Properties

Label 605.2.s.b.416.12
Level $605$
Weight $2$
Character 605.416
Analytic conductor $4.831$
Analytic rank $0$
Dimension $880$
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] = [605,2,Mod(16,605)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(605, base_ring=CyclotomicField(110))
 
chi = DirichletCharacter(H, H._module([0, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("605.16");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 605 = 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 605.s (of order \(55\), degree \(40\), 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: \(4.83094932229\)
Analytic rank: \(0\)
Dimension: \(880\)
Relative dimension: \(22\) over \(\Q(\zeta_{55})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{55}]$

Embedding invariants

Embedding label 416.12
Character \(\chi\) \(=\) 605.416
Dual form 605.2.s.b.16.12

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.252480 - 0.0289694i) q^{2} +(2.55133 - 1.85365i) q^{3} +(-1.88512 + 0.438365i) q^{4} +(-0.564443 - 0.825472i) q^{5} +(0.590461 - 0.541921i) q^{6} +(-0.840226 + 0.864572i) q^{7} +(-0.941970 + 0.336094i) q^{8} +(2.14622 - 6.60538i) q^{9} +O(q^{10})\) \(q+(0.252480 - 0.0289694i) q^{2} +(2.55133 - 1.85365i) q^{3} +(-1.88512 + 0.438365i) q^{4} +(-0.564443 - 0.825472i) q^{5} +(0.590461 - 0.541921i) q^{6} +(-0.840226 + 0.864572i) q^{7} +(-0.941970 + 0.336094i) q^{8} +(2.14622 - 6.60538i) q^{9} +(-0.166424 - 0.192064i) q^{10} +(2.57360 - 2.09202i) q^{11} +(-3.99698 + 4.61276i) q^{12} +(-2.11158 - 3.50167i) q^{13} +(-0.187094 + 0.242628i) q^{14} +(-2.97022 - 1.05977i) q^{15} +(3.24558 - 1.59575i) q^{16} +(-2.71444 - 2.21958i) q^{17} +(0.350524 - 1.72990i) q^{18} +(-1.09712 + 0.0627356i) q^{19} +(1.42590 + 1.30868i) q^{20} +(-0.541080 + 3.76330i) q^{21} +(0.589180 - 0.602750i) q^{22} +(0.207803 + 1.44530i) q^{23} +(-1.78028 + 2.60357i) q^{24} +(-0.362808 + 0.931864i) q^{25} +(-0.634575 - 0.822931i) q^{26} +(-3.84479 - 11.8330i) q^{27} +(1.20493 - 1.99815i) q^{28} +(-0.00387771 - 0.00995983i) q^{29} +(-0.780622 - 0.181526i) q^{30} +(7.98936 - 3.37633i) q^{31} +(2.45595 - 1.57834i) q^{32} +(2.68824 - 10.1080i) q^{33} +(-0.749642 - 0.481766i) q^{34} +(1.18794 + 0.205581i) q^{35} +(-1.15030 + 13.3927i) q^{36} +(0.718138 + 8.36112i) q^{37} +(-0.275184 + 0.0476224i) q^{38} +(-11.8782 - 5.01978i) q^{39} +(0.809125 + 0.587864i) q^{40} +(-10.0229 - 5.66019i) q^{41} +(-0.0275916 + 0.965833i) q^{42} +(8.91576 + 2.61790i) q^{43} +(-3.93448 + 5.07189i) q^{44} +(-6.66397 + 1.95672i) q^{45} +(0.0943358 + 0.358891i) q^{46} +(0.789344 + 3.89556i) q^{47} +(5.32260 - 10.0875i) q^{48} +(0.158387 + 5.54427i) q^{49} +(-0.0646062 + 0.245788i) q^{50} +(-11.0398 - 0.631276i) q^{51} +(5.51559 + 5.67541i) q^{52} +(6.26080 + 3.07823i) q^{53} +(-1.31353 - 2.87623i) q^{54} +(-3.17956 - 0.943611i) q^{55} +(0.500890 - 1.09680i) q^{56} +(-2.68282 + 2.19373i) q^{57} +(-0.00126758 - 0.00240233i) q^{58} +(10.9463 - 6.18166i) q^{59} +(6.06377 + 0.695753i) q^{60} +(-8.31385 - 0.953925i) q^{61} +(1.91934 - 1.08390i) q^{62} +(3.90752 + 7.40557i) q^{63} +(-5.02526 + 4.10913i) q^{64} +(-1.69866 + 3.71955i) q^{65} +(0.385904 - 2.62995i) q^{66} +(0.706270 + 1.54652i) q^{67} +(6.09002 + 2.99426i) q^{68} +(3.20926 + 3.30225i) q^{69} +(0.305887 + 0.0174913i) q^{70} +(-0.458338 + 1.74370i) q^{71} +(0.198357 + 6.94340i) q^{72} +(-3.11500 + 5.90358i) q^{73} +(0.423532 + 2.09021i) q^{74} +(0.801708 + 3.05001i) q^{75} +(2.04070 - 0.599203i) q^{76} +(-0.353706 + 3.98284i) q^{77} +(-3.14444 - 0.923290i) q^{78} +(-0.247313 + 8.65709i) q^{79} +(-3.14919 - 1.77843i) q^{80} +(-14.8870 - 10.8160i) q^{81} +(-2.69456 - 1.13873i) q^{82} +(6.51277 - 1.12708i) q^{83} +(-0.629698 - 7.33144i) q^{84} +(-0.300059 + 3.49352i) q^{85} +(2.32689 + 0.402685i) q^{86} +(-0.0283554 - 0.0182229i) q^{87} +(-1.72114 + 2.83560i) q^{88} +(-2.44602 + 1.57196i) q^{89} +(-1.62584 + 0.687084i) q^{90} +(4.80165 + 1.11658i) q^{91} +(-1.02530 - 2.63347i) q^{92} +(14.1250 - 23.4236i) q^{93} +(0.312146 + 0.960686i) q^{94} +(0.671048 + 0.870230i) q^{95} +(3.34024 - 8.57935i) q^{96} +(1.94269 - 2.84110i) q^{97} +(0.200604 + 1.39523i) q^{98} +(-8.29508 - 21.4896i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 880 q + 4 q^{2} - q^{3} + 24 q^{4} + 22 q^{5} - 13 q^{6} + 3 q^{7} + 2 q^{8} - 217 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 880 q + 4 q^{2} - q^{3} + 24 q^{4} + 22 q^{5} - 13 q^{6} + 3 q^{7} + 2 q^{8} - 217 q^{9} - 6 q^{10} + 5 q^{11} - 5 q^{12} - 26 q^{13} - 108 q^{14} - 12 q^{15} + 34 q^{16} - q^{17} - 14 q^{18} + q^{19} + 19 q^{20} - 10 q^{21} + 275 q^{22} - 51 q^{23} + 283 q^{24} + 22 q^{25} - 16 q^{27} - 4 q^{28} - 19 q^{29} + q^{30} - 34 q^{31} - 122 q^{32} + 19 q^{33} + 52 q^{34} + 8 q^{35} - 21 q^{36} - 109 q^{37} - 10 q^{38} - 9 q^{39} - 64 q^{40} + 4 q^{41} - 49 q^{42} - 97 q^{43} + 17 q^{44} - 80 q^{45} - 91 q^{46} + 166 q^{47} - 159 q^{48} + 175 q^{49} + 4 q^{50} - 112 q^{51} - 128 q^{52} - 141 q^{53} - 37 q^{54} - 5 q^{55} + 79 q^{56} - 204 q^{57} - 190 q^{58} + 9 q^{59} - 22 q^{60} + 2 q^{61} - 105 q^{62} - q^{63} - 176 q^{64} - 14 q^{65} - 112 q^{66} - 13 q^{67} - 35 q^{68} - 53 q^{69} + 24 q^{70} - 50 q^{71} + 705 q^{72} + q^{73} + 40 q^{74} - q^{75} - 148 q^{76} - 104 q^{77} - 187 q^{78} - 83 q^{79} - q^{80} - 238 q^{81} - 54 q^{82} - 151 q^{83} + 4 q^{84} - 29 q^{85} - 39 q^{86} - 74 q^{87} - 143 q^{88} - 52 q^{89} - 28 q^{90} - 188 q^{91} - 253 q^{92} + 122 q^{93} - 187 q^{94} + 122 q^{95} - 155 q^{96} + 283 q^{97} - 92 q^{98} + 172 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).

\(n\) \(122\) \(486\)
\(\chi(n)\) \(1\) \(e\left(\frac{53}{55}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.252480 0.0289694i 0.178531 0.0204845i −0.0242651 0.999706i \(-0.507725\pi\)
0.202796 + 0.979221i \(0.434997\pi\)
\(3\) 2.55133 1.85365i 1.47301 1.07021i 0.493284 0.869868i \(-0.335796\pi\)
0.979727 0.200337i \(-0.0642038\pi\)
\(4\) −1.88512 + 0.438365i −0.942558 + 0.219183i
\(5\) −0.564443 0.825472i −0.252427 0.369162i
\(6\) 0.590461 0.541921i 0.241055 0.221238i
\(7\) −0.840226 + 0.864572i −0.317576 + 0.326778i −0.857059 0.515219i \(-0.827711\pi\)
0.539483 + 0.841997i \(0.318620\pi\)
\(8\) −0.941970 + 0.336094i −0.333037 + 0.118827i
\(9\) 2.14622 6.60538i 0.715406 2.20179i
\(10\) −0.166424 0.192064i −0.0526280 0.0607359i
\(11\) 2.57360 2.09202i 0.775971 0.630768i
\(12\) −3.99698 + 4.61276i −1.15383 + 1.33159i
\(13\) −2.11158 3.50167i −0.585648 0.971188i −0.998184 0.0602467i \(-0.980811\pi\)
0.412535 0.910942i \(-0.364643\pi\)
\(14\) −0.187094 + 0.242628i −0.0500031 + 0.0648451i
\(15\) −2.97022 1.05977i −0.766907 0.273632i
\(16\) 3.24558 1.59575i 0.811396 0.398936i
\(17\) −2.71444 2.21958i −0.658348 0.538328i 0.243762 0.969835i \(-0.421618\pi\)
−0.902110 + 0.431507i \(0.857982\pi\)
\(18\) 0.350524 1.72990i 0.0826192 0.407742i
\(19\) −1.09712 + 0.0627356i −0.251696 + 0.0143925i −0.182482 0.983209i \(-0.558413\pi\)
−0.0692148 + 0.997602i \(0.522049\pi\)
\(20\) 1.42590 + 1.30868i 0.318841 + 0.292629i
\(21\) −0.541080 + 3.76330i −0.118073 + 0.821218i
\(22\) 0.589180 0.602750i 0.125614 0.128507i
\(23\) 0.207803 + 1.44530i 0.0433300 + 0.301367i 0.999950 + 0.0100271i \(0.00319179\pi\)
−0.956620 + 0.291339i \(0.905899\pi\)
\(24\) −1.78028 + 2.60357i −0.363397 + 0.531452i
\(25\) −0.362808 + 0.931864i −0.0725615 + 0.186373i
\(26\) −0.634575 0.822931i −0.124450 0.161390i
\(27\) −3.84479 11.8330i −0.739929 2.27727i
\(28\) 1.20493 1.99815i 0.227710 0.377614i
\(29\) −0.00387771 0.00995983i −0.000720074 0.00184949i 0.931504 0.363732i \(-0.118498\pi\)
−0.932224 + 0.361883i \(0.882134\pi\)
\(30\) −0.780622 0.181526i −0.142521 0.0331419i
\(31\) 7.98936 3.37633i 1.43493 0.606407i 0.473336 0.880882i \(-0.343049\pi\)
0.961594 + 0.274475i \(0.0885040\pi\)
\(32\) 2.45595 1.57834i 0.434155 0.279014i
\(33\) 2.68824 10.1080i 0.467962 1.75958i
\(34\) −0.749642 0.481766i −0.128563 0.0826221i
\(35\) 1.18794 + 0.205581i 0.200799 + 0.0347496i
\(36\) −1.15030 + 13.3927i −0.191717 + 2.23212i
\(37\) 0.718138 + 8.36112i 0.118061 + 1.37456i 0.780365 + 0.625325i \(0.215033\pi\)
−0.662304 + 0.749236i \(0.730421\pi\)
\(38\) −0.275184 + 0.0476224i −0.0446407 + 0.00772537i
\(39\) −11.8782 5.01978i −1.90204 0.803808i
\(40\) 0.809125 + 0.587864i 0.127934 + 0.0929494i
