Properties

Label 242.2.g.a.15.2
Level $242$
Weight $2$
Character 242.15
Analytic conductor $1.932$
Analytic rank $0$
Dimension $200$
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: \(200\)
Relative dimension: \(5\) over \(\Q(\zeta_{55})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{55}]$

Embedding invariants

Embedding label 15.2
Character \(\chi\) \(=\) 242.15
Dual form 242.2.g.a.113.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.0855750 - 0.996332i) q^{2} +(-0.287239 + 0.884029i) q^{3} +(-0.985354 + 0.170522i) q^{4} +(1.80964 - 0.103479i) q^{5} +(0.905367 + 0.210534i) q^{6} +(-2.83890 - 4.15177i) q^{7} +(0.254218 + 0.967147i) q^{8} +(1.72805 + 1.25550i) q^{9} +O(q^{10})\) \(q+(-0.0855750 - 0.996332i) q^{2} +(-0.287239 + 0.884029i) q^{3} +(-0.985354 + 0.170522i) q^{4} +(1.80964 - 0.103479i) q^{5} +(0.905367 + 0.210534i) q^{6} +(-2.83890 - 4.15177i) q^{7} +(0.254218 + 0.967147i) q^{8} +(1.72805 + 1.25550i) q^{9} +(-0.257959 - 1.79415i) q^{10} +(3.24976 - 0.662625i) q^{11} +(0.132285 - 0.920062i) q^{12} +(4.05093 - 4.16831i) q^{13} +(-3.89360 + 3.18378i) q^{14} +(-0.428320 + 1.62950i) q^{15} +(0.941844 - 0.336049i) q^{16} +(-0.459964 - 0.259754i) q^{17} +(1.10302 - 1.82915i) q^{18} +(2.83640 + 2.60322i) q^{19} +(-1.76549 + 0.410547i) q^{20} +(4.48573 - 1.31713i) q^{21} +(-0.938292 - 3.18113i) q^{22} +(-4.61864 - 1.35616i) q^{23} +(-0.928008 - 0.0530654i) q^{24} +(-1.70332 + 0.195438i) q^{25} +(-4.49967 - 3.67936i) q^{26} +(-3.86226 + 2.80610i) q^{27} +(3.50529 + 3.60686i) q^{28} +(3.97584 + 0.456186i) q^{29} +(1.66017 + 0.287304i) q^{30} +(0.568180 - 1.07682i) q^{31} +(-0.415415 - 0.909632i) q^{32} +(-0.347676 + 3.06321i) q^{33} +(-0.219439 + 0.480505i) q^{34} +(-5.56702 - 7.21943i) q^{35} +(-1.91683 - 0.942442i) q^{36} +(-3.87053 + 1.90301i) q^{37} +(2.35095 - 3.04877i) q^{38} +(2.52132 + 4.77844i) q^{39} +(0.560123 + 1.72388i) q^{40} +(-2.98098 + 1.25977i) q^{41} +(-1.69616 - 4.35656i) q^{42} +(-7.03602 + 4.52178i) q^{43} +(-3.08917 + 1.20708i) q^{44} +(3.25706 + 2.09319i) q^{45} +(-0.955941 + 4.71775i) q^{46} +(-0.836022 - 1.38639i) q^{47} +(0.0265435 + 0.929144i) q^{48} +(-6.63812 + 17.0499i) q^{49} +(0.340482 + 1.68035i) q^{50} +(0.361749 - 0.332010i) q^{51} +(-3.28081 + 4.79803i) q^{52} +(8.15578 + 2.90998i) q^{53} +(3.12632 + 3.60796i) q^{54} +(5.81233 - 1.53539i) q^{55} +(3.29367 - 3.80109i) q^{56} +(-3.11605 + 1.75971i) q^{57} +(0.114279 - 4.00030i) q^{58} +(8.50646 + 3.59486i) q^{59} +(0.144181 - 1.67867i) q^{60} +(-0.0888314 + 1.03425i) q^{61} +(-1.12149 - 0.473946i) q^{62} +(0.306780 - 10.7387i) q^{63} +(-0.870746 + 0.491733i) q^{64} +(6.89939 - 7.96232i) q^{65} +(3.08173 + 0.0842662i) q^{66} +(0.181634 + 0.209617i) q^{67} +(0.497521 + 0.177515i) q^{68} +(2.52553 - 3.69348i) q^{69} +(-6.71655 + 6.16440i) q^{70} +(0.665199 + 3.28289i) q^{71} +(-0.774952 + 1.99045i) q^{72} +(0.415022 + 14.5277i) q^{73} +(2.22725 + 3.69348i) q^{74} +(0.316486 - 1.56192i) q^{75} +(-3.23876 - 2.08143i) q^{76} +(-11.9768 - 11.6111i) q^{77} +(4.54515 - 2.92099i) q^{78} +(-2.64519 - 6.79411i) q^{79} +(1.66963 - 0.705590i) q^{80} +(0.608885 + 1.87396i) q^{81} +(1.51025 + 2.86224i) q^{82} +(6.22006 - 8.06632i) q^{83} +(-4.19543 + 2.06275i) q^{84} +(-0.859248 - 0.422464i) q^{85} +(5.10730 + 6.62326i) q^{86} +(-1.54530 + 3.38373i) q^{87} +(1.46700 + 2.97454i) q^{88} +(-4.28407 - 9.38081i) q^{89} +(1.80679 - 3.42424i) q^{90} +(-28.8060 - 4.98508i) q^{91} +(4.78225 + 0.548712i) q^{92} +(0.788737 + 0.811592i) q^{93} +(-1.30976 + 0.951596i) q^{94} +(5.40224 + 4.41739i) q^{95} +(0.923465 - 0.105958i) q^{96} +(8.26657 + 0.472700i) q^{97} +(17.5554 + 5.15473i) q^{98} +(6.44767 + 2.93503i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 200 q - 5 q^{2} + 10 q^{3} + 5 q^{4} - q^{5} + q^{6} - 5 q^{8} - 40 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 200 q - 5 q^{2} + 10 q^{3} + 5 q^{4} - q^{5} + q^{6} - 5 q^{8} - 40 q^{9} - 4 q^{10} - 11 q^{11} + 4 q^{12} - 32 q^{13} - 11 q^{14} - 24 q^{15} + 5 q^{16} + 2 q^{17} - 4 q^{18} + q^{19} - q^{20} - 8 q^{21} - 22 q^{22} + 41 q^{23} + q^{24} + 2 q^{25} - q^{26} - 59 q^{27} + 3 q^{29} + 13 q^{30} + 18 q^{31} + 20 q^{32} + 8 q^{34} + 4 q^{35} + 4 q^{36} + 17 q^{37} - 34 q^{38} - 172 q^{39} - 10 q^{40} + 6 q^{41} + 42 q^{42} - 20 q^{43} + 11 q^{44} + 64 q^{45} - 9 q^{46} + 7 q^{47} - q^{48} - 43 q^{49} - 2 q^{50} - 135 q^{51} + q^{52} - 80 q^{53} - 16 q^{54} - 22 q^{55} + 11 q^{56} + 41 q^{57} - 157 q^{58} + 30 q^{59} + 31 q^{60} + 40 q^{61} + 4 q^{62} - 45 q^{63} + 5 q^{64} - 7 q^{65} + 55 q^{66} - 19 q^{67} + 2 q^{68} - 8 q^{69} - 70 q^{70} + 5 q^{71} - 4 q^{72} + 34 q^{73} + 5 q^{74} - 11 q^{75} - 15 q^{76} - 198 q^{77} + 16 q^{78} - 47 q^{79} - q^{80} - 18 q^{81} - 28 q^{82} + 9 q^{83} - 174 q^{84} - 100 q^{85} - 5 q^{86} + 37 q^{87} - 11 q^{88} - 67 q^{89} - 28 q^{90} - 166 q^{91} - 46 q^{92} - 47 q^{93} - 18 q^{94} + 129 q^{95} + q^{96} - 3 q^{97} - 40 q^{98} + 22 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(123\)
\(\chi(n)\) \(e\left(\frac{26}{55}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0855750 0.996332i −0.0605107 0.704513i
\(3\) −0.287239 + 0.884029i −0.165837 + 0.510395i −0.999097 0.0424871i \(-0.986472\pi\)
0.833260 + 0.552882i \(0.186472\pi\)
\(4\) −0.985354 + 0.170522i −0.492677 + 0.0852611i
\(5\) 1.80964 0.103479i 0.809296 0.0462772i 0.352458 0.935827i \(-0.385346\pi\)
0.456837 + 0.889550i \(0.348982\pi\)
\(6\) 0.905367 + 0.210534i 0.369615 + 0.0859502i
\(7\) −2.83890 4.15177i −1.07301 1.56922i −0.793000 0.609221i \(-0.791482\pi\)
−0.280005 0.959999i \(-0.590336\pi\)
\(8\) 0.254218 + 0.967147i 0.0898798 + 0.341938i
\(9\) 1.72805 + 1.25550i 0.576016 + 0.418500i
\(10\) −0.257959 1.79415i −0.0815739 0.567359i
\(11\) 3.24976 0.662625i 0.979839 0.199789i
\(12\) 0.132285 0.920062i 0.0381874 0.265599i
\(13\) 4.05093 4.16831i 1.12353 1.15608i 0.137324 0.990526i \(-0.456150\pi\)
0.986201 0.165554i \(-0.0529412\pi\)
\(14\) −3.89360 + 3.18378i −1.04061 + 0.850900i
\(15\) −0.428320 + 1.62950i −0.110592 + 0.420735i
\(16\) 0.941844 0.336049i 0.235461 0.0840123i
\(17\) −0.459964 0.259754i −0.111558 0.0629995i 0.434944 0.900457i \(-0.356768\pi\)
−0.546502 + 0.837458i \(0.684041\pi\)
\(18\) 1.10302 1.82915i 0.259984 0.431135i
\(19\) 2.83640 + 2.60322i 0.650715 + 0.597220i 0.932024 0.362397i \(-0.118041\pi\)
−0.281309 + 0.959617i \(0.590769\pi\)
\(20\) −1.76549 + 0.410547i −0.394776 + 0.0918011i
\(21\) 4.48573 1.31713i 0.978866 0.287421i
\(22\) −0.938292 3.18113i −0.200045 0.678220i
\(23\) −4.61864 1.35616i −0.963054 0.282778i −0.237842 0.971304i \(-0.576440\pi\)
−0.725212 + 0.688526i \(0.758258\pi\)
\(24\) −0.928008 0.0530654i −0.189429 0.0108319i
\(25\) −1.70332 + 0.195438i −0.340664 + 0.0390875i
\(26\) −4.49967 3.67936i −0.882459 0.721583i
\(27\) −3.86226 + 2.80610i −0.743293 + 0.540034i
\(28\) 3.50529 + 3.60686i 0.662438 + 0.681633i
\(29\) 3.97584 + 0.456186i 0.738296 + 0.0847115i 0.474978 0.879998i \(-0.342456\pi\)
0.263318 + 0.964709i \(0.415183\pi\)
\(30\) 1.66017 + 0.287304i 0.303105 + 0.0524544i
\(31\) 0.568180 1.07682i 0.102048 0.193403i −0.828106 0.560571i \(-0.810582\pi\)
0.930155 + 0.367168i \(0.119673\pi\)
\(32\) −0.415415 0.909632i −0.0734357 0.160802i
\(33\) −0.347676 + 3.06321i −0.0605226 + 0.533237i
\(34\) −0.219439 + 0.480505i −0.0376335 + 0.0824059i
\(35\) −5.56702 7.21943i −0.940997 1.22031i
\(36\) −1.91683 0.942442i −0.319472 0.157074i
\(37\) −3.87053 + 1.90301i −0.636312 + 0.312853i −0.730717 0.682680i \(-0.760814\pi\)
0.0944054 + 0.995534i \(0.469905\pi\)
\(38\) 2.35095 3.04877i 0.381374 0.494575i
\(39\) 2.52132 + 4.77844i 0.403735 + 0.765162i
\(40\) 0.560123 + 1.72388i 0.0885632 + 0.272570i
\(41\) −2.98098 + 1.25977i −0.465551 + 0.196743i −0.609411 0.792855i \(-0.708594\pi\)
0.143860 + 0.989598i \(0.454049\pi\)
\(42\) −1.69616 4.35656i −0.261724 0.672231i
\(43\) −7.03602 + 4.52178i −1.07298 + 0.689564i −0.952926 0.303203i \(-0.901944\pi\)
−0.120057 + 0.992767i \(0.538308\pi\)
\(44\) −3.08917 + 1.20708i −0.465710 + 0.181974i
\(45\) 3.25706 + 2.09319i 0.485535 + 0.312034i
\(46\) −0.955941 + 4.71775i −0.140946 + 0.695595i
\(47\) −0.836022 1.38639i −0.121946 0.202225i 0.789385 0.613898i \(-0.210399\pi\)
