Properties

Label 280.2.br.a.67.14
Level $280$
Weight $2$
Character 280.67
Analytic conductor $2.236$
Analytic rank $0$
Dimension $176$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [280,2,Mod(67,280)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(280, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([6, 6, 3, 8]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("280.67");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.br (of order \(12\), degree \(4\), 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: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(176\)
Relative dimension: \(44\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 67.14
Character \(\chi\) \(=\) 280.67
Dual form 280.2.br.a.163.14

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.786782 - 1.17515i) q^{2} +(0.552175 + 2.06075i) q^{3} +(-0.761947 + 1.84917i) q^{4} +(1.28687 - 1.82865i) q^{5} +(1.98724 - 2.27025i) q^{6} +(-0.126396 - 2.64273i) q^{7} +(2.77254 - 0.559495i) q^{8} +(-1.34370 + 0.775786i) q^{9} +O(q^{10})\) \(q+(-0.786782 - 1.17515i) q^{2} +(0.552175 + 2.06075i) q^{3} +(-0.761947 + 1.84917i) q^{4} +(1.28687 - 1.82865i) q^{5} +(1.98724 - 2.27025i) q^{6} +(-0.126396 - 2.64273i) q^{7} +(2.77254 - 0.559495i) q^{8} +(-1.34370 + 0.775786i) q^{9} +(-3.16142 - 0.0735182i) q^{10} +(-0.610032 + 1.05661i) q^{11} +(-4.23140 - 0.549112i) q^{12} +(2.68783 + 2.68783i) q^{13} +(-3.00615 + 2.22779i) q^{14} +(4.47896 + 1.64218i) q^{15} +(-2.83887 - 2.81794i) q^{16} +(6.90315 - 1.84969i) q^{17} +(1.96886 + 0.968673i) q^{18} +(0.485494 - 0.280300i) q^{19} +(2.40096 + 3.77298i) q^{20} +(5.37620 - 1.71972i) q^{21} +(1.72163 - 0.114441i) q^{22} +(-1.57579 + 5.88093i) q^{23} +(2.68390 + 5.40456i) q^{24} +(-1.68791 - 4.70648i) q^{25} +(1.04386 - 5.27333i) q^{26} +(2.18506 + 2.18506i) q^{27} +(4.98317 + 1.77989i) q^{28} +6.36373 q^{29} +(-1.59416 - 6.55548i) q^{30} +(-5.87051 - 3.38934i) q^{31} +(-1.07792 + 5.55320i) q^{32} +(-2.51424 - 0.673689i) q^{33} +(-7.60494 - 6.65692i) q^{34} +(-4.99528 - 3.16972i) q^{35} +(-0.410733 - 3.07584i) q^{36} +(-4.32578 - 1.15909i) q^{37} +(-0.711372 - 0.349992i) q^{38} +(-4.05478 + 7.02308i) q^{39} +(2.54478 - 5.79000i) q^{40} -11.6461 q^{41} +(-6.25083 - 4.96479i) q^{42} +(3.61709 - 3.61709i) q^{43} +(-1.48904 - 1.93313i) q^{44} +(-0.310532 + 3.45549i) q^{45} +(8.15077 - 2.77522i) q^{46} +(2.05817 + 0.551484i) q^{47} +(4.23951 - 7.40619i) q^{48} +(-6.96805 + 0.668063i) q^{49} +(-4.20279 + 5.68652i) q^{50} +(7.62349 + 13.2043i) q^{51} +(-7.01824 + 2.92227i) q^{52} +(3.77348 - 1.01110i) q^{53} +(0.848602 - 4.28693i) q^{54} +(1.14713 + 2.47525i) q^{55} +(-1.82903 - 7.25635i) q^{56} +(0.845704 + 0.845704i) q^{57} +(-5.00687 - 7.47833i) q^{58} +(-2.73771 - 1.58062i) q^{59} +(-6.44941 + 7.03111i) q^{60} +(-3.85964 + 2.22836i) q^{61} +(0.635836 + 9.56539i) q^{62} +(2.22003 + 3.45298i) q^{63} +(7.37393 - 3.10244i) q^{64} +(8.37399 - 1.45620i) q^{65} +(1.18648 + 3.48466i) q^{66} +(1.46433 - 0.392367i) q^{67} +(-1.83943 + 14.1745i) q^{68} -12.9892 q^{69} +(0.205304 + 8.36408i) q^{70} +3.28399i q^{71} +(-3.29141 + 2.90269i) q^{72} +(-0.877167 - 3.27363i) q^{73} +(2.04134 + 5.99538i) q^{74} +(8.76683 - 6.07716i) q^{75} +(0.148402 + 1.11133i) q^{76} +(2.86943 + 1.47860i) q^{77} +(11.4434 - 0.760672i) q^{78} +(-4.28539 - 7.42252i) q^{79} +(-8.80630 + 1.56497i) q^{80} +(-5.62367 + 9.74048i) q^{81} +(9.16297 + 13.6859i) q^{82} +(-9.39347 + 9.39347i) q^{83} +(-0.916322 + 11.2519i) q^{84} +(5.50104 - 15.0038i) q^{85} +(-7.09647 - 1.40475i) q^{86} +(3.51390 + 13.1140i) q^{87} +(-1.10017 + 3.27079i) q^{88} +(-12.2777 + 7.08853i) q^{89} +(4.30504 - 2.35380i) q^{90} +(6.76347 - 7.44294i) q^{91} +(-9.67418 - 7.39486i) q^{92} +(3.74302 - 13.9691i) q^{93} +(-0.971254 - 2.85255i) q^{94} +(0.112199 - 1.24851i) q^{95} +(-12.0389 + 0.845014i) q^{96} +(-7.07873 - 7.07873i) q^{97} +(6.26741 + 7.66287i) q^{98} -1.89302i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(-1\) \(-1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.786782 1.17515i −0.556339 0.830955i
\(3\) 0.552175 + 2.06075i 0.318799 + 1.18977i 0.920401 + 0.390976i \(0.127863\pi\)
−0.601602 + 0.798796i \(0.705471\pi\)
\(4\) −0.761947 + 1.84917i −0.380973 + 0.924586i
\(5\) 1.28687 1.82865i 0.575507 0.817797i
\(6\) 1.98724 2.27025i 0.811287 0.926824i
\(7\) −0.126396 2.64273i −0.0477733 0.998858i
\(8\) 2.77254 0.559495i 0.980240 0.197811i
\(9\) −1.34370 + 0.775786i −0.447900 + 0.258595i
\(10\) −3.16142 0.0735182i −0.999730 0.0232485i
\(11\) −0.610032 + 1.05661i −0.183932 + 0.318579i −0.943216 0.332180i \(-0.892216\pi\)
0.759284 + 0.650759i \(0.225549\pi\)
\(12\) −4.23140 0.549112i −1.22150 0.158515i
\(13\) 2.68783 + 2.68783i 0.745469 + 0.745469i 0.973625 0.228155i \(-0.0732694\pi\)
−0.228155 + 0.973625i \(0.573269\pi\)
\(14\) −3.00615 + 2.22779i −0.803428 + 0.595401i
\(15\) 4.47896 + 1.64218i 1.15646 + 0.424010i
\(16\) −2.83887 2.81794i −0.709718 0.704485i
\(17\) 6.90315 1.84969i 1.67426 0.448616i 0.708005 0.706207i \(-0.249595\pi\)
0.966254 + 0.257591i \(0.0829287\pi\)
\(18\) 1.96886 + 0.968673i 0.464065 + 0.228318i
\(19\) 0.485494 0.280300i 0.111380 0.0643052i −0.443275 0.896386i \(-0.646184\pi\)
0.554655 + 0.832080i \(0.312850\pi\)
\(20\) 2.40096 + 3.77298i 0.536870 + 0.843665i
\(21\) 5.37620 1.71972i 1.17318 0.375274i
\(22\) 1.72163 0.114441i 0.367053 0.0243990i
\(23\) −1.57579 + 5.88093i −0.328575 + 1.22626i 0.582094 + 0.813121i \(0.302234\pi\)
−0.910669 + 0.413137i \(0.864433\pi\)
\(24\) 2.68390 + 5.40456i 0.547850 + 1.10320i
\(25\) −1.68791 4.70648i −0.337583 0.941296i
\(26\) 1.04386 5.27333i 0.204718 1.03419i
\(27\) 2.18506 + 2.18506i 0.420514 + 0.420514i
\(28\) 4.98317 + 1.77989i 0.941731 + 0.336368i
\(29\) 6.36373 1.18172 0.590858 0.806776i \(-0.298789\pi\)
0.590858 + 0.806776i \(0.298789\pi\)
\(30\) −1.59416 6.55548i −0.291052 1.19686i
\(31\) −5.87051 3.38934i −1.05437 0.608743i −0.130504 0.991448i \(-0.541659\pi\)
−0.923871 + 0.382705i \(0.874993\pi\)
\(32\) −1.07792 + 5.55320i −0.190552 + 0.981677i
\(33\) −2.51424 0.673689i −0.437674 0.117274i
\(34\) −7.60494 6.65692i −1.30424 1.14165i
\(35\) −4.99528 3.16972i −0.844357 0.535781i
\(36\) −0.410733 3.07584i −0.0684555 0.512640i
\(37\) −4.32578 1.15909i −0.711153 0.190553i −0.114932 0.993373i \(-0.536665\pi\)
−0.596221 + 0.802820i \(0.703332\pi\)
\(38\) −0.711372 0.349992i −0.115400 0.0567762i
\(39\) −4.05478 + 7.02308i −0.649284 + 1.12459i
\(40\) 2.54478 5.79000i 0.402366 0.915479i
\(41\) −11.6461 −1.81882 −0.909410 0.415901i \(-0.863466\pi\)
−0.909410 + 0.415901i \(0.863466\pi\)
\(42\) −6.25083 4.96479i −0.964524 0.766084i
\(43\) 3.61709 3.61709i 0.551600 0.551600i −0.375302 0.926903i \(-0.622461\pi\)
0.926903 + 0.375302i \(0.122461\pi\)
\(44\) −1.48904 1.93313i −0.224481 0.291431i
\(45\) −0.310532 + 3.45549i −0.0462914 + 0.515115i
\(46\) 8.15077 2.77522i 1.20176 0.409184i
\(47\) 2.05817 + 0.551484i 0.300214 + 0.0804422i 0.405782 0.913970i \(-0.366999\pi\)
−0.105567 + 0.994412i \(0.533666\pi\)
\(48\) 4.23951 7.40619i 0.611920 1.06899i
\(49\) −6.96805 + 0.668063i −0.995435 + 0.0954376i
\(50\) −4.20279 + 5.68652i −0.594364 + 0.804196i
\(51\) 7.62349 + 13.2043i 1.06750 + 1.84897i
\(52\) −7.01824 + 2.92227i −0.973255 + 0.405246i
\(53\) 3.77348 1.01110i 0.518328 0.138885i 0.00983465 0.999952i \(-0.496869\pi\)
0.508493 + 0.861066i \(0.330203\pi\)
\(54\) 0.848602 4.28693i 0.115480 0.583377i
\(55\) 1.14713 + 2.47525i 0.154679 + 0.333763i
\(56\) −1.82903 7.25635i −0.244415 0.969671i
\(57\) 0.845704 + 0.845704i 0.112016 + 0.112016i
\(58\) −5.00687 7.47833i −0.657435 0.981953i
\(59\) −2.73771 1.58062i −0.356420 0.205779i 0.311089 0.950381i \(-0.399306\pi\)
−0.667509 + 0.744602i \(0.732640\pi\)
\(60\) −6.44941 + 7.03111i −0.832615 + 0.907712i
\(61\) −3.85964 + 2.22836i −0.494176 + 0.285313i −0.726305 0.687372i \(-0.758764\pi\)
0.232129 + 0.972685i \(0.425431\pi\)