\(41\) −10.0229 5.66019i −1.56531 0.883973i −0.998177 0.0603486i \(-0.980779\pi\)
−0.567136 0.823624i \(-0.691949\pi\)
\(42\) −0.0275916 + 0.965833i −0.00425748 + 0.149031i
\(43\) 8.91576 + 2.61790i 1.35964 + 0.399227i 0.878636 0.477491i \(-0.158454\pi\)
0.481005 + 0.876718i \(0.340272\pi\)
\(44\) −3.93448 + 5.07189i −0.593145 + 0.764615i
\(45\) −6.66397 + 1.95672i −0.993406 + 0.291690i
\(46\) 0.0943358 + 0.358891i 0.0139091 + 0.0529155i
\(47\) 0.789344 + 3.89556i 0.115138 + 0.568226i 0.995567 + 0.0940501i \(0.0299814\pi\)
−0.880430 + 0.474176i \(0.842746\pi\)
\(48\) 5.32260 10.0875i 0.768251 1.45600i
\(49\) 0.158387 + 5.54427i 0.0226267 + 0.792039i
\(50\) −0.0646062 + 0.245788i −0.00913670 + 0.0347596i
\(51\) −11.0398 0.631276i −1.54588 0.0883964i
\(52\) 5.51559 + 5.67541i 0.764875 + 0.787038i
\(53\) 6.26080 + 3.07823i 0.859987 + 0.422827i 0.817267 0.576260i \(-0.195488\pi\)
0.0427208 + 0.999087i \(0.486397\pi\)
\(54\) −1.31353 2.87623i −0.178749 0.391405i
\(55\) −3.17956 0.943611i −0.428732 0.127236i
\(56\) 0.500890 1.09680i 0.0669343 0.146566i
\(57\) −2.68282 + 2.19373i −0.355349 + 0.290567i
\(58\) −0.00126758 0.00240233i −0.000166441 0.000315441i
\(59\) 10.9463 6.18166i 1.42509 0.804783i 0.429908 0.902873i \(-0.358546\pi\)
0.995178 + 0.0980895i \(0.0312731\pi\)
\(60\) 6.06377 + 0.695753i 0.782830 + 0.0898213i
\(61\) −8.31385 0.953925i −1.06448 0.122138i −0.435987 0.899953i \(-0.643600\pi\)
−0.628493 + 0.777816i \(0.716328\pi\)
\(62\) 1.91934 1.08390i 0.243757 0.137656i
\(63\) 3.90752 + 7.40557i 0.492301 + 0.933015i
\(64\) −5.02526 + 4.10913i −0.628157 + 0.513641i
\(65\) −1.69866 + 3.71955i −0.210693 + 0.461353i
\(66\) 0.385904 2.62995i 0.0475016 0.323724i
\(67\) 0.706270 + 1.54652i 0.0862847 + 0.188937i 0.947856 0.318700i \(-0.103246\pi\)
−0.861571 + 0.507637i \(0.830519\pi\)
\(68\) 6.09002 + 2.99426i 0.738523 + 0.363107i
\(69\) 3.20926 + 3.30225i 0.386350 + 0.397544i
\(70\) 0.305887 + 0.0174913i 0.0365605 + 0.00209060i
\(71\) −0.458338 + 1.74370i −0.0543948 + 0.206939i −0.988793 0.149290i \(-0.952301\pi\)
0.934399 + 0.356229i \(0.115938\pi\)
\(72\) 0.198357 + 6.94340i 0.0233766 + 0.818288i
\(73\) −3.11500 + 5.90358i −0.364583 + 0.690962i −0.996456 0.0841099i \(-0.973195\pi\)
0.631873 + 0.775072i \(0.282286\pi\)
\(74\) 0.423532 + 2.09021i 0.0492346 + 0.242983i
\(75\) 0.801708 + 3.05001i 0.0925732 + 0.352185i
\(76\) 2.04070 0.599203i 0.234084 0.0687333i
\(77\) −0.353706 + 3.98284i −0.0403085 + 0.453887i
\(78\) −3.14444 0.923290i −0.356037 0.104542i
\(79\) −0.247313 + 8.65709i −0.0278249 + 0.973999i 0.859023 + 0.511937i \(0.171072\pi\)
−0.886848 + 0.462062i \(0.847110\pi\)
\(80\) −3.14919 1.77843i −0.352090 0.198835i
\(81\) −14.8870 10.8160i −1.65411 1.20178i
\(82\) −2.69456 1.13873i −0.297564 0.125752i
\(83\) 6.51277 1.12708i 0.714869 0.123713i 0.198527 0.980095i \(-0.436384\pi\)
0.516342 + 0.856382i \(0.327293\pi\)
\(84\) −0.629698 7.33144i −0.0687057 0.799926i
\(85\) −0.300059 + 3.49352i −0.0325459 + 0.378926i
\(86\) 2.32689 + 0.402685i 0.250915 + 0.0434226i
\(87\) −0.0283554 0.0182229i −0.00304001 0.00195370i
\(88\) −1.72114 + 2.83560i −0.183474 + 0.302276i
\(89\) −2.44602 + 1.57196i −0.259277 + 0.166627i −0.663822 0.747891i \(-0.731067\pi\)
0.404544 + 0.914518i \(0.367430\pi\)
\(90\) −1.62584 + 0.687084i −0.171378 + 0.0724250i
\(91\) 4.80165 + 1.11658i 0.503350 + 0.117049i
\(92\) −1.02530 2.63347i −0.106895 0.274558i
\(93\) 14.1250 23.4236i 1.46469 2.42891i
\(94\) 0.312146 + 0.960686i 0.0321954 + 0.0990872i
\(95\) 0.671048 + 0.870230i 0.0688481 + 0.0892838i
\(96\) 3.34024 8.57935i 0.340912 0.875626i
\(97\) 1.94269 2.84110i 0.197251 0.288470i −0.714148 0.699995i \(-0.753186\pi\)
0.911398 + 0.411525i \(0.135004\pi\)
\(98\) 0.200604 + 1.39523i 0.0202641 + 0.140940i
\(99\) −8.29508 21.4896i −0.833687 2.15978i
\(100\) 0.275438 1.91571i 0.0275438 0.191571i
\(101\) 10.3937 + 9.53929i 1.03422 + 0.949195i 0.998740 0.0501758i \(-0.0159781\pi\)
0.0354755 + 0.999371i \(0.488705\pi\)
\(102\) −2.80561 + 0.160431i −0.277797 + 0.0158850i
\(103\) 1.09425 5.40035i 0.107820 0.532112i −0.889369 0.457189i \(-0.848856\pi\)
0.997189 0.0749228i \(-0.0238710\pi\)
\(104\) 3.16594 + 2.58878i 0.310446 + 0.253850i
\(105\) 3.41190 1.67752i 0.332968 0.163709i
\(106\) 1.66990 + 0.595820i 0.162195 + 0.0578712i
\(107\) 9.48984 12.3066i 0.917417 1.18973i −0.0640208 0.997949i \(-0.520392\pi\)
0.981438 0.191779i \(-0.0614258\pi\)
\(108\) 12.4351 + 20.6212i 1.19656 + 1.98428i
\(109\) 9.98758 11.5263i 0.956636 1.10402i −0.0378638 0.999283i \(-0.512055\pi\)
0.994500 0.104734i \(-0.0333992\pi\)
\(110\) −0.830112 0.146133i −0.0791481 0.0139332i
\(111\) 17.3308 + 20.0008i 1.64497 + 1.89839i
\(112\) −1.34739 + 4.14683i −0.127316 + 0.391839i
\(113\) 8.92987 3.18617i 0.840051 0.299730i 0.119244 0.992865i \(-0.461953\pi\)
0.720807 + 0.693135i \(0.243771\pi\)
\(114\) −0.613809 + 0.631595i −0.0574885 + 0.0591542i
\(115\) 1.07576 0.987327i 0.100316 0.0920687i
\(116\) 0.0116760 + 0.0170756i 0.00108409 + 0.00158543i
\(117\) −27.6618 + 6.43247i −2.55733 + 0.594682i
\(118\) 2.58464 1.87785i 0.237936 0.172870i
\(119\) 4.19973 0.481874i 0.384989 0.0441734i
\(120\) 3.15404 0.287923
\(121\) 2.24689 10.7681i 0.204262 0.978916i
\(122\) −2.12672 −0.192544
\(123\) −36.0637 + 4.13793i −3.25176 + 0.373104i
\(124\) −13.5808 + 9.86703i −1.21959 + 0.886086i
\(125\) 0.974012 0.226497i 0.0871183 0.0202585i
\(126\) 1.20111 + 1.75656i 0.107003 + 0.156487i
\(127\) −1.08824 + 0.998777i −0.0965656 + 0.0886271i −0.723004 0.690844i \(-0.757239\pi\)
0.626438 + 0.779471i \(0.284512\pi\)
\(128\) −5.21901 + 5.37023i −0.461300 + 0.474666i
\(129\) 27.5997 9.84757i 2.43002 0.867030i
\(130\) −0.321125 + 0.988321i −0.0281645 + 0.0866815i
\(131\) −8.58292 9.90521i −0.749893 0.865422i 0.244665 0.969608i \(-0.421322\pi\)
−0.994558 + 0.104185i \(0.966777\pi\)
\(132\) −0.636649 + 20.2332i −0.0554132 + 1.76107i
\(133\) 0.867589 1.00125i 0.0752295 0.0868195i
\(134\) 0.223121 + 0.370005i 0.0192747 + 0.0319635i
\(135\) −7.59767 + 9.85284i −0.653904 + 0.847997i
\(136\) 3.30291 + 1.17848i 0.283222 + 0.101053i
\(137\) −8.49805 + 4.17821i −0.726038 + 0.356969i −0.766528 0.642211i \(-0.778017\pi\)
0.0404901 + 0.999180i \(0.487108\pi\)
\(138\) 0.905939 + 0.740783i 0.0771187 + 0.0630596i
\(139\) 1.17535 5.80059i 0.0996921 0.492000i −0.898861 0.438233i \(-0.855605\pi\)
0.998554 0.0537668i \(-0.0171228\pi\)
\(140\) −2.32953 + 0.133207i −0.196881 + 0.0112581i
\(141\) 9.23489 + 8.47571i 0.777718 + 0.713783i
\(142\) −0.0652074 + 0.453528i −0.00547209 + 0.0380592i
\(143\) −12.7600 4.59443i −1.06704 0.384206i
\(144\) −3.57478 24.8631i −0.297898 2.07193i
\(145\) −0.00603281 + 0.00882270i −0.000500998 + 0.000732686i
\(146\) −0.615452 + 1.58078i −0.0509352 + 0.130826i
\(147\) 10.6812 + 13.8517i 0.880974 + 1.14247i
\(148\) −5.01900 15.4469i −0.412559 1.26973i
\(149\) −5.77678 + 9.57971i −0.473252 + 0.784800i −0.997780 0.0665929i \(-0.978787\pi\)
0.524528 + 0.851393i \(0.324242\pi\)
\(150\) 0.290772 + 0.746843i 0.0237415 + 0.0609795i
\(151\) −5.90440 1.37301i −0.480493 0.111734i −0.0207480 0.999785i \(-0.506605\pi\)
−0.459745 + 0.888051i \(0.652059\pi\)
\(152\) 1.01237 0.427831i 0.0821139 0.0347016i
\(153\) −20.4870 + 13.1662i −1.65627 + 1.06442i
\(154\) 0.0260768 + 1.01584i 0.00210133 + 0.0818583i
\(155\) −7.29660 4.68924i −0.586077 0.376649i
\(156\) 24.5923 + 4.25587i 1.96896 + 0.340742i
\(157\) 0.00346003 0.0402843i 0.000276140 0.00321504i −0.996192 0.0871824i \(-0.972214\pi\)
0.996469 + 0.0839674i \(0.0267592\pi\)
\(158\) 0.188349 + 2.19291i 0.0149843 + 0.174458i
\(159\) 21.6793 3.75176i 1.71928 0.297534i
\(160\) −2.68912 1.13643i −0.212594 0.0898429i
\(161\) −1.42417 1.03472i −0.112240 0.0815474i
\(162\) −4.07201 2.29957i −0.319927 0.180671i
\(163\) −0.626828 + 21.9418i −0.0490970 + 1.71862i 0.486110 + 0.873897i \(0.338415\pi\)
−0.535207 + 0.844721i \(0.679766\pi\)
\(164\) 21.3756 + 6.27643i 1.66915 + 0.490107i
\(165\) −9.86123 + 3.48633i −0.767696 + 0.271410i
\(166\) 1.61169 0.473236i 0.125092 0.0367303i
\(167\) 5.99911 + 22.8230i 0.464225 + 1.76610i 0.626574 + 0.779362i \(0.284457\pi\)
−0.162349 + 0.986733i \(0.551907\pi\)
\(168\) −0.755141 3.72677i −0.0582604 0.287526i
\(169\) −1.73622 + 3.29051i −0.133556 + 0.253116i
