Properties

Label 930.2.y.a.29.14
Level $930$
Weight $2$
Character 930.29
Analytic conductor $7.426$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [930,2,Mod(29,930)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(930, base_ring=CyclotomicField(10))
 
chi = DirichletCharacter(H, H._module([5, 5, 3]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("930.29");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.y (of order \(10\), 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: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(32\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 29.14
Character \(\chi\) \(=\) 930.29
Dual form 930.2.y.a.449.14

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.809017 - 0.587785i) q^{2} +(-0.292097 + 1.70724i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.90023 + 1.17861i) q^{5} +(1.23980 - 1.20950i) q^{6} +(-0.119229 + 0.0387399i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-2.82936 - 0.997360i) q^{9} +O(q^{10})\) \(q+(-0.809017 - 0.587785i) q^{2} +(-0.292097 + 1.70724i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.90023 + 1.17861i) q^{5} +(1.23980 - 1.20950i) q^{6} +(-0.119229 + 0.0387399i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-2.82936 - 0.997360i) q^{9} +(-0.844545 - 2.07045i) q^{10} +(1.05453 + 3.24551i) q^{11} +(-1.71395 + 0.249767i) q^{12} +(-3.34015 + 2.42676i) q^{13} +(0.119229 + 0.0387399i) q^{14} +(-2.56723 + 2.89988i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-4.56824 - 1.48431i) q^{17} +(1.70277 + 2.46994i) q^{18} +(3.03247 + 2.20322i) q^{19} +(-0.533725 + 2.17144i) q^{20} +(-0.0313120 - 0.214869i) q^{21} +(1.05453 - 3.24551i) q^{22} +(-6.00314 - 1.95054i) q^{23} +(1.53342 + 0.805368i) q^{24} +(2.22174 + 4.47927i) q^{25} +4.12865 q^{26} +(2.52918 - 4.53908i) q^{27} +(-0.0736877 - 0.101422i) q^{28} +(-0.325986 - 0.236843i) q^{29} +(3.78144 - 0.837074i) q^{30} +(4.97345 + 2.50296i) q^{31} +1.00000 q^{32} +(-5.84890 + 0.852336i) q^{33} +(2.82333 + 3.88597i) q^{34} +(-0.272222 - 0.0669105i) q^{35} +(0.0742262 - 2.99908i) q^{36} +1.75312 q^{37} +(-1.15830 - 3.56488i) q^{38} +(-3.16742 - 6.41130i) q^{39} +(1.70813 - 1.44301i) q^{40} +(-0.315142 + 0.433756i) q^{41} +(-0.100965 + 0.192237i) q^{42} +(0.245652 + 0.178476i) q^{43} +(-2.76080 + 2.00584i) q^{44} +(-4.20093 - 5.22993i) q^{45} +(3.71015 + 5.10658i) q^{46} +(0.109494 - 0.0795523i) q^{47} +(-0.767181 - 1.55288i) q^{48} +(-5.65040 + 4.10526i) q^{49} +(0.835426 - 4.92971i) q^{50} +(3.86845 - 7.36553i) q^{51} +(-3.34015 - 2.42676i) q^{52} +(-1.38901 - 0.451317i) q^{53} +(-4.71416 + 2.18557i) q^{54} +(-1.82135 + 7.41010i) q^{55} +0.125365i q^{56} +(-4.64721 + 4.53361i) q^{57} +(0.124516 + 0.383220i) q^{58} +(-7.96025 - 10.9563i) q^{59} +(-3.55127 - 1.54547i) q^{60} +5.88769i q^{61} +(-2.55240 - 4.94826i) q^{62} +(0.375980 + 0.00930537i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(-9.20726 + 0.674653i) q^{65} +(5.23285 + 2.74834i) q^{66} -3.17378i q^{67} -4.80333i q^{68} +(5.08354 - 9.67908i) q^{69} +(0.180903 + 0.214140i) q^{70} +(-10.8805 - 3.53528i) q^{71} +(-1.82287 + 2.38268i) q^{72} +(1.96148 + 6.03683i) q^{73} +(-1.41830 - 1.03046i) q^{74} +(-8.29617 + 2.48467i) q^{75} +(-1.15830 + 3.56488i) q^{76} +(-0.251462 - 0.346107i) q^{77} +(-1.20597 + 7.04861i) q^{78} +(5.76977 + 1.87471i) q^{79} +(-2.23009 + 0.163408i) q^{80} +(7.01054 + 5.64378i) q^{81} +(0.509910 - 0.165680i) q^{82} +(-4.36542 + 6.00849i) q^{83} +(0.194677 - 0.0961776i) q^{84} +(-6.93127 - 8.20472i) q^{85} +(-0.0938306 - 0.288781i) q^{86} +(0.499568 - 0.487357i) q^{87} +3.41253 q^{88} +(4.72369 + 14.5380i) q^{89} +(0.324542 + 6.70035i) q^{90} +(0.304231 - 0.418738i) q^{91} -6.31208i q^{92} +(-5.72590 + 7.75977i) q^{93} -0.135342 q^{94} +(3.16564 + 7.76073i) q^{95} +(-0.292097 + 1.70724i) q^{96} +(-5.65197 + 1.83644i) q^{97} +6.98428 q^{98} +(0.253299 - 10.2345i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128 q - 32 q^{2} - 32 q^{4} + 2 q^{5} - 32 q^{8} - 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 128 q - 32 q^{2} - 32 q^{4} + 2 q^{5} - 32 q^{8} - 4 q^{9} + 2 q^{10} + 25 q^{15} - 32 q^{16} + 6 q^{18} - 8 q^{19} - 3 q^{20} - 20 q^{23} - 10 q^{25} - 48 q^{31} + 128 q^{32} - 8 q^{33} + 10 q^{34} + 16 q^{35} - 4 q^{36} + 12 q^{38} + 4 q^{39} - 3 q^{40} + 37 q^{45} + 10 q^{46} + 6 q^{47} + 46 q^{49} - 5 q^{50} + 34 q^{51} - 20 q^{53} - 25 q^{60} - 8 q^{62} + 36 q^{63} - 32 q^{64} - 8 q^{66} + 8 q^{69} + 16 q^{70} + 6 q^{72} + 5 q^{75} + 12 q^{76} + 50 q^{77} + 4 q^{78} - 10 q^{79} + 2 q^{80} - 24 q^{81} - 40 q^{83} - 30 q^{85} - 4 q^{87} - 53 q^{90} + 20 q^{91} - 26 q^{93} - 4 q^{94} - 26 q^{95} - 124 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{3}{10}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.809017 0.587785i −0.572061 0.415627i
\(3\) −0.292097 + 1.70724i −0.168642 + 0.985677i
\(4\) 0.309017 + 0.951057i 0.154508 + 0.475528i
\(5\) 1.90023 + 1.17861i 0.849808 + 0.527092i
\(6\) 1.23980 1.20950i 0.506148 0.493776i
\(7\) −0.119229 + 0.0387399i −0.0450644 + 0.0146423i −0.331462 0.943468i \(-0.607542\pi\)
0.286398 + 0.958111i \(0.407542\pi\)
\(8\) 0.309017 0.951057i 0.109254 0.336249i
\(9\) −2.82936 0.997360i −0.943120 0.332453i
\(10\) −0.844545 2.07045i −0.267069 0.654732i
\(11\) 1.05453 + 3.24551i 0.317953 + 0.978558i 0.974522 + 0.224292i \(0.0720070\pi\)
−0.656569 + 0.754266i \(0.727993\pi\)
\(12\) −1.71395 + 0.249767i −0.494774 + 0.0721014i
\(13\) −3.34015 + 2.42676i −0.926391 + 0.673062i −0.945106 0.326763i \(-0.894042\pi\)
0.0187159 + 0.999825i \(0.494042\pi\)
\(14\) 0.119229 + 0.0387399i 0.0318653 + 0.0103537i
\(15\) −2.56723 + 2.89988i −0.662856 + 0.748747i
\(16\) −0.809017 + 0.587785i −0.202254 + 0.146946i
\(17\) −4.56824 1.48431i −1.10796 0.359998i −0.302799 0.953054i \(-0.597921\pi\)
−0.805161 + 0.593056i \(0.797921\pi\)
\(18\) 1.70277 + 2.46994i 0.401346 + 0.582170i
\(19\) 3.03247 + 2.20322i 0.695697 + 0.505453i 0.878528 0.477691i \(-0.158526\pi\)
−0.182831 + 0.983144i \(0.558526\pi\)
\(20\) −0.533725 + 2.17144i −0.119345 + 0.485548i
\(21\) −0.0313120 0.214869i −0.00683284 0.0468883i
\(22\) 1.05453 3.24551i 0.224827 0.691945i
\(23\) −6.00314 1.95054i −1.25174 0.406716i −0.393197 0.919454i \(-0.628631\pi\)
−0.858545 + 0.512738i \(0.828631\pi\)
\(24\) 1.53342 + 0.805368i 0.313008 + 0.164395i
\(25\) 2.22174 + 4.47927i 0.444348 + 0.895854i
\(26\) 4.12865 0.809695
\(27\) 2.52918 4.53908i 0.486742 0.873546i
\(28\) −0.0736877 0.101422i −0.0139257 0.0191670i
\(29\) −0.325986 0.236843i −0.0605341 0.0439806i 0.557107 0.830441i \(-0.311911\pi\)
−0.617641 + 0.786460i \(0.711911\pi\)
\(30\) 3.78144 0.837074i 0.690394 0.152828i
\(31\) 4.97345 + 2.50296i 0.893257 + 0.449546i
\(32\) 1.00000 0.176777
\(33\) −5.84890 + 0.852336i −1.01816 + 0.148373i
\(34\) 2.82333 + 3.88597i 0.484196 + 0.666439i
\(35\) −0.272222 0.0669105i −0.0460139 0.0113099i
\(36\) 0.0742262 2.99908i 0.0123710 0.499847i
\(37\) 1.75312 0.288211 0.144105 0.989562i \(-0.453970\pi\)
0.144105 + 0.989562i \(0.453970\pi\)
\(38\) −1.15830 3.56488i −0.187901 0.578301i
\(39\) −3.16742 6.41130i −0.507194 1.02663i
\(40\) 1.70813 1.44301i 0.270079 0.228160i
\(41\) −0.315142 + 0.433756i −0.0492169 + 0.0677412i −0.832916 0.553399i \(-0.813330\pi\)
0.783699 + 0.621141i \(0.213330\pi\)
\(42\) −0.100965 + 0.192237i −0.0155792 + 0.0296629i
\(43\) 0.245652 + 0.178476i 0.0374615 + 0.0272174i 0.606358 0.795191i \(-0.292630\pi\)
−0.568897 + 0.822409i \(0.692630\pi\)
\(44\) −2.76080 + 2.00584i −0.416206 + 0.302391i
\(45\) −4.20093 5.22993i −0.626237 0.779633i
\(46\) 3.71015 + 5.10658i 0.547031 + 0.752924i
\(47\) 0.109494 0.0795523i 0.0159714 0.0116039i −0.579771 0.814780i \(-0.696858\pi\)
0.595742 + 0.803176i \(0.296858\pi\)
\(48\) −0.767181 1.55288i −0.110733 0.224139i
\(49\) −5.65040 + 4.10526i −0.807201 + 0.586466i
\(50\) 0.835426 4.92971i 0.118147 0.697167i
\(51\) 3.86845 7.36553i 0.541691 1.03138i
\(52\) −3.34015 2.42676i −0.463195 0.336531i
