Properties

Label 920.2.bb.a.11.7
Level $920$
Weight $2$
Character 920.11
Analytic conductor $7.346$
Analytic rank $0$
Dimension $480$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [920,2,Mod(11,920)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(920, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([11, 11, 0, 9]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("920.11");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 920 = 2^{3} \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 920.bb (of order \(22\), degree \(10\), 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: \(7.34623698596\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(48\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 11.7
Character \(\chi\) \(=\) 920.11
Dual form 920.2.bb.a.251.7

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.30481 - 0.545420i) q^{2} +(0.319837 - 2.22451i) q^{3} +(1.40503 + 1.42333i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(-1.63062 + 2.72811i) q^{6} +(0.470129 + 0.542558i) q^{7} +(-1.05698 - 2.62351i) q^{8} +(-1.96769 - 0.577767i) q^{9} +(1.40561 + 0.155720i) q^{10} +(0.0968928 - 0.150768i) q^{11} +(3.61561 - 2.67029i) q^{12} +(4.77506 + 4.13762i) q^{13} +(-0.317505 - 0.964351i) q^{14} +(0.319837 + 2.22451i) q^{15} +(-0.0517542 + 3.99967i) q^{16} +(0.839909 - 0.383573i) q^{17} +(2.25233 + 1.82709i) q^{18} +(-0.153192 - 0.0699606i) q^{19} +(-1.74912 - 0.969834i) q^{20} +(1.35729 - 0.872280i) q^{21} +(-0.208658 + 0.143876i) q^{22} +(4.51547 - 1.61572i) q^{23} +(-6.17409 + 1.51218i) q^{24} +(0.841254 - 0.540641i) q^{25} +(-3.97379 - 8.00320i) q^{26} +(0.886208 - 1.94052i) q^{27} +(-0.111693 + 1.43146i) q^{28} +(4.18618 - 1.91177i) q^{29} +(0.795969 - 3.07700i) q^{30} +(-5.97499 + 0.859074i) q^{31} +(2.24903 - 5.19056i) q^{32} +(-0.304396 - 0.263761i) q^{33} +(-1.30513 + 0.0423860i) q^{34} +(-0.603942 - 0.388130i) q^{35} +(-1.94232 - 3.61246i) q^{36} +(10.1890 + 2.99176i) q^{37} +(0.161728 + 0.174839i) q^{38} +(10.7314 - 9.29884i) q^{39} +(1.75330 + 2.21945i) q^{40} +(-3.27821 + 0.962568i) q^{41} +(-2.24676 + 0.397861i) q^{42} +(-0.788426 - 0.113359i) q^{43} +(0.350731 - 0.0739238i) q^{44} +2.05076 q^{45} +(-6.77305 - 0.354631i) q^{46} -0.573162i q^{47} +(8.88076 + 1.39437i) q^{48} +(0.922856 - 6.41861i) q^{49} +(-1.39255 + 0.246595i) q^{50} +(-0.584631 - 1.99107i) q^{51} +(0.819925 + 12.6100i) q^{52} +(2.71012 + 3.12764i) q^{53} +(-2.21473 + 2.04865i) q^{54} +(-0.0504917 + 0.171959i) q^{55} +(0.926486 - 1.80686i) q^{56} +(-0.204625 + 0.318403i) q^{57} +(-6.50487 + 0.211256i) q^{58} +(5.33984 - 6.16250i) q^{59} +(-2.71684 + 3.58076i) q^{60} +(1.26232 + 8.77960i) q^{61} +(8.26476 + 2.13795i) q^{62} +(-0.611598 - 1.33921i) q^{63} +(-5.76557 + 5.54601i) q^{64} +(-5.74734 - 2.62472i) q^{65} +(0.253317 + 0.510180i) q^{66} +(0.841448 + 1.30932i) q^{67} +(1.72605 + 0.656536i) q^{68} +(-2.14997 - 10.5615i) q^{69} +(0.576333 + 0.835836i) q^{70} +(-5.17146 - 8.04695i) q^{71} +(0.564044 + 5.77294i) q^{72} +(-0.463174 + 1.01421i) q^{73} +(-11.6629 - 9.46094i) q^{74} +(-0.933600 - 2.04430i) q^{75} +(-0.115663 - 0.316341i) q^{76} +(0.127353 - 0.0183105i) q^{77} +(-19.0742 + 6.28004i) q^{78} +(-3.93088 + 4.53647i) q^{79} +(-1.07718 - 3.85223i) q^{80} +(-9.20892 - 5.91821i) q^{81} +(4.80242 + 0.532034i) q^{82} +(2.87550 - 9.79305i) q^{83} +(3.14859 + 0.706298i) q^{84} +(-0.697821 + 0.604666i) q^{85} +(0.966915 + 0.577934i) q^{86} +(-2.91386 - 9.92368i) q^{87} +(-0.497955 - 0.0948395i) q^{88} +(-7.00700 - 1.00745i) q^{89} +(-2.67585 - 1.11853i) q^{90} +4.53596i q^{91} +(8.64409 + 4.15688i) q^{92} +13.5662i q^{93} +(-0.312614 + 0.747865i) q^{94} +(0.166697 + 0.0239674i) q^{95} +(-10.8272 - 6.66312i) q^{96} +(-5.05401 - 17.2124i) q^{97} +(-4.70498 + 7.87169i) q^{98} +(-0.277764 + 0.240684i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480 q + 2 q^{2} - 4 q^{4} - 48 q^{5} + 5 q^{6} - q^{8} - 48 q^{9} + 2 q^{10} + 3 q^{12} + 32 q^{16} + 7 q^{18} - 4 q^{20} + 8 q^{21} + 4 q^{23} + 2 q^{24} - 48 q^{25} + 7 q^{26} + 12 q^{27} + 5 q^{30}+ \cdots - 98 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/920\mathbb{Z}\right)^\times\).

\(n\) \(231\) \(281\) \(461\) \(737\)
\(\chi(n)\) \(-1\) \(e\left(\frac{9}{22}\right)\) \(-1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.30481 0.545420i −0.922637 0.385670i
\(3\) 0.319837 2.22451i 0.184658 1.28432i −0.660914 0.750462i \(-0.729831\pi\)
0.845571 0.533862i \(-0.179260\pi\)
\(4\) 1.40503 + 1.42333i 0.702517 + 0.711667i
\(5\) −0.959493 + 0.281733i −0.429098 + 0.125995i
\(6\) −1.63062 + 2.72811i −0.665697 + 1.11375i
\(7\) 0.470129 + 0.542558i 0.177692 + 0.205068i 0.837608 0.546272i \(-0.183953\pi\)
−0.659916 + 0.751340i \(0.729408\pi\)
\(8\) −1.05698 2.62351i −0.373700 0.927550i
\(9\) −1.96769 0.577767i −0.655897 0.192589i
\(10\) 1.40561 + 0.155720i 0.444494 + 0.0492430i
\(11\) 0.0968928 0.150768i 0.0292143 0.0454583i −0.826339 0.563173i \(-0.809581\pi\)
0.855554 + 0.517714i \(0.173217\pi\)
\(12\) 3.61561 2.67029i 1.04374 0.770845i
\(13\) 4.77506 + 4.13762i 1.32436 + 1.14757i 0.977800 + 0.209542i \(0.0671972\pi\)
0.346564 + 0.938026i \(0.387348\pi\)
\(14\) −0.317505 0.964351i −0.0848569 0.257734i
\(15\) 0.319837 + 2.22451i 0.0825815 + 0.574367i
\(16\) −0.0517542 + 3.99967i −0.0129386 + 0.999916i
\(17\) 0.839909 0.383573i 0.203708 0.0930302i −0.310949 0.950427i \(-0.600647\pi\)
0.514656 + 0.857396i \(0.327919\pi\)
\(18\) 2.25233 + 1.82709i 0.530879 + 0.430649i
\(19\) −0.153192 0.0699606i −0.0351447 0.0160501i 0.397765 0.917487i \(-0.369786\pi\)
−0.432910 + 0.901437i \(0.642513\pi\)
\(20\) −1.74912 0.969834i −0.391115 0.216861i
\(21\) 1.35729 0.872280i 0.296186 0.190347i
\(22\) −0.208658 + 0.143876i −0.0444861 + 0.0306744i
\(23\) 4.51547 1.61572i 0.941540 0.336900i
\(24\) −6.17409 + 1.51218i −1.26028 + 0.308673i
\(25\) 0.841254 0.540641i 0.168251 0.108128i
\(26\) −3.97379 8.00320i −0.779325 1.56956i
\(27\) 0.886208 1.94052i 0.170551 0.373454i
\(28\) −0.111693 + 1.43146i −0.0211080 + 0.270521i
\(29\) 4.18618 1.91177i 0.777355 0.355006i 0.0130947 0.999914i \(-0.495832\pi\)
0.764260 + 0.644908i \(0.223104\pi\)
\(30\) 0.795969 3.07700i 0.145323 0.561782i
\(31\) −5.97499 + 0.859074i −1.07314 + 0.154294i −0.656160 0.754621i \(-0.727821\pi\)
−0.416980 + 0.908916i \(0.636911\pi\)
\(32\) 2.24903 5.19056i 0.397575 0.917570i
\(33\) −0.304396 0.263761i −0.0529886 0.0459149i
\(34\) −1.30513 + 0.0423860i −0.223827 + 0.00726915i
\(35\) −0.603942 0.388130i −0.102085 0.0656059i
\(36\) −1.94232 3.61246i −0.323720 0.602077i
\(37\) 10.1890 + 2.99176i 1.67506 + 0.491842i 0.974993 0.222236i \(-0.0713355\pi\)
0.700066 + 0.714078i \(0.253154\pi\)
\(38\) 0.161728 + 0.174839i 0.0262358 + 0.0283627i
\(39\) 10.7314 9.29884i 1.71840 1.48901i
\(40\) 1.75330 + 2.21945i 0.277220 + 0.350926i
\(41\) −3.27821 + 0.962568i −0.511970 + 0.150328i −0.527506 0.849551i \(-0.676873\pi\)
0.0155360 + 0.999879i \(0.495055\pi\)
\(42\) −2.24676 + 0.397861i −0.346683 + 0.0613912i
\(43\) −0.788426 0.113359i −0.120234 0.0172870i 0.0819352 0.996638i \(-0.473890\pi\)
−0.202169 + 0.979351i \(0.564799\pi\)
\(44\) 0.350731 0.0739238i 0.0528747 0.0111444i
\(45\) 2.05076 0.305710
\(46\) −6.77305 0.354631i −0.998632 0.0522875i
\(47\) 0.573162i 0.0836043i −0.999126 0.0418022i \(-0.986690\pi\)
0.999126 0.0418022i \(-0.0133099\pi\)
\(48\) 8.88076 + 1.39437i 1.28183 + 0.201260i
\(49\) 0.922856 6.41861i 0.131837 0.916944i
\(50\) −1.39255 + 0.246595i −0.196936 + 0.0348738i
\(51\) −0.584631 1.99107i −0.0818647 0.278806i
\(52\) 0.819925 + 12.6100i 0.113703 + 1.74869i
\(53\) 2.71012 + 3.12764i 0.372264 + 0.429615i 0.910711 0.413044i \(-0.135534\pi\)
−0.538448 + 0.842659i \(0.680989\pi\)
\(54\) −2.21473 + 2.04865i −0.301386 + 0.278786i
\(55\) −0.0504917 + 0.171959i −0.00680830 + 0.0231869i
\(56\) 0.926486 1.80686i 0.123807 0.241452i
\(57\) −0.204625 + 0.318403i −0.0271033 + 0.0421735i
\(58\) −6.50487 + 0.211256i −0.854131 + 0.0277393i
\(59\) 5.33984 6.16250i 0.695188 0.802290i −0.292906 0.956141i \(-0.594622\pi\)
0.988094 + 0.153851i \(0.0491677\pi\)
