Properties

Label 441.2.z.a.142.35
Level $441$
Weight $2$
Character 441.142
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [441,2,Mod(4,441)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(441, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([14, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("441.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.z (of order \(21\), degree \(12\), 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: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 142.35
Character \(\chi\) \(=\) 441.142
Dual form 441.2.z.a.382.35

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.295967 - 0.754111i) q^{2} +(-0.878555 + 1.49270i) q^{3} +(0.985016 + 0.913961i) q^{4} +(2.57117 - 1.23821i) q^{5} +(0.865636 + 1.10432i) q^{6} +(0.114478 - 2.64327i) q^{7} +(2.44053 - 1.17530i) q^{8} +(-1.45628 - 2.62283i) q^{9} +O(q^{10})\) \(q+(0.295967 - 0.754111i) q^{2} +(-0.878555 + 1.49270i) q^{3} +(0.985016 + 0.913961i) q^{4} +(2.57117 - 1.23821i) q^{5} +(0.865636 + 1.10432i) q^{6} +(0.114478 - 2.64327i) q^{7} +(2.44053 - 1.17530i) q^{8} +(-1.45628 - 2.62283i) q^{9} +(-0.172768 - 2.30542i) q^{10} +(0.206858 + 0.259392i) q^{11} +(-2.22966 + 0.667365i) q^{12} +(0.950468 - 2.42175i) q^{13} +(-1.95944 - 0.868651i) q^{14} +(-0.410643 + 4.92582i) q^{15} +(0.0368436 + 0.491643i) q^{16} +(-3.33311 + 3.09267i) q^{17} +(-2.40892 + 0.321928i) q^{18} +(2.60922 - 4.51930i) q^{19} +(3.66433 + 1.13030i) q^{20} +(3.84503 + 2.49314i) q^{21} +(0.256834 - 0.0792228i) q^{22} +(-0.899217 + 3.93973i) q^{23} +(-0.389778 + 4.67553i) q^{24} +(1.96032 - 2.45816i) q^{25} +(-1.54496 - 1.43352i) q^{26} +(5.19451 + 0.130513i) q^{27} +(2.52861 - 2.49904i) q^{28} +(1.02304 + 0.315568i) q^{29} +(3.59308 + 1.76755i) q^{30} +(-3.59759 + 6.23120i) q^{31} +(5.55854 + 1.71458i) q^{32} +(-0.568930 + 0.0808864i) q^{33} +(1.34573 + 3.42886i) q^{34} +(-2.97859 - 6.93807i) q^{35} +(0.962704 - 3.91452i) q^{36} +(8.91857 + 2.75102i) q^{37} +(-2.63582 - 3.30521i) q^{38} +(2.77990 + 3.54640i) q^{39} +(4.81976 - 6.04379i) q^{40} +(-9.68129 - 6.60059i) q^{41} +(3.01811 - 2.16169i) q^{42} +(1.50288 - 1.02465i) q^{43} +(-0.0333156 + 0.444566i) q^{44} +(-6.99198 - 4.94057i) q^{45} +(2.70485 + 1.84414i) q^{46} +(-4.30535 + 10.9698i) q^{47} +(-0.766243 - 0.376939i) q^{48} +(-6.97379 - 0.605193i) q^{49} +(-1.27354 - 2.20584i) q^{50} +(-1.68810 - 7.69239i) q^{51} +(3.14961 - 1.51677i) q^{52} +(2.07819 - 0.641036i) q^{53} +(1.63583 - 3.87861i) q^{54} +(0.853052 + 0.410808i) q^{55} +(-2.82725 - 6.58554i) q^{56} +(4.45360 + 7.86523i) q^{57} +(0.540761 - 0.678092i) q^{58} +(-4.52522 + 3.08524i) q^{59} +(-4.90650 + 4.47670i) q^{60} +(8.35243 - 7.74992i) q^{61} +(3.63425 + 4.55721i) q^{62} +(-7.09957 + 3.54910i) q^{63} +(2.32334 - 2.91338i) q^{64} +(-0.554825 - 7.40363i) q^{65} +(-0.107387 + 0.452976i) q^{66} +(-7.21711 + 12.5004i) q^{67} -6.10974 q^{68} +(-5.09080 - 4.80352i) q^{69} +(-6.11364 + 0.192752i) q^{70} +(-0.790457 + 3.46322i) q^{71} +(-6.63671 - 4.68953i) q^{72} +(-10.6526 - 1.60562i) q^{73} +(4.71417 - 5.91139i) q^{74} +(1.94704 + 5.08579i) q^{75} +(6.70060 - 2.06686i) q^{76} +(0.709325 - 0.517089i) q^{77} +(3.49714 - 1.04674i) q^{78} +(0.971604 + 1.68287i) q^{79} +(0.703490 + 1.21848i) q^{80} +(-4.75848 + 7.63917i) q^{81} +(-7.84292 + 5.34721i) q^{82} +(-0.574034 - 1.46262i) q^{83} +(1.50878 + 5.96999i) q^{84} +(-4.74061 + 12.0789i) q^{85} +(-0.327895 - 1.43660i) q^{86} +(-1.36985 + 1.24985i) q^{87} +(0.809707 + 0.389935i) q^{88} +(-2.36917 - 6.03655i) q^{89} +(-5.79513 + 3.81049i) q^{90} +(-6.29255 - 2.78958i) q^{91} +(-4.48650 + 3.05884i) q^{92} +(-6.14061 - 10.8446i) q^{93} +(6.99824 + 6.49342i) q^{94} +(1.11291 - 14.8507i) q^{95} +(-7.44283 + 6.79086i) q^{96} +(3.72865 - 6.45821i) q^{97} +(-2.52039 + 5.07990i) q^{98} +(0.379098 - 0.920303i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} - 22 q^{10} - 5 q^{11} + 2 q^{12} - 4 q^{13} + 52 q^{14} - 4 q^{15} + 38 q^{16} - 37 q^{17} - 16 q^{18} - 14 q^{19} - 11 q^{20} - 6 q^{21} - q^{22} - 20 q^{23} - 26 q^{24} - 97 q^{25} - 44 q^{26} + 14 q^{27} - 22 q^{28} - 53 q^{29} - 9 q^{30} + 10 q^{31} - 10 q^{32} + 2 q^{33} - 7 q^{34} - 32 q^{35} - 22 q^{36} - 39 q^{37} + 59 q^{38} - 26 q^{39} - 19 q^{40} - 17 q^{41} - 83 q^{42} - q^{43} - 31 q^{44} + 81 q^{45} + 56 q^{46} + 50 q^{47} - 23 q^{48} - 19 q^{49} - 21 q^{50} - 30 q^{51} - 9 q^{52} + 50 q^{53} + 48 q^{54} + 20 q^{55} - 239 q^{56} + 33 q^{57} + 17 q^{58} - 37 q^{59} - 152 q^{60} - 105 q^{61} - 30 q^{62} + 6 q^{63} - 88 q^{64} - 5 q^{65} - 99 q^{66} + 13 q^{67} - 290 q^{68} + 64 q^{69} + 17 q^{70} - 19 q^{71} + 11 q^{72} - 40 q^{73} - 57 q^{74} + 69 q^{75} - 41 q^{76} + 19 q^{77} + 81 q^{78} + 13 q^{79} + 163 q^{80} - 179 q^{81} - 28 q^{82} + 73 q^{83} - 341 q^{84} - 10 q^{85} + 15 q^{86} + 13 q^{87} - 13 q^{88} - 104 q^{89} + 171 q^{90} - 49 q^{91} - 91 q^{92} - 275 q^{93} - 4 q^{94} - 29 q^{95} + 231 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{4}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.295967 0.754111i 0.209280 0.533237i −0.787235 0.616654i \(-0.788488\pi\)
0.996515 + 0.0834164i \(0.0265831\pi\)
\(3\) −0.878555 + 1.49270i −0.507234 + 0.861808i
\(4\) 0.985016 + 0.913961i 0.492508 + 0.456981i
\(5\) 2.57117 1.23821i 1.14986 0.553745i 0.240871 0.970557i \(-0.422567\pi\)
0.908993 + 0.416812i \(0.136853\pi\)
\(6\) 0.865636 + 1.10432i 0.353394 + 0.450835i
\(7\) 0.114478 2.64327i 0.0432686 0.999063i
\(8\) 2.44053 1.17530i 0.862858 0.415531i
\(9\) −1.45628 2.62283i −0.485428 0.874277i
\(10\) −0.172768 2.30542i −0.0546339 0.729038i
\(11\) 0.206858 + 0.259392i 0.0623702 + 0.0782097i 0.812038 0.583605i \(-0.198358\pi\)
−0.749668 + 0.661814i \(0.769787\pi\)
\(12\) −2.22966 + 0.667365i −0.643647 + 0.192652i
\(13\) 0.950468 2.42175i 0.263612 0.671673i −0.736376 0.676573i \(-0.763464\pi\)
0.999988 + 0.00489968i \(0.00155962\pi\)
\(14\) −1.95944 0.868651i −0.523683 0.232157i
\(15\) −0.410643 + 4.92582i −0.106028 + 1.27184i
\(16\) 0.0368436 + 0.491643i 0.00921089 + 0.122911i
\(17\) −3.33311 + 3.09267i −0.808397 + 0.750083i −0.971630 0.236505i \(-0.923998\pi\)
0.163233 + 0.986587i \(0.447808\pi\)
\(18\) −2.40892 + 0.321928i −0.567787 + 0.0758793i
\(19\) 2.60922 4.51930i 0.598597 1.03680i −0.394432 0.918925i \(-0.629059\pi\)
0.993029 0.117874i \(-0.0376080\pi\)
\(20\) 3.66433 + 1.13030i 0.819368 + 0.252742i
\(21\) 3.84503 + 2.49314i 0.839054 + 0.544048i
\(22\) 0.256834 0.0792228i 0.0547572 0.0168903i
\(23\) −0.899217 + 3.93973i −0.187500 + 0.821490i 0.790430 + 0.612553i \(0.209857\pi\)
−0.977929 + 0.208937i \(0.933000\pi\)
\(24\) −0.389778 + 4.67553i −0.0795631 + 0.954390i
\(25\) 1.96032 2.45816i 0.392064 0.491633i
\(26\) −1.54496 1.43352i −0.302992 0.281136i
\(27\) 5.19451 + 0.130513i 0.999685 + 0.0251172i
\(28\) 2.52861 2.49904i 0.477863 0.472274i
\(29\) 1.02304 + 0.315568i 0.189975 + 0.0585994i 0.388283 0.921540i \(-0.373068\pi\)
−0.198308 + 0.980140i \(0.563545\pi\)
\(30\) 3.59308 + 1.76755i 0.656004 + 0.322709i
\(31\) −3.59759 + 6.23120i −0.646146 + 1.11916i 0.337890 + 0.941186i \(0.390287\pi\)
−0.984036 + 0.177971i \(0.943047\pi\)
\(32\) 5.55854 + 1.71458i 0.982621 + 0.303098i
\(33\) −0.568930 + 0.0808864i −0.0990380 + 0.0140805i
\(34\) 1.34573 + 3.42886i 0.230791 + 0.588045i
\(35\) −2.97859 6.93807i −0.503474 1.17275i
\(36\) 0.962704 3.91452i 0.160451 0.652419i
\(37\) 8.91857 + 2.75102i 1.46620 + 0.452264i 0.922165 0.386796i \(-0.126418\pi\)
0.544039 + 0.839060i \(0.316894\pi\)
\(38\) −2.63582 3.30521i −0.427586 0.536176i
\(39\) 2.77990 + 3.54640i 0.445141 + 0.567879i
\(40\) 4.81976 6.04379i 0.762072 0.955607i
\(41\) −9.68129 6.60059i −1.51196 1.03084i −0.983297 0.182010i \(-0.941740\pi\)
−0.528667 0.848829i \(-0.677308\pi\)
\(42\) 3.01811 2.16169i 0.465704 0.333556i
\(43\) 1.50288 1.02465i 0.229187 0.156257i −0.443282 0.896382i \(-0.646186\pi\)
0.672469 + 0.740125i \(0.265234\pi\)
\(44\) −0.0333156 + 0.444566i −0.00502252 + 0.0670209i
\(45\) −6.99198 4.94057i −1.04230 0.736496i
\(46\) 2.70485 + 1.84414i 0.398809 + 0.271903i
\(47\) −4.30535 + 10.9698i −0.627999 + 1.60012i 0.161850 + 0.986815i \(0.448254\pi\)
−0.789850 + 0.613301i \(0.789841\pi\)