\(53\) −1.38901 0.451317i −0.190795 0.0619932i 0.212061 0.977256i \(-0.431983\pi\)
−0.402856 + 0.915263i \(0.631983\pi\)
\(54\) −4.71416 + 2.18557i −0.641515 + 0.297419i
\(55\) −1.82135 + 7.41010i −0.245591 + 0.999177i
\(56\) 0.125365i 0.0167526i
\(57\) −4.64721 + 4.53361i −0.615538 + 0.600492i
\(58\) 0.124516 + 0.383220i 0.0163497 + 0.0503192i
\(59\) −7.96025 10.9563i −1.03634 1.42639i −0.900082 0.435720i \(-0.856494\pi\)
−0.136254 0.990674i \(-0.543506\pi\)
\(60\) −3.55127 1.54547i −0.458467 0.199519i
\(61\) 5.88769i 0.753842i 0.926245 + 0.376921i \(0.123017\pi\)
−0.926245 + 0.376921i \(0.876983\pi\)
\(62\) −2.55240 4.94826i −0.324155 0.628430i
\(63\) 0.375980 + 0.00930537i 0.0473690 + 0.00117237i
\(64\) −0.809017 0.587785i −0.101127 0.0734732i
\(65\) −9.20726 + 0.674653i −1.14202 + 0.0836805i
\(66\) 5.23285 + 2.74834i 0.644119 + 0.338298i
\(67\) 3.17378i 0.387739i −0.981027 0.193870i \(-0.937896\pi\)
0.981027 0.193870i \(-0.0621039\pi\)
\(68\) 4.80333i 0.582489i
\(69\) 5.08354 9.67908i 0.611987 1.16522i
\(70\) 0.180903 + 0.214140i 0.0216221 + 0.0255946i
\(71\) −10.8805 3.53528i −1.29127 0.419560i −0.418736 0.908108i \(-0.637527\pi\)
−0.872537 + 0.488548i \(0.837527\pi\)
\(72\) −1.82287 + 2.38268i −0.214827 + 0.280801i
\(73\) 1.96148 + 6.03683i 0.229574 + 0.706557i 0.997795 + 0.0663718i \(0.0211424\pi\)
−0.768221 + 0.640185i \(0.778858\pi\)
\(74\) −1.41830 1.03046i −0.164874 0.119788i
\(75\) −8.29617 + 2.48467i −0.957959 + 0.286905i
\(76\) −1.15830 + 3.56488i −0.132866 + 0.408920i
\(77\) −0.251462 0.346107i −0.0286567 0.0394426i
\(78\) −1.20597 + 7.04861i −0.136549 + 0.798098i
\(79\) 5.76977 + 1.87471i 0.649150 + 0.210922i 0.615039 0.788496i \(-0.289140\pi\)
0.0341106 + 0.999418i \(0.489140\pi\)
\(80\) −2.23009 + 0.163408i −0.249332 + 0.0182695i
\(81\) 7.01054 + 5.64378i 0.778949 + 0.627087i
\(82\) 0.509910 0.165680i 0.0563102 0.0182963i
\(83\) −4.36542 + 6.00849i −0.479167 + 0.659517i −0.978345 0.206983i \(-0.933636\pi\)
0.499177 + 0.866500i \(0.333636\pi\)
\(84\) 0.194677 0.0961776i 0.0212410 0.0104938i
\(85\) −6.93127 8.20472i −0.751801 0.889926i
\(86\) −0.0938306 0.288781i −0.0101180 0.0311401i
\(87\) 0.499568 0.487357i 0.0535593 0.0522501i
\(88\) 3.41253 0.363777
\(89\) 4.72369 + 14.5380i 0.500710 + 1.54103i 0.807865 + 0.589367i \(0.200623\pi\)
−0.307156 + 0.951659i \(0.599377\pi\)
\(90\) 0.324542 + 6.70035i 0.0342097 + 0.706279i
\(91\) 0.304231 0.418738i 0.0318920 0.0438956i
\(92\) 6.31208i 0.658080i
\(93\) −5.72590 + 7.75977i −0.593748 + 0.804651i
\(94\) −0.135342 −0.0139595
\(95\) 3.16564 + 7.76073i 0.324788 + 0.796235i
\(96\) −0.292097 + 1.70724i −0.0298120 + 0.174245i
\(97\) −5.65197 + 1.83644i −0.573870 + 0.186462i −0.581553 0.813509i \(-0.697555\pi\)
0.00768244 + 0.999970i \(0.497555\pi\)
\(98\) 6.98428 0.705519
\(99\) 0.253299 10.2345i 0.0254575 1.02860i
\(100\) −3.57349 + 3.49717i −0.357349 + 0.349717i
\(101\) 3.41130 + 1.10840i 0.339437 + 0.110290i 0.473775 0.880646i \(-0.342891\pi\)
−0.134338 + 0.990936i \(0.542891\pi\)
\(102\) −7.45899 + 3.68502i −0.738550 + 0.364872i
\(103\) −4.76167 + 6.55387i −0.469181 + 0.645772i −0.976381 0.216056i \(-0.930681\pi\)
0.507200 + 0.861828i \(0.330681\pi\)
\(104\) 1.27582 + 3.92658i 0.125105 + 0.385033i
\(105\) 0.193748 0.445205i 0.0189078 0.0434476i
\(106\) 0.858456 + 1.18156i 0.0833806 + 0.114764i
\(107\) −1.01329 + 3.11860i −0.0979588 + 0.301486i −0.988013 0.154368i \(-0.950666\pi\)
0.890055 + 0.455854i \(0.150666\pi\)
\(108\) 5.09848 + 1.00274i 0.490602 + 0.0964891i
\(109\) −1.78954 + 1.30018i −0.171407 + 0.124535i −0.670181 0.742197i \(-0.733784\pi\)
0.498774 + 0.866732i \(0.333784\pi\)
\(110\) 5.82905 4.92433i 0.555778 0.469516i
\(111\) −0.512080 + 2.99300i −0.0486045 + 0.284083i
\(112\) 0.0736877 0.101422i 0.00696283 0.00958352i
\(113\) −0.808255 2.48755i −0.0760342 0.234009i 0.905815 0.423674i \(-0.139260\pi\)
−0.981849 + 0.189665i \(0.939260\pi\)
\(114\) 6.42446 0.936211i 0.601706 0.0876842i
\(115\) −9.10841 10.7819i −0.849364 1.00541i
\(116\) 0.124516 0.383220i 0.0115610 0.0355811i
\(117\) 11.8708 3.53484i 1.09746 0.326796i
\(118\) 13.5428i 1.24671i
\(119\) 0.602169 0.0552008
\(120\) 1.96463 + 3.33770i 0.179346 + 0.304689i
\(121\) −0.522114 + 0.379338i −0.0474649 + 0.0344853i
\(122\) 3.46070 4.76324i 0.313317 0.431244i
\(123\) −0.648474 0.664722i −0.0584710 0.0599360i
\(124\) −0.843581 + 5.50349i −0.0757558 + 0.494228i
\(125\) −1.05752 + 11.1302i −0.0945876 + 0.995517i
\(126\) −0.298704 0.228524i −0.0266107 0.0203585i
\(127\) 14.8428 10.7839i 1.31708 0.956918i 0.317121 0.948385i \(-0.397284\pi\)
0.999964 0.00853271i \(-0.00271608\pi\)
\(128\) 0.309017 + 0.951057i 0.0273135 + 0.0840623i
\(129\) −0.376457 + 0.367255i −0.0331452 + 0.0323350i
\(130\) 7.84538 + 4.86609i 0.688085 + 0.426784i
\(131\) 8.11609 2.63708i 0.709106 0.230403i 0.0678125 0.997698i \(-0.478398\pi\)
0.641294 + 0.767296i \(0.278398\pi\)
\(132\) −2.61803 5.29925i −0.227870 0.461240i
\(133\) −0.446912 0.145210i −0.0387522 0.0125913i
\(134\) −1.86550 + 2.56765i −0.161155 + 0.221811i
\(135\) 10.1558 5.64436i 0.874076 0.485789i
\(136\) −2.82333 + 3.88597i −0.242098 + 0.333220i
\(137\) 12.4740 + 17.1689i 1.06572 + 1.46684i 0.874333 + 0.485326i \(0.161299\pi\)
0.191389 + 0.981514i \(0.438701\pi\)
\(138\) −9.80190 + 4.84251i −0.834393 + 0.412222i
\(139\) −11.4813 15.8027i −0.973833 1.34037i −0.940087 0.340936i \(-0.889256\pi\)
−0.0337462 0.999430i \(-0.510744\pi\)
\(140\) −0.0204856 0.279575i −0.00173135 0.0236284i
\(141\) 0.103832 + 0.210170i 0.00874425 + 0.0176995i
\(142\) 6.72449 + 9.25547i 0.564307 + 0.776702i
\(143\) −11.3984 8.28139i −0.953179 0.692525i
\(144\) 2.87523 0.856174i 0.239603 0.0713478i
\(145\) −0.340302 0.834268i −0.0282606 0.0692822i
\(146\) 1.96148 6.03683i 0.162334 0.499611i
\(147\) −5.35821 10.8457i −0.441938 0.894542i
\(148\) 0.541743 + 1.66731i 0.0445310 + 0.137052i
\(149\) 0.866915i 0.0710205i 0.999369 + 0.0355102i \(0.0113056\pi\)
−0.999369 + 0.0355102i \(0.988694\pi\)
\(150\) 8.17219 + 2.86623i 0.667257 + 0.234027i
\(151\) −0.869037 + 0.282367i −0.0707212 + 0.0229787i −0.344164 0.938910i \(-0.611838\pi\)
0.273443 + 0.961888i \(0.411838\pi\)
\(152\) 3.03247 2.20322i 0.245966 0.178705i
\(153\) 11.4448 + 8.75583i 0.925256 + 0.707867i
\(154\) 0.427812i 0.0344741i
\(155\) 6.50066 + 10.6180i 0.522145 + 0.852857i
\(156\) 5.11872 4.99360i 0.409825 0.399808i
\(157\) 1.54721 2.12956i 0.123481 0.169957i −0.742801 0.669512i \(-0.766503\pi\)
0.866282 + 0.499555i \(0.166503\pi\)
\(158\) −3.56591 4.90806i −0.283689 0.390464i
\(159\) 1.17623 2.23955i 0.0932814 0.177608i
\(160\) 1.90023 + 1.17861i 0.150226 + 0.0931776i
\(161\) 0.791314 0.0623643
\(162\) −2.35432 8.68661i −0.184973 0.682485i
\(163\) 11.7896 + 3.83068i 0.923434 + 0.300042i 0.731875 0.681439i \(-0.238646\pi\)
0.191559 + 0.981481i \(0.438646\pi\)
\(164\) −0.509910 0.165680i −0.0398173 0.0129374i
\(165\) −12.1188 5.27396i −0.943449 0.410577i
\(166\) 7.06340 2.29504i 0.548226 0.178129i
\(167\) −2.83695 + 3.90473i −0.219530 + 0.302157i −0.904550 0.426367i \(-0.859793\pi\)
0.685020 + 0.728524i \(0.259793\pi\)
\(168\) −0.214028 0.0366187i −0.0165127 0.00282519i
\(169\) 1.25021 3.84774i 0.0961698 0.295980i
\(170\) 0.784901 + 10.7119i 0.0601992 + 0.821562i
\(171\) −6.38255 9.25817i −0.488086 0.707990i
\(172\) −0.0938306 + 0.288781i −0.00715452 + 0.0220193i
\(173\) 18.4436 13.4000i 1.40224 1.01879i 0.407845 0.913051i \(-0.366280\pi\)
0.994394 0.105736i \(-0.0337198\pi\)
\(174\) −0.690620 + 0.100641i −0.0523558 + 0.00762959i
\(175\) −0.438423 0.447990i −0.0331416 0.0338649i
\(176\) −2.76080 2.00584i −0.208103 0.151196i
\(177\) 21.0303 10.3898i 1.58073 0.780943i
\(178\) 4.72369 14.5380i 0.354055 1.08967i
\(179\) 0.308395 + 0.949142i 0.0230505 + 0.0709422i 0.961920 0.273331i \(-0.0881254\pi\)
−0.938870 + 0.344273i \(0.888125\pi\)
\(180\) 3.67581 5.61146i 0.273978 0.418253i
\(181\) 10.4778i 0.778810i 0.921067 + 0.389405i \(0.127319\pi\)
−0.921067 + 0.389405i \(0.872681\pi\)
\(182\) −0.492256 + 0.159944i −0.0364884 + 0.0118558i
\(183\) −10.0517 1.71978i −0.743045 0.127129i