\(170\) 0.0254463 + 0.890738i 0.00195164 + 0.0683165i
\(171\) −1.94026 + 7.38153i −0.148376 + 0.564480i
\(172\) −17.9549 1.02670i −1.36904 0.0782848i
\(173\) 6.77098 + 6.96717i 0.514788 + 0.529704i 0.923826 0.382813i \(-0.125045\pi\)
−0.409038 + 0.912517i \(0.634136\pi\)
\(174\) −0.00768708 0.00377948i −0.000582756 0.000286522i
\(175\) −0.500823 1.09665i −0.0378587 0.0828990i
\(176\) 5.01451 10.8967i 0.377983 0.821366i
\(177\) 16.4690 36.0620i 1.23788 2.71059i
\(178\) −0.572032 + 0.467749i −0.0428756 + 0.0350592i
\(179\) 1.98020 + 3.75290i 0.148007 + 0.280505i 0.947245 0.320510i \(-0.103854\pi\)
−0.799238 + 0.601015i \(0.794763\pi\)
\(180\) 11.7046 6.60990i 0.872410 0.492673i
\(181\) −15.7739 1.80989i −1.17247 0.134528i −0.494203 0.869346i \(-0.664540\pi\)
−0.678264 + 0.734818i \(0.737267\pi\)
\(182\) 1.24467 + 0.142813i 0.0922611 + 0.0105860i
\(183\) −22.9796 + 12.9772i −1.69870 + 0.959301i
\(184\) −0.681503 1.29159i −0.0502410 0.0952173i
\(185\) 6.49652 5.31218i 0.477634 0.390559i
\(186\) 2.88770 6.32319i 0.211737 0.463639i
\(187\) −11.6293 0.0336699i −0.850419 0.00246218i
\(188\) −3.19568 6.99757i −0.233069 0.510350i
\(189\) 13.4610 + 6.61833i 0.979144 + 0.481413i
\(190\) 0.194636 + 0.200276i 0.0141204 + 0.0145296i
\(191\) 4.03025 + 0.230458i 0.291618 + 0.0166753i 0.202286 0.979327i \(-0.435163\pi\)
0.0893325 + 0.996002i \(0.471527\pi\)
\(192\) −5.20420 + 19.7988i −0.375581 + 1.42886i
\(193\) −0.0895320 3.13403i −0.00644465 0.225592i −0.996430 0.0844225i \(-0.973095\pi\)
0.989985 0.141170i \(-0.0450864\pi\)
\(194\) 0.408187 0.773600i 0.0293061 0.0555412i
\(195\) 2.56090 + 12.6385i 0.183390 + 0.905063i
\(196\) −2.72899 10.3822i −0.194928 0.741584i
\(197\) 19.7096 5.78727i 1.40425 0.412326i 0.510111 0.860109i \(-0.329604\pi\)
0.894142 + 0.447783i \(0.147786\pi\)
\(198\) −2.71689 5.18539i −0.193081 0.368510i
\(199\) 9.17634 + 2.69442i 0.650493 + 0.191002i 0.590299 0.807185i \(-0.299010\pi\)
0.0601943 + 0.998187i \(0.480828\pi\)
\(200\) 0.0285599 0.999726i 0.00201949 0.0706913i
\(201\) 4.66863 + 2.63650i 0.329300 + 0.185964i
\(202\) 2.90056 + 2.10738i 0.204083 + 0.148275i
\(203\) 0.0118692 + 0.00501594i 0.000833051 + 0.000352050i
\(204\) 21.0880 3.64942i 1.47645 0.255510i
\(205\) 0.985028 + 11.4685i 0.0687973 + 0.800993i
\(206\) 0.119832 1.39518i 0.00834910 0.0972068i
\(207\) 9.99277 + 1.72932i 0.694545 + 0.120196i
\(208\) −12.4411 7.99541i −0.862635 0.554382i
\(209\) −2.69231 + 2.45665i −0.186231 + 0.169930i
\(210\) 0.812842 0.522382i 0.0560914 0.0360478i
\(211\) −23.9440 + 10.1188i −1.64837 + 0.696609i −0.998012 0.0630166i \(-0.979928\pi\)
−0.650361 + 0.759625i \(0.725382\pi\)
\(212\) −13.1517 3.05830i −0.903265 0.210045i
\(213\) 2.06284 + 5.29836i 0.141343 + 0.363037i
\(214\) 2.03948 3.38210i 0.139416 0.231196i
\(215\) −2.87144 8.83737i −0.195830 0.602704i
\(216\) 7.59869 + 9.85416i 0.517025 + 0.670490i
\(217\) −3.79378 + 9.74426i −0.257539 + 0.661483i
\(218\) 2.18776 3.19949i 0.148174 0.216697i
\(219\) 2.99578 + 20.8361i 0.202436 + 1.40797i
\(220\) 6.40749 + 0.385008i 0.431993 + 0.0259573i
\(221\) −2.04049 + 14.1919i −0.137258 + 0.954650i
\(222\) 4.95510 + 4.54775i 0.332564 + 0.305225i
\(223\) −26.2686 + 1.50209i −1.75907 + 0.100587i −0.906549 0.422101i \(-0.861293\pi\)
−0.852524 + 0.522688i \(0.824929\pi\)
\(224\) −0.698962 + 3.44951i −0.0467013 + 0.230480i
\(225\) 5.37665 + 4.39647i 0.358443 + 0.293098i
\(226\) 2.16231 1.06314i 0.143835 0.0707189i
\(227\) −0.163054 0.0581776i −0.0108223 0.00386138i 0.330633 0.943760i \(-0.392738\pi\)
−0.341455 + 0.939898i \(0.610920\pi\)
\(228\) 4.09578 5.31150i 0.271250 0.351763i
\(229\) −10.0663 16.6930i −0.665198 1.10311i −0.987673 0.156530i \(-0.949969\pi\)
0.322475 0.946578i \(-0.395485\pi\)
\(230\) 0.243007 0.280445i 0.0160234 0.0184920i
\(231\) 6.48037 + 10.8172i 0.426377 + 0.711719i
\(232\) 0.00700013 + 0.00807858i 0.000459581 + 0.000530385i
\(233\) 2.40649 7.40640i 0.157654 0.485210i −0.840766 0.541399i \(-0.817895\pi\)
0.998420 + 0.0561891i \(0.0178950\pi\)
\(234\) −6.79771 + 2.42542i −0.444380 + 0.158554i
\(235\) 2.77014 2.85041i 0.180704 0.185940i
\(236\) −17.9252 + 16.4516i −1.16683 + 1.07091i
\(237\) 15.4162 + 22.5455i 1.00139 + 1.46449i
\(238\) 1.04639 0.243328i 0.0678274 0.0157726i
\(239\) −7.79065 + 5.66024i −0.503935 + 0.366130i −0.810518 0.585714i \(-0.800814\pi\)
0.306583 + 0.951844i \(0.400814\pi\)
\(240\) −11.3312 + 1.30014i −0.731427 + 0.0839234i
\(241\) −2.70065 −0.173964 −0.0869821 0.996210i \(-0.527722\pi\)
−0.0869821 + 0.996210i \(0.527722\pi\)
\(242\) 0.255349 2.78382i 0.0164145 0.178951i
\(243\) −20.7049 −1.32822
\(244\) 16.0907 1.84624i 1.03010 0.118193i
\(245\) 4.48724 3.26017i 0.286679 0.208285i
\(246\) −8.98551 + 2.08949i −0.572895 + 0.133221i
\(247\) 2.53634 + 3.70928i 0.161383 + 0.236016i
\(248\) −6.39097 + 5.86558i −0.405827 + 0.372465i
\(249\) 14.5270 14.9479i 0.920612 0.947287i
\(250\) 0.239357 0.0854025i 0.0151383 0.00540133i
\(251\) 6.06797 18.6753i 0.383007 1.17877i −0.554909 0.831911i \(-0.687247\pi\)
0.937916 0.346863i \(-0.112753\pi\)
\(252\) −10.6125 12.2474i −0.668523 0.771517i
\(253\) 3.55841 + 3.28491i 0.223715 + 0.206521i
\(254\) −0.245825 + 0.283697i −0.0154244 + 0.0178007i
\(255\) 5.71022 + 9.46933i 0.357588 + 0.592992i
\(256\) 6.76578 8.77403i 0.422862 0.548377i
\(257\) −23.7399 8.47039i −1.48086 0.528368i −0.532736 0.846281i \(-0.678836\pi\)
−0.948120 + 0.317913i \(0.897018\pi\)
\(258\) 6.68311 3.28586i 0.416072 0.204569i
\(259\) −7.83219 6.40435i −0.486669 0.397947i
\(260\) 1.57165 7.75641i 0.0974698 0.481032i
\(261\) −0.0741109 + 0.00423781i −0.00458735 + 0.000262314i
\(262\) −2.45396 2.25223i −0.151606 0.139143i
\(263\) −3.22854 + 22.4550i −0.199080 + 1.38463i 0.607880 + 0.794029i \(0.292020\pi\)
−0.806960 + 0.590606i \(0.798889\pi\)
\(264\) 0.865001 + 10.4249i 0.0532371 + 0.641611i
\(265\) −0.992876 6.90560i −0.0609919 0.424208i
\(266\) 0.190043 0.277930i 0.0116523 0.0170410i
\(267\) −3.32674 + 8.54465i −0.203593 + 0.522924i
\(268\) −2.00934 2.60576i −0.122740 0.159172i
\(269\) −1.26086 3.88053i −0.0768760 0.236600i 0.905232 0.424917i \(-0.139697\pi\)
−0.982108 + 0.188317i \(0.939697\pi\)
\(270\) −1.63283 + 2.70775i −0.0993710 + 0.164788i
\(271\) −5.78089 14.8481i −0.351164 0.901958i −0.991050 0.133488i \(-0.957382\pi\)
0.639886 0.768470i \(-0.278981\pi\)
\(272\) −12.3518 2.87229i −0.748939 0.174158i
\(273\) 14.3204 6.05183i 0.866707 0.366273i
\(274\) −2.02455 + 1.30110i −0.122308 + 0.0786023i
\(275\) 1.01576 + 3.15725i 0.0612524 + 0.190389i
\(276\) −7.49742 4.81830i −0.451292 0.290028i
\(277\) 14.3871 + 2.48979i 0.864439 + 0.149597i 0.585461 0.810701i \(-0.300914\pi\)
0.278978 + 0.960298i \(0.410004\pi\)
\(278\) 0.128714 1.49858i 0.00771972 0.0898791i
\(279\) −5.15504 60.0191i −0.308624 3.59325i
\(280\) −1.18810 + 0.205609i −0.0710025 + 0.0122875i
\(281\) −2.42955 1.02674i −0.144935 0.0612501i 0.315596 0.948894i \(-0.397796\pi\)
−0.460531 + 0.887644i \(0.652341\pi\)
\(282\) 2.57716 + 1.87242i 0.153468 + 0.111501i
\(283\) −12.0983 6.83223i −0.719170 0.406134i 0.0882600 0.996097i \(-0.471869\pi\)
−0.807430 + 0.589964i \(0.799142\pi\)
\(284\) 0.0996441 3.48800i 0.00591279 0.206975i
\(285\) 3.32517 + 0.976357i 0.196966 + 0.0578344i
\(286\) −3.35473 0.790355i −0.198370 0.0467347i
\(287\) 13.3151 3.90968i 0.785968 0.230781i
\(288\) −5.15455 19.6099i −0.303735 1.15553i
\(289\) −0.934423 4.61156i −0.0549661 0.271268i
\(290\) −0.00126758 + 0.00240233i −7.44347e−5 + 0.000141069i
\(291\) −0.309950 10.8497i −0.0181696 0.636018i
\(292\) 3.28421 12.4944i 0.192194 0.731182i
\(293\) 17.5852 + 1.00556i 1.02734 + 0.0587454i 0.562622 0.826714i \(-0.309793\pi\)
0.464717 + 0.885459i \(0.346156\pi\)
\(294\) 3.09808 + 3.18785i 0.180684 + 0.185919i
\(295\) −11.2813 5.54666i −0.656825 0.322939i
\(296\) −3.48659 7.63457i −0.202654 0.443750i
\(297\) −34.6499 22.4102i −2.01059 1.30037i
\(298\) −1.18100 + 2.58604i −0.0684137 + 0.149805i
\(299\) 4.62218 3.77954i 0.267308 0.218576i
\(300\) −2.84833 5.39819i −0.164448 0.311665i
\(301\) −9.75463 + 5.50869i −0.562247 + 0.317516i
\(302\) −1.53052 0.175611i −0.0880715 0.0101053i
\(303\) 44.2004 + 5.07152i 2.53925 + 0.291351i
\(304\) −3.46068 + 1.95434i −0.198484 + 0.112089i
\(305\) 3.90526 + 7.40128i 0.223614 + 0.423796i
\(306\) −4.79114 + 3.91769i −0.273891 + 0.223960i
