Properties

Label 403.2.cb.a.15.1
Level $403$
Weight $2$
Character 403.15
Analytic conductor $3.218$
Analytic rank $0$
Dimension $576$
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] = [403,2,Mod(15,403)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(403, base_ring=CyclotomicField(60))
 
chi = DirichletCharacter(H, H._module([5, 42]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("403.15");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 403 = 13 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 403.cb (of order \(60\), degree \(16\), 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: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(576\)
Relative dimension: \(36\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 15.1
Character \(\chi\) \(=\) 403.15
Dual form 403.2.cb.a.215.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-2.56739 + 0.985528i) q^{2} +(-0.915361 - 0.0962083i) q^{3} +(4.13393 - 3.72220i) q^{4} +(0.706575 - 0.706575i) q^{5} +(2.44490 - 0.655110i) q^{6} +(-0.0270244 + 0.515657i) q^{7} +(-4.44807 + 8.72982i) q^{8} +(-2.10581 - 0.447604i) q^{9} +O(q^{10})\) \(q+(-2.56739 + 0.985528i) q^{2} +(-0.915361 - 0.0962083i) q^{3} +(4.13393 - 3.72220i) q^{4} +(0.706575 - 0.706575i) q^{5} +(2.44490 - 0.655110i) q^{6} +(-0.0270244 + 0.515657i) q^{7} +(-4.44807 + 8.72982i) q^{8} +(-2.10581 - 0.447604i) q^{9} +(-1.11770 + 2.51040i) q^{10} +(-2.34166 + 3.60584i) q^{11} +(-4.14214 + 3.00944i) q^{12} +(3.13623 - 1.77878i) q^{13} +(-0.438812 - 1.35052i) q^{14} +(-0.714749 + 0.578792i) q^{15} +(1.65350 - 15.7320i) q^{16} +(6.78949 + 1.44315i) q^{17} +(5.84757 - 0.926164i) q^{18} +(-4.82154 - 3.90440i) q^{19} +(0.290913 - 5.55094i) q^{20} +(0.0743476 - 0.469412i) q^{21} +(2.45829 - 11.5654i) q^{22} +(1.24986 - 1.38811i) q^{23} +(4.91147 - 7.56300i) q^{24} +4.00150i q^{25} +(-6.29888 + 7.65767i) q^{26} +(4.51058 + 1.46558i) q^{27} +(1.80766 + 2.23228i) q^{28} +(0.533097 - 1.19736i) q^{29} +(1.26462 - 2.19039i) q^{30} +(4.18520 + 3.67208i) q^{31} +(6.18748 + 23.0920i) q^{32} +(2.49037 - 3.07536i) q^{33} +(-18.8535 + 2.98610i) q^{34} +(0.345255 + 0.383445i) q^{35} +(-10.3714 + 5.98790i) q^{36} +(6.39514 + 1.71357i) q^{37} +(16.2266 + 5.27236i) q^{38} +(-3.04191 + 1.32650i) q^{39} +(3.02538 + 9.31116i) q^{40} +(1.75378 - 0.673211i) q^{41} +(0.271740 + 1.27843i) q^{42} +(-0.891115 - 8.47839i) q^{43} +(3.74142 + 23.6224i) q^{44} +(-1.80418 + 1.17165i) q^{45} +(-1.84085 + 4.79558i) q^{46} +(1.42187 + 8.97736i) q^{47} +(-3.02710 + 14.2414i) q^{48} +(6.69648 + 0.703829i) q^{49} +(-3.94359 - 10.2734i) q^{50} +(-6.07599 - 1.97421i) q^{51} +(6.34394 - 19.0270i) q^{52} +(-3.19588 + 1.03840i) q^{53} +(-13.0248 + 0.682600i) q^{54} +(0.893237 + 4.20235i) q^{55} +(-4.38139 - 2.52959i) q^{56} +(4.03781 + 4.03781i) q^{57} +(-0.188640 + 3.59946i) q^{58} +(1.01429 + 0.389350i) q^{59} +(-0.800337 + 5.05313i) q^{60} +(6.99495 + 4.03854i) q^{61} +(-14.3640 - 5.30301i) q^{62} +(0.287719 - 1.07378i) q^{63} +(-20.0475 - 27.5930i) q^{64} +(0.959137 - 3.47282i) q^{65} +(-3.36291 + 10.3500i) q^{66} +(12.6703 + 3.39501i) q^{67} +(33.4389 - 19.3060i) q^{68} +(-1.27762 + 1.15037i) q^{69} +(-1.26430 - 0.644193i) q^{70} +(0.374442 - 0.243165i) q^{71} +(13.2743 - 16.3924i) q^{72} +(2.99429 + 5.87662i) q^{73} +(-18.1076 + 1.90318i) q^{74} +(0.384978 - 3.66282i) q^{75} +(-34.4648 + 1.80623i) q^{76} +(-1.79609 - 1.30494i) q^{77} +(6.50248 - 6.40352i) q^{78} +(-1.02824 + 0.334096i) q^{79} +(-9.94751 - 12.2841i) q^{80} +(1.91239 + 0.851452i) q^{81} +(-3.83915 + 3.45679i) q^{82} +(5.65071 + 0.894985i) q^{83} +(-1.43990 - 2.21725i) q^{84} +(5.81697 - 3.77759i) q^{85} +(10.6435 + 20.8891i) q^{86} +(-0.603172 + 1.04472i) q^{87} +(-21.0625 - 36.4813i) q^{88} +(6.03617 - 9.29489i) q^{89} +(3.47734 - 4.78615i) q^{90} +(0.832487 + 1.66529i) q^{91} -10.3905i q^{92} +(-3.47768 - 3.76392i) q^{93} +(-12.4979 - 21.6471i) q^{94} +(-6.16553 + 0.648023i) q^{95} +(-3.44213 - 21.7328i) q^{96} +(1.06553 + 0.0558421i) q^{97} +(-17.8861 + 4.79257i) q^{98} +(6.54508 - 6.54508i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 576 q - 12 q^{2} - 10 q^{3} - 18 q^{4} - 32 q^{5} - 4 q^{7} - 22 q^{8} - 74 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 576 q - 12 q^{2} - 10 q^{3} - 18 q^{4} - 32 q^{5} - 4 q^{7} - 22 q^{8} - 74 q^{9} - 18 q^{10} - 30 q^{13} - 80 q^{14} + 10 q^{15} - 78 q^{16} - 30 q^{17} + 2 q^{18} - 16 q^{19} + 34 q^{20} - 70 q^{21} - 60 q^{22} - 30 q^{23} + 20 q^{24} + 80 q^{27} - 16 q^{28} - 10 q^{29} + 24 q^{31} - 112 q^{32} + 4 q^{33} - 20 q^{34} - 38 q^{35} - 48 q^{36} + 28 q^{39} + 8 q^{40} - 22 q^{41} - 10 q^{42} - 120 q^{43} - 60 q^{44} + 18 q^{45} - 100 q^{46} + 4 q^{47} - 10 q^{48} - 78 q^{49} - 120 q^{50} + 20 q^{52} - 80 q^{54} - 10 q^{55} + 432 q^{56} + 70 q^{58} + 52 q^{59} + 160 q^{60} - 72 q^{62} - 316 q^{63} - 30 q^{65} + 40 q^{66} - 44 q^{67} + 174 q^{69} + 66 q^{70} - 20 q^{71} - 264 q^{72} - 20 q^{73} - 10 q^{74} + 210 q^{75} + 26 q^{76} + 96 q^{78} + 40 q^{79} - 18 q^{80} + 54 q^{81} - 138 q^{82} - 290 q^{83} + 220 q^{84} - 30 q^{85} - 20 q^{86} - 8 q^{87} - 10 q^{89} + 70 q^{91} - 134 q^{93} - 24 q^{94} + 102 q^{95} - 70 q^{96} - 110 q^{97} + 200 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{1}{12}\right)\) \(e\left(\frac{7}{10}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.56739 + 0.985528i −1.81542 + 0.696873i −0.823927 + 0.566696i \(0.808221\pi\)
−0.991491 + 0.130177i \(0.958445\pi\)
\(3\) −0.915361 0.0962083i −0.528484 0.0555459i −0.163471 0.986548i \(-0.552269\pi\)
−0.365013 + 0.931002i \(0.618936\pi\)
\(4\) 4.13393 3.72220i 2.06696 1.86110i
\(5\) 0.706575 0.706575i 0.315990 0.315990i −0.531235 0.847225i \(-0.678272\pi\)
0.847225 + 0.531235i \(0.178272\pi\)
\(6\) 2.44490 0.655110i 0.998127 0.267447i
\(7\) −0.0270244 + 0.515657i −0.0102143 + 0.194900i 0.988756 + 0.149536i \(0.0477780\pi\)
−0.998971 + 0.0453638i \(0.985555\pi\)
\(8\) −4.44807 + 8.72982i −1.57263 + 3.08646i
\(9\) −2.10581 0.447604i −0.701938 0.149201i
\(10\) −1.11770 + 2.51040i −0.353448 + 0.793858i
\(11\) −2.34166 + 3.60584i −0.706037 + 1.08720i 0.285626 + 0.958341i \(0.407798\pi\)
−0.991663 + 0.128860i \(0.958868\pi\)
\(12\) −4.14214 + 3.00944i −1.19573 + 0.868751i
\(13\) 3.13623 1.77878i 0.869833 0.493346i
\(14\) −0.438812 1.35052i −0.117277 0.360943i
\(15\) −0.714749 + 0.578792i −0.184547 + 0.149444i
\(16\) 1.65350 15.7320i 0.413375 3.93300i
\(17\) 6.78949 + 1.44315i 1.64669 + 0.350015i 0.935594 0.353077i \(-0.114865\pi\)
0.711099 + 0.703092i \(0.248198\pi\)
\(18\) 5.84757 0.926164i 1.37828 0.218299i
\(19\) −4.82154 3.90440i −1.10614 0.895731i −0.110959 0.993825i \(-0.535392\pi\)
−0.995177 + 0.0980937i \(0.968726\pi\)
\(20\) 0.290913 5.55094i 0.0650500 1.24123i
\(21\) 0.0743476 0.469412i 0.0162240 0.102434i
\(22\) 2.45829 11.5654i 0.524110 2.46574i
\(23\) 1.24986 1.38811i 0.260613 0.289440i −0.598611 0.801040i \(-0.704280\pi\)
0.859224 + 0.511600i \(0.170947\pi\)
\(24\) 4.91147 7.56300i 1.00255 1.54379i
\(25\) 4.00150i 0.800301i
\(26\) −6.29888 + 7.65767i −1.23531 + 1.50179i
\(27\) 4.51058 + 1.46558i 0.868062 + 0.282050i
\(28\) 1.80766 + 2.23228i 0.341616 + 0.421861i
\(29\) 0.533097 1.19736i 0.0989937 0.222343i −0.857259 0.514885i \(-0.827834\pi\)
0.956253 + 0.292542i \(0.0945011\pi\)
\(30\) 1.26462 2.19039i 0.230887 0.399909i
\(31\) 4.18520 + 3.67208i 0.751683 + 0.659524i
\(32\) 6.18748 + 23.0920i 1.09380 + 4.08212i
\(33\) 2.49037 3.07536i 0.433518 0.535351i
\(34\) −18.8535 + 2.98610i −3.23335 + 0.512113i
\(35\) 0.345255 + 0.383445i 0.0583588 + 0.0648140i
\(36\) −10.3714 + 5.98790i −1.72856 + 0.997984i
\(37\) 6.39514 + 1.71357i 1.05135 + 0.281710i 0.742811 0.669501i \(-0.233492\pi\)
0.308543 + 0.951210i \(0.400159\pi\)
\(38\) 16.2266 + 5.27236i 2.63231 + 0.855289i
\(39\) −3.04191 + 1.32650i −0.487096 + 0.212410i
\(40\) 3.02538 + 9.31116i 0.478355 + 1.47222i
\(41\) 1.75378 0.673211i 0.273894 0.105138i −0.217544 0.976050i \(-0.569805\pi\)
0.491438 + 0.870912i \(0.336471\pi\)
\(42\) 0.271740 + 1.27843i 0.0419303 + 0.197267i
\(43\) −0.891115 8.47839i −0.135894 1.29294i −0.823691 0.567039i \(-0.808089\pi\)