\(184\) −3.71015 + 5.10658i −0.273516 + 0.376462i
\(185\) 3.33132 + 2.06625i 0.244924 + 0.151914i
\(186\) 9.19343 2.91219i 0.674095 0.213532i
\(187\) 16.3915i 1.19867i
\(188\) 0.109494 + 0.0795523i 0.00798570 + 0.00580195i
\(189\) −0.125709 + 0.639171i −0.00914398 + 0.0464928i
\(190\) 2.00059 8.13929i 0.145138 0.590486i
\(191\) 24.3398i 1.76117i −0.473890 0.880584i \(-0.657150\pi\)
0.473890 0.880584i \(-0.342850\pi\)
\(192\) 1.23980 1.20950i 0.0894751 0.0872880i
\(193\) −1.71927 + 0.558626i −0.123756 + 0.0402108i −0.370240 0.928936i \(-0.620725\pi\)
0.246484 + 0.969147i \(0.420725\pi\)
\(194\) 5.65197 + 1.83644i 0.405788 + 0.131848i
\(195\) 1.53761 15.9161i 0.110111 1.13978i
\(196\) −5.65040 4.10526i −0.403600 0.293233i
\(197\) −23.1350 + 7.51701i −1.64830 + 0.535565i −0.978370 0.206862i \(-0.933675\pi\)
−0.669928 + 0.742426i \(0.733675\pi\)
\(198\) −6.22059 + 8.13097i −0.442078 + 0.577843i
\(199\) 8.80053 + 12.1129i 0.623853 + 0.858660i 0.997626 0.0688602i \(-0.0219363\pi\)
−0.373773 + 0.927520i \(0.621936\pi\)
\(200\) 4.94660 0.728828i 0.349777 0.0515359i
\(201\) 5.41842 + 0.927052i 0.382186 + 0.0653892i
\(202\) −2.10830 2.90183i −0.148340 0.204172i
\(203\) 0.0480423 + 0.0156099i 0.00337191 + 0.00109560i
\(204\) 8.20045 + 1.40304i 0.574146 + 0.0982322i
\(205\) −1.11007 + 0.452804i −0.0775308 + 0.0316252i
\(206\) 7.70454 2.50336i 0.536801 0.174417i
\(207\) 15.0397 + 11.5061i 1.04533 + 0.799728i
\(208\) 1.27582 3.92658i 0.0884624 0.272259i
\(209\) −3.95274 + 12.1653i −0.273417 + 0.841490i
\(210\) −0.418430 + 0.246296i −0.0288744 + 0.0169961i
\(211\) 18.8409 1.29706 0.648532 0.761188i \(-0.275383\pi\)
0.648532 + 0.761188i \(0.275383\pi\)
\(212\) 1.46049i 0.100307i
\(213\) 9.21372 17.5429i 0.631314 1.20202i
\(214\) 2.65284 1.92740i 0.181344 0.131754i
\(215\) 0.256440 + 0.628675i 0.0174890 + 0.0428753i
\(216\) −3.53536 3.80805i −0.240551 0.259105i
\(217\) −0.689945 0.105756i −0.0468365 0.00717915i
\(218\) 2.21200 0.149815
\(219\) −10.8793 + 1.58539i −0.735153 + 0.107131i
\(220\) −7.61025 + 0.557634i −0.513083 + 0.0375957i
\(221\) 18.8607 6.12820i 1.26871 0.412227i
\(222\) 2.17352 2.12039i 0.145877 0.142311i
\(223\) −0.382767 −0.0256320 −0.0128160 0.999918i \(-0.504080\pi\)
−0.0128160 + 0.999918i \(0.504080\pi\)
\(224\) −0.119229 + 0.0387399i −0.00796633 + 0.00258842i
\(225\) −1.81865 14.8893i −0.121243 0.992623i
\(226\) −0.808255 + 2.48755i −0.0537643 + 0.165470i
\(227\) 12.7303 + 9.24913i 0.844942 + 0.613886i 0.923747 0.383004i \(-0.125110\pi\)
−0.0788050 + 0.996890i \(0.525110\pi\)
\(228\) −5.74779 3.01879i −0.380657 0.199924i
\(229\) −15.9220 + 21.9148i −1.05216 + 1.44817i −0.165233 + 0.986254i \(0.552838\pi\)
−0.886924 + 0.461916i \(0.847162\pi\)
\(230\) 1.03144 + 14.0765i 0.0680113 + 0.928177i
\(231\) 0.664340 0.328209i 0.0437104 0.0215946i
\(232\) −0.325986 + 0.236843i −0.0214020 + 0.0155495i
\(233\) −2.22973 + 1.61999i −0.146074 + 0.106129i −0.658422 0.752649i \(-0.728776\pi\)
0.512348 + 0.858778i \(0.328776\pi\)
\(234\) −11.6814 4.11775i −0.763639 0.269186i
\(235\) 0.301826 0.0221160i 0.0196889 0.00144269i
\(236\) 7.96025 10.9563i 0.518168 0.713197i
\(237\) −4.88592 + 9.30280i −0.317375 + 0.604282i
\(238\) −0.487165 0.353946i −0.0315782 0.0229429i
\(239\) 3.36200 10.3472i 0.217470 0.669303i −0.781499 0.623906i \(-0.785545\pi\)
0.998969 0.0453967i \(-0.0144552\pi\)
\(240\) 0.372425 3.85504i 0.0240399 0.248841i
\(241\) −6.60124 + 2.14487i −0.425223 + 0.138163i −0.513808 0.857905i \(-0.671766\pi\)
0.0885848 + 0.996069i \(0.471766\pi\)
\(242\) 0.645368 0.0414858
\(243\) −11.6831 + 10.3202i −0.749469 + 0.662039i
\(244\) −5.59953 + 1.81940i −0.358473 + 0.116475i
\(245\) −15.5756 + 1.14129i −0.995087 + 0.0729141i
\(246\) 0.133913 + 0.918935i 0.00853796 + 0.0585892i
\(247\) −15.4756 −0.984688
\(248\) 3.91734 3.95657i 0.248751 0.251242i
\(249\) −8.98282 9.20790i −0.569263 0.583527i
\(250\) 7.39773 8.38294i 0.467873 0.530183i
\(251\) 12.4737 9.06266i 0.787332 0.572030i −0.119839 0.992793i \(-0.538238\pi\)
0.907170 + 0.420763i \(0.138238\pi\)
\(252\) 0.107334 + 0.360454i 0.00676142 + 0.0227064i
\(253\) 21.5402i 1.35422i
\(254\) −18.3467 −1.15117
\(255\) 16.0320 9.43679i 1.00397 0.590955i
\(256\) 0.309017 0.951057i 0.0193136 0.0594410i
\(257\) −4.08247 + 12.5645i −0.254657 + 0.783755i 0.739240 + 0.673442i \(0.235185\pi\)
−0.993897 + 0.110312i \(0.964815\pi\)
\(258\) 0.520427 0.0758397i 0.0324004 0.00472157i
\(259\) −0.209023 + 0.0679156i −0.0129880 + 0.00422007i
\(260\) −3.48683 8.54814i −0.216244 0.530133i
\(261\) 0.686114 + 0.995239i 0.0424694 + 0.0616038i
\(262\) −8.11609 2.63708i −0.501414 0.162919i
\(263\) 15.4752 + 21.2998i 0.954241 + 1.31340i 0.949618 + 0.313411i \(0.101472\pi\)
0.00462350 + 0.999989i \(0.498528\pi\)
\(264\) −0.996789 + 5.82602i −0.0613481 + 0.358567i
\(265\) −2.10751 2.49471i −0.129463 0.153249i
\(266\) 0.276207 + 0.380166i 0.0169353 + 0.0233095i
\(267\) −26.1997 + 3.81798i −1.60340 + 0.233656i
\(268\) 3.01845 0.980753i 0.184381 0.0599090i
\(269\) −5.83742 4.24114i −0.355914 0.258587i 0.395432 0.918495i \(-0.370595\pi\)
−0.751346 + 0.659909i \(0.770595\pi\)
\(270\) −11.5339 1.40308i −0.701932 0.0853886i
\(271\) 8.41040 + 2.73271i 0.510896 + 0.166000i 0.553109 0.833109i \(-0.313441\pi\)
−0.0422139 + 0.999109i \(0.513441\pi\)
\(272\) 4.56824 1.48431i 0.276990 0.0899995i
\(273\) 0.626022 + 0.641708i 0.0378886 + 0.0388379i
\(274\) 21.2220i 1.28207i
\(275\) −12.1946 + 11.9342i −0.735364 + 0.719659i
\(276\) 10.7763 + 1.84374i 0.648654 + 0.110980i
\(277\) 25.8100 + 18.7521i 1.55077 + 1.12670i 0.943097 + 0.332518i \(0.107898\pi\)
0.607676 + 0.794185i \(0.292102\pi\)
\(278\) 19.5332i 1.17152i
\(279\) −11.5753 12.0421i −0.692996 0.720942i
\(280\) −0.147757 + 0.238222i −0.00883016 + 0.0142365i
\(281\) 13.9875 19.2521i 0.834421 1.14848i −0.152663 0.988278i \(-0.548785\pi\)
0.987084 0.160204i \(-0.0512152\pi\)
\(282\) 0.0395331 0.231062i 0.00235416 0.0137596i
\(283\) 24.3953 7.92650i 1.45015 0.471182i 0.525103 0.851039i \(-0.324027\pi\)
0.925045 + 0.379857i \(0.124027\pi\)
\(284\) 11.4404i 0.678862i
\(285\) −14.1741 + 3.13764i −0.839603 + 0.185858i
\(286\) 4.35379 + 13.3996i 0.257445 + 0.792334i
\(287\) 0.0207705 0.0639249i 0.00122604 0.00377337i
\(288\) −2.82936 0.997360i −0.166722 0.0587700i
\(289\) 4.91232 + 3.56901i 0.288960 + 0.209942i
\(290\) −0.215060 + 0.874961i −0.0126288 + 0.0513795i
\(291\) −1.48432 10.1857i −0.0870124 0.597096i
\(292\) −5.13523 + 3.73096i −0.300517 + 0.218338i
\(293\) 4.54063 13.9746i 0.265267 0.816407i −0.726365 0.687309i \(-0.758792\pi\)
0.991632 0.129098i \(-0.0412081\pi\)
\(294\) −2.04009 + 11.9239i −0.118980 + 0.695414i
\(295\) −2.21300 30.2016i −0.128846 1.75841i
\(296\) 0.541743 1.66731i 0.0314882 0.0969107i
\(297\) 17.3987 + 3.42190i 1.00958 + 0.198559i
\(298\) 0.509560 0.701349i 0.0295180 0.0406281i
\(299\) 24.7849 8.05310i 1.43335 0.465723i
\(300\) −4.92672 7.12232i −0.284444 0.411207i
\(301\) −0.0362030 0.0117631i −0.00208671 0.000678012i
\(302\) 0.869037 + 0.282367i 0.0500074 + 0.0162484i
\(303\) −2.88874 + 5.50016i −0.165954 + 0.315976i
\(304\) −3.74834 −0.214982
\(305\) −6.93932 + 11.1880i −0.397344 + 0.640621i
\(306\) −4.11248 13.8107i −0.235095 0.789505i
\(307\) 15.0684 + 20.7399i 0.860000 + 1.18369i 0.981569 + 0.191106i \(0.0612074\pi\)
−0.121569 + 0.992583i \(0.538793\pi\)
\(308\) 0.251462 0.346107i 0.0143283 0.0197213i
\(309\) −9.79818 10.0437i −0.557399 0.571365i
\(310\) 0.981949 12.4111i 0.0557710 0.704904i
\(311\) 12.3689i 0.701373i 0.936493 + 0.350687i \(0.114052\pi\)
−0.936493 + 0.350687i \(0.885948\pi\)
\(312\) −7.07629 + 1.03120i −0.400616 + 0.0583802i
\(313\) −6.39041 + 4.64290i −0.361207 + 0.262432i −0.753555 0.657384i \(-0.771663\pi\)
0.392348 + 0.919817i \(0.371663\pi\)
\(314\) −2.50344 + 0.813418i −0.141277 + 0.0459038i
\(315\) 0.703480 + 0.460817i 0.0396366 + 0.0259641i
\(316\) 6.06670i 0.341278i
\(317\) −2.11650 6.51393i −0.118875 0.365859i 0.873861 0.486176i \(-0.161609\pi\)
−0.992735 + 0.120318i \(0.961609\pi\)
