Properties

Label 605.2.u.a.4.18
Level $605$
Weight $2$
Character 605.4
Analytic conductor $4.831$
Analytic rank $0$
Dimension $2560$
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] = [605,2,Mod(4,605)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(605, base_ring=CyclotomicField(110))
 
chi = DirichletCharacter(H, H._module([55, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("605.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 605 = 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 605.u (of order \(110\), degree \(40\), 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: \(4.83094932229\)
Analytic rank: \(0\)
Dimension: \(2560\)
Relative dimension: \(64\) over \(\Q(\zeta_{110})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{110}]$

Embedding invariants

Embedding label 4.18
Character \(\chi\) \(=\) 605.4
Dual form 605.2.u.a.454.18

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.0843987 + 1.47596i) q^{2} +(-1.88212 - 0.611538i) q^{3} +(-0.184383 - 0.0211560i) q^{4} +(-1.88871 + 1.19699i) q^{5} +(1.06146 - 2.72633i) q^{6} +(1.72780 - 4.08846i) q^{7} +(-0.457404 + 2.64309i) q^{8} +(0.741350 + 0.538623i) q^{9} +O(q^{10})\) \(q+(-0.0843987 + 1.47596i) q^{2} +(-1.88212 - 0.611538i) q^{3} +(-0.184383 - 0.0211560i) q^{4} +(-1.88871 + 1.19699i) q^{5} +(1.06146 - 2.72633i) q^{6} +(1.72780 - 4.08846i) q^{7} +(-0.457404 + 2.64309i) q^{8} +(0.741350 + 0.538623i) q^{9} +(-1.60731 - 2.88869i) q^{10} +(3.04141 + 1.32280i) q^{11} +(0.334093 + 0.152575i) q^{12} +(1.63135 + 2.88875i) q^{13} +(5.88859 + 2.89523i) q^{14} +(4.28678 - 1.09786i) q^{15} +(-4.22404 - 0.982258i) q^{16} +(0.256166 + 0.717954i) q^{17} +(-0.857556 + 1.04875i) q^{18} +(-0.0639439 + 2.23833i) q^{19} +(0.373569 - 0.180747i) q^{20} +(-5.75217 + 6.63836i) q^{21} +(-2.20910 + 4.37737i) q^{22} +(-4.43018 + 3.83878i) q^{23} +(2.47724 - 4.69489i) q^{24} +(2.13444 - 4.52152i) q^{25} +(-4.40138 + 2.16401i) q^{26} +(2.42372 + 3.33597i) q^{27} +(-0.405072 + 0.717289i) q^{28} +(-1.24879 - 1.82630i) q^{29} +(1.25860 + 6.41979i) q^{30} +(-2.09084 + 10.3187i) q^{31} +(0.294856 - 1.00419i) q^{32} +(-4.91536 - 4.34962i) q^{33} +(-1.08129 + 0.317497i) q^{34} +(1.63053 + 9.79006i) q^{35} +(-0.125297 - 0.114997i) q^{36} +(-2.93836 - 3.20156i) q^{37} +(-3.29829 - 0.283291i) q^{38} +(-1.30382 - 6.43462i) q^{39} +(-2.29984 - 5.53953i) q^{40} +(1.34688 + 5.12405i) q^{41} +(-9.31250 - 9.05027i) q^{42} +(8.07712 - 1.16131i) q^{43} +(-0.532799 - 0.308247i) q^{44} +(-2.04492 - 0.129913i) q^{45} +(-5.29199 - 6.86278i) q^{46} +(-1.73868 - 2.12632i) q^{47} +(7.34946 + 4.43189i) q^{48} +(-8.85165 - 9.10813i) q^{49} +(6.49346 + 3.53196i) q^{50} +(-0.0430782 - 1.50793i) q^{51} +(-0.239679 - 0.567150i) q^{52} +(2.89447 + 12.4472i) q^{53} +(-5.12833 + 3.29577i) q^{54} +(-7.32772 + 1.14215i) q^{55} +(10.0159 + 6.43680i) q^{56} +(1.48917 - 4.17370i) q^{57} +(2.80095 - 1.68904i) q^{58} +(-2.62674 + 9.99316i) q^{59} +(-0.813636 + 0.111736i) q^{60} +(-5.28040 + 0.301944i) q^{61} +(-15.0536 - 3.95689i) q^{62} +(3.48304 - 2.10035i) q^{63} +(-6.71181 - 2.39477i) q^{64} +(-6.53896 - 3.50330i) q^{65} +(6.83473 - 6.88779i) q^{66} +(1.10724 + 1.72289i) q^{67} +(-0.0320435 - 0.137798i) q^{68} +(10.6857 - 4.51582i) q^{69} +(-14.5874 + 1.58034i) q^{70} +(-0.896626 + 1.16276i) q^{71} +(-1.76272 + 1.71309i) q^{72} +(2.41276 + 1.45495i) q^{73} +(4.97338 - 4.06671i) q^{74} +(-6.78235 + 7.20477i) q^{75} +(0.0591441 - 0.411357i) q^{76} +(10.6632 - 10.1492i) q^{77} +(9.60731 - 1.38132i) q^{78} +(2.00430 - 2.06237i) q^{79} +(9.15372 - 3.20093i) q^{80} +(-3.37118 - 10.3754i) q^{81} +(-7.67658 + 1.55548i) q^{82} +(17.1257 + 1.47092i) q^{83} +(1.20104 - 1.10231i) q^{84} +(-1.34321 - 1.04938i) q^{85} +(1.03236 + 12.0195i) q^{86} +(1.23353 + 4.20100i) q^{87} +(-4.88744 + 7.43366i) q^{88} +(0.227239 + 0.0667232i) q^{89} +(0.364335 - 3.00726i) q^{90} +(14.6292 - 1.67854i) q^{91} +(0.898063 - 0.614080i) q^{92} +(10.2455 - 18.1424i) q^{93} +(3.28511 - 2.38677i) q^{94} +(-2.55848 - 4.30409i) q^{95} +(-1.16905 + 1.70968i) q^{96} +(10.2449 + 5.40570i) q^{97} +(14.1903 - 12.2960i) q^{98} +(1.54226 + 2.61883i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 2560 q - 144 q^{4} - 43 q^{5} - 114 q^{6} + 534 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 2560 q - 144 q^{4} - 43 q^{5} - 114 q^{6} + 534 q^{9} - 22 q^{10} - 104 q^{11} - 80 q^{14} - 58 q^{15} - 40 q^{16} - 94 q^{19} - 32 q^{20} - 162 q^{21} - 248 q^{24} - 25 q^{25} - 124 q^{26} - 90 q^{29} - 103 q^{30} - 102 q^{31} - 56 q^{34} - 66 q^{35} - 24 q^{36} - 184 q^{39} - 45 q^{40} - 36 q^{41} - 92 q^{44} - 2 q^{45} - 26 q^{46} - 182 q^{49} - 94 q^{50} + 108 q^{51} - 180 q^{54} + 52 q^{55} + 16 q^{56} - 96 q^{59} - 63 q^{60} - 48 q^{61} - 124 q^{64} - 37 q^{65} - 212 q^{66} - 170 q^{69} + 30 q^{70} - 194 q^{71} - 136 q^{74} - 46 q^{75} - 188 q^{76} - 170 q^{79} + 65 q^{80} - 730 q^{81} - 166 q^{84} - 58 q^{85} - 126 q^{86} + 38 q^{89} - 144 q^{90} - 10 q^{91} + 8 q^{94} - 180 q^{95} - 68 q^{96} + 226 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).

\(n\) \(122\) \(486\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{55}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0843987 + 1.47596i −0.0596789 + 1.04366i 0.821296 + 0.570502i \(0.193251\pi\)
−0.880975 + 0.473162i \(0.843112\pi\)
\(3\) −1.88212 0.611538i −1.08664 0.353072i −0.289695 0.957119i \(-0.593554\pi\)
−0.796948 + 0.604047i \(0.793554\pi\)
\(4\) −0.184383 0.0211560i −0.0921915 0.0105780i
\(5\) −1.88871 + 1.19699i −0.844656 + 0.535310i
\(6\) 1.06146 2.72633i 0.433338 1.11302i
\(7\) 1.72780 4.08846i 0.653046 1.54529i −0.174962 0.984575i \(-0.555980\pi\)
0.828008 0.560717i \(-0.189474\pi\)
\(8\) −0.457404 + 2.64309i −0.161717 + 0.934473i
\(9\) 0.741350 + 0.538623i 0.247117 + 0.179541i
\(10\) −1.60731 2.88869i −0.508275 0.913484i
\(11\) 3.04141 + 1.32280i 0.917020 + 0.398840i
\(12\) 0.334093 + 0.152575i 0.0964444 + 0.0440447i
\(13\) 1.63135 + 2.88875i 0.452456 + 0.801196i 0.999352 0.0360049i \(-0.0114632\pi\)
−0.546895 + 0.837201i \(0.684190\pi\)
\(14\) 5.88859 + 2.89523i 1.57379 + 0.773782i
\(15\) 4.28678 1.09786i 1.10684 0.283466i
\(16\) −4.22404 0.982258i −1.05601 0.245564i
\(17\) 0.256166 + 0.717954i 0.0621293 + 0.174129i 0.968876 0.247546i \(-0.0796241\pi\)
−0.906747 + 0.421675i \(0.861442\pi\)
\(18\) −0.857556 + 1.04875i −0.202128 + 0.247192i
\(19\) −0.0639439 + 2.23833i −0.0146697 + 0.513507i 0.958720 + 0.284352i \(0.0917783\pi\)
−0.973390 + 0.229156i \(0.926403\pi\)
\(20\) 0.373569 0.180747i 0.0835326 0.0404162i
\(21\) −5.75217 + 6.63836i −1.25523 + 1.44861i
\(22\) −2.20910 + 4.37737i −0.470982 + 0.933259i
\(23\) −4.43018 + 3.83878i −0.923757 + 0.800440i −0.980209 0.197965i \(-0.936567\pi\)
0.0564518 + 0.998405i \(0.482021\pi\)
\(24\) 2.47724 4.69489i 0.505664 0.958341i
\(25\) 2.13444 4.52152i 0.426887 0.904305i
\(26\) −4.40138 + 2.16401i −0.863182 + 0.424398i
\(27\) 2.42372 + 3.33597i 0.466445 + 0.642007i
\(28\) −0.405072 + 0.717289i −0.0765513 + 0.135555i
\(29\) −1.24879 1.82630i −0.231895 0.339136i 0.691920 0.721974i \(-0.256765\pi\)
−0.923815 + 0.382838i \(0.874947\pi\)
\(30\) 1.25860 + 6.41979i 0.229789 + 1.17209i
\(31\) −2.09084 + 10.3187i −0.375526 + 1.85330i 0.131432 + 0.991325i \(0.458043\pi\)
−0.506958 + 0.861971i \(0.669230\pi\)
\(32\) 0.294856 1.00419i 0.0521236 0.177517i
\(33\) −4.91536 4.34962i −0.855655 0.757171i
\(34\) −1.08129 + 0.317497i −0.185441 + 0.0544502i
\(35\) 1.63053 + 9.79006i 0.275611 + 1.65482i
\(36\) −0.125297 0.114997i −0.0208829 0.0191661i
\(37\) −2.93836 3.20156i −0.483064 0.526333i 0.446604 0.894732i \(-0.352633\pi\)
−0.929668 + 0.368399i \(0.879906\pi\)
\(38\) −3.29829 0.283291i −0.535054 0.0459558i
\(39\) −1.30382 6.43462i −0.208779 1.03036i
\(40\) −2.29984 5.53953i −0.363637 0.875877i
\(41\) 1.34688 + 5.12405i 0.210347 + 0.800242i 0.985671 + 0.168678i \(0.0539500\pi\)
−0.775325 + 0.631563i \(0.782414\pi\)
\(42\) −9.31250 9.05027i −1.43695 1.39649i
\(43\) 8.07712 1.16131i 1.23175 0.177099i 0.504463 0.863433i \(-0.331690\pi\)
0.727286 + 0.686334i \(0.240781\pi\)
\(44\) −0.532799 0.308247i −0.0803225 0.0464699i
\(45\) −2.04492 0.129913i −0.304839 0.0193663i
\(46\) −5.29199 6.86278i −0.780262 1.01186i
