Properties

Label 750.2.o.b.229.12
Level $750$
Weight $2$
Character 750.229
Analytic conductor $5.989$
Analytic rank $0$
Dimension $280$
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] = [750,2,Mod(19,750)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(750, base_ring=CyclotomicField(50))
 
chi = DirichletCharacter(H, H._module([0, 9]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("750.19");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 750 = 2 \cdot 3 \cdot 5^{3} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 750.o (of order \(50\), degree \(20\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(5.98878015160\)
Analytic rank: \(0\)
Dimension: \(280\)
Relative dimension: \(14\) over \(\Q(\zeta_{50})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{50}]$

Embedding invariants

Embedding label 229.12
Character \(\chi\) \(=\) 750.229
Dual form 750.2.o.b.619.12

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.248690 + 0.968583i) q^{2} +(-0.982287 + 0.187381i) q^{3} +(-0.876307 + 0.481754i) q^{4} +(0.777768 - 2.09644i) q^{5} +(-0.425779 - 0.904827i) q^{6} +(-0.896785 + 1.23432i) q^{7} +(-0.684547 - 0.728969i) q^{8} +(0.929776 - 0.368125i) q^{9} +O(q^{10})\) \(q+(0.248690 + 0.968583i) q^{2} +(-0.982287 + 0.187381i) q^{3} +(-0.876307 + 0.481754i) q^{4} +(0.777768 - 2.09644i) q^{5} +(-0.425779 - 0.904827i) q^{6} +(-0.896785 + 1.23432i) q^{7} +(-0.684547 - 0.728969i) q^{8} +(0.929776 - 0.368125i) q^{9} +(2.22400 + 0.231969i) q^{10} +(-4.07579 + 1.04648i) q^{11} +(0.770513 - 0.637424i) q^{12} +(-0.115406 - 0.291482i) q^{13} +(-1.41856 - 0.561648i) q^{14} +(-0.371158 + 2.20505i) q^{15} +(0.535827 - 0.844328i) q^{16} +(0.431682 - 0.785227i) q^{17} +(0.587785 + 0.809017i) q^{18} +(0.158578 - 0.831296i) q^{19} +(0.328406 + 2.21182i) q^{20} +(0.649612 - 1.38050i) q^{21} +(-2.02721 - 3.68749i) q^{22} +(-5.74535 - 0.361467i) q^{23} +(0.809017 + 0.587785i) q^{24} +(-3.79015 - 3.26110i) q^{25} +(0.253624 - 0.184269i) q^{26} +(-0.844328 + 0.535827i) q^{27} +(0.191221 - 1.51367i) q^{28} +(-6.76476 - 0.854588i) q^{29} +(-2.22808 + 0.188876i) q^{30} +(-7.47893 - 4.11158i) q^{31} +(0.951057 + 0.309017i) q^{32} +(3.80750 - 1.79167i) q^{33} +(0.867913 + 0.222842i) q^{34} +(1.89019 + 2.84007i) q^{35} +(-0.637424 + 0.770513i) q^{36} +(5.43962 + 3.45209i) q^{37} +(0.844616 - 0.0531387i) q^{38} +(0.167980 + 0.264694i) q^{39} +(-2.06066 + 0.868146i) q^{40} +(-0.397336 - 6.31548i) q^{41} +(1.49868 + 0.285888i) q^{42} +(-7.89966 + 2.56675i) q^{43} +(3.06749 - 2.88057i) q^{44} +(-0.0486017 - 2.23554i) q^{45} +(-1.07870 - 5.65474i) q^{46} +(4.04457 - 4.30703i) q^{47} +(-0.368125 + 0.929776i) q^{48} +(1.44380 + 4.44356i) q^{49} +(2.21607 - 4.48208i) q^{50} +(-0.276899 + 0.852208i) q^{51} +(0.241554 + 0.199831i) q^{52} +(0.628442 + 0.295722i) q^{53} +(-0.728969 - 0.684547i) q^{54} +(-0.976123 + 9.35858i) q^{55} +(1.51367 - 0.191221i) q^{56} +0.846286i q^{57} +(-0.854588 - 6.76476i) q^{58} +(-5.57196 - 6.73535i) q^{59} +(-0.737043 - 2.11111i) q^{60} +(0.874438 - 13.8988i) q^{61} +(2.12247 - 8.26648i) q^{62} +(-0.379426 + 1.47777i) q^{63} +(-0.0627905 + 0.998027i) q^{64} +(-0.700835 + 0.0152365i) q^{65} +(2.68227 + 3.24231i) q^{66} +(0.304105 + 2.40724i) q^{67} +0.896065i q^{68} +(5.71132 - 0.721507i) q^{69} +(-2.28078 + 2.53710i) q^{70} +(-3.46226 - 3.25128i) q^{71} +(-0.904827 - 0.425779i) q^{72} +(2.81133 + 2.32574i) q^{73} +(-1.99086 + 6.12723i) q^{74} +(4.33409 + 2.49313i) q^{75} +(0.261517 + 0.804866i) q^{76} +(2.36341 - 5.96929i) q^{77} +(-0.214603 + 0.228530i) q^{78} +(1.97603 + 10.3587i) q^{79} +(-1.35334 - 1.78002i) q^{80} +(0.728969 - 0.684547i) q^{81} +(6.01826 - 1.95545i) q^{82} +(11.6177 + 2.21620i) q^{83} +(0.0957996 + 1.52269i) q^{84} +(-1.31044 - 1.51572i) q^{85} +(-4.45068 - 7.01315i) q^{86} +(6.80507 - 0.428139i) q^{87} +(3.55292 + 2.25475i) q^{88} +(-1.53505 + 1.85555i) q^{89} +(2.15322 - 0.603031i) q^{90} +(0.463276 + 0.118949i) q^{91} +(5.20883 - 2.45109i) q^{92} +(8.11689 + 2.63734i) q^{93} +(5.17756 + 2.84639i) q^{94} +(-1.61943 - 0.979006i) q^{95} +(-0.992115 - 0.125333i) q^{96} +(-1.30611 + 10.3389i) q^{97} +(-3.94490 + 2.50351i) q^{98} +(-3.40433 + 2.47339i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 280 q+O(q^{10}) \) Copy content Toggle raw display \( 280 q - 10 q^{11} - 20 q^{13} + 30 q^{17} + 10 q^{19} + 20 q^{22} + 60 q^{23} + 70 q^{24} + 20 q^{25} + 20 q^{29} + 10 q^{30} + 20 q^{31} + 20 q^{33} - 10 q^{34} + 30 q^{35} - 20 q^{37} + 90 q^{38} - 40 q^{41} - 10 q^{46} - 100 q^{47} + 120 q^{49} - 20 q^{50} - 30 q^{51} + 80 q^{52} - 30 q^{53} - 10 q^{55} + 30 q^{58} + 20 q^{59} + 60 q^{61} - 50 q^{62} - 10 q^{63} + 20 q^{65} + 40 q^{66} + 50 q^{67} + 10 q^{69} + 20 q^{70} + 80 q^{71} - 20 q^{73} + 80 q^{75} - 30 q^{76} - 100 q^{77} - 100 q^{79} + 100 q^{82} + 30 q^{83} - 20 q^{86} - 10 q^{87} - 60 q^{89} - 10 q^{90} + 70 q^{91} - 120 q^{92} + 50 q^{93} + 30 q^{94} - 20 q^{95} + 10 q^{97} + 40 q^{98} + 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/750\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(251\)
\(\chi(n)\) \(e\left(\frac{21}{50}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.248690 + 0.968583i 0.175850 + 0.684892i
\(3\) −0.982287 + 0.187381i −0.567124 + 0.108185i
\(4\) −0.876307 + 0.481754i −0.438153 + 0.240877i
\(5\) 0.777768 2.09644i 0.347829 0.937558i
\(6\) −0.425779 0.904827i −0.173824 0.369394i
\(7\) −0.896785 + 1.23432i −0.338953 + 0.466528i −0.944135 0.329558i \(-0.893100\pi\)
0.605182 + 0.796087i \(0.293100\pi\)
\(8\) −0.684547 0.728969i −0.242024 0.257729i
\(9\) 0.929776 0.368125i 0.309925 0.122708i
\(10\) 2.22400 + 0.231969i 0.703292 + 0.0733550i
\(11\) −4.07579 + 1.04648i −1.22890 + 0.315527i −0.806691 0.590974i \(-0.798744\pi\)
−0.422205 + 0.906500i \(0.638744\pi\)
\(12\) 0.770513 0.637424i 0.222428 0.184008i
\(13\) −0.115406 0.291482i −0.0320079 0.0808426i 0.912894 0.408198i \(-0.133843\pi\)
−0.944901 + 0.327355i \(0.893843\pi\)
\(14\) −1.41856 0.561648i −0.379126 0.150107i
\(15\) −0.371158 + 2.20505i −0.0958325 + 0.569341i
\(16\) 0.535827 0.844328i 0.133957 0.211082i
\(17\) 0.431682 0.785227i 0.104698 0.190446i −0.818769 0.574124i \(-0.805343\pi\)
0.923467 + 0.383678i \(0.125343\pi\)
\(18\) 0.587785 + 0.809017i 0.138542 + 0.190687i
\(19\) 0.158578 0.831296i 0.0363803 0.190712i −0.959458 0.281852i \(-0.909051\pi\)
0.995838 + 0.0911401i \(0.0290511\pi\)
\(20\) 0.328406 + 2.21182i 0.0734338 + 0.494578i
\(21\) 0.649612 1.38050i 0.141757 0.301249i
\(22\) −2.02721 3.68749i −0.432203 0.786175i
\(23\) −5.74535 0.361467i −1.19799 0.0753710i −0.548770 0.835973i \(-0.684904\pi\)
−0.649218 + 0.760602i \(0.724904\pi\)
\(24\) 0.809017 + 0.587785i 0.165140 + 0.119981i
\(25\) −3.79015 3.26110i −0.758031 0.652219i
\(26\) 0.253624 0.184269i 0.0497398 0.0361381i
\(27\) −0.844328 + 0.535827i −0.162491 + 0.103120i
\(28\) 0.191221 1.51367i 0.0361374 0.286057i
\(29\) −6.76476 0.854588i −1.25618 0.158693i −0.531074 0.847326i \(-0.678211\pi\)
−0.725110 + 0.688633i \(0.758211\pi\)
\(30\) −2.22808 + 0.188876i −0.406789 + 0.0344840i
\(31\) −7.47893 4.11158i −1.34326 0.738461i −0.362184 0.932106i \(-0.617969\pi\)
−0.981072 + 0.193645i \(0.937969\pi\)
\(32\) 0.951057 + 0.309017i 0.168125 + 0.0546270i
\(33\) 3.80750 1.79167i 0.662801 0.311890i
\(34\) 0.867913 + 0.222842i 0.148846 + 0.0382171i
\(35\) 1.89019 + 2.84007i 0.319500 + 0.480060i
\(36\) −0.637424 + 0.770513i −0.106237 + 0.128419i
\(37\) 5.43962 + 3.45209i 0.894269 + 0.567520i 0.901657 0.432453i \(-0.142352\pi\)
−0.00738796 + 0.999973i \(0.502352\pi\)
\(38\) 0.844616 0.0531387i 0.137015 0.00862024i
\(39\) 0.167980 + 0.264694i 0.0268983 + 0.0423850i
\(40\) −2.06066 + 0.868146i −0.325819 + 0.137266i
\(41\) −0.397336 6.31548i −0.0620535 0.986313i −0.898699 0.438567i \(-0.855486\pi\)
0.836645 0.547746i \(-0.184514\pi\)
\(42\) 1.49868 + 0.285888i 0.231251 + 0.0441135i
\(43\) −7.89966 + 2.56675i −1.20469 + 0.391426i −0.841483 0.540283i \(-0.818317\pi\)
−0.363204 + 0.931710i \(0.618317\pi\)
\(44\) 3.06749 2.88057i 0.462442 0.434262i
\(45\) −0.0486017 2.23554i −0.00724511 0.333255i
\(46\) −1.07870 5.65474i −0.159046 0.833746i
