Properties

Label 242.2.g.b.5.2
Level $242$
Weight $2$
Character 242.5
Analytic conductor $1.932$
Analytic rank $0$
Dimension $240$
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] = [242,2,Mod(5,242)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(242, base_ring=CyclotomicField(110))
 
chi = DirichletCharacter(H, H._module([74]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("242.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 242 = 2 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 242.g (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: \(1.93237972891\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(6\) over \(\Q(\zeta_{55})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{55}]$

Embedding invariants

Embedding label 5.2
Character \(\chi\) \(=\) 242.5
Dual form 242.2.g.b.97.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.516397 - 0.856349i) q^{2} +(-0.659289 - 0.479001i) q^{3} +(-0.466667 - 0.884433i) q^{4} +(-2.95672 + 2.41770i) q^{5} +(-0.750647 + 0.317226i) q^{6} +(-2.54441 + 3.29965i) q^{7} +(-0.998369 - 0.0570888i) q^{8} +(-0.721832 - 2.22157i) q^{9} +O(q^{10})\) \(q+(0.516397 - 0.856349i) q^{2} +(-0.659289 - 0.479001i) q^{3} +(-0.466667 - 0.884433i) q^{4} +(-2.95672 + 2.41770i) q^{5} +(-0.750647 + 0.317226i) q^{6} +(-2.54441 + 3.29965i) q^{7} +(-0.998369 - 0.0570888i) q^{8} +(-0.721832 - 2.22157i) q^{9} +(0.543551 + 3.78048i) q^{10} +(-1.96007 - 2.67547i) q^{11} +(-0.115976 + 0.806631i) q^{12} +(-2.86513 + 0.495830i) q^{13} +(1.51172 + 3.88283i) q^{14} +(3.10742 - 0.177688i) q^{15} +(-0.564443 + 0.825472i) q^{16} +(2.67263 - 0.306656i) q^{17} +(-2.27519 - 0.529073i) q^{18} +(-1.33053 + 0.751383i) q^{19} +(3.51810 + 1.48676i) q^{20} +(3.25803 - 0.956645i) q^{21} +(-3.30331 + 0.296896i) q^{22} +(8.66322 + 2.54375i) q^{23} +(0.630868 + 0.515858i) q^{24} +(1.90398 - 9.39653i) q^{25} +(-1.05494 + 2.70960i) q^{26} +(-1.34372 + 4.13553i) q^{27} +(4.10571 + 0.710521i) q^{28} +(-0.377401 - 1.86255i) q^{29} +(1.45250 - 2.75279i) q^{30} +(-5.94674 + 2.92382i) q^{31} +(0.415415 + 0.909632i) q^{32} +(0.0106965 + 2.70278i) q^{33} +(1.11754 - 2.44706i) q^{34} +(-0.454448 - 15.9078i) q^{35} +(-1.62797 + 1.67515i) q^{36} +(-4.90537 - 5.04751i) q^{37} +(-0.0436345 + 1.52741i) q^{38} +(2.12645 + 1.04551i) q^{39} +(3.08993 - 2.24496i) q^{40} +(0.349258 + 4.06634i) q^{41} +(0.863218 - 3.28402i) q^{42} +(-5.06481 + 3.25496i) q^{43} +(-1.45157 + 2.98210i) q^{44} +(7.50535 + 4.82339i) q^{45} +(6.65200 - 6.10515i) q^{46} +(-10.6143 + 2.46824i) q^{47} +(0.767533 - 0.273855i) q^{48} +(-2.63413 - 10.0213i) q^{49} +(-7.06350 - 6.48282i) q^{50} +(-1.90893 - 1.07802i) q^{51} +(1.77559 + 2.30263i) q^{52} +(3.15731 + 4.61742i) q^{53} +(2.84757 + 3.28627i) q^{54} +(12.2639 + 3.17177i) q^{55} +(2.72863 - 3.14901i) q^{56} +(1.23711 + 0.141946i) q^{57} +(-1.78988 - 0.638627i) q^{58} +(-0.0393446 + 0.458081i) q^{59} +(-1.60728 - 2.66538i) q^{60} +(-2.84920 - 4.72487i) q^{61} +(-0.567075 + 6.60234i) q^{62} +(9.16703 + 3.27079i) q^{63} +(0.993482 + 0.113991i) q^{64} +(7.27263 - 8.39306i) q^{65} +(2.32005 + 1.38655i) q^{66} +(-1.06690 - 1.23127i) q^{67} +(-1.51845 - 2.22066i) q^{68} +(-4.49310 - 5.82676i) q^{69} +(-13.8573 - 7.82556i) q^{70} +(0.871710 + 0.800048i) q^{71} +(0.593828 + 2.25915i) q^{72} +(0.814364 - 0.290564i) q^{73} +(-6.85555 + 1.59419i) q^{74} +(-5.75623 + 5.28302i) q^{75} +(1.28546 + 0.826115i) q^{76} +(13.8153 + 0.339958i) q^{77} +(1.99341 - 1.28109i) q^{78} +(-3.24394 + 12.3412i) q^{79} +(-0.326842 - 3.80535i) q^{80} +(-2.80252 + 2.03615i) q^{81} +(3.66256 + 1.80076i) q^{82} +(-0.141443 + 4.95116i) q^{83} +(-2.36651 - 2.43508i) q^{84} +(-7.16084 + 7.36833i) q^{85} +(0.171923 + 6.01810i) q^{86} +(-0.643346 + 1.40873i) q^{87} +(1.80413 + 2.78300i) q^{88} +(-6.74987 - 14.7802i) q^{89} +(8.00625 - 3.93641i) q^{90} +(5.65399 - 10.7155i) q^{91} +(-1.79306 - 8.84912i) q^{92} +(5.32113 + 0.920858i) q^{93} +(-3.36750 + 10.3641i) q^{94} +(2.11738 - 5.43844i) q^{95} +(0.161836 - 0.798694i) q^{96} +(3.20891 + 2.62391i) q^{97} +(-9.94195 - 2.91922i) q^{98} +(-4.52890 + 6.28566i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q + 6 q^{2} - 8 q^{3} + 6 q^{4} + 5 q^{5} - 2 q^{6} - 2 q^{7} + 6 q^{8} - 80 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 240 q + 6 q^{2} - 8 q^{3} + 6 q^{4} + 5 q^{5} - 2 q^{6} - 2 q^{7} + 6 q^{8} - 80 q^{9} - 22 q^{10} - 10 q^{11} - 13 q^{12} - 30 q^{13} - 13 q^{14} - 30 q^{15} + 6 q^{16} - 4 q^{17} + 12 q^{18} + 4 q^{19} + 5 q^{20} + 20 q^{21} - 11 q^{22} - 21 q^{23} - 2 q^{24} - 7 q^{25} - 7 q^{26} + 46 q^{27} - 2 q^{28} - 13 q^{29} - 19 q^{30} - 68 q^{31} - 24 q^{32} - 11 q^{33} + 6 q^{34} - 16 q^{35} + 12 q^{36} - 75 q^{37} - 44 q^{38} + 178 q^{39} - 16 q^{40} - 4 q^{41} - 44 q^{42} + 14 q^{43} - 15 q^{44} + 4 q^{45} + 13 q^{46} - 7 q^{47} + 3 q^{48} - 46 q^{49} + 13 q^{50} + 21 q^{51} - 7 q^{52} + 12 q^{53} + 16 q^{54} - 26 q^{55} - 3 q^{56} - 57 q^{57} + 97 q^{58} - 41 q^{59} - 31 q^{60} - 48 q^{61} - 2 q^{62} - 81 q^{63} + 6 q^{64} - 75 q^{65} - 82 q^{66} - 41 q^{67} - 4 q^{68} - 22 q^{69} + 26 q^{70} - 69 q^{71} - 3 q^{72} - 64 q^{73} + 13 q^{74} - 2 q^{75} - 30 q^{76} + 162 q^{77} + 32 q^{78} - 33 q^{79} - 5 q^{80} - 131 q^{81} - 21 q^{82} + 10 q^{83} + 166 q^{84} - 122 q^{85} - 26 q^{86} - 17 q^{87} - 21 q^{88} - 13 q^{89} - 160 q^{90} - 44 q^{91} - 52 q^{92} - 49 q^{93} - 170 q^{94} - 295 q^{95} + 3 q^{96} - 88 q^{97} - 36 q^{98} - 119 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/242\mathbb{Z}\right)^\times\).

\(n\) \(123\)
\(\chi(n)\) \(e\left(\frac{37}{55}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.516397 0.856349i 0.365148 0.605530i
\(3\) −0.659289 0.479001i −0.380640 0.276551i 0.380969 0.924588i \(-0.375590\pi\)
−0.761609 + 0.648036i \(0.775590\pi\)
\(4\) −0.466667 0.884433i −0.233334 0.442216i
\(5\) −2.95672 + 2.41770i −1.32229 + 1.08123i −0.331840 + 0.943336i \(0.607669\pi\)
−0.990447 + 0.137893i \(0.955967\pi\)
\(6\) −0.750647 + 0.317226i −0.306450 + 0.129507i
\(7\) −2.54441 + 3.29965i −0.961695 + 1.24715i 0.00727539 + 0.999974i \(0.497684\pi\)
−0.968971 + 0.247175i \(0.920498\pi\)
\(8\) −0.998369 0.0570888i −0.352977 0.0201839i
\(9\) −0.721832 2.22157i −0.240611 0.740523i
\(10\) 0.543551 + 3.78048i 0.171886 + 1.19549i
\(11\) −1.96007 2.67547i −0.590982 0.806684i
\(12\) −0.115976 + 0.806631i −0.0334794 + 0.232854i
\(13\) −2.86513 + 0.495830i −0.794644 + 0.137519i −0.553367 0.832938i \(-0.686657\pi\)
−0.241277 + 0.970456i \(0.577566\pi\)
\(14\) 1.51172 + 3.88283i 0.404025 + 1.03773i
\(15\) 3.10742 0.177688i 0.802331 0.0458790i
\(16\) −0.564443 + 0.825472i −0.141111 + 0.206368i
\(17\) 2.67263 0.306656i 0.648209 0.0743751i 0.216350 0.976316i \(-0.430585\pi\)
0.431860 + 0.901941i \(0.357858\pi\)
\(18\) −2.27519 0.529073i −0.536268 0.124704i
\(19\) −1.33053 + 0.751383i −0.305244 + 0.172379i −0.636742 0.771077i \(-0.719718\pi\)
0.331499 + 0.943456i \(0.392446\pi\)
\(20\) 3.51810 + 1.48676i 0.786671 + 0.332450i
\(21\) 3.25803 0.956645i 0.710961 0.208757i
\(22\) −3.30331 + 0.296896i −0.704268 + 0.0632984i
\(23\) 8.66322 + 2.54375i 1.80641 + 0.530409i 0.998281 0.0586024i \(-0.0186644\pi\)
0.808125 + 0.589011i \(0.200483\pi\)
\(24\) 0.630868 + 0.515858i 0.128775 + 0.105299i
\(25\) 1.90398 9.39653i 0.380797 1.87931i
\(26\) −1.05494 + 2.70960i −0.206891 + 0.531395i
\(27\) −1.34372 + 4.13553i −0.258598 + 0.795884i
\(28\) 4.10571 + 0.710521i 0.775906 + 0.134276i
\(29\) −0.377401 1.86255i −0.0700816 0.345866i 0.929664 0.368408i \(-0.120097\pi\)
−0.999746 + 0.0225416i \(0.992824\pi\)
\(30\) 1.45250 2.75279i 0.265189 0.502588i
\(31\) −5.94674 + 2.92382i −1.06807 + 0.525133i −0.888624 0.458636i \(-0.848338\pi\)
−0.179442 + 0.983769i \(0.557429\pi\)
\(32\) 0.415415 + 0.909632i 0.0734357 + 0.160802i
\(33\) 0.0106965 + 2.70278i 0.00186203 + 0.470494i
\(34\) 1.11754 2.44706i 0.191656 0.419668i
\(35\) −0.454448 15.9078i −0.0768157 2.68890i
\(36\) −1.62797 + 1.67515i −0.271329 + 0.279191i
\(37\) −4.90537 5.04751i −0.806438 0.829805i 0.181703 0.983353i \(-0.441839\pi\)
−0.988141 + 0.153548i \(0.950930\pi\)
\(38\) −0.0436345 + 1.52741i −0.00707845 + 0.247778i
\(39\) 2.12645 + 1.04551i 0.340504 + 0.167415i
\(40\) 3.08993 2.24496i 0.488560 0.354960i