\(62\) 0.635836 + 9.56539i 0.0807512 + 1.21481i
\(63\) 2.22003 + 3.45298i 0.279698 + 0.435035i
\(64\) 7.37393 3.10244i 0.921741 0.387805i
\(65\) 8.37399 1.45620i 1.03867 0.180619i
\(66\) 1.18648 + 3.48466i 0.146045 + 0.428931i
\(67\) 1.46433 0.392367i 0.178897 0.0479352i −0.168259 0.985743i \(-0.553814\pi\)
0.347155 + 0.937808i \(0.387148\pi\)
\(68\) −1.83943 + 14.1745i −0.223064 + 1.71891i
\(69\) −12.9892 −1.56372
\(70\) 0.205304 + 8.36408i 0.0245385 + 0.999699i
\(71\) 3.28399i 0.389738i 0.980829 + 0.194869i \(0.0624282\pi\)
−0.980829 + 0.194869i \(0.937572\pi\)
\(72\) −3.29141 + 2.90269i −0.387897 + 0.342085i
\(73\) −0.877167 3.27363i −0.102665 0.383150i 0.895405 0.445252i \(-0.146886\pi\)
−0.998070 + 0.0621027i \(0.980219\pi\)
\(74\) 2.04134 + 5.99538i 0.237301 + 0.696949i
\(75\) 8.76683 6.07716i 1.01231 0.701730i
\(76\) 0.148402 + 1.11133i 0.0170229 + 0.127479i
\(77\) 2.86943 + 1.47860i 0.327002 + 0.168502i
\(78\) 11.4434 0.760672i 1.29571 0.0861291i
\(79\) −4.28539 7.42252i −0.482145 0.835099i 0.517645 0.855595i \(-0.326809\pi\)
−0.999790 + 0.0204964i \(0.993475\pi\)
\(80\) −8.80630 + 1.56497i −0.984574 + 0.174969i
\(81\) −5.62367 + 9.74048i −0.624852 + 1.08228i
\(82\) 9.16297 + 13.6859i 1.01188 + 1.51136i
\(83\) −9.39347 + 9.39347i −1.03107 + 1.03107i −0.0315660 + 0.999502i \(0.510049\pi\)
−0.999502 + 0.0315660i \(0.989951\pi\)
\(84\) −0.916322 + 11.2519i −0.0999789 + 1.22768i
\(85\) 5.50104 15.0038i 0.596671 1.62739i
\(86\) −7.09647 1.40475i −0.765232 0.151478i
\(87\) 3.51390 + 13.1140i 0.376729 + 1.40597i
\(88\) −1.10017 + 3.27079i −0.117279 + 0.348668i
\(89\) −12.2777 + 7.08853i −1.30143 + 0.751382i −0.980650 0.195770i \(-0.937279\pi\)
−0.320783 + 0.947153i \(0.603946\pi\)
\(90\) 4.30504 2.35380i 0.453791 0.248112i
\(91\) 6.76347 7.44294i 0.709005 0.780232i
\(92\) −9.67418 7.39486i −1.00860 0.770968i
\(93\) 3.74302 13.9691i 0.388133 1.44853i
\(94\) −0.971254 2.85255i −0.100177 0.294218i
\(95\) 0.112199 1.24851i 0.0115113 0.128094i
\(96\) −12.0389 + 0.845014i −1.22872 + 0.0862439i
\(97\) −7.07873 7.07873i −0.718736 0.718736i 0.249611 0.968346i \(-0.419697\pi\)
−0.968346 + 0.249611i \(0.919697\pi\)
\(98\) 6.26741 + 7.66287i 0.633104 + 0.774067i
\(99\) 1.89302i 0.190255i
\(100\) 9.98919 + 0.464844i 0.998919 + 0.0464844i
\(101\) −1.17896 0.680672i −0.117311 0.0677294i 0.440196 0.897901i \(-0.354909\pi\)
−0.557507 + 0.830172i \(0.688242\pi\)
\(102\) 9.51895 19.3476i 0.942517 1.91570i
\(103\) 0.405398 1.51297i 0.0399450 0.149077i −0.943073 0.332586i \(-0.892079\pi\)
0.983018 + 0.183509i \(0.0587456\pi\)
\(104\) 8.95593 + 5.94828i 0.878201 + 0.583277i
\(105\) 3.77373 12.0443i 0.368278 1.17540i
\(106\) −4.15710 3.63888i −0.403773 0.353440i
\(107\) −1.64732 + 6.14788i −0.159252 + 0.594338i 0.839451 + 0.543435i \(0.182877\pi\)
−0.998704 + 0.0509028i \(0.983790\pi\)
\(108\) −5.70544 + 2.37565i −0.549007 + 0.228597i
\(109\) 1.18073 2.04508i 0.113093 0.195883i −0.803923 0.594734i \(-0.797258\pi\)
0.917016 + 0.398851i \(0.130591\pi\)
\(110\) 2.00625 3.29553i 0.191288 0.314217i
\(111\) 9.55435i 0.906859i
\(112\) −7.08824 + 7.85856i −0.669775 + 0.742564i
\(113\) 3.51644 3.51644i 0.330799 0.330799i −0.522091 0.852890i \(-0.674848\pi\)
0.852890 + 0.522091i \(0.174848\pi\)
\(114\) 0.328443 1.65921i 0.0307615 0.155400i
\(115\) 8.72631 + 10.4496i 0.813733 + 0.974428i
\(116\) −4.84883 + 11.7676i −0.450202 + 1.09260i
\(117\) −5.69681 1.52646i −0.526671 0.141121i
\(118\) 0.296522 + 4.46082i 0.0272971 + 0.410652i
\(119\) −5.76077 18.0094i −0.528089 1.65092i
\(120\) 13.3369 + 2.04706i 1.21749 + 0.186870i
\(121\) 4.75572 + 8.23715i 0.432338 + 0.748832i
\(122\) 5.65535 + 2.78241i 0.512011 + 0.251908i
\(123\) −6.43070 23.9997i −0.579837 2.16398i
\(124\) 10.7405 8.27308i 0.964524 0.742945i
\(125\) −10.7786 2.97004i −0.964070 0.265648i
\(126\) 2.31108 5.32561i 0.205888 0.474443i
\(127\) −13.3853 + 13.3853i −1.18775 + 1.18775i −0.210064 + 0.977688i \(0.567367\pi\)
−0.977688 + 0.210064i \(0.932633\pi\)
\(128\) −9.44751 6.22451i −0.835050 0.550175i
\(129\) 9.45116 + 5.45663i 0.832128 + 0.480429i
\(130\) −8.29976 8.69497i −0.727937 0.762599i
\(131\) 0.922567 + 1.59793i 0.0806051 + 0.139612i 0.903510 0.428567i \(-0.140981\pi\)
−0.822905 + 0.568179i \(0.807648\pi\)
\(132\) 3.16149 4.13595i 0.275172 0.359988i
\(133\) −0.802122 1.24760i −0.0695528 0.108181i
\(134\) −1.61320 1.41210i −0.139359 0.121987i
\(135\) 6.80759 1.18381i 0.585904 0.101886i
\(136\) 18.1043 8.99062i 1.55243 0.770939i
\(137\) 17.3253 4.64230i 1.48020 0.396619i 0.573785 0.819006i \(-0.305474\pi\)
0.906415 + 0.422387i \(0.138808\pi\)
\(138\) 10.2197 + 15.2642i 0.869957 + 1.29938i
\(139\) 1.92772i 0.163507i 0.996653 + 0.0817534i \(0.0260520\pi\)
−0.996653 + 0.0817534i \(0.973948\pi\)
\(140\) 9.66751 6.82197i 0.817053 0.576562i
\(141\) 4.54587i 0.382832i
\(142\) 3.85918 2.58379i 0.323855 0.216827i
\(143\) −4.47964 + 1.20032i −0.374606 + 0.100375i
\(144\) 6.00071 + 1.58411i 0.500060 + 0.132009i
\(145\) 8.18932 11.6370i 0.680086 0.966403i
\(146\) −3.15686 + 3.60644i −0.261264 + 0.298471i
\(147\) −5.22429 13.9905i −0.430892 1.15392i
\(148\) 5.43937 7.11594i 0.447113 0.584927i
\(149\) 1.78891 + 3.09848i 0.146553 + 0.253838i 0.929951 0.367683i \(-0.119849\pi\)
−0.783398 + 0.621520i \(0.786515\pi\)
\(150\) −14.0392 5.52092i −1.14629 0.450782i
\(151\) −6.59273 3.80631i −0.536508 0.309753i 0.207154 0.978308i \(-0.433580\pi\)
−0.743663 + 0.668555i \(0.766913\pi\)
\(152\) 1.18922 1.04877i 0.0964587 0.0850667i
\(153\) −7.84080 + 7.84080i −0.633891 + 0.633891i
\(154\) −0.520046 4.53535i −0.0419065 0.365469i
\(155\) −13.7525 + 6.37345i −1.10463 + 0.511928i
\(156\) −9.89736 12.8492i −0.792423 1.02876i
\(157\) −1.36650 5.09985i −0.109059 0.407012i 0.889715 0.456516i \(-0.150903\pi\)
−0.998774 + 0.0495035i \(0.984236\pi\)
\(158\) −5.35089 + 10.8759i −0.425694 + 0.865239i
\(159\) 4.16725 + 7.21788i 0.330484 + 0.572415i
\(160\) 8.76771 + 9.11742i 0.693148 + 0.720795i
\(161\) 15.7409 + 3.42106i 1.24056 + 0.269617i
\(162\) 15.8711 1.05499i 1.24695 0.0828881i
\(163\) 4.13568 + 1.10815i 0.323931 + 0.0867971i 0.417120 0.908851i \(-0.363039\pi\)
−0.0931890 + 0.995648i \(0.529706\pi\)
\(164\) 8.87373 21.5357i 0.692922 1.68165i
\(165\) −4.46745 + 3.73072i −0.347791 + 0.290436i
\(166\) 18.4293 + 3.64810i 1.43039 + 0.283148i
\(167\) 12.5685 12.5685i 0.972581 0.972581i −0.0270530 0.999634i \(-0.508612\pi\)
0.999634 + 0.0270530i \(0.00861229\pi\)
\(168\) 13.9435 7.77595i 1.07577 0.599928i
\(169\) 1.44884i 0.111449i
\(170\) −21.9598 + 5.34015i −1.68424 + 0.409571i
\(171\) −0.434905 + 0.753278i −0.0332580 + 0.0576046i
\(172\) 3.93259 + 9.44464i 0.299857 + 0.720147i
\(173\) −3.44197 + 12.8456i −0.261688 + 0.976632i 0.702559 + 0.711626i \(0.252041\pi\)
−0.964247 + 0.265006i \(0.914626\pi\)
\(174\) 12.6463 14.4472i 0.958711 1.09524i
\(175\) −12.2246 + 5.05558i −0.924094 + 0.382166i
\(176\) 4.70926 1.28054i 0.354974 0.0965242i
\(177\) 1.74556 6.51451i 0.131204 0.489661i
\(178\) 17.9899 + 8.85098i 1.34840 + 0.663409i
\(179\) 2.97767 + 1.71916i 0.222562 + 0.128496i 0.607136 0.794598i \(-0.292318\pi\)
−0.384574 + 0.923094i \(0.625652\pi\)
\(180\) −6.15319 3.20713i −0.458632 0.239045i
\(181\) 13.8386i 1.02861i 0.857606 + 0.514307i \(0.171951\pi\)
−0.857606 + 0.514307i \(0.828049\pi\)
\(182\) −14.0679 2.09211i −1.04278 0.155078i
\(183\) −6.72329 6.72329i −0.497000 0.497000i
\(184\) −1.07859 + 17.1867i −0.0795144 + 1.26702i
\(185\) −7.68629 + 6.41873i −0.565107 + 0.471914i
\(186\) −19.3607 + 6.59207i −1.41960 + 0.483354i
\(187\) −2.25674 + 8.42228i −0.165029 + 0.615898i
\(188\) −2.58800 + 3.38570i −0.188749 + 0.246928i
\(189\) 5.49833 6.05070i 0.399945 0.440124i
\(190\) −1.55546 + 0.850454i −0.112845 + 0.0616984i
\(191\) 8.93860 5.16070i 0.646774 0.373415i −0.140445 0.990088i \(-0.544853\pi\)
0.787219 + 0.616673i \(0.211520\pi\)
\(192\) 10.4650 + 13.4827i 0.755250 + 0.973030i
\(193\) 1.64764 + 6.14907i 0.118600 + 0.442620i 0.999531 0.0306243i \(-0.00974954\pi\)