\(307\) −13.1011 + 28.6873i −0.747716 + 1.63727i 0.0227102 + 0.999742i \(0.492770\pi\)
−0.770427 + 0.637529i \(0.779957\pi\)
\(308\) −1.07916 7.66317i −0.0614909 0.436650i
\(309\) −7.21855 15.8064i −0.410649 0.899196i
\(310\) −1.97809 0.972563i −0.112348 0.0552379i
\(311\) −9.65147 9.93113i −0.547285 0.563143i 0.385900 0.922541i \(-0.373891\pi\)
−0.933184 + 0.359398i \(0.882982\pi\)
\(312\) 12.8760 + 0.736279i 0.728963 + 0.0416836i
\(313\) 3.84865 14.6418i 0.217538 0.827602i −0.765383 0.643575i \(-0.777450\pi\)
0.982921 0.184027i \(-0.0589133\pi\)
\(314\) −0.000293426 0.0102712i −1.65590e−5 0.000579639i
\(315\) 3.90752 7.40557i 0.220164 0.417257i
\(316\) −3.32875 16.4280i −0.187257 0.924150i
\(317\) −3.85870 14.6800i −0.216726 0.824512i −0.983245 0.182290i \(-0.941649\pi\)
0.766519 0.642222i \(-0.221987\pi\)
\(318\) 5.36492 1.57528i 0.300850 0.0883375i
\(319\) −0.0308159 0.0175204i −0.00172536 0.000980954i
\(320\) 6.22844 + 1.82884i 0.348181 + 0.102235i
\(321\) 1.39951 48.9891i 0.0781129 2.73431i
\(322\) −0.389550 0.219989i −0.0217088 0.0122595i
\(323\) 3.11731 + 2.26486i 0.173452 + 0.126020i
\(324\) 32.8051 + 13.8636i 1.82251 + 0.770198i
\(325\) 4.02918 0.697277i 0.223499 0.0386780i
\(326\) 0.477381 + 5.55804i 0.0264397 + 0.307832i
\(327\) 4.11592 47.9208i 0.227611 2.65003i
\(328\) 11.3436 + 1.96309i 0.626347 + 0.108394i
\(329\) −4.03122 2.59071i −0.222249 0.142830i
\(330\) −2.38877 + 1.16590i −0.131497 + 0.0641809i
\(331\) 17.1069 10.9939i 0.940280 0.604281i 0.0218055 0.999762i \(-0.493059\pi\)
0.918474 + 0.395481i \(0.129422\pi\)
\(332\) −11.7833 + 4.97965i −0.646690 + 0.273294i
\(333\) 56.7697 + 13.2012i 3.11096 + 0.723422i
\(334\) 2.17583 + 5.58856i 0.119056 + 0.305792i
\(335\) 0.877956 1.45593i 0.0479679 0.0795458i
\(336\) 4.24914 + 13.0775i 0.231810 + 0.713437i
\(337\) 1.74467 + 2.26252i 0.0950380 + 0.123247i 0.837020 0.547172i \(-0.184296\pi\)
−0.741982 + 0.670420i \(0.766114\pi\)
\(338\) −0.343038 + 0.881086i −0.0186588 + 0.0479248i
\(339\) 16.8770 24.6818i 0.916633 1.34053i
\(340\) −0.965792 6.71723i −0.0523774 0.364293i
\(341\) 13.4981 25.4033i 0.730962 1.37566i
\(342\) −0.276040 + 1.91990i −0.0149265 + 0.103816i
\(343\) −11.1440 10.2279i −0.601719 0.552253i
\(344\) −9.27825 + 0.530549i −0.500250 + 0.0286053i
\(345\) 0.914470 4.51309i 0.0492334 0.242976i
\(346\) 1.91137 + 1.56292i 0.102756 + 0.0840232i
\(347\) −10.2667 + 5.04781i −0.551147 + 0.270981i −0.695476 0.718549i \(-0.744807\pi\)
0.144330 + 0.989530i \(0.453897\pi\)
\(348\) 0.0614415 + 0.0219223i 0.00329361 + 0.00117516i
\(349\) −16.8338 + 21.8304i −0.901091 + 1.16856i 0.0839905 + 0.996467i \(0.473233\pi\)
−0.985081 + 0.172089i \(0.944948\pi\)
\(350\) −0.158217 0.262374i −0.00845707 0.0140245i
\(351\) −33.3168 + 38.4496i −1.77832 + 2.05229i
\(352\) 3.01872 9.19993i 0.160898 0.490358i
\(353\) 12.8102 + 14.7837i 0.681816 + 0.786858i 0.986176 0.165699i \(-0.0529880\pi\)
−0.304360 + 0.952557i \(0.598443\pi\)
\(354\) 3.11340 9.58205i 0.165475 0.509280i
\(355\) 1.69808 0.605874i 0.0901248 0.0321565i
\(356\) 3.92194 4.03558i 0.207862 0.213885i
\(357\) 9.82168 9.01426i 0.519818 0.477085i
\(358\) 0.608681 + 0.890168i 0.0321698 + 0.0470468i
\(359\) 36.7248 8.53999i 1.93826 0.450723i 0.946484 0.322751i \(-0.104608\pi\)
0.991778 0.127973i \(-0.0408470\pi\)
\(360\) 5.61962 4.08289i 0.296180 0.215187i
\(361\) −17.6764 + 2.02818i −0.930338 + 0.106746i
\(362\) −4.03504 −0.212077
\(363\) −14.2277 31.6379i −0.746761 1.66056i
\(364\) −9.54115 −0.500092
\(365\) 6.63148 0.760891i 0.347107 0.0398269i
\(366\) −5.42596 + 3.94219i −0.283619 + 0.206062i
\(367\) −25.7093 + 5.97844i −1.34201 + 0.312072i −0.835182 0.549973i \(-0.814638\pi\)
−0.506832 + 0.862045i \(0.669183\pi\)
\(368\) 2.98078 + 4.35925i 0.155384 + 0.227242i
\(369\) −58.8990 + 54.0570i −3.06616 + 2.81410i
\(370\) 1.48635 1.52942i 0.0772718 0.0795108i
\(371\) −7.92184 + 2.82651i −0.411282 + 0.146745i
\(372\) −16.3591 + 50.3481i −0.848180 + 2.61043i
\(373\) −7.94757 9.17198i −0.411510 0.474907i 0.511722 0.859151i \(-0.329008\pi\)
−0.923232 + 0.384244i \(0.874462\pi\)
\(374\) −2.93715 + 0.328393i −0.151876 + 0.0169808i
\(375\) 2.06518 2.38335i 0.106645 0.123075i
\(376\) −2.05282 3.40421i −0.105866 0.175559i
\(377\) −0.0266879 + 0.0346095i −0.00137450 + 0.00178248i
\(378\) 3.59037 + 1.28104i 0.184669 + 0.0658896i
\(379\) −19.9553 + 9.81135i −1.02503 + 0.503975i −0.874702 0.484661i \(-0.838943\pi\)
−0.150331 + 0.988636i \(0.548034\pi\)
\(380\) −1.64648 1.34632i −0.0844628 0.0690649i
\(381\) −0.925075 + 4.56543i −0.0473930 + 0.233894i
\(382\) 1.02423 0.0585678i 0.0524044 0.00299659i
\(383\) 6.35430 + 5.83192i 0.324690 + 0.297997i 0.821899 0.569633i \(-0.192915\pi\)
−0.497210 + 0.867631i \(0.665642\pi\)
\(384\) −3.36088 + 23.3755i −0.171509 + 1.19287i
\(385\) 3.48737 1.95611i 0.177733 0.0996927i
\(386\) −0.113396 0.788687i −0.00577170 0.0401431i
\(387\) 36.4274 53.2734i 1.85171 2.70804i
\(388\) −2.41677 + 6.20741i −0.122693 + 0.315134i
\(389\) −0.753438 0.977075i −0.0382008 0.0495397i 0.772414 0.635119i \(-0.219049\pi\)
−0.810615 + 0.585579i \(0.800867\pi\)
\(390\) 1.01271 + 3.11679i 0.0512804 + 0.157825i
\(391\) 2.64390 4.38442i 0.133708 0.221730i
\(392\) −2.01259 5.16931i −0.101651 0.261089i
\(393\) −40.2587 9.36175i −2.03078 0.472238i
\(394\) 4.80864 2.03215i 0.242256 0.102378i
\(395\) 7.28578 4.68229i 0.366587 0.235591i
\(396\) 25.0575 + 36.8741i 1.25919 + 1.85299i
\(397\) 12.3316 + 7.92501i 0.618903 + 0.397745i 0.812186 0.583398i \(-0.198277\pi\)
−0.193283 + 0.981143i \(0.561914\pi\)
\(398\) 2.39490 + 0.414454i 0.120045 + 0.0207747i
\(399\) 0.357537 4.16273i 0.0178992 0.208397i
\(400\) 0.309496 + 3.60339i 0.0154748 + 0.180170i
\(401\) 31.3110 5.41857i 1.56359 0.270591i 0.678004 0.735058i \(-0.262845\pi\)
0.885590 + 0.464467i \(0.153754\pi\)
\(402\) 1.25511 + 0.530416i 0.0625994 + 0.0264547i
\(403\) −28.6930 20.8467i −1.42930 1.03845i
\(404\) −23.7751 13.4264i −1.18286 0.667989i
\(405\) −0.525470 + 18.3939i −0.0261108 + 0.913998i
\(406\) 0.00314204 0.000922585i 0.000155937 4.57871e-5i
\(407\) 19.3399 + 20.0159i 0.958641 + 0.992150i
\(408\) 10.6113 3.11576i 0.525337 0.154253i
\(409\) 4.27558 + 16.2660i 0.211414 + 0.804301i 0.985279 + 0.170951i \(0.0546841\pi\)
−0.773866 + 0.633350i \(0.781680\pi\)
\(410\) 0.580935 + 2.86703i 0.0286903 + 0.141592i
\(411\) −13.9364 + 26.4124i −0.687432 + 1.30283i
\(412\) 0.304531 + 10.6600i 0.0150032 + 0.525179i
\(413\) −3.85287 + 14.6579i −0.189588 + 0.721266i
\(414\) 2.57307 + 0.147134i 0.126460 + 0.00723122i
\(415\) −4.60646 4.73993i −0.226122 0.232674i
\(416\) −10.7128 5.26712i −0.525237 0.258242i
\(417\) −7.75356 16.9779i −0.379693 0.831412i
\(418\) −0.608587 + 0.698251i −0.0297669 + 0.0341526i
\(419\) 5.65924 12.3920i 0.276472 0.605389i −0.719556 0.694435i \(-0.755654\pi\)
0.996028 + 0.0890457i \(0.0283817\pi\)
\(420\) −5.69647 + 4.65798i −0.277959 + 0.227286i
\(421\) 14.8388 + 28.1226i 0.723199 + 1.37061i 0.920684 + 0.390308i \(0.127632\pi\)
−0.197486 + 0.980306i \(0.563278\pi\)
\(422\) −5.75225 + 3.24845i −0.280015 + 0.158132i
\(423\) 27.4258 + 3.14682i 1.33349 + 0.153003i
\(424\) −6.93207 0.795380i −0.336651 0.0386271i
\(425\) 3.05317 1.72420i 0.148100 0.0836362i
\(426\) 0.674316 + 1.27797i 0.0326707 + 0.0619179i
\(427\) 7.81025 6.38641i 0.377964 0.309060i
\(428\) −12.4947 + 27.3595i −0.603952 + 1.32247i
\(429\) −41.0713 + 11.9306i −1.98294 + 0.576014i
\(430\) −0.980994 2.14808i −0.0473077 0.103590i
\(431\) 14.7857 + 7.26964i 0.712202 + 0.350166i 0.761097 0.648638i \(-0.224661\pi\)
−0.0488952 + 0.998804i \(0.515570\pi\)
\(432\) −31.3611 32.2698i −1.50886 1.55258i
\(433\) 3.95569 + 0.226195i 0.190099 + 0.0108702i 0.151879 0.988399i \(-0.451468\pi\)
0.0382198 + 0.999269i \(0.487831\pi\)
\(434\) −0.675570 + 2.57014i −0.0324284 + 0.123370i
\(435\) 0.000962513 0.0336923i 4.61490e−5 0.00161542i
\(436\) −13.7750 + 26.1066i −0.659704 + 1.25028i
\(437\) −0.318657 1.57263i −0.0152434 0.0752292i
\(438\) 1.35998 + 5.17392i 0.0649826 + 0.247219i
\(439\) 19.8325 5.82336i 0.946555 0.277934i 0.228203 0.973614i \(-0.426715\pi\)
0.718352 + 0.695680i \(0.244897\pi\)
\(440\) 3.31219 0.179779i 0.157903 0.00857061i
\(441\) 36.9620 + 10.8530i 1.76009 + 0.516810i
\(442\) −0.104052 + 3.64229i −0.00494924 + 0.173246i