\(41\) 0.349258 + 4.06634i 0.0545450 + 0.635056i 0.971652 + 0.236415i \(0.0759725\pi\)
−0.917107 + 0.398641i \(0.869482\pi\)
\(42\) 0.863218 3.28402i 0.133197 0.506736i
\(43\) −5.06481 + 3.25496i −0.772377 + 0.496376i −0.866496 0.499185i \(-0.833633\pi\)
0.0941190 + 0.995561i \(0.469997\pi\)
\(44\) −1.45157 + 2.98210i −0.218833 + 0.449569i
\(45\) 7.50535 + 4.82339i 1.11883 + 0.719029i
\(46\) 6.65200 6.10515i 0.980784 0.900156i
\(47\) −10.6143 + 2.46824i −1.54825 + 0.360030i −0.911585 0.411112i \(-0.865140\pi\)
−0.636663 + 0.771142i \(0.719686\pi\)
\(48\) 0.767533 0.273855i 0.110784 0.0395276i
\(49\) −2.63413 10.0213i −0.376304 1.43161i
\(50\) −7.06350 6.48282i −0.998930 0.916809i
\(51\) −1.90893 1.07802i −0.267303 0.150953i
\(52\) 1.77559 + 2.30263i 0.246230 + 0.319317i
\(53\) 3.15731 + 4.61742i 0.433690 + 0.634251i 0.978970 0.204002i \(-0.0653951\pi\)
−0.545281 + 0.838254i \(0.683577\pi\)
\(54\) 2.84757 + 3.28627i 0.387505 + 0.447205i
\(55\) 12.2639 + 3.17177i 1.65366 + 0.427681i
\(56\) 2.72863 3.14901i 0.364629 0.420804i
\(57\) 1.23711 + 0.141946i 0.163860 + 0.0188011i
\(58\) −1.78988 0.638627i −0.235023 0.0838559i
\(59\) −0.0393446 + 0.458081i −0.00512223 + 0.0596370i −0.998447 0.0557182i \(-0.982255\pi\)
0.993324 + 0.115355i \(0.0368006\pi\)
\(60\) −1.60728 2.66538i −0.207499 0.344099i
\(61\) −2.84920 4.72487i −0.364803 0.604958i 0.618748 0.785590i \(-0.287640\pi\)
−0.983551 + 0.180632i \(0.942186\pi\)
\(62\) −0.567075 + 6.60234i −0.0720186 + 0.838498i
\(63\) 9.16703 + 3.27079i 1.15494 + 0.412081i
\(64\) 0.993482 + 0.113991i 0.124185 + 0.0142489i
\(65\) 7.27263 8.39306i 0.902058 1.04103i
\(66\) 2.32005 + 1.38655i 0.285578 + 0.170672i
\(67\) −1.06690 1.23127i −0.130342 0.150423i 0.686827 0.726821i \(-0.259003\pi\)
−0.817169 + 0.576398i \(0.804458\pi\)
\(68\) −1.51845 2.22066i −0.184139 0.269295i
\(69\) −4.49310 5.82676i −0.540906 0.701459i
\(70\) −13.8573 7.82556i −1.65626 0.935333i
\(71\) 0.871710 + 0.800048i 0.103453 + 0.0949483i 0.726233 0.687449i \(-0.241269\pi\)
−0.622780 + 0.782397i \(0.713997\pi\)
\(72\) 0.593828 + 2.25915i 0.0699833 + 0.266244i
\(73\) 0.814364 0.290564i 0.0953141 0.0340080i −0.287962 0.957642i \(-0.592978\pi\)
0.383276 + 0.923634i \(0.374796\pi\)
\(74\) −6.85555 + 1.59419i −0.796942 + 0.185321i
\(75\) −5.75623 + 5.28302i −0.664672 + 0.610030i
\(76\) 1.28546 + 0.826115i 0.147452 + 0.0947619i
\(77\) 13.8153 + 0.339958i 1.57440 + 0.0387418i
\(78\) 1.99341 1.28109i 0.225709 0.145055i
\(79\) −3.24394 + 12.3412i −0.364971 + 1.38849i 0.490859 + 0.871239i \(0.336683\pi\)
−0.855831 + 0.517256i \(0.826953\pi\)
\(80\) −0.326842 3.80535i −0.0365420 0.425451i
\(81\) −2.80252 + 2.03615i −0.311391 + 0.226239i
\(82\) 3.66256 + 1.80076i 0.404462 + 0.198861i
\(83\) −0.141443 + 4.95116i −0.0155254 + 0.543460i 0.954187 + 0.299211i \(0.0967233\pi\)
−0.969712 + 0.244249i \(0.921458\pi\)
\(84\) −2.36651 2.43508i −0.258207 0.265689i
\(85\) −7.16084 + 7.36833i −0.776702 + 0.799208i
\(86\) 0.171923 + 6.01810i 0.0185390 + 0.648948i
\(87\) −0.643346 + 1.40873i −0.0689739 + 0.151032i
\(88\) 1.80413 + 2.78300i 0.192321 + 0.296669i
\(89\) −6.74987 14.7802i −0.715485 1.56669i −0.820126 0.572183i \(-0.806097\pi\)
0.104641 0.994510i \(-0.466631\pi\)
\(90\) 8.00625 3.93641i 0.843933 0.414934i
\(91\) 5.65399 10.7155i 0.592699 1.12329i
\(92\) −1.79306 8.84912i −0.186940 0.922585i
\(93\) 5.32113 + 0.920858i 0.551775 + 0.0954885i
\(94\) −3.36750 + 10.3641i −0.347331 + 1.06898i
\(95\) 2.11738 5.43844i 0.217239 0.557973i
\(96\) 0.161836 0.798694i 0.0165174 0.0815164i
\(97\) 3.20891 + 2.62391i 0.325816 + 0.266418i 0.781746 0.623598i \(-0.214330\pi\)
−0.455930 + 0.890016i \(0.650693\pi\)
\(98\) −9.94195 2.91922i −1.00429 0.294886i
\(99\) −4.52890 + 6.28566i −0.455172 + 0.631733i
\(100\) −9.19913 + 2.70111i −0.919913 + 0.270111i
\(101\) 13.1465 + 5.55575i 1.30812 + 0.552818i 0.928159 0.372183i \(-0.121391\pi\)
0.379965 + 0.925001i \(0.375936\pi\)
\(102\) −1.90893 + 1.07802i −0.189012 + 0.106740i
\(103\) −7.01550 1.63138i −0.691257 0.160745i −0.133872 0.990999i \(-0.542741\pi\)
−0.557386 + 0.830254i \(0.688196\pi\)
\(104\) 2.88876 0.331455i 0.283266 0.0325018i
\(105\) −7.32022 + 10.7055i −0.714380 + 1.04475i
\(106\) 5.58455 0.319336i 0.542419 0.0310167i
\(107\) −3.08484 7.92336i −0.298223 0.765980i −0.998635 0.0522406i \(-0.983364\pi\)
0.700411 0.713739i \(-0.253000\pi\)
\(108\) 4.28467 0.741492i 0.412293 0.0713501i
\(109\) −0.0140808 + 0.0979339i −0.00134869 + 0.00938037i −0.990485 0.137623i \(-0.956054\pi\)
0.989136 + 0.147003i \(0.0469628\pi\)
\(110\) 9.04917 8.86425i 0.862804 0.845173i
\(111\) 0.816293 + 5.67744i 0.0774791 + 0.538879i
\(112\) −1.28759 3.96280i −0.121666 0.374449i
\(113\) 15.3048 + 0.875161i 1.43976 + 0.0823282i 0.759434 0.650585i \(-0.225476\pi\)
0.680322 + 0.732913i \(0.261840\pi\)
\(114\) 0.760397 0.986101i 0.0712177 0.0923568i
\(115\) −31.7648 + 13.4239i −2.96208 + 1.25179i
\(116\) −1.47118 + 1.20297i −0.136595 + 0.111693i
\(117\) 3.16966 + 6.00718i 0.293035 + 0.555364i
\(118\) 0.371959 + 0.270244i 0.0342416 + 0.0248780i
\(119\) −5.78841 + 9.59901i −0.530623 + 0.879939i
\(120\) −3.11249 −0.284130
\(121\) −3.31628 + 10.4882i −0.301480 + 0.953473i
\(122\) −5.51746 −0.499528
\(123\) 1.71752 2.84819i 0.154864 0.256812i
\(124\) 5.36107 + 3.89504i 0.481438 + 0.349785i
\(125\) 8.17660 + 15.4964i 0.731338 + 1.38604i
\(126\) 7.53477 6.16115i 0.671250 0.548879i
\(127\) −0.275208 + 0.116304i −0.0244208 + 0.0103203i −0.401446 0.915883i \(-0.631492\pi\)
0.377026 + 0.926203i \(0.376947\pi\)
\(128\) 0.610648 0.791902i 0.0539742 0.0699949i
\(129\) 4.89830 + 0.280095i 0.431271 + 0.0246610i
\(130\) −3.43182 10.5621i −0.300991 0.926354i
\(131\) 1.95521 + 13.5988i 0.170828 + 1.18813i 0.877141 + 0.480233i \(0.159448\pi\)
−0.706313 + 0.707899i \(0.749643\pi\)
\(132\) 2.38544 1.27076i 0.207626 0.110605i
\(133\) 0.906103 6.30209i 0.0785691 0.546460i
\(134\) −1.60534 + 0.277815i −0.138680 + 0.0239995i
\(135\) −6.02549 15.4763i −0.518591 1.33199i
\(136\) −2.68578 + 0.153579i −0.230304 + 0.0131693i
\(137\) 11.2438 16.4435i 0.960622 1.40486i 0.0467294 0.998908i \(-0.485120\pi\)
0.913892 0.405957i \(-0.133062\pi\)
\(138\) −7.30997 + 0.838740i −0.622266 + 0.0713983i
\(139\) −3.09078 0.718730i −0.262156 0.0609619i 0.0933582 0.995633i \(-0.470240\pi\)
−0.355515 + 0.934671i \(0.615694\pi\)
\(140\) −13.8573 + 7.82556i −1.17115 + 0.661380i
\(141\) 8.18015 + 3.45696i 0.688893 + 0.291128i
\(142\) 1.13527 0.333345i 0.0952697 0.0279737i
\(143\) 6.94242 + 6.69371i 0.580555 + 0.559756i
\(144\) 2.24128 + 0.658098i 0.186773 + 0.0548415i
\(145\) 5.61895 + 4.59459i 0.466628 + 0.381560i
\(146\) 0.171711 0.847426i 0.0142109 0.0701335i
\(147\) −3.06354 + 7.86865i −0.252677 + 0.648995i
\(148\) −2.17501 + 6.69398i −0.178784 + 0.550242i
\(149\) −20.7887 3.59762i −1.70308 0.294729i −0.765738 0.643152i \(-0.777626\pi\)
−0.937337 + 0.348423i \(0.886717\pi\)
\(150\) 1.55161 + 7.65747i 0.126688 + 0.625230i
\(151\) 0.731413 1.38618i 0.0595216 0.112806i −0.852872 0.522120i \(-0.825141\pi\)
0.912393 + 0.409314i \(0.134232\pi\)
\(152\) 1.37125 0.674199i 0.111223 0.0546848i
\(153\) −2.61045 5.71609i −0.211042 0.462119i
\(154\) 7.42531 11.6552i 0.598349 0.939201i
\(155\) 10.5140 23.0224i 0.844501 1.84920i
\(156\) −0.0676656 2.36861i −0.00541758 0.189640i
\(157\) 4.25975 4.38318i 0.339965 0.349816i −0.525492 0.850798i \(-0.676119\pi\)
0.865457 + 0.500982i \(0.167028\pi\)
\(158\) 8.89323 + 9.15091i 0.707507 + 0.728008i
\(159\) 0.130171 4.55657i 0.0103232 0.361359i
\(160\) −3.42749 1.68518i −0.270967 0.133225i
\(161\) −30.4362 + 22.1132i −2.39871 + 1.74277i
\(162\) 0.296441 + 3.45139i 0.0232906 + 0.271167i
\(163\) −1.18441 + 4.50597i −0.0927703 + 0.352935i −0.997296 0.0734833i \(-0.976588\pi\)
0.904526 + 0.426418i \(0.140225\pi\)
\(164\) 3.43342 2.20652i 0.268105 0.172301i
\(165\) −6.56614 7.96551i −0.511173 0.620114i
\(166\) 4.16688 + 2.67789i 0.323412 + 0.207845i
\(167\) 4.03567 3.70390i 0.312289 0.286617i −0.504669 0.863313i \(-0.668386\pi\)
0.816959 + 0.576696i \(0.195658\pi\)
\(168\) −3.30733 + 0.769087i −0.255166 + 0.0593364i
\(169\) −4.28086 + 1.52741i −0.329297 + 0.117493i
\(170\) 2.61202 + 9.93716i 0.200333 + 0.762146i