\(47\) 4.04457 4.30703i 0.589961 0.628244i −0.362836 0.931853i \(-0.618192\pi\)
0.952797 + 0.303609i \(0.0981915\pi\)
\(48\) −0.368125 + 0.929776i −0.0531342 + 0.134202i
\(49\) 1.44380 + 4.44356i 0.206257 + 0.634794i
\(50\) 2.21607 4.48208i 0.313400 0.633862i
\(51\) −0.276899 + 0.852208i −0.0387736 + 0.119333i
\(52\) 0.241554 + 0.199831i 0.0334975 + 0.0277115i
\(53\) 0.628442 + 0.295722i 0.0863231 + 0.0406206i 0.468456 0.883487i \(-0.344810\pi\)
−0.382133 + 0.924107i \(0.624810\pi\)
\(54\) −0.728969 0.684547i −0.0992001 0.0931551i
\(55\) −0.976123 + 9.35858i −0.131620 + 1.26191i
\(56\) 1.51367 0.191221i 0.202273 0.0255530i
\(57\) 0.846286i 0.112093i
\(58\) −0.854588 6.76476i −0.112213 0.888256i
\(59\) −5.57196 6.73535i −0.725408 0.876868i 0.270910 0.962605i \(-0.412675\pi\)
−0.996318 + 0.0857372i \(0.972675\pi\)
\(60\) −0.737043 2.11111i −0.0951518 0.272543i
\(61\) 0.874438 13.8988i 0.111960 1.77956i −0.396072 0.918220i \(-0.629627\pi\)
0.508032 0.861338i \(-0.330373\pi\)
\(62\) 2.12247 8.26648i 0.269554 1.04984i
\(63\) −0.379426 + 1.47777i −0.0478032 + 0.186181i
\(64\) −0.0627905 + 0.998027i −0.00784881 + 0.124753i
\(65\) −0.700835 + 0.0152365i −0.0869279 + 0.00188985i
\(66\) 2.68227 + 3.24231i 0.330165 + 0.399101i
\(67\) 0.304105 + 2.40724i 0.0371524 + 0.294091i 0.999733 + 0.0230968i \(0.00735258\pi\)
−0.962581 + 0.270995i \(0.912647\pi\)
\(68\) 0.896065i 0.108664i
\(69\) 5.71132 0.721507i 0.687562 0.0868592i
\(70\) −2.28078 + 2.53710i −0.272605 + 0.303242i
\(71\) −3.46226 3.25128i −0.410895 0.385856i 0.451351 0.892347i \(-0.350942\pi\)
−0.862245 + 0.506491i \(0.830942\pi\)
\(72\) −0.904827 0.425779i −0.106635 0.0501786i
\(73\) 2.81133 + 2.32574i 0.329042 + 0.272207i 0.787245 0.616641i \(-0.211507\pi\)
−0.458203 + 0.888847i \(0.651507\pi\)
\(74\) −1.99086 + 6.12723i −0.231432 + 0.712276i
\(75\) 4.33409 + 2.49313i 0.500457 + 0.287882i
\(76\) 0.261517 + 0.804866i 0.0299980 + 0.0923244i
\(77\) 2.36341 5.96929i 0.269335 0.680264i
\(78\) −0.214603 + 0.228530i −0.0242991 + 0.0258759i
\(79\) 1.97603 + 10.3587i 0.222320 + 1.16544i 0.901934 + 0.431874i \(0.142148\pi\)
−0.679613 + 0.733570i \(0.737852\pi\)
\(80\) −1.35334 1.78002i −0.151308 0.199013i
\(81\) 0.728969 0.684547i 0.0809965 0.0760608i
\(82\) 6.01826 1.95545i 0.664605 0.215943i
\(83\) 11.6177 + 2.21620i 1.27521 + 0.243260i 0.780147 0.625596i \(-0.215144\pi\)
0.495066 + 0.868856i \(0.335144\pi\)
\(84\) 0.0957996 + 1.52269i 0.0104526 + 0.166139i
\(85\) −1.31044 1.51572i −0.142137 0.164403i
\(86\) −4.45068 7.01315i −0.479929 0.756247i
\(87\) 6.80507 0.428139i 0.729580 0.0459013i
\(88\) 3.55292 + 2.25475i 0.378743 + 0.240357i
\(89\) −1.53505 + 1.85555i −0.162714 + 0.196688i −0.845569 0.533867i \(-0.820738\pi\)
0.682854 + 0.730555i \(0.260738\pi\)
\(90\) 2.15322 0.603031i 0.226969 0.0635650i
\(91\) 0.463276 + 0.118949i 0.0485645 + 0.0124693i
\(92\) 5.20883 2.45109i 0.543058 0.255544i
\(93\) 8.11689 + 2.63734i 0.841683 + 0.273479i
\(94\) 5.17756 + 2.84639i 0.534024 + 0.293582i
\(95\) −1.61943 0.979006i −0.166150 0.100444i
\(96\) −0.992115 0.125333i −0.101257 0.0127918i
\(97\) −1.30611 + 10.3389i −0.132615 + 1.04976i 0.775592 + 0.631234i \(0.217451\pi\)
−0.908207 + 0.418521i \(0.862549\pi\)
\(98\) −3.94490 + 2.50351i −0.398495 + 0.252893i
\(99\) −3.40433 + 2.47339i −0.342148 + 0.248585i
\(100\) 4.89238 + 1.03180i 0.489238 + 0.103180i
\(101\) −5.12556 3.72394i −0.510012 0.370545i 0.302816 0.953049i \(-0.402073\pi\)
−0.812828 + 0.582504i \(0.802073\pi\)
\(102\) −0.894296 0.0562644i −0.0885485 0.00557100i
\(103\) 2.98652 + 5.43246i 0.294270 + 0.535276i 0.981571 0.191097i \(-0.0612045\pi\)
−0.687301 + 0.726373i \(0.741205\pi\)
\(104\) −0.133481 + 0.283661i −0.0130888 + 0.0278152i
\(105\) −2.38888 2.43558i −0.233131 0.237688i
\(106\) −0.130144 + 0.682241i −0.0126407 + 0.0662651i
\(107\) −8.15754 11.2279i −0.788620 1.08544i −0.994279 0.106818i \(-0.965934\pi\)
0.205659 0.978624i \(-0.434066\pi\)
\(108\) 0.481754 0.876307i 0.0463568 0.0843226i
\(109\) −9.16845 + 14.4472i −0.878178 + 1.38379i 0.0448255 + 0.998995i \(0.485727\pi\)
−0.923003 + 0.384792i \(0.874273\pi\)
\(110\) −9.30731 + 1.38193i −0.887418 + 0.131762i
\(111\) −5.99013 2.37166i −0.568558 0.225108i
\(112\) 0.561648 + 1.41856i 0.0530708 + 0.134041i
\(113\) 6.26107 5.17961i 0.588992 0.487257i −0.294533 0.955641i \(-0.595164\pi\)
0.883525 + 0.468385i \(0.155164\pi\)
\(114\) −0.819698 + 0.210463i −0.0767718 + 0.0197116i
\(115\) −5.22635 + 11.7637i −0.487359 + 1.09697i
\(116\) 6.33970 2.51007i 0.588627 0.233054i
\(117\) −0.214603 0.228530i −0.0198401 0.0211276i
\(118\) 5.13805 7.07192i 0.472996 0.651023i
\(119\) 0.582094 + 1.23701i 0.0533605 + 0.113397i
\(120\) 1.86149 1.23890i 0.169930 0.113095i
\(121\) 5.87753 3.23120i 0.534321 0.293746i
\(122\) 13.6796 2.60952i 1.23849 0.236255i
\(123\) 1.57370 + 6.12916i 0.141896 + 0.552648i
\(124\) 8.53461 0.766430
\(125\) −9.78456 + 5.40947i −0.875158 + 0.483837i
\(126\) −1.52570 −0.135920
\(127\) 4.52492 + 17.6234i 0.401522 + 1.56382i 0.772396 + 0.635141i \(0.219058\pi\)
−0.370874 + 0.928683i \(0.620942\pi\)
\(128\) −0.982287 + 0.187381i −0.0868227 + 0.0165623i
\(129\) 7.27877 4.00154i 0.640860 0.352316i
\(130\) −0.189048 0.675028i −0.0165806 0.0592039i
\(131\) 1.01752 + 2.16235i 0.0889014 + 0.188925i 0.944333 0.328990i \(-0.106708\pi\)
−0.855432 + 0.517915i \(0.826708\pi\)
\(132\) −2.47339 + 3.40433i −0.215281 + 0.296309i
\(133\) 0.883873 + 0.941229i 0.0766415 + 0.0816149i
\(134\) −2.25599 + 0.893208i −0.194888 + 0.0771614i
\(135\) 0.466639 + 2.18684i 0.0401619 + 0.188213i
\(136\) −0.867913 + 0.222842i −0.0744229 + 0.0191086i
\(137\) −8.34026 + 6.89967i −0.712557 + 0.589478i −0.921467 0.388457i \(-0.873008\pi\)
0.208910 + 0.977935i \(0.433008\pi\)
\(138\) 2.11919 + 5.35245i 0.180397 + 0.455631i
\(139\) −5.90265 2.33702i −0.500656 0.198224i 0.104203 0.994556i \(-0.466771\pi\)
−0.604859 + 0.796332i \(0.706771\pi\)
\(140\) −3.02460 1.57817i −0.255625 0.133380i
\(141\) −3.16587 + 4.98861i −0.266614 + 0.420117i
\(142\) 2.28810 4.16205i 0.192013 0.349271i
\(143\) 0.775402 + 1.06725i 0.0648423 + 0.0892478i
\(144\) 0.187381 0.982287i 0.0156151 0.0818573i
\(145\) −7.05301 + 13.5173i −0.585721 + 1.12255i
\(146\) −1.55352 + 3.30140i −0.128570 + 0.273225i
\(147\) −2.25087 4.09431i −0.185648 0.337693i
\(148\) −6.42984 0.404531i −0.528529 0.0332522i
\(149\) 6.43752 + 4.67713i 0.527382 + 0.383166i 0.819378 0.573254i \(-0.194319\pi\)
−0.291995 + 0.956420i \(0.594319\pi\)
\(150\) −1.33696 + 4.81794i −0.109162 + 0.393383i
\(151\) 3.22418 2.34250i 0.262380 0.190630i −0.448816 0.893624i \(-0.648154\pi\)
0.711196 + 0.702994i \(0.248154\pi\)
\(152\) −0.714543 + 0.453463i −0.0579571 + 0.0367807i
\(153\) 0.112307 0.888999i 0.00907946 0.0718713i
\(154\) 6.36951 + 0.804656i 0.513270 + 0.0648410i
\(155\) −14.4366 + 12.4813i −1.15957 + 1.00252i
\(156\) −0.274720 0.151028i −0.0219952 0.0120919i
\(157\) −4.61163 1.49841i −0.368049 0.119586i 0.119153 0.992876i \(-0.461982\pi\)
−0.487201 + 0.873290i \(0.661982\pi\)
\(158\) −9.54184 + 4.49005i −0.759108 + 0.357209i
\(159\) −0.672723 0.172726i −0.0533504 0.0136981i
\(160\) 1.38754 1.75349i 0.109695 0.138626i
\(161\) 5.59851 6.76743i 0.441224 0.533348i
\(162\) 0.844328 + 0.535827i 0.0663367 + 0.0420985i
\(163\) 8.16105 0.513450i 0.639223 0.0402165i 0.260128 0.965574i \(-0.416235\pi\)
0.379095 + 0.925358i \(0.376235\pi\)
\(164\) 3.39070 + 5.34288i 0.264769 + 0.417209i
\(165\) −0.794790 9.37572i −0.0618743 0.729899i
\(166\) 0.742638 + 11.8039i 0.0576399 + 0.916160i
\(167\) 6.19575 + 1.18190i 0.479441 + 0.0914583i 0.421436 0.906858i \(-0.361526\pi\)
0.0580049 + 0.998316i \(0.481526\pi\)
\(168\) −1.45103 + 0.471468i −0.111949 + 0.0363745i
\(169\) 9.40495 8.83183i 0.723458 0.679372i
\(170\) 1.14221 1.64621i 0.0876036 0.126259i
\(171\) −0.158578 0.831296i −0.0121268 0.0635708i
\(172\) 5.68598 6.05495i 0.433552 0.461686i
\(173\) −0.476509 + 1.20352i −0.0362283 + 0.0915023i −0.946764 0.321927i \(-0.895669\pi\)
0.910536 + 0.413430i \(0.135669\pi\)
\(174\) 2.10704 + 6.48480i 0.159734 + 0.491612i
\(175\) 7.42418 1.75375i 0.561215 0.132571i
\(176\) −1.30034 + 4.00203i −0.0980168 + 0.301665i
\(177\) 6.73535 + 5.57196i 0.506260 + 0.418814i