\(48\) −0.766243 0.376939i −0.110598 0.0544065i
\(49\) −6.97379 0.605193i −0.996256 0.0864562i
\(50\) −1.27354 2.20584i −0.180106 0.311952i
\(51\) −1.68810 7.69239i −0.236381 1.07715i
\(52\) 3.14961 1.51677i 0.436773 0.210339i
\(53\) 2.07819 0.641036i 0.285461 0.0880530i −0.148718 0.988880i \(-0.547515\pi\)
0.434179 + 0.900827i \(0.357039\pi\)
\(54\) 1.63583 3.87861i 0.222608 0.527813i
\(55\) 0.853052 + 0.410808i 0.115025 + 0.0553934i
\(56\) −2.82725 6.58554i −0.377807 0.880029i
\(57\) 4.45360 + 7.86523i 0.589894 + 1.04178i
\(58\) 0.540761 0.678092i 0.0710053 0.0890379i
\(59\) −4.52522 + 3.08524i −0.589133 + 0.401664i −0.820871 0.571114i \(-0.806511\pi\)
0.231738 + 0.972778i \(0.425559\pi\)
\(60\) −4.90650 + 4.47670i −0.633426 + 0.577940i
\(61\) 8.35243 7.74992i 1.06942 0.992276i 0.0694334 0.997587i \(-0.477881\pi\)
0.999986 + 0.00531052i \(0.00169040\pi\)
\(62\) 3.63425 + 4.55721i 0.461551 + 0.578766i
\(63\) −7.09957 + 3.54910i −0.894462 + 0.447144i
\(64\) 2.32334 2.91338i 0.290418 0.364172i
\(65\) −0.554825 7.40363i −0.0688176 0.918307i
\(66\) −0.107387 + 0.452976i −0.0132184 + 0.0557575i
\(67\) −7.21711 + 12.5004i −0.881711 + 1.52717i −0.0322725 + 0.999479i \(0.510274\pi\)
−0.849438 + 0.527688i \(0.823059\pi\)
\(68\) −6.10974 −0.740915
\(69\) −5.09080 4.80352i −0.612861 0.578276i
\(70\) −6.11364 + 0.192752i −0.730720 + 0.0230382i
\(71\) −0.790457 + 3.46322i −0.0938099 + 0.411008i −0.999928 0.0120171i \(-0.996175\pi\)
0.906118 + 0.423025i \(0.139032\pi\)
\(72\) −6.63671 4.68953i −0.782144 0.552667i
\(73\) −10.6526 1.60562i −1.24680 0.187924i −0.507705 0.861531i \(-0.669506\pi\)
−0.739090 + 0.673607i \(0.764744\pi\)
\(74\) 4.71417 5.91139i 0.548012 0.687185i
\(75\) 1.94704 + 5.08579i 0.224825 + 0.587257i
\(76\) 6.70060 2.06686i 0.768611 0.237085i
\(77\) 0.709325 0.517089i 0.0808351 0.0589277i
\(78\) 3.49714 1.04674i 0.395973 0.118520i
\(79\) 0.971604 + 1.68287i 0.109314 + 0.189337i 0.915493 0.402335i \(-0.131801\pi\)
−0.806179 + 0.591672i \(0.798468\pi\)
\(80\) 0.703490 + 1.21848i 0.0786525 + 0.136230i
\(81\) −4.75848 + 7.63917i −0.528720 + 0.848796i
\(82\) −7.84292 + 5.34721i −0.866106 + 0.590501i
\(83\) −0.574034 1.46262i −0.0630084 0.160543i 0.895902 0.444252i \(-0.146530\pi\)
−0.958911 + 0.283709i \(0.908435\pi\)
\(84\) 1.50878 + 5.96999i 0.164621 + 0.651380i
\(85\) −4.74061 + 12.0789i −0.514192 + 1.31014i
\(86\) −0.327895 1.43660i −0.0353578 0.154913i
\(87\) −1.36985 + 1.24985i −0.146863 + 0.133998i
\(88\) 0.809707 + 0.389935i 0.0863151 + 0.0415672i
\(89\) −2.36917 6.03655i −0.251132 0.639873i 0.748600 0.663021i \(-0.230726\pi\)
−0.999732 + 0.0231484i \(0.992631\pi\)
\(90\) −5.79513 + 3.81049i −0.610861 + 0.401661i
\(91\) −6.29255 2.78958i −0.659638 0.292428i
\(92\) −4.48650 + 3.05884i −0.467750 + 0.318907i
\(93\) −6.14061 10.8446i −0.636752 1.12453i
\(94\) 6.99824 + 6.49342i 0.721814 + 0.669745i
\(95\) 1.11291 14.8507i 0.114182 1.52365i
\(96\) −7.44283 + 6.79086i −0.759631 + 0.693089i
\(97\) 3.72865 6.45821i 0.378587 0.655732i −0.612270 0.790649i \(-0.709743\pi\)
0.990857 + 0.134917i \(0.0430768\pi\)
\(98\) −2.52039 + 5.07990i −0.254598 + 0.513147i
\(99\) 0.379098 0.920303i 0.0381007 0.0924939i
\(100\) 4.17761 0.629674i 0.417761 0.0629674i
\(101\) −4.90172 + 2.36054i −0.487740 + 0.234883i −0.661557 0.749895i \(-0.730104\pi\)
0.173817 + 0.984778i \(0.444390\pi\)
\(102\) −6.30054 1.00368i −0.623847 0.0993790i
\(103\) 0.0891285 0.0429220i 0.00878209 0.00422923i −0.429488 0.903073i \(-0.641306\pi\)
0.438270 + 0.898844i \(0.355592\pi\)
\(104\) −0.526634 7.02744i −0.0516407 0.689098i
\(105\) 12.9733 + 1.64934i 1.26606 + 0.160959i
\(106\) 0.131662 1.75691i 0.0127882 0.170646i
\(107\) 4.92441 + 12.5472i 0.476061 + 1.21298i 0.944213 + 0.329335i \(0.106825\pi\)
−0.468152 + 0.883648i \(0.655080\pi\)
\(108\) 4.99740 + 4.87614i 0.480875 + 0.469207i
\(109\) 2.89105 7.36628i 0.276912 0.705561i −0.722980 0.690869i \(-0.757228\pi\)
0.999892 0.0146919i \(-0.00467676\pi\)
\(110\) 0.562270 0.521710i 0.0536104 0.0497431i
\(111\) −11.9419 + 10.8958i −1.13347 + 1.03418i
\(112\) 1.30376 0.0411053i 0.123194 0.00388408i
\(113\) 0.222047 + 0.0334682i 0.0208884 + 0.00314842i 0.159478 0.987201i \(-0.449019\pi\)
−0.138590 + 0.990350i \(0.544257\pi\)
\(114\) 7.24938 1.03067i 0.678967 0.0965306i
\(115\) 2.56617 + 11.2431i 0.239297 + 1.04843i
\(116\) 0.719299 + 1.24586i 0.0667853 + 0.115675i
\(117\) −7.73600 + 1.03384i −0.715193 + 0.0955786i
\(118\) 0.987300 + 4.32565i 0.0908884 + 0.398208i
\(119\) 7.79321 + 9.16435i 0.714402 + 0.840095i
\(120\) 4.78712 + 12.5042i 0.437002 + 1.14148i
\(121\) 2.42324 10.6169i 0.220294 0.965172i
\(122\) −3.37226 8.59238i −0.305310 0.777918i
\(123\) 18.3582 8.65224i 1.65531 0.780146i
\(124\) −9.23876 + 2.84978i −0.829665 + 0.255918i
\(125\) −1.17854 + 5.16353i −0.105412 + 0.461840i
\(126\) 0.575177 + 6.40428i 0.0512408 + 0.570539i
\(127\) −1.23564 5.41369i −0.109645 0.480387i −0.999699 0.0245316i \(-0.992191\pi\)
0.890054 0.455855i \(-0.150667\pi\)
\(128\) 4.30759 + 7.46097i 0.380741 + 0.659463i
\(129\) 0.209123 + 3.14355i 0.0184123 + 0.276774i
\(130\) −5.74737 1.77283i −0.504078 0.155487i
\(131\) −11.2604 5.42274i −0.983828 0.473787i −0.128408 0.991721i \(-0.540987\pi\)
−0.855420 + 0.517935i \(0.826701\pi\)
\(132\) −0.634333 0.440306i −0.0552116 0.0383237i
\(133\) −11.6471 7.41425i −1.00993 0.642897i
\(134\) 7.29067 + 9.14221i 0.629818 + 0.789767i
\(135\) 13.5176 6.09634i 1.16341 0.524689i
\(136\) −4.49974 + 11.4652i −0.385850 + 0.983129i
\(137\) −3.71860 1.79078i −0.317701 0.152997i 0.268236 0.963353i \(-0.413559\pi\)
−0.585937 + 0.810356i \(0.699274\pi\)
\(138\) −5.12910 + 2.41735i −0.436618 + 0.205778i
\(139\) 2.23612 + 1.52456i 0.189665 + 0.129312i 0.654430 0.756123i \(-0.272909\pi\)
−0.464765 + 0.885434i \(0.653861\pi\)
\(140\) 3.40716 9.55643i 0.287958 0.807665i
\(141\) −12.5922 16.0642i −1.06045 1.35285i
\(142\) 2.37770 + 1.62109i 0.199532 + 0.136039i
\(143\) 0.824796 0.254416i 0.0689729 0.0212753i
\(144\) 1.23584 0.812606i 0.102987 0.0677171i
\(145\) 3.02117 0.455368i 0.250894 0.0378162i
\(146\) −4.36364 + 7.55805i −0.361138 + 0.625509i
\(147\) 7.03023 9.87805i 0.579843 0.814728i
\(148\) 6.27062 + 10.8610i 0.515442 + 0.892771i
\(149\) −3.68733 4.62377i −0.302078 0.378794i 0.607505 0.794316i \(-0.292170\pi\)
−0.909583 + 0.415522i \(0.863599\pi\)
\(150\) 4.41152 + 0.0369397i 0.360199 + 0.00301611i
\(151\) −0.110129 + 0.482509i −0.00896221 + 0.0392660i −0.979211 0.202843i \(-0.934982\pi\)
0.970249 + 0.242109i \(0.0778391\pi\)
\(152\) 1.05636 14.0961i 0.0856819 1.14335i
\(153\) 12.9655 + 4.23837i 1.04820 + 0.342652i
\(154\) −0.180006 0.687951i −0.0145053 0.0554367i
\(155\) −1.53447 + 20.4761i −0.123252 + 1.64468i
\(156\) −0.503026 + 6.03399i −0.0402743 + 0.483105i
\(157\) 17.2717 11.7756i 1.37843 0.939798i 0.378531 0.925588i \(-0.376429\pi\)
0.999899 0.0142094i \(-0.00452315\pi\)
\(158\) 1.55663 0.234624i 0.123839 0.0186657i
\(159\) −0.868929 + 3.66528i −0.0689106 + 0.290676i
\(160\) 16.4150 2.47416i 1.29772 0.195600i
\(161\) 10.3108 + 2.82789i 0.812607 + 0.222869i
\(162\) 4.35243 + 5.84936i 0.341959 + 0.459569i
\(163\) −0.381300 + 0.259966i −0.0298657 + 0.0203621i −0.578161 0.815923i \(-0.696229\pi\)
0.548295 + 0.836285i \(0.315277\pi\)
\(164\) −3.50354 15.3500i −0.273581 1.19863i
\(165\) −1.36266 + 0.912430i −0.106083 + 0.0710325i
\(166\) −1.27287 −0.0987939
\(167\) −1.23336 + 1.14439i −0.0954400 + 0.0885554i −0.726450 0.687219i \(-0.758831\pi\)
0.631010 + 0.775775i \(0.282641\pi\)
\(168\) 12.3141 + 1.56554i 0.950053 + 0.120784i
\(169\) 4.56818 + 4.23865i 0.351398 + 0.326050i
\(170\) 7.70576 + 7.14990i 0.591005 + 0.548373i
\(171\) −15.6531 0.262160i −1.19703 0.0200479i
\(172\) 2.41685 + 0.364281i 0.184283 + 0.0277762i
\(173\) −23.6999 + 7.31046i −1.80187 + 0.555804i −0.999176 0.0405832i \(-0.987078\pi\)
−0.802697 + 0.596387i \(0.796602\pi\)
\(174\) 0.537098 + 1.40293i 0.0407173 + 0.106356i
\(175\) −6.27319 5.46307i −0.474208 0.412969i
\(176\) −0.119907 + 0.111257i −0.00903833 + 0.00838634i
\(177\) −0.629675 9.46532i −0.0473293 0.711457i
\(178\) −5.25343 −0.393761
\(179\) 13.0165 12.0776i 0.972900 0.902719i −0.0223817 0.999749i \(-0.507125\pi\)
