Properties

Label 667.2.s.a.16.20
Level $667$
Weight $2$
Character 667.16
Analytic conductor $5.326$
Analytic rank $0$
Dimension $3480$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [667,2,Mod(16,667)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(667, base_ring=CyclotomicField(154))
 
chi = DirichletCharacter(H, H._module([56, 22]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("667.16");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 667 = 23 \cdot 29 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 667.s (of order \(77\), degree \(60\), 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: \(5.32602181482\)
Analytic rank: \(0\)
Dimension: \(3480\)
Relative dimension: \(58\) over \(\Q(\zeta_{77})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{77}]$

Embedding invariants

Embedding label 16.20
Character \(\chi\) \(=\) 667.16
Dual form 667.2.s.a.542.20

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.16206 + 0.502303i) q^{2} +(0.00409113 - 0.0399700i) q^{3} +(-0.272219 + 0.289411i) q^{4} +(0.0343445 - 1.68333i) q^{5} +(0.0153230 + 0.0485024i) q^{6} +(-0.164829 + 0.403743i) q^{7} +(1.03154 - 2.85425i) q^{8} +(2.93621 + 0.607436i) q^{9} +O(q^{10})\) \(q+(-1.16206 + 0.502303i) q^{2} +(0.00409113 - 0.0399700i) q^{3} +(-0.272219 + 0.289411i) q^{4} +(0.0343445 - 1.68333i) q^{5} +(0.0153230 + 0.0485024i) q^{6} +(-0.164829 + 0.403743i) q^{7} +(1.03154 - 2.85425i) q^{8} +(2.93621 + 0.607436i) q^{9} +(0.805630 + 1.97337i) q^{10} +(-4.75096 + 2.53166i) q^{11} +(0.0104541 + 0.0120646i) q^{12} +(-1.29251 + 2.31071i) q^{13} +(-0.0112616 - 0.551966i) q^{14} +(-0.0671421 - 0.00825946i) q^{15} +(0.186390 + 3.04180i) q^{16} +(-0.143303 + 0.996695i) q^{17} +(-3.71716 + 0.768996i) q^{18} +(4.22243 - 4.48908i) q^{19} +(0.477823 + 0.468174i) q^{20} +(0.0154633 + 0.00823998i) q^{21} +(4.24921 - 5.32835i) q^{22} +(4.28697 - 2.14986i) q^{23} +(-0.109864 - 0.0529079i) q^{24} +(2.16343 + 0.0883169i) q^{25} +(0.341293 - 3.33440i) q^{26} +(0.0726028 - 0.229813i) q^{27} +(-0.0719780 - 0.157610i) q^{28} +(-2.89833 - 4.53869i) q^{29} +(0.0821716 - 0.0241278i) q^{30} +(3.74545 + 6.09804i) q^{31} +(1.00012 + 1.97279i) q^{32} +(0.0817536 + 0.200253i) q^{33} +(-0.334117 - 1.23020i) q^{34} +(0.673971 + 0.291327i) q^{35} +(-0.975092 + 0.684415i) q^{36} +(9.84640 + 2.03700i) q^{37} +(-2.65181 + 7.33751i) q^{38} +(0.0870713 + 0.0611151i) q^{39} +(-4.76921 - 1.83445i) q^{40} +(3.48314 + 7.62701i) q^{41} +(-0.0221082 - 0.00180804i) q^{42} +(-3.24763 + 5.28753i) q^{43} +(0.560614 - 2.06414i) q^{44} +(1.12335 - 4.92174i) q^{45} +(-3.90182 + 4.65161i) q^{46} +(-2.08672 + 9.14252i) q^{47} +(0.122343 + 0.00499436i) q^{48} +(4.86414 + 4.76591i) q^{49} +(-2.55839 + 0.984071i) q^{50} +(0.0392517 + 0.00980545i) q^{51} +(-0.316897 - 1.00309i) q^{52} +(-5.63622 - 0.928083i) q^{53} +(0.0310672 + 0.303524i) q^{54} +(4.09843 + 8.08436i) q^{55} +(0.982357 + 0.886941i) q^{56} +(-0.162154 - 0.187136i) q^{57} +(5.64782 + 3.81836i) q^{58} +(7.03792 + 2.06652i) q^{59} +(0.0206678 - 0.0171832i) q^{60} +(4.46971 - 1.51303i) q^{61} +(-7.41549 - 5.20491i) q^{62} +(-0.729220 + 1.08535i) q^{63} +(-6.83990 - 5.68671i) q^{64} +(3.84528 + 2.25508i) q^{65} +(-0.195590 - 0.191640i) q^{66} +(-4.76397 - 2.53859i) q^{67} +(-0.249444 - 0.312793i) q^{68} +(-0.0683913 - 0.180146i) q^{69} -0.929526 q^{70} +(-4.10484 - 5.60163i) q^{71} +(4.76260 - 7.75409i) q^{72} +(-2.34096 - 3.48423i) q^{73} +(-12.4652 + 2.57878i) q^{74} +(0.0123809 - 0.0861112i) q^{75} +(0.149761 + 2.44403i) q^{76} +(-0.239046 - 2.33546i) q^{77} +(-0.131880 - 0.0272830i) q^{78} +(-0.610243 + 9.95887i) q^{79} +(5.12674 - 0.209286i) q^{80} +(8.24792 + 3.56520i) q^{81} +(-7.87868 - 7.11342i) q^{82} +(1.37129 - 0.342562i) q^{83} +(-0.00659415 + 0.00223216i) q^{84} +(1.67284 + 0.275457i) q^{85} +(1.11798 - 7.77570i) q^{86} +(-0.193269 + 0.0972781i) q^{87} +(2.32517 + 16.1719i) q^{88} +(15.1362 - 1.86197i) q^{89} +(1.16681 + 6.28360i) q^{90} +(-0.719890 - 0.902714i) q^{91} +(-0.544805 + 1.82593i) q^{92} +(0.259062 - 0.124758i) q^{93} +(-2.16744 - 11.6723i) q^{94} +(-7.41157 - 7.26190i) q^{95} +(0.0829442 - 0.0319040i) q^{96} +(-0.602861 + 1.18917i) q^{97} +(-8.04633 - 3.09498i) q^{98} +(-15.4876 + 4.54758i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 3480 q - 49 q^{2} - 45 q^{3} + 7 q^{4} - 49 q^{5} - 39 q^{6} - 49 q^{7} - 50 q^{8} + q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 3480 q - 49 q^{2} - 45 q^{3} + 7 q^{4} - 49 q^{5} - 39 q^{6} - 49 q^{7} - 50 q^{8} + q^{9} - 53 q^{10} - 25 q^{11} - 134 q^{12} - 25 q^{13} - 65 q^{14} - 65 q^{15} - 111 q^{16} - 112 q^{17} - 91 q^{18} - 35 q^{19} - 81 q^{20} - 7 q^{21} - 78 q^{22} + 2 q^{23} + 72 q^{24} - 93 q^{25} - 43 q^{26} + 15 q^{27} - 156 q^{28} - 63 q^{29} - 140 q^{30} - 59 q^{31} + 41 q^{32} - 13 q^{33} - 97 q^{34} - 9 q^{35} + 153 q^{36} - 67 q^{37} + q^{38} + 9 q^{39} - 121 q^{40} - 132 q^{41} - 137 q^{42} + 15 q^{43} + 95 q^{44} - 36 q^{45} + 44 q^{46} - 120 q^{47} + 222 q^{48} - 233 q^{49} + 57 q^{50} - 231 q^{51} + 51 q^{52} - 89 q^{53} + 4 q^{54} - 241 q^{55} + 155 q^{56} - 14 q^{57} - 12 q^{58} - 164 q^{59} - 59 q^{60} - 29 q^{61} + 139 q^{62} + 25 q^{63} + 76 q^{64} - 89 q^{65} + 169 q^{66} - 49 q^{67} - 104 q^{68} - 48 q^{69} - 180 q^{70} - 31 q^{71} + 35 q^{72} - 57 q^{73} - 478 q^{74} - 212 q^{75} - 69 q^{76} - 266 q^{77} + 97 q^{78} + 35 q^{79} - 39 q^{80} - 95 q^{81} - 209 q^{82} - 11 q^{83} + 147 q^{84} + 137 q^{85} - 600 q^{86} + 72 q^{87} + 40 q^{88} + 61 q^{89} - 31 q^{90} + 48 q^{91} - 43 q^{92} - 764 q^{93} - 15 q^{94} + 55 q^{95} - 70 q^{96} + 43 q^{97} + 117 q^{98} + 88 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/667\mathbb{Z}\right)^\times\).

\(n\) \(465\) \(553\)
\(\chi(n)\) \(e\left(\frac{4}{11}\right)\) \(e\left(\frac{1}{7}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.16206 + 0.502303i −0.821697 + 0.355182i −0.765659 0.643246i \(-0.777587\pi\)
−0.0560381 + 0.998429i \(0.517847\pi\)
\(3\) 0.00409113 0.0399700i 0.00236202 0.0230767i −0.993555 0.113354i \(-0.963840\pi\)
0.995917 + 0.0902778i \(0.0287755\pi\)
\(4\) −0.272219 + 0.289411i −0.136110 + 0.144705i
\(5\) 0.0343445 1.68333i 0.0153593 0.752806i −0.918552 0.395301i \(-0.870640\pi\)
0.933911 0.357505i \(-0.116373\pi\)
\(6\) 0.0153230 + 0.0485024i 0.00625558 + 0.0198010i
\(7\) −0.164829 + 0.403743i −0.0622994 + 0.152601i −0.953819 0.300381i \(-0.902886\pi\)
0.891520 + 0.452981i \(0.149640\pi\)
\(8\) 1.03154 2.85425i 0.364705 1.00913i
\(9\) 2.93621 + 0.607436i 0.978737 + 0.202479i
\(10\) 0.805630 + 1.97337i 0.254763 + 0.624034i
\(11\) −4.75096 + 2.53166i −1.43247 + 0.763323i −0.990988 0.133949i \(-0.957234\pi\)
−0.441479 + 0.897272i \(0.645546\pi\)
\(12\) 0.0104541 + 0.0120646i 0.00301783 + 0.00348276i
\(13\) −1.29251 + 2.31071i −0.358478 + 0.640875i −0.991030 0.133643i \(-0.957332\pi\)
0.632551 + 0.774518i \(0.282008\pi\)
\(14\) −0.0112616 0.551966i −0.00300980 0.147519i
\(15\) −0.0671421 0.00825946i −0.0173360 0.00213258i
\(16\) 0.186390 + 3.04180i 0.0465976 + 0.760449i
\(17\) −0.143303 + 0.996695i −0.0347561 + 0.241734i −0.999792 0.0203828i \(-0.993512\pi\)
0.965036 + 0.262117i \(0.0844206\pi\)
\(18\) −3.71716 + 0.768996i −0.876142 + 0.181254i
\(19\) 4.22243 4.48908i 0.968692 1.02987i −0.0308479 0.999524i \(-0.509821\pi\)
0.999540 0.0303424i \(-0.00965976\pi\)
\(20\) 0.477823 + 0.468174i 0.106844 + 0.104687i
\(21\) 0.0154633 + 0.00823998i 0.00337437 + 0.00179811i
\(22\) 4.24921 5.32835i 0.905936 1.13601i
\(23\) 4.28697 2.14986i 0.893895 0.448276i
\(24\) −0.109864 0.0529079i −0.0224260 0.0107998i
\(25\) 2.16343 + 0.0883169i 0.432687 + 0.0176634i
\(26\) 0.341293 3.33440i 0.0669330 0.653930i
\(27\) 0.0726028 0.229813i 0.0139724 0.0442275i
\(28\) −0.0719780 0.157610i −0.0136026 0.0297855i
\(29\) −2.89833 4.53869i −0.538207 0.842813i
\(30\) 0.0821716 0.0241278i 0.0150024 0.00440511i
\(31\) 3.74545 + 6.09804i 0.672702 + 1.09524i 0.989189 + 0.146644i \(0.0468472\pi\)
−0.316487 + 0.948597i \(0.602503\pi\)
\(32\) 1.00012 + 1.97279i 0.176799 + 0.348744i
\(33\) 0.0817536 + 0.200253i 0.0142315 + 0.0348596i
\(34\) −0.334117 1.23020i −0.0573007 0.210977i
\(35\) 0.673971 + 0.291327i 0.113922 + 0.0492432i
\(36\) −0.975092 + 0.684415i −0.162515 + 0.114069i
\(37\) 9.84640 + 2.03700i 1.61874 + 0.334880i 0.923411 0.383813i \(-0.125389\pi\)
0.695327 + 0.718693i \(0.255260\pi\)
\(38\) −2.65181 + 7.33751i −0.430181 + 1.19030i
\(39\) 0.0870713 + 0.0611151i 0.0139426 + 0.00978625i