\(171\) 2.62966 + 2.41348i 0.201095 + 0.184564i
\(172\) 5.24237 + 2.96050i 0.399727 + 0.225736i
\(173\) 3.82883 + 4.96531i 0.291101 + 0.377506i 0.914629 0.404295i \(-0.132483\pi\)
−0.623528 + 0.781801i \(0.714301\pi\)
\(174\) 0.874143 + 1.27839i 0.0662686 + 0.0969147i
\(175\) 26.1607 + 30.1911i 1.97756 + 2.28223i
\(176\) 3.31487 0.107829i 0.249868 0.00812795i
\(177\) 0.245361 0.283161i 0.0184424 0.0212837i
\(178\) −16.1426 1.85219i −1.20994 0.138827i
\(179\) −18.6817 6.66562i −1.39634 0.498212i −0.472612 0.881270i \(-0.656689\pi\)
−0.923724 + 0.383059i \(0.874871\pi\)
\(180\) 0.763468 8.88890i 0.0569055 0.662539i
\(181\) −11.8419 19.6376i −0.880202 1.45965i −0.888083 0.459682i \(-0.847963\pi\)
0.00788121 0.999969i \(-0.497491\pi\)
\(182\) −6.25650 10.3752i −0.463763 0.769065i
\(183\) −0.384773 + 4.47983i −0.0284432 + 0.331158i
\(184\) −8.50387 3.03418i −0.626914 0.223682i
\(185\) 26.7072 + 3.06437i 1.96355 + 0.225297i
\(186\) 3.53639 4.08121i 0.259301 0.299249i
\(187\) −6.05899 6.54949i −0.443077 0.478946i
\(188\) 7.13632 + 8.23575i 0.520469 + 0.600654i
\(189\) −10.2268 14.9563i −0.743893 1.08791i
\(190\) −3.56380 4.62161i −0.258545 0.335287i
\(191\) −8.41659 4.75307i −0.609003 0.343920i 0.156184 0.987728i \(-0.450081\pi\)
−0.765187 + 0.643808i \(0.777354\pi\)
\(192\) −0.600389 0.551032i −0.0433294 0.0397673i
\(193\) 5.58002 + 21.2286i 0.401658 + 1.52807i 0.793810 + 0.608166i \(0.208095\pi\)
−0.392151 + 0.919901i \(0.628269\pi\)
\(194\) 3.90406 1.39297i 0.280295 0.100009i
\(195\) −8.81504 + 2.04985i −0.631258 + 0.146793i
\(196\) −7.63387 + 7.00630i −0.545276 + 0.500450i
\(197\) −13.9031 8.93500i −0.990557 0.636593i −0.0582661 0.998301i \(-0.518557\pi\)
−0.932291 + 0.361709i \(0.882194\pi\)
\(198\) 3.04401 + 7.12422i 0.216328 + 0.506296i
\(199\) 6.73028 4.32529i 0.477097 0.306612i −0.279901 0.960029i \(-0.590302\pi\)
0.756998 + 0.653417i \(0.226665\pi\)
\(200\) −2.43732 + 9.27251i −0.172344 + 0.655666i
\(201\) 0.113616 + 1.32281i 0.00801385 + 0.0933036i
\(202\) 11.5465 8.38901i 0.812407 0.590248i
\(203\) 7.10600 + 3.49379i 0.498744 + 0.245216i
\(204\) −0.0626031 + 2.19139i −0.00438309 + 0.153428i
\(205\) −10.8639 11.1786i −0.758765 0.780750i
\(206\) −5.01982 + 5.16527i −0.349747 + 0.359881i
\(207\) −0.602267 21.0821i −0.0418605 1.46531i
\(208\) 1.20791 2.64495i 0.0837534 0.183394i
\(209\) 4.61822 + 2.08702i 0.319449 + 0.144362i
\(210\) 5.38749 + 11.7969i 0.371772 + 0.814067i
\(211\) −3.66323 + 1.80109i −0.252187 + 0.123992i −0.562937 0.826500i \(-0.690329\pi\)
0.310750 + 0.950492i \(0.399420\pi\)
\(212\) 2.61038 4.94723i 0.179282 0.339777i
\(213\) −0.191484 0.945013i −0.0131203 0.0647512i
\(214\) −8.37817 1.44990i −0.572720 0.0991130i
\(215\) 7.10574 21.8692i 0.484607 1.49147i
\(216\) 1.57762 4.05208i 0.107343 0.275709i
\(217\) 5.48337 27.0615i 0.372236 1.83706i
\(218\) 0.0765943 + 0.0626309i 0.00518762 + 0.00424190i
\(219\) −0.676081 0.198515i −0.0456853 0.0134144i
\(220\) −2.91793 12.3267i −0.196727 0.831068i
\(221\) −7.50539 + 2.20378i −0.504867 + 0.148242i
\(222\) 5.28341 + 2.23279i 0.354599 + 0.149855i
\(223\) 3.08336 1.74125i 0.206477 0.116603i −0.385026 0.922906i \(-0.625808\pi\)
0.591503 + 0.806303i \(0.298535\pi\)
\(224\) −4.05845 0.943752i −0.271166 0.0630571i
\(225\) −22.2494 + 2.55288i −1.48329 + 0.170192i
\(226\) 8.65281 12.6543i 0.575576 0.841754i
\(227\) 19.5242 1.11643i 1.29586 0.0741002i 0.604499 0.796606i \(-0.293373\pi\)
0.691365 + 0.722505i \(0.257010\pi\)
\(228\) −0.451779 1.16039i −0.0299198 0.0768484i
\(229\) −13.3027 + 2.30213i −0.879070 + 0.152129i −0.592152 0.805826i \(-0.701722\pi\)
−0.286918 + 0.957955i \(0.592631\pi\)
\(230\) −4.90770 + 34.1338i −0.323604 + 2.25072i
\(231\) −8.94543 6.84168i −0.588566 0.450149i
\(232\) 0.270455 + 1.88105i 0.0177562 + 0.123497i
\(233\) 6.79656 + 20.9177i 0.445257 + 1.37036i 0.882201 + 0.470872i \(0.156061\pi\)
−0.436944 + 0.899489i \(0.643939\pi\)
\(234\) 6.78105 + 0.387754i 0.443291 + 0.0253483i
\(235\) 25.4160 32.9600i 1.65795 2.15007i
\(236\) 0.423502 0.178974i 0.0275677 0.0116502i
\(237\) 8.05015 6.58257i 0.522913 0.427584i
\(238\) 5.23098 + 9.91380i 0.339074 + 0.642617i
\(239\) 16.5235 + 12.0050i 1.06882 + 0.776542i 0.975699 0.219113i \(-0.0703163\pi\)
0.0931189 + 0.995655i \(0.470316\pi\)
\(240\) −1.60728 + 2.66538i −0.103750 + 0.172049i
\(241\) 22.2207 1.43136 0.715680 0.698428i \(-0.246117\pi\)
0.715680 + 0.698428i \(0.246117\pi\)
\(242\) 7.26904 + 8.25597i 0.467272 + 0.530714i
\(243\) 15.8681 1.01794
\(244\) −2.84920 + 4.72487i −0.182402 + 0.302479i
\(245\) 32.0168 + 23.2615i 2.04548 + 1.48613i
\(246\) −1.55212 2.94159i −0.0989595 0.187549i
\(247\) 3.43957 2.81252i 0.218855 0.178957i
\(248\) 6.10396 2.57955i 0.387602 0.163802i
\(249\) 2.46486 3.19649i 0.156204 0.202569i
\(250\) 17.4927 + 1.00027i 1.10633 + 0.0632625i
\(251\) −0.582065 1.79141i −0.0367396 0.113073i 0.931005 0.365007i \(-0.118933\pi\)
−0.967744 + 0.251934i \(0.918933\pi\)
\(252\) −1.38516 9.63399i −0.0872568 0.606884i
\(253\) −10.1748 28.1641i −0.639682 1.77066i
\(254\) −0.0425201 + 0.295734i −0.00266795 + 0.0185560i
\(255\) 8.25050 1.42780i 0.516666 0.0894126i
\(256\) −0.362808 0.931864i −0.0226755 0.0582415i
\(257\) −16.5275 + 0.945077i −1.03096 + 0.0589523i −0.564370 0.825522i \(-0.690881\pi\)
−0.466588 + 0.884475i \(0.654517\pi\)
\(258\) 2.76933 4.05002i 0.172411 0.252143i
\(259\) 29.1363 3.34307i 1.81044 0.207729i
\(260\) −10.8170 2.51538i −0.670841 0.155997i
\(261\) −3.86536 + 2.18287i −0.239259 + 0.135116i
\(262\) 12.6550 + 5.34804i 0.781827 + 0.330403i
\(263\) 23.9476 7.03164i 1.47667 0.433589i 0.558409 0.829566i \(-0.311412\pi\)
0.918261 + 0.395976i \(0.129594\pi\)
\(264\) 0.143619 2.69898i 0.00883917 0.166111i
\(265\) −20.4988 6.01900i −1.25923 0.369744i
\(266\) −4.92888 4.03032i −0.302209 0.247115i
\(267\) −2.62960 + 12.9776i −0.160929 + 0.794215i
\(268\) −0.591086 + 1.51819i −0.0361063 + 0.0927384i
\(269\) 0.667610 2.05469i 0.0407049 0.125277i −0.928639 0.370984i \(-0.879020\pi\)
0.969344 + 0.245708i \(0.0790203\pi\)
\(270\) −16.3647 2.83202i −0.995923 0.172351i
\(271\) 1.17882 + 5.81771i 0.0716083 + 0.353401i 0.999826 0.0186359i \(-0.00593233\pi\)
−0.928218 + 0.372037i \(0.878660\pi\)
\(272\) −1.25541 + 2.37928i −0.0761207 + 0.144265i
\(273\) −8.86035 + 4.35634i −0.536253 + 0.263658i
\(274\) −8.27513 18.1200i −0.499919 1.09467i
\(275\) −28.8721 + 13.3238i −1.74105 + 0.803454i
\(276\) −3.05659 + 6.69301i −0.183985 + 0.402872i
\(277\) −0.186887 6.54189i −0.0112289 0.393064i −0.985696 0.168533i \(-0.946097\pi\)
0.974467 0.224531i \(-0.0720849\pi\)
\(278\) −2.21155 + 2.27563i −0.132640 + 0.136484i
\(279\) 10.7880 + 11.1006i 0.645861 + 0.664575i
\(280\) −0.454448 + 15.9078i −0.0271585 + 0.950670i
\(281\) −8.41965 4.13966i −0.502274 0.246952i 0.172454 0.985018i \(-0.444830\pi\)
−0.674729 + 0.738066i \(0.735739\pi\)
\(282\) 7.18457 5.21990i 0.427835 0.310840i
\(283\) 1.10215 + 12.8321i 0.0655162 + 0.762792i 0.953200 + 0.302339i \(0.0977675\pi\)
−0.887684 + 0.460453i \(0.847687\pi\)
\(284\) 0.300791 1.14433i 0.0178486 0.0679032i
\(285\) −4.00098 + 2.57128i −0.236998 + 0.152309i
\(286\) 9.31720 2.48852i 0.550937 0.147150i
\(287\) −14.3061 9.19400i −0.844465 0.542704i
\(288\) 1.72095 1.57947i 0.101408 0.0930714i
\(289\) −9.50926 + 2.21128i −0.559368 + 0.130076i
\(290\) 6.83618 2.43915i 0.401435 0.143232i
\(291\) −0.858741 3.26699i −0.0503403 0.191514i
\(292\) −0.637022 0.584653i −0.0372789 0.0342142i
\(293\) −7.35491 4.15351i −0.429678 0.242651i 0.261691 0.965152i \(-0.415720\pi\)
−0.691370 + 0.722501i \(0.742992\pi\)
\(294\) 5.15630 + 6.68681i 0.300722 + 0.389983i
\(295\) −0.991171 1.44954i −0.0577082 0.0843956i
\(296\) 4.60922 + 5.31932i 0.267905 + 0.309179i
\(297\) 13.6983 4.51085i 0.794854 0.261746i
\(298\) −13.8160 + 15.9446i −0.800342 + 0.923644i
\(299\) −26.0825 2.99269i −1.50839 0.173072i
\(300\) 7.35872 + 2.62558i 0.424856 + 0.151588i
\(301\) 2.14674 24.9940i 0.123736 1.44063i
\(302\) −0.809356 1.34217i −0.0465732 0.0772330i
\(303\) −6.00612 9.96003i −0.345042 0.572189i
\(304\) 0.130761 1.52242i 0.00749967 0.0873170i
\(305\) 19.8476 + 7.08162i 1.13647 + 0.405493i
\(306\) −6.24300 0.716317i −0.356888 0.0409491i
\(307\) −14.6056 + 16.8557i −0.833584 + 0.962007i −0.999710 0.0240977i \(-0.992329\pi\)