0.995281 + 0.0970304i \(0.0309344\pi\)
\(180\) −2.37172 11.2569i −0.176778 0.839043i
\(181\) −3.73164 + 4.67933i −0.277371 + 0.347812i −0.900930 0.433964i \(-0.857114\pi\)
0.623560 + 0.781776i \(0.285686\pi\)
\(182\) −3.96604 + 3.91966i −0.293983 + 0.290544i
\(183\) 4.23021 + 19.2764i 0.312706 + 1.42495i
\(184\) 2.43578 + 10.6719i 0.179568 + 0.786741i
\(185\) 26.3376 3.96975i 1.93638 0.291862i
\(186\) −9.99542 + 1.42108i −0.732900 + 0.104198i
\(187\) −1.49170 0.224837i −0.109084 0.0164417i
\(188\) −14.2668 + 6.87055i −1.04052 + 0.501086i
\(189\) 0.939638 13.7156i 0.0683486 0.997661i
\(190\) −10.8697 5.23457i −0.788570 0.379756i
\(191\) 2.26584 + 1.54482i 0.163950 + 0.111779i 0.642516 0.766273i \(-0.277891\pi\)
−0.478566 + 0.878052i \(0.658843\pi\)
\(192\) 2.30761 + 6.02761i 0.166537 + 0.435005i
\(193\) 1.33110 17.7623i 0.0958146 1.27856i −0.717428 0.696633i \(-0.754681\pi\)
0.813243 0.581925i \(-0.197700\pi\)
\(194\) −3.76665 4.72323i −0.270430 0.339108i
\(195\) 11.5388 + 5.67631i 0.826311 + 0.406489i
\(196\) −6.31617 6.96990i −0.451155 0.497850i
\(197\) −16.2163 −1.15536 −0.577682 0.816262i \(-0.696043\pi\)
−0.577682 + 0.816262i \(0.696043\pi\)
\(198\) −0.581811 0.558261i −0.0413475 0.0396739i
\(199\) −20.8685 14.2279i −1.47933 1.00859i −0.990695 0.136103i \(-0.956542\pi\)
−0.488636 0.872488i \(-0.662505\pi\)
\(200\) 1.89515 8.30319i 0.134007 0.587124i
\(201\) −12.3187 21.7552i −0.868892 1.53450i
\(202\) 0.329366 + 4.39509i 0.0231741 + 0.309237i
\(203\) 0.951248 2.66806i 0.0667645 0.187261i
\(204\) 5.36775 9.11999i 0.375817 0.638527i
\(205\) −33.0652 4.98378i −2.30938 0.348082i
\(206\) −0.00598890 0.0799163i −0.000417267 0.00556803i
\(207\) 11.6427 3.37886i 0.809227 0.234847i
\(208\) 1.22566 + 0.378065i 0.0849840 + 0.0262141i
\(209\) 1.71201 0.258044i 0.118422 0.0178493i
\(210\) 5.08345 9.29515i 0.350791 0.641426i
\(211\) −27.0473 4.07673i −1.86201 0.280653i −0.880788 0.473512i \(-0.842986\pi\)
−0.981227 + 0.192858i \(0.938224\pi\)
\(212\) 2.63293 + 1.26795i 0.180830 + 0.0870833i
\(213\) −4.47507 4.22254i −0.306627 0.289323i
\(214\) 10.9194 0.746438
\(215\) 2.59544 4.49543i 0.177007 0.306586i
\(216\) 12.8308 5.78658i 0.873023 0.393727i
\(217\) 16.0589 + 10.2227i 1.09015 + 0.693965i
\(218\) −4.69934 4.36035i −0.318279 0.295320i
\(219\) 11.7556 14.4905i 0.794372 0.979177i
\(220\) 0.464807 + 1.18431i 0.0313373 + 0.0798461i
\(221\) 4.32167 + 11.0114i 0.290707 + 0.740710i
\(222\) 4.68224 + 12.2303i 0.314252 + 0.820845i
\(223\) 2.02324 + 1.87729i 0.135486 + 0.125713i 0.745005 0.667059i \(-0.232447\pi\)
−0.609519 + 0.792771i \(0.708637\pi\)
\(224\) 5.16844 14.4965i 0.345331 0.968586i
\(225\) −9.30213 1.56181i −0.620142 0.104120i
\(226\) 0.0909573 0.157543i 0.00605039 0.0104796i
\(227\) 5.91728 0.392744 0.196372 0.980530i \(-0.437084\pi\)
0.196372 + 0.980530i \(0.437084\pi\)
\(228\) −2.80165 + 11.8178i −0.185544 + 0.782653i
\(229\) 13.1284 + 6.32233i 0.867552 + 0.417791i 0.814062 0.580777i \(-0.197251\pi\)
0.0534896 + 0.998568i \(0.482966\pi\)
\(230\) 9.23809 + 1.39242i 0.609141 + 0.0918133i
\(231\) 0.148675 + 1.51310i 0.00978209 + 0.0995545i
\(232\) 2.86766 0.432230i 0.188271 0.0283773i
\(233\) 16.1668 + 4.98678i 1.05912 + 0.326695i 0.774913 0.632068i \(-0.217794\pi\)
0.284206 + 0.958763i \(0.408270\pi\)
\(234\) −1.50997 + 6.13978i −0.0987097 + 0.401370i
\(235\) 2.51320 + 33.5363i 0.163943 + 2.18767i
\(236\) −7.27720 1.09686i −0.473705 0.0713996i
\(237\) −3.36562 0.0281819i −0.218620 0.00183061i
\(238\) 9.21747 3.16460i 0.597480 0.205131i
\(239\) −0.634486 8.46663i −0.0410415 0.547661i −0.979391 0.201973i \(-0.935265\pi\)
0.938350 0.345688i \(-0.112354\pi\)
\(240\) −2.43687 0.0204051i −0.157300 0.00131714i
\(241\) −2.13197 + 9.34076i −0.137332 + 0.601691i 0.858683 + 0.512507i \(0.171283\pi\)
−0.996015 + 0.0891842i \(0.971574\pi\)
\(242\) −7.28912 4.96964i −0.468562 0.319460i
\(243\) −7.22237 13.8144i −0.463315 0.886194i
\(244\) 15.3104 0.980149
\(245\) −18.6802 + 7.07898i −1.19343 + 0.452259i
\(246\) −1.09133 16.4049i −0.0695805 1.04594i
\(247\) −8.46465 10.6143i −0.538593 0.675374i
\(248\) −1.45650 + 19.4357i −0.0924880 + 1.23417i
\(249\) 2.68756 + 0.428129i 0.170317 + 0.0271316i
\(250\) 3.54507 + 2.41699i 0.224210 + 0.152864i
\(251\) 16.7094 + 8.04684i 1.05469 + 0.507912i 0.879143 0.476559i \(-0.158116\pi\)
0.175548 + 0.984471i \(0.443830\pi\)
\(252\) −10.2369 2.99282i −0.644866 0.188530i
\(253\) −1.20794 + 0.581716i −0.0759428 + 0.0365721i
\(254\) −4.44823 0.670463i −0.279107 0.0420686i
\(255\) −13.8652 17.6883i −0.868274 1.10768i
\(256\) 14.2708 2.15097i 0.891923 0.134436i
\(257\) 3.58339 + 15.6999i 0.223526 + 0.979330i 0.954801 + 0.297247i \(0.0960686\pi\)
−0.731275 + 0.682083i \(0.761074\pi\)
\(258\) 2.43248 + 0.772685i 0.151440 + 0.0481053i
\(259\) 8.29267 23.2593i 0.515281 1.44526i
\(260\) 6.22012 7.79978i 0.385755 0.483722i
\(261\) −0.662163 3.14283i −0.0409868 0.194536i
\(262\) −7.42206 + 6.88667i −0.458537 + 0.425460i
\(263\) −3.25711 −0.200842 −0.100421 0.994945i \(-0.532019\pi\)
−0.100421 + 0.994945i \(0.532019\pi\)
\(264\) −1.29343 + 0.866068i −0.0796049 + 0.0533028i
\(265\) 4.54964 4.22145i 0.279482 0.259322i
\(266\) −9.03831 + 6.58881i −0.554175 + 0.403986i
\(267\) 11.0922 + 1.76699i 0.678830 + 0.108138i
\(268\) −18.5339 + 5.71694i −1.13214 + 0.349218i
\(269\) 29.8147 + 4.49384i 1.81783 + 0.273995i 0.967615 0.252432i \(-0.0812306\pi\)
0.850220 + 0.526427i \(0.176469\pi\)
\(270\) −0.596556 11.9981i −0.0363053 0.730181i
\(271\) 8.59006 + 7.97041i 0.521809 + 0.484168i 0.896538 0.442966i \(-0.146074\pi\)
−0.374729 + 0.927134i \(0.622264\pi\)
\(272\) −1.64329 1.52475i −0.0996393 0.0924518i
\(273\) 9.69235 6.94206i 0.586607 0.420152i
\(274\) −2.45103 + 2.27423i −0.148072 + 0.137391i
\(275\) 1.04314 0.0629036
\(276\) −0.624288 9.38434i −0.0375777 0.564871i
\(277\) 6.61488 + 28.9817i 0.397449 + 1.74134i 0.637380 + 0.770550i \(0.280018\pi\)
−0.239930 + 0.970790i \(0.577125\pi\)
\(278\) 1.81151 1.23507i 0.108647 0.0740743i
\(279\) 21.5825 + 0.361466i 1.29211 + 0.0216404i
\(280\) −15.4236 13.4318i −0.921739 0.802706i
\(281\) 23.7515 3.57997i 1.41690 0.213563i 0.604472 0.796627i \(-0.293384\pi\)
0.812426 + 0.583064i \(0.198146\pi\)
\(282\) −15.8410 + 4.74142i −0.943320 + 0.282348i
\(283\) 5.43445 0.819111i 0.323044 0.0486911i 0.0144817 0.999895i \(-0.495390\pi\)
0.308563 + 0.951204i \(0.400152\pi\)
\(284\) −3.94386 + 2.68888i −0.234025 + 0.159556i
\(285\) 21.1898 + 14.7084i 1.25518 + 0.871249i
\(286\) 0.0522544 0.697287i 0.00308987 0.0412314i
\(287\) −18.5555 + 24.8347i −1.09529 + 1.46594i
\(288\) −3.59775 17.0760i −0.211999 1.00621i
\(289\) 0.274574 3.66393i 0.0161514 0.215525i
\(290\) 0.550768 2.41307i 0.0323422 0.141700i
\(291\) 6.36432 + 11.2396i 0.373083 + 0.658879i
\(292\) −9.02553 11.3177i −0.528179 0.662316i
\(293\) 0.936574 + 1.62219i 0.0547152 + 0.0947696i 0.892086 0.451866i \(-0.149242\pi\)
−0.837370 + 0.546636i \(0.815908\pi\)
\(294\) −5.36844 8.22515i −0.313094 0.479701i
\(295\) −7.81494 + 13.5359i −0.455003 + 0.788089i
\(296\) 24.9993 3.76804i 1.45306 0.219013i
\(297\) 1.04067 + 1.37441i 0.0603861 + 0.0797516i
\(298\) −4.57816 + 1.41218i −0.265206 + 0.0818052i
\(299\) 8.68636 + 5.92226i 0.502345 + 0.342493i
\(300\) −2.73035 + 6.78911i −0.157637 + 0.391970i
\(301\) −2.53637 4.08982i −0.146194 0.235734i
\(302\) 0.331271 + 0.225856i 0.0190625 + 0.0129966i
\(303\) 0.782855 9.39065i 0.0449739 0.539479i
\(304\) 2.31802 + 1.11630i 0.132947 + 0.0640241i
\(305\) 11.8795 30.2685i 0.680219 1.73317i
\(306\) 7.03356 8.52301i 0.402082 0.487228i
\(307\) −5.27970 6.62054i −0.301329 0.377854i 0.607997 0.793939i \(-0.291973\pi\)
−0.909326 + 0.416085i \(0.863402\pi\)
\(308\) 1.17130 + 0.138955i 0.0667408 + 0.00791772i
\(309\) −0.0142347 + 0.170751i −0.000809786 + 0.00971369i
\(310\) 14.9871 + 7.21741i 0.851210 + 0.409921i
\(311\) 20.3362 + 6.27290i 1.15316 + 0.355703i 0.811633 0.584168i \(-0.198579\pi\)
0.341529 + 0.939871i \(0.389055\pi\)
\(312\) 10.9525 + 5.38789i 0.620064 + 0.305029i
\(313\) 8.20602 + 14.2132i 0.463831 + 0.803380i 0.999148 0.0412720i \(-0.0131410\pi\)
−0.535317 + 0.844652i \(0.679808\pi\)