\(40\) −4.76921 1.83445i −0.754078 0.290052i
\(41\) 3.48314 + 7.62701i 0.543975 + 1.19114i 0.959539 + 0.281575i \(0.0908569\pi\)
−0.415564 + 0.909564i \(0.636416\pi\)
\(42\) −0.0221082 0.00180804i −0.00341137 0.000278986i
\(43\) −3.24763 + 5.28753i −0.495259 + 0.806341i −0.998322 0.0579084i \(-0.981557\pi\)
0.503063 + 0.864250i \(0.332206\pi\)
\(44\) 0.560614 2.06414i 0.0845158 0.311181i
\(45\) 1.12335 4.92174i 0.167460 0.733689i
\(46\) −3.90182 + 4.65161i −0.575292 + 0.685843i
\(47\) −2.08672 + 9.14252i −0.304380 + 1.33357i 0.559062 + 0.829126i \(0.311161\pi\)
−0.863442 + 0.504449i \(0.831696\pi\)
\(48\) 0.122343 + 0.00499436i 0.0176587 + 0.000720874i
\(49\) 4.86414 + 4.76591i 0.694877 + 0.680844i
\(50\) −2.55839 + 0.984071i −0.361811 + 0.139169i
\(51\) 0.0392517 + 0.00980545i 0.00549633 + 0.00137304i
\(52\) −0.316897 1.00309i −0.0439457 0.139103i
\(53\) −5.63622 0.928083i −0.774194 0.127482i −0.237646 0.971352i \(-0.576376\pi\)
−0.536548 + 0.843870i \(0.680272\pi\)
\(54\) 0.0310672 + 0.303524i 0.00422770 + 0.0413043i
\(55\) 4.09843 + 8.08436i 0.552633 + 1.09009i
\(56\) 0.982357 + 0.886941i 0.131273 + 0.118522i
\(57\) −0.162154 0.187136i −0.0214779 0.0247868i
\(58\) 5.64782 + 3.81836i 0.741595 + 0.501375i
\(59\) 7.03792 + 2.06652i 0.916259 + 0.269038i 0.705673 0.708538i \(-0.250645\pi\)
0.210586 + 0.977575i \(0.432463\pi\)
\(60\) 0.0206678 0.0171832i 0.00266820 0.00221835i
\(61\) 4.46971 1.51303i 0.572288 0.193723i −0.0195098 0.999810i \(-0.506211\pi\)
0.591798 + 0.806086i \(0.298418\pi\)
\(62\) −7.41549 5.20491i −0.941768 0.661025i
\(63\) −0.729220 + 1.08535i −0.0918731 + 0.136742i
\(64\) −6.83990 5.68671i −0.854987 0.710839i
\(65\) 3.84528 + 2.25508i 0.476949 + 0.279708i
\(66\) −0.195590 0.191640i −0.0240755 0.0235893i
\(67\) −4.76397 2.53859i −0.582012 0.310138i 0.152964 0.988232i \(-0.451118\pi\)
−0.734976 + 0.678093i \(0.762807\pi\)
\(68\) −0.249444 0.312793i −0.0302496 0.0379318i
\(69\) −0.0683913 0.180146i −0.00823334 0.0216870i
\(70\) −0.929526 −0.111100
\(71\) −4.10484 5.60163i −0.487155 0.664791i 0.491362 0.870955i \(-0.336499\pi\)
−0.978517 + 0.206164i \(0.933902\pi\)
\(72\) 4.76260 7.75409i 0.561278 0.913828i
\(73\) −2.34096 3.48423i −0.273989 0.407799i 0.667622 0.744500i \(-0.267312\pi\)
−0.941611 + 0.336701i \(0.890689\pi\)
\(74\) −12.4652 + 2.57878i −1.44906 + 0.299777i
\(75\) 0.0123809 0.0861112i 0.00142963 0.00994326i
\(76\) 0.149761 + 2.44403i 0.0171788 + 0.280350i
\(77\) −0.239046 2.33546i −0.0272418 0.266150i
\(78\) −0.131880 0.0272830i −0.0149325 0.00308919i
\(79\) −0.610243 + 9.95887i −0.0686577 + 1.12046i 0.791747 + 0.610849i \(0.209172\pi\)
−0.860405 + 0.509611i \(0.829789\pi\)
\(80\) 5.12674 0.209286i 0.573186 0.0233989i
\(81\) 8.24792 + 3.56520i 0.916435 + 0.396133i
\(82\) −7.87868 7.11342i −0.870054 0.785545i
\(83\) 1.37129 0.342562i 0.150519 0.0376010i −0.166372 0.986063i \(-0.553205\pi\)
0.316891 + 0.948462i \(0.397361\pi\)
\(84\) −0.00659415 + 0.00223216i −0.000719480 + 0.000243549i
\(85\) 1.67284 + 0.275457i 0.181445 + 0.0298775i
\(86\) 1.11798 7.77570i 0.120555 0.838475i
\(87\) −0.193269 + 0.0972781i −0.0207206 + 0.0104293i
\(88\) 2.32517 + 16.1719i 0.247864 + 1.72393i
\(89\) 15.1362 1.86197i 1.60443 0.197369i 0.730324 0.683101i \(-0.239369\pi\)
0.874107 + 0.485733i \(0.161447\pi\)
\(90\) 1.16681 + 6.28360i 0.122992 + 0.662349i
\(91\) −0.719890 0.902714i −0.0754650 0.0946301i
\(92\) −0.544805 + 1.82593i −0.0567999 + 0.190366i
\(93\) 0.259062 0.124758i 0.0268635 0.0129368i
\(94\) −2.16744 11.6723i −0.223554 1.20390i
\(95\) −7.41157 7.26190i −0.760411 0.745055i
\(96\) 0.0829442 0.0319040i 0.00846546 0.00325619i
\(97\) −0.602861 + 1.18917i −0.0612113 + 0.120742i −0.920491 0.390764i \(-0.872211\pi\)
0.859280 + 0.511506i \(0.170912\pi\)
\(98\) −8.04633 3.09498i −0.812802 0.312640i
\(99\) −15.4876 + 4.54758i −1.55657 + 0.457049i
\(100\) −0.614488 + 0.602079i −0.0614488 + 0.0602079i
\(101\) −0.00534260 0.261857i −0.000531609 0.0260557i 0.999441 0.0334247i \(-0.0106414\pi\)
−0.999973 + 0.00736895i \(0.997654\pi\)
\(102\) −0.0505379 + 0.00832178i −0.00500400 + 0.000823979i
\(103\) 8.73093 4.65248i 0.860284 0.458422i 0.0195110 0.999810i \(-0.493789\pi\)
0.840773 + 0.541387i \(0.182101\pi\)
\(104\) 5.26206 + 6.07274i 0.515988 + 0.595482i
\(105\) 0.0144016 0.0257468i 0.00140546 0.00251263i
\(106\) 7.01578 1.75261i 0.681433 0.170228i
\(107\) 3.62305 10.0249i 0.350254 0.969144i −0.630891 0.775871i \(-0.717311\pi\)
0.981145 0.193273i \(-0.0619101\pi\)
\(108\) 0.0467463 + 0.0835715i 0.00449817 + 0.00804167i
\(109\) 9.31900 + 9.90752i 0.892599 + 0.948968i 0.998971 0.0453584i \(-0.0144430\pi\)
−0.106372 + 0.994326i \(0.533924\pi\)
\(110\) −8.82341 7.33581i −0.841279 0.699442i
\(111\) 0.121702 0.385227i 0.0115514 0.0365642i
\(112\) −1.25883 0.426121i −0.118948 0.0402647i
\(113\) 0.628021 + 3.38208i 0.0590793 + 0.318160i 0.999778 0.0210844i \(-0.00671188\pi\)
−0.940698 + 0.339244i \(0.889829\pi\)
\(114\) 0.282431 + 0.136012i 0.0264521 + 0.0127387i
\(115\) −3.47168 7.29020i −0.323735 0.679815i
\(116\) 2.10253 + 0.396710i 0.195215 + 0.0368336i
\(117\) −5.19869 + 5.99961i −0.480619 + 0.554664i
\(118\) −9.21647 + 1.13376i −0.848445 + 0.104371i
\(119\) −0.378789 0.222142i −0.0347235 0.0203637i
\(120\) −0.0928344 + 0.183120i −0.00847459 + 0.0167165i
\(121\) 10.0277 14.9250i 0.911611 1.35682i
\(122\) −4.43406 + 4.00337i −0.401441 + 0.362448i
\(123\) 0.319102 0.108018i 0.0287725 0.00973966i
\(124\) −2.78442 0.576034i −0.250048 0.0517293i
\(125\) 0.737850 12.0413i 0.0659953 1.07701i
\(126\) 0.302217 1.62753i 0.0269237 0.144992i
\(127\) −4.88845 + 2.60492i −0.433780 + 0.231150i −0.672739 0.739880i \(-0.734882\pi\)
0.238959 + 0.971030i \(0.423194\pi\)
\(128\) 6.56034 + 1.92629i 0.579857 + 0.170262i
\(129\) 0.198056 + 0.151440i 0.0174379 + 0.0133335i
\(130\) −5.60117 0.689026i −0.491255 0.0604315i
\(131\) −4.72808 + 4.26884i −0.413094 + 0.372970i −0.850218 0.526431i \(-0.823530\pi\)
0.437123 + 0.899402i \(0.355997\pi\)
\(132\) −0.0802103 0.0308525i −0.00698141 0.00268536i
\(133\) 1.11646 + 2.44471i 0.0968094 + 0.211983i
\(134\) 6.81115 + 0.557025i 0.588393 + 0.0481196i
\(135\) −0.384356 0.130107i −0.0330801 0.0111978i
\(136\) 2.69700 + 1.43716i 0.231265 + 0.123235i
\(137\) −2.01524 8.82934i −0.172174 0.754341i −0.985101 0.171977i \(-0.944985\pi\)
0.812928 0.582365i \(-0.197872\pi\)
\(138\) 0.169962 + 0.174986i 0.0144682 + 0.0148958i
\(139\) −11.4216 + 5.50035i −0.968768 + 0.466534i −0.850228 0.526415i \(-0.823536\pi\)
−0.118540 + 0.992949i \(0.537821\pi\)
\(140\) −0.267781 + 0.115749i −0.0226316 + 0.00978261i
\(141\) 0.356890 + 0.120810i 0.0300556 + 0.0101740i
\(142\) 7.58377 + 4.44753i 0.636416 + 0.373228i
\(143\) 0.290745 14.2503i 0.0243133 1.19167i
\(144\) −1.30041 + 9.04458i −0.108368 + 0.753715i
\(145\) −7.73963 + 4.72296i −0.642741 + 0.392220i
\(146\) 4.47047 + 2.87300i 0.369979 + 0.237771i
\(147\) 0.210393 0.174922i 0.0173529 0.0144273i
\(148\) −3.26991 + 2.29514i −0.268785 + 0.188659i
\(149\) 2.20058 11.8508i 0.180278 0.970853i −0.764863 0.644192i \(-0.777194\pi\)
0.945142 0.326660i \(-0.105923\pi\)
\(150\) 0.0288666 + 0.106285i 0.00235695 + 0.00867813i
\(151\) −13.2575 + 2.18304i −1.07888 + 0.177653i −0.675486 0.737373i \(-0.736066\pi\)
−0.403396 + 0.915026i \(0.632170\pi\)
\(152\) −8.45736 16.6826i −0.685983 1.35313i
\(153\) −1.02620 + 2.83946i −0.0829631 + 0.229557i
\(154\) 1.45089 + 2.59386i 0.116916 + 0.209019i
\(155\) 10.3936 6.09537i 0.834836 0.489592i
\(156\) −0.0413899 + 0.00856262i −0.00331384 + 0.000685558i
\(157\) −1.94496 13.5275i −0.155225 1.07961i −0.907284 0.420518i \(-0.861848\pi\)
0.752059 0.659096i \(-0.229061\pi\)
\(158\) −4.29324 11.8793i −0.341552 0.945065i
\(159\) −0.0601540 + 0.221483i −0.00477052 + 0.0175647i
\(160\) 3.35520 1.61578i 0.265252 0.127739i
\(161\) 0.161375 + 2.08519i 0.0127181 + 0.164336i
\(162\) −11.3753 −0.893732
\(163\) 1.70762 + 2.33028i 0.133751 + 0.182522i 0.868308 0.496025i \(-0.165208\pi\)
−0.734557 + 0.678547i \(0.762610\pi\)
\(164\) −3.15552 1.06816i −0.246404 0.0834095i
\(165\) 0.339899 0.130740i 0.0264611 0.0101781i
\(166\) −1.42145 + 1.08688i −0.110326 + 0.0843582i
\(167\) −12.3676 13.1487i −0.957036 1.01748i −0.999831 0.0183913i \(-0.994146\pi\)
0.0427944 0.999084i \(-0.486374\pi\)
\(168\) 0.0394700 0.0356363i 0.00304518 0.00274940i
\(169\) 3.13500 + 5.10416i 0.241154 + 0.392627i
\(170\) −2.08230 + 0.520178i −0.159705 + 0.0398958i
\(171\) 15.1248 10.6160i 1.15662 0.811829i