−0.880931 + 0.473244i \(0.843083\pi\)
\(194\) −2.74914 + 13.8880i −0.197376 + 0.997098i
\(195\) 7.62477 + 16.4526i 0.546021 + 1.17819i
\(196\) 4.07392 13.3941i 0.290994 0.956725i
\(197\) −3.89089 + 3.89089i −0.277214 + 0.277214i −0.831996 0.554782i \(-0.812802\pi\)
0.554782 + 0.831996i \(0.312802\pi\)
\(198\) −2.22458 + 1.48939i −0.158094 + 0.105847i
\(199\) 1.65845 2.87252i 0.117565 0.203628i −0.801237 0.598347i \(-0.795825\pi\)
0.918802 + 0.394719i \(0.129158\pi\)
\(200\) −7.31306 12.1045i −0.517111 0.855918i
\(201\) 1.61714 + 2.80096i 0.114064 + 0.197565i
\(202\) 0.127693 + 1.92099i 0.00898446 + 0.135161i
\(203\) −0.804352 16.8176i −0.0564545 1.18037i
\(204\) −30.2257 + 4.03619i −2.11622 + 0.282590i
\(205\) −14.9871 + 21.2967i −1.04674 + 1.48742i
\(206\) −2.09692 + 0.713972i −0.146099 + 0.0497448i
\(207\) −2.44495 9.12468i −0.169936 0.634209i
\(208\) −0.0562606 15.2045i −0.00390097 1.05425i
\(209\) 0.683968i 0.0473110i
\(210\) −17.1229 + 5.04152i −1.18159 + 0.347898i
\(211\) −12.7627 −0.878624 −0.439312 0.898335i \(-0.644778\pi\)
−0.439312 + 0.898335i \(0.644778\pi\)
\(212\) −1.00549 + 7.74822i −0.0690575 + 0.532150i
\(213\) −6.76747 + 1.81334i −0.463700 + 0.124248i
\(214\) 8.52075 2.90120i 0.582466 0.198322i
\(215\) −1.95965 11.2691i −0.133647 0.768547i
\(216\) 7.28068 + 4.83562i 0.495388 + 0.329023i
\(217\) −8.21510 + 15.9426i −0.557677 + 1.08225i
\(218\) −3.33224 + 0.221503i −0.225688 + 0.0150020i
\(219\) 6.26178 3.61524i 0.423132 0.244295i
\(220\) −5.45122 + 0.235226i −0.367521 + 0.0158589i
\(221\) 23.5261 + 13.5828i 1.58254 + 0.913679i
\(222\) −11.2278 + 7.51719i −0.753559 + 0.504521i
\(223\) −12.2215 12.2215i −0.818409 0.818409i 0.167468 0.985877i \(-0.446441\pi\)
−0.985877 + 0.167468i \(0.946441\pi\)
\(224\) 14.8119 + 2.14676i 0.989660 + 0.143436i
\(225\) 5.91927 + 5.01464i 0.394618 + 0.334309i
\(226\) −6.89902 1.36567i −0.458916 0.0908428i
\(227\) −24.4859 + 6.56098i −1.62519 + 0.435468i −0.952520 0.304477i \(-0.901518\pi\)
−0.672668 + 0.739945i \(0.734852\pi\)
\(228\) −2.20823 + 0.919471i −0.146244 + 0.0608934i
\(229\) 8.02875 + 13.9062i 0.530555 + 0.918948i 0.999364 + 0.0356488i \(0.0113498\pi\)
−0.468809 + 0.883299i \(0.655317\pi\)
\(230\) 5.41409 18.4762i 0.356995 1.21829i
\(231\) −1.46259 + 6.72962i −0.0962312 + 0.442776i
\(232\) 17.6437 3.56048i 1.15836 0.233757i
\(233\) −4.88494 1.30892i −0.320023 0.0857499i 0.0952316 0.995455i \(-0.469641\pi\)
−0.415255 + 0.909705i \(0.636307\pi\)
\(234\) 2.68834 + 7.89559i 0.175742 + 0.516151i
\(235\) 3.65707 3.05397i 0.238561 0.199219i
\(236\) 5.00883 3.85816i 0.326047 0.251145i
\(237\) 12.9296 12.9296i 0.839870 0.839870i
\(238\) −16.6312 + 20.9392i −1.07804 + 1.35729i
\(239\) 23.6064 1.52697 0.763484 0.645826i \(-0.223487\pi\)
0.763484 + 0.645826i \(0.223487\pi\)
\(240\) −8.08762 17.2834i −0.522054 1.11564i
\(241\) −2.53374 + 4.38856i −0.163212 + 0.282692i −0.936019 0.351949i \(-0.885519\pi\)
0.772807 + 0.634642i \(0.218852\pi\)
\(242\) 5.93816 12.0695i 0.381719 0.775858i
\(243\) −14.2234 3.81114i −0.912430 0.244485i
\(244\) −1.17979 8.83503i −0.0755281 0.565605i
\(245\) −7.74534 + 13.6018i −0.494832 + 0.868989i
\(246\) −23.1437 + 26.4396i −1.47559 + 1.68573i
\(247\) 2.05832 + 0.551525i 0.130968 + 0.0350927i
\(248\) −18.1725 6.11255i −1.15396 0.388147i
\(249\) −24.5444 14.1707i −1.55544 0.898033i
\(250\) 4.99020 + 15.0033i 0.315608 + 0.948890i
\(251\) 21.4708 1.35523 0.677613 0.735418i \(-0.263014\pi\)
0.677613 + 0.735418i \(0.263014\pi\)
\(252\) −8.07670 + 1.47423i −0.508784 + 0.0928678i
\(253\) −5.25255 5.25255i −0.330225 0.330225i
\(254\) 26.2610 + 5.19839i 1.64776 + 0.326176i
\(255\) 33.9565 + 3.05154i 2.12644 + 0.191095i
\(256\) 0.118406 + 15.9996i 0.00740039 + 0.999973i
\(257\) 3.61733 13.5000i 0.225643 0.842110i −0.756503 0.653990i \(-0.773094\pi\)
0.982146 0.188120i \(-0.0602394\pi\)
\(258\) −1.02366 15.3997i −0.0637301 0.958743i
\(259\) −2.51640 + 11.5784i −0.156361 + 0.719445i
\(260\) −3.68777 + 16.5945i −0.228706 + 1.02915i
\(261\) −8.55095 + 4.93689i −0.529290 + 0.305586i
\(262\) 1.15195 2.34138i 0.0711677 0.144651i
\(263\) 12.7070 3.40482i 0.783544 0.209950i 0.155197 0.987883i \(-0.450399\pi\)
0.628347 + 0.777933i \(0.283732\pi\)
\(264\) −7.34776 0.461122i −0.452223 0.0283801i
\(265\) 3.00704 8.20153i 0.184721 0.503816i
\(266\) −0.835020 + 1.92420i −0.0511983 + 0.117980i
\(267\) −21.3871 21.3871i −1.30887 1.30887i
\(268\) −0.390190 + 3.00677i −0.0238347 + 0.183667i
\(269\) −5.93116 + 10.2731i −0.361629 + 0.626360i −0.988229 0.152981i \(-0.951113\pi\)
0.626600 + 0.779341i \(0.284446\pi\)
\(270\) −6.74725 7.06853i −0.410624 0.430177i
\(271\) 14.6441 8.45475i 0.889563 0.513589i 0.0157634 0.999876i \(-0.494982\pi\)
0.873800 + 0.486286i \(0.161649\pi\)
\(272\) −24.8095 14.2016i −1.50430 0.861100i
\(273\) 19.0726 + 9.82800i 1.15433 + 0.594817i
\(274\) −19.0866 16.7073i −1.15307 1.00933i
\(275\) 6.00258 + 1.08764i 0.361969 + 0.0655873i
\(276\) 9.89709 24.0193i 0.595735 1.44579i
\(277\) −5.81102 21.6870i −0.349150 1.30305i −0.887688 0.460445i \(-0.847690\pi\)
0.538538 0.842601i \(-0.318977\pi\)
\(278\) 2.26535 1.51669i 0.135867 0.0909653i
\(279\) 10.5176 0.629673
\(280\) −15.6231 5.99334i −0.933656 0.358171i
\(281\) 0.145469 0.00867794 0.00433897 0.999991i \(-0.498619\pi\)
0.00433897 + 0.999991i \(0.498619\pi\)
\(282\) 5.34208 3.57661i 0.318116 0.212984i
\(283\) 1.25651 + 4.68935i 0.0746916 + 0.278753i 0.993163 0.116734i \(-0.0372425\pi\)
−0.918472 + 0.395487i \(0.870576\pi\)
\(284\) −6.07267 2.50223i −0.360346 0.148480i
\(285\) 2.63481 0.458182i 0.156073 0.0271404i
\(286\) 4.93505 + 4.31985i 0.291816 + 0.255438i
\(287\) 1.47203 + 30.7776i 0.0868911 + 1.81674i
\(288\) −2.85969 8.29808i −0.168509 0.488969i
\(289\) 29.5096 17.0374i 1.73586 1.00220i
\(290\) −20.1184 0.467850i −1.18140 0.0274731i
\(291\) 10.6788 18.4962i 0.626000 1.08426i
\(292\) 6.72186 + 0.872302i 0.393367 + 0.0510476i
\(293\) 16.7470 + 16.7470i 0.978371 + 0.978371i 0.999771 0.0214001i \(-0.00681237\pi\)
−0.0214001 + 0.999771i \(0.506812\pi\)
\(294\) −12.3305 + 17.1468i −0.719130 + 1.00002i
\(295\) −6.41349 + 2.97226i −0.373408 + 0.173052i
\(296\) −12.6419 0.793365i −0.734795 0.0461134i
\(297\) −3.64170 + 0.975791i −0.211313 + 0.0566211i
\(298\) 2.23369 4.54007i 0.129394 0.262999i
\(299\) −20.0424 + 11.5715i −1.15908 + 0.669195i
\(300\) 4.55786 + 20.8419i 0.263148 + 1.20331i
\(301\) −10.0162 9.10179i −0.577322 0.524619i
\(302\) 0.714060 + 10.7422i 0.0410895 + 0.618142i
\(303\) 0.751701 2.80538i 0.0431841 0.161165i
\(304\) −2.16812 0.572357i −0.124350 0.0328269i
\(305\) −0.891971 + 9.92554i −0.0510741 + 0.568335i
\(306\) 15.3831 + 3.04510i 0.879393 + 0.174077i
\(307\) −5.79751 5.79751i −0.330881 0.330881i 0.522040 0.852921i \(-0.325171\pi\)
−0.852921 + 0.522040i \(0.825171\pi\)
\(308\) −4.92054 + 4.17946i −0.280374 + 0.238147i
\(309\) 3.34169 0.190102
\(310\) 18.3100 + 11.1467i 1.03994 + 0.633091i
\(311\) −16.6358 9.60469i −0.943330 0.544632i −0.0523273 0.998630i \(-0.516664\pi\)
−0.891003 + 0.453998i \(0.849997\pi\)
\(312\) −7.31265 + 21.7404i −0.413997 + 1.23081i
\(313\) −22.0511 5.90858i −1.24640 0.333973i −0.425457 0.904979i \(-0.639887\pi\)
−0.820946 + 0.571006i \(0.806553\pi\)
\(314\) −4.91794 + 5.61831i −0.277535 + 0.317060i
\(315\) 9.17119 + 0.383891i 0.516738 + 0.0216298i
\(316\) 16.9908 2.26886i 0.955805 0.127634i
\(317\) 15.3110 + 4.10257i 0.859952 + 0.230423i 0.661738 0.749735i \(-0.269819\pi\)
0.198214 + 0.980159i \(0.436486\pi\)
\(318\) 5.20337 10.5760i 0.291790 0.593075i
\(319\) −3.88208 + 6.72396i −0.217355 + 0.376470i
\(320\) 3.81603 17.4768i 0.213323 0.976982i
\(321\) −13.5788 −0.757896
\(322\) −8.36439 21.1895i −0.466129 1.18084i
\(323\) 2.83296 2.83296i 0.157630 0.157630i
\(324\) −13.7269 17.8209i −0.762605 0.990048i
\(325\) 8.11338 17.1870i 0.450050 0.953365i
\(326\) −1.95164 5.73191i −0.108091 0.317461i