0.687797 0.725903i \(-0.258578\pi\)
\(44\) 3.74142 + 23.6224i 0.564040 + 3.56121i
\(45\) −1.80418 + 1.17165i −0.268951 + 0.174659i
\(46\) −1.84085 + 4.79558i −0.271418 + 0.707069i
\(47\) 1.42187 + 8.97736i 0.207402 + 1.30948i 0.843189 + 0.537618i \(0.180676\pi\)
−0.635787 + 0.771865i \(0.719324\pi\)
\(48\) −3.02710 + 14.2414i −0.436924 + 2.05556i
\(49\) 6.69648 + 0.703829i 0.956640 + 0.100547i
\(50\) −3.94359 10.2734i −0.557708 1.45288i
\(51\) −6.07599 1.97421i −0.850809 0.276445i
\(52\) 6.34394 19.0270i 0.879747 2.63858i
\(53\) −3.19588 + 1.03840i −0.438987 + 0.142636i −0.520168 0.854064i \(-0.674131\pi\)
0.0811810 + 0.996699i \(0.474131\pi\)
\(54\) −13.0248 + 0.682600i −1.77245 + 0.0928901i
\(55\) 0.893237 + 4.20235i 0.120444 + 0.566645i
\(56\) −4.38139 2.52959i −0.585487 0.338031i
\(57\) 4.03781 + 4.03781i 0.534821 + 0.534821i
\(58\) −0.188640 + 3.59946i −0.0247696 + 0.472632i
\(59\) 1.01429 + 0.389350i 0.132050 + 0.0506891i 0.423495 0.905898i \(-0.360803\pi\)
−0.291446 + 0.956587i \(0.594136\pi\)
\(60\) −0.800337 + 5.05313i −0.103323 + 0.652356i
\(61\) 6.99495 + 4.03854i 0.895612 + 0.517082i 0.875774 0.482721i \(-0.160352\pi\)
0.0198381 + 0.999803i \(0.493685\pi\)
\(62\) −14.3640 5.30301i −1.82422 0.673483i
\(63\) 0.287719 1.07378i 0.0362491 0.135284i
\(64\) −20.0475 27.5930i −2.50594 3.44913i
\(65\) 0.959137 3.47282i 0.118966 0.430751i
\(66\) −3.36291 + 10.3500i −0.413945 + 1.27399i
\(67\) 12.6703 + 3.39501i 1.54793 + 0.414766i 0.928817 0.370538i \(-0.120827\pi\)
0.619111 + 0.785304i \(0.287493\pi\)
\(68\) 33.4389 19.3060i 4.05507 2.34119i
\(69\) −1.27762 + 1.15037i −0.153807 + 0.138488i
\(70\) −1.26430 0.644193i −0.151113 0.0769957i
\(71\) 0.374442 0.243165i 0.0444380 0.0288584i −0.522229 0.852805i \(-0.674899\pi\)
0.566667 + 0.823947i \(0.308233\pi\)
\(72\) 13.2743 16.3924i 1.56439 1.93186i
\(73\) 2.99429 + 5.87662i 0.350455 + 0.687807i 0.997190 0.0749076i \(-0.0238662\pi\)
−0.646735 + 0.762714i \(0.723866\pi\)
\(74\) −18.1076 + 1.90318i −2.10496 + 0.221241i
\(75\) 0.384978 3.66282i 0.0444534 0.422946i
\(76\) −34.4648 + 1.80623i −3.95339 + 0.207188i
\(77\) −1.79609 1.30494i −0.204684 0.148711i
\(78\) 6.50248 6.40352i 0.736260 0.725056i
\(79\) −1.02824 + 0.334096i −0.115686 + 0.0375887i −0.366288 0.930502i \(-0.619372\pi\)
0.250602 + 0.968090i \(0.419372\pi\)
\(80\) −9.94751 12.2841i −1.11217 1.37341i
\(81\) 1.91239 + 0.851452i 0.212488 + 0.0946058i
\(82\) −3.83915 + 3.45679i −0.423964 + 0.381739i
\(83\) 5.65071 + 0.894985i 0.620246 + 0.0982374i 0.458646 0.888619i \(-0.348335\pi\)
0.161600 + 0.986856i \(0.448335\pi\)
\(84\) −1.43990 2.21725i −0.157106 0.241922i
\(85\) 5.81697 3.77759i 0.630939 0.409737i
\(86\) 10.6435 + 20.8891i 1.14772 + 2.25253i
\(87\) −0.603172 + 1.04472i −0.0646668 + 0.112006i
\(88\) −21.0625 36.4813i −2.24527 3.88892i
\(89\) 6.03617 9.29489i 0.639833 0.985256i −0.358822 0.933406i \(-0.616822\pi\)
0.998655 0.0518501i \(-0.0165118\pi\)
\(90\) 3.47734 4.78615i 0.366544 0.504504i
\(91\) 0.832487 + 1.66529i 0.0872683 + 0.174570i
\(92\) 10.3905i 1.08329i
\(93\) −3.47768 3.76392i −0.360619 0.390301i
\(94\) −12.4979 21.6471i −1.28906 2.23272i
\(95\) −6.16553 + 0.648023i −0.632570 + 0.0664857i
\(96\) −3.44213 21.7328i −0.351311 2.21809i
\(97\) 1.06553 + 0.0558421i 0.108188 + 0.00566990i 0.106353 0.994328i \(-0.466083\pi\)
0.00183497 + 0.999998i \(0.499416\pi\)
\(98\) −17.8861 + 4.79257i −1.80677 + 0.484123i
\(99\) 6.54508 6.54508i 0.657806 0.657806i
\(100\) 14.8944 + 16.5419i 1.48944 + 1.65419i
\(101\) 3.84554 + 3.46254i 0.382646 + 0.344536i 0.837898 0.545827i \(-0.183784\pi\)
−0.455252 + 0.890363i \(0.650451\pi\)
\(102\) 17.5451 0.919498i 1.73722 0.0910438i
\(103\) −4.29571 5.91254i −0.423269 0.582580i 0.543123 0.839653i \(-0.317242\pi\)
−0.966392 + 0.257073i \(0.917242\pi\)
\(104\) 1.57831 + 35.2909i 0.154766 + 3.46055i
\(105\) −0.279142 0.384207i −0.0272415 0.0374947i
\(106\) 7.18168 5.81561i 0.697546 0.564862i
\(107\) −7.08894 + 7.87307i −0.685314 + 0.761118i −0.980966 0.194177i \(-0.937796\pi\)
0.295653 + 0.955296i \(0.404463\pi\)
\(108\) 24.1016 10.7307i 2.31918 1.03256i
\(109\) −18.1671 + 2.87738i −1.74009 + 0.275603i −0.944089 0.329691i \(-0.893055\pi\)
−0.796002 + 0.605294i \(0.793055\pi\)
\(110\) −6.43482 9.90875i −0.613536 0.944762i
\(111\) −5.68900 2.18380i −0.539976 0.207277i
\(112\) 8.06762 + 1.27779i 0.762319 + 0.120739i
\(113\) −4.40370 4.89081i −0.414266 0.460089i 0.499510 0.866308i \(-0.333513\pi\)
−0.913775 + 0.406220i \(0.866847\pi\)
\(114\) −14.3460 6.38725i −1.34363 0.598221i
\(115\) −0.0976838 1.86392i −0.00910906 0.173811i
\(116\) −2.25302 6.93408i −0.209188 0.643813i
\(117\) −7.40050 + 2.34200i −0.684177 + 0.216518i
\(118\) −2.98780 −0.275049
\(119\) −0.927652 + 3.46205i −0.0850377 + 0.317365i
\(120\) −1.87350 8.81414i −0.171027 0.804617i
\(121\) −3.04460 6.83828i −0.276782 0.621662i
\(122\) −21.9389 3.47477i −1.98625 0.314591i
\(123\) −1.67011 + 0.447504i −0.150588 + 0.0403500i
\(124\) 30.9695 0.398065i 2.78114 0.0357473i
\(125\) 6.36023 + 6.36023i 0.568877 + 0.568877i
\(126\) 0.319555 + 3.04037i 0.0284682 + 0.270857i
\(127\) −0.696715 + 6.62880i −0.0618235 + 0.588211i 0.919128 + 0.393959i \(0.128895\pi\)
−0.980952 + 0.194252i \(0.937772\pi\)
\(128\) 38.5639 + 25.0437i 3.40860 + 2.21357i
\(129\) 7.84652i 0.690847i
\(130\) 0.960088 + 9.86134i 0.0842052 + 0.864897i
\(131\) 3.84929 11.8469i 0.336314 1.03507i −0.629757 0.776792i \(-0.716845\pi\)
0.966071 0.258277i \(-0.0831546\pi\)
\(132\) −1.15208 21.9830i −0.100276 1.91337i
\(133\) 2.14363 2.38074i 0.185876 0.206437i
\(134\) −35.8755 + 3.77067i −3.09918 + 0.325736i
\(135\) 4.22260 2.15152i 0.363424 0.185174i
\(136\) −42.7986 + 52.8518i −3.66995 + 4.53201i
\(137\) 0.656035 1.70903i 0.0560489 0.146012i −0.902697 0.430277i \(-0.858416\pi\)
0.958746 + 0.284264i \(0.0917493\pi\)
\(138\) 2.14642 4.21258i 0.182715 0.358598i
\(139\) 3.93455 + 8.83714i 0.333724 + 0.749556i 0.999993 + 0.00384442i \(0.00122372\pi\)
−0.666269 + 0.745712i \(0.732110\pi\)
\(140\) 2.85452 + 0.300022i 0.241251 + 0.0253565i
\(141\) −0.437831 8.35432i −0.0368720 0.703561i
\(142\) −0.721691 + 0.993322i −0.0605629 + 0.0833577i
\(143\) −0.929973 + 15.4740i −0.0777683 + 1.29400i
\(144\) −10.5237 + 32.3885i −0.876973 + 2.69904i
\(145\) −0.469348 1.22269i −0.0389773 0.101539i
\(146\) −13.4791 12.1366i −1.11554 1.00443i
\(147\) −6.06198 1.28851i −0.499984 0.106275i
\(148\) 32.8153 16.7202i 2.69740 1.37439i
\(149\) −3.60746 13.4632i −0.295535 1.10295i −0.940792 0.338985i \(-0.889916\pi\)
0.645257 0.763965i \(-0.276750\pi\)
\(150\) 2.62142 + 9.78329i 0.214038 + 0.798802i
\(151\) −4.79218 9.40518i −0.389982 0.765383i 0.609645 0.792674i \(-0.291312\pi\)
−0.999628 + 0.0272913i \(0.991312\pi\)
\(152\) 55.5313 24.7241i 4.50418 2.00539i
\(153\) −13.6514 6.07801i −1.10365 0.491378i
\(154\) 5.89732 + 1.58018i 0.475219 + 0.127335i
\(155\) 5.55175 0.362558i 0.445927 0.0291214i
\(156\) −7.63756 + 16.8063i −0.611494 + 1.34558i
\(157\) 13.2783 9.64724i 1.05972 0.769933i 0.0856853 0.996322i \(-0.472692\pi\)
0.974037 + 0.226389i \(0.0726920\pi\)
\(158\) 2.31063 1.87111i 0.183824 0.148858i
\(159\) 3.02528 0.643044i 0.239921 0.0509967i
\(160\) 20.6881 + 11.9443i 1.63554 + 0.944279i
\(161\) 0.682010 + 0.682010i 0.0537499 + 0.0537499i
\(162\) −5.74899 0.301292i −0.451683 0.0236717i
\(163\) 5.96366 + 9.18323i 0.467110 + 0.719286i 0.991199 0.132377i \(-0.0422609\pi\)
−0.524090 + 0.851663i \(0.675594\pi\)
\(164\) 4.74415 9.31092i 0.370456 0.727060i
\(165\) −0.413333 3.93260i −0.0321779 0.306153i
\(166\) −15.3896 + 3.27116i −1.19447 + 0.253891i
\(167\) −8.06295 + 3.09508i −0.623930 + 0.239504i −0.649733 0.760163i \(-0.725119\pi\)
0.0258029 + 0.999667i \(0.491786\pi\)
\(168\) 3.76718 + 2.73702i 0.290644 + 0.211165i
\(169\) 6.67186 11.1573i 0.513220 0.858257i
\(170\) −11.2115 + 15.4313i −0.859884 + 1.18353i
\(171\) 8.40563 + 10.3801i 0.642794 + 0.793785i
\(172\) −35.2421 31.7321i −2.68718 2.41955i
\(173\) 2.49028 + 5.59327i 0.189333 + 0.425249i 0.983124 0.182942i \(-0.0585622\pi\)
−0.793791 + 0.608191i \(0.791896\pi\)
\(174\) 0.518971 3.27666i 0.0393431 0.248403i