0.166126 + 0.986105i \(0.446874\pi\)
\(308\) −6.14648 12.3774i −0.350228 0.705266i
\(309\) 3.84380 + 4.43598i 0.218666 + 0.252354i
\(310\) −14.2858 20.8923i −0.811378 1.18660i
\(311\) −6.20584 8.04787i −0.351901 0.456353i 0.582367 0.812926i \(-0.302127\pi\)
−0.934267 + 0.356573i \(0.883945\pi\)
\(312\) −2.06330 1.16520i −0.116811 0.0659663i
\(313\) −11.7391 10.7740i −0.663532 0.608984i 0.271970 0.962306i \(-0.412325\pi\)
−0.935502 + 0.353321i \(0.885052\pi\)
\(314\) −1.55381 5.91130i −0.0876865 0.333594i
\(315\) −35.0121 + 12.4923i −1.97271 + 0.703862i
\(316\) 12.4288 2.89020i 0.699175 0.162586i
\(317\) −16.8473 + 15.4623i −0.946237 + 0.868449i −0.991445 0.130529i \(-0.958333\pi\)
0.0452070 + 0.998978i \(0.485605\pi\)
\(318\) −3.83479 2.46447i −0.215044 0.138201i
\(319\) −4.24345 + 4.66044i −0.237588 + 0.260934i
\(320\) −3.21305 + 2.06490i −0.179615 + 0.115431i
\(321\) −1.76150 + 6.70142i −0.0983171 + 0.374037i
\(322\) 3.21944 + 37.4832i 0.179412 + 2.08886i
\(323\) −3.32559 + 2.41619i −0.185041 + 0.134440i
\(324\) 3.10868 + 1.52843i 0.172704 + 0.0849131i
\(325\) −0.796077 + 27.8663i −0.0441584 + 1.54575i
\(326\) 3.24706 + 3.34114i 0.179838 + 0.185049i
\(327\) 0.0561937 0.0578220i 0.00310752 0.00319756i
\(328\) −0.116546 4.07965i −0.00643519 0.225261i
\(329\) 18.8627 41.3035i 1.03993 2.27713i
\(330\) −10.2120 + 1.50954i −0.562152 + 0.0830973i
\(331\) 8.95769 + 19.6146i 0.492359 + 1.07812i 0.978878 + 0.204446i \(0.0655393\pi\)
−0.486519 + 0.873670i \(0.661733\pi\)
\(332\) 4.44497 2.18545i 0.243950 0.119942i
\(333\) −7.67254 + 14.5411i −0.420453 + 0.796846i
\(334\) −1.08783 5.36863i −0.0595231 0.293758i
\(335\) 6.13136 + 1.06107i 0.334992 + 0.0579727i
\(336\) −1.04929 + 3.22939i −0.0572435 + 0.176177i
\(337\) −6.52943 + 16.7707i −0.355681 + 0.913559i 0.634393 + 0.773011i \(0.281250\pi\)
−0.990074 + 0.140548i \(0.955114\pi\)
\(338\) −0.902631 + 4.45466i −0.0490967 + 0.242302i
\(339\) −9.67109 7.90801i −0.525261 0.429504i
\(340\) 9.85852 + 2.89472i 0.534653 + 0.156988i
\(341\) 19.4786 + 10.1794i 1.05482 + 0.551248i
\(342\) 3.42474 1.00559i 0.185189 0.0543763i
\(343\) 12.9023 + 5.45257i 0.696661 + 0.294411i
\(344\) 5.24237 2.96050i 0.282650 0.159620i
\(345\) 27.3722 + 6.36514i 1.47367 + 0.342687i
\(346\) 6.22924 0.714739i 0.334886 0.0384246i
\(347\) −14.3371 + 20.9673i −0.769654 + 1.12558i 0.219052 + 0.975713i \(0.429704\pi\)
−0.988706 + 0.149869i \(0.952115\pi\)
\(348\) 1.54616 0.0884124i 0.0828827 0.00473940i
\(349\) 6.16600 + 15.8372i 0.330058 + 0.847748i 0.994910 + 0.100772i \(0.0321312\pi\)
−0.664851 + 0.746976i \(0.731505\pi\)
\(350\) 39.3634 6.81211i 2.10406 0.364123i
\(351\) 1.79940 12.5151i 0.0960448 0.668006i
\(352\) 1.61945 2.89437i 0.0863171 0.154270i
\(353\) −0.855060 5.94708i −0.0455103 0.316531i −0.999842 0.0177816i \(-0.994340\pi\)
0.954332 0.298749i \(-0.0965694\pi\)
\(354\) −0.115781 0.356338i −0.00615370 0.0189392i
\(355\) −4.51168 0.257987i −0.239455 0.0136926i
\(356\) −9.92211 + 12.8672i −0.525871 + 0.681961i
\(357\) 8.41417 3.55586i 0.445325 0.188196i
\(358\) −15.3553 + 12.5560i −0.811552 + 0.663603i
\(359\) −10.7755 20.4219i −0.568710 1.07782i −0.985636 0.168885i \(-0.945984\pi\)
0.416926 0.908940i \(-0.363107\pi\)
\(360\) −7.21775 5.24400i −0.380409 0.276383i
\(361\) −8.60583 + 14.2712i −0.452938 + 0.751114i
\(362\) −22.9318 −1.20527
\(363\) 7.21024 5.32625i 0.378440 0.279556i
\(364\) −12.1157 −0.635034
\(365\) −1.70535 + 2.82801i −0.0892621 + 0.148025i
\(366\) 3.63760 + 2.64287i 0.190140 + 0.138145i
\(367\) −2.48144 4.70285i −0.129530 0.245487i 0.811109 0.584895i \(-0.198864\pi\)
−0.940639 + 0.339408i \(0.889773\pi\)
\(368\) −6.98969 + 5.71544i −0.364363 + 0.297938i
\(369\) 8.78155 3.71112i 0.457149 0.193193i
\(370\) 16.4157 21.2883i 0.853411 1.10672i
\(371\) −23.2693 1.33059i −1.20808 0.0690807i
\(372\) −1.66876 5.13592i −0.0865212 0.266285i
\(373\) −0.500779 3.48300i −0.0259294 0.180343i 0.972741 0.231894i \(-0.0744924\pi\)
−0.998670 + 0.0515517i \(0.983583\pi\)
\(374\) −8.73750 + 1.80647i −0.451805 + 0.0934106i
\(375\) 2.03205 14.1332i 0.104934 0.729835i
\(376\) 10.7379 1.85826i 0.553762 0.0958324i
\(377\) 2.00481 + 5.14931i 0.103253 + 0.265203i
\(378\) −18.0889 + 1.03436i −0.930393 + 0.0532018i
\(379\) 11.0271 16.1267i 0.566426 0.828371i −0.430828 0.902434i \(-0.641778\pi\)
0.997254 + 0.0740630i \(0.0235966\pi\)
\(380\) −5.79805 + 0.665264i −0.297434 + 0.0341273i
\(381\) 0.237151 + 0.0551472i 0.0121496 + 0.00282528i
\(382\) −8.41659 + 4.75307i −0.430630 + 0.243188i
\(383\) −12.3672 5.22642i −0.631934 0.267058i 0.0496848 0.998765i \(-0.484178\pi\)
−0.681619 + 0.731707i \(0.738724\pi\)
\(384\) −0.781915 + 0.229591i −0.0399019 + 0.0117163i
\(385\) −41.6700 + 32.3961i −2.12370 + 1.65106i
\(386\) 21.0606 + 6.18395i 1.07196 + 0.314755i
\(387\) 10.8871 + 8.90230i 0.553420 + 0.452529i
\(388\) 0.823182 4.06256i 0.0417907 0.206245i
\(389\) −5.68303 + 14.5967i −0.288141 + 0.740084i 0.711172 + 0.703018i \(0.248165\pi\)
−0.999313 + 0.0370658i \(0.988199\pi\)
\(390\) −2.79668 + 8.60729i −0.141615 + 0.435847i
\(391\) 23.9337 + 4.14189i 1.21038 + 0.209464i
\(392\) 2.05773 + 10.1553i 0.103931 + 0.512920i
\(393\) 5.22479 9.90208i 0.263556 0.499494i
\(394\) −14.8310 + 7.29192i −0.747176 + 0.367362i
\(395\) −20.2459 44.3324i −1.01868 2.23061i
\(396\) 7.67274 + 1.07220i 0.385570 + 0.0538800i
\(397\) −6.50748 + 14.2494i −0.326601 + 0.715157i −0.999702 0.0243936i \(-0.992235\pi\)
0.673101 + 0.739550i \(0.264962\pi\)
\(398\) −0.228457 7.99704i −0.0114515 0.400855i
\(399\) −3.61609 + 3.72087i −0.181031 + 0.186276i
\(400\) 6.68188 + 6.87549i 0.334094 + 0.343775i
\(401\) −0.264464 + 9.25746i −0.0132067 + 0.462295i 0.965896 + 0.258930i \(0.0833698\pi\)
−0.979103 + 0.203366i \(0.934812\pi\)
\(402\) 1.19145 + 0.585799i 0.0594244 + 0.0292170i
\(403\) 15.5885 11.3257i 0.776517 0.564172i
\(404\) −1.22135 14.2199i −0.0607642 0.707465i
\(405\) 3.36347 12.7960i 0.167132 0.635837i
\(406\) 6.66142 4.28104i 0.330601 0.212464i
\(407\) −3.88960 + 23.0176i −0.192800 + 1.14094i
\(408\) 1.84427 + 1.18524i 0.0913050 + 0.0586781i
\(409\) −12.9720 + 11.9056i −0.641423 + 0.588693i −0.929458 0.368927i \(-0.879725\pi\)
0.288035 + 0.957620i \(0.406998\pi\)
\(410\) −15.1829 + 3.53063i −0.749829 + 0.174365i
\(411\) −15.2894 + 5.45523i −0.754169 + 0.269087i
\(412\) 1.83105 + 6.96605i 0.0902095 + 0.343193i
\(413\) −1.41140 1.29537i −0.0694502 0.0637408i
\(414\) −18.3647 10.3710i −0.902573 0.509707i
\(415\) −11.5522 14.9812i −0.567076 0.735397i
\(416\) −1.64124 2.40024i −0.0804684 0.117681i
\(417\) 1.69344 + 1.95434i 0.0829282 + 0.0957043i
\(418\) 4.17206 2.87708i 0.204062 0.140722i
\(419\) 8.87387 10.2410i 0.433517 0.500305i −0.496390 0.868099i \(-0.665342\pi\)
0.929907 + 0.367794i \(0.119887\pi\)
\(420\) 12.8844 + 1.47835i 0.628694 + 0.0721359i
\(421\) 6.85448 + 2.44567i 0.334067 + 0.119195i 0.497756 0.867317i \(-0.334158\pi\)
−0.163689 + 0.986512i \(0.552339\pi\)
\(422\) −0.349322 + 4.06708i −0.0170047 + 0.197982i
\(423\) 13.1451 + 21.7987i 0.639135 + 1.05989i
\(424\) −2.88856 4.79013i −0.140281 0.232629i
\(425\) 2.20715 25.6974i 0.107062 1.24651i
\(426\) −0.908143 0.324025i −0.0439997 0.0156991i
\(427\) 22.8399 + 2.62064i 1.10530 + 0.126822i
\(428\) −5.56808 + 6.42591i −0.269143 + 0.310608i
\(429\) −1.37077 7.73851i −0.0661813 0.373619i
\(430\) −15.0583 17.3782i −0.726175 0.838051i
\(431\) 2.74775 + 4.01845i 0.132354 + 0.193562i 0.885956 0.463769i \(-0.153503\pi\)
−0.753602 + 0.657331i \(0.771685\pi\)
\(432\) −2.65532 3.44347i −0.127754 0.165674i
\(433\) 14.9291 + 8.43084i 0.717446 + 0.405161i 0.806788 0.590840i \(-0.201204\pi\)
−0.0893422 + 0.996001i \(0.528476\pi\)
\(434\) −20.3425 18.6702i −0.976471 0.896197i
\(435\) −1.50369 5.72064i −0.0720966 0.274284i
\(436\) 0.0931870 0.0332491i 0.00446285 0.00159234i
\(437\) −13.4380 + 3.12487i −0.642825 + 0.149483i
\(438\) −0.519125 + 0.476449i −0.0248048 + 0.0227656i
\(439\) −14.2158 9.13592i −0.678481 0.436034i 0.155493 0.987837i \(-0.450303\pi\)
−0.833974 + 0.551803i \(0.813940\pi\)
\(440\) −12.0628 3.86673i −0.575071 0.184339i
\(441\) −20.3615 + 13.0856i −0.969596 + 0.623122i
\(442\) −1.98856 + 7.56526i −0.0945861 + 0.359843i