\(178\) −2.17901 1.02536i −0.163323 0.0768542i
\(179\) 3.48302 + 3.27077i 0.260333 + 0.244469i 0.803712 0.595018i \(-0.202855\pi\)
−0.543379 + 0.839488i \(0.682855\pi\)
\(180\) 1.11957 + 1.93560i 0.0834478 + 0.144271i
\(181\) −11.2515 + 1.42139i −0.836315 + 0.105651i −0.531814 0.846861i \(-0.678490\pi\)
−0.304501 + 0.952512i \(0.598490\pi\)
\(182\) 0.478303i 0.0354542i
\(183\) 1.74542 + 13.8165i 0.129025 + 1.02134i
\(184\) 3.66946 + 4.43562i 0.270517 + 0.326998i
\(185\) 11.4679 8.71894i 0.843135 0.641029i
\(186\) −0.535892 + 8.51777i −0.0392935 + 0.624553i
\(187\) −0.937717 + 3.65217i −0.0685727 + 0.267073i
\(188\) −1.46936 + 5.72276i −0.107164 + 0.417375i
\(189\) 0.0957996 1.52269i 0.00696839 0.110759i
\(190\) 0.545513 1.81202i 0.0395757 0.131458i
\(191\) 6.29475 + 7.60905i 0.455472 + 0.550571i 0.947395 0.320068i \(-0.103706\pi\)
−0.491922 + 0.870639i \(0.663706\pi\)
\(192\) −0.125333 0.992115i −0.00904515 0.0715997i
\(193\) 9.92653i 0.714527i 0.934004 + 0.357264i \(0.116290\pi\)
−0.934004 + 0.357264i \(0.883710\pi\)
\(194\) −10.3389 + 1.30611i −0.742289 + 0.0937729i
\(195\) 0.685566 0.146290i 0.0490944 0.0104760i
\(196\) −3.40591 3.19837i −0.243280 0.228455i
\(197\) −20.1983 9.50462i −1.43907 0.677176i −0.461377 0.887204i \(-0.652644\pi\)
−0.977695 + 0.210028i \(0.932644\pi\)
\(198\) −3.24231 2.68227i −0.230421 0.190621i
\(199\) 3.11133 9.57570i 0.220557 0.678804i −0.778156 0.628072i \(-0.783845\pi\)
0.998712 0.0507321i \(-0.0161555\pi\)
\(200\) 0.217302 + 4.99528i 0.0153656 + 0.353219i
\(201\) −0.749791 2.30762i −0.0528862 0.162767i
\(202\) 2.33227 5.89063i 0.164098 0.414464i
\(203\) 7.12136 7.58348i 0.499822 0.532256i
\(204\) −0.167906 0.880193i −0.0117558 0.0616258i
\(205\) −13.5491 4.07899i −0.946309 0.284889i
\(206\) −4.51907 + 4.24369i −0.314859 + 0.295672i
\(207\) −5.47496 + 1.77892i −0.380536 + 0.123644i
\(208\) −0.307944 0.0587435i −0.0213521 0.00407313i
\(209\) 0.223607 + 3.55413i 0.0154672 + 0.245845i
\(210\) 1.76497 2.91954i 0.121795 0.201467i
\(211\) −14.7356 23.2197i −1.01444 1.59851i −0.779404 0.626522i \(-0.784478\pi\)
−0.235040 0.971986i \(-0.575522\pi\)
\(212\) −0.693173 + 0.0436107i −0.0476073 + 0.00299520i
\(213\) 4.01016 + 2.54493i 0.274772 + 0.174375i
\(214\) 8.84645 10.6935i 0.604731 0.730994i
\(215\) −0.763048 + 18.5575i −0.0520394 + 1.26561i
\(216\) 0.968583 + 0.248690i 0.0659037 + 0.0169212i
\(217\) 11.7820 5.54418i 0.799813 0.376364i
\(218\) −16.2734 5.28754i −1.10217 0.358117i
\(219\) −3.19733 1.75775i −0.216056 0.118778i
\(220\) −3.65315 8.67124i −0.246295 0.584615i
\(221\) −0.278698 0.0352078i −0.0187473 0.00236833i
\(222\) 0.807466 6.39175i 0.0541935 0.428986i
\(223\) 11.7945 7.48501i 0.789817 0.501233i −0.0786965 0.996899i \(-0.525076\pi\)
0.868513 + 0.495666i \(0.165076\pi\)
\(224\) −1.23432 + 0.896785i −0.0824714 + 0.0599189i
\(225\) −4.72448 1.63684i −0.314966 0.109123i
\(226\) 6.57395 + 4.77625i 0.437292 + 0.317712i
\(227\) 20.0837 + 1.26356i 1.33300 + 0.0838654i 0.713238 0.700922i \(-0.247228\pi\)
0.619765 + 0.784787i \(0.287228\pi\)
\(228\) −0.407701 0.741606i −0.0270007 0.0491141i
\(229\) −1.78475 + 3.79279i −0.117940 + 0.250635i −0.955077 0.296359i \(-0.904228\pi\)
0.837137 + 0.546993i \(0.184228\pi\)
\(230\) −12.6938 2.13665i −0.837006 0.140886i
\(231\) −1.20301 + 6.30641i −0.0791524 + 0.414932i
\(232\) 4.00783 + 5.51630i 0.263127 + 0.362163i
\(233\) 12.6918 23.0863i 0.831467 1.51243i −0.0270417 0.999634i \(-0.508609\pi\)
0.858509 0.512799i \(-0.171391\pi\)
\(234\) 0.167980 0.264694i 0.0109812 0.0173036i
\(235\) −5.88370 11.8291i −0.383810 0.771644i
\(236\) 8.12753 + 3.21792i 0.529057 + 0.209468i
\(237\) −3.88205 9.80495i −0.252166 0.636900i
\(238\) −1.05339 + 0.871439i −0.0682811 + 0.0564870i
\(239\) −14.1913 + 3.64371i −0.917961 + 0.235692i −0.677976 0.735084i \(-0.737143\pi\)
−0.239985 + 0.970777i \(0.577143\pi\)
\(240\) 1.66291 + 1.49490i 0.107340 + 0.0964956i
\(241\) 4.76985 1.88852i 0.307253 0.121650i −0.209438 0.977822i \(-0.567164\pi\)
0.516691 + 0.856172i \(0.327164\pi\)
\(242\) 4.59137 + 4.88931i 0.295145 + 0.314297i
\(243\) −0.587785 + 0.809017i −0.0377064 + 0.0518985i
\(244\) 5.92952 + 12.6009i 0.379598 + 0.806688i
\(245\) 10.4386 + 0.429215i 0.666899 + 0.0274215i
\(246\) −5.54524 + 3.04852i −0.353552 + 0.194367i
\(247\) −0.260609 + 0.0497138i −0.0165821 + 0.00316321i
\(248\) 2.12247 + 8.26648i 0.134777 + 0.524922i
\(249\) −11.8272 −0.749521
\(250\) −7.67284 8.13188i −0.485273 0.514306i
\(251\) −4.35840 −0.275100 −0.137550 0.990495i \(-0.543923\pi\)
−0.137550 + 0.990495i \(0.543923\pi\)
\(252\) −0.379426 1.47777i −0.0239016 0.0930907i
\(253\) 23.7951 4.53916i 1.49598 0.285374i
\(254\) −15.9444 + 8.76553i −1.00044 + 0.549998i
\(255\) 1.57124 + 1.24332i 0.0983950 + 0.0778600i
\(256\) −0.425779 0.904827i −0.0266112 0.0565517i
\(257\) 6.04054 8.31409i 0.376799 0.518619i −0.577934 0.816083i \(-0.696141\pi\)
0.954733 + 0.297464i \(0.0961410\pi\)
\(258\) 5.68598 + 6.05495i 0.353994 + 0.376965i
\(259\) −9.13915 + 3.61845i −0.567879 + 0.224839i
\(260\) 0.606806 0.350982i 0.0376325 0.0217670i
\(261\) −6.60431 + 1.69570i −0.408796 + 0.104961i
\(262\) −1.84136 + 1.52331i −0.113760 + 0.0941103i
\(263\) 6.25414 + 15.7961i 0.385647 + 0.974032i 0.984846 + 0.173432i \(0.0554858\pi\)
−0.599199 + 0.800600i \(0.704514\pi\)
\(264\) −3.91249 1.54906i −0.240797 0.0953383i
\(265\) 1.10875 1.08749i 0.0681098 0.0668039i
\(266\) −0.691848 + 1.09018i −0.0424200 + 0.0668432i
\(267\) 1.16016 2.11032i 0.0710006 0.129150i
\(268\) −1.42619 1.96298i −0.0871183 0.119908i
\(269\) 3.53458 18.5289i 0.215507 1.12973i −0.695874 0.718164i \(-0.744983\pi\)
0.911381 0.411563i \(-0.135017\pi\)
\(270\) −2.00208 + 0.995823i −0.121843 + 0.0606038i
\(271\) 1.69857 3.60965i 0.103181 0.219270i −0.846570 0.532277i \(-0.821336\pi\)
0.949751 + 0.313007i \(0.101336\pi\)
\(272\) −0.431682 0.785227i −0.0261746 0.0476114i
\(273\) −0.477359 0.0300329i −0.0288911 0.00181767i
\(274\) −8.75704 6.36236i −0.529032 0.384364i
\(275\) 18.8605 + 9.32519i 1.13733 + 0.562330i
\(276\) −4.65728 + 3.38371i −0.280335 + 0.203675i
\(277\) 8.58077 5.44552i 0.515569 0.327190i −0.252458 0.967608i \(-0.581239\pi\)
0.768026 + 0.640418i \(0.221239\pi\)
\(278\) 0.795673 6.29840i 0.0477213 0.377753i
\(279\) −8.46731 1.06967i −0.506925 0.0640395i
\(280\) 0.776401 3.32205i 0.0463988 0.198531i
\(281\) −9.72207 5.34475i −0.579970 0.318841i 0.164627 0.986356i \(-0.447358\pi\)
−0.744596 + 0.667515i \(0.767358\pi\)
\(282\) −5.61921 1.82579i −0.334619 0.108724i
\(283\) 13.2430 6.23170i 0.787217 0.370436i 0.0102255 0.999948i \(-0.496745\pi\)
0.776991 + 0.629512i \(0.216745\pi\)
\(284\) 4.60032 + 1.18116i 0.272978 + 0.0700890i
\(285\) 1.77419 + 0.658214i 0.105094 + 0.0389893i
\(286\) −0.840885 + 1.01645i −0.0497225 + 0.0601042i
\(287\) 8.15164 + 5.17319i 0.481176 + 0.305364i
\(288\) 0.998027 0.0627905i 0.0588093 0.00369997i
\(289\) 8.67882 + 13.6756i 0.510519 + 0.804449i
\(290\) −14.8466 3.46982i −0.871823 0.203755i
\(291\) −0.654344 10.4005i −0.0383583 0.609688i
\(292\) −3.58402 0.683689i −0.209739 0.0400098i
\(293\) −14.0055 + 4.55065i −0.818208 + 0.265852i −0.688070 0.725644i \(-0.741542\pi\)
−0.130138 + 0.991496i \(0.541542\pi\)
\(294\) 3.40591 3.19837i 0.198637 0.186532i
\(295\) −18.4540 + 6.44277i −1.07443 + 0.375113i
\(296\) −1.20721 6.32843i −0.0701679 0.367833i
\(297\) 2.88057 3.06749i 0.167147 0.177994i
\(298\) −2.92924 + 7.39843i −0.169687 + 0.428579i
\(299\) 0.557686 + 1.71638i 0.0322518 + 0.0992610i
\(300\) −4.99906 0.0967828i −0.288621 0.00558776i
\(301\) 3.91610 12.0525i 0.225720 0.694696i
\(302\) 3.07073 + 2.54033i 0.176701 + 0.146180i
\(303\) 5.73257 + 2.69754i 0.329327 + 0.154970i
\(304\) −0.616916 0.579323i −0.0353826 0.0332264i
\(305\) −28.4579 12.6432i −1.62950 0.723950i
\(306\) 0.888999 0.112307i 0.0508207 0.00642014i
\(307\) 29.1209i 1.66202i 0.556259 + 0.831009i \(0.312236\pi\)
−0.556259 + 0.831009i \(0.687764\pi\)
\(308\) 0.804656 + 6.36951i 0.0458495 + 0.362936i
\(309\) −3.95156 4.77662i −0.224796 0.271732i
\(310\) −15.6794 10.8790i −0.890531 0.617888i
\(311\) −1.05058 + 16.6985i −0.0595730 + 0.946886i 0.848797 + 0.528719i \(0.177327\pi\)
−0.908370 + 0.418167i \(0.862673\pi\)