\(47\) −1.73868 2.12632i −0.253613 0.310156i 0.631643 0.775259i \(-0.282381\pi\)
−0.885256 + 0.465104i \(0.846017\pi\)
\(48\) 7.34946 + 4.43189i 1.06080 + 0.639688i
\(49\) −8.85165 9.10813i −1.26452 1.30116i
\(50\) 6.49346 + 3.53196i 0.918314 + 0.499495i
\(51\) −0.0430782 1.50793i −0.00603215 0.211153i
\(52\) −0.239679 0.567150i −0.0332376 0.0786495i
\(53\) 2.89447 + 12.4472i 0.397587 + 1.70976i 0.665573 + 0.746333i \(0.268187\pi\)
−0.267986 + 0.963423i \(0.586358\pi\)
\(54\) −5.12833 + 3.29577i −0.697877 + 0.448498i
\(55\) −7.32772 + 1.14215i −0.988070 + 0.154007i
\(56\) 10.0159 + 6.43680i 1.33842 + 0.860153i
\(57\) 1.48917 4.17370i 0.197246 0.552820i
\(58\) 2.80095 1.68904i 0.367783 0.221781i
\(59\) −2.62674 + 9.99316i −0.341973 + 1.30100i 0.544712 + 0.838623i \(0.316639\pi\)
−0.886684 + 0.462375i \(0.846997\pi\)
\(60\) −0.813636 + 0.111736i −0.105040 + 0.0144250i
\(61\) −5.28040 + 0.301944i −0.676086 + 0.0386600i −0.391760 0.920068i \(-0.628134\pi\)
−0.284326 + 0.958728i \(0.591770\pi\)
\(62\) −15.0536 3.95689i −1.91181 0.502526i
\(63\) 3.48304 2.10035i 0.438822 0.264619i
\(64\) −6.71181 2.39477i −0.838977 0.299346i
\(65\) −6.53896 3.50330i −0.811058 0.434531i
\(66\) 6.83473 6.88779i 0.841297 0.847829i
\(67\) 1.10724 + 1.72289i 0.135270 + 0.210485i 0.902280 0.431151i \(-0.141892\pi\)
−0.767009 + 0.641636i \(0.778256\pi\)
\(68\) −0.0320435 0.137798i −0.00388585 0.0167105i
\(69\) 10.6857 4.51582i 1.28641 0.543640i
\(70\) −14.5874 + 1.58034i −1.74353 + 0.188887i
\(71\) −0.896626 + 1.16276i −0.106410 + 0.137995i −0.842096 0.539328i \(-0.818678\pi\)
0.735686 + 0.677323i \(0.236860\pi\)
\(72\) −1.76272 + 1.71309i −0.207739 + 0.201889i
\(73\) 2.41276 + 1.45495i 0.282392 + 0.170289i 0.650526 0.759484i \(-0.274549\pi\)
−0.368134 + 0.929773i \(0.620003\pi\)
\(74\) 4.97338 4.06671i 0.578144 0.472746i
\(75\) −6.78235 + 7.20477i −0.783159 + 0.831935i
\(76\) 0.0591441 0.411357i 0.00678430 0.0471858i
\(77\) 10.6632 10.1492i 1.21518 1.15660i
\(78\) 9.60731 1.38132i 1.08781 0.156404i
\(79\) 2.00430 2.06237i 0.225501 0.232035i −0.594934 0.803774i \(-0.702822\pi\)
0.820435 + 0.571739i \(0.193731\pi\)
\(80\) 9.15372 3.20093i 1.02342 0.357874i
\(81\) −3.37118 10.3754i −0.374575 1.15282i
\(82\) −7.67658 + 1.55548i −0.847737 + 0.171774i
\(83\) 17.1257 + 1.47092i 1.87979 + 0.161455i 0.968286 0.249845i \(-0.0803795\pi\)
0.911500 + 0.411300i \(0.134925\pi\)
\(84\) 1.20104 1.10231i 0.131045 0.120272i
\(85\) −1.34321 1.04938i −0.145691 0.113821i
\(86\) 1.03236 + 12.0195i 0.111322 + 1.29610i
\(87\) 1.23353 + 4.20100i 0.132248 + 0.450395i
\(88\) −4.88744 + 7.43366i −0.521003 + 0.792431i
\(89\) 0.227239 + 0.0667232i 0.0240872 + 0.00707265i 0.293754 0.955881i \(-0.405095\pi\)
−0.269667 + 0.962954i \(0.586914\pi\)
\(90\) 0.364335 3.00726i 0.0384043 0.316993i
\(91\) 14.6292 1.67854i 1.53356 0.175959i
\(92\) 0.898063 0.614080i 0.0936296 0.0640223i
\(93\) 10.2455 18.1424i 1.06241 1.88128i
\(94\) 3.28511 2.38677i 0.338834 0.246177i
\(95\) −2.55848 4.30409i −0.262495 0.441590i
\(96\) −1.16905 + 1.70968i −0.119316 + 0.174494i
\(97\) 10.2449 + 5.40570i 1.04022 + 0.548866i 0.897553 0.440906i \(-0.145343\pi\)
0.142663 + 0.989771i \(0.454434\pi\)
\(98\) 14.1903 12.2960i 1.43344 1.24208i
\(99\) 1.54226 + 2.61883i 0.155003 + 0.263203i
\(100\) −0.489211 + 0.788536i −0.0489211 + 0.0788536i
\(101\) −3.84955 9.88748i −0.383044 0.983841i −0.982967 0.183783i \(-0.941166\pi\)
0.599923 0.800058i \(-0.295198\pi\)
\(102\) 2.22929 + 0.0636857i 0.220733 + 0.00630582i
\(103\) −4.01515 + 4.91033i −0.395625 + 0.483829i −0.933185 0.359397i \(-0.882982\pi\)
0.537560 + 0.843225i \(0.319346\pi\)
\(104\) −8.38142 + 2.99048i −0.821866 + 0.293241i
\(105\) 2.91813 19.4232i 0.284780 1.89551i
\(106\) −18.6159 + 3.22161i −1.80814 + 0.312911i
\(107\) 3.82289 7.77536i 0.369572 0.751672i −0.630120 0.776498i \(-0.716994\pi\)
0.999692 + 0.0248261i \(0.00790321\pi\)
\(108\) −0.376317 0.666371i −0.0362111 0.0641216i
\(109\) 0.0583198 0.127703i 0.00558602 0.0122317i −0.906818 0.421521i \(-0.861496\pi\)
0.912404 + 0.409290i \(0.134223\pi\)
\(110\) −1.06732 10.9118i −0.101765 1.04040i
\(111\) 3.57248 + 7.82264i 0.339085 + 0.742492i
\(112\) −11.3142 + 15.5727i −1.06909 + 1.47148i
\(113\) −0.309273 + 1.78712i −0.0290940 + 0.168118i −0.996309 0.0858415i \(-0.972642\pi\)
0.967215 + 0.253960i \(0.0817330\pi\)
\(114\) 6.03455 + 2.55022i 0.565187 + 0.238850i
\(115\) 3.77235 12.5532i 0.351774 1.17059i
\(116\) 0.191619 + 0.363158i 0.0177914 + 0.0337184i
\(117\) −0.346543 + 3.02026i −0.0320379 + 0.279223i
\(118\) −14.5279 4.72038i −1.33740 0.434547i
\(119\) 3.37793 + 0.193157i 0.309654 + 0.0177067i
\(120\) 0.940949 + 11.8325i 0.0858965 + 1.08016i
\(121\) 7.50038 + 8.04639i 0.681853 + 0.731490i
\(122\) 7.81917i 0.707914i
\(123\) 0.598567 10.4677i 0.0539710 0.943845i
\(124\) 0.603818 1.85836i 0.0542245 0.166886i
\(125\) 1.38089 + 11.0947i 0.123510 + 0.992343i
\(126\) 2.80608 + 5.31811i 0.249985 + 0.473775i
\(127\) −9.74714 3.79491i −0.864919 0.336744i −0.111087 0.993811i \(-0.535433\pi\)
−0.753832 + 0.657067i \(0.771797\pi\)
\(128\) 4.91587 11.6323i 0.434505 1.02816i
\(129\) −15.9123 2.75373i −1.40100 0.242453i
\(130\) 5.72262 9.35559i 0.501907 0.820540i
\(131\) 2.70001 + 5.91220i 0.235901 + 0.516551i 0.990146 0.140042i \(-0.0447239\pi\)
−0.754244 + 0.656594i \(0.771997\pi\)
\(132\) 0.814288 + 0.905984i 0.0708747 + 0.0788558i
\(133\) 9.04083 + 4.12881i 0.783939 + 0.358013i
\(134\) −2.63638 + 1.48883i −0.227748 + 0.128615i
\(135\) −8.57082 3.39950i −0.737658 0.292582i
\(136\) −2.01479 + 0.348673i −0.172767 + 0.0298984i
\(137\) 3.86138 16.6052i 0.329900 1.41868i −0.502534 0.864557i \(-0.667599\pi\)
0.832434 0.554124i \(-0.186947\pi\)
\(138\) 5.76332 + 16.1528i 0.490607 + 1.37502i
\(139\) 7.52114 + 6.15001i 0.637935 + 0.521637i 0.895750 0.444557i \(-0.146639\pi\)
−0.257816 + 0.966194i \(0.583003\pi\)
\(140\) −0.0935245 1.83961i −0.00790427 0.155476i
\(141\) 1.97209 + 5.06526i 0.166080 + 0.426572i
\(142\) −1.64053 1.42152i −0.137670 0.119292i
\(143\) 1.14037 + 10.9439i 0.0953622 + 0.915171i
\(144\) −2.60243 3.00336i −0.216869 0.250280i
\(145\) 4.54467 + 1.95456i 0.377414 + 0.162317i
\(146\) −2.35108 + 3.43835i −0.194577 + 0.284560i
\(147\) 11.0899 + 22.5557i 0.914680 + 1.86036i
\(148\) 0.474052 + 0.652477i 0.0389668 + 0.0536332i
\(149\) 8.45132 + 4.77268i 0.692359 + 0.390993i 0.797380 0.603477i \(-0.206218\pi\)
−0.105022 + 0.994470i \(0.533491\pi\)
\(150\) −10.0616 10.6186i −0.821523 0.867004i
\(151\) 2.62040 0.300663i 0.213246 0.0244676i −0.00671027 0.999977i \(-0.502136\pi\)
0.219956 + 0.975510i \(0.429409\pi\)
\(152\) −5.88685 1.19283i −0.477486 0.0967513i
\(153\) −0.196798 + 0.670232i −0.0159102 + 0.0541851i
\(154\) 14.0798 + 16.5950i 1.13458 + 1.33727i
\(155\) −8.40239 21.9918i −0.674896 1.76642i
\(156\) 0.104272 + 1.21402i 0.00834845 + 0.0971992i
\(157\) 12.3942 13.5044i 0.989167 1.07777i −0.00780236 0.999970i \(-0.502484\pi\)
0.996969 0.0777987i \(-0.0247891\pi\)
\(158\) 2.87483 + 3.13233i 0.228709 + 0.249195i
\(159\) 2.16419 25.1972i 0.171632 1.99827i
\(160\) 0.645103 + 2.24955i 0.0509999 + 0.177843i
\(161\) 8.04022 + 24.7452i 0.633658 + 1.95020i
\(162\) 15.5983 4.10007i 1.22552 0.322132i
\(163\) −14.5831 14.1724i −1.14223 1.11007i −0.992613 0.121326i \(-0.961285\pi\)
−0.149621 0.988743i \(-0.547805\pi\)
\(164\) −0.139937 0.973281i −0.0109272 0.0760005i
\(165\) 14.4901 + 2.33153i 1.12805 + 0.181509i
\(166\) −3.61642 + 25.1527i −0.280688 + 1.95223i
\(167\) −18.6655 + 14.3932i −1.44438 + 1.11378i −0.471663 + 0.881779i \(0.656346\pi\)
−0.972715 + 0.232003i \(0.925472\pi\)
\(168\) −14.9147 18.2399i −1.15069 1.40724i
\(169\) 1.02959 1.70738i 0.0791990 0.131337i
\(170\) 1.66221 1.89396i 0.127486 0.145260i
\(171\) −1.25302 + 1.62494i −0.0958207 + 0.124263i
\(172\) −1.51385 + 0.0432473i −0.115430 + 0.00329757i
\(173\) −2.52662 5.97871i −0.192096 0.454553i 0.796597 0.604511i \(-0.206632\pi\)
−0.988692 + 0.149958i \(0.952086\pi\)
\(174\) −6.30464 + 1.46608i −0.477953 + 0.111143i
\(175\) −14.7982 16.5388i −1.11864 1.25022i
\(176\) −11.5477 8.57502i −0.870441 0.646367i
\(177\) 11.0550 17.2020i 0.830948 1.29298i
\(178\) −0.117660 + 0.329764i −0.00881897 + 0.0247169i