\(443\) −0.420941 4.90093i −0.0199995 0.232850i −0.999506 0.0314363i \(-0.989992\pi\)
0.979506 0.201414i \(-0.0645536\pi\)
\(444\) 4.64038 3.37143i 0.220223 0.160001i
\(445\) 55.6915 + 27.3817i 2.64003 + 1.29802i
\(446\) 0.101118 3.53961i 0.00478810 0.167605i
\(447\) 11.9825 + 12.3297i 0.566752 + 0.583174i
\(448\) −2.90395 + 2.98810i −0.137199 + 0.141174i
\(449\) −0.673717 23.5832i −0.0317947 1.11296i −0.846268 0.532757i \(-0.821156\pi\)
0.814473 0.580201i \(-0.197026\pi\)
\(450\) −9.30338 + 20.3716i −0.438566 + 0.960325i
\(451\) 10.1948 8.90473i 0.480054 0.419307i
\(452\) −6.36824 13.9445i −0.299537 0.655894i
\(453\) −1.14620 + 0.563546i −0.0538529 + 0.0264777i
\(454\) 9.12618 17.2960i 0.428313 0.811743i
\(455\) 9.18960 + 45.3524i 0.430815 + 2.12616i
\(456\) −1.22699 0.212339i −0.0574592 0.00994370i
\(457\) 6.96469 21.4351i 0.325795 1.00269i −0.645286 0.763941i \(-0.723262\pi\)
0.971081 0.238752i \(-0.0767382\pi\)
\(458\) −4.89808 + 12.5806i −0.228872 + 0.587853i
\(459\) −2.32308 + 11.4648i −0.108432 + 0.535133i
\(460\) 26.6961 + 21.8293i 1.24471 + 1.01780i
\(461\) −15.7259 4.61754i −0.732429 0.215060i −0.105810 0.994386i \(-0.533744\pi\)
−0.626619 + 0.779326i \(0.715562\pi\)
\(462\) −10.4783 + 4.12739i −0.487493 + 0.192023i
\(463\) −35.2125 + 10.3393i −1.63646 + 0.480509i −0.965374 0.260868i \(-0.915991\pi\)
−0.671089 + 0.741377i \(0.734173\pi\)
\(464\) 1.75050 + 0.739768i 0.0812649 + 0.0343429i
\(465\) −17.9595 + 10.1422i −0.832850 + 0.470332i
\(466\) 21.4225 + 4.98160i 0.992380 + 0.230768i
\(467\) 17.1323 1.96574i 0.792786 0.0909637i 0.291868 0.956459i \(-0.405723\pi\)
0.500918 + 0.865495i \(0.332996\pi\)
\(468\) 3.83377 5.60671i 0.177216 0.259170i
\(469\) 6.77737 0.387544i 0.312950 0.0178951i
\(470\) −15.1005 38.7854i −0.696535 1.78904i
\(471\) −4.90796 + 0.849355i −0.226147 + 0.0391362i
\(472\) 0.0654317 0.455087i 0.00301174 0.0209471i
\(473\) 18.6359 + 7.17082i 0.856880 + 0.329715i
\(474\) −1.47990 10.2930i −0.0679742 0.472771i
\(475\) 4.52709 + 13.9330i 0.207717 + 0.639288i
\(476\) 11.1909 + 0.639921i 0.512936 + 0.0293307i
\(477\) 7.97887 10.3472i 0.365327 0.473765i
\(478\) 18.8132 7.95053i 0.860497 0.363649i
\(479\) −11.9834 + 9.79879i −0.547536 + 0.447718i −0.865876 0.500258i \(-0.833238\pi\)
0.318340 + 0.947977i \(0.396875\pi\)
\(480\) 1.45250 + 2.75279i 0.0662972 + 0.125647i
\(481\) 16.5572 + 12.0295i 0.754945 + 0.548500i
\(482\) 11.4747 19.0287i 0.522659 0.866732i
\(483\) 30.6585 1.39501
\(484\) 10.8237 1.96148i 0.491987 0.0891580i
\(485\) −15.8317 −0.718881
\(486\) 8.19423 13.5886i 0.371698 0.616391i
\(487\) 9.89107 + 7.18628i 0.448207 + 0.325642i 0.788888 0.614538i \(-0.210657\pi\)
−0.340680 + 0.940179i \(0.610657\pi\)
\(488\) 2.57482 + 4.87983i 0.116557 + 0.220899i
\(489\) 2.93923 2.40340i 0.132917 0.108686i
\(490\) 36.4534 15.4053i 1.64680 0.695942i
\(491\) 12.1097 15.7041i 0.546503 0.708717i −0.434943 0.900458i \(-0.643231\pi\)
0.981446 + 0.191741i \(0.0614132\pi\)
\(492\) −3.32054 0.189875i −0.149702 0.00856024i
\(493\) −1.57982 4.86217i −0.0711513 0.218981i
\(494\) −0.632316 4.39785i −0.0284492 0.197869i
\(495\) −1.80614 29.5345i −0.0811799 1.32748i
\(496\) 0.943070 6.55919i 0.0423451 0.294517i
\(497\) −4.85786 + 0.840686i −0.217905 + 0.0377099i
\(498\) −1.46446 3.76144i −0.0656241 0.168554i
\(499\) 31.6591 1.81033i 1.41726 0.0810417i 0.668414 0.743789i \(-0.266973\pi\)
0.748843 + 0.662748i \(0.230610\pi\)
\(500\) 9.88976 14.4633i 0.442284 0.646819i
\(501\) −4.43484 + 0.508851i −0.198134 + 0.0227338i
\(502\) −1.83465 0.426630i −0.0818845 0.0190414i
\(503\) 30.8815 17.4396i 1.37694 0.777594i 0.387408 0.921908i \(-0.373370\pi\)
0.989532 + 0.144314i \(0.0460977\pi\)
\(504\) −8.96535 3.78879i −0.399348 0.168766i
\(505\) −52.3027 + 15.3575i −2.32744 + 0.683398i
\(506\) −29.3725 5.83072i −1.30577 0.259207i
\(507\) 3.55395 + 1.04353i 0.157837 + 0.0463450i
\(508\) 0.231294 + 0.189128i 0.0102620 + 0.00839120i
\(509\) −1.72902 + 8.53304i −0.0766373 + 0.378220i −0.999983 0.00574845i \(-0.998170\pi\)
0.923346 + 0.383969i \(0.125443\pi\)
\(510\) 3.03784 7.80262i 0.134518 0.345506i
\(511\) −1.11331 + 3.42643i −0.0492501 + 0.151576i
\(512\) −0.985354 0.170522i −0.0435469 0.00753609i
\(513\) −1.31952 6.51208i −0.0582582 0.287515i
\(514\) −7.72545 + 14.6414i −0.340755 + 0.645803i
\(515\) 24.6871 12.1378i 1.08784 0.534856i
\(516\) −2.03815 4.46293i −0.0897246 0.196470i
\(517\) 27.4083 + 23.5602i 1.20542 + 1.03618i
\(518\) 12.1831 26.6772i 0.535293 1.17213i
\(519\) −0.145912 5.10759i −0.00640483 0.224198i
\(520\) −7.73991 + 7.96418i −0.339418 + 0.349253i
\(521\) −4.55085 4.68272i −0.199377 0.205154i 0.610069 0.792348i \(-0.291142\pi\)
−0.809446 + 0.587194i \(0.800232\pi\)
\(522\) −0.126764 + 4.43732i −0.00554831 + 0.194216i
\(523\) 6.32008 + 3.10737i 0.276358 + 0.135876i 0.574138 0.818758i \(-0.305337\pi\)
−0.297780 + 0.954634i \(0.596246\pi\)
\(524\) 11.1148 8.07537i 0.485552 0.352774i
\(525\) −2.78590 32.4356i −0.121587 1.41561i
\(526\) 6.34492 24.1386i 0.276652 1.05249i
\(527\) −14.9969 + 9.63790i −0.653273 + 0.419833i
\(528\) −2.23711 1.51674i −0.0973576 0.0660075i
\(529\) 49.2319 + 31.6394i 2.14052 + 1.37563i
\(530\) −15.7399 + 14.4460i −0.683698 + 0.627492i
\(531\) 1.04606 0.243250i 0.0453951 0.0105562i
\(532\) −5.99662 + 2.13959i −0.259987 + 0.0927630i
\(533\) −3.01688 11.4774i −0.130676 0.497142i
\(534\) 9.75542 + 8.95344i 0.422158 + 0.387453i
\(535\) 28.2773 + 15.9690i 1.22254 + 0.690398i
\(536\) 0.994868 + 1.29017i 0.0429717 + 0.0557267i
\(537\) 9.12380 + 13.3431i 0.393721 + 0.575798i
\(538\) −1.41478 1.63275i −0.0609956 0.0703927i
\(539\) −21.6485 + 26.6899i −0.932467 + 1.14961i
\(540\) −10.8759 + 12.5514i −0.468023 + 0.540128i
\(541\) 7.99817 + 0.917704i 0.343868 + 0.0394552i 0.284205 0.958763i \(-0.408270\pi\)
0.0596626 + 0.998219i \(0.480998\pi\)
\(542\) 5.59073 + 1.99477i 0.240142 + 0.0856826i
\(543\) −1.59920 + 18.6191i −0.0686282 + 0.799023i
\(544\) 1.38920 + 2.30372i 0.0595613 + 0.0987714i
\(545\) −0.195142 0.323607i −0.00835896 0.0138618i
\(546\) −0.844914 + 9.83716i −0.0361590 + 0.420991i
\(547\) −32.3963 11.5590i −1.38517 0.494226i −0.464846 0.885392i \(-0.653890\pi\)
−0.920320 + 0.391165i \(0.872072\pi\)
\(548\) −19.7903 2.27072i −0.845400 0.0970006i
\(549\) −8.43999 + 9.74027i −0.360210 + 0.415704i
\(550\) −3.49966 + 31.6049i −0.149226 + 1.34764i
\(551\) 1.90163 + 2.19459i 0.0810120 + 0.0934928i
\(552\) 4.15313 + 6.07376i 0.176769 + 0.258516i
\(553\) −32.4677 42.1049i −1.38067 1.79048i
\(554\) −5.69864 3.21817i −0.242112 0.136727i
\(555\) −16.1399 14.8131i −0.685101 0.628780i
\(556\) 0.806697 + 3.06899i 0.0342116 + 0.130154i
\(557\) 24.1451 8.61497i 1.02306 0.365028i 0.229365 0.973340i \(-0.426335\pi\)
0.793698 + 0.608313i \(0.208153\pi\)
\(558\) 15.0769 3.50598i 0.638255 0.148420i
\(559\) 12.8974 11.8372i 0.545503 0.500658i
\(560\) 13.3879 + 8.60389i 0.565743 + 0.363581i
\(561\) 0.857413 + 7.22027i 0.0362000 + 0.304840i
\(562\) −7.89288 + 5.07245i −0.332941 + 0.213968i
\(563\) −11.4816 + 43.6807i −0.483893 + 1.84092i 0.0549139 + 0.998491i \(0.482512\pi\)
−0.538807 + 0.842429i \(0.681125\pi\)
\(564\) −0.759959 8.84804i −0.0320000 0.372570i
\(565\) −47.3680 + 34.4149i −1.99279 + 1.44784i
\(566\) 11.5579 + 5.68266i 0.485817 + 0.238860i
\(567\) 0.412178 14.4281i 0.0173098 0.605923i
\(568\) −0.824615 0.848509i −0.0346001 0.0356026i
\(569\) 6.74283 6.93821i 0.282674 0.290865i −0.560893 0.827888i \(-0.689542\pi\)
0.843567 + 0.537023i \(0.180451\pi\)
\(570\) 0.135812 + 4.75404i 0.00568854 + 0.199125i
\(571\) 3.52467 7.71796i 0.147503 0.322986i −0.821430 0.570309i \(-0.806823\pi\)
0.968933 + 0.247323i \(0.0795507\pi\)
\(572\) 2.68033 9.26384i 0.112070 0.387341i
\(573\) 3.27224 + 7.16520i 0.136700 + 0.299331i
\(574\) −15.2609 + 7.50329i −0.636979 + 0.313181i
\(575\) 40.3971 76.5610i 1.68467 3.19281i
\(576\) −0.463887 2.28937i −0.0193286 0.0953905i
\(577\) −34.0711 5.89624i −1.41840 0.245464i −0.590816 0.806806i \(-0.701194\pi\)
−0.827583 + 0.561343i \(0.810285\pi\)
\(578\) −3.01693 + 9.28515i −0.125488 + 0.386211i
\(579\) 6.48968 16.6686i 0.269702 0.692723i
\(580\) 1.44143 7.11373i 0.0598520 0.295381i
\(581\) −15.9772 13.0645i −0.662845 0.542005i
\(582\) −3.24114 0.951683i −0.134349 0.0394485i
