Properties

Label 770.2.n.g.71.2
Level $770$
Weight $2$
Character 770.71
Analytic conductor $6.148$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [770,2,Mod(71,770)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(770, base_ring=CyclotomicField(10))
 
chi = DirichletCharacter(H, H._module([0, 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("770.71");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.n (of order \(5\), degree \(4\), 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: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(3\) over \(\Q(\zeta_{5})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} - \cdots)\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{12} - 2 x^{11} + 10 x^{10} - 9 x^{9} + 27 x^{8} - 26 x^{7} + 47 x^{6} + 46 x^{5} + 137 x^{4} - 57 x^{3} + 113 x^{2} - 17 x + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 71.2
Root \(0.0785122 + 0.0570425i\) of defining polynomial
Character \(\chi\) \(=\) 770.71
Dual form 770.2.n.g.141.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.309017 + 0.951057i) q^{2} +(-0.0785122 - 0.0570425i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(0.309017 - 0.951057i) q^{5} +(0.0299890 - 0.0922966i) q^{6} +(0.809017 - 0.587785i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(-0.924141 - 2.84421i) q^{9} +O(q^{10})\) \(q+(0.309017 + 0.951057i) q^{2} +(-0.0785122 - 0.0570425i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(0.309017 - 0.951057i) q^{5} +(0.0299890 - 0.0922966i) q^{6} +(0.809017 - 0.587785i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(-0.924141 - 2.84421i) q^{9} +1.00000 q^{10} +(2.42605 + 2.26147i) q^{11} +0.0970464 q^{12} +(-1.33695 - 4.11471i) q^{13} +(0.809017 + 0.587785i) q^{14} +(-0.0785122 + 0.0570425i) q^{15} +(0.309017 - 0.951057i) q^{16} +(0.656028 - 2.01905i) q^{17} +(2.41943 - 1.75782i) q^{18} +(-4.45786 - 3.23883i) q^{19} +(0.309017 + 0.951057i) q^{20} -0.0970464 q^{21} +(-1.40110 + 3.00615i) q^{22} +0.922019 q^{23} +(0.0299890 + 0.0922966i) q^{24} +(-0.809017 - 0.587785i) q^{25} +(3.50018 - 2.54303i) q^{26} +(-0.179652 + 0.552911i) q^{27} +(-0.309017 + 0.951057i) q^{28} +(6.49495 - 4.71886i) q^{29} +(-0.0785122 - 0.0570425i) q^{30} +(0.375617 + 1.15603i) q^{31} +1.00000 q^{32} +(-0.0614749 - 0.315941i) q^{33} +2.12295 q^{34} +(-0.309017 - 0.951057i) q^{35} +(2.41943 + 1.75782i) q^{36} +(4.05565 - 2.94660i) q^{37} +(1.70275 - 5.24053i) q^{38} +(-0.129746 + 0.399318i) q^{39} +(-0.809017 + 0.587785i) q^{40} +(1.55984 + 1.13329i) q^{41} +(-0.0299890 - 0.0922966i) q^{42} +3.75423 q^{43} +(-3.29198 - 0.403572i) q^{44} -2.99058 q^{45} +(0.284920 + 0.876892i) q^{46} +(0.699842 + 0.508465i) q^{47} +(-0.0785122 + 0.0570425i) q^{48} +(0.309017 - 0.951057i) q^{49} +(0.309017 - 0.951057i) q^{50} +(-0.166677 + 0.121098i) q^{51} +(3.50018 + 2.54303i) q^{52} +(-0.225322 - 0.693471i) q^{53} -0.581365 q^{54} +(2.90048 - 1.60848i) q^{55} -1.00000 q^{56} +(0.165246 + 0.508575i) q^{57} +(6.49495 + 4.71886i) q^{58} +(0.144174 - 0.104748i) q^{59} +(0.0299890 - 0.0922966i) q^{60} +(-4.02114 + 12.3758i) q^{61} +(-0.983379 + 0.714467i) q^{62} +(-2.41943 - 1.75782i) q^{63} +(0.309017 + 0.951057i) q^{64} -4.32646 q^{65} +(0.281481 - 0.156097i) q^{66} -3.55383 q^{67} +(0.656028 + 2.01905i) q^{68} +(-0.0723898 - 0.0525942i) q^{69} +(0.809017 - 0.587785i) q^{70} +(1.84186 - 5.66866i) q^{71} +(-0.924141 + 2.84421i) q^{72} +(11.9970 - 8.71636i) q^{73} +(4.05565 + 2.94660i) q^{74} +(0.0299890 + 0.0922966i) q^{75} +5.51022 q^{76} +(3.29198 + 0.403572i) q^{77} -0.419868 q^{78} +(4.07812 + 12.5512i) q^{79} +(-0.809017 - 0.587785i) q^{80} +(-7.21265 + 5.24030i) q^{81} +(-0.595804 + 1.83370i) q^{82} +(0.812764 - 2.50143i) q^{83} +(0.0785122 - 0.0570425i) q^{84} +(-1.71750 - 1.24784i) q^{85} +(1.16012 + 3.57048i) q^{86} -0.779108 q^{87} +(-0.633458 - 3.25557i) q^{88} -18.4678 q^{89} +(-0.924141 - 2.84421i) q^{90} +(-3.50018 - 2.54303i) q^{91} +(-0.745929 + 0.541949i) q^{92} +(0.0364523 - 0.112189i) q^{93} +(-0.267316 + 0.822713i) q^{94} +(-4.45786 + 3.23883i) q^{95} +(-0.0785122 - 0.0570425i) q^{96} +(0.0264461 + 0.0813928i) q^{97} +1.00000 q^{98} +(4.19010 - 8.99013i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12 q - 3 q^{2} - 2 q^{3} - 3 q^{4} - 3 q^{5} + 3 q^{6} + 3 q^{7} - 3 q^{8} - 7 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 12 q - 3 q^{2} - 2 q^{3} - 3 q^{4} - 3 q^{5} + 3 q^{6} + 3 q^{7} - 3 q^{8} - 7 q^{9} + 12 q^{10} + 7 q^{11} - 2 q^{12} + 8 q^{13} + 3 q^{14} - 2 q^{15} - 3 q^{16} + 8 q^{17} + 8 q^{18} + 11 q^{19} - 3 q^{20} + 2 q^{21} - 3 q^{22} - 20 q^{23} + 3 q^{24} - 3 q^{25} - 2 q^{26} + 7 q^{27} + 3 q^{28} + 20 q^{29} - 2 q^{30} + 2 q^{31} + 12 q^{32} + 33 q^{33} - 42 q^{34} + 3 q^{35} + 8 q^{36} - 4 q^{37} - 14 q^{38} + 18 q^{39} - 3 q^{40} - 14 q^{41} - 3 q^{42} - 38 q^{43} + 2 q^{44} - 2 q^{45} + 20 q^{46} - 10 q^{47} - 2 q^{48} - 3 q^{49} - 3 q^{50} + 13 q^{51} - 2 q^{52} + 8 q^{53} - 8 q^{54} - 3 q^{55} - 12 q^{56} + 33 q^{57} + 20 q^{58} - 11 q^{59} + 3 q^{60} - 34 q^{61} + 2 q^{62} - 8 q^{63} - 3 q^{64} - 12 q^{65} - 12 q^{66} - 54 q^{67} + 8 q^{68} + 38 q^{69} + 3 q^{70} + 18 q^{71} - 7 q^{72} + 24 q^{73} - 4 q^{74} + 3 q^{75} + 6 q^{76} - 2 q^{77} - 52 q^{78} + 2 q^{79} - 3 q^{80} + 2 q^{81} + 21 q^{82} + 33 q^{83} + 2 q^{84} + 13 q^{85} + 7 q^{86} - 16 q^{87} - 3 q^{88} + 2 q^{89} - 7 q^{90} + 2 q^{91} - 10 q^{92} - 32 q^{93} + 11 q^{95} - 2 q^{96} - q^{97} + 12 q^{98} - 47 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(e\left(\frac{2}{5}\right)\) \(1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.309017 + 0.951057i 0.218508 + 0.672499i
\(3\) −0.0785122 0.0570425i −0.0453290 0.0329335i 0.564890 0.825166i \(-0.308919\pi\)
−0.610219 + 0.792233i \(0.708919\pi\)
\(4\) −0.809017 + 0.587785i −0.404508 + 0.293893i
\(5\) 0.309017 0.951057i 0.138197 0.425325i
\(6\) 0.0299890 0.0922966i 0.0122430 0.0376799i
\(7\) 0.809017 0.587785i 0.305780 0.222162i
\(8\) −0.809017 0.587785i −0.286031 0.207813i
\(9\) −0.924141 2.84421i −0.308047 0.948071i
\(10\) 1.00000 0.316228
\(11\) 2.42605 + 2.26147i 0.731483 + 0.681860i
\(12\) 0.0970464 0.0280149
\(13\) −1.33695 4.11471i −0.370803 1.14121i −0.946267 0.323387i \(-0.895178\pi\)
0.575463 0.817827i \(-0.304822\pi\)
\(14\) 0.809017 + 0.587785i 0.216219 + 0.157092i
\(15\) −0.0785122 + 0.0570425i −0.0202718 + 0.0147283i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) 0.656028 2.01905i 0.159110 0.489690i −0.839444 0.543446i \(-0.817119\pi\)
0.998554 + 0.0537557i \(0.0171192\pi\)
\(18\) 2.41943 1.75782i 0.570266 0.414322i
\(19\) −4.45786 3.23883i −1.02270 0.743038i −0.0558685 0.998438i \(-0.517793\pi\)
−0.966835 + 0.255400i \(0.917793\pi\)
\(20\) 0.309017 + 0.951057i 0.0690983 + 0.212663i
\(21\) −0.0970464 −0.0211773
\(22\) −1.40110 + 3.00615i −0.298715 + 0.640913i
\(23\) 0.922019 0.192254 0.0961271 0.995369i \(-0.469354\pi\)
0.0961271 + 0.995369i \(0.469354\pi\)
\(24\) 0.0299890 + 0.0922966i 0.00612148 + 0.0188400i
\(25\) −0.809017 0.587785i −0.161803 0.117557i
\(26\) 3.50018 2.54303i 0.686442 0.498729i
\(27\) −0.179652 + 0.552911i −0.0345740 + 0.106408i
\(28\) −0.309017 + 0.951057i −0.0583987 + 0.179733i
\(29\) 6.49495 4.71886i 1.20608 0.876270i 0.211213 0.977440i \(-0.432259\pi\)
0.994869 + 0.101170i \(0.0322588\pi\)
\(30\) −0.0785122 0.0570425i −0.0143343 0.0104145i
\(31\) 0.375617 + 1.15603i 0.0674629 + 0.207629i 0.979105 0.203356i \(-0.0651848\pi\)
−0.911642 + 0.410985i \(0.865185\pi\)
\(32\) 1.00000 0.176777
\(33\) −0.0614749 0.315941i −0.0107014 0.0549983i
\(34\) 2.12295 0.364083
\(35\) −0.309017 0.951057i −0.0522334 0.160758i
\(36\) 2.41943 + 1.75782i 0.403239 + 0.292970i
\(37\) 4.05565 2.94660i 0.666745 0.484418i −0.202189 0.979346i \(-0.564806\pi\)
0.868934 + 0.494928i \(0.164806\pi\)
\(38\) 1.70275 5.24053i 0.276223 0.850127i
\(39\) −0.129746 + 0.399318i −0.0207760 + 0.0639420i
\(40\) −0.809017 + 0.587785i −0.127917 + 0.0929370i
