Properties

Label 966.2.y.d.25.4
Level $966$
Weight $2$
Character 966.25
Analytic conductor $7.714$
Analytic rank $0$
Dimension $160$
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] = [966,2,Mod(25,966)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(966, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([0, 44, 6]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("966.25");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 966.y (of order \(33\), degree \(20\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(7.71354883526\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(8\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 25.4
Character \(\chi\) \(=\) 966.25
Dual form 966.2.y.d.541.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.0475819 - 0.998867i) q^{2} +(0.928368 + 0.371662i) q^{3} +(-0.995472 - 0.0950560i) q^{4} +(-0.167957 - 0.692328i) q^{5} +(0.415415 - 0.909632i) q^{6} +(2.14841 - 1.54413i) q^{7} +(-0.142315 + 0.989821i) q^{8} +(0.723734 + 0.690079i) q^{9} +O(q^{10})\) \(q+(0.0475819 - 0.998867i) q^{2} +(0.928368 + 0.371662i) q^{3} +(-0.995472 - 0.0950560i) q^{4} +(-0.167957 - 0.692328i) q^{5} +(0.415415 - 0.909632i) q^{6} +(2.14841 - 1.54413i) q^{7} +(-0.142315 + 0.989821i) q^{8} +(0.723734 + 0.690079i) q^{9} +(-0.699536 + 0.134824i) q^{10} +(0.242982 + 5.10082i) q^{11} +(-0.888835 - 0.458227i) q^{12} +(2.81646 + 3.25036i) q^{13} +(-1.44016 - 2.21945i) q^{14} +(0.101386 - 0.705158i) q^{15} +(0.981929 + 0.189251i) q^{16} +(0.440832 + 0.619063i) q^{17} +(0.723734 - 0.690079i) q^{18} +(0.275423 - 0.386777i) q^{19} +(0.101386 + 0.705158i) q^{20} +(2.56841 - 0.635038i) q^{21} +5.10661 q^{22} +(3.41859 - 3.36352i) q^{23} +(-0.500000 + 0.866025i) q^{24} +(3.99307 - 2.05857i) q^{25} +(3.38069 - 2.65861i) q^{26} +(0.415415 + 0.909632i) q^{27} +(-2.28546 + 1.33292i) q^{28} +(-1.23166 + 2.69697i) q^{29} +(-0.699536 - 0.134824i) q^{30} +(1.00579 + 0.790961i) q^{31} +(0.235759 - 0.971812i) q^{32} +(-1.67021 + 4.82575i) q^{33} +(0.639337 - 0.410877i) q^{34} +(-1.42989 - 1.22806i) q^{35} +(-0.654861 - 0.755750i) q^{36} +(-8.16843 - 7.78859i) q^{37} +(-0.373234 - 0.293514i) q^{38} +(1.40667 + 4.06430i) q^{39} +(0.709184 - 0.0677189i) q^{40} +(0.779248 + 0.228808i) q^{41} +(-0.512109 - 2.59572i) q^{42} +(-0.0797323 - 0.554551i) q^{43} +(0.242982 - 5.10082i) q^{44} +(0.356205 - 0.616965i) q^{45} +(-3.19705 - 3.57476i) q^{46} +(-0.692745 - 1.19987i) q^{47} +(0.841254 + 0.540641i) q^{48} +(2.23132 - 6.63485i) q^{49} +(-1.86624 - 4.08650i) q^{50} +(0.179172 + 0.738559i) q^{51} +(-2.49474 - 3.50337i) q^{52} +(2.35228 + 6.79646i) q^{53} +(0.928368 - 0.371662i) q^{54} +(3.49063 - 1.02494i) q^{55} +(1.22266 + 2.34629i) q^{56} +(0.399444 - 0.256707i) q^{57} +(2.63531 + 1.35860i) q^{58} +(0.0838234 - 0.0161556i) q^{59} +(-0.167957 + 0.692328i) q^{60} +(9.54335 - 3.82058i) q^{61} +(0.837923 - 0.967015i) q^{62} +(2.62045 + 0.365032i) q^{63} +(-0.959493 - 0.281733i) q^{64} +(1.77727 - 2.49583i) q^{65} +(4.74081 + 1.89793i) q^{66} +(0.644313 - 0.332167i) q^{67} +(-0.379991 - 0.658163i) q^{68} +(4.42380 - 1.85202i) q^{69} +(-1.29470 + 1.36983i) q^{70} +(2.95671 + 1.90016i) q^{71} +(-0.786053 + 0.618159i) q^{72} +(-1.57222 - 0.150129i) q^{73} +(-8.16843 + 7.78859i) q^{74} +(4.47213 - 0.427037i) q^{75} +(-0.310941 + 0.358845i) q^{76} +(8.39836 + 10.5835i) q^{77} +(4.12663 - 1.21169i) q^{78} +(3.28055 - 9.47854i) q^{79} +(-0.0338978 - 0.711603i) q^{80} +(0.0475819 + 0.998867i) q^{81} +(0.265627 - 0.767478i) q^{82} +(-15.7783 + 4.63294i) q^{83} +(-2.61714 + 0.388020i) q^{84} +(0.354553 - 0.409177i) q^{85} +(-0.557716 + 0.0532554i) q^{86} +(-2.14580 + 2.04602i) q^{87} +(-5.08348 - 0.485414i) q^{88} +(5.45011 - 4.28601i) q^{89} +(-0.599317 - 0.385158i) q^{90} +(11.0699 + 2.63413i) q^{91} +(-3.72283 + 3.02333i) q^{92} +(0.639772 + 1.10812i) q^{93} +(-1.23147 + 0.634868i) q^{94} +(-0.314036 - 0.125721i) q^{95} +(0.580057 - 0.814576i) q^{96} +(-10.9517 - 3.21569i) q^{97} +(-6.52116 - 2.54449i) q^{98} +(-3.34412 + 3.85932i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160 q + 8 q^{2} + 8 q^{3} + 8 q^{4} - 2 q^{5} - 16 q^{6} + 6 q^{7} - 16 q^{8} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 160 q + 8 q^{2} + 8 q^{3} + 8 q^{4} - 2 q^{5} - 16 q^{6} + 6 q^{7} - 16 q^{8} + 8 q^{9} - 2 q^{10} - 4 q^{11} + 8 q^{12} - 4 q^{13} + 5 q^{14} + 26 q^{15} + 8 q^{16} - 13 q^{17} + 8 q^{18} + 4 q^{19} + 26 q^{20} + 11 q^{21} - 124 q^{22} + 26 q^{23} - 80 q^{24} + 14 q^{25} + 2 q^{26} - 16 q^{27} - 22 q^{28} + 54 q^{29} - 2 q^{30} + 15 q^{31} + 8 q^{32} - 4 q^{33} + 4 q^{34} - 2 q^{35} - 16 q^{36} + 7 q^{37} - 7 q^{38} + 2 q^{39} + 9 q^{40} - 30 q^{41} + 6 q^{42} + 36 q^{43} - 4 q^{44} + 20 q^{45} + 4 q^{46} - 6 q^{47} - 16 q^{48} + 14 q^{49} - 28 q^{50} + 9 q^{51} + 2 q^{52} - 24 q^{53} + 8 q^{54} - 14 q^{55} + 6 q^{56} - 30 q^{57} - 5 q^{58} + 4 q^{59} - 2 q^{60} + 32 q^{61} - 8 q^{62} - 6 q^{63} - 16 q^{64} + 38 q^{65} - 4 q^{66} + 6 q^{67} + 42 q^{68} - 30 q^{69} - 8 q^{70} - 180 q^{71} + 8 q^{72} - 32 q^{73} + 7 q^{74} + 14 q^{75} - 8 q^{76} + 61 q^{77} + 18 q^{78} - 66 q^{79} - 2 q^{80} + 8 q^{81} - 7 q^{82} + 130 q^{83} + 5 q^{84} - 70 q^{85} - 40 q^{86} + 6 q^{87} - 15 q^{88} - 4 q^{89} + 4 q^{90} - 6 q^{91} + 58 q^{92} - 18 q^{93} + 16 q^{94} + 19 q^{95} + 8 q^{96} + 40 q^{97} + 43 q^{98} + 8 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0475819 0.998867i 0.0336455 0.706306i
\(3\) 0.928368 + 0.371662i 0.535993 + 0.214579i
\(4\) −0.995472 0.0950560i −0.497736 0.0475280i
\(5\) −0.167957 0.692328i −0.0751126 0.309619i 0.921845 0.387558i \(-0.126681\pi\)
−0.996958 + 0.0779391i \(0.975166\pi\)
\(6\) 0.415415 0.909632i 0.169592 0.371356i
\(7\) 2.14841 1.54413i 0.812022 0.583627i
\(8\) −0.142315 + 0.989821i −0.0503159 + 0.349955i
\(9\) 0.723734 + 0.690079i 0.241245 + 0.230026i
\(10\) −0.699536 + 0.134824i −0.221213 + 0.0426352i
\(11\) 0.242982 + 5.10082i 0.0732619 + 1.53796i 0.674133 + 0.738610i \(0.264518\pi\)
−0.600871 + 0.799346i \(0.705179\pi\)
\(12\) −0.888835 0.458227i −0.256585 0.132279i
\(13\) 2.81646 + 3.25036i 0.781144 + 0.901489i 0.997191 0.0748943i \(-0.0238619\pi\)
−0.216047 + 0.976383i \(0.569316\pi\)
\(14\) −1.44016 2.21945i −0.384898 0.593172i
\(15\) 0.101386 0.705158i 0.0261779 0.182071i
\(16\) 0.981929 + 0.189251i 0.245482 + 0.0473128i
\(17\) 0.440832 + 0.619063i 0.106918 + 0.150145i 0.864568 0.502516i \(-0.167592\pi\)
−0.757650 + 0.652661i \(0.773653\pi\)
\(18\) 0.723734 0.690079i 0.170586 0.162653i
\(19\) 0.275423 0.386777i 0.0631863 0.0887327i −0.781774 0.623562i \(-0.785685\pi\)
0.844960 + 0.534830i \(0.179624\pi\)
\(20\) 0.101386 + 0.705158i 0.0226707 + 0.157678i
\(21\) 2.56841 0.635038i 0.560473 0.138577i
\(22\) 5.10661 1.08873
\(23\) 3.41859 3.36352i 0.712825 0.701342i
\(24\) −0.500000 + 0.866025i −0.102062 + 0.176777i
\(25\) 3.99307 2.05857i 0.798614 0.411714i
\(26\) 3.38069 2.65861i 0.663009 0.521396i
\(27\) 0.415415 + 0.909632i 0.0799467 + 0.175059i
\(28\) −2.28546 + 1.33292i −0.431911 + 0.251898i
\(29\) −1.23166 + 2.69697i −0.228714 + 0.500814i −0.988844 0.148957i \(-0.952408\pi\)
0.760129 + 0.649772i \(0.225136\pi\)
\(30\) −0.699536 0.134824i −0.127717 0.0246155i
\(31\) 1.00579 + 0.790961i 0.180645 + 0.142061i 0.704387 0.709816i \(-0.251222\pi\)
−0.523742 + 0.851877i \(0.675464\pi\)
\(32\) 0.235759 0.971812i 0.0416767 0.171794i
\(33\) −1.67021 + 4.82575i −0.290746 + 0.840055i
\(34\) 0.639337 0.410877i 0.109645 0.0704648i
\(35\) −1.42989 1.22806i −0.241695 0.207579i
\(36\) −0.654861 0.755750i −0.109143 0.125958i
\(37\) −8.16843 7.78859i −1.34288 1.28044i −0.928988 0.370111i \(-0.879320\pi\)
−0.413895 0.910325i \(-0.635832\pi\)
\(38\) −0.373234 0.293514i −0.0605465 0.0476143i
\(39\) 1.40667 + 4.06430i 0.225247 + 0.650810i
\(40\) 0.709184 0.0677189i 0.112132 0.0107073i
\(41\) 0.779248 + 0.228808i 0.121698 + 0.0357338i 0.342014 0.939695i \(-0.388891\pi\)
−0.220316 + 0.975428i \(0.570709\pi\)
\(42\) −0.512109 2.59572i −0.0790202 0.400528i
\(43\) −0.0797323 0.554551i −0.0121591 0.0845682i 0.982838 0.184469i \(-0.0590565\pi\)
−0.994997 + 0.0999008i \(0.968147\pi\)
\(44\) 0.242982 5.10082i 0.0366309 0.768978i
\(45\) 0.356205 0.616965i 0.0530999 0.0919717i
\(46\) −3.19705 3.57476i −0.471379 0.527069i
