Properties

Label 370.2.o.a.81.2
Level $370$
Weight $2$
Character 370.81
Analytic conductor $2.954$
Analytic rank $0$
Dimension $18$
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] = [370,2,Mod(71,370)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(370, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([0, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("370.71");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 370 = 2 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 370.o (of order \(9\), degree \(6\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(18\)
Relative dimension: \(3\) over \(\Q(\zeta_{9})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{18} - \cdots)\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{18} - 3 x^{17} + 21 x^{16} - 20 x^{15} + 180 x^{14} - 126 x^{13} + 1002 x^{12} - 270 x^{11} + 3294 x^{10} - 1172 x^{9} + 6585 x^{8} - 1464 x^{7} + 8092 x^{6} - 2088 x^{5} + \cdots + 81 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 3 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 81.2
Root \(1.87438 + 3.24652i\) of defining polynomial
Character \(\chi\) \(=\) 370.81
Dual form 370.2.o.a.201.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.939693 + 0.342020i) q^{2} +(0.528795 + 0.192466i) q^{3} +(0.766044 - 0.642788i) q^{4} +(0.173648 + 0.984808i) q^{5} -0.562732 q^{6} +(-0.553248 - 3.13762i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-2.05555 - 1.72481i) q^{9} +O(q^{10})\) \(q+(-0.939693 + 0.342020i) q^{2} +(0.528795 + 0.192466i) q^{3} +(0.766044 - 0.642788i) q^{4} +(0.173648 + 0.984808i) q^{5} -0.562732 q^{6} +(-0.553248 - 3.13762i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-2.05555 - 1.72481i) q^{9} +(-0.500000 - 0.866025i) q^{10} +(1.58682 - 2.74846i) q^{11} +(0.528795 - 0.192466i) q^{12} +(3.63368 - 3.04902i) q^{13} +(1.59301 + 2.75918i) q^{14} +(-0.0977173 + 0.554183i) q^{15} +(0.173648 - 0.984808i) q^{16} +(2.70668 + 2.27118i) q^{17} +(2.52151 + 0.917754i) q^{18} +(-5.64743 - 2.05550i) q^{19} +(0.766044 + 0.642788i) q^{20} +(0.311330 - 1.76564i) q^{21} +(-0.551098 + 3.12543i) q^{22} +(3.08028 + 5.33520i) q^{23} +(-0.431077 + 0.361717i) q^{24} +(-0.939693 + 0.342020i) q^{25} +(-2.37171 + 4.10793i) q^{26} +(-1.59910 - 2.76972i) q^{27} +(-2.44064 - 2.04794i) q^{28} +(4.50884 - 7.80955i) q^{29} +(-0.0977173 - 0.554183i) q^{30} +0.673963 q^{31} +(0.173648 + 0.984808i) q^{32} +(1.36809 - 1.14796i) q^{33} +(-3.32024 - 1.20847i) q^{34} +(2.99388 - 1.08968i) q^{35} -2.68333 q^{36} +(1.14364 + 5.97429i) q^{37} +6.00987 q^{38} +(2.50830 - 0.912947i) q^{39} +(-0.939693 - 0.342020i) q^{40} +(4.45175 - 3.73546i) q^{41} +(0.311330 + 1.76564i) q^{42} +4.01520 q^{43} +(-0.551098 - 3.12543i) q^{44} +(1.34167 - 2.32383i) q^{45} +(-4.71926 - 3.95993i) q^{46} +(-3.66819 - 6.35349i) q^{47} +(0.281366 - 0.487340i) q^{48} +(-2.96074 + 1.07762i) q^{49} +(0.766044 - 0.642788i) q^{50} +(0.994156 + 1.72193i) q^{51} +(0.823688 - 4.67137i) q^{52} +(-1.88180 + 10.6722i) q^{53} +(2.44996 + 2.05576i) q^{54} +(2.98225 + 1.08545i) q^{55} +(2.99388 + 1.08968i) q^{56} +(-2.59072 - 2.17387i) q^{57} +(-1.56590 + 8.88069i) q^{58} +(0.132294 - 0.750274i) q^{59} +(0.281366 + 0.487340i) q^{60} +(-6.44154 + 5.40509i) q^{61} +(-0.633318 + 0.230509i) q^{62} +(-4.27458 + 7.40380i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(3.63368 + 3.04902i) q^{65} +(-0.892955 + 1.54664i) q^{66} +(-1.21616 - 6.89720i) q^{67} +3.53332 q^{68} +(0.601993 + 3.41407i) q^{69} +(-2.44064 + 2.04794i) q^{70} +(-6.37947 - 2.32194i) q^{71} +(2.52151 - 0.917754i) q^{72} -4.38099 q^{73} +(-3.11800 - 5.22284i) q^{74} -0.562732 q^{75} +(-5.64743 + 2.05550i) q^{76} +(-9.50153 - 3.45827i) q^{77} +(-2.04479 + 1.71578i) q^{78} +(-1.42681 - 8.09184i) q^{79} +1.00000 q^{80} +(1.08535 + 6.15532i) q^{81} +(-2.90567 + 5.03277i) q^{82} +(9.24781 + 7.75983i) q^{83} +(-0.896439 - 1.55268i) q^{84} +(-1.76666 + 3.05995i) q^{85} +(-3.77305 + 1.37328i) q^{86} +(3.88732 - 3.26185i) q^{87} +(1.58682 + 2.74846i) q^{88} +(-2.04916 + 11.6214i) q^{89} +(-0.465956 + 2.64257i) q^{90} +(-11.5770 - 9.71425i) q^{91} +(5.78903 + 2.10703i) q^{92} +(0.356388 + 0.129715i) q^{93} +(5.61999 + 4.71574i) q^{94} +(1.04360 - 5.91857i) q^{95} +(-0.0977173 + 0.554183i) q^{96} +(4.04892 + 7.01294i) q^{97} +(2.41362 - 2.02527i) q^{98} +(-8.00237 + 2.91262i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18 q - 6 q^{6} - 3 q^{7} - 9 q^{8} - 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 18 q - 6 q^{6} - 3 q^{7} - 9 q^{8} - 12 q^{9} - 9 q^{10} + 3 q^{11} + 9 q^{13} - 6 q^{17} + 6 q^{18} + 9 q^{19} - 6 q^{21} + 21 q^{23} + 6 q^{26} + 12 q^{27} - 3 q^{28} + 6 q^{29} - 30 q^{31} - 45 q^{33} - 15 q^{34} + 6 q^{35} + 24 q^{36} + 6 q^{37} - 12 q^{38} + 24 q^{39} + 15 q^{41} - 6 q^{42} - 12 q^{43} - 12 q^{45} + 24 q^{47} + 3 q^{48} + 33 q^{49} - 42 q^{51} - 12 q^{53} + 27 q^{54} + 6 q^{56} + 51 q^{57} - 15 q^{58} - 15 q^{59} + 3 q^{60} + 72 q^{61} - 57 q^{62} - 30 q^{63} - 9 q^{64} + 9 q^{65} - 3 q^{66} + 18 q^{67} + 24 q^{69} - 3 q^{70} + 6 q^{72} - 66 q^{73} - 24 q^{74} - 6 q^{75} + 9 q^{76} - 66 q^{77} + 6 q^{78} - 12 q^{79} + 18 q^{80} + 66 q^{81} + 45 q^{82} + 9 q^{83} + 42 q^{84} + 12 q^{86} + 48 q^{87} + 3 q^{88} + 6 q^{90} - 78 q^{91} + 18 q^{92} + 24 q^{94} - 3 q^{97} - 48 q^{98} - 96 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.939693 + 0.342020i −0.664463 + 0.241845i
\(3\) 0.528795 + 0.192466i 0.305300 + 0.111120i 0.490127 0.871651i \(-0.336950\pi\)
−0.184827 + 0.982771i \(0.559173\pi\)
\(4\) 0.766044 0.642788i 0.383022 0.321394i
\(5\) 0.173648 + 0.984808i 0.0776578 + 0.440419i
\(6\) −0.562732 −0.229734
\(7\) −0.553248 3.13762i −0.209108 1.18591i −0.890843 0.454311i \(-0.849886\pi\)
0.681735 0.731599i \(-0.261226\pi\)
\(8\) −0.500000 + 0.866025i −0.176777 + 0.306186i
\(9\) −2.05555 1.72481i −0.685184 0.574938i
\(10\) −0.500000 0.866025i −0.158114 0.273861i
\(11\) 1.58682 2.74846i 0.478445 0.828691i −0.521250 0.853404i \(-0.674534\pi\)
0.999695 + 0.0247133i \(0.00786729\pi\)
\(12\) 0.528795 0.192466i 0.152650 0.0555600i
\(13\) 3.63368 3.04902i 1.00780 0.845645i 0.0197548 0.999805i \(-0.493711\pi\)
0.988046 + 0.154160i \(0.0492670\pi\)
\(14\) 1.59301 + 2.75918i 0.425751 + 0.737422i
\(15\) −0.0977173 + 0.554183i −0.0252305 + 0.143089i
\(16\) 0.173648 0.984808i 0.0434120 0.246202i
\(17\) 2.70668 + 2.27118i 0.656467 + 0.550841i 0.909025 0.416741i \(-0.136828\pi\)
−0.252559 + 0.967582i \(0.581272\pi\)
\(18\) 2.52151 + 0.917754i 0.594325 + 0.216317i
\(19\) −5.64743 2.05550i −1.29561 0.471564i −0.400046 0.916495i \(-0.631006\pi\)
−0.895564 + 0.444932i \(0.853228\pi\)
\(20\) 0.766044 + 0.642788i 0.171293 + 0.143732i
\(21\) 0.311330 1.76564i 0.0679378 0.385294i
\(22\) −0.551098 + 3.12543i −0.117494 + 0.666344i
\(23\) 3.08028 + 5.33520i 0.642282 + 1.11247i 0.984922 + 0.172998i \(0.0553455\pi\)
−0.342640 + 0.939467i \(0.611321\pi\)
\(24\) −0.431077 + 0.361717i −0.0879933 + 0.0738352i
\(25\) −0.939693 + 0.342020i −0.187939 + 0.0684040i
\(26\) −2.37171 + 4.10793i −0.465131 + 0.805631i
\(27\) −1.59910 2.76972i −0.307746 0.533032i
\(28\) −2.44064 2.04794i −0.461237 0.387024i
\(29\) 4.50884 7.80955i 0.837271 1.45020i −0.0548965 0.998492i \(-0.517483\pi\)
0.892168 0.451704i \(-0.149184\pi\)
\(30\) −0.0977173 0.554183i −0.0178407 0.101179i
\(31\) 0.673963 0.121047 0.0605237 0.998167i \(-0.480723\pi\)
0.0605237 + 0.998167i \(0.480723\pi\)
\(32\) 0.173648 + 0.984808i 0.0306970 + 0.174091i
\(33\) 1.36809 1.14796i 0.238153 0.199834i
\(34\) −3.32024 1.20847i −0.569416 0.207250i
\(35\) 2.99388 1.08968i 0.506059 0.184190i
\(36\) −2.68333 −0.447222
\(37\) 1.14364 + 5.97429i 0.188013 + 0.982167i
\(38\) 6.00987 0.974930
\(39\) 2.50830 0.912947i 0.401650 0.146188i
\(40\) −0.939693 0.342020i −0.148578 0.0540781i
\(41\) 4.45175 3.73546i 0.695246 0.583381i −0.225170 0.974319i \(-0.572294\pi\)
0.920417 + 0.390938i \(0.127849\pi\)
\(42\) 0.311330 + 1.76564i 0.0480392 + 0.272444i