\(327\) 4.86635 + 1.30393i 0.269110 + 0.0721077i
\(328\) −32.2893 + 6.51595i −1.78288 + 0.359783i
\(329\) 1.19728 5.50888i 0.0660081 0.303715i
\(330\) 7.89906 + 2.31466i 0.434829 + 0.127418i
\(331\) −17.3136 29.9880i −0.951641 1.64829i −0.741875 0.670538i \(-0.766063\pi\)
−0.209766 0.977752i \(-0.567270\pi\)
\(332\) −10.2128 24.5275i −0.560501 1.34612i
\(333\) 6.71175 1.79841i 0.367802 0.0985522i
\(334\) −24.6586 4.88118i −1.34926 0.267086i
\(335\) 1.16691 3.18268i 0.0637551 0.173888i
\(336\) −20.1084 10.2678i −1.09701 0.560152i
\(337\) 18.8495 + 18.8495i 1.02680 + 1.02680i 0.999631 + 0.0271651i \(0.00864798\pi\)
0.0271651 + 0.999631i \(0.491352\pi\)
\(338\) 1.70260 1.13992i 0.0926094 0.0620036i
\(339\) 9.18819 + 5.30480i 0.499034 + 0.288117i
\(340\) 23.5530 + 21.6044i 1.27734 + 1.17166i
\(341\) 7.16240 4.13521i 0.387866 0.223934i
\(342\) 1.22739 0.0815877i 0.0663696 0.00441176i
\(343\) 2.64625 + 18.3302i 0.142884 + 0.989739i
\(344\) 8.00476 12.0522i 0.431588 0.649814i
\(345\) −16.7155 + 23.7527i −0.899930 + 1.27880i
\(346\) 17.8036 6.06186i 0.957125 0.325888i
\(347\) 20.9957 5.62578i 1.12711 0.302008i 0.353352 0.935491i \(-0.385042\pi\)
0.773757 + 0.633483i \(0.218375\pi\)
\(348\) −26.9275 3.49440i −1.44347 0.187320i
\(349\) −14.2086 −0.760570 −0.380285 0.924869i \(-0.624174\pi\)
−0.380285 + 0.924869i \(0.624174\pi\)
\(350\) 15.5592 + 10.3881i 0.831673 + 0.555266i
\(351\) 11.7461i 0.626961i
\(352\) −5.20999 4.52658i −0.277693 0.241267i
\(353\) 6.17845 + 23.0583i 0.328846 + 1.22727i 0.910389 + 0.413754i \(0.135782\pi\)
−0.581543 + 0.813516i \(0.697551\pi\)
\(354\) −9.02889 + 3.07421i −0.479880 + 0.163393i
\(355\) 6.00527 + 4.22608i 0.318727 + 0.224297i
\(356\) −3.75296 28.1046i −0.198906 1.48954i
\(357\) 33.9318 21.8158i 1.79586 1.15462i
\(358\) −0.322512 4.85181i −0.0170453 0.256426i
\(359\) 4.67903 + 8.10432i 0.246950 + 0.427730i 0.962678 0.270649i \(-0.0872384\pi\)
−0.715728 + 0.698379i \(0.753905\pi\)
\(360\) 1.07237 + 9.75423i 0.0565189 + 0.514093i
\(361\) −9.34286 + 16.1823i −0.491730 + 0.851701i
\(362\) 16.2624 10.8880i 0.854733 0.572259i
\(363\) −14.3487 + 14.3487i −0.753111 + 0.753111i
\(364\) 8.60986 + 18.1779i 0.451279 + 0.952783i
\(365\) −7.11513 2.60872i −0.372423 0.136547i
\(366\) −2.61109 + 13.1906i −0.136484 + 0.689485i
\(367\) 1.55754 + 5.81283i 0.0813030 + 0.303427i 0.994588 0.103893i \(-0.0331300\pi\)
−0.913285 + 0.407320i \(0.866463\pi\)
\(368\) 21.0456 12.2547i 1.09708 0.638822i
\(369\) 15.6489 9.03490i 0.814649 0.470338i
\(370\) 13.5904 + 3.98239i 0.706531 + 0.207035i
\(371\) −3.14902 9.84449i −0.163489 0.511101i
\(372\) 22.9794 + 17.5652i 1.19142 + 0.910714i
\(373\) −1.24477 + 4.64553i −0.0644515 + 0.240536i −0.990635 0.136537i \(-0.956403\pi\)
0.926183 + 0.377073i \(0.123069\pi\)
\(374\) 11.6730 3.97450i 0.603596 0.205516i
\(375\) 0.168805 23.8520i 0.00871705 1.23171i
\(376\) 6.01490 + 0.377476i 0.310195 + 0.0194668i
\(377\) 17.1046 + 17.1046i 0.880933 + 0.880933i
\(378\) −11.4365 1.70077i −0.588228 0.0874783i
\(379\) 22.3416i 1.14761i 0.818992 + 0.573805i \(0.194533\pi\)
−0.818992 + 0.573805i \(0.805467\pi\)
\(380\) 2.22322 + 1.15877i 0.114049 + 0.0594437i
\(381\) −34.9747 20.1926i −1.79181 1.03450i
\(382\) −13.0973 6.44383i −0.670117 0.329695i
\(383\) 5.12236 19.1169i 0.261740 0.976828i −0.702475 0.711708i \(-0.747922\pi\)
0.964215 0.265120i \(-0.0854115\pi\)
\(384\) 7.61046 22.9059i 0.388370 1.16891i
\(385\) 6.39644 3.34442i 0.325993 0.170447i
\(386\) 5.92974 6.77420i 0.301816 0.344798i
\(387\) −2.05420 + 7.66636i −0.104421 + 0.389703i
\(388\) 18.4834 7.69617i 0.938352 0.390714i
\(389\) −6.97791 + 12.0861i −0.353794 + 0.612789i −0.986911 0.161267i \(-0.948442\pi\)
0.633117 + 0.774056i \(0.281775\pi\)
\(390\) 13.3352 21.9048i 0.675254 1.10919i
\(391\) 43.5116i 2.20048i
\(392\) −18.9454 + 5.75082i −0.956887 + 0.290460i
\(393\) −2.78352 + 2.78352i −0.140410 + 0.140410i
\(394\) 7.63366 + 1.51109i 0.384578 + 0.0761276i
\(395\) −19.0879 1.71536i −0.960419 0.0863092i
\(396\) 3.50051 + 1.44238i 0.175907 + 0.0724823i
\(397\) −35.8563 9.60768i −1.79958 0.482195i −0.805666 0.592371i \(-0.798192\pi\)
−0.993912 + 0.110175i \(0.964859\pi\)
\(398\) −4.68048 + 0.311124i −0.234611 + 0.0155952i
\(399\) 2.12807 2.34186i 0.106537 0.117240i
\(400\) −8.47081 + 18.1175i −0.423540 + 0.905877i
\(401\) 5.22042 + 9.04204i 0.260696 + 0.451538i 0.966427 0.256942i \(-0.0827148\pi\)
−0.705731 + 0.708480i \(0.749381\pi\)
\(402\) 2.01921 4.10412i 0.100709 0.204695i
\(403\) −6.66896 24.8889i −0.332204 1.23980i
\(404\) 2.15698 1.66146i 0.107314 0.0826608i
\(405\) 10.5750 + 22.8185i 0.525475 + 1.13386i
\(406\) −19.1304 + 14.1770i −0.949424 + 0.703595i
\(407\) 3.86356 3.86356i 0.191510 0.191510i
\(408\) 28.5242 + 32.3441i 1.41216 + 1.60127i
\(409\) −13.0105 7.51159i −0.643326 0.371424i 0.142569 0.989785i \(-0.454464\pi\)
−0.785894 + 0.618361i \(0.787797\pi\)
\(410\) 36.8183 + 0.856202i 1.81833 + 0.0422848i
\(411\) 19.1332 + 33.1397i 0.943771 + 1.63466i
\(412\) 2.48884 + 1.90245i 0.122616 + 0.0937270i
\(413\) −3.83112 + 7.43482i −0.188517 + 0.365844i
\(414\) −8.79921 + 10.0523i −0.432457 + 0.494044i
\(415\) 5.08916 + 29.2656i 0.249817 + 1.43659i
\(416\) −17.8233 + 12.0288i −0.873861 + 0.589760i
\(417\) −3.97254 + 1.06444i −0.194536 + 0.0521257i
\(418\) 0.803764 0.538134i 0.0393134 0.0263210i
\(419\) 36.9931i 1.80723i −0.428343 0.903616i \(-0.640903\pi\)
0.428343 0.903616i \(-0.359097\pi\)
\(420\) 19.3965 + 16.1553i 0.946453 + 0.788300i
\(421\) 3.40862i 0.166126i 0.996544 + 0.0830630i \(0.0264703\pi\)
−0.996544 + 0.0830630i \(0.973530\pi\)
\(422\) 10.0415 + 14.9981i 0.488813 + 0.730097i
\(423\) −3.19339 + 0.855667i −0.155268 + 0.0416039i
\(424\) 9.89641 4.91456i 0.480612 0.238672i
\(425\) −20.3575 29.3674i −0.987482 1.42453i
\(426\) 7.45547 + 6.52608i 0.361219 + 0.316190i
\(427\) 6.37681 + 9.91832i 0.308595 + 0.479981i
\(428\) −10.1133 7.73053i −0.488845 0.373669i
\(429\) −4.94709 8.56861i −0.238848 0.413697i
\(430\) −11.7011 + 11.1692i −0.564275 + 0.538627i
\(431\) −29.1474 16.8283i −1.40398 0.810588i −0.409182 0.912453i \(-0.634186\pi\)
−0.994798 + 0.101865i \(0.967519\pi\)
\(432\) −0.0457368 12.3605i −0.00220051 0.594693i
\(433\) 0.589554 0.589554i 0.0283322 0.0283322i −0.692799 0.721131i \(-0.743623\pi\)
0.721131 + 0.692799i \(0.243623\pi\)
\(434\) 25.1984 2.88937i 1.20956 0.138694i
\(435\) 28.5029 + 10.4504i 1.36661 + 0.501059i
\(436\) 2.88205 + 3.74160i 0.138025 + 0.179190i
\(437\) 0.883387 + 3.29685i 0.0422581 + 0.157710i
\(438\) −9.17509 4.51411i −0.438403 0.215692i
\(439\) 0.500595 + 0.867056i 0.0238921 + 0.0413823i 0.877724 0.479166i \(-0.159061\pi\)
−0.853832 + 0.520548i \(0.825728\pi\)
\(440\) 4.56535 + 6.22092i 0.217645 + 0.296571i
\(441\) 8.84469 6.30339i 0.421176 0.300161i
\(442\) −2.54812 38.3334i −0.121202 1.82333i
\(443\) 38.3356 + 10.2720i 1.82138 + 0.488037i 0.996958 0.0779427i \(-0.0248351\pi\)
0.824419 + 0.565979i \(0.191502\pi\)
\(444\) 17.6676 + 7.27991i 0.838469 + 0.345489i
\(445\) −2.83740 + 31.5736i −0.134506 + 1.49673i
\(446\) −4.74640 + 23.9776i −0.224748 + 1.13537i
\(447\) −5.39739 + 5.39739i −0.255288 + 0.255288i
\(448\) −9.13096 19.0952i −0.431397 0.902162i
\(449\) 13.6632i 0.644807i −0.946602 0.322404i \(-0.895509\pi\)
0.946602 0.322404i \(-0.104491\pi\)
\(450\) 1.23577 10.9014i 0.0582545 0.513899i
\(451\) 7.10451 12.3054i 0.334538 0.579438i
\(452\) 3.82316 + 9.18185i 0.179827 + 0.431878i
\(453\) 4.20350 15.6877i 0.197498 0.737072i
\(454\) 26.9752 + 23.6125i 1.26601 + 1.10819i
\(455\) −4.90679 21.9461i −0.230034 1.02885i
\(456\) 2.81791 + 1.87158i 0.131961 + 0.0876447i
\(457\) 6.59076 24.5971i 0.308303 1.15060i −0.621762 0.783206i \(-0.713583\pi\)
0.930065 0.367395i \(-0.119750\pi\)
\(458\) 10.0250 20.3761i 0.468436 0.952114i
\(459\) 19.1255 + 11.0421i 0.892700 + 0.515400i
\(460\) −25.9720 + 8.17443i −1.21095 + 0.381135i
\(461\) 26.8660i 1.25127i −0.780114 0.625637i \(-0.784839\pi\)