\(172\) −0.646201 2.37927i −0.0492723 0.181417i
\(173\) 1.99340 + 2.30050i 0.151555 + 0.174904i 0.826450 0.563010i \(-0.190357\pi\)
−0.674895 + 0.737914i \(0.735811\pi\)
\(174\) 0.175726 0.210122i 0.0133218 0.0159293i
\(175\) −0.392253 + 0.858914i −0.0296515 + 0.0649278i
\(176\) −8.58631 13.9796i −0.647218 1.05375i
\(177\) 0.111392 0.272851i 0.00837273 0.0205088i
\(178\) −16.6538 + 9.76667i −1.24826 + 0.732043i
\(179\) 0.191252 9.37382i 0.0142948 0.700632i −0.929262 0.369421i \(-0.879556\pi\)
0.943557 0.331211i \(-0.107457\pi\)
\(180\) 1.11860 + 1.66490i 0.0833758 + 0.124095i
\(181\) 1.78521 17.4413i 0.132693 1.29640i −0.688284 0.725441i \(-0.741636\pi\)
0.820977 0.570961i \(-0.193429\pi\)
\(182\) 1.28999 + 0.687400i 0.0956203 + 0.0509535i
\(183\) −0.0421896 0.184845i −0.00311874 0.0136641i
\(184\) −1.71404 14.4538i −0.126361 1.06555i
\(185\) 3.76710 16.5047i 0.276963 1.21345i
\(186\) −0.238378 + 0.275103i −0.0174787 + 0.0201715i
\(187\) −1.84246 5.09805i −0.134734 0.372806i
\(188\) −2.07790 3.09269i −0.151546 0.225558i
\(189\) 0.0808183 + 0.0671926i 0.00587867 + 0.00488754i
\(190\) 12.2603 + 4.71587i 0.889458 + 0.342125i
\(191\) −16.8640 + 4.95172i −1.22024 + 0.358294i −0.827557 0.561382i \(-0.810270\pi\)
−0.392679 + 0.919675i \(0.628452\pi\)
\(192\) −0.255281 + 0.250126i −0.0184233 + 0.0180513i
\(193\) −25.5817 + 6.39056i −1.84141 + 0.460002i −0.997117 0.0758759i \(-0.975825\pi\)
−0.844295 + 0.535878i \(0.819981\pi\)
\(194\) 0.103233 1.68470i 0.00741166 0.120955i
\(195\) 0.105867 0.144470i 0.00758130 0.0103457i
\(196\) −2.70342 + 0.110360i −0.193101 + 0.00788288i
\(197\) 23.8515 3.92748i 1.69935 0.279822i 0.767070 0.641564i \(-0.221714\pi\)
0.932278 + 0.361742i \(0.117818\pi\)
\(198\) 15.7132 13.0640i 1.11669 0.928420i
\(199\) 2.62163 + 25.6131i 0.185843 + 1.81567i 0.499701 + 0.866198i \(0.333443\pi\)
−0.313859 + 0.949470i \(0.601622\pi\)
\(200\) 2.48375 6.08388i 0.175628 0.430195i
\(201\) −0.120958 + 0.180030i −0.00853170 + 0.0126984i
\(202\) 0.137740 + 0.301608i 0.00969135 + 0.0212211i
\(203\) 2.31019 0.422077i 0.162144 0.0296240i
\(204\) −0.0135229 + 0.00869062i −0.000946790 + 0.000608465i
\(205\) 12.9584 5.60131i 0.905052 0.391213i
\(206\) −7.80887 + 9.79202i −0.544070 + 0.682242i
\(207\) 13.8934 3.70838i 0.965655 0.257750i
\(208\) −7.26962 3.50086i −0.504057 0.242741i
\(209\) −8.69576 + 32.0172i −0.601498 + 2.21467i
\(210\) −0.00380281 + 0.0371532i −0.000262419 + 0.00256381i
\(211\) 12.2090 4.69612i 0.840502 0.323294i 0.0996998 0.995018i \(-0.468212\pi\)
0.740802 + 0.671723i \(0.234446\pi\)
\(212\) 1.80288 1.37854i 0.123823 0.0946785i
\(213\) −0.240691 + 0.141154i −0.0164919 + 0.00967170i
\(214\) 0.825354 + 13.4694i 0.0564200 + 0.920747i
\(215\) 8.78910 + 5.64841i 0.599412 + 0.385219i
\(216\) −0.581050 0.444288i −0.0395355 0.0302300i
\(217\) −3.07940 + 0.507067i −0.209043 + 0.0344219i
\(218\) −15.8058 6.83212i −1.07050 0.462729i
\(219\) −0.148842 + 0.0793139i −0.0100578 + 0.00535954i
\(220\) −3.45537 1.01459i −0.232961 0.0684035i
\(221\) −2.11785 1.61937i −0.142462 0.108931i
\(222\) 0.0520768 + 0.508787i 0.00349517 + 0.0341475i
\(223\) −1.04128 1.86156i −0.0697292 0.124660i 0.835652 0.549259i \(-0.185090\pi\)
−0.905381 + 0.424600i \(0.860415\pi\)
\(224\) −0.961351 + 0.0786206i −0.0642330 + 0.00525306i
\(225\) 6.29865 + 1.57346i 0.419910 + 0.104898i
\(226\) −2.42863 3.61471i −0.161550 0.240447i
\(227\) 12.6920 1.56130i 0.842399 0.103627i 0.310645 0.950526i \(-0.399455\pi\)
0.531754 + 0.846899i \(0.321533\pi\)
\(228\) 0.0983007 + 0.00401289i 0.00651012 + 0.000265760i
\(229\) −17.7150 + 22.2139i −1.17064 + 1.46794i −0.315969 + 0.948769i \(0.602330\pi\)
−0.854672 + 0.519168i \(0.826242\pi\)
\(230\) 7.69617 + 6.72779i 0.507471 + 0.443617i
\(231\) −0.0943263 −0.00620621
\(232\) −15.9443 + 3.59073i −1.04679 + 0.235743i
\(233\) 0.245557 0.157810i 0.0160870 0.0103385i −0.532573 0.846384i \(-0.678775\pi\)
0.548660 + 0.836046i \(0.315138\pi\)
\(234\) 3.02754 9.58320i 0.197917 0.626474i
\(235\) 15.3182 + 3.82663i 0.999248 + 0.249622i
\(236\) −2.51393 + 1.47430i −0.163643 + 0.0959688i
\(237\) 0.395560 + 0.0651345i 0.0256944 + 0.00423094i
\(238\) 0.551756 + 0.0678741i 0.0357650 + 0.00439962i
\(239\) −3.47465 6.85391i −0.224756 0.443342i 0.751568 0.659656i \(-0.229298\pi\)
−0.976324 + 0.216314i \(0.930597\pi\)
\(240\) 0.0126090 0.205772i 0.000813905 0.0132825i
\(241\) −7.45190 + 10.1691i −0.480019 + 0.655052i −0.977132 0.212634i \(-0.931796\pi\)
0.497113 + 0.867686i \(0.334393\pi\)
\(242\) −4.15588 + 22.3807i −0.267150 + 1.43868i
\(243\) 0.529208 0.946100i 0.0339487 0.0606924i
\(244\) −0.778856 + 1.70546i −0.0498612 + 0.109181i
\(245\) 8.18963 8.02424i 0.523216 0.512650i
\(246\) −0.316556 + 0.285809i −0.0201829 + 0.0182225i
\(247\) 4.91543 + 15.5590i 0.312761 + 0.989995i
\(248\) 21.2689 4.40006i 1.35058 0.279404i
\(249\) −0.00808207 0.0562120i −0.000512180 0.00356229i
\(250\) 5.19099 + 14.3633i 0.328307 + 0.908417i
\(251\) −15.4440 0.630462i −0.974814 0.0397944i −0.451801 0.892119i \(-0.649218\pi\)
−0.523013 + 0.852325i \(0.675192\pi\)
\(252\) −0.115605 0.506498i −0.00728242 0.0319064i
\(253\) −14.9245 + 21.0670i −0.938296 + 1.32447i
\(254\) 4.37219 5.48255i 0.274336 0.344006i
\(255\) 0.0178538 0.0657366i 0.00111805 0.00411659i
\(256\) 9.06605 1.11526i 0.566628 0.0697036i
\(257\) −7.23362 + 7.69043i −0.451221 + 0.479716i −0.913396 0.407073i \(-0.866550\pi\)
0.462175 + 0.886789i \(0.347069\pi\)
\(258\) −0.306221 0.0764970i −0.0190645 0.00476250i
\(259\) −2.44539 + 3.63966i −0.151949 + 0.226158i
\(260\) −1.69940 + 0.498990i −0.105393 + 0.0309461i
\(261\) −5.75316 15.0871i −0.356112 0.933868i
\(262\) 3.35004 7.33556i 0.206966 0.453193i
\(263\) −6.47421 5.84537i −0.399217 0.360441i 0.445844 0.895111i \(-0.352904\pi\)
−0.845061 + 0.534670i \(0.820436\pi\)
\(264\) 0.655905 0.0267757i 0.0403682 0.00164793i
\(265\) −1.75584 + 9.45572i −0.107860 + 0.580860i
\(266\) −2.52537 2.28008i −0.154841 0.139801i
\(267\) −0.0124990 0.612611i −0.000764925 0.0374912i
\(268\) 2.03154 0.687690i 0.124096 0.0420074i
\(269\) −4.36153 7.79741i −0.265927 0.475416i 0.706786 0.707428i \(-0.250145\pi\)
−0.972713 + 0.232012i \(0.925469\pi\)
\(270\) 0.511996 0.0418718i 0.0311591 0.00254823i
\(271\) 6.30673 12.4403i 0.383106 0.755696i −0.616389 0.787441i \(-0.711405\pi\)
0.999496 + 0.0317455i \(0.0101066\pi\)
\(272\) −3.05845 0.250125i −0.185446 0.0151660i
\(273\) −0.0390267 + 0.0250809i −0.00236200 + 0.00151797i
\(274\) 6.77683 + 9.24792i 0.409403 + 0.558687i
\(275\) −10.5020 + 5.05748i −0.633292 + 0.304977i
\(276\) 0.0707535 + 0.0292460i 0.00425886 + 0.00176040i
\(277\) 3.43617 15.0548i 0.206459 0.904557i −0.760442 0.649406i \(-0.775018\pi\)
0.966901 0.255151i \(-0.0821252\pi\)
\(278\) 10.5097 12.1288i 0.630329 0.727439i
\(279\) 7.29326 + 20.1803i 0.436636 + 1.20816i
\(280\) 1.52675 1.62317i 0.0912407 0.0970027i
\(281\) −16.4811 + 12.6019i −0.983180 + 0.751768i −0.968727 0.248127i \(-0.920185\pi\)
−0.0144523 + 0.999896i \(0.504600\pi\)
\(282\) −0.475409 + 0.0388796i −0.0283102 + 0.00231525i
\(283\) 4.66116 11.4174i 0.277077 0.678693i −0.722847 0.691008i \(-0.757167\pi\)
0.999924 + 0.0123150i \(0.00392009\pi\)
\(284\) 2.73859 + 0.336887i 0.162505 + 0.0199905i
\(285\) −0.320580 + 0.266531i −0.0189895 + 0.0157880i
\(286\) 6.82010 + 16.7056i 0.403281 + 0.987825i
\(287\) −3.65348 + 0.149144i −0.215658 + 0.00880371i
\(288\) 1.73823 + 6.40005i 0.102426 + 0.377126i
\(289\) 15.3385 + 4.50379i 0.902266 + 0.264929i
\(290\) 6.62152 9.37598i 0.388829 0.550577i
\(291\) 0.0450649 + 0.0289614i 0.00264175 + 0.00169775i
\(292\) 1.64563 + 0.270976i 0.0963032 + 0.0158577i
\(293\) −17.0145 18.0890i −0.993995 1.05677i −0.998387 0.0567776i \(-0.981917\pi\)
0.00439172 0.999990i \(-0.498602\pi\)
\(294\) −0.156625 + 0.308950i −0.00913455 + 0.0180183i
\(295\) 3.72034 11.7761i 0.216606 0.685633i
\(296\) 15.9711 26.0028i 0.928300 1.51138i
\(297\) 0.236874 + 1.27564i 0.0137448 + 0.0740199i
\(298\) 3.39549 + 14.8766i 0.196695 + 0.861779i
\(299\) −0.573266 + 12.6847i −0.0331528 + 0.733572i
\(300\) 0.0215512 + 0.0270243i 0.00124426 + 0.00156025i
\(301\) −1.59950 2.18274i −0.0921939 0.125811i
\(302\) 14.3094 9.19611i 0.823415 0.529177i
\(303\) −0.0104883 0.000857746i −0.000602536 4.92762e-5i
\(304\) 14.4419 + 12.0070i 0.828300 + 0.688651i
\(305\) −2.39341 7.57595i −0.137046 0.433798i
\(306\) −0.233774 3.81507i −0.0133640 0.218093i
\(307\) 10.3127 + 6.62757i 0.588577 + 0.378255i 0.800770 0.598973i \(-0.204424\pi\)