−0.911332 + 0.411672i \(0.864945\pi\)
\(48\) 0.0265435 + 0.929144i 0.00383123 + 0.134110i
\(49\) −6.63812 + 17.0499i −0.948303 + 2.43570i
\(50\) 0.340482 + 1.68035i 0.0481515 + 0.237637i
\(51\) 0.361749 0.332010i 0.0506550 0.0464908i
\(52\) −3.28081 + 4.79803i −0.454966 + 0.665367i
\(53\) 8.15578 + 2.90998i 1.12028 + 0.399716i 0.830300 0.557316i \(-0.188169\pi\)
0.289982 + 0.957032i \(0.406351\pi\)
\(54\) 3.12632 + 3.60796i 0.425438 + 0.490982i
\(55\) 5.81233 1.53539i 0.783734 0.207032i
\(56\) 3.29367 3.80109i 0.440135 0.507942i
\(57\) −3.11605 + 1.75971i −0.412731 + 0.233080i
\(58\) 0.114279 4.00030i 0.0150056 0.525265i
\(59\) 8.50646 + 3.59486i 1.10745 + 0.468011i 0.864806 0.502106i \(-0.167441\pi\)
0.242640 + 0.970116i \(0.421987\pi\)
\(60\) 0.144181 1.67867i 0.0186137 0.216715i
\(61\) −0.0888314 + 1.03425i −0.0113737 + 0.132422i −0.999816 0.0191751i \(-0.993896\pi\)
0.988442 + 0.151597i \(0.0484415\pi\)
\(62\) −1.12149 0.473946i −0.142430 0.0601913i
\(63\) 0.306780 10.7387i 0.0386506 1.35295i
\(64\) −0.870746 + 0.491733i −0.108843 + 0.0614666i
\(65\) 6.89939 7.96232i 0.855764 0.987604i
\(66\) 3.08173 + 0.0842662i 0.379335 + 0.0103725i
\(67\) 0.181634 + 0.209617i 0.0221902 + 0.0256088i 0.766736 0.641962i \(-0.221879\pi\)
−0.744546 + 0.667571i \(0.767334\pi\)
\(68\) 0.497521 + 0.177515i 0.0603333 + 0.0215269i
\(69\) 2.52553 3.69348i 0.304039 0.444642i
\(70\) −6.71655 + 6.16440i −0.802782 + 0.736786i
\(71\) 0.665199 + 3.28289i 0.0789446 + 0.389607i 1.00000 0.000175274i \(5.57915e-5\pi\)
−0.921055 + 0.389432i \(0.872671\pi\)
\(72\) −0.774952 + 1.99045i −0.0913290 + 0.234577i
\(73\) 0.415022 + 14.5277i 0.0485747 + 1.70034i 0.550024 + 0.835149i \(0.314618\pi\)
−0.501450 + 0.865187i \(0.667200\pi\)
\(74\) 2.22725 + 3.69348i 0.258913 + 0.429359i
\(75\) 0.316486 1.56192i 0.0365447 0.180355i
\(76\) −3.23876 2.08143i −0.371512 0.238756i
\(77\) −11.9768 11.6111i −1.36488 1.32321i
\(78\) 4.54515 2.92099i 0.514637 0.330737i
\(79\) −2.64519 6.79411i −0.297607 0.764398i −0.998683 0.0513107i \(-0.983660\pi\)
0.701076 0.713087i \(-0.252704\pi\)
\(80\) 1.66963 0.705590i 0.186670 0.0788873i
\(81\) 0.608885 + 1.87396i 0.0676539 + 0.208217i
\(82\) 1.51025 + 2.86224i 0.166779 + 0.316082i
\(83\) 6.22006 8.06632i 0.682740 0.885393i −0.315234 0.949014i \(-0.602083\pi\)
0.997974 + 0.0636206i \(0.0202647\pi\)
\(84\) −4.19543 + 2.06275i −0.457759 + 0.225065i
\(85\) −0.859248 0.422464i −0.0931986 0.0458226i
\(86\) 5.10730 + 6.62326i 0.550734 + 0.714204i
\(87\) −1.54530 + 3.38373i −0.165673 + 0.362774i
\(88\) 1.46700 + 2.97454i 0.156383 + 0.317087i
\(89\) −4.28407 9.38081i −0.454111 0.994364i −0.988791 0.149309i \(-0.952295\pi\)
0.534680 0.845055i \(-0.320432\pi\)
\(90\) 1.80679 3.42424i 0.190452 0.360947i
\(91\) −28.8060 4.98508i −3.01969 0.522578i
\(92\) 4.78225 + 0.548712i 0.498584 + 0.0572072i
\(93\) 0.788737 + 0.811592i 0.0817883 + 0.0841581i
\(94\) −1.30976 + 0.951596i −0.135091 + 0.0981496i
\(95\) 5.40224 + 4.41739i 0.554258 + 0.453215i
\(96\) 0.923465 0.105958i 0.0942507 0.0108143i
\(97\) 8.26657 + 0.472700i 0.839343 + 0.0479954i 0.471472 0.881881i \(-0.343723\pi\)
0.367872 + 0.929877i \(0.380087\pi\)
\(98\) 17.5554 + 5.15473i 1.77336 + 0.520706i
\(99\) 6.44767 + 2.93503i 0.648015 + 0.294981i
\(100\) 1.64505 0.483029i 0.164505 0.0483029i
\(101\) −15.4918 + 3.60246i −1.54149 + 0.358458i −0.909229 0.416296i \(-0.863328\pi\)
−0.632262 + 0.774754i \(0.717873\pi\)
\(102\) −0.361749 0.332010i −0.0358185 0.0328739i
\(103\) −8.26465 + 13.7054i −0.814340 + 1.35043i 0.119534 + 0.992830i \(0.461860\pi\)
−0.933874 + 0.357601i \(0.883595\pi\)
\(104\) 5.06118 + 2.85818i 0.496290 + 0.280268i
\(105\) 7.98125 2.84771i 0.778891 0.277908i
\(106\) 2.20137 8.37488i 0.213816 0.813440i
\(107\) −6.84331 + 5.59575i −0.661568 + 0.540961i −0.903099 0.429432i \(-0.858714\pi\)
0.241532 + 0.970393i \(0.422350\pi\)
\(108\) 3.32719 3.42360i 0.320159 0.329436i
\(109\) 0.596895 4.15150i 0.0571722 0.397641i −0.941062 0.338235i \(-0.890170\pi\)
0.998234 0.0594064i \(-0.0189208\pi\)
\(110\) −2.02715 5.65961i −0.193281 0.539623i
\(111\) −0.570553 3.96828i −0.0541545 0.376653i
\(112\) −4.06900 2.95630i −0.384485 0.279345i
\(113\) −2.62244 9.97681i −0.246699 0.938539i −0.969020 0.246982i \(-0.920561\pi\)
0.722321 0.691557i \(-0.243075\pi\)
\(114\) 2.01992 + 2.95403i 0.189182 + 0.276670i
\(115\) −8.49842 1.97622i −0.792481 0.184284i
\(116\) −3.99540 + 0.228465i −0.370964 + 0.0212125i
\(117\) 12.2335 2.11709i 1.13099 0.195725i
\(118\) 2.85373 8.78288i 0.262707 0.808530i
\(119\) 0.227358 + 2.64708i 0.0208418 + 0.242657i
\(120\) −1.68485 −0.153805
\(121\) 10.1219 4.30674i 0.920169 0.391522i
\(122\) 1.03805 0.0939809
\(123\) −0.257424 2.99713i −0.0232111 0.270242i
\(124\) −0.376236 + 1.15794i −0.0337870 + 0.103986i
\(125\) −11.9924 + 2.07537i −1.07263 + 0.185627i
\(126\) −10.7256 + 0.613310i −0.955509 + 0.0546380i
\(127\) −4.20638 0.978152i −0.373256 0.0867969i 0.0356723 0.999364i \(-0.488643\pi\)
−0.408928 + 0.912567i \(0.634097\pi\)
\(128\) 0.564443 + 0.825472i 0.0498902 + 0.0729621i
\(129\) −1.97637 7.51888i −0.174009 0.662000i
\(130\) −8.52353 6.19270i −0.747563 0.543136i
\(131\) −1.56180 10.8626i −0.136455 0.949068i −0.936884 0.349640i \(-0.886304\pi\)
0.800429 0.599428i \(-0.204605\pi\)
\(132\) −0.179762 3.07764i −0.0156463 0.267874i
\(133\) 2.75571 19.1664i 0.238950 1.66193i
\(134\) 0.193305 0.198906i 0.0166990 0.0171829i
\(135\) −6.69893 + 5.47769i −0.576552 + 0.471445i
\(136\) 0.134289 0.510887i 0.0115152 0.0438082i
\(137\) 13.8811 4.95278i 1.18594 0.423144i 0.331885 0.943320i \(-0.392315\pi\)
0.854059 + 0.520176i \(0.174134\pi\)
\(138\) −3.89605 2.20020i −0.331654 0.187294i
\(139\) −3.08617 + 5.11783i −0.261765 + 0.434089i −0.959270 0.282491i \(-0.908839\pi\)
0.697505 + 0.716580i \(0.254294\pi\)
\(140\) 6.71655 + 6.16440i 0.567652 + 0.520987i
\(141\) 1.46574 0.340844i 0.123438 0.0287043i
\(142\) 3.21392 0.943692i 0.269706 0.0791928i
\(143\) 10.4025 16.2302i 0.869902 1.35724i
\(144\) 2.04946 + 0.601777i 0.170789 + 0.0501481i
\(145\) 7.24205 + 0.414116i 0.601420 + 0.0343904i
\(146\) 14.4389 1.65671i 1.19497 0.137110i
\(147\) −13.1659 10.7657i −1.08590 0.887938i
\(148\) 3.48934 2.53515i 0.286822 0.208388i
\(149\) −6.83741 7.03553i −0.560143 0.576373i 0.376607 0.926373i \(-0.377091\pi\)
−0.936750 + 0.350000i \(0.886182\pi\)
\(150\) −1.58328 0.181664i −0.129274 0.0148328i
\(151\) 21.8990 + 3.78977i 1.78212 + 0.308407i 0.963853 0.266436i \(-0.0858459\pi\)
0.818264 + 0.574843i \(0.194937\pi\)
\(152\) −1.79663 + 3.40500i −0.145726 + 0.276182i
\(153\) −0.468719 1.02635i −0.0378937 0.0829757i
\(154\) −10.5436 + 12.9265i −0.849627 + 1.04165i
\(155\) 0.916772 2.00745i 0.0736369 0.161242i
\(156\) −3.29922 4.27851i −0.264149 0.342555i
\(157\) 14.0775 + 6.92144i 1.12351 + 0.552391i 0.905835 0.423631i \(-0.139245\pi\)
0.217672 + 0.976022i \(0.430154\pi\)
\(158\) −6.54283 + 3.21689i −0.520520 + 0.255922i
\(159\) −4.91516 + 6.37409i −0.389797 + 0.505498i
\(160\) −0.845879 1.60312i −0.0668726 0.126738i
\(161\) 7.48144 + 23.0255i 0.589620 + 1.81467i
\(162\) 1.81498 0.767016i 0.142598 0.0602624i
\(163\) 2.11941 + 5.44367i 0.166005 + 0.426381i 0.990152 0.139995i \(-0.0447086\pi\)
−0.824147 + 0.566376i \(0.808345\pi\)
\(164\) 2.72250 1.74965i 0.212592 0.136624i
\(165\) −0.312190 + 5.57929i −0.0243040 + 0.434347i
\(166\) −8.56901 5.50697i −0.665084 0.427424i
\(167\) −2.85955 + 14.1125i −0.221279 + 1.09205i 0.703250 + 0.710943i \(0.251732\pi\)
−0.924529 + 0.381112i \(0.875541\pi\)
\(168\) 2.41421 + 4.00352i 0.186260 + 0.308878i
\(169\) −0.593531 20.7763i −0.0456563 1.59818i
\(170\) −0.347384 + 0.892249i −0.0266431 + 0.0684324i
\(171\) 1.63309 + 8.05960i 0.124885 + 0.616333i
\(172\) 6.16191 5.65535i 0.469841 0.431216i
\(173\) 5.36860 7.85133i 0.408167 0.596926i −0.565542 0.824719i \(-0.691333\pi\)
0.973709 + 0.227794i \(0.0731512\pi\)
\(174\) 3.50356 + 1.25007i 0.265604 + 0.0947673i
\(175\) 5.64697 + 6.51695i 0.426871 + 0.492635i
\(176\) 2.83809 1.71617i 0.213929 0.129361i
\(177\) −5.62134 + 6.48738i −0.422526 + 0.487621i
\(178\) −8.97979 + 5.07112i −0.673063 + 0.380096i