\(314\) −3.76829 16.5100i −0.212657 0.931712i
\(315\) −13.8597 + 17.9161i −0.780906 + 1.00946i
\(316\) −0.581030 + 2.54566i −0.0326855 + 0.143205i
\(317\) −10.4581 + 3.22591i −0.587387 + 0.181185i −0.574182 0.818728i \(-0.694680\pi\)
−0.0132055 + 0.999913i \(0.504204\pi\)
\(318\) 2.50686 + 1.74007i 0.140578 + 0.0975784i
\(319\) 0.129770 + 0.330648i 0.00726571 + 0.0185127i
\(320\) 2.36634 10.3676i 0.132282 0.579566i
\(321\) −23.0555 3.67275i −1.28683 0.204993i
\(322\) 5.18421 6.93855i 0.288905 0.386671i
\(323\) 5.27991 + 23.1328i 0.293782 + 1.28714i
\(324\) −11.6691 + 3.17564i −0.648282 + 0.176424i
\(325\) −4.08984 7.08382i −0.226864 0.392939i
\(326\) 0.0831912 + 0.364484i 0.00460753 + 0.0201869i
\(327\) 8.45566 + 10.7871i 0.467599 + 0.596530i
\(328\) −31.3852 4.73055i −1.73296 0.261201i
\(329\) 28.5034 + 12.6360i 1.57144 + 0.696646i
\(330\) 0.284770 + 1.29765i 0.0156761 + 0.0714333i
\(331\) −6.74790 + 6.26114i −0.370898 + 0.344143i −0.843496 0.537135i \(-0.819507\pi\)
0.472598 + 0.881278i \(0.343316\pi\)
\(332\) 0.771341 1.96534i 0.0423328 0.107862i
\(333\) −5.77252 27.3982i −0.316332 1.50141i
\(334\) 0.497963 + 1.26879i 0.0272473 + 0.0694251i
\(335\) −3.07830 + 41.0770i −0.168185 + 2.24428i
\(336\) −1.08407 + 1.98224i −0.0591409 + 0.108140i
\(337\) 0.707175 + 9.43659i 0.0385223 + 0.514044i 0.982773 + 0.184817i \(0.0591691\pi\)
−0.944251 + 0.329227i \(0.893212\pi\)
\(338\) 4.54845 2.19042i 0.247403 0.119143i
\(339\) −0.245038 + 0.302045i −0.0133086 + 0.0164048i
\(340\) −15.7092 + 7.56516i −0.851952 + 0.410279i
\(341\) −2.36052 + 0.355791i −0.127829 + 0.0192671i
\(342\) −4.83051 + 11.7266i −0.261204 + 0.634103i
\(343\) −2.39804 + 18.3644i −0.129482 + 0.991582i
\(344\) 2.46356 4.26701i 0.132826 0.230062i
\(345\) −19.0371 6.04720i −1.02492 0.325570i
\(346\) −1.50149 + 20.0360i −0.0807208 + 1.07714i
\(347\) −0.123454 0.114549i −0.00662735 0.00614929i 0.676852 0.736119i \(-0.263344\pi\)
−0.683479 + 0.729970i \(0.739534\pi\)
\(348\) −2.49164 0.0208636i −0.133566 0.00111841i
\(349\) 20.5156 13.9873i 1.09818 0.748724i 0.128158 0.991754i \(-0.459094\pi\)
0.970019 + 0.243030i \(0.0781413\pi\)
\(350\) −5.97642 + 3.11379i −0.319453 + 0.166439i
\(351\) 5.25329 12.4558i 0.280400 0.664840i
\(352\) 0.705081 + 1.79652i 0.0375810 + 0.0957547i
\(353\) 0.577558 + 0.278137i 0.0307403 + 0.0148037i 0.449191 0.893436i \(-0.351712\pi\)
−0.418450 + 0.908240i \(0.637427\pi\)
\(354\) −7.32427 2.32658i −0.389281 0.123656i
\(355\) 2.25580 + 9.88329i 0.119725 + 0.524551i
\(356\) 3.18350 8.11143i 0.168725 0.429905i
\(357\) −20.5264 + 3.58150i −1.08637 + 0.189553i
\(358\) −5.25537 13.3905i −0.277755 0.707708i
\(359\) −13.4883 + 9.19615i −0.711884 + 0.485354i −0.864309 0.502961i \(-0.832244\pi\)
0.152425 + 0.988315i \(0.451292\pi\)
\(360\) −22.8708 3.83995i −1.20540 0.202383i
\(361\) −4.11608 7.12925i −0.216636 0.375224i
\(362\) 2.42429 + 4.19900i 0.127418 + 0.220694i
\(363\) 13.7188 + 12.9447i 0.720053 + 0.679419i
\(364\) −3.64869 8.49893i −0.191243 0.445465i
\(365\) −29.3779 + 9.06187i −1.53771 + 0.474320i
\(366\) 15.7885 + 2.51512i 0.825280 + 0.131467i
\(367\) 8.31882 10.4315i 0.434239 0.544518i −0.515776 0.856724i \(-0.672496\pi\)
0.950015 + 0.312205i \(0.101068\pi\)
\(368\) −1.97007 0.296940i −0.102697 0.0154791i
\(369\) −3.21354 + 35.0047i −0.167290 + 1.82227i
\(370\) 4.80141 21.0364i 0.249614 1.09363i
\(371\) −1.45653 5.56660i −0.0756190 0.289003i
\(372\) 3.86290 16.2943i 0.200282 0.844823i
\(373\) −5.91962 −0.306506 −0.153253 0.988187i \(-0.548975\pi\)
−0.153253 + 0.988187i \(0.548975\pi\)
\(374\) −0.611045 + 1.05836i −0.0315964 + 0.0547265i
\(375\) −6.67216 6.29565i −0.344549 0.325106i
\(376\) 2.38550 + 31.8323i 0.123023 + 1.64163i
\(377\) 1.73660 2.17762i 0.0894393 0.112153i
\(378\) −10.0650 4.76795i −0.517686 0.245237i
\(379\) −17.2037 21.5727i −0.883693 1.10812i −0.993463 0.114159i \(-0.963583\pi\)
0.109770 0.993957i \(-0.464989\pi\)
\(380\) 14.6692 13.6110i 0.752514 0.698231i
\(381\) 9.16656 + 2.91179i 0.469617 + 0.149175i
\(382\) 1.83558 1.25148i 0.0939164 0.0640311i
\(383\) 22.4616 28.1660i 1.14773 1.43921i 0.268211 0.963360i \(-0.413568\pi\)
0.879524 0.475854i \(-0.157861\pi\)
\(384\) −14.9214 0.124944i −0.761455 0.00637602i
\(385\) 1.18353 2.20782i 0.0603185 0.112521i
\(386\) −13.0008 6.26085i −0.661722 0.318669i
\(387\) −4.87609 2.44963i −0.247866 0.124521i
\(388\) 9.57533 2.95360i 0.486114 0.149946i
\(389\) 3.61206 1.73948i 0.183139 0.0881951i −0.340068 0.940401i \(-0.610450\pi\)
0.523206 + 0.852206i \(0.324736\pi\)
\(390\) 7.69567 7.02155i 0.389686 0.355550i
\(391\) −9.18709 15.9125i −0.464611 0.804730i
\(392\) −17.7310 + 6.71929i −0.895552 + 0.339375i
\(393\) 17.9874 12.0442i 0.907345 0.607551i
\(394\) −4.79949 + 12.2289i −0.241795 + 0.616083i
\(395\) 4.58191 + 3.12389i 0.230541 + 0.157180i
\(396\) 1.21454 0.560033i 0.0610329 0.0281427i
\(397\) −0.301826 + 4.02759i −0.0151482 + 0.202139i 0.984495 + 0.175415i \(0.0561267\pi\)
−0.999643 + 0.0267243i \(0.991492\pi\)
\(398\) −16.9058 + 11.5262i −0.847413 + 0.577756i
\(399\) 21.2998 10.8717i 1.06632 0.544266i
\(400\) 1.28076 + 0.873210i 0.0640382 + 0.0436605i
\(401\) 10.0035 12.5439i 0.499549 0.626414i −0.466579 0.884480i \(-0.654514\pi\)
0.966127 + 0.258065i \(0.0830850\pi\)
\(402\) −20.0518 + 2.85082i −1.00009 + 0.142186i
\(403\) 11.6710 + 14.6350i 0.581376 + 0.729022i
\(404\) −6.98572 2.15481i −0.347553 0.107206i
\(405\) −2.77597 + 25.5336i −0.137939 + 1.26878i
\(406\) −1.73048 1.50700i −0.0858822 0.0747914i
\(407\) 1.13129 + 2.88248i 0.0560760 + 0.142879i
\(408\) −13.1607 16.7895i −0.651553 0.831204i
\(409\) −36.7696 11.3419i −1.81814 0.560822i −0.818240 0.574877i \(-0.805050\pi\)
−0.999901 + 0.0140548i \(0.995526\pi\)
\(410\) −13.5445 + 23.4598i −0.668917 + 1.15860i
\(411\) 5.94009 3.97744i 0.293003 0.196193i
\(412\) 0.127022 + 0.0391811i 0.00625793 + 0.00193032i
\(413\) 7.63709 + 12.3146i 0.375797 + 0.605961i
\(414\) 0.897829 9.77996i 0.0441259 0.480659i
\(415\) −3.28697 3.04986i −0.161351 0.149712i
\(416\) 9.43551 11.8318i 0.462614 0.580099i
\(417\) −4.24026 + 1.99844i −0.207647 + 0.0978640i
\(418\) 0.312105 1.36742i 0.0152655 0.0668827i
\(419\) −11.2750 + 3.47788i −0.550821 + 0.169906i −0.557658 0.830071i \(-0.688300\pi\)
0.00683720 + 0.999977i \(0.497824\pi\)
\(420\) 11.2715 + 13.4817i 0.549991 + 0.657840i
\(421\) −22.7657 7.02230i −1.10953 0.342246i −0.314772 0.949167i \(-0.601928\pi\)
−0.794762 + 0.606921i \(0.792404\pi\)
\(422\) −11.0794 + 19.1901i −0.539338 + 0.934160i
\(423\) 35.0418 4.68300i 1.70379 0.227695i
\(424\) 4.31847 4.00695i 0.209723 0.194595i
\(425\) 1.06834 + 14.2559i 0.0518219 + 0.691515i
\(426\) −4.50874 + 2.12497i −0.218449 + 0.102955i
\(427\) −19.5290 22.9650i −0.945074 1.11135i
\(428\) −6.61703 + 16.8599i −0.319846 + 0.814954i
\(429\) −0.344863 + 1.45469i −0.0166501 + 0.0702330i
\(430\) −2.62189 3.28775i −0.126439 0.158549i
\(431\) −0.863076 11.5170i −0.0415729 0.554752i −0.978637 0.205595i \(-0.934087\pi\)
0.937064 0.349157i \(-0.113532\pi\)
\(432\) 0.127219 + 2.55865i 0.00612081 + 0.123103i
\(433\) −12.0316 + 5.79413i −0.578203 + 0.278448i −0.700042 0.714102i \(-0.746835\pi\)
0.121838 + 0.992550i \(0.461121\pi\)
\(434\) 12.4620 9.08463i 0.598195 0.436076i
\(435\) −1.97454 + 4.90975i −0.0946717 + 0.235404i
\(436\) 9.58022 4.61359i 0.458809 0.220951i
\(437\) 15.4586 + 14.3435i 0.739483 + 0.686140i
\(438\) −7.44818 13.1538i −0.355888 0.628511i
\(439\) 8.96938 22.8536i 0.428085 1.09074i −0.540342 0.841445i \(-0.681705\pi\)
0.968427 0.249297i \(-0.0801996\pi\)
\(440\) 2.56472 0.122268
\(441\) 8.56849 + 19.1724i 0.408023 + 0.912971i
\(442\) 9.58292 0.455813
\(443\) −8.44365 + 21.5141i −0.401170 + 1.02216i 0.577439 + 0.816434i \(0.304052\pi\)
−0.978609 + 0.205730i \(0.934043\pi\)
\(444\) −21.7213 0.181882i −1.03085 0.00863176i
\(445\) −13.5661 12.5875i −0.643094 0.596704i
\(446\) 2.01450 0.970132i 0.0953893 0.0459371i
\(447\) 10.1414 1.44183i 0.479672 0.0681963i
\(448\) −7.43489 6.47475i −0.351265 0.305903i
\(449\) −3.45008 + 1.66147i −0.162819 + 0.0784097i −0.513519 0.858078i \(-0.671658\pi\)
0.350699 + 0.936488i \(0.385944\pi\)
\(450\) −3.93090 + 6.55260i −0.185304 + 0.308892i
