.204668 + 0.978831i \(0.434389\pi\)
\(308\) 4.75982 + 34.1220i 0.271216 + 1.94428i
\(309\) −12.3472 + 7.25597i −0.702406 + 0.412778i
\(310\) −34.7498 + 26.2418i −1.97365 + 1.49043i
\(311\) −0.203205 + 8.79523i −0.0115227 + 0.498731i 0.962373 + 0.271734i \(0.0875969\pi\)
−0.973895 + 0.226998i \(0.927109\pi\)
\(312\) 0.0932602 + 0.301165i 0.00527982 + 0.0170501i
\(313\) −15.3232 1.06360i −0.866116 0.0601180i −0.370678 0.928761i \(-0.620875\pi\)
−0.495438 + 0.868643i \(0.664992\pi\)
\(314\) −2.13404 46.1585i −0.120431 2.60488i
\(315\) 8.12893 + 34.5621i 0.458014 + 1.94735i
\(316\) −4.80116 + 8.16992i −0.270086 + 0.459594i
\(317\) 25.6214 0.591957i 1.43904 0.0332476i 0.703483 0.710712i \(-0.251627\pi\)
0.735556 + 0.677464i \(0.236921\pi\)
\(318\) −23.5836 18.6803i −1.32250 1.04754i
\(319\) −15.0529 + 24.3113i −0.842802 + 1.36117i
\(320\) 14.4382 + 0.333582i 0.807122 + 0.0186478i
\(321\) −17.6943 14.6932i −0.987602 0.820094i
\(322\) 14.7754 + 29.6731i 0.823403 + 1.65362i
\(323\) −3.27050 9.86438i −0.181975 0.548869i
\(324\) −3.77097 + 7.57313i −0.209498 + 0.420729i
\(325\) 0.0135599 0.00598729i 0.000752169 0.000332115i
\(326\) 5.87063 5.10856i 0.325144 0.282937i
\(327\) 27.6980i 1.53170i
\(328\) 1.13463 + 1.30389i 0.0626496 + 0.0719955i
\(329\) −32.6977 + 13.5438i −1.80268 + 0.746695i
\(330\) −50.5984 23.7527i −2.78535 1.30755i
\(331\) −10.4672 + 5.83017i −0.575327 + 0.320455i −0.747132 0.664676i \(-0.768570\pi\)
0.171805 + 0.985131i \(0.445040\pi\)
\(332\) −25.0476 5.89115i −1.37467 0.323319i
\(333\) −0.169746 + 1.04059i −0.00930200 + 0.0570242i
\(334\) −1.37380 + 19.7923i −0.0751710 + 1.08298i
\(335\) 2.33822 + 14.3340i 0.127751 + 0.783151i
\(336\) 44.9379 4.16411i 2.45156 0.227171i
\(337\) −4.68624 0.988551i −0.255276 0.0538498i 0.0770036 0.997031i \(-0.475465\pi\)
−0.332279 + 0.943181i \(0.607818\pi\)
\(338\) −20.7774 + 14.2328i −1.13014 + 0.774164i
\(339\) −2.55605 + 27.5841i −0.138825 + 1.49816i
\(340\) 12.6266 10.9154i 0.684772 0.591972i
\(341\) −4.46399 48.1741i −0.241739 2.60877i
\(342\) −12.8019 15.4167i −0.692248 0.833642i
\(343\) 3.32797 4.20152i 0.179694 0.226861i
\(344\) −1.77099 1.33739i −0.0954855 0.0721073i
\(345\) −25.4409 2.95155i −1.36969 0.158906i
\(346\) −21.3299 40.4657i −1.14670 2.17545i
\(347\) 15.4249 + 16.1545i 0.828053 + 0.867221i 0.992882 0.119101i \(-0.0380013\pi\)
−0.164829 + 0.986322i \(0.552707\pi\)
\(348\) −23.5978 16.1649i −1.26497 0.866527i
\(349\) −23.4969 + 28.2963i −1.25776 + 1.51466i −0.493521 + 0.869734i \(0.664290\pi\)
−0.764241 + 0.644931i \(0.776886\pi\)
\(350\) −0.0701210 0.332410i −0.00374812 0.0177680i
\(351\) 0.937172 + 0.152875i 0.0500225 + 0.00815987i
\(352\) −20.4536 + 31.3898i −1.09018 + 1.67308i
\(353\) −6.98864 7.66618i −0.371968 0.408029i 0.524306 0.851530i \(-0.324325\pi\)
−0.896274 + 0.443500i \(0.853736\pi\)
\(354\) −50.2418 20.8108i −2.67032 1.10608i
\(355\) −4.06431 12.1263i −0.215711 0.643595i
\(356\) 7.33285 9.71026i 0.388640 0.514643i
\(357\) 29.0536 31.6625i 1.53768 1.67575i
\(358\) 10.7813 + 14.2768i 0.569811 + 0.754551i
\(359\) −16.4313 + 23.9868i −0.867212 + 1.26597i 0.0954952 + 0.995430i \(0.469557\pi\)
−0.962708 + 0.270544i \(0.912796\pi\)
\(360\) −1.49841 + 2.84269i −0.0789731 + 0.149823i
\(361\) 12.1641 3.46100i 0.640218 0.182158i
\(362\) −41.7686 + 30.0528i −2.19531 + 1.57954i
\(363\) 27.5292 17.9380i 1.44491 0.941500i
\(364\) −0.911765 2.20120i −0.0477895 0.115374i
\(365\) −1.89889 + 13.6127i −0.0993925 + 0.712521i
\(366\) 25.4258 + 57.5839i 1.32903 + 3.00996i
\(367\) 7.11108 + 10.9133i 0.371195 + 0.569668i 0.973525 0.228579i \(-0.0734080\pi\)
−0.602330 + 0.798247i \(0.705761\pi\)
\(368\) −4.71025 + 18.1363i −0.245539 + 0.945422i
\(369\) 19.1845 4.98246i 0.998704 0.259377i
\(370\) −0.207138 + 1.10809i −0.0107686 + 0.0576069i
\(371\) −19.0197 12.3932i −0.987453 0.643423i
\(372\) 48.3445 2.23510i 2.50654 0.115885i
\(373\) −6.31115 + 2.44495i −0.326779 + 0.126595i −0.519042 0.854749i \(-0.673711\pi\)
0.192263 + 0.981343i \(0.438417\pi\)
\(374\) 6.14386 + 38.4518i 0.317691 + 1.98830i
\(375\) 27.8393 + 10.7850i 1.43761 + 0.556934i
\(376\) −3.03711 1.01794i −0.156627 0.0524961i
\(377\) 0.584937 1.88894i 0.0301258 0.0972854i
\(378\) 7.86164 20.2932i 0.404359 1.04377i
\(379\) −2.22070 + 10.5273i −0.114070 + 0.540750i 0.883334 + 0.468744i \(0.155293\pi\)
−0.997404 + 0.0720064i \(0.977060\pi\)
\(380\) −6.33528 7.99820i −0.324993 0.410299i
\(381\) −0.181873 7.87192i −0.00931766 0.403291i
\(382\) 11.9344 3.99999i 0.610615 0.204658i
\(383\) −6.12306 0.283086i −0.312874 0.0144650i −0.110823 0.993840i \(-0.535349\pi\)
−0.202051 + 0.979375i \(0.564761\pi\)
\(384\) 6.10024 + 4.38917i 0.311301 + 0.223984i
\(385\) −39.6700 14.3235i −2.02177 0.729993i
\(386\) −7.55031 3.97983i −0.384300 0.202568i
\(387\) −22.7811 + 11.3436i −1.15803 + 0.576629i
\(388\) −10.3156 9.84974i −0.523697 0.500045i
\(389\) 8.07039 34.3132i 0.409185 1.73975i −0.232330 0.972637i \(-0.574635\pi\)
0.641515 0.767111i \(-0.278306\pi\)
\(390\) 3.79969 + 0.710285i 0.192405 + 0.0359667i
\(391\) 8.26818 + 15.8106i 0.418140 + 0.799575i
\(392\) 2.91811 0.545489i 0.147387 0.0275513i