\(179\) −0.626779 + 21.9401i −0.0468476 + 1.63988i 0.548312 + 0.836274i \(0.315271\pi\)
−0.595160 + 0.803607i \(0.702911\pi\)
\(180\) −3.56630 1.50713i −0.265816 0.112335i
\(181\) −0.556999 + 6.48502i −0.0414014 + 0.482027i 0.946041 + 0.324047i \(0.105044\pi\)
−0.987442 + 0.157980i \(0.949502\pi\)
\(182\) −2.50172 + 29.1270i −0.185440 + 2.15903i
\(183\) −0.888787 0.375605i −0.0657010 0.0277655i
\(184\) 0.137458 4.81167i 0.0101336 0.354721i
\(185\) −6.80735 + 3.84429i −0.500486 + 0.282638i
\(186\) 0.741118 0.855296i 0.0543414 0.0627134i
\(187\) −1.66689 0.539353i −0.121895 0.0394414i
\(188\) 1.06019 + 1.22352i 0.0773221 + 0.0892345i
\(189\) 22.6149 + 8.06897i 1.64499 + 0.586931i
\(190\) 3.93889 5.76044i 0.285757 0.417906i
\(191\) 11.7198 10.7563i 0.848013 0.778300i −0.128962 0.991649i \(-0.541165\pi\)
0.976976 + 0.213350i \(0.0684374\pi\)
\(192\) −0.184595 0.911010i −0.0133220 0.0657465i
\(193\) −7.81030 + 20.0606i −0.562198 + 1.44399i 0.308046 + 0.951372i \(0.400325\pi\)
−0.870244 + 0.492622i \(0.836039\pi\)
\(194\) −0.236446 8.27670i −0.0169759 0.594232i
\(195\) 5.05715 + 8.38635i 0.362150 + 0.600559i
\(196\) 3.63352 17.9321i 0.259537 1.28087i
\(197\) −8.03377 5.16299i −0.572382 0.367848i 0.222203 0.975000i \(-0.428675\pi\)
−0.794585 + 0.607153i \(0.792312\pi\)
\(198\) 2.37250 6.67518i 0.168606 0.474384i
\(199\) −20.3736 + 13.0933i −1.44424 + 0.928160i −0.444773 + 0.895643i \(0.646716\pi\)
−0.999471 + 0.0325164i \(0.989648\pi\)
\(200\) −0.622032 1.59768i −0.0439843 0.112973i
\(201\) −0.237480 + 0.100360i −0.0167506 + 0.00707885i
\(202\) 4.91496 + 15.1267i 0.345815 + 1.06431i
\(203\) −9.39306 17.8018i −0.659264 1.24944i
\(204\) −0.299836 + 0.388834i −0.0209927 + 0.0272238i
\(205\) −5.26414 + 2.58820i −0.367664 + 0.180768i
\(206\) 14.3624 + 7.06150i 1.00067 + 0.491998i
\(207\) −6.27859 8.14221i −0.436392 0.565923i
\(208\) 2.41459 5.28721i 0.167421 0.366602i
\(209\) 10.9426 + 6.58038i 0.756914 + 0.455174i
\(210\) −3.52026 7.70828i −0.242921 0.531922i
\(211\) 12.3391 23.3851i 0.849457 1.60990i 0.0582900 0.998300i \(-0.481435\pi\)
0.791167 0.611600i \(-0.209474\pi\)
\(212\) −8.53254 1.47661i −0.586017 0.101414i
\(213\) −3.09324 0.354916i −0.211945 0.0243184i
\(214\) 6.16084 + 6.33935i 0.421146 + 0.433349i
\(215\) −12.2648 + 8.91087i −0.836449 + 0.607716i
\(216\) −3.69577 3.02201i −0.251465 0.205622i
\(217\) −6.08371 + 0.698041i −0.412989 + 0.0473861i
\(218\) −4.18735 0.239441i −0.283603 0.0162170i
\(219\) −12.9621 3.80602i −0.875898 0.257187i
\(220\) −5.46538 + 2.50404i −0.368476 + 0.168822i
\(221\) −2.94601 + 0.865028i −0.198170 + 0.0581880i
\(222\) −3.90490 + 0.908046i −0.262080 + 0.0609441i
\(223\) −3.81397 3.50043i −0.255403 0.234406i 0.538239 0.842793i \(-0.319090\pi\)
−0.793641 + 0.608386i \(0.791817\pi\)
\(224\) −2.59726 + 4.30706i −0.173536 + 0.287778i
\(225\) −3.18879 1.80079i −0.212586 0.120053i
\(226\) −9.71580 + 3.46659i −0.646285 + 0.230594i
\(227\) 0.306105 1.16454i 0.0203169 0.0772935i −0.956216 0.292662i \(-0.905459\pi\)
0.976533 + 0.215369i \(0.0690953\pi\)
\(228\) 2.77034 2.26530i 0.183470 0.150023i
\(229\) −8.21754 + 8.45565i −0.543030 + 0.558765i −0.931987 0.362491i \(-0.881926\pi\)
0.388957 + 0.921256i \(0.372835\pi\)
\(230\) −1.24172 + 8.63636i −0.0818766 + 0.569464i
\(231\) 13.7048 7.25270i 0.901707 0.477193i
\(232\) 0.569534 + 3.96120i 0.0373917 + 0.260065i
\(233\) 2.04237 + 1.48387i 0.133800 + 0.0972115i 0.652672 0.757640i \(-0.273648\pi\)
−0.518872 + 0.854852i \(0.673648\pi\)
\(234\) −3.15621 12.0075i −0.206328 0.784953i
\(235\) −1.65636 2.42235i −0.108049 0.158017i
\(236\) −8.99488 2.09167i −0.585516 0.136156i
\(237\) 6.76600 0.386894i 0.439499 0.0251315i
\(238\) 2.61791 0.453047i 0.169694 0.0293667i
\(239\) 2.46617 7.59010i 0.159524 0.490963i −0.839068 0.544027i \(-0.816899\pi\)
0.998591 + 0.0530642i \(0.0168988\pi\)
\(240\) 0.144181 + 1.67867i 0.00930685 + 0.108358i
\(241\) −7.89302 −0.508434 −0.254217 0.967147i \(-0.581818\pi\)
−0.254217 + 0.967147i \(0.581818\pi\)
\(242\) −5.15712 9.71618i −0.331512 0.624580i
\(243\) −16.1536 −1.03625
\(244\) −0.0888314 1.03425i −0.00568685 0.0662108i
\(245\) −10.2483 + 31.5411i −0.654741 + 2.01508i
\(246\) −2.96411 + 0.512959i −0.188984 + 0.0327051i
\(247\) 22.3411 1.27751i 1.42153 0.0812860i
\(248\) 1.18588 + 0.275766i 0.0753038 + 0.0175111i
\(249\) 5.34422 + 7.81567i 0.338676 + 0.495298i
\(250\) 3.09401 + 11.7708i 0.195682 + 0.744452i
\(251\) 19.4350 + 14.1204i 1.22673 + 0.891270i 0.996641 0.0819002i \(-0.0260989\pi\)
0.230087 + 0.973170i \(0.426099\pi\)
\(252\) 1.52890 + 10.6337i 0.0963117 + 0.669862i
\(253\) −15.9081 1.34675i −1.00013 0.0846695i
\(254\) −0.614603 + 4.27465i −0.0385636 + 0.268216i
\(255\) 0.620280 0.638253i 0.0388434 0.0399689i
\(256\) 0.774142 0.633012i 0.0483839 0.0395633i
\(257\) 4.00661 15.2427i 0.249925 0.950815i −0.717273 0.696792i \(-0.754610\pi\)
0.967198 0.254023i \(-0.0817537\pi\)
\(258\) −7.32217 + 2.61254i −0.455858 + 0.162650i
\(259\) 18.8889 + 10.6671i 1.17370 + 0.662820i
\(260\) −5.44059 + 9.02220i −0.337411 + 0.559533i
\(261\) 6.29771 + 5.77999i 0.389819 + 0.357772i
\(262\) −10.6891 + 2.48564i −0.660374 + 0.153563i
\(263\) 26.9792 7.92180i 1.66361 0.488479i 0.691374 0.722497i \(-0.257006\pi\)
0.972232 + 0.234018i \(0.0751874\pi\)
\(264\) −3.05096 + 0.442471i −0.187774 + 0.0272322i
\(265\) 15.0601 + 4.42206i 0.925137 + 0.271645i
\(266\) −19.3319 1.10544i −1.18531 0.0677787i
\(267\) 9.52346 1.09272i 0.582826 0.0668731i
\(268\) −0.214718 0.175574i −0.0131160 0.0107249i
\(269\) −15.0726 + 10.9509i −0.918993 + 0.667687i −0.943273 0.332018i \(-0.892271\pi\)
0.0242803 + 0.999705i \(0.492271\pi\)
\(270\) 6.03086 + 6.20561i 0.367026 + 0.377661i
\(271\) −9.13580 1.04824i −0.554961 0.0636758i −0.168025 0.985783i \(-0.553739\pi\)
−0.386935 + 0.922107i \(0.626466\pi\)
\(272\) −0.520504 0.0900768i −0.0315602 0.00546171i
\(273\) 12.6812 24.0335i 0.767499 1.45457i
\(274\) −6.12248 13.4064i −0.369873 0.809908i
\(275\) −5.40587 + 1.76379i −0.325986 + 0.106360i
\(276\) −1.85873 + 4.07004i −0.111882 + 0.244988i
\(277\) −6.59709 8.55526i −0.396381 0.514036i 0.550843 0.834609i \(-0.314306\pi\)
−0.947224 + 0.320573i \(0.896124\pi\)
\(278\) 5.36316 + 2.63689i 0.321661 + 0.158150i
\(279\) 2.33379 1.14745i 0.139720 0.0686959i
\(280\) 5.56702 7.21943i 0.332693 0.431444i
\(281\) −12.3947 23.4906i −0.739405 1.40133i −0.909416 0.415887i \(-0.863471\pi\)
0.170011 0.985442i \(-0.445620\pi\)
\(282\) −0.465025 1.43120i −0.0276918 0.0852267i
\(283\) −19.5004 + 8.24092i −1.15918 + 0.489872i −0.882140 0.470988i \(-0.843898\pi\)
−0.277036 + 0.960860i \(0.589352\pi\)
\(284\) −1.21526 3.12137i −0.0721125 0.185219i
\(285\) −5.45684 + 3.50690i −0.323235 + 0.207731i
\(286\) −17.0609 8.97545i −1.00883 0.530730i
\(287\) 13.6930 + 8.79996i 0.808272 + 0.519445i
\(288\) 0.424186 2.09344i 0.0249954 0.123357i
\(289\) −8.63466 14.3190i −0.507921 0.842293i
\(290\) −0.207142 7.25092i −0.0121638 0.425789i
\(291\) −2.79236 + 7.17212i −0.163691 + 0.420437i
\(292\) −2.88623 14.2441i −0.168904 0.833574i
\(293\) −12.5277 + 11.4978i −0.731875 + 0.671709i −0.952806 0.303580i \(-0.901818\pi\)
0.220931 + 0.975290i \(0.429091\pi\)
\(294\) −9.59952 + 14.0388i −0.559855 + 0.818762i
\(295\) 15.7656 + 5.62516i 0.917910 + 0.327510i
\(296\) −2.82445 3.25959i −0.164168 0.189460i
\(297\) −10.6920 + 11.6784i −0.620415 + 0.677648i
\(298\) −6.42461 + 7.41440i −0.372168 + 0.429504i
\(299\) −24.3627 + 13.7582i −1.40893 + 0.795659i
\(300\) −0.0455087 + 1.59301i −0.00262745 + 0.0919727i
\(301\) 38.7479 + 16.3750i 2.23339 + 0.943840i
\(302\) 1.90186 22.1430i 0.109440 1.27419i
\(303\) 1.26516 14.7300i 0.0726814 0.846215i
\(304\) 3.54626 + 1.49866i 0.203392 + 0.0859541i
\(305\) −0.0537302 + 1.88080i −0.00307658 + 0.107695i
\(306\) −0.982477 + 0.554830i −0.0561644 + 0.0317175i
\(307\) 3.49500 4.03344i 0.199470 0.230201i −0.647198 0.762322i \(-0.724059\pi\)
0.846668 + 0.532121i \(0.178605\pi\)
\(308\) 13.7814 + 9.39873i 0.785265 + 0.535543i
\(309\) −9.74204 11.2429i −0.554205 0.639587i
\(310\) −2.07854 0.741622i −0.118053 0.0421213i
\(311\) 4.24576 6.20922i 0.240755 0.352093i −0.686104 0.727504i \(-0.740680\pi\)
0.926858 + 0.375411i \(0.122499\pi\)