\(41\) 1.55984 + 1.13329i 0.243605 + 0.176990i 0.702888 0.711301i \(-0.251893\pi\)
−0.459283 + 0.888290i \(0.651893\pi\)
\(42\) −0.0299890 0.0922966i −0.00462740 0.0142417i
\(43\) 3.75423 0.572514 0.286257 0.958153i \(-0.407589\pi\)
0.286257 + 0.958153i \(0.407589\pi\)
\(44\) −3.29198 0.403572i −0.496285 0.0608407i
\(45\) −2.99058 −0.445810
\(46\) 0.284920 + 0.876892i 0.0420091 + 0.129291i
\(47\) 0.699842 + 0.508465i 0.102082 + 0.0741672i 0.637655 0.770322i \(-0.279904\pi\)
−0.535573 + 0.844489i \(0.679904\pi\)
\(48\) −0.0785122 + 0.0570425i −0.0113323 + 0.00823337i
\(49\) 0.309017 0.951057i 0.0441453 0.135865i
\(50\) 0.309017 0.951057i 0.0437016 0.134500i
\(51\) −0.166677 + 0.121098i −0.0233395 + 0.0169572i
\(52\) 3.50018 + 2.54303i 0.485388 + 0.352655i
\(53\) −0.225322 0.693471i −0.0309504 0.0952556i 0.934388 0.356257i \(-0.115947\pi\)
−0.965338 + 0.261001i \(0.915947\pi\)
\(54\) −0.581365 −0.0791137
\(55\) 2.90048 1.60848i 0.391101 0.216888i
\(56\) −1.00000 −0.133631
\(57\) 0.165246 + 0.508575i 0.0218874 + 0.0673624i
\(58\) 6.49495 + 4.71886i 0.852829 + 0.619616i
\(59\) 0.144174 0.104748i 0.0187698 0.0136371i −0.578361 0.815781i \(-0.696307\pi\)
0.597131 + 0.802144i \(0.296307\pi\)
\(60\) 0.0299890 0.0922966i 0.00387156 0.0119154i
\(61\) −4.02114 + 12.3758i −0.514854 + 1.58456i 0.268693 + 0.963226i \(0.413408\pi\)
−0.783547 + 0.621332i \(0.786592\pi\)
\(62\) −0.983379 + 0.714467i −0.124889 + 0.0907374i
\(63\) −2.41943 1.75782i −0.304820 0.221465i
\(64\) 0.309017 + 0.951057i 0.0386271 + 0.118882i
\(65\) −4.32646 −0.536631
\(66\) 0.281481 0.156097i 0.0346480 0.0192143i
\(67\) −3.55383 −0.434169 −0.217085 0.976153i \(-0.569655\pi\)
−0.217085 + 0.976153i \(0.569655\pi\)
\(68\) 0.656028 + 2.01905i 0.0795550 + 0.244845i
\(69\) −0.0723898 0.0525942i −0.00871470 0.00633160i
\(70\) 0.809017 0.587785i 0.0966960 0.0702538i
\(71\) 1.84186 5.66866i 0.218588 0.672746i −0.780291 0.625417i \(-0.784929\pi\)
0.998879 0.0473292i \(-0.0150710\pi\)
\(72\) −0.924141 + 2.84421i −0.108911 + 0.335194i
\(73\) 11.9970 8.71636i 1.40415 1.02017i 0.410007 0.912083i \(-0.365526\pi\)
0.994141 0.108090i \(-0.0344736\pi\)
\(74\) 4.05565 + 2.94660i 0.471460 + 0.342535i
\(75\) 0.0299890 + 0.0922966i 0.00346283 + 0.0106575i
\(76\) 5.51022 0.632066
\(77\) 3.29198 + 0.403572i 0.375156 + 0.0459912i
\(78\) −0.419868 −0.0475406
\(79\) 4.07812 + 12.5512i 0.458825 + 1.41212i 0.866586 + 0.499028i \(0.166310\pi\)
−0.407761 + 0.913089i \(0.633690\pi\)
\(80\) −0.809017 0.587785i −0.0904508 0.0657164i
\(81\) −7.21265 + 5.24030i −0.801406 + 0.582255i
\(82\) −0.595804 + 1.83370i −0.0657956 + 0.202498i
\(83\) 0.812764 2.50143i 0.0892125 0.274568i −0.896490 0.443064i \(-0.853891\pi\)
0.985702 + 0.168497i \(0.0538913\pi\)
\(84\) 0.0785122 0.0570425i 0.00856639 0.00622384i
\(85\) −1.71750 1.24784i −0.186289 0.135347i
\(86\) 1.16012 + 3.57048i 0.125099 + 0.385015i
\(87\) −0.779108 −0.0835291
\(88\) −0.633458 3.25557i −0.0675269 0.347045i
\(89\) −18.4678 −1.95758 −0.978791 0.204861i \(-0.934326\pi\)
−0.978791 + 0.204861i \(0.934326\pi\)
\(90\) −0.924141 2.84421i −0.0974130 0.299806i
\(91\) −3.50018 2.54303i −0.366919 0.266582i
\(92\) −0.745929 + 0.541949i −0.0777685 + 0.0565021i
\(93\) 0.0364523 0.112189i 0.00377993 0.0116334i
\(94\) −0.267316 + 0.822713i −0.0275715 + 0.0848564i
\(95\) −4.45786 + 3.23883i −0.457367 + 0.332297i
\(96\) −0.0785122 0.0570425i −0.00801312 0.00582187i
\(97\) 0.0264461 + 0.0813928i 0.00268520 + 0.00826419i 0.952390 0.304882i \(-0.0986170\pi\)
−0.949705 + 0.313146i \(0.898617\pi\)
\(98\) 1.00000 0.101015
\(99\) 4.19010 8.99013i 0.421120 0.903542i
\(100\) 1.00000 0.100000
\(101\) −2.34087 7.20447i −0.232926 0.716871i −0.997390 0.0722051i \(-0.976996\pi\)
0.764464 0.644666i \(-0.223004\pi\)
\(102\) −0.166677 0.121098i −0.0165035 0.0119905i
\(103\) 3.04337 2.21114i 0.299872 0.217870i −0.427666 0.903937i \(-0.640664\pi\)
0.727539 + 0.686067i \(0.240664\pi\)
\(104\) −1.33695 + 4.11471i −0.131099 + 0.403480i
\(105\) −0.0299890 + 0.0922966i −0.00292663 + 0.00900723i
\(106\) 0.589902 0.428589i 0.0572963 0.0416282i
\(107\) 10.7733 + 7.82724i 1.04149 + 0.756687i 0.970576 0.240795i \(-0.0774081\pi\)
0.0709149 + 0.997482i \(0.477408\pi\)
\(108\) −0.179652 0.552911i −0.0172870 0.0532038i
\(109\) −8.04563 −0.770631 −0.385316 0.922785i \(-0.625907\pi\)
−0.385316 + 0.922785i \(0.625907\pi\)
\(110\) 2.42605 + 2.26147i 0.231315 + 0.215623i
\(111\) −0.486499 −0.0461765
\(112\) −0.309017 0.951057i −0.0291994 0.0898664i
\(113\) −7.42267 5.39289i −0.698266 0.507320i 0.181101 0.983465i \(-0.442034\pi\)
−0.879367 + 0.476144i \(0.842034\pi\)
\(114\) −0.432620 + 0.314317i −0.0405185 + 0.0294384i
\(115\) 0.284920 0.876892i 0.0265689 0.0817706i
\(116\) −2.48085 + 7.63527i −0.230341 + 0.708917i
\(117\) −10.4676 + 7.60514i −0.967728 + 0.703095i
\(118\) 0.144174 + 0.104748i 0.0132723 + 0.00964286i
\(119\) −0.656028 2.01905i −0.0601379 0.185086i
\(120\) 0.0970464 0.00885909
\(121\) 0.771477 + 10.9729i 0.0701343 + 0.997538i
\(122\) −13.0127 −1.17811
\(123\) −0.0578207 0.177954i −0.00521351 0.0160455i
\(124\) −0.983379 0.714467i −0.0883101 0.0641610i
\(125\) −0.809017 + 0.587785i −0.0723607 + 0.0525731i
\(126\) 0.924141 2.84421i 0.0823290 0.253383i
\(127\) −2.66745 + 8.20956i −0.236698 + 0.728481i 0.760194 + 0.649696i \(0.225104\pi\)
−0.996892 + 0.0787844i \(0.974896\pi\)
\(128\) −0.809017 + 0.587785i −0.0715077 + 0.0519534i
\(129\) −0.294753 0.214150i −0.0259515 0.0188549i
\(130\) −1.33695 4.11471i −0.117258 0.360884i
\(131\) 5.01748 0.438379 0.219189 0.975682i \(-0.429659\pi\)
0.219189 + 0.975682i \(0.429659\pi\)
\(132\) 0.235440 + 0.219468i 0.0204924 + 0.0191022i
\(133\) −5.51022 −0.477797
\(134\) −1.09819 3.37989i −0.0948695 0.291978i
\(135\) 0.470334 + 0.341718i 0.0404799 + 0.0294104i
\(136\) −1.71750 + 1.24784i −0.147275 + 0.107001i
\(137\) −2.90086 + 8.92793i −0.247837 + 0.762765i 0.747319 + 0.664465i \(0.231340\pi\)
−0.995157 + 0.0983000i \(0.968660\pi\)
\(138\) 0.0276504 0.0850993i 0.00235376 0.00724413i
\(139\) 5.63204 4.09192i 0.477704 0.347072i −0.322732 0.946490i \(-0.604601\pi\)
0.800436 + 0.599418i \(0.204601\pi\)
\(140\) 0.809017 + 0.587785i 0.0683744 + 0.0496769i
\(141\) −0.0259420 0.0798414i −0.00218471 0.00672386i
\(142\) 5.96038 0.500184
\(143\) 6.06179 13.0060i 0.506912 1.08761i
\(144\) −2.99058 −0.249215
\(145\) −2.48085 7.63527i −0.206023 0.634075i
\(146\) 11.9970 + 8.71636i 0.992882 + 0.721371i
\(147\) −0.0785122 + 0.0570425i −0.00647558 + 0.00470478i
\(148\) −1.54912 + 4.76770i −0.127337 + 0.391903i
\(149\) −6.14496 + 18.9122i −0.503414 + 1.54935i 0.300006 + 0.953937i \(0.403011\pi\)
−0.803420 + 0.595413i \(0.796989\pi\)
\(150\) −0.0785122 + 0.0570425i −0.00641050 + 0.00465750i
\(151\) 5.59157 + 4.06251i 0.455035 + 0.330603i 0.791581 0.611065i \(-0.209258\pi\)
−0.336545 + 0.941667i \(0.609258\pi\)
\(152\) 1.70275 + 5.24053i 0.138111 + 0.425063i
\(153\) −6.34886 −0.513275
\(154\) 0.633458 + 3.25557i 0.0510455 + 0.262341i
\(155\) 1.21552 0.0976332
\(156\) −0.129746 0.399318i −0.0103880 0.0319710i
\(157\) −7.28217 5.29081i −0.581180 0.422252i 0.257969 0.966153i \(-0.416947\pi\)
−0.839149 + 0.543901i \(0.816947\pi\)
\(158\) −10.6767 + 7.75705i −0.849390 + 0.617118i
\(159\) −0.0218667 + 0.0672989i −0.00173414 + 0.00533715i
\(160\) 0.309017 0.951057i 0.0244299 0.0751876i
\(161\) 0.745929 0.541949i 0.0587875 0.0427116i
\(162\) −7.21265 5.24030i −0.566679 0.411717i
\(163\) −2.18508 6.72499i −0.171149 0.526742i 0.828288 0.560303i \(-0.189315\pi\)
−0.999437 + 0.0335611i \(0.989315\pi\)
\(164\) −1.92806 −0.150556
\(165\) −0.319475 0.0391652i −0.0248711 0.00304900i
\(166\) 2.63016 0.204140
\(167\) −6.10066 18.7759i −0.472083 1.45292i −0.849852 0.527022i \(-0.823309\pi\)
0.377769 0.925900i \(-0.376691\pi\)
\(168\) 0.0785122 + 0.0570425i 0.00605735 + 0.00440092i
\(169\) −4.62617 + 3.36111i −0.355859 + 0.258547i
\(170\) 0.656028 2.01905i 0.0503150 0.154854i