\(318\) −2.26797 + 1.12046i −0.127181 + 0.0628324i
\(319\) 0.424914 1.30775i 0.0237906 0.0732199i
\(320\) −0.844545 2.07045i −0.0472115 0.115741i
\(321\) −5.02823 2.64087i −0.280648 0.147399i
\(322\) −0.640186 0.465122i −0.0356762 0.0259203i
\(323\) −10.5828 14.5660i −0.588842 0.810472i
\(324\) −3.20118 + 8.41145i −0.177843 + 0.467303i
\(325\) −18.2911 9.56981i −1.01461 0.530837i
\(326\) −7.28639 10.0288i −0.403556 0.555447i
\(327\) −1.69700 3.43497i −0.0938445 0.189954i
\(328\) 0.315142 + 0.433756i 0.0174008 + 0.0239501i
\(329\) −0.00997307 + 0.0137268i −0.000549833 + 0.000756781i
\(330\) 6.70438 + 11.3900i 0.369064 + 0.626998i
\(331\) 16.6796 22.9575i 0.916795 1.26186i −0.0479980 0.998847i \(-0.515284\pi\)
0.964793 0.263012i \(-0.0847159\pi\)
\(332\) −7.06340 2.29504i −0.387654 0.125957i
\(333\) −4.96020 1.74849i −0.271817 0.0958167i
\(334\) 4.59028 1.49147i 0.251169 0.0816098i
\(335\) 3.74067 6.03092i 0.204374 0.329504i
\(336\) 0.151629 + 0.155428i 0.00827203 + 0.00847929i
\(337\) 7.75296 + 23.8612i 0.422331 + 1.29980i 0.905527 + 0.424288i \(0.139476\pi\)
−0.483197 + 0.875512i \(0.660524\pi\)
\(338\) −3.27309 + 2.37804i −0.178032 + 0.129348i
\(339\) 4.48295 0.653282i 0.243480 0.0354814i
\(340\) 5.66127 9.12742i 0.307025 0.495004i
\(341\) −2.87875 + 18.7808i −0.155893 + 1.01704i
\(342\) −0.278225 + 11.2416i −0.0150447 + 0.607875i
\(343\) 1.03047 1.41832i 0.0556401 0.0765821i
\(344\) 0.245652 0.178476i 0.0132447 0.00962280i
\(345\) 21.0678 12.4009i 1.13425 0.667644i
\(346\) −22.7975 −1.22560
\(347\) 18.6946i 1.00358i 0.864990 + 0.501789i \(0.167324\pi\)
−0.864990 + 0.501789i \(0.832676\pi\)
\(348\) 0.617879 + 0.324516i 0.0331218 + 0.0173959i
\(349\) −1.37625 + 4.23566i −0.0736690 + 0.226730i −0.981110 0.193449i \(-0.938033\pi\)
0.907441 + 0.420179i \(0.138033\pi\)
\(350\) 0.0913695 + 0.620130i 0.00488390 + 0.0331473i
\(351\) 2.56740 + 21.2989i 0.137038 + 1.13685i
\(352\) 1.05453 + 3.24551i 0.0562066 + 0.172986i
\(353\) 15.5050 21.3408i 0.825247 1.13586i −0.163542 0.986536i \(-0.552292\pi\)
0.988789 0.149319i \(-0.0477081\pi\)
\(354\) −23.1208 3.95580i −1.22886 0.210249i
\(355\) −16.5086 19.5417i −0.876187 1.03717i
\(356\) −12.3668 + 8.98499i −0.655438 + 0.476203i
\(357\) −0.175892 + 1.02805i −0.00930917 + 0.0544101i
\(358\) 0.308395 0.949142i 0.0162992 0.0501637i
\(359\) 20.9049 + 28.7731i 1.10332 + 1.51859i 0.830911 + 0.556406i \(0.187820\pi\)
0.272408 + 0.962182i \(0.412180\pi\)
\(360\) −6.27212 + 2.37918i −0.330570 + 0.125394i
\(361\) −1.52962 4.70767i −0.0805061 0.247772i
\(362\) 6.15871 8.47674i 0.323695 0.445527i
\(363\) −0.495114 1.00218i −0.0259868 0.0526007i
\(364\) 0.492256 + 0.159944i 0.0258012 + 0.00838332i
\(365\) −3.38782 + 13.7832i −0.177327 + 0.721445i
\(366\) 7.12116 + 7.29958i 0.372229 + 0.381555i
\(367\) 9.19973 0.480222 0.240111 0.970745i \(-0.422816\pi\)
0.240111 + 0.970745i \(0.422816\pi\)
\(368\) 6.00314 1.95054i 0.312936 0.101679i
\(369\) 1.32426 0.912940i 0.0689382 0.0475258i
\(370\) −1.48059 3.62973i −0.0769721 0.188701i
\(371\) 0.183095 0.00950580
\(372\) −9.14938 3.04775i −0.474373 0.158018i
\(373\) 5.08205i 0.263138i 0.991307 + 0.131569i \(0.0420015\pi\)
−0.991307 + 0.131569i \(0.957998\pi\)
\(374\) −9.63469 + 13.2610i −0.498198 + 0.685710i
\(375\) −18.6931 5.05655i −0.965307 0.261119i
\(376\) −0.0418231 0.128718i −0.00215686 0.00663814i
\(377\) 1.66360 0.0856799
\(378\) 0.477396 0.443210i 0.0245546 0.0227963i
\(379\) 10.8833 + 33.4955i 0.559039 + 1.72055i 0.685030 + 0.728514i \(0.259789\pi\)
−0.125991 + 0.992031i \(0.540211\pi\)
\(380\) −6.40266 + 5.40891i −0.328449 + 0.277471i
\(381\) 14.0752 + 28.4902i 0.721096 + 1.45960i
\(382\) −14.3066 + 19.6913i −0.731989 + 1.00750i
\(383\) −24.9717 + 8.11379i −1.27599 + 0.414595i −0.867167 0.498017i \(-0.834062\pi\)
−0.408826 + 0.912612i \(0.634062\pi\)
\(384\) −1.71395 + 0.249767i −0.0874645 + 0.0127458i
\(385\) −0.0699078 0.954059i −0.00356283 0.0486233i
\(386\) 1.71927 + 0.558626i 0.0875087 + 0.0284333i
\(387\) −0.517032 0.749977i −0.0262822 0.0381235i
\(388\) −3.49311 4.80785i −0.177336 0.244082i
\(389\) 9.24156 28.4426i 0.468566 1.44210i −0.385876 0.922550i \(-0.626101\pi\)
0.854442 0.519547i \(-0.173899\pi\)
\(390\) −10.5992 + 11.9726i −0.536711 + 0.606256i
\(391\) 24.5286 + 17.8211i 1.24046 + 0.901250i
\(392\) 2.15826 + 6.64245i 0.109009 + 0.335494i
\(393\) 2.13145 + 14.6264i 0.107517 + 0.737806i
\(394\) 23.1350 + 7.51701i 1.16552 + 0.378701i
\(395\) 8.75432 + 10.3627i 0.440478 + 0.521405i
\(396\) 9.81182 2.92172i 0.493063 0.146822i
\(397\) 15.9690i 0.801459i −0.916196 0.400730i \(-0.868757\pi\)
0.916196 0.400730i \(-0.131243\pi\)
\(398\) 14.9724i 0.750496i
\(399\) 0.378451 0.720571i 0.0189462 0.0360737i
\(400\) −4.43027 2.31790i −0.221514 0.115895i
\(401\) 29.3222 + 21.3038i 1.46428 + 1.06386i 0.982222 + 0.187721i \(0.0601102\pi\)
0.482057 + 0.876140i \(0.339890\pi\)
\(402\) −3.83869 3.93487i −0.191456 0.196253i
\(403\) −22.6861 + 3.70909i −1.13008 + 0.184763i
\(404\) 3.58686i 0.178453i
\(405\) 6.66980 + 18.9872i 0.331425 + 0.943482i
\(406\) −0.0296918 0.0408673i −0.00147358 0.00202821i
\(407\) 1.84872 + 5.68976i 0.0916374 + 0.282031i
\(408\) −5.80962 5.95518i −0.287619 0.294826i
\(409\) 10.9997i 0.543899i −0.962311 0.271950i \(-0.912332\pi\)
0.962311 0.271950i \(-0.0876684\pi\)
\(410\) 1.16422 + 0.286158i 0.0574967 + 0.0141323i
\(411\) −32.9551 + 16.2811i −1.62556 + 0.803087i
\(412\) −7.70454 2.50336i −0.379575 0.123331i
\(413\) 1.37354 + 0.997936i 0.0675875 + 0.0491052i
\(414\) −5.40424 18.1487i −0.265604 0.891960i
\(415\) −15.3770 + 6.27235i −0.754827 + 0.307898i
\(416\) −3.34015 + 2.42676i −0.163764 + 0.118982i
\(417\) 30.3327 14.9855i 1.48540 0.733843i
\(418\) 10.3484 7.51856i 0.506157 0.367745i
\(419\) −1.42578 1.96242i −0.0696542 0.0958707i 0.772769 0.634688i \(-0.218871\pi\)
−0.842423 + 0.538817i \(0.818871\pi\)
\(420\) 0.483286 + 0.0466891i 0.0235820 + 0.00227819i
\(421\) −12.6635 + 9.20057i −0.617181 + 0.448408i −0.851936 0.523646i \(-0.824571\pi\)
0.234755 + 0.972055i \(0.424571\pi\)
\(422\) −15.2426 11.0744i −0.742000 0.539095i
\(423\) −0.389141 + 0.115877i −0.0189207 + 0.00563412i
\(424\) −0.858456 + 1.18156i −0.0416903 + 0.0573818i
\(425\) −3.50080 23.7601i −0.169814 1.15254i
\(426\) −17.7655 + 8.77685i −0.860743 + 0.425240i
\(427\) −0.228089 0.701985i −0.0110380 0.0339714i
\(428\) −3.27909 −0.158501
\(429\) 17.4678 17.0408i 0.843352 0.822738i
\(430\) 0.162062 0.659340i 0.00781530 0.0317962i
\(431\) −8.65001 11.9057i −0.416656 0.573478i 0.548170 0.836367i \(-0.315325\pi\)
−0.964826 + 0.262889i \(0.915325\pi\)
\(432\) 0.621851 + 5.15881i 0.0299188 + 0.248203i
\(433\) −17.3193 −0.832311 −0.416155 0.909294i \(-0.636623\pi\)
−0.416155 + 0.909294i \(0.636623\pi\)
\(434\) 0.496015 + 0.491097i 0.0238095 + 0.0235734i
\(435\) 1.52370 0.337292i 0.0730558 0.0161719i
\(436\) −1.78954 1.30018i −0.0857037 0.0622674i
\(437\) −13.9069 19.1412i −0.665257 0.915648i
\(438\) 9.73339 + 5.11207i 0.465079 + 0.244264i
\(439\) 6.96500 0.332421 0.166211 0.986090i \(-0.446847\pi\)
0.166211 + 0.986090i \(0.446847\pi\)
\(440\) 6.48459 + 4.02206i 0.309141 + 0.191744i
\(441\) 20.0814 5.97976i 0.956259 0.284751i
\(442\) −18.8607 6.12820i −0.897110 0.291489i
\(443\) 6.32402 19.4633i 0.300463 0.924730i −0.680868 0.732406i \(-0.738397\pi\)
0.981331 0.192324i \(-0.0616026\pi\)
\(444\) −3.00475 + 0.437870i −0.142599 + 0.0207804i
\(445\) −8.15862 + 33.1930i −0.386756 + 1.57350i
\(446\) 0.309665 + 0.224985i 0.0146631 + 0.0106534i
\(447\) −1.48003 0.253223i −0.0700032 0.0119770i
\(448\) 0.119229 + 0.0387399i 0.00563305 + 0.00183029i
\(449\) −22.9901 + 16.7033i −1.08497 + 0.788277i −0.978543 0.206044i \(-0.933941\pi\)
−0.106427 + 0.994321i \(0.533941\pi\)
\(450\) −7.28042 + 13.1147i −0.343202 + 0.618233i
\(451\) −1.74008 0.565388i −0.0819374 0.0266231i
\(452\) 2.11604 1.53739i 0.0995301 0.0723129i
\(453\) −0.228227 1.56614i −0.0107230 0.0735835i
\(454\) −4.86255 14.9654i −0.228211 0.702361i
\(455\) 1.07164 0.437127i 0.0502392 0.0204928i