0.780114 0.625637i \(-0.215161\pi\)
\(462\) 9.05904 3.57599i 0.421465 0.166370i
\(463\) −21.2847 21.2847i −0.989182 0.989182i 0.0107599 0.999942i \(-0.496575\pi\)
−0.999942 + 0.0107599i \(0.996575\pi\)
\(464\) −18.0658 17.9326i −0.838685 0.832501i
\(465\) −20.7279 24.8212i −0.961231 1.15105i
\(466\) 2.30521 + 6.77036i 0.106787 + 0.313631i
\(467\) 1.42495 5.31797i 0.0659386 0.246086i −0.925088 0.379754i \(-0.876009\pi\)
0.991026 + 0.133667i \(0.0426754\pi\)
\(468\) 7.16335 9.37131i 0.331126 0.433189i
\(469\) −1.22201 3.82024i −0.0564270 0.176402i
\(470\) −6.46619 1.89479i −0.298263 0.0874000i
\(471\) 9.75494 5.63202i 0.449484 0.259510i
\(472\) −8.47476 2.85059i −0.390083 0.131209i
\(473\) 1.61530 + 6.02838i 0.0742715 + 0.277185i
\(474\) −25.3671 5.02143i −1.16515 0.230642i
\(475\) −2.13870 1.81184i −0.0981301 0.0831331i
\(476\) 37.6918 + 3.06952i 1.72760 + 0.140691i
\(477\) −4.28603 + 4.28603i −0.196244 + 0.196244i
\(478\) −18.5731 27.7410i −0.849512 1.26884i
\(479\) 3.54516 6.14040i 0.161982 0.280562i −0.773597 0.633678i \(-0.781545\pi\)
0.935580 + 0.353116i \(0.114878\pi\)
\(480\) −13.9474 + 23.1024i −0.636607 + 1.05448i
\(481\) −8.51151 14.7424i −0.388092 0.672194i
\(482\) 7.15071 0.475326i 0.325706 0.0216505i
\(483\) 1.64179 + 34.3270i 0.0747040 + 1.56193i
\(484\) −18.8555 + 2.51787i −0.857069 + 0.114449i
\(485\) −22.0539 + 3.83508i −1.00142 + 0.174142i
\(486\) 6.71205 + 19.7131i 0.304465 + 0.894205i
\(487\) −2.64599 9.87498i −0.119901 0.447478i 0.879705 0.475519i \(-0.157740\pi\)
−0.999607 + 0.0280412i \(0.991073\pi\)
\(488\) −9.45423 + 8.33767i −0.427973 + 0.377429i
\(489\) 9.13447i 0.413075i
\(490\) 22.0781 1.59975i 0.997385 0.0722694i
\(491\) −34.3585 −1.55058 −0.775289 0.631607i \(-0.782396\pi\)
−0.775289 + 0.631607i \(0.782396\pi\)
\(492\) 49.2794 + 6.39503i 2.22169 + 0.288310i
\(493\) 43.9298 11.7709i 1.97850 0.530137i
\(494\) −0.971327 2.85276i −0.0437020 0.128352i
\(495\) −3.46166 2.43607i −0.155590 0.109493i
\(496\) 7.11467 + 26.1647i 0.319458 + 1.17483i
\(497\) 8.67870 0.415085i 0.389293 0.0186191i
\(498\) 2.65841 + 39.9926i 0.119126 + 1.79211i
\(499\) 0.357189 0.206223i 0.0159900 0.00923182i −0.491984 0.870604i \(-0.663728\pi\)
0.507974 + 0.861373i \(0.330395\pi\)
\(500\) 13.7049 17.6685i 0.612900 0.790161i
\(501\) 32.8405 + 18.9605i 1.46721 + 0.847093i
\(502\) −16.8929 25.2314i −0.753966 1.12613i
\(503\) −12.5786 12.5786i −0.560851 0.560851i 0.368698 0.929549i \(-0.379804\pi\)
−0.929549 + 0.368698i \(0.879804\pi\)
\(504\) 8.08705 + 8.33142i 0.360226 + 0.371111i
\(505\) −2.76188 + 1.27996i −0.122902 + 0.0569576i
\(506\) −2.03991 + 10.3051i −0.0906850 + 0.458119i
\(507\) −2.98569 + 0.800014i −0.132599 + 0.0355299i
\(508\) −14.5528 34.9506i −0.645677 1.55068i
\(509\) −8.97397 15.5434i −0.397764 0.688948i 0.595685 0.803218i \(-0.296880\pi\)
−0.993450 + 0.114270i \(0.963547\pi\)
\(510\) −23.1303 42.3048i −1.02423 1.87329i
\(511\) −8.54046 + 2.73189i −0.377808 + 0.120852i
\(512\) 18.7087 12.7273i 0.826815 0.562473i
\(513\) 1.67330 + 0.448360i 0.0738781 + 0.0197956i
\(514\) −18.7106 + 6.37070i −0.825289 + 0.281000i
\(515\) −2.24499 2.68832i −0.0989259 0.118462i
\(516\) −17.2915 + 13.3192i −0.761217 + 0.586343i
\(517\) −1.83825 + 1.83825i −0.0808461 + 0.0808461i
\(518\) 15.5862 6.15252i 0.684816 0.270326i
\(519\) −28.3721 −1.24540
\(520\) 22.4025 8.72258i 0.982413 0.382510i
\(521\) 14.4349 25.0020i 0.632406 1.09536i −0.354653 0.934998i \(-0.615401\pi\)
0.987059 0.160361i \(-0.0512657\pi\)
\(522\) 12.5293 + 6.16437i 0.548393 + 0.269807i
\(523\) 26.6576 + 7.14289i 1.16566 + 0.312337i 0.789223 0.614107i \(-0.210484\pi\)
0.376433 + 0.926444i \(0.377150\pi\)
\(524\) −3.65780 + 0.488445i −0.159792 + 0.0213378i
\(525\) −17.1684 22.4002i −0.749290 0.977627i
\(526\) −13.9988 12.2537i −0.610375 0.534287i
\(527\) −46.7942 12.5385i −2.03839 0.546184i
\(528\) 5.23920 + 8.99751i 0.228007 + 0.391566i
\(529\) −12.1836 7.03421i −0.529722 0.305835i
\(530\) −12.0039 + 2.91910i −0.521416 + 0.126798i
\(531\) 4.90489 0.212854
\(532\) 2.91820 0.532656i 0.126520 0.0230936i
\(533\) −31.3028 31.3028i −1.35587 1.35587i
\(534\) −8.30602 + 41.9600i −0.359437 + 1.81579i
\(535\) 9.12242 + 10.9239i 0.394397 + 0.472282i
\(536\) 3.84039 1.90714i 0.165880 0.0823759i
\(537\) −1.89856 + 7.08551i −0.0819287 + 0.305762i
\(538\) 16.7389 1.11268i 0.721666 0.0479710i
\(539\) 3.54485 7.77003i 0.152688 0.334679i
\(540\) −2.99796 + 13.4904i −0.129011 + 0.580535i
\(541\) 38.5562 22.2604i 1.65766 0.957050i 0.683868 0.729606i \(-0.260297\pi\)
0.973791 0.227444i \(-0.0730368\pi\)
\(542\) −21.4573 10.5569i −0.921669 0.453457i
\(543\) −28.5178 + 7.64133i −1.22382 + 0.327921i
\(544\) 2.83065 + 40.3284i 0.121363 + 1.72907i
\(545\) −2.22028 4.79089i −0.0951064 0.205219i
\(546\) −3.45665 30.1457i −0.147931 1.29011i
\(547\) 8.11252 + 8.11252i 0.346866 + 0.346866i 0.858941 0.512075i \(-0.171123\pi\)
−0.512075 + 0.858941i \(0.671123\pi\)
\(548\) −4.61655 + 35.5746i −0.197209 + 1.51967i
\(549\) 3.45746 5.98850i 0.147561 0.255583i
\(550\) −3.44458 7.90966i −0.146878 0.337269i
\(551\) 3.08955 1.78375i 0.131619 0.0759904i
\(552\) −36.0131 + 7.26740i −1.53282 + 0.309321i
\(553\) −19.0741 + 12.2633i −0.811112 + 0.521490i
\(554\) −20.9134 + 23.8918i −0.888527 + 1.01506i
\(555\) −17.4715 12.2952i −0.741626 0.521904i
\(556\) −3.56468 1.46882i −0.151176 0.0622918i
\(557\) 12.0647 + 45.0261i 0.511198 + 1.90782i 0.407491 + 0.913209i \(0.366404\pi\)
0.103707 + 0.994608i \(0.466929\pi\)
\(558\) −8.27507 12.3597i −0.350311 0.523230i
\(559\) 19.4442 0.822402
\(560\) 5.24887 + 23.0749i 0.221805 + 0.975091i
\(561\) −18.6023 −0.785390
\(562\) −0.114452 0.170947i −0.00482788 0.00721098i
\(563\) −0.0243700 0.0909503i −0.00102708 0.00383310i 0.965410 0.260735i \(-0.0839649\pi\)
−0.966437 + 0.256902i \(0.917298\pi\)
\(564\) −8.40610 3.46372i −0.353961 0.145849i
\(565\) −1.90512 10.9556i −0.0801491 0.460904i
\(566\) 4.52208 5.16608i 0.190077 0.217146i
\(567\) 26.4523 + 13.6307i 1.11089 + 0.572435i
\(568\) 1.83738 + 9.10499i 0.0770946 + 0.382037i
\(569\) −28.1511 + 16.2530i −1.18015 + 0.681362i −0.956050 0.293203i \(-0.905279\pi\)
−0.224104 + 0.974565i \(0.571946\pi\)
\(570\) −2.61145 2.73580i −0.109382 0.114590i
\(571\) −16.0239 + 27.7543i −0.670581 + 1.16148i 0.307159 + 0.951658i \(0.400622\pi\)
−0.977740 + 0.209822i \(0.932712\pi\)
\(572\) 1.19366 9.19820i 0.0499093 0.384596i
\(573\) 15.5706 + 15.5706i 0.650470 + 0.650470i
\(574\) 35.0100 25.9451i 1.46129 1.08293i
\(575\) 30.3383 2.51008i 1.26519 0.104678i
\(576\) −7.50152 + 9.88934i −0.312563 + 0.412056i
\(577\) 17.8613 4.78592i 0.743575 0.199240i 0.132909 0.991128i \(-0.457568\pi\)
0.610666 + 0.791888i \(0.290902\pi\)
\(578\) −43.2391 21.2735i −1.79851 0.884860i
\(579\) −11.7619 + 6.79073i −0.488807 + 0.282213i
\(580\) 15.2790 + 24.0103i 0.634428 + 0.996972i
\(581\) 26.0117 + 23.6371i 1.07915 + 0.980633i
\(582\) −30.1376 + 2.00332i −1.24924 + 0.0830404i
\(583\) −1.23361 + 4.60389i −0.0510909 + 0.190674i
\(584\) −4.26356 8.58550i −0.176427 0.355270i
\(585\) −10.1224 + 8.45312i −0.418511 + 0.349493i
\(586\) 6.50397 32.8565i 0.268676 1.35729i
\(587\) −18.9466 18.9466i −0.782009 0.782009i 0.198160 0.980170i \(-0.436503\pi\)
−0.980170 + 0.198160i \(0.936503\pi\)
\(588\) 29.8515 + 0.999398i 1.23105 + 0.0412145i
\(589\) −3.80013 −0.156581
\(590\) 8.53887 + 5.19828i 0.351540 + 0.214010i
\(591\) −10.1666 5.86968i −0.418198 0.241446i
\(592\) 9.01409 + 15.4803i 0.370477 + 0.636236i
\(593\) 23.4968 + 6.29594i 0.964896 + 0.258543i 0.706671 0.707542i \(-0.250196\pi\)
0.258225 + 0.966085i \(0.416863\pi\)
\(594\) 4.01193 + 3.51180i 0.164611 + 0.144091i
\(595\) −40.3462 12.6413i −1.65403 0.518244i
\(596\) −7.09268 + 0.947122i −0.290528 + 0.0387956i
\(597\) 6.83530 + 1.83151i 0.279750 + 0.0749588i
\(598\) 29.3672 + 14.4485i 1.20091 + 0.590844i
\(599\) 0.694948 1.20369i 0.0283948 0.0491813i −0.851479 0.524389i \(-0.824294\pi\)