\(60\) −2.71684 + 3.58076i −0.350743 + 0.462274i
\(61\) 1.26232 + 8.77960i 0.161623 + 1.12411i 0.895575 + 0.444911i \(0.146765\pi\)
−0.733952 + 0.679201i \(0.762326\pi\)
\(62\) 8.26476 + 2.13795i 1.04963 + 0.271520i
\(63\) −0.611598 1.33921i −0.0770541 0.168725i
\(64\) −5.76557 + 5.54601i −0.720697 + 0.693251i
\(65\) −5.74734 2.62472i −0.712870 0.325557i
\(66\) 0.253317 + 0.510180i 0.0311812 + 0.0627988i
\(67\) 0.841448 + 1.30932i 0.102799 + 0.159959i 0.888843 0.458213i \(-0.151510\pi\)
−0.786043 + 0.618171i \(0.787874\pi\)
\(68\) 1.72605 + 0.656536i 0.209315 + 0.0796166i
\(69\) −2.14997 10.5615i −0.258826 1.27145i
\(70\) 0.576333 + 0.835836i 0.0688850 + 0.0999015i
\(71\) −5.17146 8.04695i −0.613739 0.954997i −0.999475 0.0323877i \(-0.989689\pi\)
0.385736 0.922609i \(-0.373948\pi\)
\(72\) 0.564044 + 5.77294i 0.0664732 + 0.680348i
\(73\) −0.463174 + 1.01421i −0.0542104 + 0.118704i −0.934799 0.355178i \(-0.884420\pi\)
0.880588 + 0.473882i \(0.157148\pi\)
\(74\) −11.6629 9.46094i −1.35578 1.09981i
\(75\) −0.933600 2.04430i −0.107803 0.236055i
\(76\) −0.115663 0.316341i −0.0132675 0.0362868i
\(77\) 0.127353 0.0183105i 0.0145132 0.00208668i
\(78\) −19.0742 + 6.28004i −2.15973 + 0.711075i
\(79\) −3.93088 + 4.53647i −0.442258 + 0.510393i −0.932488 0.361200i \(-0.882367\pi\)
0.490230 + 0.871593i \(0.336913\pi\)
\(80\) −1.07718 3.85223i −0.120432 0.430693i
\(81\) −9.20892 5.91821i −1.02321 0.657579i
\(82\) 4.80242 + 0.532034i 0.530339 + 0.0587533i
\(83\) 2.87550 9.79305i 0.315627 1.07493i −0.637020 0.770847i \(-0.719833\pi\)
0.952647 0.304079i \(-0.0983488\pi\)
\(84\) 3.14859 + 0.706298i 0.343539 + 0.0770634i
\(85\) −0.697821 + 0.604666i −0.0756893 + 0.0655852i
\(86\) 0.966915 + 0.577934i 0.104265 + 0.0623202i
\(87\) −2.91386 9.92368i −0.312398 1.06393i
\(88\) −0.497955 0.0948395i −0.0530822 0.0101099i
\(89\) −7.00700 1.00745i −0.742741 0.106790i −0.239452 0.970908i \(-0.576968\pi\)
−0.503289 + 0.864118i \(0.667877\pi\)
\(90\) −2.67585 1.11853i −0.282059 0.117903i
\(91\) 4.53596i 0.475498i
\(92\) 8.64409 + 4.15688i 0.901209 + 0.433385i
\(93\) 13.5662i 1.40675i
\(94\) −0.312614 + 0.747865i −0.0322437 + 0.0771364i
\(95\) 0.166697 + 0.0239674i 0.0171028 + 0.00245901i
\(96\) −10.8272 6.66312i −1.10504 0.680052i
\(97\) −5.05401 17.2124i −0.513157 1.74765i −0.652879 0.757462i \(-0.726439\pi\)
0.139722 0.990191i \(-0.455379\pi\)
\(98\) −4.70498 + 7.87169i −0.475275 + 0.795161i
\(99\) −0.277764 + 0.240684i −0.0279163 + 0.0241896i
\(100\) 1.95150 + 0.437765i 0.195150 + 0.0437765i
\(101\) −0.789615 + 2.68918i −0.0785696 + 0.267583i −0.989404 0.145188i \(-0.953621\pi\)
0.910834 + 0.412772i \(0.135439\pi\)
\(102\) −0.323139 + 2.91683i −0.0319955 + 0.288809i
\(103\) −4.87921 3.13568i −0.480763 0.308968i 0.277718 0.960663i \(-0.410422\pi\)
−0.758481 + 0.651695i \(0.774058\pi\)
\(104\) 5.80790 16.9008i 0.569511 1.65726i
\(105\) −1.05656 + 1.21934i −0.103110 + 0.118995i
\(106\) −1.83030 5.55912i −0.177774 0.539950i
\(107\) 3.87763 0.557519i 0.374864 0.0538974i 0.0476921 0.998862i \(-0.484813\pi\)
0.327172 + 0.944965i \(0.393904\pi\)
\(108\) 4.00717 1.46514i 0.385590 0.140983i
\(109\) −4.35000 9.52516i −0.416654 0.912345i −0.995307 0.0967711i \(-0.969149\pi\)
0.578653 0.815574i \(-0.303579\pi\)
\(110\) 0.159672 0.196834i 0.0152241 0.0187674i
\(111\) 9.91402 21.7087i 0.940997 2.06050i
\(112\) −2.19438 + 1.85228i −0.207350 + 0.175024i
\(113\) 10.1243 + 15.7538i 0.952419 + 1.48199i 0.874496 + 0.485033i \(0.161192\pi\)
0.0779226 + 0.996959i \(0.475171\pi\)
\(114\) 0.440659 0.303847i 0.0412715 0.0284579i
\(115\) −3.87736 + 2.82242i −0.361566 + 0.263192i
\(116\) 8.60281 + 3.27224i 0.798751 + 0.303819i
\(117\) −7.00528 10.9004i −0.647638 1.00774i
\(118\) −10.3286 + 5.12842i −0.950825 + 0.472109i
\(119\) 0.602977 + 0.275370i 0.0552748 + 0.0252431i
\(120\) 5.49797 3.19037i 0.501893 0.291240i
\(121\) 4.55622 + 9.97674i 0.414202 + 0.906976i
\(122\) 3.14149 12.1442i 0.284417 1.09948i
\(123\) 1.09276 + 7.60028i 0.0985305 + 0.685294i
\(124\) −9.61782 7.29738i −0.863706 0.655324i
\(125\) −0.654861 + 0.755750i −0.0585725 + 0.0675963i
\(126\) 0.0675835 + 2.08099i 0.00602081 + 0.185389i
\(127\) 8.91263 13.8683i 0.790868 1.23062i −0.178242 0.983987i \(-0.557041\pi\)
0.969110 0.246628i \(-0.0793227\pi\)
\(128\) 10.5479 4.09180i 0.932307 0.361668i
\(129\) −0.504336 + 1.71761i −0.0444043 + 0.151227i
\(130\) 6.06759 + 6.55946i 0.532162 + 0.575303i
\(131\) 3.65373 + 4.21663i 0.319228 + 0.368408i 0.892571 0.450907i \(-0.148899\pi\)
−0.573343 + 0.819315i \(0.694354\pi\)
\(132\) −0.0522678 0.803850i −0.00454933 0.0699662i
\(133\) −0.0340625 0.116006i −0.00295360 0.0100590i
\(134\) −0.383798 2.16735i −0.0331551 0.187230i
\(135\) −0.303601 + 2.11159i −0.0261298 + 0.181737i
\(136\) −1.89408 1.79807i −0.162416 0.154184i
\(137\) 0.952047i 0.0813389i −0.999173 0.0406694i \(-0.987051\pi\)
0.999173 0.0406694i \(-0.0129491\pi\)
\(138\) −2.95515 + 14.9533i −0.251559 + 1.27291i
\(139\) 21.5515 1.82797 0.913986 0.405747i \(-0.132988\pi\)
0.913986 + 0.405747i \(0.132988\pi\)
\(140\) −0.296121 1.40495i −0.0250268 0.118740i
\(141\) −1.27501 0.183318i −0.107375 0.0154382i
\(142\) 2.35878 + 13.3203i 0.197945 + 1.11782i
\(143\) 1.08649 0.319022i 0.0908569 0.0266780i
\(144\) 2.41271 7.84021i 0.201059 0.653351i
\(145\) −3.47801 + 3.01371i −0.288833 + 0.250275i
\(146\) 1.15752 1.07072i 0.0957971 0.0886135i
\(147\) −13.9831 4.10581i −1.15331 0.338642i
\(148\) 10.0576 + 18.7058i 0.826731 + 1.53761i
\(149\) −8.49979 5.46248i −0.696330 0.447504i 0.144001 0.989578i \(-0.454003\pi\)
−0.840331 + 0.542074i \(0.817639\pi\)
\(150\) 0.103166 + 3.17661i 0.00842344 + 0.259370i
\(151\) 1.35702 + 1.17586i 0.110433 + 0.0956905i 0.708327 0.705885i \(-0.249450\pi\)
−0.597894 + 0.801575i \(0.703996\pi\)
\(152\) −0.0216203 + 0.475848i −0.00175364 + 0.0385964i
\(153\) −1.87430 + 0.269483i −0.151528 + 0.0217864i
\(154\) −0.176157 0.0455689i −0.0141952 0.00367205i
\(155\) 5.49093 2.50763i 0.441042 0.201417i
\(156\) 28.3134 + 2.20921i 2.26688 + 0.176878i
\(157\) −4.52523 + 9.90888i −0.361153 + 0.790815i 0.638620 + 0.769522i \(0.279505\pi\)
−0.999773 + 0.0212928i \(0.993222\pi\)
\(158\) 7.60331 3.77524i 0.604887 0.300342i
\(159\) 7.82429 5.02837i 0.620506 0.398775i
\(160\) −0.695575 + 5.61393i −0.0549900 + 0.443820i
\(161\) 2.99947 + 1.69031i 0.236392 + 0.133215i
\(162\) 8.78794 + 12.7448i 0.690446 + 1.00133i
\(163\) 3.56031 2.28807i 0.278865 0.179216i −0.393731 0.919226i \(-0.628816\pi\)
0.672596 + 0.740010i \(0.265179\pi\)
\(164\) −5.97605 3.31354i −0.466651 0.258744i
\(165\) 0.366376 + 0.167318i 0.0285223 + 0.0130257i
\(166\) −9.09329 + 11.2097i −0.705776 + 0.870039i
\(167\) −9.25886 + 4.22838i −0.716472 + 0.327202i −0.740079 0.672519i \(-0.765212\pi\)
0.0236072 + 0.999721i \(0.492485\pi\)
\(168\) −3.72307 2.63888i −0.287241 0.203594i
\(169\) 3.83127 + 26.6471i 0.294713 + 2.04977i
\(170\) 1.24032 0.408366i 0.0951280 0.0313202i
\(171\) 0.261015 + 0.226170i 0.0199603 + 0.0172957i
\(172\) −0.946420 1.28147i −0.0721638 0.0977109i
\(173\) −10.1342 + 15.7692i −0.770491 + 1.19891i 0.204977 + 0.978767i \(0.434288\pi\)
−0.975468 + 0.220141i \(0.929348\pi\)
\(174\) −1.61056 + 14.5377i −0.122096 + 1.10210i
\(175\) 0.688827 + 0.202258i 0.0520704 + 0.0152893i
\(176\) 0.598008 + 0.395342i 0.0450765 + 0.0298000i
\(177\) −12.0007 13.8496i −0.902028 1.04100i
\(178\) 8.59329 + 5.13629i 0.644094 + 0.384981i
\(179\) −1.32914 + 0.390271i −0.0993446 + 0.0291702i −0.331027 0.943621i \(-0.607395\pi\)
0.231682 + 0.972791i \(0.425577\pi\)
\(180\) 2.88139 + 2.91892i 0.214766 + 0.217563i
\(181\) 1.03522 7.20009i 0.0769470 0.535178i −0.914492 0.404605i \(-0.867409\pi\)
0.991439 0.130573i \(-0.0416818\pi\)
\(182\) 2.47400 5.91855i 0.183385 0.438712i
\(183\) 19.9341 1.47357
\(184\) −9.01162 10.1386i −0.664345 0.747426i
\(185\) −10.6191 −0.780735
\(186\) 7.39928 17.7013i 0.542542 1.29792i
\(187\) 0.0235505 0.163797i 0.00172218 0.0119780i
\(188\) 0.815801 0.805313i 0.0594984 0.0587335i
\(189\) 1.46948 0.431478i 0.106889 0.0313854i