\(583\) 6.16522 17.4977i 0.255337 0.724682i
\(584\) −0.829623 + 0.243599i −0.0343301 + 0.0100802i
\(585\) −23.8954 10.0983i −0.987952 0.417512i
\(586\) −7.35491 + 4.15351i −0.303829 + 0.171580i
\(587\) −14.7931 3.44000i −0.610578 0.141984i −0.0902055 0.995923i \(-0.528752\pi\)
−0.520373 + 0.853939i \(0.674207\pi\)
\(588\) 8.38895 0.962542i 0.345954 0.0396946i
\(589\) 5.71539 8.35849i 0.235498 0.344406i
\(590\) −1.75315 + 0.100249i −0.0721761 + 0.00412718i
\(591\) 4.88630 + 12.5504i 0.200996 + 0.516253i
\(592\) 6.93538 1.20022i 0.285042 0.0493285i
\(593\) 1.25130 8.70297i 0.0513847 0.357388i −0.947866 0.318671i \(-0.896764\pi\)
0.999250 0.0387177i \(-0.0123273\pi\)
\(594\) 3.21089 14.0599i 0.131744 0.576884i
\(595\) −6.09279 42.3763i −0.249780 1.73726i
\(596\) 6.51954 + 20.0651i 0.267051 + 0.821898i
\(597\) −6.50901 0.372199i −0.266396 0.0152331i
\(598\) −16.0317 + 20.7903i −0.655586 + 0.850179i
\(599\) −9.87706 + 4.17408i −0.403566 + 0.170548i −0.581598 0.813476i \(-0.697572\pi\)
0.178032 + 0.984025i \(0.443027\pi\)
\(600\) 6.04844 4.94578i 0.246926 0.201911i
\(601\) −17.0253 32.2665i −0.694476 1.31618i −0.938119 0.346314i \(-0.887433\pi\)
0.243642 0.969865i \(-0.421658\pi\)
\(602\) −20.2950 14.7452i −0.827164 0.600970i
\(603\) −1.96522 + 3.25896i −0.0800301 + 0.132715i
\(604\) −1.56731 −0.0637730
\(605\) −15.5520 39.0285i −0.632279 1.58673i
\(606\) −11.6308 −0.472469
\(607\) 0.851372 1.41184i 0.0345561 0.0573049i −0.838592 0.544761i \(-0.816620\pi\)
0.873148 + 0.487456i \(0.162075\pi\)
\(608\) −1.23620 0.898153i −0.0501346 0.0364249i
\(609\) −3.01138 5.70720i −0.122027 0.231267i
\(610\) 16.3136 13.3396i 0.660519 0.540103i
\(611\) 29.1874 12.3347i 1.18080 0.499008i
\(612\) −3.83729 + 4.97628i −0.155113 + 0.201154i
\(613\) 19.4348 + 1.11132i 0.784965 + 0.0448859i 0.444975 0.895543i \(-0.353213\pi\)
0.339990 + 0.940429i \(0.389576\pi\)
\(614\) 6.89210 + 21.2117i 0.278143 + 0.856035i
\(615\) 1.80783 + 12.5738i 0.0728988 + 0.507023i
\(616\) −13.7734 1.12810i −0.554945 0.0454526i
\(617\) −3.23867 + 22.5255i −0.130384 + 0.906841i 0.814669 + 0.579926i \(0.196918\pi\)
−0.945053 + 0.326916i \(0.893991\pi\)
\(618\) 5.78368 1.00091i 0.232654 0.0402623i
\(619\) 0.686098 + 1.76223i 0.0275766 + 0.0708299i 0.944979 0.327131i \(-0.106082\pi\)
−0.917403 + 0.397961i \(0.869718\pi\)
\(620\) −25.2682 + 1.44489i −1.01480 + 0.0580282i
\(621\) −22.1607 + 32.4090i −0.889277 + 1.30053i
\(622\) −10.0965 + 1.15846i −0.404831 + 0.0464501i
\(623\) 65.9437 + 15.3345i 2.64198 + 0.614366i
\(624\) −2.06330 + 1.16520i −0.0825979 + 0.0466452i
\(625\) −17.4853 7.38933i −0.699410 0.295573i
\(626\) −15.2884 + 4.48907i −0.611046 + 0.179419i
\(627\) −2.04505 3.58808i −0.0816716 0.143294i
\(628\) −5.86452 1.72198i −0.234020 0.0687144i
\(629\) −14.6581 11.9859i −0.584458 0.477909i
\(630\) −7.38241 + 36.4336i −0.294122 + 1.45155i
\(631\) 5.83387 14.9842i 0.232243 0.596510i −0.766723 0.641978i \(-0.778114\pi\)
0.998966 + 0.0454676i \(0.0144778\pi\)
\(632\) 3.94319 12.1359i 0.156852 0.482740i
\(633\) 3.27785 + 0.567254i 0.130283 + 0.0225463i
\(634\) 4.54123 + 22.4118i 0.180355 + 0.890088i
\(635\) 0.532527 1.00925i 0.0211327 0.0400509i
\(636\) −4.09072 + 2.01127i −0.162208 + 0.0797522i
\(637\) 12.5159 + 27.4061i 0.495900 + 1.08587i
\(638\) 1.79965 + 6.04052i 0.0712489 + 0.239146i
\(639\) 1.14814 2.51407i 0.0454195 0.0994549i
\(640\) 0.109066 + 3.81780i 0.00431120 + 0.150912i
\(641\) 4.94063 5.08379i 0.195143 0.200798i −0.612498 0.790473i \(-0.709835\pi\)
0.807641 + 0.589675i \(0.200744\pi\)
\(642\) 4.82913 + 4.96905i 0.190590 + 0.196113i
\(643\) 0.378040 13.2331i 0.0149084 0.521863i −0.957481 0.288498i \(-0.906844\pi\)
0.972389 0.233366i \(-0.0749739\pi\)
\(644\) 33.7613 + 16.5993i 1.33038 + 0.654104i
\(645\) −15.1601 + 11.0145i −0.596929 + 0.433694i
\(646\) 0.351770 + 4.09558i 0.0138402 + 0.161138i
\(647\) −1.73695 + 6.60805i −0.0682866 + 0.259789i −0.992528 0.122020i \(-0.961063\pi\)
0.924241 + 0.381810i \(0.124699\pi\)
\(648\) 2.91419 1.87283i 0.114480 0.0735719i
\(649\) 1.30270 0.792603i 0.0511354 0.0311124i
\(650\) 23.4522 + 15.0718i 0.919871 + 0.591166i
\(651\) −16.5776 + 15.2148i −0.649728 + 0.596315i
\(652\) 4.53795 1.05526i 0.177720 0.0413270i
\(653\) 11.5027 4.10417i 0.450137 0.160609i −0.101245 0.994862i \(-0.532283\pi\)
0.551382 + 0.834253i \(0.314101\pi\)
\(654\) −0.0204975 0.0779806i −0.000801516 0.00304928i
\(655\) −38.6588 35.4808i −1.51053 1.38635i
\(656\) −3.55379 2.00692i −0.138752 0.0783569i
\(657\) −1.23334 1.59943i −0.0481173 0.0623996i
\(658\) −25.6296 37.4820i −0.999144 1.46120i
\(659\) −13.1669 15.1954i −0.512909 0.591929i 0.438932 0.898520i \(-0.355357\pi\)
−0.951841 + 0.306591i \(0.900811\pi\)
\(660\) −3.98076 + 9.52456i −0.154951 + 0.370743i
\(661\) 8.67021 10.0060i 0.337232 0.389186i −0.561652 0.827374i \(-0.689834\pi\)
0.898884 + 0.438187i \(0.144379\pi\)
\(662\) 21.4227 + 2.45802i 0.832616 + 0.0955338i
\(663\) 6.00383 + 2.14216i 0.233170 + 0.0831948i
\(664\) 0.423868 4.93501i 0.0164493 0.191515i
\(665\) 12.5575 + 20.8242i 0.486958 + 0.807528i
\(666\) 8.49016 + 14.0793i 0.328987 + 0.545564i
\(667\) 1.46835 17.0957i 0.0568546 0.661947i
\(668\) −5.15917 1.84079i −0.199614 0.0712222i
\(669\) −2.86688 0.328944i −0.110840 0.0127177i
\(670\) 4.07487 4.70265i 0.157426 0.181679i
\(671\) −7.05663 + 16.8840i −0.272418 + 0.651801i
\(672\) 2.22363 + 2.56621i 0.0857784 + 0.0989935i
\(673\) 15.2104 + 22.2445i 0.586319 + 0.857464i 0.998562 0.0536102i \(-0.0170728\pi\)
−0.412243 + 0.911074i \(0.635255\pi\)
\(674\) 10.9898 + 14.2518i 0.423311 + 0.548960i
\(675\) 36.3013 + 20.5003i 1.39724 + 0.789056i
\(676\) 3.34863 + 3.07334i 0.128793 + 0.118205i
\(677\) 11.9153 + 45.3306i 0.457943 + 1.74220i 0.649162 + 0.760650i \(0.275120\pi\)
−0.191219 + 0.981547i \(0.561244\pi\)
\(678\) −11.7661 + 4.19815i −0.451876 + 0.161229i
\(679\) −16.8228 + 3.91197i −0.645599 + 0.150128i
\(680\) 7.56981 6.94751i 0.290289 0.266425i
\(681\) −13.4068 8.61605i −0.513751 0.330168i
\(682\) 18.7759 11.4238i 0.718965 0.437441i
\(683\) −35.8405 + 23.0333i −1.37140 + 0.881344i −0.998909 0.0466922i \(-0.985132\pi\)
−0.372489 + 0.928037i \(0.621496\pi\)
\(684\) 0.907386 3.45206i 0.0346948 0.131993i
\(685\) 6.51073 + 75.8030i 0.248762 + 2.89629i
\(686\) 11.3320 8.23321i 0.432659 0.314345i
\(687\) 9.87307 + 4.85426i 0.376681 + 0.185202i
\(688\) 0.171923 6.01810i 0.00655451 0.229438i
\(689\) −11.3356 11.6640i −0.431850 0.444363i
\(690\) 19.5857 20.1532i 0.745616 0.767220i
\(691\) 0.0635560 + 2.22475i 0.00241778 + 0.0846335i 0.999905 + 0.0137863i \(0.00438845\pi\)
−0.997487 + 0.0708472i \(0.977430\pi\)
\(692\) 2.60470 5.70349i 0.0990158 0.216814i
\(693\) −9.21709 30.9371i −0.350128 1.17520i
\(694\) 10.5517 + 23.1050i 0.400537 + 0.877053i
\(695\) 10.8763 5.34749i 0.412560 0.202842i
\(696\) 0.722719 1.36971i 0.0273946 0.0519185i
\(697\) 2.18041 + 10.7607i 0.0825889 + 0.407592i
\(698\) 16.7463 + 2.89806i 0.633857 + 0.109693i
\(699\) 5.53869 17.0463i 0.209492 0.644751i
\(700\) 14.4936 37.2266i 0.547808 1.40703i
\(701\) 0.285311 1.40806i 0.0107760 0.0531818i −0.974334 0.225108i \(-0.927726\pi\)
0.985110 + 0.171926i \(0.0549991\pi\)
\(702\) −9.78808 8.00368i −0.369427 0.302079i
\(703\) 10.3193 + 3.03003i 0.389201 + 0.114280i
\(704\) −1.64231 2.88146i −0.0618969 0.108599i
\(705\) −32.5443 + 9.55587i −1.22569 + 0.359895i
\(706\) −5.53432 2.33882i −0.208287 0.0880228i
\(707\) −51.7820 + 29.2427i −1.94746 + 1.09978i
\(708\) −0.364939 0.0848629i −0.0137152 0.00318934i
\(709\) 32.0526 3.67769i 1.20376 0.138119i 0.511189 0.859468i \(-0.329205\pi\)
0.692571 + 0.721350i \(0.256478\pi\)
\(710\) −2.55075 + 3.73035i −0.0957279 + 0.139998i
\(711\) 29.7584 1.70165i 1.11603 0.0638168i
\(712\) 5.89508 + 15.1414i 0.220927 + 0.567448i
\(713\) −58.9554 + 10.2026i −2.20790 + 0.382092i
\(714\) 1.30000 9.04170i 0.0486513 0.338377i
\(715\) −36.7102 3.00674i −1.37288 0.112446i
\(716\) 2.82285 + 19.6333i 0.105495 + 0.733733i
\(717\) −5.14334 15.8296i −0.192082 0.591167i
\(718\) −23.0527 1.31820i −0.860319 0.0491948i
\(719\) 0.619451 0.803318i 0.0231016 0.0299587i −0.780210 0.625518i \(-0.784888\pi\)
0.803311 + 0.595559i \(0.203070\pi\)
\(720\) −8.21792 + 3.47292i −0.306264 + 0.129428i
\(721\) 23.2333 18.9977i 0.865252 0.707513i