\(179\) −6.51495 10.8038i −0.486951 0.807517i 0.511715 0.859155i \(-0.329010\pi\)
−0.998666 + 0.0516383i \(0.983556\pi\)
\(180\) 0.374300 + 0.0672160i 0.0278987 + 0.00500998i
\(181\) 13.6674 0.781531i 1.01589 0.0580907i 0.458797 0.888541i \(-0.348280\pi\)
0.557093 + 0.830450i \(0.311917\pi\)
\(182\) 1.24279 + 21.7338i 0.0921214 + 1.61102i
\(183\) 10.1230 + 2.66087i 0.748314 + 0.196697i
\(184\) −8.11984 13.4652i −0.598602 0.992671i
\(185\) 9.38194 + 2.52962i 0.689774 + 0.185981i
\(186\) 25.9129 + 16.6532i 1.90002 + 1.22107i
\(187\) −0.170608 + 2.52245i −0.0124761 + 0.184460i
\(188\) 0.275599 + 0.428841i 0.0201001 + 0.0312764i
\(189\) 17.8267 4.14541i 1.29670 0.301534i
\(190\) 6.56861 3.41297i 0.476537 0.247603i
\(191\) −0.522975 18.3065i −0.0378412 1.32461i −0.767609 0.640918i \(-0.778554\pi\)
0.729768 0.683695i \(-0.239628\pi\)
\(192\) 11.1680 + 8.61178i 0.805977 + 0.621501i
\(193\) −16.7419 + 16.2705i −1.20511 + 1.17118i −0.224656 + 0.974438i \(0.572126\pi\)
−0.980456 + 0.196738i \(0.936965\pi\)
\(194\) −8.84328 + 14.6649i −0.634910 + 1.05288i
\(195\) 10.1647 + 10.5925i 0.727910 + 0.758542i
\(196\) 1.43940 + 1.86665i 0.102814 + 0.133332i
\(197\) −5.87836 0.845180i −0.418815 0.0602166i −0.0703142 0.997525i \(-0.522400\pi\)
−0.348501 + 0.937308i \(0.613309\pi\)
\(198\) −3.99547 + 2.05529i −0.283946 + 0.146063i
\(199\) 2.76975 + 19.2641i 0.196343 + 1.36559i 0.814785 + 0.579763i \(0.196855\pi\)
−0.618443 + 0.785830i \(0.712236\pi\)
\(200\) 10.9745 + 7.70967i 0.776013 + 0.545156i
\(201\) −1.03034 3.91981i −0.0726744 0.276482i
\(202\) 14.9185 4.84730i 1.04966 0.341055i
\(203\) −9.62442 + 1.95016i −0.675502 + 0.136874i
\(204\) −0.0239589 + 0.278948i −0.00167746 + 0.0195303i
\(205\) −8.67728 8.06563i −0.606048 0.563328i
\(206\) −6.90859 6.34065i −0.481344 0.441774i
\(207\) −5.35197 + 0.459681i −0.371988 + 0.0319500i
\(208\) −4.05340 13.8046i −0.281053 0.957178i
\(209\) −3.15535 + 6.72309i −0.218260 + 0.465046i
\(210\) 28.4217 + 5.94635i 1.96128 + 0.410337i
\(211\) −1.23101 + 6.07529i −0.0847465 + 0.418240i 0.915139 + 0.403137i \(0.132080\pi\)
−0.999886 + 0.0151030i \(0.995192\pi\)
\(212\) −0.270359 2.35629i −0.0185683 0.161831i
\(213\) 2.39863 1.64014i 0.164352 0.112381i
\(214\) 11.1535 + 6.29867i 0.762437 + 0.430568i
\(215\) −13.8652 + 11.8616i −0.945601 + 0.808955i
\(216\) −9.92587 + 4.88022i −0.675370 + 0.332057i
\(217\) 38.5751 + 26.3770i 2.61865 + 1.79059i
\(218\) 0.183562 + 0.0968558i 0.0124324 + 0.00655991i
\(219\) −3.65135 4.21388i −0.246735 0.284748i
\(220\) 1.37527 0.0555670i 0.0927207 0.00374633i
\(221\) −1.65610 + 1.91124i −0.111401 + 0.128564i
\(222\) −11.8475 + 4.61263i −0.795149 + 0.309580i
\(223\) −1.36725 0.0390592i −0.0915578 0.00261560i −0.0172528 0.999851i \(-0.505492\pi\)
−0.0743050 + 0.997236i \(0.523674\pi\)
\(224\) −3.59612 2.94054i −0.240276 0.196473i
\(225\) 4.01776 2.20238i 0.267851 0.146825i
\(226\) −2.61162 0.607307i −0.173723 0.0403974i
\(227\) −0.0805751 0.465599i −0.00534796 0.0309029i 0.982559 0.185953i \(-0.0595371\pi\)
−0.987907 + 0.155050i \(0.950446\pi\)
\(228\) −0.362877 + 0.738054i −0.0240321 + 0.0488788i
\(229\) 10.6275 6.00162i 0.702285 0.396599i −0.0988339 0.995104i \(-0.531511\pi\)
0.801119 + 0.598505i \(0.204239\pi\)
\(230\) 18.2097 + 6.62733i 1.20071 + 0.436993i
\(231\) −26.2760 + 12.5810i −1.72883 + 0.827769i
\(232\) 5.39828 2.46531i 0.354414 0.161856i
\(233\) 0.737819 1.01552i 0.0483361 0.0665290i −0.784165 0.620553i \(-0.786908\pi\)
0.832501 + 0.554024i \(0.186908\pi\)
\(234\) −4.42855 0.766391i −0.289503 0.0501005i
\(235\) 5.82904 + 1.93481i 0.380245 + 0.126213i
\(236\) 0.695741 1.78700i 0.0452889 0.116324i
\(237\) −5.03355 + 2.65593i −0.326964 + 0.172521i
\(238\) −0.570185 + 4.96940i −0.0369596 + 0.322118i
\(239\) −0.832812 + 2.56313i −0.0538701 + 0.165795i −0.974372 0.224943i \(-0.927780\pi\)
0.920502 + 0.390738i \(0.127780\pi\)
\(240\) −19.1859 + 0.426679i −1.23845 + 0.0275420i
\(241\) −16.1775 −1.04208 −0.521042 0.853531i \(-0.674457\pi\)
−0.521042 + 0.853531i \(0.674457\pi\)
\(242\) −12.5092 + 10.3912i −0.804122 + 0.667971i
\(243\) 9.21896i 0.591397i
\(244\) 0.980004 + 0.0560386i 0.0627383 + 0.00358751i
\(245\) 27.6205 + 6.60728i 1.76461 + 0.422123i
\(246\) 15.3995 + 1.76693i 0.981836 + 0.112655i
\(247\) −6.57029 + 3.46679i −0.418058 + 0.220586i
\(248\) −26.3169 10.2461i −1.67113 0.650628i
\(249\) −31.3331 13.2415i −1.98565 0.839143i
\(250\) −16.4920 + 1.10176i −1.04304 + 0.0696813i
\(251\) −19.5220 14.1836i −1.23222 0.895261i −0.235166 0.971955i \(-0.575563\pi\)
−0.997055 + 0.0766943i \(0.975563\pi\)
\(252\) −0.686648 + 0.313582i −0.0432547 + 0.0197538i
\(253\) −18.5520 + 5.81504i −1.16635 + 0.365588i
\(254\) 6.42379 14.0661i 0.403065 0.882589i
\(255\) 1.88634 + 2.79648i 0.118127 + 0.175122i
\(256\) 3.96386 + 1.94890i 0.247741 + 0.121806i
\(257\) −4.42377 25.5625i −0.275947 1.59455i −0.717004 0.697069i \(-0.754487\pi\)
0.441057 0.897479i \(-0.354604\pi\)
\(258\) 5.40739 23.2536i 0.336649 1.44770i
\(259\) −18.1663 + 6.48173i −1.12880 + 0.402755i
\(260\) 1.13156 + 0.784287i 0.0701761 + 0.0486394i
\(261\) 0.0578941 2.02656i 0.00358355 0.125441i
\(262\) −8.95407 + 3.48614i −0.553185 + 0.215374i
\(263\) 12.7137 + 11.0164i 0.783957 + 0.679303i 0.951871 0.306499i \(-0.0991575\pi\)
−0.167914 + 0.985802i \(0.553703\pi\)
\(264\) 13.7447 11.0022i 0.845930 0.677139i
\(265\) −20.3660 20.0445i −1.25107 1.23132i
\(266\) −6.85700 + 12.9955i −0.420430 + 0.796803i
\(267\) −0.386887 0.264546i −0.0236771 0.0161900i
\(268\) −0.167706 0.341097i −0.0102443 0.0208358i
\(269\) 17.1781 12.4806i 1.04737 0.760958i 0.0756588 0.997134i \(-0.475894\pi\)
0.971710 + 0.236175i \(0.0758940\pi\)
\(270\) 5.74090 12.3633i 0.349380 0.752407i
\(271\) −10.1730 14.8775i −0.617966 0.903746i 0.381824 0.924235i \(-0.375296\pi\)
−0.999790 + 0.0204887i \(0.993478\pi\)
\(272\) −0.376837 3.28429i −0.0228491 0.199139i
\(273\) −28.5604 5.78709i −1.72855 0.350251i
\(274\) 24.1828 + 7.10072i 1.46094 + 0.428970i
\(275\) 12.4728 10.9284i 0.752138 0.659006i
\(276\) −2.06580 + 0.606573i −0.124346 + 0.0365114i
\(277\) 10.5881 0.909412i 0.636177 0.0546413i 0.236992 0.971512i \(-0.423839\pi\)
0.399185 + 0.916870i \(0.369293\pi\)
\(278\) −9.71196 + 10.5819i −0.582485 + 0.634659i
\(279\) −7.10794 + 6.52361i −0.425541 + 0.390558i
\(280\) −26.6218 0.168369i −1.59096 0.0100620i
\(281\) −3.10457 15.3216i −0.185203 0.914012i −0.959612 0.281327i \(-0.909225\pi\)
0.774409 0.632685i \(-0.218047\pi\)
\(282\) −7.64259 + 2.48323i −0.455109 + 0.147874i
\(283\) −0.927984 + 0.243924i −0.0551629 + 0.0144998i −0.281696 0.959504i \(-0.590897\pi\)
0.226533 + 0.974003i \(0.427261\pi\)
\(284\) 0.189922 0.195425i 0.0112698 0.0115963i
\(285\) 2.18326 + 9.66542i 0.129325 + 0.572530i
\(286\) −16.2490 + 0.759492i −0.960822 + 0.0449097i
\(287\) 23.2766 + 3.34667i 1.37397 + 0.197547i
\(288\) 0.759469 0.585638i 0.0447521 0.0345090i
\(289\) 12.7106 10.3934i 0.747681 0.611375i
\(290\) −3.26842 + 6.54280i −0.191928 + 0.384207i
\(291\) −15.9764 16.4394i −0.936555 0.963692i
\(292\) −0.414091 0.319312i −0.0242328 0.0186863i
\(293\) −24.3839 + 0.696593i −1.42452 + 0.0406954i −0.732297 0.680985i \(-0.761552\pi\)
−0.692227 + 0.721680i \(0.743370\pi\)
\(294\) −34.2274 + 14.4646i −1.99618 + 0.843594i
\(295\) −7.00055 22.0183i −0.407588 1.28196i
\(296\) 9.80602 6.30195i 0.569963 0.366293i
\(297\) 2.95871 + 13.3522i 0.171682 + 0.774771i
\(298\) −7.75758 + 12.0710i −0.449385 + 0.699256i
\(299\) −18.3165 6.53531i −1.05927 0.377946i
\(300\) 1.40297 1.18495i 0.0810007 0.0684131i
\(301\) 9.20764 35.0295i 0.530719 2.01907i
\(302\) 0.222610 + 3.89300i 0.0128097 + 0.224017i
\(303\) 1.19874 + 20.9636i 0.0688658 + 1.20433i
\(304\) 2.46872 9.39197i 0.141591 0.538666i
\(305\) 9.61171 6.89086i 0.550365 0.394570i
\(306\) −0.972629 0.347033i −0.0556015 0.0198386i
\(307\) −14.5454 + 22.6331i −0.830151 + 1.29174i 0.123960 + 0.992287i \(0.460441\pi\)
−0.954111 + 0.299453i \(0.903196\pi\)
\(308\) −2.18082 + 1.64574i −0.124264 + 0.0937748i
\(309\) 10.5599 6.78641i 0.600729 0.386065i
\(310\) 33.1682 10.5456i 1.88383 0.598947i
\(311\) −21.0335 + 8.88882i −1.19270 + 0.504039i −0.893027 0.450003i \(-0.851423\pi\)
−0.299672 + 0.954042i \(0.596877\pi\)