\(47\) −0.692745 1.19987i −0.101047 0.175019i 0.811069 0.584950i \(-0.198886\pi\)
−0.912116 + 0.409931i \(0.865553\pi\)
\(48\) 0.841254 + 0.540641i 0.121424 + 0.0780348i
\(49\) 2.23132 6.63485i 0.318760 0.947835i
\(50\) −1.86624 4.08650i −0.263926 0.577918i
\(51\) 0.179172 + 0.738559i 0.0250892 + 0.103419i
\(52\) −2.49474 3.50337i −0.345958 0.485830i
\(53\) 2.35228 + 6.79646i 0.323110 + 0.933566i 0.983224 + 0.182401i \(0.0583868\pi\)
−0.660114 + 0.751166i \(0.729492\pi\)
\(54\) 0.928368 0.371662i 0.126335 0.0505769i
\(55\) 3.49063 1.02494i 0.470677 0.138203i
\(56\) 1.22266 + 2.34629i 0.163385 + 0.313537i
\(57\) 0.399444 0.256707i 0.0529076 0.0340017i
\(58\) 2.63531 + 1.35860i 0.346033 + 0.178392i
\(59\) 0.0838234 0.0161556i 0.0109129 0.00210328i −0.183792 0.982965i \(-0.558837\pi\)
0.194705 + 0.980862i \(0.437625\pi\)
\(60\) −0.167957 + 0.692328i −0.0216832 + 0.0893792i
\(61\) 9.54335 3.82058i 1.22190 0.489175i 0.331111 0.943592i \(-0.392577\pi\)
0.890789 + 0.454417i \(0.150152\pi\)
\(62\) 0.837923 0.967015i 0.106416 0.122811i
\(63\) 2.62045 + 0.365032i 0.330146 + 0.0459897i
\(64\) −0.959493 0.281733i −0.119937 0.0352166i
\(65\) 1.77727 2.49583i 0.220444 0.309570i
\(66\) 4.74081 + 1.89793i 0.583553 + 0.233620i
\(67\) 0.644313 0.332167i 0.0787154 0.0405806i −0.418419 0.908254i \(-0.637416\pi\)
0.497135 + 0.867673i \(0.334385\pi\)
\(68\) −0.379991 0.658163i −0.0460806 0.0798140i
\(69\) 4.42380 1.85202i 0.532563 0.222957i
\(70\) −1.29470 + 1.36983i −0.154746 + 0.163726i
\(71\) 2.95671 + 1.90016i 0.350897 + 0.225508i 0.704201 0.710001i \(-0.251305\pi\)
−0.353304 + 0.935509i \(0.614942\pi\)
\(72\) −0.786053 + 0.618159i −0.0926372 + 0.0728507i
\(73\) −1.57222 0.150129i −0.184015 0.0175713i 0.00264184 0.999997i \(-0.499159\pi\)
−0.186656 + 0.982425i \(0.559765\pi\)
\(74\) −8.16843 + 7.78859i −0.949561 + 0.905405i
\(75\) 4.47213 0.427037i 0.516397 0.0493099i
\(76\) −0.310941 + 0.358845i −0.0356674 + 0.0411623i
\(77\) 8.39836 + 10.5835i 0.957082 + 1.20610i
\(78\) 4.12663 1.21169i 0.467249 0.137197i
\(79\) 3.28055 9.47854i 0.369091 1.06642i −0.595656 0.803240i \(-0.703108\pi\)
0.964747 0.263179i \(-0.0847710\pi\)
\(80\) −0.0338978 0.711603i −0.00378989 0.0795596i
\(81\) 0.0475819 + 0.998867i 0.00528688 + 0.110985i
\(82\) 0.265627 0.767478i 0.0293336 0.0847538i
\(83\) −15.7783 + 4.63294i −1.73190 + 0.508531i −0.987284 0.158964i \(-0.949185\pi\)
−0.744614 + 0.667495i \(0.767366\pi\)
\(84\) −2.61714 + 0.388020i −0.285554 + 0.0423365i
\(85\) 0.354553 0.409177i 0.0384567 0.0443814i
\(86\) −0.557716 + 0.0532554i −0.0601401 + 0.00574268i
\(87\) −2.14580 + 2.04602i −0.230054 + 0.219356i
\(88\) −5.08348 0.485414i −0.541901 0.0517453i
\(89\) 5.45011 4.28601i 0.577710 0.454316i −0.286053 0.958214i \(-0.592343\pi\)
0.863764 + 0.503897i \(0.168101\pi\)
\(90\) −0.599317 0.385158i −0.0631736 0.0405992i
\(91\) 11.0699 + 2.63413i 1.16044 + 0.276132i
\(92\) −3.72283 + 3.02333i −0.388132 + 0.315204i
\(93\) 0.639772 + 1.10812i 0.0663412 + 0.114906i
\(94\) −1.23147 + 0.634868i −0.127017 + 0.0654816i
\(95\) −0.314036 0.125721i −0.0322194 0.0128987i
\(96\) 0.580057 0.814576i 0.0592018 0.0831373i
\(97\) −10.9517 3.21569i −1.11197 0.326504i −0.326373 0.945241i \(-0.605827\pi\)
−0.785598 + 0.618737i \(0.787645\pi\)
\(98\) −6.52116 2.54449i −0.658737 0.257033i
\(99\) −3.34412 + 3.85932i −0.336096 + 0.387876i
\(100\) −4.17067 + 1.66968i −0.417067 + 0.166968i
\(101\) −0.179240 + 0.738839i −0.0178351 + 0.0735172i −0.980034 0.198832i \(-0.936285\pi\)
0.962199 + 0.272349i \(0.0878005\pi\)
\(102\) 0.746247 0.143827i 0.0738895 0.0142410i
\(103\) 6.52331 + 3.36300i 0.642761 + 0.331366i 0.748605 0.663017i \(-0.230724\pi\)
−0.105844 + 0.994383i \(0.533754\pi\)
\(104\) −3.61810 + 2.32521i −0.354784 + 0.228006i
\(105\) −0.871037 1.67152i −0.0850045 0.163124i
\(106\) 6.90069 2.02623i 0.670254 0.196804i
\(107\) −7.87124 + 3.15117i −0.760942 + 0.304635i −0.719488 0.694505i \(-0.755623\pi\)
−0.0414542 + 0.999140i \(0.513199\pi\)
\(108\) −0.327068 0.945001i −0.0314721 0.0909327i
\(109\) 5.53188 + 7.76843i 0.529858 + 0.744081i 0.989580 0.143981i \(-0.0459906\pi\)
−0.459723 + 0.888063i \(0.652051\pi\)
\(110\) −0.857690 3.53545i −0.0817776 0.337092i
\(111\) −4.68859 10.2666i −0.445021 0.974460i
\(112\) 2.40181 1.10964i 0.226950 0.104851i
\(113\) 11.6997 + 7.51892i 1.10061 + 0.707321i 0.959228 0.282634i \(-0.0912082\pi\)
0.141385 + 0.989955i \(0.454845\pi\)
\(114\) −0.237410 0.411206i −0.0222355 0.0385130i
\(115\) −2.90283 1.80186i −0.270691 0.168024i
\(116\) 1.48245 2.56768i 0.137642 0.238403i
\(117\) −0.204643 + 4.29598i −0.0189192 + 0.397163i
\(118\) −0.0121489 0.0844972i −0.00111839 0.00777859i
\(119\) 1.90300 + 0.649297i 0.174448 + 0.0595209i
\(120\) 0.683552 + 0.200709i 0.0623995 + 0.0183221i
\(121\) −15.0092 + 1.43320i −1.36447 + 0.130291i
\(122\) −3.36216 9.71433i −0.304396 0.879494i
\(123\) 0.638389 + 0.502035i 0.0575616 + 0.0452670i
\(124\) −0.926049 0.882986i −0.0831617 0.0792945i
\(125\) −4.42852 5.11078i −0.396098 0.457122i
\(126\) 0.489304 2.60011i 0.0435907 0.231636i
\(127\) 6.51905 4.18954i 0.578472 0.371761i −0.218446 0.975849i \(-0.570099\pi\)
0.796918 + 0.604088i \(0.206462\pi\)
\(128\) −0.327068 + 0.945001i −0.0289090 + 0.0835271i
\(129\) 0.132085 0.544460i 0.0116294 0.0479371i
\(130\) −2.40844 1.89402i −0.211234 0.166116i
\(131\) −14.9295 2.87743i −1.30440 0.251402i −0.510723 0.859745i \(-0.670622\pi\)
−0.793674 + 0.608344i \(0.791834\pi\)
\(132\) 2.12136 4.64513i 0.184641 0.404307i
\(133\) −0.00551374 1.25624i −0.000478102 0.108930i
\(134\) −0.301133 0.659389i −0.0260139 0.0569625i
\(135\) 0.559992 0.440383i 0.0481964 0.0379021i
\(136\) −0.675498 + 0.348244i −0.0579235 + 0.0298616i
\(137\) −4.57159 + 7.91823i −0.390578 + 0.676500i −0.992526 0.122035i \(-0.961058\pi\)
0.601948 + 0.798535i \(0.294391\pi\)
\(138\) −1.63943 4.50691i −0.139558 0.383654i
\(139\) −13.7895 −1.16961 −0.584807 0.811173i \(-0.698830\pi\)
−0.584807 + 0.811173i \(0.698830\pi\)
\(140\) 1.30668 + 1.35841i 0.110434 + 0.114807i
\(141\) −0.197176 1.37139i −0.0166052 0.115492i
\(142\) 2.03870 2.86295i 0.171084 0.240253i
\(143\) −15.8952 + 15.1560i −1.32922 + 1.26741i
\(144\) 0.580057 + 0.814576i 0.0483381 + 0.0678813i
\(145\) 2.07405 + 0.399741i 0.172241 + 0.0331967i
\(146\) −0.224768 + 1.56330i −0.0186020 + 0.129379i
\(147\) 4.53741 5.33028i 0.374239 0.439634i
\(148\) 7.39109 + 8.52978i 0.607544 + 0.701143i
\(149\) −16.7998 8.66091i −1.37629 0.709529i −0.398124 0.917332i \(-0.630339\pi\)
−0.978171 + 0.207802i \(0.933369\pi\)
\(150\) −0.213760 4.48738i −0.0174535 0.366393i
\(151\) 2.73105 0.526367i 0.222250 0.0428351i −0.0769106 0.997038i \(-0.524506\pi\)
0.299160 + 0.954203i \(0.403293\pi\)
\(152\) 0.343643 + 0.327663i 0.0278732 + 0.0265770i
\(153\) −0.108157 + 0.752246i −0.00874394 + 0.0608155i
\(154\) 10.9711 7.88527i 0.884075 0.635413i
\(155\) 0.378675 0.829184i 0.0304159 0.0666016i
\(156\) −1.01396 4.17961i −0.0811820 0.334637i
\(157\) −19.9700 1.90691i −1.59378 0.152188i −0.739922 0.672693i \(-0.765138\pi\)
−0.853859 + 0.520505i \(0.825744\pi\)
\(158\) −9.31171 3.72785i −0.740800 0.296571i
\(159\) −0.342210 + 7.18387i −0.0271390 + 0.569718i
\(160\) −0.712410 −0.0563209
\(161\) 2.15081 12.5050i 0.169508 0.985529i
\(162\) 1.00000 0.0785674
\(163\) −0.735827 + 15.4469i −0.0576344 + 1.20990i 0.766025 + 0.642811i \(0.222232\pi\)
−0.823659 + 0.567085i \(0.808071\pi\)
\(164\) −0.753970 0.301844i −0.0588752 0.0235701i
\(165\) 3.62152 + 0.345814i 0.281935 + 0.0269216i
\(166\) 3.87693 + 15.9809i 0.300908 + 1.24036i
\(167\) 0.987067 2.16138i 0.0763815 0.167252i −0.867589 0.497282i \(-0.834331\pi\)
0.943971 + 0.330030i \(0.107059\pi\)
\(168\) 0.263052 + 2.63264i 0.0202949 + 0.203113i
\(169\) −0.782346 + 5.44133i −0.0601804 + 0.418564i
\(170\) −0.391843 0.373621i −0.0300530 0.0286554i
\(171\) 0.466239 0.0898602i 0.0356542 0.00687178i
\(172\) 0.0266579 + 0.559619i 0.00203265 + 0.0426705i
\(173\) −9.75870 5.03096i −0.741940 0.382497i 0.0454380 0.998967i \(-0.485532\pi\)
−0.787378 + 0.616471i \(0.788562\pi\)
\(174\) 1.94160 + 2.24072i 0.147192 + 0.169869i
\(175\) 5.40004 10.5885i 0.408205 0.800413i
\(176\) −0.726746 + 5.05463i −0.0547805 + 0.381007i
\(177\) 0.0838234 + 0.0161556i 0.00630055 + 0.00121433i
\(178\) −4.02183 5.64787i −0.301449 0.423326i