\(175\) −2.06340 0.108138i −0.155979 0.00817449i
\(176\) 52.8551 + 42.8012i 3.98410 + 3.22626i
\(177\) −0.890984 0.453979i −0.0669705 0.0341232i
\(178\) −6.33682 + 29.8124i −0.474965 + 2.23453i
\(179\) −7.46603 + 1.58695i −0.558037 + 0.118614i −0.478292 0.878201i \(-0.658744\pi\)
−0.0797450 + 0.996815i \(0.525411\pi\)
\(180\) −3.09723 + 11.5590i −0.230854 + 0.861559i
\(181\) 4.44979 0.330750 0.165375 0.986231i \(-0.447117\pi\)
0.165375 + 0.986231i \(0.447117\pi\)
\(182\) −3.77850 3.45500i −0.280081 0.256102i
\(183\) −6.01437 4.36969i −0.444595 0.323017i
\(184\) 6.55848 + 17.0854i 0.483497 + 1.25955i
\(185\) 5.72941 3.30788i 0.421235 0.243200i
\(186\) 12.6380 + 6.23610i 0.926664 + 0.457253i
\(187\) −21.1024 + 21.1024i −1.54316 + 1.54316i
\(188\) 39.2935 + 31.8192i 2.86577 + 2.32066i
\(189\) −0.877630 + 2.28631i −0.0638382 + 0.166304i
\(190\) 15.1907 7.74002i 1.10205 0.561520i
\(191\) −2.14463 + 3.71460i −0.155180 + 0.268779i −0.933124 0.359554i \(-0.882929\pi\)
0.777945 + 0.628333i \(0.216262\pi\)
\(192\) 15.6960 + 27.1863i 1.13276 + 1.96200i
\(193\) 8.27620 + 5.37463i 0.595734 + 0.386874i 0.806997 0.590555i \(-0.201091\pi\)
−0.211264 + 0.977429i \(0.567758\pi\)
\(194\) −2.79066 + 0.906741i −0.200358 + 0.0651002i
\(195\) −1.21207 + 3.08661i −0.0867982 + 0.221037i
\(196\) 30.3026 22.0161i 2.16447 1.57258i
\(197\) −22.4973 14.6099i −1.60286 1.04091i −0.961922 0.273324i \(-0.911877\pi\)
−0.640943 0.767589i \(-0.721456\pi\)
\(198\) −10.3534 + 23.2541i −0.735785 + 1.65260i
\(199\) −14.7275 + 6.55710i −1.04400 + 0.464820i −0.855798 0.517309i \(-0.826934\pi\)
−0.188205 + 0.982130i \(0.560267\pi\)
\(200\) −34.9324 17.7990i −2.47010 1.25858i
\(201\) −11.2713 4.32665i −0.795017 0.305178i
\(202\) −13.2854 5.09980i −0.934760 0.358821i
\(203\) 0.603018 + 0.307253i 0.0423236 + 0.0215649i
\(204\) −32.4661 + 14.4548i −2.27308 + 1.01204i
\(205\) 0.763499 1.71485i 0.0533251 0.119770i
\(206\) 16.8557 + 10.9462i 1.17439 + 0.762660i
\(207\) −3.25329 + 2.36365i −0.226119 + 0.164285i
\(208\) −22.7981 52.2804i −1.58076 3.62499i
\(209\) 25.3690 8.24290i 1.75481 0.570173i
\(210\) 1.09531 + 0.711305i 0.0755838 + 0.0490847i
\(211\) −7.86813 13.6280i −0.541665 0.938190i −0.998809 0.0487979i \(-0.984461\pi\)
0.457144 0.889393i \(-0.348872\pi\)
\(212\) −9.34637 + 16.1884i −0.641911 + 1.11182i
\(213\) −0.366144 + 0.186560i −0.0250878 + 0.0127829i
\(214\) 10.4409 27.1996i 0.713728 1.85932i
\(215\) −6.62025 5.36098i −0.451498 0.365615i
\(216\) −32.8576 + 32.8576i −2.23568 + 2.23568i
\(217\) −2.00663 + 2.05889i −0.136219 + 0.139766i
\(218\) 43.8062 25.2915i 2.96693 1.71296i
\(219\) −2.17548 5.66731i −0.147005 0.382961i
\(220\) 19.3346 + 14.0474i 1.30354 + 0.947075i
\(221\) 23.8604 7.55098i 1.60503 0.507934i
\(222\) 16.7581 1.12473
\(223\) −5.83711 + 21.7844i −0.390882 + 1.45879i 0.437800 + 0.899072i \(0.355758\pi\)
−0.828682 + 0.559719i \(0.810909\pi\)
\(224\) −12.0747 + 2.56657i −0.806778 + 0.171486i
\(225\) 1.79109 8.42642i 0.119406 0.561761i
\(226\) 16.1260 + 8.21663i 1.07269 + 0.546562i
\(227\) −16.0775 13.0193i −1.06710 0.864121i −0.0759828 0.997109i \(-0.524209\pi\)
−0.991118 + 0.132988i \(0.957543\pi\)
\(228\) 31.7215 + 1.66246i 2.10081 + 0.110099i
\(229\) 1.37523 8.68289i 0.0908780 0.573781i −0.899665 0.436580i \(-0.856189\pi\)
0.990543 0.137201i \(-0.0438106\pi\)
\(230\) 2.08773 + 4.68913i 0.137661 + 0.309192i
\(231\) 1.51853 + 1.36729i 0.0999117 + 0.0899609i
\(232\) 8.08146 + 9.97977i 0.530574 + 0.655204i
\(233\) 5.72722 7.88284i 0.375203 0.516422i −0.579103 0.815254i \(-0.696597\pi\)
0.954306 + 0.298832i \(0.0965971\pi\)
\(234\) 16.6919 13.3062i 1.09118 0.869854i
\(235\) 7.34783 + 5.33851i 0.479320 + 0.348246i
\(236\) 5.64225 2.16586i 0.367279 0.140985i
\(237\) 0.973355 0.206893i 0.0632262 0.0134391i
\(238\) −1.03030 9.80264i −0.0667844 0.635411i
\(239\) 4.76356 9.34902i 0.308129 0.604738i −0.684068 0.729419i \(-0.739791\pi\)
0.992197 + 0.124681i \(0.0397907\pi\)
\(240\) 7.92372 + 12.2015i 0.511474 + 0.787601i
\(241\) −16.6153 0.870771i −1.07029 0.0560913i −0.490956 0.871184i \(-0.663352\pi\)
−0.579330 + 0.815093i \(0.696686\pi\)
\(242\) 14.5560 + 14.5560i 0.935694 + 0.935694i
\(243\) −13.9905 8.07743i −0.897493 0.518168i
\(244\) 43.9489 9.34162i 2.81354 0.598036i
\(245\) 5.22887 4.23426i 0.334060 0.270517i
\(246\) 3.84678 2.79485i 0.245262 0.178193i
\(247\) −22.0665 3.66863i −1.40406 0.233430i
\(248\) −50.6726 + 20.2024i −3.21771 + 1.28285i
\(249\) −5.08634 1.36288i −0.322333 0.0863690i
\(250\) −22.5974 10.0610i −1.42918 0.636314i
\(251\) −0.515069 + 0.229324i −0.0325109 + 0.0144748i −0.422928 0.906163i \(-0.638998\pi\)
0.390417 + 0.920638i \(0.372331\pi\)
\(252\) −2.80742 5.50988i −0.176851 0.347090i
\(253\) 2.07855 + 7.75725i 0.130677 + 0.487694i
\(254\) −4.74413 17.7053i −0.297673 1.11093i
\(255\) −5.68807 + 2.89821i −0.356200 + 0.181493i
\(256\) −56.9668 12.1087i −3.56042 0.756791i
\(257\) 6.45787 + 5.81469i 0.402831 + 0.362711i 0.845501 0.533974i \(-0.179302\pi\)
−0.442670 + 0.896685i \(0.645969\pi\)
\(258\) −7.73296 20.1451i −0.481433 1.25418i
\(259\) −1.05644 + 3.25139i −0.0656440 + 0.202031i
\(260\) −8.96155 17.9265i −0.555772 1.11175i
\(261\) −1.65855 + 2.28279i −0.102661 + 0.141301i
\(262\) 1.79283 + 34.2092i 0.110761 + 2.11345i
\(263\) 24.8124 + 2.60789i 1.53000 + 0.160809i 0.831792 0.555087i \(-0.187315\pi\)
0.698207 + 0.715896i \(0.253982\pi\)
\(264\) 15.7700 + 35.4199i 0.970574 + 2.17995i
\(265\) −1.52442 + 2.99183i −0.0936441 + 0.183787i
\(266\) −3.15724 + 8.22490i −0.193583 + 0.504301i
\(267\) −6.41952 + 7.92745i −0.392868 + 0.485152i
\(268\) 65.0151 33.1269i 3.97143 2.02355i
\(269\) −14.8368 + 1.55941i −0.904613 + 0.0950786i −0.545399 0.838177i \(-0.683622\pi\)
−0.359214 + 0.933255i \(0.616955\pi\)
\(270\) −8.72067 + 9.68529i −0.530723 + 0.589428i
\(271\) 0.234315 + 4.47100i 0.0142336 + 0.271594i 0.996470 + 0.0839472i \(0.0267527\pi\)
−0.982237 + 0.187647i \(0.939914\pi\)
\(272\) 33.9301 104.426i 2.05731 6.33175i
\(273\) −0.601811 1.60443i −0.0364233 0.0971046i
\(274\) 5.03429i 0.304132i
\(275\) −14.4288 9.37016i −0.870088 0.565042i
\(276\) −0.999657 + 9.51110i −0.0601723 + 0.572501i
\(277\) 1.64067 + 15.6099i 0.0985783 + 0.937910i 0.926304 + 0.376777i \(0.122968\pi\)
−0.827726 + 0.561133i \(0.810366\pi\)
\(278\) −18.8108 18.8108i −1.12819 1.12819i
\(279\) −7.16960 9.60602i −0.429233 0.575097i
\(280\) −4.88312 + 1.30843i −0.291822 + 0.0781936i
\(281\) −30.7034 4.86294i −1.83161 0.290099i −0.857218 0.514954i \(-0.827809\pi\)
−0.974392 + 0.224855i \(0.927809\pi\)
\(282\) 9.35750 + 21.0173i 0.557231 + 1.25156i
\(283\) 3.39053 + 15.9512i 0.201546 + 0.948201i 0.956344 + 0.292243i \(0.0944016\pi\)
−0.754798 + 0.655958i \(0.772265\pi\)
\(284\) 0.642803 2.39898i 0.0381434 0.142353i
\(285\) 5.70603 0.337996
\(286\) −12.8625 40.6444i −0.760575 2.40335i
\(287\) 0.299751 + 0.922539i 0.0176938 + 0.0544558i
\(288\) −2.69360 51.3969i −0.158722 3.02859i
\(289\) 28.4842 + 12.6820i 1.67554 + 0.745999i
\(290\) 2.41000 + 2.67657i 0.141520 + 0.157174i
\(291\) −0.969972 0.153628i −0.0568608 0.00900586i
\(292\) 34.2522 + 13.1482i 2.00446 + 0.769439i
\(293\) 1.62916 + 2.50868i 0.0951764 + 0.146559i 0.883051 0.469277i \(-0.155485\pi\)
−0.787875 + 0.615835i \(0.788819\pi\)
\(294\) 16.8333 2.66614i 0.981740 0.155492i
\(295\) 0.991778 0.441568i 0.0577435 0.0257091i
\(296\) −43.4052 + 48.2064i −2.52288 + 2.80194i
\(297\) −15.8469 + 12.8325i −0.919529 + 0.744620i
\(298\) 22.5301 + 31.0101i 1.30514 + 1.79636i
\(299\) 1.45070 6.57664i 0.0838959 0.380337i
\(300\) −12.0423 16.5748i −0.695262 0.956946i
\(301\) 4.39602 0.230386i 0.253382 0.0132792i
\(302\) 21.5725 + 19.4239i 1.24136 + 1.11772i
\(303\) −3.18694 3.53945i −0.183085 0.203336i
\(304\) −69.3964 + 69.3964i −3.98016 + 3.98016i
\(305\) 7.79599 2.08893i 0.446397 0.119612i
\(306\) 41.0386 + 2.15074i 2.34602 + 0.122950i
\(307\) −0.107682 0.679879i −0.00614575 0.0388027i 0.984425 0.175806i \(-0.0562530\pi\)
−0.990571 + 0.137003i \(0.956253\pi\)
\(308\) −12.2822 + 1.29091i −0.699841 + 0.0735562i
\(309\) 3.36329 + 5.82539i 0.191331 + 0.331395i
\(310\) −13.8962 + 6.40223i −0.789250 + 0.363622i
