Properties

Label 576.2.bm.a.13.93
Level $576$
Weight $2$
Character 576.13
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [576,2,Mod(13,576)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(576, base_ring=CyclotomicField(48))
 
chi = DirichletCharacter(H, H._module([0, 45, 16]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("576.13");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), 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: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 13.93
Character \(\chi\) \(=\) 576.13
Dual form 576.2.bm.a.133.93

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.40630 - 0.149385i) q^{2} +(1.43777 + 0.965827i) q^{3} +(1.95537 - 0.420161i) q^{4} +(0.516861 - 1.52262i) q^{5} +(2.16622 + 1.14346i) q^{6} +(-0.0123350 + 0.0160753i) q^{7} +(2.68707 - 0.882976i) q^{8} +(1.13436 + 2.77727i) q^{9} +O(q^{10})\) \(q+(1.40630 - 0.149385i) q^{2} +(1.43777 + 0.965827i) q^{3} +(1.95537 - 0.420161i) q^{4} +(0.516861 - 1.52262i) q^{5} +(2.16622 + 1.14346i) q^{6} +(-0.0123350 + 0.0160753i) q^{7} +(2.68707 - 0.882976i) q^{8} +(1.13436 + 2.77727i) q^{9} +(0.499406 - 2.21848i) q^{10} +(-1.09725 - 0.0719174i) q^{11} +(3.21717 + 1.28445i) q^{12} +(-2.81103 + 3.20536i) q^{13} +(-0.0149453 + 0.0244494i) q^{14} +(2.21372 - 1.68998i) q^{15} +(3.64693 - 1.64314i) q^{16} +(-2.58058 - 2.58058i) q^{17} +(2.01013 + 3.73623i) q^{18} +(0.725210 - 3.64588i) q^{19} +(0.370907 - 3.19446i) q^{20} +(-0.0332608 + 0.0111991i) q^{21} +(-1.55380 + 0.0627748i) q^{22} +(-5.48655 + 4.20998i) q^{23} +(4.71619 + 1.32573i) q^{24} +(1.91553 + 1.46984i) q^{25} +(-3.47432 + 4.92763i) q^{26} +(-1.05142 + 5.08866i) q^{27} +(-0.0173653 + 0.0366158i) q^{28} +(3.71824 - 7.53985i) q^{29} +(2.86070 - 2.70732i) q^{30} +(-4.82349 - 2.78484i) q^{31} +(4.88322 - 2.85554i) q^{32} +(-1.50813 - 1.16315i) q^{33} +(-4.01457 - 3.24357i) q^{34} +(0.0181011 + 0.0270903i) q^{35} +(3.38498 + 4.95398i) q^{36} +(-0.768663 - 3.86433i) q^{37} +(0.475224 - 5.23554i) q^{38} +(-7.13743 + 1.89360i) q^{39} +(0.0444034 - 4.54778i) q^{40} +(2.09756 - 1.60952i) q^{41} +(-0.0451018 + 0.0207179i) q^{42} +(-0.833681 + 12.7195i) q^{43} +(-2.17574 + 0.320395i) q^{44} +(4.81505 - 0.291734i) q^{45} +(-7.08684 + 6.74011i) q^{46} +(-0.254470 + 0.949695i) q^{47} +(6.83043 + 1.15985i) q^{48} +(1.81163 + 6.76108i) q^{49} +(2.91338 + 1.78088i) q^{50} +(-1.21788 - 6.20266i) q^{51} +(-4.14983 + 7.44875i) q^{52} +(-5.06067 + 7.57383i) q^{53} +(-0.718447 + 7.31326i) q^{54} +(-0.676628 + 1.63352i) q^{55} +(-0.0189510 + 0.0540870i) q^{56} +(4.56397 - 4.54150i) q^{57} +(4.10263 - 11.1587i) q^{58} +(2.18648 - 6.44117i) q^{59} +(3.61857 - 4.23466i) q^{60} +(-9.00400 - 4.44028i) q^{61} +(-7.19929 - 3.19577i) q^{62} +(-0.0586377 - 