−0.212193 + 0.977228i \(0.568060\pi\)
\(308\) 0.740979 + 0.566574i 0.0422212 + 0.0322836i
\(309\) −0.150240 0.368010i −0.00854687 0.0209353i
\(310\) −9.01625 + 12.3039i −0.512088 + 0.698816i
\(311\) 1.83773 2.50783i 0.104208 0.142206i −0.751368 0.659883i \(-0.770606\pi\)
0.855576 + 0.517677i \(0.173203\pi\)
\(312\) 0.264256 0.185480i 0.0149605 0.0105008i
\(313\) −0.621767 30.4746i −0.0351444 1.72253i −0.525320 0.850905i \(-0.676054\pi\)
0.490176 0.871624i \(-0.336933\pi\)
\(314\) 9.05508 + 14.7428i 0.511008 + 0.831983i
\(315\) 1.80196 + 1.26479i 0.101529 + 0.0712629i
\(316\) −2.71608 2.88761i −0.152792 0.162441i
\(317\) −0.442964 + 21.7110i −0.0248793 + 1.21941i 0.779927 + 0.625871i \(0.215256\pi\)
−0.804806 + 0.593538i \(0.797731\pi\)
\(318\) −0.0413494 0.287591i −0.00231876 0.0161273i
\(319\) 25.2602 + 14.2255i 1.41430 + 0.796476i
\(320\) −9.80751 + 11.3185i −0.548256 + 0.632721i
\(321\) −0.385873 0.185827i −0.0215373 0.0103718i
\(322\) −1.23493 2.34205i −0.0688198 0.130517i
\(323\) 3.86916 + 4.85178i 0.215286 + 0.269960i
\(324\) −3.27705 + 1.41652i −0.182058 + 0.0786955i
\(325\) −3.00034 + 4.88491i −0.166429 + 0.270966i
\(326\) −3.15486 1.85017i −0.174731 0.102472i
\(327\) 0.434129 0.331948i 0.0240074 0.0183568i
\(328\) 25.3624 2.07417i 1.40040 0.114527i
\(329\) −3.34728 2.34945i −0.184542 0.129529i
\(330\) −0.329310 + 0.322660i −0.0181279 + 0.0177619i
\(331\) −9.28341 + 20.3278i −0.510262 + 1.11732i 0.462734 + 0.886497i \(0.346868\pi\)
−0.972996 + 0.230821i \(0.925859\pi\)
\(332\) −0.274151 + 0.490118i −0.0150460 + 0.0268987i
\(333\) 27.6738 + 11.9621i 1.51651 + 0.655519i
\(334\) 20.9765 + 9.06719i 1.14778 + 0.496134i
\(335\) −4.43690 + 7.93213i −0.242413 + 0.433379i
\(336\) −0.0221821 + 0.0485721i −0.00121013 + 0.00264982i
\(337\) 16.7860 16.4470i 0.914394 0.895928i −0.0805103 0.996754i \(-0.525655\pi\)
0.994904 + 0.100826i \(0.0321485\pi\)
\(338\) −6.20687 4.35659i −0.337609 0.236967i
\(339\) 0.137751 0.0112655i 0.00748162 0.000611858i
\(340\) −0.535100 + 0.409153i −0.0290199 + 0.0221895i
\(341\) −33.2326 19.4894i −1.79965 1.05541i
\(342\) −12.2433 + 19.9337i −0.662044 + 1.07789i
\(343\) −5.52803 + 2.38952i −0.298486 + 0.129022i
\(344\) 11.7419 + 14.7239i 0.633080 + 0.793857i
\(345\) −0.305593 + 0.108938i −0.0164526 + 0.00586501i
\(346\) −3.47199 1.67202i −0.186655 0.0898885i
\(347\) −10.2700 + 11.8523i −0.551325 + 0.636262i −0.961191 0.275883i \(-0.911030\pi\)
0.409867 + 0.912145i \(0.365575\pi\)
\(348\) 0.0244582 0.0824151i 0.00131110 0.00441791i
\(349\) −1.46266 10.1730i −0.0782942 0.544548i −0.990784 0.135449i \(-0.956752\pi\)
0.912490 0.409099i \(-0.134157\pi\)
\(350\) 0.0243841 1.19514i 0.00130339 0.0638827i
\(351\) 0.437190 + 0.464799i 0.0233355 + 0.0248092i
\(352\) −9.74598 6.84068i −0.519462 0.364609i
\(353\) 15.9192 + 25.9184i 0.847292 + 1.37949i 0.923981 + 0.382439i \(0.124916\pi\)
−0.0766885 + 0.997055i \(0.524435\pi\)
\(354\) 0.00761067 + 0.373021i 0.000404502 + 0.0198258i
\(355\) −9.57035 + 6.71741i −0.507941 + 0.356523i
\(356\) −3.58149 + 4.88743i −0.189818 + 0.259033i
\(357\) −0.0104287 + 0.0142314i −0.000551945 + 0.000753205i
\(358\) 4.48626 + 10.9890i 0.237106 + 0.580785i
\(359\) −0.945403 0.722883i −0.0498965 0.0381523i 0.582164 0.813071i \(-0.302206\pi\)
−0.632060 + 0.774919i \(0.717791\pi\)
\(360\) −12.8891 8.28332i −0.679315 0.436569i
\(361\) −1.16090 18.9452i −0.0610998 0.997118i
\(362\) 6.68633 + 21.1645i 0.351425 + 1.11238i
\(363\) −0.555529 0.461869i −0.0291577 0.0242418i
\(364\) 0.457223 + 0.0373923i 0.0239650 + 0.00195989i
\(365\) −5.94550 + 3.82094i −0.311202 + 0.199997i
\(366\) 0.141875 + 0.193608i 0.00741591 + 0.0101200i
\(367\) −11.8293 14.8334i −0.617483 0.774300i 0.370505 0.928831i \(-0.379185\pi\)
−0.987988 + 0.154531i \(0.950613\pi\)
\(368\) 7.33848 + 12.6394i 0.382544 + 0.658873i
\(369\) 5.59432 + 24.5103i 0.291228 + 1.27596i
\(370\) 3.91281 + 21.0716i 0.203417 + 1.09546i
\(371\) 1.30372 2.12261i 0.0676856 0.110200i
\(372\) −0.0344155 + 0.108937i −0.00178436 + 0.00564811i
\(373\) −7.25979 + 14.3203i −0.375898 + 0.741476i −0.999179 0.0405218i \(-0.987098\pi\)
0.623281 + 0.781998i \(0.285799\pi\)
\(374\) 4.70181 + 4.99874i 0.243125 + 0.258479i
\(375\) −0.478275 0.0787547i −0.0246980 0.00406687i
\(376\) 23.9425 + 15.3869i 1.23474 + 0.793520i
\(377\) 14.2337 0.830901i 0.733073 0.0427936i
\(378\) −0.127666 0.0374862i −0.00656645 0.00192808i
\(379\) 8.66812 + 31.9154i 0.445251 + 1.63938i 0.731946 + 0.681363i \(0.238612\pi\)
−0.286694 + 0.958022i \(0.592556\pi\)
\(380\) 4.11924 0.168158i 0.211313 0.00862633i
\(381\) 0.0841196 + 0.206049i 0.00430958 + 0.0105562i
\(382\) 17.1096 14.2250i 0.875405 0.727815i
\(383\) −12.8212 1.57720i −0.655133 0.0805910i −0.212313 0.977202i \(-0.568100\pi\)
−0.442820 + 0.896611i \(0.646022\pi\)
\(384\) 0.103833 0.254336i 0.00529871 0.0129790i
\(385\) −3.93954 + 0.322181i −0.200778 + 0.0164199i
\(386\) 26.5174 20.2760i 1.34970 1.03202i
\(387\) −12.7476 + 13.5526i −0.647995 + 0.688917i
\(388\) −0.180049 0.498190i −0.00914059 0.0252918i
\(389\) 16.8568 19.4538i 0.854676 0.986349i −0.145319 0.989385i \(-0.546421\pi\)
0.999995 + 0.00303599i \(0.000966388\pi\)
\(390\) −0.0504555 + 0.221060i −0.00255491 + 0.0111938i
\(391\) 1.52842 + 4.58088i 0.0772953 + 0.231665i
\(392\) 18.6207 8.96723i 0.940485 0.452914i
\(393\) 0.151283 + 0.206446i 0.00763120 + 0.0104138i
\(394\) −25.7440 + 16.5446i −1.29696 + 0.833507i
\(395\) 16.7431 + 1.36927i 0.842435 + 0.0688955i
\(396\) 2.89992 5.72022i 0.145726 0.287452i
\(397\) 5.92247 0.484348i 0.297240 0.0243087i 0.0680222 0.997684i \(-0.478331\pi\)
0.229218 + 0.973375i \(0.426383\pi\)
\(398\) −15.9121 28.4470i −0.797599 1.42592i
\(399\) 0.102283 0.0346233i 0.00512054 0.00173334i
\(400\) 0.134601 + 6.59718i 0.00673004 + 0.329859i
\(401\) 9.81582 + 8.86240i 0.490178 + 0.442567i 0.877641 0.479318i \(-0.159116\pi\)
−0.387463 + 0.921885i \(0.626648\pi\)
\(402\) 0.0501296 0.269963i 0.00250024 0.0134645i
\(403\) −18.9318 + 0.772846i −0.943062 + 0.0384982i
\(404\) 0.0772385 + 0.0697363i 0.00384276 + 0.00346951i
\(405\) 6.28466 13.7615i 0.312287 0.683814i
\(406\) −2.47256 + 1.65089i −0.122711 + 0.0819325i
\(407\) −51.9368 + 15.2500i −2.57441 + 0.755915i
\(408\) 0.0684770 0.101919i 0.00339011 0.00504576i
\(409\) −10.2194 2.55290i −0.505316 0.126233i −0.0186590 0.999826i \(-0.505940\pi\)
−0.486657 + 0.873593i \(0.661784\pi\)
\(410\) −12.2448 + 13.0181i −0.604727 + 0.642917i
\(411\) −0.361154 + 0.0444272i −0.0178144 + 0.00219143i
\(412\) −1.03025 + 3.79332i −0.0507569 + 0.186883i
\(413\) −1.99439 + 2.50089i −0.0981377 + 0.123061i
\(414\) −14.2821 + 11.2880i −0.701928 + 0.554776i
\(415\) −0.529546 2.32009i −0.0259944 0.113889i
\(416\) −5.85122 0.238862i −0.286880 0.0117112i
\(417\) 0.173122 + 0.479025i 0.00847782 + 0.0234579i
\(418\) −5.97739 41.5736i −0.292364 2.03343i
\(419\) −15.3901 + 3.18386i −0.751855 + 0.155542i −0.562993 0.826462i \(-0.690350\pi\)
−0.188862 + 0.982004i \(0.560480\pi\)
\(420\) 0.00353098 + 0.0111768i 0.000172294 + 0.000545370i
\(421\) −2.38918 + 2.15712i −0.116441 + 0.105131i −0.726297 0.687382i \(-0.758760\pi\)
0.609855 + 0.792513i \(0.291228\pi\)
\(422\) −11.8287 + 11.5898i −0.575810 + 0.564182i
\(423\) −11.6806 + 25.5768i −0.567928 + 1.24359i
\(424\) −8.46298 + 15.1298i −0.410998 + 0.734769i
\(425\) −0.398052 + 2.14363i −0.0193083 + 0.103981i
\(426\) 0.208794 0.284928i 0.0101161 0.0138048i
\(427\) −0.125862 + 2.05401i −0.00609090 + 0.0994004i
\(428\) 1.91505 + 3.77752i 0.0925673 + 0.182593i
\(429\) −0.568394 0.0699208i −0.0274423 0.00337581i
\(430\) −13.0506 2.14897i −0.629358 0.103633i
\(431\) 6.41272 3.76076i 0.308890 0.181149i −0.343258 0.939241i \(-0.611531\pi\)
0.652148 + 0.758092i \(0.273868\pi\)
\(432\) 0.712576 + 0.178008i 0.0342838 + 0.00856442i
\(433\) 9.67203 30.6153i 0.464808 1.47128i −0.374298 0.927308i \(-0.622116\pi\)
0.839106 0.543967i \(-0.183078\pi\)
\(434\) 3.32373 2.13603i 0.159544 0.102533i
\(435\) 0.157113 + 0.328675i 0.00753299 + 0.0157588i
\(436\) −5.40415 −0.258812
\(437\) 8.45054 28.3222i 0.404244 1.35483i
\(438\) 0.133123 0.166931i 0.00636087 0.00797628i
\(439\) 25.2030 + 1.02885i 1.20287 + 0.0491043i 0.634008 0.773327i \(-0.281409\pi\)
0.568865 + 0.822431i \(0.307383\pi\)
\(440\) 27.3025 3.35861i 1.30159 0.160115i
\(441\) 11.3872 + 16.9484i 0.542245 + 0.807065i
\(442\) 3.27448 + 0.817996i 0.155751 + 0.0389081i
\(443\) 3.99753 0.326923i 0.189928 0.0155326i 0.0138257 0.999904i \(-0.495599\pi\)
0.176103 + 0.984372i \(0.443651\pi\)