\(456\) 2.87566 + 5.82072i 0.134665 + 0.272580i
\(457\) −11.8818 + 36.5685i −0.555808 + 1.71060i 0.137992 + 0.990433i \(0.455935\pi\)
−0.693800 + 0.720168i \(0.744065\pi\)
\(458\) 25.7624 8.37071i 1.20380 0.391137i
\(459\) −18.2913 + 16.9815i −0.853765 + 0.792628i
\(460\) 7.43950 11.9944i 0.346869 0.559242i
\(461\) 6.30414 + 19.4021i 0.293613 + 0.903648i 0.983684 + 0.179906i \(0.0575793\pi\)
−0.690071 + 0.723742i \(0.742421\pi\)
\(462\) −0.730379 0.124962i −0.0339803 0.00581378i
\(463\) −19.6551 14.2803i −0.913452 0.663661i 0.0284338 0.999596i \(-0.490948\pi\)
−0.941885 + 0.335934i \(0.890948\pi\)
\(464\) 0.402941 0.0187061
\(465\) −20.0263 + 7.99673i −0.928697 + 0.370839i
\(466\) 2.75609 0.127673
\(467\) 23.7999 + 17.2917i 1.10133 + 0.800162i 0.981276 0.192605i \(-0.0616937\pi\)
0.120053 + 0.992768i \(0.461694\pi\)
\(468\) 7.03012 + 10.1975i 0.324968 + 0.471380i
\(469\) 0.122952 + 0.378408i 0.00567740 + 0.0174732i
\(470\) −0.257182 0.159517i −0.0118629 0.00735795i
\(471\) 3.18373 + 3.26350i 0.146699 + 0.150374i
\(472\) −12.8799 + 4.18495i −0.592848 + 0.192628i
\(473\) −0.320200 + 0.985474i −0.0147228 + 0.0453121i
\(474\) 9.42084 4.65425i 0.432714 0.213777i
\(475\) −3.13146 + 18.4782i −0.143681 + 0.847840i
\(476\) 0.186081 + 0.572697i 0.00852899 + 0.0262495i
\(477\) 3.47989 + 2.66228i 0.159333 + 0.121898i
\(478\) −8.80183 + 6.39490i −0.402586 + 0.292496i
\(479\) 1.34384 + 0.436641i 0.0614017 + 0.0199506i 0.339557 0.940586i \(-0.389723\pi\)
−0.278155 + 0.960536i \(0.589723\pi\)
\(480\) −2.56723 + 2.89988i −0.117178 + 0.132361i
\(481\) −5.85567 + 4.25440i −0.266996 + 0.193984i
\(482\) 6.60124 + 2.14487i 0.300678 + 0.0976962i
\(483\) −0.231140 + 1.35096i −0.0105172 + 0.0614710i
\(484\) −0.522114 0.379338i −0.0237324 0.0172426i
\(485\) −12.9045 3.17184i −0.585962 0.144026i
\(486\) 15.5178 1.48206i 0.703904 0.0672277i
\(487\) 12.4355 38.2724i 0.563505 1.73429i −0.108849 0.994058i \(-0.534716\pi\)
0.672353 0.740230i \(-0.265284\pi\)
\(488\) 5.59953 + 1.81940i 0.253479 + 0.0823602i
\(489\) −9.98361 + 19.0088i −0.451475 + 0.859608i
\(490\) 13.2717 + 8.23177i 0.599556 + 0.371874i
\(491\) −39.4364 −1.77974 −0.889871 0.456213i \(-0.849205\pi\)
−0.889871 + 0.456213i \(0.849205\pi\)
\(492\) 0.431799 0.822146i 0.0194670 0.0370652i
\(493\) 1.13763 + 1.56582i 0.0512365 + 0.0705210i
\(494\) 12.5200 + 9.09632i 0.563302 + 0.409263i
\(495\) 12.5438 19.1493i 0.563802 0.860696i
\(496\) −5.49481 + 0.898378i −0.246724 + 0.0403383i
\(497\) 1.43422 0.0643338
\(498\) 1.85499 + 12.7293i 0.0831242 + 0.570414i
\(499\) −18.0063 24.7836i −0.806073 1.10946i −0.991917 0.126885i \(-0.959502\pi\)
0.185844 0.982579i \(-0.440498\pi\)
\(500\) −10.9123 + 2.43366i −0.488011 + 0.108837i
\(501\) −5.83766 5.98392i −0.260807 0.267342i
\(502\) −15.4183 −0.688153
\(503\) −9.16001 28.1916i −0.408425 1.25700i −0.918001 0.396577i \(-0.870198\pi\)
0.509577 0.860425i \(-0.329802\pi\)
\(504\) 0.125034 0.354703i 0.00556946 0.0157997i
\(505\) 5.17588 + 6.12682i 0.230324 + 0.272640i
\(506\) −12.6610 + 17.4264i −0.562850 + 0.774696i
\(507\) 6.20385 + 3.25832i 0.275523 + 0.144707i
\(508\) 14.8428 + 10.7839i 0.658542 + 0.478459i
\(509\) −27.3758 + 19.8897i −1.21341 + 0.881594i −0.995536 0.0943835i \(-0.969912\pi\)
−0.217874 + 0.975977i \(0.569912\pi\)
\(510\) −18.5170 1.78888i −0.819947 0.0792130i
\(511\) −0.467732 0.643778i −0.0206912 0.0284791i
\(512\) −0.809017 + 0.587785i −0.0357538 + 0.0259767i
\(513\) 17.6703 8.19228i 0.780161 0.361698i
\(514\) 10.6880 7.76532i 0.471429 0.342513i
\(515\) −16.7727 + 6.84169i −0.739095 + 0.301481i
\(516\) −0.465612 0.244544i −0.0204974 0.0107654i
\(517\) 0.373653 + 0.271475i 0.0164332 + 0.0119394i
\(518\) 0.209023 + 0.0679156i 0.00918393 + 0.00298404i
\(519\) 17.4898 + 35.4018i 0.767718 + 1.55397i
\(520\) −2.20357 + 8.96510i −0.0966328 + 0.393146i
\(521\) 21.3302i 0.934493i 0.884127 + 0.467247i \(0.154754\pi\)
−0.884127 + 0.467247i \(0.845246\pi\)
\(522\) 0.0299088 1.20845i 0.00130907 0.0528926i
\(523\) 2.35014 + 7.23297i 0.102764 + 0.316276i 0.989199 0.146577i \(-0.0468257\pi\)
−0.886435 + 0.462853i \(0.846826\pi\)
\(524\) 5.01602 + 6.90396i 0.219126 + 0.301601i
\(525\) 0.892890 0.617638i 0.0389689 0.0269559i
\(526\) 26.3280i 1.14795i
\(527\) −19.0047 18.8163i −0.827858 0.819650i
\(528\) 4.23087 4.12745i 0.184125 0.179624i
\(529\) 13.6257 + 9.89968i 0.592424 + 0.430421i
\(530\) 0.238656 + 3.25703i 0.0103665 + 0.141476i
\(531\) 11.5950 + 38.9387i 0.503179 + 1.68979i
\(532\) 0.469911i 0.0203732i
\(533\) 2.21358i 0.0958809i
\(534\) 23.4402 + 12.3110i 1.01435 + 0.532749i
\(535\) −5.60111 + 4.73177i −0.242157 + 0.204572i
\(536\) −3.01845 0.980753i −0.130377 0.0423621i
\(537\) −1.71050 + 0.249264i −0.0738134 + 0.0107565i
\(538\) 2.22970 + 6.86230i 0.0961291 + 0.295855i
\(539\) −19.2822 14.0093i −0.830542 0.603424i
\(540\) 8.50643 + 7.91458i 0.366059 + 0.340589i
\(541\) 4.86319 14.9674i 0.209085 0.643497i −0.790436 0.612545i \(-0.790146\pi\)
0.999521 0.0309526i \(-0.00985408\pi\)
\(542\) −5.19791 7.15432i −0.223270 0.307304i
\(543\) −17.8882 3.06054i −0.767656 0.131340i
\(544\) −4.56824 1.48431i −0.195862 0.0636393i
\(545\) −4.93296 + 0.361458i −0.211305 + 0.0154832i
\(546\) −0.129276 0.887119i −0.00553251 0.0379652i
\(547\) −16.3183 + 5.30215i −0.697721 + 0.226703i −0.636337 0.771411i \(-0.719551\pi\)
−0.0613840 + 0.998114i \(0.519551\pi\)
\(548\) −12.4740 + 17.1689i −0.532861 + 0.733420i
\(549\) 5.87215 16.6584i 0.250617 0.710963i
\(550\) 16.8804 2.48715i 0.719783 0.106052i
\(551\) −0.466727 1.43644i −0.0198832 0.0611943i
\(552\) −7.63445 7.82574i −0.324944 0.333086i
\(553\) −0.760551 −0.0323419
\(554\) −9.85855 30.3415i −0.418850 1.28909i
\(555\) −4.50066 + 5.08384i −0.191042 + 0.215797i
\(556\) 11.4813 15.8027i 0.486916 0.670183i
\(557\) 3.48412i 0.147627i −0.997272 0.0738135i \(-0.976483\pi\)
0.997272 0.0738135i \(-0.0235169\pi\)
\(558\) 2.28645 + 16.5461i 0.0967931 + 0.700451i
\(559\) −1.25363 −0.0530230
\(560\) 0.259561 0.105876i 0.0109685 0.00447410i
\(561\) 27.9843 + 4.78791i 1.18150 + 0.202146i
\(562\) −22.6322 + 7.35364i −0.954680 + 0.310194i
\(563\) 41.9314 1.76720 0.883598 0.468246i \(-0.155114\pi\)
0.883598 + 0.468246i \(0.155114\pi\)
\(564\) −0.167798 + 0.163697i −0.00706557 + 0.00689287i
\(565\) 1.39600 5.67954i 0.0587300 0.238940i
\(566\) −24.3953 7.92650i −1.02541 0.333176i
\(567\) −1.05450 0.401316i −0.0442849 0.0168537i
\(568\) −6.72449 + 9.25547i −0.282153 + 0.388351i
\(569\) 8.82636 + 27.1647i 0.370020 + 1.13880i 0.946777 + 0.321889i \(0.104318\pi\)
−0.576757 + 0.816916i \(0.695682\pi\)
\(570\) 13.3114 + 5.79294i 0.557552 + 0.242640i
\(571\) −21.3975 29.4512i −0.895459 1.23249i −0.971894 0.235419i \(-0.924354\pi\)
0.0764352 0.997075i \(-0.475646\pi\)
\(572\) 4.35379 13.3996i 0.182041 0.560264i
\(573\) 41.5540 + 7.10959i 1.73594 + 0.297007i
\(574\) −0.0543777 + 0.0395077i −0.00226968 + 0.00164902i
\(575\) −4.60042 31.2233i −0.191851 1.30210i
\(576\) 1.70277 + 2.46994i 0.0709486 + 0.102914i
\(577\) 3.14872 4.33384i 0.131083 0.180420i −0.738430 0.674330i \(-0.764433\pi\)
0.869513 + 0.493910i \(0.164433\pi\)
\(578\) −1.87634 5.77478i −0.0780455 0.240199i
\(579\) −0.451516 3.09839i −0.0187644 0.128765i
\(580\) 0.688277 0.581449i 0.0285791 0.0241434i
\(581\) 0.287717 0.885503i 0.0119365 0.0367369i
\(582\) −4.78616 + 9.11286i −0.198393 + 0.377740i
\(583\) 4.98398i 0.206415i
\(584\) 6.34749 0.262661
\(585\) 26.7235 + 7.27412i 1.10488 + 0.300748i
\(586\) −11.8875 + 8.63680i −0.491069 + 0.356783i
\(587\) −16.2096 + 22.3105i −0.669040 + 0.920855i −0.999738 0.0228819i \(-0.992716\pi\)
0.330698 + 0.943737i \(0.392716\pi\)
\(588\) 8.65914 8.44748i 0.357097 0.348368i
\(589\) 9.56725 + 18.5478i 0.394212 + 0.764247i
\(590\) −15.9617 + 25.7344i −0.657133 + 1.05947i
\(591\) −6.07571 41.6927i −0.249921 1.71501i
\(592\) −1.41830 + 1.03046i −0.0582919 + 0.0423515i
\(593\) −12.3737 38.0823i −0.508126 1.56385i −0.795451 0.606018i \(-0.792766\pi\)
0.287325 0.957833i \(-0.407234\pi\)
\(594\) −12.0645 12.9951i −0.495013 0.533195i