\(312\) −3.98048 + 3.65326i −0.225351 + 0.206825i
\(313\) 0.119249 + 0.588519i 0.00674037 + 0.0332650i 0.983312 0.181929i \(-0.0582342\pi\)
−0.976571 + 0.215194i \(0.930961\pi\)
\(314\) 5.69137 14.6182i 0.321182 0.824950i
\(315\) −0.556068 19.4649i −0.0313309 1.09672i
\(316\) 3.76500 + 6.24354i 0.211798 + 0.351227i
\(317\) 3.00666 14.8384i 0.168871 0.833410i −0.802649 0.596452i \(-0.796577\pi\)
0.971520 0.236958i \(-0.0761505\pi\)
\(318\) 6.77132 + 4.35166i 0.379717 + 0.244029i
\(319\) 13.2228 1.15200i 0.740335 0.0644996i
\(320\) −1.52485 + 0.979964i −0.0852419 + 0.0547816i
\(321\) −2.98114 7.65700i −0.166391 0.427372i
\(322\) 22.3008 9.42441i 1.24278 0.525202i
\(323\) −0.628445 1.93415i −0.0349676 0.107619i
\(324\) −0.919519 1.74268i −0.0510844 0.0968156i
\(325\) −6.08538 + 7.89166i −0.337556 + 0.437750i
\(326\) 5.24233 2.57748i 0.290346 0.142754i
\(327\) 3.49859 + 1.72014i 0.193473 + 0.0951241i
\(328\) −1.97620 2.56279i −0.109118 0.141506i
\(329\) −3.38257 + 7.40679i −0.186487 + 0.408350i
\(330\) 5.58554 0.166403i 0.307474 0.00916016i
\(331\) 3.06723 + 6.71629i 0.168590 + 0.369161i 0.975003 0.222192i \(-0.0713213\pi\)
−0.806413 + 0.591353i \(0.798594\pi\)
\(332\) −4.75347 + 9.00884i −0.260881 + 0.494424i
\(333\) −9.07770 1.57096i −0.497455 0.0860880i
\(334\) 14.3054 + 1.64139i 0.782756 + 0.0898129i
\(335\) 0.350384 + 0.360536i 0.0191435 + 0.0196982i
\(336\) 3.78224 2.74795i 0.206338 0.149913i
\(337\) −1.61575 1.32119i −0.0880152 0.0719697i 0.587981 0.808875i \(-0.299923\pi\)
−0.675996 + 0.736905i \(0.736287\pi\)
\(338\) −20.6493 + 2.36929i −1.12317 + 0.128872i
\(339\) 9.57306 + 0.547407i 0.519937 + 0.0297311i
\(340\) 0.918703 + 0.269756i 0.0498237 + 0.0146295i
\(341\) 1.13292 3.87589i 0.0613510 0.209891i
\(342\) 7.89028 2.31680i 0.426658 0.125278i
\(343\) 55.3401 12.8688i 2.98808 0.694849i
\(344\) −6.16191 5.65535i −0.332228 0.304916i
\(345\) 4.18811 6.94520i 0.225480 0.373917i
\(346\) −8.28195 4.67703i −0.445240 0.251439i
\(347\) 5.25063 1.87342i 0.281868 0.100570i −0.191332 0.981525i \(-0.561281\pi\)
0.473200 + 0.880955i \(0.343099\pi\)
\(348\) 0.945664 3.59768i 0.0506929 0.192856i
\(349\) −11.3761 + 9.30218i −0.608948 + 0.497934i −0.886471 0.462785i \(-0.846850\pi\)
0.277523 + 0.960719i \(0.410487\pi\)
\(350\) 6.00981 6.18394i 0.321238 0.330546i
\(351\) −3.94907 + 27.4664i −0.210786 + 1.46605i
\(352\) −1.95274 2.68082i −0.104082 0.142888i
\(353\) 0.686053 + 4.77160i 0.0365149 + 0.253967i 0.999900 0.0141554i \(-0.00450596\pi\)
−0.963385 + 0.268122i \(0.913597\pi\)
\(354\) 6.94463 + 5.04557i 0.369103 + 0.268169i
\(355\) 1.54348 + 5.87201i 0.0819194 + 0.311654i
\(356\) 5.82096 + 8.51289i 0.308510 + 0.451182i
\(357\) −2.40540 0.559352i −0.127307 0.0296040i
\(358\) 21.9133 1.25305i 1.15815 0.0662255i
\(359\) 6.10495 1.05650i 0.322207 0.0557601i −0.00712402 0.999975i \(-0.502268\pi\)
0.329331 + 0.944214i \(0.393177\pi\)
\(360\) −1.19642 + 3.68219i −0.0630566 + 0.194068i
\(361\) −0.357538 4.16274i −0.0188178 0.219092i
\(362\) 6.50889 0.342100
\(363\) 0.899898 + 10.1851i 0.0472324 + 0.534578i
\(364\) 29.2342 1.53229
\(365\) 2.25435 + 26.2469i 0.117998 + 1.37383i
\(366\) −0.298169 + 0.917669i −0.0155855 + 0.0479673i
\(367\) −0.759130 + 0.131373i −0.0396263 + 0.00685759i −0.190301 0.981726i \(-0.560946\pi\)
0.150675 + 0.988583i \(0.451855\pi\)
\(368\) −4.80578 + 0.274804i −0.250518 + 0.0143252i
\(369\) −6.73293 1.56567i −0.350502 0.0815058i
\(370\) 4.41272 + 6.45340i 0.229407 + 0.335496i
\(371\) −11.0719 42.1220i −0.574826 2.18687i
\(372\) −0.915580 0.665208i −0.0474706 0.0344894i
\(373\) −2.61687 18.2007i −0.135496 0.942397i −0.938218 0.346044i \(-0.887525\pi\)
0.802722 0.596353i \(-0.203384\pi\)
\(374\) −0.394730 + 1.70693i −0.0204110 + 0.0882633i
\(375\) 1.61000 11.1978i 0.0831399 0.578251i
\(376\) 1.12831 1.16100i 0.0581880 0.0598741i
\(377\) 18.0074 14.7246i 0.927427 0.758353i
\(378\) 6.10410 23.2224i 0.313961 1.19443i
\(379\) −25.8515 + 9.22379i −1.32790 + 0.473794i −0.902297 0.431115i \(-0.858120\pi\)
−0.425604 + 0.904909i \(0.639938\pi\)
\(380\) −6.07638 3.43149i −0.311712 0.176032i
\(381\) 2.07295 3.43760i 0.106200 0.176114i
\(382\) −11.7198 10.7563i −0.599636 0.550341i
\(383\) −9.15265 + 2.12836i −0.467678 + 0.108754i −0.453712 0.891149i \(-0.649900\pi\)
−0.0139666 + 0.999902i \(0.504446\pi\)
\(384\) −0.891871 + 0.261877i −0.0455131 + 0.0133639i
\(385\) −22.8752 19.7726i −1.16583 1.00770i
\(386\) 20.6554 + 6.06497i 1.05133 + 0.308699i
\(387\) −17.8357 1.01988i −0.906639 0.0518435i
\(388\) −8.22611 + 0.943858i −0.417617 + 0.0479171i
\(389\) 11.8426 + 9.68363i 0.600443 + 0.490979i 0.883693 0.468066i \(-0.155049\pi\)
−0.283251 + 0.959046i \(0.591413\pi\)
\(390\) 7.92282 5.75626i 0.401188 0.291480i
\(391\) 1.77214 + 1.82349i 0.0896211 + 0.0922179i
\(392\) −18.1773 2.08565i −0.918091 0.105341i
\(393\) 10.0515 + 1.73947i 0.507029 + 0.0877448i
\(394\) −4.45656 + 8.44612i −0.224518 + 0.425509i
\(395\) −5.48989 12.0212i −0.276226 0.604851i
\(396\) −6.85372 1.79257i −0.344412 0.0900800i
\(397\) 9.14799 20.0313i 0.459124 1.00534i −0.528562 0.848895i \(-0.677269\pi\)
0.987686 0.156447i \(-0.0500042\pi\)
\(398\) 14.7887 + 19.1784i 0.741293 + 0.961325i
\(399\) 16.1521 + 7.94145i 0.808616 + 0.397570i
\(400\) −1.53858 + 0.756471i −0.0769292 + 0.0378236i
\(401\) −7.68052 + 9.96028i −0.383547 + 0.497392i −0.943611 0.331057i \(-0.892595\pi\)
0.560064 + 0.828449i \(0.310777\pi\)
\(402\) 0.120314 + 0.228021i 0.00600073 + 0.0113726i
\(403\) −2.18686 6.73047i −0.108935 0.335268i
\(404\) 14.6506 6.19140i 0.728895 0.308033i
\(405\) 1.29578 + 3.32818i 0.0643877 + 0.165379i
\(406\) −16.9327 + 10.8820i −0.840357 + 0.540065i
\(407\) −11.3173 + 8.74904i −0.560978 + 0.433674i
\(408\) 0.413066 + 0.265461i 0.0204498 + 0.0131423i
\(409\) −0.844035 + 4.16548i −0.0417349 + 0.205970i −0.995524 0.0945062i \(-0.969873\pi\)
0.953789 + 0.300476i \(0.0971455\pi\)
\(410\) 3.02919 + 5.02335i 0.149601 + 0.248085i
\(411\) 0.391205 + 13.6940i 0.0192967 + 0.675473i
\(412\) 5.80653 14.9140i 0.286067 0.734758i
\(413\) −9.22401 45.5223i −0.453884 2.24001i
\(414\) −7.57506 + 6.95232i −0.372294 + 0.341688i
\(415\) 10.4214 15.2408i 0.511565 0.748140i
\(416\) −5.47444 1.95328i −0.268407 0.0957673i
\(417\) −3.63785 4.19830i −0.178146 0.205592i
\(418\) 5.61983 11.4655i 0.274875 0.560798i
\(419\) −14.3210 + 16.5273i −0.699626 + 0.807412i −0.988702 0.149894i \(-0.952107\pi\)
0.289076 + 0.957306i \(0.406652\pi\)
\(420\) −7.37876 + 4.16698i −0.360047 + 0.203328i
\(421\) 0.170058 5.95282i 0.00828813 0.290123i −0.984866 0.173315i \(-0.944552\pi\)
0.993155 0.116808i \(-0.0372661\pi\)
\(422\) −24.3553 10.2926i −1.18560 0.501037i
\(423\) 0.295923 3.44537i 0.0143883 0.167520i
\(424\) −0.741025 + 8.62760i −0.0359874 + 0.418993i
\(425\) 0.834231 + 0.352549i 0.0404661 + 0.0171011i
\(426\) −0.0889102 + 3.11226i −0.00430771 + 0.150790i
\(427\) 4.54613 2.56732i 0.220002 0.124241i
\(428\) 5.78888 6.68073i 0.279816 0.322925i
\(429\) 11.3600 + 13.8581i 0.548466 + 0.669074i
\(430\) 9.92774 + 11.4572i 0.478758 + 0.552516i
\(431\) 14.4019 + 5.13857i 0.693713 + 0.247516i 0.659288 0.751891i \(-0.270858\pi\)
0.0344256 + 0.999407i \(0.489040\pi\)
\(432\) −2.69466 + 3.94082i −0.129647 + 0.189603i
\(433\) 26.6138 24.4259i 1.27898 1.17383i 0.303718 0.952762i \(-0.401772\pi\)
0.975258 0.221071i \(-0.0709553\pi\)
\(434\) 1.21609 + 6.00166i 0.0583744 + 0.288089i
\(435\) −2.44629 + 6.28324i −0.117290 + 0.301258i
\(436\) 0.119769 + 4.19248i 0.00573592 + 0.200783i
\(437\) −9.56994 15.8700i −0.457792 0.759163i
\(438\) −2.68282 + 13.2403i −0.128190 + 0.632644i
\(439\) −12.0551 7.74734i −0.575358 0.369760i 0.220368 0.975417i \(-0.429274\pi\)
−0.795726 + 0.605657i \(0.792911\pi\)
\(440\) 2.96255 + 5.23105i 0.141234 + 0.249380i
\(441\) −32.8771 + 21.1289i −1.56558 + 1.00614i
\(442\) 1.11396 + 2.86118i 0.0529856 + 0.136093i
\(443\) 17.4444 7.37208i 0.828810 0.350258i 0.0667542 0.997769i \(-0.478736\pi\)
0.762056 + 0.647511i \(0.224190\pi\)
\(444\) 1.23888 + 3.81287i 0.0587945 + 0.180951i
\(445\) −8.72334 16.5326i −0.413526 0.783719i
\(446\) −3.16121 + 4.09953i −0.149688 + 0.194119i
\(447\) 8.18358 4.02360i 0.387070 0.190310i
\(448\) 4.51352 + 2.21915i 0.213244 + 0.104845i