0.0160226i) q^{63} +(6.44071 - 4.74524i) q^{64} +(3.42765 + 5.93687i) q^{65} +(-2.29464 - 1.41045i) q^{66} +(0.571757 + 8.72333i) q^{67} +(-6.13024 - 3.96172i) q^{68} +(-11.9545 + 0.753915i) q^{69} +(0.0295026 + 0.0353931i) q^{70} +(-0.699528 - 1.68881i) q^{71} +(5.50036 + 6.46112i) q^{72} +(2.18322 - 5.27076i) q^{73} +(-1.65824 - 5.31958i) q^{74} +(1.33448 + 3.96335i) q^{75} +(-0.113802 - 7.43373i) q^{76} +(0.0146906 - 0.0167515i) q^{77} +(-9.75451 + 3.72920i) q^{78} +(-6.44604 - 1.72721i) q^{79} +(-0.616925 - 6.40218i) q^{80} +(-6.42647 + 6.30083i) q^{81} +(2.70937 - 2.57681i) q^{82} +(3.08355 - 1.04672i) q^{83} +(-0.0603318 + 0.0358732i) q^{84} +(-5.26305 + 2.59545i) q^{85} +(0.727698 + 18.0120i) q^{86} +(12.6282 - 7.24938i) q^{87} +(-3.01188 + 0.775595i) q^{88} +(5.43036 - 2.24933i) q^{89} +(6.72783 - 1.12956i) q^{90} +(-0.0168531 - 0.0847263i) q^{91} +(-8.95936 + 10.5373i) q^{92} +(-4.24538 - 8.66261i) q^{93} +(-0.215991 + 1.37357i) q^{94} +(-5.17647 - 2.98863i) q^{95} +(9.77891 + 0.610737i) q^{96} +(-2.86071 + 1.65163i) q^{97} +(3.55770 + 9.23749i) q^{98} +(-1.04493 - 3.12893i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504 q - 8 q^{2} - 16 q^{3} - 8 q^{4} - 8 q^{5} - 16 q^{6} - 8 q^{7} - 32 q^{8} - 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1504 q - 8 q^{2} - 16 q^{3} - 8 q^{4} - 8 q^{5} - 16 q^{6} - 8 q^{7} - 32 q^{8} - 16 q^{9} - 32 q^{10} - 8 q^{11} - 16 q^{12} - 8 q^{13} - 8 q^{14} - 16 q^{15} - 8 q^{16} - 32 q^{17} - 16 q^{18} - 32 q^{19} - 8 q^{20} - 16 q^{21} - 8 q^{22} - 8 q^{23} + 64 q^{24} - 8 q^{25} - 32 q^{26} - 16 q^{27} - 32 q^{28} - 8 q^{29} - 96 q^{30} - 8 q^{32} - 8 q^{34} - 32 q^{35} - 96 q^{36} - 32 q^{37} - 8 q^{38} - 16 q^{39} - 8 q^{40} - 8 q^{41} + 64 q^{42} - 8 q^{43} - 32 q^{44} - 16 q^{45} - 32 q^{46} - 8 q^{47} - 16 q^{48} - 8 q^{49} - 8 q^{50} - 16 q^{51} - 8 q^{52} - 32 q^{53} - 16 q^{54} - 32 q^{55} - 8 q^{56} - 16 q^{57} - 80 q^{58} - 8 q^{59} - 16 q^{60} - 8 q^{61} - 64 q^{62} - 32 q^{63} - 32 q^{64} - 16 q^{65} - 32 q^{66} - 8 q^{67} - 8 q^{68} - 16 q^{69} - 8 q^{70} - 32 q^{71} - 16 q^{72} - 32 q^{73} - 8 q^{74} - 16 q^{75} + 40 q^{76} - 8 q^{77} - 40 q^{78} - 8 q^{79} - 160 q^{80} - 16 q^{81} - 32 q^{82} - 8 q^{83} - 128 q^{84} - 8 q^{85} - 216 q^{86} - 16 q^{87} - 8 q^{88} - 32 q^{89} - 160 q^{90} - 32 q^{91} + 144 q^{92} - 40 q^{93} - 8 q^{94} - 152 q^{96} - 304 q^{98} - 16 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.40630 0.149385i 0.994405 0.105631i
\(3\) 1.43777 + 0.965827i 0.830096 + 0.557621i
\(4\) 1.95537 0.420161i 0.977684 0.210080i
\(5\) 0.516861 1.52262i 0.231147 0.680938i −0.768031 0.640413i \(-0.778763\pi\)
0.999178 0.0405258i \(-0.0129033\pi\)
\(6\) 2.16622 + 1.14346i 0.884354 + 0.466817i