0.879874 + 0.475208i \(0.157627\pi\)
\(600\) 20.9062 21.7542i 0.853493 0.888110i
\(601\) −8.47901 −0.345866 −0.172933 0.984934i \(-0.555324\pi\)
−0.172933 + 0.984934i \(0.555324\pi\)
\(602\) −2.81541 + 18.9316i −0.114748 + 0.771595i
\(603\) −1.66323 + 1.66323i −0.0677320 + 0.0677320i
\(604\) 12.0618 9.29088i 0.490789 0.378040i
\(605\) 21.1829 + 1.90362i 0.861206 + 0.0773933i
\(606\) −3.88817 + 1.32387i −0.157946 + 0.0537784i
\(607\) 0.679222 + 0.181997i 0.0275688 + 0.00738702i 0.272577 0.962134i \(-0.412124\pi\)
−0.245008 + 0.969521i \(0.578791\pi\)
\(608\) 1.03324 + 2.99819i 0.0419033 + 0.121593i
\(609\) 34.2127 10.9438i 1.38637 0.443467i
\(610\) 12.3658 6.76104i 0.500675 0.273747i
\(611\) 4.04970 + 7.01429i 0.163833 + 0.283768i
\(612\) −8.52471 20.4732i −0.344591 0.827582i
\(613\) −22.1083 + 5.92389i −0.892945 + 0.239264i −0.675984 0.736917i \(-0.736281\pi\)
−0.216961 + 0.976180i \(0.569614\pi\)
\(614\) −2.25155 + 11.3743i −0.0908653 + 0.459030i
\(615\) −52.1625 19.1251i −2.10340 0.771198i
\(616\) 8.78288 + 2.49404i 0.353872 + 0.100488i
\(617\) 19.8493 + 19.8493i 0.799104 + 0.799104i 0.982954 0.183851i \(-0.0588563\pi\)
−0.183851 + 0.982954i \(0.558856\pi\)
\(618\) −2.62918 3.92698i −0.105761 0.157966i
\(619\) 23.9394 + 13.8214i 0.962206 + 0.555530i 0.896851 0.442332i \(-0.145849\pi\)
0.0653547 + 0.997862i \(0.479182\pi\)
\(620\) −1.30692 30.2870i −0.0524870 1.21635i
\(621\) −16.2934 + 9.40697i −0.653830 + 0.377489i
\(622\) 1.80183 + 27.1063i 0.0722467 + 1.08686i
\(623\) 20.2849 + 31.5507i 0.812698 + 1.26405i
\(624\) 31.3016 8.51151i 1.25307 0.340733i
\(625\) −19.3019 + 15.8883i −0.772076 + 0.635531i
\(626\) 10.4060 + 30.5621i 0.415906 + 1.22151i
\(627\) −1.40948 + 0.377670i −0.0562894 + 0.0150827i
\(628\) 10.4717 + 1.35892i 0.417866 + 0.0542268i
\(629\) −32.0054 −1.27614
\(630\) −6.76460 11.0795i −0.269508 0.441420i
\(631\) 1.78163i 0.0709256i 0.999371 + 0.0354628i \(0.0112905\pi\)
−0.999371 + 0.0354628i \(0.988709\pi\)
\(632\) −16.0343 18.1816i −0.637810 0.723224i
\(633\) −7.04727 26.3008i −0.280104 1.04536i
\(634\) −7.22530 21.2205i −0.286953 0.842775i
\(635\) 7.25182 + 41.7021i 0.287780 + 1.65490i
\(636\) −16.5223 + 2.20631i −0.655153 + 0.0874859i
\(637\) −20.5246 16.9333i −0.813212 0.670921i
\(638\) 10.9560 0.728274i 0.433752 0.0288326i
\(639\) −2.54767 4.41270i −0.100784 0.174564i
\(640\) −23.5402 + 9.26602i −0.930508 + 0.366271i
\(641\) 11.0691 19.1723i 0.437205 0.757261i −0.560268 0.828311i \(-0.689302\pi\)
0.997473 + 0.0710506i \(0.0226352\pi\)
\(642\) 10.6836 + 15.9571i 0.421647 + 0.629778i
\(643\) 33.1936 33.1936i 1.30903 1.30903i 0.386911 0.922117i \(-0.373542\pi\)
0.922117 0.386911i \(-0.126458\pi\)
\(644\) −18.3198 + 26.5009i −0.721903 + 1.04428i
\(645\) 22.1407 10.2609i 0.871789 0.404021i
\(646\) −5.55808 1.10023i −0.218680 0.0432879i
\(647\) −1.16124 4.33380i −0.0456530 0.170379i 0.939335 0.343000i \(-0.111443\pi\)
−0.984988 + 0.172621i \(0.944776\pi\)
\(648\) −10.1421 + 30.1523i −0.398419 + 1.18449i
\(649\) 3.34019 1.92846i 0.131114 0.0756986i
\(650\) −26.5808 + 3.98802i −1.04258 + 0.156423i
\(651\) −37.3898 8.12614i −1.46542 0.318489i
\(652\) −5.20033 + 6.80322i −0.203661 + 0.266435i
\(653\) 4.31650 16.1094i 0.168918 0.630409i −0.828590 0.559855i \(-0.810857\pi\)
0.997508 0.0705538i \(-0.0224766\pi\)
\(654\) −2.29644 6.74459i −0.0897980 0.263734i
\(655\) 4.10929 + 0.369286i 0.160563 + 0.0144292i
\(656\) 33.0619 + 32.8181i 1.29085 + 1.28133i
\(657\) 3.71829 + 3.71829i 0.145064 + 0.145064i
\(658\) −7.41575 + 2.92731i −0.289096 + 0.114119i
\(659\) 24.1916i 0.942371i −0.882034 0.471185i \(-0.843826\pi\)
0.882034 0.471185i \(-0.156174\pi\)
\(660\) −3.49477 11.1037i −0.136034 0.432211i
\(661\) −1.52079 0.878031i −0.0591520 0.0341515i 0.470132 0.882596i \(-0.344206\pi\)
−0.529284 + 0.848444i \(0.677540\pi\)
\(662\) −21.6183 + 43.9401i −0.840220 + 1.70778i
\(663\) −15.0002 + 55.9815i −0.582559 + 2.17414i
\(664\) −20.7882 + 31.2994i −0.806737 + 1.21465i
\(665\) −3.31365 0.138704i −0.128498 0.00537871i
\(666\) −7.39408 6.47235i −0.286515 0.250798i
\(667\) −10.0279 + 37.4246i −0.388282 + 1.44909i
\(668\) 13.6648 + 32.8179i 0.528707 + 1.26976i
\(669\) 18.4369 31.9337i 0.712813 1.23463i
\(670\) −4.65822 + 1.13278i −0.179963 + 0.0437632i
\(671\) 5.43749i 0.209912i
\(672\) 3.75482 + 31.7089i 0.144845 + 1.22320i
\(673\) 22.3958 22.3958i 0.863296 0.863296i −0.128424 0.991719i \(-0.540992\pi\)
0.991719 + 0.128424i \(0.0409917\pi\)
\(674\) 7.32049 36.9814i 0.281975 1.42447i
\(675\) 6.59574 13.9721i 0.253870 0.537787i
\(676\) −2.67916 1.10394i −0.103044 0.0424592i
\(677\) −22.6386 6.06600i −0.870073 0.233135i −0.203954 0.978980i \(-0.565379\pi\)
−0.666120 + 0.745845i \(0.732046\pi\)
\(678\) −0.995174 14.9712i −0.0382194 0.574966i
\(679\) −17.8124 + 19.6019i −0.683579 + 0.752251i
\(680\) 6.85731 44.6763i 0.262966 1.71326i
\(681\) −27.0410 46.8364i −1.03621 1.79478i
\(682\) −10.4947 5.16337i −0.401864 0.197716i
\(683\) 7.13026 + 26.6105i 0.272832 + 1.01822i 0.957280 + 0.289161i \(0.0933764\pi\)
−0.684448 + 0.729061i \(0.739957\pi\)
\(684\) −1.06157 1.37817i −0.0405900 0.0526957i
\(685\) 13.8063 37.6559i 0.527513 1.43876i
\(686\) 19.4587 17.5316i 0.742937 0.669361i
\(687\) −24.2239 + 24.2239i −0.924199 + 0.924199i
\(688\) −20.4612 + 0.0757114i −0.780075 + 0.00288647i
\(689\) 12.8601 + 7.42480i 0.489932 + 0.282862i
\(690\) 41.0644 + 0.954943i 1.56329 + 0.0363541i
\(691\) −10.5132 18.2094i −0.399942 0.692719i 0.593777 0.804630i \(-0.297636\pi\)
−0.993718 + 0.111911i \(0.964303\pi\)
\(692\) −21.1311 16.1524i −0.803284 0.614024i
\(693\) −5.00273 + 0.239270i −0.190038 + 0.00908913i
\(694\) −23.1302 20.2468i −0.878010 0.768558i
\(695\) 3.52512 + 2.48073i 0.133715 + 0.0940994i
\(696\) 17.0796 + 34.3931i 0.647402 + 1.30367i
\(697\) −80.3949 + 21.5418i −3.04517 + 0.815952i
\(698\) 11.1791 + 16.6972i 0.423135 + 0.631999i
\(699\) 10.7894i 0.408091i
\(700\) −0.0341397 26.4575i −0.00129036 0.999999i
\(701\) 8.80433i 0.332535i −0.986081 0.166267i \(-0.946829\pi\)
0.986081 0.166267i \(-0.0531715\pi\)
\(702\) 13.8034 9.24164i 0.520977 0.348803i
\(703\) −2.42503 + 0.649785i −0.0914617 + 0.0245071i
\(704\) −1.22027 + 9.68394i −0.0459908 + 0.364977i
\(705\) 8.31281 + 5.84996i 0.313078 + 0.220322i
\(706\) 22.2358 25.4025i 0.836856 0.956034i
\(707\) −1.64982 + 3.20170i −0.0620477 + 0.120412i
\(708\) 10.7164 + 8.19155i 0.402748 + 0.307857i
\(709\) 5.43606 + 9.41553i 0.204155 + 0.353607i 0.949863 0.312666i \(-0.101222\pi\)
−0.745708 + 0.666273i \(0.767889\pi\)
\(710\) 0.241433 10.3821i 0.00906082 0.389633i
\(711\) 11.5166 + 6.64910i 0.431905 + 0.249361i
\(712\) −30.0744 + 26.5225i −1.12708 + 0.993973i
\(713\) 29.1831 29.1831i 1.09292 1.09292i
\(714\) −52.3337 22.7106i −1.95854 0.849921i
\(715\) −3.56977 + 9.73634i −0.133502 + 0.364119i
\(716\) −5.44785 + 4.19632i −0.203596 + 0.156824i
\(717\) 13.0348 + 48.6467i 0.486795 + 1.81674i
\(718\) 5.84240 11.8749i 0.218036 0.443167i
\(719\) 2.30066 + 3.98487i 0.0858003 + 0.148611i 0.905732 0.423851i \(-0.139322\pi\)
−0.819932 + 0.572461i \(0.805989\pi\)
\(720\) 10.6189 8.93465i 0.395745 0.332975i
\(721\) −4.04960 0.880124i −0.150815 0.0327775i
\(722\) 26.3674 1.75271i 0.981294 0.0652291i
\(723\) −10.4428 2.79814i −0.388371 0.104064i
\(724\) −25.5899 10.5443i −0.951043 0.391875i
\(725\) −10.7414 29.9508i −0.398927 1.11234i
\(726\) 28.1511 + 5.57254i 1.04479 + 0.206816i
\(727\) 7.56189 7.56189i 0.280455 0.280455i −0.552836 0.833290i \(-0.686454\pi\)
0.833290 + 0.552836i \(0.186454\pi\)
\(728\) 14.5877 24.4200i 0.540656 0.905064i
\(729\) 2.32683i 0.0861788i
\(730\) 2.53243 + 10.4138i 0.0937293 + 0.385433i
\(731\) 18.2788 31.6598i 0.676065 1.17098i
\(732\) 17.5553 7.30972i 0.648862 0.270175i
\(733\) −6.89100 + 25.7175i −0.254525 + 0.949899i 0.713829 + 0.700320i \(0.246959\pi\)
−0.968354 + 0.249580i \(0.919708\pi\)
\(734\) 5.60549 6.40377i 0.206902 0.236368i
\(735\) −32.3067 8.45059i −1.19165 0.311705i