\(449\) 0.420725 + 0.545605i 0.0198552 + 0.0257487i 0.801725 0.597693i \(-0.203916\pi\)
−0.781870 + 0.623442i \(0.785734\pi\)
\(450\) −1.52131 + 3.33120i −0.0717151 + 0.157034i
\(451\) −8.85271 + 6.06923i −0.416858 + 0.285789i
\(452\) 4.28530 + 9.38350i 0.201564 + 0.441363i
\(453\) −9.64051 + 18.2708i −0.452951 + 0.858437i
\(454\) −1.18647 0.205326i −0.0556837 0.00963644i
\(455\) −52.6444 6.04038i −2.46801 0.283177i
\(456\) −2.49406 2.56633i −0.116795 0.120179i
\(457\) −21.2611 + 15.4471i −0.994550 + 0.722583i −0.960913 0.276851i \(-0.910709\pi\)
−0.0336372 + 0.999434i \(0.510709\pi\)
\(458\) 9.12785 + 7.46380i 0.426516 + 0.348761i
\(459\) 2.50540 0.287467i 0.116942 0.0134178i
\(460\) 8.71094 + 0.498109i 0.406149 + 0.0232245i
\(461\) 14.6337 + 4.29684i 0.681559 + 0.200124i 0.604144 0.796875i \(-0.293515\pi\)
0.0774150 + 0.996999i \(0.475333\pi\)
\(462\) −8.39888 13.0338i −0.390751 0.606389i
\(463\) −22.4455 + 6.59060i −1.04313 + 0.306291i −0.758039 0.652209i \(-0.773843\pi\)
−0.285093 + 0.958500i \(0.592024\pi\)
\(464\) 3.89793 0.906424i 0.180957 0.0420797i
\(465\) 1.51131 + 1.38707i 0.0700855 + 0.0643239i
\(466\) 1.30365 2.16186i 0.0603904 0.100146i
\(467\) 24.4298 + 13.7962i 1.13048 + 0.638410i 0.939284 0.343142i \(-0.111491\pi\)
0.191194 + 0.981552i \(0.438764\pi\)
\(468\) −11.6933 + 4.17217i −0.540524 + 0.192859i
\(469\) 0.354639 1.34919i 0.0163757 0.0622996i
\(470\) −2.27172 + 1.85758i −0.104787 + 0.0856837i
\(471\) −10.1624 + 10.4568i −0.468257 + 0.481825i
\(472\) −1.31426 + 9.14087i −0.0604937 + 0.420743i
\(473\) −19.8691 + 19.3569i −0.913583 + 0.890032i
\(474\) −0.964475 6.70807i −0.0442998 0.308112i
\(475\) −5.34006 3.87978i −0.245019 0.178017i
\(476\) −0.675413 2.56954i −0.0309575 0.117775i
\(477\) 10.4401 + 15.2682i 0.478020 + 0.699081i
\(478\) −7.77331 1.80760i −0.355543 0.0826779i
\(479\) 33.6203 1.92248i 1.53615 0.0878403i 0.731605 0.681729i \(-0.238772\pi\)
0.804547 + 0.593889i \(0.202408\pi\)
\(480\) 1.66017 0.287304i 0.0757762 0.0131136i
\(481\) −7.74691 + 23.8425i −0.353229 + 1.08713i
\(482\) 0.675446 + 7.86407i 0.0307657 + 0.358199i
\(483\) −22.5042 −1.02398
\(484\) −9.23922 + 5.96966i −0.419964 + 0.271348i
\(485\) 15.0084 0.681498
\(486\) 1.38234 + 16.0943i 0.0627044 + 0.730054i
\(487\) 2.37815 7.31919i 0.107764 0.331664i −0.882605 0.470115i \(-0.844212\pi\)
0.990369 + 0.138451i \(0.0442123\pi\)
\(488\) −1.02285 + 0.177011i −0.0463022 + 0.00801291i
\(489\) −5.42114 + 0.309992i −0.245153 + 0.0140183i
\(490\) 32.3024 + 7.51159i 1.45927 + 0.339339i
\(491\) −7.08035 10.3547i −0.319532 0.467300i 0.631948 0.775011i \(-0.282255\pi\)
−0.951480 + 0.307710i \(0.900437\pi\)
\(492\) 0.764730 + 2.90934i 0.0344767 + 0.131163i
\(493\) −1.71025 1.24257i −0.0770257 0.0559625i
\(494\) −3.18466 22.1498i −0.143285 0.996567i
\(495\) 11.9717 + 4.64414i 0.538087 + 0.208739i
\(496\) 0.173272 1.20513i 0.00778014 0.0541121i
\(497\) 11.7413 12.0815i 0.526671 0.541931i
\(498\) 7.32967 5.99344i 0.328450 0.268573i
\(499\) 3.20637 12.1983i 0.143537 0.546070i −0.856038 0.516913i \(-0.827081\pi\)
0.999575 0.0291575i \(-0.00928243\pi\)
\(500\) 11.4629 4.08995i 0.512635 0.182908i
\(501\) −11.6545 6.58157i −0.520683 0.294043i
\(502\) 12.4054 20.5721i 0.553681 0.918177i
\(503\) 6.00987 + 5.51581i 0.267967 + 0.245938i 0.798883 0.601487i \(-0.205425\pi\)
−0.530916 + 0.847425i \(0.678152\pi\)
\(504\) 10.4639 2.43327i 0.466099 0.108387i
\(505\) −27.6618 + 8.12224i −1.23093 + 0.361435i
\(506\) 0.0195242 + 15.9650i 0.000867955 + 0.709730i
\(507\) 18.5374 + 5.44306i 0.823273 + 0.241735i
\(508\) 4.31157 + 0.246544i 0.191295 + 0.0109386i
\(509\) −10.4698 + 1.20129i −0.464064 + 0.0532464i −0.342871 0.939383i \(-0.611399\pi\)
−0.121193 + 0.992629i \(0.538672\pi\)
\(510\) −0.688992 0.563386i −0.0305091 0.0249471i
\(511\) 59.1373 42.9657i 2.61608 1.90069i
\(512\) −0.696938 0.717132i −0.0308006 0.0316930i
\(513\) −18.2598 2.09512i −0.806191 0.0925018i
\(514\) −15.5297 2.68752i −0.684985 0.118541i
\(515\) −13.5378 + 25.6570i −0.596548 + 1.13058i
\(516\) 3.22956 + 7.07174i 0.142173 + 0.311316i
\(517\) −3.63552 3.95145i −0.159890 0.173785i
\(518\) 9.01152 19.7325i 0.395944 0.866995i
\(519\) 5.39874 + 7.00121i 0.236978 + 0.307319i
\(520\) 9.45468 + 4.64856i 0.414615 + 0.203853i
\(521\) −6.01366 + 2.95672i −0.263463 + 0.129536i −0.568173 0.822909i \(-0.692350\pi\)
0.304710 + 0.952445i \(0.401440\pi\)
\(522\) 5.21986 6.76923i 0.228467 0.296281i
\(523\) −15.6032 29.5714i −0.682281 1.29307i −0.944644 0.328097i \(-0.893593\pi\)
0.262363 0.964969i \(-0.415498\pi\)
\(524\) 3.39124 + 10.4372i 0.148147 + 0.455950i
\(525\) −7.38321 + 3.12017i −0.322229 + 0.136175i
\(526\) −10.2015 26.2023i −0.444806 1.14247i
\(527\) −0.541050 + 0.347712i −0.0235685 + 0.0151466i
\(528\) 0.701934 + 3.00191i 0.0305478 + 0.130641i
\(529\) 0.143871 + 0.0924601i 0.00625525 + 0.00402001i
\(530\) 3.11706 15.3833i 0.135397 0.668208i
\(531\) 10.1862 + 16.8920i 0.442045 + 0.733049i
\(532\) 0.552944 + 19.3556i 0.0239732 + 0.839170i
\(533\) −6.82462 + 17.5289i −0.295607 + 0.759260i
\(534\) −1.90368 9.39502i −0.0823802 0.406562i
\(535\) −11.8049 + 10.8344i −0.510370 + 0.468413i
\(536\) −0.156556 + 0.228956i −0.00676218 + 0.00988938i
\(537\) −19.2157 6.85614i −0.829217 0.295864i
\(538\) 12.2006 + 14.0802i 0.526003 + 0.607040i
\(539\) −10.2746 + 59.8066i −0.442559 + 2.57605i
\(540\) 5.66675 6.53978i 0.243858 0.281427i
\(541\) 22.2689 12.5758i 0.957415 0.540677i 0.0679543 0.997688i \(-0.478353\pi\)
0.889461 + 0.457011i \(0.151080\pi\)
\(542\) −0.262594 + 9.19199i −0.0112794 + 0.394830i
\(543\) −5.57295 2.35515i −0.239158 0.101069i
\(544\) −0.0452042 + 0.526303i −0.00193812 + 0.0225651i
\(545\) 0.650573 7.57448i 0.0278675 0.324455i
\(546\) −25.0305 10.5780i −1.07121 0.452696i
\(547\) −0.623161 + 21.8135i −0.0266444 + 0.932677i 0.870823 + 0.491597i \(0.163587\pi\)
−0.897467 + 0.441081i \(0.854595\pi\)
\(548\) −12.8333 + 7.24728i −0.548210 + 0.309588i
\(549\) −1.45200 + 1.67570i −0.0619699 + 0.0715171i
\(550\) 2.21992 + 5.23511i 0.0946579 + 0.223226i
\(551\) 10.0895 + 11.6439i 0.429828 + 0.496048i
\(552\) 4.21417 + 1.50361i 0.179367 + 0.0639980i
\(553\) −20.6981 + 30.2700i −0.880174 + 1.28721i
\(554\) −7.95933 + 7.30501i −0.338159 + 0.310360i
\(555\) −1.44313 7.12212i −0.0612574 0.302317i
\(556\) 2.16826 5.56914i 0.0919548 0.236184i
\(557\) −1.29990 45.5025i −0.0550787 1.92800i −0.291895 0.956450i \(-0.594286\pi\)
0.236817 0.971554i \(-0.423896\pi\)
\(558\) −1.34295 2.22704i −0.0568517 0.0942780i
\(559\) −9.65426 + 47.6457i −0.408332 + 2.01520i
\(560\) −7.66935 4.92879i −0.324089 0.208279i
\(561\) 0.955599 1.31866i 0.0403454 0.0556738i
\(562\) −22.3437 + 14.3594i −0.942513 + 0.605716i
\(563\) −12.5401 32.2090i −0.528503 1.35745i −0.902768 0.430127i \(-0.858469\pi\)
0.374265 0.927322i \(-0.377895\pi\)
\(564\) −1.38616 + 0.585794i −0.0583677 + 0.0246664i
\(565\) −5.77807 17.7831i −0.243085 0.748139i
\(566\) 9.87943 + 18.7236i 0.415263 + 0.787012i
\(567\) 6.05166 7.84793i 0.254146 0.329582i
\(568\) −3.00593 + 1.47791i −0.126126 + 0.0620119i
\(569\) −41.1638 20.2389i −1.72568 0.848458i −0.984106 0.177583i \(-0.943172\pi\)
−0.741570 0.670875i \(-0.765919\pi\)
\(570\) 3.96100 + 5.13672i 0.165908 + 0.215153i
\(571\) 15.8954 34.8061i 0.665202 1.45659i −0.212392 0.977184i \(-0.568125\pi\)
0.877594 0.479404i \(-0.159147\pi\)
\(572\) −7.48254 + 17.7664i −0.312861 + 0.742850i
\(573\) 6.14253 + 13.4503i 0.256608 + 0.561893i
\(574\) 7.59590 14.3958i 0.317047 0.600870i
\(575\) 8.13207 + 1.40731i 0.339131 + 0.0586889i
\(576\) −2.12206 0.243484i −0.0884193 0.0101452i
\(577\) 29.0866 + 29.9294i 1.21089 + 1.24598i 0.960641 + 0.277794i \(0.0896031\pi\)
0.250248 + 0.968182i \(0.419488\pi\)
\(578\) −13.5275 + 9.82833i −0.562672 + 0.408805i
\(579\) −15.4907 12.6667i −0.643773 0.526411i
\(580\) −7.20660 + 0.826880i −0.299238 + 0.0343343i
\(581\) −51.1476 2.92473i −2.12196 0.121338i
\(582\) 7.38476 + 2.16836i 0.306108 + 0.0898815i
\(583\) 28.4325 + 4.05250i 1.17755 + 0.167837i
\(584\) −13.9449 + 4.09459i −0.577043 + 0.169435i
\(585\) 21.9192 5.09709i 0.906247 0.210739i
\(586\) 12.5277 + 11.4978i 0.517514 + 0.474970i