\(43\) 4.01520 0.612312 0.306156 0.951981i \(-0.400957\pi\)
0.306156 + 0.951981i \(0.400957\pi\)
\(44\) −0.551098 3.12543i −0.0830811 0.471176i
\(45\) 1.34167 2.32383i 0.200004 0.346417i
\(46\) −4.71926 3.95993i −0.695817 0.583859i
\(47\) −3.66819 6.35349i −0.535061 0.926752i −0.999160 0.0409693i \(-0.986955\pi\)
0.464100 0.885783i \(-0.346378\pi\)
\(48\) 0.281366 0.487340i 0.0406117 0.0703415i
\(49\) −2.96074 + 1.07762i −0.422963 + 0.153946i
\(50\) 0.766044 0.642788i 0.108335 0.0909039i
\(51\) 0.994156 + 1.72193i 0.139210 + 0.241118i
\(52\) 0.823688 4.67137i 0.114225 0.647802i
\(53\) −1.88180 + 10.6722i −0.258485 + 1.46594i 0.528483 + 0.848944i \(0.322761\pi\)
−0.786967 + 0.616995i \(0.788350\pi\)
\(54\) 2.44996 + 2.05576i 0.333397 + 0.279753i
\(55\) 2.98225 + 1.08545i 0.402127 + 0.146362i
\(56\) 2.99388 + 1.08968i 0.400075 + 0.145615i
\(57\) −2.59072 2.17387i −0.343149 0.287937i
\(58\) −1.56590 + 8.88069i −0.205613 + 1.16609i
\(59\) 0.132294 0.750274i 0.0172232 0.0976774i −0.974984 0.222273i \(-0.928652\pi\)
0.992208 + 0.124596i \(0.0397634\pi\)
\(60\) 0.281366 + 0.487340i 0.0363242 + 0.0629153i
\(61\) −6.44154 + 5.40509i −0.824754 + 0.692051i −0.954080 0.299551i \(-0.903163\pi\)
0.129326 + 0.991602i \(0.458719\pi\)
\(62\) −0.633318 + 0.230509i −0.0804315 + 0.0292747i
\(63\) −4.27458 + 7.40380i −0.538547 + 0.932791i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) 3.63368 + 3.04902i 0.450702 + 0.378184i
\(66\) −0.892955 + 1.54664i −0.109915 + 0.190379i
\(67\) −1.21616 6.89720i −0.148578 0.842627i −0.964424 0.264359i \(-0.914840\pi\)
0.815846 0.578269i \(-0.196271\pi\)
\(68\) 3.53332 0.428478
\(69\) 0.601993 + 3.41407i 0.0724714 + 0.411006i
\(70\) −2.44064 + 2.04794i −0.291712 + 0.244775i
\(71\) −6.37947 2.32194i −0.757104 0.275563i −0.0655119 0.997852i \(-0.520868\pi\)
−0.691592 + 0.722289i \(0.743090\pi\)
\(72\) 2.52151 0.917754i 0.297163 0.108158i
\(73\) −4.38099 −0.512756 −0.256378 0.966577i \(-0.582529\pi\)
−0.256378 + 0.966577i \(0.582529\pi\)
\(74\) −3.11800 5.22284i −0.362460 0.607143i
\(75\) −0.562732 −0.0649787
\(76\) −5.64743 + 2.05550i −0.647805 + 0.235782i
\(77\) −9.50153 3.45827i −1.08280 0.394107i
\(78\) −2.04479 + 1.71578i −0.231526 + 0.194274i
\(79\) −1.42681 8.09184i −0.160529 0.910403i −0.953556 0.301217i \(-0.902607\pi\)
0.793027 0.609186i \(-0.208504\pi\)
\(80\) 1.00000 0.111803
\(81\) 1.08535 + 6.15532i 0.120594 + 0.683924i
\(82\) −2.90567 + 5.03277i −0.320878 + 0.555777i
\(83\) 9.24781 + 7.75983i 1.01508 + 0.851753i 0.989001 0.147907i \(-0.0472538\pi\)
0.0260779 + 0.999660i \(0.491698\pi\)
\(84\) −0.896439 1.55268i −0.0978095 0.169411i
\(85\) −1.76666 + 3.05995i −0.191621 + 0.331898i
\(86\) −3.77305 + 1.37328i −0.406859 + 0.148085i
\(87\) 3.88732 3.26185i 0.416765 0.349707i
\(88\) 1.58682 + 2.74846i 0.169156 + 0.292986i
\(89\) −2.04916 + 11.6214i −0.217210 + 1.23186i 0.659819 + 0.751424i \(0.270633\pi\)
−0.877030 + 0.480436i \(0.840478\pi\)
\(90\) −0.465956 + 2.64257i −0.0491161 + 0.278551i
\(91\) −11.5770 9.71425i −1.21360 1.01833i
\(92\) 5.78903 + 2.10703i 0.603548 + 0.219673i
\(93\) 0.356388 + 0.129715i 0.0369557 + 0.0134508i
\(94\) 5.61999 + 4.71574i 0.579658 + 0.486391i
\(95\) 1.04360 5.91857i 0.107071 0.607232i
\(96\) −0.0977173 + 0.554183i −0.00997323 + 0.0565610i
\(97\) 4.04892 + 7.01294i 0.411106 + 0.712056i 0.995011 0.0997660i \(-0.0318094\pi\)
−0.583905 + 0.811822i \(0.698476\pi\)
\(98\) 2.41362 2.02527i 0.243812 0.204583i
\(99\) −8.00237 + 2.91262i −0.804269 + 0.292730i
\(100\) −0.500000 + 0.866025i −0.0500000 + 0.0866025i
\(101\) −1.11299 1.92775i −0.110746 0.191818i 0.805325 0.592833i \(-0.201991\pi\)
−0.916071 + 0.401015i \(0.868657\pi\)
\(102\) −1.52314 1.27806i −0.150813 0.126547i
\(103\) 0.342093 0.592522i 0.0337074 0.0583829i −0.848680 0.528907i \(-0.822602\pi\)
0.882387 + 0.470524i \(0.155935\pi\)
\(104\) 0.823688 + 4.67137i 0.0807692 + 0.458065i
\(105\) 1.79288 0.174967
\(106\) −1.88180 10.6722i −0.182776 1.03658i
\(107\) −15.1560 + 12.7174i −1.46519 + 1.22944i −0.544725 + 0.838615i \(0.683366\pi\)
−0.920465 + 0.390825i \(0.872190\pi\)
\(108\) −3.00532 1.09385i −0.289187 0.105255i
\(109\) −19.0875 + 6.94728i −1.82825 + 0.665429i −0.834885 + 0.550424i \(0.814466\pi\)
−0.993365 + 0.115005i \(0.963312\pi\)
\(110\) −3.17364 −0.302595
\(111\) −0.545094 + 3.37928i −0.0517380 + 0.320747i
\(112\) −3.18603 −0.301051
\(113\) 15.8823 5.78068i 1.49408 0.543801i 0.539560 0.841947i \(-0.318591\pi\)
0.954520 + 0.298147i \(0.0963685\pi\)
\(114\) 3.17799 + 1.15669i 0.297646 + 0.108334i
\(115\) −4.71926 + 3.95993i −0.440073 + 0.369265i
\(116\) −1.56590 8.88069i −0.145391 0.824551i
\(117\) −12.7282 −1.17672
\(118\) 0.132294 + 0.750274i 0.0121786 + 0.0690684i
\(119\) 5.62863 9.74907i 0.515975 0.893695i
\(120\) −0.431077 0.361717i −0.0393518 0.0330201i
\(121\) 0.463990 + 0.803654i 0.0421809 + 0.0730594i
\(122\) 4.20442 7.28226i 0.380650 0.659305i
\(123\) 3.07301 1.11848i 0.277084 0.100850i
\(124\) 0.516286 0.433215i 0.0463638 0.0389039i
\(125\) −0.500000 0.866025i −0.0447214 0.0774597i
\(126\) 1.48455 8.41929i 0.132254 0.750050i
\(127\) 2.10224 11.9224i 0.186544 1.05794i −0.737413 0.675443i \(-0.763953\pi\)
0.923956 0.382499i \(-0.124936\pi\)
\(128\) 0.766044 + 0.642788i 0.0677094 + 0.0568149i
\(129\) 2.12322 + 0.772788i 0.186939 + 0.0680402i
\(130\) −4.45737 1.62235i −0.390937 0.142289i
\(131\) 7.29228 + 6.11895i 0.637130 + 0.534615i 0.903135 0.429356i \(-0.141260\pi\)
−0.266006 + 0.963971i \(0.585704\pi\)
\(132\) 0.310120 1.75878i 0.0269925 0.153082i
\(133\) −3.32495 + 18.8567i −0.288309 + 1.63508i
\(134\) 3.50180 + 6.06530i 0.302510 + 0.523962i
\(135\) 2.44996 2.05576i 0.210859 0.176931i
\(136\) −3.32024 + 1.20847i −0.284708 + 0.103625i
\(137\) −5.48935 + 9.50783i −0.468986 + 0.812308i −0.999372 0.0354485i \(-0.988714\pi\)
0.530385 + 0.847757i \(0.322047\pi\)
\(138\) −1.73337 3.00228i −0.147554 0.255571i
\(139\) 13.9652 + 11.7182i 1.18451 + 0.993925i 0.999938 + 0.0111062i \(0.00353529\pi\)
0.184575 + 0.982818i \(0.440909\pi\)
\(140\) 1.59301 2.75918i 0.134634 0.233193i
\(141\) −0.716892 4.06569i −0.0603732 0.342393i
\(142\) 6.78889 0.569711
\(143\) −2.61409 14.8253i −0.218601 1.23975i
\(144\) −2.05555 + 1.72481i −0.171296 + 0.143734i
\(145\) 8.47385 + 3.08423i 0.703715 + 0.256131i
\(146\) 4.11678 1.49839i 0.340707 0.124007i
\(147\) −1.77303 −0.146237
\(148\) 4.71628 + 3.84145i 0.387675 + 0.315765i
\(149\) 5.81003 0.475976 0.237988 0.971268i \(-0.423512\pi\)
0.237988 + 0.971268i \(0.423512\pi\)
\(150\) 0.528795 0.192466i 0.0431759 0.0157147i
\(151\) −0.713237 0.259597i −0.0580424 0.0211257i 0.312836 0.949807i \(-0.398721\pi\)
−0.370878 + 0.928682i \(0.620943\pi\)
\(152\) 4.60383 3.86307i 0.373420 0.313337i
\(153\) −1.64637 9.33704i −0.133101 0.754855i
\(154\) 10.1113 0.814793
\(155\) 0.117032 + 0.663724i 0.00940028 + 0.0533116i
\(156\) 1.33464 2.31166i 0.106857 0.185081i
\(157\) 2.53671 + 2.12855i 0.202451 + 0.169877i 0.738377 0.674389i \(-0.235593\pi\)
−0.535925 + 0.844265i \(0.680037\pi\)
\(158\) 4.10833 + 7.11584i 0.326842 + 0.566106i
\(159\) −3.04911 + 5.28122i −0.241811 + 0.418828i
\(160\) −0.939693 + 0.342020i −0.0742892 + 0.0270391i
\(161\) 15.0357 12.6164i 1.18498 0.994314i
\(162\) −3.12514 5.41290i −0.245534 0.425277i
\(163\) 2.02082 11.4607i 0.158283 0.897668i −0.797440 0.603399i \(-0.793813\pi\)
0.955723 0.294269i \(-0.0950762\pi\)
\(164\) 1.00913 5.72306i 0.0787998 0.446896i
\(165\) 1.36809 + 1.14796i 0.106505 + 0.0893687i
\(166\) −11.3441 4.12892i −0.880474 0.320466i
\(167\) 7.87448 + 2.86608i 0.609346 + 0.221784i 0.628217 0.778038i \(-0.283785\pi\)
−0.0188713 + 0.999822i \(0.506007\pi\)
\(168\) 1.37342 + 1.15244i 0.105962 + 0.0889126i
\(169\) 1.64968 9.35579i 0.126898 0.719676i
\(170\) 0.613555 3.47964i 0.0470575 0.266876i
\(171\) 8.06325 + 13.9660i 0.616612 + 1.06800i
\(172\) 3.07582 2.58092i 0.234529 0.196793i
\(173\) 17.7156 6.44794i 1.34689 0.490228i 0.434914 0.900472i \(-0.356779\pi\)