\(312\) 17.6036 0.502895i 0.996610 0.0284709i
\(313\) −13.9705 10.7729i −0.789660 0.608919i 0.134505 0.990913i \(-0.457056\pi\)
−0.924165 + 0.381994i \(0.875237\pi\)
\(314\) 18.8859 + 19.4332i 1.06580 + 1.09668i
\(315\) −4.06435 + 8.13611i −0.229000 + 0.458418i
\(316\) −0.413189 + 0.337863i −0.0232437 + 0.0190063i
\(317\) −18.9745 + 14.6315i −1.06571 + 0.821789i −0.984584 0.174914i \(-0.944035\pi\)
−0.0811313 + 0.996703i \(0.525853\pi\)
\(318\) 37.0076 + 5.32088i 2.07528 + 0.298380i
\(319\) −1.38225 7.20644i −0.0773914 0.403483i
\(320\) 15.5432 3.51094i 0.868889 0.196268i
\(321\) −11.9501 + 12.2963i −0.666987 + 0.686314i
\(322\) −37.2017 + 9.77861i −2.07317 + 0.544940i
\(323\) −1.62340 + 0.527474i −0.0903282 + 0.0293494i
\(324\) 0.402086 + 1.98437i 0.0223381 + 0.110243i
\(325\) 16.5436 1.21035i 0.917673 0.0671380i
\(326\) 22.1488 20.3279i 1.22671 1.12586i
\(327\) −0.187860 + 0.204687i −0.0103887 + 0.0113192i
\(328\) −14.1594 + 1.21615i −0.781820 + 0.0671506i
\(329\) −11.6975 + 3.43468i −0.644902 + 0.189360i
\(330\) −4.66420 + 21.1901i −0.256756 + 1.16648i
\(331\) −2.03660 0.597998i −0.111941 0.0328690i 0.225282 0.974294i \(-0.427670\pi\)
−0.337224 + 0.941425i \(0.609488\pi\)
\(332\) −3.12656 0.633524i −0.171592 0.0347691i
\(333\) −0.453925 3.95615i −0.0248750 0.216795i
\(334\) −19.6685 28.7643i −1.07622 1.57391i
\(335\) −4.15353 1.92869i −0.226931 0.105376i
\(336\) 30.8180 22.3906i 1.68126 1.22151i
\(337\) −5.91758 12.0358i −0.322351 0.655630i 0.674205 0.738544i \(-0.264486\pi\)
−0.996557 + 0.0829144i \(0.973577\pi\)
\(338\) 2.43313 + 1.66373i 0.132345 + 0.0904952i
\(339\) 1.67498 3.17444i 0.0909725 0.172412i
\(340\) 0.225463 + 0.221904i 0.0122275 + 0.0120345i
\(341\) −20.0088 + 28.6177i −1.08353 + 1.54973i
\(342\) −2.29260 1.98655i −0.123970 0.107420i
\(343\) −23.5791 + 9.18019i −1.27315 + 0.495684i
\(344\) −0.625053 + 21.8797i −0.0337006 + 1.17968i
\(345\) −14.7768 + 21.3197i −0.795556 + 1.14782i
\(346\) 9.03760 3.22461i 0.485865 0.173356i
\(347\) 0.771359 3.31710i 0.0414087 0.178071i −0.949230 0.314584i \(-0.898135\pi\)
0.990638 + 0.136513i \(0.0435895\pi\)
\(348\) −0.138565 0.800690i −0.00742786 0.0429215i
\(349\) 18.4683 + 9.08025i 0.988585 + 0.486055i 0.862550 0.505971i \(-0.168866\pi\)
0.126035 + 0.992026i \(0.459775\pi\)
\(350\) 25.6597 20.4457i 1.37157 1.09287i
\(351\) −5.68284 + 12.4437i −0.303327 + 0.664194i
\(352\) 2.22512 2.66411i 0.118599 0.141997i
\(353\) −0.449665 + 0.205355i −0.0239333 + 0.0109300i −0.427346 0.904088i \(-0.640551\pi\)
0.403412 + 0.915018i \(0.367824\pi\)
\(354\) 24.4565 + 17.7687i 1.29985 + 0.944394i
\(355\) 0.301648 3.26937i 0.0160098 0.173520i
\(356\) −0.0404873 0.0171101i −0.00214582 0.000906832i
\(357\) −6.23955 2.42928i −0.330232 0.128571i
\(358\) 16.4959 8.70401i 0.871837 0.460021i
\(359\) 14.5056 + 1.66437i 0.765578 + 0.0878419i 0.487979 0.872855i \(-0.337734\pi\)
0.277599 + 0.960697i \(0.410461\pi\)
\(360\) 1.27873 5.34548i 0.0673948 0.281732i
\(361\) 13.9630 + 0.798433i 0.734894 + 0.0420228i
\(362\) 20.2386i 1.06372i
\(363\) −9.19595 19.7310i −0.482662 1.03561i
\(364\) −2.73288 −0.143242
\(365\) −6.29856 + 0.140075i −0.329681 + 0.00733185i
\(366\) −4.78172 + 14.7166i −0.249944 + 0.769250i
\(367\) −2.86081 + 24.9332i −0.149333 + 1.30150i 0.676020 + 0.736884i \(0.263703\pi\)
−0.825353 + 0.564617i \(0.809024\pi\)
\(368\) 22.4839 11.8636i 1.17206 0.618430i
\(369\) −1.76142 + 4.52417i −0.0916959 + 0.235519i
\(370\) −4.52545 + 13.6339i −0.235267 + 0.708793i
\(371\) 55.8910 + 9.67231i 2.90171 + 0.502161i
\(372\) −2.27292 + 3.12840i −0.117845 + 0.162200i
\(373\) 14.6419 6.68675i 0.758131 0.346227i 0.00143970 0.999999i \(-0.499542\pi\)
0.756692 + 0.653772i \(0.226814\pi\)
\(374\) −3.70865 0.464702i −0.191770 0.0240292i
\(375\) 4.18586 21.7261i 0.216157 1.12193i
\(376\) 6.41533 3.62290i 0.330845 0.186837i
\(377\) 3.23851 6.58680i 0.166792 0.339237i
\(378\) 4.61393 + 26.6614i 0.237315 + 1.37131i
\(379\) 8.05806 + 1.87382i 0.413915 + 0.0962517i 0.428282 0.903645i \(-0.359119\pi\)
−0.0143675 + 0.999897i \(0.504573\pi\)
\(380\) 0.380683 + 0.847727i 0.0195286 + 0.0434875i
\(381\) 16.0246 + 13.1032i 0.820964 + 0.671299i
\(382\) 27.0639 + 0.773153i 1.38471 + 0.0395580i
\(383\) 33.5137 13.0481i 1.71247 0.666726i 0.713063 0.701100i \(-0.247307\pi\)
0.999409 + 0.0343733i \(0.0109435\pi\)
\(384\) −16.3659 + 18.8872i −0.835168 + 0.963835i
\(385\) −7.99120 + 31.9325i −0.407269 + 1.62743i
\(386\) −22.6017 26.0837i −1.15039 1.32763i
\(387\) 6.61349 + 3.48958i 0.336182 + 0.177385i
\(388\) −1.77463 1.21346i −0.0900931 0.0616041i
\(389\) 7.35445 3.61594i 0.372886 0.183336i −0.245151 0.969485i \(-0.578837\pi\)
0.618036 + 0.786149i \(0.287928\pi\)
\(390\) −16.4920 + 14.1088i −0.835103 + 0.714424i
\(391\) −3.89093 2.19731i −0.196773 0.111123i
\(392\) 28.1224 19.2296i 1.42039 0.971241i
\(393\) −1.46621 12.7786i −0.0739606 0.644597i
\(394\) 1.74358 8.60491i 0.0878403 0.433509i
\(395\) −1.31689 + 6.29434i −0.0662601 + 0.316702i
\(396\) −0.228962 0.515496i −0.0115058 0.0259047i
\(397\) −2.75693 9.38923i −0.138366 0.471232i 0.860931 0.508722i \(-0.169882\pi\)
−0.999297 + 0.0374902i \(0.988064\pi\)
\(398\) −28.6668 + 2.46219i −1.43694 + 0.123419i
\(399\) −14.4910 13.2997i −0.725458 0.665819i
\(400\) −13.4572 + 17.0025i −0.672862 + 0.850126i
\(401\) −1.01739 + 11.8452i −0.0508059 + 0.591522i 0.926018 + 0.377479i \(0.123209\pi\)
−0.976824 + 0.214043i \(0.931337\pi\)
\(402\) 5.87246 1.18991i 0.292891 0.0593475i
\(403\) −33.2191 + 10.7935i −1.65476 + 0.537665i
\(404\) 0.500611 + 1.90452i 0.0249063 + 0.0947535i
\(405\) 18.7864 + 15.5609i 0.933505 + 0.773226i
\(406\) −2.06608 14.3699i −0.102538 0.713165i
\(407\) −4.70174 13.6241i −0.233057 0.675324i
\(408\) 4.00530 + 0.575875i 0.198292 + 0.0285101i
\(409\) −6.92872 8.98532i −0.342603 0.444295i 0.588803 0.808276i \(-0.299599\pi\)
−0.931406 + 0.363981i \(0.881417\pi\)
\(410\) 12.6369 12.1266i 0.624094 0.598891i
\(411\) −17.4223 + 28.8917i −0.859380 + 1.42512i
\(412\) 0.844208 0.820436i 0.0415912 0.0404200i
\(413\) 36.3181 + 28.0055i 1.78710 + 1.37806i
\(414\) −0.226774 7.93811i −0.0111453 0.390137i
\(415\) −34.1061 + 17.7211i −1.67420 + 0.869894i
\(416\) 3.38186 0.786418i 0.165809 0.0385573i
\(417\) −10.3947 16.1745i −0.509032 0.792070i
\(418\) −9.65673 5.22460i −0.472326 0.255544i
\(419\) 15.7194 + 10.1022i 0.767942 + 0.493526i 0.865012 0.501751i \(-0.167311\pi\)
−0.0970703 + 0.995278i \(0.530947\pi\)
\(420\) −0.948970 + 3.51957i −0.0463050 + 0.171738i
\(421\) 5.30630 + 8.79952i 0.258613 + 0.428862i 0.958374 0.285515i \(-0.0921646\pi\)
−0.699761 + 0.714377i \(0.746710\pi\)
\(422\) −8.86302 2.32968i −0.431445 0.113407i
\(423\) −0.143689 2.51284i −0.00698642 0.122179i
\(424\) −34.2230 + 1.95694i −1.66202 + 0.0950375i
\(425\) 3.79302 + 0.374169i 0.183988 + 0.0181499i
\(426\) 2.21835 + 3.67872i 0.107479 + 0.178235i
\(427\) −7.88897 + 22.1104i −0.381774 + 1.07000i
\(428\) −0.869370 + 1.35277i −0.0420226 + 0.0653884i
\(429\) 4.54628 21.2950i 0.219496 1.02813i
\(430\) −16.3371 21.4657i −0.787845 1.03517i
\(431\) 24.5832 5.71659i 1.18413 0.275358i 0.412219 0.911085i \(-0.364754\pi\)
0.771914 + 0.635726i \(0.219299\pi\)
\(432\) −6.96111 16.4720i −0.334917 0.792508i
\(433\) 25.2240 0.720591i 1.21219 0.0346294i 0.583385 0.812196i \(-0.301728\pi\)
0.628801 + 0.777566i \(0.283546\pi\)
\(434\) −42.1871 + 54.7093i −2.02505 + 2.62613i
\(435\) −7.35833 6.45795i −0.352805 0.309635i
\(436\) −0.0134548 + 0.0223124i −0.000644370 + 0.00106857i
\(437\) −8.30915 10.1617i −0.397481 0.486098i
\(438\) 6.52771 5.03362i 0.311906 0.240515i
\(439\) 3.52869 24.5426i 0.168415 1.17135i −0.713746 0.700405i \(-0.753003\pi\)
0.882161 0.470948i \(-0.156088\pi\)
\(440\) 0.332941 19.8902i 0.0158724 0.948230i
\(441\) −1.65633 11.5200i −0.0788727 0.548572i
\(442\) −2.68114 2.60564i −0.127529 0.123938i
\(443\) −12.8164 + 3.36885i −0.608926 + 0.160059i −0.545756 0.837944i \(-0.683757\pi\)
−0.0631703 + 0.998003i \(0.520121\pi\)
\(444\) −0.493209 1.51794i −0.0234067 0.0720383i
\(445\) −0.509054 + 0.145981i −0.0241315 + 0.00692017i
\(446\) 0.173044 2.01472i 0.00819387 0.0953995i
\(447\) −12.9877 14.1511i −0.614298 0.669322i
\(448\) −21.3876 + 23.3033i −1.01047 + 1.10098i