\(7\) −0.0123350 + 0.0160753i −0.00466219 + 0.00607589i −0.795679 0.605719i \(-0.792886\pi\)
0.791016 + 0.611795i \(0.209552\pi\)
\(8\) 2.68707 0.882976i 0.950023 0.312179i
\(9\) 1.13436 + 2.77727i 0.378119 + 0.925757i
\(10\) 0.499406 2.21848i 0.157926 0.701545i
\(11\) −1.09725 0.0719174i −0.330832 0.0216839i −0.100918 0.994895i \(-0.532178\pi\)
−0.229914 + 0.973211i \(0.573845\pi\)
\(12\) 3.21717 + 1.28445i 0.928717 + 0.370790i
\(13\) −2.81103 + 3.20536i −0.779639 + 0.889008i −0.996185 0.0872646i \(-0.972187\pi\)
0.216546 + 0.976272i \(0.430521\pi\)
\(14\) −0.0149453 + 0.0244494i −0.00399431 + 0.00653437i
\(15\) 2.21372 1.68998i 0.571580 0.436352i
\(16\) 3.64693 1.64314i 0.911732 0.410785i
\(17\) −2.58058 2.58058i −0.625882 0.625882i 0.321147 0.947029i \(-0.395932\pi\)
−0.947029 + 0.321147i \(0.895932\pi\)
\(18\) 2.01013 + 3.73623i 0.473792 + 0.880637i
\(19\) 0.725210 3.64588i 0.166375 0.836421i −0.803965 0.594676i \(-0.797280\pi\)
0.970340 0.241745i \(-0.0777197\pi\)
\(20\) 0.370907 3.19446i 0.0829374 0.714302i
\(21\) −0.0332608 + 0.0111991i −0.00725811 + 0.00244384i
\(22\) −1.55380 + 0.0627748i −0.331272 + 0.0133836i
\(23\) −5.48655 + 4.20998i −1.14403 + 0.877841i −0.993841 0.110817i \(-0.964653\pi\)
−0.150184 + 0.988658i \(0.547987\pi\)
\(24\) 4.71619 + 1.32573i 0.962688 + 0.270614i
\(25\) 1.91553 + 1.46984i 0.383105 + 0.293967i
\(26\) −3.47432 + 4.92763i −0.681370 + 0.966388i
\(27\) −1.05142 + 5.08866i −0.202346 + 0.979314i
\(28\) −0.0173653 + 0.0366158i −0.00328173 + 0.00691974i
\(29\) 3.71824 7.53985i 0.690460 1.40011i −0.215395 0.976527i \(-0.569104\pi\)
0.905855 0.423588i \(-0.139229\pi\)
\(30\) 2.86070 2.70732i 0.522290 0.494287i
\(31\) −4.82349 2.78484i −0.866324 0.500172i −0.000199064 1.00000i \(-0.500063\pi\)
−0.866125 + 0.499828i \(0.833397\pi\)
\(32\) 4.88322 2.85554i 0.863240 0.504794i
\(33\) −1.50813 1.16315i −0.262531 0.202479i
\(34\) −4.01457 3.24357i −0.688493 0.556268i
\(35\) 0.0181011 + 0.0270903i 0.00305965 + 0.00457909i
\(36\) 3.38498 + 4.95398i 0.564164 + 0.825663i
\(37\) −0.768663 3.86433i −0.126367 0.635292i −0.991107 0.133070i \(-0.957516\pi\)
0.864739 0.502221i \(-0.167484\pi\)
\(38\) 0.475224 5.23554i 0.0770916 0.849316i
\(39\) −7.13743 + 1.89360i −1.14290 + 0.303219i
\(40\) 0.0444034 4.54778i 0.00702080 0.719067i
\(41\) 2.09756 1.60952i 0.327584 0.251364i −0.431854 0.901943i \(-0.642141\pi\)
0.759438 + 0.650579i \(0.225474\pi\)
\(42\) −0.0451018 + 0.0207179i −0.00695936 + 0.00319685i
\(43\) −0.833681 + 12.7195i −0.127135 + 1.93971i 0.171178 + 0.985240i \(0.445243\pi\)
−0.298313 + 0.954468i \(0.596424\pi\)
\(44\) −2.17574 + 0.320395i −0.328005 + 0.0483014i
\(45\) 4.81505 0.291734i 0.717785 0.0434892i
\(46\) −7.08684 + 6.74011i −1.04490 + 0.993775i