\(190\) −0.204435 0.122193i −0.0148313 0.00886480i
\(191\) 4.17274 + 4.81559i 0.301929 + 0.348444i 0.886358 0.463000i \(-0.153227\pi\)
−0.584430 + 0.811444i \(0.698682\pi\)
\(192\) 10.4931 + 14.5994i 0.757276 + 1.05362i
\(193\) 6.97968 + 2.04942i 0.502408 + 0.147520i 0.523110 0.852265i \(-0.324772\pi\)
−0.0207016 + 0.999786i \(0.506590\pi\)
\(194\) −2.79347 + 25.2154i −0.200559 + 1.81036i
\(195\) −7.67695 + 11.9456i −0.549757 + 0.855439i
\(196\) 10.4325 7.70483i 0.745176 0.550345i
\(197\) −12.3784 10.7259i −0.881925 0.764192i 0.0908694 0.995863i \(-0.471035\pi\)
−0.972794 + 0.231671i \(0.925581\pi\)
\(198\) 0.493702 0.162548i 0.0350859 0.0115518i
\(199\) 1.82041 + 12.6612i 0.129045 + 0.897530i 0.946768 + 0.321918i \(0.104327\pi\)
−0.817722 + 0.575613i \(0.804764\pi\)
\(200\) −2.30757 1.63559i −0.163170 0.115653i
\(201\) 3.18172 1.45304i 0.224421 0.102490i
\(202\) 2.49703 3.07819i 0.175690 0.216580i
\(203\) 3.00529 + 1.37247i 0.210930 + 0.0963286i
\(204\) 2.01253 3.62965i 0.140905 0.254126i
\(205\) 2.87423 1.84715i 0.200745 0.129011i
\(206\) 4.65616 + 6.75267i 0.324410 + 0.470481i
\(207\) −9.81856 + 0.570344i −0.682437 + 0.0396416i
\(208\) −16.7962 + 18.8845i −1.16461 + 1.30941i
\(209\) −0.0253911 + 0.0163179i −0.00175634 + 0.00112873i
\(210\) 2.04366 1.01473i 0.141026 0.0700231i
\(211\) −3.95432 + 8.65876i −0.272227 + 0.596094i −0.995531 0.0944360i \(-0.969895\pi\)
0.723304 + 0.690530i \(0.242622\pi\)
\(212\) −0.643868 + 8.25185i −0.0442210 + 0.566740i
\(213\) −19.5546 + 8.93028i −1.33986 + 0.611892i
\(214\) −5.36363 1.38748i −0.366650 0.0948462i
\(215\) 0.788426 0.113359i 0.0537702 0.00773099i
\(216\) −6.02769 0.273870i −0.410132 0.0186345i
\(217\) −3.27512 2.83790i −0.222329 0.192650i
\(218\) 0.480688 + 14.8011i 0.0325563 + 1.00245i
\(219\) 2.10798 + 1.35472i 0.142444 + 0.0915434i
\(220\) −0.315697 + 0.169742i −0.0212843 + 0.0114440i
\(221\) 5.59769 + 1.64363i 0.376542 + 0.110563i
\(222\) −24.7762 + 22.9183i −1.66287 + 1.53818i
\(223\) 9.07372 7.86242i 0.607621 0.526507i −0.295806 0.955248i \(-0.595588\pi\)
0.903427 + 0.428741i \(0.141043\pi\)
\(224\) 3.87351 1.22001i 0.258810 0.0815151i
\(225\) −1.96769 + 0.577767i −0.131179 + 0.0385178i
\(226\) −4.61788 26.0777i −0.307177 1.73466i
\(227\) 9.60266 + 1.38065i 0.637351 + 0.0916372i 0.453413 0.891301i \(-0.350206\pi\)
0.183938 + 0.982938i \(0.441115\pi\)
\(228\) −0.740699 + 0.156117i −0.0490540 + 0.0103391i
\(229\) 18.3886 1.21515 0.607576 0.794261i \(-0.292142\pi\)
0.607576 + 0.794261i \(0.292142\pi\)
\(230\) 6.59861 1.56792i 0.435099 0.103386i
\(231\) 0.289154i 0.0190250i
\(232\) −9.44026 8.96177i −0.619783 0.588369i
\(233\) 2.73122 18.9961i 0.178928 1.24447i −0.680320 0.732915i \(-0.738159\pi\)
0.859248 0.511559i \(-0.170932\pi\)
\(234\) 3.19522 + 18.0437i 0.208878 + 1.17956i
\(235\) 0.161478 + 0.549945i 0.0105337 + 0.0358745i
\(236\) 16.2740 1.05816i 1.05934 0.0688805i
\(237\) 8.83422 + 10.1952i 0.573844 + 0.662251i
\(238\) −0.636575 0.688180i −0.0412630 0.0446081i
\(239\) 1.41816 4.82982i 0.0917333 0.312415i −0.900826 0.434181i \(-0.857038\pi\)
0.992559 + 0.121767i \(0.0388559\pi\)
\(240\) −8.91387 + 1.16411i −0.575388 + 0.0751432i
\(241\) −3.56016 + 5.53972i −0.229330 + 0.356845i −0.936780 0.349919i \(-0.886209\pi\)
0.707450 + 0.706764i \(0.249846\pi\)
\(242\) −0.503477 15.5028i −0.0323647 0.996555i
\(243\) −11.9194 + 13.7558i −0.764633 + 0.882433i
\(244\) −10.7227 + 14.1323i −0.686450 + 0.904730i
\(245\) 0.922856 + 6.41861i 0.0589591 + 0.410070i
\(246\) 2.71951 10.5129i 0.173390 0.670278i
\(247\) −0.442033 0.967918i −0.0281259 0.0615871i
\(248\) 8.56925 + 14.7674i 0.544148 + 0.937731i
\(249\) −20.8651 9.52877i −1.32227 0.603861i
\(250\) 1.26667 0.628932i 0.0801110 0.0397772i
\(251\) 7.91623 + 12.3179i 0.499668 + 0.777498i 0.995878 0.0907042i \(-0.0289118\pi\)
−0.496210 + 0.868202i \(0.665275\pi\)
\(252\) 1.04683 2.75215i 0.0659440 0.173369i
\(253\) 0.193918 0.837340i 0.0121915 0.0526431i
\(254\) −19.1933 + 13.2343i −1.20430 + 0.830397i
\(255\) 1.12190 + 1.74571i 0.0702560 + 0.109320i
\(256\) −15.9946 0.413999i −0.999665 0.0258749i
\(257\) 12.7005 27.8103i 0.792237 1.73476i 0.122103 0.992517i \(-0.461036\pi\)
0.670134 0.742240i \(-0.266237\pi\)
\(258\) 1.59488 1.96607i 0.0992928 0.122402i
\(259\) 3.16694 + 6.93463i 0.196784 + 0.430897i
\(260\) −4.33936 11.8682i −0.269116 0.736035i
\(261\) −9.34167 + 1.34313i −0.578235 + 0.0831377i
\(262\) −2.46757 7.49469i −0.152447 0.463024i
\(263\) −10.0884 + 11.6427i −0.622080 + 0.717918i −0.976101 0.217319i \(-0.930269\pi\)
0.354021 + 0.935238i \(0.384814\pi\)
\(264\) −0.370236 + 1.07738i −0.0227865 + 0.0663079i
\(265\) −3.48150 2.23742i −0.213867 0.137444i
\(266\) −0.0188272 + 0.169944i −0.00115437 + 0.0104199i
\(267\) −4.48220 + 15.2650i −0.274306 + 0.934200i
\(268\) −0.681333 + 3.03730i −0.0416190 + 0.185532i
\(269\) −11.7570 + 10.1875i −0.716840 + 0.621145i −0.934950 0.354779i \(-0.884556\pi\)
0.218111 + 0.975924i \(0.430011\pi\)
\(270\) 1.54784 2.58963i 0.0941988 0.157600i
\(271\) 6.56192 + 22.3479i 0.398608 + 1.35754i 0.877464 + 0.479642i \(0.159233\pi\)
−0.478856 + 0.877894i \(0.658948\pi\)
\(272\) 1.49070 + 3.37920i 0.0903867 + 0.204894i
\(273\) 10.0903 + 1.45077i 0.610694 + 0.0878045i
\(274\) −0.519265 + 1.24224i −0.0313700 + 0.0750462i
\(275\) 0.179218i 0.0108073i
\(276\) 12.0117 17.8994i 0.723022 1.07742i
\(277\) 10.5963i 0.636672i 0.947978 + 0.318336i \(0.103124\pi\)
−0.947978 + 0.318336i \(0.896876\pi\)
\(278\) −28.1205 11.7546i −1.68655 0.704993i
\(279\) 12.2533 + 1.76176i 0.733585 + 0.105474i
\(280\) −0.379905 + 1.99469i −0.0227037 + 0.119206i
\(281\) 8.09986 + 27.5856i 0.483197 + 1.64562i 0.735168 + 0.677884i \(0.237103\pi\)
−0.251971 + 0.967735i \(0.581079\pi\)
\(282\) 1.56365 + 0.934609i 0.0931141 + 0.0556552i
\(283\) −23.2083 + 20.1101i −1.37959 + 1.19542i −0.422243 + 0.906482i \(0.638757\pi\)
−0.957347 + 0.288940i \(0.906697\pi\)
\(284\) 4.18741 18.6669i 0.248477 1.10768i
\(285\) 0.106632 0.363155i 0.00631633 0.0215114i
\(286\) −1.59166 0.176331i −0.0941168 0.0104267i
\(287\) −2.06343 1.32609i −0.121800 0.0782764i
\(288\) −7.42432 + 8.91401i −0.437482 + 0.525263i
\(289\) −10.5743 + 12.2034i −0.622019 + 0.717848i
\(290\) 6.18186 2.03533i 0.363011 0.119519i
\(291\) −39.9057 + 5.73757i −2.33931 + 0.336342i
\(292\) −2.09433 + 0.765748i −0.122562 + 0.0448120i
\(293\) 5.17539 + 11.3325i 0.302349 + 0.662053i 0.998436 0.0559050i \(-0.0178044\pi\)
−0.696087 + 0.717958i \(0.745077\pi\)
\(294\) 16.0059 + 12.9840i 0.933481 + 0.757240i
\(295\) −3.38736 + 7.41729i −0.197220 + 0.431851i
\(296\) −2.92070 29.8931i −0.169762 1.73750i
\(297\) −0.206702 0.321635i −0.0119941 0.0186631i
\(298\) 8.11123 + 11.7634i 0.469871 + 0.681437i
\(299\) 28.2469 + 10.9681i 1.63356 + 0.634303i
\(300\) 1.59798 4.20113i 0.0922592 0.242553i
\(301\) −0.309159 0.481060i −0.0178196 0.0277279i
\(302\) −1.12931 2.27442i −0.0649843 0.130878i
\(303\) 5.72957 + 2.61661i 0.329155 + 0.150320i
\(304\) 0.287747 0.609098i 0.0165034 0.0349341i
\(305\) −3.68468 8.06833i −0.210984 0.461991i
\(306\) 2.59257 + 0.670655i 0.148208 + 0.0383388i
\(307\) −0.514393 3.57768i −0.0293580 0.204189i 0.969863 0.243650i \(-0.0783449\pi\)
−0.999221 + 0.0394613i \(0.987436\pi\)
\(308\) 0.204997 + 0.155538i 0.0116808 + 0.00886262i
\(309\) −8.53592 + 9.85097i −0.485591 + 0.560402i
\(310\) −8.53231 + 0.277100i −0.484603 + 0.0157382i
\(311\) 9.85874 15.3405i 0.559038 0.869880i −0.440575 0.897716i \(-0.645225\pi\)
0.999612 + 0.0278362i \(0.00886168\pi\)
\(312\) −35.7385 18.3253i −2.02329 1.03746i
\(313\) −3.52387 + 12.0012i −0.199181 + 0.678347i 0.797955 + 0.602717i \(0.205915\pi\)
−0.997136 + 0.0756303i \(0.975903\pi\)
\(314\) 11.3090 10.4610i 0.638207 0.590349i
\(315\) 0.964124 + 1.11266i 0.0543222 + 0.0626912i
\(316\) −11.9799 + 0.778957i −0.673924 + 0.0438197i
\(317\) 0.913861 + 3.11232i 0.0513275 + 0.174806i 0.981168 0.193158i \(-0.0618731\pi\)
−0.929840 + 0.367964i \(0.880055\pi\)
\(318\) −12.9517 + 2.29352i −0.726298 + 0.128614i
\(319\) 0.117378 0.816380i 0.00657189 0.0457085i
\(320\) 3.96954 6.94570i 0.221904 0.388277i