\(393\) −0.847249 + 18.3257i −0.0427380 + 0.924410i
\(394\) −1.52580 + 13.1516i −0.0768687 + 0.662570i
\(395\) −6.10703 9.86319i −0.307278 0.496271i
\(396\) 18.1166 + 30.8281i 0.910391 + 1.54917i
\(397\) −27.0203 + 25.7999i −1.35611 + 1.29486i −0.437756 + 0.899094i \(0.644227\pi\)
−0.918351 + 0.395766i \(0.870479\pi\)
\(398\) −3.28268 + 9.09162i −0.164546 + 0.455722i
\(399\) −18.5755 18.5755i −0.929940 0.929940i
\(400\) 0.0934473 0.167770i 0.00467237 0.00838850i
\(401\) −8.18224 2.12504i −0.408602 0.106119i 0.0414093 0.999142i \(-0.486815\pi\)
−0.450011 + 0.893023i \(0.648580\pi\)
\(402\) 14.4032 30.6820i 0.718367 1.53028i
\(403\) 1.13624 + 3.14691i 0.0566002 + 0.156759i
\(404\) −21.1837 10.5482i −1.05393 0.524794i
\(405\) −6.04880 8.40686i −0.300567 0.417740i
\(406\) −39.5931 22.0532i −1.96497 1.09448i
\(407\) −0.925580 0.843777i −0.0458793 0.0418245i
\(408\) 3.86478 0.435620i 0.191335 0.0215664i
\(409\) 3.94582 3.59709i 0.195108 0.177865i −0.570246 0.821474i \(-0.693152\pi\)
0.765354 + 0.643609i \(0.222564\pi\)
\(410\) 20.6292 4.85194i 1.01880 0.239620i
\(411\) −4.11063 59.2216i −0.202762 2.92118i
\(412\) 9.75348 + 0.903793i 0.480519 + 0.0445267i
\(413\) −39.1972 12.1380i −1.92877 0.597271i
\(414\) 25.9532 + 22.5842i 1.27553 + 1.10995i
\(415\) 20.6781 23.7628i 1.01505 1.16647i
\(416\) 0.823376 2.45662i 0.0403693 0.120446i
\(417\) −12.9277 18.8721i −0.633071 0.924170i
\(418\) 23.6459 2.74330i 1.15656 0.134179i
\(419\) −0.170686 0.100306i −0.00833855 0.00490026i 0.502478 0.864590i \(-0.332422\pi\)
−0.510817 + 0.859690i \(0.670657\pi\)
\(420\) 16.1455 38.9788i 0.787821 1.90197i
\(421\) 0.964539 + 5.15983i 0.0470088 + 0.251475i 0.998402 0.0565027i \(-0.0179950\pi\)
−0.951394 + 0.307977i \(0.900348\pi\)
\(422\) 2.62866 + 5.59960i 0.127961 + 0.272584i
\(423\) −25.9735 + 25.9735i −1.26288 + 1.26288i
\(424\) −0.562264 1.97615i −0.0273059 0.0959704i
\(425\) −0.0412850 0.178135i −0.00200262 0.00864082i
\(426\) −8.16807 + 28.7078i −0.395744 + 1.39090i
\(427\) 23.1123 + 41.4946i 1.11848 + 2.00806i
\(428\) 3.95431 + 15.2257i 0.191139 + 0.735962i
\(429\) −2.89335 + 3.17385i −0.139692 + 0.153235i
\(430\) −24.6307 + 11.5625i −1.18780 + 0.557594i
\(431\) 8.79572 12.2246i 0.423675 0.588840i −0.544610 0.838689i \(-0.683322\pi\)
0.968285 + 0.249849i \(0.0803811\pi\)
\(432\) 10.8828 5.73641i 0.523598 0.275993i
\(433\) −4.59652 + 0.641187i −0.220895 + 0.0308135i −0.247742 0.968826i \(-0.579689\pi\)
0.0268473 + 0.999640i \(0.491453\pi\)
\(434\) 75.9456 10.5940i 3.64551 0.508527i
\(435\) 30.9765 16.3280i 1.48521 0.782867i
\(436\) −11.0643 + 15.3776i −0.529882 + 0.736452i
\(437\) 9.87337 4.63492i 0.472307 0.221718i
\(438\) 21.6098 23.7049i 1.03256 1.13266i
\(439\) 5.79035 + 22.2952i 0.276358 + 1.06409i 0.946720 + 0.322057i \(0.104374\pi\)
−0.670362 + 0.742034i \(0.733861\pi\)
\(440\) −1.85749 3.33483i −0.0885522 0.158982i
\(441\) 9.31629 32.7434i 0.443633 1.55921i
\(442\) −1.07967 2.46695i −0.0513548 0.117341i
\(443\) 5.44891 + 19.1509i 0.258885 + 0.909887i 0.976871 + 0.213830i \(0.0685937\pi\)
−0.717986 + 0.696058i \(0.754936\pi\)
\(444\) 0.885909 0.885909i 0.0420434 0.0420434i
\(445\) 6.32998 + 13.4842i 0.300070 + 0.639213i
\(446\) 1.25204 + 6.69784i 0.0592859 + 0.317152i
\(447\) −3.06286 + 7.39440i −0.144868 + 0.349743i
\(448\) −21.9261 12.8851i −1.03591 0.608765i
\(449\) 26.6105 3.08725i 1.25583 0.145696i 0.538616 0.842551i \(-0.318947\pi\)
0.717212 + 0.696855i \(0.245418\pi\)
\(450\) −0.199262 0.290887i −0.00939332 0.0137126i
\(451\) −7.48250 + 22.3247i −0.352337 + 1.05123i
\(452\) 12.4379 14.2933i 0.585029 0.672302i
\(453\) −7.62129 6.63196i −0.358080 0.311597i
\(454\) −26.1301 8.09156i −1.22635 0.379756i
\(455\) 2.90429 + 0.269122i 0.136155 + 0.0126166i
\(456\) −0.164633 2.37186i −0.00770967 0.111073i
\(457\) 6.95035 1.63471i 0.325123 0.0764683i −0.0631737 0.998003i \(-0.520122\pi\)
0.388297 + 0.921534i \(0.373063\pi\)
\(458\) 20.4948 18.6835i 0.957661 0.873023i
\(459\) 4.01398 11.0046i 0.187356 0.513652i
\(460\) 12.9454 + 11.8013i 0.603584 + 0.550240i
\(461\) 32.4263 + 18.0613i 1.51024 + 0.841199i 0.999825 0.0187281i \(-0.00596167\pi\)
0.510417 + 0.859927i \(0.329491\pi\)
\(462\) 57.4877 + 79.8986i 2.67457 + 3.71722i
\(463\) −26.8025 13.3460i −1.24562 0.620243i −0.302641 0.953105i \(-0.597868\pi\)
−0.942976 + 0.332862i \(0.891986\pi\)
\(464\) −8.70033 24.0962i −0.403903 1.11864i
\(465\) −25.1764 + 53.6312i −1.16753 + 2.48709i
\(466\) 10.0590 + 2.61244i 0.465972 + 0.121019i
\(467\) 9.06108 16.2678i 0.419297 0.752782i −0.578734 0.815517i \(-0.696453\pi\)
0.998030 + 0.0627349i \(0.0199823\pi\)
\(468\) −1.74853 1.74853i −0.0808259 0.0808259i
\(469\) 8.68551 24.0552i 0.401059 1.11076i
\(470\) −28.4044 + 27.1215i −1.31020 + 1.25102i
\(471\) −31.8530 54.2028i −1.46771 2.49753i
\(472\) −1.95505 3.15752i −0.0899886 0.145337i
\(473\) 3.48392 30.0296i 0.160191 1.38076i
\(474\) −1.25035 + 27.0447i −0.0574306 + 1.24220i
\(475\) −0.109880 + 0.0205402i −0.00504165 + 0.000942449i
\(476\) −28.7781 + 5.97281i −1.31904 + 0.273763i
\(477\) −23.1597 4.32930i −1.06041 0.198225i
\(478\) −1.19108 + 5.06415i −0.0544786 + 0.231629i