\(47\) −0.254470 + 0.949695i −0.0371183 + 0.138527i −0.981998 0.188889i \(-0.939511\pi\)
0.944880 + 0.327416i \(0.106178\pi\)
\(48\) 6.83043 + 1.15985i 0.985887 + 0.167410i
\(49\) 1.81163 + 6.76108i 0.258804 + 0.965869i
\(50\) 2.91338 + 1.78088i 0.412014 + 0.251855i
\(51\) −1.21788 6.20266i −0.170537 0.868547i
\(52\) −4.14983 + 7.44875i −0.575477 + 1.03296i
\(53\) −5.06067 + 7.57383i −0.695137 + 1.04035i 0.301093 + 0.953595i \(0.402648\pi\)
−0.996230 + 0.0867509i \(0.972352\pi\)
\(54\) −0.718447 + 7.31326i −0.0977682 + 0.995209i
\(55\) −0.676628 + 1.63352i −0.0912365 + 0.220264i
\(56\) −0.0189510 + 0.0540870i −0.00253243 + 0.00722768i
\(57\) 4.56397 4.54150i 0.604512 0.601536i
\(58\) 4.10263 11.1587i 0.538701 1.46522i
\(59\) 2.18648 6.44117i 0.284656 0.838569i −0.706717 0.707496i \(-0.749825\pi\)
0.991373 0.131072i \(-0.0418421\pi\)
\(60\) 3.61857 4.23466i 0.467156 0.546692i
\(61\) −9.00400 4.44028i −1.15284 0.568520i −0.237578 0.971369i \(-0.576353\pi\)
−0.915267 + 0.402849i \(0.868020\pi\)
\(62\) −7.19929 3.19577i −0.914311 0.405863i
\(63\) −0.0586377 0.0160226i −0.00738766 0.00201865i
\(64\) 6.44071 4.74524i 0.805089 0.593155i
\(65\) 3.42765 + 5.93687i 0.425148 + 0.736378i
\(66\) −2.29464 1.41045i −0.282451 0.173614i
\(67\) 0.571757 + 8.72333i 0.0698513 + 1.06572i 0.878596 + 0.477565i \(0.158481\pi\)
−0.808745 + 0.588159i \(0.799853\pi\)
\(68\) −6.13024 3.96172i −0.743400 0.480429i
\(69\) −11.9545 + 0.753915i −1.43915 + 0.0907607i
\(70\) 0.0295026 + 0.0353931i 0.00352623 + 0.00423028i
\(71\) −0.699528 1.68881i −0.0830187 0.200425i 0.876919 0.480638i \(-0.159595\pi\)
−0.959938 + 0.280213i \(0.909595\pi\)
\(72\) 5.50036 + 6.46112i 0.648224 + 0.761450i
\(73\) 2.18322 5.27076i 0.255527 0.616896i −0.743106 0.669174i \(-0.766648\pi\)
0.998633 + 0.0522776i \(0.0166481\pi\)
\(74\) −1.65824 5.31958i −0.192767 0.618389i
\(75\) 1.33448 + 3.96335i 0.154092 + 0.457648i
\(76\) −0.113802 7.43373i −0.0130540 0.852708i
\(77\) 0.0146906 0.0167515i 0.00167415 0.00190901i
\(78\) −9.75451 + 3.72920i −1.10448 + 0.422249i
\(79\) −6.44604 1.72721i −0.725236 0.194326i −0.122729 0.992440i \(-0.539165\pi\)
−0.602507 + 0.798114i \(0.705831\pi\)
\(80\) −0.616925 6.40218i −0.0689743 0.715785i
\(81\) −6.42647 + 6.30083i −0.714052 + 0.700092i
\(82\) 2.70937 2.57681i 0.299200 0.284561i
\(83\) 3.08355 1.04672i 0.338463 0.114893i −0.147033 0.989132i \(-0.546972\pi\)
0.485496 + 0.874239i \(0.338639\pi\)
\(84\) −0.0603318 + 0.0358732i −0.00658274 + 0.00391409i
\(85\) −5.26305 + 2.59545i −0.570858 + 0.281516i
\(86\) 0.727698 + 18.0120i 0.0784697 + 1.94229i
\(87\) 12.6282 7.24938i 1.35388 0.777215i
\(88\) −3.01188 + 0.775595i −0.321068 + 0.0826787i
\(89\) 5.43036 2.24933i 0.575617 0.238428i −0.0758323 0.997121i \(-0.524161\pi\)
0.651449 + 0.758692i \(0.274161\pi\)