\(722\) 7.77707 + 14.7392i 0.289433 + 0.548536i
\(723\) −14.6498 10.6437i −0.544834 0.395845i
\(724\) −11.8419 + 19.6376i −0.440101 + 0.729826i
\(725\) −18.2200 −0.676675
\(726\) −0.837778 8.92495i −0.0310928 0.331236i
\(727\) −1.03011 −0.0382047 −0.0191023 0.999818i \(-0.506081\pi\)
−0.0191023 + 0.999818i \(0.506081\pi\)
\(728\) −6.25650 + 10.3752i −0.231881 + 0.384532i
\(729\) −2.05408 1.49237i −0.0760769 0.0552731i
\(730\) 1.54112 + 2.92075i 0.0570395 + 0.108102i
\(731\) −12.5382 + 10.2525i −0.463744 + 0.379201i
\(732\) 4.14167 1.75028i 0.153080 0.0646923i
\(733\) −15.5766 + 20.2002i −0.575337 + 0.746110i −0.986195 0.165590i \(-0.947047\pi\)
0.410858 + 0.911699i \(0.365229\pi\)
\(734\) −5.30869 0.303562i −0.195947 0.0112047i
\(735\) −9.96598 30.6721i −0.367601 1.13136i
\(736\) 1.28495 + 8.93705i 0.0473641 + 0.329424i
\(737\) −1.20302 + 5.26782i −0.0443140 + 0.194043i
\(738\) 1.35676 9.43649i 0.0499431 0.347362i
\(739\) −27.5663 + 4.77053i −1.01404 + 0.175487i −0.653236 0.757154i \(-0.726589\pi\)
−0.360805 + 0.932641i \(0.617498\pi\)
\(740\) −9.75315 25.0508i −0.358533 0.920884i
\(741\) −3.61487 + 0.206706i −0.132796 + 0.00759353i
\(742\) −13.1557 + 19.2395i −0.482960 + 0.706306i
\(743\) −12.0681 + 1.38468i −0.442734 + 0.0507990i −0.332493 0.943106i \(-0.607890\pi\)
−0.110241 + 0.993905i \(0.535162\pi\)
\(744\) −5.25988 1.22313i −0.192837 0.0448422i
\(745\) 70.1644 39.6237i 2.57062 1.45170i
\(746\) −3.24126 1.36977i −0.118671 0.0501508i
\(747\) 11.1014 3.25968i 0.406180 0.119265i
\(748\) −2.96505 + 8.41520i −0.108413 + 0.307690i
\(749\) 33.9934 + 9.98136i 1.24209 + 0.364711i
\(750\) −11.0536 9.03849i −0.403620 0.330039i
\(751\) −7.59490 + 37.4823i −0.277142 + 1.36775i 0.563482 + 0.826128i \(0.309462\pi\)
−0.840624 + 0.541620i \(0.817811\pi\)
\(752\) 3.95368 10.1549i 0.144176 0.370313i
\(753\) −0.474340 + 1.45987i −0.0172859 + 0.0532005i
\(754\) 5.44488 + 0.942274i 0.198291 + 0.0343156i
\(755\) 1.18879 + 5.86690i 0.0432644 + 0.213518i
\(756\) −8.45529 + 16.0246i −0.307516 + 0.582807i
\(757\) 11.5374 5.67255i 0.419334 0.206172i −0.219343 0.975648i \(-0.570391\pi\)
0.638676 + 0.769475i \(0.279482\pi\)
\(758\) −8.11567 17.7708i −0.294774 0.645466i
\(759\) −6.78253 + 23.4420i −0.246190 + 0.850891i
\(760\) −2.42440 + 5.30870i −0.0879422 + 0.192567i
\(761\) −0.319913 11.1984i −0.0115969 0.405943i −0.984567 0.175010i \(-0.944004\pi\)
0.972970 0.230933i \(-0.0741777\pi\)
\(762\) 0.169690 0.174607i 0.00614721 0.00632533i
\(763\) −0.287320 0.295645i −0.0104017 0.0107031i
\(764\) −0.276021 + 9.66201i −0.00998611 + 0.349559i
\(765\) 21.5382 + 10.5896i 0.778714 + 0.382868i
\(766\) −10.8620 + 7.89173i −0.392461 + 0.285140i
\(767\) −0.114403 1.33197i −0.00413085 0.0480946i
\(768\) −0.207169 + 0.788153i −0.00747557 + 0.0284400i
\(769\) 17.5123 11.2545i 0.631511 0.405847i −0.185358 0.982671i \(-0.559344\pi\)
0.816869 + 0.576824i \(0.195708\pi\)
\(770\) 6.22412 + 52.4133i 0.224302 + 1.88884i
\(771\) 11.3491 + 7.29362i 0.408728 + 0.262673i
\(772\) 16.1713 14.8418i 0.582016 0.534169i
\(773\) 31.2841 7.27481i 1.12521 0.261657i 0.377715 0.925922i \(-0.376710\pi\)
0.747497 + 0.664265i \(0.231255\pi\)
\(774\) 13.2455 4.72599i 0.476101 0.169872i
\(775\) 16.1512 + 61.4456i 0.580169 + 2.20719i
\(776\) −3.05388 2.80283i −0.109628 0.100616i
\(777\) −20.8105 11.7523i −0.746574 0.421610i
\(778\) 9.56520 + 12.4044i 0.342929 + 0.444718i
\(779\) −3.52007 5.14795i −0.126120 0.184444i
\(780\) 5.92665 + 6.83972i 0.212208 + 0.244901i
\(781\) 0.431895 3.90038i 0.0154544 0.139567i
\(782\) 15.9062 18.3567i 0.568804 0.656435i
\(783\) 8.20974 + 0.941980i 0.293392 + 0.0336636i
\(784\) 9.75908 + 3.48203i 0.348538 + 0.124358i
\(785\) −1.99769 + 23.2587i −0.0713006 + 0.830137i
\(786\) −5.78157 9.58765i −0.206222 0.341980i
\(787\) −9.24707 15.3345i −0.329622 0.546617i 0.646753 0.762700i \(-0.276127\pi\)
−0.976375 + 0.216082i \(0.930672\pi\)
\(788\) −1.41427 + 16.4661i −0.0503813 + 0.586579i
\(789\) −19.1565 6.83503i −0.681990 0.243334i
\(790\) −48.4190 5.55556i −1.72267 0.197658i
\(791\) −41.8294 + 48.2737i −1.48728 + 1.71642i
\(792\) 4.88036 6.01686i 0.173416 0.213800i
\(793\) 10.5061 + 12.1247i 0.373081 + 0.430559i
\(794\) 8.84201 + 12.9310i 0.313791 + 0.458905i
\(795\) 10.6315 + 13.7872i 0.377062 + 0.488982i
\(796\) −6.96623 3.93401i −0.246911 0.139437i
\(797\) 32.2587 + 29.6067i 1.14266 + 1.04872i 0.998246 + 0.0592070i \(0.0188572\pi\)
0.144415 + 0.989517i \(0.453870\pi\)
\(798\) 1.31902 + 5.01808i 0.0466929 + 0.177638i
\(799\) −27.6111 + 9.85163i −0.976811 + 0.348526i
\(800\) 9.33833 2.17154i 0.330160 0.0767754i
\(801\) −27.9629 + 25.6641i −0.988019 + 0.906796i
\(802\) 7.79105 + 5.00700i 0.275111 + 0.176803i
\(803\) −2.37360 1.60928i −0.0837626 0.0567902i
\(804\) 1.11691 0.717796i 0.0393905 0.0253147i
\(805\) 36.5284 138.968i 1.28746 4.89799i
\(806\) −1.64889 19.1977i −0.0580798 0.676211i
\(807\) −1.42435 + 1.03485i −0.0501394 + 0.0364284i
\(808\) −12.8079 6.29721i −0.450580 0.221535i
\(809\) −1.48067 + 51.8301i −0.0520574 + 1.82225i 0.385113 + 0.922870i \(0.374163\pi\)
−0.437170 + 0.899379i \(0.644019\pi\)
\(810\) −9.22093 9.48812i −0.323991 0.333378i
\(811\) 21.7043 22.3331i 0.762139 0.784223i −0.219369 0.975642i \(-0.570400\pi\)
0.981508 + 0.191419i \(0.0613089\pi\)
\(812\) −0.226120 7.91522i −0.00793524 0.277770i
\(813\) 2.00951 4.40021i 0.0704765 0.154322i
\(814\) 17.7025 + 15.2171i 0.620474 + 0.533359i
\(815\) −7.39211 16.1865i −0.258934 0.566987i
\(816\) 1.96736 0.967284i 0.0688712 0.0338617i
\(817\) 4.29315 8.13642i 0.150198 0.284657i
\(818\) 3.49663 + 17.2566i 0.122257 + 0.603361i
\(819\) −27.8865 4.82594i −0.974432 0.168632i
\(820\) −4.81695 + 14.8251i −0.168215 + 0.517714i
\(821\) 14.5232 37.3026i 0.506865 1.30187i −0.413391 0.910554i \(-0.635656\pi\)
0.920256 0.391317i \(-0.127981\pi\)
\(822\) −3.22380 + 15.9101i −0.112443 + 0.554929i
\(823\) −3.60044 2.94406i −0.125503 0.102624i 0.568178 0.822906i \(-0.307649\pi\)
−0.693681 + 0.720282i \(0.744012\pi\)
\(824\) 6.91092 + 2.02923i 0.240753 + 0.0706916i
\(825\) 25.4171 + 5.04554i 0.884911 + 0.175663i
\(826\) −1.83813 + 0.539723i −0.0639566 + 0.0187794i
\(827\) 5.61561 + 2.37318i 0.195274 + 0.0825234i 0.484714 0.874673i \(-0.338924\pi\)
−0.289440 + 0.957196i \(0.593469\pi\)
\(828\) −18.3647 + 10.3710i −0.638216 + 0.360417i
\(829\) −29.4118 6.83943i −1.02151 0.237543i −0.317900 0.948124i \(-0.602978\pi\)
−0.703615 + 0.710581i \(0.748432\pi\)
\(830\) −18.7946 + 2.15648i −0.652371 + 0.0748526i
\(831\) −3.01036 + 4.40251i −0.104428 + 0.152721i
\(832\) −2.90297 + 0.165998i −0.100643 + 0.00575495i
\(833\) −10.1131 25.9754i −0.350399 0.899994i
\(834\) 2.54808 0.440963i 0.0882329 0.0152693i
\(835\) −2.97743 + 20.7085i −0.103038 + 0.716646i
\(836\) −0.309342 5.05845i −0.0106988 0.174950i
\(837\) −4.10081 28.5217i −0.141745 0.985855i
\(838\) −4.18742 12.8875i −0.144652 0.445193i
\(839\) 16.7845 + 0.959774i 0.579466 + 0.0331351i 0.344365 0.938836i \(-0.388094\pi\)
0.235101 + 0.971971i \(0.424458\pi\)
\(840\) 7.91944 10.2701i 0.273247 0.354353i
\(841\) 23.3859 9.88298i 0.806412 0.340792i
\(842\) 5.63399 4.60689i 0.194160 0.158764i
\(843\) 3.56808 + 6.76226i 0.122891 + 0.232904i
\(844\) 3.30245 + 2.39937i 0.113675 + 0.0825897i
\(845\) 8.96450 14.8660i 0.308388 0.511405i
\(846\) 25.4553 0.875172
\(847\) −26.1694 37.6288i −0.899191 1.29294i
\(848\) −5.59367 −0.192087
\(849\) 5.41997 8.98802i 0.186013 0.308468i
\(850\) −20.8662 15.1601i −0.715703 0.519989i
\(851\) −29.6567 56.2057i −1.01662 1.92671i
\(852\) −0.746441 + 0.610362i −0.0255727 + 0.0209107i
\(853\) 42.4101 17.9227i 1.45209 0.613660i 0.486492 0.873685i \(-0.338276\pi\)
0.965602 + 0.260025i \(0.0837307\pi\)
\(854\) 14.0387 18.2057i 0.480393 0.622985i
\(855\) −13.6103 0.778264i −0.465462 0.0266161i
\(856\) 2.62748 + 8.08655i 0.0898054 + 0.276392i
\(857\) −3.46204 24.0790i −0.118261 0.822523i −0.959470 0.281812i \(-0.909065\pi\)
0.841209 0.540710i \(-0.181845\pi\)
\(858\) −7.33473 2.82229i −0.250403 0.0963515i
\(859\) 3.95058 27.4769i 0.134792 0.937500i −0.804395 0.594094i \(-0.797511\pi\)
0.939187 0.343405i \(-0.111580\pi\)
\(860\) −22.6579 + 3.92110i −0.772627 + 0.133708i
\(861\) 5.02794 + 12.9142i 0.171352 + 0.440113i