0.911976 + 0.410244i \(0.134556\pi\)
\(174\) −2.53727 + 4.39468i −0.192350 + 0.333160i
\(175\) 1.59301 + 2.75918i 0.120420 + 0.208574i
\(176\) −2.43115 2.03998i −0.183255 0.153769i
\(177\) 0.214358 0.371279i 0.0161121 0.0279071i
\(178\) −2.04916 11.6214i −0.153591 0.871057i
\(179\) 16.0870 1.20240 0.601199 0.799099i \(-0.294690\pi\)
0.601199 + 0.799099i \(0.294690\pi\)
\(180\) −0.465956 2.64257i −0.0347303 0.196965i
\(181\) −7.73619 + 6.49144i −0.575027 + 0.482505i −0.883310 0.468790i \(-0.844690\pi\)
0.308283 + 0.951295i \(0.400246\pi\)
\(182\) 14.2013 + 5.16884i 1.05267 + 0.383140i
\(183\) −4.44655 + 1.61841i −0.328698 + 0.119636i
\(184\) −6.16055 −0.454162
\(185\) −5.68493 + 2.16369i −0.417965 + 0.159078i
\(186\) −0.379261 −0.0278087
\(187\) 10.5373 3.83525i 0.770560 0.280461i
\(188\) −6.89394 2.50919i −0.502793 0.183002i
\(189\) −7.80563 + 6.54970i −0.567776 + 0.476420i
\(190\) 1.04360 + 5.91857i 0.0757110 + 0.429378i
\(191\) −9.50698 −0.687901 −0.343950 0.938988i \(-0.611765\pi\)
−0.343950 + 0.938988i \(0.611765\pi\)
\(192\) −0.0977173 0.554183i −0.00705214 0.0399947i
\(193\) 1.31206 2.27255i 0.0944439 0.163582i −0.814932 0.579556i \(-0.803226\pi\)
0.909376 + 0.415974i \(0.136559\pi\)
\(194\) −6.20331 5.20519i −0.445371 0.373711i
\(195\) 1.33464 + 2.31166i 0.0955755 + 0.165542i
\(196\) −1.57538 + 2.72864i −0.112527 + 0.194903i
\(197\) 10.0008 3.63998i 0.712524 0.259338i 0.0397754 0.999209i \(-0.487336\pi\)
0.672749 + 0.739871i \(0.265114\pi\)
\(198\) 6.52359 5.47394i 0.463612 0.389016i
\(199\) −3.19548 5.53473i −0.226521 0.392347i 0.730253 0.683176i \(-0.239402\pi\)
−0.956775 + 0.290830i \(0.906069\pi\)
\(200\) 0.173648 0.984808i 0.0122788 0.0696364i
\(201\) 0.684373 3.88127i 0.0482720 0.273764i
\(202\) 1.70519 + 1.43083i 0.119977 + 0.100673i
\(203\) −26.9979 9.82644i −1.89488 0.689681i
\(204\) 1.86840 + 0.680043i 0.130814 + 0.0476125i
\(205\) 4.45175 + 3.73546i 0.310924 + 0.260896i
\(206\) −0.118808 + 0.673791i −0.00827771 + 0.0469452i
\(207\) 2.87055 16.2797i 0.199517 1.13152i
\(208\) −2.37171 4.10793i −0.164449 0.284834i
\(209\) −14.6109 + 12.2600i −1.01066 + 0.848043i
\(210\) −1.68475 + 0.613200i −0.116259 + 0.0423148i
\(211\) 4.12493 7.14459i 0.283972 0.491854i −0.688387 0.725343i \(-0.741681\pi\)
0.972359 + 0.233489i \(0.0750144\pi\)
\(212\) 5.41842 + 9.38497i 0.372138 + 0.644563i
\(213\) −2.92654 2.45566i −0.200523 0.168259i
\(214\) 9.89240 17.1341i 0.676231 1.17127i
\(215\) 0.697232 + 3.95420i 0.0475509 + 0.269674i
\(216\) 3.19819 0.217609
\(217\) −0.372869 2.11464i −0.0253120 0.143551i
\(218\) 15.5603 13.0566i 1.05387 0.884306i
\(219\) −2.31664 0.843190i −0.156544 0.0569775i
\(220\) 2.98225 1.08545i 0.201063 0.0731811i
\(221\) 16.7601 1.12740
\(222\) −0.643562 3.36192i −0.0431930 0.225637i
\(223\) −14.6189 −0.978955 −0.489478 0.872016i \(-0.662812\pi\)
−0.489478 + 0.872016i \(0.662812\pi\)
\(224\) 2.99388 1.08968i 0.200037 0.0728076i
\(225\) 2.52151 + 0.917754i 0.168101 + 0.0611836i
\(226\) −12.9474 + 10.8641i −0.861245 + 0.722671i
\(227\) −1.52375 8.64162i −0.101135 0.573565i −0.992694 0.120660i \(-0.961499\pi\)
0.891559 0.452905i \(-0.149612\pi\)
\(228\) −3.38195 −0.223975
\(229\) −3.65463 20.7264i −0.241505 1.36964i −0.828472 0.560030i \(-0.810789\pi\)
0.586967 0.809611i \(-0.300322\pi\)
\(230\) 3.08028 5.33520i 0.203107 0.351792i
\(231\) −4.35876 3.65743i −0.286785 0.240641i
\(232\) 4.50884 + 7.80955i 0.296020 + 0.512722i
\(233\) −5.78323 + 10.0168i −0.378872 + 0.656226i −0.990898 0.134612i \(-0.957021\pi\)
0.612026 + 0.790837i \(0.290355\pi\)
\(234\) 11.9606 4.35330i 0.781889 0.284584i
\(235\) 5.61999 4.71574i 0.366608 0.307621i
\(236\) −0.380924 0.659780i −0.0247961 0.0429480i
\(237\) 0.802911 4.55353i 0.0521547 0.295784i
\(238\) −1.95480 + 11.0862i −0.126711 + 0.718614i
\(239\) −8.99786 7.55010i −0.582023 0.488376i 0.303588 0.952804i \(-0.401816\pi\)
−0.885611 + 0.464428i \(0.846260\pi\)
\(240\) 0.528795 + 0.192466i 0.0341336 + 0.0124236i
\(241\) 24.8126 + 9.03106i 1.59832 + 0.581741i 0.979083 0.203462i \(-0.0652192\pi\)
0.619238 + 0.785203i \(0.287441\pi\)
\(242\) −0.710874 0.596494i −0.0456967 0.0383441i
\(243\) −2.27684 + 12.9126i −0.146059 + 0.828344i
\(244\) −1.46018 + 8.28108i −0.0934783 + 0.530142i
\(245\) −1.57538 2.72864i −0.100647 0.174326i
\(246\) −2.50514 + 2.10206i −0.159722 + 0.134023i
\(247\) −26.7882 + 9.75011i −1.70449 + 0.620384i
\(248\) −0.336982 + 0.583669i −0.0213984 + 0.0370630i
\(249\) 3.39669 + 5.88325i 0.215257 + 0.372836i
\(250\) 0.766044 + 0.642788i 0.0484489 + 0.0406535i
\(251\) 2.00625 3.47492i 0.126633 0.219335i −0.795737 0.605642i \(-0.792916\pi\)
0.922370 + 0.386307i \(0.126250\pi\)
\(252\) 1.48455 + 8.41929i 0.0935177 + 0.530365i
\(253\) 19.5514 1.22919
\(254\) 2.10224 + 11.9224i 0.131906 + 0.748077i
\(255\) −1.52314 + 1.27806i −0.0953824 + 0.0800354i
\(256\) −0.939693 0.342020i −0.0587308 0.0213763i
\(257\) −4.83384 + 1.75938i −0.301527 + 0.109747i −0.488353 0.872646i \(-0.662402\pi\)
0.186826 + 0.982393i \(0.440180\pi\)
\(258\) −2.25948 −0.140669
\(259\) 18.1123 6.89357i 1.12545 0.428345i
\(260\) 4.74343 0.294175
\(261\) −22.7382 + 8.27602i −1.40746 + 0.512273i
\(262\) −8.94531 3.25583i −0.552643 0.201146i
\(263\) −24.3139 + 20.4018i −1.49926 + 1.25803i −0.617271 + 0.786751i \(0.711762\pi\)
−0.881986 + 0.471275i \(0.843794\pi\)
\(264\) 0.310120 + 1.75878i 0.0190866 + 0.108245i
\(265\) −10.8368 −0.665701
\(266\) −3.32495 18.8567i −0.203866 1.15618i
\(267\) −3.32029 + 5.75092i −0.203199 + 0.351950i
\(268\) −5.36507 4.50183i −0.327724 0.274993i
\(269\) 14.5891 + 25.2690i 0.889510 + 1.54068i 0.840455 + 0.541881i \(0.182288\pi\)
0.0490551 + 0.998796i \(0.484379\pi\)
\(270\) −1.59910 + 2.76972i −0.0973179 + 0.168560i
\(271\) 27.8486 10.1361i 1.69168 0.615722i 0.696846 0.717221i \(-0.254586\pi\)
0.994836 + 0.101499i \(0.0323638\pi\)
\(272\) 2.70668 2.27118i 0.164117 0.137710i
\(273\) −4.25219 7.36502i −0.257354 0.445751i
\(274\) 1.90643 10.8119i 0.115172 0.653171i
\(275\) −0.551098 + 3.12543i −0.0332324 + 0.188471i
\(276\) 2.65568 + 2.22838i 0.159853 + 0.134133i
\(277\) 12.4238 + 4.52188i 0.746472 + 0.271693i 0.687120 0.726544i \(-0.258875\pi\)
0.0593514 + 0.998237i \(0.481097\pi\)
\(278\) −17.1309 6.23512i −1.02744 0.373958i
\(279\) −1.38537 1.16246i −0.0829397 0.0695947i
\(280\) −0.553248 + 3.13762i −0.0330629 + 0.187509i
\(281\) −4.00787 + 22.7298i −0.239090 + 1.35595i 0.594738 + 0.803920i \(0.297256\pi\)
−0.833827 + 0.552025i \(0.813855\pi\)
\(282\) 2.06421 + 3.57531i 0.122922 + 0.212907i
\(283\) 0.134985 0.113266i 0.00802400 0.00673294i −0.638767 0.769400i \(-0.720555\pi\)
0.646791 + 0.762667i \(0.276111\pi\)
\(284\) −6.37947 + 2.32194i −0.378552 + 0.137782i
\(285\) 1.69097 2.92885i 0.100165 0.173490i
\(286\) 7.52698 + 13.0371i 0.445080 + 0.770900i
\(287\) −14.1834 11.9013i −0.837219 0.702510i
\(288\) 1.34167 2.32383i 0.0790585 0.136933i
\(289\) −0.784132 4.44703i −0.0461254 0.261590i
\(290\) −9.01769 −0.529537
\(291\) 0.791299 + 4.48768i 0.0463868 + 0.263073i
\(292\) −3.35603 + 2.81605i −0.196397 + 0.164797i
\(293\) 20.0608 + 7.30152i 1.17196 + 0.426559i 0.853356 0.521328i \(-0.174563\pi\)
0.318606 + 0.947887i \(0.396785\pi\)
\(294\) 1.66610 0.606412i 0.0971692 0.0353667i
\(295\) 0.761849 0.0443565
\(296\) −5.74570 1.99672i −0.333962 0.116057i
\(297\) −10.1499 −0.588958
\(298\) −5.45964 + 1.98715i −0.316268 + 0.115112i
\(299\) 27.4598 + 9.99456i 1.58804 + 0.578000i
\(300\) −0.431077 + 0.361717i −0.0248883 + 0.0208837i
\(301\) −2.22140 12.5982i −0.128039 0.726147i
\(302\) 0.759011 0.0436762
\(303\) −0.217516 1.23360i −0.0124960 0.0708682i
\(304\) −3.00494 + 5.20470i −0.172345 + 0.298510i
\(305\) −6.44154 5.40509i −0.368841 0.309495i
\(306\) 4.74054 + 8.21086i 0.270999 + 0.469383i
\(307\) −11.2614 + 19.5053i −0.642721 + 1.11323i 0.342102 + 0.939663i \(0.388861\pi\)
−0.984823 + 0.173562i \(0.944472\pi\)
\(308\) −9.50153 + 3.45827i −0.541400 + 0.197053i
\(309\) 0.294937 0.247481i 0.0167784 0.0140787i