\(321\) 8.80415i 0.491400i
\(322\) −2.99180 3.84150i −0.166727 0.214078i
\(323\) −0.155503 −0.00865240
\(324\) −4.51526 21.4226i −0.250848 1.19015i
\(325\) 6.25400 + 0.899190i 0.346910 + 0.0498781i
\(326\) −5.89348 + 1.04363i −0.326409 + 0.0578012i
\(327\) −22.5802 + 6.63013i −1.24869 + 0.366647i
\(328\) 5.99031 + 7.58298i 0.330760 + 0.418700i
\(329\) 0.310974 0.269460i 0.0171445 0.0148558i
\(330\) −0.386791 0.418147i −0.0212921 0.0230182i
\(331\) 6.00560 + 1.76340i 0.330098 + 0.0969254i 0.442582 0.896728i \(-0.354063\pi\)
−0.112484 + 0.993654i \(0.535881\pi\)
\(332\) 17.9789 9.66678i 0.986723 0.530534i
\(333\) −18.3203 11.7737i −1.00394 0.645196i
\(334\) 14.3873 0.467249i 0.787236 0.0255667i
\(335\) −1.17624 1.01922i −0.0642649 0.0556858i
\(336\) 3.41858 + 5.47386i 0.186499 + 0.298624i
\(337\) 6.53734 0.939927i 0.356112 0.0512011i 0.0380625 0.999275i \(-0.487881\pi\)
0.318049 + 0.948074i \(0.396972\pi\)
\(338\) 9.53477 36.8589i 0.518623 2.00486i
\(339\) 38.2827 17.4831i 2.07923 0.949553i
\(340\) −1.84110 0.143656i −0.0998479 0.00779084i
\(341\) −0.449413 + 0.984077i −0.0243371 + 0.0532907i
\(342\) −0.217215 0.437471i −0.0117457 0.0236557i
\(343\) 8.14392 5.23378i 0.439731 0.282598i
\(344\) 0.535957 + 2.18826i 0.0288968 + 0.117983i
\(345\) 5.03840 + 9.52796i 0.271258 + 0.512968i
\(346\) 21.8240 15.0483i 1.17327 0.809001i
\(347\) 13.4714 8.65751i 0.723180 0.464760i −0.126562 0.991959i \(-0.540394\pi\)
0.849742 + 0.527199i \(0.176758\pi\)
\(348\) 10.0306 18.0905i 0.537698 0.969753i
\(349\) −14.3479 6.55248i −0.768027 0.350746i −0.00743161 0.999972i \(-0.502366\pi\)
−0.760595 + 0.649226i \(0.775093\pi\)
\(350\) −0.788470 0.639607i −0.0421455 0.0341884i
\(351\) 12.2608 5.59934i 0.654435 0.298871i
\(352\) −0.564657 0.842009i −0.0300963 0.0448792i
\(353\) −2.40269 16.7111i −0.127882 0.889440i −0.948232 0.317578i \(-0.897130\pi\)
0.820350 0.571862i \(-0.193779\pi\)
\(354\) 8.10477 + 24.6164i 0.430764 + 1.30835i
\(355\) 7.22907 + 6.26402i 0.383679 + 0.332460i
\(356\) −8.41114 11.3888i −0.445789 0.603606i
\(357\) 0.805419 1.25326i 0.0426273 0.0663294i
\(358\) 1.94713 + 0.215712i 0.102909 + 0.0114007i
\(359\) −19.0696 5.59935i −1.00646 0.295522i −0.263353 0.964699i \(-0.584828\pi\)
−0.743103 + 0.669177i \(0.766647\pi\)
\(360\) −2.16762 5.38019i −0.114244 0.283561i
\(361\) −12.4238 14.3378i −0.653883 0.754621i
\(362\) −5.27782 + 8.83009i −0.277396 + 0.464099i
\(363\) 23.6506 6.94446i 1.24134 0.364489i
\(364\) −6.45619 + 6.37319i −0.338396 + 0.334046i
\(365\) 0.158676 1.10362i 0.00830549 0.0577660i
\(366\) −26.0101 10.8724i −1.35957 0.568311i
\(367\) 5.05840 0.264046 0.132023 0.991247i \(-0.457853\pi\)
0.132023 + 0.991247i \(0.457853\pi\)
\(368\) 6.22863 + 18.1440i 0.324690 + 0.945821i
\(369\) 7.00664 0.364751
\(370\) 13.8559 + 5.79189i 0.720334 + 0.301106i
\(371\) −0.422823 + 2.94080i −0.0219519 + 0.152678i
\(372\) −19.3093 + 19.0610i −1.00114 + 0.988268i
\(373\) 24.3624 7.15346i 1.26144 0.370392i 0.418409 0.908259i \(-0.362588\pi\)
0.843030 + 0.537867i \(0.180770\pi\)
\(374\) −0.120067 + 0.200878i −0.00620851 + 0.0103872i
\(375\) 1.47173 + 1.69846i 0.0759997 + 0.0877083i
\(376\) −1.50369 + 0.605823i −0.0775471 + 0.0312429i
\(377\) 27.8994 + 8.19201i 1.43689 + 0.421910i
\(378\) −2.15272 0.238488i −0.110724 0.0122665i
\(379\) 10.4439 16.2510i 0.536467 0.834759i −0.462179 0.886787i \(-0.652932\pi\)
0.998646 + 0.0520278i \(0.0165685\pi\)
\(380\) 0.200102 + 0.270941i 0.0102650 + 0.0138990i
\(381\) −27.9997 24.2619i −1.43447 1.24297i
\(382\) −2.81809 8.55930i −0.144186 0.437932i
\(383\) 3.47190 + 24.1476i 0.177406 + 1.23389i 0.862737 + 0.505654i \(0.168749\pi\)
−0.685330 + 0.728232i \(0.740342\pi\)
\(384\) −5.72868 24.7726i −0.292341 1.26417i
\(385\) −0.117035 + 0.0534482i −0.00596467 + 0.00272397i
\(386\) −7.98933 6.48094i −0.406646 0.329871i
\(387\) 1.48589 + 0.678581i 0.0755318 + 0.0344942i
\(388\) 17.3979 31.3775i 0.883244 1.59295i
\(389\) −28.0661 + 18.0370i −1.42301 + 0.914513i −0.423045 + 0.906109i \(0.639039\pi\)
−0.999965 + 0.00840403i \(0.997325\pi\)
\(390\) 16.5323 11.3995i 0.837144 0.577235i
\(391\) 3.17284 3.08907i 0.160457 0.156221i
\(392\) −17.8147 + 4.36324i −0.899778 + 0.220377i
\(393\) 10.5485 6.77914i 0.532104 0.341962i
\(394\) 10.3013 + 20.7467i 0.518970 + 1.04520i
\(395\) 2.49358 5.46017i 0.125465 0.274731i
\(396\) −0.732842 0.0571815i −0.0368267 0.00287348i
\(397\) −19.4096 + 8.86407i −0.974140 + 0.444875i −0.837914 0.545803i \(-0.816225\pi\)
−0.136227 + 0.990678i \(0.543498\pi\)
\(398\) 4.53040 17.5133i 0.227088 0.877864i
\(399\) −0.268952 + 0.0386695i −0.0134645 + 0.00193590i
\(400\) 2.11884 + 3.39271i 0.105942 + 0.169636i
\(401\) −15.7700 13.6648i −0.787517 0.682388i 0.165195 0.986261i \(-0.447175\pi\)
−0.952712 + 0.303873i \(0.901720\pi\)
\(402\) −4.94405 + 0.160566i −0.246587 + 0.00800830i
\(403\) −32.0855 20.6201i −1.59829 1.02716i
\(404\) −4.93704 + 2.65451i −0.245627 + 0.132067i
\(405\) 10.5032 + 3.08403i 0.521910 + 0.153247i
\(406\) −3.17275 3.42995i −0.157461 0.170226i
\(407\) 1.43830 1.24630i 0.0712940 0.0617766i
\(408\) −4.60564 + 3.63831i −0.228013 + 0.180123i
\(409\) −13.5002 + 3.96402i −0.667543 + 0.196008i −0.597909 0.801564i \(-0.704001\pi\)
−0.0696345 + 0.997573i \(0.522183\pi\)
\(410\) −4.75778 + 0.842517i −0.234970 + 0.0416089i
\(411\) −2.11784 0.304500i −0.104465 0.0150199i
\(412\) −2.39235 11.3505i −0.117862 0.559198i
\(413\) 5.85393 0.288053
\(414\) 13.1224 + 4.61105i 0.644930 + 0.226621i
\(415\) 10.2065i 0.501017i
\(416\) 32.2158 15.4796i 1.57951 0.758952i
\(417\) 6.89295 47.9415i 0.337549 2.34771i
\(418\) 0.0420305 0.00744284i 0.00205578 0.000364041i
\(419\) −7.70508 26.2411i −0.376418 1.28196i −0.902191 0.431337i \(-0.858042\pi\)
0.525773 0.850625i \(-0.323776\pi\)
\(420\) −3.22004 + 0.209372i −0.157122 + 0.0102163i
\(421\) 16.3841 + 18.9083i 0.798514 + 0.921535i 0.998299 0.0583053i \(-0.0185697\pi\)
−0.199785 + 0.979840i \(0.564024\pi\)
\(422\) 9.88228 9.14123i 0.481062 0.444988i
\(423\) −0.331154 + 1.12781i −0.0161013 + 0.0548359i
\(424\) 5.34084 10.4159i 0.259374 0.505840i
\(425\) 0.499201 0.776771i 0.0242148 0.0376789i
\(426\) 30.3857 0.986823i 1.47219 0.0478117i
\(427\) −4.16999 + 4.81243i −0.201800 + 0.232890i
\(428\) 6.24174 + 4.73582i 0.301706 + 0.228915i
\(429\) −0.362170 2.51895i −0.0174857 0.121616i
\(430\) −1.09057 0.282112i −0.0525920 0.0136047i
\(431\) −12.4547 27.2719i −0.599921 1.31364i −0.929258 0.369431i \(-0.879553\pi\)
0.329338 0.944212i \(-0.393175\pi\)
\(432\) 7.71558 + 3.64496i 0.371216 + 0.175368i
\(433\) 11.1500 + 5.09205i 0.535837 + 0.244709i 0.664906 0.746927i \(-0.268472\pi\)
−0.129069 + 0.991636i \(0.541199\pi\)
\(434\) 2.72554 + 5.48923i 0.130830 + 0.263491i
\(435\) 5.59165 + 8.70077i 0.268099 + 0.417170i
\(436\) 7.44558 19.5747i 0.356579 0.937457i
\(437\) −0.804772 0.0683897i −0.0384975 0.00327152i
\(438\) −2.01162 2.91738i −0.0961188 0.139398i
\(439\) −15.0239 23.3777i −0.717053 1.11576i −0.988193 0.153217i \(-0.951037\pi\)
0.271139 0.962540i \(-0.412600\pi\)
\(440\) 0.504504 0.0492924i 0.0240513 0.00234992i
\(441\) −5.52435 + 12.0966i −0.263064 + 0.576031i
\(442\) −6.40743 5.19771i −0.304771 0.247230i
\(443\) −15.3666 33.6481i −0.730088 1.59867i −0.799203 0.601061i \(-0.794745\pi\)
0.0691150 0.997609i \(-0.477982\pi\)
\(444\) 44.8282 16.3905i 2.12745 0.777859i
\(445\) 7.00700 1.00745i 0.332164 0.0477579i
\(446\) −16.1278 + 5.30995i −0.763671 + 0.251433i
\(447\) −14.8699 + 17.1608i −0.703323 + 0.811678i
\(448\) −5.71960 0.520819i −0.270225 0.0246064i
\(449\) 11.7216 + 7.53301i 0.553176 + 0.355505i 0.787173 0.616733i \(-0.211544\pi\)
−0.233996 + 0.972237i \(0.575180\pi\)
\(450\) 2.88258 + 0.319345i 0.135886 + 0.0150541i
\(451\) −0.172510 + 0.587515i −0.00812318 + 0.0276650i
\(452\) −8.19783 + 36.5449i −0.385594 + 1.71893i
\(453\) 3.04975 2.64263i 0.143290 0.124161i
\(454\) −11.7766 7.03896i −0.552701 0.330355i
\(455\) −1.27793 4.35223i −0.0599102 0.204035i
\(456\) 1.05162 + 0.200289i 0.0492465 + 0.00937938i
\(457\) 22.8644 + 3.28741i 1.06955 + 0.153778i 0.654532 0.756034i \(-0.272866\pi\)