\(444\) 0.0783593 + 0.140088i 0.00371877 + 0.00664829i
\(445\) −2.61446 25.5431i −0.123937 1.21086i
\(446\) 2.14509 + 1.64020i 0.101573 + 0.0776658i
\(447\) −0.464673 0.136440i −0.0219783 0.00645340i
\(448\) 3.42338 1.82423i 0.161740 0.0861867i
\(449\) 29.5114 + 12.7564i 1.39273 + 0.602012i 0.954868 0.297031i \(-0.0959965\pi\)
0.437859 + 0.899044i \(0.355737\pi\)
\(450\) −8.10974 + 1.33538i −0.382297 + 0.0629505i
\(451\) −35.8572 27.4175i −1.68845 1.29104i
\(452\) −1.14977 0.738912i −0.0540806 0.0347555i
\(453\) 0.0330178 + 0.538835i 0.00155131 + 0.0253167i
\(454\) −13.9646 + 8.18957i −0.655391 + 0.384356i
\(455\) −1.54429 + 1.18081i −0.0723972 + 0.0553571i
\(456\) −0.701402 + 0.269791i −0.0328462 + 0.0126341i
\(457\) 2.68992 26.2803i 0.125829 1.22934i −0.719271 0.694730i \(-0.755524\pi\)
0.845100 0.534609i \(-0.179541\pi\)
\(458\) 9.42770 34.7121i 0.440527 1.62199i
\(459\) 0.218649 + 0.105296i 0.0102057 + 0.00491479i
\(460\) 3.05492 + 0.979795i 0.142436 + 0.0456832i
\(461\) −9.18263 + 11.5147i −0.427678 + 0.536291i −0.948249 0.317527i \(-0.897148\pi\)
0.520571 + 0.853818i \(0.325719\pi\)
\(462\) 0.109612 0.0473804i 0.00509963 0.00220434i
\(463\) −1.44479 + 0.928508i −0.0671449 + 0.0431514i −0.573783 0.819008i \(-0.694525\pi\)
0.506638 + 0.862159i \(0.330888\pi\)
\(464\) 13.2655 9.66211i 0.615837 0.448552i
\(465\) −0.201111 0.440371i −0.00932628 0.0204217i
\(466\) −0.206082 + 0.306728i −0.00954657 + 0.0142089i
\(467\) 4.25177 10.4146i 0.196749 0.481931i −0.795537 0.605905i \(-0.792811\pi\)
0.992285 + 0.123975i \(0.0395642\pi\)
\(468\) −0.321166 3.13777i −0.0148459 0.145043i
\(469\) 1.81018 1.50499i 0.0835863 0.0694940i
\(470\) −19.7227 + 3.24762i −0.909740 + 0.149802i
\(471\) −0.548653 + 0.0223974i −0.0252806 + 0.00103202i
\(472\) 13.1583 17.9563i 0.605658 0.826505i
\(473\) 2.04312 33.3427i 0.0939428 1.53310i
\(474\) −0.492380 + 0.123001i −0.0226157 + 0.00564963i
\(475\) 9.53140 9.33892i 0.437331 0.428499i
\(476\) 0.167404 0.0491542i 0.00767294 0.00225298i
\(477\) −15.9854 6.14869i −0.731920 0.281529i
\(478\) 7.48047 + 6.21929i 0.342149 + 0.284464i
\(479\) −2.97987 4.43517i −0.136154 0.202648i 0.755766 0.654842i \(-0.227265\pi\)
−0.891920 + 0.452194i \(0.850641\pi\)
\(480\) −0.0508562 0.140718i −0.00232126 0.00642286i
\(481\) −17.4335 + 20.1193i −0.794898 + 0.917362i
\(482\) 3.55152 15.5602i 0.161767 0.708749i
\(483\) 0.0840055 + 0.00208065i 0.00382238 + 9.46728e-5i
\(484\) 1.58972 + 6.96501i 0.0722599 + 0.316591i
\(485\) 1.98106 + 1.05565i 0.0899553 + 0.0479348i
\(486\) −0.139740 + 1.36524i −0.00633871 + 0.0619287i
\(487\) −19.2030 28.5813i −0.870172 1.29514i −0.954350 0.298691i \(-0.903450\pi\)
0.0841782 0.996451i \(-0.473174\pi\)
\(488\) 0.292136 14.3184i 0.0132244 0.648165i
\(489\) 0.100128 0.0587201i 0.00452792 0.00265541i
\(490\) −5.48620 + 13.4383i −0.247841 + 0.607080i
\(491\) 18.9357 + 30.8297i 0.854558 + 1.39132i 0.919356 + 0.393426i \(0.128710\pi\)
−0.0647979 + 0.997898i \(0.520640\pi\)
\(492\) −0.0556041 + 0.121756i −0.00250683 + 0.00548919i
\(493\) 4.93903 2.23835i 0.222443 0.100810i
\(494\) −13.5273 15.6114i −0.608624 0.702389i
\(495\) 7.12314 + 26.2269i 0.320161 + 1.17881i
\(496\) −17.8509 + 12.5295i −0.801529 + 0.562591i
\(497\) 2.93822 0.733995i 0.131797 0.0329242i
\(498\) 0.0376273 + 0.0612618i 0.00168612 + 0.00274521i
\(499\) 7.70265 6.95449i 0.344818 0.311326i −0.479402 0.877595i \(-0.659146\pi\)
0.824220 + 0.566270i \(0.191614\pi\)
\(500\) 3.28404 + 3.49143i 0.146867 + 0.156142i
\(501\) −0.576151 + 0.440542i −0.0257405 + 0.0196820i
\(502\) 18.2634 7.02492i 0.815136 0.313538i
\(503\) 27.6427 + 9.35725i 1.23253 + 0.417219i 0.859757 0.510704i \(-0.170615\pi\)
0.372772 + 0.927923i \(0.378407\pi\)
\(504\) 2.34565 + 3.20096i 0.104484 + 0.142582i
\(505\) −0.440974 −0.0196231
\(506\) 6.76108 31.9777i 0.300566 1.42158i
\(507\) 0.216839 0.104424i 0.00963016 0.00463764i
\(508\) 0.576839 2.12388i 0.0255931 0.0942320i
\(509\) 3.16758 + 8.76461i 0.140400 + 0.388484i 0.990388 0.138319i \(-0.0441698\pi\)
−0.849987 + 0.526803i \(0.823391\pi\)
\(510\) 0.0122726 + 0.0853576i 0.000543439 + 0.00377970i
\(511\) 1.79259 0.370847i 0.0792997 0.0164053i
\(512\) −21.7708 + 12.7676i −0.962144 + 0.564252i
\(513\) −0.725088 1.29629i −0.0320134 0.0572325i
\(514\) 4.54293 12.5702i 0.200380 0.554447i
\(515\) −7.53178 14.8568i −0.331890 0.654668i
\(516\) −0.0977431 + 0.0160948i −0.00430290 + 0.000708533i
\(517\) −13.2318 48.7186i −0.581934 2.14264i
\(518\) 1.01347 5.45782i 0.0445292 0.239803i
\(519\) 0.100106 0.0702645i 0.00439419 0.00308427i
\(520\) 10.4031 8.64920i 0.456207 0.379293i
\(521\) 2.85349 + 1.83383i 0.125014 + 0.0803414i 0.601653 0.798757i \(-0.294509\pi\)
−0.476640 + 0.879099i \(0.658145\pi\)
\(522\) 14.2638 + 14.6422i 0.624309 + 0.640872i
\(523\) −3.09310 + 21.5130i −0.135252 + 0.940697i 0.803304 + 0.595569i \(0.203073\pi\)
−0.938556 + 0.345127i \(0.887836\pi\)
\(524\) 0.0516276 2.53042i 0.00225536 0.110542i
\(525\) 0.0327261 + 0.0191923i 0.00142828 + 0.000837621i
\(526\) 10.4595 + 3.54062i 0.456058 + 0.154378i
\(527\) −6.61463 + 2.85920i −0.288138 + 0.124549i
\(528\) −0.593891 + 0.286003i −0.0258458 + 0.0124467i
\(529\) 13.7562 18.4327i 0.598097 0.801424i
\(530\) −2.70926 11.8700i −0.117683 0.515601i
\(531\) 19.4095 + 10.3428i 0.842302 + 0.448840i
\(532\) −1.01145 0.342381i −0.0438518 0.0148441i
\(533\) −22.1258 1.80948i −0.958375 0.0783772i
\(534\) 0.322241 + 0.705610i 0.0139447 + 0.0305347i
\(535\) −16.7507 6.44308i −0.724198 0.278559i
\(536\) −12.1600 + 10.9789i −0.525233 + 0.474217i
\(537\) −0.373890 0.0459939i −0.0161345 0.00198478i
\(538\) 8.98501 + 6.87020i 0.387371 + 0.296196i
\(539\) −35.1749 10.3283i −1.51509 0.444871i
\(540\) 0.142284 0.0758190i 0.00612291 0.00326273i
\(541\) −1.44356 + 7.77398i −0.0620634 + 0.334230i −0.999918 0.0127984i \(-0.995926\pi\)
0.937855 + 0.347028i \(0.112809\pi\)
\(542\) −1.07995 + 17.6242i −0.0463878 + 0.757026i
\(543\) −0.689826 0.142709i −0.0296033 0.00612425i
\(544\) −2.10959 + 0.714111i −0.0904481 + 0.0306173i
\(545\) 16.9976 15.3466i 0.728099 0.657378i
\(546\) 0.0327529 0.0487487i 0.00140170 0.00208625i
\(547\) 11.9831 23.6373i 0.512361 1.01066i −0.478792 0.877929i \(-0.658925\pi\)
0.991153 0.132728i \(-0.0423736\pi\)
\(548\) 3.10389 + 1.82029i 0.132592 + 0.0777588i
\(549\) 14.0431 1.72751i 0.599344 0.0737282i
\(550\) 9.66347 11.1522i 0.412052 0.475533i
\(551\) −32.6125 6.15342i −1.38934 0.262144i
\(552\) −0.584730 + 0.00937808i −0.0248877 + 0.000399158i
\(553\) −3.92024 1.88789i −0.166706 0.0802812i
\(554\) 3.56908 + 19.2205i 0.151636 + 0.816602i
\(555\) −0.644283 0.218094i −0.0273483 0.00925758i
\(556\) 1.51732 4.80284i 0.0643487 0.203686i
\(557\) 21.2897 + 17.7004i 0.902075 + 0.749989i 0.968816 0.247782i \(-0.0797016\pi\)
−0.0667408 + 0.997770i \(0.521260\pi\)
\(558\) −18.6118 19.7872i −0.787900 0.837657i
\(559\) −8.02035 14.3385i −0.339225 0.606455i
\(560\) −0.760535 + 2.10438i −0.0321385 + 0.0889264i
\(561\) −0.211307 + 0.0527865i −0.00892139 + 0.00222865i
\(562\) 12.8220 22.9227i 0.540861 0.966934i
\(563\) −26.7712 30.8957i −1.12827 1.30210i −0.947925 0.318494i \(-0.896823\pi\)
−0.180348 0.983603i \(-0.557722\pi\)
\(564\) −0.132116 + 0.0704010i −0.00556309 + 0.00296442i
\(565\) 5.71472 0.941009i 0.240420 0.0395885i
\(566\) 0.318466 + 15.6090i 0.0133861 + 0.656093i
\(567\) −2.79892 + 2.74239i −0.117543 + 0.115170i
\(568\) −20.2228 + 5.93794i −0.848529 + 0.249151i
\(569\) 37.8940 + 14.5757i 1.58860 + 0.611046i 0.982817 0.184585i \(-0.0590940\pi\)
0.605782 + 0.795630i \(0.292860\pi\)
\(570\) 0.238652 0.470753i 0.00999604 0.0197177i
\(571\) 10.5738 4.06715i 0.442500 0.170205i −0.127520 0.991836i \(-0.540702\pi\)
0.570020 + 0.821631i \(0.306935\pi\)
\(572\) 4.04503 + 3.96334i 0.169131 + 0.165716i
\(573\) 0.128927 + 0.694313i 0.00538602 + 0.0290053i
\(574\) 4.17063 2.00847i 0.174079 0.0838318i
\(575\) 9.46444 4.27246i 0.394694 0.178174i
\(576\) −16.6291 20.8522i −0.692878 0.868841i
\(577\) 1.48109 + 7.97612i 0.0616587 + 0.332050i 0.999903 0.0139229i \(-0.00443194\pi\)
−0.938244 + 0.345973i \(0.887549\pi\)
\(578\) −20.0865 + 2.47093i −0.835487 + 0.102777i
\(579\) 0.150773 + 1.04865i 0.00626590 + 0.0435803i
\(580\) 0.740002 3.52561i 0.0307269 0.146393i
\(581\) −0.0877211 + 0.610113i −0.00363928 + 0.0253118i
\(582\) −0.0669153 0.0110186i −0.00277373 0.000456734i
\(583\) 29.1270 9.85969i 1.20632 0.408346i
\(584\) −12.3597 + 3.08757i −0.511447 + 0.127764i
\(585\) 9.92075 + 8.95715i 0.410173 + 0.370332i