\(310\) −0.336982 0.583669i −0.0191393 0.0331502i
\(311\) 1.83992 10.4347i 0.104333 0.591699i −0.887152 0.461477i \(-0.847320\pi\)
0.991485 0.130223i \(-0.0415692\pi\)
\(312\) −0.463515 + 2.62873i −0.0262414 + 0.148822i
\(313\) 0.597616 + 0.501459i 0.0337793 + 0.0283442i 0.659521 0.751686i \(-0.270759\pi\)
−0.625742 + 0.780030i \(0.715204\pi\)
\(314\) −3.11173 1.13258i −0.175605 0.0639150i
\(315\) −8.03359 2.92399i −0.452641 0.164748i
\(316\) −6.29433 5.28157i −0.354084 0.297112i
\(317\) −3.22905 + 18.3128i −0.181361 + 1.02855i 0.749180 + 0.662366i \(0.230448\pi\)
−0.930542 + 0.366186i \(0.880664\pi\)
\(318\) 1.05895 6.00558i 0.0593828 0.336776i
\(319\) −14.3095 24.7847i −0.801176 1.38768i
\(320\) 0.766044 0.642788i 0.0428232 0.0359329i
\(321\) −10.4621 + 3.80789i −0.583938 + 0.212536i
\(322\) −9.81384 + 16.9981i −0.546904 + 0.947265i
\(323\) −10.6174 18.3899i −0.590768 1.02324i
\(324\) 4.78799 + 4.01760i 0.265999 + 0.223200i
\(325\) −2.37171 + 4.10793i −0.131559 + 0.227867i
\(326\) 2.02082 + 11.4607i 0.111923 + 0.634747i
\(327\) −11.4305 −0.632107
\(328\) 1.00913 + 5.72306i 0.0557199 + 0.316003i
\(329\) −17.9054 + 15.0245i −0.987159 + 0.828325i
\(330\) −1.67821 0.610817i −0.0923822 0.0336244i
\(331\) 8.85618 3.22339i 0.486780 0.177173i −0.0869587 0.996212i \(-0.527715\pi\)
0.573738 + 0.819039i \(0.305493\pi\)
\(332\) 12.0722 0.662546
\(333\) 7.95372 14.2530i 0.435861 0.781061i
\(334\) −8.37985 −0.458525
\(335\) 6.58123 2.39537i 0.359571 0.130873i
\(336\) −1.68475 0.613200i −0.0919109 0.0334528i
\(337\) 3.81134 3.19809i 0.207617 0.174211i −0.533050 0.846084i \(-0.678954\pi\)
0.740667 + 0.671873i \(0.234510\pi\)
\(338\) 1.64968 + 9.35579i 0.0897307 + 0.508888i
\(339\) 9.51105 0.516569
\(340\) 0.613555 + 3.47964i 0.0332747 + 0.188710i
\(341\) 1.06946 1.85236i 0.0579145 0.100311i
\(342\) −12.3536 10.3659i −0.668007 0.560524i
\(343\) −6.13189 10.6207i −0.331091 0.573466i
\(344\) −2.00760 + 3.47727i −0.108243 + 0.187482i
\(345\) −3.25767 + 1.18569i −0.175387 + 0.0638356i
\(346\) −14.4419 + 12.1182i −0.776400 + 0.651477i
\(347\) 14.0536 + 24.3416i 0.754437 + 1.30672i 0.945654 + 0.325175i \(0.105423\pi\)
−0.191217 + 0.981548i \(0.561243\pi\)
\(348\) 0.881184 4.99744i 0.0472364 0.267891i
\(349\) 2.61460 14.8281i 0.139956 0.793732i −0.831323 0.555790i \(-0.812416\pi\)
0.971279 0.237942i \(-0.0764729\pi\)
\(350\) −2.44064 2.04794i −0.130458 0.109467i
\(351\) −14.2555 5.18858i −0.760903 0.276946i
\(352\) 2.98225 + 1.08545i 0.158954 + 0.0578547i
\(353\) −16.4953 13.8412i −0.877958 0.736694i 0.0878005 0.996138i \(-0.472016\pi\)
−0.965758 + 0.259444i \(0.916461\pi\)
\(354\) −0.0744458 + 0.422203i −0.00395675 + 0.0224398i
\(355\) 1.17888 6.68575i 0.0625684 0.354843i
\(356\) 5.90031 + 10.2196i 0.312716 + 0.541640i
\(357\) 4.85275 4.07194i 0.256835 0.215510i
\(358\) −15.1168 + 5.50207i −0.798949 + 0.290794i
\(359\) −11.6634 + 20.2016i −0.615572 + 1.06620i 0.374712 + 0.927141i \(0.377742\pi\)
−0.990284 + 0.139061i \(0.955592\pi\)
\(360\) 1.34167 + 2.32383i 0.0707120 + 0.122477i
\(361\) 13.1136 + 11.0036i 0.690189 + 0.579137i
\(362\) 5.04944 8.74589i 0.265393 0.459674i
\(363\) 0.0906797 + 0.514270i 0.00475945 + 0.0269922i
\(364\) −15.1127 −0.792120
\(365\) −0.760751 4.31443i −0.0398195 0.225828i
\(366\) 3.62486 3.04162i 0.189474 0.158988i
\(367\) 22.3500 + 8.13474i 1.16666 + 0.424630i 0.851473 0.524399i \(-0.175710\pi\)
0.315189 + 0.949029i \(0.397932\pi\)
\(368\) 5.78903 2.10703i 0.301774 0.109837i
\(369\) −15.5938 −0.811780
\(370\) 4.60206 3.97756i 0.239250 0.206784i
\(371\) 34.5264 1.79252
\(372\) 0.356388 0.129715i 0.0184779 0.00672540i
\(373\) −23.6925 8.62338i −1.22675 0.446502i −0.354269 0.935144i \(-0.615270\pi\)
−0.872484 + 0.488642i \(0.837492\pi\)
\(374\) −8.59005 + 7.20790i −0.444181 + 0.372712i
\(375\) −0.0977173 0.554183i −0.00504610 0.0286179i
\(376\) 7.33638 0.378345
\(377\) −7.42776 42.1249i −0.382549 2.16954i
\(378\) 5.09476 8.82438i 0.262046 0.453877i
\(379\) 8.20272 + 6.88290i 0.421345 + 0.353551i 0.828675 0.559731i \(-0.189095\pi\)
−0.407329 + 0.913281i \(0.633540\pi\)
\(380\) −3.00494 5.20470i −0.154150 0.266996i
\(381\) 3.40630 5.89989i 0.174510 0.302261i
\(382\) 8.93364 3.25158i 0.457085 0.166365i
\(383\) 4.34423 3.64524i 0.221980 0.186263i −0.525015 0.851093i \(-0.675940\pi\)
0.746995 + 0.664830i \(0.231496\pi\)
\(384\) 0.281366 + 0.487340i 0.0143584 + 0.0248695i
\(385\) 1.75581 9.95770i 0.0894844 0.507491i
\(386\) −0.455672 + 2.58425i −0.0231931 + 0.131535i
\(387\) −8.25346 6.92547i −0.419547 0.352042i
\(388\) 7.60948 + 2.76962i 0.386313 + 0.140606i
\(389\) −10.4964 3.82039i −0.532191 0.193702i 0.0619256 0.998081i \(-0.480276\pi\)
−0.594116 + 0.804379i \(0.702498\pi\)
\(390\) −2.04479 1.71578i −0.103542 0.0868818i
\(391\) −3.77984 + 21.4365i −0.191155 + 1.08409i
\(392\) 0.547123 3.10289i 0.0276339 0.156720i
\(393\) 2.67843 + 4.63918i 0.135109 + 0.234016i
\(394\) −8.15269 + 6.84092i −0.410726 + 0.344640i
\(395\) 7.72114 2.81027i 0.388493 0.141400i
\(396\) −4.25797 + 7.37503i −0.213971 + 0.370609i
\(397\) 2.93638 + 5.08596i 0.147373 + 0.255257i 0.930256 0.366912i \(-0.119585\pi\)
−0.782883 + 0.622169i \(0.786252\pi\)
\(398\) 4.89576 + 4.10803i 0.245402 + 0.205917i
\(399\) −5.38748 + 9.33139i −0.269712 + 0.467154i
\(400\) 0.173648 + 0.984808i 0.00868241 + 0.0492404i
\(401\) 7.59493 0.379273 0.189636 0.981854i \(-0.439269\pi\)
0.189636 + 0.981854i \(0.439269\pi\)
\(402\) 0.684373 + 3.88127i 0.0341334 + 0.193580i
\(403\) 2.44897 2.05493i 0.121992 0.102363i
\(404\) −2.09173 0.761328i −0.104068 0.0378775i
\(405\) −5.87334 + 2.13772i −0.291848 + 0.106224i
\(406\) 28.7306 1.42587
\(407\) 18.2348 + 6.33689i 0.903866 + 0.314108i
\(408\) −1.98831 −0.0984361
\(409\) 13.1079 4.77089i 0.648144 0.235905i 0.00303492 0.999995i \(-0.499034\pi\)
0.645110 + 0.764090i \(0.276812\pi\)
\(410\) −5.46088 1.98760i −0.269694 0.0981604i
\(411\) −4.73267 + 3.97118i −0.233445 + 0.195884i
\(412\) −0.118808 0.673791i −0.00585323 0.0331953i
\(413\) −2.42727 −0.119438
\(414\) 2.87055 + 16.2797i 0.141080 + 0.800102i
\(415\) −6.03608 + 10.4548i −0.296300 + 0.513206i
\(416\) 3.63368 + 3.04902i 0.178156 + 0.149490i
\(417\) 5.12938 + 8.88434i 0.251187 + 0.435068i
\(418\) 9.53660 16.5179i 0.466450 0.807916i
\(419\) −6.39031 + 2.32588i −0.312187 + 0.113627i −0.493362 0.869824i \(-0.664232\pi\)
0.181175 + 0.983451i \(0.442010\pi\)
\(420\) 1.37342 1.15244i 0.0670162 0.0562333i
\(421\) 16.1243 + 27.9280i 0.785849 + 1.36113i 0.928491 + 0.371355i \(0.121107\pi\)
−0.142642 + 0.989774i \(0.545560\pi\)
\(422\) −1.43257 + 8.12453i −0.0697366 + 0.395496i
\(423\) −3.41843 + 19.3869i −0.166210 + 0.942623i
\(424\) −8.30150 6.96578i −0.403156 0.338288i
\(425\) −3.32024 1.20847i −0.161055 0.0586193i
\(426\) 3.58993 + 1.30663i 0.173933 + 0.0633063i
\(427\) 20.5229 + 17.2208i 0.993173 + 0.833371i
\(428\) −3.43560 + 19.4842i −0.166066 + 0.941806i
\(429\) 1.47103 8.34264i 0.0710221 0.402786i
\(430\) −2.00760 3.47727i −0.0968151 0.167689i
\(431\) −4.18063 + 3.50797i −0.201374 + 0.168973i −0.737898 0.674912i \(-0.764181\pi\)
0.536524 + 0.843885i \(0.319737\pi\)
\(432\) −3.00532 + 1.09385i −0.144593 + 0.0526277i
\(433\) 7.18721 12.4486i 0.345395 0.598243i −0.640030 0.768350i \(-0.721078\pi\)
0.985426 + 0.170107i \(0.0544114\pi\)
\(434\) 1.07363 + 1.85959i 0.0515360 + 0.0892630i
\(435\) 3.88732 + 3.26185i 0.186383 + 0.156394i
\(436\) −10.1562 + 17.5911i −0.486396 + 0.842462i
\(437\) −6.42917 36.4617i −0.307549 1.74420i
\(438\) 2.46532 0.117798
\(439\) −4.77357 27.0723i −0.227830 1.29209i −0.857200 0.514984i \(-0.827798\pi\)
0.629370 0.777106i \(-0.283313\pi\)
\(440\) −2.43115 + 2.03998i −0.115901 + 0.0972522i
\(441\) 7.94466 + 2.89162i 0.378317 + 0.137696i
\(442\) −15.7493 + 5.73228i −0.749118 + 0.272657i
\(443\) −21.2054 −1.00750 −0.503750 0.863850i \(-0.668047\pi\)
−0.503750 + 0.863850i \(0.668047\pi\)
\(444\) 1.75459 + 2.93906i 0.0832694 + 0.139482i
\(445\) −11.8006 −0.559403