0.415020 + 0.909812i \(0.363775\pi\)
\(458\) −23.9935 10.0295i −1.12114 0.468648i
\(459\) 1.96979i 0.0919419i
\(460\) −9.46508 1.55317i −0.441311 0.0724172i
\(461\) 13.2188i 0.615660i 0.951441 + 0.307830i \(0.0996027\pi\)
−0.951441 + 0.307830i \(0.900397\pi\)
\(462\) −0.157710 + 0.377290i −0.00733735 + 0.0175531i
\(463\) −26.2501 3.77420i −1.21995 0.175402i −0.497893 0.867238i \(-0.665893\pi\)
−0.722054 + 0.691836i \(0.756802\pi\)
\(464\) 7.42977 + 16.8423i 0.344918 + 0.781883i
\(465\) −3.82205 13.0167i −0.177243 0.603635i
\(466\) −13.9246 + 23.2965i −0.645042 + 1.07919i
\(467\) −26.4899 + 22.9537i −1.22581 + 1.06217i −0.229769 + 0.973245i \(0.573797\pi\)
−0.996038 + 0.0889231i \(0.971657\pi\)
\(468\) 5.67228 25.2863i 0.262201 1.16886i
\(469\) −0.314792 + 1.07208i −0.0145357 + 0.0495042i
\(470\) 0.0892529 0.805645i 0.00411693 0.0371616i
\(471\) 20.5951 + 13.2357i 0.948973 + 0.609868i
\(472\) −21.8115 7.49544i −1.00396 0.345006i
\(473\) −0.0934837 + 0.107886i −0.00429839 + 0.00496060i
\(474\) −5.96626 18.1211i −0.274039 0.832332i
\(475\) −0.166697 + 0.0239674i −0.00764859 + 0.00109970i
\(476\) 0.455260 + 1.24514i 0.0208668 + 0.0570709i
\(477\) −3.52563 7.72006i −0.161428 0.353477i
\(478\) −4.48470 + 5.52848i −0.205125 + 0.252867i
\(479\) −15.6582 + 34.2867i −0.715442 + 1.56660i 0.104742 + 0.994499i \(0.466598\pi\)
−0.820184 + 0.572100i \(0.806129\pi\)
\(480\) 12.2658 + 3.34286i 0.559854 + 0.152580i
\(481\) 36.2743 + 56.4439i 1.65397 + 2.57362i
\(482\) 7.66679 5.28648i 0.349213 0.240792i
\(483\) 4.71946 6.13175i 0.214743 0.279004i
\(484\) −7.79857 + 20.5027i −0.354480 + 0.931940i
\(485\) 9.69858 + 15.0913i 0.440390 + 0.685260i
\(486\) 23.0552 11.4475i 1.04581 0.519270i
\(487\) −24.0293 10.9738i −1.08887 0.497272i −0.211646 0.977346i \(-0.567882\pi\)
−0.877228 + 0.480075i \(0.840610\pi\)
\(488\) 21.6991 12.5916i 0.982271 0.569994i
\(489\) −3.95114 8.65178i −0.178677 0.391247i
\(490\) 2.29669 8.87838i 0.103754 0.401084i
\(491\) −0.621815 4.32482i −0.0280621 0.195176i 0.970968 0.239210i \(-0.0768883\pi\)
−0.999030 + 0.0440334i \(0.985979\pi\)
\(492\) −9.28237 + 12.2340i −0.418482 + 0.551552i
\(493\) 2.78271 3.21142i 0.125327 0.144635i
\(494\) 0.0488460 + 1.50404i 0.00219769 + 0.0676699i
\(495\) 0.198704 0.309190i 0.00893109 0.0138970i
\(496\) −3.12678 23.9424i −0.140396 1.07505i
\(497\) 1.93468 6.58892i 0.0867824 0.295554i
\(498\) 22.0277 + 23.8134i 0.987085 + 1.06710i
\(499\) −27.6602 31.9215i −1.23824 1.42900i −0.865381 0.501115i \(-0.832923\pi\)
−0.372858 0.927889i \(-0.621622\pi\)
\(500\) −1.99579 + 0.129770i −0.0892542 + 0.00580347i
\(501\) 6.44477 + 21.9489i 0.287931 + 0.980603i
\(502\) −3.61072 20.3901i −0.161154 0.910055i
\(503\) 2.56665 17.8514i 0.114441 0.795955i −0.849069 0.528282i \(-0.822836\pi\)
0.963510 0.267673i \(-0.0862546\pi\)
\(504\) −2.86698 + 3.02006i −0.127706 + 0.134524i
\(505\) 2.80271i 0.124719i
\(506\) −0.709727 + 0.986800i −0.0315512 + 0.0438686i
\(507\) 60.5022 2.68700
\(508\) 32.2618 6.79984i 1.43139 0.301694i
\(509\) −16.5636 2.38149i −0.734171 0.105558i −0.234919 0.972015i \(-0.575483\pi\)
−0.499251 + 0.866457i \(0.666392\pi\)
\(510\) −0.511716 2.88972i −0.0226592 0.127959i
\(511\) −0.768019 + 0.225511i −0.0339752 + 0.00997600i
\(512\) 20.6441 + 9.26398i 0.912349 + 0.409414i
\(513\) −0.271521 + 0.235274i −0.0119879 + 0.0103876i
\(514\) −31.7400 + 29.3599i −1.39999 + 1.29501i
\(515\) 5.56499 + 1.63403i 0.245223 + 0.0720039i
\(516\) −3.15334 + 1.69546i −0.138818 + 0.0746386i
\(517\) −0.0864146 0.0555353i −0.00380051 0.00244244i
\(518\) −0.349957 10.7757i −0.0153762 0.473455i
\(519\) 31.8375 + 27.5873i 1.39751 + 1.21095i
\(520\) −0.811133 + 17.8525i −0.0355705 + 0.782883i
\(521\) −17.8048 + 2.55994i −0.780041 + 0.112153i −0.520822 0.853665i \(-0.674374\pi\)
−0.259220 + 0.965818i \(0.583465\pi\)
\(522\) 12.9216 + 3.34261i 0.565565 + 0.146302i
\(523\) −2.05150 + 0.936891i −0.0897060 + 0.0409674i −0.459763 0.888042i \(-0.652066\pi\)
0.370057 + 0.929009i \(0.379338\pi\)
\(524\) −0.868049 + 11.1250i −0.0379209 + 0.485997i
\(525\) 0.670238 1.46762i 0.0292516 0.0640520i
\(526\) 19.5136 9.68900i 0.850833 0.422460i
\(527\) −4.68893 + 3.01339i −0.204253 + 0.131265i
\(528\) 1.07071 1.20383i 0.0465966 0.0523901i
\(529\) 17.7789 14.5914i 0.772997 0.634410i
\(530\) 3.32235 + 4.81828i 0.144313 + 0.209293i
\(531\) −14.0677 + 9.04073i −0.610484 + 0.392334i
\(532\) 0.117257 0.211475i 0.00508372 0.00916862i
\(533\) −19.6364 8.96763i −0.850546 0.388431i
\(534\) 14.1742 17.4731i 0.613378 0.756136i
\(535\) −3.56348 + 1.62739i −0.154063 + 0.0703582i
\(536\) 2.54561 3.59147i 0.109954 0.155128i
\(537\) 0.443055 + 3.08151i 0.0191192 + 0.132977i
\(538\) 20.8971 6.88023i 0.900940 0.296628i
\(539\) −0.878303 0.761054i −0.0378312 0.0327809i
\(540\) −3.43207 + 2.53474i −0.147693 + 0.109078i
\(541\) 10.7066 16.6597i 0.460311 0.716258i −0.531061 0.847333i \(-0.678207\pi\)
0.991372 + 0.131075i \(0.0418430\pi\)
\(542\) 3.62693 32.7386i 0.155790 1.40624i
\(543\) −15.6856 4.60571i −0.673134 0.197650i
\(544\) −0.101984 5.22226i −0.00437254 0.223903i
\(545\) 6.85734 + 7.91379i 0.293736 + 0.338990i
\(546\) −12.3746 7.39643i −0.529585 0.316538i
\(547\) −3.36108 + 0.986902i −0.143709 + 0.0421969i −0.352796 0.935700i \(-0.614769\pi\)
0.209087 + 0.977897i \(0.432951\pi\)
\(548\) 1.35508 1.33766i 0.0578861 0.0571420i
\(549\) 2.58871 18.0049i 0.110483 0.768429i
\(550\) −0.0977493 + 0.233845i −0.00416804 + 0.00997120i
\(551\) −0.775040 −0.0330178
\(552\) −25.4357 + 16.8038i −1.08261 + 0.715217i
\(553\) −4.30932 −0.183251
\(554\) 5.77945 13.8262i 0.245545 0.587417i
\(555\) −3.39639 + 23.6224i −0.144169 + 1.00272i
\(556\) 30.2806 + 30.6749i 1.28418 + 1.30091i
\(557\) 18.6533 5.47710i 0.790365 0.232072i 0.138455 0.990369i \(-0.455786\pi\)
0.651910 + 0.758297i \(0.273968\pi\)
\(558\) −15.0273 8.98194i −0.636155 0.380236i
\(559\) −3.29575 3.80350i −0.139395 0.160871i
\(560\) 1.58365 2.39548i 0.0669213 0.101227i
\(561\) −0.356837 0.104777i −0.0150657 0.00442367i
\(562\) 4.47698 40.4117i 0.188850 1.70466i
\(563\) −7.49848 + 11.6679i −0.316023 + 0.491742i −0.962533 0.271164i \(-0.912591\pi\)
0.646510 + 0.762905i \(0.276228\pi\)
\(564\) −1.53051 2.07233i −0.0644460 0.0872608i
\(565\) −14.1526 12.2633i −0.595404 0.515921i
\(566\) 41.2508 13.5815i 1.73390 0.570874i
\(567\) −1.11841 7.77870i −0.0469687 0.326675i
\(568\) −15.6451 + 22.0728i −0.656453 + 0.926156i
\(569\) −29.8962 + 13.6531i −1.25331 + 0.572369i −0.927768 0.373157i \(-0.878275\pi\)
−0.325546 + 0.945526i \(0.605548\pi\)
\(570\) −0.337206 + 0.415687i −0.0141240 + 0.0174112i
\(571\) −17.3239 7.91156i −0.724983 0.331088i 0.0185136 0.999829i \(-0.494107\pi\)
−0.743496 + 0.668740i \(0.766834\pi\)
\(572\) 1.98063 + 1.09820i 0.0828144 + 0.0459180i
\(573\) 12.0470 7.74211i 0.503269 0.323431i
\(574\) 1.96910 + 2.85572i 0.0821887 + 0.119195i
\(575\) 2.92513 3.80047i 0.121986 0.158491i
\(576\) 14.5492 7.58168i 0.606215 0.315903i
\(577\) −24.7937 + 15.9340i −1.03218 + 0.663339i −0.943040 0.332680i \(-0.892047\pi\)
−0.0891362 + 0.996019i \(0.528411\pi\)
\(578\) 20.4534 10.1556i 0.850749 0.422419i
\(579\) 6.79132 14.8709i 0.282238 0.618014i
\(580\) −9.17623 0.715995i −0.381022 0.0297301i
\(581\) 6.66515 3.04387i 0.276517 0.126281i
\(582\) 55.1985 + 14.2789i 2.28805 + 0.591880i
\(583\) 0.734140 0.105553i 0.0304050 0.00437158i
\(584\) 3.15035 + 0.143137i 0.130362 + 0.00592306i
\(585\) 9.79252 + 8.48527i 0.404871 + 0.350823i
\(586\) −0.571896 17.6095i −0.0236248 0.727441i
\(587\) 2.53058 + 1.62631i 0.104448 + 0.0671248i 0.591822 0.806069i \(-0.298409\pi\)
−0.487374 + 0.873193i \(0.662045\pi\)
\(588\) −13.8028 25.6714i −0.569219 1.05867i
\(589\) 0.975425 + 0.286411i 0.0401917 + 0.0118013i
\(590\) 8.46538 7.83058i 0.348514 0.322380i
\(591\) −27.8191 + 24.1054i −1.14433 + 0.991563i
\(592\) −12.4933 + 40.5977i −0.513473 + 1.66856i
\(593\) −42.2912 + 12.4178i −1.73669 + 0.509938i −0.988195 0.153201i \(-0.951042\pi\)
−0.748496 + 0.663139i \(0.769224\pi\)
\(594\) 0.0942802 + 0.532410i 0.00386836 + 0.0218451i