\(586\) 28.8579 + 12.4739i 1.19211 + 0.515294i
\(587\) −36.8805 + 1.50555i −1.52222 + 0.0621409i −0.787536 0.616269i \(-0.788643\pi\)
−0.734684 + 0.678410i \(0.762669\pi\)
\(588\) −0.00664892 + 0.108507i −0.000274197 + 0.00447476i
\(589\) 43.1895 + 8.93493i 1.77959 + 0.368157i
\(590\) 1.59195 + 15.5533i 0.0655397 + 0.640317i
\(591\) −0.0594021 0.969413i −0.00244348 0.0398763i
\(592\) −4.36085 + 30.3304i −0.179230 + 1.24657i
\(593\) −26.4320 + 5.46819i −1.08543 + 0.224552i −0.711346 0.702842i \(-0.751914\pi\)
−0.374088 + 0.927393i \(0.622044\pi\)
\(594\) −0.916016 1.36338i −0.0375846 0.0559400i
\(595\) −0.386946 + 0.629995i −0.0158632 + 0.0258273i
\(596\) 2.83070 + 3.86288i 0.115950 + 0.158230i
\(597\) 1.03448 0.0423386
\(598\) −5.70538 15.0282i −0.233310 0.614550i
\(599\) −6.89691 8.64846i −0.281800 0.353366i 0.620706 0.784044i \(-0.286846\pi\)
−0.902506 + 0.430677i \(0.858275\pi\)
\(600\) −0.233011 0.124166i −0.00951265 0.00506904i
\(601\) −12.6303 12.3752i −0.515201 0.504797i 0.395160 0.918613i \(-0.370689\pi\)
−0.910361 + 0.413816i \(0.864196\pi\)
\(602\) 2.95511 + 1.73303i 0.120441 + 0.0706332i
\(603\) −12.4460 10.3477i −0.506840 0.421389i
\(604\) 2.97716 4.43113i 0.121139 0.180300i
\(605\) −24.7793 17.3925i −1.00742 0.707107i
\(606\) 0.0126188 0.00427155i 0.000512604 0.000173520i
\(607\) −30.4939 + 25.3527i −1.23771 + 1.02903i −0.239398 + 0.970922i \(0.576950\pi\)
−0.998310 + 0.0581132i \(0.981492\pi\)
\(608\) 13.0790 + 3.84034i 0.530423 + 0.155746i
\(609\) −0.00741914 0.0940653i −0.000300639 0.00381172i
\(610\) 6.58670 + 7.60145i 0.266688 + 0.307774i
\(611\) −18.4286 16.6386i −0.745541 0.673127i
\(612\) −0.542419 1.06995i −0.0219260 0.0432501i
\(613\) −2.11278 20.6416i −0.0853342 0.833708i −0.945919 0.324402i \(-0.894837\pi\)
0.860585 0.509306i \(-0.170098\pi\)
\(614\) −15.3130 2.52150i −0.617981 0.101759i
\(615\) −0.170870 0.540862i −0.00689015 0.0218097i
\(616\) −6.91256 1.72682i −0.278515 0.0695758i
\(617\) 3.95394 1.52086i 0.159180 0.0612275i −0.278105 0.960551i \(-0.589706\pi\)
0.437285 + 0.899323i \(0.355940\pi\)
\(618\) 0.359440 + 0.352181i 0.0144588 + 0.0141668i
\(619\) −6.77247 0.276469i −0.272208 0.0111122i −0.0956959 0.995411i \(-0.530508\pi\)
−0.176513 + 0.984298i \(0.556482\pi\)
\(620\) −1.06528 + 4.66731i −0.0427828 + 0.187443i
\(621\) −0.182818 1.14129i −0.00733623 0.0457982i
\(622\) −0.875847 + 3.83734i −0.0351183 + 0.153863i
\(623\) −1.74312 + 6.41804i −0.0698365 + 0.257133i
\(624\) −0.169671 + 0.276244i −0.00679226 + 0.0110586i
\(625\) −9.45402 0.773163i −0.378161 0.0309265i
\(626\) 16.0300 + 35.1009i 0.640689 + 1.40291i
\(627\) 1.24415 + 0.478556i 0.0496867 + 0.0191117i
\(628\) 4.44447 + 3.11956i 0.177354 + 0.124484i
\(629\) −3.44128 + 9.52195i −0.137213 + 0.379665i
\(630\) −2.72928 0.564627i −0.108737 0.0224953i
\(631\) −17.7290 + 12.4439i −0.705780 + 0.495386i −0.871256 0.490828i \(-0.836694\pi\)
0.165476 + 0.986214i \(0.447084\pi\)
\(632\) 27.7956 + 12.0148i 1.10565 + 0.477922i
\(633\) −0.137756 0.507207i −0.00547529 0.0201597i
\(634\) −10.3907 25.4518i −0.412669 1.01082i
\(635\) 4.21705 + 8.31832i 0.167348 + 0.330103i
\(636\) −0.0477244 0.0777012i −0.00189240 0.00308105i
\(637\) −17.2996 + 5.07961i −0.685434 + 0.201262i
\(638\) −36.4993 3.84253i −1.44502 0.152127i
\(639\) −8.65006 18.9410i −0.342191 0.749294i
\(640\) 3.46788 10.9770i 0.137080 0.433905i
\(641\) 0.335830 3.28103i 0.0132645 0.129593i −0.986058 0.166403i \(-0.946785\pi\)
0.999322 + 0.0368103i \(0.0117197\pi\)
\(642\) 0.541748 + 0.0221155i 0.0213811 + 0.000872830i
\(643\) −8.65695 4.16897i −0.341397 0.164408i 0.255327 0.966855i \(-0.417817\pi\)
−0.596724 + 0.802447i \(0.703531\pi\)
\(644\) −0.647407 0.520927i −0.0255114 0.0205274i
\(645\) 0.261725 0.328192i 0.0103054 0.0129226i
\(646\) −6.93324 3.69454i −0.272785 0.145360i
\(647\) −17.5004 17.1470i −0.688013 0.674119i 0.269338 0.963046i \(-0.413195\pi\)
−0.957351 + 0.288927i \(0.906702\pi\)
\(648\) 18.6840 19.8640i 0.733978 0.780331i
\(649\) −38.6685 + 7.99964i −1.51787 + 0.314014i
\(650\) 1.03285 7.18362i 0.0405116 0.281765i
\(651\) 0.00766925 + 0.125158i 0.000300581 + 0.00490534i
\(652\) −1.13925 0.140145i −0.0446167 0.00548850i
\(653\) 0.157591 + 7.72400i 0.00616701 + 0.302263i 0.991387 + 0.130968i \(0.0418084\pi\)
−0.985220 + 0.171296i \(0.945205\pi\)
\(654\) −0.337743 + 0.603806i −0.0132068 + 0.0236107i
\(655\) 7.02347 + 8.10551i 0.274430 + 0.316709i
\(656\) −22.5506 + 12.0166i −0.880453 + 0.469169i
\(657\) −4.75712 11.6524i −0.185593 0.454605i
\(658\) 5.06986 + 1.04884i 0.197644 + 0.0408880i
\(659\) −4.15069 + 11.4849i −0.161688 + 0.447387i −0.994319 0.106441i \(-0.966054\pi\)
0.832631 + 0.553828i \(0.186834\pi\)
\(660\) −0.0546895 + 0.133960i −0.00212879 + 0.00521441i
\(661\) 0.774983 + 2.45308i 0.0301433 + 0.0954139i 0.967424 0.253162i \(-0.0814706\pi\)
−0.937281 + 0.348576i \(0.886665\pi\)
\(662\) 0.577096 28.2851i 0.0224295 1.09933i
\(663\) −0.0733908 + 0.0780255i −0.00285026 + 0.00303026i
\(664\) 0.436787 4.26737i 0.0169506 0.165606i
\(665\) 4.15358 1.79540i 0.161069 0.0696228i
\(666\) −38.1671 −1.47894
\(667\) −22.1826 13.2262i −0.858913 0.512121i
\(668\) 7.17208 0.277496
\(669\) −0.0786668 + 0.0340041i −0.00304143 + 0.00131467i
\(670\) 1.17158 11.4462i 0.0452621 0.442207i
\(671\) −17.4049 + 18.5041i −0.671910 + 0.714343i
\(672\) −0.000790544 0.0387469i −3.04959e−5 0.00149469i
\(673\) −0.0519136 0.164324i −0.00200112 0.00633423i 0.952541 0.304412i \(-0.0984598\pi\)
−0.954542 + 0.298077i \(0.903655\pi\)
\(674\) −11.2449 + 27.5441i −0.433137 + 1.06096i
\(675\) 0.177368 0.490772i 0.00682689 0.0188898i
\(676\) −2.33060 0.482149i −0.0896386 0.0185442i
\(677\) 14.1752 + 34.7217i 0.544796 + 1.33446i 0.914226 + 0.405204i \(0.132800\pi\)
−0.369430 + 0.929258i \(0.620447\pi\)
\(678\) −0.154416 + 0.0822841i −0.00593031 + 0.00316010i
\(679\) −0.380752 0.439411i −0.0146119 0.0168630i
\(680\) 2.51183 4.49056i 0.0963242 0.172205i
\(681\) −0.0104807 0.513688i −0.000401620 0.0196846i
\(682\) 48.4077 + 5.95486i 1.85363 + 0.228023i
\(683\) 1.81426 + 29.6078i 0.0694207 + 1.13291i 0.856530 + 0.516097i \(0.172616\pi\)
−0.787109 + 0.616814i \(0.788423\pi\)
\(684\) −1.04486 + 7.26716i −0.0399512 + 0.277867i
\(685\) −14.9319 + 3.08906i −0.570517 + 0.118027i
\(686\) 5.22362 5.55350i 0.199439 0.212034i
\(687\) 0.815417 + 0.798950i 0.0311101 + 0.0304818i
\(688\) −16.6889 8.89308i −0.636259 0.339045i
\(689\) 9.42940 11.8241i 0.359232 0.450462i
\(690\) 0.300396 0.280092i 0.0114359 0.0106629i
\(691\) 31.1257 + 14.9894i 1.18408 + 0.570222i 0.919097 0.394031i \(-0.128920\pi\)
0.264982 + 0.964253i \(0.414634\pi\)
\(692\) −1.20843 0.0493313i −0.0459377 0.00187529i
\(693\) 0.716751 7.00260i 0.0272271 0.266007i
\(694\) 5.98092 18.9317i 0.227033 0.718636i
\(695\) 8.86662 + 19.4152i 0.336330 + 0.736460i
\(696\) 0.0782913 + 0.651984i 0.00296762 + 0.0247134i
\(697\) −8.10095 + 2.37865i −0.306845 + 0.0900979i
\(698\) 6.80962 + 11.0869i 0.257748 + 0.419645i
\(699\) −0.00530305 0.0104605i −0.000200580 0.000395654i
\(700\) −0.141800 0.347335i −0.00535954 0.0131280i
\(701\) −8.94737 32.9436i −0.337938 1.24426i −0.906705 0.421765i \(-0.861411\pi\)
0.568768 0.822498i \(-0.307420\pi\)
\(702\) −0.741509 0.320521i −0.0279865 0.0120973i
\(703\) 50.7200 35.6002i 1.91294 1.34269i
\(704\) 46.8928 + 9.70107i 1.76734 + 0.365623i
\(705\) 0.215619 0.596613i 0.00812069 0.0224697i
\(706\) −31.5178 22.1223i −1.18619 0.832584i
\(707\) 0.106604 + 0.0410044i 0.00400924 + 0.00154213i
\(708\) 0.0486430 + 0.106513i 0.00182812 + 0.00400302i
\(709\) −2.34909 0.192112i −0.0882218 0.00721490i 0.0373185 0.999303i \(-0.488118\pi\)
−0.125540 + 0.992089i \(0.540066\pi\)
\(710\) 7.74710 12.6132i 0.290743 0.473366i
\(711\) −7.84117 + 28.8707i −0.294067 + 1.08273i
\(712\) 10.2991 45.1231i 0.385974 1.69106i
\(713\) 29.1665 + 18.0900i 1.09230 + 0.677474i
\(714\) 0.00497024 0.0217760i 0.000186006 0.000814947i
\(715\) −23.9779 0.978838i −0.896721 0.0366064i
\(716\) 2.66082 + 2.60709i 0.0994395 + 0.0974314i
\(717\) −0.288166 + 0.110842i −0.0107618 + 0.00413945i
\(718\) 1.46172 + 0.365151i 0.0545508 + 0.0136273i
\(719\) 3.64739 + 11.5452i 0.136025 + 0.430564i 0.996939 0.0781860i \(-0.0249128\pi\)
−0.860914 + 0.508750i \(0.830108\pi\)
\(720\) 15.1803 + 2.49965i 0.565737 + 0.0931565i
\(721\) 0.439299 + 4.29192i 0.0163604 + 0.159839i
\(722\) 10.8653 + 21.4323i 0.404364 + 0.797628i
\(723\) 0.375974 + 0.339456i 0.0139826 + 0.0126245i
\(724\) 4.56173 + 5.26452i 0.169535 + 0.195654i