\(446\) 13.7373 4.99996i 0.650479 0.236755i
\(447\) 3.07231 + 1.11823i 0.145315 + 0.0528905i
\(448\) −2.44064 + 2.04794i −0.115309 + 0.0967560i
\(449\) −0.830899 4.71226i −0.0392125 0.222385i 0.958904 0.283730i \(-0.0915721\pi\)
−0.998117 + 0.0613451i \(0.980461\pi\)
\(450\) −2.68333 −0.126494
\(451\) −3.20262 18.1630i −0.150805 0.855260i
\(452\) 8.45079 14.6372i 0.397492 0.688476i
\(453\) −0.327193 0.274547i −0.0153728 0.0128993i
\(454\) 4.38747 + 7.59932i 0.205914 + 0.356654i
\(455\) 7.55634 13.0880i 0.354247 0.613573i
\(456\) 3.17799 1.15669i 0.148823 0.0541671i
\(457\) 6.92025 5.80678i 0.323716 0.271630i −0.466418 0.884565i \(-0.654456\pi\)
0.790133 + 0.612935i \(0.210011\pi\)
\(458\) 10.5231 + 18.2265i 0.491711 + 0.851669i
\(459\) 1.96227 11.1286i 0.0915907 0.519437i
\(460\) −1.06977 + 6.06696i −0.0498782 + 0.282873i
\(461\) −27.4929 23.0693i −1.28047 1.07444i −0.993179 0.116601i \(-0.962800\pi\)
−0.287293 0.957843i \(-0.592755\pi\)
\(462\) 5.34681 + 1.94608i 0.248756 + 0.0905398i
\(463\) −27.1325 9.87541i −1.26095 0.458949i −0.376864 0.926269i \(-0.622998\pi\)
−0.884089 + 0.467319i \(0.845220\pi\)
\(464\) −6.90795 5.79646i −0.320693 0.269094i
\(465\) −0.0658579 + 0.373499i −0.00305409 + 0.0173206i
\(466\) 2.00849 11.3907i 0.0930417 0.527666i
\(467\) 0.661683 + 1.14607i 0.0306190 + 0.0530337i 0.880929 0.473249i \(-0.156919\pi\)
−0.850310 + 0.526282i \(0.823585\pi\)
\(468\) −9.75037 + 8.18153i −0.450711 + 0.378191i
\(469\) −20.9680 + 7.63172i −0.968211 + 0.352400i
\(470\) −3.66819 + 6.35349i −0.169201 + 0.293065i
\(471\) 0.931724 + 1.61379i 0.0429316 + 0.0743597i
\(472\) 0.583610 + 0.489707i 0.0268628 + 0.0225406i
\(473\) 6.37141 11.0356i 0.292958 0.507418i
\(474\) 0.802911 + 4.55353i 0.0368789 + 0.209151i
\(475\) 6.00987 0.275752
\(476\) −1.95480 11.0862i −0.0895982 0.508137i
\(477\) 22.2757 18.6915i 1.01993 0.855826i
\(478\) 11.0375 + 4.01733i 0.504844 + 0.183748i
\(479\) 14.5189 5.28445i 0.663386 0.241453i 0.0116883 0.999932i \(-0.496279\pi\)
0.651697 + 0.758479i \(0.274057\pi\)
\(480\) −0.562732 −0.0256851
\(481\) 22.3713 + 18.2217i 1.02004 + 0.830836i
\(482\) −26.4050 −1.20272
\(483\) 10.3790 3.77765i 0.472262 0.171889i
\(484\) 0.872016 + 0.317388i 0.0396371 + 0.0144267i
\(485\) −6.20331 + 5.20519i −0.281678 + 0.236356i
\(486\) −2.27684 12.9126i −0.103280 0.585728i
\(487\) 7.71991 0.349823 0.174911 0.984584i \(-0.444036\pi\)
0.174911 + 0.984584i \(0.444036\pi\)
\(488\) −1.46018 8.28108i −0.0660992 0.374867i
\(489\) 3.27438 5.67140i 0.148073 0.256469i
\(490\) 2.41362 + 2.02527i 0.109036 + 0.0914923i
\(491\) 14.0065 + 24.2599i 0.632103 + 1.09484i 0.987121 + 0.159976i \(0.0511416\pi\)
−0.355018 + 0.934860i \(0.615525\pi\)
\(492\) 1.63511 2.83210i 0.0737166 0.127681i
\(493\) 29.9409 10.8976i 1.34847 0.490802i
\(494\) 21.8379 18.3242i 0.982535 0.824445i
\(495\) −4.25797 7.37503i −0.191382 0.331483i
\(496\) 0.117032 0.663724i 0.00525491 0.0298021i
\(497\) −3.75594 + 21.3010i −0.168477 + 0.955479i
\(498\) −5.20404 4.36670i −0.233198 0.195677i
\(499\) 33.2363 + 12.0970i 1.48786 + 0.541537i 0.952885 0.303332i \(-0.0980990\pi\)
0.534974 + 0.844868i \(0.320321\pi\)
\(500\) −0.939693 0.342020i −0.0420243 0.0152956i
\(501\) 3.61236 + 3.03113i 0.161388 + 0.135421i
\(502\) −0.696762 + 3.95154i −0.0310980 + 0.176366i
\(503\) 0.811504 4.60227i 0.0361832 0.205205i −0.961357 0.275306i \(-0.911221\pi\)
0.997540 + 0.0701006i \(0.0223320\pi\)
\(504\) −4.27458 7.40380i −0.190405 0.329791i
\(505\) 1.70519 1.43083i 0.0758802 0.0636710i
\(506\) −18.3723 + 6.68697i −0.816749 + 0.297272i
\(507\) 2.67301 4.62979i 0.118713 0.205616i
\(508\) −6.05316 10.4844i −0.268565 0.465169i
\(509\) −25.0946 21.0569i −1.11230 0.933330i −0.114110 0.993468i \(-0.536402\pi\)
−0.998190 + 0.0601376i \(0.980846\pi\)
\(510\) 0.994156 1.72193i 0.0440220 0.0762483i
\(511\) 2.42377 + 13.7459i 0.107221 + 0.608082i
\(512\) 1.00000 0.0441942
\(513\) 3.33764 + 18.9287i 0.147361 + 0.835723i
\(514\) 3.94059 3.30654i 0.173812 0.145845i
\(515\) 0.642924 + 0.234005i 0.0283306 + 0.0103115i
\(516\) 2.12322 0.772788i 0.0934694 0.0340201i
\(517\) −23.2831 −1.02399
\(518\) −14.6623 + 12.6726i −0.644224 + 0.556803i
\(519\) 10.6089 0.465680
\(520\) −4.45737 + 1.62235i −0.195468 + 0.0711447i
\(521\) −31.1001 11.3195i −1.36252 0.495917i −0.445688 0.895188i \(-0.647041\pi\)
−0.916833 + 0.399271i \(0.869263\pi\)
\(522\) 18.5363 15.5538i 0.811313 0.680772i
\(523\) 4.33496 + 24.5848i 0.189554 + 1.07502i 0.919963 + 0.392006i \(0.128219\pi\)
−0.730408 + 0.683011i \(0.760670\pi\)
\(524\) 9.51940 0.415857
\(525\) 0.311330 + 1.76564i 0.0135876 + 0.0770588i
\(526\) 15.8697 27.4872i 0.691954 1.19850i
\(527\) 1.82420 + 1.53069i 0.0794636 + 0.0666779i
\(528\) −0.892955 1.54664i −0.0388609 0.0673090i
\(529\) −7.47621 + 12.9492i −0.325052 + 0.563007i
\(530\) 10.1833 3.70642i 0.442334 0.160996i
\(531\) −1.56602 + 1.31405i −0.0679595 + 0.0570248i
\(532\) 9.57380 + 16.5823i 0.415077 + 0.718935i
\(533\) 4.78673 27.1469i 0.207337 1.17586i
\(534\) 1.15313 6.53970i 0.0499006 0.283001i
\(535\) −15.1560 12.7174i −0.655253 0.549822i
\(536\) 6.58123 + 2.39537i 0.284266 + 0.103464i
\(537\) 8.50671 + 3.09619i 0.367092 + 0.133610i
\(538\) −22.3517 18.7553i −0.963651 0.808600i
\(539\) −1.73638 + 9.84747i −0.0747910 + 0.424161i
\(540\) 0.555360 3.14960i 0.0238989 0.135537i
\(541\) 11.0639 + 19.1632i 0.475673 + 0.823890i 0.999612 0.0278661i \(-0.00887120\pi\)
−0.523939 + 0.851756i \(0.675538\pi\)
\(542\) −22.7024 + 19.0496i −0.975151 + 0.818249i
\(543\) −5.34024 + 1.94369i −0.229171 + 0.0834116i
\(544\) −1.76666 + 3.05995i −0.0757450 + 0.131194i
\(545\) −10.1562 17.5911i −0.435046 0.753521i
\(546\) 6.51474 + 5.46651i 0.278805 + 0.233945i
\(547\) −14.5447 + 25.1922i −0.621887 + 1.07714i 0.367247 + 0.930124i \(0.380301\pi\)
−0.989134 + 0.147017i \(0.953033\pi\)
\(548\) 1.90643 + 10.8119i 0.0814386 + 0.461862i
\(549\) 22.5637 0.962995
\(550\) −0.551098 3.12543i −0.0234989 0.133269i
\(551\) −41.5159 + 34.8360i −1.76864 + 1.48406i
\(552\) −3.25767 1.18569i −0.138656 0.0504665i
\(553\) −24.5998 + 8.95358i −1.04609 + 0.380745i
\(554\) −13.2211 −0.561711
\(555\) −3.42260 + 0.0499935i −0.145281 + 0.00212210i
\(556\) 18.2303 0.773136
\(557\) 13.5863 4.94502i 0.575672 0.209527i −0.0377441 0.999287i \(-0.512017\pi\)
0.613416 + 0.789760i \(0.289795\pi\)
\(558\) 1.69940 + 0.618532i 0.0719415 + 0.0261846i
\(559\) 14.5899 12.2424i 0.617089 0.517799i
\(560\) −0.553248 3.13762i −0.0233790 0.132589i
\(561\) 6.31020 0.266417
\(562\) −4.00787 22.7298i −0.169062 0.958798i
\(563\) −0.752545 + 1.30345i −0.0317160 + 0.0549337i −0.881448 0.472282i \(-0.843431\pi\)
0.849732 + 0.527215i \(0.176764\pi\)
\(564\) −3.16255 2.65369i −0.133167 0.111741i
\(565\) 8.45079 + 14.6372i 0.355527 + 0.615791i
\(566\) −0.0881049 + 0.152602i −0.00370333 + 0.00641435i
\(567\) 18.7126 6.81083i 0.785855 0.286028i
\(568\) 5.20059 4.36381i 0.218212 0.183102i
\(569\) 1.94587 + 3.37034i 0.0815750 + 0.141292i 0.903927 0.427688i \(-0.140672\pi\)
−0.822352 + 0.568980i \(0.807338\pi\)
\(570\) −0.587269 + 3.33057i −0.0245980 + 0.139502i
\(571\) 6.82532 38.7083i 0.285631 1.61989i −0.417392 0.908727i \(-0.637056\pi\)
0.703023 0.711167i \(-0.251833\pi\)
\(572\) −11.5320 9.67650i −0.482177 0.404595i
\(573\) −5.02724 1.82977i −0.210016 0.0764396i
\(574\) 17.3985 + 6.33254i 0.726199 + 0.264315i
\(575\) −4.71926 3.95993i −0.196807 0.165140i
\(576\) −0.465956 + 2.64257i −0.0194148 + 0.110107i
\(577\) 3.13045 17.7537i 0.130322 0.739095i −0.847681 0.530506i \(-0.822002\pi\)
0.978003 0.208589i \(-0.0668871\pi\)
\(578\) 2.25782 + 3.91066i 0.0939129 + 0.162662i
\(579\) 1.13120 0.949186i 0.0470109 0.0394468i
\(580\) 8.47385 3.08423i 0.351858 0.128066i
\(581\) 19.2311 33.3092i 0.797841 1.38190i
\(582\) −2.27846 3.94640i −0.0944450 0.163584i
\(583\) 26.3460 + 22.1069i 1.09114 + 0.915575i
\(584\) 2.19049 3.79405i 0.0906433 0.156999i
\(585\) −2.21023 12.5348i −0.0913817 0.518251i
\(586\) −21.3482 −0.881886