\(449\) 0.0786072 + 0.915207i 0.00370970 + 0.0431913i 0.997953 0.0639593i \(-0.0203728\pi\)
−0.994243 + 0.107151i \(0.965827\pi\)
\(450\) 2.91154 + 6.11595i 0.137251 + 0.288309i
\(451\) −2.68171 + 17.3660i −0.126277 + 0.817733i
\(452\) 0.0948330 0.322971i 0.00446057 0.0151913i
\(453\) −5.11579 1.03659i −0.240361 0.0487034i
\(454\) 0.694008 0.0796300i 0.0325714 0.00373722i
\(455\) −25.6211 + 20.6813i −1.20113 + 0.969552i
\(456\) 10.3503 + 5.84508i 0.484697 + 0.273721i
\(457\) 13.8400 + 19.0491i 0.647406 + 0.891078i 0.998983 0.0450811i \(-0.0143546\pi\)
−0.351577 + 0.936159i \(0.614355\pi\)
\(458\) 7.96123 + 16.1923i 0.372004 + 0.756618i
\(459\) −1.77420 + 2.59468i −0.0828125 + 0.121109i
\(460\) −0.961133 + 2.23479i −0.0448130 + 0.104198i
\(461\) 11.6269 + 13.4182i 0.541519 + 0.624946i 0.958886 0.283792i \(-0.0915926\pi\)
−0.417367 + 0.908738i \(0.637047\pi\)
\(462\) −16.3514 39.8442i −0.760738 1.85372i
\(463\) 12.7469 + 11.0453i 0.592400 + 0.513318i 0.898669 0.438627i \(-0.144535\pi\)
−0.306269 + 0.951945i \(0.599081\pi\)
\(464\) 3.48105 + 8.94100i 0.161604 + 0.415075i
\(465\) 2.36552 + 46.5295i 0.109699 + 2.15776i
\(466\) 1.43660 + 1.17470i 0.0665493 + 0.0544171i
\(467\) −2.16910 6.07933i −0.100374 0.281318i 0.881095 0.472940i \(-0.156807\pi\)
−0.981469 + 0.191622i \(0.938625\pi\)
\(468\) 0.127793 0.549553i 0.00590724 0.0254031i
\(469\) 8.95705 1.55008i 0.413598 0.0715760i
\(470\) −3.34768 + 8.44016i −0.154417 + 0.389316i
\(471\) −31.5859 + 17.8374i −1.45540 + 0.821903i
\(472\) −25.2113 11.5136i −1.16045 0.529957i
\(473\) 26.1020 + 7.15241i 1.20017 + 0.328868i
\(474\) −3.49523 7.65349i −0.160541 0.351536i
\(475\) 9.98417 + 5.06669i 0.458105 + 0.232476i
\(476\) −0.618746 0.107078i −0.0283602 0.00490792i
\(477\) −4.55853 + 10.7868i −0.208721 + 0.493892i
\(478\) −3.71280 1.44553i −0.169820 0.0661168i
\(479\) −6.84008 12.9634i −0.312531 0.592313i 0.677109 0.735883i \(-0.263233\pi\)
−0.989640 + 0.143570i \(0.954142\pi\)
\(480\) 0.161526 4.62844i 0.00737260 0.211258i
\(481\) 4.45500 13.7111i 0.203131 0.625172i
\(482\) 1.36536 23.8774i 0.0621905 1.08759i
\(483\) 51.4905i 2.34290i
\(484\) −1.21271 1.64229i −0.0551233 0.0746497i
\(485\) −25.8203 + 2.05329i −1.17244 + 0.0932350i
\(486\) −13.6069 0.778068i −0.617219 0.0352939i
\(487\) 30.0833 + 9.77467i 1.36321 + 0.442932i 0.897112 0.441803i \(-0.145661\pi\)
0.466094 + 0.884735i \(0.345661\pi\)
\(488\) 1.61721 14.0947i 0.0732078 0.638036i
\(489\) 18.7801 + 35.5923i 0.849267 + 1.60954i
\(490\) −12.0832 + 40.2092i −0.545865 + 1.81647i
\(491\) 33.8562 + 14.3077i 1.52791 + 0.645699i 0.981438 0.191780i \(-0.0614261\pi\)
0.546469 + 0.837479i \(0.315972\pi\)
\(492\) −0.331821 + 1.91741i −0.0149596 + 0.0864435i
\(493\) 0.991303 1.36441i 0.0446460 0.0614500i
\(494\) −4.56233 9.99010i −0.205269 0.449476i
\(495\) −6.04759 3.10015i −0.271819 0.139341i
\(496\) 18.9674 41.5329i 0.851663 1.86488i
\(497\) 3.20473 + 5.67484i 0.143752 + 0.254551i
\(498\) 22.1884 45.1289i 0.994285 2.02227i
\(499\) 26.4238 4.57281i 1.18289 0.204707i 0.455057 0.890462i \(-0.349619\pi\)
0.727832 + 0.685755i \(0.240528\pi\)
\(500\) −0.0198920 2.07489i −0.000889597 0.0927921i
\(501\) 43.9327 15.6752i 1.96277 0.700314i
\(502\) 22.5821 27.6168i 1.00789 1.23260i
\(503\) −30.6465 0.875501i −1.36646 0.0390366i −0.662386 0.749163i \(-0.730456\pi\)
−0.704075 + 0.710126i \(0.748638\pi\)
\(504\) 3.95825 + 10.1667i 0.176315 + 0.452860i
\(505\) 19.1059 + 14.0667i 0.850200 + 0.625960i
\(506\) −7.01702 27.8728i −0.311945 1.23910i
\(507\) −2.98194 + 2.58386i −0.132432 + 0.114753i
\(508\) 1.71692 + 0.905927i 0.0761761 + 0.0401940i
\(509\) −19.6781 + 28.7783i −0.872215 + 1.27557i 0.0879453 + 0.996125i \(0.471970\pi\)
−0.960161 + 0.279449i \(0.909848\pi\)
\(510\) −4.28671 + 2.54815i −0.189819 + 0.112834i
\(511\) 10.1173 7.35061i 0.447561 0.325172i
\(512\) 9.20857 16.3063i 0.406965 0.720642i
\(513\) −7.62197 + 5.21177i −0.336518 + 0.230105i
\(514\) 38.1028 4.37188i 1.68064 0.192836i
\(515\) 1.70585 14.0803i 0.0751687 0.620451i
\(516\) 2.87570 + 0.844382i 0.126596 + 0.0371718i
\(517\) −2.47535 8.76695i −0.108866 0.385570i
\(518\) −8.03359 27.3599i −0.352976 1.20213i
\(519\) 1.09920 + 12.7978i 0.0482496 + 0.561760i
\(520\) 12.2505 15.6806i 0.537219 0.687640i
\(521\) −0.728893 + 0.668971i −0.0319334 + 0.0293082i −0.691983 0.721914i \(-0.743263\pi\)
0.660049 + 0.751222i \(0.270535\pi\)
\(522\) 2.98624 + 0.256488i 0.130704 + 0.0112262i
\(523\) 15.2281 3.08561i 0.665878 0.134924i 0.146158 0.989261i \(-0.453309\pi\)
0.519720 + 0.854337i \(0.326036\pi\)
\(524\) −0.372758 1.14723i −0.0162840 0.0501170i
\(525\) 17.7379 + 40.1777i 0.774144 + 1.75350i
\(526\) −17.3329 + 17.8351i −0.755750 + 0.777648i
\(527\) −7.94397 + 1.14217i −0.346045 + 0.0497537i
\(528\) 16.4902 + 23.2011i 0.717645 + 1.00970i
\(529\) 1.61709 11.2471i 0.0703081 0.489003i
\(530\) 31.3038 28.3677i 1.35975 1.23222i
\(531\) −7.32988 + 5.99361i −0.318090 + 0.260101i
\(532\) −1.57962 0.952549i −0.0684854 0.0412982i
\(533\) −12.6049 + 12.2499i −0.545978 + 0.530603i
\(534\) 0.423113 0.548703i 0.0183099 0.0237447i
\(535\) 2.08670 + 19.2613i 0.0902159 + 0.832740i
\(536\) −5.06021 + 2.13846i −0.218568 + 0.0923675i
\(537\) 5.65497 + 24.3183i 0.244030 + 1.04941i
\(538\) 16.9712 + 26.4077i 0.731679 + 1.13851i
\(539\) −14.8732 39.4106i −0.640636 1.69753i
\(540\) 1.50839 + 0.808134i 0.0649109 + 0.0347765i
\(541\) −16.3936 5.84923i −0.704817 0.251478i −0.0407693 0.999169i \(-0.512981\pi\)
−0.664047 + 0.747690i \(0.731163\pi\)
\(542\) 22.8173 13.7593i 0.980087 0.591014i
\(543\) −26.2017 6.88721i −1.12442 0.295558i
\(544\) 0.796492 0.0455450i 0.0341493 0.00195273i
\(545\) 0.0427094 + 0.311001i 0.00182947 + 0.0133218i
\(546\) 10.9520 41.6657i 0.468702 1.78313i
\(547\) −6.36442 + 3.83789i −0.272123 + 0.164096i −0.645899 0.763423i \(-0.723517\pi\)
0.373776 + 0.927519i \(0.378063\pi\)
\(548\) −1.06327 + 2.98003i −0.0454208 + 0.127301i
\(549\) −4.07726 2.62030i −0.174013 0.111832i
\(550\) 15.0772 + 19.3317i 0.642894 + 0.824308i
\(551\) 4.16771 2.67843i 0.177550 0.114105i
\(552\) 7.04801 + 30.3088i 0.299983 + 1.29003i
\(553\) −4.96890 11.7578i −0.211299 0.499994i
\(554\) 0.448639 + 15.7044i 0.0190608 + 0.667216i
\(555\) −16.1110 10.4985i −0.683873 0.445635i
\(556\) −1.25666 1.29307i −0.0532943 0.0548385i
\(557\) −33.8980 20.4413i −1.43631 0.866124i −0.436864 0.899528i \(-0.643911\pi\)
−0.999442 + 0.0334031i \(0.989365\pi\)
\(558\) −9.02871 11.0416i −0.382216 0.467430i
\(559\) 16.5314 + 21.4383i 0.699203 + 0.906743i
\(560\) 2.72892 42.9552i 0.115318 1.81519i
\(561\) 1.86368 4.64323i 0.0786846 0.196037i
\(562\) 22.8762 3.28910i 0.964974 0.138742i
\(563\) 13.8279 + 13.4385i 0.582777 + 0.566366i 0.928200 0.372081i \(-0.121356\pi\)
−0.345423 + 0.938447i \(0.612265\pi\)
\(564\) −0.256458 0.975669i −0.0107989 0.0410831i
\(565\) −1.55504 3.74554i −0.0654208 0.157576i
\(566\) −0.281703 1.39026i −0.0118409 0.0584369i
\(567\) −48.2442 4.14370i −2.02607 0.174019i
\(568\) −2.66317 2.90171i −0.111744 0.121753i
\(569\) 12.3010 + 11.2898i 0.515687 + 0.473293i 0.891255 0.453502i \(-0.149825\pi\)
−0.375569 + 0.926795i \(0.622553\pi\)
\(570\) −14.4501 + 2.40666i −0.605247 + 0.100804i
\(571\) −4.49857 + 1.32090i −0.188259 + 0.0552779i −0.374503 0.927226i \(-0.622187\pi\)
0.186244 + 0.982504i \(0.440369\pi\)
\(572\) 0.0212639 2.04198i 0.000889087 0.0853797i
\(573\) −10.2108 + 34.7749i −0.426564 + 1.45274i
\(574\) −6.90407 + 34.0729i −0.288170 + 1.42218i
\(575\) 7.90118 + 28.2248i 0.329502 + 1.17706i
\(576\) −3.68593 5.39050i −0.153580 0.224604i
\(577\) 11.5163 20.3927i 0.479428 0.848958i −0.520560 0.853825i \(-0.674277\pi\)
0.999988 + 0.00486768i \(0.00154944\pi\)
\(578\) 14.2675 + 19.6375i 0.593450 + 0.816814i
\(579\) 41.4604 20.3847i 1.72304 0.847160i
\(580\) −0.796608 0.456534i −0.0330774 0.0189565i
\(581\) 35.6035 67.4761i 1.47708 2.79938i
\(582\) 25.6123 22.1932i 1.06166 0.919936i
\(583\) −7.66193 + 41.6859i −0.317325 + 1.72645i
\(584\) −4.94916 + 5.71164i −0.204798 + 0.236349i
\(585\) −2.96070 6.11920i −0.122410 0.252998i
\(586\) 1.02983 36.0486i 0.0425417 1.48915i
\(587\) 8.40243 10.2757i 0.346805 0.424125i −0.571127 0.820862i \(-0.693494\pi\)
0.917933 + 0.396736i \(0.129857\pi\)
\(588\) −1.56760 4.39351i −0.0646467 0.181185i