\(311\) 9.64048i 0.546661i 0.961920 + 0.273331i \(0.0881253\pi\)
−0.961920 + 0.273331i \(0.911875\pi\)
\(312\) 1.95056 32.4557i 0.110428 1.83744i
\(313\) −1.70441 + 2.34593i −0.0963392 + 0.132600i −0.854465 0.519508i \(-0.826115\pi\)
0.758126 + 0.652108i \(0.226115\pi\)
\(314\) −24.5829 + 37.8543i −1.38729 + 2.13624i
\(315\) −0.555411 0.962001i −0.0312939 0.0542026i
\(316\) −3.00710 + 5.20845i −0.169163 + 0.292998i
\(317\) 4.24038 + 8.32221i 0.238163 + 0.467422i 0.978891 0.204384i \(-0.0655190\pi\)
−0.740727 + 0.671806i \(0.765519\pi\)
\(318\) −7.13334 + 4.63244i −0.400018 + 0.259775i
\(319\) 3.06914 + 4.72606i 0.171839 + 0.264609i
\(320\) −33.6616 5.33147i −1.88174 0.298038i
\(321\) 7.24639 6.52468i 0.404454 0.364172i
\(322\) −2.42312 1.07884i −0.135035 0.0601216i
\(323\) −27.1011 33.4671i −1.50795 1.86216i
\(324\) 11.0750 3.59848i 0.615276 0.199915i
\(325\) 7.11781 + 12.5496i 0.394825 + 0.696128i
\(326\) −24.3614 17.6996i −1.34925 0.980288i
\(327\) 16.9063 0.886020i 0.934918 0.0489970i
\(328\) −1.92390 + 18.3046i −0.106229 + 1.01070i
\(329\) −4.66766 + 0.490591i −0.257336 + 0.0270471i
\(330\) 4.93688 + 9.68917i 0.271766 + 0.533371i
\(331\) 13.3509 16.4870i 0.733830 0.906205i −0.264475 0.964392i \(-0.585199\pi\)
0.998306 + 0.0581875i \(0.0185321\pi\)
\(332\) 26.6909 17.3333i 1.46486 0.951289i
\(333\) −12.7000 6.47096i −0.695954 0.354606i
\(334\) 17.6504 15.8925i 0.965789 0.869600i
\(335\) 11.3514 6.55371i 0.620191 0.358068i
\(336\) −7.26185 1.94581i −0.396167 0.106153i
\(337\) −5.84804 + 17.9984i −0.318563 + 0.980436i 0.655700 + 0.755022i \(0.272374\pi\)
−0.974263 + 0.225415i \(0.927626\pi\)
\(338\) −6.13339 + 35.2205i −0.333612 + 1.91574i
\(339\) 3.56044 + 4.90053i 0.193377 + 0.266160i
\(340\) 9.98599 37.2682i 0.541566 2.02115i
\(341\) −23.0412 + 6.49239i −1.24775 + 0.351583i
\(342\) −31.8104 18.3657i −1.72011 0.993104i
\(343\) −1.10934 + 7.00411i −0.0598989 + 0.378187i
\(344\) 77.9786 + 29.9332i 4.20432 + 1.61389i
\(345\) −0.0899084 + 1.71556i −0.00484051 + 0.0923624i
\(346\) −11.9059 11.9059i −0.640063 0.640063i
\(347\) −7.42942 4.28938i −0.398832 0.230266i 0.287148 0.957886i \(-0.407293\pi\)
−0.685980 + 0.727620i \(0.740626\pi\)
\(348\) 1.39521 + 6.56394i 0.0747911 + 0.351864i
\(349\) 31.8940 1.67149i 1.70724 0.0894729i 0.826462 0.562993i \(-0.190350\pi\)
0.880783 + 0.473520i \(0.157017\pi\)
\(350\) 5.40413 1.75591i 0.288863 0.0938572i
\(351\) 16.7532 3.42696i 0.894217 0.182918i
\(352\) −97.7549 31.7625i −5.21035 1.69295i
\(353\) −2.19799 5.72597i −0.116987 0.304763i 0.862567 0.505943i \(-0.168856\pi\)
−0.979554 + 0.201181i \(0.935522\pi\)
\(354\) 2.73491 + 0.287451i 0.145359 + 0.0152778i
\(355\) 0.0927566 0.436385i 0.00492301 0.0231609i
\(356\) −9.64438 60.8922i −0.511151 3.22728i
\(357\) 1.18221 3.07977i 0.0625694 0.162999i
\(358\) 17.6042 11.4323i 0.930411 0.604216i
\(359\) 0.876977 + 5.53702i 0.0462851 + 0.292233i 0.999963 0.00859691i \(-0.00273651\pi\)
−0.953678 + 0.300829i \(0.902737\pi\)
\(360\) −2.20317 20.9617i −0.116117 1.10478i
\(361\) 4.05252 + 19.0656i 0.213291 + 1.00345i
\(362\) −11.4243 + 4.38539i −0.600450 + 0.230491i
\(363\) 2.12901 + 6.55241i 0.111744 + 0.343912i
\(364\) 9.63998 + 3.78549i 0.505272 + 0.198414i
\(365\) 6.26796 + 2.03658i 0.328080 + 0.106600i
\(366\) 19.7477 + 5.29137i 1.03223 + 0.276584i
\(367\) 5.26511 3.03981i 0.274836 0.158677i −0.356247 0.934392i \(-0.615944\pi\)
0.631084 + 0.775715i \(0.282611\pi\)
\(368\) −19.7710 21.9580i −1.03064 1.14464i
\(369\) −3.99446 + 0.632660i −0.207943 + 0.0329350i
\(370\) −11.4496 + 14.1391i −0.595237 + 0.735057i
\(371\) −0.449093 1.67604i −0.0233157 0.0870155i
\(372\) −28.3866 2.61515i −1.47177 0.135589i
\(373\) 16.5935 28.7408i 0.859180 1.48814i −0.0135331 0.999908i \(-0.504308\pi\)
0.872713 0.488234i \(-0.162359\pi\)
\(374\) 33.3811 74.9752i 1.72610 3.87687i
\(375\) −5.21000 6.43382i −0.269043 0.332241i
\(376\) −84.6954 27.5192i −4.36783 1.41919i
\(377\) −0.457922 4.70345i −0.0235842 0.242240i
\(378\) 6.73476i 0.346399i
\(379\) 5.15058 7.93120i 0.264567 0.407398i −0.681273 0.732029i \(-0.738573\pi\)
0.945841 + 0.324631i \(0.105240\pi\)
\(380\) −23.0758 + 25.6282i −1.18376 + 1.31470i
\(381\) 1.27549 6.00072i 0.0653454 0.307426i
\(382\) 1.84524 11.6504i 0.0944108 0.596087i
\(383\) 1.17579 22.4355i 0.0600803 1.14640i −0.787702 0.616056i \(-0.788729\pi\)
0.847782 0.530344i \(-0.177937\pi\)
\(384\) −32.8905 26.6342i −1.67844 1.35917i
\(385\) −2.19111 + 0.347038i −0.111669 + 0.0176867i
\(386\) −26.5451 5.64233i −1.35111 0.287187i
\(387\) −1.91844 + 18.2528i −0.0975200 + 0.927841i
\(388\) 4.61268 3.73527i 0.234173 0.189630i
\(389\) −0.559725 1.72266i −0.0283792 0.0873422i 0.935864 0.352362i \(-0.114621\pi\)
−0.964243 + 0.265020i \(0.914621\pi\)
\(390\) 0.0699161 9.11905i 0.00354034 0.461761i
\(391\) 10.4891 7.62080i 0.530458 0.385401i
\(392\) −35.9307 + 55.3284i −1.81477 + 2.79451i
\(393\) −4.66326 + 10.4739i −0.235231 + 0.528336i
\(394\) 72.1577 + 15.3376i 3.63525 + 0.772697i
\(395\) −0.490466 + 0.962593i −0.0246780 + 0.0484333i
\(396\) 2.69476 51.4190i 0.135417 2.58390i
\(397\) −0.675196 + 0.180918i −0.0338871 + 0.00908002i −0.275723 0.961237i \(-0.588917\pi\)
0.241836 + 0.970317i \(0.422251\pi\)
\(398\) 31.3490 31.3490i 1.57138 1.57138i
\(399\) −2.19124 + 1.97300i −0.109699 + 0.0987737i
\(400\) 62.9517 + 6.61649i 3.14758 + 0.330824i
\(401\) −15.8274 + 6.07556i −0.790382 + 0.303399i −0.719867 0.694112i \(-0.755797\pi\)
−0.0705143 + 0.997511i \(0.522464\pi\)
\(402\) 33.2018 1.65596
\(403\) 19.6576 + 4.07191i 0.979213 + 0.202836i
\(404\) 28.7855 1.43213
\(405\) 1.95286 0.749634i 0.0970385 0.0372496i
\(406\) −1.85099 0.194547i −0.0918630 0.00965519i
\(407\) −21.1541 + 19.0472i −1.04857 + 0.944137i
\(408\) 44.2609 44.2609i 2.19124 2.19124i
\(409\) −7.35305 + 1.97024i −0.363585 + 0.0974223i −0.435986 0.899953i \(-0.643600\pi\)
0.0724015 + 0.997376i \(0.476934\pi\)
\(410\) −0.270169 + 5.15513i −0.0133427 + 0.254594i
\(411\) −0.764932 + 1.50126i −0.0377313 + 0.0740519i
\(412\) −39.7658 8.45249i −1.95912 0.416424i
\(413\) −0.228182 + 0.512504i −0.0112281 + 0.0252187i
\(414\) 6.02301 9.27462i 0.296015 0.455822i
\(415\) 4.62502 3.36028i 0.227033 0.164949i
\(416\) 60.4810 + 61.4155i 2.96532 + 3.01114i
\(417\) −2.75132 8.46771i −0.134733 0.414665i
\(418\) −57.0085 + 46.1646i −2.78838 + 2.25798i
\(419\) −0.128414 + 1.22178i −0.00627345 + 0.0596879i −0.997211 0.0746374i \(-0.976220\pi\)
0.990937 + 0.134325i \(0.0428867\pi\)
\(420\) −2.58405 0.549257i −0.126089 0.0268010i
\(421\) −25.5869 + 4.05257i −1.24703 + 0.197510i −0.744838 0.667245i \(-0.767473\pi\)
−0.502193 + 0.864756i \(0.667473\pi\)
\(422\) 33.6313 + 27.2341i 1.63715 + 1.32574i
\(423\) 1.02410 19.5411i 0.0497937 0.950120i
\(424\) 5.15040 32.5183i 0.250125 1.57923i
\(425\) −5.77477 + 27.1682i −0.280118 + 1.31785i
\(426\) 0.756173 0.839816i 0.0366367 0.0406892i
\(427\) −2.27153 + 3.49786i −0.109927 + 0.169273i
\(428\) 58.9332i 2.84864i
\(429\) 2.33999 14.0749i 0.112976 0.679540i
\(430\) 22.2801 + 7.23926i 1.07444 + 0.349108i
\(431\) 10.6490 + 13.1504i 0.512944 + 0.633434i 0.966153 0.257971i \(-0.0830539\pi\)
−0.453208 + 0.891405i \(0.649721\pi\)
\(432\) 30.5147 68.5371i 1.46814 3.29749i
\(433\) −13.1328 + 22.7467i −0.631122 + 1.09314i 0.356201 + 0.934409i \(0.384072\pi\)
−0.987323 + 0.158726i \(0.949261\pi\)
\(434\) 3.12271 7.26356i 0.149895 0.348662i
\(435\) 0.311990 + 1.16436i 0.0149588 + 0.0558269i
\(436\) −64.3912 + 79.5165i −3.08378 + 3.80815i
\(437\) −11.4460 + 1.81286i −0.547534 + 0.0867209i
\(438\) 11.1706 + 12.4062i 0.533751 + 0.592790i
\(439\) 5.17406 2.98725i 0.246944 0.142573i −0.371420 0.928465i \(-0.621129\pi\)
0.618364 + 0.785892i \(0.287796\pi\)
\(440\) −40.6590 10.8945i −1.93834 0.519376i
\(441\) −13.7865 4.47951i −0.656500 0.213310i
\(442\) −53.8173 + 42.9014i −2.55983 + 2.04061i
\(443\) 3.70898 + 11.4151i 0.176219 + 0.542346i 0.999687 0.0250166i \(-0.00796387\pi\)
−0.823468 + 0.567362i \(0.807964\pi\)
\(444\) −31.6465 + 12.1479i −1.50188 + 0.576516i
\(445\) −2.30253 10.8325i −0.109150 0.513511i
\(446\) −6.48300 61.6817i −0.306979 2.92071i