\(595\) 1.14426 + 0.709725i 0.0469101 + 0.0290959i
\(596\) −0.824485 + 0.267891i −0.0337722 + 0.0109733i
\(597\) −23.2502 + 11.4865i −0.951569 + 0.470111i
\(598\) −24.7849 8.05310i −1.01353 0.329316i
\(599\) 10.7718 14.8262i 0.440125 0.605780i −0.530115 0.847926i \(-0.677851\pi\)
0.970240 + 0.242146i \(0.0778512\pi\)
\(600\) −0.200599 + 8.65793i −0.00818940 + 0.353459i
\(601\) 24.7431 34.0560i 1.00929 1.38917i 0.0898484 0.995955i \(-0.471362\pi\)
0.919445 0.393218i \(-0.128638\pi\)
\(602\) 0.0223747 + 0.0307961i 0.000911924 + 0.00125516i
\(603\) −3.16541 + 8.97978i −0.128905 + 0.365685i
\(604\) −0.537094 0.739247i −0.0218541 0.0300795i
\(605\) −1.43923 + 0.105458i −0.0585130 + 0.00428748i
\(606\) 5.56995 2.75177i 0.226264 0.111783i
\(607\) 13.7060 + 18.8647i 0.556310 + 0.765694i 0.990851 0.134957i \(-0.0430897\pi\)
−0.434542 + 0.900652i \(0.643090\pi\)
\(608\) 3.03247 + 2.20322i 0.122983 + 0.0893524i
\(609\) −0.0406829 + 0.0774604i −0.00164856 + 0.00313885i
\(610\) 12.1901 4.97242i 0.493564 0.201328i
\(611\) −0.172673 + 0.531433i −0.00698560 + 0.0214995i
\(612\) −4.79065 + 13.5903i −0.193651 + 0.549357i
\(613\) −14.9746 46.0871i −0.604818 1.86144i −0.498034 0.867158i \(-0.665944\pi\)
−0.106785 0.994282i \(-0.534056\pi\)
\(614\) 25.6359i 1.03458i
\(615\) −0.448798 2.02743i −0.0180973 0.0817537i
\(616\) −0.406873 + 0.132201i −0.0163934 + 0.00532654i
\(617\) −27.4232 + 19.9241i −1.10402 + 0.802115i −0.981711 0.190377i \(-0.939029\pi\)
−0.122306 + 0.992492i \(0.539029\pi\)
\(618\) 2.02337 + 13.8847i 0.0813918 + 0.558526i
\(619\) 7.98010i 0.320747i 0.987056 + 0.160374i \(0.0512699\pi\)
−0.987056 + 0.160374i \(0.948730\pi\)
\(620\) −8.08948 + 9.46363i −0.324881 + 0.380068i
\(621\) −24.0367 + 22.3155i −0.964560 + 0.895489i
\(622\) 7.27023 10.0066i 0.291510 0.401229i
\(623\) −1.12640 1.55036i −0.0451284 0.0621139i
\(624\) 6.33096 + 3.32508i 0.253441 + 0.133110i
\(625\) −15.1278 + 19.9035i −0.605110 + 0.796142i
\(626\) 7.89898 0.315707
\(627\) −19.6145 10.3017i −0.783328 0.411411i
\(628\) 2.50344 + 0.813418i 0.0998982 + 0.0324589i
\(629\) −8.00866 2.60217i −0.319326 0.103755i
\(630\) −0.298266 0.786304i −0.0118832 0.0313271i
\(631\) −13.7870 + 4.47966i −0.548851 + 0.178333i −0.570299 0.821437i \(-0.693173\pi\)
0.0214475 + 0.999770i \(0.493173\pi\)
\(632\) 3.56591 4.90806i 0.141844 0.195232i
\(633\) −5.50338 + 32.1661i −0.218740 + 1.27849i
\(634\) −2.11650 + 6.51393i −0.0840571 + 0.258701i
\(635\) 40.9148 2.99799i 1.62365 0.118972i
\(636\) 2.49342 + 0.426605i 0.0988704 + 0.0169160i
\(637\) 8.91071 27.4244i 0.353055 1.08659i
\(638\) −1.11244 + 0.808234i −0.0440419 + 0.0319983i
\(639\) 27.2588 + 20.8543i 1.07834 + 0.824983i
\(640\) −0.533725 + 2.17144i −0.0210974 + 0.0858336i
\(641\) −6.84323 4.97190i −0.270291 0.196378i 0.444380 0.895838i \(-0.353424\pi\)
−0.714672 + 0.699460i \(0.753424\pi\)
\(642\) 2.51565 + 5.09203i 0.0992850 + 0.200966i
\(643\) −12.5781 + 38.7115i −0.496033 + 1.52663i 0.319308 + 0.947651i \(0.396549\pi\)
−0.815341 + 0.578981i \(0.803451\pi\)
\(644\) 0.244529 + 0.752584i 0.00963581 + 0.0296560i
\(645\) −1.14821 + 0.254171i −0.0452106 + 0.0100080i
\(646\) 18.0045i 0.708378i
\(647\) 6.42846 2.08873i 0.252729 0.0821166i −0.179913 0.983683i \(-0.557582\pi\)
0.432642 + 0.901566i \(0.357582\pi\)
\(648\) 7.53393 4.92340i 0.295961 0.193409i
\(649\) 27.1646 37.3888i 1.06630 1.46764i
\(650\) 9.17278 + 18.4934i 0.359786 + 0.725369i
\(651\) 0.382081 1.14701i 0.0149749 0.0449550i
\(652\) 12.3963i 0.485478i
\(653\) 2.17163 + 1.57778i 0.0849825 + 0.0617434i 0.629465 0.777029i \(-0.283274\pi\)
−0.544483 + 0.838772i \(0.683274\pi\)
\(654\) −0.646118 + 3.77642i −0.0252652 + 0.147670i
\(655\) 18.5305 + 4.55469i 0.724048 + 0.177966i
\(656\) 0.536151i 0.0209332i
\(657\) 0.471150 19.0367i 0.0183813 0.742690i
\(658\) 0.0161368 0.00524315i 0.000629077 0.000204399i
\(659\) −28.2838 9.18996i −1.10178 0.357990i −0.298993 0.954255i \(-0.596651\pi\)
−0.802787 + 0.596265i \(0.796651\pi\)
\(660\) 1.27091 13.1554i 0.0494702 0.512074i
\(661\) −9.25199 6.72197i −0.359861 0.261454i 0.393133 0.919482i \(-0.371391\pi\)
−0.752994 + 0.658027i \(0.771391\pi\)
\(662\) −26.9882 + 8.76899i −1.04893 + 0.340817i
\(663\) 4.95319 + 33.9898i 0.192366 + 1.32005i
\(664\) 4.36542 + 6.00849i 0.169411 + 0.233175i
\(665\) −0.678087 0.802669i −0.0262951 0.0311262i
\(666\) 2.98515 + 4.33009i 0.115672 + 0.167788i
\(667\) 1.49497 + 2.05765i 0.0578855 + 0.0796726i
\(668\) −4.59028 1.49147i −0.177603 0.0577068i
\(669\) 0.111805 0.653477i 0.00432264 0.0252649i
\(670\) −6.57115 + 2.68041i −0.253866 + 0.103553i
\(671\) −19.1086 + 6.20875i −0.737678 + 0.239686i
\(672\) −0.0313120 0.214869i −0.00120789 0.00828875i
\(673\) 4.98122 15.3306i 0.192012 0.590952i −0.807986 0.589201i \(-0.799443\pi\)
0.999998 0.00175116i \(-0.000557412\pi\)
\(674\) 7.75296 23.8612i 0.298633 0.919097i
\(675\) 25.9510 + 1.24426i 0.998853 + 0.0478915i
\(676\) 4.04576 0.155606
\(677\) 0.367300i 0.0141165i −0.999975 0.00705825i \(-0.997753\pi\)
0.999975 0.00705825i \(-0.00224673\pi\)
\(678\) −4.01077 2.10649i −0.154033 0.0808994i
\(679\) 0.602736 0.437913i 0.0231309 0.0168056i
\(680\) −9.94503 + 4.05663i −0.381374 + 0.155565i
\(681\) −19.5090 + 19.0321i −0.747586 + 0.729313i
\(682\) 13.3680 13.5019i 0.511889 0.517015i
\(683\) −5.96428 −0.228217 −0.114108 0.993468i \(-0.536401\pi\)
−0.114108 + 0.993468i \(0.536401\pi\)
\(684\) 6.83272 8.93109i 0.261256 0.341489i
\(685\) 3.46783 + 47.3269i 0.132499 + 1.80827i
\(686\) −1.66733 + 0.541750i −0.0636591 + 0.0206841i
\(687\) −32.7631 33.5840i −1.24999 1.28131i
\(688\) −0.303642 −0.0115763
\(689\) 5.73474 1.86333i 0.218476 0.0709872i
\(690\) −24.3333 2.35078i −0.926353 0.0894925i
\(691\) 1.75079 5.38838i 0.0666032 0.204984i −0.912216 0.409709i \(-0.865630\pi\)
0.978819 + 0.204726i \(0.0656302\pi\)
\(692\) 18.4436 + 13.4000i 0.701120 + 0.509393i
\(693\) 0.366281 + 1.23006i 0.0139139 + 0.0467261i
\(694\) 10.9884 15.1242i 0.417114 0.574108i
\(695\) −3.19187 43.5608i −0.121075 1.65235i
\(696\) −0.309129 0.625719i −0.0117175 0.0237178i
\(697\) 2.08347 1.51373i 0.0789171 0.0573366i
\(698\) 3.60307 2.61778i 0.136378 0.0990846i
\(699\) −2.11442 4.27988i −0.0799748 0.161880i
\(700\) 0.290584 0.555401i 0.0109830 0.0209922i
\(701\) 26.9295 37.0653i 1.01711 1.39994i 0.102904 0.994691i \(-0.467187\pi\)
0.914209 0.405244i \(-0.132813\pi\)
\(702\) 10.4421 18.7403i 0.394112 0.707306i
\(703\) 5.31628 + 3.86250i 0.200507 + 0.145677i
\(704\) 1.05453 3.24551i 0.0397441 0.122320i
\(705\) −0.0504049 + 0.521750i −0.00189836 + 0.0196502i
\(706\) −25.0876 + 8.15145i −0.944184 + 0.306784i
\(707\) −0.449666 −0.0169114
\(708\) 16.3800 + 16.7904i 0.615597 + 0.631021i
\(709\) 4.65849 1.51363i 0.174953 0.0568457i −0.220230 0.975448i \(-0.570681\pi\)
0.395184 + 0.918602i \(0.370681\pi\)
\(710\) 1.86945 + 25.5131i 0.0701592 + 0.957489i
\(711\) −14.4550 11.0588i −0.542104 0.414736i
\(712\) 15.2862 0.572873
\(713\) −24.9742 24.7266i −0.935291 0.926017i
\(714\) 0.746572 0.728323i 0.0279397 0.0272568i
\(715\) −11.8989 29.1708i −0.444995 1.09093i
\(716\) −0.807389 + 0.586602i −0.0301735 + 0.0219224i
\(717\) 16.6831 + 8.76212i 0.623042 + 0.327228i
\(718\) 35.5655i 1.32729i
\(719\) 21.9877 0.820002 0.410001 0.912085i \(-0.365528\pi\)
0.410001 + 0.912085i \(0.365528\pi\)
\(720\) 6.47270 + 1.76186i 0.241223 + 0.0656608i
\(721\) 0.313833 0.965879i 0.0116878 0.0359712i
\(722\) −1.52962 + 4.70767i −0.0569264 + 0.175201i
\(723\) −1.73362 11.8964i −0.0644739 0.442433i
\(724\) −9.96500 + 3.23782i −0.370346 + 0.120333i
\(725\) 0.336628 1.98638i 0.0125020 0.0737725i
\(726\) −0.188510 + 1.10180i −0.00699626 + 0.0408917i
\(727\) −35.7359 11.6113i −1.32537 0.430639i −0.441035 0.897490i \(-0.645389\pi\)
−0.884336 + 0.466850i \(0.845389\pi\)
\(728\) −0.304231 0.418738i −0.0112755 0.0155194i
\(729\) −14.2065 22.9603i −0.526165 0.850382i
\(730\) 10.8424 9.15952i 0.401293 0.339009i
\(731\) −0.857281 1.17995i −0.0317077 0.0436419i
\(732\) −1.47055 10.0912i −0.0543531 0.372981i