\(312\) 0.0779635 0.303648i 0.00441382 0.0171907i
\(313\) −7.21279 + 28.0920i −0.407691 + 1.58785i 0.350984 + 0.936382i \(0.385847\pi\)
−0.758675 + 0.651470i \(0.774153\pi\)
\(314\) 0.304469 4.83939i 0.0171822 0.273103i
\(315\) 2.80295 + 1.94481i 0.157928 + 0.109578i
\(316\) −6.72195 8.12544i −0.378139 0.457092i
\(317\) −2.48547 19.6746i −0.139598 1.10503i −0.893824 0.448418i \(-0.851988\pi\)
0.754226 0.656615i \(-0.228012\pi\)
\(318\) 0.694543i 0.0389481i
\(319\) 28.4660 3.59609i 1.59379 0.201343i
\(320\) 2.04347 + 0.907870i 0.114233 + 0.0507515i
\(321\) 10.1169 + 9.50045i 0.564673 + 0.530263i
\(322\) 7.94711 + 3.73963i 0.442875 + 0.208401i
\(323\) −0.584301 0.483376i −0.0325114 0.0268957i
\(324\) −0.309017 + 0.951057i −0.0171676 + 0.0528365i
\(325\) −0.513145 + 1.48111i −0.0284642 + 0.0821573i
\(326\) 2.52689 + 7.77697i 0.139951 + 0.430726i
\(327\) 6.29892 15.9093i 0.348331 0.879784i
\(328\) −4.33179 + 4.61289i −0.239183 + 0.254704i
\(329\) 1.68914 + 8.85476i 0.0931250 + 0.488179i
\(330\) 8.88351 3.10147i 0.489021 0.170730i
\(331\) 12.7863 12.0071i 0.702798 0.659971i −0.248363 0.968667i \(-0.579893\pi\)
0.951161 + 0.308696i \(0.0998925\pi\)
\(332\) −11.2484 + 3.65482i −0.617335 + 0.200584i
\(333\) 6.32843 + 1.20721i 0.346796 + 0.0661549i
\(334\) 0.396049 + 6.29502i 0.0216709 + 0.344448i
\(335\) 5.28317 + 1.23474i 0.288650 + 0.0674609i
\(336\) −0.817512 1.28819i −0.0445989 0.0702766i
\(337\) −11.1839 + 0.703632i −0.609227 + 0.0383293i −0.364408 0.931240i \(-0.618729\pi\)
−0.244819 + 0.969569i \(0.578729\pi\)
\(338\) 10.8933 + 6.91309i 0.592516 + 0.376022i
\(339\) −5.17961 + 6.26107i −0.281318 + 0.340055i
\(340\) 1.87855 + 0.696931i 0.101879 + 0.0377964i
\(341\) 34.7852 + 8.93133i 1.88373 + 0.483659i
\(342\) 0.765742 0.360331i 0.0414066 0.0194845i
\(343\) −16.9367 5.50308i −0.914498 0.297138i
\(344\) 7.27877 + 4.00154i 0.392445 + 0.215749i
\(345\) 2.92948 12.5346i 0.157718 0.674841i
\(346\) −1.28422 0.162234i −0.0690399 0.00872177i
\(347\) 4.16401 32.9616i 0.223536 1.76947i −0.337160 0.941447i \(-0.609466\pi\)
0.560696 0.828022i \(-0.310534\pi\)
\(348\) −5.75707 + 3.65355i −0.308611 + 0.195851i
\(349\) −2.09449 + 1.52173i −0.112115 + 0.0814565i −0.642430 0.766344i \(-0.722074\pi\)
0.530315 + 0.847801i \(0.322074\pi\)
\(350\) 3.54498 + 6.75479i 0.189487 + 0.361059i
\(351\) 0.253624 + 0.184269i 0.0135375 + 0.00983555i
\(352\) −4.19968 0.264222i −0.223844 0.0140831i
\(353\) 8.07373 + 14.6861i 0.429721 + 0.781660i 0.999185 0.0403560i \(-0.0128492\pi\)
−0.569464 + 0.822016i \(0.692849\pi\)
\(354\) −3.72190 + 7.90944i −0.197817 + 0.420382i
\(355\) −9.50896 + 4.72969i −0.504683 + 0.251026i
\(356\) 0.451252 2.36555i 0.0239163 0.125374i
\(357\) −0.803577 1.10603i −0.0425298 0.0585373i
\(358\) −2.30182 + 4.18700i −0.121655 + 0.221290i
\(359\) −5.85701 + 9.22917i −0.309121 + 0.487097i −0.963000 0.269503i \(-0.913141\pi\)
0.653879 + 0.756599i \(0.273141\pi\)
\(360\) −1.59637 + 1.56576i −0.0841360 + 0.0825229i
\(361\) 16.9998 + 6.73072i 0.894729 + 0.354248i
\(362\) −4.17486 10.5445i −0.219426 0.554206i
\(363\) −5.16796 + 4.27531i −0.271248 + 0.224395i
\(364\) −0.463276 + 0.118949i −0.0242823 + 0.00623463i
\(365\) 7.06234 4.08492i 0.369660 0.213814i
\(366\) −12.9483 + 5.12660i −0.676819 + 0.267972i
\(367\) −23.2637 24.7733i −1.21436 1.29316i −0.943825 0.330446i \(-0.892801\pi\)
−0.270531 0.962711i \(-0.587199\pi\)
\(368\) −3.38371 + 4.65728i −0.176388 + 0.242777i
\(369\) −2.69432 5.72572i −0.140261 0.298069i
\(370\) 11.2970 + 8.93928i 0.587301 + 0.464731i
\(371\) −0.928592 + 0.510498i −0.0482101 + 0.0265037i
\(372\) −8.38344 + 1.59923i −0.434661 + 0.0829160i
\(373\) −8.98011 34.9752i −0.464973 1.81095i −0.576389 0.817175i \(-0.695539\pi\)
0.111416 0.993774i \(-0.464461\pi\)
\(374\) −3.77063 −0.194975
\(375\) 8.59762 7.14709i 0.443979 0.369074i
\(376\) −5.90838 −0.304702
\(377\) 0.531596 + 2.07043i 0.0273786 + 0.106633i
\(378\) 1.49868 0.285888i 0.0770836 0.0147045i
\(379\) 19.3251 10.6241i 0.992665 0.545722i 0.0993016 0.995057i \(-0.468339\pi\)
0.893363 + 0.449335i \(0.148339\pi\)
\(380\) 1.89076 + 0.0777440i 0.0969937 + 0.00398818i
\(381\) −7.74707 16.4634i −0.396894 0.843444i
\(382\) −5.80456 + 7.98929i −0.296987 + 0.408767i
\(383\) −4.81556 5.12805i −0.246064 0.262031i 0.594067 0.804416i \(-0.297522\pi\)
−0.840130 + 0.542385i \(0.817522\pi\)
\(384\) 0.929776 0.368125i 0.0474475 0.0187858i
\(385\) −10.6761 9.59748i −0.544104 0.489133i
\(386\) −9.61467 + 2.46863i −0.489374 + 0.125650i
\(387\) −6.40003 + 5.29457i −0.325332 + 0.269138i
\(388\) −3.83625 9.68926i −0.194756 0.491898i
\(389\) −24.7975 9.81804i −1.25729 0.497795i −0.357413 0.933947i \(-0.616341\pi\)
−0.899873 + 0.436152i \(0.856341\pi\)
\(390\) 0.312187 + 0.627647i 0.0158082 + 0.0317821i
\(391\) −2.76400 + 4.35537i −0.139781 + 0.220260i
\(392\) 2.25087 4.09431i 0.113686 0.206794i
\(393\) −1.40468 1.93338i −0.0708569 0.0975261i
\(394\) 4.18289 21.9275i 0.210731 1.10469i
\(395\) 23.2533 + 3.91404i 1.17000 + 0.196937i
\(396\) 1.79167 3.80750i 0.0900350 0.191334i
\(397\) 9.18729 + 16.7116i 0.461097 + 0.838732i 0.999993 0.00363990i \(-0.00115862\pi\)
−0.538897 + 0.842372i \(0.681159\pi\)
\(398\) 10.0486 + 0.632206i 0.503692 + 0.0316896i
\(399\) −1.04459 0.758936i −0.0522947 0.0379943i
\(400\) −4.78430 + 1.45275i −0.239215 + 0.0726375i
\(401\) 24.0792 17.4946i 1.20246 0.873638i 0.207935 0.978143i \(-0.433326\pi\)
0.994524 + 0.104505i \(0.0333258\pi\)
\(402\) 2.04866 1.30012i 0.102178 0.0648439i
\(403\) −0.335338 + 2.65448i −0.0167044 + 0.132229i
\(404\) 6.28558 + 0.794053i 0.312719 + 0.0395056i
\(405\) −0.868146 2.06066i −0.0431385 0.102395i
\(406\) 9.11625 + 5.01170i 0.452432 + 0.248726i
\(407\) −25.7833 8.37750i −1.27803 0.415257i
\(408\) 0.810783 0.381526i 0.0401398 0.0188883i
\(409\) −9.01595 2.31490i −0.445810 0.114465i 0.0191097 0.999817i \(-0.493917\pi\)
−0.464920 + 0.885353i \(0.653917\pi\)
\(410\) 0.581318 14.1378i 0.0287093 0.698217i
\(411\) 6.89967 8.34026i 0.340335 0.411395i
\(412\) −5.23421 3.32173i −0.257871 0.163650i
\(413\) 13.3104 0.837420i 0.654963 0.0412068i
\(414\) −3.08460 4.86055i −0.151600 0.238883i
\(415\) 13.6821 22.6323i 0.671626 1.11097i
\(416\) −0.0196846 0.312878i −0.000965119 0.0153401i
\(417\) 6.23601 + 1.18958i 0.305379 + 0.0582541i
\(418\) −3.38687 + 1.10046i −0.165657 + 0.0538252i
\(419\) −9.88216 + 9.27996i −0.482775 + 0.453356i −0.887315 0.461165i \(-0.847432\pi\)
0.404540 + 0.914520i \(0.367432\pi\)
\(420\) 3.26675 + 0.983462i 0.159401 + 0.0479880i
\(421\) −4.90864 25.7320i −0.239232 1.25410i −0.875722 0.482815i \(-0.839614\pi\)
0.636490 0.771285i \(-0.280386\pi\)
\(422\) 18.8256 20.0472i 0.916414 0.975882i
\(423\) 2.17502 5.49348i 0.105753 0.267102i
\(424\) −0.214626 0.660550i −0.0104231 0.0320791i
\(425\) −4.19684 + 1.56837i −0.203577 + 0.0760773i
\(426\) −1.46769 + 4.51707i −0.0711096 + 0.218853i
\(427\) 16.3713 + 13.5436i 0.792265 + 0.655419i
\(428\) 12.5576 + 5.90915i 0.606994 + 0.285630i
\(429\) −0.961650 0.903049i −0.0464289 0.0435996i
\(430\) −18.1643 + 3.87599i −0.875959 + 0.186917i
\(431\) −22.1706 + 2.80080i −1.06792 + 0.134910i −0.639593 0.768714i \(-0.720897\pi\)
−0.428328 + 0.903623i \(0.640897\pi\)
\(432\) 1.00000i 0.0481125i
\(433\) −4.06717 32.1950i −0.195456 1.54719i −0.718889 0.695125i \(-0.755349\pi\)
0.523433 0.852067i \(-0.324651\pi\)
\(434\) 8.30006 + 10.0331i 0.398416 + 0.481602i
\(435\) 4.39520 14.5994i 0.210734 0.699989i
\(436\) 1.07440 17.0771i 0.0514544 0.817844i
\(437\) −1.21157 + 4.71876i −0.0579574 + 0.225729i
\(438\) 0.907382 3.53402i 0.0433564 0.168862i
\(439\) 0.411834 6.54592i 0.0196558 0.312420i −0.975898 0.218226i \(-0.929973\pi\)
0.995554 0.0941932i \(-0.0300271\pi\)
\(440\) 7.49031 5.69483i 0.357087 0.271490i
\(441\) 2.97820 + 3.60002i 0.141819 + 0.171430i
\(442\) −0.0352078 0.278698i −0.00167466 0.0132563i
\(443\) 0.749076i 0.0355897i 0.999842 + 0.0177948i \(0.00566457\pi\)
−0.999842 + 0.0177948i \(0.994335\pi\)
\(444\) 6.39175 0.807466i 0.303339 0.0383206i
\(445\) 2.69615 + 4.66133i 0.127810 + 0.220968i
\(446\) 10.1830 + 9.56249i 0.482180 + 0.452797i
\(447\) −7.19990 3.38802i −0.340544 0.160248i
\(448\) −1.17557 0.972519i −0.0555406 0.0459472i