\(447\) 2.00685 + 12.6708i 0.0949209 + 0.599307i
\(448\) 14.7703 9.59194i 0.697831 0.453177i
\(449\) 11.7296 30.5567i 0.553555 1.44206i −0.316256 0.948674i \(-0.602426\pi\)
0.869811 0.493385i \(-0.164241\pi\)
\(450\) 3.70605 + 23.3991i 0.174705 + 1.10304i
\(451\) −1.67925 + 7.90026i −0.0790729 + 0.372009i
\(452\) −36.4092 3.82676i −1.71254 0.179996i
\(453\) 3.48172 + 9.07018i 0.163585 + 0.426154i
\(454\) 54.1080 + 17.5808i 2.53942 + 0.825106i
\(455\) 1.76486 + 0.588436i 0.0827381 + 0.0275863i
\(456\) −53.2098 + 17.2889i −2.49178 + 0.809628i
\(457\) 6.97578 0.365585i 0.326313 0.0171013i 0.111524 0.993762i \(-0.464427\pi\)
0.214789 + 0.976660i \(0.431094\pi\)
\(458\) 5.02647 + 23.6477i 0.234871 + 1.10498i
\(459\) 28.5095 + 16.4600i 1.33071 + 0.768285i
\(460\) −7.34170 7.34170i −0.342308 0.342308i
\(461\) −0.477488 + 9.11101i −0.0222388 + 0.424342i 0.964711 + 0.263312i \(0.0848149\pi\)
−0.986950 + 0.161030i \(0.948518\pi\)
\(462\) −5.24615 2.01381i −0.244073 0.0936908i
\(463\) −4.34086 + 27.4071i −0.201737 + 1.27372i 0.654076 + 0.756429i \(0.273058\pi\)
−0.855812 + 0.517286i \(0.826942\pi\)
\(464\) −17.9553 10.3665i −0.833555 0.481253i
\(465\) −5.11673 0.202253i −0.237283 0.00937924i
\(466\) −6.93523 + 25.8826i −0.321269 + 1.19899i
\(467\) 6.78901 + 9.34427i 0.314158 + 0.432401i 0.936672 0.350207i \(-0.113889\pi\)
−0.622514 + 0.782608i \(0.713889\pi\)
\(468\) −21.8758 + 37.2278i −1.01121 + 1.72086i
\(469\) −2.09307 + 6.44180i −0.0966488 + 0.297455i
\(470\) −24.1260 6.46454i −1.11285 0.298187i
\(471\) −13.0826 + 7.55322i −0.602813 + 0.348034i
\(472\) −7.91060 + 7.12273i −0.364115 + 0.327850i
\(473\) 32.6584 + 16.6403i 1.50163 + 0.765121i
\(474\) −2.29508 + 1.49044i −0.105417 + 0.0684583i
\(475\) 15.6235 19.2934i 0.716855 0.885242i
\(476\) 9.05159 + 17.7647i 0.414879 + 0.814246i
\(477\) 7.19471 0.756195i 0.329423 0.0346238i
\(478\) −3.01620 + 28.6972i −0.137958 + 1.31258i
\(479\) 13.3252 0.698344i 0.608844 0.0319082i 0.254577 0.967052i \(-0.418064\pi\)
0.354267 + 0.935144i \(0.384730\pi\)
\(480\) −17.7880 12.9237i −0.811905 0.589884i
\(481\) 23.1047 6.00141i 1.05348 0.273641i
\(482\) 43.5161 14.1392i 1.98210 0.644025i
\(483\) −0.558670 0.689900i −0.0254204 0.0313915i
\(484\) −38.0396 16.9363i −1.72907 0.769833i
\(485\) 0.792333 0.713420i 0.0359780 0.0323947i
\(486\) 43.8796 + 6.94985i 1.99042 + 0.315252i
\(487\) −18.0755 27.8338i −0.819077 1.26127i −0.962412 0.271594i \(-0.912449\pi\)
0.143334 0.989674i \(-0.454218\pi\)
\(488\) −66.3698 + 43.1010i −3.00442 + 1.95109i
\(489\) −4.57540 8.97972i −0.206907 0.406077i
\(490\) −9.25156 + 16.0242i −0.417943 + 0.723899i
\(491\) 7.64838 + 13.2474i 0.345166 + 0.597846i 0.985384 0.170348i \(-0.0544891\pi\)
−0.640218 + 0.768194i \(0.721156\pi\)
\(492\) −5.23840 + 8.06642i −0.236165 + 0.363662i
\(493\) 5.34742 7.36010i 0.240836 0.331482i
\(494\) 60.2689 12.3284i 2.71162 0.554679i
\(495\) 9.24918i 0.415720i
\(496\) 64.6893 59.7697i 2.90463 2.68374i
\(497\) 0.115271 + 0.199655i 0.00517060 + 0.00895574i
\(498\) 14.4018 1.51369i 0.645358 0.0678299i
\(499\) 5.88551 + 37.1596i 0.263472 + 1.66349i 0.664395 + 0.747382i \(0.268689\pi\)
−0.400923 + 0.916112i \(0.631311\pi\)
\(500\) 49.9668 + 2.61865i 2.23458 + 0.117110i
\(501\) 7.67828 2.05739i 0.343040 0.0919173i
\(502\) 1.09638 1.09638i 0.0489338 0.0489338i
\(503\) 0.190981 + 0.212106i 0.00851541 + 0.00945733i 0.747387 0.664388i \(-0.231308\pi\)
−0.738872 + 0.673846i \(0.764641\pi\)
\(504\) 8.09412 + 7.28798i 0.360541 + 0.324632i
\(505\) 5.16371 0.270619i 0.229782 0.0120424i
\(506\) −12.9814 17.8674i −0.577095 0.794303i
\(507\) −7.18059 + 9.57110i −0.318901 + 0.425068i
\(508\) 21.7936 + 29.9963i 0.966934 + 1.33087i
\(509\) 14.3386 11.6112i 0.635546 0.514655i −0.256532 0.966536i \(-0.582580\pi\)
0.892079 + 0.451880i \(0.149247\pi\)
\(510\) 11.7472 13.0466i 0.520175 0.577713i
\(511\) −3.11124 + 1.38521i −0.137633 + 0.0612782i
\(512\) 67.3570 10.6683i 2.97679 0.471477i
\(513\) −16.0257 24.6775i −0.707553 1.08954i
\(514\) −22.3104 8.56416i −0.984070 0.377749i
\(515\) −7.21289 1.14241i −0.317838 0.0503406i
\(516\) 29.2063 + 32.4369i 1.28574 + 1.42796i
\(517\) −35.7004 15.8949i −1.57010 0.699055i
\(518\) −0.492042 9.38873i −0.0216191 0.412517i
\(519\) −1.74139 5.35945i −0.0764385 0.235254i
\(520\) 26.0508 + 23.8204i 1.14240 + 1.04460i
\(521\) 44.6823 1.95757 0.978784 0.204895i \(-0.0656852\pi\)
0.978784 + 0.204895i \(0.0656852\pi\)
\(522\) 2.00837 7.49535i 0.0879041 0.328063i
\(523\) 0.389206 + 1.83107i 0.0170188 + 0.0800671i 0.985837 0.167704i \(-0.0536353\pi\)
−0.968819 + 0.247771i \(0.920302\pi\)
\(524\) −28.1839 63.3021i −1.23122 2.76536i
\(525\) 1.87835 + 0.297502i 0.0819781 + 0.0129841i
\(526\) −66.2732 + 17.7579i −2.88965 + 0.774280i
\(527\) 23.1160 + 30.9714i 1.00695 + 1.34913i
\(528\) −44.2636 44.2636i −1.92633 1.92633i
\(529\) 2.03946 + 19.4041i 0.0886720 + 0.843658i
\(530\) 0.965230 9.18355i 0.0419269 0.398908i
\(531\) −1.96163 1.27390i −0.0851277 0.0552826i
\(532\) 17.8208i 0.772631i
\(533\) 4.30274 5.23093i 0.186373 0.226577i
\(534\) 8.66868 26.6794i 0.375130 1.15453i
\(535\) 0.554043 + 10.5718i 0.0239534 + 0.457058i
\(536\) −85.9963 + 95.5086i −3.71448 + 4.12534i
\(537\) 6.98679 0.734341i 0.301502 0.0316891i
\(538\) 36.5549 18.6256i 1.57599 0.803008i
\(539\) −18.2188 + 22.4983i −0.784738 + 0.969070i
\(540\) 9.44752 24.6116i 0.406556 1.05912i
\(541\) 3.69399 7.24987i 0.158817 0.311696i −0.797862 0.602840i \(-0.794036\pi\)
0.956679 + 0.291144i \(0.0940358\pi\)
\(542\) −5.00787 11.2479i −0.215107 0.483137i
\(543\) −4.07316 0.428107i −0.174796 0.0183718i
\(544\) 8.68461 + 165.712i 0.372350 + 7.10485i
\(545\) −10.8033 + 14.8695i −0.462763 + 0.636939i
\(546\) 3.12629 + 3.52610i 0.133793 + 0.150903i
\(547\) 12.3732 38.0807i 0.529039 1.62822i −0.227148 0.973860i \(-0.572940\pi\)
0.756187 0.654355i \(-0.227060\pi\)
\(548\) −3.64936 9.50690i −0.155893 0.406115i
\(549\) −12.9224 11.6354i −0.551515 0.496586i
\(550\) 46.2788 + 9.83687i 1.97334 + 0.419445i
\(551\) −7.24531 + 3.69167i −0.308660 + 0.157270i
\(552\) −4.35961 16.2703i −0.185558 0.692510i
\(553\) −0.144491 0.539248i −0.00614439 0.0229312i
\(554\) −19.5963 38.4598i −0.832565 1.63400i
\(555\) −5.56272 + 2.47668i −0.236124 + 0.105129i
\(556\) 49.1587 + 21.8869i 2.08480 + 0.928211i
\(557\) 21.4838 + 5.75655i 0.910296 + 0.243913i 0.683433 0.730014i \(-0.260486\pi\)
0.226863 + 0.973927i \(0.427153\pi\)
\(558\) 27.8742 + 17.5965i 1.18001 + 0.744920i
\(559\) −17.8760 25.0051i −0.756072 1.05760i
\(560\) 6.60323 4.79753i 0.279037 0.202732i
\(561\) 21.3466 17.2861i 0.901253 0.729820i
\(562\) 83.6201 17.7740i 3.52730 0.749751i
\(563\) −38.7397 22.3664i −1.63268 0.942631i −0.983261 0.182203i \(-0.941677\pi\)
−0.649423 0.760427i \(-0.724990\pi\)
\(564\) −32.9064 32.9064i −1.38561 1.38561i
\(565\) −6.56727 0.344176i −0.276287 0.0144796i
\(566\) −24.4252 37.6115i −1.02667 1.58093i
\(567\) −0.490738 + 0.963128i −0.0206091 + 0.0404476i
\(568\) 0.457248 + 4.35043i 0.0191857 + 0.182540i
\(569\) −24.0138 + 5.10430i −1.00671 + 0.213983i −0.681626 0.731701i \(-0.738727\pi\)
−0.325086 + 0.945684i \(0.605393\pi\)
\(570\) −14.6496 + 5.62345i −0.613603 + 0.235540i
\(571\) −2.56847 1.86610i −0.107487 0.0780940i 0.532743 0.846277i \(-0.321161\pi\)
−0.640230 + 0.768183i \(0.721161\pi\)
\(572\) 53.7531 + 67.4301i 2.24753 + 2.81939i
\(573\) 2.32048 3.19387i 0.0969395 0.133426i
\(574\) −1.67877 2.07310i −0.0700703 0.0865296i
\(575\) 5.55451 + 5.00131i 0.231639 + 0.208569i
\(576\) 29.8655 + 67.0791i 1.24440 + 2.79496i
\(577\) −0.0554490 + 0.350091i −0.00230837 + 0.0145745i −0.988816 0.149143i \(-0.952349\pi\)
0.986507 + 0.163717i \(0.0523485\pi\)
\(578\) −85.6285 4.48760i −3.56168 0.186659i
\(579\) −7.05862 5.71596i −0.293346 0.237547i
\(580\) −6.49137 3.30752i −0.269539 0.137337i
\(581\) −0.614212 + 2.88964i −0.0254818 + 0.119883i
\(582\) 2.64170 0.561511i 0.109502 0.0232754i
\(583\) 3.73934 13.9554i 0.154868 0.577974i
\(584\) −64.6207 −2.67402
\(585\) −3.57421 + 6.88380i −0.147776 + 0.284610i
\(586\) −6.65505 4.83518i −0.274918 0.199739i
\(587\) −9.33849 24.3276i −0.385441 1.00411i −0.979813 0.199917i \(-0.935933\pi\)