\(90\) 6.72783 1.12956i 0.709175 0.119066i
\(91\) −0.0168531 0.0847263i −0.00176669 0.00888173i
\(92\) −8.95936 + 10.5373i −0.934078 + 1.09859i
\(93\) −4.24538 8.66261i −0.440226 0.898271i
\(94\) −0.215991 + 1.37357i −0.0222778 + 0.141673i
\(95\) −5.17647 2.98863i −0.531094 0.306627i
\(96\) 9.77891 + 0.610737i 0.998055 + 0.0623331i
\(97\) −2.86071 + 1.65163i −0.290461 + 0.167698i −0.638150 0.769912i \(-0.720300\pi\)
0.347689 + 0.937610i \(0.386967\pi\)
\(98\) 3.55770 + 9.23749i 0.359382 + 0.933128i
\(99\) −1.04493 3.12893i −0.105020 0.314470i
\(100\) 4.36313 + 2.06924i 0.436313 + 0.206924i
\(101\) 10.0860 8.84517i 1.00359 0.880127i 0.0107965 0.999942i \(-0.496563\pi\)
0.992796 + 0.119814i \(0.0382300\pi\)
\(102\) −2.63929 8.54088i −0.261329 0.845673i
\(103\) −0.162778 + 1.23642i −0.0160390 + 0.121828i −0.997591 0.0693655i \(-0.977903\pi\)
0.981552 + 0.191194i \(0.0612359\pi\)
\(104\) −4.72318 + 11.0951i −0.463146 + 1.08797i
\(105\) −0.000139269 0.0564321i −1.35912e−5 0.00550721i
\(106\) −5.98541 + 11.4071i −0.581355 + 1.10795i
\(107\) −0.488957 0.326711i −0.0472693 0.0315843i 0.531711 0.846926i \(-0.321549\pi\)
−0.578980 + 0.815341i \(0.696549\pi\)
\(108\) 0.0821396 + 10.3920i 0.00790389 + 0.999969i
\(109\) 2.06931 10.4031i 0.198204 0.996437i −0.745717 0.666263i \(-0.767893\pi\)
0.943920 0.330174i \(-0.107107\pi\)
\(110\) −0.707519 + 2.39830i −0.0674592 + 0.228669i
\(111\) 2.62711 6.29840i 0.249355 0.597818i
\(112\) −0.0185710 + 0.0788936i −0.00175479 + 0.00745474i
\(113\) −5.24873 19.5885i −0.493759 1.84273i −0.536873 0.843663i \(-0.680395\pi\)
0.0431143 0.999070i \(-0.486272\pi\)
\(114\) 5.73988 7.06850i 0.537589 0.662026i
\(115\) 3.57443 + 10.5299i 0.333317 + 0.981921i
\(116\) 4.10258 16.3054i 0.380915 1.51392i
\(117\) −12.0909 4.17096i −1.11780 0.385606i
\(118\) 2.11264 9.38485i 0.194484 0.863946i
\(119\) 0.0733150 0.00965210i 0.00672077 0.000884807i
\(120\) 4.45621 6.49576i 0.406794 0.592979i
\(121\) −9.70711 1.27797i −0.882465 0.116179i
\(122\) −13.3257 4.89931i −1.20645 0.443563i
\(123\) 4.57032 0.288229i 0.412092 0.0259887i
\(124\) −10.6018 3.41875i −0.952068 0.307013i
\(125\) 9.91291 6.62360i 0.886638 0.592433i
\(126\) −0.0848559 0.0137729i −0.00755956 0.00122699i
\(127\) 4.87617 0.432690 0.216345 0.976317i \(-0.430586\pi\)
0.216345 + 0.976317i \(0.430586\pi\)
\(128\) 8.34871 7.63538i 0.737929 0.674879i
\(129\) −13.4835 + 17.4825i −1.18716 + 1.53925i
\(130\) 5.70719 + 7.83699i 0.500554 + 0.687349i
\(131\) 0.795716 + 12.1403i 0.0695221 + 1.06070i 0.880013 + 0.474950i \(0.157534\pi\)
−0.810491 + 0.585752i \(0.800799\pi\)
\(132\) −3.43765 1.64073i −0.299209 0.142807i
\(133\) 0.0496631 + 0.0566299i 0.00430633 + 0.00491043i
\(134\) 2.10720 + 12.1822i 0.182034 + 1.05238i
\(135\) 7.20469 + 4.23106i 0.620081 + 0.364151i