\(587\) 3.11790 + 17.6825i 0.128690 + 0.729835i 0.979048 + 0.203631i \(0.0652742\pi\)
−0.850358 + 0.526204i \(0.823615\pi\)
\(588\) −1.35822 + 1.13968i −0.0560121 + 0.0469997i
\(589\) −3.80616 1.38533i −0.156830 0.0570815i
\(590\) −0.715904 + 0.260568i −0.0294733 + 0.0107274i
\(591\) 5.98892 0.246351
\(592\) 6.08211 0.0888407i 0.249973 0.00365133i
\(593\) −4.67650 −0.192041 −0.0960205 0.995379i \(-0.530611\pi\)
−0.0960205 + 0.995379i \(0.530611\pi\)
\(594\) 9.53781 3.47148i 0.391341 0.142436i
\(595\) 10.5784 + 3.85021i 0.433670 + 0.157843i
\(596\) 4.45074 3.73461i 0.182309 0.152976i
\(597\) −0.624507 3.54176i −0.0255594 0.144954i
\(598\) −29.2221 −1.19498
\(599\) −1.26147 7.15413i −0.0515421 0.292310i 0.948131 0.317880i \(-0.102971\pi\)
−0.999673 + 0.0255703i \(0.991860\pi\)
\(600\) 0.281366 0.487340i 0.0114867 0.0198956i
\(601\) 5.15286 + 4.32376i 0.210190 + 0.176370i 0.741805 0.670616i \(-0.233970\pi\)
−0.531615 + 0.846986i \(0.678415\pi\)
\(602\) 6.39627 + 11.0787i 0.260692 + 0.451532i
\(603\) −9.39650 + 16.2752i −0.382655 + 0.662778i
\(604\) −0.713237 + 0.259597i −0.0290212 + 0.0105629i
\(605\) −0.710874 + 0.596494i −0.0289011 + 0.0242509i
\(606\) 0.626313 + 1.08481i 0.0254422 + 0.0440672i
\(607\) −3.78274 + 21.4530i −0.153537 + 0.870750i 0.806575 + 0.591132i \(0.201319\pi\)
−0.960111 + 0.279618i \(0.909792\pi\)
\(608\) 1.04360 5.91857i 0.0423237 0.240030i
\(609\) −12.3851 10.3923i −0.501870 0.421119i
\(610\) 7.90172 + 2.87599i 0.319931 + 0.116445i
\(611\) −32.7009 11.9022i −1.32294 0.481510i
\(612\) −7.26293 6.09432i −0.293586 0.246348i
\(613\) 2.75313 15.6138i 0.111198 0.630635i −0.877365 0.479824i \(-0.840701\pi\)
0.988563 0.150811i \(-0.0481884\pi\)
\(614\) 3.91104 22.1806i 0.157837 0.895136i
\(615\) 1.63511 + 2.83210i 0.0659342 + 0.114201i
\(616\) 7.74571 6.49943i 0.312084 0.261869i
\(617\) 11.5123 4.19014i 0.463469 0.168689i −0.0997228 0.995015i \(-0.531796\pi\)
0.563191 + 0.826326i \(0.309573\pi\)
\(618\) −0.192506 + 0.333431i −0.00774374 + 0.0134126i
\(619\) −12.9787 22.4798i −0.521659 0.903540i −0.999683 0.0251932i \(-0.991980\pi\)
0.478023 0.878347i \(-0.341353\pi\)
\(620\) 0.516286 + 0.433215i 0.0207345 + 0.0173983i
\(621\) 9.85131 17.0630i 0.395320 0.684714i
\(622\) 1.83992 + 10.4347i 0.0737743 + 0.418395i
\(623\) 37.5971 1.50630
\(624\) −0.463515 2.62873i −0.0185555 0.105233i
\(625\) 0.766044 0.642788i 0.0306418 0.0257115i
\(626\) −0.733085 0.266821i −0.0293000 0.0106643i
\(627\) −10.0858 + 3.67093i −0.402788 + 0.146603i
\(628\) 3.31143 0.132141
\(629\) −10.4732 + 18.7679i −0.417593 + 0.748325i
\(630\) 8.54917 0.340607
\(631\) −27.9453 + 10.1712i −1.11248 + 0.404911i −0.831904 0.554920i \(-0.812749\pi\)
−0.280579 + 0.959831i \(0.590527\pi\)
\(632\) 7.72114 + 2.81027i 0.307131 + 0.111786i
\(633\) 3.55633 2.98412i 0.141351 0.118608i
\(634\) −3.22905 18.3128i −0.128242 0.727296i
\(635\) 12.1063 0.480424
\(636\) 1.05895 + 6.00558i 0.0419900 + 0.238137i
\(637\) −7.47270 + 12.9431i −0.296079 + 0.512824i
\(638\) 21.9234 + 18.3959i 0.867955 + 0.728301i
\(639\) 9.10843 + 15.7763i 0.360324 + 0.624099i
\(640\) −0.500000 + 0.866025i −0.0197642 + 0.0342327i
\(641\) −10.3230 + 3.75725i −0.407732 + 0.148402i −0.537740 0.843111i \(-0.680722\pi\)
0.130008 + 0.991513i \(0.458500\pi\)
\(642\) 8.52878 7.15650i 0.336604 0.282445i
\(643\) −0.377740 0.654266i −0.0148966 0.0258017i 0.858481 0.512845i \(-0.171409\pi\)
−0.873378 + 0.487044i \(0.838075\pi\)
\(644\) 3.40831 19.3295i 0.134306 0.761689i
\(645\) −0.392355 + 2.22515i −0.0154490 + 0.0876154i
\(646\) 16.2668 + 13.6495i 0.640009 + 0.537031i
\(647\) −27.0373 9.84077i −1.06295 0.386881i −0.249412 0.968398i \(-0.580237\pi\)
−0.813534 + 0.581517i \(0.802459\pi\)
\(648\) −5.87334 2.13772i −0.230726 0.0839776i
\(649\) −1.85217 1.55416i −0.0727040 0.0610059i
\(650\) 0.823688 4.67137i 0.0323077 0.183226i
\(651\) 0.209825 1.18998i 0.00822369 0.0466388i
\(652\) −5.81873 10.0783i −0.227879 0.394698i
\(653\) −15.4821 + 12.9910i −0.605863 + 0.508379i −0.893324 0.449413i \(-0.851633\pi\)
0.287461 + 0.957792i \(0.407189\pi\)
\(654\) 10.7411 3.90945i 0.420012 0.152872i
\(655\) −4.75970 + 8.24404i −0.185977 + 0.322121i
\(656\) −2.90567 5.03277i −0.113447 0.196497i
\(657\) 9.00535 + 7.55639i 0.351332 + 0.294803i
\(658\) 11.6870 20.2424i 0.455605 0.789131i
\(659\) 0.953433 + 5.40719i 0.0371405 + 0.210634i 0.997730 0.0673352i \(-0.0214497\pi\)
−0.960590 + 0.277969i \(0.910339\pi\)
\(660\) 1.78591 0.0695165
\(661\) −7.58609 43.0228i −0.295065 1.67339i −0.666940 0.745112i \(-0.732396\pi\)
0.371875 0.928283i \(-0.378715\pi\)
\(662\) −7.21962 + 6.05798i −0.280599 + 0.235450i
\(663\) 8.86263 + 3.22573i 0.344196 + 0.125277i
\(664\) −11.3441 + 4.12892i −0.440237 + 0.160233i
\(665\) −19.1476 −0.742512
\(666\) −2.59923 + 16.1138i −0.100718 + 0.624397i
\(667\) 55.5539 2.15106
\(668\) 7.87448 2.86608i 0.304673 0.110892i
\(669\) −7.73041 2.81364i −0.298875 0.108782i
\(670\) −5.36507 + 4.50183i −0.207271 + 0.173921i
\(671\) 4.63409 + 26.2812i 0.178897 + 1.01457i
\(672\) 1.79288 0.0691618
\(673\) −5.55537 31.5061i −0.214144 1.21447i −0.882386 0.470527i \(-0.844064\pi\)
0.668242 0.743944i \(-0.267047\pi\)
\(674\) −2.48767 + 4.30878i −0.0958216 + 0.165968i
\(675\) 2.44996 + 2.05576i 0.0942989 + 0.0791262i
\(676\) −4.75006 8.22734i −0.182695 0.316436i
\(677\) −14.6543 + 25.3819i −0.563209 + 0.975506i 0.434005 + 0.900910i \(0.357100\pi\)
−0.997214 + 0.0745959i \(0.976233\pi\)
\(678\) −8.93747 + 3.25297i −0.343241 + 0.124930i
\(679\) 19.7639 16.5839i 0.758468 0.636431i
\(680\) −1.76666 3.05995i −0.0677484 0.117344i
\(681\) 0.857463 4.86292i 0.0328581 0.186347i
\(682\) −0.371420 + 2.10642i −0.0142224 + 0.0806592i
\(683\) −9.28446 7.79059i −0.355260 0.298099i 0.447638 0.894215i \(-0.352265\pi\)
−0.802898 + 0.596116i \(0.796710\pi\)
\(684\) 15.1539 + 5.51558i 0.579426 + 0.210894i
\(685\) −10.3166 3.75493i −0.394177 0.143469i
\(686\) 9.39460 + 7.88301i 0.358688 + 0.300975i
\(687\) 2.05658 11.6634i 0.0784632 0.444987i
\(688\) 0.697232 3.95420i 0.0265817 0.150753i
\(689\) 25.7019 + 44.5170i 0.979163 + 1.69596i
\(690\) 2.65568 2.22838i 0.101100 0.0848328i
\(691\) −22.8745 + 8.32565i −0.870188 + 0.316722i −0.738243 0.674535i \(-0.764344\pi\)
−0.131945 + 0.991257i \(0.542122\pi\)
\(692\) 9.42626 16.3268i 0.358333 0.620650i
\(693\) 13.5660 + 23.4970i 0.515330 + 0.892578i
\(694\) −21.5314 18.0670i −0.817320 0.685813i
\(695\) −9.11514 + 15.7879i −0.345757 + 0.598869i
\(696\) 0.881184 + 4.99744i 0.0334012 + 0.189428i
\(697\) 20.5334 0.777756
\(698\) 2.61460 + 14.8281i 0.0989641 + 0.561253i
\(699\) −4.98604 + 4.18378i −0.188589 + 0.158245i
\(700\) 2.99388 + 1.08968i 0.113158 + 0.0411862i
\(701\) −9.73910 + 3.54474i −0.367841 + 0.133883i −0.519326 0.854577i \(-0.673817\pi\)
0.151485 + 0.988460i \(0.451595\pi\)
\(702\) 15.1704 0.572570
\(703\) 5.82151 36.0901i 0.219562 1.36116i
\(704\) −3.17364 −0.119611
\(705\) 3.87944 1.41200i 0.146108 0.0531790i
\(706\) 20.2345 + 7.36476i 0.761536 + 0.277176i
\(707\) −5.43279 + 4.55865i −0.204321 + 0.171446i
\(708\) −0.0744458 0.422203i −0.00279785 0.0158674i
\(709\) −22.2713 −0.836416 −0.418208 0.908351i \(-0.637342\pi\)
−0.418208 + 0.908351i \(0.637342\pi\)
\(710\) 1.17888 + 6.68575i 0.0442425 + 0.250912i
\(711\) −11.0240 + 19.0942i −0.413433 + 0.716088i
\(712\) −9.03981 7.58530i −0.338781 0.284271i
\(713\) 2.07599 + 3.59573i 0.0777466 + 0.134661i
\(714\) −3.16741 + 5.48611i −0.118537 + 0.205312i
\(715\) 14.1461 5.14876i 0.529034 0.192553i
\(716\) 12.3233 10.3405i 0.460545 0.386443i
\(717\) −3.30489 5.72423i −0.123423 0.213775i
\(718\) 4.05066 22.9725i 0.151169 0.857325i
\(719\) 0.882478 5.00478i 0.0329109 0.186647i −0.963921 0.266190i \(-0.914235\pi\)
0.996831 + 0.0795434i \(0.0253462\pi\)
\(720\) −2.05555 1.72481i −0.0766059 0.0642800i
\(721\) −2.04837 0.745546i −0.0762853 0.0277656i
\(722\) −16.0862 5.85490i −0.598666 0.217897i
\(723\) 11.3826 + 9.55115i 0.423324 + 0.355211i