0.594372 0.804190i \(-0.297401\pi\)
\(588\) −29.8559 + 17.2373i −1.23124 + 0.710855i
\(589\) −5.84181 34.0457i −0.240708 1.40283i
\(590\) −2.11110 + 2.11110i −0.0869127 + 0.0869127i
\(591\) 19.1875 + 15.5378i 0.789270 + 0.639138i
\(592\) 37.5323 97.7749i 1.54257 4.01853i
\(593\) 35.6732 18.1764i 1.46492 0.746415i 0.473958 0.880548i \(-0.342825\pi\)
0.990963 + 0.134133i \(0.0428250\pi\)
\(594\) 28.0382 48.5637i 1.15042 1.99259i
\(595\) 1.79074 + 3.10165i 0.0734131 + 0.127155i
\(596\) −65.0258 42.2283i −2.66356 1.72974i
\(597\) 14.1118 4.58520i 0.577558 0.187660i
\(598\) 2.75697 + 18.3145i 0.112741 + 0.748935i
\(599\) −24.3734 + 17.7083i −0.995869 + 0.723541i −0.961199 0.275858i \(-0.911038\pi\)
−0.0346705 + 0.999399i \(0.511038\pi\)
\(600\) 30.2634 + 19.6533i 1.23550 + 0.802341i
\(601\) −13.6618 + 30.6850i −0.557277 + 1.25167i 0.386868 + 0.922135i \(0.373557\pi\)
−0.944145 + 0.329530i \(0.893110\pi\)
\(602\) −11.0592 + 4.92389i −0.450741 + 0.200683i
\(603\) −25.1617 12.8206i −1.02467 0.522093i
\(604\) −54.8185 21.0429i −2.23053 0.856222i
\(605\) −6.98299 2.68052i −0.283899 0.108979i
\(606\) 11.6703 + 5.94633i 0.474075 + 0.241553i
\(607\) 8.58960 3.82434i 0.348641 0.155225i −0.224942 0.974372i \(-0.572219\pi\)
0.573584 + 0.819147i \(0.305553\pi\)
\(608\) 60.3272 135.497i 2.44659 5.49514i
\(609\) −0.522419 0.339263i −0.0211695 0.0137476i
\(610\) −17.9566 + 13.0463i −0.727042 + 0.528227i
\(611\) 20.4281 + 25.6258i 0.826432 + 1.03671i
\(612\) −79.0576 + 25.6874i −3.19572 + 1.03835i
\(613\) −27.5754 17.9077i −1.11376 0.723284i −0.149637 0.988741i \(-0.547810\pi\)
−0.964123 + 0.265457i \(0.914477\pi\)
\(614\) 0.946502 + 1.63939i 0.0381977 + 0.0661604i
\(615\) −0.863860 + 1.49625i −0.0348342 + 0.0603346i
\(616\) 19.3810 9.87512i 0.780883 0.397880i
\(617\) −13.3702 + 34.8305i −0.538263 + 1.40222i 0.347322 + 0.937746i \(0.387091\pi\)
−0.885585 + 0.464478i \(0.846242\pi\)
\(618\) −14.3760 11.6414i −0.578286 0.468286i
\(619\) 4.39538 4.39538i 0.176665 0.176665i −0.613235 0.789900i \(-0.710132\pi\)
0.789900 + 0.613235i \(0.210132\pi\)
\(620\) 21.6010 22.1635i 0.867517 0.890109i
\(621\) 7.67196 4.42941i 0.307865 0.177746i
\(622\) −9.50096 24.7509i −0.380954 0.992419i
\(623\) 4.62985 + 3.36378i 0.185491 + 0.134767i
\(624\) 15.8386 + 50.0487i 0.634053 + 2.00355i
\(625\) −11.0196 −0.440783
\(626\) 2.06392 7.70265i 0.0824908 0.307860i
\(627\) −24.0149 + 5.10451i −0.959061 + 0.203855i
\(628\) 18.9825 89.3054i 0.757482 3.56367i
\(629\) 40.9468 + 20.8634i 1.63266 + 0.831880i
\(630\) 2.37403 + 1.92246i 0.0945838 + 0.0765925i
\(631\) 17.0338 + 0.892703i 0.678104 + 0.0355379i 0.388279 0.921542i \(-0.373070\pi\)
0.289825 + 0.957080i \(0.406403\pi\)
\(632\) 1.65709 10.4624i 0.0659155 0.416174i
\(633\) 5.89105 + 13.2315i 0.234148 + 0.525906i
\(634\) −19.0885 17.1873i −0.758100 0.682596i
\(635\) 4.19146 + 5.17603i 0.166333 + 0.205404i
\(636\) 10.1128 13.9190i 0.400997 0.551925i
\(637\) 22.2537 9.70422i 0.881722 0.384495i
\(638\) −12.5373 9.10891i −0.496358 0.360625i
\(639\) −0.897346 + 0.344459i −0.0354985 + 0.0136266i
\(640\) 44.9435 9.55304i 1.77655 0.377617i
\(641\) 3.27640 + 31.1728i 0.129410 + 1.23125i 0.845780 + 0.533532i \(0.179136\pi\)
−0.716370 + 0.697721i \(0.754198\pi\)
\(642\) −12.1740 + 23.8929i −0.480471 + 0.942978i
\(643\) −19.0302 29.3040i −0.750478 1.15564i −0.983100 0.183068i \(-0.941397\pi\)
0.232622 0.972567i \(-0.425270\pi\)
\(644\) 5.35796 + 0.280799i 0.211133 + 0.0110650i
\(645\) 5.54415 + 5.54415i 0.218301 + 0.218301i
\(646\) 102.562 + 59.2141i 4.03524 + 2.32975i
\(647\) 30.8049 6.54778i 1.21106 0.257420i 0.442250 0.896892i \(-0.354180\pi\)
0.768814 + 0.639472i \(0.220847\pi\)
\(648\) −15.9395 + 12.9075i −0.626162 + 0.507056i
\(649\) −3.77906 + 2.74565i −0.148341 + 0.107776i
\(650\) −30.6422 25.2050i −1.20189 0.988621i
\(651\) 2.03488 1.69157i 0.0797530 0.0662979i
\(652\) 58.8352 + 15.7648i 2.30416 + 0.617399i
\(653\) −5.07066 2.25760i −0.198430 0.0883468i 0.305116 0.952315i \(-0.401305\pi\)
−0.503546 + 0.863968i \(0.667972\pi\)
\(654\) −42.5317 + 18.9363i −1.66312 + 0.740470i
\(655\) −5.65091 11.0905i −0.220799 0.433343i
\(656\) −7.69109 28.7035i −0.300287 1.12069i
\(657\) −3.67501 13.7153i −0.143376 0.535086i
\(658\) 11.5002 5.85965i 0.448325 0.228433i
\(659\) 31.8958 + 6.77967i 1.24249 + 0.264099i 0.781836 0.623484i \(-0.214283\pi\)
0.460649 + 0.887582i \(0.347617\pi\)
\(660\) −16.3466 14.7186i −0.636292 0.572920i
\(661\) −12.6623 32.9865i −0.492507 1.28303i −0.924511 0.381154i \(-0.875527\pi\)
0.432004 0.901872i \(-0.357807\pi\)
\(662\) −18.0285 + 55.4861i −0.700698 + 2.15653i
\(663\) −22.5674 + 4.61630i −0.876445 + 0.179282i
\(664\) −32.9478 + 45.3488i −1.27862 + 1.75987i
\(665\) −0.167538 3.19681i −0.00649683 0.123967i
\(666\) 38.9831 + 4.09728i 1.51056 + 0.158767i
\(667\) −0.995762 2.23652i −0.0385561 0.0865984i
\(668\) −21.8111 + 42.8067i −0.843898 + 1.65624i
\(669\) 7.43891 19.3790i 0.287605 0.749236i
\(670\) −22.6845 + 28.0130i −0.876378 + 1.08224i
\(671\) −30.9421 + 15.7658i −1.19451 + 0.608632i
\(672\) 11.2997 1.18764i 0.435894 0.0458143i
\(673\) −29.8745 + 33.1789i −1.15158 + 1.27895i −0.197194 + 0.980364i \(0.563183\pi\)
−0.954382 + 0.298590i \(0.903484\pi\)
\(674\) −2.72375 51.9723i −0.104915 2.00190i
\(675\) −5.86451 + 18.0491i −0.225725 + 0.694711i
\(676\) −13.9489 70.9576i −0.536497 2.72914i
\(677\) 25.4939i 0.979812i −0.871775 0.489906i \(-0.837031\pi\)
0.871775 0.489906i \(-0.162969\pi\)
\(678\) −13.9706 9.07264i −0.536539 0.348433i
\(679\) −0.0575907 + 0.547939i −0.00221013 + 0.0210280i
\(680\) 7.10338 + 67.5841i 0.272402 + 2.59173i
\(681\) 13.4641 + 13.4641i 0.515947 + 0.515947i
\(682\) 52.7573 39.3762i 2.02018 1.50779i
\(683\) 40.2546 10.7862i 1.54030 0.412722i 0.613937 0.789355i \(-0.289585\pi\)
0.926363 + 0.376632i \(0.122918\pi\)
\(684\) 73.3850 + 11.6230i 2.80595 + 0.444418i
\(685\) −0.744020 1.67110i −0.0284275 0.0638493i
\(686\) −4.05464 19.0756i −0.154807 0.728309i
\(687\) −2.09420 + 7.81567i −0.0798988 + 0.298186i
\(688\) −134.855 −5.14132
\(689\) −8.17591 + 8.94144i −0.311477 + 0.340642i
\(690\) −1.45990 4.49310i −0.0555774 0.171049i
\(691\) −1.66802 31.8277i −0.0634545 1.21078i −0.825932 0.563769i \(-0.809351\pi\)
0.762478 0.647014i \(-0.223983\pi\)
\(692\) 31.1139 + 13.8528i 1.18277 + 0.526605i
\(693\) 3.19814 + 3.55189i 0.121487 + 0.134925i
\(694\) 23.3015 + 3.69060i 0.884514 + 0.140093i
\(695\) 9.02415 + 3.46405i 0.342305 + 0.131399i
\(696\) −6.43731 9.91259i −0.244006 0.375736i
\(697\) 12.8788 2.03980i 0.487819 0.0772629i
\(698\) −80.2369 + 35.7238i −3.03701 + 1.35216i
\(699\) −6.00087 + 6.66464i −0.226974 + 0.252080i
\(700\) −8.93247 + 7.23337i −0.337616 + 0.273396i
\(701\) −21.8908 30.1301i −0.826804 1.13800i −0.988510 0.151158i \(-0.951700\pi\)
0.161706 0.986839i \(-0.448300\pi\)
\(702\) −39.6345 + 25.3090i −1.49591 + 0.955228i
\(703\) −24.1439 33.2313i −0.910605 1.25334i
\(704\) 146.440 7.67461i 5.51918 0.289248i
\(705\) −6.21231 5.59359i −0.233969 0.210667i
\(706\) 11.2862 + 12.5346i 0.424762 + 0.471746i
\(707\) −1.88941 + 1.88941i −0.0710585 + 0.0710585i
\(708\) −5.37307 + 1.43971i −0.201932 + 0.0541076i
\(709\) −9.87246 0.517393i −0.370768 0.0194311i −0.133958 0.990987i \(-0.542769\pi\)
−0.236810 + 0.971556i \(0.576102\pi\)
\(710\) 0.191928 + 1.21178i 0.00720292 + 0.0454775i
\(711\) 2.31483 0.243298i 0.0868128 0.00912439i
\(712\) 54.2934 + 94.0390i 2.03473 + 3.52426i
\(713\) 10.3281 1.21993i 0.386791 0.0456867i
\(714\) 9.07208i 0.339514i
\(715\) 10.2765 + 11.5907i 0.384318 + 0.433466i
\(716\) −24.9570 + 34.3504i −0.932688 + 1.28374i
\(717\) −5.25983 + 8.09943i −0.196432 + 0.302479i
\(718\) −7.70842 13.3514i −0.287676 0.498269i
\(719\) −1.52499 + 2.64137i −0.0568726 + 0.0985063i −0.893060 0.449938i \(-0.851446\pi\)
0.836187 + 0.548444i \(0.184780\pi\)
\(720\) 15.4492 + 30.3207i 0.575756 + 1.12998i
\(721\) 3.16493 2.05533i 0.117868 0.0765444i
\(722\) −29.1941 44.9550i −1.08649 1.67305i
\(723\) 15.1252 + 2.39560i 0.562513 + 0.0890933i
\(724\) 18.3951 16.5630i 0.683649 0.615560i
\(725\) 4.79123 + 2.13319i 0.177942 + 0.0792247i
\(726\) −11.9236 14.7244i −0.442525 0.546473i