\(179\) −2.56536 + 2.44606i −0.191744 + 0.182827i −0.779869 0.625942i \(-0.784715\pi\)
0.588126 + 0.808770i \(0.299866\pi\)
\(180\) −0.413238 + 0.580312i −0.0308010 + 0.0432539i
\(181\) −0.0864450 0.601238i −0.00642541 0.0446897i 0.986356 0.164623i \(-0.0526409\pi\)
−0.992782 + 0.119934i \(0.961732\pi\)
\(182\) 3.15788 10.9320i 0.234077 0.810334i
\(183\) 10.2797 0.759897
\(184\) 2.84277 + 3.86247i 0.209572 + 0.284745i
\(185\) −4.02031 + 6.96338i −0.295579 + 0.511958i
\(186\) 1.13730 0.586321i 0.0833912 0.0429911i
\(187\) −3.05061 + 2.39903i −0.223083 + 0.175434i
\(188\) 0.575553 + 1.26029i 0.0419765 + 0.0919158i
\(189\) 2.29707 + 1.31281i 0.167087 + 0.0954926i
\(190\) −0.140521 + 0.307698i −0.0101945 + 0.0223227i
\(191\) 4.53588 + 0.874218i 0.328204 + 0.0632562i 0.350692 0.936491i \(-0.385946\pi\)
−0.0224874 + 0.999747i \(0.507159\pi\)
\(192\) −0.786053 0.618159i −0.0567285 0.0446118i
\(193\) 1.68881 6.96137i 0.121563 0.501090i −0.878178 0.478334i \(-0.841241\pi\)
0.999741 0.0227559i \(-0.00724406\pi\)
\(194\) −3.73315 + 10.7862i −0.268025 + 0.774407i
\(195\) 2.57757 1.65650i 0.184584 0.118625i
\(196\) −2.85190 + 6.39270i −0.203707 + 0.456622i
\(197\) 0.695130 + 0.802223i 0.0495260 + 0.0571560i 0.779972 0.625814i \(-0.215233\pi\)
−0.730446 + 0.682970i \(0.760688\pi\)
\(198\) 3.69583 + 3.52396i 0.262651 + 0.250437i
\(199\) 14.3848 + 11.3123i 1.01971 + 0.801910i 0.980340 0.197314i \(-0.0632220\pi\)
0.0393716 + 0.999225i \(0.487464\pi\)
\(200\) 1.46934 + 4.24539i 0.103898 + 0.300194i
\(201\) 0.721614 0.0689058i 0.0508987 0.00486024i
\(202\) 0.729473 + 0.214193i 0.0513256 + 0.0150705i
\(203\) 1.51835 + 7.69604i 0.106567 + 0.540156i
\(204\) −0.108157 0.752246i −0.00757248 0.0526677i
\(205\) 0.0275300 0.577925i 0.00192278 0.0403640i
\(206\) 3.66958 6.35590i 0.255672 0.442837i
\(207\) 4.79524 0.0751982i 0.333292 0.00522664i
\(208\) 2.15042 + 3.72464i 0.149105 + 0.258258i
\(209\) 2.03980 + 1.31090i 0.141096 + 0.0906770i
\(210\) −1.71108 + 0.790516i −0.118075 + 0.0545508i
\(211\) 11.8030 + 25.8450i 0.812552 + 1.77924i 0.596030 + 0.802962i \(0.296744\pi\)
0.216522 + 0.976278i \(0.430529\pi\)
\(212\) −1.69558 6.98929i −0.116453 0.480026i
\(213\) 2.03870 + 2.86295i 0.139689 + 0.196166i
\(214\) 2.77307 + 8.01227i 0.189563 + 0.547707i
\(215\) −0.370539 + 0.148342i −0.0252706 + 0.0101168i
\(216\) −0.959493 + 0.281733i −0.0652852 + 0.0191695i
\(217\) 3.38219 + 0.146239i 0.229598 + 0.00992732i
\(218\) 8.02285 5.15597i 0.543376 0.349207i
\(219\) −1.40380 0.723711i −0.0948602 0.0489038i
\(220\) −3.57225 + 0.688495i −0.240841 + 0.0464184i
\(221\) −0.770593 + 3.17643i −0.0518357 + 0.213670i
\(222\) −10.4780 + 4.19477i −0.703240 + 0.281535i
\(223\) 4.72706 5.45531i 0.316547 0.365315i −0.575071 0.818104i \(-0.695025\pi\)
0.891618 + 0.452789i \(0.149571\pi\)
\(224\) −0.994097 2.45189i −0.0664209 0.163824i
\(225\) 4.31050 + 1.26568i 0.287366 + 0.0843784i
\(226\) 8.06710 11.3287i 0.536615 0.753571i
\(227\) −18.3682 7.35354i −1.21914 0.488071i −0.329251 0.944242i \(-0.606796\pi\)
−0.889892 + 0.456171i \(0.849221\pi\)
\(228\) −0.422037 + 0.217575i −0.0279501 + 0.0144093i
\(229\) −10.4201 18.0482i −0.688583 1.19266i −0.972296 0.233751i \(-0.924900\pi\)
0.283714 0.958909i \(-0.408433\pi\)
\(230\) −1.93794 + 2.81381i −0.127784 + 0.185537i
\(231\) 3.86330 + 12.9467i 0.254186 + 0.851830i
\(232\) −2.49423 1.60295i −0.163754 0.105239i
\(233\) 3.16445 2.48855i 0.207310 0.163030i −0.509106 0.860704i \(-0.670024\pi\)
0.716416 + 0.697674i \(0.245781\pi\)
\(234\) 4.28137 + 0.408822i 0.279882 + 0.0267255i
\(235\) −0.714352 + 0.681133i −0.0465992 + 0.0444322i
\(236\) −0.0849795 + 0.00811456i −0.00553170 + 0.000528213i
\(237\) 6.56838 7.58031i 0.426662 0.492394i
\(238\) 0.739110 1.86995i 0.0479094 0.121211i
\(239\) 1.02006 0.299516i 0.0659821 0.0193741i −0.248575 0.968613i \(-0.579962\pi\)
0.314557 + 0.949239i \(0.398144\pi\)
\(240\) 0.233006 0.673228i 0.0150405 0.0434567i
\(241\) −0.674448 14.1584i −0.0434450 0.912023i −0.910423 0.413678i \(-0.864244\pi\)
0.866978 0.498346i \(-0.166059\pi\)
\(242\) 0.717413 + 15.0604i 0.0461171 + 0.968117i
\(243\) −0.327068 + 0.945001i −0.0209814 + 0.0606218i
\(244\) −9.86330 + 2.89613i −0.631433 + 0.185406i
\(245\) −4.96826 0.430437i −0.317410 0.0274996i
\(246\) 0.531842 0.613779i 0.0339090 0.0391331i
\(247\) 2.03288 0.194117i 0.129349 0.0123513i
\(248\) −0.926049 + 0.882986i −0.0588042 + 0.0560697i
\(249\) −16.3700 1.56315i −1.03741 0.0990603i
\(250\) −5.31571 + 4.18032i −0.336195 + 0.264387i
\(251\) 6.71329 + 4.31437i 0.423739 + 0.272321i 0.735084 0.677976i \(-0.237143\pi\)
−0.311344 + 0.950297i \(0.600779\pi\)
\(252\) −2.57388 0.612469i −0.162139 0.0385819i
\(253\) 17.9874 + 16.6203i 1.13086 + 1.04491i
\(254\) −3.87460 6.71101i −0.243114 0.421086i
\(255\) 0.481232 0.248092i 0.0301359 0.0155361i
\(256\) 0.928368 + 0.371662i 0.0580230 + 0.0232289i
\(257\) −4.98225 + 6.99660i −0.310784 + 0.436436i −0.940195 0.340638i \(-0.889357\pi\)
0.629410 + 0.777073i \(0.283297\pi\)
\(258\) −0.537559 0.157842i −0.0334670 0.00982679i
\(259\) −29.5757 4.11994i −1.83775 0.256001i
\(260\) −2.00647 + 2.31559i −0.124436 + 0.143607i
\(261\) −2.75252 + 1.10194i −0.170377 + 0.0682085i
\(262\) −3.58454 + 14.7757i −0.221454 + 0.912844i
\(263\) −21.2749 + 4.10039i −1.31186 + 0.252841i −0.796765 0.604289i \(-0.793457\pi\)
−0.515099 + 0.857130i \(0.672245\pi\)
\(264\) −4.53893 2.33998i −0.279352 0.144016i
\(265\) 4.31030 2.77006i 0.264780 0.170164i
\(266\) −1.25508 0.0542670i −0.0769541 0.00332732i
\(267\) 6.65265 1.95340i 0.407136 0.119546i
\(268\) −0.672970 + 0.269417i −0.0411082 + 0.0164572i
\(269\) −9.96826 28.8014i −0.607775 1.75605i −0.653312 0.757089i \(-0.726621\pi\)
0.0455368 0.998963i \(-0.485500\pi\)
\(270\) −0.413238 0.580312i −0.0251489 0.0353167i
\(271\) 4.43089 + 18.2644i 0.269157 + 1.10948i 0.932501 + 0.361167i \(0.117622\pi\)
−0.663344 + 0.748315i \(0.730863\pi\)
\(272\) 0.315708 + 0.691303i 0.0191426 + 0.0419164i
\(273\) 9.29792 + 6.55971i 0.562736 + 0.397011i
\(274\) 7.69174 + 4.94318i 0.464675 + 0.298628i
\(275\) 11.4706 + 19.8677i 0.691706 + 1.19807i
\(276\) −4.57982 + 1.42313i −0.275672 + 0.0856622i
\(277\) −3.20847 + 5.55724i −0.192778 + 0.333902i −0.946170 0.323670i \(-0.895083\pi\)
0.753392 + 0.657572i \(0.228417\pi\)
\(278\) −0.656133 + 13.7739i −0.0393522 + 0.826105i
\(279\) 0.182098 + 1.26652i 0.0109019 + 0.0758246i
\(280\) 1.41905 1.24056i 0.0848045 0.0741377i
\(281\) −3.16225 0.928520i −0.188644 0.0553909i 0.186046 0.982541i \(-0.440433\pi\)
−0.374690 + 0.927150i \(0.622251\pi\)
\(282\) −1.37922 + 0.131699i −0.0821311 + 0.00784257i
\(283\) 2.77745 + 8.02492i 0.165102 + 0.477032i 0.996956 0.0779626i \(-0.0248415\pi\)
−0.831854 + 0.554995i \(0.812720\pi\)
\(284\) −2.76270 2.17261i −0.163936 0.128921i
\(285\) −0.244815 0.233430i −0.0145016 0.0138272i
\(286\) 14.3825 + 16.5983i 0.850457 + 0.981480i
\(287\) 2.02745 0.711688i 0.119677 0.0420096i
\(288\) 0.841254 0.540641i 0.0495713 0.0318576i
\(289\) 5.37125 15.5192i 0.315956 0.912895i
\(290\) 0.497976 2.05268i 0.0292421 0.120538i
\(291\) −8.97201 7.05567i −0.525948 0.413610i
\(292\) 1.55083 + 0.298898i 0.0907556 + 0.0174917i
\(293\) −7.46644 + 16.3492i −0.436194 + 0.955132i 0.556087 + 0.831124i \(0.312302\pi\)
−0.992281 + 0.124008i \(0.960425\pi\)
\(294\) −5.10835 4.78590i −0.297925 0.279119i
\(295\) −0.0252637 0.0553198i −0.00147091 0.00322085i
\(296\) 8.87180 6.97686i 0.515663 0.405522i
\(297\) −4.53893 + 2.33998i −0.263376 + 0.135780i
\(298\) −9.45047 + 16.3687i −0.547451 + 0.948213i
\(299\) 20.5610 + 1.63845i 1.18907 + 0.0947538i
\(300\) −4.49247 −0.259373
\(301\) −1.02760 1.06828i −0.0592297 0.0615749i
\(302\) −0.395822 2.75300i −0.0227770 0.158417i
\(303\) −0.441000 + 0.619297i −0.0253348 + 0.0355777i
\(304\) 0.343643 0.327663i 0.0197093 0.0187928i
\(305\) −4.24797 5.96543i −0.243238 0.341580i
\(306\) 0.746247 + 0.143827i 0.0426601 + 0.00822207i
\(307\) 4.21548 29.3193i 0.240590 1.67334i −0.408599 0.912714i \(-0.633983\pi\)
0.649189 0.760627i \(-0.275108\pi\)
\(308\) −7.35431 11.3339i −0.419051 0.645806i
\(309\) 4.80613 + 5.54657i 0.273411 + 0.315533i
\(310\) −0.810226 0.417701i −0.0460178 0.0237238i
\(311\) 1.43853 + 30.1984i 0.0815713 + 1.71239i 0.555240 + 0.831690i \(0.312626\pi\)