\(449\) −6.12307 + 18.8449i −0.288965 + 0.889344i 0.696217 + 0.717832i \(0.254865\pi\)
−0.985182 + 0.171512i \(0.945135\pi\)
\(450\) 0.410486 4.98312i 0.0193505 0.234907i
\(451\) 8.22851 + 25.3247i 0.387465 + 1.19250i
\(452\) −2.99132 + 7.55522i −0.140700 + 0.355368i
\(453\) −2.72813 + 2.90516i −0.128179 + 0.136497i
\(454\) 3.77075 + 19.7670i 0.176970 + 0.927710i
\(455\) 0.609691 0.878717i 0.0285828 0.0411949i
\(456\) 0.616916 0.579323i 0.0288897 0.0271293i
\(457\) −25.0238 + 8.13071i −1.17056 + 0.380339i −0.828853 0.559467i \(-0.811006\pi\)
−0.341710 + 0.939806i \(0.611006\pi\)
\(458\) −4.11748 0.785451i −0.192397 0.0367017i
\(459\) 0.0562644 + 0.894296i 0.00262620 + 0.0417422i
\(460\) −1.08731 12.8264i −0.0506959 0.598033i
\(461\) −8.73519 13.7645i −0.406839 0.641075i 0.577699 0.816250i \(-0.303951\pi\)
−0.984537 + 0.175175i \(0.943951\pi\)
\(462\) −6.40746 + 0.403123i −0.298102 + 0.0187550i
\(463\) −5.97399 3.79121i −0.277635 0.176192i 0.389718 0.920934i \(-0.372573\pi\)
−0.667353 + 0.744742i \(0.732573\pi\)
\(464\) −4.34629 + 5.25376i −0.201771 + 0.243900i
\(465\) 11.8421 14.9654i 0.549164 0.694002i
\(466\) 25.5173 + 6.55173i 1.18207 + 0.303503i
\(467\) −11.0153 + 5.18340i −0.509727 + 0.239859i −0.663403 0.748262i \(-0.730889\pi\)
0.153677 + 0.988121i \(0.450889\pi\)
\(468\) 0.298153 + 0.0968759i 0.0137821 + 0.00447809i
\(469\) −3.24402 1.78342i −0.149795 0.0823505i
\(470\) 9.99423 8.64063i 0.460999 0.398562i
\(471\) 4.81072 + 0.607736i 0.221666 + 0.0280030i
\(472\) −1.09559 + 8.67245i −0.0504284 + 0.399182i
\(473\) 29.5113 18.7284i 1.35693 0.861133i
\(474\) 8.53148 6.19848i 0.391864 0.284706i
\(475\) −3.31197 + 2.63360i −0.151964 + 0.120838i
\(476\) −1.10603 0.803577i −0.0506947 0.0368319i
\(477\) 0.693173 + 0.0436107i 0.0317382 + 0.00199680i
\(478\) −7.05848 12.8393i −0.322847 0.587257i
\(479\) 3.75618 7.98229i 0.171624 0.364720i −0.800448 0.599402i \(-0.795405\pi\)
0.972072 + 0.234682i \(0.0754050\pi\)
\(480\) −1.03439 + 1.98243i −0.0472132 + 0.0904852i
\(481\) 0.378458 1.98395i 0.0172562 0.0904601i
\(482\) 3.01540 + 4.15034i 0.137348 + 0.189043i
\(483\) −4.23125 + 7.69662i −0.192529 + 0.350208i
\(484\) −3.59388 + 5.66305i −0.163358 + 0.257411i
\(485\) 20.6591 + 10.7794i 0.938079 + 0.489469i
\(486\) −0.929776 0.368125i −0.0421755 0.0166985i
\(487\) −13.1597 33.2376i −0.596323 1.50614i −0.843478 0.537164i \(-0.819496\pi\)
0.247155 0.968976i \(-0.420504\pi\)
\(488\) −10.7304 + 8.87694i −0.485741 + 0.401840i
\(489\) −7.92029 + 2.03358i −0.358168 + 0.0919618i
\(490\) 2.18025 + 10.2174i 0.0984936 + 0.461576i
\(491\) −3.97023 + 1.57192i −0.179174 + 0.0709399i −0.455999 0.889980i \(-0.650718\pi\)
0.276825 + 0.960920i \(0.410718\pi\)
\(492\) −4.33179 4.61289i −0.195292 0.207965i
\(493\) −3.59127 + 4.94296i −0.161743 + 0.222620i
\(494\) −0.112963 0.240058i −0.00508243 0.0108007i
\(495\) 2.53755 + 9.06072i 0.114054 + 0.407249i
\(496\) −7.47893 + 4.11158i −0.335814 + 0.184615i
\(497\) 7.11801 1.35783i 0.319286 0.0609071i
\(498\) −2.94131 11.4557i −0.131803 0.513341i
\(499\) −24.5825 −1.10046 −0.550232 0.835012i \(-0.685461\pi\)
−0.550232 + 0.835012i \(0.685461\pi\)
\(500\) 5.96825 9.45410i 0.266908 0.422800i
\(501\) −6.30747 −0.281797
\(502\) −1.08389 4.22147i −0.0483764 0.188414i
\(503\) −2.40681 + 0.459124i −0.107314 + 0.0204713i −0.240759 0.970585i \(-0.577396\pi\)
0.133444 + 0.991056i \(0.457396\pi\)
\(504\) 1.33698 0.735012i 0.0595539 0.0327400i
\(505\) −11.7935 + 7.84908i −0.524805 + 0.349280i
\(506\) 10.3141 + 21.9187i 0.458520 + 0.974404i
\(507\) −7.58344 + 10.4377i −0.336792 + 0.463555i
\(508\) −12.4554 13.2636i −0.552617 0.588478i
\(509\) −3.49756 + 1.38478i −0.155027 + 0.0613794i −0.444356 0.895850i \(-0.646568\pi\)
0.289330 + 0.957230i \(0.406568\pi\)
\(510\) −0.813510 + 1.83108i −0.0360229 + 0.0810816i
\(511\) −5.39186 + 1.38439i −0.238522 + 0.0612420i
\(512\) 0.770513 0.637424i 0.0340522 0.0281704i
\(513\) 0.311539 + 0.786857i 0.0137548 + 0.0347406i
\(514\) 9.55511 + 3.78314i 0.421458 + 0.166867i
\(515\) 13.7117 2.03588i 0.604208 0.0897114i
\(516\) −4.45068 + 7.01315i −0.195930 + 0.308737i
\(517\) −11.9776 + 21.7871i −0.526772 + 0.958195i
\(518\) −5.77758 7.95216i −0.253852 0.349398i
\(519\) 0.242551 1.27150i 0.0106468 0.0558125i
\(520\) 0.490862 + 0.500457i 0.0215257 + 0.0219465i
\(521\) −14.5347 + 30.8878i −0.636776 + 1.35322i 0.282371 + 0.959305i \(0.408879\pi\)
−0.919148 + 0.393913i \(0.871121\pi\)
\(522\) −3.28485 5.97512i −0.143774 0.261524i
\(523\) −10.3149 0.648957i −0.451038 0.0283769i −0.164353 0.986402i \(-0.552553\pi\)
−0.286686 + 0.958025i \(0.592553\pi\)
\(524\) −1.93338 1.40468i −0.0844601 0.0613639i
\(525\) −6.96406 + 3.11384i −0.303936 + 0.135899i
\(526\) −13.7445 + 9.98599i −0.599291 + 0.435410i
\(527\) −6.45705 + 4.09777i −0.281273 + 0.178502i
\(528\) 0.527401 4.17481i 0.0229522 0.181685i
\(529\) 10.0597 + 1.27084i 0.437380 + 0.0552540i
\(530\) 1.32906 + 0.803466i 0.0577306 + 0.0349003i
\(531\) −7.66013 4.21119i −0.332421 0.182750i
\(532\) −1.22798 0.398996i −0.0532399 0.0172987i
\(533\) −1.79500 + 0.844661i −0.0777499 + 0.0365863i
\(534\) 2.33254 + 0.598895i 0.100939 + 0.0259167i
\(535\) −29.8833 + 8.36913i −1.29197 + 0.361829i
\(536\) 1.54663 1.86955i 0.0668042 0.0807524i
\(537\) −4.03421 2.56019i −0.174089 0.110480i
\(538\) 18.8258 1.18442i 0.811638 0.0510639i
\(539\) −10.5347 16.6001i −0.453763 0.715016i
\(540\) −1.46243 1.69153i −0.0629332 0.0727920i
\(541\) −0.231113 3.67343i −0.00993631 0.157933i −0.999866 0.0163729i \(-0.994788\pi\)
0.989930 0.141560i \(-0.0452119\pi\)
\(542\) 3.91866 + 0.747524i 0.168321 + 0.0321089i
\(543\) 10.7858 3.50453i 0.462864 0.150394i
\(544\) 0.653203 0.613398i 0.0280058 0.0262992i
\(545\) 23.1567 + 30.4577i 0.991925 + 1.30466i
\(546\) −0.0896250 0.469831i −0.00383560 0.0201069i
\(547\) −13.8188 + 14.7156i −0.590850 + 0.629192i −0.953015 0.302922i \(-0.902038\pi\)
0.362165 + 0.932114i \(0.382038\pi\)
\(548\) 3.98469 10.0642i 0.170218 0.429920i
\(549\) −4.30345 13.2447i −0.183667 0.565269i
\(550\) −4.34180 + 20.5871i −0.185135 + 0.877836i
\(551\) −1.78316 + 5.48800i −0.0759651 + 0.233796i
\(552\) −4.43562 3.66946i −0.188793 0.156183i
\(553\) −14.5580 6.85047i −0.619069 0.291312i
\(554\) 7.40839 + 6.95694i 0.314752 + 0.295572i
\(555\) −9.63099 + 10.7134i −0.408813 + 0.454757i
\(556\) 6.29840 0.795673i 0.267112 0.0337440i
\(557\) 23.4697i 0.994442i 0.867624 + 0.497221i \(0.165646\pi\)
−0.867624 + 0.497221i \(0.834354\pi\)
\(558\) −1.06967 8.46731i −0.0452827 0.358450i
\(559\) 1.65983 + 2.00639i 0.0702034 + 0.0848613i
\(560\) 3.41077 0.0741516i 0.144131 0.00313348i
\(561\) 0.236760 3.76319i 0.00999601 0.158882i
\(562\) 2.75906 10.7458i 0.116384 0.453285i
\(563\) −0.897459 + 3.49537i −0.0378234 + 0.147312i −0.984690 0.174314i \(-0.944229\pi\)
0.946867 + 0.321626i \(0.104229\pi\)
\(564\) 0.370990 5.89672i 0.0156215 0.248297i
\(565\) −5.98909 17.1545i −0.251963 0.721696i
\(566\) 9.32933 + 11.2772i 0.392141 + 0.474017i
\(567\) 0.191221 + 1.51367i 0.00803053 + 0.0635682i
\(568\) 4.74953i 0.199286i
\(569\) −6.52635 + 0.824469i −0.273599 + 0.0345635i −0.260935 0.965356i \(-0.584031\pi\)
−0.0126633 + 0.999920i \(0.504031\pi\)
\(570\) −0.196312 + 1.88214i −0.00822261 + 0.0788343i
\(571\) 29.5026 + 27.7048i 1.23464 + 1.15941i 0.981394 + 0.192007i \(0.0614997\pi\)
0.253250 + 0.967401i \(0.418500\pi\)
\(572\) −1.19364 0.561685i −0.0499086 0.0234852i
\(573\) −7.60905 6.29475i −0.317873 0.262967i
\(574\) −2.98343 + 9.18206i −0.124526 + 0.383252i
\(575\) 20.5970 + 20.1061i 0.858953 + 0.838484i
\(576\) 0.309017 + 0.951057i 0.0128757 + 0.0396274i
\(577\) −15.1144 + 38.1746i −0.629221 + 1.58923i 0.168164 + 0.985759i \(0.446216\pi\)
−0.797385 + 0.603471i \(0.793784\pi\)
\(578\) −11.0877 + 11.8072i −0.461186 + 0.491113i
\(579\) −1.86005 9.75070i −0.0773009 0.405225i
\(580\) −0.331392 15.2431i −0.0137603 0.632935i
\(581\) −13.1541 + 12.3525i −0.545725 + 0.512470i
\(582\) 9.91102 3.22029i 0.410825 0.133485i
\(583\) −2.87086 0.547646i −0.118899 0.0226812i
\(584\) −0.229101 3.64145i −0.00948025 0.150684i
\(585\) −0.646011 + 0.272161i −0.0267093 + 0.0112525i
\(586\) −7.89070 12.4338i −0.325962 0.513634i