\(479\) 18.5118 + 17.6757i 0.845827 + 0.807625i 0.983131 0.182904i \(-0.0585497\pi\)
−0.137304 + 0.990529i \(0.543844\pi\)
\(480\) 41.0703 20.4506i 1.87459 0.933436i
\(481\) 0.0766212 + 0.0403877i 0.00349363 + 0.00184152i
\(482\) 2.40376 + 0.867915i 0.109488 + 0.0395325i
\(483\) 36.6094 + 26.3407i 1.66578 + 1.19854i
\(484\) −22.4494 1.03790i −1.02043 0.0471772i
\(485\) 16.5555 5.54884i 0.751746 0.251960i
\(486\) 0.942976 + 40.8143i 0.0427742 + 1.85137i
\(487\) 0.247580 + 0.312567i 0.0112189 + 0.0141637i 0.789462 0.613799i \(-0.210360\pi\)
−0.778243 + 0.627963i \(0.783889\pi\)
\(488\) −0.887288 + 4.20620i −0.0401657 + 0.190406i
\(489\) 3.82490 9.87321i 0.172968 0.446482i
\(490\) 10.7667 34.7691i 0.486392 1.57071i
\(491\) 17.9440 + 6.01421i 0.809800 + 0.271418i 0.692258 0.721650i \(-0.256616\pi\)
0.117542 + 0.993068i \(0.462498\pi\)
\(492\) −21.9624 8.50829i −0.990143 0.383583i
\(493\) −21.5423 11.4450i −0.970215 0.515455i
\(494\) −1.53503 + 0.594675i −0.0690644 + 0.0267557i
\(495\) −43.7274 + 2.02164i −1.96540 + 0.0908659i
\(496\) 36.3168 + 23.6640i 1.63067 + 1.06254i
\(497\) −4.13827 + 22.1378i −0.185627 + 0.993016i
\(498\) −71.1534 + 18.4795i −3.18846 + 0.828085i
\(499\) −0.495926 + 1.90951i −0.0222007 + 0.0854815i −0.978046 0.208388i \(-0.933178\pi\)
0.955846 + 0.293869i \(0.0949431\pi\)
\(500\) −11.1478 17.1084i −0.498546 0.765111i
\(501\) 10.9033 + 24.6937i 0.487125 + 1.10323i
\(502\) −1.33856 + 9.59580i −0.0597427 + 0.428282i
\(503\) 11.2812 + 27.2352i 0.503004 + 1.21436i 0.947840 + 0.318747i \(0.103262\pi\)
−0.444836 + 0.895612i \(0.646738\pi\)
\(504\) 4.74104 3.08926i 0.211183 0.137606i
\(505\) 23.5158 16.9198i 1.04644 0.752922i
\(506\) −39.3081 + 11.1841i −1.74746 + 0.497195i
\(507\) −15.9780 + 30.3126i −0.709609 + 1.34623i
\(508\) −3.04356 + 4.44305i −0.135036 + 0.197128i
\(509\) −14.3691 19.0278i −0.636901 0.843394i 0.359047 0.933319i \(-0.383102\pi\)
−0.995948 + 0.0899259i \(0.971337\pi\)
\(510\) 17.3707 44.4088i 0.769186 1.96645i
\(511\) 14.5858 19.3148i 0.645239 0.854435i
\(512\) −9.69086 28.9136i −0.428280 1.27781i
\(513\) −6.61579 2.74035i −0.292094 0.120989i
\(514\) −31.1572 34.1778i −1.37428 1.50752i
\(515\) −6.54645 + 10.0467i −0.288471 + 0.442712i
\(516\) 29.8463 + 4.86864i 1.31391 + 0.214330i
\(517\) −9.00631 42.6946i −0.396097 1.87771i
\(518\) 1.26817 1.52720i 0.0557203 0.0671014i
\(519\) −51.3455 35.1725i −2.25382 1.54390i
\(520\) 0.182302 + 0.190925i 0.00799446 + 0.00837260i
\(521\) −1.47965 2.80710i −0.0648246 0.122981i 0.850077 0.526659i \(-0.176555\pi\)
−0.914901 + 0.403677i \(0.867732\pi\)
\(522\) −46.7237 5.42070i −2.04504 0.237258i
\(523\) 6.89143 + 5.20416i 0.301341 + 0.227562i 0.742466 0.669883i \(-0.233656\pi\)
−0.441125 + 0.897445i \(0.645421\pi\)
\(524\) 7.79080 9.83577i 0.340343 0.429678i
\(525\) −0.295289 0.355603i −0.0128875 0.0155198i
\(526\) 0.250726 + 2.70577i 0.0109322 + 0.117977i
\(527\) 40.7565 6.51211i 1.77538 0.283672i
\(528\) −5.13390 + 55.4036i −0.223424 + 2.41113i
\(529\) 3.52627 2.41555i 0.153316 0.105024i
\(530\) −24.6483 5.19951i −1.07066 0.225852i
\(531\) −42.4060 + 3.92950i −1.84026 + 0.170526i
\(532\) 2.89270 + 17.7331i 0.125414 + 0.768829i
\(533\) 0.112749 1.62437i 0.00488370 0.0703592i
\(534\) 5.59686 34.3105i 0.242200 1.48476i
\(535\) −18.7461 4.40905i −0.810467 0.190620i
\(536\) 2.02218 1.12635i 0.0873447 0.0486507i
\(537\) 22.0341 + 10.3436i 0.950842 + 0.446360i
\(538\) 28.0046 11.5999i 1.20736 0.500107i
\(539\) 26.5465 + 30.5066i 1.14344 + 1.31401i
\(540\) 11.5007i 0.494909i
\(541\) −9.62217 + 8.37310i −0.413690 + 0.359988i −0.838132 0.545467i \(-0.816352\pi\)
0.424443 + 0.905455i \(0.360470\pi\)
\(542\) −42.2058 + 18.6357i −1.81289 + 0.800471i
\(543\) −31.2065 + 62.6711i −1.33920 + 2.68948i
\(544\) −27.8718 15.6437i −1.19500 0.670719i
\(545\) −10.3374 20.7603i −0.442806 0.889274i
\(546\) −5.23684 4.34862i −0.224116 0.186104i
\(547\) 8.68030 + 0.200550i 0.371143 + 0.00857490i 0.208268 0.978072i \(-0.433217\pi\)
0.162875 + 0.986647i \(0.447923\pi\)
\(548\) −21.3746 + 34.5211i −0.913077 + 1.47467i
\(549\) 38.6424 + 30.6082i 1.64922 + 1.30633i
\(550\) 0.418733 0.00967442i 0.0178548 0.000412519i
\(551\) −7.55540 + 12.8567i −0.321871 + 0.547714i
\(552\) 0.934550 + 3.97346i 0.0397771 + 0.169122i
\(553\) 0.943457 + 20.4067i 0.0401199 + 0.867779i
\(554\) −4.39443 0.305022i −0.186701 0.0129591i
\(555\) 0.453695 + 1.46512i 0.0192583 + 0.0621909i
\(556\) −0.361386 + 15.6417i −0.0153262 + 0.663355i
\(557\) 1.54830 1.16922i 0.0656035 0.0495415i −0.569324 0.822114i \(-0.692795\pi\)
0.634927 + 0.772572i \(0.281030\pi\)
\(558\) 68.6144 40.3221i 2.90468 1.70697i
\(559\) 0.288833 + 2.07058i 0.0122163 + 0.0875761i
\(560\) 32.1280 19.8928i 1.35765 0.840624i
\(561\) 31.7898 + 42.3830i 1.34217 + 1.78941i
\(562\) −42.6543 26.4104i −1.79926 1.11406i
\(563\) 14.0679 31.8608i 0.592892 1.34277i −0.324915 0.945743i \(-0.605336\pi\)
0.917806 0.397028i \(-0.129958\pi\)
\(564\) 43.0789 7.02719i 1.81395 0.295898i
\(565\) 8.37911 + 21.6290i 0.352512 + 0.909938i
\(566\) 38.9083 2.70067i 1.63544 0.113517i
\(567\) 2.10179 + 18.1163i 0.0882668 + 0.760815i