−0.473669 + 0.880703i \(0.657071\pi\)
\(312\) −4.22313 + 0.813941i −0.239087 + 0.0460803i
\(313\) −23.9976 22.8817i −1.35643 1.29335i −0.919087 0.394054i \(-0.871072\pi\)
−0.437340 0.899296i \(-0.644079\pi\)
\(314\) −2.85496 + 19.8567i −0.161115 + 1.12058i
\(315\) −0.187401 1.87552i −0.0105588 0.105674i
\(316\) −4.16669 + 9.12378i −0.234395 + 0.513253i
\(317\) 2.71191 + 11.1786i 0.152316 + 0.627854i 0.995868 + 0.0908078i \(0.0289449\pi\)
−0.843553 + 0.537046i \(0.819540\pi\)
\(318\) 7.15945 + 0.683645i 0.401482 + 0.0383369i
\(319\) −14.0560 5.62718i −0.786986 0.315062i
\(320\) −0.0338978 + 0.711603i −0.00189495 + 0.0397798i
\(321\) −8.47858 −0.473228
\(322\) −12.3885 2.74338i −0.690382 0.152883i
\(323\) 0.360854 0.0200785
\(324\) 0.0475819 0.998867i 0.00264344 0.0554926i
\(325\) 17.9374 + 7.18105i 0.994988 + 0.398333i
\(326\) 15.3944 + 1.46999i 0.852617 + 0.0814151i
\(327\) 2.24838 + 9.26796i 0.124336 + 0.512519i
\(328\) −0.337377 + 0.738754i −0.0186286 + 0.0407908i
\(329\) −3.34105 1.50812i −0.184198 0.0831454i
\(330\) 0.517741 3.60097i 0.0285007 0.198227i
\(331\) 0.251225 + 0.239542i 0.0138086 + 0.0131664i 0.696952 0.717118i \(-0.254539\pi\)
−0.683143 + 0.730284i \(0.739388\pi\)
\(332\) 16.1473 3.11214i 0.886198 0.170801i
\(333\) −0.537034 11.2737i −0.0294293 0.617797i
\(334\) −2.11196 1.08879i −0.115561 0.0595760i
\(335\) −0.338185 0.390287i −0.0184770 0.0213236i
\(336\) 2.64218 0.137488i 0.144143 0.00750058i
\(337\) 1.73629 12.0761i 0.0945815 0.657829i −0.886284 0.463142i \(-0.846722\pi\)
0.980865 0.194687i \(-0.0623690\pi\)
\(338\) 5.39795 + 1.04037i 0.293610 + 0.0565886i
\(339\) 8.06710 + 11.3287i 0.438145 + 0.615288i
\(340\) −0.391843 + 0.373621i −0.0212507 + 0.0202625i
\(341\) −3.79017 + 5.32254i −0.205249 + 0.288232i
\(342\) −0.0675739 0.469987i −0.00365398 0.0254140i
\(343\) −5.45128 17.6998i −0.294342 0.955700i
\(344\) 0.560253 0.0302068
\(345\) −2.02522 2.75166i −0.109034 0.148144i
\(346\) −5.48960 + 9.50826i −0.295123 + 0.511167i
\(347\) 16.5060 8.50945i 0.886090 0.456811i 0.0458012 0.998951i \(-0.485416\pi\)
0.840288 + 0.542140i \(0.182386\pi\)
\(348\) 2.33057 1.83278i 0.124932 0.0982473i
\(349\) 3.49422 + 7.65127i 0.187041 + 0.409563i 0.979802 0.199970i \(-0.0640843\pi\)
−0.792761 + 0.609533i \(0.791357\pi\)
\(350\) −10.3195 5.89775i −0.551602 0.315248i
\(351\) −1.78664 + 3.91219i −0.0953636 + 0.208817i
\(352\) 5.01432 + 0.966432i 0.267264 + 0.0515110i
\(353\) −19.0529 14.9834i −1.01408 0.797485i −0.0346809 0.999398i \(-0.511041\pi\)
−0.979403 + 0.201914i \(0.935284\pi\)
\(354\) 0.0201258 0.0829597i 0.00106967 0.00440926i
\(355\) 0.818936 2.36616i 0.0434646 0.125583i
\(356\) −5.83284 + 3.74854i −0.309140 + 0.198672i
\(357\) 1.52537 + 1.31006i 0.0807310 + 0.0693357i
\(358\) 2.32123 + 2.67884i 0.122681 + 0.141581i
\(359\) −2.84742 2.71501i −0.150281 0.143293i 0.611209 0.791469i \(-0.290683\pi\)
−0.761490 + 0.648176i \(0.775532\pi\)
\(360\) 0.559992 + 0.440383i 0.0295142 + 0.0232102i
\(361\) 6.14055 + 17.7420i 0.323187 + 0.933787i
\(362\) −0.604670 + 0.0577390i −0.0317808 + 0.00303470i
\(363\) −14.4667 4.24781i −0.759305 0.222952i
\(364\) −10.7694 3.67447i −0.564468 0.192594i
\(365\) 0.160127 + 1.11371i 0.00838144 + 0.0582942i
\(366\) 0.489128 10.2681i 0.0255671 0.536720i
\(367\) −12.9174 + 22.3736i −0.674283 + 1.16789i 0.302395 + 0.953183i \(0.402214\pi\)
−0.976678 + 0.214710i \(0.931119\pi\)
\(368\) 3.99336 2.65576i 0.208168 0.138441i
\(369\) 0.406073 + 0.703339i 0.0211393 + 0.0366143i
\(370\) 6.76420 + 4.34709i 0.351654 + 0.225994i
\(371\) 15.5483 + 10.9694i 0.807227 + 0.569501i
\(372\) −0.531542 1.16391i −0.0275592 0.0603461i
\(373\) −2.74118 11.2993i −0.141933 0.585055i −0.997706 0.0677030i \(-0.978433\pi\)
0.855773 0.517352i \(-0.173082\pi\)
\(374\) 2.25116 + 3.16131i 0.116405 + 0.163467i
\(375\) −2.21181 6.39060i −0.114217 0.330009i
\(376\) 1.28624 0.514935i 0.0663330 0.0265557i
\(377\) −12.2351 + 3.59254i −0.630137 + 0.185025i
\(378\) 1.42062 2.23200i 0.0730687 0.114802i
\(379\) −17.9314 + 11.5238i −0.921073 + 0.591937i −0.912969 0.408030i \(-0.866216\pi\)
−0.00810390 + 0.999967i \(0.502580\pi\)
\(380\) 0.300663 + 0.155003i 0.0154237 + 0.00795147i
\(381\) 7.60917 1.46655i 0.389830 0.0751335i
\(382\) 1.08905 4.48914i 0.0557208 0.229684i
\(383\) −16.8427 + 6.74279i −0.860620 + 0.344540i −0.759637 0.650348i \(-0.774623\pi\)
−0.100984 + 0.994888i \(0.532199\pi\)
\(384\) −0.654861 + 0.755750i −0.0334182 + 0.0385667i
\(385\) 5.91666 7.59199i 0.301541 0.386924i
\(386\) −6.87312 2.01813i −0.349833 0.102720i
\(387\) 0.324979 0.456369i 0.0165196 0.0231985i
\(388\) 10.5964 + 4.24215i 0.537950 + 0.215363i
\(389\) 29.0071 14.9542i 1.47072 0.758208i 0.477964 0.878379i \(-0.341375\pi\)
0.992753 + 0.120172i \(0.0383445\pi\)
\(390\) −1.53198 2.65347i −0.0775750 0.134364i
\(391\) 3.58925 + 0.633571i 0.181516 + 0.0320410i
\(392\) 6.24976 + 3.15285i 0.315661 + 0.159243i
\(393\) −12.7906 8.22004i −0.645202 0.414646i
\(394\) 0.834390 0.656171i 0.0420359 0.0330574i
\(395\) −7.11325 0.679233i −0.357906 0.0341759i
\(396\) 3.69583 3.52396i 0.185722 0.177086i
\(397\) 7.32250 0.699214i 0.367506 0.0350925i 0.0903302 0.995912i \(-0.471208\pi\)
0.277175 + 0.960819i \(0.410602\pi\)
\(398\) 11.9840 13.8303i 0.600703 0.693248i
\(399\) 0.461780 1.16831i 0.0231179 0.0584884i
\(400\) 4.31050 1.26568i 0.215525 0.0632838i
\(401\) 11.3964 32.9277i 0.569108 1.64433i −0.181355 0.983418i \(-0.558048\pi\)
0.750463 0.660912i \(-0.229830\pi\)
\(402\) −0.0344919 0.724075i −0.00172030 0.0361136i
\(403\) 0.261849 + 5.49689i 0.0130436 + 0.273820i
\(404\) 0.248660 0.718455i 0.0123713 0.0357445i
\(405\) 0.683552 0.200709i 0.0339660 0.00997331i
\(406\) 7.75957 1.15044i 0.385101 0.0570954i
\(407\) 37.7434 43.5582i 1.87087 2.15910i
\(408\) −0.756540 + 0.0722408i −0.0374543 + 0.00357645i
\(409\) −18.8903 + 18.0118i −0.934063 + 0.890628i −0.994198 0.107563i \(-0.965695\pi\)
0.0601350 + 0.998190i \(0.480847\pi\)
\(410\) −0.575961 0.0549976i −0.0284447 0.00271614i
\(411\) −7.18703 + 5.65194i −0.354510 + 0.278790i
\(412\) −6.17410 3.96785i −0.304176 0.195482i
\(413\) 0.155140 0.164143i 0.00763396 0.00807696i
\(414\) 0.153054 4.79339i 0.00752218 0.235582i
\(415\) 5.85760 + 10.1457i 0.287538 + 0.498031i
\(416\) 3.82275 1.97076i 0.187426 0.0966246i
\(417\) −12.8018 5.12506i −0.626905 0.250975i
\(418\) 1.40647 1.97512i 0.0687929 0.0966062i
\(419\) −3.56456 1.04665i −0.174140 0.0511321i 0.193500 0.981100i \(-0.438016\pi\)
−0.367640 + 0.929968i \(0.619834\pi\)
\(420\) 0.708205 + 1.74675i 0.0345569 + 0.0852327i
\(421\) 10.5407 12.1646i 0.513721 0.592865i −0.438327 0.898816i \(-0.644429\pi\)
0.952047 + 0.305950i \(0.0989742\pi\)
\(422\) 26.3773 10.5599i 1.28403 0.514047i
\(423\) 0.326642 1.34643i 0.0158819 0.0654659i
\(424\) −7.06205 + 1.36110i −0.342963 + 0.0661008i
\(425\) 3.03466 + 1.56447i 0.147203 + 0.0758882i
\(426\) 2.95671 1.90016i 0.143253 0.0920633i
\(427\) 14.6035 22.9443i 0.706715 1.11035i
\(428\) 8.13514 2.38869i 0.393227 0.115462i
\(429\) −20.3895 + 8.16273i −0.984414 + 0.394100i
\(430\) 0.130543 + 0.377178i 0.00629532 + 0.0181891i
\(431\) 0.554499 + 0.778684i 0.0267093 + 0.0375079i 0.827715 0.561149i \(-0.189641\pi\)
−0.801005 + 0.598657i \(0.795701\pi\)
\(432\) 0.235759 + 0.971812i 0.0113430 + 0.0467563i
\(433\) −13.9134 30.4662i −0.668637 1.46411i −0.874249 0.485477i \(-0.838646\pi\)
0.205613 0.978633i \(-0.434081\pi\)
\(434\) 0.307004 3.37141i 0.0147367 0.161833i
\(435\) 1.77692 + 1.14195i 0.0851966 + 0.0547525i
\(436\) −4.76839 8.25910i −0.228365 0.395539i
\(437\) −0.359375 2.24862i −0.0171913 0.107566i
\(438\) −0.789687 + 1.36778i −0.0377327 + 0.0653549i
\(439\) −0.761872 + 15.9937i −0.0363622 + 0.763336i 0.904893 + 0.425639i \(0.139951\pi\)
−0.941255 + 0.337696i \(0.890352\pi\)
\(440\) 0.517741 + 3.60097i 0.0246823 + 0.171669i
\(441\) 6.19345 3.26208i 0.294926 0.155337i
\(442\) 3.13616 + 0.920861i 0.149172 + 0.0438009i
\(443\) 26.0506 2.48753i 1.23770 0.118186i 0.544396 0.838829i \(-0.316759\pi\)
0.693307 + 0.720642i \(0.256153\pi\)
\(444\) 3.69146 + 10.6658i 0.175189 + 0.506175i
\(445\) −3.88271 3.05340i −0.184058 0.144745i
\(446\) −5.22421 4.98128i −0.247374 0.235870i
\(447\) −12.3775 14.2844i −0.585435 0.675628i
\(448\) −2.49642 + 0.876306i −0.117945 + 0.0414016i