\(587\) −3.10202 + 5.14413i −0.128034 + 0.212321i −0.913760 0.406254i \(-0.866835\pi\)
0.785726 + 0.618575i \(0.212290\pi\)
\(588\) 14.8088 + 8.36293i 0.610706 + 0.344881i
\(589\) 4.41479 1.57519i 0.181908 0.0649047i
\(590\) 4.25538 16.1892i 0.175191 0.666497i
\(591\) 6.87184 5.61908i 0.282670 0.231138i
\(592\) −3.00593 + 3.09303i −0.123543 + 0.127123i
\(593\) −0.963341 + 6.70019i −0.0395597 + 0.275144i −0.999994 0.00336171i \(-0.998930\pi\)
0.960435 + 0.278505i \(0.0898390\pi\)
\(594\) 12.5505 + 9.65343i 0.514953 + 0.396085i
\(595\) 0.685353 + 4.76673i 0.0280967 + 0.195417i
\(596\) 7.93698 + 5.76656i 0.325112 + 0.236207i
\(597\) −5.72279 21.7717i −0.234218 0.891058i
\(598\) 15.7926 + 23.0959i 0.645807 + 0.944463i
\(599\) 13.7917 + 3.20713i 0.563514 + 0.131040i 0.498570 0.866849i \(-0.333859\pi\)
0.0649441 + 0.997889i \(0.479313\pi\)
\(600\) 1.59106 0.0909803i 0.0649549 0.00371426i
\(601\) 27.8169 4.81390i 1.13467 0.196363i 0.427916 0.903819i \(-0.359248\pi\)
0.706758 + 0.707456i \(0.250157\pi\)
\(602\) 12.9991 40.0071i 0.529803 1.63057i
\(603\) 0.0506984 + 0.590271i 0.00206460 + 0.0240377i
\(604\) −22.2245 −0.904303
\(605\) 17.8713 8.84105i 0.726570 0.359440i
\(606\) −14.7842 −0.600567
\(607\) 1.82834 + 21.2870i 0.0742102 + 0.864014i 0.934906 + 0.354895i \(0.115483\pi\)
−0.860696 + 0.509119i \(0.829971\pi\)
\(608\) 1.18969 3.66150i 0.0482484 0.148493i
\(609\) 18.4354 3.19037i 0.747040 0.129280i
\(610\) 1.87850 0.107417i 0.0760583 0.00434917i
\(611\) −9.16555 2.13136i −0.370799 0.0862255i
\(612\) 0.636870 + 0.931393i 0.0257440 + 0.0376493i
\(613\) 6.75077 + 25.6826i 0.272661 + 1.03731i 0.952645 + 0.304084i \(0.0983502\pi\)
−0.679984 + 0.733227i \(0.738013\pi\)
\(614\) −4.31773 3.13701i −0.174249 0.126600i
\(615\) −0.775984 5.39709i −0.0312907 0.217632i
\(616\) 8.18492 14.5351i 0.329780 0.585636i
\(617\) 0.511004 3.55411i 0.0205722 0.143083i −0.976947 0.213484i \(-0.931519\pi\)
0.997519 + 0.0704011i \(0.0224279\pi\)
\(618\) −10.3680 + 10.6684i −0.417062 + 0.429146i
\(619\) 20.4800 16.7464i 0.823159 0.673094i −0.124556 0.992213i \(-0.539751\pi\)
0.947715 + 0.319119i \(0.103387\pi\)
\(620\) −0.561030 + 2.13438i −0.0225315 + 0.0857188i
\(621\) 21.6439 7.72254i 0.868541 0.309895i
\(622\) −6.54977 3.69883i −0.262622 0.148309i
\(623\) −26.7848 + 44.4177i −1.07311 + 1.77956i
\(624\) 3.98048 + 3.65326i 0.159347 + 0.146247i
\(625\) −13.1375 + 3.05500i −0.525500 + 0.122200i
\(626\) 0.576155 0.169174i 0.0230278 0.00676157i
\(627\) −8.96038 + 7.78342i −0.357843 + 0.310840i
\(628\) −15.0516 4.41954i −0.600623 0.176359i
\(629\) 2.27462 + 0.130067i 0.0906950 + 0.00518613i
\(630\) −19.3459 + 2.21974i −0.770761 + 0.0884366i
\(631\) 17.9033 + 14.6394i 0.712718 + 0.582787i 0.918315 0.395850i \(-0.129550\pi\)
−0.205597 + 0.978637i \(0.565914\pi\)
\(632\) 5.89845 4.28548i 0.234628 0.170467i
\(633\) 17.1289 + 17.6252i 0.680813 + 0.700540i
\(634\) −15.0413 1.72583i −0.597367 0.0685414i
\(635\) −7.71325 1.33483i −0.306091 0.0529711i
\(636\) 3.75625 7.11888i 0.148945 0.282282i
\(637\) 44.1786 + 96.7376i 1.75042 + 3.83288i
\(638\) −2.27932 13.0757i −0.0902390 0.517673i
\(639\) −2.97217 + 6.50814i −0.117577 + 0.257458i
\(640\) 1.10686 + 1.43540i 0.0437524 + 0.0567391i
\(641\) −31.1409 15.3109i −1.22999 0.604746i −0.293676 0.955905i \(-0.594879\pi\)
−0.936316 + 0.351159i \(0.885788\pi\)
\(642\) −7.37380 + 3.62545i −0.291021 + 0.143085i
\(643\) 14.8586 19.2690i 0.585968 0.759896i −0.401817 0.915720i \(-0.631621\pi\)
0.987785 + 0.155824i \(0.0498031\pi\)
\(644\) −11.2982 21.4125i −0.445213 0.843772i
\(645\) −4.35456 13.4019i −0.171461 0.527701i
\(646\) −1.87328 + 0.791655i −0.0737032 + 0.0311472i
\(647\) 1.73358 + 4.45268i 0.0681542 + 0.175053i 0.961822 0.273677i \(-0.0882401\pi\)
−0.893667 + 0.448730i \(0.851876\pi\)
\(648\) −1.65760 + 1.06528i −0.0651167 + 0.0418480i
\(649\) 30.0260 + 6.04583i 1.17862 + 0.237320i
\(650\) 8.38347 + 5.38773i 0.328827 + 0.211324i
\(651\) 1.13039 5.57868i 0.0443034 0.218646i
\(652\) −3.01664 5.00253i −0.118141 0.195914i
\(653\) 0.106091 + 3.71368i 0.00415167 + 0.145328i 0.999023 + 0.0441833i \(0.0140686\pi\)
−0.994872 + 0.101144i \(0.967750\pi\)
\(654\) 1.41444 3.63296i 0.0553090 0.142060i
\(655\) −3.95035 19.4958i −0.154353 0.761762i
\(656\) −2.38427 + 2.18827i −0.0930902 + 0.0854374i
\(657\) −17.5223 + 25.6256i −0.683611 + 0.999749i
\(658\) 7.66908 + 2.73632i 0.298972 + 0.106673i
\(659\) −7.92224 9.14275i −0.308607 0.356151i 0.580167 0.814498i \(-0.302987\pi\)
−0.888774 + 0.458347i \(0.848442\pi\)
\(660\) −0.643775 5.55081i −0.0250589 0.216065i
\(661\) 6.82378 7.87507i 0.265414 0.306305i −0.607362 0.794426i \(-0.707772\pi\)
0.872776 + 0.488121i \(0.162318\pi\)
\(662\) 6.42918 3.63072i 0.249877 0.141112i
\(663\) 0.0814988 2.85283i 0.00316515 0.110795i
\(664\) 9.38257 + 3.96511i 0.364114 + 0.153876i
\(665\) 3.00352 34.9694i 0.116472 1.35605i
\(666\) −0.788371 + 9.17884i −0.0305488 + 0.355673i
\(667\) −17.7443 7.49882i −0.687064 0.290356i
\(668\) 0.411186 14.3934i 0.0159093 0.556897i
\(669\) 4.19001 2.36621i 0.161995 0.0914828i
\(670\) 0.329230 0.379951i 0.0127193 0.0146788i
\(671\) 0.396636 + 3.41991i 0.0153120 + 0.132024i
\(672\) −3.06154 3.53320i −0.118101 0.136296i
\(673\) −25.8856 9.23596i −0.997816 0.356020i −0.213879 0.976860i \(-0.568610\pi\)
−0.783937 + 0.620840i \(0.786792\pi\)
\(674\) −1.17807 + 1.72288i −0.0453777 + 0.0663628i
\(675\) 6.03025 5.53451i 0.232104 0.213023i
\(676\) 4.12766 + 20.3708i 0.158756 + 0.783493i
\(677\) −6.22293 + 15.9835i −0.239167 + 0.614294i −0.999374 0.0353864i \(-0.988734\pi\)
0.760207 + 0.649681i \(0.225097\pi\)
\(678\) −0.273815 9.58479i −0.0105158 0.368102i
\(679\) −21.5055 35.6628i −0.825304 1.36861i
\(680\) 0.190148 0.938417i 0.00729184 0.0359867i
\(681\) 0.941566 + 0.605108i 0.0360809 + 0.0231878i
\(682\) −3.95863 0.797083i −0.151584 0.0305219i
\(683\) 3.85992 2.48062i 0.147696 0.0949182i −0.464706 0.885465i \(-0.653840\pi\)
0.612402 + 0.790547i \(0.290204\pi\)
\(684\) −2.98351 7.66308i −0.114077 0.293005i
\(685\) 24.6073 10.3991i 0.940198 0.397331i
\(686\) −17.5573 54.0359i −0.670341 2.06310i
\(687\) −5.11465 9.69334i −0.195136 0.369824i
\(688\) −5.10730 + 6.62326i −0.194714 + 0.252509i
\(689\) 45.1681 22.2077i 1.72077 0.846045i
\(690\) −7.27812 3.57841i −0.277073 0.136228i
\(691\) −19.6896 25.5339i −0.749027 0.971356i −0.999994 0.00336004i \(-0.998930\pi\)
0.250967 0.967996i \(-0.419251\pi\)
\(692\) −3.95115 + 8.65181i −0.150200 + 0.328892i
\(693\) −6.11877 35.1015i −0.232433 1.33339i
\(694\) −2.31587 5.07105i −0.0879092 0.192494i
\(695\) −5.05526 + 9.58079i −0.191757 + 0.363420i
\(696\) −3.66541 0.634323i −0.138937 0.0240440i
\(697\) 1.69837 + 0.194870i 0.0643305 + 0.00738124i
\(698\) 10.2416 + 10.5383i 0.387649 + 0.398881i
\(699\) −1.89843 + 1.37929i −0.0718053 + 0.0521696i
\(700\) −6.67555 5.45857i −0.252312 0.206315i
\(701\) 5.03613 0.577842i 0.190212 0.0218248i −0.0183619 0.999831i \(-0.505845\pi\)
0.208574 + 0.978007i \(0.433118\pi\)
\(702\) 27.7036 + 1.58415i 1.04560 + 0.0597898i
\(703\) −15.9323 4.67816i −0.600900 0.176440i
\(704\) −2.50388 + 2.17499i −0.0943685 + 0.0819731i
\(705\) 2.61720 0.768479i 0.0985695 0.0289426i
\(706\) 4.69539 1.09187i 0.176713 0.0410929i
\(707\) 58.9363 + 54.0913i 2.21653 + 2.03431i
\(708\) 4.43277 7.35093i 0.166594 0.276265i
\(709\) −33.4040 18.8641i −1.25451 0.708456i −0.286193 0.958172i \(-0.592390\pi\)
−0.968319 + 0.249716i \(0.919663\pi\)
\(710\) 5.71838 2.04032i 0.214607 0.0765717i
\(711\) 3.95900 15.0616i 0.148474 0.564854i
\(712\) 7.98353 6.52810i 0.299195 0.244651i
\(713\) −4.08455 + 4.20291i −0.152968 + 0.157400i
\(714\) −0.351458 + 2.44444i −0.0131530 + 0.0914810i
\(715\) 17.1453 30.4473i 0.641198 1.13867i
\(716\) −3.12368 21.7257i −0.116737 0.811926i
\(717\) 6.00150 + 4.36034i 0.224130 + 0.162840i
\(718\) −1.57506 5.99215i −0.0587807 0.223625i
\(719\) −8.49218 12.4194i −0.316705 0.463166i 0.633969 0.773359i \(-0.281425\pi\)
−0.950674 + 0.310192i \(0.899607\pi\)
\(720\) 3.77106 + 0.876923i 0.140539 + 0.0326810i
\(721\) 80.3641 4.59538i 2.99292 0.171141i
\(722\) −4.11687 + 0.712453i −0.153214 + 0.0265147i
\(723\) 2.26718 6.97767i 0.0843174 0.259502i
\(724\) −0.556999 6.48502i −0.0207007 0.241014i