\(568\) −1.59780 + 1.26560i −0.0670421 + 0.0531033i
\(569\) 26.0696 21.6479i 1.09290 0.907529i 0.0967553 0.995308i \(-0.469154\pi\)
0.996140 + 0.0877795i \(0.0279771\pi\)
\(570\) −26.6670 11.7746i −1.11696 0.493185i
\(571\) 27.3201 8.46006i 1.14331 0.354042i 0.334664 0.942337i \(-0.391377\pi\)
0.808647 + 0.588295i \(0.200201\pi\)
\(572\) 2.87419 0.606302i 0.120176 0.0253508i
\(573\) 11.8266 12.3860i 0.494061 0.517431i
\(574\) −35.8937 10.2126i −1.49817 0.426267i
\(575\) 0.180508 0.0651752i 0.00752769 0.00271799i
\(576\) −26.1419 3.64665i −1.08925 0.151944i
\(577\) 24.0882 1.00281 0.501403 0.865214i \(-0.332817\pi\)
0.501403 + 0.865214i \(0.332817\pi\)
\(578\) −32.3859 + 7.39472i −1.34708 + 0.307580i
\(579\) −11.6125 −0.482600
\(580\) −23.7202 3.30882i −0.984927 0.137391i
\(581\) −52.1734 + 18.8381i −2.16452 + 0.781534i
\(582\) −39.1936 11.1515i −1.62463 0.462246i
\(583\) 19.3281 20.2424i 0.800489 0.838353i
\(584\) 2.14338 0.452142i 0.0886939 0.0187098i
\(585\) 2.89173 0.895464i 0.119558 0.0370229i
\(586\) 14.9432 + 6.59805i 0.617296 + 0.272563i
\(587\) −33.3933 + 27.7295i −1.37829 + 1.14452i −0.405163 + 0.914244i \(0.632785\pi\)
−0.973126 + 0.230273i \(0.926038\pi\)
\(588\) −31.7103 + 25.1174i −1.30771 + 1.03582i
\(589\) −2.90773 25.0631i −0.119811 1.03271i
\(590\) −45.4245 + 3.15296i −1.87010 + 0.129805i
\(591\) 6.50735 + 16.7974i 0.267677 + 0.690953i
\(592\) 1.10750 0.180659i 0.0455178 0.00742504i
\(593\) 4.09292 9.26958i 0.168076 0.380656i −0.810737 0.585410i \(-0.800934\pi\)
0.978813 + 0.204754i \(0.0656394\pi\)
\(594\) 22.8124 + 14.1248i 0.936003 + 0.579549i
\(595\) 9.95937 34.5752i 0.408294 1.41744i
\(596\) 4.65424 2.88179i 0.190645 0.118043i
\(597\) 1.81696 + 13.0254i 0.0743633 + 0.533093i
\(598\) 2.43664 1.43193i 0.0996418 0.0585558i
\(599\) 5.39541 4.07443i 0.220451 0.166477i −0.486633 0.873606i \(-0.661775\pi\)
0.707084 + 0.707130i \(0.250010\pi\)
\(600\) 0.000966274 0.0418227i 3.94480e−5 0.00170740i
\(601\) 5.78977 + 18.6969i 0.236170 + 0.762664i 0.993919 + 0.110117i \(0.0351227\pi\)
−0.757749 + 0.652546i \(0.773701\pi\)
\(602\) 47.7998 + 3.31783i 1.94818 + 0.135225i
\(603\) −1.22588 26.5155i −0.0499219 1.07979i
\(604\) 1.58203 + 6.72640i 0.0643721 + 0.273693i
\(605\) 13.9390 23.7194i 0.566701 0.964330i
\(606\) −67.5919 + 1.56165i −2.74573 + 0.0634376i
\(607\) 33.1117 + 26.2274i 1.34396 + 1.06454i 0.991691 + 0.128641i \(0.0410615\pi\)
0.352272 + 0.935897i \(0.385409\pi\)
\(608\) −10.2859 + 16.6123i −0.417149 + 0.673719i
\(609\) −61.6458 1.42427i −2.49801 0.0577142i
\(610\) 40.5487 + 33.6712i 1.64177 + 1.36331i
\(611\) 1.34502 + 2.70117i 0.0544139 + 0.109278i
\(612\) −25.2223 + 17.1572i −1.01955 + 0.693538i
\(613\) −15.5017 + 31.1316i −0.626107 + 1.25739i 0.324174 + 0.945997i \(0.394914\pi\)
−0.950281 + 0.311394i \(0.899204\pi\)
\(614\) 21.3782 9.43940i 0.862754 0.380943i
\(615\) 21.7512 18.9276i 0.877093 0.763236i
\(616\) 6.72199i 0.270837i
\(617\) 11.9913 + 13.7802i 0.482753 + 0.554769i 0.942901 0.333074i \(-0.108086\pi\)
−0.460147 + 0.887842i \(0.652203\pi\)
\(618\) 25.8549 10.7094i 1.04004 0.430797i
\(619\) −27.1922 12.7650i −1.09295 0.513069i −0.207702 0.978192i \(-0.566598\pi\)
−0.885246 + 0.465123i \(0.846010\pi\)
\(620\) 35.4012 19.7184i 1.42175 0.791908i
\(621\) 11.9675 + 2.81472i 0.480238 + 0.112951i
\(622\) 2.76771 16.9669i 0.110975 0.680311i
\(623\) 1.81637 26.1683i 0.0727713 1.04841i
\(624\) −0.619488 3.79765i −0.0247994 0.152028i
\(625\) 24.6706 2.28607i 0.986824 0.0914427i
\(626\) 29.3684 + 6.19520i 1.17380 + 0.247610i
\(627\) 26.7199 18.3035i 1.06709 0.730973i
\(628\) −3.96756 + 42.8168i −0.158323 + 1.70858i
\(629\) 0.666149 0.835396i 0.0265611 0.0333094i
\(630\) −6.40158 69.0841i −0.255045 2.75238i
\(631\) 4.65396 + 5.60455i 0.185271 + 0.223114i 0.853838 0.520538i \(-0.174269\pi\)
−0.668567 + 0.743652i \(0.733092\pi\)
\(632\) −1.14799 + 1.44932i −0.0456647 + 0.0576509i
\(633\) 6.71643 + 5.07202i 0.266954 + 0.201595i
\(634\) −49.7459 5.77133i −1.97566 0.229209i
\(635\) −3.07427 5.83233i −0.121999 0.231449i
\(636\) 19.3344 + 20.2489i 0.766657 + 0.802921i
\(637\) −2.30719 1.58046i −0.0914143 0.0626203i
\(638\) 35.6959 42.9869i 1.41321 1.70187i
\(639\) 4.82456 + 22.8709i 0.190857 + 0.904759i
\(640\) 6.21040 + 1.01306i 0.245488 + 0.0400449i
\(641\) −22.8537 + 35.0733i −0.902668 + 1.38531i 0.0200342 + 0.999799i \(0.493622\pi\)
−0.922703 + 0.385513i \(0.874025\pi\)
\(642\) 30.2779 + 33.2133i 1.19497 + 1.31082i
\(643\) −5.17326 2.14283i −0.204013 0.0845051i 0.278337 0.960483i \(-0.410217\pi\)
−0.482350 + 0.875978i \(0.660217\pi\)
\(644\) −9.80297 29.2481i −0.386291 1.15254i
\(645\) −22.3100 + 29.5432i −0.878455 + 1.16326i
\(646\) 3.66646 + 19.9739i 0.144255 + 0.785862i
\(647\) −15.0431 19.9202i −0.591404 0.783145i 0.399641 0.916672i \(-0.369135\pi\)
−0.991045 + 0.133526i \(0.957370\pi\)
\(648\) −0.932833 + 1.36177i −0.0366452 + 0.0534953i
\(649\) 23.5899 44.7534i 0.925984 1.75672i
\(650\) −0.0278595 + 0.00792670i −0.00109274 + 0.000310911i
\(651\) 84.6875 60.9333i 3.31917 2.38816i
\(652\) −6.06751 + 3.95358i −0.237622 + 0.154834i