\(443\) 2.34487 + 1.32421i 0.111408 + 0.0629150i 0.546430 0.837505i \(-0.315987\pi\)
−0.435022 + 0.900420i \(0.643259\pi\)
\(444\) −41.4382 30.1067i −1.96657 1.42880i
\(445\) 2.67825 + 1.13184i 0.126961 + 0.0536542i
\(446\) −6.58878 + 1.14023i −0.311988 + 0.0539916i
\(447\) 3.01896 + 35.1491i 0.142792 + 1.66250i
\(448\) 0.669710 7.79730i 0.0316408 0.368388i
\(449\) −27.8223 4.81483i −1.31301 0.227226i −0.529346 0.848406i \(-0.677563\pi\)
−0.783668 + 0.621180i \(0.786654\pi\)
\(450\) 1.48486 + 0.954262i 0.0699970 + 0.0449844i
\(451\) −37.6362 + 6.40103i −1.77222 + 0.301413i
\(452\) −15.4371 + 9.92084i −0.726102 + 0.466637i
\(453\) −17.6092 + 7.44169i −0.827350 + 0.349641i
\(454\) −0.0428533 0.00996511i −0.00201121 0.000467686i
\(455\) −1.78856 4.59388i −0.0838489 0.215364i
\(456\) 1.78984 2.96811i 0.0838169 0.138995i
\(457\) 9.83794 + 30.2781i 0.460199 + 1.41635i 0.864921 + 0.501908i \(0.167368\pi\)
−0.404721 + 0.914440i \(0.632632\pi\)
\(458\) −3.02512 3.92305i −0.141355 0.183312i
\(459\) −15.8280 + 40.6539i −0.738787 + 1.89756i
\(460\) −1.59513 + 2.33280i −0.0743734 + 0.108768i
\(461\) −1.49903 10.4260i −0.0698169 0.485587i −0.994491 0.104827i \(-0.966571\pi\)
0.924674 0.380761i \(-0.124338\pi\)
\(462\) 1.94953 + 2.54339i 0.0907005 + 0.118329i
\(463\) −2.30285 + 16.0167i −0.107023 + 0.744359i 0.863674 + 0.504051i \(0.168158\pi\)
−0.970697 + 0.240308i \(0.922751\pi\)
\(464\) −0.0284788 0.0261376i −0.00132210 0.00121341i
\(465\) −27.3083 + 1.56154i −1.26639 + 0.0724148i
\(466\) 0.393031 1.93968i 0.0182068 0.0898542i
\(467\) 17.0953 + 13.9787i 0.791074 + 0.646858i 0.939686 0.342038i \(-0.111117\pi\)
−0.148612 + 0.988896i \(0.547481\pi\)
\(468\) 49.3259 24.2519i 2.28009 1.12105i
\(469\) −1.93050 0.688802i −0.0891423 0.0318059i
\(470\) 0.616831 0.799921i 0.0284523 0.0368976i
\(471\) −0.0658454 0.109192i −0.00303400 0.00503132i
\(472\) −8.23346 + 9.50192i −0.378976 + 0.437361i
\(473\) 28.4224 11.9145i 1.30686 0.547830i
\(474\) 4.54543 + 5.24570i 0.208778 + 0.240943i
\(475\) 0.339582 1.04513i 0.0155811 0.0479537i
\(476\) −7.70575 + 2.74941i −0.353192 + 0.126019i
\(477\) 33.7699 34.7484i 1.54622 1.59102i
\(478\) −1.80301 + 1.65479i −0.0824678 + 0.0756883i
\(479\) −12.2925 17.9772i −0.561657 0.821398i 0.435223 0.900323i \(-0.356669\pi\)
−0.996881 + 0.0789249i \(0.974851\pi\)
\(480\) −8.96739 + 2.08528i −0.409303 + 0.0951794i
\(481\) 27.7615 20.1699i 1.26581 0.919668i
\(482\) −0.681861 + 0.0782363i −0.0310579 + 0.00356356i
\(483\) −5.55154 −0.252604
\(484\) 0.484709 + 21.2840i 0.0220322 + 0.967456i
\(485\) −3.44179 −0.156283
\(486\) −5.22758 + 0.599809i −0.237128 + 0.0272079i
\(487\) 2.37440 1.72510i 0.107594 0.0781717i −0.532687 0.846312i \(-0.678818\pi\)
0.640281 + 0.768140i \(0.278818\pi\)
\(488\) 8.15201 1.89567i 0.369024 0.0858128i
\(489\) 39.0733 + 57.1428i 1.76695 + 2.58409i
\(490\) 1.03849 0.953122i 0.0469144 0.0430576i
\(491\) 20.6379 21.2359i 0.931375 0.958362i −0.0678516 0.997695i \(-0.521614\pi\)
0.999226 + 0.0393336i \(0.0125235\pi\)
\(492\) 66.1704 23.6096i 2.98319 1.06440i
\(493\) −0.0115809 + 0.0356422i −0.000521576 + 0.00160525i
\(494\) 0.747831 + 0.863043i 0.0336465 + 0.0388301i
\(495\) −13.0569 + 18.9770i −0.586866 + 0.852953i
\(496\) 20.5424 23.7071i 0.922379 1.06448i
\(497\) −1.12245 1.86137i −0.0503486 0.0834938i
\(498\) 3.23475 4.19490i 0.144953 0.187978i
\(499\) −7.34612 2.62109i −0.328858 0.117336i 0.166460 0.986048i \(-0.446766\pi\)
−0.495317 + 0.868712i \(0.664948\pi\)
\(500\) −1.73684 + 0.853946i −0.0776738 + 0.0381896i
\(501\) 57.6115 + 47.1087i 2.57389 + 2.10466i
\(502\) 0.991031 4.89093i 0.0442319 0.218293i
\(503\) 2.14262 0.122520i 0.0955349 0.00546288i −0.00925599 0.999957i \(-0.502946\pi\)
0.104791 + 0.994494i \(0.466583\pi\)
\(504\) −6.16974 5.66253i −0.274822 0.252229i
\(505\) 2.00774 13.9641i 0.0893432 0.621396i
\(506\) 0.993590 + 0.726290i 0.0441705 + 0.0322875i
\(507\) 1.66977 + 11.6135i 0.0741572 + 0.515775i
\(508\) 1.61363 2.35986i 0.0715932 0.104702i
\(509\) −11.7894 + 30.2808i −0.522555 + 1.34217i 0.385262 + 0.922807i \(0.374111\pi\)
−0.907818 + 0.419365i \(0.862253\pi\)
\(510\) 1.71604 + 2.22540i 0.0759874 + 0.0985423i
\(511\) −2.48677 7.65348i −0.110008 0.338570i
\(512\) 9.18812 15.2368i 0.406061 0.673377i
\(513\) 4.96054 + 12.7410i 0.219013 + 0.562531i
\(514\) −6.23925 1.45087i −0.275201 0.0639953i
\(515\) −5.07548 + 2.14491i −0.223652 + 0.0945162i
\(516\) −47.7119 + 30.6626i −2.10040 + 1.34984i
\(517\) 10.1811 + 8.37432i 0.447763 + 0.368302i
\(518\) −2.16300 1.39008i −0.0950370 0.0610766i
\(519\) 30.1897 + 5.22453i 1.32518 + 0.229332i
\(520\) 0.349969 4.07461i 0.0153471 0.178684i
\(521\) −3.07079 35.7525i −0.134534 1.56635i −0.683153 0.730275i \(-0.739392\pi\)
0.548620 0.836072i \(-0.315154\pi\)
\(522\) −0.0185888 + 0.00321691i −0.000813608 + 0.000140800i
\(523\) −32.7003 13.8193i −1.42988 0.604274i −0.469495 0.882935i \(-0.655564\pi\)
−0.960390 + 0.278661i \(0.910109\pi\)
\(524\) 20.5219 + 14.9100i 0.896503 + 0.651348i
\(525\) −3.31057 1.86957i −0.144485 0.0815945i
\(526\) −0.164635 + 5.76297i −0.00717842 + 0.251278i
\(527\) −29.1807 8.56821i −1.27113 0.373237i
\(528\) −7.40490 37.0961i −0.322257 1.61440i
\(529\) 20.0226 5.87917i 0.870549 0.255616i
\(530\) −0.450733 1.71477i −0.0195786 0.0744847i
\(531\) −17.3391 85.5716i −0.752451 3.71349i
\(532\) −1.19659 + 2.26780i −0.0518789 + 0.0983214i
\(533\) 1.34408 + 47.0488i 0.0582184 + 2.03791i
\(534\) −0.592402 + 2.25373i −0.0256357 + 0.0975284i
\(535\) −15.5153 0.887195i −0.670783 0.0383568i
\(536\) −1.18506 1.21940i −0.0511868 0.0526700i
\(537\) 12.0087 + 5.90429i 0.518214 + 0.254789i
\(538\) −0.430759 0.943230i −0.0185713 0.0406655i
\(539\) 12.0064 + 13.9374i 0.517151 + 0.600327i
\(540\) 10.0034 21.9043i 0.430476 0.942611i
\(541\) −23.3942 + 19.1293i −1.00580 + 0.822435i −0.984151 0.177331i \(-0.943254\pi\)
−0.0216440 + 0.999766i \(0.506890\pi\)
\(542\) −1.88970 3.58138i −0.0811697 0.153834i
\(543\) −43.5994 + 24.6217i −1.87103 + 1.05662i
\(544\) −10.1698 1.16687i −0.436026 0.0500293i
\(545\) −15.1520 1.73853i −0.649042 0.0744706i
\(546\) 3.44029 1.94282i 0.147231 0.0831450i
\(547\) −6.98266 13.2336i −0.298557 0.565829i 0.688684 0.725062i \(-0.258189\pi\)
−0.987241 + 0.159233i \(0.949098\pi\)
\(548\) 14.1882 11.6017i 0.606092 0.495599i
\(549\) −24.1444 + 52.8688i −1.03046 + 2.25638i
\(550\) 0.347922 + 0.767718i 0.0148355 + 0.0327356i
\(551\) 0.00487915 + 0.0106839i 0.000207859 + 0.000455147i
\(552\) −4.13290 2.03201i −0.175908 0.0864880i
\(553\) −7.27688 7.48774i −0.309445 0.318411i
\(554\) 3.70459 + 0.211836i 0.157393 + 0.00900006i
\(555\) 6.72786 25.5954i 0.285582 1.08646i
\(556\) 0.327101 + 11.4500i 0.0138722 + 0.485589i
\(557\) 2.15461 4.08344i 0.0912938 0.173021i −0.834545 0.550940i \(-0.814269\pi\)
0.925839 + 0.377919i \(0.123360\pi\)
\(558\) −3.04026 15.0043i −0.128705 0.635182i
\(559\) −9.65935 36.7480i −0.408547 1.55427i
\(560\) 4.18361 1.22842i 0.176790 0.0519102i
\(561\) −29.7326 + 21.4708i −1.25531 + 0.906497i
\(562\) −0.643158 0.188848i −0.0271300 0.00796609i
\(563\) −0.927587 + 32.4698i −0.0390931 + 1.36844i 0.709171 + 0.705037i \(0.249069\pi\)
−0.748264 + 0.663401i \(0.769112\pi\)
\(564\) −21.1243 11.9294i −0.889493 0.502320i
\(565\) −7.67050 5.57294i −0.322700 0.234455i
\(566\) −3.25251 1.37452i −0.136713 0.0577755i
\(567\) 21.8597 3.78297i 0.918022 0.158870i
\(568\) −0.154307 1.79656i −0.00647456 0.0753819i
\(569\) −2.22758 + 25.9352i −0.0933850 + 1.08726i 0.788258 + 0.615345i \(0.210983\pi\)
−0.881643 + 0.471917i \(0.843562\pi\)
\(570\) 0.867824 + 0.150183i 0.0363491 + 0.00629047i
\(571\) 29.1064 + 18.7056i 1.21807 + 0.782803i 0.981990 0.188931i \(-0.0605023\pi\)
0.236076 + 0.971735i \(0.424139\pi\)
\(572\) 26.0680 + 3.06752i 1.08996 + 0.128260i
\(573\) 10.7097 6.88269i 0.447403 0.287529i
\(574\) 3.24855 1.37285i 0.135592 0.0573016i
\(575\) −1.42222 0.330723i −0.0593106 0.0137921i
\(576\) 16.3571 + 42.0128i 0.681545 + 1.75053i
\(577\) 1.78484 2.95983i 0.0743039 0.123219i −0.816978 0.576669i \(-0.804352\pi\)
0.891282 + 0.453450i \(0.149807\pi\)
\(578\) −0.369518 1.13726i −0.0153699 0.0473037i
\(579\) −6.03782 7.82998i −0.250923 0.325403i
\(580\) 0.00750499 0.0192764i 0.000311628 0.000800409i
\(581\) −4.49776 + 6.57776i −0.186598 + 0.272891i
\(582\) −0.392564 2.73034i −0.0162723 0.113176i