\(733\) 24.7234 8.03313i 0.913181 0.296710i 0.185514 0.982642i \(-0.440605\pi\)
0.727667 + 0.685931i \(0.240605\pi\)
\(734\) −7.44273 5.40746i −0.274716 0.199593i
\(735\) 2.60112 26.9247i 0.0959439 0.993131i
\(736\) −6.00314 1.95054i −0.221279 0.0718979i
\(737\) 10.3005 3.34685i 0.379426 0.123283i
\(738\) −1.60796 0.0397965i −0.0591899 0.00146493i
\(739\) 16.5012i 0.607005i −0.952831 0.303503i \(-0.901844\pi\)
0.952831 0.303503i \(-0.0981562\pi\)
\(740\) −0.935684 + 3.80678i −0.0343964 + 0.139940i
\(741\) 4.52037 26.4206i 0.166060 0.970585i
\(742\) −0.148127 0.107620i −0.00543790 0.00395087i
\(743\) 15.2659i 0.560053i −0.959992 0.280027i \(-0.909657\pi\)
0.959992 0.280027i \(-0.0903433\pi\)
\(744\) 5.61058 + 7.84355i 0.205694 + 0.287559i
\(745\) −1.02176 + 1.64734i −0.0374343 + 0.0603538i
\(746\) 2.98715 4.11146i 0.109367 0.150531i
\(747\) 18.3440 12.6463i 0.671171 0.462703i
\(748\) 15.5893 5.06525i 0.569999 0.185204i
\(749\) 0.411083i 0.0150206i
\(750\) 12.1509 + 15.0783i 0.443687 + 0.550583i
\(751\) −7.94715 24.4588i −0.289996 0.892515i −0.984857 0.173371i \(-0.944534\pi\)
0.694861 0.719144i \(-0.255466\pi\)
\(752\) −0.0418231 + 0.128718i −0.00152513 + 0.00469387i
\(753\) 11.8286 + 23.9428i 0.431060 + 0.872524i
\(754\) −1.34588 0.977842i −0.0490142 0.0356109i
\(755\) −1.98417 0.487697i −0.0722114 0.0177491i
\(756\) −0.646734 + 0.0779583i −0.0235215 + 0.00283532i
\(757\) 35.1542 25.5411i 1.27770 0.928306i 0.278222 0.960517i \(-0.410255\pi\)
0.999481 + 0.0322113i \(0.0102550\pi\)
\(758\) 10.8833 33.4955i 0.395300 1.21661i
\(759\) 36.7743 + 6.29181i 1.33482 + 0.228378i
\(760\) 8.35914 0.612508i 0.303218 0.0222180i
\(761\) −0.0166934 + 0.0513772i −0.000605137 + 0.00186242i −0.951359 0.308086i \(-0.900312\pi\)
0.950753 + 0.309948i \(0.100312\pi\)
\(762\) 5.35901 31.3223i 0.194136 1.13469i
\(763\) 0.162997 0.224346i 0.00590089 0.00812188i
\(764\) 23.1486 7.52142i 0.837485 0.272115i
\(765\) 11.4280 + 30.1271i 0.413180 + 1.08925i
\(766\) 24.9717 + 8.11379i 0.902264 + 0.293163i
\(767\) 53.1768 + 17.2782i 1.92010 + 0.623879i
\(768\) 1.53342 + 0.805368i 0.0553326 + 0.0290612i
\(769\) −23.6226 −0.851853 −0.425926 0.904758i \(-0.640052\pi\)
−0.425926 + 0.904758i \(0.640052\pi\)
\(770\) −0.504225 + 0.812940i −0.0181710 + 0.0292963i
\(771\) −20.2583 10.6398i −0.729583 0.383184i
\(772\) −1.06257 1.46250i −0.0382427 0.0526366i
\(773\) −4.50190 + 6.19633i −0.161922 + 0.222866i −0.882267 0.470750i \(-0.843984\pi\)
0.720345 + 0.693616i \(0.243984\pi\)
\(774\) −0.0225382 + 0.910648i −0.000810119 + 0.0327326i
\(775\) −0.161762 + 27.8384i −0.00581066 + 0.999983i
\(776\) 5.94283i 0.213335i
\(777\) −0.0548936 0.376691i −0.00196930 0.0135137i
\(778\) −24.1947 + 17.5785i −0.867423 + 0.630220i
\(779\) −1.91132 + 0.621025i −0.0684801 + 0.0222505i
\(780\) 15.6123 3.45599i 0.559008 0.123744i
\(781\) 39.0407i 1.39699i
\(782\) −9.36908 28.8351i −0.335038 1.03114i
\(783\) −1.89953 + 0.880658i −0.0678836 + 0.0314722i
\(784\) 2.15826 6.64245i 0.0770808 0.237230i
\(785\) 5.44998 2.22308i 0.194518 0.0793450i
\(786\) 6.87282 13.0859i 0.245145 0.466757i
\(787\) −2.00845 1.45922i −0.0715934 0.0520157i 0.551413 0.834232i \(-0.314089\pi\)
−0.623006 + 0.782217i \(0.714089\pi\)
\(788\) −14.2982 19.6798i −0.509352 0.701063i
\(789\) −40.8841 + 20.1983i −1.45551 + 0.719079i
\(790\) −0.991345 13.5293i −0.0352705 0.481350i
\(791\) 0.192735 + 0.265277i 0.00685287 + 0.00943217i
\(792\) −9.65528 3.40352i −0.343085 0.120939i
\(793\) −14.2880 19.6658i −0.507382 0.698352i
\(794\) −9.38632 + 12.9192i −0.333108 + 0.458484i
\(795\) 4.87468 2.86934i 0.172887 0.101765i
\(796\) −8.80053 + 12.1129i −0.311926 + 0.429330i
\(797\) 20.5649 + 6.68195i 0.728447 + 0.236687i 0.649681 0.760207i \(-0.274902\pi\)
0.0787651 + 0.996893i \(0.474902\pi\)
\(798\) −0.729714 + 0.360507i −0.0258316 + 0.0127618i
\(799\) −0.618276 + 0.200890i −0.0218730 + 0.00710698i
\(800\) 2.22174 + 4.47927i 0.0785503 + 0.158366i
\(801\) 1.13463 45.8445i 0.0400903 1.61983i
\(802\) −11.2001 34.4703i −0.395488 1.21719i
\(803\) −17.5241 + 12.7320i −0.618413 + 0.449303i
\(804\) 0.792705 + 5.43970i 0.0279566 + 0.191843i
\(805\) 1.50368 + 0.932653i 0.0529976 + 0.0328717i
\(806\) 20.5336 + 10.3339i 0.723266 + 0.363995i
\(807\) 8.94575 8.72708i 0.314905 0.307208i
\(808\) 2.10830 2.90183i 0.0741698 0.102086i
\(809\) −17.4111 + 12.6499i −0.612142 + 0.444747i −0.850168 0.526512i \(-0.823500\pi\)
0.238026 + 0.971259i \(0.423500\pi\)
\(810\) 5.76442 19.2814i 0.202541 0.677479i
\(811\) 0.959122 0.0336793 0.0168397 0.999858i \(-0.494640\pi\)
0.0168397 + 0.999858i \(0.494640\pi\)
\(812\) 0.0505147i 0.00177272i
\(813\) −7.12204 + 13.5604i −0.249781 + 0.475584i
\(814\) 1.84872 5.68976i 0.0647974 0.199426i
\(815\) 17.8881 + 21.1746i 0.626592 + 0.741713i
\(816\) 1.19971 + 8.23265i 0.0419983 + 0.288201i
\(817\) 0.351709 + 1.08245i 0.0123047 + 0.0378701i
\(818\) −6.46545 + 8.89893i −0.226059 + 0.311144i
\(819\) −1.27841 + 0.881331i −0.0446713 + 0.0307962i
\(820\) −0.773673 0.915817i −0.0270178 0.0319817i
\(821\) −21.2137 + 15.4126i −0.740362 + 0.537904i −0.892824 0.450405i \(-0.851280\pi\)
0.152463 + 0.988309i \(0.451280\pi\)
\(822\) 36.2310 + 6.19887i 1.26370 + 0.216210i
\(823\) −4.15819 + 12.7976i −0.144945 + 0.446096i −0.997004 0.0773505i \(-0.975354\pi\)
0.852059 + 0.523446i \(0.175354\pi\)
\(824\) 4.76167 + 6.55387i 0.165880 + 0.228315i
\(825\) −16.8126 24.3051i −0.585339 0.846197i
\(826\) −0.524646 1.61469i −0.0182548 0.0561824i
\(827\) −10.6726 + 14.6896i −0.371123 + 0.510808i −0.953206 0.302322i \(-0.902238\pi\)
0.582082 + 0.813130i \(0.302238\pi\)
\(828\) −6.29542 + 17.8591i −0.218781 + 0.620648i
\(829\) 28.2284 + 9.17197i 0.980413 + 0.318556i 0.755012 0.655710i \(-0.227631\pi\)
0.225401 + 0.974266i \(0.427631\pi\)
\(830\) 16.1270 + 3.96393i 0.559778 + 0.137590i
\(831\) −39.5534 + 38.5865i −1.37209 + 1.33855i
\(832\) 4.12865 0.143135
\(833\) 31.9059 10.3668i 1.10547 0.359190i
\(834\) −33.3479 5.70558i −1.15474 0.197568i
\(835\) −9.99302 + 4.07621i −0.345823 + 0.141063i
\(836\) −12.7913 −0.442397
\(837\) 23.9399 16.2444i 0.827484 0.561489i
\(838\) 2.42569i 0.0837941i
\(839\) 15.2358 20.9703i 0.526000 0.723976i −0.460515 0.887652i \(-0.652335\pi\)
0.986514 + 0.163676i \(0.0523351\pi\)
\(840\) −0.363544 0.321841i −0.0125435 0.0111046i
\(841\) −8.91132 27.4262i −0.307287 0.945732i
\(842\) 15.6529 0.539436
\(843\) 28.7823 + 29.5034i 0.991315 + 1.01615i
\(844\) 5.82217 + 17.9188i 0.200407 + 0.616790i
\(845\) 6.91069 5.83808i 0.237735 0.200836i
\(846\) 0.382932 + 0.134985i 0.0131655 + 0.00464089i
\(847\) 0.0475557 0.0654548i 0.00163403 0.00224905i
\(848\) 1.38901 0.451317i 0.0476988 0.0154983i
\(849\) 6.40669 + 43.9640i 0.219877 + 1.50884i
\(850\) −11.1336 + 21.2801i −0.381881 + 0.729900i
\(851\) −10.5242 3.41953i −0.360766 0.117220i
\(852\) 19.5315 + 3.34170i 0.669139 + 0.114485i
\(853\) 18.6237 + 25.6333i 0.637664 + 0.877669i 0.998488 0.0549647i \(-0.0175046\pi\)
−0.360824 + 0.932634i \(0.617505\pi\)
\(854\) −0.228089 + 0.701985i −0.00780503 + 0.0240214i
\(855\) −1.21649 25.1152i −0.0416032 0.858921i
\(856\) 2.65284 + 1.92740i 0.0906721 + 0.0658772i
\(857\) 11.5370 + 35.5073i 0.394097 + 1.21291i 0.929662 + 0.368413i \(0.120099\pi\)
−0.535565 + 0.844494i \(0.679901\pi\)
\(858\) −24.1481 + 3.51900i −0.824401 + 0.120137i
\(859\) −40.9510 13.3058i −1.39723 0.453988i −0.488936 0.872320i \(-0.662615\pi\)
−0.908294 + 0.418332i \(0.862615\pi\)
\(860\) −0.518661 + 0.438160i −0.0176862 + 0.0149411i
\(861\) 0.103068 + 0.0541325i 0.00351256 + 0.00184483i
\(862\) 14.7163i 0.501238i
\(863\) 13.9110i 0.473534i 0.971566 + 0.236767i \(0.0760879\pi\)
−0.971566 + 0.236767i \(0.923912\pi\)
\(864\) 2.52918 4.53908i 0.0860446 0.154423i
\(865\) 50.8405 3.72529i 1.72863 0.126664i
\(866\) 14.0116 + 10.1800i 0.476133 + 0.345931i
\(867\) −7.52805 + 7.34404i −0.255666 + 0.249417i
\(868\) −0.112625 0.688856i −0.00382274 0.0233813i
\(869\) 20.7028i 0.702294i
\(870\) −1.43095 0.622733i −0.0485139 0.0211126i