\(587\) −30.4434 + 1.91534i −1.25653 + 0.0790544i −0.677055 0.735932i \(-0.736744\pi\)
−0.579479 + 0.814987i \(0.696744\pi\)
\(588\) 3.94490 + 2.50351i 0.162685 + 0.103243i
\(589\) −4.60393 + 5.56520i −0.189702 + 0.229310i
\(590\) −10.8297 16.2720i −0.445851 0.669906i
\(591\) 21.6216 + 5.55147i 0.889392 + 0.228357i
\(592\) 5.82939 2.74310i 0.239587 0.112741i
\(593\) −24.6696 8.01565i −1.01306 0.329163i −0.244988 0.969526i \(-0.578784\pi\)
−0.768072 + 0.640363i \(0.778784\pi\)
\(594\) 3.68749 + 2.02721i 0.151299 + 0.0831776i
\(595\) 3.04606 0.258218i 0.124876 0.0105859i
\(596\) −7.89447 0.997303i −0.323370 0.0408511i
\(597\) −1.26192 + 9.98910i −0.0516468 + 0.408827i
\(598\) −1.52377 + 0.967013i −0.0623115 + 0.0395441i
\(599\) 26.2026 19.0373i 1.07061 0.777842i 0.0945863 0.995517i \(-0.469847\pi\)
0.976021 + 0.217675i \(0.0698472\pi\)
\(600\) −1.14947 4.86608i −0.0469271 0.198657i
\(601\) 34.2553 + 24.8879i 1.39730 + 1.01520i 0.995019 + 0.0996835i \(0.0317830\pi\)
0.402282 + 0.915516i \(0.368217\pi\)
\(602\) 12.6478 + 0.795730i 0.515484 + 0.0324315i
\(603\) 1.16892 + 2.12625i 0.0476019 + 0.0865875i
\(604\) −1.69686 + 3.60601i −0.0690443 + 0.146727i
\(605\) −2.20267 14.8350i −0.0895514 0.603130i
\(606\) −1.18716 + 6.22332i −0.0482251 + 0.252805i
\(607\) −13.5401 18.6364i −0.549576 0.756426i 0.440379 0.897812i \(-0.354844\pi\)
−0.989955 + 0.141386i \(0.954844\pi\)
\(608\) 0.407701 0.741606i 0.0165345 0.0300761i
\(609\) −5.57422 + 8.78357i −0.225879 + 0.355928i
\(610\) 5.16884 30.7081i 0.209280 1.24334i
\(611\) −1.72219 0.681863i −0.0696723 0.0275852i
\(612\) 0.329863 + 0.833140i 0.0133339 + 0.0336777i
\(613\) −5.32350 + 4.40399i −0.215014 + 0.177875i −0.738696 0.674039i \(-0.764558\pi\)
0.523682 + 0.851914i \(0.324558\pi\)
\(614\) −28.2060 + 7.24208i −1.13830 + 0.292266i
\(615\) 14.0734 + 1.46789i 0.567495 + 0.0591911i
\(616\) −5.96929 + 2.36341i −0.240509 + 0.0952244i
\(617\) −6.75733 7.19582i −0.272040 0.289693i 0.578413 0.815744i \(-0.303672\pi\)
−0.850453 + 0.526051i \(0.823672\pi\)
\(618\) 3.64384 5.01531i 0.146577 0.201745i
\(619\) −10.0951 21.4533i −0.405758 0.862279i −0.998385 0.0568027i \(-0.981909\pi\)
0.592628 0.805477i \(-0.298091\pi\)
\(620\) 6.63795 17.8923i 0.266586 0.718573i
\(621\) 5.04464 2.77332i 0.202435 0.111289i
\(622\) −16.4352 + 3.13518i −0.658990 + 0.125709i
\(623\) −0.913735 3.55876i −0.0366080 0.142579i
\(624\) 0.313497 0.0125499
\(625\) 3.73052 + 24.7201i 0.149221 + 0.988804i
\(626\) −29.0031 −1.15920
\(627\) −0.885625 3.44928i −0.0353684 0.137751i
\(628\) 4.76307 0.908604i 0.190067 0.0362573i
\(629\) 5.05887 2.78114i 0.201710 0.110891i
\(630\) −1.18664 + 3.19855i −0.0472770 + 0.127433i
\(631\) −12.4168 26.3870i −0.494305 1.05045i −0.983936 0.178521i \(-0.942869\pi\)
0.489631 0.871930i \(-0.337131\pi\)
\(632\) 6.19848 8.53148i 0.246562 0.339364i
\(633\) 18.8256 + 20.0472i 0.748249 + 0.796804i
\(634\) 18.4383 7.30025i 0.732280 0.289930i
\(635\) 40.4658 + 4.22068i 1.60584 + 0.167493i
\(636\) 0.672723 0.172726i 0.0266752 0.00684903i
\(637\) 1.12860 0.933655i 0.0447166 0.0369928i
\(638\) 10.5623 + 26.6774i 0.418167 + 1.05617i
\(639\) −4.41600 1.74842i −0.174694 0.0691664i
\(640\) −0.371158 + 2.20505i −0.0146713 + 0.0871622i
\(641\) 25.1105 39.5678i 0.991806 1.56284i 0.176097 0.984373i \(-0.443653\pi\)
0.815709 0.578463i \(-0.196347\pi\)
\(642\) −6.68599 + 12.1618i −0.263875 + 0.479987i
\(643\) −3.64778 5.02073i −0.143854 0.197998i 0.731010 0.682367i \(-0.239049\pi\)
−0.874864 + 0.484369i \(0.839049\pi\)
\(644\) −1.64577 + 8.62745i −0.0648526 + 0.339969i
\(645\) −2.72780 18.3718i −0.107407 0.723389i
\(646\) 0.322880 0.686155i 0.0127035 0.0269964i
\(647\) 17.7368 + 32.2632i 0.697307 + 1.26840i 0.953390 + 0.301742i \(0.0975682\pi\)
−0.256082 + 0.966655i \(0.582432\pi\)
\(648\) −0.998027 0.0627905i −0.0392062 0.00246664i
\(649\) 29.7586 + 21.6209i 1.16813 + 0.848693i
\(650\) −1.56219 0.128686i −0.0612743 0.00504748i
\(651\) −10.5344 + 7.65370i −0.412876 + 0.299972i
\(652\) −6.90423 + 4.38156i −0.270390 + 0.171595i
\(653\) 3.67930 29.1247i 0.143982 1.13974i −0.740131 0.672463i \(-0.765236\pi\)
0.884113 0.467273i \(-0.154764\pi\)
\(654\) 16.9759 + 2.14456i 0.663811 + 0.0838588i
\(655\) 5.32463 0.451375i 0.208051 0.0176367i
\(656\) −5.54524 3.04852i −0.216505 0.119025i
\(657\) 3.47007 + 1.12749i 0.135380 + 0.0439877i
\(658\) −8.15650 + 3.83816i −0.317973 + 0.149627i
\(659\) −28.2459 7.25233i −1.10031 0.282511i −0.345474 0.938428i \(-0.612282\pi\)
−0.754832 + 0.655918i \(0.772282\pi\)
\(660\) 5.21327 + 7.83311i 0.202926 + 0.304904i
\(661\) 26.2635 31.7471i 1.02153 1.23482i 0.0497941 0.998760i \(-0.484143\pi\)
0.971738 0.236061i \(-0.0758565\pi\)
\(662\) 14.8097 + 9.39853i 0.575596 + 0.365284i
\(663\) 0.280359 0.0176387i 0.0108883 0.000685031i
\(664\) −6.33735 9.98607i −0.245937 0.387535i
\(665\) 2.66068 1.12093i 0.103177 0.0434679i
\(666\) 0.404531 + 6.42984i 0.0156753 + 0.249151i
\(667\) 38.5570 + 7.35514i 1.49293 + 0.284792i
\(668\) −5.99876 + 1.94912i −0.232099 + 0.0754135i
\(669\) −10.1830 + 9.56249i −0.393698 + 0.369707i
\(670\) 0.117926 + 5.42426i 0.00455587 + 0.209557i
\(671\) 10.9808 + 57.5636i 0.423911 + 2.22222i
\(672\) 1.04441 1.11219i 0.0402892 0.0429036i
\(673\) −13.3535 + 33.7272i −0.514741 + 1.30009i 0.407406 + 0.913247i \(0.366433\pi\)
−0.922147 + 0.386839i \(0.873567\pi\)
\(674\) −3.46285 10.6576i −0.133384 0.410514i
\(675\) 4.94751 + 0.722568i 0.190430 + 0.0278117i
\(676\) −3.98685 + 12.2703i −0.153340 + 0.471933i
\(677\) 8.78215 + 7.26523i 0.337526 + 0.279225i 0.790709 0.612192i \(-0.209712\pi\)
−0.453184 + 0.891417i \(0.649712\pi\)
\(678\) −7.35248 3.45982i −0.282370 0.132873i
\(679\) −11.5902 10.8839i −0.444790 0.417686i
\(680\) −0.207859 + 1.99285i −0.00797104 + 0.0764223i
\(681\) −19.9647 + 2.52213i −0.765051 + 0.0966484i
\(682\) 35.9135i 1.37520i
\(683\) −1.72927 13.6886i −0.0661685 0.523778i −0.990009 0.141001i \(-0.954968\pi\)
0.923841 0.382777i \(-0.125032\pi\)
\(684\) 0.539443 + 0.652074i 0.0206261 + 0.0249327i
\(685\) 7.97797 + 22.8512i 0.304823 + 0.873101i
\(686\) 1.11820 17.7732i 0.0426929 0.678584i
\(687\) 1.04244 4.06004i 0.0397716 0.154900i
\(688\) −2.06567 + 8.04524i −0.0787528 + 0.306722i
\(689\) 0.0136718 0.217308i 0.000520855 0.00827876i
\(690\) 12.8694 0.279786i 0.489928 0.0106513i
\(691\) −29.2482 35.3550i −1.11265 1.34497i −0.932434 0.361340i \(-0.882319\pi\)
−0.180219 0.983627i \(-0.557681\pi\)
\(692\) −0.162234 1.28422i −0.00616722 0.0488186i
\(693\) 6.42013i 0.243881i
\(694\) 32.9616 4.16401i 1.25120 0.158064i
\(695\) −9.49033 + 10.5569i −0.359989 + 0.400446i
\(696\) −4.97049 4.66760i −0.188406 0.176925i
\(697\) −5.13061 2.41428i −0.194336 0.0914475i
\(698\) −1.99480 1.65024i −0.0755044 0.0624626i
\(699\) −8.14105 + 25.0556i −0.307923 + 0.947689i
\(700\) −5.66098 + 5.11345i −0.213965 + 0.193270i
\(701\) 10.5557 + 32.4872i 0.398685 + 1.22703i 0.926054 + 0.377390i \(0.123178\pi\)
−0.527369 + 0.849636i \(0.676822\pi\)
\(702\) −0.115406 + 0.291482i −0.00435572 + 0.0110013i
\(703\) 3.73231 3.97451i 0.140767 0.149902i
\(704\) −0.788498 4.13345i −0.0297177 0.155785i
\(705\) 7.99603 + 10.5171i 0.301148 + 0.396095i
\(706\) −12.2168 + 11.4724i −0.459786 + 0.431768i
\(707\) 9.19304 2.98700i 0.345740 0.112338i
\(708\) −8.58654 1.63797i −0.322702 0.0615587i
\(709\) 1.77022 + 28.1369i 0.0664822 + 1.05670i 0.879941 + 0.475082i \(0.157582\pi\)
−0.813459 + 0.581622i \(0.802418\pi\)
\(710\) −6.94588 8.03399i −0.260674 0.301510i
\(711\) 5.65055 + 8.90385i 0.211912 + 0.333920i
\(712\) 2.40345 0.151212i 0.0900731 0.00566692i
\(713\) 41.4829 + 26.3258i 1.55355 + 0.985910i
\(714\) 0.871439 1.05339i 0.0326128 0.0394221i
\(715\) 2.84051 0.795513i 0.106229 0.0297505i
\(716\) −4.62790 1.18824i −0.172953 0.0444067i
\(717\) 13.2572 6.23836i 0.495099 0.232976i
\(718\) −10.3958 3.37780i −0.387968 0.126058i
\(719\) 22.7298 + 12.4958i 0.847677 + 0.466015i 0.845495 0.533983i \(-0.179305\pi\)
0.00218210 + 0.999998i \(0.499305\pi\)
\(720\) −1.91357 1.15683i −0.0713146 0.0431124i
\(721\) −9.38365 1.18543i −0.349465 0.0441477i
\(722\) −2.29157 + 18.1396i −0.0852833 + 0.675087i
\(723\) −4.33149 + 2.74885i −0.161090 + 0.102231i