\(583\) 22.5526 5.17559i 0.934032 0.214351i
\(584\) 0.950077 6.60793i 0.0393145 0.273438i
\(585\) 20.9233 + 19.2033i 0.865073 + 0.793957i
\(586\) 4.46905 0.255549i 0.184615 0.0105567i
\(587\) 3.03387 14.9727i 0.125221 0.617990i −0.867488 0.497458i \(-0.834267\pi\)
0.992709 0.120533i \(-0.0384603\pi\)
\(588\) −26.2075 21.4297i −1.08078 0.883748i
\(589\) −8.55346 + 4.20545i −0.352439 + 0.173283i
\(590\) −3.00900 1.07361i −0.123879 0.0441998i
\(591\) 39.5582 51.3000i 1.62721 2.11020i
\(592\) 15.6730 + 25.9908i 0.644157 + 1.06821i
\(593\) 12.3043 14.1999i 0.505277 0.583120i −0.444606 0.895726i \(-0.646656\pi\)
0.949883 + 0.312606i \(0.101202\pi\)
\(594\) −9.39763 4.65434i −0.385590 0.190970i
\(595\) −2.76828 3.19477i −0.113489 0.130973i
\(596\) 6.69049 20.5912i 0.274053 0.843448i
\(597\) 28.4064 10.1354i 1.16260 0.414813i
\(598\) 1.05752 1.08816i 0.0432451 0.0444982i
\(599\) −18.8277 + 17.2799i −0.769280 + 0.706038i −0.961346 0.275344i \(-0.911208\pi\)
0.192066 + 0.981382i \(0.438481\pi\)
\(600\) −1.78028 2.60357i −0.0726795 0.106290i
\(601\) −9.72148 + 2.26063i −0.396548 + 0.0922132i −0.420028 0.907511i \(-0.637980\pi\)
0.0234805 + 0.999724i \(0.492525\pi\)
\(602\) −2.30327 + 1.67342i −0.0938742 + 0.0682036i
\(603\) 11.7311 1.34602i 0.477729 0.0548143i
\(604\) 11.7324 0.477383
\(605\) −10.1570 + 4.22323i −0.412940 + 0.171699i
\(606\) 11.3066 0.459301
\(607\) −19.5528 + 2.24348i −0.793625 + 0.0910600i −0.501316 0.865264i \(-0.667151\pi\)
−0.292309 + 0.956324i \(0.594423\pi\)
\(608\) −2.59545 + 1.88571i −0.105259 + 0.0764755i
\(609\) 0.0395799 0.00920392i 0.00160386 0.000372962i
\(610\) 1.20041 + 1.75555i 0.0486032 + 0.0710799i
\(611\) 11.9742 10.9898i 0.484425 0.444601i
\(612\) 32.8487 33.8006i 1.32783 1.36631i
\(613\) 37.9966 13.5572i 1.53467 0.547569i 0.572472 0.819924i \(-0.305985\pi\)
0.962197 + 0.272356i \(0.0878028\pi\)
\(614\) −2.47670 + 7.62251i −0.0999516 + 0.307619i
\(615\) 23.7717 + 27.4340i 0.958566 + 1.10624i
\(616\) −1.00543 3.87059i −0.0405099 0.155951i
\(617\) −0.593429 + 0.684854i −0.0238906 + 0.0275712i −0.767569 0.640966i \(-0.778534\pi\)
0.743679 + 0.668537i \(0.233079\pi\)
\(618\) −2.28045 3.78169i −0.0917330 0.152122i
\(619\) −9.86827 + 12.7974i −0.396639 + 0.514371i −0.947296 0.320361i \(-0.896196\pi\)
0.550656 + 0.834732i \(0.314378\pi\)
\(620\) 15.8106 + 5.64119i 0.634967 + 0.226556i
\(621\) 16.3034 8.01582i 0.654231 0.321664i
\(622\) −2.72451 2.22782i −0.109243 0.0893273i
\(623\) 0.696135 3.43556i 0.0278901 0.137643i
\(624\) −46.5620 + 2.66251i −1.86397 + 0.106586i
\(625\) −0.736741 0.676175i −0.0294696 0.0270470i
\(626\) 0.547544 3.80825i 0.0218843 0.152208i
\(627\) −2.31519 + 11.2583i −0.0924597 + 0.449615i
\(628\) 0.0111367 + 0.0774575i 0.000444403 + 0.00309089i
\(629\) 16.6089 24.2897i 0.662239 0.968494i
\(630\) 0.772036 1.98296i 0.0307587 0.0790030i
\(631\) −6.89760 8.94497i −0.274589 0.356094i 0.634333 0.773060i \(-0.281275\pi\)
−0.908922 + 0.416967i \(0.863093\pi\)
\(632\) −2.67664 8.23784i −0.106471 0.327684i
\(633\) −42.3323 + 70.2003i −1.68256 + 2.79021i
\(634\) −1.39952 3.59463i −0.0555819 0.142761i
\(635\) 1.43871 + 0.334558i 0.0570935 + 0.0132765i
\(636\) −39.2234 + 16.5760i −1.55531 + 0.657280i
\(637\) 19.0798 12.2618i 0.755968 0.485831i
\(638\) −0.00828796 0.00353084i −0.000328123 0.000139787i
\(639\) 10.5341 + 6.76986i 0.416723 + 0.267812i
\(640\) 7.37881 + 1.27695i 0.291673 + 0.0504760i
\(641\) −1.46135 + 17.0142i −0.0577200 + 0.672022i 0.909103 + 0.416572i \(0.136769\pi\)
−0.966822 + 0.255449i \(0.917777\pi\)
\(642\) −1.06584 12.4093i −0.0420653 0.489757i
\(643\) −21.0044 + 3.63496i −0.828334 + 0.143349i −0.568895 0.822410i \(-0.692629\pi\)
−0.259440 + 0.965759i \(0.583538\pi\)
\(644\) 3.13831 + 1.32626i 0.123667 + 0.0522621i
\(645\) −23.7074 17.2244i −0.933477 0.678211i
\(646\) 0.852670 + 0.481525i 0.0335479 + 0.0189454i
\(647\) 0.806986 28.2482i 0.0317259 1.11055i −0.815313 0.579020i \(-0.803435\pi\)
0.847039 0.531531i \(-0.178383\pi\)
\(648\) 17.6583 + 5.18496i 0.693685 + 0.203684i
\(649\) 15.2393 38.8090i 0.598194 1.52339i
\(650\) 0.997088 0.292772i 0.0391090 0.0114834i
\(651\) 8.38324 + 31.8932i 0.328565 + 1.24999i
\(652\) −8.43690 41.6377i −0.330414 1.63066i
\(653\) −16.1983 + 30.6992i −0.633889 + 1.20135i 0.332215 + 0.943204i \(0.392204\pi\)
−0.966105 + 0.258150i \(0.916887\pi\)
\(654\) −0.349049 12.2183i −0.0136489 0.477773i
\(655\) −3.33191 + 12.6759i −0.130188 + 0.495288i
\(656\) −41.5624 2.37662i −1.62274 0.0927915i
\(657\) 32.3099 + 33.2461i 1.26053 + 1.29705i
\(658\) −1.09286 0.537321i −0.0426040 0.0209470i
\(659\) −6.87820 15.0612i −0.267937 0.586700i 0.727064 0.686570i \(-0.240884\pi\)
−0.995000 + 0.0998703i \(0.968157\pi\)
\(660\) 17.0613 10.8950i 0.664110 0.424086i
\(661\) −3.10161 + 6.79157i −0.120639 + 0.264162i −0.960311 0.278932i \(-0.910020\pi\)
0.839672 + 0.543093i \(0.182747\pi\)
\(662\) 4.00066 3.27133i 0.155490 0.127144i
\(663\) 21.1009 + 39.9906i 0.819490 + 1.55311i
\(664\) −5.75603 + 3.25058i −0.223377 + 0.126147i
\(665\) −1.31621 0.151021i −0.0510404 0.00585634i
\(666\) 14.7157 + 1.68846i 0.570220 + 0.0654266i
\(667\) 0.0135892 0.00767416i 0.000526175 0.000297145i
\(668\) −21.3138 40.3942i −0.824657 1.56290i
\(669\) −64.2354 + 52.5250i −2.48349 + 2.03074i
\(670\) 0.179489 0.393027i 0.00693428 0.0151839i
\(671\) −23.3922 + 14.9377i −0.903046 + 0.576665i
\(672\) 4.61091 + 10.0965i 0.177870 + 0.389480i
\(673\) 20.7723 + 10.2130i 0.800712 + 0.393684i 0.795235 0.606301i \(-0.207347\pi\)
0.00547714 + 0.999985i \(0.498257\pi\)
\(674\) 0.506037 + 0.520700i 0.0194918 + 0.0200566i
\(675\) 12.4217 + 0.710298i 0.478111 + 0.0273394i
\(676\) 1.83054 6.96410i 0.0704054 0.267850i
\(677\) −0.458358 16.0446i −0.0176161 0.616645i −0.959661 0.281159i \(-0.909281\pi\)
0.942045 0.335486i \(-0.108901\pi\)
\(678\) 3.54609 6.72059i 0.136187 0.258103i
\(679\) 0.824033 + 4.06676i 0.0316235 + 0.156068i
\(680\) −0.891506 3.39164i −0.0341877 0.130063i
\(681\) −0.523846 + 0.153815i −0.0200738 + 0.00589420i
\(682\) 2.67208 6.80485i 0.102319 0.260571i
\(683\) 34.3536 + 10.0871i 1.31450 + 0.385973i 0.862506 0.506046i \(-0.168893\pi\)
0.451997 + 0.892019i \(0.350712\pi\)
\(684\) 0.421819 14.7656i 0.0161287 0.564577i
\(685\) 8.24566 + 4.65654i 0.315051 + 0.177917i
\(686\) −3.10994 2.25950i −0.118738 0.0862681i
\(687\) −56.6255 23.9301i −2.16040 0.912991i
\(688\) 33.1144 5.73067i 1.26247 0.218480i
\(689\) −2.44127 28.4232i −0.0930050 1.08284i
\(690\) 0.100144 1.16596i 0.00381242 0.0443872i
\(691\) 50.3879 + 8.71996i 1.91684 + 0.331723i 0.998018 0.0629364i \(-0.0200465\pi\)
0.918827 + 0.394659i \(0.129137\pi\)
\(692\) −15.8183 10.1658i −0.601320 0.386445i
\(693\) 25.5490 + 10.8844i 0.970528 + 0.413464i
\(694\) −2.44591 + 1.57189i −0.0928456 + 0.0596682i
\(695\) −5.45164 + 2.30388i −0.206793 + 0.0873913i
\(696\) 0.0328345 + 0.00763534i 0.00124459 + 0.000289417i
\(697\) 14.6433 + 37.6109i 0.554653 + 1.42461i
\(698\) −3.61778 + 5.99941i −0.136935 + 0.227081i
\(699\) −7.58914 23.3570i −0.287048 0.883441i
\(700\) 1.42484 + 1.84777i 0.0538540 + 0.0698391i
\(701\) 9.25359 23.7677i 0.349503 0.897692i −0.641893 0.766795i \(-0.721851\pi\)
0.991396 0.130897i \(-0.0417858\pi\)
\(702\) −7.29797 + 10.6729i −0.275444 + 0.402824i
\(703\) −1.31242 9.12810i −0.0494989 0.344273i
\(704\) −4.33663 + 21.0882i −0.163443 + 0.794793i
\(705\) 1.78389 12.4072i 0.0671850 0.467282i
\(706\) 3.66259 + 3.36149i 0.137843 + 0.126512i
\(707\) −16.9805 + 0.970980i −0.638617 + 0.0365175i
\(708\) −15.2376 + 75.2006i −0.572665 + 2.82621i
\(709\) 15.5155 + 12.6870i 0.582697 + 0.476469i 0.877820 0.478990i \(-0.158997\pi\)
−0.295123 + 0.955459i \(0.595361\pi\)
\(710\) 0.411180 0.202164i 0.0154313 0.00758707i
\(711\) 56.6526 + 20.2136i 2.12464 + 0.758069i
\(712\) 1.77575 2.30283i 0.0665490 0.0863023i
\(713\) 6.54003 + 10.8454i 0.244926 + 0.406164i
\(714\) 2.21864 2.56045i 0.0830306 0.0958224i
\(715\) 3.40969 + 13.1263i 0.127515 + 0.490895i
\(716\) −5.37805 6.20661i −0.200987 0.231952i
\(717\) −9.38442 + 28.8823i −0.350468 + 1.07863i
\(718\) 9.02489 3.22008i 0.336806 0.120172i
\(719\) 1.33769 1.37645i 0.0498874 0.0513329i −0.691729 0.722158i \(-0.743151\pi\)
0.741616 + 0.670825i \(0.234060\pi\)
\(720\) −18.5061 + 16.9847i −0.689680 + 0.632982i
\(721\) 3.74957 + 5.48357i 0.139641 + 0.204219i