\(595\) −0.656132 0.0943376i −0.0268988 0.00386746i
\(596\) −4.16757 19.7730i −0.170710 0.809934i
\(597\) 28.7473 1.17655
\(598\) −30.8744 29.7177i −1.26255 1.21525i
\(599\) 36.8386i 1.50518i 0.658488 + 0.752592i \(0.271197\pi\)
−0.658488 + 0.752592i \(0.728803\pi\)
\(600\) −4.37643 + 4.61009i −0.178667 + 0.188206i
\(601\) −1.82131 + 12.6675i −0.0742929 + 0.516719i 0.918362 + 0.395741i \(0.129512\pi\)
−0.992655 + 0.120978i \(0.961397\pi\)
\(602\) 0.141012 + 0.796311i 0.00574723 + 0.0324552i
\(603\) −0.899230 3.06250i −0.0366195 0.124714i
\(604\) 0.233013 + 3.58362i 0.00948118 + 0.145815i
\(605\) −7.18243 8.28897i −0.292007 0.336995i
\(606\) −6.04883 6.53919i −0.245717 0.265636i
\(607\) 2.55304 8.69485i 0.103625 0.352913i −0.891315 0.453384i \(-0.850217\pi\)
0.994940 + 0.100471i \(0.0320349\pi\)
\(608\) −0.707668 + 0.637811i −0.0286997 + 0.0258666i
\(609\) 4.01429 6.24635i 0.162667 0.253115i
\(610\) 0.407169 + 12.5373i 0.0164858 + 0.507620i
\(611\) 2.37153 2.73689i 0.0959416 0.110723i
\(612\) −3.01702 2.28912i −0.121956 0.0925320i
\(613\) −0.231293 1.60868i −0.00934186 0.0649740i 0.984617 0.174725i \(-0.0559037\pi\)
−0.993959 + 0.109751i \(0.964995\pi\)
\(614\) −1.28015 + 4.94874i −0.0516629 + 0.199715i
\(615\) −3.18974 6.98455i −0.128623 0.281644i
\(616\) −0.182648 0.314757i −0.00735908 0.0126819i
\(617\) 30.0949 + 13.7439i 1.21158 + 0.553309i 0.915679 0.401911i \(-0.131654\pi\)
0.295898 + 0.955220i \(0.404381\pi\)
\(618\) 16.5106 8.19795i 0.664155 0.329770i
\(619\) −5.30180 8.24976i −0.213097 0.331586i 0.718206 0.695831i \(-0.244964\pi\)
−0.931303 + 0.364245i \(0.881327\pi\)
\(620\) 11.2841 + 4.29213i 0.453182 + 0.172376i
\(621\) 0.866309 10.1942i 0.0347638 0.409081i
\(622\) −21.2307 + 14.6392i −0.851275 + 0.586979i
\(623\) −2.74759 4.27534i −0.110080 0.171288i
\(624\) 36.6368 + 43.4034i 1.46665 + 1.73753i
\(625\) 0.415415 0.909632i 0.0166166 0.0363853i
\(626\) 11.1436 13.7372i 0.445389 0.549050i
\(627\) 0.0281783 + 0.0617019i 0.00112533 + 0.00246414i
\(628\) −20.4618 + 7.48141i −0.816513 + 0.298541i
\(629\) 9.70538 1.39542i 0.386979 0.0556391i
\(630\) −0.651128 1.97765i −0.0259416 0.0787916i
\(631\) −24.6394 + 28.4354i −0.980879 + 1.13199i 0.0103641 + 0.999946i \(0.496701\pi\)
−0.991243 + 0.132049i \(0.957845\pi\)
\(632\) 16.0563 + 5.51770i 0.638687 + 0.219482i
\(633\) 17.9968 + 11.5658i 0.715309 + 0.459701i
\(634\) 0.505112 4.55942i 0.0200606 0.181078i
\(635\) −4.64445 + 15.8175i −0.184309 + 0.627700i
\(636\) 18.1504 + 4.07154i 0.719712 + 0.161447i
\(637\) 30.9644 26.8308i 1.22685 1.06308i
\(638\) −0.598425 + 1.00120i −0.0236919 + 0.0396378i
\(639\) 5.52658 + 18.8218i 0.218628 + 0.744579i
\(640\) −8.96779 + 6.89773i −0.354483 + 0.272657i
\(641\) −19.5377 2.80909i −0.771691 0.110952i −0.254789 0.966997i \(-0.582006\pi\)
−0.516902 + 0.856044i \(0.672915\pi\)
\(642\) −4.80196 + 11.4877i −0.189518 + 0.453384i
\(643\) 8.65607i 0.341362i −0.985326 0.170681i \(-0.945403\pi\)
0.985326 0.170681i \(-0.0545968\pi\)
\(644\) 1.80849 + 6.64419i 0.0712646 + 0.261818i
\(645\) 1.79012i 0.0704860i
\(646\) 0.202901 + 0.0848142i 0.00798302 + 0.00333697i
\(647\) −47.9839 6.89904i −1.88644 0.271229i −0.900068 0.435750i \(-0.856483\pi\)
−0.986374 + 0.164520i \(0.947392\pi\)
\(648\) −5.79279 + 30.4151i −0.227562 + 1.19482i
\(649\) −0.411717 1.40218i −0.0161613 0.0550404i
\(650\) −7.66982 4.58432i −0.300835 0.179812i
\(651\) −7.36047 + 6.37788i −0.288479 + 0.249969i
\(652\) 8.25905 + 1.85269i 0.323450 + 0.0725568i
\(653\) −8.27532 + 28.1832i −0.323838 + 1.10289i 0.623278 + 0.782001i \(0.285801\pi\)
−0.947116 + 0.320891i \(0.896018\pi\)
\(654\) 33.0789 + 3.66463i 1.29349 + 0.143298i
\(655\) −4.69369 3.01645i −0.183398 0.117862i
\(656\) −3.68029 13.1615i −0.143691 0.513872i
\(657\) 1.49736 1.72804i 0.0584175 0.0674174i
\(658\) −0.552729 + 0.181982i −0.0215476 + 0.00709440i
\(659\) −13.7454 + 1.97629i −0.535444 + 0.0769852i −0.404732 0.914435i \(-0.632635\pi\)
−0.130711 + 0.991420i \(0.541726\pi\)
\(660\) 0.276621 + 0.756563i 0.0107675 + 0.0294492i
\(661\) −13.9877 30.6287i −0.544058 1.19132i −0.959502 0.281702i \(-0.909101\pi\)
0.415444 0.909619i \(-0.363626\pi\)
\(662\) −6.87434 5.57647i −0.267179 0.216736i
\(663\) 5.44663 11.9265i 0.211530 0.463185i
\(664\) −28.7315 + 2.80720i −1.11500 + 0.108941i
\(665\) 0.0653655 + 0.101711i 0.00253477 + 0.00394417i
\(666\) 17.4828 + 25.3546i 0.677443 + 0.982472i
\(667\) 15.8137 15.3962i 0.612309 0.596143i
\(668\) −19.0274 7.23742i −0.736193 0.280024i
\(669\) −14.5880 22.6993i −0.564003 0.877606i
\(670\) 0.978864 + 1.97143i 0.0378168 + 0.0761628i
\(671\) 1.44599 + 0.660363i 0.0558219 + 0.0254930i
\(672\) −1.47503 9.00689i −0.0569005 0.347448i
\(673\) −6.77535 14.8359i −0.261171 0.571884i 0.732935 0.680298i \(-0.238150\pi\)
−0.994106 + 0.108415i \(0.965423\pi\)
\(674\) −9.04261 2.33917i −0.348308 0.0901015i
\(675\) −0.303601 2.11159i −0.0116856 0.0812753i
\(676\) −32.5446 + 42.8932i −1.25171 + 1.64974i
\(677\) 19.8781 22.9405i 0.763976 0.881675i −0.231869 0.972747i \(-0.574484\pi\)
0.995844 + 0.0910722i \(0.0290294\pi\)
\(678\) −59.4871 + 1.93194i −2.28459 + 0.0741957i
\(679\) 6.96268 10.8341i 0.267203 0.415776i
\(680\) 2.32393 + 1.19162i 0.0891186 + 0.0456964i
\(681\) 6.14257 20.9197i 0.235384 0.801643i
\(682\) 1.12313 1.03891i 0.0430069 0.0397819i
\(683\) 0.0840754 + 0.0970282i 0.00321706 + 0.00371268i 0.757356 0.653002i \(-0.226491\pi\)
−0.754139 + 0.656715i \(0.771945\pi\)
\(684\) 0.0448187 + 0.689288i 0.00171369 + 0.0263556i
\(685\) 0.268223 + 0.913482i 0.0102483 + 0.0349024i
\(686\) −13.4808 + 2.38721i −0.514701 + 0.0911442i
\(687\) 5.88135 40.9057i 0.224388 1.56065i
\(688\) 0.494201 3.14757i 0.0188412 0.120000i
\(689\) 26.1481i 0.996165i
\(690\) −1.37739 15.1802i −0.0524364 0.577900i
\(691\) −4.48496 −0.170616 −0.0853079 0.996355i \(-0.527187\pi\)
−0.0853079 + 0.996355i \(0.527187\pi\)
\(692\) −36.6837 + 7.73185i −1.39451 + 0.293921i
\(693\) −0.261170 0.0375506i −0.00992103 0.00142643i
\(694\) −22.2995 + 3.94883i −0.846476 + 0.149896i
\(695\) −20.6785 + 6.07175i −0.784379 + 0.230315i
\(696\) −22.9549 + 18.1337i −0.870105 + 0.687356i
\(697\) −2.38418 + 2.06590i −0.0903072 + 0.0782516i
\(698\) 15.1474 + 16.3754i 0.573338 + 0.619816i
\(699\) −41.3835 12.1513i −1.56527 0.459604i
\(700\) 0.679946 + 1.26461i 0.0256995 + 0.0477978i
\(701\) 41.7874 + 26.8552i 1.57829 + 1.01431i 0.976465 + 0.215677i \(0.0691958\pi\)
0.601825 + 0.798628i \(0.294441\pi\)
\(702\) −19.0520 + 0.618744i −0.719071 + 0.0233530i
\(703\) −1.35157 1.17114i −0.0509754 0.0441705i
\(704\) 0.277519 + 1.40663i 0.0104594 + 0.0530145i
\(705\) 1.27501 0.183318i 0.0480196 0.00690417i
\(706\) −5.97950 + 23.1152i −0.225042 + 0.869951i
\(707\) −1.83026 + 0.835851i −0.0688339 + 0.0314354i
\(708\) 2.85112 36.5401i 0.107152 1.37326i
\(709\) 4.54749 9.95762i 0.170785 0.373966i −0.804814 0.593527i \(-0.797735\pi\)
0.975599 + 0.219561i \(0.0704624\pi\)
\(710\) −6.01600 12.1162i −0.225777 0.454713i
\(711\) 10.3558 6.65526i 0.388372 0.249592i
\(712\) 4.76322 + 19.4478i 0.178509 + 0.728836i
\(713\) −25.5919 + 13.5330i −0.958423 + 0.506815i
\(714\) −1.73447 + 1.19596i −0.0649108 + 0.0447579i
\(715\) −0.952601 + 0.612199i −0.0356252 + 0.0228950i
\(716\) −2.42297 1.34346i −0.0905507 0.0502076i
\(717\) −10.2904 4.69948i −0.384303 0.175505i
\(718\) 21.8282 + 17.7070i 0.814619 + 0.660819i
\(719\) −20.8491 + 9.52149i −0.777542 + 0.355091i −0.764333 0.644821i \(-0.776932\pi\)
−0.0132085 + 0.999913i \(0.504205\pi\)
\(720\) −0.106136 + 8.20236i −0.00395544 + 0.305684i
\(721\) −0.592572 4.12143i −0.0220685 0.153490i
\(722\) 8.39050 + 25.4842i 0.312262 + 0.948425i
\(723\) 11.1845 + 9.69144i 0.415957 + 0.360429i
\(724\) 11.7026 8.64292i 0.434925 0.321211i
\(725\) 2.48806 3.87150i 0.0924043 0.143784i
\(726\) −34.6471 3.83836i −1.28588 0.142455i
\(727\) −8.50035 2.49593i −0.315260 0.0925688i 0.120274 0.992741i \(-0.461623\pi\)
−0.435535 + 0.900172i \(0.643441\pi\)
\(728\) 11.9001 4.79444i 0.441048 0.177694i
\(729\) 5.28203 + 6.09579i 0.195631 + 0.225770i
\(730\) −0.808976 + 1.35346i −0.0299416 + 0.0500938i