\(871\) 7.70201 + 10.6009i 0.260973 + 0.359198i
\(872\) 0.683545 + 2.10374i 0.0231478 + 0.0712415i
\(873\) 17.8230 + 0.441114i 0.603218 + 0.0149294i
\(874\) 23.6598i 0.800306i
\(875\) −0.305096 1.36801i −0.0103141 0.0462473i
\(876\) −4.86968 9.85689i −0.164531 0.333033i
\(877\) 19.7985 + 6.43293i 0.668549 + 0.217225i 0.623575 0.781763i \(-0.285680\pi\)
0.0449739 + 0.998988i \(0.485680\pi\)
\(878\) −5.63480 4.09392i −0.190165 0.138163i
\(879\) 22.5318 + 11.8339i 0.759978 + 0.399148i
\(880\) −2.88204 7.06546i −0.0971535 0.238177i
\(881\) −20.0324 + 14.5544i −0.674910 + 0.490351i −0.871665 0.490102i \(-0.836960\pi\)
0.196755 + 0.980453i \(0.436960\pi\)
\(882\) −19.7610 6.96585i −0.665389 0.234552i
\(883\) −19.6991 + 14.3122i −0.662926 + 0.481644i −0.867650 0.497176i \(-0.834370\pi\)
0.204724 + 0.978820i \(0.434370\pi\)
\(884\) 11.6565 + 16.0438i 0.392051 + 0.539612i
\(885\) 52.2079 + 5.04367i 1.75495 + 0.169541i
\(886\) −16.5565 + 12.0290i −0.556226 + 0.404122i
\(887\) 12.5618 + 9.12669i 0.421784 + 0.306444i 0.778355 0.627824i \(-0.216054\pi\)
−0.356571 + 0.934268i \(0.616054\pi\)
\(888\) 2.68827 + 1.41190i 0.0902124 + 0.0473804i
\(889\) −1.35193 + 1.86077i −0.0453421 + 0.0624081i
\(890\) 26.1108 22.0581i 0.875236 0.739391i
\(891\) −10.9241 + 28.7043i −0.365972 + 0.961631i
\(892\) −0.118282 0.364033i −0.00396036 0.0121887i
\(893\) 0.507310 0.0169765
\(894\) 1.04853 + 1.07480i 0.0350682 + 0.0359468i
\(895\) −0.532651 + 2.16707i −0.0178046 + 0.0724370i
\(896\) −0.0736877 0.101422i −0.00246173 0.00338828i
\(897\) 6.50901 + 44.6661i 0.217330 + 1.49136i
\(898\) 28.4173 0.948298
\(899\) −1.02847 1.99386i −0.0343013 0.0664989i
\(900\) 13.5986 6.33070i 0.453287 0.211023i
\(901\) 5.67544 + 4.12345i 0.189076 + 0.137372i
\(902\) 1.07543 + 1.48020i 0.0358079 + 0.0492854i
\(903\) 0.0306572 0.0583714i 0.00102021 0.00194248i
\(904\) −2.61557 −0.0869925
\(905\) −12.3493 + 19.9103i −0.410505 + 0.661839i
\(906\) −0.735912 + 1.40118i −0.0244490 + 0.0465510i
\(907\) −47.2371 15.3483i −1.56848 0.509631i −0.609426 0.792843i \(-0.708600\pi\)
−0.959057 + 0.283212i \(0.908600\pi\)
\(908\) −4.86255 + 14.9654i −0.161369 + 0.496644i
\(909\) −8.54632 6.53836i −0.283464 0.216864i
\(910\) −1.12391 0.276250i −0.0372573 0.00915760i
\(911\) −39.9347 29.0142i −1.32309 0.961284i −0.999888 0.0149555i \(-0.995239\pi\)
−0.323206 0.946329i \(-0.604761\pi\)
\(912\) 1.09488 6.39933i 0.0362550 0.211903i
\(913\) −24.1041 7.83189i −0.797728 0.259198i
\(914\) 31.1070 22.6006i 1.02893 0.747560i
\(915\) −17.0736 15.1151i −0.564436 0.499689i
\(916\) −25.7624 8.37071i −0.851213 0.276576i
\(917\) −0.865515 + 0.628833i −0.0285818 + 0.0207659i
\(918\) 24.7795 2.98695i 0.817844 0.0985841i
\(919\) −11.7227 36.0788i −0.386696 1.19013i −0.935242 0.354008i \(-0.884818\pi\)
0.548546 0.836120i \(-0.315182\pi\)
\(920\) −13.0688 + 5.33084i −0.430866 + 0.175753i
\(921\) −39.8095 + 19.6674i −1.31177 + 0.648063i
\(922\) 6.30414 19.4021i 0.207616 0.638975i
\(923\) 44.9216 14.5959i 1.47861 0.480430i
\(924\) 0.517438 + 0.530403i 0.0170225 + 0.0174490i
\(925\) 3.89497 + 7.85269i 0.128066 + 0.258195i
\(926\) 7.50759 + 23.1060i 0.246715 + 0.759310i
\(927\) 20.0090 13.7942i 0.657183 0.453060i
\(928\) −0.325986 0.236843i −0.0107010 0.00777475i
\(929\) 28.3219 0.929212 0.464606 0.885517i \(-0.346196\pi\)
0.464606 + 0.885517i \(0.346196\pi\)
\(930\) 20.9020 + 5.30167i 0.685403 + 0.173849i
\(931\) −26.1795 −0.857998
\(932\) −2.22973 1.61999i −0.0730371 0.0530645i
\(933\) −21.1166 3.61290i −0.691328 0.118281i
\(934\) −9.09076 27.9785i −0.297459 0.915484i
\(935\) 19.3193 31.1476i 0.631807 1.01864i
\(936\) 0.306454 12.3822i 0.0100168 0.404724i
\(937\) −17.1875 + 5.58454i −0.561490 + 0.182439i −0.575991 0.817456i \(-0.695384\pi\)
0.0145016 + 0.999895i \(0.495384\pi\)
\(938\) 0.122952 0.378408i 0.00401453 0.0123554i
\(939\) −6.05995 12.2662i −0.197759 0.400291i
\(940\) 0.114303 + 0.280219i 0.00372815 + 0.00913974i
\(941\) 11.9287 + 36.7128i 0.388865 + 1.19680i 0.933638 + 0.358219i \(0.116616\pi\)
−0.544773 + 0.838584i \(0.683384\pi\)
\(942\) −0.657455 4.51158i −0.0214210 0.146995i
\(943\) 2.73790 1.98920i 0.0891583 0.0647773i
\(944\) 12.8799 + 4.18495i 0.419207 + 0.136209i
\(945\) −0.992212 + 1.06641i −0.0322766 + 0.0346903i
\(946\) 0.838294 0.609056i 0.0272553 0.0198021i
\(947\) 26.8873 + 8.73623i 0.873721 + 0.283889i 0.711348 0.702840i \(-0.248085\pi\)
0.162373 + 0.986729i \(0.448085\pi\)
\(948\) −10.3573 1.77206i −0.336390 0.0575539i
\(949\) −21.2016 15.4038i −0.688232 0.500030i
\(950\) 13.3946 13.1086i 0.434580 0.425299i
\(951\) 11.7391 1.71069i 0.380666 0.0554729i
\(952\) 0.186081 0.572697i 0.00603090 0.0185612i
\(953\) −1.32086 0.429175i −0.0427870 0.0139023i 0.287545 0.957767i \(-0.407161\pi\)
−0.330332 + 0.943865i \(0.607161\pi\)
\(954\) −1.25044 4.19926i −0.0404844 0.135956i
\(955\) 28.6873 46.2512i 0.928298 1.49666i
\(956\) 10.8797 0.351873
\(957\) 2.10853 + 1.10742i 0.0681591 + 0.0357978i
\(958\) −0.830540 1.14314i −0.0268335 0.0369332i
\(959\) −2.15238 1.56380i −0.0695040 0.0504976i
\(960\) 3.78144 0.837074i 0.122046 0.0270165i
\(961\) 18.4703 + 24.8967i 0.595817 + 0.803120i
\(962\) 7.23801 0.233363
\(963\) 5.97734 7.81301i 0.192617 0.251771i
\(964\) −4.07979 5.61535i −0.131401 0.180858i
\(965\) −3.92542 0.964843i −0.126364 0.0310594i
\(966\) 0.981074 0.957093i 0.0315655 0.0307940i
\(967\) −21.3419 −0.686308 −0.343154 0.939279i \(-0.611495\pi\)
−0.343154 + 0.939279i \(0.611495\pi\)
\(968\) 0.199430 + 0.613782i 0.00640991 + 0.0197277i
\(969\) 27.9588 13.8127i 0.898167 0.443729i
\(970\) 8.57558 + 10.1511i 0.275345 + 0.325933i
\(971\) −30.7663 + 42.3462i −0.987338 + 1.35895i −0.0545564 + 0.998511i \(0.517374\pi\)
−0.932781 + 0.360443i \(0.882626\pi\)
\(972\) −13.4253 7.92215i −0.430618 0.254103i
\(973\) 1.98110 + 1.43936i 0.0635112 + 0.0461436i
\(974\) −32.5565 + 23.6537i −1.04318 + 0.757912i
\(975\) 21.6807 28.4320i 0.694340 0.910552i
\(976\) −3.46070 4.76324i −0.110774 0.152468i
\(977\) −39.8257 + 28.9351i −1.27414 + 0.925715i −0.999359 0.0357929i \(-0.988604\pi\)
−0.274778 + 0.961508i \(0.588604\pi\)
\(978\) 19.2500 9.51024i 0.615548 0.304104i
\(979\) −42.2020 + 30.6615i −1.34878 + 0.979947i
\(980\) −5.89855 14.4606i −0.188422 0.461926i
\(981\) 6.36001 1.89386i 0.203060 0.0604662i
\(982\) 31.9047 + 23.1802i 1.01812 + 0.739708i
\(983\) 29.5139 + 9.58964i 0.941346 + 0.305862i 0.739194 0.673492i \(-0.235207\pi\)
0.202152 + 0.979354i \(0.435207\pi\)
\(984\) −0.832578 + 0.411325i −0.0265416 + 0.0131126i
\(985\) −52.8214 12.9832i −1.68303 0.413678i
\(986\) 1.93546i 0.0616376i
\(987\) −0.0205218 0.0210360i −0.000653216 0.000669583i
\(988\) −4.78222 14.7182i −0.152143 0.468247i
\(989\) −1.12656 1.55057i −0.0358224 0.0493054i
\(990\) −21.4038 + 8.11902i −0.680258 + 0.258040i
\(991\) 0.0126434i 0.000401632i −1.00000 0.000200816i \(-0.999936\pi\)
1.00000 0.000200816i \(-6.39217e-5\pi\)
\(992\) 4.97345 + 2.50296i 0.157907 + 0.0794692i
\(993\) 34.3220 + 35.1820i 1.08918 + 1.11647i
\(994\) −1.16031 0.843016i −0.0368029 0.0267388i
\(995\) 2.44660 + 33.3897i 0.0775624 + 1.05852i
\(996\) 5.98138 11.3886i 0.189527 0.360861i
\(997\) 42.9893i 1.36149i −0.732523 0.680743i \(-0.761657\pi\)
0.732523 0.680743i \(-0.238343\pi\)
\(998\) 30.6342i 0.969708i
\(999\) 4.43396 7.95754i 0.140284 0.251765i
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 930.2.y.a.29.14 128
3.2 odd 2 930.2.y.b.29.2 yes 128
5.4 even 2 930.2.y.b.29.19 yes 128
15.14 odd 2 inner 930.2.y.a.29.31 yes 128
31.15 odd 10 inner 930.2.y.a.449.31 yes 128
93.77 even 10 930.2.y.b.449.19 yes 128
155.139 odd 10 930.2.y.b.449.2 yes 128
465.449 even 10 inner 930.2.y.a.449.14 yes 128
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
930.2.y.a.29.14 128 1.1 even 1 trivial
930.2.y.a.29.31 yes 128 15.14 odd 2 inner
930.2.y.a.449.14 yes 128 465.449 even 10 inner
930.2.y.a.449.31 yes 128 31.15 odd 10 inner
930.2.y.b.29.2 yes 128 3.2 odd 2
930.2.y.b.29.19 yes 128 5.4 even 2
930.2.y.b.449.2 yes 128 155.139 odd 10
930.2.y.b.449.19 yes 128 93.77 even 10