\(589\) −22.9630 5.33981i −0.946172 0.220023i
\(590\) 33.0891 8.47424i 1.36226 0.348879i
\(591\) 10.5469 + 5.18557i 0.433842 + 0.213306i
\(592\) 9.26700 + 16.4097i 0.380871 + 0.674436i
\(593\) −19.3702 8.84607i −0.795438 0.363264i −0.0241159 0.999709i \(-0.507677\pi\)
−0.771322 + 0.636445i \(0.780404\pi\)
\(594\) −19.9570 + 3.24004i −0.818846 + 0.132940i
\(595\) −6.61113 + 3.67852i −0.271030 + 0.150805i
\(596\) −1.45731 1.05880i −0.0596937 0.0433700i
\(597\) 6.56769 37.9511i 0.268798 1.55323i
\(598\) 11.1918 26.4829i 0.457665 1.08297i
\(599\) 3.42212 8.78964i 0.139824 0.359135i −0.844487 0.535576i \(-0.820095\pi\)
0.984311 + 0.176441i \(0.0564583\pi\)
\(600\) −15.9406 21.2218i −0.650770 0.866378i
\(601\) 6.78583 + 0.778602i 0.276800 + 0.0317598i 0.251280 0.967914i \(-0.419149\pi\)
0.0255201 + 0.999674i \(0.491876\pi\)
\(602\) 50.9251 + 16.5466i 2.07555 + 0.674388i
\(603\) −0.107139 + 1.87365i −0.00436304 + 0.0763009i
\(604\) −0.489519 −0.0199182
\(605\) −23.7975 6.21941i −0.967504 0.252855i
\(606\) −31.0427 −1.26102
\(607\) −0.894636 + 15.6454i −0.0363122 + 0.635027i 0.928378 + 0.371638i \(0.121204\pi\)
−0.964690 + 0.263389i \(0.915160\pi\)
\(608\) 2.22884 + 0.724195i 0.0903915 + 0.0293700i
\(609\) 19.3069 + 2.21526i 0.782356 + 0.0897669i
\(610\) 9.35945 + 14.7681i 0.378953 + 0.597944i
\(611\) 3.30601 8.49141i 0.133747 0.343526i
\(612\) 0.0504656 0.119416i 0.00203995 0.00482710i
\(613\) 2.25927 13.0551i 0.0912509 0.527289i −0.903803 0.427949i \(-0.859236\pi\)
0.995054 0.0993394i \(-0.0316730\pi\)
\(614\) −32.1781 23.3787i −1.29860 0.943489i
\(615\) 11.3993 + 20.4870i 0.459662 + 0.826115i
\(616\) 21.9477 + 32.8260i 0.884299 + 1.32260i
\(617\) 33.2473 + 15.1835i 1.33849 + 0.611266i 0.950593 0.310438i \(-0.100476\pi\)
0.387893 + 0.921705i \(0.373203\pi\)
\(618\) 9.12526 + 16.1587i 0.367072 + 0.649999i
\(619\) −17.9944 8.84723i −0.723255 0.355600i 0.0421835 0.999110i \(-0.486569\pi\)
−0.765438 + 0.643510i \(0.777478\pi\)
\(620\) 1.08400 + 4.23266i 0.0435345 + 0.169988i
\(621\) −23.5436 5.47482i −0.944771 0.219697i
\(622\) −11.3444 31.7949i −0.454868 1.27486i
\(623\) 0.665417 0.813771i 0.0266594 0.0326030i
\(624\) −0.813058 + 28.4608i −0.0325484 + 1.13934i
\(625\) −15.8884 19.3018i −0.635535 0.772072i
\(626\) 17.0795 19.7108i 0.682633 0.787800i
\(627\) 10.0502 10.7241i 0.401365 0.428278i
\(628\) −2.57098 + 2.22777i −0.102593 + 0.0888976i
\(629\) 1.54587 2.92974i 0.0616377 0.116816i
\(630\) −11.6656 6.68551i −0.464768 0.266357i
\(631\) −15.2020 + 7.47431i −0.605181 + 0.297548i −0.717973 0.696071i \(-0.754930\pi\)
0.112792 + 0.993619i \(0.464021\pi\)
\(632\) 4.53426 + 6.24087i 0.180363 + 0.248248i
\(633\) 6.03219 10.6816i 0.239758 0.424557i
\(634\) −19.9942 29.2406i −0.794071 1.16129i
\(635\) 22.9520 4.49975i 0.910821 0.178567i
\(636\) −0.932112 + 4.60015i −0.0369606 + 0.182408i
\(637\) 11.8710 40.4288i 0.470345 1.60185i
\(638\) 10.7531 1.43194i 0.425720 0.0566912i
\(639\) −1.29101 + 0.379073i −0.0510714 + 0.0149959i
\(640\) 4.63914 + 27.8543i 0.183378 + 1.10104i
\(641\) −28.0497 25.7438i −1.10790 1.01682i −0.999743 0.0226837i \(-0.992779\pi\)
−0.108153 0.994134i \(-0.534494\pi\)
\(642\) −17.1404 18.6757i −0.676476 0.737069i
\(643\) 40.6265 + 3.48941i 1.60215 + 0.137609i 0.851959 0.523609i \(-0.175415\pi\)
0.750194 + 0.661218i \(0.229960\pi\)
\(644\) −0.958969 4.73270i −0.0377887 0.186494i
\(645\) 33.3499 13.8459i 1.31315 0.545180i
\(646\) −0.641519 2.44059i −0.0252402 0.0960239i
\(647\) 35.8341 + 34.8250i 1.40878 + 1.36911i 0.835178 + 0.549979i \(0.185364\pi\)
0.573605 + 0.819132i \(0.305545\pi\)
\(648\) 28.9651 4.16456i 1.13786 0.163599i
\(649\) −21.2080 + 26.9187i −0.832487 + 1.05665i
\(650\) 0.390172 + 24.5199i 0.0153038 + 0.961749i
\(651\) −56.4725 73.2348i −2.21333 2.87030i
\(652\) 2.38904 + 2.92167i 0.0935619 + 0.114421i
\(653\) −15.5505 9.37728i −0.608537 0.366961i 0.178433 0.983952i \(-0.442897\pi\)
−0.786970 + 0.616991i \(0.788352\pi\)
\(654\) −0.286255 0.294550i −0.0111935 0.0115178i
\(655\) −12.1764 7.93454i −0.475770 0.310028i
\(656\) −0.656118 22.9671i −0.0256171 0.896716i
\(657\) 1.00503 + 2.37819i 0.0392101 + 0.0927822i
\(658\) −4.08222 17.5549i −0.159141 0.684362i
\(659\) 0.194225 0.124821i 0.00756593 0.00486233i −0.536852 0.843676i \(-0.680387\pi\)
0.544418 + 0.838814i \(0.316750\pi\)
\(660\) −2.62241 0.736446i −0.102077 0.0286661i
\(661\) −5.20903 3.34764i −0.202608 0.130208i 0.435403 0.900236i \(-0.356606\pi\)
−0.638010 + 0.770028i \(0.720242\pi\)
\(662\) 1.05451 2.95547i 0.0409847 0.114868i
\(663\) 4.28577 2.58441i 0.166445 0.100370i
\(664\) −11.7211 + 44.5918i −0.454868 + 1.73050i
\(665\) −22.0176 + 3.02366i −0.853806 + 0.117252i
\(666\) 5.87744 0.336084i 0.227746 0.0130230i
\(667\) 12.5431 + 3.29701i 0.485672 + 0.127661i
\(668\) 3.74610 2.25898i 0.144941 0.0874026i
\(669\) 2.54944 + 0.909640i 0.0985672 + 0.0351687i
\(670\) 3.19723 5.96768i 0.123520 0.230551i
\(671\) −16.4593 6.06660i −0.635404 0.234198i
\(672\) 4.97009 + 7.73361i 0.191725 + 0.298331i
\(673\) −10.4209 44.8133i −0.401696 1.72743i −0.651070 0.759018i \(-0.725679\pi\)
0.249374 0.968407i \(-0.419775\pi\)
\(674\) 18.2638 7.71834i 0.703495 0.297299i
\(675\) 20.2569 3.83851i 0.779690 0.147744i
\(676\) −0.225960 + 0.293030i −0.00869075 + 0.0112704i
\(677\) −6.77779 + 6.58693i −0.260491 + 0.253156i −0.815592 0.578627i \(-0.803589\pi\)
0.555101 + 0.831783i \(0.312680\pi\)
\(678\) 4.54400 + 2.74013i 0.174511 + 0.105234i
\(679\) 39.8021 32.5461i 1.52747 1.24900i
\(680\) 3.38799 3.07022i 0.129923 0.117738i
\(681\) −0.133080 + 0.925589i −0.00509962 + 0.0354687i
\(682\) −40.5500 31.9475i −1.55274 1.22333i
\(683\) −0.581922 + 0.0836677i −0.0222666 + 0.00320145i −0.153439 0.988158i \(-0.549035\pi\)
0.131173 + 0.991360i \(0.458126\pi\)
\(684\) 0.265412 0.273103i 0.0101483 0.0104424i
\(685\) 12.5833 + 35.9845i 0.480782 + 1.37490i
\(686\) −11.5596 35.5768i −0.441347 1.35833i
\(687\) −23.6725 + 4.79666i −0.903161 + 0.183004i
\(688\) −35.2588 3.02838i −1.34423 0.115456i
\(689\) −31.2350 + 28.6672i −1.18996 + 1.09213i
\(690\) −30.2200 23.6094i −1.15046 0.898793i
\(691\) 2.01309 + 23.4380i 0.0765815 + 0.891622i 0.929318 + 0.369281i \(0.120396\pi\)
−0.852736 + 0.522342i \(0.825059\pi\)
\(692\) 0.339381 + 1.15583i 0.0129013 + 0.0439379i
\(693\) 13.3717 1.78065i 0.507949 0.0676414i
\(694\) 4.83082 + 1.41846i 0.183375 + 0.0538439i
\(695\) −21.5667 2.61285i −0.818073 0.0991109i
\(696\) −11.6678 + 1.33876i −0.442269 + 0.0507456i
\(697\) −3.33381 + 2.27960i −0.126277 + 0.0863460i
\(698\) −14.9608 + 26.4922i −0.566275 + 1.00274i
\(699\) −2.00969 + 1.46013i −0.0760136 + 0.0552271i
\(700\) 2.37864 + 3.36255i 0.0899041 + 0.127092i
\(701\) −7.56861 + 11.0687i −0.285862 + 0.418060i −0.941499 0.337016i \(-0.890582\pi\)
0.655636 + 0.755077i \(0.272400\pi\)
\(702\) −17.8868 9.43789i −0.675094 0.356210i
\(703\) 7.35403 6.37230i 0.277362 0.240336i
\(704\) −17.2456 16.1619i −0.649967 0.609124i
\(705\) −9.78776 7.20624i −0.368628 0.271403i
\(706\) −0.265146 0.681021i −0.00997889 0.0256306i
\(707\) −47.0758 1.34485i −1.77047 0.0505782i
\(708\) −2.40229 + 2.93787i −0.0902834 + 0.110412i
\(709\) −12.4822 + 4.45365i −0.468780 + 0.167260i −0.559867 0.828583i \(-0.689148\pi\)
0.0910867 + 0.995843i \(0.470966\pi\)
\(710\) 4.80002 + 0.721152i 0.180142 + 0.0270644i
\(711\) 2.59673 0.449381i 0.0973848 0.0168531i
\(712\) −0.280295 + 0.570092i −0.0105045 + 0.0213651i
\(713\) −30.3484 53.7401i −1.13656 2.01258i
\(714\) 4.11214 9.00432i 0.153893 0.336978i
\(715\) −15.2535 19.3047i −0.570448 0.721956i
\(716\) 0.972681 + 2.12987i 0.0363508 + 0.0795971i
\(717\) 3.13491 4.31483i 0.117075 0.161140i
\(718\) −3.68080 + 21.2693i −0.137366 + 0.793764i
\(719\) 27.3342 + 11.5515i 1.01939 + 0.430799i 0.833941 0.551854i \(-0.186079\pi\)
0.185453 + 0.982653i \(0.440625\pi\)
\(720\) 8.51021 + 2.55739i 0.317157 + 0.0953085i
\(721\) 13.1383 + 24.8998i 0.489296 + 0.927318i
\(722\) −2.35692 + 20.5415i −0.0877153 + 0.764475i
\(723\) 30.4480 + 9.89317i 1.13237 + 0.367931i
\(724\) −2.53657 0.145046i −0.0942709 0.00539060i
\(725\) −10.9231 + 1.74832i −0.405675 + 0.0649311i
\(726\) 29.8984 11.9076i 1.10963 0.441933i
\(727\) 20.2171i 0.749811i −0.927063 0.374905i \(-0.877675\pi\)