\(724\) −1.75365 + 9.94546i −0.0651740 + 0.369620i
\(725\) −1.56590 + 8.88069i −0.0581562 + 0.329820i
\(726\) −0.261102 0.452242i −0.00969040 0.0167843i
\(727\) −10.7862 + 9.05067i −0.400037 + 0.335671i −0.820508 0.571635i \(-0.806309\pi\)
0.420471 + 0.907306i \(0.361865\pi\)
\(728\) 14.2013 5.16884i 0.526334 0.191570i
\(729\) 5.68620 9.84879i 0.210600 0.364770i
\(730\) 2.19049 + 3.79405i 0.0810738 + 0.140424i
\(731\) 10.8679 + 9.11923i 0.401963 + 0.337287i
\(732\) −2.36596 + 4.09796i −0.0874483 + 0.151465i
\(733\) −1.04067 5.90192i −0.0384379 0.217992i 0.959539 0.281577i \(-0.0908576\pi\)
−0.997976 + 0.0635852i \(0.979747\pi\)
\(734\) −23.7844 −0.877898
\(735\) −0.307884 1.74609i −0.0113565 0.0644057i
\(736\) −4.71926 + 3.95993i −0.173954 + 0.145965i
\(737\) −20.8865 7.60206i −0.769364 0.280026i
\(738\) 14.6534 5.33339i 0.539398 0.196325i
\(739\) −29.1927 −1.07387 −0.536936 0.843623i \(-0.680418\pi\)
−0.536936 + 0.843623i \(0.680418\pi\)
\(740\) −2.96412 + 5.31169i −0.108963 + 0.195261i
\(741\) −16.0420 −0.589318
\(742\) −32.4442 + 11.8087i −1.19106 + 0.433512i
\(743\) −0.822709 0.299441i −0.0301823 0.0109854i 0.326885 0.945064i \(-0.394001\pi\)
−0.357067 + 0.934079i \(0.616223\pi\)
\(744\) −0.290530 + 0.243784i −0.0106514 + 0.00893755i
\(745\) 1.00890 + 5.72176i 0.0369633 + 0.209629i
\(746\) 25.2131 0.923116
\(747\) −5.62509 31.9015i −0.205811 1.16721i
\(748\) 5.60675 9.71118i 0.205003 0.355076i
\(749\) 48.2875 + 40.5180i 1.76439 + 1.48050i
\(750\) 0.281366 + 0.487340i 0.0102740 + 0.0177951i
\(751\) −9.00831 + 15.6029i −0.328718 + 0.569356i −0.982258 0.187536i \(-0.939950\pi\)
0.653540 + 0.756892i \(0.273283\pi\)
\(752\) −6.89394 + 2.50919i −0.251396 + 0.0915008i
\(753\) 1.72970 1.45139i 0.0630336 0.0528915i
\(754\) 21.3874 + 37.0440i 0.778882 + 1.34906i
\(755\) 0.131801 0.747480i 0.00479672 0.0272036i
\(756\) −1.76939 + 10.0347i −0.0643521 + 0.364959i
\(757\) 23.8543 + 20.0161i 0.867000 + 0.727499i 0.963464 0.267837i \(-0.0863090\pi\)
−0.0964645 + 0.995336i \(0.530753\pi\)
\(758\) −10.0621 3.66231i −0.365473 0.133021i
\(759\) 10.3387 + 3.76297i 0.375270 + 0.136587i
\(760\) 4.60383 + 3.86307i 0.166998 + 0.140128i
\(761\) 6.16957 34.9894i 0.223647 1.26836i −0.641609 0.767032i \(-0.721733\pi\)
0.865255 0.501331i \(-0.167156\pi\)
\(762\) −1.18300 + 6.70911i −0.0428554 + 0.243045i
\(763\) 32.3581 + 56.0458i 1.17144 + 2.02899i
\(764\) −7.28277 + 6.11097i −0.263481 + 0.221087i
\(765\) 8.90930 3.24272i 0.322116 0.117241i
\(766\) −2.83549 + 4.91122i −0.102451 + 0.177450i
\(767\) −1.80689 3.12962i −0.0652429 0.113004i
\(768\) −0.431077 0.361717i −0.0155552 0.0130523i
\(769\) −11.1357 + 19.2876i −0.401564 + 0.695528i −0.993915 0.110151i \(-0.964866\pi\)
0.592351 + 0.805680i \(0.298200\pi\)
\(770\) 1.75581 + 9.95770i 0.0632750 + 0.358851i
\(771\) −2.89473 −0.104251
\(772\) −0.455672 2.58425i −0.0164000 0.0930091i
\(773\) −3.58292 + 3.00643i −0.128869 + 0.108134i −0.704944 0.709263i \(-0.749028\pi\)
0.576075 + 0.817397i \(0.304583\pi\)
\(774\) 10.1244 + 3.68497i 0.363913 + 0.132453i
\(775\) −0.633318 + 0.230509i −0.0227495 + 0.00828013i
\(776\) −8.09784 −0.290696
\(777\) 10.9045 0.159280i 0.391196 0.00571415i
\(778\) 11.1701 0.400467
\(779\) −32.8192 + 11.9452i −1.17587 + 0.427982i
\(780\) 2.50830 + 0.912947i 0.0898116 + 0.0326887i
\(781\) −16.5048 + 13.8492i −0.590589 + 0.495563i
\(782\) −3.77984 21.4365i −0.135167 0.766569i
\(783\) −28.8403 −1.03067
\(784\) 0.547123 + 3.10289i 0.0195401 + 0.110818i
\(785\) −1.65572 + 2.86779i −0.0590951 + 0.102356i
\(786\) −4.10360 3.44333i −0.146370 0.122819i
\(787\) −5.03252 8.71658i −0.179390 0.310712i 0.762282 0.647245i \(-0.224079\pi\)
−0.941672 + 0.336533i \(0.890746\pi\)
\(788\) 5.32129 9.21674i 0.189563 0.328333i
\(789\) −16.7837 + 6.10876i −0.597515 + 0.217478i
\(790\) −6.29433 + 5.28157i −0.223942 + 0.187910i
\(791\) −26.9244 46.6345i −0.957322 1.65813i
\(792\) 1.47878 8.38657i 0.0525461 0.298004i
\(793\) −6.92625 + 39.2807i −0.245958 + 1.39490i
\(794\) −4.49879 3.77494i −0.159656 0.133967i
\(795\) −5.73046 2.08572i −0.203239 0.0739728i
\(796\) −6.00553 2.18584i −0.212861 0.0774749i
\(797\) 19.1849 + 16.0980i 0.679563 + 0.570221i 0.915879 0.401455i \(-0.131496\pi\)
−0.236316 + 0.971676i \(0.575940\pi\)
\(798\) 1.87105 10.6113i 0.0662346 0.375635i
\(799\) 4.50127 25.5280i 0.159244 0.903115i
\(800\) −0.500000 0.866025i −0.0176777 0.0306186i
\(801\) 24.2568 20.3539i 0.857072 0.719169i
\(802\) −7.13690 + 2.59762i −0.252013 + 0.0917251i
\(803\) −6.95185 + 12.0410i −0.245325 + 0.424916i
\(804\) −1.97057 3.41314i −0.0694968 0.120372i
\(805\) 15.0357 + 12.6164i 0.529938 + 0.444671i
\(806\) −1.59845 + 2.76859i −0.0563029 + 0.0975196i
\(807\) 2.85121 + 16.1700i 0.100367 + 0.569211i
\(808\) 2.22597 0.0783095
\(809\) −1.05864 6.00387i −0.0372200 0.211085i 0.960526 0.278191i \(-0.0897347\pi\)
−0.997746 + 0.0671056i \(0.978624\pi\)
\(810\) 4.78799 4.01760i 0.168233 0.141164i
\(811\) −1.96640 0.715713i −0.0690498 0.0251321i 0.307264 0.951624i \(-0.400586\pi\)
−0.376314 + 0.926492i \(0.622809\pi\)
\(812\) −26.9979 + 9.82644i −0.947441 + 0.344840i
\(813\) 16.6770 0.584889
\(814\) −19.3025 + 0.281949i −0.676551 + 0.00988230i
\(815\) 11.6375 0.407642
\(816\) 1.86840 0.680043i 0.0654072 0.0238063i
\(817\) −22.6756 8.25324i −0.793318 0.288744i
\(818\) −10.6857 + 8.96634i −0.373616 + 0.313501i
\(819\) 7.04184 + 39.9363i 0.246062 + 1.39549i
\(820\) 5.81135 0.202941
\(821\) −8.47858 48.0844i −0.295905 1.67816i −0.663503 0.748174i \(-0.730931\pi\)
0.367598 0.929985i \(-0.380180\pi\)
\(822\) 3.08903 5.35036i 0.107742 0.186615i
\(823\) −34.5184 28.9644i −1.20324 1.00964i −0.999532 0.0306035i \(-0.990257\pi\)
−0.203705 0.979032i \(-0.565298\pi\)
\(824\) 0.342093 + 0.592522i 0.0119174 + 0.0206415i
\(825\) −0.892955 + 1.54664i −0.0310887 + 0.0538472i
\(826\) 2.28089 0.830175i 0.0793622 0.0288855i
\(827\) −22.0396 + 18.4934i −0.766392 + 0.643079i −0.939782 0.341774i \(-0.888972\pi\)
0.173390 + 0.984853i \(0.444528\pi\)
\(828\) −8.26541 14.3161i −0.287243 0.497519i
\(829\) 1.18790 6.73693i 0.0412576 0.233983i −0.957205 0.289410i \(-0.906541\pi\)
0.998463 + 0.0554269i \(0.0176520\pi\)
\(830\) 2.09631 11.8888i 0.0727639 0.412665i
\(831\) 5.69932 + 4.78229i 0.197707 + 0.165896i
\(832\) −4.45737 1.62235i −0.154531 0.0562448i
\(833\) −10.4613 3.80759i −0.362461 0.131925i
\(834\) −7.85866 6.59420i −0.272123 0.228339i
\(835\) −1.45515 + 8.25254i −0.0503574 + 0.285591i
\(836\) −3.31203 + 18.7834i −0.114549 + 0.649639i
\(837\) −1.07773 1.86669i −0.0372519 0.0645221i
\(838\) 5.20942 4.37123i 0.179957 0.151001i
\(839\) −17.6191 + 6.41285i −0.608281 + 0.221396i −0.627751 0.778414i \(-0.716024\pi\)
0.0194702 + 0.999810i \(0.493802\pi\)
\(840\) −0.896439 + 1.55268i −0.0309301 + 0.0535725i
\(841\) −26.1593 45.3093i −0.902046 1.56239i
\(842\) −24.7038 20.7290i −0.851349 0.714367i
\(843\) −6.49404 + 11.2480i −0.223667 + 0.387402i
\(844\) −1.43257 8.12453i −0.0493112 0.279658i
\(845\) 9.50012 0.326814
\(846\) −3.41843 19.3869i −0.117528 0.666535i
\(847\) 2.26486 1.90044i 0.0778216 0.0653000i
\(848\) 10.1833 + 3.70642i 0.349696 + 0.127279i
\(849\) 0.0931789 0.0339143i 0.00319789 0.00116394i
\(850\) 3.53332 0.121192
\(851\) −28.3513 + 24.5040i −0.971869 + 0.839986i
\(852\) −3.82032 −0.130882
\(853\) −4.18716 + 1.52400i −0.143366 + 0.0521808i −0.412706 0.910864i \(-0.635416\pi\)
0.269341 + 0.963045i \(0.413194\pi\)
\(854\) −25.1751 9.16297i −0.861473 0.313551i
\(855\) −12.3536 + 10.3659i −0.422485 + 0.354507i
\(856\) −3.43560 19.4842i −0.117426 0.665957i
\(857\) 23.3982 0.799266 0.399633 0.916675i \(-0.369138\pi\)
0.399633 + 0.916675i \(0.369138\pi\)
\(858\) 1.47103 + 8.34264i 0.0502202 + 0.284813i
\(859\) 12.1098 20.9748i 0.413182 0.715652i −0.582054 0.813150i \(-0.697751\pi\)
0.995236 + 0.0974985i \(0.0310841\pi\)
\(860\) 3.07582 + 2.58092i 0.104885 + 0.0880087i
\(861\) −5.20952 9.02315i −0.177540 0.307508i
\(862\) 2.72871 4.72627i 0.0929403 0.160977i