\(653\) 0.892852 + 2.15554i 0.0349400 + 0.0843527i 0.940386 0.340108i \(-0.110464\pi\)
−0.905446 + 0.424461i \(0.860464\pi\)
\(654\) −7.47758 + 53.6050i −0.292397 + 2.09612i
\(655\) 6.20448 + 14.0518i 0.242429 + 0.549049i
\(656\) −11.5165 17.6743i −0.449645 0.690064i
\(657\) 6.31454 24.3135i 0.246354 0.948561i
\(658\) 66.9376 17.3846i 2.60950 0.677721i
\(659\) 2.32670 12.4468i 0.0906356 0.484857i −0.907291 0.420502i \(-0.861854\pi\)
0.997927 0.0643552i \(-0.0204991\pi\)
\(660\) 43.5807 + 28.3972i 1.69638 + 1.10536i
\(661\) −13.9719 + 0.645960i −0.543444 + 0.0251249i −0.316164 0.948704i \(-0.602395\pi\)
−0.227280 + 0.973829i \(0.572983\pi\)
\(662\) 21.8315 8.45757i 0.848506 0.328713i
\(663\) −2.86461 2.28425i −0.111252 0.0887131i
\(664\) −4.68136 1.81357i −0.181672 0.0703801i
\(665\) −20.8556 6.99009i −0.808745 0.271064i
\(666\) 0.609443 1.96808i 0.0236155 0.0762615i
\(667\) 9.24851 23.8732i 0.358104 0.924372i
\(668\) 3.81079 18.0651i 0.147444 0.698959i
\(669\) 5.75629 + 7.26723i 0.222551 + 0.280967i
\(670\) −0.655519 28.3725i −0.0253249 1.09612i
\(671\) −55.5232 + 18.6095i −2.14345 + 0.718412i
\(672\) −80.7067 3.73130i −3.11333 0.143938i
\(673\) −5.50314 3.95955i −0.212130 0.152629i 0.472969 0.881079i \(-0.343182\pi\)
−0.685099 + 0.728450i \(0.740241\pi\)
\(674\) 8.80260 + 3.17832i 0.339064 + 0.122424i
\(675\) −0.111461 0.0587520i −0.00429013 0.00226136i
\(676\) 20.9795 10.4466i 0.806904 0.401790i
\(677\) 24.0275 + 22.9423i 0.923450 + 0.881743i 0.993271 0.115816i \(-0.0369484\pi\)
−0.0698202 + 0.997560i \(0.522243\pi\)
\(678\) 12.3937 52.6947i 0.475977 2.02373i
\(679\) −30.2238 5.64981i −1.15988 0.216820i
\(680\) 2.73417 1.76892i 0.104851 0.0678349i
\(681\) −36.5839 + 6.83872i −1.40190 + 0.262060i
\(682\) −4.36616 + 94.4385i −0.167189 + 3.61624i
\(683\) 5.43917 46.8829i 0.208124 1.79392i −0.322761 0.946480i \(-0.604611\pi\)
0.530885 0.847444i \(-0.321859\pi\)
\(684\) 9.81692 + 15.8549i 0.375359 + 0.606226i
\(685\) −25.1837 42.8539i −0.962218 1.63736i
\(686\) −7.57505 + 7.23292i −0.289217 + 0.276154i
\(687\) 12.8143 35.4902i 0.488896 1.35404i
\(688\) 19.1522 + 19.1522i 0.730170 + 0.730170i
\(689\) −0.941829 + 1.69091i −0.0358808 + 0.0644184i
\(690\) 48.4400 + 12.5805i 1.84408 + 0.478932i
\(691\) 12.6736 26.9974i 0.482125 1.02703i −0.504407 0.863466i \(-0.668289\pi\)
0.986533 0.163565i \(-0.0522993\pi\)
\(692\) 14.4563 + 40.0379i 0.549547 + 1.52201i
\(693\) 69.0029 + 34.3594i 2.62120 + 1.30520i
\(694\) −25.4913 35.4288i −0.967636 1.34486i
\(695\) −16.7331 9.32025i −0.634721 0.353537i
\(696\) −4.12426 3.75976i −0.156330 0.142513i
\(697\) −19.4250 5.11255i −0.735775 0.193652i
\(698\) 53.1137 48.4196i 2.01038 1.83271i
\(699\) 13.7644 3.23737i 0.520619 0.122449i
\(700\) 0.0218911 + 0.315383i 0.000827405 + 0.0119204i
\(701\) 0.104728 + 0.00970452i 0.00395554 + 0.000366535i 0.0942459 0.995549i \(-0.469956\pi\)
−0.0902904 + 0.995915i \(0.528780\pi\)
\(702\) −1.77248 0.548873i −0.0668978 0.0207159i
\(703\) −0.492740 0.428777i −0.0185841 0.0161716i
\(704\) 20.5827 23.6532i 0.775740 0.891462i
\(705\) −16.9809 + 50.6642i −0.639539 + 1.90813i
\(706\) 11.4558 + 16.7234i 0.431144 + 0.629393i
\(707\) −50.6754 + 5.87916i −1.90584 + 0.221109i
\(708\) 43.6302 + 25.6399i 1.63972 + 0.963605i
\(709\) −10.9633 + 26.4677i −0.411734 + 0.994013i 0.572938 + 0.819598i \(0.305803\pi\)
−0.984672 + 0.174415i \(0.944197\pi\)
\(710\) 4.59212 + 24.5657i 0.172339 + 0.921934i
\(711\) 9.00971 + 19.1926i 0.337891 + 0.719780i
\(712\) 1.67873 1.67873i 0.0629132 0.0629132i
\(713\) 11.8545 + 41.6641i 0.443953 + 1.56033i
\(714\) −64.7765 + 53.4341i −2.42420 + 1.99972i
\(715\) −0.984096 + 3.45874i −0.0368031 + 0.129350i
\(716\) −8.10120 14.5444i −0.302756 0.543551i
\(717\) 1.77927 + 6.85090i 0.0664480 + 0.255851i
\(718\) 38.2759 41.9867i 1.42845 1.56693i
\(719\) −28.7073 + 13.4762i −1.07060 + 0.502578i −0.877981 0.478695i \(-0.841110\pi\)
−0.192619 + 0.981274i \(0.561698\pi\)
\(720\) 22.9056 31.8351i 0.853641 1.18642i
\(721\) 18.6800 9.84642i 0.695681 0.366700i
\(722\) −24.4761 + 3.41428i −0.910908 + 0.127066i
\(723\) 3.44381 0.480391i 0.128077 0.0178659i
\(724\) 42.3602 22.3284i 1.57430 0.829830i
\(725\) −0.153244 + 0.212985i −0.00569135 + 0.00791007i
\(726\) −58.1211 + 27.2841i −2.15707 + 1.01261i
\(727\) 9.43409 10.3487i 0.349891 0.383812i −0.538711 0.842490i \(-0.681089\pi\)
0.888602 + 0.458678i \(0.151677\pi\)
\(728\) −0.116853 0.449932i −0.00433087 0.0166756i
\(729\) 20.2372 + 36.3328i 0.749528 + 1.34566i
\(730\) 7.35001 25.8326i 0.272036 0.956107i
\(731\) 25.7586 + 1.27501i 0.952716 + 0.0471578i
\(732\) −16.0306 56.3416i −0.592507 2.08245i
\(733\) 4.07675 4.07675i 0.150578 0.150578i −0.627798 0.778376i \(-0.716044\pi\)
0.778376 + 0.627798i \(0.216044\pi\)
\(734\) −10.8161 23.0407i −0.399231 0.850447i
\(735\) −9.09969 48.6791i −0.335647 1.79555i
\(736\) 12.8371 30.9915i 0.473182 1.14236i
\(737\) 27.1848 + 15.9755i 1.00137 + 0.588465i
\(738\) −38.4736 + 4.46356i −1.41623 + 0.164306i
\(739\) 13.7822 + 20.1196i 0.506988 + 0.740111i 0.990840 0.135039i \(-0.0431159\pi\)
−0.483853 + 0.875149i \(0.660763\pi\)
\(740\) 0.333373 0.994650i 0.0122550 0.0365641i