\(724\) 9.17498 6.66601i 0.340985 0.247740i
\(725\) 22.8526 + 25.2995i 0.848723 + 0.939601i
\(726\) −5.42621 3.94237i −0.201386 0.146315i
\(727\) 36.4503 + 2.29326i 1.35187 + 0.0850522i 0.722130 0.691757i \(-0.243163\pi\)
0.629736 + 0.776809i \(0.283163\pi\)
\(728\) −0.230424 0.419140i −0.00854009 0.0155344i
\(729\) 0.425779 0.904827i 0.0157696 0.0335121i
\(730\) 5.71291 + 5.82459i 0.211444 + 0.215578i
\(731\) −1.39466 + 7.31105i −0.0515833 + 0.270409i
\(732\) −8.18566 11.2666i −0.302551 0.416425i
\(733\) 9.06548 16.4900i 0.334841 0.609074i −0.654267 0.756264i \(-0.727023\pi\)
0.989108 + 0.147190i \(0.0470228\pi\)
\(734\) 18.2096 28.6937i 0.672128 1.05910i
\(735\) −10.3341 + 1.53439i −0.381181 + 0.0565968i
\(736\) −5.35245 2.11919i −0.197294 0.0781142i
\(737\) −3.75861 9.49316i −0.138450 0.349685i
\(738\) 4.87578 4.03360i 0.179480 0.148479i
\(739\) 24.8325 6.37589i 0.913477 0.234541i 0.237434 0.971404i \(-0.423694\pi\)
0.676042 + 0.736863i \(0.263694\pi\)
\(740\) −5.84900 + 13.1652i −0.215014 + 0.483961i
\(741\) 0.246677 0.0976664i 0.00906191 0.00358787i
\(742\) −0.725391 0.772463i −0.0266299 0.0283580i
\(743\) −18.3948 + 25.3183i −0.674841 + 0.928839i −0.999858 0.0168695i \(-0.994630\pi\)
0.325017 + 0.945708i \(0.394630\pi\)
\(744\) −3.63386 7.72234i −0.133224 0.283115i
\(745\) 14.8122 9.85817i 0.542679 0.361175i
\(746\) 31.6432 17.3960i 1.15854 0.636912i
\(747\) 11.6177 2.21620i 0.425071 0.0810866i
\(748\) −0.937717 3.65217i −0.0342863 0.133536i
\(749\) 21.1744 0.773694
\(750\) 9.06070 + 6.55010i 0.330850 + 0.239176i
\(751\) −14.7583 −0.538540 −0.269270 0.963065i \(-0.586782\pi\)
−0.269270 + 0.963065i \(0.586782\pi\)
\(752\) −1.46936 5.72276i −0.0535819 0.208688i
\(753\) 4.28120 0.816683i 0.156016 0.0297616i
\(754\) −1.87318 + 1.02979i −0.0682173 + 0.0375028i
\(755\) −2.40326 8.58124i −0.0874637 0.312303i
\(756\) 0.649612 + 1.38050i 0.0236262 + 0.0502081i
\(757\) −0.0245816 + 0.0338336i −0.000893433 + 0.00122970i −0.809463 0.587170i \(-0.800242\pi\)
0.808570 + 0.588400i \(0.200242\pi\)
\(758\) 15.0963 + 16.0759i 0.548321 + 0.583902i
\(759\) −22.5231 + 8.91751i −0.817535 + 0.323685i
\(760\) 0.394910 + 1.85069i 0.0143249 + 0.0671315i
\(761\) −21.9944 + 5.64719i −0.797295 + 0.204711i −0.625297 0.780387i \(-0.715022\pi\)
−0.171998 + 0.985097i \(0.555022\pi\)
\(762\) 14.0195 11.5980i 0.507874 0.420150i
\(763\) −9.61027 24.2728i −0.347915 0.878733i
\(764\) −9.18182 3.63534i −0.332187 0.131522i
\(765\) −1.77639 0.926880i −0.0642254 0.0335114i
\(766\) 3.76936 5.93956i 0.136193 0.214605i
\(767\) −1.32020 + 2.40143i −0.0476695 + 0.0867105i
\(768\) 0.587785 + 0.809017i 0.0212099 + 0.0291929i
\(769\) 2.03062 10.6449i 0.0732261 0.383865i −0.926741 0.375702i \(-0.877402\pi\)
0.999967 0.00816292i \(-0.00259837\pi\)
\(770\) 6.64092 12.7275i 0.239322 0.458667i
\(771\) −4.37564 + 9.29871i −0.157585 + 0.334885i
\(772\) −4.78214 8.69869i −0.172113 0.313073i
\(773\) −20.7240 1.30384i −0.745391 0.0468960i −0.314447 0.949275i \(-0.601819\pi\)
−0.430943 + 0.902379i \(0.641819\pi\)
\(774\) −6.71985 4.88226i −0.241540 0.175489i
\(775\) 14.9380 + 39.9730i 0.536591 + 1.43587i
\(776\) 8.43082 6.12535i 0.302649 0.219887i
\(777\) 8.29924 5.26686i 0.297734 0.188948i
\(778\) 3.34269 26.4601i 0.119841 0.948642i
\(779\) −5.31304 0.671193i −0.190359 0.0240480i
\(780\) −0.530291 + 0.458469i −0.0189874 + 0.0164158i
\(781\) 17.5138 + 9.62831i 0.626694 + 0.344528i
\(782\) −4.90591 1.59403i −0.175435 0.0570023i
\(783\) 6.16959 2.90319i 0.220483 0.103751i
\(784\) 4.52545 + 1.16194i 0.161623 + 0.0414978i
\(785\) −6.72812 + 8.50262i −0.240137 + 0.303471i
\(786\) 1.52331 1.84136i 0.0543346 0.0656793i
\(787\) −1.31490 0.834461i −0.0468711 0.0297453i 0.512185 0.858875i \(-0.328836\pi\)
−0.559056 + 0.829130i \(0.688836\pi\)
\(788\) 22.2788 1.40166i 0.793650 0.0499322i
\(789\) −9.10326 14.3444i −0.324085 0.510676i
\(790\) 1.99179 + 23.4962i 0.0708649 + 0.835956i
\(791\) 0.778452 + 12.3731i 0.0276786 + 0.439938i
\(792\) 4.13345 + 0.788498i 0.146876 + 0.0280181i
\(793\) −4.15217 + 1.34912i −0.147448 + 0.0479087i
\(794\) −13.9018 + 13.0547i −0.493357 + 0.463293i
\(795\) −0.885333 + 1.27599i −0.0313995 + 0.0452545i
\(796\) 1.88665 + 9.89015i 0.0668704 + 0.350547i
\(797\) −14.9439 + 15.9136i −0.529339 + 0.563689i −0.936948 0.349468i \(-0.886362\pi\)
0.407609 + 0.913156i \(0.366362\pi\)
\(798\) 0.475315 1.20051i 0.0168260 0.0424975i
\(799\) −1.63603 5.03517i −0.0578785 0.178132i
\(800\) −2.59692 4.27271i −0.0918148 0.151063i
\(801\) −0.744175 + 2.29034i −0.0262941 + 0.0809250i
\(802\) 22.9332 + 18.9720i 0.809800 + 0.669925i
\(803\) −13.8922 6.53719i −0.490246 0.230692i
\(804\) 1.76875 + 1.66097i 0.0623790 + 0.0585778i
\(805\) −9.83320 17.0004i −0.346575 0.599187i
\(806\) −2.65448 + 0.335338i −0.0934999 + 0.0118118i
\(807\) 18.8630i 0.664010i
\(808\) 0.794053 + 6.28558i 0.0279347 + 0.221126i
\(809\) −17.5719 21.2408i −0.617795 0.746786i 0.365097 0.930970i \(-0.381036\pi\)
−0.982892 + 0.184183i \(0.941036\pi\)
\(810\) 1.78002 1.35334i 0.0625436 0.0475514i
\(811\) 1.47491 23.4430i 0.0517910 0.823194i −0.883305 0.468799i \(-0.844687\pi\)
0.935096 0.354395i \(-0.115313\pi\)
\(812\) −2.58713 + 10.0762i −0.0907904 + 0.353605i
\(813\) −0.992104 + 3.86399i −0.0347946 + 0.135516i
\(814\) 1.70226 27.0567i 0.0596642 0.948336i
\(815\) 5.27099 17.5085i 0.184635 0.613297i
\(816\) 0.571173 + 0.690430i 0.0199951 + 0.0241699i
\(817\) 0.881019 + 6.97398i 0.0308230 + 0.243989i
\(818\) 9.30839i 0.325460i
\(819\) 0.474531 0.0599472i 0.0165815 0.00209473i
\(820\) 13.8382 2.95288i 0.483252 0.103119i
\(821\) 10.8085 + 10.1499i 0.377220 + 0.354234i 0.849847 0.527029i \(-0.176694\pi\)
−0.472627 + 0.881263i \(0.656694\pi\)
\(822\) 9.79412 + 4.60876i 0.341609 + 0.160749i
\(823\) −19.7630 16.3493i −0.688893 0.569902i 0.225739 0.974188i \(-0.427520\pi\)
−0.914633 + 0.404286i \(0.867520\pi\)
\(824\) 1.91568 5.89585i 0.0667358 0.205392i
\(825\) −20.2738 5.62591i −0.705844 0.195869i
\(826\) 4.12128 + 12.6840i 0.143398 + 0.441332i
\(827\) −13.0032 + 32.8422i −0.452164 + 1.14204i 0.507691 + 0.861539i \(0.330499\pi\)
−0.959855 + 0.280497i \(0.909501\pi\)
\(828\) 3.94074 4.19646i 0.136950 0.145837i
\(829\) 0.548325 + 2.87442i 0.0190441 + 0.0998327i 0.990540 0.137223i \(-0.0438177\pi\)
−0.971496 + 0.237056i \(0.923818\pi\)
\(830\) 25.3238 + 7.62380i 0.879002 + 0.264626i
\(831\) −7.40839 + 6.95694i −0.256994 + 0.241334i
\(832\) 0.298153 0.0968759i 0.0103366 0.00335857i
\(833\) 4.11247 + 0.784495i 0.142489 + 0.0271812i
\(834\) 0.398623 + 6.33593i 0.0138032 + 0.219395i
\(835\) 7.29665 12.0698i 0.252511 0.417692i
\(836\) −1.90817 3.00679i −0.0659953 0.103992i
\(837\) 8.51777 0.535892i 0.294417 0.0185232i
\(838\) −11.4460 7.26386i −0.395396 0.250926i
\(839\) 28.6026 34.5746i 0.987470 1.19365i 0.00640249 0.999980i \(-0.497962\pi\)
0.981067 0.193667i \(-0.0620380\pi\)
\(840\) −0.140158 + 3.40869i −0.00483593 + 0.117611i
\(841\) 16.9427 + 4.35015i 0.584232 + 0.150005i
\(842\) 23.7028 11.1537i 0.816853 0.384382i
\(843\) 10.5514 + 3.42835i 0.363408 + 0.118079i
\(844\) 24.0991 + 13.2486i 0.829525 + 0.456035i
\(845\) −11.2006 26.5861i −0.385311 0.914589i
\(846\) 5.86179 + 0.740517i 0.201533 + 0.0254595i
\(847\) −1.28255 + 10.1524i −0.0440690 + 0.348842i
\(848\) 0.586422 0.372155i 0.0201378 0.0127799i
\(849\) −11.8408 + 8.60281i −0.406374 + 0.295248i
\(850\) −2.56281 3.67495i −0.0879038 0.126050i
\(851\) −30.0047 21.7997i −1.02855 0.747284i
\(852\) −4.74016 0.298225i −0.162395 0.0102170i
\(853\) −11.4914 20.9028i −0.393459 0.715698i 0.603182 0.797604i \(-0.293899\pi\)
−0.996640 + 0.0819055i \(0.973899\pi\)
\(854\) −9.04667 + 19.2252i −0.309571 + 0.657871i
\(855\) −1.86610 0.314105i −0.0638193 0.0107422i
\(856\) −2.60056 + 13.6326i −0.0888853 + 0.465953i
\(857\) −7.08400 9.75029i −0.241985 0.333064i 0.670699 0.741730i \(-0.265994\pi\)
−0.912684 + 0.408666i \(0.865994\pi\)
\(858\) 0.635526 1.15602i 0.0216965 0.0394658i
\(859\) −19.7246 + 31.0810i −0.672995 + 1.06047i 0.320572 + 0.947224i \(0.396125\pi\)
−0.993567 + 0.113246i \(0.963875\pi\)
\(860\) −8.27149 16.6297i −0.282056 0.567068i
\(861\) −8.97661 3.55409i −0.305922 0.121123i
\(862\) −8.22641 20.7776i −0.280193 0.707686i