\(171\) −5.09222 + 15.6722i −0.389412 + 1.19849i
\(172\) −3.03723 + 2.20668i −0.231587 + 0.168258i
\(173\) −11.2568 8.17854i −0.855838 0.621803i 0.0709117 0.997483i \(-0.477409\pi\)
−0.926749 + 0.375680i \(0.877409\pi\)
\(174\) −0.240758 0.740976i −0.0182518 0.0561732i
\(175\) −1.00000 −0.0755929
\(176\) 2.90048 1.60848i 0.218632 0.121244i
\(177\) −0.0172945 −0.00129993
\(178\) −5.70686 17.5639i −0.427747 1.31647i
\(179\) 2.92061 + 2.12194i 0.218296 + 0.158602i 0.691559 0.722320i \(-0.256924\pi\)
−0.473263 + 0.880921i \(0.656924\pi\)
\(180\) 2.41943 1.75782i 0.180334 0.131020i
\(181\) −0.602637 + 1.85473i −0.0447936 + 0.137861i −0.970952 0.239274i \(-0.923091\pi\)
0.926158 + 0.377135i \(0.123091\pi\)
\(182\) 1.33695 4.11471i 0.0991013 0.305002i
\(183\) 1.02165 0.742275i 0.0755229 0.0548706i
\(184\) −0.745929 0.541949i −0.0549906 0.0399530i
\(185\) −1.54912 4.76770i −0.113894 0.350528i
\(186\) 0.117962 0.00864941
\(187\) 6.15758 3.41472i 0.450286 0.249709i
\(188\) −0.865052 −0.0630904
\(189\) 0.179652 + 0.552911i 0.0130677 + 0.0402183i
\(190\) −4.45786 3.23883i −0.323407 0.234969i
\(191\) −10.3120 + 7.49207i −0.746147 + 0.542107i −0.894630 0.446807i \(-0.852561\pi\)
0.148483 + 0.988915i \(0.452561\pi\)
\(192\) 0.0299890 0.0922966i 0.00216427 0.00666094i
\(193\) −4.50916 + 13.8778i −0.324577 + 0.998944i 0.647055 + 0.762444i \(0.276001\pi\)
−0.971631 + 0.236501i \(0.923999\pi\)
\(194\) −0.0692369 + 0.0503035i −0.00497092 + 0.00361158i
\(195\) 0.339680 + 0.246792i 0.0243250 + 0.0176731i
\(196\) 0.309017 + 0.951057i 0.0220726 + 0.0679326i
\(197\) 24.4598 1.74269 0.871346 0.490669i \(-0.163248\pi\)
0.871346 + 0.490669i \(0.163248\pi\)
\(198\) 9.84494 + 1.20691i 0.699649 + 0.0857716i
\(199\) −10.4998 −0.744315 −0.372157 0.928170i \(-0.621382\pi\)
−0.372157 + 0.928170i \(0.621382\pi\)
\(200\) 0.309017 + 0.951057i 0.0218508 + 0.0672499i
\(201\) 0.279019 + 0.202719i 0.0196805 + 0.0142987i
\(202\) 6.12849 4.45261i 0.431199 0.313284i
\(203\) 2.48085 7.63527i 0.174122 0.535891i
\(204\) 0.0636651 0.195941i 0.00445745 0.0137186i
\(205\) 1.55984 1.13329i 0.108944 0.0791522i
\(206\) 3.04337 + 2.21114i 0.212042 + 0.154057i
\(207\) −0.852075 2.62242i −0.0592233 0.182271i
\(208\) −4.32646 −0.299986
\(209\) −3.49050 17.9389i −0.241443 1.24086i
\(210\) −0.0970464 −0.00669684
\(211\) 4.62878 + 14.2459i 0.318658 + 0.980729i 0.974222 + 0.225590i \(0.0724309\pi\)
−0.655564 + 0.755139i \(0.727569\pi\)
\(212\) 0.589902 + 0.428589i 0.0405146 + 0.0294356i
\(213\) −0.467963 + 0.339995i −0.0320643 + 0.0232961i
\(214\) −4.11502 + 12.6647i −0.281297 + 0.865743i
\(215\) 1.16012 3.57048i 0.0791196 0.243505i
\(216\) 0.470334 0.341718i 0.0320022 0.0232509i
\(217\) 0.983379 + 0.714467i 0.0667561 + 0.0485012i
\(218\) −2.48624 7.65184i −0.168389 0.518248i
\(219\) −1.43912 −0.0972465
\(220\) −1.40110 + 3.00615i −0.0944619 + 0.202674i
\(221\) −9.18486 −0.617840
\(222\) −0.150337 0.462688i −0.0100899 0.0310536i
\(223\) 5.65217 + 4.10654i 0.378497 + 0.274994i 0.760726 0.649073i \(-0.224843\pi\)
−0.382228 + 0.924068i \(0.624843\pi\)
\(224\) 0.809017 0.587785i 0.0540547 0.0392731i
\(225\) −0.924141 + 2.84421i −0.0616094 + 0.189614i
\(226\) 2.83521 8.72587i 0.188595 0.580436i
\(227\) 19.1019 13.8783i 1.26784 0.921136i 0.268721 0.963218i \(-0.413399\pi\)
0.999114 + 0.0420817i \(0.0133990\pi\)
\(228\) −0.432620 0.314317i −0.0286509 0.0208161i
\(229\) 6.50709 + 20.0267i 0.430000 + 1.32340i 0.898124 + 0.439742i \(0.144930\pi\)
−0.468124 + 0.883663i \(0.655070\pi\)
\(230\) 0.922019 0.0607961
\(231\) −0.235440 0.219468i −0.0154908 0.0144399i
\(232\) −8.02820 −0.527077
\(233\) −9.20687 28.3358i −0.603162 1.85634i −0.508961 0.860790i \(-0.669970\pi\)
−0.0942014 0.995553i \(-0.530030\pi\)
\(234\) −10.4676 7.60514i −0.684287 0.497163i
\(235\) 0.699842 0.508465i 0.0456526 0.0331686i
\(236\) −0.0550695 + 0.169486i −0.00358472 + 0.0110326i
\(237\) 0.395767 1.21805i 0.0257078 0.0791206i
\(238\) 1.71750 1.24784i 0.111329 0.0808854i
\(239\) 14.8927 + 10.8202i 0.963329 + 0.699900i 0.953922 0.300056i \(-0.0970054\pi\)
0.00940767 + 0.999956i \(0.497005\pi\)
\(240\) 0.0299890 + 0.0922966i 0.00193578 + 0.00595772i
\(241\) −2.15635 −0.138903 −0.0694513 0.997585i \(-0.522125\pi\)
−0.0694513 + 0.997585i \(0.522125\pi\)
\(242\) −10.1975 + 4.12453i −0.655518 + 0.265135i
\(243\) 2.60929 0.167386
\(244\) −4.02114 12.3758i −0.257427 0.792279i
\(245\) −0.809017 0.587785i −0.0516862 0.0375522i
\(246\) 0.151376 0.109981i 0.00965141 0.00701216i
\(247\) −7.36689 + 22.6730i −0.468744 + 1.44265i
\(248\) 0.375617 1.15603i 0.0238517 0.0734081i
\(249\) −0.206500 + 0.150031i −0.0130864 + 0.00950782i
\(250\) −0.809017 0.587785i −0.0511667 0.0371748i
\(251\) 6.06205 + 18.6571i 0.382633 + 1.17762i 0.938183 + 0.346141i \(0.112508\pi\)
−0.555549 + 0.831484i \(0.687492\pi\)
\(252\) 2.99058 0.188389
\(253\) 2.23687 + 2.08512i 0.140631 + 0.131090i
\(254\) −8.63204 −0.541622
\(255\) 0.0636651 + 0.195941i 0.00398687 + 0.0122703i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) 4.09365 2.97421i 0.255355 0.185526i −0.452742 0.891642i \(-0.649554\pi\)
0.708097 + 0.706115i \(0.249554\pi\)
\(258\) 0.112586 0.346503i 0.00700927 0.0215723i
\(259\) 1.54912 4.76770i 0.0962576 0.296251i
\(260\) 3.50018 2.54303i 0.217072 0.157712i
\(261\) −19.4237 14.1121i −1.20230 0.873519i
\(262\) 1.55049 + 4.77190i 0.0957893 + 0.294809i
\(263\) −16.0394 −0.989031 −0.494516 0.869169i \(-0.664655\pi\)
−0.494516 + 0.869169i \(0.664655\pi\)
\(264\) −0.135971 + 0.291736i −0.00836847 + 0.0179551i
\(265\) −0.729158 −0.0447918
\(266\) −1.70275 5.24053i −0.104402 0.321318i
\(267\) 1.44995 + 1.05345i 0.0887353 + 0.0644700i
\(268\) 2.87511 2.08889i 0.175625 0.127599i
\(269\) 2.30324 7.08864i 0.140431 0.432202i −0.855964 0.517035i \(-0.827036\pi\)
0.996395 + 0.0848329i \(0.0270356\pi\)
\(270\) −0.179652 + 0.552911i −0.0109332 + 0.0336491i
\(271\) −15.6382 + 11.3618i −0.949950 + 0.690179i −0.950795 0.309820i \(-0.899731\pi\)
0.000844724 1.00000i \(0.499731\pi\)
\(272\) −1.71750 1.24784i −0.104139 0.0756613i
\(273\) 0.129746 + 0.399318i 0.00785260 + 0.0241678i
\(274\) −9.38739 −0.567113
\(275\) −0.633458 3.25557i −0.0381990 0.196318i
\(276\) 0.0894787 0.00538598
\(277\) 6.78488 + 20.8817i 0.407664 + 1.25466i 0.918650 + 0.395071i \(0.129280\pi\)
−0.510987 + 0.859589i \(0.670720\pi\)
\(278\) 5.63204 + 4.09192i 0.337788 + 0.245417i
\(279\) 2.94088 2.13667i 0.176066 0.127919i
\(280\) −0.309017 + 0.951057i −0.0184673 + 0.0568365i
\(281\) 0.0532009 0.163736i 0.00317370 0.00976764i −0.949457 0.313897i \(-0.898365\pi\)
0.952631 + 0.304129i \(0.0983654\pi\)
\(282\) 0.0679171 0.0493447i 0.00404441 0.00293843i
\(283\) 11.8108 + 8.58105i 0.702079 + 0.510090i 0.880609 0.473844i \(-0.157134\pi\)
−0.178530 + 0.983935i \(0.557134\pi\)
\(284\) 1.84186 + 5.66866i 0.109294 + 0.336373i
\(285\) 0.534747 0.0316757
\(286\) 14.2426 + 1.74604i 0.842184 + 0.103245i
\(287\) 1.92806 0.113810
\(288\) −0.924141 2.84421i −0.0544555 0.167597i
\(289\) 10.1071 + 7.34325i 0.594536 + 0.431956i
\(290\) 6.49495 4.71886i 0.381397 0.277101i
\(291\) 0.00256650 0.00789889i 0.000150451 0.000463041i
\(292\) −4.58246 + 14.1034i −0.268168 + 0.825337i
\(293\) 4.04097 2.93593i 0.236076 0.171519i −0.463457 0.886119i \(-0.653391\pi\)
0.699533 + 0.714600i \(0.253391\pi\)
\(294\) −0.0785122 0.0570425i −0.00457893 0.00332678i
\(295\) −0.0550695 0.169486i −0.00320627 0.00986788i
\(296\) −5.01306 −0.291378
\(297\) −1.68624 + 0.935114i −0.0978454 + 0.0542608i
\(298\) −19.8855 −1.15194
\(299\) −1.23269 3.79384i −0.0712885 0.219403i
\(300\) −0.0785122 0.0570425i −0.00453290 0.00329335i
\(301\) 3.03723 2.20668i 0.175063 0.127191i
\(302\) −2.13579 + 6.57328i −0.122901 + 0.378250i
\(303\) −0.227173 + 0.699168i −0.0130508 + 0.0401661i
\(304\) −4.45786 + 3.23883i −0.255676 + 0.185759i
\(305\) 10.5275 + 7.64866i 0.602802 + 0.437961i
\(306\) −1.96190 6.03812i −0.112155 0.345176i