\(449\) 13.0622 8.39454i 0.616441 0.396163i −0.194826 0.980838i \(-0.562414\pi\)
0.811268 + 0.584675i \(0.198778\pi\)
\(450\) 1.46934 4.24539i 0.0692655 0.200130i
\(451\) −0.977765 + 4.03040i −0.0460412 + 0.189784i
\(452\) −10.9320 8.59700i −0.514197 0.404369i
\(453\) 2.73105 + 0.526367i 0.128316 + 0.0247309i
\(454\) −8.21921 + 17.9975i −0.385746 + 0.844667i
\(455\) −0.0355796 8.10641i −0.00166800 0.380035i
\(456\) 0.197247 + 0.431911i 0.00923695 + 0.0202261i
\(457\) 0.117558 0.0924487i 0.00549913 0.00432457i −0.615406 0.788211i \(-0.711008\pi\)
0.620905 + 0.783886i \(0.286765\pi\)
\(458\) −18.5236 + 9.54957i −0.865550 + 0.446222i
\(459\) −0.379991 + 0.658163i −0.0177364 + 0.0307204i
\(460\) 2.71841 + 2.06963i 0.126747 + 0.0964970i
\(461\) 3.09140 0.143981 0.0719905 0.997405i \(-0.477065\pi\)
0.0719905 + 0.997405i \(0.477065\pi\)
\(462\) 13.1159 3.24289i 0.610205 0.150873i
\(463\) 4.13136 + 28.7343i 0.192001 + 1.33539i 0.826703 + 0.562638i \(0.190213\pi\)
−0.634703 + 0.772756i \(0.718877\pi\)
\(464\) −1.71981 + 2.41514i −0.0798402 + 0.112120i
\(465\) 0.659727 0.629048i 0.0305941 0.0291714i
\(466\) −2.33516 3.27928i −0.108174 0.151910i
\(467\) 39.8215 + 7.67496i 1.84272 + 0.355155i 0.986798 0.161953i \(-0.0517793\pi\)
0.855920 + 0.517108i \(0.172991\pi\)
\(468\) 0.612074 4.25707i 0.0282931 0.196783i
\(469\) 0.871340 1.70853i 0.0402347 0.0788928i
\(470\) 0.646371 + 0.745952i 0.0298149 + 0.0344082i
\(471\) −17.8308 9.19241i −0.821600 0.423564i
\(472\) 0.00406188 + 0.0852694i 0.000186963 + 0.00392484i
\(473\) 2.80929 0.541446i 0.129171 0.0248957i
\(474\) −7.25919 6.92162i −0.333426 0.317921i
\(475\) 0.303574 2.11140i 0.0139289 0.0968778i
\(476\) −1.83267 0.827248i −0.0840001 0.0379169i
\(477\) −2.98767 + 6.54209i −0.136796 + 0.299542i
\(478\) −0.250641 1.03315i −0.0114640 0.0472554i
\(479\) 15.3657 + 1.46725i 0.702079 + 0.0670404i 0.439989 0.898003i \(-0.354982\pi\)
0.262090 + 0.965043i \(0.415588\pi\)
\(480\) −0.661378 0.264776i −0.0301877 0.0120853i
\(481\) 2.30970 48.4866i 0.105313 2.21080i
\(482\) −14.1745 −0.645629
\(483\) 6.64437 10.8098i 0.302329 0.491864i
\(484\) 15.0774 0.685338
\(485\) −0.386910 + 8.12223i −0.0175687 + 0.368812i
\(486\) 0.928368 + 0.371662i 0.0421116 + 0.0168590i
\(487\) 38.1169 + 3.63972i 1.72724 + 0.164931i 0.910897 0.412635i \(-0.135391\pi\)
0.816344 + 0.577566i \(0.195997\pi\)
\(488\) 2.42353 + 9.98993i 0.109708 + 0.452223i
\(489\) −6.42415 + 14.0669i −0.290510 + 0.636129i
\(490\) −0.666349 + 4.94215i −0.0301026 + 0.223264i
\(491\) 5.71851 39.7731i 0.258073 1.79493i −0.288456 0.957493i \(-0.593142\pi\)
0.546528 0.837441i \(-0.315949\pi\)
\(492\) −0.587777 0.560445i −0.0264990 0.0252668i
\(493\) −2.21255 + 0.426434i −0.0996482 + 0.0192056i
\(494\) −0.0971683 2.03981i −0.00437181 0.0917756i
\(495\) 3.23358 + 1.66703i 0.145339 + 0.0749273i
\(496\) 0.837923 + 0.967015i 0.0376238 + 0.0434202i
\(497\) 9.28633 0.483222i 0.416549 0.0216755i
\(498\) −2.34029 + 16.2771i −0.104871 + 0.729393i
\(499\) −28.1876 5.43271i −1.26185 0.243201i −0.485910 0.874009i \(-0.661512\pi\)
−0.775939 + 0.630808i \(0.782724\pi\)
\(500\) 3.92265 + 5.50859i 0.175426 + 0.246352i
\(501\) 1.71966 1.63970i 0.0768289 0.0732562i
\(502\) 4.62892 6.50040i 0.206599 0.290127i
\(503\) −1.56699 10.8986i −0.0698685 0.485946i −0.994471 0.105013i \(-0.966512\pi\)
0.924602 0.380934i \(-0.124397\pi\)
\(504\) −0.734245 + 2.54183i −0.0327059 + 0.113222i
\(505\) 0.541623 0.0241019
\(506\) 17.4574 17.1762i 0.776075 0.763574i
\(507\) −2.74864 + 4.76079i −0.122072 + 0.211434i
\(508\) −6.88777 + 3.55089i −0.305595 + 0.157545i
\(509\) −1.79929 + 1.41498i −0.0797522 + 0.0627178i −0.657239 0.753682i \(-0.728276\pi\)
0.577487 + 0.816400i \(0.304033\pi\)
\(510\) −0.224913 0.492491i −0.00995932 0.0218079i
\(511\) −3.60959 + 2.10518i −0.159679 + 0.0931276i
\(512\) 0.415415 0.909632i 0.0183589 0.0402004i
\(513\) 0.466239 + 0.0898602i 0.0205850 + 0.00396743i
\(514\) 6.75161 + 5.30952i 0.297801 + 0.234193i
\(515\) 1.23266 5.08111i 0.0543176 0.223900i
\(516\) −0.183241 + 0.529440i −0.00806673 + 0.0233073i
\(517\) 5.95200 3.82512i 0.261769 0.168228i
\(518\) −5.52254 + 29.3462i −0.242647 + 1.28940i
\(519\) −7.18984 8.29752i −0.315599 0.364221i
\(520\) 2.21750 + 2.11438i 0.0972436 + 0.0927216i
\(521\) −24.4506 19.2282i −1.07120 0.842402i −0.0831519 0.996537i \(-0.526499\pi\)
−0.988050 + 0.154135i \(0.950741\pi\)
\(522\) 0.969724 + 2.80183i 0.0424437 + 0.122633i
\(523\) 2.36673 0.225995i 0.103490 0.00988207i −0.0431827 0.999067i \(-0.513750\pi\)
0.146672 + 0.989185i \(0.453144\pi\)
\(524\) 14.5884 + 4.28354i 0.637296 + 0.187127i
\(525\) 8.94856 7.82300i 0.390547 0.341424i
\(526\) 3.08345 + 21.4459i 0.134445 + 0.935084i
\(527\) −0.0462700 + 0.971328i −0.00201555 + 0.0423117i
\(528\) −2.55330 + 4.42245i −0.111118 + 0.192463i
\(529\) 0.373475 22.9970i 0.0162381 0.999868i
\(530\) −2.56183 4.43722i −0.111279 0.192741i
\(531\) 0.0718145 + 0.0461524i 0.00311648 + 0.00200284i
\(532\) −0.113925 + 1.25108i −0.00493926 + 0.0542411i
\(533\) 1.45101 + 3.17727i 0.0628502 + 0.137623i
\(534\) −1.63464 6.73807i −0.0707377 0.291585i
\(535\) 3.50367 + 4.92022i 0.151477 + 0.212720i
\(536\) 0.237090 + 0.685027i 0.0102407 + 0.0295887i
\(537\) −3.29070 + 1.31740i −0.142004 + 0.0568500i
\(538\) −29.2431 + 8.58654i −1.26076 + 0.370192i
\(539\) 34.3854 + 9.76943i 1.48108 + 0.420799i
\(540\) −0.599317 + 0.385158i −0.0257905 + 0.0165746i
\(541\) 14.8514 + 7.65642i 0.638511 + 0.329175i 0.746903 0.664933i \(-0.231540\pi\)
−0.108392 + 0.994108i \(0.534570\pi\)
\(542\) 18.4545 3.55682i 0.792690 0.152778i
\(543\) 0.143205 0.590299i 0.00614551 0.0253321i
\(544\) 0.705542 0.282457i 0.0302499 0.0121102i
\(545\) 4.44919 5.13464i 0.190582 0.219944i
\(546\) 6.99469 8.97526i 0.299345 0.384106i
\(547\) −29.1294 8.55316i −1.24548 0.365707i −0.408410 0.912799i \(-0.633917\pi\)
−0.837073 + 0.547092i \(0.815735\pi\)
\(548\) 5.30357 7.44782i 0.226557 0.318155i
\(549\) 9.54335 + 3.82058i 0.407300 + 0.163058i
\(550\) 20.3910 10.5123i 0.869477 0.448246i
\(551\) 0.703897 + 1.21918i 0.0299870 + 0.0519390i
\(552\) 1.20360 + 4.64234i 0.0512286 + 0.197591i
\(553\) −7.58813 25.4294i −0.322680 1.08137i
\(554\) 5.39828 + 3.46926i 0.229351 + 0.147395i
\(555\) −6.32036 + 4.97038i −0.268284 + 0.210981i
\(556\) 13.7271 + 1.31078i 0.582159 + 0.0555894i
\(557\) 14.8401 14.1500i 0.628794 0.599553i −0.307168 0.951655i \(-0.599381\pi\)
0.935962 + 0.352102i \(0.114533\pi\)
\(558\) 1.27375 0.121628i 0.0539221 0.00514894i
\(559\) 1.57793 1.82103i 0.0667393 0.0770212i
\(560\) −1.17163 1.47647i −0.0495106 0.0623923i
\(561\) −3.72372 + 1.09338i −0.157216 + 0.0461627i
\(562\) −1.07793 + 3.11449i −0.0454699 + 0.131377i
\(563\) −1.12959 23.7129i −0.0476064 0.999381i −0.888699 0.458491i \(-0.848390\pi\)
0.841093 0.540891i \(-0.181913\pi\)
\(564\) 0.0659243 + 1.38392i 0.00277591 + 0.0582736i
\(565\) 3.24052 9.36287i 0.136330 0.393899i
\(566\) 8.14799 2.39247i 0.342486 0.100563i
\(567\) 1.64461 + 2.07250i 0.0690670 + 0.0870369i
\(568\) −2.30161 + 2.65620i −0.0965733 + 0.111452i
\(569\) −4.65322 + 0.444329i −0.195073 + 0.0186272i −0.192135 0.981368i \(-0.561541\pi\)
−0.00293794 + 0.999996i \(0.500935\pi\)
\(570\) −0.244815 + 0.233430i −0.0102542 + 0.00977733i
\(571\) 12.1530 + 1.16047i 0.508585 + 0.0485640i 0.346195 0.938163i \(-0.387474\pi\)
0.162390 + 0.986727i \(0.448080\pi\)
\(572\) 17.2639 13.5765i 0.721839 0.567661i
\(573\) 3.88605 + 2.49741i 0.162342 + 0.104331i
\(574\) −0.614412 2.05902i −0.0256450 0.0859418i
\(575\) 6.72661 20.4682i 0.280519 0.853581i
\(576\) −0.500000 0.866025i −0.0208333 0.0360844i
\(577\) −8.65360 + 4.46124i −0.360254 + 0.185724i −0.628845 0.777530i \(-0.716472\pi\)
0.268591 + 0.963254i \(0.413442\pi\)
\(578\) −15.2461 6.10360i −0.634152 0.253876i
\(579\) 4.15511 5.83504i 0.172681 0.242496i
\(580\) −2.02666 0.595082i −0.0841526 0.0247094i
\(581\) −26.7445 + 34.3173i −1.10955 + 1.42372i
\(582\) −7.47458 + 8.62612i −0.309831 + 0.357564i
\(583\) −34.0960 + 13.6500i −1.41211 + 0.565324i
\(584\) 0.372351 1.53485i 0.0154080 0.0635127i
\(585\) 3.00860 0.579859i 0.124390 0.0239742i
\(586\) 15.9754 + 8.23591i 0.659939 + 0.340222i
\(587\) −25.4982 + 16.3867i −1.05242 + 0.676352i −0.948029 0.318184i \(-0.896927\pi\)
−0.104396 + 0.994536i \(0.533291\pi\)