\(725\) −5.86951 10.0751i −0.217988 0.374180i
\(726\) 0.877554 + 0.257673i 0.0325691 + 0.00956314i
\(727\) 21.1726 17.6030i 0.785248 0.652858i −0.157066 0.987588i \(-0.550204\pi\)
0.942314 + 0.334730i \(0.108645\pi\)
\(728\) −3.31917 + 1.12356i −0.123017 + 0.0416419i
\(729\) 22.0282 + 15.4616i 0.815860 + 0.572650i
\(730\) 4.98973 7.42659i 0.184678 0.274870i
\(731\) −4.80466 3.99462i −0.177707 0.147746i
\(732\) 0.0649808 + 0.0381082i 0.00240176 + 0.00140852i
\(733\) −10.9689 10.7473i −0.405144 0.396962i 0.468551 0.883437i \(-0.344776\pi\)
−0.873695 + 0.486474i \(0.838283\pi\)
\(734\) 21.1972 + 11.2954i 0.782402 + 0.416921i
\(735\) −0.287224 0.360168i −0.0105944 0.0132850i
\(736\) 8.52872 + 6.30718i 0.314373 + 0.232486i
\(737\) 29.0603 1.07045
\(738\) −18.8125 25.6723i −0.692498 0.945010i
\(739\) −25.5622 + 41.6184i −0.940321 + 1.53096i −0.0958236 + 0.995398i \(0.530548\pi\)
−0.844498 + 0.535559i \(0.820101\pi\)
\(740\) 3.75117 + 5.58315i 0.137896 + 0.205241i
\(741\) 0.642003 0.132816i 0.0235846 0.00487911i
\(742\) −0.448797 + 3.12145i −0.0164759 + 0.114592i
\(743\) 1.84137 + 30.0503i 0.0675534 + 1.10244i 0.865892 + 0.500230i \(0.166751\pi\)
−0.798339 + 0.602208i \(0.794288\pi\)
\(744\) −0.0888565 0.868121i −0.00325764 0.0318269i
\(745\) −19.8731 4.11130i −0.728095 0.150626i
\(746\) 1.24315 20.2876i 0.0455149 0.742781i
\(747\) 4.23448 0.172862i 0.154932 0.00632471i
\(748\) 1.97698 + 0.854560i 0.0722857 + 0.0312458i
\(749\) 3.45030 + 3.11517i 0.126071 + 0.113826i
\(750\) 0.595340 0.148722i 0.0217388 0.00543055i
\(751\) 18.8772 6.39007i 0.688840 0.233177i 0.0457337 0.998954i \(-0.485437\pi\)
0.643107 + 0.765777i \(0.277645\pi\)
\(752\) −28.1986 4.64330i −1.02830 0.169324i
\(753\) −0.0883828 + 0.614716i −0.00322085 + 0.0224015i
\(754\) −16.1230 + 8.11519i −0.587165 + 0.295538i
\(755\) 3.21944 + 22.3917i 0.117167 + 0.814918i
\(756\) −0.0414466 + 0.00509853i −0.00150740 + 0.000185432i
\(757\) 0.783697 + 4.22044i 0.0284840 + 0.153395i 0.994439 0.105316i \(-0.0335855\pi\)
−0.965955 + 0.258711i \(0.916702\pi\)
\(758\) −26.1041 32.7335i −0.948142 1.18893i
\(759\) 0.780991 + 0.682721i 0.0283482 + 0.0247812i
\(760\) −28.3726 + 13.6635i −1.02918 + 0.495629i
\(761\) −8.00250 43.0958i −0.290090 1.56222i −0.742149 0.670235i \(-0.766193\pi\)
0.452059 0.891988i \(-0.350690\pi\)
\(762\) −0.201251 0.197187i −0.00729054 0.00714331i
\(763\) −5.53613 + 2.12944i −0.200421 + 0.0770910i
\(764\) 3.15763 6.22857i 0.114239 0.225342i
\(765\) 4.74449 + 1.82494i 0.171538 + 0.0659810i
\(766\) 15.6912 4.60735i 0.566946 0.166470i
\(767\) −13.8717 + 13.5916i −0.500878 + 0.490763i
\(768\) −0.00748646 0.366933i −0.000270144 0.0132406i
\(769\) 21.2677 3.50203i 0.766934 0.126287i 0.233763 0.972294i \(-0.424896\pi\)
0.533172 + 0.846007i \(0.321000\pi\)
\(770\) 4.41614 2.35324i 0.159146 0.0848049i
\(771\) 0.277793 + 0.320590i 0.0100045 + 0.0115458i
\(772\) 5.11434 9.14325i 0.184069 0.329073i
\(773\) −2.06351 + 0.515484i −0.0742192 + 0.0185407i −0.279294 0.960206i \(-0.590100\pi\)
0.205075 + 0.978746i \(0.434256\pi\)
\(774\) 8.00585 22.1520i 0.287764 0.796237i
\(775\) 7.56446 + 13.5235i 0.271724 + 0.485778i
\(776\) 2.77232 + 2.94740i 0.0995205 + 0.105805i
\(777\) 0.135473 + 0.112633i 0.00486007 + 0.00404068i
\(778\) −9.81686 + 31.0737i −0.351951 + 1.11405i
\(779\) 48.9456 + 16.5684i 1.75366 + 0.593625i
\(780\) 0.0129922 + 0.0699667i 0.000465194 + 0.00250521i
\(781\) 33.6833 + 16.2210i 1.20528 + 0.580434i
\(782\) −4.07710 4.55551i −0.145797 0.162905i
\(783\) −1.25347 + 0.336552i −0.0447955 + 0.0120274i
\(784\) −13.5903 + 15.6840i −0.485367 + 0.560144i
\(785\) −22.8380 + 2.80941i −0.815124 + 0.100272i
\(786\) −0.279497 0.163912i −0.00996934 0.00584655i
\(787\) 2.44723 4.82727i 0.0872342 0.172074i −0.844154 0.536100i \(-0.819897\pi\)
0.931389 + 0.364027i \(0.118598\pi\)
\(788\) −5.35618 + 7.97201i −0.190806 + 0.283991i
\(789\) −0.260126 + 0.234860i −0.00926075 + 0.00836125i
\(790\) −20.1442 + 6.81893i −0.716697 + 0.242607i
\(791\) −1.46901 0.303905i −0.0522320 0.0108056i
\(792\) −2.99621 + 48.8966i −0.106466 + 1.73747i
\(793\) −2.28099 + 12.2838i −0.0810003 + 0.436211i
\(794\) −6.63895 + 3.53772i −0.235608 + 0.125549i
\(795\) 0.370762 + 0.108866i 0.0131496 + 0.00386106i
\(796\) −8.12637 6.21366i −0.288032 0.220238i
\(797\) −45.5771 5.60666i −1.61442 0.198598i −0.736172 0.676794i \(-0.763369\pi\)
−0.878253 + 0.478197i \(0.841291\pi\)
\(798\) −0.101467 + 0.0916112i −0.00359188 + 0.00324300i
\(799\) −8.81328 3.38998i −0.311791 0.119929i
\(800\) 1.98947 + 4.35633i 0.0703384 + 0.154020i
\(801\) 45.5740 + 3.72711i 1.61028 + 0.131691i
\(802\) −15.8581 5.36808i −0.559970 0.189554i
\(803\) 19.9427 + 10.6269i 0.703762 + 0.375016i
\(804\) −0.0191757 0.0840142i −0.000676275 0.00296295i
\(805\) 3.51560 0.200031i 0.123909 0.00705018i
\(806\) 21.6116 10.4076i 0.761237 0.366593i
\(807\) −0.329506 + 0.142430i −0.0115992 + 0.00501379i
\(808\) −0.752916 0.254867i −0.0264875 0.00896619i
\(809\) 6.30550 + 3.69788i 0.221689 + 0.130010i 0.612528 0.790449i \(-0.290153\pi\)
−0.390839 + 0.920459i \(0.627815\pi\)
\(810\) −0.390681 + 19.1484i −0.0137271 + 0.672807i
\(811\) −4.46855 + 31.0795i −0.156912 + 1.09135i 0.747368 + 0.664410i \(0.231317\pi\)
−0.904281 + 0.426938i \(0.859592\pi\)
\(812\) −0.506726 + 0.783492i −0.0177826 + 0.0274952i
\(813\) −0.471439 0.302975i −0.0165341 0.0106258i
\(814\) 52.6933 43.8094i 1.84690 1.53552i
\(815\) 3.98127 2.79445i 0.139458 0.0978851i
\(816\) −0.0225100 + 0.121223i −0.000788009 + 0.00424366i
\(817\) 10.0233 + 36.9051i 0.350671 + 1.29115i
\(818\) 13.1578 2.16662i 0.460052 0.0757541i
\(819\) −1.56541 3.08785i −0.0546998 0.107898i
\(820\) −1.90644 + 5.27508i −0.0665758 + 0.184214i
\(821\) −16.5540 29.5947i −0.577738 1.03286i −0.992420 0.122894i \(-0.960782\pi\)
0.414682 0.909967i \(-0.363893\pi\)
\(822\) 0.397365 0.233036i 0.0138597 0.00812805i
\(823\) −33.8971 + 7.01253i −1.18158 + 0.244442i −0.752355 0.658757i \(-0.771082\pi\)
−0.429222 + 0.903199i \(0.641212\pi\)
\(824\) −4.27302 29.7195i −0.148858 1.03533i
\(825\) 0.159183 + 0.440455i 0.00554203 + 0.0153347i
\(826\) 1.06139 3.90796i 0.0369305 0.135975i
\(827\) 0.341368 0.164394i 0.0118705 0.00571654i −0.427939 0.903808i \(-0.640760\pi\)
0.439810 + 0.898091i \(0.355046\pi\)
\(828\) −2.70880 + 5.03037i −0.0941372 + 0.174818i
\(829\) −3.93983 −0.136836 −0.0684180 0.997657i \(-0.521795\pi\)
−0.0684180 + 0.997657i \(0.521795\pi\)
\(830\) 1.78075 + 2.43008i 0.0618109 + 0.0843495i
\(831\) −0.587684 0.198935i −0.0203865 0.00690098i
\(832\) 21.9810 8.45486i 0.762053 0.293120i
\(833\) −5.44720 + 4.16509i −0.188734 + 0.144312i
\(834\) −0.441793 0.469693i −0.0152980 0.0162641i
\(835\) −22.5583 + 20.3672i −0.780661 + 0.704835i
\(836\) −6.89896 11.2323i −0.238605 0.388479i
\(837\) 1.67334 0.418016i 0.0578390 0.0144487i
\(838\) 16.2849 11.4303i 0.562552 0.394854i
\(839\) −1.80983 6.66365i −0.0624821 0.230055i 0.926919 0.375261i \(-0.122447\pi\)
−0.989401 + 0.145206i \(0.953616\pi\)
\(840\) −0.0586319 0.0676648i −0.00202299 0.00233466i
\(841\) −12.1993 + 26.3092i −0.420667 + 0.907215i
\(842\) 1.69283 3.70678i 0.0583388 0.127744i
\(843\) 0.436273 + 0.710306i 0.0150261 + 0.0244642i
\(844\) −1.96442 + 4.81179i −0.0676181 + 0.165629i
\(845\) 8.69963 5.10192i 0.299276 0.175511i
\(846\) 0.726112 35.5889i 0.0249643 1.22357i
\(847\) 4.37302 + 6.50870i 0.150259 + 0.223642i
\(848\) 1.77250 17.3172i 0.0608680 0.594676i
\(849\) −0.437284 0.233017i −0.0150075 0.00799712i
\(850\) −0.614193 2.69096i −0.0210667 0.0922990i
\(851\) 46.5905 12.4358i 1.59710 0.426294i
\(852\) 0.0246693 0.108083i 0.000845156 0.00370287i
\(853\) −4.60021 + 5.30892i −0.157508 + 0.181774i −0.829019 0.559221i \(-0.811100\pi\)
0.671511 + 0.740995i \(0.265646\pi\)
\(854\) −0.885476 2.45009i −0.0303004 0.0838404i
\(855\) −17.3508 25.8245i −0.593385 0.883180i
\(856\) −24.8763 20.6822i −0.850253 0.706903i
\(857\) −27.4073 10.5421i −0.936215 0.360110i −0.157523 0.987515i \(-0.550351\pi\)
−0.778693 + 0.627405i \(0.784117\pi\)
\(858\) 0.695627 0.204255i 0.0237483 0.00697314i
\(859\) −29.2718 + 28.6807i −0.998741 + 0.978571i −0.999770 0.0214281i \(-0.993179\pi\)
0.00102977 + 0.999999i \(0.499672\pi\)
\(860\) −4.02727 + 1.00605i −0.137329 + 0.0343061i
\(861\) −0.00898555 + 0.146640i −0.000306227 + 0.00499747i
\(862\) −5.56289 + 7.59134i −0.189473 + 0.258562i
\(863\) 39.6825 1.61994i 1.35081 0.0551435i 0.645346 0.763891i \(-0.276713\pi\)
0.705463 + 0.708747i \(0.250739\pi\)