\(451\) −0.290514 3.87664i −0.0136798 0.182544i
\(452\) 0.188131 + 0.235909i 0.00884894 + 0.0110962i
\(453\) −0.623484 0.588300i −0.0292938 0.0276407i
\(454\) 1.75132 4.46229i 0.0821935 0.209426i
\(455\) −19.6333 + 0.619002i −0.920425 + 0.0290193i
\(456\) 20.1131 + 13.9610i 0.941884 + 0.653785i
\(457\) 2.07396 + 27.6750i 0.0970155 + 1.29458i 0.807078 + 0.590444i \(0.201047\pi\)
−0.710063 + 0.704138i \(0.751334\pi\)
\(458\) 8.65332 8.02911i 0.404343 0.375176i
\(459\) −17.7175 + 15.6299i −0.826982 + 0.729541i
\(460\) −7.74808 + 13.4201i −0.361256 + 0.625714i
\(461\) −14.1837 4.37510i −0.660602 0.203769i −0.0537141 0.998556i \(-0.517106\pi\)
−0.606887 + 0.794788i \(0.707582\pi\)
\(462\) 1.18505 + 0.335709i 0.0551334 + 0.0156186i
\(463\) −1.87919 + 0.579653i −0.0873334 + 0.0269388i −0.338114 0.941105i \(-0.609789\pi\)
0.250781 + 0.968044i \(0.419313\pi\)
\(464\) −0.117454 + 0.514600i −0.00545266 + 0.0238897i
\(465\) −29.2165 20.2799i −1.35488 0.940456i
\(466\) 8.54541 10.7156i 0.395859 0.496391i
\(467\) −14.7144 13.6530i −0.680903 0.631786i 0.261916 0.965091i \(-0.415646\pi\)
−0.942819 + 0.333305i \(0.891836\pi\)
\(468\) −8.56497 6.05205i −0.395916 0.279756i
\(469\) 32.2158 + 20.5078i 1.48759 + 0.946963i
\(470\) 26.0339 + 8.03041i 1.20086 + 0.370415i
\(471\) 2.40332 + 36.1269i 0.110739 + 1.66464i
\(472\) −7.41785 + 12.8481i −0.341434 + 0.591382i
\(473\) 0.576669 + 0.177879i 0.0265153 + 0.00817888i
\(474\) −1.01736 + 2.52971i −0.0467290 + 0.116193i
\(475\) −5.99428 15.2732i −0.275037 0.700782i
\(476\) −0.699432 + 16.1497i −0.0320584 + 0.740222i
\(477\) −4.70775 4.51720i −0.215553 0.206828i
\(478\) −6.57257 2.02737i −0.300622 0.0927297i
\(479\) −7.42143 9.30618i −0.339094 0.425210i 0.582822 0.812600i \(-0.301948\pi\)
−0.921916 + 0.387389i \(0.873377\pi\)
\(480\) −10.7283 + 26.6763i −0.489678 + 1.21760i
\(481\) 15.1391 18.9838i 0.690283 0.865588i
\(482\) 6.41298 + 4.37230i 0.292103 + 0.199153i
\(483\) −13.2798 + 12.9065i −0.604252 + 0.587265i
\(484\) 12.0904 8.24307i 0.549562 0.374685i
\(485\) 1.59037 21.2220i 0.0722151 0.963643i
\(486\) −12.5552 + 1.35787i −0.569514 + 0.0615941i
\(487\) −4.77140 3.25308i −0.216213 0.147411i 0.450371 0.892842i \(-0.351292\pi\)
−0.666584 + 0.745430i \(0.732244\pi\)
\(488\) 11.2759 28.7305i 0.510436 1.30057i
\(489\) −0.0530572 0.797560i −0.00239933 0.0360669i
\(490\) −0.190382 + 16.1821i −0.00860059 + 0.731032i
\(491\) −12.7890 22.1512i −0.577159 0.999668i −0.995803 0.0915180i \(-0.970828\pi\)
0.418645 0.908150i \(-0.362505\pi\)
\(492\) 25.9910 + 8.25611i 1.17176 + 0.372214i
\(493\) −4.38586 + 2.11212i −0.197529 + 0.0951251i
\(494\) −10.5097 + 3.24180i −0.472852 + 0.145855i
\(495\) −0.164805 2.83566i −0.00740742 0.127454i
\(496\) −3.19608 1.53915i −0.143508 0.0691098i
\(497\) 9.06374 + 2.48586i 0.406564 + 0.111506i
\(498\) 1.11829 1.90001i 0.0501116 0.0851414i
\(499\) −1.21433 + 1.52273i −0.0543611 + 0.0681666i −0.808269 0.588814i \(-0.799595\pi\)
0.753908 + 0.656980i \(0.228167\pi\)
\(500\) −5.88015 + 4.00902i −0.262968 + 0.179289i
\(501\) −0.624652 2.84644i −0.0279074 0.127169i
\(502\) 11.0137 10.2192i 0.491564 0.456104i
\(503\) 0.773725 + 0.970221i 0.0344987 + 0.0432600i 0.798782 0.601621i \(-0.205478\pi\)
−0.764283 + 0.644881i \(0.776907\pi\)
\(504\) −13.1555 + 17.0058i −0.585992 + 0.757498i
\(505\) −9.68033 + 12.1387i −0.430769 + 0.540167i
\(506\) 0.0811666 + 1.08309i 0.00360830 + 0.0481494i
\(507\) −10.3404 + 3.09502i −0.459234 + 0.137455i
\(508\) 3.73078 6.46189i 0.165526 0.286700i
\(509\) −31.0255 −1.37518 −0.687590 0.726099i \(-0.741331\pi\)
−0.687590 + 0.726099i \(0.741331\pi\)
\(510\) −17.4426 + 5.22078i −0.772370 + 0.231180i
\(511\) −5.46360 + 27.9740i −0.241695 + 1.23750i
\(512\) −1.23252 + 5.40000i −0.0544700 + 0.238649i
\(513\) 14.1435 23.1351i 0.624449 1.02144i
\(514\) 12.9000 + 1.94436i 0.568995 + 0.0857622i
\(515\) 0.176018 0.220720i 0.00775630 0.00972609i
\(516\) −2.66710 + 3.28758i −0.117412 + 0.144728i
\(517\) −3.73609 + 1.15243i −0.164313 + 0.0506838i
\(518\) −15.0857 13.1376i −0.662830 0.577232i
\(519\) 9.90940 41.7994i 0.434974 1.83479i
\(520\) −10.0555 17.4167i −0.440964 0.763773i
\(521\) 1.21549 + 2.10530i 0.0532517 + 0.0922347i 0.891422 0.453173i \(-0.149708\pi\)
−0.838171 + 0.545408i \(0.816375\pi\)
\(522\) −2.56602 0.430829i −0.112312 0.0188569i
\(523\) 34.0713 23.2294i 1.48983 1.01575i 0.501212 0.865325i \(-0.332888\pi\)
0.988621 0.150426i \(-0.0480647\pi\)
\(524\) −6.13553 15.6331i −0.268032 0.682935i
\(525\) 13.6660 4.56436i 0.596435 0.199205i
\(526\) −0.963998 + 2.45623i −0.0420323 + 0.107097i
\(527\) −7.27992 31.8954i −0.317118 1.38939i
\(528\) −0.0607287 0.276730i −0.00264288 0.0120431i
\(529\) 6.00944 + 2.89399i 0.261280 + 0.125826i
\(530\) −1.83690 4.68035i −0.0797899 0.203301i
\(531\) 14.6821 + 7.37589i 0.637147 + 0.320086i
\(532\) −4.69621 17.9481i −0.203606 0.778150i
\(533\) −25.1868 + 17.1720i −1.09096 + 0.743803i
\(534\) 4.61542 7.84177i 0.199729 0.339347i
\(535\) 28.1976 + 26.1636i 1.21909 + 1.13115i
\(536\) −2.92189 + 38.9899i −0.126206 + 1.68411i
\(537\) 6.59240 + 30.0405i 0.284483 + 1.29634i
\(538\) 12.2130 21.1536i 0.526541 0.911996i
\(539\) −1.28560 1.93414i −0.0553749 0.0833091i
\(540\) 18.8869 + 6.34957i 0.812762 + 0.273242i
\(541\) −4.30563 + 0.648969i −0.185113 + 0.0279014i −0.240945 0.970539i \(-0.577457\pi\)
0.0558312 + 0.998440i \(0.482219\pi\)
\(542\) 8.55295 4.11888i 0.367381 0.176921i
\(543\) −3.70636 9.68125i −0.159055 0.415462i
\(544\) −23.8298 + 11.4758i −1.02170 + 0.492023i
\(545\) −1.68762 22.5197i −0.0722897 0.964639i
\(546\) −2.36647 9.36373i −0.101276 0.400731i
\(547\) 0.557010 7.43278i 0.0238160 0.317803i −0.972554 0.232677i \(-0.925252\pi\)
0.996370 0.0851261i \(-0.0271293\pi\)
\(548\) −2.02617 5.16261i −0.0865539 0.220536i
\(549\) −32.4902 10.6209i −1.38665 0.453290i
\(550\) 0.308734 0.786642i 0.0131645 0.0335425i
\(551\) 4.09550 3.80007i 0.174474 0.161888i
\(552\) −18.0698 5.73994i −0.769103 0.244308i
\(553\) 4.55950 2.37556i 0.193890 0.101019i
\(554\) 23.8132 + 3.58926i 1.01173 + 0.152493i
\(555\) −17.2134 + 42.8016i −0.730666 + 1.81683i
\(556\) 0.809225 + 3.54545i 0.0343188 + 0.150360i
\(557\) −15.8573 27.4656i −0.671895 1.16376i −0.977366 0.211555i \(-0.932147\pi\)
0.305471 0.952201i \(-0.401186\pi\)
\(558\) 6.66029 16.1686i 0.281953 0.684472i
\(559\) −1.05300 4.61350i −0.0445372 0.195130i
\(560\) 3.30131 1.72003i 0.139506 0.0726844i
\(561\) 1.64615 2.02912i 0.0695005 0.0856694i
\(562\) 4.32997 18.9709i 0.182649 0.800237i
\(563\) −5.39558 13.7477i −0.227397 0.579397i 0.770949 0.636897i \(-0.219782\pi\)
−0.998346 + 0.0575000i \(0.981687\pi\)
\(564\) 2.27856 27.3322i 0.0959448 1.15089i
\(565\) 0.612362 0.188889i 0.0257623 0.00794661i
\(566\) 0.990716 4.34061i 0.0416429 0.182449i
\(567\) 19.6477 + 13.4525i 0.825124 + 0.564951i
\(568\) 2.14118 + 9.38111i 0.0898418 + 0.393623i
\(569\) −10.4037 18.0197i −0.436144 0.755423i 0.561245 0.827650i \(-0.310323\pi\)
−0.997388 + 0.0722270i \(0.976989\pi\)
\(570\) 17.3632 11.6263i 0.727266 0.486972i
\(571\) 42.5565 + 13.1270i 1.78094 + 0.549346i 0.997404 0.0720058i \(-0.0229400\pi\)
0.783532 + 0.621352i \(0.213416\pi\)
\(572\) 1.04496 + 0.503228i 0.0436921 + 0.0210410i
\(573\) −4.29661 + 2.02499i −0.179493 + 0.0845953i
\(574\) 13.2363 + 21.3431i 0.552473 + 0.890845i
\(575\) 7.92174 + 9.93355i 0.330359 + 0.414258i
\(576\) −11.0247 1.85103i −0.459364 0.0771262i
\(577\) −11.2696 + 28.7144i −0.469159 + 1.19540i 0.479061 + 0.877782i \(0.340977\pi\)
−0.948220 + 0.317615i \(0.897118\pi\)
\(578\) −2.68175 1.29146i −0.111546 0.0537177i
\(579\) 25.3443 + 17.5921i 1.05327 + 0.731102i
\(580\) 3.39209 + 2.31269i 0.140849 + 0.0960290i
\(581\) −3.93181 + 1.34989i −0.163119 + 0.0560030i
\(582\) 10.3596 1.47285i 0.429418 0.0610515i
\(583\) 0.596170 + 0.406462i 0.0246908 + 0.0168339i
\(584\) −27.8852 + 8.60143i −1.15390 + 0.355930i
\(585\) −18.6105 + 12.2370i −0.769449 + 0.505937i
\(586\) 1.50051 0.226165i 0.0619855 0.00934281i
\(587\) 6.98444 12.0974i 0.288279 0.499314i −0.685120 0.728430i \(-0.740250\pi\)
0.973399 + 0.229117i \(0.0735837\pi\)
\(588\) 15.9530 3.30469i 0.657893 0.136283i
\(589\) 18.7738 + 32.5172i 0.773561 + 1.33985i