\(731\) −0.705687 + 0.207209i −0.0261008 + 0.00766388i
\(732\) 28.0081 + 28.3728i 1.03521 + 1.04869i
\(733\) 1.19865 8.33676i 0.0442730 0.307925i −0.955638 0.294545i \(-0.904832\pi\)
0.999910 0.0133799i \(-0.00425909\pi\)
\(734\) −6.60022 2.75895i −0.243619 0.101835i
\(735\) 14.5734 0.537550
\(736\) 1.76894 27.0716i 0.0652040 0.997872i
\(737\) 0.278934 0.0102747
\(738\) −9.14230 3.82156i −0.336533 0.140674i
\(739\) 0.554734 3.85826i 0.0204062 0.141928i −0.977071 0.212913i \(-0.931705\pi\)
0.997477 + 0.0709844i \(0.0226141\pi\)
\(740\) −14.9203 15.1146i −0.548480 0.555623i
\(741\) −2.29453 + 0.673734i −0.0842915 + 0.0247502i
\(742\) 2.15567 3.60655i 0.0791371 0.132401i
\(743\) −15.1611 17.4968i −0.556207 0.641897i 0.406111 0.913824i \(-0.366885\pi\)
−0.962318 + 0.271927i \(0.912339\pi\)
\(744\) 35.5911 14.3393i 1.30483 0.525703i
\(745\) 9.69445 + 2.84655i 0.355177 + 0.104289i
\(746\) −35.6899 3.95388i −1.30670 0.144762i
\(747\) −11.3162 + 17.6083i −0.414038 + 0.644255i
\(748\) 0.266227 0.196620i 0.00973422 0.00718915i
\(749\) 2.12547 + 1.84173i 0.0776631 + 0.0672954i
\(750\) −0.993943 3.01887i −0.0362936 0.110234i
\(751\) 3.95497 + 27.5074i 0.144319 + 1.00376i 0.925308 + 0.379216i \(0.123806\pi\)
−0.780990 + 0.624544i \(0.785285\pi\)
\(752\) 2.29246 + 0.0296636i 0.0835973 + 0.00108172i
\(753\) 29.9332 13.6700i 1.09083 0.498164i
\(754\) −31.9353 25.9059i −1.16301 0.943437i
\(755\) −1.63333 0.745917i −0.0594430 0.0271467i
\(756\) 2.67881 + 1.48532i 0.0974273 + 0.0540205i
\(757\) 32.5275 20.9041i 1.18223 0.759774i 0.206436 0.978460i \(-0.433813\pi\)
0.975795 + 0.218686i \(0.0701771\pi\)
\(758\) −22.4909 + 15.5081i −0.816906 + 0.563280i
\(759\) −1.80065 0.699186i −0.0653596 0.0253788i
\(760\) −0.113317 0.462664i −0.00411046 0.0167826i
\(761\) −26.3198 + 16.9147i −0.954093 + 0.613158i −0.922357 0.386338i \(-0.873740\pi\)
−0.0317357 + 0.999496i \(0.510103\pi\)
\(762\) 23.3013 + 46.9286i 0.844116 + 1.70005i
\(763\) 3.12289 6.83819i 0.113056 0.247559i
\(764\) −0.991355 + 12.7053i −0.0358660 + 0.459660i
\(765\) 1.72245 0.786618i 0.0622754 0.0284402i
\(766\) 8.64043 33.4016i 0.312191 1.20685i
\(767\) 50.9961 7.33214i 1.84136 0.264748i
\(768\) −6.03663 + 35.4479i −0.217828 + 1.27912i
\(769\) −3.83319 3.32148i −0.138228 0.119775i 0.583002 0.812470i \(-0.301878\pi\)
−0.721231 + 0.692695i \(0.756423\pi\)
\(770\) 0.181860 0.00590620i 0.00655378 0.000212845i
\(771\) −57.8023 37.1473i −2.08170 1.33783i
\(772\) 6.88968 + 12.8139i 0.247965 + 0.461183i
\(773\) −29.9423 8.79186i −1.07695 0.316221i −0.305292 0.952259i \(-0.598754\pi\)
−0.771658 + 0.636037i \(0.780572\pi\)
\(774\) −1.56868 1.69585i −0.0563850 0.0609560i
\(775\) −4.56203 + 3.95302i −0.163873 + 0.141997i
\(776\) −39.8148 + 31.4524i −1.42927 + 1.12908i
\(777\) 16.4391 4.82695i 0.589749 0.173166i
\(778\) 46.4586 8.22697i 1.66562 0.294951i
\(779\) 0.569538 + 0.0818872i 0.0204058 + 0.00293391i
\(780\) −27.7889 + 5.85708i −0.995002 + 0.209717i
\(781\) −1.71430 −0.0613425
\(782\) −5.82477 + 2.30010i −0.208293 + 0.0822516i
\(783\) 9.81761i 0.350853i
\(784\) 25.6245 + 4.02331i 0.915161 + 0.143689i
\(785\) 1.55028 10.7824i 0.0553317 0.384841i
\(786\) −17.4613 + 3.09207i −0.622823 + 0.110291i
\(787\) 5.71943 + 19.4786i 0.203876 + 0.694337i 0.996421 + 0.0845245i \(0.0269371\pi\)
−0.792546 + 0.609813i \(0.791245\pi\)
\(788\) −2.12549 32.6889i −0.0757175 1.16449i
\(789\) 22.6727 + 26.1656i 0.807168 + 0.931521i
\(790\) −6.23172 + 5.76442i −0.221715 + 0.205089i
\(791\) −3.78760 + 12.8994i −0.134671 + 0.458649i
\(792\) 0.925028 + 0.474317i 0.0328694 + 0.0168541i
\(793\) −30.2990 + 47.1461i −1.07595 + 1.67421i
\(794\) 30.1604 0.979507i 1.07035 0.0347614i
\(795\) −6.09070 + 7.02904i −0.216015 + 0.249294i
\(796\) −15.4634 + 20.3805i −0.548086 + 0.722368i
\(797\) 0.908337 + 6.31762i 0.0321750 + 0.223782i 0.999564 0.0295118i \(-0.00939525\pi\)
−0.967389 + 0.253294i \(0.918486\pi\)
\(798\) 0.372022 + 0.0962357i 0.0131694 + 0.00340671i
\(799\) −0.219850 0.481404i −0.00777773 0.0170308i
\(800\) −0.914227 5.58249i −0.0323228 0.197371i
\(801\) 13.2055 + 6.03077i 0.466595 + 0.213087i
\(802\) 13.1238 + 26.4312i 0.463416 + 0.933318i
\(803\) 0.108032 + 0.168101i 0.00381237 + 0.00593217i
\(804\) 6.53860 + 2.48707i 0.230599 + 0.0877124i
\(805\) −3.35419 0.776790i −0.118220 0.0273783i
\(806\) 30.6187 + 44.4053i 1.07850 + 1.56411i
\(807\) 18.9020 + 29.4121i 0.665382 + 1.03535i
\(808\) 7.88969 0.770860i 0.277558 0.0271188i
\(809\) 9.39922 20.5814i 0.330459 0.723604i −0.669354 0.742944i \(-0.733429\pi\)
0.999813 + 0.0193395i \(0.00615634\pi\)
\(810\) −12.0226 9.75274i −0.422431 0.342676i
\(811\) −5.05490 11.0687i −0.177502 0.388675i 0.799879 0.600161i \(-0.204897\pi\)
−0.977381 + 0.211487i \(0.932170\pi\)
\(812\) 2.26906 + 6.20590i 0.0796283 + 0.217784i
\(813\) 51.8119 7.44942i 1.81712 0.261263i
\(814\) −2.55646 + 0.841695i −0.0896038 + 0.0295014i
\(815\) −2.77147 + 3.19845i −0.0970804 + 0.112037i
\(816\) 7.99387 2.23528i 0.279841 0.0782505i
\(817\) 0.112850 + 0.0725245i 0.00394813 + 0.00253731i
\(818\) 19.7772 + 2.19101i 0.691494 + 0.0766068i
\(819\) 2.62073 8.92538i 0.0915756 0.311878i
\(820\) 6.66751 + 1.49567i 0.232839 + 0.0522310i
\(821\) −6.63990 + 5.75351i −0.231734 + 0.200799i −0.762986 0.646415i \(-0.776267\pi\)
0.531252 + 0.847214i \(0.321722\pi\)
\(822\) 2.59729 + 1.55243i 0.0905910 + 0.0541471i
\(823\) 8.07179 + 27.4900i 0.281365 + 0.958241i 0.971989 + 0.235027i \(0.0755178\pi\)
−0.690624 + 0.723214i \(0.742664\pi\)
\(824\) −3.06923 + 16.1150i −0.106922 + 0.561393i
\(825\) −0.398674 0.0573207i −0.0138801 0.00199565i
\(826\) −7.63824 3.19285i −0.265769 0.111093i
\(827\) 50.9764i 1.77262i 0.463088 + 0.886312i \(0.346741\pi\)
−0.463088 + 0.886312i \(0.653259\pi\)
\(828\) −14.6072 13.1737i −0.507636 0.457819i
\(829\) 7.35340i 0.255394i −0.991813 0.127697i \(-0.959241\pi\)
0.991813 0.127697i \(-0.0407585\pi\)
\(830\) 5.56682 13.3175i 0.193227 0.462256i
\(831\) 23.5717 + 3.38910i 0.817693 + 0.117567i
\(832\) −50.4782 + 2.62680i −1.75002 + 0.0910680i
\(833\) −1.68689 5.74502i −0.0584473 0.199053i
\(834\) −35.1422 + 58.7948i −1.21688 + 2.03590i
\(835\) 7.69254 6.66562i 0.266211 0.230673i
\(836\) −0.0589011 0.0132128i −0.00203714 0.000456975i
\(837\) −3.62803 + 12.3559i −0.125403 + 0.427084i
\(838\) −4.25878 + 38.4420i −0.147117 + 1.32796i
\(839\) 31.3949 + 20.1763i 1.08387 + 0.696562i 0.955449 0.295157i \(-0.0953721\pi\)
0.128423 + 0.991719i \(0.459008\pi\)
\(840\) 4.31572 + 1.48308i 0.148906 + 0.0511711i
\(841\) −5.12168 + 5.91073i −0.176610 + 0.203818i
\(842\) −11.0652 33.6079i −0.381330 1.15820i
\(843\) 63.9552 9.19537i 2.20273 0.316705i
\(844\) −17.8803 + 6.53754i −0.615464 + 0.225031i
\(845\) −11.1834 24.4883i −0.384721 0.842422i
\(846\) 1.04722 1.29095i 0.0360042 0.0443838i
\(847\) −3.27095 + 7.16237i −0.112391 + 0.246102i
\(848\) −12.6498 + 10.6777i −0.434396 + 0.366674i
\(849\) 37.3124 + 58.0592i 1.28056 + 1.99259i
\(850\) −1.07503 + 0.741262i −0.0368731 + 0.0254251i
\(851\) 50.8419 2.95332i 1.74284 0.101239i
\(852\) −40.1856 15.2853i −1.37674 0.523667i
\(853\) −0.732709 1.14012i −0.0250875 0.0390369i 0.828483 0.560014i \(-0.189204\pi\)
−0.853571 + 0.520977i \(0.825568\pi\)
\(854\) 8.06582 4.00488i 0.276007 0.137044i
\(855\) −0.314161 0.143473i −0.0107441 0.00490666i
\(856\) −5.56124 9.58369i −0.190079 0.327564i
\(857\) 9.23741 + 20.2271i 0.315544 + 0.690944i 0.999246 0.0388163i \(-0.0123587\pi\)
−0.683703 + 0.729761i \(0.739631\pi\)
\(858\) −0.901322 + 3.48427i −0.0307706 + 0.118951i
\(859\) −7.41435 51.5680i −0.252974 1.75948i −0.580147 0.814512i \(-0.697005\pi\)
0.327173 0.944964i \(-0.393904\pi\)
\(860\) 1.26911 + 0.962921i 0.0432764 + 0.0328353i
\(861\) −3.60986 + 4.16600i −0.123024 + 0.141977i
\(862\) 1.37628 + 42.3776i 0.0468763 + 1.44339i
\(863\) 9.02337 14.0406i 0.307159 0.477949i −0.653017 0.757343i \(-0.726497\pi\)
0.960177 + 0.279394i \(0.0901335\pi\)
\(864\) −8.07930 8.96420i −0.274863 0.304968i
\(865\) 5.28103 17.9856i 0.179561 0.611527i
\(866\) −11.7713 12.7256i −0.400006 0.432433i