\(864\) 0.525984 0.0866108i 0.0178944 0.00294656i
\(865\) 3.94096 3.27653i 0.133997 0.111405i
\(866\) 4.13872 + 40.4349i 0.140639 + 1.37403i
\(867\) 0.242769 0.594655i 0.00824486 0.0201956i
\(868\) 0.691522 1.02924i 0.0234718 0.0349348i
\(869\) −22.3132 48.8591i −0.756923 1.65743i
\(870\) −0.347669 0.303021i −0.0117871 0.0102734i
\(871\) 12.0234 7.72699i 0.407399 0.261819i
\(872\) 37.8915 16.3788i 1.28317 0.554655i
\(873\) −2.49247 + 3.12546i −0.0843575 + 0.105781i
\(874\) 4.40634 + 37.1567i 0.149047 + 1.25684i
\(875\) 4.74000 + 2.28266i 0.160241 + 0.0771681i
\(876\) 0.0175634 0.0646673i 0.000593413 0.00218490i
\(877\) 4.47366 43.7073i 0.151065 1.47589i −0.591602 0.806230i \(-0.701504\pi\)
0.742667 0.669661i \(-0.233561\pi\)
\(878\) −29.8041 + 11.4640i −1.00584 + 0.386890i
\(879\) −0.792625 + 0.606064i −0.0267346 + 0.0204420i
\(880\) −23.8271 + 13.9734i −0.803210 + 0.471045i
\(881\) −1.16021 18.9340i −0.0390884 0.637904i −0.965340 0.260997i \(-0.915949\pi\)
0.926251 0.376907i \(-0.123012\pi\)
\(882\) −21.7457 13.9751i −0.732217 0.470567i
\(883\) 26.8737 + 20.5484i 0.904373 + 0.691510i 0.951589 0.307375i \(-0.0994505\pi\)
−0.0472160 + 0.998885i \(0.515035\pi\)
\(884\) 1.04518 0.172104i 0.0351533 0.00578849i
\(885\) −0.455472 0.196880i −0.0153105 0.00661804i
\(886\) −4.48113 + 2.38787i −0.150547 + 0.0802222i
\(887\) −33.7245 9.90241i −1.13236 0.332490i −0.338724 0.940886i \(-0.609995\pi\)
−0.793634 + 0.608395i \(0.791814\pi\)
\(888\) −0.973995 0.744745i −0.0326851 0.0249920i
\(889\) −0.245964 2.40305i −0.00824936 0.0805956i
\(890\) 15.8685 + 28.3692i 0.531914 + 0.950938i
\(891\) −48.2113 + 3.94279i −1.61514 + 0.132088i
\(892\) 0.822212 + 0.205397i 0.0275297 + 0.00687719i
\(893\) 32.2305 + 47.9711i 1.07855 + 1.60529i
\(894\) 0.608510 0.0748556i 0.0203516 0.00250355i
\(895\) −15.7726 0.643879i −0.527221 0.0215225i
\(896\) −1.85906 + 2.33119i −0.0621068 + 0.0778794i
\(897\) 0.504661 + 0.0748080i 0.0168501 + 0.00249777i
\(898\) −40.7014 −1.35822
\(899\) 16.8215 34.6736i 0.561030 1.15643i
\(900\) −2.16999 + 1.39457i −0.0723330 + 0.0464856i
\(901\) 1.73270 5.48460i 0.0577247 0.182718i
\(902\) 55.4400 + 13.8494i 1.84595 + 0.461136i
\(903\) −0.0937882 + 0.0550023i −0.00312108 + 0.00183036i
\(904\) 10.3011 + 1.69623i 0.342611 + 0.0564157i
\(905\) −29.2981 3.60410i −0.973902 0.119804i
\(906\) −0.309027 0.609571i −0.0102667 0.0202516i
\(907\) 1.48173 24.1811i 0.0492001 0.802921i −0.889232 0.457457i \(-0.848760\pi\)
0.938432 0.345464i \(-0.112279\pi\)
\(908\) −3.00316 + 4.09822i −0.0996633 + 0.136004i
\(909\) 0.143374 0.772112i 0.00475542 0.0256093i
\(910\) 1.20142 2.14786i 0.0398268 0.0712010i
\(911\) 13.0095 28.4868i 0.431024 0.943811i −0.562135 0.827045i \(-0.690020\pi\)
0.993159 0.116766i \(-0.0372528\pi\)
\(912\) 0.539006 0.528121i 0.0178483 0.0174878i
\(913\) −5.64769 + 5.09913i −0.186911 + 0.168757i
\(914\) 10.0748 + 31.8903i 0.333246 + 1.05484i
\(915\) −0.312603 + 0.0646704i −0.0103343 + 0.00213794i
\(916\) −1.60658 11.1740i −0.0530827 0.369199i
\(917\) −0.944193 2.61256i −0.0311800 0.0862743i
\(918\) −0.306973 0.0125314i −0.0101316 0.000413598i
\(919\) −12.9590 56.7769i −0.427476 1.87290i −0.484938 0.874548i \(-0.661158\pi\)
0.0574619 0.998348i \(-0.481699\pi\)
\(920\) −24.3893 + 2.38888i −0.804090 + 0.0787591i
\(921\) 0.307095 0.385085i 0.0101191 0.0126890i
\(922\) 4.88688 17.9931i 0.160941 0.592573i
\(923\) 18.2493 2.24493i 0.600683 0.0738928i
\(924\) 0.0256774 0.0272990i 0.000844726 0.000898072i
\(925\) 21.1221 + 5.27651i 0.694491 + 0.173490i
\(926\) 1.21253 1.80470i 0.0398462 0.0593061i
\(927\) 28.4619 8.35718i 0.934813 0.274486i
\(928\) 6.05519 10.2571i 0.198771 0.336704i
\(929\) −19.7306 + 43.2041i −0.647341 + 1.41748i 0.246520 + 0.969138i \(0.420713\pi\)
−0.893862 + 0.448342i \(0.852015\pi\)
\(930\) 0.454901 + 0.410717i 0.0149168 + 0.0134679i
\(931\) 41.9330 1.71181i 1.37430 0.0561024i
\(932\) −0.0211735 + 0.114026i −0.000693561 + 0.00373503i
\(933\) −0.0927198 0.0837139i −0.00303551 0.00274067i
\(934\) 0.290495 + 14.2380i 0.00950530 + 0.465883i
\(935\) −8.64496 + 2.92638i −0.282720 + 0.0957027i
\(936\) 11.7617 + 21.0272i 0.384444 + 0.687296i
\(937\) 42.6551 3.48839i 1.39348 0.113961i 0.638457 0.769658i \(-0.279573\pi\)
0.755024 + 0.655697i \(0.227625\pi\)
\(938\) −1.34757 + 2.65814i −0.0439996 + 0.0867914i
\(939\) −1.22062 0.0998237i −0.0398333 0.00325762i
\(940\) −5.27737 + 3.39156i −0.172129 + 0.110621i
\(941\) 10.1956 + 13.9134i 0.332368 + 0.453563i 0.940260 0.340457i \(-0.110582\pi\)
−0.607892 + 0.794020i \(0.707984\pi\)
\(942\) 0.626315 0.301617i 0.0204064 0.00982722i
\(943\) 31.3291 + 25.2085i 1.02022 + 0.820902i
\(944\) −4.97413 + 21.7931i −0.161894 + 0.709304i
\(945\) 0.115883 0.133736i 0.00376967 0.00435043i
\(946\) 14.3739 + 39.7723i 0.467337 + 1.29311i
\(947\) 22.9599 24.4098i 0.746096 0.793213i −0.237922 0.971284i \(-0.576466\pi\)
0.984018 + 0.178071i \(0.0569857\pi\)
\(948\) −0.126530 + 0.0967483i −0.00410949 + 0.00314224i
\(949\) 11.0768 0.905874i 0.359567 0.0294059i
\(950\) −6.38505 + 15.6400i −0.207158 + 0.507429i
\(951\) 0.865976 + 0.106528i 0.0280812 + 0.00345440i
\(952\) −1.02478 + 0.852010i −0.0332135 + 0.0276138i
\(953\) −0.281737 0.690107i −0.00912635 0.0223547i 0.921189 0.389117i \(-0.127220\pi\)
−0.930315 + 0.366762i \(0.880466\pi\)
\(954\) 21.6644 0.884396i 0.701411 0.0286334i
\(955\) 7.75617 + 28.5577i 0.250984 + 0.924105i
\(956\) 2.92946 + 0.860167i 0.0947455 + 0.0278198i
\(957\) 0.671937 0.951455i 0.0217206 0.0307562i
\(958\) 5.69058 + 3.65711i 0.183854 + 0.118156i
\(959\) 3.89696 + 0.641689i 0.125839 + 0.0207212i
\(960\) 0.412276 + 0.438312i 0.0133061 + 0.0141464i
\(961\) −9.14043 + 18.0299i −0.294853 + 0.581611i
\(962\) 10.1527 32.1367i 0.327335 1.03613i
\(963\) 16.7275 27.2345i 0.539037 0.877618i
\(964\) −0.914507 4.92490i −0.0294543 0.158620i
\(965\) 9.87880 + 43.2818i 0.318010 + 1.39329i
\(966\) −0.0986641 + 0.0397784i −0.00317447 + 0.00127985i
\(967\) 12.6180 + 15.8225i 0.405768 + 0.508817i 0.942165 0.335149i \(-0.108787\pi\)
−0.536397 + 0.843966i \(0.680215\pi\)
\(968\) −32.2557 44.0174i −1.03674 1.41477i
\(969\) 0.209755 0.134801i 0.00673830 0.00433044i
\(970\) −2.83236 0.231634i −0.0909416 0.00743733i
\(971\) −31.5378 26.2206i −1.01210 0.841461i −0.0246948 0.999695i \(-0.507861\pi\)
−0.987402 + 0.158234i \(0.949420\pi\)
\(972\) 0.129751 + 0.410705i 0.00416176 + 0.0131734i
\(973\) −0.338124 5.51801i −0.0108398 0.176899i
\(974\) 36.6715 + 23.5673i 1.17503 + 0.755145i
\(975\) 0.182975 + 0.139908i 0.00585990 + 0.00448065i
\(976\) 5.43543 + 13.3139i 0.173984 + 0.426169i
\(977\) −30.9791 + 42.2752i −0.991108 + 1.35250i −0.0558888 + 0.998437i \(0.517799\pi\)
−0.935220 + 0.354068i \(0.884798\pi\)
\(978\) −0.0868584 + 0.118530i −0.00277743 + 0.00379018i
\(979\) −67.1974 + 47.1657i −2.14764 + 1.50742i
\(980\) 0.0929249 + 4.55452i 0.00296838 + 0.145489i
\(981\) 21.3444 + 34.7513i 0.681474 + 1.10952i
\(982\) −37.4903 26.3143i −1.19636 0.839724i
\(983\) 30.5818 + 32.5131i 0.975407 + 1.03701i 0.999304 + 0.0372916i \(0.0118731\pi\)
−0.0238973 + 0.999714i \(0.507607\pi\)
\(984\) 0.0208562 1.02222i 0.000664871 0.0325873i
\(985\) −5.79207 40.2847i −0.184551 1.28358i
\(986\) −4.61509 + 5.08197i −0.146975 + 0.161843i
\(987\) −0.107602 + 0.124179i −0.00342500 + 0.00395266i
\(988\) −5.84101 2.81288i −0.185827 0.0894897i
\(989\) −2.55505 + 29.6494i −0.0812457 + 0.942797i
\(990\) −21.4514 26.8991i −0.681769 0.854911i
\(991\) 52.9364 22.8820i 1.68158 0.726870i 0.681591 0.731733i \(-0.261288\pi\)
0.999988 + 0.00486359i \(0.00154814\pi\)
\(992\) −8.28426 + 13.4878i −0.263026 + 0.428238i
\(993\) 0.774524 + 0.454222i 0.0245788 + 0.0144143i
\(994\) −3.04568 + 2.32882i −0.0966032 + 0.0738657i
\(995\) 43.2053 3.53339i 1.36970 0.112016i
\(996\) 0.0184684 + 0.0129630i 0.000585195 + 0.000410747i
\(997\) −6.03902 + 5.91707i −0.191258 + 0.187395i −0.789186 0.614154i \(-0.789497\pi\)
0.597928 + 0.801550i \(0.295991\pi\)
\(998\) −5.45764 + 11.9506i −0.172759 + 0.378289i
\(999\) 1.18300 2.11493i 0.0374286 0.0669136i
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 667.2.s.a.16.20 3480
23.13 even 11 inner 667.2.s.a.335.20 yes 3480
29.20 even 7 inner 667.2.s.a.223.20 yes 3480
667.542 even 77 inner 667.2.s.a.542.20 yes 3480
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
667.2.s.a.16.20 3480 1.1 even 1 trivial
667.2.s.a.223.20 yes 3480 29.20 even 7 inner
667.2.s.a.335.20 yes 3480 23.13 even 11 inner
667.2.s.a.542.20 yes 3480 667.542 even 77 inner