\(590\) 7.89459 + 9.89950i 0.325015 + 0.407556i
\(591\) 14.2469 24.2060i 0.586039 0.995702i
\(592\) −1.02393 + 4.48611i −0.0420831 + 0.184378i
\(593\) 0.394067 5.25845i 0.0161824 0.215939i −0.983250 0.182260i \(-0.941659\pi\)
0.999433 0.0336786i \(-0.0107223\pi\)
\(594\) 1.34447 0.378004i 0.0551641 0.0155097i
\(595\) 31.3851 + 13.9135i 1.28666 + 0.570398i
\(596\) 0.593864 7.92457i 0.0243256 0.324603i
\(597\) 39.5721 18.6504i 1.61958 0.763309i
\(598\) 7.03692 4.79769i 0.287761 0.196192i
\(599\) 17.0565 2.57085i 0.696909 0.105042i 0.208973 0.977921i \(-0.432988\pi\)
0.487936 + 0.872879i \(0.337750\pi\)
\(600\) 10.7291 + 10.1237i 0.438015 + 0.413298i
\(601\) −42.9111 + 6.46781i −1.75038 + 0.263828i −0.944562 0.328333i \(-0.893513\pi\)
−0.805820 + 0.592161i \(0.798275\pi\)
\(602\) −3.83487 + 0.702256i −0.156297 + 0.0286218i
\(603\) 43.2966 + 0.725136i 1.76317 + 0.0295298i
\(604\) −0.549474 + 0.374625i −0.0223578 + 0.0152433i
\(605\) −6.91540 30.2984i −0.281151 1.23180i
\(606\) −6.84990 3.36968i −0.278258 0.136884i
\(607\) −11.3648 −0.461284 −0.230642 0.973039i \(-0.574083\pi\)
−0.230642 + 0.973039i \(0.574083\pi\)
\(608\) 22.2522 20.6470i 0.902445 0.837347i
\(609\) 3.14688 + 3.76396i 0.127518 + 0.152523i
\(610\) −19.3099 17.9169i −0.781834 0.725436i
\(611\) 22.4741 + 20.8530i 0.909207 + 0.843620i
\(612\) 8.89752 + 16.0248i 0.359661 + 0.647765i
\(613\) 8.22298 + 1.23942i 0.332123 + 0.0500595i 0.312987 0.949757i \(-0.398670\pi\)
0.0191361 + 0.999817i \(0.493908\pi\)
\(614\) −6.55524 + 2.02202i −0.264548 + 0.0816023i
\(615\) 36.4889 44.9778i 1.47137 1.81368i
\(616\) 1.12340 2.09564i 0.0452630 0.0844357i
\(617\) −2.42232 + 2.24759i −0.0975190 + 0.0904844i −0.727426 0.686186i \(-0.759284\pi\)
0.629907 + 0.776671i \(0.283093\pi\)
\(618\) 0.124552 + 0.0612713i 0.00501023 + 0.00246469i
\(619\) 28.4430 1.14322 0.571611 0.820525i \(-0.306319\pi\)
0.571611 + 0.820525i \(0.306319\pi\)
\(620\) −20.2258 + 18.7668i −0.812289 + 0.753694i
\(621\) −5.18518 + 20.3476i −0.208074 + 0.816521i
\(622\) 10.7493 13.4792i 0.431008 0.540467i
\(623\) −16.2275 + 5.57132i −0.650140 + 0.223210i
\(624\) −1.64114 + 1.49738i −0.0656983 + 0.0599432i
\(625\) 6.86146 + 30.0620i 0.274458 + 1.20248i
\(626\) 13.1471 1.98160i 0.525463 0.0792008i
\(627\) −1.11891 + 2.78222i −0.0446851 + 0.111111i
\(628\) 27.7754 + 4.18646i 1.10836 + 0.167058i
\(629\) −38.2345 + 18.4128i −1.52451 + 0.734166i
\(630\) 9.40874 + 15.7543i 0.374853 + 0.627668i
\(631\) 4.29936 + 2.07046i 0.171155 + 0.0824238i 0.517500 0.855684i \(-0.326863\pi\)
−0.346345 + 0.938107i \(0.612577\pi\)
\(632\) 4.34910 + 2.96516i 0.172998 + 0.117948i
\(633\) 29.8479 36.7918i 1.18635 1.46234i
\(634\) −0.662568 + 8.84136i −0.0263139 + 0.351135i
\(635\) −9.88034 12.3895i −0.392089 0.491664i
\(636\) −4.20584 + 2.81620i −0.166772 + 0.111669i
\(637\) −8.09399 + 16.3136i −0.320696 + 0.646367i
\(638\) 0.287753 0.0113922
\(639\) 10.2346 2.97019i 0.404873 0.117499i
\(640\) 20.3138 + 13.8497i 0.802975 + 0.547459i
\(641\) 9.76300 42.7745i 0.385615 1.68949i −0.293905 0.955835i \(-0.594955\pi\)
0.679520 0.733657i \(-0.262188\pi\)
\(642\) −9.59333 + 16.2994i −0.378618 + 0.643286i
\(643\) 1.12292 + 14.9844i 0.0442837 + 0.590925i 0.974569 + 0.224088i \(0.0719403\pi\)
−0.930285 + 0.366837i \(0.880441\pi\)
\(644\) 7.57176 + 12.2092i 0.298369 + 0.481111i
\(645\) 4.43008 + 7.82368i 0.174434 + 0.308057i
\(646\) 19.0074 + 2.86490i 0.747835 + 0.112718i
\(647\) 2.46792 + 32.9321i 0.0970239 + 1.29469i 0.807035 + 0.590503i \(0.201071\pi\)
−0.710011 + 0.704190i \(0.751310\pi\)
\(648\) −2.63492 + 24.2363i −0.103510 + 0.952090i
\(649\) −1.73637 0.535598i −0.0681583 0.0210241i
\(650\) −6.55244 + 0.987622i −0.257008 + 0.0387377i
\(651\) −29.3681 + 14.9899i −1.15103 + 0.587499i
\(652\) −0.613186 0.0924229i −0.0240142 0.00361956i
\(653\) −5.49000 2.64385i −0.214840 0.103462i 0.323369 0.946273i \(-0.395185\pi\)
−0.538209 + 0.842811i \(0.680899\pi\)
\(654\) 10.6373 3.18388i 0.415951 0.124499i
\(655\) −35.6670 −1.39363
\(656\) 2.88844 5.00293i 0.112775 0.195332i
\(657\) 11.3020 + 30.2783i 0.440931 + 1.18127i
\(658\) 17.9650 17.7549i 0.700350 0.692159i
\(659\) 9.03258 + 8.38101i 0.351859 + 0.326478i 0.836224 0.548389i \(-0.184759\pi\)
−0.484364 + 0.874866i \(0.660949\pi\)
\(660\) −2.17617 0.346665i −0.0847074 0.0134939i
\(661\) −14.0663 35.8404i −0.547117 1.39403i −0.890563 0.454859i \(-0.849690\pi\)
0.343446 0.939172i \(-0.388406\pi\)
\(662\) 2.72444 + 6.94176i 0.105888 + 0.269799i
\(663\) −20.2336 3.22321i −0.785806 0.125179i
\(664\) −3.11996 2.89490i −0.121078 0.112344i
\(665\) −39.1270 4.64179i −1.51728 0.180001i
\(666\) −22.3697 3.75583i −0.866810 0.145535i
\(667\) −2.16319 + 3.74675i −0.0837590 + 0.145075i
\(668\) −2.26080 −0.0874731
\(669\) −4.57975 + 1.37078i −0.177064 + 0.0529973i
\(670\) 30.0656 + 14.4788i 1.16154 + 0.559366i
\(671\) 3.73804 + 0.563419i 0.144305 + 0.0217505i
\(672\) 17.0981 + 20.4508i 0.659572 + 0.788909i
\(673\) 23.8646 3.59701i 0.919913 0.138655i 0.328020 0.944671i \(-0.393619\pi\)
0.591893 + 0.806016i \(0.298381\pi\)
\(674\) 7.32554 + 2.25963i 0.282169 + 0.0870377i
\(675\) 10.5037 12.5131i 0.404289 0.481630i
\(676\) 0.625767 + 8.35028i 0.0240680 + 0.321165i
\(677\) 36.3323 + 5.47622i 1.39637 + 0.210468i 0.803726 0.595000i \(-0.202848\pi\)
0.592639 + 0.805468i \(0.298086\pi\)
\(678\) 0.155252 + 0.274181i 0.00596243 + 0.0105299i
\(679\) −16.6440 10.5952i −0.638737 0.406605i
\(680\) 2.62667 + 35.0505i 0.100728 + 1.34413i
\(681\) −5.19865 + 8.83270i −0.199213 + 0.338470i
\(682\) −0.430329 + 1.88539i −0.0164781 + 0.0721955i
\(683\) −27.0703 18.4562i −1.03582 0.706208i −0.0789922 0.996875i \(-0.525170\pi\)
−0.956824 + 0.290668i \(0.906123\pi\)
\(684\) −15.1790 14.5646i −0.580383 0.556891i
\(685\) −11.7785 −0.450035
\(686\) 13.1390 + 7.24363i 0.501650 + 0.276563i
\(687\) −20.9714 + 14.0423i −0.800108 + 0.535746i
\(688\) 0.559132 + 0.701129i 0.0213167 + 0.0267303i
\(689\) 0.422820 5.64213i 0.0161081 0.214948i
\(690\) −10.1946 + 12.5663i −0.388103 + 0.478392i
\(691\) −4.89249 3.33564i −0.186119 0.126894i 0.466676 0.884428i \(-0.345451\pi\)
−0.652795 + 0.757534i \(0.726404\pi\)
\(692\) −30.0263 14.4599i −1.14143 0.549683i
\(693\) −2.38921 1.10741i −0.0907587 0.0420671i
\(694\) −0.122921 + 0.0591954i −0.00466600 + 0.00224703i
\(695\) 7.63719 + 1.15112i 0.289695 + 0.0436645i
\(696\) −1.87421 + 4.66028i −0.0710416 + 0.176647i
\(697\) 52.6822 7.94057i 1.99548 0.300770i
\(698\) −4.47605 19.6109i −0.169421 0.742282i
\(699\) −21.6471 + 19.7509i −0.818770 + 0.747047i
\(700\) −1.18616 11.1147i −0.0448325 0.420095i
\(701\) 32.0190 40.1505i 1.20934 1.51646i 0.414029 0.910264i \(-0.364121\pi\)
0.795312 0.606201i \(-0.207307\pi\)
\(702\) −7.83824 7.64806i −0.295835 0.288657i
\(703\) 35.7032 33.1277i 1.34657 1.24944i
\(704\) 1.23631 0.0465952
\(705\) −52.2675 25.7120i −1.96851 0.968372i
\(706\) 0.380684 0.353223i 0.0143272 0.0132937i
\(707\) 5.67843 + 13.2268i 0.213559 + 0.497446i
\(708\) 8.03070 9.89899i 0.301812 0.372027i
\(709\) −27.4584 + 8.46981i −1.03122 + 0.318090i −0.763775 0.645482i \(-0.776657\pi\)
−0.267448 + 0.963572i \(0.586180\pi\)
\(710\) 8.12074 + 1.22400i 0.304766 + 0.0459361i
\(711\) 2.99894 4.99908i 0.112469 0.187480i
\(712\) −12.8768 11.9479i −0.482578 0.447767i
\(713\) −21.3142 19.7767i −0.798224 0.740643i
\(714\) −3.37427 + 16.5392i −0.126279 + 0.618963i
\(715\) 1.80567 1.67542i 0.0675284 0.0626572i
\(716\) 23.8599 0.891686
\(717\) 13.1955 + 6.49130i 0.492796 + 0.242422i
\(718\) 2.94284 + 12.8934i 0.109826 + 0.481178i
\(719\) 38.6646 26.3611i 1.44195 0.983103i 0.445825 0.895120i \(-0.352910\pi\)
0.996122 0.0879824i \(-0.0280419\pi\)
\(720\) 2.17139 3.61959i 0.0809228 0.134894i
\(721\) −0.103251 0.240505i −0.00384528 0.00895686i
\(722\) −6.59447 + 0.993957i −0.245421 + 0.0369912i
\(723\) −12.0699 11.3887i −0.448883 0.423552i
\(724\) −7.95245 + 1.19864i −0.295550 + 0.0445471i
\(725\) 2.78121 1.89620i 0.103292 0.0704231i
\(726\) 13.8221 6.51434i 0.512984 0.241770i
\(727\) 1.79864 24.0012i 0.0667080 0.890156i −0.859014 0.511952i \(-0.828923\pi\)
0.925722 0.378204i \(-0.123458\pi\)
\(728\) −18.6357 + 0.587550i −0.690687 + 0.0217761i