\(741\) −1.47030 + 1.68963i −0.0540127 + 0.0620701i
\(742\) 33.4638 + 29.1198i 1.22850 + 1.06902i
\(743\) 4.64681 + 1.43895i 0.170475 + 0.0527900i 0.379864 0.925042i \(-0.375971\pi\)
−0.209389 + 0.977832i \(0.567147\pi\)
\(744\) 9.40225 + 0.871246i 0.344703 + 0.0319414i
\(745\) 0.464041 + 6.68541i 0.0170012 + 0.244935i
\(746\) 12.8743 3.02801i 0.471362 0.110863i
\(747\) −42.5455 + 38.7854i −1.55666 + 1.41908i
\(748\) −0.718952 36.2293i −0.0262875 1.32468i
\(749\) 25.0612 + 22.8463i 0.915716 + 0.834785i
\(750\) −50.9669 28.3884i −1.86105 1.03660i
\(751\) −3.35621 4.66460i −0.122470 0.170214i 0.746015 0.665929i \(-0.231965\pi\)
−0.868485 + 0.495715i \(0.834906\pi\)
\(752\) 34.9953 + 17.4256i 1.27615 + 0.635446i
\(753\) 4.47679 + 12.3988i 0.163143 + 0.451837i
\(754\) −1.64201 + 3.49783i −0.0597984 + 0.127384i
\(755\) −8.18753 2.12641i −0.297975 0.0773880i
\(756\) −9.85477 + 17.6927i −0.358415 + 0.643478i
\(757\) −30.7963 30.7963i −1.11931 1.11931i −0.991843 0.127469i \(-0.959315\pi\)
−0.127469 0.991843i \(-0.540685\pi\)
\(758\) 7.13986 19.7744i 0.259331 0.718237i
\(759\) −40.2159 + 38.3996i −1.45975 + 1.39382i
\(760\) −1.00862 1.71633i −0.0365866 0.0622578i
\(761\) 11.2640 + 18.1919i 0.408319 + 0.659458i 0.987835 0.155503i \(-0.0496998\pi\)
−0.579517 + 0.814960i \(0.696759\pi\)
\(762\) −1.77319 + 15.2840i −0.0642358 + 0.553680i
\(763\) −1.88611 + 40.7959i −0.0682817 + 1.47691i
\(764\) −11.5137 + 2.15228i −0.416550 + 0.0778667i
\(765\) −4.18273 37.1088i −0.151227 1.34167i
\(766\) 11.7738 + 2.20091i 0.425405 + 0.0795219i
\(767\) −0.800995 + 3.40562i −0.0289223 + 0.122970i
\(768\) −35.5708 33.9642i −1.28355 1.22558i
\(769\) 38.6731 19.2569i 1.39459 0.694423i 0.417783 0.908547i \(-0.362807\pi\)
0.976806 + 0.214124i \(0.0686897\pi\)
\(770\) 72.9082 + 38.4306i 2.62743 + 1.38494i
\(771\) −59.1845 21.3695i −2.13148 0.769605i
\(772\) 6.44714 + 4.63876i 0.232037 + 0.166953i
\(773\) 3.87614 + 0.179205i 0.139415 + 0.00644554i 0.115778 0.993275i \(-0.463064\pi\)
0.0236366 + 0.999721i \(0.492476\pi\)
\(774\) 47.1516 15.8036i 1.69483 0.568050i
\(775\) −0.0102543 0.443830i −0.000368345 0.0159429i
\(776\) −1.72787 2.18141i −0.0620269 0.0783080i
\(777\) 0.557475 2.64272i 0.0199993 0.0948070i
\(778\) −24.8825 + 64.2290i −0.892079 + 2.30272i
\(779\) −3.63228 + 11.7297i −0.130140 + 0.420262i
\(780\) −3.41070 1.14315i −0.122123 0.0409314i
\(781\) −25.8913 10.0303i −0.926464 0.358914i
\(782\) −11.7334 32.8310i −0.419586 1.17404i
\(783\) −15.6735 + 6.07193i −0.560124 + 0.216993i
\(784\) −36.1930 + 1.67330i −1.29261 + 0.0597609i
\(785\) −44.1042 28.7382i −1.57414 1.02571i
\(786\) 6.58709 35.2378i 0.234954 1.25689i
\(787\) 28.8579 7.49479i 1.02867 0.267160i 0.301393 0.953500i \(-0.402548\pi\)
0.727281 + 0.686340i \(0.240784\pi\)
\(788\) 3.09712 11.9252i 0.110330 0.424816i
\(789\) 2.01840 + 3.09761i 0.0718570 + 0.110278i
\(790\) 9.15644 + 20.7374i 0.325771 + 0.737802i
\(791\) 5.64312 40.4542i 0.200646 1.43839i
\(792\) 2.66982 + 6.44552i 0.0948679 + 0.229031i
\(793\) 3.39291 2.21082i 0.120486 0.0785085i
\(794\) 59.2586 42.6370i 2.10301 1.51313i
\(795\) −32.9656 + 9.37953i −1.16917 + 0.332658i
\(796\) 4.19438 7.95733i 0.148666 0.282040i
\(797\) −6.50777 + 9.50017i −0.230517 + 0.336513i −0.922916 0.385002i \(-0.874201\pi\)
0.692399 + 0.721515i \(0.256554\pi\)
\(798\) 30.9352 + 40.9649i 1.09509 + 1.45014i
\(799\) 35.8364 10.0702i 1.26780 0.356259i
\(800\) −0.207181 + 0.274351i −0.00732494 + 0.00969979i
\(801\) −8.65180 25.8135i −0.305696 0.912074i
\(802\) 15.2618 + 6.32163i 0.538911 + 0.223224i
\(803\) 20.1032 + 22.0522i 0.709428 + 0.778206i
\(804\) −17.2195 + 26.4265i −0.607285 + 0.931992i
\(805\) 37.2705 + 6.07971i 1.31361 + 0.214282i
\(806\) −1.34945 6.39709i −0.0475324 0.225328i
\(807\) 26.3472 31.7287i 0.927466 1.11690i
\(808\) −3.80917 2.60934i −0.134006 0.0917963i
\(809\) −28.6459 30.0008i −1.00713 1.05477i −0.998497 0.0548102i \(-0.982545\pi\)
−0.00863773 0.999963i \(-0.502750\pi\)
\(810\) 9.43691 + 17.9032i 0.331579 + 0.629053i
\(811\) 16.5414 + 1.91907i 0.580849 + 0.0673878i 0.400632 0.916239i \(-0.368791\pi\)
0.180217 + 0.983627i \(0.442320\pi\)
\(812\) 33.6560 + 25.4159i 1.18110 + 0.891922i
\(813\) −38.9761 + 49.2067i −1.36695 + 1.72576i
\(814\) 1.56352 + 1.88288i 0.0548014 + 0.0659948i
\(815\) −0.818012 8.82775i −0.0286537 0.309223i
\(816\) −47.4509 1.25100i −1.66111 0.0437938i
\(817\) 1.45470 15.6987i 0.0508935 0.549229i
\(818\) −8.60762 + 5.89635i −0.300958 + 0.206161i
\(819\) −5.21597 1.10030i −0.182261 0.0384474i
\(820\) −19.6369 + 1.81962i −0.685749 + 0.0635440i
\(821\) 3.06290 + 18.7766i 0.106896 + 0.655306i 0.984428 + 0.175788i \(0.0562474\pi\)
−0.877532 + 0.479518i \(0.840811\pi\)
\(822\) −8.03250 + 115.724i −0.280166 + 4.03633i
\(823\) 4.23989 25.9919i 0.147793 0.906019i −0.802951 0.596044i \(-0.796738\pi\)
0.950745 0.309975i \(-0.100321\pi\)
\(824\) 1.86038 + 0.437558i 0.0648095 + 0.0152431i
\(825\) 0.497852 0.277302i 0.0173330 0.00965440i
\(826\) 72.5832 + 34.0732i 2.52549 + 1.18556i
\(827\) −38.9304 + 16.1255i −1.35374 + 0.560738i −0.937332 0.348438i \(-0.886712\pi\)