\(727\) −15.6112 + 5.07238i −0.578986 + 0.188124i −0.583846 0.811864i \(-0.698453\pi\)
0.00486023 + 0.999988i \(0.498453\pi\)
\(728\) −18.2406 0.139852i −0.676043 0.00518324i
\(729\) 6.94853 + 5.04841i 0.257353 + 0.186978i
\(730\) −18.0994 + 0.948549i −0.669889 + 0.0351074i
\(731\) 6.18538 58.8500i 0.228775 2.17664i
\(732\) −41.1278 + 4.32271i −1.52013 + 0.159772i
\(733\) −7.24047 14.2102i −0.267433 0.524867i 0.717765 0.696285i \(-0.245165\pi\)
−0.985198 + 0.171418i \(0.945165\pi\)
\(734\) −10.5218 + 12.9933i −0.388365 + 0.479591i
\(735\) −5.19367 + 3.37281i −0.191572 + 0.124408i
\(736\) 39.7876 + 20.2728i 1.46659 + 0.747265i
\(737\) −41.9115 + 37.7372i −1.54383 + 1.39007i
\(738\) 9.63182 5.56093i 0.354552 0.204701i
\(739\) 12.7411 + 3.41398i 0.468691 + 0.125585i 0.485432 0.874275i \(-0.338662\pi\)
−0.0167411 + 0.999860i \(0.505329\pi\)
\(740\) 11.3724 35.0006i 0.418057 1.28665i
\(741\) 19.8459 + 5.48111i 0.729057 + 0.201353i
\(742\) 2.80478 + 3.86044i 0.102967 + 0.141721i
\(743\) 7.21581 26.9298i 0.264722 0.987957i −0.697698 0.716392i \(-0.745792\pi\)
0.962420 0.271565i \(-0.0875412\pi\)
\(744\) 48.3274 13.6173i 1.77177 0.499236i
\(745\) −12.0617 6.96383i −0.441907 0.255135i
\(746\) −14.2771 + 90.1422i −0.522722 + 3.30034i
\(747\) −11.4987 4.41396i −0.420717 0.161498i
\(748\) −8.68834 + 165.783i −0.317677 + 6.06164i
\(749\) −3.86822 3.86822i −0.141342 0.141342i
\(750\) 19.7168 + 11.3835i 0.719956 + 0.415667i
\(751\) −6.26644 29.4813i −0.228666 1.07579i −0.931305 0.364241i \(-0.881328\pi\)
0.702639 0.711547i \(-0.252005\pi\)
\(752\) 143.583 7.52486i 5.23593 0.274403i
\(753\) 0.493537 0.160360i 0.0179855 0.00584384i
\(754\) 5.81104 + 11.6243i 0.211626 + 0.423331i
\(755\) −10.0315 3.25943i −0.365084 0.118623i
\(756\) 4.88203 + 12.7181i 0.177558 + 0.462554i
\(757\) 19.5034 + 2.04989i 0.708864 + 0.0745046i 0.452097 0.891969i \(-0.350676\pi\)
0.256767 + 0.966473i \(0.417343\pi\)
\(758\) −5.40712 + 25.4385i −0.196395 + 0.923968i
\(759\) −1.15631 7.30066i −0.0419714 0.264997i
\(760\) 21.7675 56.7064i 0.789592 2.05696i
\(761\) −12.4354 + 8.07564i −0.450783 + 0.292742i −0.749993 0.661445i \(-0.769943\pi\)
0.299211 + 0.954187i \(0.403277\pi\)
\(762\) 2.63919 + 16.6632i 0.0956079 + 0.603644i
\(763\) −0.992787 9.44573i −0.0359413 0.341959i
\(764\) 4.96077 + 23.3386i 0.179475 + 0.844361i
\(765\) −13.9403 + 5.35119i −0.504014 + 0.193473i
\(766\) 19.0921 + 58.7594i 0.689825 + 2.12306i
\(767\) 3.87362 0.583114i 0.139868 0.0210550i
\(768\) 50.9802 + 16.5645i 1.83959 + 0.597719i
\(769\) −24.1586 6.47327i −0.871180 0.233432i −0.204582 0.978849i \(-0.565584\pi\)
−0.666598 + 0.745417i \(0.732250\pi\)
\(770\) 5.28341 3.05038i 0.190401 0.109928i
\(771\) −5.35186 5.94384i −0.192743 0.214062i
\(772\) 54.2186 8.58739i 1.95137 0.309067i
\(773\) 27.8559 34.3991i 1.00191 1.23725i 0.0305713 0.999533i \(-0.490267\pi\)
0.971334 0.237718i \(-0.0763993\pi\)
\(774\) −13.0632 48.7526i −0.469548 1.75238i
\(775\) −14.6938 + 16.7471i −0.527818 + 0.601573i
\(776\) −5.22704 + 9.05350i −0.187640 + 0.325002i
\(777\) 1.27983 2.87456i 0.0459138 0.103124i
\(778\) 3.13476 + 3.87110i 0.112387 + 0.138786i
\(779\) −11.0844 3.60153i −0.397139 0.129038i
\(780\) 6.47838 + 17.2714i 0.231963 + 0.618415i
\(781\) 1.91959i 0.0686882i
\(782\) −19.4192 + 29.9029i −0.694428 + 1.06933i
\(783\) 4.15940 4.61948i 0.148645 0.165087i
\(784\) 22.1453 104.185i 0.790902 3.72090i
\(785\) 2.56560 16.1986i 0.0915703 0.578152i
\(786\) 1.65012 31.4862i 0.0588580 1.12308i
\(787\) −21.8575 17.6998i −0.779135 0.630931i 0.154974 0.987918i \(-0.450471\pi\)
−0.934109 + 0.356988i \(0.883804\pi\)
\(788\) −147.383 + 23.3432i −5.25031 + 0.831567i
\(789\) −22.4614 4.77432i −0.799648 0.169970i
\(790\) 0.310553 2.95472i 0.0110490 0.105124i
\(791\) 2.64099 2.13863i 0.0939026 0.0760409i
\(792\) 28.0245 + 86.2504i 0.995806 + 3.06478i
\(793\) 29.1215 + 0.223275i 1.03413 + 0.00792874i
\(794\) 1.55519 1.12991i 0.0551916 0.0400991i
\(795\) 1.68323 2.59195i 0.0596980 0.0919269i
\(796\) −36.4755 + 81.9252i −1.29284 + 2.90376i
\(797\) 7.93083 + 1.68575i 0.280925 + 0.0597124i 0.346219 0.938154i \(-0.387465\pi\)
−0.0652946 + 0.997866i \(0.520799\pi\)
\(798\) 3.68132 7.22500i 0.130317 0.255762i
\(799\) −3.30188 + 63.0037i −0.116812 + 2.22891i
\(800\) −92.4027 + 24.7592i −3.26693 + 0.875371i
\(801\) −16.8715 + 16.8715i −0.596124 + 0.596124i
\(802\) 34.6474 31.1966i 1.22344 1.10159i
\(803\) −28.2018 2.96412i −0.995218 0.104602i
\(804\) −62.6994 + 24.0680i −2.21124 + 0.848815i
\(805\) 0.963781 0.0339688
\(806\) −54.4816 + 8.91889i −1.91903 + 0.314155i
\(807\) 13.7310 0.483355
\(808\) −47.3326 + 18.1693i −1.66516 + 0.639194i
\(809\) −5.01221 0.526805i −0.176220 0.0185215i 0.0160074 0.999872i \(-0.494904\pi\)
−0.192227 + 0.981350i \(0.561571\pi\)
\(810\) −4.27497 + 3.84920i −0.150207 + 0.135247i
\(811\) −34.6913 + 34.6913i −1.21817 + 1.21817i −0.249904 + 0.968271i \(0.580399\pi\)
−0.968271 + 0.249904i \(0.919601\pi\)
\(812\) 3.63649 0.974395i 0.127616 0.0341945i
\(813\) 0.215664 4.11512i 0.00756368 0.144324i
\(814\) 35.5392 69.7496i 1.24565 2.44472i
\(815\) 10.7024 + 2.27487i 0.374889 + 0.0796851i
\(816\) −41.1049 + 92.3231i −1.43896 + 3.23195i
\(817\) −28.8065 + 44.3581i −1.00781 + 1.55189i
\(818\) 16.9364 12.3050i 0.592167 0.430235i
\(819\) −1.00767 3.87941i −0.0352109 0.135558i
\(820\) −3.22676 9.93095i −0.112683 0.346804i
\(821\) −36.3290 + 29.4187i −1.26789 + 1.02672i −0.269931 + 0.962880i \(0.587001\pi\)
−0.997960 + 0.0638387i \(0.979666\pi\)
\(822\) 0.484340 4.60819i 0.0168933 0.160729i
\(823\) 36.9939 + 7.86330i 1.28953 + 0.274097i 0.801112 0.598514i \(-0.204242\pi\)
0.488415 + 0.872612i \(0.337575\pi\)
\(824\) 70.7230 11.2014i 2.46375 0.390220i
\(825\) 12.3061 + 9.96524i 0.428442 + 0.346945i
\(826\) 0.0807435 1.54068i 0.00280942 0.0536070i
\(827\) −2.89992 + 18.3094i −0.100840 + 0.636679i 0.884560 + 0.466426i \(0.154459\pi\)
−0.985400 + 0.170253i \(0.945541\pi\)
\(828\) −4.65086 + 21.8806i −0.161628 + 0.760402i
\(829\) 22.6258 25.1285i 0.785828 0.872750i −0.208618 0.977997i \(-0.566897\pi\)
0.994446 + 0.105247i \(0.0335634\pi\)
\(830\) −8.56258 + 13.1852i −0.297212 + 0.457666i
\(831\) 14.4466i 0.501146i
\(832\) −111.956 50.8779i −3.88136 1.76387i
\(833\) 44.4500 + 14.4427i 1.54010 + 0.500409i
\(834\) 15.4089 + 19.0284i 0.533566 + 0.658899i
\(835\) −3.51017 + 7.88397i −0.121475 + 0.272836i
\(836\) 74.1919 128.504i 2.56598 4.44441i
\(837\) 13.4960 + 22.6969i 0.466489 + 0.784520i
\(838\) −0.874410 3.26334i −0.0302060 0.112730i
\(839\) −28.2428 + 34.8769i −0.975048 + 1.20408i 0.00390370 + 0.999992i \(0.498757\pi\)
−0.978952 + 0.204092i \(0.934576\pi\)
\(840\) 4.59570 0.727888i 0.158567 0.0251145i
\(841\) 18.2553 + 20.2746i 0.629494 + 0.699124i
\(842\) 61.6977 35.6212i 2.12624 1.22759i
\(843\) 27.6368 + 7.40526i 0.951863 + 0.255051i
\(844\) −83.2525 27.0504i −2.86567 0.931112i
\(845\) −3.16933 12.5977i −0.109028 0.433373i
\(846\) 16.6290 + 51.1788i 0.571717 + 1.75956i
\(847\) 3.60848 1.38517i 0.123989 0.0475949i
\(848\) 11.0518 + 51.9945i 0.379520 + 1.78550i
\(849\) −1.56892 14.9273i −0.0538453 0.512304i
\(850\) −11.9489 75.4424i −0.409844 2.58765i
\(851\) 10.3716 6.73542i 0.355535 0.230887i
\(852\) −0.819198 + 2.13408i −0.0280653 + 0.0731125i
\(853\) −4.02864 25.4358i −0.137938 0.870906i −0.955484 0.295043i \(-0.904666\pi\)
0.817546 0.575863i \(-0.195334\pi\)
\(854\) 2.38467 11.2190i 0.0816019 0.383907i
\(855\) 13.2735 + 1.39510i 0.453944 + 0.0477115i
\(856\) −37.1984 96.9051i −1.27142 3.31215i
\(857\) −8.83188 2.86965i −0.301691 0.0980254i 0.154260 0.988030i \(-0.450701\pi\)
−0.455951 + 0.890005i \(0.650701\pi\)
\(858\) 7.86349 + 38.4417i 0.268455 + 1.31238i
\(859\) 6.90225 2.24268i 0.235502 0.0765192i −0.188889 0.981999i \(-0.560488\pi\)
0.424390 + 0.905479i \(0.360488\pi\)
\(860\) −47.3223 + 2.48006i −1.61368 + 0.0845692i
\(861\) −0.185625 0.873295i −0.00632607 0.0297618i
\(862\) −40.3002 23.2673i −1.37263 0.792489i
\(863\) 14.5114 + 14.5114i 0.493975 + 0.493975i 0.909556 0.415581i \(-0.136422\pi\)
−0.415581 + 0.909556i \(0.636422\pi\)
\(864\) −5.93395 + 113.226i −0.201877 + 3.85204i