\(736\) −30.9594 15.0899i −1.14118 0.556220i
\(737\) −0.478713 + 1.78658i −0.0176336 + 0.0658095i
\(738\) −22.9296 11.2813i −0.844051 0.415270i
\(739\) 39.1224 + 22.5873i 1.43914 + 0.830888i 0.997790 0.0664466i \(-0.0211662\pi\)
0.441351 + 0.897335i \(0.354500\pi\)
\(740\) −6.01278 19.1040i −0.221034 0.702277i
\(741\) 4.54622i 0.167009i
\(742\) −9.09115 + 11.4460i −0.333746 + 0.420197i
\(743\) 30.0474 + 30.0474i 1.10233 + 1.10233i 0.994129 + 0.108205i \(0.0345103\pi\)
0.108205 + 0.994129i \(0.465490\pi\)
\(744\) 2.56200 40.8242i 0.0939273 1.49669i
\(745\) 7.96814 + 0.716067i 0.291930 + 0.0262347i
\(746\) 6.43854 2.19224i 0.235732 0.0802635i
\(747\) 5.33469 19.9093i 0.195186 0.728444i
\(748\) −13.8547 10.5904i −0.506579 0.387225i
\(749\) 16.4554 + 3.57635i 0.601267 + 0.130677i
\(750\) −28.1625 + 18.5680i −1.02835 + 0.678006i
\(751\) 29.7193 17.1584i 1.08447 0.626120i 0.152373 0.988323i \(-0.451309\pi\)
0.932099 + 0.362203i \(0.117975\pi\)
\(752\) −4.28882 7.36539i −0.156397 0.268588i
\(753\) 11.8557 + 44.2459i 0.432044 + 1.61241i
\(754\) 6.64285 33.5581i 0.241918 1.22211i
\(755\) −15.4444 + 7.15754i −0.562080 + 0.260490i
\(756\) 6.99935 + 14.7777i 0.254564 + 0.537459i
\(757\) 4.41129 4.41129i 0.160331 0.160331i −0.622382 0.782713i \(-0.713835\pi\)
0.782713 + 0.622382i \(0.213835\pi\)
\(758\) 26.2547 17.5780i 0.953612 0.638460i
\(759\) 7.92384 13.7245i 0.287617 0.498167i
\(760\) −0.387459 3.52431i −0.0140546 0.127840i
\(761\) 8.27236 + 14.3282i 0.299873 + 0.519395i 0.976107 0.217292i \(-0.0697224\pi\)
−0.676234 + 0.736687i \(0.736389\pi\)
\(762\) 3.78811 + 56.9877i 0.137229 + 2.06444i
\(763\) −5.55382 2.86185i −0.201062 0.103606i
\(764\) 2.73229 + 20.4612i 0.0988507 + 0.740260i
\(765\) 4.24795 + 24.4282i 0.153585 + 0.883202i
\(766\) −26.4954 + 9.02131i −0.957317 + 0.325953i
\(767\) −3.11007 11.6069i −0.112298 0.419102i
\(768\) −32.9057 + 9.07857i −1.18738 + 0.327595i
\(769\) 26.3718i 0.950991i 0.879718 + 0.475496i \(0.157731\pi\)
−0.879718 + 0.475496i \(0.842269\pi\)
\(770\) −8.96279 4.88543i −0.322996 0.176059i
\(771\) 29.8176 1.07385
\(772\) −12.6261 1.63850i −0.454423 0.0589709i
\(773\) −41.5422 + 11.1312i −1.49417 + 0.400362i −0.911143 0.412091i \(-0.864799\pi\)
−0.583027 + 0.812453i \(0.698132\pi\)
\(774\) 10.6253 3.61777i 0.381919 0.130038i
\(775\) −6.04294 + 33.3503i −0.217069 + 1.19798i
\(776\) −23.5865 15.6655i −0.846708 0.562359i
\(777\) −25.2496 + 1.20763i −0.905823 + 0.0433237i
\(778\) 19.6930 1.30905i 0.706030 0.0469316i
\(779\) −5.65412 + 3.26441i −0.202580 + 0.116960i
\(780\) −36.2333 + 1.56351i −1.29736 + 0.0559825i
\(781\) −3.46989 2.00334i −0.124162 0.0716852i
\(782\) 51.1326 34.2342i 1.82850 1.22421i
\(783\) 13.9051 + 13.9051i 0.496928 + 0.496928i
\(784\) 21.6640 + 17.7390i 0.773713 + 0.633536i
\(785\) −11.0843 4.06401i −0.395617 0.145051i
\(786\) 5.46107 + 1.08102i 0.194790 + 0.0385588i
\(787\) −4.31539 + 1.15631i −0.153827 + 0.0412179i −0.334911 0.942250i \(-0.608706\pi\)
0.181084 + 0.983468i \(0.442040\pi\)
\(788\) −4.23027 10.1596i −0.150697 0.361920i
\(789\) 14.0329 + 24.3057i 0.499585 + 0.865307i
\(790\) 13.0023 + 23.7808i 0.462599 + 0.846082i
\(791\) −9.73748 8.84855i −0.346225 0.314618i
\(792\) −1.05913 5.24846i −0.0376347 0.186496i
\(793\) −16.3635 4.38459i −0.581085 0.155701i
\(794\) 16.9207 + 49.6957i 0.600493 + 1.76363i
\(795\) 18.5617 + 1.66807i 0.658315 + 0.0591603i
\(796\) 4.04814 + 5.25548i 0.143482 + 0.186275i
\(797\) 21.9618 21.9618i 0.777929 0.777929i −0.201550 0.979478i \(-0.564598\pi\)
0.979478 + 0.201550i \(0.0645978\pi\)
\(798\) −4.42637 0.658267i −0.156692 0.0233024i
\(799\) 15.2279 0.538724
\(800\) 27.9555 4.30011i 0.988376 0.152032i
\(801\) 10.9984 19.0497i 0.388608 0.673089i
\(802\) 6.51840 13.2489i 0.230173 0.467835i
\(803\) 3.99404 + 1.07020i 0.140947 + 0.0377666i
\(804\) −6.41163 + 0.856179i −0.226121 + 0.0301951i
\(805\) 26.5124 24.3821i 0.934441 0.859355i
\(806\) −24.0011 + 27.4191i −0.845403 + 0.965798i
\(807\) −24.4452 6.55008i −0.860513 0.230574i
\(808\) −3.64954 1.22757i −0.128390 0.0431857i
\(809\) 15.7868 + 9.11454i 0.555036 + 0.320450i 0.751151 0.660131i \(-0.229499\pi\)
−0.196115 + 0.980581i \(0.562833\pi\)
\(810\) 18.4949 30.3803i 0.649845 1.06746i
\(811\) 6.86574 0.241089 0.120544 0.992708i \(-0.461536\pi\)
0.120544 + 0.992708i \(0.461536\pi\)
\(812\) 31.7116 + 11.3268i 1.11286 + 0.397491i
\(813\) 25.5092 + 25.5092i 0.894646 + 0.894646i
\(814\) −7.58005 1.50048i −0.265680 0.0525917i
\(815\) 7.34851 6.13665i 0.257407 0.214957i
\(816\) 15.5668 58.9678i 0.544945 2.06429i
\(817\) 0.742203 2.76994i 0.0259664 0.0969079i
\(818\) 1.40917 + 21.1992i 0.0492703 + 0.741213i
\(819\) −3.31396 + 15.2481i −0.115799 + 0.532811i
\(820\) −27.9619 43.9406i −0.976470 1.53447i
\(821\) −12.7231 + 7.34570i −0.444040 + 0.256367i −0.705310 0.708899i \(-0.749192\pi\)
0.261270 + 0.965266i \(0.415859\pi\)
\(822\) 23.8904 48.5581i 0.833272 1.69366i
\(823\) 54.6507 14.6436i 1.90500 0.510444i 0.909503 0.415698i \(-0.136463\pi\)
0.995501 0.0947461i \(-0.0302039\pi\)
\(824\) 0.277484 4.42157i 0.00966661 0.154033i
\(825\) 1.07312 + 12.9704i 0.0373613 + 0.451570i
\(826\) 11.7513 1.34746i 0.408879 0.0468841i
\(827\) 27.8631 + 27.8631i 0.968896 + 0.968896i 0.999531 0.0306351i \(-0.00975299\pi\)
−0.0306351 + 0.999531i \(0.509753\pi\)
\(828\) 18.7360 + 2.43139i 0.651122 + 0.0844966i
\(829\) 3.68561 6.38366i 0.128006 0.221714i −0.794898 0.606744i \(-0.792476\pi\)
0.922904 + 0.385030i \(0.125809\pi\)
\(830\) 30.3873 29.0062i 1.05476 1.00682i
\(831\) 41.4827 23.9501i 1.43902 0.830818i
\(832\) 28.1587 + 11.4810i 0.976227 + 0.398033i
\(833\) −46.8657 + 17.5005i −1.62380 + 0.606356i
\(834\) 4.37639 + 3.83084i 0.151542 + 0.132651i
\(835\) −6.80932 39.1575i −0.235646 1.35510i
\(836\) −1.26477 0.521147i −0.0437431 0.0180243i
\(837\) −5.42149 20.2333i −0.187394 0.699365i
\(838\) −43.4724 + 29.1055i −1.50173 + 1.00543i
\(839\) 12.1927 0.420939 0.210469 0.977600i \(-0.432501\pi\)
0.210469 + 0.977600i \(0.432501\pi\)
\(840\) 3.72410 35.5045i 0.128494 1.22502i
\(841\) 11.4971 0.396451
\(842\) 4.00564 2.68184i 0.138043 0.0924224i
\(843\) 0.0803243 + 0.299774i 0.00276651 + 0.0103248i
\(844\) 9.72454 23.6005i 0.334732 0.812363i
\(845\) 2.64942 + 1.86447i 0.0911429 + 0.0641399i
\(846\) 3.51804 + 3.07949i 0.120953 + 0.105875i
\(847\) 21.1675 13.6092i 0.727323 0.467619i
\(848\) −13.5617 7.76306i −0.465709 0.266585i
\(849\) −8.96974 + 5.17868i −0.307841 + 0.177732i
\(850\) −18.4942 + 47.0288i −0.634344 + 1.61307i
\(851\) 13.6330 23.6131i 0.467334 0.809447i
\(852\) 1.80328 13.8959i 0.0617794 0.476065i
\(853\) 17.5060 + 17.5060i 0.599392 + 0.599392i 0.940151 0.340758i \(-0.110684\pi\)
−0.340758 + 0.940151i \(0.610684\pi\)
\(854\) 6.63834 15.2973i 0.227159 0.523461i
\(855\) 0.817813 + 1.76466i 0.0279686 + 0.0603502i
\(856\) −1.12755 + 17.9669i −0.0385387 + 0.614096i
\(857\) 0.653123 0.175004i 0.0223103 0.00597802i −0.247647 0.968850i \(-0.579657\pi\)
0.269957 + 0.962872i \(0.412991\pi\)
\(858\) −6.17711 + 12.5552i −0.210883 + 0.428628i
\(859\) 15.8036 9.12420i 0.539211 0.311314i −0.205548 0.978647i \(-0.565898\pi\)
0.744759 + 0.667333i \(0.232564\pi\)
\(860\) 22.3317 + 4.96274i 0.761504 + 0.169228i
\(861\) −62.6119 + 20.0281i −2.13381 + 0.682555i
\(862\) 3.15696 + 47.4927i 0.107526 + 1.61761i
\(863\) 2.08380 7.77686i 0.0709335 0.264727i −0.921347 0.388741i \(-0.872910\pi\)
0.992281 + 0.124014i \(0.0395767\pi\)
\(864\) −14.4894 + 9.77874i −0.492939 + 0.332680i
\(865\) 19.0607 + 22.8248i 0.648083 + 0.776066i
\(866\) −1.15666 0.228963i −0.0393050 0.00778047i
\(867\) 51.4043 + 51.4043i 1.74578 + 1.74578i
\(868\) −23.2211 27.3385i −0.788175 0.927930i
\(869\) 10.4569 0.354727
\(870\) −10.1448 41.7173i −0.343941 1.41435i
\(871\) 4.99049 + 2.88126i 0.169096 + 0.0976278i
\(872\) 2.12939 6.33066i 0.0721104 0.214383i
\(873\) 15.0033 + 4.02011i 0.507783 + 0.136060i
\(874\) 3.17925 3.63201i 0.107540 0.122855i