\(722\) −4.40419 + 1.02415i −0.163907 + 0.0381149i
\(723\) −6.89025 + 5.00606i −0.256251 + 0.186177i
\(724\) 30.5291 3.50289i 1.13461 0.130184i
\(725\) 0.0106881 0.000396945
\(726\) −4.50874 7.57577i −0.167335 0.281163i
\(727\) −44.4786 −1.64962 −0.824810 0.565411i \(-0.808718\pi\)
−0.824810 + 0.565411i \(0.808718\pi\)
\(728\) −4.89829 + 0.562027i −0.181543 + 0.0208301i
\(729\) −8.16400 + 5.93149i −0.302370 + 0.219685i
\(730\) 1.65227 0.384220i 0.0611534 0.0142206i
\(731\) −18.3906 26.8954i −0.680202 0.994763i
\(732\) 37.6305 34.5370i 1.39086 1.27652i
\(733\) −20.6874 + 21.2869i −0.764108 + 0.786249i −0.981830 0.189762i \(-0.939228\pi\)
0.217722 + 0.976011i \(0.430137\pi\)
\(734\) −6.31790 + 2.25422i −0.233198 + 0.0832048i
\(735\) 5.40522 16.6355i 0.199374 0.613611i
\(736\) 2.79154 + 3.22161i 0.102897 + 0.118750i
\(737\) 5.05301 + 2.50259i 0.186130 + 0.0921840i
\(738\) −13.3048 + 15.3546i −0.489758 + 0.565211i
\(739\) −15.2897 25.3551i −0.562440 0.932702i −0.999447 0.0332439i \(-0.989416\pi\)
0.437007 0.899458i \(-0.356038\pi\)
\(740\) −9.91803 + 12.8619i −0.364594 + 0.472814i
\(741\) 13.3467 + 4.76211i 0.490305 + 0.174940i
\(742\) −1.91823 + 0.943129i −0.0704203 + 0.0346233i
\(743\) −21.6332 17.6894i −0.793647 0.648962i 0.146699 0.989181i \(-0.453135\pi\)
−0.940346 + 0.340219i \(0.889499\pi\)
\(744\) −5.43275 + 26.8117i −0.199174 + 0.982963i
\(745\) 11.1684 0.638634i 0.409180 0.0233978i
\(746\) −2.27231 2.08551i −0.0831952 0.0763559i
\(747\) 6.53303 45.4383i 0.239031 1.66250i
\(748\) 21.9374 5.03441i 0.802110 0.184076i
\(749\) 2.66637 + 18.5450i 0.0974271 + 0.677620i
\(750\) 0.452373 0.661575i 0.0165183 0.0241573i
\(751\) 13.4355 34.5089i 0.490269 1.25925i −0.441848 0.897090i \(-0.645677\pi\)
0.932117 0.362156i \(-0.117959\pi\)
\(752\) 8.77821 + 11.3838i 0.320108 + 0.415124i
\(753\) −19.1361 58.8948i −0.697357 2.14624i
\(754\) −0.00573555 + 0.00951135i −0.000208877 + 0.000346383i
\(755\) 2.19932 + 5.64890i 0.0800414 + 0.205585i
\(756\) −28.2768 6.57549i −1.02842 0.239148i
\(757\) −6.24274 + 2.63821i −0.226896 + 0.0958872i −0.499755 0.866167i \(-0.666576\pi\)
0.272858 + 0.962054i \(0.412031\pi\)
\(758\) −4.75408 + 3.05526i −0.172676 + 0.110972i
\(759\) 15.1678 + 1.78485i 0.550555 + 0.0647858i
\(760\) −0.924587 0.594196i −0.0335383 0.0215537i
\(761\) 22.1626 + 3.83540i 0.803395 + 0.139033i 0.557407 0.830240i \(-0.311796\pi\)
0.245989 + 0.969273i \(0.420887\pi\)
\(762\) −0.101306 + 1.17948i −0.00366991 + 0.0427280i
\(763\) 1.57348 + 18.3197i 0.0569637 + 0.663216i
\(764\) −7.69851 + 1.33228i −0.278522 + 0.0482002i
\(765\) 22.4320 + 9.47986i 0.811032 + 0.342745i
\(766\) 1.77328 + 1.28837i 0.0640713 + 0.0465505i
\(767\) −44.7601 25.2772i −1.61619 0.912707i
\(768\) 0.997779 34.9268i 0.0360043 1.26031i
\(769\) 7.67741 + 2.25429i 0.276854 + 0.0812918i 0.417212 0.908809i \(-0.363007\pi\)
−0.140358 + 0.990101i \(0.544825\pi\)
\(770\) 0.823824 0.594907i 0.0296886 0.0214390i
\(771\) −76.2695 + 22.3948i −2.74678 + 0.806527i
\(772\) 1.54263 + 5.86876i 0.0555204 + 0.211221i
\(773\) 5.04966 + 24.9211i 0.181624 + 0.896348i 0.962421 + 0.271563i \(0.0875406\pi\)
−0.780797 + 0.624785i \(0.785187\pi\)
\(774\) 7.65391 14.5058i 0.275114 0.521399i
\(775\) 0.247681 + 8.66995i 0.00889695 + 0.311434i
\(776\) −0.875082 + 3.32916i −0.0314136 + 0.119510i
\(777\) −31.8539 1.82147i −1.14275 0.0653450i
\(778\) −0.218533 0.224866i −0.00783480 0.00806182i
\(779\) 11.3514 + 5.58111i 0.406706 + 0.199964i
\(780\) −10.3679 22.7025i −0.371229 0.812879i
\(781\) 2.46828 + 5.44645i 0.0883219 + 0.194889i
\(782\) 0.540519 1.18357i 0.0193289 0.0423245i
\(783\) −0.102946 + 0.0841785i −0.00367899 + 0.00300830i
\(784\) 9.36131 + 17.7417i 0.334332 + 0.633630i
\(785\) −0.0352066 + 0.0198821i −0.00125658 + 0.000709622i
\(786\) −10.4357 1.19739i −0.372230 0.0427094i
\(787\) 37.7718 + 4.33391i 1.34642 + 0.154487i 0.757040 0.653368i \(-0.226645\pi\)
0.589380 + 0.807856i \(0.299372\pi\)
\(788\) −34.6180 + 19.5497i −1.23322 + 0.696429i
\(789\) 33.3866 + 63.2747i 1.18860 + 2.25264i
\(790\) 1.70387 1.39325i 0.0606211 0.0495696i
\(791\) −4.74843 + 10.3976i −0.168835 + 0.369697i
\(792\) 15.0362 + 17.4546i 0.534290 + 0.620222i
\(793\) 14.2151 + 31.1266i 0.504792 + 1.10534i
\(794\) 3.34306 + 1.64367i 0.118641 + 0.0583317i
\(795\) −15.3337 15.7780i −0.543831 0.559589i
\(796\) −18.4796 1.05670i −0.654992 0.0374538i
\(797\) −8.46090 + 32.1886i −0.299701 + 1.14018i 0.631412 + 0.775447i \(0.282476\pi\)
−0.931113 + 0.364732i \(0.881161\pi\)
\(798\) −0.0303207 1.06136i −0.00107334 0.0375719i
\(799\) 6.50391 12.3263i 0.230092 0.436072i
\(800\) 0.579764 + 2.86125i 0.0204977 + 0.101160i
\(801\) 5.13371 + 19.5306i 0.181391 + 0.690081i
\(802\) 7.74843 2.27514i 0.273606 0.0803381i
\(803\) 4.33364 + 21.7101i 0.152931 + 0.766134i
\(804\) −9.95666 2.92354i −0.351144 0.103105i
\(805\) −0.0502693 + 1.75965i −0.00177176 + 0.0620197i
\(806\) −7.84833 4.43216i −0.276446 0.156116i
\(807\) −10.4100 7.56331i −0.366450 0.266241i
\(808\) −12.9967 5.49245i −0.457222 0.193224i
\(809\) −19.8233 + 3.43056i −0.696951 + 0.120612i −0.507978 0.861370i \(-0.669607\pi\)
−0.188973 + 0.981982i \(0.560516\pi\)
\(810\) 0.400188 + 4.65931i 0.0140612 + 0.163711i
\(811\) −2.65768 + 30.9428i −0.0933237 + 1.08655i 0.788521 + 0.615008i \(0.210847\pi\)
−0.881845 + 0.471540i \(0.843698\pi\)
\(812\) −0.0245735 0.00425262i −0.000862363 0.000149238i
\(813\) −42.2722 27.1667i −1.48255 0.952777i
\(814\) 5.46278 + 4.49335i 0.191470 + 0.157492i
\(815\) 18.4662 11.8675i 0.646842 0.415700i
\(816\) −36.8378 + 15.5678i −1.28958 + 0.544982i
\(817\) −9.94589 2.31282i −0.347963 0.0809153i
\(818\) 1.55071 + 3.98298i 0.0542195 + 0.139262i
\(819\) 17.6808 29.3203i 0.617818 1.02454i
\(820\) −6.88427 21.1876i −0.240409 0.739903i
\(821\) −4.37139 5.66892i −0.152562 0.197847i 0.709418 0.704788i \(-0.248958\pi\)
−0.861981 + 0.506941i \(0.830776\pi\)
\(822\) −2.75351 + 7.07234i −0.0960398 + 0.246676i
\(823\) 10.6176 15.5278i 0.370107 0.541264i −0.594794 0.803878i \(-0.702766\pi\)
0.964901 + 0.262614i \(0.0845846\pi\)
\(824\) 0.784273 + 5.45474i 0.0273214 + 0.190025i
\(825\) 8.44397 + 6.17234i 0.293981 + 0.214893i
\(826\) −0.548145 + 3.81243i −0.0190724 + 0.132652i
\(827\) −0.485560 0.445643i −0.0168846 0.0154965i 0.667688 0.744441i \(-0.267284\pi\)
−0.684573 + 0.728945i \(0.740011\pi\)
\(828\) −19.5956 + 1.12052i −0.680994 + 0.0389407i
\(829\) −7.23544 + 35.7083i −0.251297 + 1.24020i 0.633323 + 0.773888i \(0.281690\pi\)
−0.884620 + 0.466312i \(0.845582\pi\)
\(830\) −1.30035 1.06329i −0.0451359 0.0369075i
\(831\) 41.3215 20.3164i 1.43343 0.704769i
\(832\) 25.0001 + 8.92001i 0.866721 + 0.309246i
\(833\) 11.8760 15.4011i 0.411481 0.533618i
\(834\) −2.44946 4.06197i −0.0848179 0.140655i
\(835\) 15.4536 17.8344i 0.534793 0.617184i
\(836\) 3.99840 5.81129i 0.138288 0.200988i
\(837\) −70.6696 81.5571i −2.44270 2.81902i
\(838\) 1.06986 3.29268i 0.0369576 0.113744i
\(839\) −1.32210 + 0.471725i −0.0456440 + 0.0162858i −0.358773 0.933425i \(-0.616805\pi\)
0.313129 + 0.949711i \(0.398623\pi\)
\(840\) −2.65011 + 2.72690i −0.0914374 + 0.0940868i
\(841\) 21.3654 19.6090i 0.736738 0.676172i
\(842\) 4.56120 + 6.67054i 0.157189 + 0.229882i
\(843\) −8.10181 + 1.88399i −0.279041 + 0.0648882i
\(844\) 40.7015 29.5714i 1.40100 1.01789i
\(845\) 3.69622 0.424102i 0.127154 0.0145896i
\(846\) 7.01563 0.241202
\(847\) 7.42189 + 10.9902i 0.255019 + 0.377628i
\(848\) 25.2320 0.866472
\(849\) −43.5314 + 4.99476i −1.49399 + 0.171420i
\(850\) 0.720916 0.523776i 0.0247272 0.0179654i
\(851\) −11.9351 + 2.77539i −0.409131 + 0.0951393i
\(852\) −6.21130 9.08374i −0.212796 0.311204i
\(853\) −32.6673 + 29.9818i −1.11851 + 1.02656i −0.119075 + 0.992885i \(0.537993\pi\)
−0.999433 + 0.0336721i \(0.989280\pi\)
\(854\) 1.78692 1.83870i 0.0611473 0.0629190i
\(855\) 7.18842 2.56482i 0.245839 0.0877151i
\(856\) −4.80295 + 14.7820i −0.164162 + 0.505237i
\(857\) 29.5718 + 34.1277i 1.01015 + 1.16578i 0.986114 + 0.166070i \(0.0531077\pi\)
0.0240408 + 0.999711i \(0.492347\pi\)
\(858\) −10.0241 + 4.20205i −0.342216 + 0.143456i
\(859\) −29.9690 + 34.5861i −1.02253 + 1.18006i −0.0390145 + 0.999239i \(0.512422\pi\)
−0.983515 + 0.180824i \(0.942124\pi\)
\(860\) 9.28699 + 15.4007i 0.316684 + 0.525161i
\(861\) 26.7242 34.6565i 0.910757 1.18109i