\(307\) 12.1296 0.692270 0.346135 0.938185i \(-0.387494\pi\)
0.346135 + 0.938185i \(0.387494\pi\)
\(308\) −2.90048 + 1.60848i −0.165270 + 0.0916517i
\(309\) −0.365071 −0.0207681
\(310\) 0.375617 + 1.15603i 0.0213336 + 0.0656582i
\(311\) 4.68442 + 3.40343i 0.265629 + 0.192991i 0.712625 0.701545i \(-0.247506\pi\)
−0.446996 + 0.894536i \(0.647506\pi\)
\(312\) 0.339680 0.246792i 0.0192306 0.0139718i
\(313\) −2.53843 + 7.81249i −0.143481 + 0.441588i −0.996812 0.0797801i \(-0.974578\pi\)
0.853332 + 0.521368i \(0.174578\pi\)
\(314\) 2.78154 8.56070i 0.156971 0.483108i
\(315\) −2.41943 + 1.75782i −0.136320 + 0.0990419i
\(316\) −10.6767 7.75705i −0.600609 0.436368i
\(317\) −3.04466 9.37049i −0.171005 0.526299i 0.828424 0.560102i \(-0.189238\pi\)
−0.999429 + 0.0338030i \(0.989238\pi\)
\(318\) −0.0707622 −0.00396815
\(319\) 26.4287 + 3.23995i 1.47972 + 0.181402i
\(320\) 1.00000 0.0559017
\(321\) −0.399348 1.22907i −0.0222894 0.0685998i
\(322\) 0.745929 + 0.541949i 0.0415690 + 0.0302017i
\(323\) −9.46382 + 6.87587i −0.526581 + 0.382583i
\(324\) 2.75499 8.47898i 0.153055 0.471054i
\(325\) −1.33695 + 4.11471i −0.0741606 + 0.228243i
\(326\) 5.72062 4.15627i 0.316836 0.230195i
\(327\) 0.631680 + 0.458942i 0.0349320 + 0.0253796i
\(328\) −0.595804 1.83370i −0.0328978 0.101249i
\(329\) 0.865052 0.0476919
\(330\) −0.0614749 0.315941i −0.00338408 0.0173920i
\(331\) −5.71671 −0.314219 −0.157109 0.987581i \(-0.550218\pi\)
−0.157109 + 0.987581i \(0.550218\pi\)
\(332\) 0.812764 + 2.50143i 0.0446062 + 0.137284i
\(333\) −12.1287 8.81205i −0.664651 0.482898i
\(334\) 15.9717 11.6041i 0.873934 0.634950i
\(335\) −1.09819 + 3.37989i −0.0600007 + 0.184663i
\(336\) −0.0299890 + 0.0922966i −0.00163603 + 0.00503519i
\(337\) 23.5720 17.1261i 1.28405 0.932915i 0.284381 0.958711i \(-0.408212\pi\)
0.999667 + 0.0257961i \(0.00821205\pi\)
\(338\) −4.62617 3.36111i −0.251631 0.182820i
\(339\) 0.275147 + 0.846815i 0.0149439 + 0.0459927i
\(340\) 2.12295 0.115133
\(341\) −1.70307 + 3.65404i −0.0922262 + 0.197878i
\(342\) −16.4788 −0.891070
\(343\) −0.309017 0.951057i −0.0166853 0.0513522i
\(344\) −3.03723 2.20668i −0.163757 0.118976i
\(345\) −0.0723898 + 0.0525942i −0.00389733 + 0.00283158i
\(346\) 4.29971 13.2331i 0.231154 0.711418i
\(347\) 2.94101 9.05149i 0.157882 0.485909i −0.840560 0.541719i \(-0.817774\pi\)
0.998441 + 0.0558091i \(0.0177738\pi\)
\(348\) 0.630312 0.457948i 0.0337882 0.0245486i
\(349\) 6.67043 + 4.84635i 0.357060 + 0.259419i 0.751825 0.659363i \(-0.229174\pi\)
−0.394765 + 0.918782i \(0.629174\pi\)
\(350\) −0.309017 0.951057i −0.0165177 0.0508361i
\(351\) 2.51525 0.134254
\(352\) 2.42605 + 2.26147i 0.129309 + 0.120537i
\(353\) 29.6347 1.57730 0.788649 0.614843i \(-0.210781\pi\)
0.788649 + 0.614843i \(0.210781\pi\)
\(354\) −0.00534429 0.0164480i −0.000284046 0.000874204i
\(355\) −4.82205 3.50342i −0.255928 0.185942i
\(356\) 14.9408 10.8551i 0.791859 0.575319i
\(357\) −0.0636651 + 0.195941i −0.00336952 + 0.0103703i
\(358\) −1.11557 + 3.43338i −0.0589598 + 0.181460i
\(359\) 20.0471 14.5651i 1.05804 0.768714i 0.0843187 0.996439i \(-0.473129\pi\)
0.973726 + 0.227725i \(0.0731286\pi\)
\(360\) 2.41943 + 1.75782i 0.127515 + 0.0926452i
\(361\) 3.51122 + 10.8064i 0.184801 + 0.568759i
\(362\) −1.95017 −0.102499
\(363\) 0.565352 0.905515i 0.0296733 0.0475272i
\(364\) 4.32646 0.226768
\(365\) −4.58246 14.1034i −0.239857 0.738204i
\(366\) 1.02165 + 0.742275i 0.0534027 + 0.0387994i
\(367\) −10.4050 + 7.55966i −0.543135 + 0.394611i −0.825248 0.564770i \(-0.808965\pi\)
0.282113 + 0.959381i \(0.408965\pi\)
\(368\) 0.284920 0.876892i 0.0148525 0.0457112i
\(369\) 1.78180 5.48382i 0.0927569 0.285476i
\(370\) 4.05565 2.94660i 0.210843 0.153187i
\(371\) −0.589902 0.428589i −0.0306262 0.0222512i
\(372\) 0.0364523 + 0.112189i 0.00188997 + 0.00581672i
\(373\) 22.7708 1.17903 0.589514 0.807758i \(-0.299319\pi\)
0.589514 + 0.807758i \(0.299319\pi\)
\(374\) 5.15039 + 4.80099i 0.266320 + 0.248253i
\(375\) 0.0970464 0.00501146
\(376\) −0.267316 0.822713i −0.0137858 0.0424282i
\(377\) −28.1001 20.4159i −1.44723 1.05147i
\(378\) −0.470334 + 0.341718i −0.0241914 + 0.0175761i
\(379\) 3.42120 10.5294i 0.175735 0.540857i −0.823931 0.566690i \(-0.808224\pi\)
0.999666 + 0.0258326i \(0.00822369\pi\)
\(380\) 1.70275 5.24053i 0.0873493 0.268834i
\(381\) 0.677721 0.492393i 0.0347207 0.0252261i
\(382\) −10.3120 7.49207i −0.527606 0.383328i
\(383\) 8.86798 + 27.2928i 0.453133 + 1.39460i 0.873314 + 0.487158i \(0.161967\pi\)
−0.420181 + 0.907440i \(0.638033\pi\)
\(384\) 0.0970464 0.00495238
\(385\) 1.40110 3.00615i 0.0714065 0.153208i
\(386\) −14.5920 −0.742711
\(387\) −3.46944 10.6778i −0.176361 0.542784i
\(388\) −0.0692369 0.0503035i −0.00351497 0.00255378i
\(389\) −1.36228 + 0.989751i −0.0690701 + 0.0501824i −0.621785 0.783188i \(-0.713592\pi\)
0.552714 + 0.833371i \(0.313592\pi\)
\(390\) −0.129746 + 0.399318i −0.00656996 + 0.0202202i
\(391\) 0.604870 1.86160i 0.0305896 0.0941451i
\(392\) −0.809017 + 0.587785i −0.0408615 + 0.0296876i
\(393\) −0.393933 0.286209i −0.0198713 0.0144373i
\(394\) 7.55851 + 23.2627i 0.380792 + 1.17196i
\(395\) 13.1971 0.664017
\(396\) 1.89441 + 9.73605i 0.0951976 + 0.489255i
\(397\) 16.9399 0.850189 0.425095 0.905149i \(-0.360241\pi\)
0.425095 + 0.905149i \(0.360241\pi\)
\(398\) −3.24463 9.98595i −0.162639 0.500550i
\(399\) 0.432620 + 0.314317i 0.0216581 + 0.0157355i
\(400\) −0.809017 + 0.587785i −0.0404508 + 0.0293893i
\(401\) −4.64036 + 14.2816i −0.231728 + 0.713187i 0.765810 + 0.643067i \(0.222338\pi\)
−0.997539 + 0.0701200i \(0.977662\pi\)
\(402\) −0.106576 + 0.328007i −0.00531552 + 0.0163595i
\(403\) 4.25455 3.09111i 0.211934 0.153979i
\(404\) 6.12849 + 4.45261i 0.304904 + 0.221525i
\(405\) 2.75499 + 8.47898i 0.136896 + 0.421324i
\(406\) 8.02820 0.398433
\(407\) 16.5029 + 2.02313i 0.818018 + 0.100283i
\(408\) 0.206025 0.0101997
\(409\) 10.4183 + 32.0642i 0.515152 + 1.58547i 0.783005 + 0.622015i \(0.213686\pi\)
−0.267853 + 0.963460i \(0.586314\pi\)
\(410\) 1.55984 + 1.13329i 0.0770348 + 0.0559690i
\(411\) 0.737024 0.535480i 0.0363547 0.0264133i
\(412\) −1.16246 + 3.57770i −0.0572705 + 0.176260i
\(413\) 0.0550695 0.169486i 0.00270979 0.00833988i
\(414\) 2.23076 1.62074i 0.109636 0.0796552i
\(415\) −2.12784 1.54597i −0.104452 0.0758887i
\(416\) −1.33695 4.11471i −0.0655494 0.201740i
\(417\) −0.675598 −0.0330842
\(418\) 15.9823 8.86309i 0.781719 0.433508i
\(419\) −17.7859 −0.868900 −0.434450 0.900696i \(-0.643057\pi\)
−0.434450 + 0.900696i \(0.643057\pi\)
\(420\) −0.0299890 0.0922966i −0.00146331 0.00450362i
\(421\) −14.7673 10.7291i −0.719717 0.522905i 0.166577 0.986028i \(-0.446729\pi\)
−0.886294 + 0.463124i \(0.846729\pi\)
\(422\) −12.1183 + 8.80446i −0.589909 + 0.428594i
\(423\) 0.799430 2.46039i 0.0388696 0.119628i
\(424\) −0.225322 + 0.693471i −0.0109426 + 0.0336779i
\(425\) −1.71750 + 1.24784i −0.0833111 + 0.0605291i
\(426\) −0.467963 0.339995i −0.0226729 0.0164728i
\(427\) 4.02114 + 12.3758i 0.194597 + 0.598907i
\(428\) −13.3165 −0.643677
\(429\) −1.21782 + 0.675349i −0.0587968 + 0.0326062i
\(430\) 3.75423 0.181045
\(431\) 8.51488 + 26.2061i 0.410147 + 1.26230i 0.916520 + 0.399989i \(0.130986\pi\)
−0.506372 + 0.862315i \(0.669014\pi\)
\(432\) 0.470334 + 0.341718i 0.0226289 + 0.0164409i
\(433\) 2.57324 1.86957i 0.123662 0.0898456i −0.524235 0.851574i \(-0.675649\pi\)
0.647897 + 0.761728i \(0.275649\pi\)
\(434\) −0.375617 + 1.15603i −0.0180302 + 0.0554913i
\(435\) −0.240758 + 0.740976i −0.0115434 + 0.0355271i
\(436\) 6.50905 4.72910i 0.311727 0.226483i
\(437\) −4.11023 2.98626i −0.196619 0.142852i
\(438\) −0.444712 1.36868i −0.0212491 0.0653981i
\(439\) 39.0123 1.86196 0.930978 0.365076i \(-0.118957\pi\)
0.930978 + 0.365076i \(0.118957\pi\)
\(440\) −3.29198 0.403572i −0.156939 0.0192395i
\(441\) −2.99058 −0.142409
\(442\) −2.83828 8.73532i −0.135003 0.415497i
\(443\) −4.05113 2.94332i −0.192475 0.139841i 0.487374 0.873193i \(-0.337955\pi\)