−0.416410 + 0.909177i \(0.636712\pi\)
\(828\) −21.0165 24.1516i −0.730372 0.839326i
\(829\) 48.5006i 1.68449i −0.539091 0.842247i \(-0.681232\pi\)
0.539091 0.842247i \(-0.318768\pi\)
\(830\) −46.4344 + 40.4067i −1.61176 + 1.40254i
\(831\) −5.48268 + 2.42084i −0.190192 + 0.0839780i
\(832\) −0.966511 + 1.94102i −0.0335077 + 0.0672926i
\(833\) −24.4739 + 24.3150i −0.847972 + 0.842464i
\(834\) 19.9246 + 40.0140i 0.689933 + 1.38557i
\(835\) 17.3885 + 14.4392i 0.601753 + 0.499690i
\(836\) −22.1461 0.511665i −0.765939 0.0176963i
\(837\) 14.9714 24.1797i 0.517488 0.835773i
\(838\) 0.303256 + 0.240206i 0.0104758 + 0.00829777i
\(839\) −14.2105 + 0.328321i −0.490602 + 0.0113349i −0.267693 0.963504i \(-0.586261\pi\)
−0.222909 + 0.974839i \(0.571555\pi\)
\(840\) 4.17063 7.09697i 0.143900 0.244869i
\(841\) 1.37447 + 5.84387i 0.0473954 + 0.201513i
\(842\) −0.473721 10.2464i −0.0163255 0.353115i
\(843\) −68.0945 4.72651i −2.34530 0.162790i
\(844\) −1.70281 5.49888i −0.0586130 0.189279i
\(845\) −0.662702 + 28.6833i −0.0227976 + 0.986737i
\(846\) 57.2797 43.2557i 1.96932 1.48716i
\(847\) −41.7688 + 24.5460i −1.43519 + 0.843409i
\(848\) 3.46437 + 24.8352i 0.118967 + 0.852845i
\(849\) 45.1169 27.9352i 1.54841 0.958735i
\(850\) 0.0318097 + 0.355898i 0.00109106 + 0.0122072i
\(851\) 0.953432 + 0.590340i 0.0326832 + 0.0202366i
\(852\) 11.2190 25.4086i 0.384357 0.870486i
\(853\) −29.0479 + 4.73841i −0.994583 + 0.162240i −0.636357 0.771395i \(-0.719559\pi\)
−0.358226 + 0.933635i \(0.616618\pi\)
\(854\) −33.5280 86.5458i −1.14731 2.96154i
\(855\) −22.7741 + 1.58077i −0.778859 + 0.0540614i
\(856\) 0.353707 + 3.04878i 0.0120895 + 0.104205i
\(857\) −6.90005 + 5.46546i −0.235701 + 0.186696i −0.731700 0.681627i \(-0.761273\pi\)
0.495999 + 0.868323i \(0.334802\pi\)
\(858\) 6.45647 5.36138i 0.220420 0.183035i
\(859\) −42.0111 18.5497i −1.43340 0.632908i −0.465684 0.884951i \(-0.654191\pi\)
−0.967716 + 0.252044i \(0.918897\pi\)
\(860\) 24.1876 7.49004i 0.824791 0.255408i
\(861\) −49.6811 + 10.4801i −1.69313 + 0.357161i
\(862\) −20.3230 + 21.2843i −0.692204 + 0.724946i
\(863\) −27.0593 7.69903i −0.921109 0.262078i −0.220304 0.975431i \(-0.570705\pi\)
−0.700805 + 0.713353i \(0.747176\pi\)
\(864\) −20.7144 + 7.47928i −0.704719 + 0.254450i
\(865\) −51.6118 7.19954i −1.75485 0.244792i
\(866\) 9.06894 0.308175
\(867\) −34.2884 + 29.4470i −1.16450 + 1.00007i
\(868\) −71.3580 −2.42205
\(869\) −24.9446 3.47962i −0.846187 0.118038i
\(870\) −64.3582 + 23.2376i −2.18195 + 0.787827i
\(871\) −2.09731 0.596738i −0.0710648 0.0202197i
\(872\) −2.55255 + 2.67329i −0.0864403 + 0.0905290i
\(873\) −31.2247 + 6.58678i −1.05680 + 0.222929i
\(874\) −20.3596 + 6.30465i −0.688675 + 0.213258i
\(875\) −40.2696 17.7808i −1.36136 0.601099i
\(876\) −22.9645 + 19.0695i −0.775899 + 0.644299i
\(877\) 9.14456 7.24330i 0.308790 0.244589i −0.454349 0.890824i \(-0.650128\pi\)
0.763138 + 0.646235i \(0.223657\pi\)
\(878\) −5.18732 44.7120i −0.175063 1.50896i
\(879\) 22.1717 1.53896i 0.747833 0.0519078i
\(880\) 16.8297 + 43.4425i 0.567329 + 1.46444i
\(881\) 30.2913 4.94123i 1.02054 0.166474i 0.372461 0.928048i \(-0.378514\pi\)
0.648079 + 0.761573i \(0.275573\pi\)
\(882\) −26.8699 + 60.8546i −0.904757 + 2.04908i
\(883\) 10.5856 + 6.55436i 0.356235 + 0.220572i 0.692868 0.721064i \(-0.256347\pi\)
−0.336633 + 0.941636i \(0.609288\pi\)
\(884\) 0.677925 + 2.41249i 0.0228011 + 0.0811409i
\(885\) −52.6729 + 32.6137i −1.77058 + 1.09630i
\(886\) −5.37535 38.5346i −0.180588 1.29460i
\(887\) −15.1944 + 8.92918i −0.510177 + 0.299812i −0.739058 0.673642i \(-0.764729\pi\)
0.228880 + 0.973455i \(0.426494\pi\)
\(888\) 0.195072 0.147311i 0.00654618 0.00494344i
\(889\) −0.268165 + 11.6068i −0.00899395 + 0.389280i
\(890\) −8.61036 27.8055i −0.288620 0.932041i
\(891\) −22.4313 1.55698i −0.751478 0.0521609i
\(892\) −0.292843 6.33409i −0.00980510 0.212081i
\(893\) −5.20999 22.1515i −0.174346 0.741272i
\(894\) 7.92395 13.4838i 0.265016 0.450967i
\(895\) 20.3756 0.470758i 0.681080 0.0157357i
\(896\) −8.68606 6.88013i −0.290181 0.229849i
\(897\) 2.02430 3.26936i 0.0675895 0.109161i
\(898\) −52.3340 1.20913i −1.74641 0.0403491i
\(899\) −45.5634 37.8354i −1.51962 1.26188i
\(900\) 0.146254 + 0.293717i 0.00487513 + 0.00979058i
\(901\) 18.3193 + 15.3133i 0.610305 + 0.510159i
\(902\) 20.5082 41.1860i 0.682848 1.37134i
\(903\) 59.6371 26.3324i 1.98460 0.876286i
\(904\) 2.78876 2.42675i 0.0927528 0.0807124i
\(905\) 58.6205i 1.94861i
\(906\) 12.9594 + 14.8926i 0.430547 + 0.494774i
\(907\) 24.7423 10.2486i 0.821553 0.340298i 0.0679999 0.997685i \(-0.478338\pi\)
0.753553 + 0.657387i \(0.228338\pi\)
\(908\) 23.0427 + 10.8171i 0.764700 + 0.358978i
\(909\) −46.2561 + 25.7645i −1.53422 + 0.854554i
\(910\) −5.54814 1.30491i −0.183919 0.0432573i
\(911\) −3.83384 + 23.5026i −0.127021 + 0.778677i 0.843405 + 0.537278i \(0.180547\pi\)
−0.970426 + 0.241399i \(0.922394\pi\)
\(912\) −2.00931 + 28.9480i −0.0665349 + 0.958565i
\(913\) −11.0103 67.4966i −0.364388 2.23381i
\(914\) −13.8926 + 1.28734i −0.459527 + 0.0425815i
\(915\) 70.1668 + 14.8015i 2.31964 + 0.489323i
\(916\) −21.2913 + 14.5849i −0.703485 + 0.481898i