\(725\) −6.86129 −0.254822
\(726\) 10.0707 1.76819i 0.373759 0.0656235i
\(727\) 10.3578 0.384151 0.192075 0.981380i \(-0.438478\pi\)
0.192075 + 0.981380i \(0.438478\pi\)
\(728\) −2.50172 29.1270i −0.0927198 1.07952i
\(729\) 2.81328 8.65838i 0.104195 0.320681i
\(730\) 25.9577 4.49216i 0.960738 0.166262i
\(731\) 4.41086 0.252222i 0.163142 0.00932878i
\(732\) 0.939819 + 0.218546i 0.0347367 + 0.00807767i
\(733\) −8.80090 12.8709i −0.325068 0.475398i 0.627974 0.778234i \(-0.283884\pi\)
−0.953042 + 0.302837i \(0.902066\pi\)
\(734\) 0.195853 + 0.745103i 0.00722908 + 0.0275023i
\(735\) −24.9395 18.1196i −0.919908 0.668352i
\(736\) 0.685051 + 4.76463i 0.0252513 + 0.175627i
\(737\) 0.729165 + 0.560850i 0.0268591 + 0.0206592i
\(738\) −0.983761 + 6.84221i −0.0362128 + 0.251865i
\(739\) −23.4281 + 24.1069i −0.861815 + 0.886787i −0.994539 0.104366i \(-0.966719\pi\)
0.132724 + 0.991153i \(0.457628\pi\)
\(740\) 6.05211 4.94879i 0.222480 0.181921i
\(741\) −5.28786 + 20.1171i −0.194255 + 0.739021i
\(742\) −41.0200 + 14.6359i −1.50589 + 0.537301i
\(743\) −38.8945 21.9647i −1.42690 0.805808i −0.431546 0.902091i \(-0.642032\pi\)
−0.995354 + 0.0962832i \(0.969305\pi\)
\(744\) −0.584417 + 0.969146i −0.0214258 + 0.0355306i
\(745\) −13.1013 12.0243i −0.479994 0.440534i
\(746\) −17.9100 + 4.16480i −0.655732 + 0.152484i
\(747\) 20.8758 6.12970i 0.763807 0.224274i
\(748\) 1.73445 + 0.247212i 0.0634177 + 0.00903895i
\(749\) 42.6597 + 12.5260i 1.55875 + 0.457691i
\(750\) −11.2945 0.645841i −0.412416 0.0235828i
\(751\) 10.2716 1.17856i 0.374816 0.0430061i 0.0754632 0.997149i \(-0.475956\pi\)
0.299353 + 0.954142i \(0.403229\pi\)
\(752\) −1.25330 1.02482i −0.0457031 0.0373712i
\(753\) −18.0653 + 13.1252i −0.658337 + 0.478309i
\(754\) −16.2115 16.6813i −0.590389 0.607496i
\(755\) 40.0215 + 4.59204i 1.45653 + 0.167121i
\(756\) −23.6596 4.09445i −0.860490 0.148914i
\(757\) 10.9603 20.7720i 0.398357 0.754971i −0.600650 0.799512i \(-0.705092\pi\)
0.999008 + 0.0445409i \(0.0141825\pi\)
\(758\) 11.4022 + 24.9673i 0.414146 + 0.906854i
\(759\) 5.75999 13.6764i 0.209074 0.496421i
\(760\) −2.89892 + 6.34774i −0.105155 + 0.230257i
\(761\) 12.6414 + 16.3936i 0.458249 + 0.594267i 0.963168 0.268899i \(-0.0866597\pi\)
−0.504920 + 0.863166i \(0.668478\pi\)
\(762\) −3.60238 1.77117i −0.130501 0.0641628i
\(763\) −18.9306 + 9.30754i −0.685333 + 0.336955i
\(764\) −9.71394 + 12.5973i −0.351438 + 0.455753i
\(765\) −0.954419 1.80883i −0.0345071 0.0653982i
\(766\) 2.90379 + 8.93694i 0.104918 + 0.322905i
\(767\) 49.4435 20.8950i 1.78530 0.754475i
\(768\) 0.337238 + 0.866190i 0.0121690 + 0.0312559i
\(769\) −19.0642 + 12.2518i −0.687473 + 0.441812i −0.837186 0.546918i \(-0.815801\pi\)
0.149714 + 0.988729i \(0.452165\pi\)
\(770\) −17.7425 + 24.4834i −0.639395 + 0.882319i
\(771\) 12.3242 + 7.92026i 0.443844 + 0.285241i
\(772\) 4.27513 21.0986i 0.153865 0.759356i
\(773\) −27.5965 45.7636i −0.992576 1.64600i −0.732937 0.680297i \(-0.761851\pi\)
−0.259640 0.965706i \(-0.583604\pi\)
\(774\) 0.510149 + 17.8575i 0.0183369 + 0.641876i
\(775\) −0.757340 + 1.94521i −0.0272045 + 0.0698741i
\(776\) 1.64434 + 8.11516i 0.0590285 + 0.291317i
\(777\) −14.8556 + 13.6344i −0.532943 + 0.489131i
\(778\) 8.63468 12.6278i 0.309568 0.452729i
\(779\) −11.7347 4.18694i −0.420440 0.150013i
\(780\) −6.41314 7.40116i −0.229627 0.265004i
\(781\) 4.33706 + 10.2278i 0.155192 + 0.365980i
\(782\) 1.66515 1.92169i 0.0595457 0.0687194i
\(783\) −16.6359 + 9.39470i −0.594517 + 0.335739i
\(784\) −0.522477 + 18.2891i −0.0186599 + 0.653181i
\(785\) 26.1914 + 11.0686i 0.934812 + 0.395055i
\(786\) 0.872938 10.1634i 0.0311367 0.362518i
\(787\) −3.02312 + 35.1975i −0.107762 + 1.25466i 0.720158 + 0.693810i \(0.244069\pi\)
−0.827921 + 0.560845i \(0.810476\pi\)
\(788\) 8.79651 + 3.71744i 0.313363 + 0.132428i
\(789\) −0.746355 + 26.1258i −0.0265709 + 0.930104i
\(790\) −11.5073 + 6.49846i −0.409411 + 0.231205i
\(791\) −33.9765 + 39.2110i −1.20807 + 1.39418i
\(792\) −1.19949 + 6.98198i −0.0426219 + 0.248094i
\(793\) 3.95120 + 4.55993i 0.140311 + 0.161928i
\(794\) −20.7407 7.40025i −0.736059 0.262625i
\(795\) −8.23508 + 12.0434i −0.292068 + 0.427136i
\(796\) 17.8425 16.3757i 0.632410 0.580421i
\(797\) 3.79206 + 18.7146i 0.134322 + 0.662904i 0.989496 + 0.144563i \(0.0461776\pi\)
−0.855174 + 0.518341i \(0.826550\pi\)
\(798\) 6.53010 16.7724i 0.231163 0.593737i
\(799\) 0.0244210 + 0.854848i 0.000863954 + 0.0302423i
\(800\) 0.885361 + 1.46821i 0.0313022 + 0.0519089i
\(801\) 4.37453 21.5892i 0.154566 0.762815i
\(802\) 10.5810 + 6.80000i 0.373628 + 0.240116i
\(803\) 10.9751 + 46.9364i 0.387303 + 1.65635i
\(804\) 0.216888 0.139386i 0.00764906 0.00491575i
\(805\) 15.9214 + 40.8937i 0.561155 + 1.44131i
\(806\) −6.51864 + 2.75480i −0.229609 + 0.0970336i
\(807\) −5.35147 16.4701i −0.188381 0.579776i
\(808\) −7.42241 14.0670i −0.261119 0.494876i
\(809\) 26.4186 34.2603i 0.928830 1.20453i −0.0497714 0.998761i \(-0.515849\pi\)
0.978601 0.205767i \(-0.0659689\pi\)
\(810\) 3.20508 1.57583i 0.112615 0.0553692i
\(811\) −16.1962 7.96311i −0.568724 0.279623i 0.134122 0.990965i \(-0.457179\pi\)
−0.702846 + 0.711342i \(0.748088\pi\)
\(812\) 12.2911 + 15.9394i 0.431333 + 0.559363i
\(813\) 3.55083 7.77522i 0.124533 0.272689i
\(814\) 9.68543 + 10.5271i 0.339474 + 0.368975i
\(815\) 4.39868 + 9.63177i 0.154079 + 0.337386i
\(816\) 0.229140 0.434268i 0.00802149 0.0152024i
\(817\) −31.7282 5.49077i −1.11003 0.192098i
\(818\) 4.22243 + 0.484478i 0.147634 + 0.0169394i
\(819\) −43.5194 44.7805i −1.52069 1.56476i
\(820\) 4.74570 3.44795i 0.165727 0.120408i
\(821\) 14.5184 + 11.8716i 0.506696 + 0.414323i 0.851502 0.524351i \(-0.175692\pi\)
−0.344807 + 0.938674i \(0.612056\pi\)
\(822\) 13.6102 1.56163i 0.474712 0.0544681i
\(823\) 8.31079 + 0.475228i 0.289696 + 0.0165654i 0.201333 0.979523i \(-0.435473\pi\)
0.0883632 + 0.996088i \(0.471836\pi\)
\(824\) −15.3561 4.50897i −0.534957 0.157077i
\(825\) −0.00646393 5.28558i −0.000225045 0.184020i
\(826\) −44.5660 + 13.0857i −1.55065 + 0.455311i
\(827\) 15.7123 3.65375i 0.546371 0.127053i 0.0557802 0.998443i \(-0.482235\pi\)
0.490591 + 0.871390i \(0.336781\pi\)
\(828\) 7.57506 + 6.95232i 0.263251 + 0.241610i
\(829\) 9.90285 16.4220i 0.343940 0.570361i −0.635499 0.772102i \(-0.719205\pi\)
0.979439 + 0.201741i \(0.0646600\pi\)
\(830\) −16.0767 9.07892i −0.558030 0.315134i
\(831\) 9.45804 3.37462i 0.328096 0.117064i
\(832\) −1.47764 + 5.62151i −0.0512278 + 0.194891i
\(833\) 7.48207 6.11805i 0.259238 0.211978i
\(834\) −3.87159 + 3.98377i −0.134062 + 0.137947i
\(835\) −3.71442 + 25.8344i −0.128543 + 0.894035i
\(836\) −11.9044 4.61805i −0.411723 0.159719i
\(837\) 0.827204 + 5.75333i 0.0285924 + 0.198864i
\(838\) 17.6922 + 12.8541i 0.611167 + 0.444039i
\(839\) −5.66543 21.5535i −0.195592 0.744110i −0.990516 0.137400i \(-0.956125\pi\)
0.794923 0.606710i \(-0.207511\pi\)
\(840\) 4.78313 + 6.99511i 0.165034 + 0.241354i
\(841\) −12.6471 2.94096i −0.436107 0.101412i
\(842\) −5.94553 + 0.339978i −0.204897 + 0.0117164i
\(843\) 24.3266 4.20988i 0.837852 0.144996i
\(844\) −8.17067 + 25.1467i −0.281246 + 0.865586i
\(845\) −3.22399 37.5362i −0.110909 1.29129i
\(846\) −3.45806 −0.118890
\(847\) −46.6156 29.7971i −1.60173 1.02384i
\(848\) 8.65937 0.297364
\(849\) −1.68396 19.6060i −0.0577934 0.672876i
\(850\) 0.279866 0.861340i 0.00959934 0.0295437i
\(851\) 20.4574 3.54029i 0.701270 0.121360i
\(852\) 3.10846 0.177748i 0.106494 0.00608954i
\(853\) −11.8370 2.75258i −0.405292 0.0942466i 0.0188946 0.999821i \(-0.493985\pi\)
−0.424186 + 0.905575i \(0.639440\pi\)
\(854\) −2.94693 4.30975i −0.100842 0.147477i
\(855\) 3.78930 + 14.4160i 0.129591 + 0.493016i
\(856\) −7.15160 5.19594i −0.244437 0.177594i
\(857\) −0.825634 5.74241i −0.0282031 0.196157i 0.970849 0.239693i \(-0.0770468\pi\)
−0.999052 + 0.0435359i \(0.986138\pi\)
\(858\) 12.8351 12.5042i 0.438183 0.426887i
\(859\) 6.00535 41.7681i 0.204900 1.42511i −0.584581 0.811335i \(-0.698741\pi\)
0.789481 0.613775i \(-0.210350\pi\)
\(860\) 10.5656 10.8718i 0.360285 0.370724i
\(861\) −11.7126 + 9.57733i −0.399164 + 0.326394i
\(862\) 3.88728 14.7888i 0.132401 0.503707i
\(863\) −16.2470 + 5.79692i −0.553055 + 0.197329i −0.597766 0.801670i \(-0.703945\pi\)