\(863\) −45.3171 + 16.4941i −1.54261 + 0.561465i −0.966670 0.256025i \(-0.917587\pi\)
−0.575942 + 0.817490i \(0.695365\pi\)
\(864\) 2.44996 2.05576i 0.0833492 0.0699383i
\(865\) 9.42626 + 16.3268i 0.320502 + 0.555127i
\(866\) −2.49609 + 14.1560i −0.0848207 + 0.481042i
\(867\) 0.441256 2.50249i 0.0149858 0.0849889i
\(868\) −1.64490 1.38023i −0.0558315 0.0468482i
\(869\) −24.5042 8.91879i −0.831247 0.302549i
\(870\) −4.76851 1.73559i −0.161668 0.0588422i
\(871\) −25.4488 21.3541i −0.862301 0.723556i
\(872\) 3.52723 20.0039i 0.119447 0.677417i
\(873\) 3.77324 21.3991i 0.127705 0.724249i
\(874\) 18.5121 + 32.0638i 0.626180 + 1.08458i
\(875\) −2.44064 + 2.04794i −0.0825086 + 0.0692329i
\(876\) −2.31664 + 0.843190i −0.0782722 + 0.0284887i
\(877\) −14.7055 + 25.4707i −0.496570 + 0.860084i −0.999992 0.00395646i \(-0.998741\pi\)
0.503422 + 0.864040i \(0.332074\pi\)
\(878\) 13.7450 + 23.8070i 0.463870 + 0.803446i
\(879\) 9.20273 + 7.72201i 0.310400 + 0.260457i
\(880\) 1.58682 2.74846i 0.0534918 0.0926505i
\(881\) 3.87864 + 21.9968i 0.130675 + 0.741092i 0.977775 + 0.209659i \(0.0672353\pi\)
−0.847100 + 0.531433i \(0.821654\pi\)
\(882\) −8.45453 −0.284679
\(883\) 6.83225 + 38.7476i 0.229924 + 1.30396i 0.853045 + 0.521837i \(0.174753\pi\)
−0.623122 + 0.782125i \(0.714136\pi\)
\(884\) 12.8390 10.7732i 0.431821 0.362341i
\(885\) 0.402862 + 0.146630i 0.0135420 + 0.00492890i
\(886\) 19.9266 7.25268i 0.669446 0.243658i
\(887\) −19.3658 −0.650239 −0.325120 0.945673i \(-0.605405\pi\)
−0.325120 + 0.945673i \(0.605405\pi\)
\(888\) −2.65400 2.16171i −0.0890623 0.0725421i
\(889\) −38.5710 −1.29363
\(890\) 11.0890 4.03605i 0.371703 0.135289i
\(891\) 18.6399 + 6.78436i 0.624460 + 0.227285i
\(892\) −11.1987 + 9.39686i −0.374962 + 0.314630i
\(893\) 7.65627 + 43.4209i 0.256207 + 1.45302i
\(894\) −3.26949 −0.109348
\(895\) 2.79348 + 15.8426i 0.0933756 + 0.529559i
\(896\) 1.59301 2.75918i 0.0532188 0.0921777i
\(897\) 12.5970 + 10.5701i 0.420602 + 0.352927i
\(898\) 2.39248 + 4.14389i 0.0798380 + 0.138284i
\(899\) 3.03879 5.26335i 0.101349 0.175542i
\(900\) 2.52151 0.917754i 0.0840503 0.0305918i
\(901\) −29.3319 + 24.6123i −0.977186 + 0.819956i
\(902\) 9.22157 + 15.9722i 0.307045 + 0.531817i
\(903\) 1.25005 7.08940i 0.0415991 0.235920i
\(904\) −2.93493 + 16.6448i −0.0976142 + 0.553598i
\(905\) −7.73619 6.49144i −0.257160 0.215783i
\(906\) 0.401361 + 0.146083i 0.0133343 + 0.00485330i
\(907\) 52.7691 + 19.2064i 1.75217 + 0.637738i 0.999780 0.0209795i \(-0.00667846\pi\)
0.752391 + 0.658717i \(0.228901\pi\)
\(908\) −6.72199 5.64042i −0.223077 0.187184i
\(909\) −1.03721 + 5.88228i −0.0344019 + 0.195103i
\(910\) −2.62429 + 14.8831i −0.0869944 + 0.493370i
\(911\) 8.31783 + 14.4069i 0.275582 + 0.477322i 0.970282 0.241978i \(-0.0777962\pi\)
−0.694700 + 0.719300i \(0.744463\pi\)
\(912\) −2.59072 + 2.17387i −0.0857873 + 0.0719841i
\(913\) 36.0022 13.1037i 1.19150 0.433670i
\(914\) −4.51687 + 7.82345i −0.149405 + 0.258777i
\(915\) −2.36596 4.09796i −0.0782161 0.135474i
\(916\) −16.1223 13.5282i −0.532696 0.446985i
\(917\) 15.1645 26.2657i 0.500777 0.867370i
\(918\) 1.96227 + 11.1286i 0.0647644 + 0.367297i
\(919\) 54.2166 1.78844 0.894220 0.447627i \(-0.147731\pi\)
0.894220 + 0.447627i \(0.147731\pi\)
\(920\) −1.06977 6.06696i −0.0352692 0.200022i
\(921\) −9.70906 + 8.14686i −0.319924 + 0.268448i
\(922\) 33.7250 + 12.2749i 1.11067 + 0.404253i
\(923\) −30.2606 + 11.0139i −0.996038 + 0.362528i
\(924\) −5.68996 −0.187186
\(925\) −3.11800 5.22284i −0.102519 0.171726i
\(926\) 28.8738 0.948851
\(927\) −1.72518 + 0.627914i −0.0566623 + 0.0206234i
\(928\) 8.47385 + 3.08423i 0.278168 + 0.101245i
\(929\) 15.3922 12.9156i 0.505000 0.423745i −0.354365 0.935107i \(-0.615303\pi\)
0.859366 + 0.511362i \(0.170859\pi\)
\(930\) −0.0658579 0.373499i −0.00215957 0.0122475i
\(931\) 18.9357 0.620591
\(932\) 2.00849 + 11.3907i 0.0657904 + 0.373116i
\(933\) 2.98127 5.16371i 0.0976024 0.169052i
\(934\) −1.01376 0.850643i −0.0331712 0.0278339i
\(935\) 5.60675 + 9.71118i 0.183360 + 0.317590i
\(936\) 6.36410 11.0229i 0.208017 0.360296i
\(937\) −18.3678 + 6.68532i −0.600049 + 0.218400i −0.624144 0.781310i \(-0.714552\pi\)
0.0240945 + 0.999710i \(0.492330\pi\)
\(938\) 17.0933 14.3429i 0.558114 0.468314i
\(939\) 0.219503 + 0.380190i 0.00716320 + 0.0124070i
\(940\) 1.27395 7.22493i 0.0415516 0.235651i
\(941\) 8.13341 46.1269i 0.265142 1.50369i −0.503489 0.864001i \(-0.667951\pi\)
0.768631 0.639692i \(-0.220938\pi\)
\(942\) −1.42748 1.19780i −0.0465100 0.0390265i
\(943\) 33.6420 + 12.2447i 1.09554 + 0.398742i
\(944\) −0.715904 0.260568i −0.0233007 0.00848075i
\(945\) −7.80563 6.54970i −0.253917 0.213062i
\(946\) −2.21277 + 12.5492i −0.0719433 + 0.408011i
\(947\) −0.664860 + 3.77061i −0.0216050 + 0.122528i −0.993703 0.112048i \(-0.964259\pi\)
0.972098 + 0.234576i \(0.0753702\pi\)
\(948\) −2.31189 4.00431i −0.0750867 0.130054i
\(949\) −15.9191 + 13.3577i −0.516756 + 0.433610i
\(950\) −5.64743 + 2.05550i −0.183227 + 0.0666892i
\(951\) −5.23209 + 9.06225i −0.169662 + 0.293864i
\(952\) 5.62863 + 9.74907i 0.182425 + 0.315969i
\(953\) −4.42345 3.71171i −0.143290 0.120234i 0.568325 0.822804i \(-0.307591\pi\)
−0.711615 + 0.702570i \(0.752036\pi\)
\(954\) −14.5394 + 25.1830i −0.470731 + 0.815330i
\(955\) −1.65087 9.36255i −0.0534209 0.302965i
\(956\) −11.7459 −0.379889
\(957\) −2.79657 15.8601i −0.0904001 0.512685i
\(958\) −11.8359 + 9.93152i −0.382401 + 0.320873i
\(959\) 32.8689 + 11.9633i 1.06139 + 0.386316i
\(960\) 0.528795 0.192466i 0.0170668 0.00621180i
\(961\) −30.5458 −0.985348
\(962\) −27.2543 9.47131i −0.878715 0.305367i
\(963\) 53.0892 1.71078
\(964\) 24.8126 9.03106i 0.799161 0.290871i
\(965\) 2.46586 + 0.897499i 0.0793788 + 0.0288915i
\(966\) −8.46105 + 7.09966i −0.272230 + 0.228428i
\(967\) −7.71421 43.7494i −0.248072 1.40689i −0.813248 0.581917i \(-0.802303\pi\)
0.565176 0.824970i \(-0.308808\pi\)
\(968\) −0.927980 −0.0298264
\(969\) −2.07501 11.7680i −0.0666589 0.378041i
\(970\) 4.04892 7.01294i 0.130003 0.225172i
\(971\) −35.3611 29.6715i −1.13479 0.952203i −0.135535 0.990773i \(-0.543275\pi\)
−0.999256 + 0.0385700i \(0.987720\pi\)
\(972\) 6.55590 + 11.3552i 0.210281 + 0.364217i
\(973\) 29.0411 50.3006i 0.931014 1.61256i
\(974\) −7.25435 + 2.64037i −0.232444 + 0.0846028i
\(975\) −2.04479 + 1.71578i −0.0654855 + 0.0549489i
\(976\) 4.20442 + 7.28226i 0.134580 + 0.233099i
\(977\) 9.64471 54.6978i 0.308561 1.74994i −0.297687 0.954664i \(-0.596215\pi\)
0.606248 0.795275i \(-0.292674\pi\)
\(978\) −1.13718 + 6.44927i −0.0363630 + 0.206225i
\(979\) 28.6891 + 24.0730i 0.916909 + 0.769378i
\(980\) −2.96074 1.07762i −0.0945775 0.0344234i
\(981\) 51.2181 + 18.6419i 1.63527 + 0.595189i
\(982\) −21.4592 18.0064i −0.684790 0.574607i
\(983\) 4.92402 27.9255i 0.157052 0.890686i −0.799834 0.600221i \(-0.795079\pi\)
0.956886 0.290464i \(-0.0938098\pi\)
\(984\) −0.567869 + 3.22055i −0.0181030 + 0.102667i
\(985\) 5.32129 + 9.21674i 0.169550 + 0.293670i
\(986\) −24.4080 + 20.4807i −0.777309 + 0.652240i
\(987\) −12.3600 + 4.49867i −0.393423 + 0.143194i
\(988\) −14.2537 + 24.6881i −0.453471 + 0.785434i
\(989\) 12.3679 + 21.4219i 0.393277 + 0.681176i
\(990\) 6.52359 + 5.47394i 0.207333 + 0.173973i
\(991\) 2.52327 4.37044i 0.0801544 0.138832i −0.823162 0.567807i \(-0.807792\pi\)
0.903316 + 0.428975i \(0.141125\pi\)
\(992\) 0.117032 + 0.663724i 0.00371579 + 0.0210733i
\(993\) 5.30349 0.168301
\(994\) −3.75594 21.3010i −0.119131 0.675626i
\(995\) 4.89576 4.10803i 0.155206 0.130233i
\(996\) 6.38370 + 2.32348i 0.202275 + 0.0736221i
\(997\) −52.9630 + 19.2770i −1.67735 + 0.610507i −0.992943 0.118589i \(-0.962163\pi\)
−0.684412 + 0.729096i \(0.739941\pi\)
\(998\) −35.3693 −1.11960
\(999\) 14.7183 12.7210i 0.465666 0.402475i
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 370.2.o.a.81.2 18
37.16 even 9 inner 370.2.o.a.201.2 yes 18
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
370.2.o.a.81.2 18 1.1 even 1 trivial
370.2.o.a.201.2 yes 18 37.16 even 9 inner