\(917\) 2.49580 26.9340i 0.0824185 0.889438i
\(918\) −10.7393 + 20.2141i −0.354450 + 0.667164i
\(919\) −0.570410 6.15570i −0.0188161 0.203058i −0.999953 0.00974151i \(-0.996899\pi\)
0.981136 0.193316i \(-0.0619244\pi\)
\(920\) 2.18344 + 2.62942i 0.0719860 + 0.0866894i
\(921\) 19.7423 24.9243i 0.650531 0.821285i
\(922\) −57.8799 43.7089i −1.90617 1.43948i
\(923\) 1.90739 + 0.221287i 0.0627823 + 0.00728376i
\(924\) −42.7118 81.0302i −1.40511 2.66570i
\(925\) −0.00793678 0.00831219i −0.000260960 0.000273303i
\(926\) 48.2689 + 33.0650i 1.58622 + 1.08658i
\(927\) 14.0010 16.8607i 0.459852 0.553779i
\(928\) 9.46638 + 44.8755i 0.310749 + 1.47311i
\(929\) 45.2770 + 7.38576i 1.48549 + 0.242319i 0.848764 0.528771i \(-0.177347\pi\)
0.636726 + 0.771090i \(0.280288\pi\)
\(930\) 63.2037 96.9978i 2.07253 3.18068i
\(931\) 14.2082 + 15.5857i 0.465656 + 0.510800i
\(932\) −8.93506 3.70102i −0.292678 0.121231i
\(933\) −7.43312 22.1774i −0.243349 0.726056i
\(934\) −21.9281 + 29.0375i −0.717509 + 0.950135i
\(935\) 39.6454 + 19.9025i 1.29654 + 0.650883i
\(936\) −0.290750 0.385016i −0.00950347 0.0125846i
\(937\) −13.4719 + 19.6665i −0.440107 + 0.642477i −0.979939 0.199295i \(-0.936135\pi\)
0.539832 + 0.841773i \(0.318488\pi\)
\(938\) −23.3036 + 44.2102i −0.760889 + 1.44351i
\(939\) 39.2785 11.1757i 1.28180 0.364705i
\(940\) 29.6660 21.3449i 0.967599 0.696195i
\(941\) 17.8454 11.6280i 0.581742 0.379063i −0.221103 0.975250i \(-0.570966\pi\)
0.802845 + 0.596188i \(0.203319\pi\)
\(942\) 47.0134 + 113.500i 1.53178 + 3.69804i
\(943\) 2.91253 20.8793i 0.0948451 0.679922i
\(944\) 18.3080 + 41.4637i 0.595876 + 1.34953i
\(945\) −13.5351 20.7721i −0.440295 0.675715i
\(946\) −14.8496 + 57.1770i −0.482803 + 1.85898i
\(947\) −9.60763 + 2.49523i −0.312206 + 0.0810841i −0.404186 0.914677i \(-0.632445\pi\)
0.0919799 + 0.995761i \(0.470680\pi\)
\(948\) 4.62943 24.7652i 0.150357 0.804338i
\(949\) −1.72895 1.12658i −0.0561241 0.0365704i
\(950\) 0.218201 0.0100881i 0.00707938 0.000327300i
\(951\) −63.5360 + 24.6140i −2.06030 + 0.798163i
\(952\) −5.72204 + 0.378444i −0.185452 + 0.0122654i
\(953\) −14.2040 5.50267i −0.460113 0.178249i 0.120018 0.992772i \(-0.461705\pi\)
−0.580131 + 0.814523i \(0.696999\pi\)
\(954\) 43.6532 + 14.6311i 1.41333 + 0.473699i
\(955\) 4.24162 13.6975i 0.137256 0.443240i
\(956\) 1.74884 4.51428i 0.0565616 0.146002i
\(957\) 15.6915 74.3859i 0.507235 2.40455i
\(958\) −31.0548 39.2062i −1.00334 1.26670i
\(959\) 2.02175 + 87.5064i 0.0652858 + 2.82573i
\(960\) −36.4064 + 12.2022i −1.17501 + 0.393824i
\(961\) 69.1320 + 3.19617i 2.23006 + 0.103102i
\(962\) −0.137385 0.0988494i −0.00442946 0.00318703i
\(963\) 33.1045 + 11.9529i 1.06678 + 0.385177i
\(964\) −2.10386 1.10896i −0.0677607 0.0357173i
\(965\) −8.70389 + 4.33402i −0.280188 + 0.139517i
\(966\) −63.7405 60.8617i −2.05082 1.95819i
\(967\) 10.9654 46.6220i 0.352623 1.49926i −0.444683 0.895688i \(-0.646684\pi\)
0.797307 0.603574i \(-0.206257\pi\)
\(968\) −4.31010 0.805698i −0.138532 0.0258961i
\(969\) 17.0851 + 21.7146i 0.548851 + 0.697573i
\(970\) −33.5385 + 6.26944i −1.07686 + 0.201300i
\(971\) −1.46817 + 31.7559i −0.0471157 + 1.01910i 0.835644 + 0.549272i \(0.185095\pi\)
−0.882760 + 0.469825i \(0.844317\pi\)
\(972\) 4.37822 37.7381i 0.140432 1.21045i
\(973\) 17.7559 + 28.6767i 0.569227 + 0.919334i
\(974\) −0.394770 0.671762i −0.0126492 0.0215247i
\(975\) −0.0285029 + 0.0272156i −0.000912823 + 0.000871596i
\(976\) 17.8176 49.3473i 0.570329 1.57957i
\(977\) 5.57499 + 5.57499i 0.178360 + 0.178360i 0.790640 0.612281i \(-0.209748\pi\)
−0.612281 + 0.790640i \(0.709748\pi\)
\(978\) −10.0680 + 18.0754i −0.321938 + 0.577989i
\(979\) 31.3019 + 8.12952i 1.00041 + 0.259821i
\(980\) −14.3934 + 30.6610i −0.459780 + 0.979429i
\(981\) 14.3947 + 39.8671i 0.459586 + 1.27286i
\(982\) −33.1041 16.4839i −1.05639 0.526022i
\(983\) 28.0121 + 38.9323i 0.893447 + 1.24175i 0.969611 + 0.244652i \(0.0786738\pi\)
−0.0761644 + 0.997095i \(0.524267\pi\)
\(984\) −4.01464 2.23614i −0.127982 0.0712855i
\(985\) 11.1465 + 10.1614i 0.355158 + 0.323770i
\(986\) 38.6019 + 27.9657i 1.22933 + 0.890608i
\(987\) 69.5372 63.3915i 2.21339 2.01777i
\(988\) 1.49123 0.350735i 0.0474424 0.0111584i
\(989\) 1.87427 + 27.0025i 0.0595984 + 0.858631i
\(990\) 85.1733 + 7.89247i 2.70698 + 0.250839i
\(991\) 29.1260 + 9.01927i 0.925217 + 0.286507i 0.721413 0.692505i \(-0.243493\pi\)
0.203804 + 0.979012i \(0.434669\pi\)
\(992\) −58.5384 50.9395i −1.85860 1.61733i
\(993\) 20.9108 24.0302i 0.663584 0.762575i
\(994\) 13.9855 41.7270i 0.443593 1.32350i
\(995\) 6.22318 + 9.08472i 0.197288 + 0.288005i
\(996\) 67.9550 7.88387i 2.15324 0.249810i
\(997\) −30.8970 18.1570i −0.978519 0.575039i −0.0720902 0.997398i \(-0.522967\pi\)
−0.906429 + 0.422359i \(0.861202\pi\)
\(998\) 1.47529 3.56168i 0.0466996 0.112743i
\(999\) −0.135282 0.723697i −0.00428014 0.0228967i
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 289.2.i.a.128.6 yes 1600
289.70 even 136 inner 289.2.i.a.70.6 1600
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
289.2.i.a.70.6 1600 289.70 even 136 inner
289.2.i.a.128.6 yes 1600 1.1 even 1 trivial