0.0447116 + 0.999000i \(0.485763\pi\)
\(864\) 4.15696 + 2.34754i 0.141423 + 0.0798650i
\(865\) 8.90279 14.7636i 0.302704 0.501978i
\(866\) −26.6138 24.4259i −0.904372 0.830025i
\(867\) 15.1386 3.52033i 0.514134 0.119557i
\(868\) 5.87558 1.72523i 0.199430 0.0585580i
\(869\) −13.0982 20.3265i −0.444325 0.689528i
\(870\) 6.46953 + 1.89963i 0.219338 + 0.0644033i
\(871\) 1.60954 + 0.0920366i 0.0545371 + 0.00311854i
\(872\) 4.16685 0.478101i 0.141107 0.0161906i
\(873\) 13.6916 + 11.1955i 0.463389 + 0.378912i
\(874\) −14.9928 + 10.8929i −0.507139 + 0.368458i
\(875\) 42.6618 + 43.8979i 1.44223 + 1.48402i
\(876\) 13.4213 + 1.53995i 0.453463 + 0.0520300i
\(877\) −43.4241 7.51483i −1.46633 0.253758i −0.619236 0.785205i \(-0.712557\pi\)
−0.847091 + 0.531447i \(0.821648\pi\)
\(878\) −6.68730 + 12.6739i −0.225686 + 0.427722i
\(879\) −6.56596 14.3775i −0.221464 0.484940i
\(880\) 4.95834 3.39933i 0.167146 0.114591i
\(881\) 2.80772 6.14804i 0.0945943 0.207133i −0.856420 0.516280i \(-0.827316\pi\)
0.951014 + 0.309147i \(0.100044\pi\)
\(882\) 23.8648 + 30.9484i 0.803570 + 1.04209i
\(883\) 0.545482 + 0.268196i 0.0183569 + 0.00902550i 0.450376 0.892839i \(-0.351290\pi\)
−0.432020 + 0.901864i \(0.642199\pi\)
\(884\) 2.75536 1.35472i 0.0926728 0.0455641i
\(885\) −9.50130 + 12.3215i −0.319383 + 0.414183i
\(886\) −8.83784 16.7496i −0.296913 0.562713i
\(887\) 11.5520 + 35.5535i 0.387880 + 1.19377i 0.934370 + 0.356305i \(0.115964\pi\)
−0.546490 + 0.837466i \(0.684036\pi\)
\(888\) 3.69287 1.56062i 0.123925 0.0523709i
\(889\) 7.88045 + 20.2408i 0.264302 + 0.678854i
\(890\) −15.7254 + 10.1061i −0.527118 + 0.338758i
\(891\) 3.22046 + 5.68644i 0.107889 + 0.190503i
\(892\) 4.35502 + 2.79880i 0.145817 + 0.0937107i
\(893\) 1.23778 6.10870i 0.0414208 0.204420i
\(894\) −4.70915 7.80925i −0.157497 0.261180i
\(895\) 1.13610 + 39.7686i 0.0379755 + 1.32932i
\(896\) 1.82477 4.68687i 0.0609611 0.156577i
\(897\) −5.16478 25.4892i −0.172447 0.851060i
\(898\) 0.507600 0.465871i 0.0169388 0.0155463i
\(899\) 2.75022 4.02207i 0.0917251 0.134144i
\(900\) 3.44916 + 1.23066i 0.114972 + 0.0410220i
\(901\) −2.99549 3.45698i −0.0997941 0.115169i
\(902\) 6.80453 + 8.30086i 0.226566 + 0.276388i
\(903\) −25.6059 + 29.5508i −0.852111 + 0.983388i
\(904\) 8.98237 5.07258i 0.298749 0.168711i
\(905\) −0.336904 + 11.7932i −0.0111991 + 0.392019i
\(906\) 19.0288 + 8.04162i 0.632188 + 0.267165i
\(907\) 2.57878 30.0242i 0.0856270 0.996937i −0.819860 0.572564i \(-0.805949\pi\)
0.905487 0.424373i \(-0.139506\pi\)
\(908\) −0.103041 + 1.19969i −0.00341954 + 0.0398130i
\(909\) −31.2935 13.2247i −1.03794 0.438637i
\(910\) −1.51318 + 52.9682i −0.0501614 + 1.75588i
\(911\) −21.9933 + 12.4202i −0.728671 + 0.411499i −0.810954 0.585110i \(-0.801051\pi\)
0.0822833 + 0.996609i \(0.473779\pi\)
\(912\) −2.34348 + 2.70452i −0.0776005 + 0.0895557i
\(913\) 14.8688 30.3352i 0.492084 1.00395i
\(914\) 17.2098 + 19.8612i 0.569250 + 0.656949i
\(915\) −1.64725 0.587738i −0.0544565 0.0194300i
\(916\) 6.65531 9.73308i 0.219898 0.321590i
\(917\) −40.6651 + 37.3221i −1.34288 + 1.23248i
\(918\) −0.500812 2.47161i −0.0165293 0.0815751i
\(919\) −9.56292 + 24.5622i −0.315452 + 0.810231i 0.681471 + 0.731845i \(0.261340\pi\)
−0.996923 + 0.0783863i \(0.975023\pi\)
\(920\) −0.249156 8.72161i −0.00821444 0.287543i
\(921\) 2.56178 + 4.24824i 0.0844136 + 0.139984i
\(922\) 3.02880 14.9477i 0.0997482 0.492277i
\(923\) 16.3787 + 10.5260i 0.539113 + 0.346467i
\(924\) −12.2673 + 9.48344i −0.403564 + 0.311982i
\(925\) 6.22083 3.99789i 0.204540 0.131450i
\(926\) 8.48720 + 21.7992i 0.278907 + 0.716366i
\(927\) −31.4888 + 13.3073i −1.03423 + 0.437069i
\(928\) −1.23666 3.80606i −0.0405955 0.124940i
\(929\) 18.4749 + 35.0137i 0.606140 + 1.14876i 0.975608 + 0.219520i \(0.0704491\pi\)
−0.369468 + 0.929244i \(0.620460\pi\)
\(930\) 1.25265 1.62447i 0.0410761 0.0532684i
\(931\) −63.2130 + 31.0798i −2.07172 + 1.01860i
\(932\) −2.26549 1.11387i −0.0742086 0.0364859i
\(933\) 4.26959 + 5.53690i 0.139780 + 0.181270i
\(934\) 11.6550 25.5208i 0.381362 0.835067i
\(935\) −3.07228 0.803546i −0.100474 0.0262788i
\(936\) 5.15752 + 11.2934i 0.168579 + 0.369136i
\(937\) −24.0133 + 45.5103i −0.784482 + 1.48676i 0.0869347 + 0.996214i \(0.472293\pi\)
−0.871416 + 0.490544i \(0.836798\pi\)
\(938\) −1.37459 0.237881i −0.0448818 0.00776710i
\(939\) −0.554521 0.0636253i −0.0180961 0.00207633i
\(940\) 2.04517 + 2.10443i 0.0667060 + 0.0686388i
\(941\) 10.0890 7.33005i 0.328890 0.238953i −0.411069 0.911604i \(-0.634845\pi\)
0.739960 + 0.672651i \(0.234845\pi\)
\(942\) 11.2881 + 9.23024i 0.367786 + 0.300737i
\(943\) 15.4765 1.77577i 0.503985 0.0578269i
\(944\) 9.21981 + 0.527208i 0.300079 + 0.0171592i
\(945\) 41.7597 + 12.2618i 1.35844 + 0.398875i
\(946\) 20.9862 + 18.1398i 0.682321 + 0.589775i
\(947\) 50.0033 14.6823i 1.62489 0.477111i 0.662563 0.749006i \(-0.269469\pi\)
0.962327 + 0.271895i \(0.0876504\pi\)
\(948\) −6.60093 + 1.53498i −0.214388 + 0.0498538i
\(949\) 62.2370 + 57.1206i 2.02030 + 1.85421i
\(950\) −3.40857 + 5.65248i −0.110589 + 0.183391i
\(951\) 12.2540 + 6.92015i 0.397363 + 0.224401i
\(952\) −2.50231 + 0.892824i −0.0811005 + 0.0289366i
\(953\) −1.06401 + 4.04790i −0.0344665 + 0.131124i −0.982155 0.188071i \(-0.939776\pi\)
0.947689 + 0.319196i \(0.103413\pi\)
\(954\) 14.3187 11.7084i 0.463587 0.379073i
\(955\) 20.0955 20.6778i 0.650276 0.669118i
\(956\) −1.13577 + 7.89948i −0.0367335 + 0.255487i
\(957\) −2.77970 + 12.0203i −0.0898549 + 0.388560i
\(958\) −4.79249 33.3325i −0.154838 1.07692i
\(959\) −59.9699 43.5707i −1.93653 1.40697i
\(960\) −0.428320 1.62950i −0.0138240 0.0525918i
\(961\) 16.6610 + 24.3660i 0.537452 + 0.785999i
\(962\) 24.4180 + 5.67817i 0.787268 + 0.183071i
\(963\) −18.8510 + 1.07794i −0.607466 + 0.0347362i
\(964\) 7.77742 1.34594i 0.250494 0.0433497i
\(965\) −12.0580 + 37.1107i −0.388160 + 1.19463i
\(966\) 1.92580 + 22.4216i 0.0619615 + 0.721405i
\(967\) −15.8227 −0.508823 −0.254411 0.967096i \(-0.581882\pi\)
−0.254411 + 0.967096i \(0.581882\pi\)
\(968\) 6.73841 + 8.69447i 0.216581 + 0.279451i
\(969\) 1.89036 0.0607272
\(970\) −1.28435 14.9534i −0.0412379 0.480124i
\(971\) −2.84866 + 8.76728i −0.0914179 + 0.281355i −0.986304 0.164940i \(-0.947257\pi\)
0.894886 + 0.446295i \(0.147257\pi\)
\(972\) 15.9170 2.75455i 0.510538 0.0883521i
\(973\) 30.0094 1.71600i 0.962056 0.0550124i
\(974\) −7.49585 1.74309i −0.240183 0.0558521i
\(975\) −5.22850 7.64644i −0.167446 0.244882i
\(976\) 0.263892 + 1.00395i 0.00844698 + 0.0321356i
\(977\) 39.7243 + 28.8614i 1.27089 + 0.923358i 0.999238 0.0390365i \(-0.0124289\pi\)
0.271656 + 0.962395i \(0.412429\pi\)
\(978\) 0.772769 + 5.37473i 0.0247104 + 0.171865i
\(979\) −20.1382 27.6466i −0.643618 0.883590i
\(980\) 4.71976 32.8267i 0.150767 1.04861i
\(981\) 6.24367 6.42459i 0.199345 0.205121i
\(982\) −9.71080 + 7.94048i −0.309884 + 0.253391i
\(983\) −0.726540 + 2.76404i −0.0231730 + 0.0881593i −0.977728 0.209874i \(-0.932694\pi\)
0.954555 + 0.298034i \(0.0963308\pi\)
\(984\) 2.83322 1.01089i 0.0903198 0.0322260i
\(985\) −15.0725 8.51183i −0.480249 0.271209i
\(986\) −1.09166 + 1.81031i −0.0347654 + 0.0576520i
\(987\) −5.57622 5.11780i −0.177493 0.162902i
\(988\) −21.7960 + 5.06845i −0.693424 + 0.161249i
\(989\) 38.6291 11.3425i 1.22833 0.360671i
\(990\) 3.60263 12.3252i 0.114499 0.391720i
\(991\) −9.86176 2.89568i −0.313269 0.0919842i 0.121319 0.992614i \(-0.461288\pi\)
−0.434588 + 0.900629i \(0.643106\pi\)
\(992\) −1.21554 0.0695071i −0.0385934 0.00220685i
\(993\) −6.81843 + 0.782341i −0.216376 + 0.0248269i
\(994\) −13.0420 10.6644i −0.413667 0.338254i
\(995\) −35.5140 + 25.8024i −1.12587 + 0.817991i
\(996\) −6.59869 6.78990i −0.209088 0.215146i
\(997\) −6.59977 0.757253i −0.209017 0.0239825i 0.00885051 0.999961i \(-0.497183\pi\)
−0.217867 + 0.975978i \(0.569910\pi\)
\(998\) −12.4279 2.15074i −0.393399 0.0680804i
\(999\) 9.60897 18.2110i 0.304015 0.576172i
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.a.15.2 200
121.113 even 55 inner 242.2.g.a.113.2 yes 200
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
242.2.g.a.15.2 200 1.1 even 1 trivial
242.2.g.a.113.2 yes 200 121.113 even 55 inner