−0.679849 + 0.733352i \(0.737955\pi\)
\(444\) 0.393586 0.285957i 0.0186788 0.0135709i
\(445\) −5.70686 + 17.5639i −0.270531 + 0.832609i
\(446\) −2.15894 + 6.64453i −0.102229 + 0.314627i
\(447\) 1.56125 1.13432i 0.0738448 0.0536514i
\(448\) 0.809017 + 0.587785i 0.0382225 + 0.0277702i
\(449\) 3.88651 + 11.9614i 0.183416 + 0.564496i 0.999917 0.0128474i \(-0.00408955\pi\)
−0.816502 + 0.577343i \(0.804090\pi\)
\(450\) −2.99058 −0.140977
\(451\) 1.22135 + 6.27694i 0.0575110 + 0.295570i
\(452\) 9.17493 0.431552
\(453\) −0.207271 0.637914i −0.00973843 0.0299718i
\(454\) 19.1019 + 13.8783i 0.896495 + 0.651342i
\(455\) −3.50018 + 2.54303i −0.164091 + 0.119219i
\(456\) 0.165246 0.508575i 0.00773835 0.0238162i
\(457\) −11.1725 + 34.3853i −0.522626 + 1.60848i 0.246337 + 0.969184i \(0.420773\pi\)
−0.768963 + 0.639294i \(0.779227\pi\)
\(458\) −17.0358 + 12.3772i −0.796029 + 0.578349i
\(459\) 0.998495 + 0.725449i 0.0466058 + 0.0338611i
\(460\) 0.284920 + 0.876892i 0.0132844 + 0.0408853i
\(461\) 26.0248 1.21209 0.606047 0.795429i \(-0.292754\pi\)
0.606047 + 0.795429i \(0.292754\pi\)
\(462\) 0.135971 0.291736i 0.00632597 0.0135728i
\(463\) 2.55526 0.118753 0.0593766 0.998236i \(-0.481089\pi\)
0.0593766 + 0.998236i \(0.481089\pi\)
\(464\) −2.48085 7.63527i −0.115171 0.354459i
\(465\) −0.0954334 0.0693365i −0.00442562 0.00321540i
\(466\) 24.1039 17.5125i 1.11659 0.811252i
\(467\) 4.45530 13.7120i 0.206167 0.634516i −0.793497 0.608574i \(-0.791742\pi\)
0.999663 0.0259412i \(-0.00825828\pi\)
\(468\) 3.99826 12.3054i 0.184820 0.568816i
\(469\) −2.87511 + 2.08889i −0.132760 + 0.0964559i
\(470\) 0.699842 + 0.508465i 0.0322813 + 0.0234537i
\(471\) 0.269939 + 0.830786i 0.0124381 + 0.0382806i
\(472\) −0.178208 −0.00820271
\(473\) 9.10796 + 8.49009i 0.418785 + 0.390375i
\(474\) 1.28073 0.0588259
\(475\) 1.70275 + 5.24053i 0.0781276 + 0.240452i
\(476\) 1.71750 + 1.24784i 0.0787216 + 0.0571946i
\(477\) −1.76415 + 1.28173i −0.0807748 + 0.0586864i
\(478\) −5.68851 + 17.5074i −0.260186 + 0.800771i
\(479\) 10.0760 31.0108i 0.460384 1.41692i −0.404311 0.914621i \(-0.632489\pi\)
0.864696 0.502296i \(-0.167511\pi\)
\(480\) −0.0785122 + 0.0570425i −0.00358358 + 0.00260362i
\(481\) −17.5466 12.7484i −0.800056 0.581275i
\(482\) −0.666348 2.05081i −0.0303513 0.0934118i
\(483\) −0.0894787 −0.00407142
\(484\) −7.07385 8.42381i −0.321539 0.382900i
\(485\) 0.0855815 0.00388606
\(486\) 0.806316 + 2.48159i 0.0365753 + 0.112567i
\(487\) −13.6757 9.93597i −0.619705 0.450242i 0.233114 0.972450i \(-0.425109\pi\)
−0.852818 + 0.522208i \(0.825109\pi\)
\(488\) 10.5275 7.64866i 0.476557 0.346239i
\(489\) −0.212054 + 0.652636i −0.00958943 + 0.0295132i
\(490\) 0.309017 0.951057i 0.0139600 0.0429644i
\(491\) 31.3627 22.7863i 1.41538 1.02833i 0.422865 0.906193i \(-0.361024\pi\)
0.992513 0.122140i \(-0.0389756\pi\)
\(492\) 0.151376 + 0.109981i 0.00682458 + 0.00495835i
\(493\) −5.26672 16.2093i −0.237201 0.730030i
\(494\) −23.8398 −1.07260
\(495\) −7.25531 6.76312i −0.326102 0.303980i
\(496\) 1.21552 0.0545786
\(497\) −1.84186 5.66866i −0.0826186 0.254274i
\(498\) −0.206500 0.150031i −0.00925347 0.00672304i
\(499\) 30.4655 22.1345i 1.36382 0.990877i 0.365633 0.930759i \(-0.380852\pi\)
0.998191 0.0601175i \(-0.0191476\pi\)
\(500\) 0.309017 0.951057i 0.0138197 0.0425325i
\(501\) −0.592047 + 1.82213i −0.0264507 + 0.0814069i
\(502\) −15.8707 + 11.5307i −0.708342 + 0.514641i
\(503\) −23.0540 16.7497i −1.02793 0.746833i −0.0600343 0.998196i \(-0.519121\pi\)
−0.967893 + 0.251364i \(0.919121\pi\)
\(504\) 0.924141 + 2.84421i 0.0411645 + 0.126691i
\(505\) −7.57523 −0.337093
\(506\) −1.29184 + 2.77173i −0.0574292 + 0.123218i
\(507\) 0.554937 0.0246456
\(508\) −2.66745 8.20956i −0.118349 0.364240i
\(509\) −17.1960 12.4936i −0.762199 0.553770i 0.137385 0.990518i \(-0.456130\pi\)
−0.899584 + 0.436748i \(0.856130\pi\)
\(510\) −0.166677 + 0.121098i −0.00738060 + 0.00536232i
\(511\) 4.58246 14.1034i 0.202716 0.623896i
\(512\) 0.309017 0.951057i 0.0136568 0.0420312i
\(513\) 2.59164 1.88294i 0.114424 0.0831338i
\(514\) 4.09365 + 2.97421i 0.180563 + 0.131187i
\(515\) −1.16246 3.57770i −0.0512243 0.157652i
\(516\) 0.364335 0.0160389
\(517\) 0.547974 + 2.81624i 0.0240999 + 0.123858i
\(518\) 5.01306 0.220261
\(519\) 0.417272 + 1.28423i 0.0183162 + 0.0563714i
\(520\) 3.50018 + 2.54303i 0.153493 + 0.111519i
\(521\) −7.66833 + 5.57137i −0.335956 + 0.244086i −0.742954 0.669343i \(-0.766576\pi\)
0.406998 + 0.913429i \(0.366576\pi\)
\(522\) 7.41918 22.8339i 0.324729 0.999413i
\(523\) −6.58270 + 20.2595i −0.287842 + 0.885885i 0.697691 + 0.716399i \(0.254211\pi\)
−0.985533 + 0.169486i \(0.945789\pi\)
\(524\) −4.05922 + 2.94920i −0.177328 + 0.128836i
\(525\) 0.0785122 + 0.0570425i 0.00342655 + 0.00248954i
\(526\) −4.95645 15.2544i −0.216111 0.665122i
\(527\) 2.58050 0.112408
\(528\) −0.319475 0.0391652i −0.0139034 0.00170445i
\(529\) −22.1499 −0.963038
\(530\) −0.225322 0.693471i −0.00978738 0.0301225i
\(531\) −0.431163 0.313258i −0.0187109 0.0135943i
\(532\) 4.45786 3.23883i 0.193273 0.140421i
\(533\) 2.57772 7.93342i 0.111654 0.343634i
\(534\) −0.553831 + 1.70452i −0.0239666 + 0.0737616i
\(535\) 10.7733 7.82724i 0.465769 0.338401i
\(536\) 2.87511 + 2.08889i 0.124186 + 0.0902263i
\(537\) −0.108262 0.333197i −0.00467186 0.0143785i
\(538\) 7.45344 0.321341
\(539\) 2.90048 1.60848i 0.124933 0.0692822i
\(540\) −0.581365 −0.0250180
\(541\) −13.3583 41.1127i −0.574319 1.76757i −0.638487 0.769632i \(-0.720440\pi\)
0.0641686 0.997939i \(-0.479560\pi\)
\(542\) −15.6382 11.3618i −0.671716 0.488031i
\(543\) 0.153112 0.111243i 0.00657069 0.00477388i
\(544\) 0.656028 2.01905i 0.0281269 0.0865658i
\(545\) −2.48624 + 7.65184i −0.106499 + 0.327769i
\(546\) −0.339680 + 0.246792i −0.0145370 + 0.0105617i
\(547\) 17.9467 + 13.0390i 0.767345 + 0.557509i 0.901154 0.433498i \(-0.142721\pi\)
−0.133809 + 0.991007i \(0.542721\pi\)
\(548\) −2.90086 8.92793i −0.123919 0.381382i
\(549\) 38.9155 1.66087
\(550\) 2.90048 1.60848i 0.123677 0.0685859i
\(551\) −44.2372 −1.88457
\(552\) 0.0276504 + 0.0850993i 0.00117688 + 0.00362207i
\(553\) 10.6767 + 7.75705i 0.454018 + 0.329863i
\(554\) −17.7630 + 12.9056i −0.754679 + 0.548307i
\(555\) −0.150337 + 0.462688i −0.00638143 + 0.0196400i
\(556\) −2.15125 + 6.62087i −0.0912333 + 0.280787i
\(557\) −2.76527 + 2.00909i −0.117168 + 0.0851278i −0.644826 0.764329i \(-0.723070\pi\)
0.527658 + 0.849457i \(0.323070\pi\)
\(558\) 2.94088 + 2.13667i 0.124497 + 0.0904525i
\(559\) −5.01922 15.4476i −0.212290 0.653362i
\(560\) −1.00000 −0.0422577
\(561\) −0.678229 0.0831457i −0.0286349 0.00351041i
\(562\) 0.172162 0.00726220
\(563\) −5.17957 15.9411i −0.218293 0.671837i −0.998903 0.0468187i \(-0.985092\pi\)
0.780610 0.625018i \(-0.214908\pi\)
\(564\) 0.0679171 + 0.0493447i 0.00285983 + 0.00207779i
\(565\) −7.42267 + 5.39289i −0.312274 + 0.226880i
\(566\) −4.51132 + 13.8844i −0.189625 + 0.583606i
\(567\) −2.75499 + 8.47898i −0.115699 + 0.356084i
\(568\) −4.82205 + 3.50342i −0.202329 + 0.147000i
\(569\) −24.8560 18.0589i −1.04202 0.757069i −0.0713381 0.997452i \(-0.522727\pi\)
−0.970678 + 0.240383i \(0.922727\pi\)
\(570\) 0.165246 + 0.508575i 0.00692139 + 0.0213019i
\(571\) 26.7892 1.12109 0.560546 0.828123i \(-0.310591\pi\)
0.560546 + 0.828123i \(0.310591\pi\)
\(572\) 2.74063 + 14.0851i 0.114592 + 0.588927i
\(573\) 1.23698 0.0516756
\(574\) 0.595804 + 1.83370i 0.0248684 + 0.0765370i
\(575\) −0.745929 0.541949i −0.0311074 0.0226008i
\(576\) 2.41943 1.75782i 0.100810 0.0732425i
\(577\) 2.53070 7.78868i 0.105354 0.324247i −0.884459 0.466618i \(-0.845472\pi\)
0.989813 + 0.142371i \(0.0454725\pi\)
\(578\) −3.86058 + 11.8816i −0.160579 + 0.494211i
\(579\) 1.14565 0.832361i 0.0476115 0.0345918i
\(580\) 6.49495 + 4.71886i 0.269688 + 0.195940i
\(581\) −0.812764 2.50143i −0.0337191 0.103777i
\(582\) 0.00830538 0.000344269
\(583\) 1.02162 2.19196i 0.0423112 0.0907816i
\(584\) −14.8292 −0.613635
\(585\) 3.99826 + 12.3054i 0.165308 + 0.508765i