\(862\) 3.94369 + 1.40711i 0.134323 + 0.0479263i
\(863\) 17.2469 8.47973i 0.587091 0.288653i −0.123403 0.992357i \(-0.539381\pi\)
0.710494 + 0.703703i \(0.248472\pi\)
\(864\) −28.1192 22.9929i −0.956634 0.782236i
\(865\) 1.92937 9.52183i 0.0656006 0.323752i
\(866\) 1.00529 0.0574844i 0.0341611 0.00195340i
\(867\) −10.9322 10.0335i −0.371278 0.340756i
\(868\) 2.88018 20.0321i 0.0977598 0.679935i
\(869\) 17.4743 + 22.7973i 0.592776 + 0.773346i
\(870\) 0.00121906 + 0.00847877i 4.13301e−5 + 0.000287457i
\(871\) 3.92404 5.73872i 0.132961 0.194449i
\(872\) −5.53408 + 14.2142i −0.187408 + 0.481353i
\(873\) −14.5971 18.9298i −0.494037 0.640678i
\(874\) −0.126013 0.387828i −0.00426245 0.0131185i
\(875\) −0.622568 + 1.03241i −0.0210466 + 0.0349019i
\(876\) −14.7812 37.9652i −0.499411 1.28273i
\(877\) −0.0640221 0.0148877i −0.00216187 0.000502722i 0.225416 0.974263i \(-0.427626\pi\)
−0.227578 + 0.973760i \(0.573081\pi\)
\(878\) 4.83862 2.04482i 0.163296 0.0690093i
\(879\) 46.7296 30.0313i 1.57615 1.01293i
\(880\) −11.8253 + 2.01120i −0.398630 + 0.0677976i
\(881\) −47.5437 30.5545i −1.60179 1.02941i −0.966341 0.257263i \(-0.917179\pi\)
−0.635447 0.772144i \(-0.719184\pi\)
\(882\) 9.64657 + 1.66940i 0.324817 + 0.0562118i
\(883\) −2.67482 + 31.1424i −0.0900150 + 1.04803i 0.802393 + 0.596796i \(0.203560\pi\)
−0.892408 + 0.451230i \(0.850986\pi\)
\(884\) −2.37468 27.6479i −0.0798690 0.929898i
\(885\) −39.0640 + 6.76029i −1.31312 + 0.227245i
\(886\) 0.630394 + 0.266407i 0.0211785 + 0.00895011i
\(887\) 35.0543 + 25.4685i 1.17701 + 0.855148i 0.991831 0.127557i \(-0.0407136\pi\)
0.185179 + 0.982705i \(0.440714\pi\)
\(888\) −23.0473 13.0154i −0.773415 0.436768i
\(889\) 0.0508522 1.78006i 0.00170553 0.0597013i
\(890\) 0.708993 + 0.208179i 0.0237655 + 0.00697818i
\(891\) −60.9407 + 3.30773i −2.04159 + 0.110813i
\(892\) 48.8608 14.3468i 1.63598 0.480368i
\(893\) −1.11039 4.22438i −0.0371579 0.141363i
\(894\) 1.78048 + 8.78700i 0.0595481 + 0.293881i
\(895\) 1.98020 3.75290i 0.0661909 0.125446i
\(896\) −0.257807 9.02442i −0.00861273 0.301485i
\(897\) 4.78677 18.2108i 0.159826 0.608039i
\(898\) −7.16406 0.409656i −0.239068 0.0136704i
\(899\) −0.0646081 0.0664802i −0.00215480 0.00221724i
\(900\) −12.0629 5.93091i −0.402096 0.197697i
\(901\) −10.1622 22.2520i −0.338551 0.741323i
\(902\) −9.31697 + 2.70643i −0.310221 + 0.0901143i
\(903\) −14.6761 + 32.1362i −0.488390 + 1.06942i
\(904\) −7.34081 + 6.00255i −0.244152 + 0.199642i
\(905\) 7.40948 + 14.0425i 0.246299 + 0.466789i
\(906\) −4.23038 + 2.38901i −0.140545 + 0.0793695i
\(907\) −9.06105 1.03966i −0.300867 0.0345213i −0.0377565 0.999287i \(-0.512021\pi\)
−0.263111 + 0.964766i \(0.584748\pi\)
\(908\) 0.332879 + 0.0381943i 0.0110470 + 0.00126752i
\(909\) 85.3179 48.1812i 2.82981 1.59807i
\(910\) −0.584658 1.10805i −0.0193812 0.0367315i
\(911\) 8.79938 7.19522i 0.291536 0.238388i −0.475921 0.879488i \(-0.657885\pi\)
0.767457 + 0.641100i \(0.221522\pi\)
\(912\) −5.20669 + 11.4011i −0.172411 + 0.377527i
\(913\) 14.4034 16.5255i 0.476684 0.546915i
\(914\) 3.36102 + 7.35961i 0.111173 + 0.243434i
\(915\) 23.6830 + 11.6441i 0.782936 + 0.384944i
\(916\) 26.2938 + 27.0556i 0.868770 + 0.893943i
\(917\) 15.7754 + 0.902068i 0.520948 + 0.0297889i
\(918\) −2.81854 + 10.7228i −0.0930256 + 0.353906i
\(919\) −0.0889954 3.11524i −0.00293569 0.102762i −0.999739 0.0228629i \(-0.992722\pi\)
0.996803 0.0798995i \(-0.0254599\pi\)
\(920\) −0.681503 + 1.29159i −0.0224685 + 0.0425825i
\(921\) 19.7511 + 97.4755i 0.650821 + 3.21193i
\(922\) −0.680511 2.58893i −0.0224114 0.0852620i
\(923\) 7.07368 2.07702i 0.232833 0.0683660i
\(924\) −16.9581 17.5509i −0.557882 0.577382i
\(925\) −8.05198 2.36427i −0.264747 0.0777368i
\(926\) −0.117431 + 4.11061i −0.00385902 + 0.135083i
\(927\) −33.3228 18.8183i −1.09447 0.618073i
\(928\) −0.0252435 0.0183405i −0.000828658 0.000602056i
\(929\) 14.4930 + 6.12480i 0.475500 + 0.200948i 0.613830 0.789438i \(-0.289628\pi\)
−0.138330 + 0.990386i \(0.544173\pi\)
\(930\) −6.84956 + 1.18536i −0.224606 + 0.0388696i
\(931\) −0.521593 6.07279i −0.0170945 0.199028i
\(932\) −1.28980 + 15.0169i −0.0422488 + 0.491893i
\(933\) −43.0329 7.44714i −1.40884 0.243809i
\(934\) 4.72117 + 3.03411i 0.154481 + 0.0992792i
\(935\) 6.53629 + 9.61867i 0.213760 + 0.314564i
\(936\) 23.8946 15.3562i 0.781021 0.501932i
\(937\) 32.1481 13.5859i 1.05023 0.443832i 0.205297 0.978700i \(-0.434184\pi\)
0.844936 + 0.534867i \(0.179638\pi\)
\(938\) −0.507368 0.117983i −0.0165661 0.00385229i
\(939\) −17.3216 44.4901i −0.565268 1.45188i
\(940\) −3.97252 + 6.58768i −0.129569 + 0.214866i
\(941\) −10.3300 31.7924i −0.336747 1.03640i −0.965855 0.259083i \(-0.916580\pi\)
0.629108 0.777318i \(-0.283420\pi\)
\(942\) −0.0197879 0.0256614i −0.000644725 0.000836094i
\(943\) 6.09790 15.6623i 0.198575 0.510035i
\(944\) 25.6628 37.5306i 0.835252 1.22152i
\(945\) −2.13473 14.8474i −0.0694427 0.482984i
\(946\) 6.83093 3.83156i 0.222093 0.124575i
\(947\) 6.34137 44.1052i 0.206067 1.43323i −0.579764 0.814784i \(-0.696855\pi\)
0.785831 0.618441i \(-0.212236\pi\)
\(948\) −38.9446 35.7430i −1.26486 1.16088i
\(949\) 27.2500 1.55821i 0.884571 0.0505816i
\(950\) 0.0554611 0.273711i 0.00179940 0.00888037i
\(951\) −37.0564 30.3009i −1.20164 0.982574i
\(952\) −3.79407 + 1.86542i −0.122966 + 0.0604585i
\(953\) 15.4169 + 5.50073i 0.499402 + 0.178186i 0.573725 0.819048i \(-0.305498\pi\)
−0.0743231 + 0.997234i \(0.523680\pi\)
\(954\) 7.51960 9.75159i 0.243456 0.315719i
\(955\) −2.08461 3.45694i −0.0674564 0.111864i
\(956\) 12.2050 14.0854i 0.394739 0.455553i
\(957\) −0.111098 + 0.0124215i −0.00359130 + 0.000401532i
\(958\) −3.62439 4.18277i −0.117099 0.135139i
\(959\) 3.52792 10.8578i 0.113922 0.350617i
\(960\) 19.2808 6.87939i 0.622287 0.222031i
\(961\) 30.8251 31.7183i 0.994359 1.02317i
\(962\) 6.42492 5.89673i 0.207148 0.190118i
\(963\) −60.9228 89.0967i −1.96321 2.87110i
\(964\) 5.09104 1.18387i 0.163971 0.0381299i
\(965\) −2.53652 + 1.84289i −0.0816533 + 0.0593246i
\(966\) −1.40165 + 0.160825i −0.0450975 + 0.00517445i
\(967\) −39.4642 −1.26908 −0.634542 0.772888i \(-0.718811\pi\)
−0.634542 + 0.772888i \(0.718811\pi\)
\(968\) 1.50259 + 10.8984i 0.0482951 + 0.350287i
\(969\) 12.1515 0.390364
\(970\) −0.868983 + 0.0997065i −0.0279014 + 0.00320138i
\(971\) −5.05940 + 3.67587i −0.162364 + 0.117964i −0.666000 0.745951i \(-0.731995\pi\)
0.503637 + 0.863916i \(0.331995\pi\)
\(972\) 39.0312 9.07631i 1.25192 0.291123i
\(973\) 4.02747 + 5.88999i 0.129115 + 0.188824i
\(974\) 0.549513 0.504339i 0.0176075 0.0161600i
\(975\) 8.98726 9.24767i 0.287823 0.296162i
\(976\) −28.5055 + 10.1707i −0.912439 + 0.325558i
\(977\) −2.65608 + 8.17458i −0.0849756 + 0.261528i −0.984512 0.175318i \(-0.943905\pi\)
0.899536 + 0.436846i \(0.143905\pi\)
\(978\) 11.5206 + 13.2955i 0.368389 + 0.425143i
\(979\) −3.00651 + 9.16273i −0.0960884 + 0.292842i
\(980\) −7.02983 + 8.11285i −0.224560 + 0.259156i
\(981\) −54.6999 90.7096i −1.74643 2.89614i
\(982\) 4.59547 5.95951i 0.146647 0.190176i
\(983\) −7.47343 2.66651i −0.238365 0.0850486i 0.214165 0.976797i \(-0.431297\pi\)
−0.452531 + 0.891749i \(0.649479\pi\)
\(984\) 32.5802 16.0186i 1.03862 0.510655i
\(985\) −15.9022 13.0032i −0.506686 0.414315i
\(986\) −0.00189141 + 0.00933445i −6.02346e−5 + 0.000297270i
\(987\) −15.0873 + 0.862721i −0.480233 + 0.0274607i
\(988\) −6.40731 5.88058i −0.203844 0.187086i
\(989\) −1.93094 + 13.4300i −0.0614003 + 0.427049i
\(990\) −2.74687 + 5.16957i −0.0873011 + 0.164300i
\(991\) 8.12705 + 56.5249i 0.258164 + 1.79557i 0.545887 + 0.837859i \(0.316193\pi\)
−0.287722 + 0.957714i \(0.592898\pi\)
\(992\) 14.2925 20.9020i 0.453786 0.663641i
\(993\) 23.2664 59.7593i 0.738338 1.89641i
\(994\) −0.337319 0.437442i −0.0106991 0.0138748i
\(995\) −2.95536 9.09565i −0.0936911 0.288352i
\(996\) −20.8325 + 34.5468i −0.660102 + 1.09466i
\(997\) −8.82506 22.6670i −0.279492 0.717870i −0.999709 0.0241210i \(-0.992321\pi\)
0.720217 0.693749i \(-0.244042\pi\)
\(998\) −1.93068 0.448961i −0.0611147 0.0142116i
\(999\) 96.1764 40.6445i 3.04289 1.28593i
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 605.2.s.b.416.12 yes 880
121.16 even 55 inner 605.2.s.b.16.12 880
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
605.2.s.b.16.12 880 121.16 even 55 inner
605.2.s.b.416.12 yes 880 1.1 even 1 trivial