\(588\) −5.02354 + 4.87484i −0.207167 + 0.201035i
\(589\) 0.582943 0.171167i 0.0240197 0.00705283i
\(590\) −0.0564593 + 0.0226029i −0.00232439 + 0.000930546i
\(591\) 0.347180 + 1.00311i 0.0142811 + 0.0412625i
\(592\) −6.54682 9.19372i −0.269073 0.377860i
\(593\) 8.29945 + 34.2108i 0.340818 + 1.40487i 0.841977 + 0.539514i \(0.181392\pi\)
−0.501159 + 0.865355i \(0.667093\pi\)
\(594\) 2.12136 + 4.64513i 0.0870405 + 0.190592i
\(595\) 0.129904 1.42656i 0.00532554 0.0584831i
\(596\) 15.9005 + 10.2186i 0.651309 + 0.418571i
\(597\) 9.15002 + 15.8483i 0.374485 + 0.648628i
\(598\) 2.61492 20.4597i 0.106932 0.836660i
\(599\) −3.02160 + 5.23357i −0.123459 + 0.213838i −0.921130 0.389256i \(-0.872732\pi\)
0.797670 + 0.603094i \(0.206066\pi\)
\(600\) −0.213760 + 4.48738i −0.00872673 + 0.183197i
\(601\) −4.67022 32.4821i −0.190502 1.32497i −0.830682 0.556747i \(-0.812049\pi\)
0.640180 0.768225i \(-0.278860\pi\)
\(602\) −1.11597 + 0.975601i −0.0454835 + 0.0397625i
\(603\) 0.695533 + 0.204227i 0.0283243 + 0.00831676i
\(604\) −2.76872 + 0.264380i −0.112657 + 0.0107575i
\(605\) 3.51314 + 10.1506i 0.142829 + 0.412679i
\(606\) 0.597612 + 0.469967i 0.0242763 + 0.0190911i
\(607\) −10.8570 10.3521i −0.440670 0.420178i 0.436986 0.899468i \(-0.356046\pi\)
−0.877657 + 0.479290i \(0.840894\pi\)
\(608\) −0.310941 0.358845i −0.0126103 0.0145531i
\(609\) −1.45074 + 7.70907i −0.0587869 + 0.312387i
\(610\) −6.16080 + 3.95931i −0.249444 + 0.160308i
\(611\) 1.94893 5.63105i 0.0788451 0.227808i
\(612\) 0.179172 0.738559i 0.00724261 0.0298545i
\(613\) −20.5051 16.1254i −0.828193 0.651298i 0.111330 0.993783i \(-0.464489\pi\)
−0.939523 + 0.342485i \(0.888731\pi\)
\(614\) −29.0855 5.60577i −1.17380 0.226231i
\(615\) 0.240351 0.526295i 0.00969189 0.0212223i
\(616\) −11.6709 + 6.80670i −0.470236 + 0.274250i
\(617\) −6.63572 14.5302i −0.267144 0.584964i 0.727755 0.685837i \(-0.240564\pi\)
−0.994899 + 0.100873i \(0.967836\pi\)
\(618\) 5.76897 4.53677i 0.232062 0.182496i
\(619\) 20.9446 10.7977i 0.841835 0.433996i 0.0173294 0.999850i \(-0.494484\pi\)
0.824506 + 0.565854i \(0.191453\pi\)
\(620\) −0.455780 + 0.789434i −0.0183046 + 0.0317044i
\(621\) 4.47970 + 1.71240i 0.179764 + 0.0687162i
\(622\) 30.2326 1.21222
\(623\) 5.09090 17.6238i 0.203962 0.706082i
\(624\) 0.612074 + 4.25707i 0.0245026 + 0.170419i
\(625\) 10.2349 14.3729i 0.409396 0.574917i
\(626\) −23.9976 + 22.8817i −0.959139 + 0.914537i
\(627\) 1.40647 + 1.97512i 0.0561692 + 0.0788786i
\(628\) 19.6983 + 3.79654i 0.786049 + 0.151498i
\(629\) 1.22071 8.49023i 0.0486729 0.338528i
\(630\) −1.88231 + 0.0979477i −0.0749931 + 0.00390233i
\(631\) 6.25016 + 7.21307i 0.248815 + 0.287148i 0.866394 0.499361i \(-0.166432\pi\)
−0.617579 + 0.786509i \(0.711886\pi\)
\(632\) 8.91519 + 4.59610i 0.354627 + 0.182823i
\(633\) 1.35192 + 28.3804i 0.0537341 + 1.12802i
\(634\) 11.2950 2.17693i 0.448582 0.0864571i
\(635\) −3.99546 3.80966i −0.158555 0.151182i
\(636\) 1.02353 7.11882i 0.0405856 0.282279i
\(637\) 27.8501 11.4342i 1.10346 0.453038i
\(638\) −6.28962 + 13.7724i −0.249009 + 0.545253i
\(639\) 0.828611 + 3.41558i 0.0327793 + 0.135118i
\(640\) 0.709184 + 0.0677189i 0.0280330 + 0.00267682i
\(641\) −3.45852 1.38458i −0.136603 0.0546877i 0.302354 0.953196i \(-0.402228\pi\)
−0.438957 + 0.898508i \(0.644652\pi\)
\(642\) −0.403427 + 8.46898i −0.0159220 + 0.334244i
\(643\) −8.36510 −0.329887 −0.164944 0.986303i \(-0.552744\pi\)
−0.164944 + 0.986303i \(0.552744\pi\)
\(644\) −3.32974 + 12.2439i −0.131210 + 0.482477i
\(645\) −0.399130 −0.0157157
\(646\) 0.0171701 0.360445i 0.000675550 0.0141815i
\(647\) −23.9299 9.58007i −0.940780 0.376632i −0.149968 0.988691i \(-0.547917\pi\)
−0.790812 + 0.612059i \(0.790341\pi\)
\(648\) −0.995472 0.0950560i −0.0391058 0.00373415i
\(649\) 0.102775 + 0.423643i 0.00403426 + 0.0166294i
\(650\) 8.02642 17.5754i 0.314822 0.689364i
\(651\) 3.08557 + 1.39280i 0.120933 + 0.0545880i
\(652\) 2.20082 15.3070i 0.0861907 0.599469i
\(653\) 25.7427 + 24.5456i 1.00739 + 0.960543i 0.999223 0.0394236i \(-0.0125522\pi\)
0.00816599 + 0.999967i \(0.497401\pi\)
\(654\) 9.36444 1.80485i 0.366179 0.0705752i
\(655\) 0.515391 + 10.8194i 0.0201380 + 0.422749i
\(656\) 0.721864 + 0.372147i 0.0281840 + 0.0145299i
\(657\) −1.03427 1.19361i −0.0403507 0.0465672i
\(658\) −1.66539 + 3.26551i −0.0649235 + 0.127303i
\(659\) 5.21449 36.2676i 0.203128 1.41278i −0.591802 0.806083i \(-0.701583\pi\)
0.794930 0.606701i \(-0.207508\pi\)
\(660\) −3.57225 0.688495i −0.139050 0.0267997i
\(661\) −23.7701 33.3805i −0.924552 1.29835i −0.954318 0.298794i \(-0.903416\pi\)
0.0297659 0.999557i \(-0.490524\pi\)
\(662\) 0.251225 0.239542i 0.00976413 0.00931008i
\(663\) −1.89595 + 2.66249i −0.0736327 + 0.103403i
\(664\) −2.34029 16.2771i −0.0908209 0.631673i
\(665\) −0.868806 + 0.214812i −0.0336909 + 0.00833006i
\(666\) −11.2865 −0.437344
\(667\) 4.86075 + 13.3625i 0.188209 + 0.517400i
\(668\) −1.18805 + 2.05776i −0.0459670 + 0.0796172i
\(669\) 6.41598 3.30767i 0.248056 0.127882i
\(670\) −0.405936 + 0.319232i −0.0156827 + 0.0123330i
\(671\) 21.8070 + 47.7506i 0.841848 + 1.84339i
\(672\) −0.0116123 2.64573i −0.000447953 0.102061i
\(673\) −16.7120 + 36.5941i −0.644199 + 1.41060i 0.252343 + 0.967638i \(0.418799\pi\)
−0.896541 + 0.442960i \(0.853928\pi\)
\(674\) −11.9798 2.30892i −0.461446 0.0889365i
\(675\) 3.53132 + 2.77706i 0.135921 + 0.106889i
\(676\) 1.29603 5.34233i 0.0498475 0.205474i
\(677\) −3.91147 + 11.3015i −0.150330 + 0.434350i −0.994872 0.101139i \(-0.967751\pi\)
0.844542 + 0.535489i \(0.179873\pi\)
\(678\) 11.6997 7.51892i 0.449323 0.288762i
\(679\) −28.4941 + 10.0022i −1.09350 + 0.383847i
\(680\) 0.354553 + 0.409177i 0.0135965 + 0.0156912i
\(681\) −14.3195 13.6536i −0.548723 0.523206i
\(682\) 5.13617 + 4.03913i 0.196674 + 0.154666i
\(683\) 3.88537 + 11.2260i 0.148669 + 0.429552i 0.994605 0.103733i \(-0.0330787\pi\)
−0.845936 + 0.533285i \(0.820957\pi\)
\(684\) −0.472670 + 0.0451345i −0.0180730 + 0.00172576i
\(685\) 6.24984 + 1.83512i 0.238794 + 0.0701163i
\(686\) −17.9392 + 4.60292i −0.684920 + 0.175740i
\(687\) −2.96588 20.6282i −0.113155 0.787014i
\(688\) 0.0266579 0.559619i 0.00101632 0.0213353i
\(689\) −15.4659 + 26.7877i −0.589203 + 1.02053i
\(690\) −2.84491 + 1.89199i −0.108304 + 0.0720269i
\(691\) 9.96456 + 17.2591i 0.379070 + 0.656568i 0.990927 0.134400i \(-0.0429108\pi\)
−0.611858 + 0.790968i \(0.709577\pi\)
\(692\) 9.23629 + 5.93580i 0.351111 + 0.225645i
\(693\) −1.22524 + 13.4551i −0.0465431 + 0.511119i
\(694\) −7.71442 16.8922i −0.292835 0.641220i
\(695\) 2.31605 + 9.54689i 0.0878528 + 0.362134i
\(696\) −1.71981 2.41514i −0.0651892 0.0915455i
\(697\) 0.201871 + 0.583269i 0.00764642 + 0.0220929i
\(698\) 7.80887 3.12620i 0.295570 0.118328i
\(699\) 3.86268 1.13418i 0.146100 0.0428988i
\(700\) −6.38209 + 10.0272i −0.241220 + 0.378993i
\(701\) −37.8439 + 24.3208i −1.42935 + 0.918585i −0.429466 + 0.903083i \(0.641298\pi\)
−0.999880 + 0.0155017i \(0.995065\pi\)
\(702\) 3.82275 + 1.97076i 0.144280 + 0.0743816i
\(703\) −5.26222 + 1.01421i −0.198468 + 0.0382516i
\(704\) 1.20393 4.96266i 0.0453748 0.187037i
\(705\) −0.916333 + 0.366844i −0.0345111 + 0.0138162i
\(706\) −15.8730 + 18.3184i −0.597387 + 0.689422i
\(707\) 0.755782 + 1.86410i 0.0284241 + 0.0701066i
\(708\) −0.0819081 0.0240504i −0.00307830 0.000903869i
\(709\) −26.1122 + 36.6694i −0.980663 + 1.37715i −0.0551311 + 0.998479i \(0.517558\pi\)
−0.925532 + 0.378670i \(0.876382\pi\)
\(710\) −2.32451 0.930595i −0.0872375 0.0349246i
\(711\) 8.91519 4.59610i 0.334346 0.172367i
\(712\) 3.46676 + 6.00460i 0.129922 + 0.225032i
\(713\) 6.09879 0.679021i 0.228402 0.0254295i
\(714\) 1.38116 1.46130i 0.0516885 0.0546879i
\(715\) 13.1626 + 8.45912i 0.492255 + 0.316353i
\(716\) 2.78625 2.19113i 0.104127 0.0818865i
\(717\) 1.05831 + 0.101056i 0.0395232 + 0.00377401i
\(718\) −2.84742 + 2.71501i −0.106265 + 0.101323i
\(719\) 42.1560 4.02541i 1.57215 0.150122i 0.727755 0.685838i \(-0.240564\pi\)
0.844399 + 0.535715i \(0.179958\pi\)
\(720\) 0.466529 0.538403i 0.0173865 0.0200651i
\(721\) 19.2076 2.84774i 0.715330 0.106055i
\(722\) 18.0140 5.28940i 0.670413 0.196851i
\(723\) 4.63601 13.3949i 0.172415 0.498161i
\(724\) 0.0289022 + 0.606733i 0.00107414 + 0.0225490i
\(725\) 0.633778 + 13.3046i 0.0235379 + 0.494122i
\(726\) −4.93135 + 14.2482i −0.183019 + 0.528800i