\(586\) 4.04097 + 2.93593i 0.166931 + 0.121282i
\(587\) 15.6325 11.3577i 0.645221 0.468780i −0.216419 0.976301i \(-0.569438\pi\)
0.861640 + 0.507520i \(0.169438\pi\)
\(588\) 0.0299890 0.0922966i 0.00123673 0.00380625i
\(589\) 2.06974 6.36999i 0.0852820 0.262471i
\(590\) 0.144174 0.104748i 0.00593554 0.00431242i
\(591\) −1.92040 1.39525i −0.0789946 0.0573929i
\(592\) −1.54912 4.76770i −0.0636684 0.195951i
\(593\) −46.6962 −1.91758 −0.958792 0.284109i \(-0.908302\pi\)
−0.958792 + 0.284109i \(0.908302\pi\)
\(594\) −1.41042 1.31474i −0.0578703 0.0539445i
\(595\) −2.12295 −0.0870325
\(596\) −6.14496 18.9122i −0.251707 0.774675i
\(597\) 0.824366 + 0.598937i 0.0337391 + 0.0245129i
\(598\) 3.22723 2.34472i 0.131971 0.0958828i
\(599\) −6.20572 + 19.0992i −0.253559 + 0.780374i 0.740551 + 0.672000i \(0.234564\pi\)
−0.994110 + 0.108374i \(0.965436\pi\)
\(600\) 0.0299890 0.0922966i 0.00122430 0.00376799i
\(601\) 15.3799 11.1741i 0.627357 0.455802i −0.228126 0.973632i \(-0.573260\pi\)
0.855484 + 0.517830i \(0.173260\pi\)
\(602\) 3.03723 + 2.20668i 0.123788 + 0.0899376i
\(603\) 3.28424 + 10.1078i 0.133745 + 0.411623i
\(604\) −6.91156 −0.281227
\(605\) 10.6743 + 2.65710i 0.433970 + 0.108026i
\(606\) −0.735149 −0.0298634
\(607\) 8.48098 + 26.1018i 0.344232 + 1.05944i 0.961994 + 0.273072i \(0.0880398\pi\)
−0.617761 + 0.786366i \(0.711960\pi\)
\(608\) −4.45786 3.23883i −0.180790 0.131352i
\(609\) −0.630312 + 0.457948i −0.0255415 + 0.0185570i
\(610\) −4.02114 + 12.3758i −0.162811 + 0.501081i
\(611\) 1.15653 3.55944i 0.0467882 0.143999i
\(612\) 5.13633 3.73176i 0.207624 0.150848i
\(613\) −7.68626 5.58440i −0.310445 0.225552i 0.421642 0.906762i \(-0.361454\pi\)
−0.732088 + 0.681211i \(0.761454\pi\)
\(614\) 3.74824 + 11.5359i 0.151267 + 0.465551i
\(615\) −0.187112 −0.00754507
\(616\) −2.42605 2.26147i −0.0977485 0.0911174i
\(617\) 33.6314 1.35395 0.676974 0.736007i \(-0.263291\pi\)
0.676974 + 0.736007i \(0.263291\pi\)
\(618\) −0.112813 0.347203i −0.00453801 0.0139665i
\(619\) −22.0201 15.9985i −0.885062 0.643035i 0.0495241 0.998773i \(-0.484230\pi\)
−0.934586 + 0.355738i \(0.884230\pi\)
\(620\) −0.983379 + 0.714467i −0.0394935 + 0.0286937i
\(621\) −0.165642 + 0.509794i −0.00664699 + 0.0204573i
\(622\) −1.78929 + 5.50686i −0.0717439 + 0.220805i
\(623\) −14.9408 + 10.8551i −0.598589 + 0.434900i
\(624\) 0.339680 + 0.246792i 0.0135981 + 0.00987959i
\(625\) 0.309017 + 0.951057i 0.0123607 + 0.0380423i
\(626\) −8.21454 −0.328319
\(627\) −0.749233 + 1.60753i −0.0299215 + 0.0641986i
\(628\) 9.00126 0.359189
\(629\) −3.28870 10.1216i −0.131129 0.403574i
\(630\) −2.41943 1.75782i −0.0963925 0.0700332i
\(631\) −22.7953 + 16.5618i −0.907468 + 0.659314i −0.940373 0.340144i \(-0.889524\pi\)
0.0329051 + 0.999458i \(0.489524\pi\)
\(632\) 4.07812 12.5512i 0.162219 0.499259i
\(633\) 0.449206 1.38252i 0.0178544 0.0549500i
\(634\) 7.97101 5.79128i 0.316569 0.230001i
\(635\) 6.98347 + 5.07379i 0.277130 + 0.201347i
\(636\) −0.0218667 0.0672989i −0.000867072 0.00266857i
\(637\) −4.32646 −0.171421
\(638\) 5.08553 + 26.1364i 0.201338 + 1.03475i
\(639\) −17.8250 −0.705146
\(640\) 0.309017 + 0.951057i 0.0122150 + 0.0375938i
\(641\) −7.61134 5.52996i −0.300630 0.218420i 0.427236 0.904140i \(-0.359487\pi\)
−0.727865 + 0.685720i \(0.759487\pi\)
\(642\) 1.04551 0.759605i 0.0412629 0.0299792i
\(643\) −12.9478 + 39.8492i −0.510611 + 1.57150i 0.280518 + 0.959849i \(0.409494\pi\)
−0.791129 + 0.611649i \(0.790506\pi\)
\(644\) −0.284920 + 0.876892i −0.0112274 + 0.0345544i
\(645\) −0.294753 + 0.214150i −0.0116059 + 0.00843217i
\(646\) −9.46382 6.87587i −0.372349 0.270527i
\(647\) 5.41652 + 16.6703i 0.212945 + 0.655378i 0.999293 + 0.0375942i \(0.0119694\pi\)
−0.786348 + 0.617784i \(0.788031\pi\)
\(648\) 8.91533 0.350227
\(649\) 0.586659 + 0.0719199i 0.0230284 + 0.00282310i
\(650\) −4.32646 −0.169698
\(651\) −0.0364523 0.112189i −0.00142868 0.00439702i
\(652\) 5.72062 + 4.15627i 0.224037 + 0.162772i
\(653\) −38.1953 + 27.7505i −1.49470 + 1.08596i −0.522265 + 0.852783i \(0.674913\pi\)
−0.972434 + 0.233179i \(0.925087\pi\)
\(654\) −0.241280 + 0.742584i −0.00943480 + 0.0290373i
\(655\) 1.55049 4.77190i 0.0605825 0.186454i
\(656\) 1.55984 1.13329i 0.0609013 0.0442474i
\(657\) −35.8781 26.0670i −1.39974 1.01697i
\(658\) 0.267316 + 0.822713i 0.0104211 + 0.0320727i
\(659\) −4.53445 −0.176637 −0.0883185 0.996092i \(-0.528149\pi\)
−0.0883185 + 0.996092i \(0.528149\pi\)
\(660\) 0.281481 0.156097i 0.0109566 0.00607608i
\(661\) −33.2581 −1.29359 −0.646794 0.762664i \(-0.723891\pi\)
−0.646794 + 0.762664i \(0.723891\pi\)
\(662\) −1.76656 5.43691i −0.0686593 0.211312i
\(663\) 0.721124 + 0.523927i 0.0280061 + 0.0203476i
\(664\) −2.12784 + 1.54597i −0.0825764 + 0.0599953i
\(665\) −1.70275 + 5.24053i −0.0660299 + 0.203219i
\(666\) 4.63277 14.2582i 0.179516 0.552494i
\(667\) 5.98847 4.35088i 0.231874 0.168467i
\(668\) 15.9717 + 11.6041i 0.617965 + 0.448978i
\(669\) −0.209517 0.644828i −0.00810040 0.0249305i
\(670\) −3.55383 −0.137296
\(671\) −37.7430 + 20.9306i −1.45705 + 0.808019i
\(672\) −0.0970464 −0.00374365
\(673\) 1.02782 + 3.16331i 0.0396196 + 0.121937i 0.968910 0.247413i \(-0.0795805\pi\)
−0.929290 + 0.369350i \(0.879580\pi\)
\(674\) 23.5720 + 17.1261i 0.907959 + 0.659671i
\(675\) 0.470334 0.341718i 0.0181032 0.0131527i
\(676\) 1.76704 5.43839i 0.0679631 0.209169i
\(677\) 2.75132 8.46769i 0.105742 0.325440i −0.884162 0.467180i \(-0.845270\pi\)
0.989904 + 0.141740i \(0.0452699\pi\)
\(678\) −0.720344 + 0.523360i −0.0276646 + 0.0200995i
\(679\) 0.0692369 + 0.0503035i 0.00265707 + 0.00193047i
\(680\) 0.656028 + 2.01905i 0.0251575 + 0.0774268i
\(681\) −2.29138 −0.0878060
\(682\) −4.00148 0.490551i −0.153225 0.0187842i
\(683\) 26.5881 1.01736 0.508682 0.860954i \(-0.330133\pi\)
0.508682 + 0.860954i \(0.330133\pi\)
\(684\) −5.09222 15.6722i −0.194706 0.599243i
\(685\) 7.59455 + 5.51777i 0.290173 + 0.210823i
\(686\) 0.809017 0.587785i 0.0308884 0.0224417i
\(687\) 0.631489 1.94352i 0.0240928 0.0741501i
\(688\) 1.16012 3.57048i 0.0442292 0.136123i
\(689\) −2.55219 + 1.85427i −0.0972305 + 0.0706421i
\(690\) −0.0723898 0.0525942i −0.00275583 0.00200223i
\(691\) −8.91387 27.4341i −0.339099 1.04364i −0.964667 0.263471i \(-0.915133\pi\)
0.625568 0.780170i \(-0.284867\pi\)
\(692\) 13.9142 0.528937
\(693\) −1.89441 9.73605i −0.0719627 0.369842i
\(694\) 9.51730 0.361272
\(695\) −2.15125 6.62087i −0.0816016 0.251144i
\(696\) 0.630312 + 0.457948i 0.0238919 + 0.0173585i
\(697\) 3.31145 2.40591i 0.125430 0.0911304i
\(698\) −2.54788 + 7.84156i −0.0964385 + 0.296807i
\(699\) −0.893494 + 2.74989i −0.0337951 + 0.104010i
\(700\) 0.809017 0.587785i 0.0305780 0.0222162i
\(701\) −8.82932 6.41488i −0.333479 0.242287i 0.408426 0.912791i \(-0.366078\pi\)
−0.741905 + 0.670505i \(0.766078\pi\)
\(702\) 0.777255 + 2.39215i 0.0293356 + 0.0902857i
\(703\) −27.6231 −1.04182
\(704\) −1.40110 + 3.00615i −0.0528058 + 0.113298i
\(705\) −0.0839502 −0.00316175
\(706\) 9.15764 + 28.1843i 0.344652 + 1.06073i
\(707\) −6.12849 4.45261i −0.230485 0.167457i
\(708\) 0.0139915 0.0101655i 0.000525834 0.000382041i
\(709\) −10.8215 + 33.3051i −0.406409 + 1.25080i 0.513303 + 0.858207i \(0.328422\pi\)
−0.919713 + 0.392592i \(0.871578\pi\)
\(710\) 1.84186 5.66866i 0.0691237 0.212741i
\(711\) 31.9294 23.1981i 1.19745 0.869996i
\(712\) 14.9408 + 10.8551i 0.559929 + 0.406812i
\(713\) 0.346326 + 1.06588i 0.0129700 + 0.0399176i
\(714\) −0.206025 −0.00771028
\(715\) −10.4962 9.78418i −0.392537 0.365907i
\(716\) −3.61007 −0.134915
\(717\) −0.552049 1.69903i −0.0206167 0.0634516i
\(718\) 20.0471 + 14.5651i 0.748150 + 0.543563i
\(719\) −35.1650 + 25.5489i −1.31143 + 0.952811i −0.311436 + 0.950267i \(0.600810\pi\)
−0.999997 + 0.00254407i \(0.999190\pi\)
\(720\) −0.924141 + 2.84421i −0.0344407 + 0.105998i
\(721\) 1.16246 3.57770i 0.0432924 0.133240i
\(722\) −9.19249 + 6.67873i −0.342109 + 0.248557i
\(723\) 0.169300 + 0.123003i 0.00629632 + 0.00457455i