0.927063 0.374905i \(-0.122325\pi\)
\(728\) −2.25492 + 39.4340i −0.0835729 + 1.46152i
\(729\) −4.47579 + 13.7751i −0.165770 + 0.510187i
\(730\) 0.324844 9.30826i 0.0120230 0.344514i
\(731\) 2.90285 + 5.50151i 0.107366 + 0.203481i
\(732\) −1.81022 0.704781i −0.0669075 0.0260495i
\(733\) −4.48273 + 10.6074i −0.165573 + 0.391793i −0.982838 0.184468i \(-0.940944\pi\)
0.817265 + 0.576262i \(0.195489\pi\)
\(734\) −36.5590 6.32678i −1.34942 0.233526i
\(735\) −47.9445 29.3267i −1.76846 1.08173i
\(736\) 2.54858 + 5.58062i 0.0939420 + 0.205704i
\(737\) 1.08851 + 6.70468i 0.0400958 + 0.246970i
\(738\) −6.52885 2.98163i −0.240330 0.109755i
\(739\) −11.1753 + 6.31098i −0.411090 + 0.232153i −0.683381 0.730062i \(-0.739491\pi\)
0.272291 + 0.962215i \(0.412219\pi\)
\(740\) −1.67635 0.664903i −0.0616240 0.0244423i
\(741\) 14.4862 2.50693i 0.532162 0.0920943i
\(742\) −18.9931 + 81.6767i −0.697259 + 2.99845i
\(743\) 4.49020 + 12.5847i 0.164730 + 0.461687i 0.995481 0.0949558i \(-0.0302710\pi\)
−0.830752 + 0.556643i \(0.812089\pi\)
\(744\) 43.2657 + 35.3782i 1.58620 + 1.29703i
\(745\) −21.6749 + 1.10193i −0.794107 + 0.0403718i
\(746\) 8.63365 + 22.1753i 0.316100 + 0.811897i
\(747\) 11.9038 + 10.3147i 0.435539 + 0.377397i
\(748\) 0.0848221 0.461488i 0.00310140 0.0168737i
\(749\) −25.1840 29.0639i −0.920205 1.06197i
\(750\) 31.7137 + 8.01183i 1.15802 + 0.292551i
\(751\) 13.1147 19.1797i 0.478564 0.699877i −0.508346 0.861153i \(-0.669743\pi\)
0.986909 + 0.161276i \(0.0515610\pi\)
\(752\) 5.25567 + 10.6895i 0.191654 + 0.389806i
\(753\) 28.0691 + 38.6337i 1.02289 + 1.40789i
\(754\) 9.44855 + 5.33584i 0.344096 + 0.194320i
\(755\) −4.58929 + 3.70446i −0.167021 + 0.134819i
\(756\) −3.37463 + 0.387203i −0.122734 + 0.0140824i
\(757\) 39.7742 + 8.05930i 1.44562 + 0.292920i 0.856927 0.515437i \(-0.172370\pi\)
0.588692 + 0.808358i \(0.299643\pi\)
\(758\) −3.44578 + 11.7353i −0.125156 + 0.426244i
\(759\) 38.4732 + 0.400634i 1.39649 + 0.0145421i
\(760\) 12.5463 4.79358i 0.455104 0.173882i
\(761\) 1.39590 + 16.2522i 0.0506015 + 0.589142i 0.977091 + 0.212822i \(0.0682653\pi\)
−0.926490 + 0.376320i \(0.877189\pi\)
\(762\) −20.6923 + 22.5458i −0.749605 + 0.816748i
\(763\) −0.421342 0.459082i −0.0152536 0.0166199i
\(764\) −0.290864 + 3.38647i −0.0105231 + 0.122518i
\(765\) −0.430567 1.50144i −0.0155672 0.0542846i
\(766\) 16.4300 + 50.5663i 0.593640 + 1.82704i
\(767\) −33.1529 + 8.71437i −1.19708 + 0.314658i
\(768\) −6.26864 6.09211i −0.226200 0.219830i
\(769\) −5.74952 39.9888i −0.207333 1.44203i −0.781813 0.623513i \(-0.785705\pi\)
0.574480 0.818519i \(-0.305204\pi\)
\(770\) −46.4567 14.4898i −1.67418 0.522176i
\(771\) −7.30640 + 50.8171i −0.263134 + 1.83013i
\(772\) 3.43115 2.64581i 0.123490 0.0952248i
\(773\) −10.9230 13.3583i −0.392873 0.480464i 0.539487 0.841994i \(-0.318618\pi\)
−0.932360 + 0.361530i \(0.882255\pi\)
\(774\) −5.70866 + 9.46675i −0.205194 + 0.340275i
\(775\) 42.1935 + 31.4784i 1.51564 + 1.13074i
\(776\) −18.9738 + 24.6057i −0.681120 + 0.883293i
\(777\) 38.1551 1.09000i 1.36881 0.0391036i
\(778\) 4.71629 + 11.1601i 0.169087 + 0.400109i
\(779\) −11.5554 + 2.68710i −0.414016 + 0.0962752i
\(780\) −1.65010 2.16811i −0.0590832 0.0776309i
\(781\) −4.26512 + 2.35039i −0.152618 + 0.0841035i
\(782\) 3.57154 5.55742i 0.127718 0.198733i
\(783\) 3.06575 8.59238i 0.109561 0.307066i
\(784\) 28.4432 + 47.1677i 1.01583 + 1.68456i
\(785\) −7.24446 + 40.3416i −0.258566 + 1.43985i
\(786\) 18.9846 1.08558i 0.677157 0.0387212i
\(787\) −0.147190 2.57406i −0.00524677 0.0917554i 0.994691 0.102906i \(-0.0328142\pi\)
−0.999938 + 0.0111508i \(0.996451\pi\)
\(788\) 1.06599 + 0.280199i 0.0379742 + 0.00998168i
\(789\) −17.1917 28.5092i −0.612039 1.01495i
\(790\) −9.17907 2.47492i −0.326577 0.0880538i
\(791\) 6.77220 + 4.35223i 0.240792 + 0.154748i
\(792\) −7.62725 + 2.87846i −0.271022 + 0.102282i
\(793\) −9.48645 14.7612i −0.336874 0.524185i
\(794\) 14.0908 3.27668i 0.500065 0.116285i
\(795\) 26.0733 + 50.1807i 0.924724 + 1.77973i
\(796\) −0.103145 3.61056i −0.00365589 0.127973i
\(797\) −23.6117 18.2074i −0.836370 0.644937i 0.100375 0.994950i \(-0.467996\pi\)
−0.936745 + 0.350012i \(0.886177\pi\)
\(798\) 20.8529 20.2657i 0.738186 0.717399i
\(799\) 1.08121 1.79298i 0.0382504 0.0634312i
\(800\) −3.91110 3.47657i −0.138278 0.122915i
\(801\) 0.132525 + 0.171861i 0.00468253 + 0.00607241i
\(802\) −17.3973 2.50135i −0.614318 0.0883256i
\(803\) 5.41359 + 7.61671i 0.191041 + 0.268788i
\(804\) 0.107049 + 0.744544i 0.00377533 + 0.0262580i
\(805\) −44.8054 37.1125i −1.57918 1.30804i
\(806\) −13.1272 49.9412i −0.462387 1.75910i
\(807\) −39.9637 + 12.9850i −1.40679 + 0.457094i
\(808\) 27.8943 5.65211i 0.981317 0.198841i
\(809\) −1.23281 + 14.3533i −0.0433432 + 0.504635i 0.942182 + 0.335103i \(0.108771\pi\)
−0.985525 + 0.169532i \(0.945774\pi\)
\(810\) −24.5528 + 26.4148i −0.862699 + 0.928121i
\(811\) −1.53749 1.41109i −0.0539885 0.0495502i 0.648727 0.761022i \(-0.275302\pi\)
−0.702715 + 0.711471i \(0.748029\pi\)
\(812\) 1.81584 0.155962i 0.0637233 0.00547320i
\(813\) 10.0486 + 34.2225i 0.352421 + 1.20024i
\(814\) 20.5056 5.78974i 0.718719 0.202930i
\(815\) 44.5074 + 9.31178i 1.55903 + 0.326178i
\(816\) −1.29921 + 6.41188i −0.0454816 + 0.224461i
\(817\) 2.08292 + 18.1535i 0.0728721 + 0.635110i
\(818\) 13.8468 9.46819i 0.484141 0.331047i
\(819\) 11.7495 + 6.63523i 0.410559 + 0.231854i
\(820\) 1.42931 + 1.67074i 0.0499135 + 0.0583448i
\(821\) 7.39419 3.63548i 0.258059 0.126879i −0.307607 0.951513i \(-0.599528\pi\)
0.565666 + 0.824634i \(0.308619\pi\)
\(822\) −41.1727 28.1532i −1.43606 0.981954i
\(823\) −41.8350 22.0740i −1.45827 0.769453i −0.465009 0.885306i \(-0.653949\pi\)
−0.993266 + 0.115854i \(0.963040\pi\)
\(824\) −11.1419 12.8584i −0.388146 0.447944i
\(825\) −30.1584 + 12.9409i −1.04998 + 0.450546i
\(826\) −44.4003 + 51.2406i −1.54488 + 1.78289i
\(827\) 36.8359 14.3415i 1.28091 0.498703i 0.376915 0.926248i \(-0.376985\pi\)
0.903994 + 0.427545i \(0.140621\pi\)
\(828\) 0.996537 + 0.0284688i 0.0346321 + 0.000989358i
\(829\) −8.14824 6.66278i −0.283000 0.231408i 0.480848 0.876804i \(-0.340329\pi\)
−0.763848 + 0.645396i \(0.776692\pi\)
\(830\) −23.2772 51.8350i −0.807962 1.79922i
\(831\) −20.4842 4.76340i −0.710590 0.165241i
\(832\) −4.03144 23.2955i −0.139765 0.807626i
\(833\) 4.27173 8.68827i 0.148007 0.301031i
\(834\) 24.7503 13.9771i 0.857033 0.483989i
\(835\) 18.0251 49.5270i 0.623784 1.71395i
\(836\) 0.724026 1.17287i 0.0250410 0.0405645i
\(837\) −39.4905 + 18.0347i −1.36499 + 0.623371i
\(838\) −16.2372 + 22.3486i −0.560905 + 0.772020i
\(839\) −36.4361 6.30551i −1.25791 0.217690i −0.497691 0.867354i \(-0.665819\pi\)
−0.760222 + 0.649664i \(0.774910\pi\)
\(840\) 50.0025 + 16.5971i 1.72525 + 0.572656i
\(841\) 8.74553 22.4627i 0.301570 0.774576i
\(842\) −13.4356 + 7.08925i −0.463022 + 0.244312i
\(843\) −3.52660 + 30.7357i −0.121462 + 1.05860i
\(844\) 0.355507 1.09414i 0.0122370 0.0376618i
\(845\) 0.0991233 + 4.45715i 0.00340994 + 0.153330i
\(846\) 3.72099 0.127930
\(847\) 45.8564 16.7625i 1.57565 0.575965i
\(848\) 55.4206i 1.90315i
\(849\) 1.89575 + 0.108403i 0.0650619 + 0.00372037i
\(850\) −0.872385 + 5.56678i −0.0299226 + 0.190939i
\(851\) 25.3076 + 2.90377i 0.867532 + 0.0995400i
\(852\) −0.476966 + 0.251669i −0.0163406 + 0.00862204i
\(853\) 45.9078 + 17.8735i 1.57185 + 0.611979i 0.980863 0.194699i \(-0.0623731\pi\)
0.590991 + 0.806678i \(0.298737\pi\)
\(854\) −31.9683 13.5099i −1.09393 0.462300i
\(855\) 0.421547 4.56889i 0.0144166 0.156253i
\(856\) 18.8023 + 13.6607i 0.642651 + 0.466913i
\(857\) −20.4849 + 9.35514i −0.699751 + 0.319566i −0.733332 0.679870i \(-0.762036\pi\)
0.0335812 + 0.999436i \(0.489309\pi\)
\(858\) 31.0470 + 8.50741i 1.05993 + 0.290438i
\(859\) −2.14702 + 4.70132i −0.0732554 + 0.160407i −0.942717 0.333594i \(-0.891739\pi\)
0.869462 + 0.494001i \(0.164466\pi\)
\(860\) 2.80746 1.89374i 0.0957335 0.0645762i
\(861\) −41.7627 20.5333i −1.42327 0.699775i
\(862\) 6.36269 + 36.7665i 0.216714 + 1.25227i
\(863\) 2.16436 9.30748i 0.0736757 0.316830i −0.924205 0.381896i \(-0.875271\pi\)
0.997881 + 0.0650659i \(0.0207258\pi\)
\(864\) 4.06458 1.45024i 0.138280 0.0493381i
\(865\) 11.9285 + 8.26770i 0.405581 + 0.281110i