\(727\) 30.8244 9.05087i 1.14322 0.335678i 0.345326 0.938483i \(-0.387768\pi\)
0.797889 + 0.602804i \(0.205950\pi\)
\(728\) −4.18273 + 10.5823i −0.155022 + 0.392207i
\(729\) −0.654861 + 0.755750i −0.0242541 + 0.0279907i
\(730\) 1.12007 0.106953i 0.0414555 0.00395852i
\(731\) 0.308153 0.293823i 0.0113974 0.0108674i
\(732\) −10.2332 0.977148i −0.378228 0.0361164i
\(733\) −19.3165 + 15.1907i −0.713472 + 0.561081i −0.907570 0.419901i \(-0.862065\pi\)
0.194097 + 0.980982i \(0.437822\pi\)
\(734\) 21.7336 + 13.9674i 0.802203 + 0.515544i
\(735\) −4.45239 2.24612i −0.164229 0.0828493i
\(736\) −2.46274 4.11520i −0.0907780 0.151688i
\(737\) 1.85088 + 3.20582i 0.0681780 + 0.118088i
\(738\) 0.721864 0.372147i 0.0265722 0.0136989i
\(739\) 27.8899 + 11.1654i 1.02595 + 0.410727i 0.822746 0.568410i \(-0.192441\pi\)
0.203201 + 0.979137i \(0.434865\pi\)
\(740\) 4.66402 6.54970i 0.171453 0.240772i
\(741\) 1.95941 + 0.575334i 0.0719806 + 0.0211354i
\(742\) 11.6968 15.0087i 0.429401 0.550988i
\(743\) −30.7857 + 35.5285i −1.12942 + 1.30342i −0.182041 + 0.983291i \(0.558270\pi\)
−0.947375 + 0.320125i \(0.896275\pi\)
\(744\) −1.18789 + 0.475558i −0.0435501 + 0.0174348i
\(745\) −3.17454 + 13.0856i −0.116306 + 0.479421i
\(746\) −11.4169 + 2.20043i −0.418003 + 0.0805635i
\(747\) −14.6164 7.53529i −0.534787 0.275702i
\(748\) 3.26484 2.09819i 0.119374 0.0767173i
\(749\) −12.0448 + 18.9242i −0.440108 + 0.691476i
\(750\) −6.48860 + 1.90522i −0.236930 + 0.0695690i
\(751\) −33.0300 + 13.2232i −1.20528 + 0.482522i −0.885353 0.464920i \(-0.846083\pi\)
−0.319929 + 0.947442i \(0.603659\pi\)
\(752\) −0.453149 1.30929i −0.0165247 0.0477449i
\(753\) 4.62892 + 6.50040i 0.168687 + 0.236888i
\(754\) 3.00630 + 12.3921i 0.109483 + 0.451295i
\(755\) −0.823117 1.80237i −0.0299563 0.0655951i
\(756\) −2.16188 1.52521i −0.0786268 0.0554714i
\(757\) −21.7237 13.9610i −0.789560 0.507419i 0.0826336 0.996580i \(-0.473667\pi\)
−0.872194 + 0.489160i \(0.837303\pi\)
\(758\) 10.6575 + 18.4594i 0.387099 + 0.670475i
\(759\) 10.5217 + 22.1150i 0.381915 + 0.802724i
\(760\) 0.169133 0.292947i 0.00613510 0.0106263i
\(761\) 0.796500 16.7206i 0.0288731 0.606121i −0.937346 0.348399i \(-0.886725\pi\)
0.966219 0.257721i \(-0.0829717\pi\)
\(762\) −1.10283 7.67033i −0.0399512 0.277867i
\(763\) 23.8802 + 8.14783i 0.864522 + 0.294971i
\(764\) −4.43224 1.30142i −0.160353 0.0470838i
\(765\) 0.538967 0.0514651i 0.0194864 0.00186072i
\(766\) 5.93374 + 17.1444i 0.214395 + 0.619453i
\(767\) 0.288597 + 0.226955i 0.0104206 + 0.00819486i
\(768\) 0.723734 + 0.690079i 0.0261155 + 0.0249011i
\(769\) −10.1157 11.6741i −0.364780 0.420978i 0.543456 0.839438i \(-0.317116\pi\)
−0.908235 + 0.418459i \(0.862570\pi\)
\(770\) −7.30186 6.27120i −0.263141 0.225998i
\(771\) −7.22574 + 4.64370i −0.260229 + 0.167239i
\(772\) −2.34288 + 6.76931i −0.0843222 + 0.243633i
\(773\) 11.1019 45.7628i 0.399309 1.64597i −0.317172 0.948368i \(-0.602733\pi\)
0.716481 0.697606i \(-0.245751\pi\)
\(774\) −0.440389 0.346326i −0.0158294 0.0124484i
\(775\) 5.64443 + 1.08788i 0.202754 + 0.0390776i
\(776\) 4.74155 10.3825i 0.170212 0.372711i
\(777\) −25.9259 14.8170i −0.930088 0.531557i
\(778\) −13.5570 29.6858i −0.486043 1.06429i
\(779\) 0.303120 0.238376i 0.0108604 0.00854071i
\(780\) −2.72336 + 1.40399i −0.0975120 + 0.0502709i
\(781\) −8.97397 + 15.5434i −0.321114 + 0.556186i
\(782\) 0.803637 3.55504i 0.0287380 0.127128i
\(783\) −2.96490 −0.105957
\(784\) 3.44665 6.09267i 0.123095 0.217595i
\(785\) 2.03390 + 14.1461i 0.0725930 + 0.504895i
\(786\) −8.81934 + 12.3850i −0.314575 + 0.441759i
\(787\) −21.7425 + 20.7314i −0.775036 + 0.738996i −0.970339 0.241747i \(-0.922279\pi\)
0.195303 + 0.980743i \(0.437431\pi\)
\(788\) −0.615726 0.864666i −0.0219343 0.0308025i
\(789\) −21.2749 4.10039i −0.757405 0.145978i
\(790\) −1.01693 + 7.07287i −0.0361806 + 0.251642i
\(791\) 36.7459 1.91210i 1.30653 0.0679865i
\(792\) −3.34412 3.85932i −0.118828 0.137135i
\(793\) 39.2967 + 20.2588i 1.39547 + 0.719413i
\(794\) −0.350003 7.34747i −0.0124212 0.260752i
\(795\) 5.03107 0.969660i 0.178434 0.0343903i
\(796\) −13.2444 12.6285i −0.469434 0.447604i
\(797\) 7.30072 50.7777i 0.258605 1.79864i −0.284186 0.958769i \(-0.591723\pi\)
0.542791 0.839868i \(-0.317368\pi\)
\(798\) −1.14501 0.516847i −0.0405329 0.0182962i
\(799\) 0.437410 0.957794i 0.0154744 0.0338843i
\(800\) −1.05914 4.36584i −0.0374463 0.154356i
\(801\) 6.90212 + 0.659072i 0.243874 + 0.0232872i
\(802\) −32.3481 12.9502i −1.14225 0.457289i
\(803\) 0.383760 8.05610i 0.0135426 0.284294i
\(804\) −0.724896 −0.0255651
\(805\) −9.01878 + 0.611229i −0.317870 + 0.0215430i
\(806\) 5.50312 0.193839
\(807\) 1.45018 30.4431i 0.0510489 1.07165i
\(808\) −0.705810 0.282564i −0.0248303 0.00994055i
\(809\) 25.9080 + 2.47391i 0.910876 + 0.0869781i 0.539962 0.841689i \(-0.318439\pi\)
0.370914 + 0.928667i \(0.379045\pi\)
\(810\) −0.167957 0.692328i −0.00590141 0.0243259i
\(811\) −9.35457 + 20.4837i −0.328483 + 0.719278i −0.999760 0.0219290i \(-0.993019\pi\)
0.671276 + 0.741207i \(0.265746\pi\)
\(812\) −0.779923 7.80552i −0.0273699 0.273920i
\(813\) −2.67469 + 18.6029i −0.0938054 + 0.652431i
\(814\) −41.7130 39.7733i −1.46204 1.39405i
\(815\) 10.8179 2.08498i 0.378935 0.0730338i
\(816\) 0.0361614 + 0.759121i 0.00126590 + 0.0265745i
\(817\) −0.236447 0.121897i −0.00827225 0.00426464i
\(818\) 17.0926 + 19.7259i 0.597628 + 0.689700i
\(819\) 6.19389 + 9.54551i 0.216432 + 0.333547i
\(820\) −0.0823406 + 0.572691i −0.00287546 + 0.0199992i
\(821\) 18.1755 + 3.50304i 0.634329 + 0.122257i 0.496272 0.868167i \(-0.334702\pi\)
0.138057 + 0.990424i \(0.455914\pi\)
\(822\) 5.30357 + 7.44782i 0.184983 + 0.259773i
\(823\) 16.9123 16.1258i 0.589526 0.562111i −0.335489 0.942044i \(-0.608901\pi\)
0.925014 + 0.379933i \(0.124053\pi\)
\(824\) −4.25713 + 5.97831i −0.148304 + 0.208264i
\(825\) 3.26489 + 22.7078i 0.113669 + 0.790584i
\(826\) −0.156575 0.162775i −0.00544795 0.00566367i
\(827\) 28.6345 0.995719 0.497859 0.867258i \(-0.334120\pi\)
0.497859 + 0.867258i \(0.334120\pi\)
\(828\) −4.78068 0.380959i −0.166140 0.0132392i
\(829\) −18.9919 + 32.8950i −0.659616 + 1.14249i 0.321099 + 0.947046i \(0.395948\pi\)
−0.980715 + 0.195443i \(0.937385\pi\)
\(830\) 10.4129 5.36821i 0.361436 0.186333i
\(831\) −5.04406 + 3.96669i −0.174976 + 0.137603i
\(832\) −1.78664 3.91219i −0.0619405 0.135631i
\(833\) 5.09102 1.54353i 0.176394 0.0534801i
\(834\) −5.72838 + 12.5434i −0.198358 + 0.434343i
\(835\) −1.66217 0.320356i −0.0575216 0.0110864i
\(836\) −1.90596 1.49886i −0.0659189 0.0518392i
\(837\) −0.301664 + 1.24348i −0.0104270 + 0.0429808i
\(838\) −1.21507 + 3.51072i −0.0419739 + 0.121276i
\(839\) 5.52731 3.55219i 0.190824 0.122635i −0.441740 0.897143i \(-0.645639\pi\)
0.632564 + 0.774508i \(0.282002\pi\)
\(840\) 1.77847 0.624289i 0.0613631 0.0215400i
\(841\) 13.2343 + 15.2732i 0.456356 + 0.526663i
\(842\) −11.6493 11.1075i −0.401460 0.382791i
\(843\) −2.59064 2.03730i −0.0892262 0.0701683i
\(844\) −9.29283 26.8499i −0.319872 0.924211i
\(845\) 3.89859 0.372270i 0.134116 0.0128065i
\(846\) −1.32937 0.390338i −0.0457046 0.0134201i
\(847\) −30.0328 + 26.2552i −1.03194 + 0.902140i
\(848\) 1.02353 + 7.11882i 0.0351482 + 0.244461i
\(849\) −0.404064 + 8.48236i −0.0138675 + 0.291114i
\(850\) 1.70710 2.95678i 0.0585530 0.101417i
\(851\) −54.1216 + 0.848726i −1.85526 + 0.0290939i
\(852\) −1.75733 3.04378i −0.0602050 0.104278i
\(853\) 26.1037 + 16.7758i 0.893774 + 0.574394i 0.904938 0.425544i \(-0.139917\pi\)
−0.0111639 + 0.999938i \(0.503554\pi\)
\(854\) −22.2235 15.6787i −0.760472 0.536515i
\(855\) −0.140521 0.307698i −0.00480571 0.0105230i
\(856\) −1.99890 8.23958i −0.0683210 0.281623i
\(857\) −11.7431 16.4908i −0.401136 0.563316i 0.563764 0.825936i \(-0.309353\pi\)
−0.964899 + 0.262620i \(0.915414\pi\)
\(858\) 7.18331 + 20.7548i 0.245234 + 0.708557i
\(859\) −37.4034 + 14.9741i −1.27619 + 0.510908i −0.908050 0.418863i \(-0.862429\pi\)
−0.368138 + 0.929771i \(0.620005\pi\)
\(860\) 0.382962 0.112448i 0.0130589 0.00383444i
\(861\) 2.14673 + 0.0928198i 0.0731603 + 0.00316329i
\(862\) 0.804186 0.516819i 0.0273907 0.0176029i
\(863\) −18.4122 9.49215i −0.626759 0.323117i 0.115422 0.993317i \(-0.463178\pi\)
−0.742181 + 0.670200i \(0.766208\pi\)
\(864\) 0.981929 0.189251i 0.0334059 0.00643846i