\(724\) −0.602637 1.85473i −0.0223968 0.0689303i
\(725\) −8.02820 −0.298160
\(726\) 1.03590 + 0.257862i 0.0384458 + 0.00957015i
\(727\) −52.4475 −1.94517 −0.972585 0.232548i \(-0.925294\pi\)
−0.972585 + 0.232548i \(0.925294\pi\)
\(728\) 1.33695 + 4.11471i 0.0495507 + 0.152501i
\(729\) 21.4331 + 15.5721i 0.793818 + 0.576743i
\(730\) 11.9970 8.71636i 0.444030 0.322607i
\(731\) 2.46288 7.57996i 0.0910928 0.280355i
\(732\) −0.390237 + 1.20103i −0.0144236 + 0.0443912i
\(733\) 21.2256 15.4213i 0.783985 0.569598i −0.122187 0.992507i \(-0.538991\pi\)
0.906172 + 0.422909i \(0.138991\pi\)
\(734\) −10.4050 7.55966i −0.384055 0.279032i
\(735\) 0.0299890 + 0.0922966i 0.00110616 + 0.00340441i
\(736\) 0.922019 0.0339861
\(737\) −8.62178 8.03689i −0.317587 0.296043i
\(738\) 5.76603 0.212250
\(739\) −9.22510 28.3919i −0.339351 1.04441i −0.964539 0.263940i \(-0.914978\pi\)
0.625188 0.780474i \(-0.285022\pi\)
\(740\) 4.05565 + 2.94660i 0.149089 + 0.108319i
\(741\) 1.87171 1.35988i 0.0687591 0.0499564i
\(742\) 0.225322 0.693471i 0.00827184 0.0254581i
\(743\) −12.3091 + 37.8835i −0.451577 + 1.38981i 0.423530 + 0.905882i \(0.360791\pi\)
−0.875107 + 0.483930i \(0.839209\pi\)
\(744\) −0.0954334 + 0.0693365i −0.00349876 + 0.00254200i
\(745\) 16.0877 + 11.6884i 0.589408 + 0.428230i
\(746\) 7.03657 + 21.6563i 0.257627 + 0.792894i
\(747\) −7.86571 −0.287791
\(748\) −2.97446 + 6.38190i −0.108757 + 0.233345i
\(749\) 13.3165 0.486574
\(750\) 0.0299890 + 0.0922966i 0.00109504 + 0.00337020i
\(751\) −39.0594 28.3784i −1.42530 1.03554i −0.990868 0.134836i \(-0.956949\pi\)
−0.434432 0.900705i \(-0.643051\pi\)
\(752\) 0.699842 0.508465i 0.0255206 0.0185418i
\(753\) 0.588301 1.81060i 0.0214389 0.0659821i
\(754\) 10.7333 33.0337i 0.390884 1.20302i
\(755\) 5.59157 4.06251i 0.203498 0.147850i
\(756\) −0.470334 0.341718i −0.0171059 0.0124281i
\(757\) −2.66166 8.19176i −0.0967398 0.297734i 0.890963 0.454075i \(-0.150030\pi\)
−0.987703 + 0.156341i \(0.950030\pi\)
\(758\) 11.0712 0.402125
\(759\) −0.0566810 0.291304i −0.00205739 0.0105737i
\(760\) 5.51022 0.199877
\(761\) −0.196045 0.603365i −0.00710663 0.0218720i 0.947440 0.319933i \(-0.103660\pi\)
−0.954547 + 0.298061i \(0.903660\pi\)
\(762\) 0.677721 + 0.492393i 0.0245512 + 0.0178375i
\(763\) −6.50905 + 4.72910i −0.235643 + 0.171205i
\(764\) 3.93882 12.1224i 0.142501 0.438574i
\(765\) −1.96190 + 6.03812i −0.0709328 + 0.218309i
\(766\) −23.2167 + 16.8679i −0.838852 + 0.609462i
\(767\) −0.623762 0.453189i −0.0225227 0.0163637i
\(768\) 0.0299890 + 0.0922966i 0.00108213 + 0.00333047i
\(769\) −34.4997 −1.24409 −0.622046 0.782981i \(-0.713698\pi\)
−0.622046 + 0.782981i \(0.713698\pi\)
\(770\) 3.29198 + 0.403572i 0.118635 + 0.0145437i
\(771\) −0.491058 −0.0176850
\(772\) −4.50916 13.8778i −0.162288 0.499472i
\(773\) 26.6877 + 19.3897i 0.959889 + 0.697400i 0.953125 0.302577i \(-0.0978469\pi\)
0.00676415 + 0.999977i \(0.497847\pi\)
\(774\) 9.08310 6.59926i 0.326485 0.237205i
\(775\) 0.375617 1.15603i 0.0134926 0.0415259i
\(776\) 0.0264461 0.0813928i 0.000949361 0.00292183i
\(777\) −0.393586 + 0.285957i −0.0141198 + 0.0102587i
\(778\) −1.36228 0.989751i −0.0488400 0.0354843i
\(779\) −3.28301 10.1041i −0.117626 0.362016i
\(780\) −0.419868 −0.0150337
\(781\) 17.2880 9.58716i 0.618612 0.343055i
\(782\) 1.95740 0.0699965
\(783\) 1.44228 + 4.43888i 0.0515428 + 0.158632i
\(784\) −0.809017 0.587785i −0.0288935 0.0209923i
\(785\) −7.28217 + 5.29081i −0.259912 + 0.188837i
\(786\) 0.150469 0.463096i 0.00536706 0.0165181i
\(787\) −10.3901 + 31.9774i −0.370367 + 1.13987i 0.576185 + 0.817319i \(0.304541\pi\)
−0.946552 + 0.322552i \(0.895459\pi\)
\(788\) −19.7884 + 14.3771i −0.704934 + 0.512164i
\(789\) 1.25929 + 0.914927i 0.0448319 + 0.0325722i
\(790\) 4.07812 + 12.5512i 0.145093 + 0.446551i
\(791\) −9.17493 −0.326223
\(792\) −8.67413 + 4.81029i −0.308222 + 0.170926i
\(793\) 56.2988 1.99923
\(794\) 5.23472 + 16.1108i 0.185773 + 0.571751i
\(795\) 0.0572478 + 0.0415930i 0.00203037 + 0.00147515i
\(796\) 8.49456 6.17166i 0.301082 0.218749i
\(797\) 13.9241 42.8541i 0.493218 1.51797i −0.326498 0.945198i \(-0.605869\pi\)
0.819716 0.572771i \(-0.194131\pi\)
\(798\) −0.165246 + 0.508575i −0.00584965 + 0.0180034i
\(799\) 1.48573 1.07945i 0.0525613 0.0381880i
\(800\) −0.809017 0.587785i −0.0286031 0.0207813i
\(801\) 17.0668 + 52.5263i 0.603027 + 1.85593i
\(802\) −15.0165 −0.530252
\(803\) 48.8173 + 5.98463i 1.72272 + 0.211193i
\(804\) −0.344887 −0.0121632
\(805\) −0.284920 0.876892i −0.0100421 0.0309064i
\(806\) 4.25455 + 3.09111i 0.149860 + 0.108880i
\(807\) −0.585186 + 0.425163i −0.0205995 + 0.0149664i
\(808\) −2.34087 + 7.20447i −0.0823516 + 0.253452i
\(809\) −3.73927 + 11.5083i −0.131466 + 0.404610i −0.995024 0.0996401i \(-0.968231\pi\)
0.863558 + 0.504250i \(0.168231\pi\)
\(810\) −7.21265 + 5.24030i −0.253427 + 0.184125i
\(811\) 15.9005 + 11.5524i 0.558341 + 0.405658i 0.830851 0.556495i \(-0.187854\pi\)
−0.272511 + 0.962153i \(0.587854\pi\)
\(812\) 2.48085 + 7.63527i 0.0870608 + 0.267945i
\(813\) 1.87589 0.0657904
\(814\) 3.17556 + 16.3204i 0.111303 + 0.572028i
\(815\) −7.07107 −0.247689
\(816\) 0.0636651 + 0.195941i 0.00222873 + 0.00685931i
\(817\) −16.7358 12.1593i −0.585513 0.425400i
\(818\) −27.2755 + 19.8168i −0.953665 + 0.692878i
\(819\) −3.99826 + 12.3054i −0.139710 + 0.429985i
\(820\) −0.595804 + 1.83370i −0.0208064 + 0.0640355i
\(821\) −4.40972 + 3.20385i −0.153900 + 0.111815i −0.662070 0.749442i \(-0.730322\pi\)
0.508170 + 0.861257i \(0.330322\pi\)
\(822\) 0.737024 + 0.535480i 0.0257067 + 0.0186770i
\(823\) 10.7780 + 33.1712i 0.375696 + 1.15627i 0.943008 + 0.332771i \(0.107984\pi\)
−0.567311 + 0.823503i \(0.692016\pi\)
\(824\) −3.76181 −0.131049
\(825\) −0.135971 + 0.291736i −0.00473392 + 0.0101569i
\(826\) 0.178208 0.00620067
\(827\) −5.18683 15.9634i −0.180364 0.555103i 0.819474 0.573116i \(-0.194266\pi\)
−0.999838 + 0.0180137i \(0.994266\pi\)
\(828\) 2.23076 + 1.62074i 0.0775243 + 0.0563247i
\(829\) 6.45722 4.69145i 0.224269 0.162941i −0.469977 0.882678i \(-0.655738\pi\)
0.694246 + 0.719738i \(0.255738\pi\)
\(830\) 0.812764 2.50143i 0.0282115 0.0868259i
\(831\) 0.658448 2.02650i 0.0228413 0.0702983i
\(832\) 3.50018 2.54303i 0.121347 0.0881637i
\(833\) −1.71750 1.24784i −0.0595079 0.0432350i
\(834\) −0.208771 0.642531i −0.00722915 0.0222490i
\(835\) −19.7421 −0.683205
\(836\) 13.3681 + 12.4612i 0.462345 + 0.430980i
\(837\) −0.706662 −0.0244258
\(838\) −5.49616 16.9154i −0.189862 0.584334i
\(839\) 5.23975 + 3.80690i 0.180896 + 0.131429i 0.674548 0.738231i \(-0.264338\pi\)
−0.493652 + 0.869659i \(0.664338\pi\)
\(840\) 0.0785122 0.0570425i 0.00270893 0.00196815i
\(841\) 10.9553 33.7168i 0.377768 1.16265i
\(842\) 5.64063 17.3601i 0.194389 0.598267i
\(843\) −0.0135168 + 0.00982053i −0.000465543 + 0.000338237i
\(844\) −12.1183 8.80446i −0.417129 0.303062i
\(845\) 1.76704 + 5.43839i 0.0607880 + 0.187086i
\(846\) 2.58701 0.0889432
\(847\) 7.07385 + 8.42381i 0.243061 + 0.289446i
\(848\) −0.729158 −0.0250394
\(849\) −0.437808 1.34743i −0.0150255 0.0462438i
\(850\) −1.71750 1.24784i −0.0589098 0.0428005i
\(851\) 3.73939 2.71682i 0.128184 0.0931315i
\(852\) 0.178746 0.550123i 0.00612373 0.0188469i
\(853\) −3.43030 + 10.5574i −0.117451 + 0.361478i −0.992450 0.122646i \(-0.960862\pi\)
0.874999 + 0.484125i \(0.160862\pi\)
\(854\) −10.5275 + 7.64866i −0.360243 + 0.261732i
\(855\) 13.3316 + 9.68598i 0.455931 + 0.331253i
\(856\) −4.11502 12.6647i −0.140649 0.432872i
\(857\) −21.2871 −0.727154 −0.363577 0.931564i \(-0.618445\pi\)
−0.363577 + 0.931564i \(0.618445\pi\)
\(858\) −1.01862 0.949519i −0.0347752 0.0324161i
\(859\) 14.8904 0.508053 0.254027 0.967197i \(-0.418245\pi\)
0.254027 + 0.967197i \(0.418245\pi\)
\(860\) 1.16012 + 3.57048i 0.0395598 + 0.121752i
\(861\) −0.151376 0.109981i −0.00515890 0.00374816i
\(862\) −22.2922 + 16.1963i −0.759277 + 0.551647i
\(863\) −14.7199 + 45.3031i −0.501070 + 1.54213i 0.306209 + 0.951964i \(0.400939\pi\)