\(865\) 5.71163 + 2.19249i 0.194201 + 0.0745469i
\(866\) 11.2995 71.3423i 0.383973 2.42431i
\(867\) −24.8532 14.3490i −0.844060 0.487318i
\(868\) −0.631668 + 15.9804i −0.0214402 + 0.542410i
\(869\) 1.20309 4.49001i 0.0408122 0.152313i
\(870\) −1.94851 2.68189i −0.0660607 0.0909247i
\(871\) 45.7761 11.8903i 1.55106 0.402886i
\(872\) 55.6893 171.394i 1.88588 5.80414i
\(873\) −2.21881 0.594529i −0.0750954 0.0201218i
\(874\) 27.5996 15.9346i 0.933570 0.538997i
\(875\) −3.45158 + 3.10782i −0.116685 + 0.105063i
\(876\) −30.0881 15.3307i −1.01658 0.517975i
\(877\) −29.9989 + 19.4815i −1.01299 + 0.657844i −0.940594 0.339532i \(-0.889731\pi\)
−0.0723958 + 0.997376i \(0.523064\pi\)
\(878\) −10.3398 + 12.7686i −0.348952 + 0.430919i
\(879\) −1.24991 2.45309i −0.0421584 0.0827406i
\(880\) 67.5883 7.10382i 2.27840 0.239470i
\(881\) 2.74934 26.1582i 0.0926275 0.881292i −0.845261 0.534354i \(-0.820555\pi\)
0.937888 0.346938i \(-0.112779\pi\)
\(882\) 39.8100 2.08635i 1.34047 0.0702512i
\(883\) −12.6043 9.15759i −0.424170 0.308178i 0.355143 0.934812i \(-0.384432\pi\)
−0.779313 + 0.626634i \(0.784432\pi\)
\(884\) 70.5310 120.029i 2.37222 4.03700i
\(885\) −0.950317 + 0.308777i −0.0319446 + 0.0103794i
\(886\) −20.7722 25.6516i −0.697857 0.861782i
\(887\) 36.7626 + 16.3678i 1.23437 + 0.549576i 0.917061 0.398747i \(-0.130555\pi\)
0.317307 + 0.948323i \(0.397222\pi\)
\(888\) 44.3693 39.9503i 1.48894 1.34064i
\(889\) −3.39936 0.538406i −0.114011 0.0180575i
\(890\) 16.5872 + 25.5421i 0.556006 + 0.856174i
\(891\) −7.54837 + 4.90197i −0.252880 + 0.164222i
\(892\) 56.9558 + 111.782i 1.90702 + 3.74274i
\(893\) 28.1956 48.8362i 0.943530 1.63424i
\(894\) −17.6398 30.5530i −0.589962 1.02184i
\(895\) −4.15400 + 6.39660i −0.138853 + 0.213815i
\(896\) −13.9561 + 19.2090i −0.466241 + 0.641726i
\(897\) −1.96064 + 5.88043i −0.0654638 + 0.196342i
\(898\) 90.0107i 3.00370i
\(899\) 6.62790 3.05360i 0.221053 0.101843i
\(900\) −23.9606 41.5010i −0.798687 1.38337i
\(901\) −23.1969 + 2.43810i −0.772802 + 0.0812248i
\(902\) −3.47464 21.9380i −0.115693 0.730455i
\(903\) −4.04611 0.212048i −0.134646 0.00705650i
\(904\) 62.2839 16.6889i 2.07153 0.555065i
\(905\) 3.14411 3.14411i 0.104514 0.104514i
\(906\) −17.8778 19.8554i −0.593951 0.659650i
\(907\) 25.2617 + 22.7457i 0.838800 + 0.755259i 0.971787 0.235858i \(-0.0757902\pi\)
−0.132987 + 0.991118i \(0.542457\pi\)
\(908\) −114.924 + 6.02289i −3.81387 + 0.199877i
\(909\) −6.54815 9.01275i −0.217188 0.298934i
\(910\) −5.11101 + 0.228579i −0.169428 + 0.00757731i
\(911\) −17.8180 24.5244i −0.590337 0.812530i 0.404444 0.914563i \(-0.367465\pi\)
−0.994781 + 0.102033i \(0.967465\pi\)
\(912\) 70.1993 56.8463i 2.32453 1.88237i
\(913\) −16.4592 + 18.2798i −0.544720 + 0.604973i
\(914\) −17.5492 + 7.81342i −0.580477 + 0.258445i
\(915\) −7.33711 + 1.16208i −0.242557 + 0.0384173i
\(916\) −26.6344 41.0133i −0.880024 1.35512i
\(917\) 6.00491 + 2.30507i 0.198300 + 0.0761201i
\(918\) −89.4167 14.1622i −2.95119 0.467423i
\(919\) −39.3488 43.7013i −1.29800 1.44157i −0.829918 0.557886i \(-0.811613\pi\)
−0.468080 0.883686i \(-0.655054\pi\)
\(920\) 16.7062 + 7.43807i 0.550786 + 0.245226i
\(921\) 0.0331581 + 0.632694i 0.00109260 + 0.0208480i
\(922\) −7.75326 23.8621i −0.255340 0.785856i
\(923\) 0.741796 1.42867i 0.0244165 0.0470253i
\(924\) 11.3668 0.373940
\(925\) −6.85687 + 25.5902i −0.225453 + 0.841400i
\(926\) −15.8658 74.6427i −0.521382 2.45291i
\(927\) 6.39949 + 14.3735i 0.210187 + 0.472087i
\(928\) 30.9478 + 4.90166i 1.01591 + 0.160905i
\(929\) −4.98039 + 1.33449i −0.163401 + 0.0437832i −0.339592 0.940573i \(-0.610289\pi\)
0.176191 + 0.984356i \(0.443622\pi\)
\(930\) 13.3360 4.52342i 0.437304 0.148329i
\(931\) −29.5393 29.5393i −0.968111 0.968111i
\(932\) −5.66564 53.9050i −0.185584 1.76572i
\(933\) 0.927494 8.82452i 0.0303648 0.288902i
\(934\) −26.6391 17.2996i −0.871657 0.566061i
\(935\) 29.8209i 0.975247i
\(936\) 12.4727 75.0224i 0.407684 2.45219i
\(937\) 13.7287 42.2527i 0.448498 1.38034i −0.430103 0.902780i \(-0.641523\pi\)
0.878601 0.477556i \(-0.158477\pi\)
\(938\) −0.974856 18.6014i −0.0318302 0.607356i
\(939\) 1.78585 1.98339i 0.0582791 0.0647255i
\(940\) 50.2464 5.28111i 1.63886 0.172251i
\(941\) −3.67313 + 1.87155i −0.119741 + 0.0610109i −0.512835 0.858487i \(-0.671405\pi\)
0.393094 + 0.919498i \(0.371405\pi\)
\(942\) 26.1441 32.2853i 0.851821 1.05191i
\(943\) 1.25748 3.27584i 0.0409491 0.106676i
\(944\) 7.80239 15.3130i 0.253946 0.498397i
\(945\) 0.995334 + 2.23556i 0.0323782 + 0.0727227i
\(946\) −100.246 10.5363i −3.25928 0.342565i
\(947\) −0.186217 3.55324i −0.00605125 0.115465i −0.999985 0.00548393i \(-0.998254\pi\)
0.993934 0.109981i \(-0.0350789\pi\)
\(948\) 3.25368 4.47830i 0.105675 0.145449i
\(949\) 19.8440 + 13.1042i 0.644164 + 0.425382i
\(950\) −21.0974 + 64.9310i −0.684489 + 2.10664i
\(951\) −3.08081 8.02579i −0.0999021 0.260254i
\(952\) −26.0968 23.4977i −0.845802 0.761563i
\(953\) 13.1810 + 2.80171i 0.426974 + 0.0907562i 0.416386 0.909188i \(-0.363296\pi\)
0.0105879 + 0.999944i \(0.496630\pi\)
\(954\) −17.7264 + 9.03204i −0.573912 + 0.292423i
\(955\) 1.10930 + 4.13998i 0.0358962 + 0.133967i
\(956\) −15.1067 56.3791i −0.488587 1.82343i
\(957\) −2.35468 4.62133i −0.0761161 0.149386i
\(958\) −33.5227 + 14.9253i −1.08307 + 0.482214i
\(959\) 0.863544 + 0.384475i 0.0278853 + 0.0124153i
\(960\) 30.2996 + 8.11874i 0.977914 + 0.262031i
\(961\) 4.03173 + 30.7367i 0.130056 + 0.991507i
\(962\) −53.4042 + 38.1783i −1.72182 + 1.23092i
\(963\) 18.4520 13.4062i 0.594608 0.432008i
\(964\) −71.9276 + 58.2459i −2.31663 + 1.87597i
\(965\) 9.64532 2.05018i 0.310494 0.0659975i
\(966\) 2.11424 + 1.22066i 0.0680245 + 0.0392740i
\(967\) 10.3597 + 10.3597i 0.333144 + 0.333144i 0.853779 0.520635i \(-0.174305\pi\)
−0.520635 + 0.853779i \(0.674305\pi\)
\(968\) 73.2396 + 3.83832i 2.35401 + 0.123368i
\(969\) 21.5875 + 33.2418i 0.693490 + 1.06788i
\(970\) −1.33113 + 2.61249i −0.0427400 + 0.0838821i
\(971\) −1.45036 13.7993i −0.0465443 0.442840i −0.992832 0.119515i \(-0.961866\pi\)
0.946288 0.323325i \(-0.104801\pi\)
\(972\) −87.9016 + 18.6841i −2.81945 + 0.599292i
\(973\) −4.66326 + 1.79006i −0.149497 + 0.0573866i
\(974\) 73.8377 + 53.6462i 2.36591 + 1.71894i
\(975\) −5.30798 12.1722i −0.169992 0.389824i
\(976\) 75.1004 103.367i 2.40391 3.30869i
\(977\) 27.0248 + 33.3728i 0.864600 + 1.06769i 0.997069 + 0.0765049i \(0.0243761\pi\)
−0.132469 + 0.991187i \(0.542291\pi\)
\(978\) 20.5966 + 18.5453i 0.658606 + 0.593012i
\(979\) 19.3812 + 43.5309i 0.619426 + 1.39125i
\(980\) 5.85500 36.9670i 0.187031 1.18087i
\(981\) 39.5444 + 2.07243i 1.26256 + 0.0661677i
\(982\) −32.6920 26.4735i −1.04324 0.844802i
\(983\) −37.4382 19.0757i −1.19409 0.608421i −0.260055 0.965594i \(-0.583741\pi\)
−0.934038 + 0.357173i \(0.883741\pi\)
\(984\) 3.52212 16.5703i 0.112281 0.528241i
\(985\) −26.2190 + 5.57302i −0.835407 + 0.177571i
\(986\) −6.47533 + 24.1663i −0.206217 + 0.769610i
\(987\) 4.31979 0.137501
\(988\) −104.877 + 66.9702i −3.33657 + 2.13061i
\(989\) −12.8827 9.35981i −0.409645 0.297625i
\(990\) 9.11533 + 23.7462i 0.289704 + 0.754705i
\(991\) 1.61196 0.930666i 0.0512056 0.0295636i −0.474179 0.880429i \(-0.657255\pi\)
0.525384 + 0.850865i \(0.323922\pi\)
\(992\) −58.8997 + 119.365i −1.87007 + 3.78985i
\(993\) −13.8070 + 13.8070i −0.438153 + 0.438153i
\(994\) −0.492710 0.398989i −0.0156278 0.0126552i
\(995\) −5.77299 + 15.0391i −0.183016 + 0.476773i
\(996\) −26.0995 + 13.2983i −0.826993 + 0.421374i
\(997\) 7.73971 13.4056i 0.245119 0.424559i −0.717046 0.697026i \(-0.754506\pi\)
0.962165 + 0.272467i \(0.0878396\pi\)
\(998\) −51.7322 89.6029i −1.63756 2.83633i
\(999\) 26.3344 + 17.1018i 0.833185 + 0.541076i
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 403.2.cb.a.15.1 576
13.7 odd 12 inner 403.2.cb.a.46.1 yes 576
31.29 odd 10 inner 403.2.cb.a.184.1 yes 576
403.215 even 60 inner 403.2.cb.a.215.1 yes 576
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
403.2.cb.a.15.1 576 1.1 even 1 trivial
403.2.cb.a.46.1 yes 576 13.7 odd 12 inner
403.2.cb.a.184.1 yes 576 31.29 odd 10 inner
403.2.cb.a.215.1 yes 576 403.215 even 60 inner