\(729\) 26.9659 + 1.35590i 0.998738 + 0.0502185i
\(730\) −1.86122 + 24.8362i −0.0688867 + 0.919229i
\(731\) −1.84037 + 8.06317i −0.0680684 + 0.298227i
\(732\) −13.4510 + 22.8538i −0.497165 + 0.844700i
\(733\) 15.1152 + 18.9538i 0.558291 + 0.700075i 0.978241 0.207473i \(-0.0665238\pi\)
−0.419950 + 0.907547i \(0.637952\pi\)
\(734\) −5.40440 9.36069i −0.199480 0.345509i
\(735\) 5.84481 34.1031i 0.215589 1.25791i
\(736\) −11.7533 + 20.3573i −0.433233 + 0.750382i
\(737\) −4.73543 + 0.713751i −0.174432 + 0.0262914i
\(738\) 25.4464 + 12.7836i 0.936693 + 0.470571i
\(739\) 4.37802 1.35044i 0.161048 0.0496768i −0.213183 0.977012i \(-0.568383\pi\)
0.374231 + 0.927336i \(0.377907\pi\)
\(740\) 29.5711 + 20.1612i 1.08706 + 0.741142i
\(741\) 23.2806 3.30988i 0.855236 0.121591i
\(742\) −4.62892 0.549147i −0.169933 0.0201598i
\(743\) −24.0000 16.3629i −0.880473 0.600296i 0.0364611 0.999335i \(-0.488392\pi\)
−0.916934 + 0.399039i \(0.869344\pi\)
\(744\) −27.7319 19.2494i −1.01670 0.705718i
\(745\) −15.2060 7.32281i −0.557104 0.268287i
\(746\) −1.75201 + 4.46406i −0.0641457 + 0.163441i
\(747\) −3.00024 + 3.63558i −0.109773 + 0.133019i
\(748\) −1.26385 1.58482i −0.0462110 0.0579468i
\(749\) 33.7294 11.5802i 1.23245 0.423131i
\(750\) −6.72236 + 3.16825i −0.245466 + 0.115688i
\(751\) −5.09358 2.45294i −0.185867 0.0895090i 0.338636 0.940918i \(-0.390035\pi\)
−0.524503 + 0.851409i \(0.675749\pi\)
\(752\) −5.55187 1.71253i −0.202456 0.0624494i
\(753\) −26.6917 + 17.8725i −0.972698 + 0.651311i
\(754\) −1.12820 1.95409i −0.0410865 0.0711639i
\(755\) 0.314286 + 1.37698i 0.0114380 + 0.0501133i
\(756\) 13.4611 12.6513i 0.489574 0.460122i
\(757\) 4.09934 17.9604i 0.148993 0.652782i −0.844173 0.536071i \(-0.819908\pi\)
0.993166 0.116711i \(-0.0372350\pi\)
\(758\) −21.3599 + 6.58867i −0.775828 + 0.239311i
\(759\) 0.192921 2.31416i 0.00700260 0.0839988i
\(760\) −14.7379 37.5516i −0.534600 1.36214i
\(761\) −10.3112 + 45.1763i −0.373781 + 1.63764i 0.342278 + 0.939599i \(0.388802\pi\)
−0.716058 + 0.698041i \(0.754055\pi\)
\(762\) 4.90881 6.05082i 0.177827 0.219198i
\(763\) −19.1401 8.48511i −0.692919 0.307182i
\(764\) 0.819978 + 3.59256i 0.0296658 + 0.129974i
\(765\) 38.5846 5.15645i 1.39503 0.186432i
\(766\) −14.5924 25.2748i −0.527244 0.913214i
\(767\) 3.17061 + 13.8914i 0.114484 + 0.501588i
\(768\) −9.32691 + 23.1917i −0.336556 + 0.836857i
\(769\) 29.2589 + 4.41007i 1.05510 + 0.159031i 0.653611 0.756831i \(-0.273253\pi\)
0.401493 + 0.915862i \(0.368492\pi\)
\(770\) −1.31466 1.54596i −0.0473769 0.0557125i
\(771\) −26.5833 8.44427i −0.957375 0.304113i
\(772\) 17.5452 16.2796i 0.631466 0.585915i
\(773\) 13.7600 35.0599i 0.494912 1.26102i −0.437369 0.899282i \(-0.644090\pi\)
0.932282 0.361734i \(-0.117815\pi\)
\(774\) −3.29045 + 2.95211i −0.118273 + 0.106111i
\(775\) 8.26490 + 21.0586i 0.296884 + 0.756448i
\(776\) 1.50956 20.1437i 0.0541902 0.723118i
\(777\) 27.4335 + 32.8130i 0.984171 + 1.17716i
\(778\) −0.242709 3.23873i −0.00870154 0.116114i
\(779\) −55.0907 + 26.5303i −1.97383 + 0.950546i
\(780\) 6.17799 + 16.1373i 0.221208 + 0.577807i
\(781\) −1.06184 + 0.511357i −0.0379958 + 0.0182978i
\(782\) −14.7189 + 2.21851i −0.526346 + 0.0793339i
\(783\) 5.27303 + 1.77274i 0.188443 + 0.0633526i
\(784\) 0.0406000 3.45091i 0.00145000 0.123247i
\(785\) 29.8278 51.6632i 1.06460 1.84394i
\(786\) −3.75901 17.1292i −0.134080 0.610978i
\(787\) −2.61474 + 34.8913i −0.0932055 + 1.24374i 0.732944 + 0.680289i \(0.238146\pi\)
−0.826149 + 0.563452i \(0.809473\pi\)
\(788\) −15.9733 14.8211i −0.569026 0.527979i
\(789\) 2.86155 4.86188i 0.101874 0.173088i
\(790\) 3.71186 2.53070i 0.132062 0.0900383i
\(791\) 0.113885 0.583099i 0.00404929 0.0207326i
\(792\) −0.156431 2.69158i −0.00555853 0.0956412i
\(793\) −10.8297 27.5936i −0.384573 0.979876i
\(794\) 2.94792 + 1.41964i 0.104618 + 0.0503813i
\(795\) 2.30423 + 10.5000i 0.0817227 + 0.372397i
\(796\) −7.55207 33.0878i −0.267676 1.17276i
\(797\) 4.02064 10.2444i 0.142418 0.362876i −0.841811 0.539772i \(-0.818510\pi\)
0.984230 + 0.176896i \(0.0566056\pi\)
\(798\) −1.89443 19.2801i −0.0670623 0.682508i
\(799\) −19.5759 49.8787i −0.692547 1.76458i
\(800\) 15.1112 10.3027i 0.534263 0.364255i
\(801\) −12.3827 + 15.0049i −0.437520 + 0.530171i
\(802\) −6.49884 11.2563i −0.229482 0.397474i
\(803\) −1.78710 3.09535i −0.0630653 0.109232i
\(804\) 7.74936 32.6881i 0.273299 1.15282i
\(805\) 30.0125 5.49601i 1.05780 0.193709i
\(806\) 14.4907 4.46978i 0.510412 0.157441i
\(807\) −32.9018 + 40.5562i −1.15820 + 1.42765i
\(808\) −9.18846 + 11.5220i −0.323249 + 0.405341i
\(809\) −20.2531 3.05267i −0.712062 0.107326i −0.216984 0.976175i \(-0.569622\pi\)
−0.495077 + 0.868849i \(0.664860\pi\)
\(810\) 18.4336 + 9.65051i 0.647691 + 0.339084i
\(811\) −9.39342 + 41.1552i −0.329847 + 1.44516i 0.489573 + 0.871963i \(0.337153\pi\)
−0.819420 + 0.573194i \(0.805704\pi\)
\(812\) 3.37550 1.75868i 0.118457 0.0617176i
\(813\) −19.4442 + 5.81990i −0.681939 + 0.204113i
\(814\) 2.50853 0.0879241
\(815\) −0.658496 + 1.14055i −0.0230661 + 0.0399517i
\(816\) 3.71972 1.11336i 0.130216 0.0389753i
\(817\) −0.709342 9.46551i −0.0248167 0.331156i
\(818\) −19.4357 + 24.3716i −0.679552 + 0.852132i
\(819\) 1.84712 + 20.5667i 0.0645437 + 0.718659i
\(820\) −28.0148 35.1294i −0.978319 1.22677i
\(821\) −3.73527 + 3.46582i −0.130362 + 0.120958i −0.742660 0.669669i \(-0.766436\pi\)
0.612298 + 0.790627i \(0.290245\pi\)
\(822\) −1.24136 5.65668i −0.0432974 0.197299i
\(823\) −14.5926 + 9.94906i −0.508665 + 0.346802i −0.790301 0.612719i \(-0.790076\pi\)
0.281635 + 0.959522i \(0.409123\pi\)
\(824\) 0.167075 0.209505i 0.00582032 0.00729846i
\(825\) −0.916453 + 1.55709i −0.0319068 + 0.0542108i
\(826\) 11.5469 2.11451i 0.401768 0.0735733i
\(827\) 14.7202 + 7.08888i 0.511872 + 0.246504i 0.671945 0.740601i \(-0.265459\pi\)
−0.160074 + 0.987105i \(0.551173\pi\)
\(828\) 14.5564 + 7.31279i 0.505871 + 0.254137i
\(829\) 27.6214 8.52008i 0.959332 0.295915i 0.224736 0.974420i \(-0.427848\pi\)
0.734596 + 0.678505i \(0.237372\pi\)
\(830\) −3.27277 + 1.57608i −0.113600 + 0.0547066i
\(831\) −49.0724 15.5880i −1.70230 0.540741i
\(832\) −4.84722 8.39563i −0.168047 0.291066i
\(833\) 25.1160 19.5505i 0.870219 0.677383i
\(834\) 0.252068 + 3.78910i 0.00872840 + 0.131206i
\(835\) −1.75418 + 4.46958i −0.0607059 + 0.154676i
\(836\) 1.92220 + 1.31054i 0.0664807 + 0.0453258i
\(837\) −19.5010 + 31.8985i −0.674052 + 1.10257i
\(838\) −0.714321 + 9.53196i −0.0246758 + 0.329276i
\(839\) −21.0515 + 14.3527i −0.726778 + 0.495509i −0.869301 0.494282i \(-0.835431\pi\)
0.142523 + 0.989791i \(0.454478\pi\)
\(840\) 33.6002 11.2222i 1.15932 0.387203i
\(841\) −23.0139 15.6906i −0.793582 0.541055i
\(842\) −12.0335 + 15.0895i −0.414702 + 0.520020i
\(843\) −15.5232 + 38.5990i −0.534648 + 1.32942i
\(844\) −22.9161 28.7359i −0.788804 0.989129i
\(845\) 16.9939 + 5.24194i 0.584609 + 0.180328i
\(846\) 6.83972 27.8115i 0.235154 0.956178i
\(847\) −27.7859 7.62068i −0.954736 0.261850i
\(848\) 0.391728 + 0.998108i 0.0134520 + 0.0342752i
\(849\) −3.55178 + 8.83161i −0.121897 + 0.303100i
\(850\) 11.0668 + 3.41364i 0.379587 + 0.117087i
\(851\) −18.8580 + 32.6630i −0.646443 + 1.11967i
\(852\) −0.548781 8.24931i −0.0188009 0.282617i
\(853\) 1.35975 + 0.419428i 0.0465571 + 0.0143610i 0.317946 0.948109i \(-0.397007\pi\)
−0.271389 + 0.962470i \(0.587483\pi\)
\(854\) −23.0981 + 7.93017i −0.790400 + 0.271365i
\(855\) −40.5716 + 18.7078i −1.38752 + 0.639795i
\(856\) 26.7649 + 24.8342i 0.914804 + 0.848814i
\(857\) 28.1398 35.2862i 0.961237 1.20535i −0.0174192 0.999848i \(-0.505545\pi\)
0.978656 0.205505i \(-0.0658836\pi\)
\(858\) 0.994929 + 0.690604i 0.0339663 + 0.0235768i
\(859\) 9.90182 43.3827i 0.337846 1.48020i −0.465693 0.884946i \(-0.654195\pi\)
0.803539 0.595253i \(-0.202948\pi\)
\(860\) 6.66520 2.05594i 0.227281 0.0701070i
\(861\) −20.7686 49.5163i −0.707793 1.68751i
\(862\) −8.94051 2.75778i −0.304515 0.0939304i
\(863\) −10.8552 + 18.8018i −0.369516 + 0.640020i −0.989490 0.144602i \(-0.953810\pi\)
0.619974 + 0.784622i \(0.287143\pi\)
\(864\) 28.6501 + 9.63188i 0.974698 + 0.327683i
\(865\) −51.8848 + 48.1420i −1.76414 + 1.63688i
\(866\) 0.808453 + 10.7881i 0.0274724 + 0.366593i