\(865\) −1.84403 + 7.60120i −0.0626990 + 0.258449i
\(866\) −31.0937 + 12.4480i −1.05661 + 0.423001i
\(867\) 10.7544 12.4112i 0.365239 0.421508i
\(868\) −3.35298 0.467074i −0.113808 0.0158535i
\(869\) 49.1455 + 14.4304i 1.66715 + 0.489518i
\(870\) 1.22521 1.72057i 0.0415385 0.0583327i
\(871\) 2.89434 + 1.15872i 0.0980711 + 0.0392617i
\(872\) −8.47663 + 4.37001i −0.287055 + 0.147987i
\(873\) −5.70700 9.88481i −0.193153 0.334550i
\(874\) −2.26317 + 0.251975i −0.0765529 + 0.00852317i
\(875\) −17.4060 4.14184i −0.588429 0.140020i
\(876\) 1.32865 + 0.853874i 0.0448910 + 0.0288497i
\(877\) 3.61605 2.84369i 0.122105 0.0960247i −0.555239 0.831691i \(-0.687373\pi\)
0.677344 + 0.735666i \(0.263131\pi\)
\(878\) 15.9393 + 1.52202i 0.537925 + 0.0513656i
\(879\) −13.0080 + 12.4031i −0.438749 + 0.418346i
\(880\) 3.62152 0.345814i 0.122082 0.0116574i
\(881\) −16.5835 + 19.1384i −0.558713 + 0.644789i −0.962891 0.269891i \(-0.913012\pi\)
0.404178 + 0.914681i \(0.367558\pi\)
\(882\) −2.96369 6.34165i −0.0997925 0.213535i
\(883\) 19.5502 5.74044i 0.657915 0.193181i 0.0643003 0.997931i \(-0.479518\pi\)
0.593615 + 0.804749i \(0.297700\pi\)
\(884\) 1.06904 3.08880i 0.0359558 0.103887i
\(885\) −0.00289372 0.0607467i −9.72715e−5 0.00204198i
\(886\) −1.24518 26.1395i −0.0418325 0.878173i
\(887\) −11.1262 + 32.1471i −0.373582 + 1.07939i 0.588937 + 0.808179i \(0.299547\pi\)
−0.962519 + 0.271215i \(0.912575\pi\)
\(888\) 10.8293 3.17978i 0.363409 0.106706i
\(889\) 7.53639 19.0671i 0.252762 0.639490i
\(890\) −3.23469 + 3.73303i −0.108427 + 0.125131i
\(891\) −5.08348 + 0.485414i −0.170303 + 0.0162620i
\(892\) −5.22421 + 4.98128i −0.174920 + 0.166785i
\(893\) −0.654879 0.0625334i −0.0219147 0.00209260i
\(894\) −14.8571 + 11.6838i −0.496897 + 0.390764i
\(895\) 2.12435 + 1.36523i 0.0710091 + 0.0456348i
\(896\) 0.756529 + 2.53528i 0.0252739 + 0.0846979i
\(897\) 18.4792 + 9.16282i 0.617002 + 0.305938i
\(898\) −7.76351 13.4468i −0.259072 0.448725i
\(899\) −3.37199 + 1.73838i −0.112462 + 0.0579783i
\(900\) −4.17067 1.66968i −0.139022 0.0556561i
\(901\) −3.17048 + 4.45231i −0.105624 + 0.148328i
\(902\) 3.97931 + 1.16843i 0.132497 + 0.0389045i
\(903\) −0.556946 1.37368i −0.0185340 0.0457132i
\(904\) −9.10743 + 10.5105i −0.302909 + 0.349575i
\(905\) −0.401735 + 0.160830i −0.0133541 + 0.00534618i
\(906\) 0.655719 2.70291i 0.0217848 0.0897982i
\(907\) −39.9607 + 7.70179i −1.32687 + 0.255734i −0.802957 0.596037i \(-0.796741\pi\)
−0.523915 + 0.851770i \(0.675529\pi\)
\(908\) 17.5861 + 9.06625i 0.583615 + 0.300874i
\(909\) −0.639579 + 0.411033i −0.0212135 + 0.0136331i
\(910\) −8.09892 0.350179i −0.268477 0.0116083i
\(911\) −44.9349 + 13.1941i −1.48876 + 0.437139i −0.922145 0.386844i \(-0.873565\pi\)
−0.566615 + 0.823983i \(0.691747\pi\)
\(912\) 0.440808 0.176473i 0.0145966 0.00584360i
\(913\) −27.4657 79.3568i −0.908981 2.62633i
\(914\) −0.0867503 0.121824i −0.00286945 0.00402957i
\(915\) −1.72655 7.11693i −0.0570779 0.235278i
\(916\) 8.65737 + 18.9570i 0.286048 + 0.626357i
\(917\) −36.5178 + 16.8712i −1.20592 + 0.557137i
\(918\) 0.639337 + 0.410877i 0.0211013 + 0.0135610i
\(919\) 15.1791 + 26.2910i 0.500713 + 0.867260i 1.00000 0.000823335i \(0.000262076\pi\)
−0.499287 + 0.866437i \(0.666405\pi\)
\(920\) 2.19663 2.61686i 0.0724209 0.0862752i
\(921\) 14.8104 25.6524i 0.488019 0.845274i
\(922\) 0.147095 3.08790i 0.00484431 0.101695i
\(923\) 2.15123 + 14.9621i 0.0708085 + 0.492484i
\(924\) −2.61514 13.2553i −0.0860318 0.436068i
\(925\) −48.6505 14.2851i −1.59962 0.469690i
\(926\) 28.8983 2.75945i 0.949657 0.0906812i
\(927\) 2.40041 + 6.93551i 0.0788396 + 0.227792i
\(928\) 2.33057 + 1.83278i 0.0765047 + 0.0601639i
\(929\) 22.4234 + 21.3807i 0.735688 + 0.701477i 0.962143 0.272545i \(-0.0878653\pi\)
−0.226455 + 0.974022i \(0.572714\pi\)
\(930\) −0.596944 0.688911i −0.0195746 0.0225903i
\(931\) −1.95165 2.69041i −0.0639627 0.0881746i
\(932\) −3.38667 + 2.17648i −0.110934 + 0.0712931i
\(933\) −9.88812 + 28.5698i −0.323723 + 0.935335i
\(934\) 9.56105 39.4112i 0.312847 1.28957i
\(935\) 2.17329 + 1.70909i 0.0710741 + 0.0558933i
\(936\) −4.22313 0.813941i −0.138037 0.0266045i
\(937\) 11.7068 25.6343i 0.382444 0.837436i −0.616308 0.787505i \(-0.711372\pi\)
0.998753 0.0499314i \(-0.0159003\pi\)
\(938\) −1.66514 0.951648i −0.0543687 0.0310724i
\(939\) −13.7744 30.1617i −0.449510 0.984289i
\(940\) 0.775863 0.610145i 0.0253059 0.0199007i
\(941\) 39.3627 20.2929i 1.28319 0.661529i 0.324472 0.945895i \(-0.394813\pi\)
0.958716 + 0.284366i \(0.0917831\pi\)
\(942\) −10.0304 + 17.3732i −0.326809 + 0.566050i
\(943\) 3.43353 1.83882i 0.111811 0.0598801i
\(944\) 0.0853661 0.00277843
\(945\) 0.523083 1.81082i 0.0170159 0.0589061i
\(946\) −0.407162 2.83187i −0.0132380 0.0920721i
\(947\) 16.4237 23.0639i 0.533699 0.749476i −0.456411 0.889769i \(-0.650865\pi\)
0.990110 + 0.140294i \(0.0448046\pi\)
\(948\) −7.25919 + 6.92162i −0.235768 + 0.224804i
\(949\) −3.94012 5.53312i −0.127902 0.179613i
\(950\) −2.09457 0.403695i −0.0679567 0.0130976i
\(951\) −1.63703 + 11.3858i −0.0530843 + 0.369210i
\(952\) −0.913513 + 1.79123i −0.0296071 + 0.0580540i
\(953\) 20.1021 + 23.1991i 0.651171 + 0.751491i 0.981308 0.192442i \(-0.0616406\pi\)
−0.330138 + 0.943933i \(0.607095\pi\)
\(954\) 6.39252 + 3.29557i 0.206966 + 0.106698i
\(955\) −0.156586 3.28714i −0.00506700 0.106370i
\(956\) −1.04391 + 0.201197i −0.0337625 + 0.00650718i
\(957\) −10.9578 10.4482i −0.354214 0.337742i
\(958\) 2.19672 15.2785i 0.0709728 0.493627i
\(959\) 2.40513 + 24.0707i 0.0776658 + 0.777284i
\(960\) −0.295946 + 0.648031i −0.00955161 + 0.0209151i
\(961\) −6.92253 28.5351i −0.223308 0.920486i
\(962\) −48.3218 4.61417i −1.55796 0.148767i
\(963\) −7.87124 3.15117i −0.253647 0.101545i
\(964\) −0.674448 + 14.1584i −0.0217225 + 0.456012i
\(965\) −5.10320 −0.164278
\(966\) −10.4814 7.15119i −0.337235 0.230086i
\(967\) 15.3110 0.492367 0.246184 0.969223i \(-0.420823\pi\)
0.246184 + 0.969223i \(0.420823\pi\)
\(968\) 0.717413 15.0604i 0.0230585 0.484058i
\(969\) 0.335005 + 0.134116i 0.0107619 + 0.00430843i
\(970\) 8.09462 + 0.772943i 0.259903 + 0.0248177i
\(971\) −1.22424 5.04638i −0.0392877 0.161946i 0.948788 0.315912i \(-0.102310\pi\)
−0.988076 + 0.153966i \(0.950795\pi\)
\(972\) 0.415415 0.909632i 0.0133244 0.0291765i
\(973\) −29.6256 + 21.2929i −0.949752 + 0.682618i
\(974\) 5.44927 37.9005i 0.174606 1.21441i
\(975\) 13.9836 + 13.3333i 0.447833 + 0.427008i
\(976\) 10.0939 1.94545i 0.323099 0.0622722i
\(977\) −2.74784 57.6842i −0.0879112 1.84548i −0.426428 0.904522i \(-0.640228\pi\)
0.338516 0.940960i \(-0.390075\pi\)
\(978\) 13.7453 + 7.08621i 0.439527 + 0.226592i
\(979\) 23.1865 + 26.7586i 0.741043 + 0.855209i
\(980\) 4.90485 + 0.900751i 0.156680 + 0.0287734i
\(981\) −1.35723 + 9.43971i −0.0433329 + 0.301387i
\(982\) −39.4559 7.60451i −1.25909 0.242670i
\(983\) −2.64567 3.71533i −0.0843838 0.118500i 0.770226 0.637771i \(-0.220143\pi\)
−0.854610 + 0.519270i \(0.826204\pi\)
\(984\) −0.587777 + 0.560445i −0.0187377 + 0.0178663i
\(985\) 0.438649 0.615997i 0.0139765 0.0196273i
\(986\) 0.320674 + 2.23033i 0.0102123 + 0.0710283i
\(987\) −2.54122 2.64184i −0.0808878 0.0840906i
\(988\) −2.04213 −0.0649687
\(989\) −2.13781 1.62760i −0.0679785 0.0517546i
\(990\) 1.81900 3.15060i 0.0578116 0.100133i
\(991\) 0.656952 0.338682i 0.0208688 0.0107586i −0.447761 0.894153i \(-0.647778\pi\)
0.468629 + 0.883395i \(0.344748\pi\)
\(992\) 1.00579 0.790961i 0.0319338 0.0251131i
\(993\) 0.144200 + 0.315754i 0.00457605 + 0.0100202i
\(994\) −0.0408131 9.29881i −0.00129451 0.294940i
\(995\) 5.41582 11.8590i 0.171693 0.375955i
\(996\) 16.1473 + 3.11214i 0.511646 + 0.0986118i
\(997\) 34.3188 + 26.9886i 1.08689 + 0.854738i 0.990072 0.140564i \(-0.0448916\pi\)
0.0968163 + 0.995302i \(0.469134\pi\)
\(998\) −6.76777 + 27.8971i −0.214230 + 0.883069i
\(999\) 3.69146 10.6658i 0.116793 0.337450i
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 966.2.y.d.25.4 160
7.2 even 3 inner 966.2.y.d.163.4 yes 160
23.12 even 11 inner 966.2.y.d.403.4 yes 160
161.58 even 33 inner 966.2.y.d.541.4 yes 160
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
966.2.y.d.25.4 160 1.1 even 1 trivial
966.2.y.d.163.4 yes 160 7.2 even 3 inner
966.2.y.d.403.4 yes 160 23.12 even 11 inner
966.2.y.d.541.4 yes 160 161.58 even 33 inner