\(863\) −24.8244 + 20.5366i −0.845034 + 0.699073i −0.955559 0.294800i \(-0.904747\pi\)
0.110525 + 0.993873i \(0.464747\pi\)
\(864\) −0.968583 + 0.248690i −0.0329519 + 0.00846060i
\(865\) 2.15251 + 1.93504i 0.0731874 + 0.0657932i
\(866\) 30.1720 11.9460i 1.02529 0.405940i
\(867\) −11.0877 11.8072i −0.376557 0.400992i
\(868\) −7.65370 + 10.5344i −0.259784 + 0.357562i
\(869\) −18.8941 40.1520i −0.640938 1.36206i
\(870\) 15.2338 + 0.626383i 0.516475 + 0.0212364i
\(871\) 0.666573 0.366451i 0.0225860 0.0124167i
\(872\) 16.8078 3.20625i 0.569183 0.108577i
\(873\) 2.59161 + 10.0937i 0.0877128 + 0.341619i
\(874\) −4.87182 −0.164792
\(875\) 2.09765 16.9284i 0.0709134 0.572284i
\(876\) 3.64865 0.123276
\(877\) 6.47830 + 25.2313i 0.218757 + 0.852000i 0.979250 + 0.202655i \(0.0649570\pi\)
−0.760494 + 0.649345i \(0.775043\pi\)
\(878\) 6.44268 1.22901i 0.217430 0.0414770i
\(879\) 12.9047 7.09441i 0.435264 0.239288i
\(880\) 7.37868 + 5.83875i 0.248735 + 0.196824i
\(881\) 19.0922 + 40.5729i 0.643231 + 1.36694i 0.914561 + 0.404449i \(0.132537\pi\)
−0.271330 + 0.962487i \(0.587463\pi\)
\(882\) −2.74627 + 3.77992i −0.0924718 + 0.127276i
\(883\) 14.9852 + 15.9576i 0.504291 + 0.537016i 0.929862 0.367910i \(-0.119926\pi\)
−0.425570 + 0.904925i \(0.639926\pi\)
\(884\) 0.261187 0.103411i 0.00878466 0.00347809i
\(885\) 16.9198 9.78658i 0.568755 0.328972i
\(886\) −0.725542 + 0.186288i −0.0243751 + 0.00625845i
\(887\) −40.8780 + 33.8173i −1.37255 + 1.13547i −0.396474 + 0.918046i \(0.629766\pi\)
−0.976077 + 0.217426i \(0.930234\pi\)
\(888\) 2.37166 + 5.99013i 0.0795877 + 0.201016i
\(889\) −25.8108 10.2192i −0.865666 0.342741i
\(890\) −3.84438 + 3.77067i −0.128864 + 0.126393i
\(891\) −2.25475 + 3.55292i −0.0755371 + 0.119027i
\(892\) −6.72965 + 12.2412i −0.225326 + 0.409866i
\(893\) −2.93903 4.04523i −0.0983510 0.135369i
\(894\) 1.49103 7.81627i 0.0498676 0.261415i
\(895\) 9.56598 4.75805i 0.319755 0.159044i
\(896\) 0.649612 1.38050i 0.0217020 0.0461191i
\(897\) −0.869426 1.58148i −0.0290293 0.0528041i
\(898\) −19.7756 1.24417i −0.659919 0.0415186i
\(899\) 47.0795 + 34.2052i 1.57019 + 1.14081i
\(900\) 4.92865 0.841663i 0.164288 0.0280554i
\(901\) 0.503496 0.365811i 0.0167739 0.0121869i
\(902\) −22.4828 + 14.2680i −0.748595 + 0.475073i
\(903\) −1.58832 + 12.5728i −0.0528559 + 0.418398i
\(904\) −8.06177 1.01844i −0.268130 0.0338728i
\(905\) −5.77117 + 24.6936i −0.191840 + 0.820842i
\(906\) −3.49235 1.91994i −0.116026 0.0637856i
\(907\) 0.509400 + 0.165514i 0.0169143 + 0.00549580i 0.317462 0.948271i \(-0.397169\pi\)
−0.300548 + 0.953767i \(0.597169\pi\)
\(908\) −18.2082 + 8.56814i −0.604261 + 0.284344i
\(909\) −6.13650 1.57558i −0.203535 0.0522588i
\(910\) 1.00273 + 0.372009i 0.0332403 + 0.0123320i
\(911\) −23.7242 + 28.6777i −0.786019 + 0.950133i −0.999641 0.0267830i \(-0.991474\pi\)
0.213623 + 0.976916i \(0.431474\pi\)
\(912\) 0.714543 + 0.453463i 0.0236609 + 0.0150156i
\(913\) −49.6707 + 3.12501i −1.64386 + 0.103423i
\(914\) −14.0984 22.2156i −0.466335 0.734826i
\(915\) 30.3230 + 7.08682i 1.00245 + 0.234283i
\(916\) −0.263201 4.18346i −0.00869640 0.138225i
\(917\) −3.58152 0.683212i −0.118272 0.0225616i
\(918\) −0.852208 + 0.276899i −0.0281271 + 0.00913903i
\(919\) 42.8774 40.2646i 1.41440 1.32821i 0.541148 0.840927i \(-0.317990\pi\)
0.873247 0.487278i \(-0.162010\pi\)
\(920\) 12.1530 4.24294i 0.400673 0.139886i
\(921\) −5.45671 28.6051i −0.179805 0.942570i
\(922\) 11.1597 11.8838i 0.367524 0.391374i
\(923\) −0.548124 + 1.38440i −0.0180417 + 0.0455682i
\(924\) −1.98393 6.10591i −0.0652665 0.200870i
\(925\) −9.35941 30.8231i −0.307736 1.01346i
\(926\) 2.18643 6.72914i 0.0718506 0.221133i
\(927\) 4.77662 + 3.95156i 0.156885 + 0.129786i
\(928\) −6.16959 2.90319i −0.202527 0.0953018i
\(929\) 1.25402 + 1.17760i 0.0411431 + 0.0386359i 0.704846 0.709360i \(-0.251016\pi\)
−0.663703 + 0.747996i \(0.731016\pi\)
\(930\) 17.4402 + 7.74832i 0.571887 + 0.254077i
\(931\) 3.92287 0.495574i 0.128567 0.0162418i
\(932\) 26.3450i 0.862959i
\(933\) −2.09702 16.5996i −0.0686532 0.543446i
\(934\) −7.75994 9.38016i −0.253913 0.306928i
\(935\) 6.92724 + 4.80641i 0.226545 + 0.157186i
\(936\) −0.0196846 + 0.312878i −0.000643413 + 0.0102268i
\(937\) 4.45390 17.3468i 0.145503 0.566695i −0.853460 0.521158i \(-0.825500\pi\)
0.998963 0.0455370i \(-0.0144999\pi\)
\(938\) 0.920631 3.58562i 0.0300597 0.117075i
\(939\) 1.82112 28.9459i 0.0594301 0.944614i
\(940\) 10.8546 + 7.53140i 0.354039 + 0.245647i
\(941\) −8.56202 10.3497i −0.279114 0.337391i 0.612263 0.790655i \(-0.290260\pi\)
−0.891376 + 0.453264i \(0.850260\pi\)
\(942\) 0.607736 + 4.81072i 0.0198011 + 0.156742i
\(943\) 36.4283i 1.18627i
\(944\) −8.67245 + 1.09559i −0.282264 + 0.0356583i
\(945\) −3.11773 1.38514i −0.101420 0.0450586i
\(946\) 25.4792 + 23.9265i 0.828399 + 0.777919i
\(947\) 36.7761 + 17.3055i 1.19506 + 0.562353i 0.917261 0.398286i \(-0.130395\pi\)
0.277800 + 0.960639i \(0.410395\pi\)
\(948\) 8.12544 + 6.72195i 0.263902 + 0.218319i
\(949\) 0.353466 1.08786i 0.0114740 0.0353133i
\(950\) −3.37451 2.55297i −0.109484 0.0828293i
\(951\) 6.12810 + 18.8603i 0.198717 + 0.611588i
\(952\) 0.503273 1.27112i 0.0163112 0.0411973i
\(953\) −24.2333 + 25.8059i −0.784994 + 0.835934i −0.989740 0.142882i \(-0.954363\pi\)
0.204746 + 0.978815i \(0.434363\pi\)
\(954\) 0.130144 + 0.682241i 0.00421358 + 0.0220884i
\(955\) 20.8478 7.27852i 0.674619 0.235527i
\(956\) 10.6806 10.0297i 0.345435 0.324385i
\(957\) −27.2880 + 8.86640i −0.882095 + 0.286610i
\(958\) 8.66563 + 1.65306i 0.279974 + 0.0534079i
\(959\) −1.03696 16.4821i −0.0334853 0.532233i
\(960\) −2.17739 0.508881i −0.0702751 0.0164241i
\(961\) 22.4187 + 35.3263i 0.723185 + 1.13956i
\(962\) 2.01573 0.126819i 0.0649899 0.00408882i
\(963\) −11.7180 7.43644i −0.377606 0.239636i
\(964\) −3.27005 + 3.95281i −0.105321 + 0.127312i
\(965\) 20.8104 + 7.72054i 0.669911 + 0.248533i
\(966\) −8.50708 2.18425i −0.273711 0.0702770i
\(967\) −0.448335 + 0.210971i −0.0144175 + 0.00678436i −0.432975 0.901406i \(-0.642536\pi\)
0.418557 + 0.908191i \(0.362536\pi\)
\(968\) −6.37889 2.07263i −0.205025 0.0666168i
\(969\) 0.664527 + 0.365327i 0.0213477 + 0.0117360i
\(970\) −5.30308 + 22.6907i −0.170272 + 0.728556i
\(971\) −28.4992 3.60029i −0.914584 0.115539i −0.346066 0.938210i \(-0.612483\pi\)
−0.568517 + 0.822671i \(0.692483\pi\)
\(972\) 0.125333 0.992115i 0.00402007 0.0318221i
\(973\) 8.17803 5.18994i 0.262176 0.166382i
\(974\) 28.9207 21.0121i 0.926679 0.673272i
\(975\) 0.226523 1.55103i 0.00725454 0.0496727i
\(976\) −11.2666 8.18566i −0.360635 0.262016i
\(977\) −30.8831 1.94300i −0.988037 0.0621620i −0.439460 0.898262i \(-0.644830\pi\)
−0.548577 + 0.836100i \(0.684830\pi\)
\(978\) −3.93939 7.16572i −0.125968 0.229135i
\(979\) 4.31471 9.16923i 0.137899 0.293050i
\(980\) −9.35421 + 4.65272i −0.298809 + 0.148626i
\(981\) −3.20625 + 16.8078i −0.102368 + 0.536630i
\(982\) −2.50989 3.45457i −0.0800939 0.110240i
\(983\) 17.5539 31.9304i 0.559882 1.01842i −0.433234 0.901281i \(-0.642628\pi\)
0.993115 0.117139i \(-0.0373724\pi\)
\(984\) 3.39070 5.34288i 0.108091 0.170325i
\(985\) −35.6355 + 34.9523i −1.13544 + 1.11367i
\(986\) −5.68078 2.24918i −0.180913 0.0716285i
\(987\) −3.31843 8.38140i −0.105627 0.266783i
\(988\) 0.204423 0.169114i 0.00650358 0.00538023i
\(989\) 46.3141 11.8914i 1.47270 0.378126i
\(990\) −8.14500 + 4.71114i −0.258865 + 0.149730i
\(991\) 43.5884 17.2579i 1.38463 0.548214i 0.446589 0.894739i \(-0.352638\pi\)
0.938041 + 0.346525i \(0.112638\pi\)
\(992\) −5.84234 6.22146i −0.185494 0.197532i
\(993\) −10.3099 + 14.1904i −0.327175 + 0.450317i
\(994\) 3.08535 + 6.55671i 0.0978614 + 0.207966i
\(995\) −17.6550 13.9704i −0.559702 0.442892i
\(996\) 10.3643 5.69782i 0.328405 0.180542i
\(997\) −3.37504 + 0.643824i −0.106889 + 0.0203901i −0.240548 0.970637i \(-0.577327\pi\)
0.133659 + 0.991027i \(0.457327\pi\)
\(998\) −6.11342 23.8102i −0.193517 0.753698i
\(999\) −6.44255 −0.203833
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 750.2.o.b.229.12 280
125.119 even 50 inner 750.2.o.b.619.12 yes 280
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
750.2.o.b.229.12 280 1.1 even 1 trivial
750.2.o.b.619.12 yes 280 125.119 even 50 inner