\(867\) 5.22791 + 3.62882i 0.177549 + 0.123241i
\(868\) 6.47511 + 24.7468i 0.219780 + 0.839961i
\(869\) −0.235538 + 0.600141i −0.00799009 + 0.0203584i
\(870\) 3.11810 + 2.94214i 0.105714 + 0.0997480i
\(871\) 23.4132 + 29.3593i 0.793328 + 0.994801i
\(872\) −1.60187 21.3755i −0.0542462 0.723865i
\(873\) −22.3688 0.374634i −0.757068 0.0126794i
\(874\) 15.3918 7.41229i 0.520635 0.250725i
\(875\) 13.5137 + 3.70632i 0.456846 + 0.125296i
\(876\) 24.8232 3.52919i 0.838700 0.119240i
\(877\) −28.9378 + 13.9357i −0.977159 + 0.470575i −0.853127 0.521703i \(-0.825297\pi\)
−0.124032 + 0.992278i \(0.539583\pi\)
\(878\) −14.5795 13.5278i −0.492035 0.456542i
\(879\) −3.24427 0.0271658i −0.109427 0.000916280i
\(880\) −0.170541 + 0.434533i −0.00574895 + 0.0146481i
\(881\) 15.3125 0.515893 0.257946 0.966159i \(-0.416954\pi\)
0.257946 + 0.966159i \(0.416954\pi\)
\(882\) 16.9941 0.787200i 0.572222 0.0265064i
\(883\) 41.9569 1.41196 0.705982 0.708230i \(-0.250506\pi\)
0.705982 + 0.708230i \(0.250506\pi\)
\(884\) −5.80711 + 14.7963i −0.195314 + 0.497653i
\(885\) −13.3391 23.5573i −0.448388 0.791871i
\(886\) 13.7250 + 12.7349i 0.461099 + 0.427838i
\(887\) −26.1857 + 12.6104i −0.879229 + 0.423414i −0.818343 0.574731i \(-0.805107\pi\)
−0.0608859 + 0.998145i \(0.519393\pi\)
\(888\) −16.3387 + 40.6268i −0.548292 + 1.36335i
\(889\) −14.4513 + 2.64638i −0.484681 + 0.0887568i
\(890\) −13.5075 + 6.50486i −0.452772 + 0.218043i
\(891\) −2.96587 + 0.345913i −0.0993605 + 0.0115885i
\(892\) 0.277151 + 3.69833i 0.00927971 + 0.123829i
\(893\) 38.3425 + 48.0799i 1.28308 + 1.60893i
\(894\) 1.91422 8.07448i 0.0640210 0.270051i
\(895\) 18.5131 47.1707i 0.618826 1.57674i
\(896\) 20.2145 10.5320i 0.675319 0.351850i
\(897\) −16.4716 + 7.76307i −0.549970 + 0.259201i
\(898\) 0.231825 + 3.09349i 0.00773609 + 0.103231i
\(899\) −5.64686 + 5.23952i −0.188333 + 0.174748i
\(900\) −7.73532 10.0402i −0.257844 0.334673i
\(901\) −4.94430 + 8.56378i −0.164719 + 0.285301i
\(902\) −3.00940 0.928277i −0.100202 0.0309082i
\(903\) 8.33321 0.192902i 0.277312 0.00641937i
\(904\) 0.581247 0.179291i 0.0193320 0.00596313i
\(905\) −3.80069 + 16.6519i −0.126339 + 0.553529i
\(906\) −0.628174 + 0.296059i −0.0208697 + 0.00983590i
\(907\) 26.0787 32.7017i 0.865930 1.08584i −0.129616 0.991564i \(-0.541374\pi\)
0.995546 0.0942776i \(-0.0300541\pi\)
\(908\) 5.82862 + 5.40817i 0.193429 + 0.179476i
\(909\) 13.3296 + 9.41876i 0.442115 + 0.312401i
\(910\) −5.34402 + 14.9889i −0.177153 + 0.496878i
\(911\) 8.79757 + 2.71369i 0.291477 + 0.0899086i 0.437045 0.899440i \(-0.356025\pi\)
−0.145569 + 0.989348i \(0.546501\pi\)
\(912\) −3.70280 + 2.47937i −0.122612 + 0.0821000i
\(913\) 0.260647 0.451454i 0.00862616 0.0149410i
\(914\) 21.4839 + 6.62689i 0.710623 + 0.219198i
\(915\) 34.7449 + 44.3250i 1.14863 + 1.46534i
\(916\) 7.15337 + 18.2265i 0.236354 + 0.602220i
\(917\) −15.6229 + 29.1436i −0.515912 + 0.962407i
\(918\) 6.54290 + 17.9869i 0.215948 + 0.593656i
\(919\) −10.2521 3.16236i −0.338187 0.104317i 0.121010 0.992651i \(-0.461387\pi\)
−0.459197 + 0.888334i \(0.651863\pi\)
\(920\) 19.4769 + 24.4232i 0.642133 + 0.805210i
\(921\) 14.5210 2.06449i 0.478482 0.0680271i
\(922\) −7.49722 + 9.40122i −0.246908 + 0.309613i
\(923\) 7.63575 + 5.20597i 0.251334 + 0.171356i
\(924\) −1.23647 + 1.62631i −0.0406767 + 0.0535016i
\(925\) 24.2457 16.5304i 0.797194 0.543518i
\(926\) −0.119055 + 1.58868i −0.00391239 + 0.0522072i
\(927\) −0.242374 0.171262i −0.00796059 0.00562499i
\(928\) 5.14557 + 3.50819i 0.168912 + 0.115162i
\(929\) 15.6463 39.8661i 0.513339 1.30797i −0.405775 0.913973i \(-0.632998\pi\)
0.919114 0.393993i \(-0.128906\pi\)
\(930\) −23.9404 + 16.0303i −0.785036 + 0.525654i
\(931\) −20.9312 + 29.9376i −0.685993 + 0.981165i
\(932\) 11.3668 + 19.6879i 0.372332 + 0.644897i
\(933\) −27.2300 + 24.8447i −0.891471 + 0.813380i
\(934\) −14.6509 + 7.05549i −0.479392 + 0.230863i
\(935\) −4.11381 + 1.26894i −0.134536 + 0.0414988i
\(936\) −17.6649 + 11.6152i −0.577394 + 0.379655i
\(937\) 8.86234 + 4.26788i 0.289520 + 0.139426i 0.573007 0.819551i \(-0.305777\pi\)
−0.283487 + 0.958976i \(0.591491\pi\)
\(938\) 25.0000 18.2247i 0.816279 0.595056i
\(939\) −28.4255 0.238020i −0.927630 0.00776748i
\(940\) −28.1754 + 35.3308i −0.918979 + 1.15236i
\(941\) −2.08187 + 1.41939i −0.0678669 + 0.0462709i −0.596778 0.802406i \(-0.703553\pi\)
0.528911 + 0.848677i \(0.322600\pi\)
\(942\) 27.9550 + 8.88000i 0.910824 + 0.289326i
\(943\) 34.7101 32.2063i 1.13032 1.04878i
\(944\) −1.68356 2.11112i −0.0547953 0.0687111i
\(945\) −14.5668 36.4286i −0.473859 1.18502i
\(946\) 0.304815 0.382226i 0.00991040 0.0124273i
\(947\) 0.339507 + 4.53040i 0.0110325 + 0.147218i 1.00000 0.000917065i \(-0.000291911\pi\)
−0.988967 + 0.148135i \(0.952673\pi\)
\(948\) −3.28943 3.10380i −0.106836 0.100807i
\(949\) −14.0134 + 24.2719i −0.454894 + 0.787900i
\(950\) −13.2918 −0.431243
\(951\) 4.37274 18.4450i 0.141796 0.598118i
\(952\) 29.7904 + 13.2066i 0.965513 + 0.428027i
\(953\) 6.26159 27.4338i 0.202833 0.888669i −0.766369 0.642401i \(-0.777939\pi\)
0.969202 0.246268i \(-0.0792043\pi\)
\(954\) −4.79981 + 2.21323i −0.155400 + 0.0716559i
\(955\) 7.73867 + 1.16642i 0.250418 + 0.0377444i
\(956\) 7.11319 8.91966i 0.230057 0.288483i
\(957\) −0.607566 0.0967855i −0.0196398 0.00312863i
\(958\) −9.21440 + 2.84226i −0.297704 + 0.0918294i
\(959\) −5.15923 + 9.62427i −0.166600 + 0.310784i
\(960\) 13.3967 + 12.6407i 0.432377 + 0.407978i
\(961\) −10.3853 17.9878i −0.335008 0.580251i
\(962\) −9.83525 17.0351i −0.317101 0.549235i
\(963\) 25.7378 31.1882i 0.829390 1.00502i
\(964\) −10.6371 + 7.25226i −0.342598 + 0.233580i
\(965\) −18.5710 47.3181i −0.597822 1.52322i
\(966\) 5.80254 + 13.8343i 0.186694 + 0.445113i
\(967\) 20.3519 51.8557i 0.654471 1.66757i −0.0866866 0.996236i \(-0.527628\pi\)
0.741158 0.671331i \(-0.234277\pi\)
\(968\) −6.56403 28.7589i −0.210976 0.924345i
\(969\) −39.1689 12.4421i −1.25829 0.399699i
\(970\) −15.5331 7.48034i −0.498737 0.240179i
\(971\) 3.08819 + 7.86857i 0.0991047 + 0.252515i 0.971824 0.235708i \(-0.0757408\pi\)
−0.872719 + 0.488222i \(0.837646\pi\)
\(972\) 5.51167 20.2084i 0.176787 0.648184i
\(973\) 4.28582 5.73615i 0.137397 0.183893i
\(974\) −3.86536 + 2.63536i −0.123854 + 0.0844424i
\(975\) 14.1671 + 0.118628i 0.453711 + 0.00379914i
\(976\) 4.11793 + 3.82088i 0.131812 + 0.122303i
\(977\) 3.46569 46.2464i 0.110877 1.47955i −0.613252 0.789888i \(-0.710139\pi\)
0.724129 0.689665i \(-0.242242\pi\)
\(978\) −0.617152 0.196040i −0.0197344 0.00626868i
\(979\) 1.07575 1.86326i 0.0343812 0.0595499i
\(980\) −24.8702 10.1001i −0.794449 0.322635i
\(981\) −23.5307 + 3.14465i −0.751277 + 0.100401i
\(982\) −20.4896 + 3.08830i −0.653848 + 0.0985517i
\(983\) −11.3484 + 5.46512i −0.361959 + 0.174310i −0.606020 0.795450i \(-0.707235\pi\)
0.244061 + 0.969760i \(0.421520\pi\)
\(984\) 34.6349 42.6924i 1.10412 1.36099i
\(985\) −41.6949 + 20.0792i −1.32851 + 0.639777i
\(986\) 0.294704 + 3.93255i 0.00938528 + 0.125238i
\(987\) −43.9035 + 31.4455i −1.39747 + 1.00092i
\(988\) 1.36328 18.1917i 0.0433716 0.578754i
\(989\) 2.68541 + 6.84232i 0.0853911 + 0.217573i
\(990\) −2.18718 0.714981i −0.0695132 0.0227236i
\(991\) 3.87798 9.88094i 0.123188 0.313878i −0.855955 0.517051i \(-0.827030\pi\)
0.979143 + 0.203172i \(0.0651251\pi\)
\(992\) −30.6812 + 28.4680i −0.974130 + 0.903861i
\(993\) −3.41757 15.5733i −0.108453 0.494204i
\(994\) 4.55718 6.09934i 0.144545 0.193459i
\(995\) −71.2738 10.7428i −2.25953 0.340570i
\(996\) 2.25600 + 2.87804i 0.0714840 + 0.0911942i
\(997\) 9.35030 + 40.9663i 0.296127 + 1.29742i 0.875842 + 0.482598i \(0.160307\pi\)
−0.579715 + 0.814819i \(0.696836\pi\)
\(998\) 0.788903 + 1.36642i 0.0249723 + 0.0432533i
\(999\) 45.9686 + 15.4542i 1.45438 + 0.488948i
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 441.2.z.a.142.35 yes 648
9.4 even 3 441.2.y.a.436.35 yes 648
49.39 even 21 441.2.y.a.88.35 648
441.382 even 21 inner 441.2.z.a.382.35 yes 648
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
441.2.y.a.88.35 648 49.39 even 21
441.2.y.a.436.35 yes 648 9.4 even 3
441.2.z.a.142.35 yes 648 1.1 even 1 trivial
441.2.z.a.382.35 yes 648 441.382 even 21 inner