\(875\) −6.48663 + 28.8604i −0.219288 + 0.975660i
\(876\) 1.91406 + 14.3337i 0.0646699 + 0.484291i
\(877\) −15.3897 4.12364i −0.519672 0.139246i −0.0105569 0.999944i \(-0.503360\pi\)
−0.509115 + 0.860699i \(0.670027\pi\)
\(878\) 0.625060 1.27046i 0.0210948 0.0428759i
\(879\) −25.2641 + 43.7586i −0.852135 + 1.47594i
\(880\) 3.71857 10.2595i 0.125353 0.345847i
\(881\) −10.1439 −0.341757 −0.170878 0.985292i \(-0.554661\pi\)
−0.170878 + 0.985292i \(0.554661\pi\)
\(882\) −14.3663 5.43443i −0.483737 0.182987i
\(883\) 2.45257 2.45257i 0.0825357 0.0825357i −0.664634 0.747169i \(-0.731412\pi\)
0.747169 + 0.664634i \(0.231412\pi\)
\(884\) −43.0426 + 33.1545i −1.44768 + 1.11511i
\(885\) −9.66644 11.5754i −0.324934 0.389102i
\(886\) −18.0906 53.1318i −0.607767 1.78500i
\(887\) 36.5226 + 9.78621i 1.22631 + 0.328589i 0.813141 0.582066i \(-0.197756\pi\)
0.413168 + 0.910655i \(0.364422\pi\)
\(888\) −5.34561 26.4898i −0.179387 0.888939i
\(889\) 37.0655 + 33.6818i 1.24314 + 1.12965i
\(890\) 39.3361 21.5072i 1.31855 0.720923i
\(891\) −6.86124 11.8840i −0.229860 0.398130i
\(892\) 31.9117 13.2875i 1.06848 0.444897i
\(893\) 1.15381 0.309162i 0.0386107 0.0103457i
\(894\) 10.5893 + 2.09616i 0.354160 + 0.0701062i
\(895\) 6.97563 3.23278i 0.233170 0.108060i
\(896\) −15.2556 + 25.7540i −0.509653 + 0.860380i
\(897\) −34.9128 34.9128i −1.16570 1.16570i
\(898\) −16.0563 + 10.7500i −0.535806 + 0.358732i
\(899\) −37.3583 21.5688i −1.24597 0.719361i
\(900\) −13.7831 + 7.12486i −0.459437 + 0.237495i
\(901\) 24.1787 13.9596i 0.805508 0.465060i
\(902\) −20.0503 + 1.33280i −0.667604 + 0.0443773i
\(903\) 13.2258 25.6666i 0.440127 0.854130i
\(904\) 7.78204 11.7169i 0.258827 0.389698i
\(905\) 25.3059 + 17.8085i 0.841198 + 0.591975i
\(906\) −21.7426 + 7.40306i −0.722349 + 0.245950i
\(907\) −28.2090 + 7.55859i −0.936666 + 0.250979i −0.694695 0.719305i \(-0.744461\pi\)
−0.241971 + 0.970284i \(0.577794\pi\)
\(908\) 6.52459 50.2778i 0.216526 1.66853i
\(909\) 2.11222 0.0700580
\(910\) −21.9294 + 23.0330i −0.726952 + 0.763538i
\(911\) 5.25924i 0.174246i 0.996198 + 0.0871231i \(0.0277674\pi\)
−0.996198 + 0.0871231i \(0.972233\pi\)
\(912\) −0.0177020 4.78399i −0.000586170 0.158414i
\(913\) −4.19489 15.6555i −0.138830 0.518122i
\(914\) −34.0907 + 11.6074i −1.12762 + 0.383939i
\(915\) −20.9465 + 3.64251i −0.692471 + 0.120418i
\(916\) −31.8325 + 4.25075i −1.05177 + 0.140449i
\(917\) 4.10630 2.64007i 0.135602 0.0871828i
\(918\) −2.07148 31.1630i −0.0683691 1.02853i
\(919\) −6.21967 10.7728i −0.205168 0.355361i 0.745018 0.667044i \(-0.232441\pi\)
−0.950186 + 0.311683i \(0.899107\pi\)
\(920\) 30.0405 + 24.0895i 0.990406 + 0.794208i
\(921\) 8.74595 15.1484i 0.288189 0.499158i
\(922\) −31.5715 + 21.1377i −1.03975 + 0.696133i
\(923\) −8.82681 + 8.82681i −0.290538 + 0.290538i
\(924\) −11.3298 7.83219i −0.372723 0.257660i
\(925\) 1.84631 + 22.3156i 0.0607065 + 0.733733i
\(926\) −8.26624 + 41.7590i −0.271645 + 1.37229i
\(927\) 0.629004 + 2.34747i 0.0206592 + 0.0771012i
\(928\) −6.85962 + 35.3391i −0.225178 + 1.16006i
\(929\) −19.8821 + 11.4790i −0.652312 + 0.376612i −0.789341 0.613955i \(-0.789578\pi\)
0.137030 + 0.990567i \(0.456244\pi\)
\(930\) −12.8602 + 43.8872i −0.421704 + 1.43912i
\(931\) −3.19568 + 2.27748i −0.104734 + 0.0746415i
\(932\) 6.14247 8.03577i 0.201203 0.263220i
\(933\) 10.6069 39.5856i 0.347256 1.29598i
\(934\) −7.37053 + 2.50956i −0.241171 + 0.0821154i
\(935\) 12.4973 + 14.9652i 0.408704 + 0.489415i
\(936\) −16.6487 1.04482i −0.544179 0.0341510i
\(937\) −29.5597 29.5597i −0.965672 0.965672i 0.0337577 0.999430i \(-0.489253\pi\)
−0.999430 + 0.0337577i \(0.989253\pi\)
\(938\) −3.52790 + 4.44174i −0.115190 + 0.145028i
\(939\) 48.7043i 1.58941i
\(940\) 2.86083 + 9.08952i 0.0933100 + 0.296467i
\(941\) −15.3661 8.87162i −0.500920 0.289206i 0.228173 0.973621i \(-0.426725\pi\)
−0.729093 + 0.684414i \(0.760058\pi\)
\(942\) −14.2935 7.03233i −0.465707 0.229126i
\(943\) 18.3518 68.4900i 0.597618 2.23034i
\(944\) 3.31793 + 12.2019i 0.107989 + 0.397138i
\(945\) −3.98895 17.8410i −0.129760 0.580368i
\(946\) 5.81335 6.64123i 0.189008 0.215925i
\(947\) 6.98080 26.0527i 0.226845 0.846598i −0.754811 0.655942i \(-0.772272\pi\)
0.981657 0.190657i \(-0.0610617\pi\)
\(948\) 14.0574 + 33.7608i 0.456564 + 1.09650i
\(949\) 6.44129 11.1566i 0.209093 0.362160i
\(950\) −0.446496 + 3.93881i −0.0144862 + 0.127792i
\(951\) 33.8174i 1.09661i
\(952\) −26.0481 46.7085i −0.844224 1.51383i
\(953\) 19.2269 19.2269i 0.622822 0.622822i −0.323430 0.946252i \(-0.604836\pi\)
0.946252 + 0.323430i \(0.104836\pi\)
\(954\) 8.40889 + 1.66455i 0.272248 + 0.0538917i
\(955\) 2.06573 22.9867i 0.0668455 0.743833i
\(956\) −17.9868 + 43.6522i −0.581735 + 1.41181i
\(957\) −16.0000 4.28718i −0.517206 0.138585i
\(958\) −10.0051 + 0.665067i −0.323252 + 0.0214874i
\(959\) −14.4582 45.1993i −0.466880 1.45956i
\(960\) 38.1223 1.78637i 1.23039 0.0576547i
\(961\) 7.47524 + 12.9475i 0.241137 + 0.417661i
\(962\) −10.6278 + 21.6013i −0.342653 + 0.696455i
\(963\) −2.55593 9.53887i −0.0823638 0.307386i
\(964\) −6.18463 8.02917i −0.199194 0.258602i
\(965\) 13.3648 + 4.90012i 0.430228 + 0.157741i
\(966\) 39.0476 28.9372i 1.25633 0.931039i
\(967\) 34.6653 34.6653i 1.11476 1.11476i 0.122262 0.992498i \(-0.460985\pi\)
0.992498 0.122262i \(-0.0390148\pi\)
\(968\) 17.7941 + 20.1770i 0.571923 + 0.648514i
\(969\) 7.40231 + 4.27373i 0.237797 + 0.137292i
\(970\) 21.8584 + 22.8993i 0.701832 + 0.735251i
\(971\) 2.37752 + 4.11799i 0.0762983 + 0.132153i 0.901650 0.432466i \(-0.142357\pi\)
−0.825352 + 0.564619i \(0.809023\pi\)
\(972\) 17.8849 23.3976i 0.573659 0.750478i
\(973\) 5.09444 0.243656i 0.163320 0.00781127i
\(974\) −9.52274 + 10.8789i −0.305128 + 0.348582i
\(975\) 39.8981 + 7.22937i 1.27776 + 0.231525i
\(976\) 17.2364 + 4.55019i 0.551724 + 0.145648i
\(977\) 26.9316 7.21631i 0.861620 0.230870i 0.199159 0.979967i \(-0.436179\pi\)
0.662460 + 0.749097i \(0.269512\pi\)
\(978\) 10.7344 7.18684i 0.343247 0.229810i
\(979\) 17.2969i 0.552812i
\(980\) −19.2506 24.6863i −0.614937 0.788576i
\(981\) 3.66396i 0.116981i
\(982\) 27.0327 + 40.3763i 0.862647 + 1.28846i
\(983\) −37.1680 + 9.95915i −1.18548 + 0.317647i −0.797096 0.603852i \(-0.793632\pi\)
−0.388380 + 0.921499i \(0.626965\pi\)
\(984\) −31.2571 62.9422i −0.996440 2.00652i
\(985\) 2.10799 + 12.1222i 0.0671661 + 0.386244i
\(986\) −48.3958 42.3628i −1.54124 1.34911i
\(987\) 12.0135 0.574582i 0.382395 0.0182891i
\(988\) −2.58820 + 3.38596i −0.0823415 + 0.107722i
\(989\) 15.5720 + 26.9716i 0.495162 + 0.857646i
\(990\) −0.139171 + 5.98463i −0.00442315 + 0.190204i
\(991\) −17.3809 10.0349i −0.552124 0.318769i 0.197854 0.980231i \(-0.436603\pi\)
−0.749978 + 0.661462i \(0.769936\pi\)
\(992\) 25.1497 28.9467i 0.798502 0.919058i
\(993\) 52.2375 52.2375i 1.65771 1.65771i
\(994\) −7.31604 9.87218i −0.232051 0.313127i
\(995\) −3.11862 6.72930i −0.0988669 0.213333i
\(996\) 44.9056 34.5895i 1.42289 1.09601i
\(997\) 15.0744 + 56.2585i 0.477411 + 1.78172i 0.612039 + 0.790827i \(0.290349\pi\)
−0.134628 + 0.990896i \(0.542984\pi\)
\(998\) −0.523373 0.257497i −0.0165671 0.00815094i
\(999\) −6.91939 11.9847i −0.218920 0.379181i
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 280.2.br.a.67.14 176
5.3 odd 4 inner 280.2.br.a.123.10 yes 176
7.2 even 3 inner 280.2.br.a.107.17 yes 176
8.3 odd 2 inner 280.2.br.a.67.39 yes 176
35.23 odd 12 inner 280.2.br.a.163.39 yes 176
40.3 even 4 inner 280.2.br.a.123.17 yes 176
56.51 odd 6 inner 280.2.br.a.107.10 yes 176
280.163 even 12 inner 280.2.br.a.163.14 yes 176
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
280.2.br.a.67.14 176 1.1 even 1 trivial
280.2.br.a.67.39 yes 176 8.3 odd 2 inner
280.2.br.a.107.10 yes 176 56.51 odd 6 inner
280.2.br.a.107.17 yes 176 7.2 even 3 inner
280.2.br.a.123.10 yes 176 5.3 odd 4 inner
280.2.br.a.123.17 yes 176 40.3 even 4 inner
280.2.br.a.163.14 yes 176 280.163 even 12 inner
280.2.br.a.163.39 yes 176 35.23 odd 12 inner