\(867\) 23.7646 + 27.4258i 0.807088 + 0.931430i
\(868\) −0.562369 8.64894i −0.0190881 0.293564i
\(869\) 0.303082 + 1.03220i 0.0102814 + 0.0350151i
\(870\) −2.55044 14.4026i −0.0864680 0.488294i
\(871\) −1.39949 + 9.73366i −0.0474199 + 0.329813i
\(872\) −20.3915 + 21.4802i −0.690542 + 0.727411i
\(873\) 36.7887i 1.24511i
\(874\) 1.01277 + 0.528174i 0.0342575 + 0.0178657i
\(875\) −0.717907 −0.0242697
\(876\) 1.03357 + 4.90379i 0.0349212 + 0.165684i
\(877\) 35.1933 + 5.06003i 1.18839 + 0.170865i 0.708015 0.706197i \(-0.249591\pi\)
0.480377 + 0.877062i \(0.340500\pi\)
\(878\) 6.85266 + 38.6977i 0.231266 + 1.30598i
\(879\) 26.8646 7.88817i 0.906122 0.266061i
\(880\) −0.685165 0.210849i −0.0230969 0.00710773i
\(881\) 11.4607 9.93075i 0.386120 0.334575i −0.440073 0.897962i \(-0.645047\pi\)
0.826193 + 0.563387i \(0.190502\pi\)
\(882\) 13.8060 12.7707i 0.464871 0.430011i
\(883\) −19.4427 5.70889i −0.654299 0.192120i −0.0622992 0.998058i \(-0.519843\pi\)
−0.592000 + 0.805938i \(0.701661\pi\)
\(884\) 5.52552 + 10.2767i 0.185843 + 0.345644i
\(885\) 15.4165 + 9.90756i 0.518219 + 0.333039i
\(886\) 1.69805 + 52.2855i 0.0570472 + 1.75656i
\(887\) −9.93809 8.61141i −0.333689 0.289143i 0.471859 0.881674i \(-0.343583\pi\)
−0.805547 + 0.592531i \(0.798129\pi\)
\(888\) −67.4318 3.06379i −2.26286 0.102814i
\(889\) 11.7145 1.68429i 0.392891 0.0564891i
\(890\) −9.69226 2.50722i −0.324885 0.0840423i
\(891\) −1.78456 + 0.814979i −0.0597849 + 0.0273028i
\(892\) 23.9397 + 1.86795i 0.801561 + 0.0625435i
\(893\) −0.0400988 + 0.0878041i −0.00134185 + 0.00293825i
\(894\) 28.7622 14.2812i 0.961952 0.477634i
\(895\) 1.16535 0.748924i 0.0389533 0.0250338i
\(896\) 7.17889 + 3.79915i 0.239830 + 0.126921i
\(897\) 33.4332 59.3275i 1.11630 1.98089i
\(898\) −11.1858 16.2223i −0.373273 0.541345i
\(899\) −23.3701 + 15.0190i −0.779435 + 0.500913i
\(900\) −3.58703 1.98890i −0.119568 0.0662966i
\(901\) 3.47593 + 1.58741i 0.115800 + 0.0528842i
\(902\) 0.545534 0.672503i 0.0181643 0.0223919i
\(903\) −1.16901 + 0.533867i −0.0389021 + 0.0177660i
\(904\) 30.6289 43.2128i 1.01870 1.43724i
\(905\) 1.03522 + 7.20009i 0.0344117 + 0.239339i
\(906\) −5.42067 + 1.78472i −0.180090 + 0.0592933i
\(907\) −10.6227 9.20466i −0.352722 0.305636i 0.460419 0.887702i \(-0.347699\pi\)
−0.813142 + 0.582066i \(0.802245\pi\)
\(908\) 11.5269 + 15.6076i 0.382535 + 0.517958i
\(909\) 3.10744 4.83527i 0.103067 0.160376i
\(910\) −0.706341 + 6.37581i −0.0234150 + 0.211356i
\(911\) −41.7918 12.2712i −1.38462 0.406562i −0.497247 0.867609i \(-0.665656\pi\)
−0.887376 + 0.461047i \(0.847474\pi\)
\(912\) −1.26291 0.834910i −0.0418193 0.0276466i
\(913\) −1.19786 1.38241i −0.0396435 0.0457511i
\(914\) −28.0406 16.7601i −0.927500 0.554376i
\(915\) −19.1266 + 5.61608i −0.632306 + 0.185662i
\(916\) 25.8366 + 26.1731i 0.853666 + 0.864783i
\(917\) −0.570041 + 3.96472i −0.0188244 + 0.130927i
\(918\) −1.07436 + 2.57019i −0.0354592 + 0.0848290i
\(919\) 31.7866 1.04854 0.524271 0.851551i \(-0.324338\pi\)
0.524271 + 0.851551i \(0.324338\pi\)
\(920\) 11.5030 + 7.18903i 0.379241 + 0.237015i
\(921\) −8.12313 −0.267666
\(922\) 7.20978 17.2479i 0.237441 0.568030i
\(923\) 8.60113 59.8222i 0.283110 1.96907i
\(924\) 0.411563 0.406272i 0.0135394 0.0133654i
\(925\) 10.1890 2.99176i 0.335012 0.0983684i
\(926\) 32.1928 + 19.2419i 1.05792 + 0.632329i
\(927\) 7.78910 + 8.98910i 0.255828 + 0.295241i
\(928\) −0.508299 26.0282i −0.0166857 0.854419i
\(929\) 20.4343 + 6.00005i 0.670427 + 0.196855i 0.599193 0.800605i \(-0.295488\pi\)
0.0712338 + 0.997460i \(0.477306\pi\)
\(930\) −2.11253 + 19.0689i −0.0692727 + 0.625293i
\(931\) −0.590424 + 0.918718i −0.0193504 + 0.0301098i
\(932\) 30.8752 22.8027i 1.01135 0.746928i
\(933\) −30.9720 26.8374i −1.01398 0.878616i
\(934\) 47.0836 15.5019i 1.54062 0.507238i
\(935\) 0.0235505 + 0.163797i 0.000770182 + 0.00535673i
\(936\) −21.1929 + 29.9000i −0.692711 + 0.977311i
\(937\) −4.69791 + 2.14547i −0.153474 + 0.0700893i −0.490671 0.871345i \(-0.663248\pi\)
0.337197 + 0.941434i \(0.390521\pi\)
\(938\) 0.995478 1.22717i 0.0325035 0.0400684i
\(939\) 25.5697 + 11.6773i 0.834437 + 0.381075i
\(940\) −0.555872 + 1.00253i −0.0181306 + 0.0326989i
\(941\) −11.7352 + 7.54173i −0.382555 + 0.245853i −0.717758 0.696293i \(-0.754832\pi\)
0.335203 + 0.942146i \(0.391195\pi\)
\(942\) −19.6536 28.5030i −0.640350 0.928677i
\(943\) −13.2474 + 9.64310i −0.431395 + 0.314022i
\(944\) 24.3716 + 21.6765i 0.793228 + 0.705510i
\(945\) −1.28839 + 0.828001i −0.0419115 + 0.0269349i
\(946\) 0.180821 0.0897824i 0.00587901 0.00291908i
\(947\) 11.9554 26.1787i 0.388499 0.850694i −0.609809 0.792548i \(-0.708754\pi\)
0.998308 0.0581460i \(-0.0185189\pi\)
\(948\) −2.09883 + 26.8987i −0.0681667 + 0.873629i
\(949\) −6.40809 + 2.92648i −0.208015 + 0.0949974i
\(950\) 0.230580 + 0.0596471i 0.00748100 + 0.00193521i
\(951\) 7.21570 1.03746i 0.233985 0.0336420i
\(952\) 0.0850992 1.87297i 0.00275808 0.0607035i
\(953\) −1.87318 1.62312i −0.0606782 0.0525779i 0.623994 0.781429i \(-0.285509\pi\)
−0.684672 + 0.728851i \(0.740055\pi\)
\(954\) 0.389593 + 11.9961i 0.0126135 + 0.388389i
\(955\) −5.36042 3.44493i −0.173459 0.111475i
\(956\) 8.86700 4.76754i 0.286779 0.154193i
\(957\) −1.77851 0.522217i −0.0574910 0.0168809i
\(958\) 39.1316 36.1972i 1.26428 1.16948i
\(959\) 0.516541 0.447585i 0.0166800 0.0144533i
\(960\) −14.1812 11.0518i −0.457697 0.356695i
\(961\) 5.21824 1.53221i 0.168330 0.0494263i
\(962\) −16.5453 93.4331i −0.533442 3.01240i
\(963\) −7.95209 1.14334i −0.256253 0.0368436i
\(964\) −12.8870 + 2.71620i −0.415063 + 0.0874830i
\(965\) −7.27434 −0.234169
\(966\) −9.50236 + 5.42666i −0.305733 + 0.174600i
\(967\) 24.3653i 0.783536i 0.920064 + 0.391768i \(0.128136\pi\)
−0.920064 + 0.391768i \(0.871864\pi\)
\(968\) 21.3582 22.4985i 0.686478 0.723130i
\(969\) −0.0497355 + 0.345918i −0.00159773 + 0.0111125i
\(970\) −4.42368 24.9810i −0.142036 0.802091i
\(971\) 14.1018 + 48.0264i 0.452549 + 1.54124i 0.797913 + 0.602772i \(0.205937\pi\)
−0.345364 + 0.938469i \(0.612245\pi\)
\(972\) −36.3263 + 2.36200i −1.16517 + 0.0757612i
\(973\) 10.1320 + 11.6929i 0.324816 + 0.374858i
\(974\) 25.3683 + 27.4248i 0.812852 + 0.878747i
\(975\) 4.00052 13.6245i 0.128119 0.436334i
\(976\) −35.1808 + 4.59446i −1.12611 + 0.147065i
\(977\) 10.4839 16.3132i 0.335409 0.521907i −0.632052 0.774926i \(-0.717787\pi\)
0.967461 + 0.253019i \(0.0814235\pi\)
\(978\) 0.436613 + 13.4439i 0.0139613 + 0.429889i
\(979\) −0.830820 + 0.958818i −0.0265531 + 0.0306439i
\(980\) −7.83917 + 10.3319i −0.250413 + 0.330040i
\(981\) 3.05613 + 21.2559i 0.0975748 + 0.678648i
\(982\) −1.54749 + 5.98219i −0.0493825 + 0.190899i
\(983\) 10.4649 + 22.9148i 0.333777 + 0.730870i 0.999888 0.0149832i \(-0.00476948\pi\)
−0.666111 + 0.745853i \(0.732042\pi\)
\(984\) 18.7844 10.9002i 0.598824 0.347486i
\(985\) 14.8988 + 6.80407i 0.474717 + 0.216796i
\(986\) −5.38246 + 2.67253i −0.171413 + 0.0851107i
\(987\) −0.499958 0.777949i −0.0159138 0.0247624i
\(988\) 0.756597 1.98912i 0.0240706 0.0632823i
\(989\) −3.74327 + 0.762006i −0.119029 + 0.0242304i
\(990\) −0.427908 + 0.295055i −0.0135998 + 0.00937747i
\(991\) 18.3489 + 28.5514i 0.582871 + 0.906966i 0.999998 0.00188260i \(-0.000599250\pi\)
−0.417127 + 0.908848i \(0.636963\pi\)
\(992\) −8.97883 + 32.9456i −0.285078 + 1.04602i
\(993\) 5.84353 12.7955i 0.185439 0.406054i
\(994\) −6.11811 + 7.54205i −0.194055 + 0.239219i
\(995\) −5.31375 11.6355i −0.168457 0.368870i
\(996\) −15.7536 43.0862i −0.499171 1.36524i
\(997\) 41.8667 6.01952i 1.32593 0.190640i 0.557289 0.830319i \(-0.311842\pi\)
0.768642 + 0.639679i \(0.220933\pi\)
\(998\) 18.6805 + 56.7378i 0.591321 + 1.79600i
\(999\) 14.8351 17.1207i 0.469363 0.541674i
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 920.2.bb.a.11.7 480
8.3 odd 2 920.2.bb.b.11.25 yes 480
23.21 odd 22 920.2.bb.b.251.25 yes 480
184.67 even 22 inner 920.2.bb.a.251.7 yes 480
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
920.2.bb.a.11.7 480 1.1 even 1 trivial
920.2.bb.a.251.7 yes 480 184.67 even 22 inner
920.2.bb.b.11.25 yes 480 8.3 odd 2
920.2.bb.b.251.25 yes 480 23.21 odd 22