\(866\) −1.06530 + 37.2905i −0.0362005 + 1.26718i
\(867\) −30.2788 + 11.7886i −1.02832 + 0.400362i
\(868\) −6.55456 5.67956i −0.222476 0.192777i
\(869\) 8.82400 3.62123i 0.299334 0.122842i
\(870\) 10.1527 10.3156i 0.344210 0.349731i
\(871\) −3.17072 + 6.00918i −0.107436 + 0.203613i
\(872\) 0.310853 + 0.212556i 0.0105268 + 0.00719806i
\(873\) 4.68346 + 9.52567i 0.158511 + 0.322395i
\(874\) 15.6995 11.4064i 0.531045 0.385827i
\(875\) 47.7463 + 13.5238i 1.61412 + 0.457186i
\(876\) 0.584098 + 0.854216i 0.0197348 + 0.0288613i
\(877\) 2.41879 + 21.0807i 0.0816766 + 0.711845i 0.968375 + 0.249498i \(0.0802655\pi\)
−0.886699 + 0.462348i \(0.847007\pi\)
\(878\) 35.9261 + 7.27958i 1.21245 + 0.245674i
\(879\) 46.3195 + 13.6006i 1.56232 + 0.458738i
\(880\) 32.0744 + 2.37325i 1.08123 + 0.0800021i
\(881\) −18.1381 + 5.32583i −0.611088 + 0.179432i −0.572610 0.819828i \(-0.694069\pi\)
−0.0384781 + 0.999259i \(0.512251\pi\)
\(882\) 17.1429 1.47241i 0.577232 0.0495785i
\(883\) 38.1410 41.5574i 1.28355 1.39852i 0.409771 0.912188i \(-0.365609\pi\)
0.873776 0.486329i \(-0.161664\pi\)
\(884\) 0.345790 0.317363i 0.0116302 0.0106741i
\(885\) −0.289170 + 45.7223i −0.00972036 + 1.53694i
\(886\) −3.89061 19.2009i −0.130707 0.645067i
\(887\) −50.7487 + 16.4893i −1.70398 + 0.553655i −0.989312 0.145814i \(-0.953420\pi\)
−0.714663 + 0.699469i \(0.753420\pi\)
\(888\) −22.3100 + 5.86427i −0.748675 + 0.196792i
\(889\) −32.3564 + 33.2940i −1.08520 + 1.11664i
\(890\) −0.172499 0.763666i −0.00578220 0.0255982i
\(891\) 3.47151 36.0153i 0.116300 1.20656i
\(892\) 0.251271 + 0.0361273i 0.00841318 + 0.00120963i
\(893\) 4.87058 3.75578i 0.162988 0.125682i
\(894\) 21.9826 17.9751i 0.735208 0.601177i
\(895\) 25.2369 + 12.6070i 0.843577 + 0.421405i
\(896\) −39.0647 40.1966i −1.30506 1.34288i
\(897\) 30.4772 + 23.5015i 1.01761 + 0.784691i
\(898\) −1.35745 + 0.0387791i −0.0452986 + 0.00129408i
\(899\) 21.4561 9.06743i 0.715601 0.302416i
\(900\) −0.787400 + 0.321081i −0.0262467 + 0.0107027i
\(901\) −8.19506 + 5.26665i −0.273017 + 0.175457i
\(902\) −25.4052 5.42377i −0.845902 0.180592i
\(903\) −38.7518 + 60.2989i −1.28958 + 2.00662i
\(904\) −4.58205 1.63487i −0.152397 0.0543751i
\(905\) −24.8783 + 17.8358i −0.826981 + 0.592883i
\(906\) 1.96174 7.46323i 0.0651744 0.247949i
\(907\) 0.0915221 + 1.60054i 0.00303894 + 0.0531450i 0.999535 0.0304961i \(-0.00970871\pi\)
−0.996496 + 0.0836411i \(0.973345\pi\)
\(908\) 0.00500647 + 0.0875532i 0.000166146 + 0.00290556i
\(909\) 2.47176 9.40354i 0.0819830 0.311896i
\(910\) −28.3624 39.5613i −0.940205 1.31144i
\(911\) 3.40415 + 1.21460i 0.112785 + 0.0402414i 0.391839 0.920034i \(-0.371839\pi\)
−0.279054 + 0.960275i \(0.590021\pi\)
\(912\) −10.3900 + 16.1671i −0.344046 + 0.535346i
\(913\) 50.1405 + 27.1276i 1.65941 + 0.897792i
\(914\) −29.2838 + 18.8196i −0.968622 + 0.622496i
\(915\) −22.3044 + 7.09151i −0.737362 + 0.234438i
\(916\) −2.08650 + 0.881762i −0.0689399 + 0.0291342i
\(917\) 28.8369 0.823803i 0.952277 0.0272044i
\(918\) −3.67992 2.83764i −0.121455 0.0936561i
\(919\) 1.23408 + 1.26984i 0.0407084 + 0.0418880i 0.737180 0.675696i \(-0.236157\pi\)
−0.696472 + 0.717584i \(0.745248\pi\)
\(920\) 31.4537 + 15.7126i 1.03700 + 0.518027i
\(921\) 41.2173 33.7032i 1.35816 1.11056i
\(922\) −20.7860 + 16.0284i −0.684551 + 0.527867i
\(923\) −4.82165 0.693249i −0.158707 0.0228186i
\(924\) 5.11100 1.76383i 0.168140 0.0580256i
\(925\) −20.7477 + 6.45236i −0.682179 + 0.212152i
\(926\) −17.3783 + 17.8818i −0.571085 + 0.587633i
\(927\) −5.62145 + 1.47762i −0.184633 + 0.0485314i
\(928\) −2.20216 + 0.715525i −0.0722894 + 0.0234883i
\(929\) 2.95510 + 14.5840i 0.0969537 + 0.478485i 0.998911 + 0.0466597i \(0.0148576\pi\)
−0.901957 + 0.431825i \(0.857870\pi\)
\(930\) −68.8756 0.435603i −2.25852 0.0142840i
\(931\) 20.9530 19.2305i 0.686706 0.630253i
\(932\) −0.157526 + 0.171635i −0.00515992 + 0.00562210i
\(933\) 45.0234 3.86707i 1.47400 0.126602i
\(934\) 9.15595 2.68843i 0.299592 0.0879681i
\(935\) −2.69712 4.96839i −0.0882052 0.162484i
\(936\) −7.82431 2.29742i −0.255746 0.0750937i
\(937\) −18.5064 3.74987i −0.604576 0.122503i −0.113380 0.993552i \(-0.536168\pi\)
−0.491197 + 0.871049i \(0.663440\pi\)
\(938\) 1.53190 + 13.3511i 0.0500182 + 0.435929i
\(939\) 19.7062 + 28.8194i 0.643087 + 0.940484i
\(940\) −1.03384 0.480066i −0.0337203 0.0156580i
\(941\) 27.6097 20.0596i 0.900049 0.653924i −0.0384296 0.999261i \(-0.512236\pi\)
0.938479 + 0.345337i \(0.112236\pi\)
\(942\) −23.6615 48.1251i −0.770934 1.56800i
\(943\) −25.6370 17.5301i −0.834855 0.570859i
\(944\) 20.9113 39.6313i 0.680605 1.28989i
\(945\) −28.7073 + 29.1678i −0.933850 + 0.948828i
\(946\) −12.7597 + 37.9220i −0.414853 + 1.23295i
\(947\) −2.78126 2.40997i −0.0903788 0.0783137i 0.608500 0.793554i \(-0.291772\pi\)
−0.698878 + 0.715241i \(0.746317\pi\)
\(948\) 0.984289 0.383219i 0.0319682 0.0124464i
\(949\) −0.266920 + 9.34340i −0.00866458 + 0.303300i
\(950\) −8.32090 + 14.3086i −0.269966 + 0.464234i
\(951\) 44.6601 15.9347i 1.44820 0.516718i
\(952\) −2.05561 + 8.83981i −0.0666227 + 0.286500i
\(953\) 9.93638 + 57.4169i 0.321871 + 1.85991i 0.486668 + 0.873587i \(0.338212\pi\)
−0.164797 + 0.986328i \(0.552697\pi\)
\(954\) −15.5362 7.63861i −0.503001 0.247309i
\(955\) 22.9004 + 33.9497i 0.741041 + 1.09859i
\(956\) 0.207782 0.454979i 0.00672014 0.0147151i
\(957\) −1.80544 + 14.4087i −0.0583617 + 0.465767i
\(958\) 19.7108 9.00162i 0.636827 0.290829i
\(959\) −61.2181 44.4776i −1.97684 1.43626i
\(960\) −31.4012 2.89722i −1.01347 0.0935074i
\(961\) −73.5494 31.0822i −2.37256 1.00265i
\(962\) 19.8611 + 7.73262i 0.640347 + 0.249310i
\(963\) 7.02208 3.70517i 0.226283 0.119397i
\(964\) 2.98286 + 0.342251i 0.0960713 + 0.0110232i
\(965\) 12.1450 50.7701i 0.390963 1.63435i
\(966\) 75.9981 + 4.34573i 2.44520 + 0.139821i
\(967\) 24.7993i 0.797493i 0.917061 + 0.398746i \(0.130555\pi\)
−0.917061 + 0.398746i \(0.869445\pi\)
\(968\) −24.6980 + 16.1437i −0.793824 + 0.518878i
\(969\) 3.37800 0.108517
\(970\) −0.851384 38.2831i −0.0273363 1.22920i
\(971\) −3.28031 + 10.0957i −0.105270 + 0.323988i −0.989794 0.142507i \(-0.954484\pi\)
0.884524 + 0.466495i \(0.154484\pi\)
\(972\) 0.195036 1.69982i 0.00625578 0.0545217i
\(973\) 38.1390 20.1239i 1.22268 0.645143i
\(974\) −16.9661 + 43.5769i −0.543627 + 1.39630i
\(975\) −31.8772 7.83902i −1.02089 0.251049i
\(976\) 22.6012 + 3.91129i 0.723447 + 0.125197i
\(977\) 4.38104 6.02998i 0.140162 0.192916i −0.733165 0.680051i \(-0.761958\pi\)
0.873327 + 0.487134i \(0.161958\pi\)
\(978\) −54.1180 + 24.7149i −1.73050 + 0.790294i
\(979\) 0.602864 + 0.503525i 0.0192676 + 0.0160927i
\(980\) −4.95297 1.80261i −0.158217 0.0575822i
\(981\) 0.112019 0.0632600i 0.00357649 0.00201974i
\(982\) −23.9751 + 48.7629i −0.765077 + 1.55609i
\(983\) −8.46995 48.9432i −0.270149 1.56104i −0.736496 0.676442i \(-0.763521\pi\)
0.466346 0.884602i \(-0.345570\pi\)
\(984\) 27.3934 + 6.37006i 0.873269 + 0.203070i
\(985\) 12.1142 5.44003i 0.385989 0.173334i
\(986\) 1.93016 + 1.57828i 0.0614687 + 0.0502627i
\(987\) 24.1165 + 0.688952i 0.767636 + 0.0219296i
\(988\) 1.28479 0.500215i 0.0408747 0.0159140i
\(989\) −31.3251 + 36.1511i −0.996080 + 1.14954i
\(990\) 5.08611 8.66438i 0.161647 0.275372i
\(991\) −30.2116 34.8660i −0.959702 1.10756i −0.994135 0.108149i \(-0.965508\pi\)
0.0344323 0.999407i \(-0.489038\pi\)
\(992\) 9.74541 + 5.14213i 0.309417 + 0.163263i
\(993\) 3.46742 + 2.37096i 0.110035 + 0.0752402i
\(994\) −8.64633 + 4.25112i −0.274245 + 0.134837i
\(995\) −28.2901 33.0688i −0.896857 1.04835i
\(996\) 5.49714 + 3.10438i 0.174184 + 0.0983660i
\(997\) 0.408552 0.279360i 0.0129390 0.00884743i −0.557956 0.829870i \(-0.688414\pi\)
0.570895 + 0.821023i \(0.306596\pi\)
\(998\) 4.51917 + 39.3864i 0.143052 + 1.24676i
\(999\) 3.55852 17.5620i 0.112586 0.555636i
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 605.2.u.a.4.18 2560
5.4 even 2 inner 605.2.u.a.4.47 yes 2560
121.91 even 55 inner 605.2.u.a.454.47 yes 2560
605.454 even 110 inner 605.2.u.a.454.18 yes 2560
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
605.2.u.a.4.18 2560 1.1 even 1 trivial
605.2.u.a.4.47 yes 2560 5.4 even 2 inner
605.2.u.a.454.18 yes 2560 605.454 even 110 inner
605.2.u.a.454.47 yes 2560 121.91 even 55 inner