\(862\) 4.86013 0.277912i 0.165537 0.00946573i
\(863\) 4.32697 6.32799i 0.147292 0.215407i −0.744770 0.667322i \(-0.767441\pi\)
0.892061 + 0.451914i \(0.149259\pi\)
\(864\) −4.32001 + 0.495675i −0.146970 + 0.0168632i
\(865\) −23.3254 5.42410i −0.793089 0.184425i
\(866\) 14.9291 8.43084i 0.507311 0.286492i
\(867\) 7.32856 + 3.09707i 0.248891 + 0.105182i
\(868\) −26.4930 + 7.77905i −0.899231 + 0.264038i
\(869\) 39.3769 15.5106i 1.33577 0.526159i
\(870\) −5.67537 1.66644i −0.192413 0.0564976i
\(871\) 3.66730 + 2.99874i 0.124262 + 0.101608i
\(872\) 0.0196487 0.0969703i 0.000665390 0.00328383i
\(873\) 3.51291 9.02285i 0.118894 0.305377i
\(874\) −4.26336 + 13.1213i −0.144210 + 0.443833i
\(875\) −71.9372 12.4492i −2.43192 0.420860i
\(876\) 0.139932 + 0.690589i 0.00472785 + 0.0233328i
\(877\) −12.5976 + 23.8752i −0.425392 + 0.806207i −0.999925 0.0122746i \(-0.996093\pi\)
0.574533 + 0.818481i \(0.305184\pi\)
\(878\) −15.1645 + 7.45589i −0.511778 + 0.251624i
\(879\) 2.85947 + 6.26137i 0.0964476 + 0.211191i
\(880\) −9.54046 + 8.33319i −0.321609 + 0.280912i
\(881\) 6.69167 14.6527i 0.225448 0.493662i −0.762779 0.646660i \(-0.776165\pi\)
0.988227 + 0.152998i \(0.0488926\pi\)
\(882\) 0.691164 + 24.1939i 0.0232727 + 0.814651i
\(883\) −7.78031 + 8.00575i −0.261828 + 0.269415i −0.835281 0.549824i \(-0.814695\pi\)
0.573452 + 0.819239i \(0.305604\pi\)
\(884\) 5.45162 + 5.60958i 0.183358 + 0.188671i
\(885\) −0.0408643 + 1.43044i −0.00137364 + 0.0480836i
\(886\) −4.41428 2.17035i −0.148301 0.0729145i
\(887\) −44.4435 + 32.2901i −1.49227 + 1.08419i −0.518929 + 0.854817i \(0.673669\pi\)
−0.973338 + 0.229377i \(0.926331\pi\)
\(888\) −0.490843 5.71479i −0.0164716 0.191776i
\(889\) 0.316480 1.20401i 0.0106144 0.0403814i
\(890\) 52.2072 33.5515i 1.74999 1.12465i
\(891\) 10.9408 + 3.50706i 0.366530 + 0.117491i
\(892\) −2.97892 1.91444i −0.0997417 0.0641001i
\(893\) 12.2679 11.2594i 0.410531 0.376782i
\(894\) 16.7462 3.89417i 0.560078 0.130240i
\(895\) 71.3521 25.4584i 2.38504 0.850980i
\(896\) 1.05926 + 4.02984i 0.0353874 + 0.134628i
\(897\) 15.7624 + 14.4666i 0.526291 + 0.483026i
\(898\) −20.5433 11.6013i −0.685540 0.387142i
\(899\) 7.69004 + 9.97263i 0.256477 + 0.332606i
\(900\) 12.6409 + 18.4868i 0.421364 + 0.616225i
\(901\) 9.85430 + 11.3725i 0.328294 + 0.378872i
\(902\) −2.36099 13.3287i −0.0786123 0.443797i
\(903\) −13.3875 + 15.4500i −0.445508 + 0.514143i
\(904\) −15.2299 1.74747i −0.506539 0.0581199i
\(905\) 82.4911 + 29.4328i 2.74210 + 0.978378i
\(906\) −0.109300 + 1.27256i −0.00363125 + 0.0422779i
\(907\) −12.9107 21.4100i −0.428693 0.710908i 0.564746 0.825265i \(-0.308974\pi\)
−0.993440 + 0.114356i \(0.963519\pi\)
\(908\) −10.0987 16.7468i −0.335137 0.555763i
\(909\) 2.85294 33.2162i 0.0946260 1.10171i
\(910\) 43.5830 + 15.5504i 1.44476 + 0.515490i
\(911\) −0.312841 0.0358952i −0.0103649 0.00118926i 0.108807 0.994063i \(-0.465297\pi\)
−0.119172 + 0.992874i \(0.538024\pi\)
\(912\) −0.815452 + 0.941082i −0.0270023 + 0.0311623i
\(913\) 13.5239 9.32617i 0.447576 0.308651i
\(914\) −14.7594 17.0333i −0.488198 0.563410i
\(915\) −9.69321 14.1759i −0.320448 0.468640i
\(916\) 8.24404 + 10.6911i 0.272391 + 0.353242i
\(917\) −49.8461 28.1494i −1.64606 0.929574i
\(918\) 8.61827 + 7.90977i 0.284445 + 0.261061i
\(919\) 1.62442 + 6.17994i 0.0535847 + 0.203857i 0.988553 0.150874i \(-0.0482087\pi\)
−0.934968 + 0.354731i \(0.884572\pi\)
\(920\) 32.4793 11.5886i 1.07081 0.382065i
\(921\) 17.7032 4.11670i 0.583340 0.135650i
\(922\) −12.0751 + 11.0824i −0.397671 + 0.364979i
\(923\) −2.89425 1.86002i −0.0952654 0.0612234i
\(924\) −1.87646 + 11.1044i −0.0617311 + 0.365309i
\(925\) −56.7688 + 36.4831i −1.86655 + 1.19956i
\(926\) −9.32957 + 35.4934i −0.306589 + 1.16638i
\(927\) 1.43978 + 16.7630i 0.0472884 + 0.550569i
\(928\) 1.53745 1.11703i 0.0504694 0.0366682i
\(929\) −45.5449 22.3929i −1.49428 0.734689i −0.502735 0.864441i \(-0.667673\pi\)
−0.991546 + 0.129752i \(0.958582\pi\)
\(930\) −0.588979 + 20.6170i −0.0193134 + 0.676057i
\(931\) 11.0346 + 11.3543i 0.361643 + 0.372122i
\(932\) 15.3285 15.7727i 0.502103 0.516651i
\(933\) 0.236497 + 8.27847i 0.00774256 + 0.271025i
\(934\) 7.16369 15.6863i 0.234403 0.513271i
\(935\) 33.7495 + 4.71619i 1.10373 + 0.154236i
\(936\) −2.82155 6.17833i −0.0922252 0.201945i
\(937\) −26.7869 + 13.1702i −0.875089 + 0.430252i −0.822767 0.568378i \(-0.807571\pi\)
−0.0523212 + 0.998630i \(0.516662\pi\)
\(938\) 3.16794 6.00392i 0.103437 0.196035i
\(939\) 2.57867 + 12.7262i 0.0841517 + 0.415305i
\(940\) −41.0117 7.09735i −1.33765 0.231490i
\(941\) −0.768402 + 2.36490i −0.0250492 + 0.0770935i −0.962800 0.270216i \(-0.912905\pi\)
0.937750 + 0.347310i \(0.112905\pi\)
\(942\) −1.80711 + 4.64153i −0.0588789 + 0.151229i
\(943\) −7.31806 + 36.1160i −0.238309 + 1.17610i
\(944\) −0.355925 0.291038i −0.0115844 0.00947249i
\(945\) 66.3977 + 19.4961i 2.15992 + 0.634209i
\(946\) 15.7643 12.2559i 0.512540 0.398472i
\(947\) −0.791563 + 0.232424i −0.0257223 + 0.00755276i −0.294568 0.955630i \(-0.595176\pi\)
0.268846 + 0.963183i \(0.413358\pi\)
\(948\) −9.57858 4.04794i −0.311098 0.131471i
\(949\) −2.18919 + 1.23629i −0.0710640 + 0.0401317i
\(950\) 14.2692 + 3.31817i 0.462956 + 0.107656i
\(951\) 18.5137 2.12425i 0.600347 0.0688834i
\(952\) 6.32697 9.25290i 0.205058 0.299888i
\(953\) 21.8953 1.25202i 0.709258 0.0405569i 0.301263 0.953541i \(-0.402592\pi\)
0.407995 + 0.912984i \(0.366228\pi\)
\(954\) −4.74053 12.1760i −0.153480 0.394211i
\(955\) 36.3770 6.29529i 1.17713 0.203711i
\(956\) 2.90667 20.2163i 0.0940084 0.653842i
\(957\) 5.03002 1.03995i 0.162597 0.0336169i
\(958\) 2.20298 + 15.3221i 0.0711751 + 0.495033i
\(959\) 25.6490 + 78.9395i 0.828249 + 2.54909i
\(960\) 3.10742 + 0.177688i 0.100291 + 0.00573487i
\(961\) 7.88494 10.2254i 0.254353 0.329851i
\(962\) 18.8516 7.96675i 0.607800 0.256858i
\(963\) −15.3756 + 12.5725i −0.495470 + 0.405144i
\(964\) −10.3697 19.6527i −0.333985 0.632971i
\(965\) −67.8229 49.2763i −2.18330 1.58626i
\(966\) 15.8320 26.2544i 0.509386 0.844721i
\(967\) −11.4726 −0.368934 −0.184467 0.982839i \(-0.559056\pi\)
−0.184467 + 0.982839i \(0.559056\pi\)
\(968\) 3.90963 10.2818i 0.125660 0.330469i
\(969\) 3.34988 0.107614
\(970\) −8.17545 + 13.5575i −0.262498 + 0.435304i
\(971\) −18.0366 13.1044i −0.578822 0.420539i 0.259477 0.965749i \(-0.416450\pi\)
−0.838299 + 0.545210i \(0.816450\pi\)
\(972\) −7.40510 14.0342i −0.237519 0.450148i
\(973\) 10.2358 8.36973i 0.328143 0.268321i
\(974\) 11.2617 4.75923i 0.360848 0.152496i
\(975\) 13.8728 17.9906i 0.444287 0.576161i
\(976\) 5.50846 + 0.314985i 0.176322 + 0.0100824i
\(977\) 12.9666 + 39.9072i 0.414839 + 1.27674i 0.912395 + 0.409311i \(0.134231\pi\)
−0.497556 + 0.867432i \(0.665769\pi\)
\(978\) −0.540336 3.75812i −0.0172780 0.120171i
\(979\) −26.3137 + 47.0292i −0.840988 + 1.50306i
\(980\) 5.63210 39.1721i 0.179911 1.25131i
\(981\) 0.227731 0.0394104i 0.00727089 0.00125828i
\(982\) −7.19480 18.4797i −0.229595 0.589711i
\(983\) −37.2714 + 2.13125i −1.18877 + 0.0679764i −0.640255 0.768163i \(-0.721171\pi\)
−0.548517 + 0.836139i \(0.684807\pi\)
\(984\) −1.87732 + 2.74549i −0.0598467 + 0.0875231i
\(985\) 62.7099 7.19529i 1.99810 0.229261i
\(986\) −4.97953 1.15794i −0.158581 0.0368763i
\(987\) −32.2204 + 18.1957i −1.02559 + 0.579175i
\(988\) −4.09262 1.72956i −0.130204 0.0550245i
\(989\) −52.1574 + 15.3148i −1.65851 + 0.486982i
\(990\) −26.2245 13.7049i −0.833470 0.435569i
\(991\) 13.7321 + 4.03212i 0.436216 + 0.128085i 0.492465 0.870332i \(-0.336096\pi\)
−0.0562492 + 0.998417i \(0.517914\pi\)
\(992\) −5.12996 4.19475i −0.162876 0.133183i
\(993\) 3.48972 17.2224i 0.110743 0.546537i
\(994\) −1.78867 + 4.59415i −0.0567331 + 0.145718i
\(995\) −9.44232 + 29.0605i −0.299342 + 0.921279i
\(996\) −3.97735 0.688308i −0.126027 0.0218099i
\(997\) 3.04928 + 15.0488i 0.0965718 + 0.476601i 0.998957 + 0.0456694i \(0.0145421\pi\)
−0.902385 + 0.430931i \(0.858185\pi\)
\(998\) 14.7984 28.0461i 0.468435 0.887784i
\(999\) 27.4656 13.5039i 0.868972 0.427245i
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 242.2.g.b.5.2 240
121.97 even 55 inner 242.2.g.b.97.2 yes 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
242.2.g.b.5.2 240 1.1 even 1 trivial
242.2.g.b.97.2 yes 240 121.97 even 55 inner