−0.807279 + 0.590170i \(0.799061\pi\)
\(864\) −0.179652 + 0.552911i −0.00611187 + 0.0188104i
\(865\) −11.2568 + 8.17854i −0.382742 + 0.278079i
\(866\) 2.57324 + 1.86957i 0.0874422 + 0.0635305i
\(867\) −0.374655 1.15307i −0.0127240 0.0391603i
\(868\) −1.21552 −0.0412576
\(869\) −18.4904 + 39.6724i −0.627244 + 1.34579i
\(870\) −0.779108 −0.0264142
\(871\) 4.75129 + 14.6230i 0.160991 + 0.495481i
\(872\) 6.50905 + 4.72910i 0.220424 + 0.160148i
\(873\) 0.207059 0.150437i 0.00700787 0.00509152i
\(874\) 1.56997 4.83187i 0.0531050 0.163440i
\(875\) −0.309017 + 0.951057i −0.0104467 + 0.0321516i
\(876\) 1.16427 0.845892i 0.0393370 0.0285800i
\(877\) −29.4818 21.4198i −0.995528 0.723294i −0.0344035 0.999408i \(-0.510953\pi\)
−0.961125 + 0.276114i \(0.910953\pi\)
\(878\) 12.0555 + 37.1029i 0.406852 + 1.25216i
\(879\) −0.484738 −0.0163498
\(880\) −0.633458 3.25557i −0.0213539 0.109745i
\(881\) 52.4724 1.76784 0.883920 0.467639i \(-0.154895\pi\)
0.883920 + 0.467639i \(0.154895\pi\)
\(882\) −0.924141 2.84421i −0.0311174 0.0957696i
\(883\) 5.54500 + 4.02868i 0.186604 + 0.135576i 0.677165 0.735831i \(-0.263208\pi\)
−0.490561 + 0.871407i \(0.663208\pi\)
\(884\) 7.43071 5.39872i 0.249922 0.181579i
\(885\) −0.00534429 + 0.0164480i −0.000179646 + 0.000552895i
\(886\) 1.54739 4.76239i 0.0519858 0.159996i
\(887\) 19.0076 13.8099i 0.638214 0.463690i −0.221022 0.975269i \(-0.570939\pi\)
0.859236 + 0.511579i \(0.170939\pi\)
\(888\) 0.393586 + 0.285957i 0.0132079 + 0.00959609i
\(889\) 2.66745 + 8.20956i 0.0894633 + 0.275340i
\(890\) −18.4678 −0.619042
\(891\) −29.3491 3.59797i −0.983231 0.120537i
\(892\) −6.98647 −0.233924
\(893\) −1.47297 4.53333i −0.0492910 0.151702i
\(894\) 1.56125 + 1.13432i 0.0522162 + 0.0379373i
\(895\) 2.92061 2.12194i 0.0976251 0.0709288i
\(896\) −0.309017 + 0.951057i −0.0103235 + 0.0317726i
\(897\) −0.119628 + 0.368179i −0.00399428 + 0.0122931i
\(898\) −10.1750 + 7.39258i −0.339545 + 0.246694i
\(899\) 7.89476 + 5.73588i 0.263305 + 0.191302i
\(900\) −0.924141 2.84421i −0.0308047 0.0948071i
\(901\) −1.54797 −0.0515702
\(902\) −5.59231 + 3.10125i −0.186203 + 0.103260i
\(903\) −0.364335 −0.0121243
\(904\) 2.83521 + 8.72587i 0.0942976 + 0.290218i
\(905\) 1.57772 + 1.14628i 0.0524453 + 0.0381038i
\(906\) 0.542642 0.394252i 0.0180281 0.0130982i
\(907\) 10.4771 32.2452i 0.347886 1.07068i −0.612134 0.790754i \(-0.709689\pi\)
0.960020 0.279930i \(-0.0903113\pi\)
\(908\) −7.29626 + 22.4556i −0.242135 + 0.745215i
\(909\) −18.3277 + 13.3159i −0.607893 + 0.441660i
\(910\) −3.50018 2.54303i −0.116030 0.0843006i
\(911\) −15.0841 46.4242i −0.499760 1.53810i −0.809405 0.587250i \(-0.800210\pi\)
0.309645 0.950852i \(-0.399790\pi\)
\(912\) 0.534747 0.0177073
\(913\) 7.62873 4.23056i 0.252474 0.140011i
\(914\) −36.1549 −1.19590
\(915\) −0.390237 1.20103i −0.0129008 0.0397047i
\(916\) −17.0358 12.3772i −0.562878 0.408955i
\(917\) 4.05922 2.94920i 0.134047 0.0973911i
\(918\) −0.381391 + 1.17380i −0.0125878 + 0.0387412i
\(919\) 5.07014 15.6043i 0.167249 0.514738i −0.831946 0.554856i \(-0.812773\pi\)
0.999195 + 0.0401179i \(0.0127734\pi\)
\(920\) −0.745929 + 0.541949i −0.0245926 + 0.0178675i
\(921\) −0.952318 0.691900i −0.0313800 0.0227989i
\(922\) 8.04210 + 24.7510i 0.264852 + 0.815132i
\(923\) −25.7873 −0.848801
\(924\) 0.319475 + 0.0391652i 0.0105100 + 0.00128844i
\(925\) −5.01306 −0.164828
\(926\) 0.789620 + 2.43020i 0.0259485 + 0.0798613i
\(927\) −9.10145 6.61259i −0.298931 0.217186i
\(928\) 6.49495 4.71886i 0.213207 0.154904i
\(929\) −5.86932 + 18.0639i −0.192566 + 0.592658i 0.807430 + 0.589963i \(0.200858\pi\)
−0.999996 + 0.00269460i \(0.999142\pi\)
\(930\) 0.0364523 0.112189i 0.00119532 0.00367881i
\(931\) −4.45786 + 3.23883i −0.146101 + 0.106148i
\(932\) 24.1039 + 17.5125i 0.789550 + 0.573641i
\(933\) −0.173644 0.534421i −0.00568485 0.0174962i
\(934\) 14.4176 0.471760
\(935\) −1.34480 6.91141i −0.0439797 0.226027i
\(936\) 12.9386 0.422913
\(937\) 1.62655 + 5.00601i 0.0531372 + 0.163539i 0.974103 0.226103i \(-0.0725986\pi\)
−0.920966 + 0.389642i \(0.872599\pi\)
\(938\) −2.87511 2.08889i −0.0938756 0.0682046i
\(939\) 0.644942 0.468578i 0.0210469 0.0152915i
\(940\) −0.267316 + 0.822713i −0.00871888 + 0.0268340i
\(941\) 11.3164 34.8284i 0.368905 1.13537i −0.578594 0.815616i \(-0.696398\pi\)
0.947499 0.319758i \(-0.103602\pi\)
\(942\) −0.706709 + 0.513454i −0.0230258 + 0.0167292i
\(943\) 1.43820 + 1.04491i 0.0468342 + 0.0340270i
\(944\) −0.0550695 0.169486i −0.00179236 0.00551631i
\(945\) 0.581365 0.0189118
\(946\) −5.26004 + 11.2858i −0.171019 + 0.366932i
\(947\) 39.3320 1.27812 0.639060 0.769157i \(-0.279324\pi\)
0.639060 + 0.769157i \(0.279324\pi\)
\(948\) 0.395767 + 1.21805i 0.0128539 + 0.0395603i
\(949\) −51.9047 37.7110i −1.68490 1.22415i
\(950\) −4.45786 + 3.23883i −0.144632 + 0.105081i
\(951\) −0.295473 + 0.909373i −0.00958137 + 0.0294884i
\(952\) −0.656028 + 2.01905i −0.0212620 + 0.0654376i
\(953\) 24.4201 17.7422i 0.791044 0.574727i −0.117229 0.993105i \(-0.537401\pi\)
0.908273 + 0.418378i \(0.137401\pi\)
\(954\) −1.76415 1.28173i −0.0571164 0.0414975i
\(955\) 3.93882 + 12.1224i 0.127457 + 0.392273i
\(956\) −18.4084 −0.595370
\(957\) −1.89016 1.76193i −0.0611001 0.0569552i
\(958\) 32.6066 1.05347
\(959\) 2.90086 + 8.92793i 0.0936737 + 0.288298i
\(960\) −0.0785122 0.0570425i −0.00253397 0.00184104i
\(961\) 23.8842 17.3529i 0.770458 0.559771i
\(962\) 6.70221 20.6273i 0.216088 0.665050i
\(963\) 12.3063 37.8749i 0.396565 1.22050i
\(964\) 1.74452 1.26747i 0.0561873 0.0408225i
\(965\) 11.8051 + 8.57694i 0.380021 + 0.276101i
\(966\) −0.0276504 0.0850993i −0.000889638 0.00273802i
\(967\) −52.3303 −1.68283 −0.841414 0.540391i \(-0.818276\pi\)
−0.841414 + 0.540391i \(0.818276\pi\)
\(968\) 5.82558 9.33074i 0.187241 0.299901i
\(969\) 1.13524 0.0364692
\(970\) 0.0264461 + 0.0813928i 0.000849134 + 0.00261337i
\(971\) −27.6446 20.0850i −0.887159 0.644559i 0.0479767 0.998848i \(-0.484723\pi\)
−0.935136 + 0.354290i \(0.884723\pi\)
\(972\) −2.11096 + 1.53370i −0.0677092 + 0.0491936i
\(973\) 2.15125 6.62087i 0.0689659 0.212255i
\(974\) 5.22365 16.0767i 0.167377 0.515132i
\(975\) 0.339680 0.246792i 0.0108785 0.00790367i
\(976\) 10.5275 + 7.64866i 0.336976 + 0.244828i
\(977\) −13.3517 41.0922i −0.427158 1.31466i −0.900913 0.434000i \(-0.857102\pi\)
0.473755 0.880657i \(-0.342898\pi\)
\(978\) −0.686222 −0.0219430
\(979\) −44.8039 41.7644i −1.43194 1.33480i
\(980\) 1.00000 0.0319438
\(981\) 7.43529 + 22.8835i 0.237391 + 0.730613i
\(982\) 31.3627 + 22.7863i 1.00082 + 0.727141i
\(983\) −35.5702 + 25.8432i −1.13451 + 0.824271i −0.986345 0.164691i \(-0.947337\pi\)
−0.148167 + 0.988962i \(0.547337\pi\)
\(984\) −0.0578207 + 0.177954i −0.00184326 + 0.00567296i
\(985\) 7.55851 23.2627i 0.240834 0.741211i
\(986\) 13.7884 10.0179i 0.439114 0.319035i
\(987\) −0.0679171 0.0493447i −0.00216183 0.00157066i
\(988\) −7.36689 22.6730i −0.234372 0.721323i
\(989\) 3.46147 0.110068
\(990\) 4.19010 8.99013i 0.133170 0.285725i
\(991\) 11.0881 0.352224 0.176112 0.984370i \(-0.443648\pi\)
0.176112 + 0.984370i \(0.443648\pi\)
\(992\) 0.375617 + 1.15603i 0.0119259 + 0.0367040i
\(993\) 0.448831 + 0.326095i 0.0142432 + 0.0103483i
\(994\) 4.82205 3.50342i 0.152946 0.111122i
\(995\) −3.24463 + 9.98595i −0.102862 + 0.316576i
\(996\) 0.0788759 0.242755i 0.00249928 0.00769199i
\(997\) −11.5985 + 8.42680i −0.367328 + 0.266879i −0.756102 0.654454i \(-0.772899\pi\)
0.388774 + 0.921333i \(0.372899\pi\)
\(998\) 30.4655 + 22.1345i 0.964370 + 0.700656i
\(999\) 0.900604 + 2.77177i 0.0284938 + 0.0876950i
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 770.2.n.g.71.2 12
11.3 even 5 8470.2.a.db.1.4 6
11.8 odd 10 8470.2.a.cv.1.4 6
11.9 even 5 inner 770.2.n.g.141.2 yes 12
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
770.2.n.g.71.2 12 1.1 even 1 trivial
770.2.n.g.141.2 yes 12 11.9 even 5 inner
8470.2.a.cv.1.4 6 11.8 odd 10
8470.2.a.db.1.4 6 11.3 even 5