\(136\) −9.21278 4.65561i −0.789990 0.399215i
\(137\) −6.50570 + 0.856491i −0.555819 + 0.0731750i −0.403203 0.915111i \(-0.632103\pi\)
−0.152616 + 0.988286i \(0.548770\pi\)
\(138\) −16.6990 + 2.84606i −1.42151 + 0.242272i
\(139\) 1.68661 + 3.42011i 0.143056 + 0.290090i 0.956595 0.291422i \(-0.0941283\pi\)
−0.813538 + 0.581511i \(0.802462\pi\)
\(140\) 0.0467767 + 0.0453661i 0.00395335 + 0.00383413i
\(141\) −1.28311 + 1.11967i −0.108057 + 0.0942931i
\(142\) −1.23603 2.27048i −0.103725 0.190534i
\(143\) 3.31491 3.31491i 0.277207 0.277207i
\(144\) 8.70036 + 8.26461i 0.725030 + 0.688717i
\(145\) −9.55854 9.55854i −0.793794 0.793794i
\(146\) 2.28290 7.73843i 0.188934 0.640437i
\(147\) −3.92534 + 11.4706i −0.323756 + 0.946078i
\(148\) −3.12666 7.23322i −0.257010 0.594567i
\(149\) 14.0298 6.91872i 1.14936 0.566804i 0.235120 0.971966i \(-0.424452\pi\)
0.914245 + 0.405162i \(0.132785\pi\)
\(150\) 2.46874 + 5.37432i 0.201572 + 0.438811i
\(151\) 1.77195 + 13.4593i 0.144199 + 1.09530i 0.898562 + 0.438846i \(0.144613\pi\)
−0.754363 + 0.656458i \(0.772054\pi\)
\(152\) −1.27053 10.4371i −0.103053 0.846558i
\(153\) 4.23967 10.0943i 0.342757 0.816072i
\(154\) 0.0181571 0.0257522i 0.00146314 0.00207517i
\(155\) −6.73334 + 5.90498i −0.540835 + 0.474300i
\(156\) −13.1607 + 6.70156i −1.05370 + 0.536554i
\(157\) 15.8372 1.03803i 1.26395 0.0828436i 0.581360 0.813647i \(-0.302521\pi\)
0.682588 + 0.730803i \(0.260854\pi\)
\(158\) −9.32309 1.46604i −0.741705 0.116632i
\(159\) −14.5911 + 6.00168i −1.15715 + 0.475964i
\(160\) −1.82397 8.91124i −0.144198 0.704495i
\(161\) 0.140128i 0.0110436i
\(162\) −8.09631 + 9.82089i −0.636106 + 0.771602i
\(163\) 4.87223 + 7.29181i 0.381623 + 0.571139i 0.971703 0.236206i \(-0.0759040\pi\)
−0.590080 + 0.807344i \(0.700904\pi\)
\(164\) 3.42525 4.02851i 0.267467 0.314574i
\(165\) −2.55054 + 1.69512i −0.198559 + 0.131965i
\(166\) 4.18003 1.93264i 0.324434 0.150002i
\(167\) −0.632330 + 4.80303i −0.0489312 + 0.371669i 0.949407 + 0.314047i \(0.101685\pi\)
−0.998338 + 0.0576219i \(0.981648\pi\)
\(168\) −0.0794858 + 0.0594612i −0.00613246 + 0.00458753i
\(169\) −0.675634 5.13195i −0.0519718 0.394765i
\(170\) −7.01372 + 4.43621i −0.537927 + 0.340241i
\(171\) 10.9482 2.12162i 0.837232 0.162244i
\(172\) 3.71409 + 25.2216i 0.283197 + 1.92313i
\(173\) −2.31758 + 0.786712i −0.176202 + 0.0598126i −0.408146 0.912917i \(-0.633825\pi\)
0.231944 + 0.972729i \(0.425491\pi\)
\(174\) 16.6761 12.0813i 1.26421 0.915879i
\(175\) −0.0472561 + 0.0126622i −0.00357222 + 0.000957175i
\(176\) −4.11975 + 1.54065i −0.310538 + 0.116131i
\(177\) 9.36471 7.14915i 0.703895 0.537363i
\(178\) 7.30071 3.97445i 0.547211 0.297897i
\(179\) 7.62612 + 1.51693i 0.570003 + 0.113381i 0.471673 0.881773i \(-0.343650\pi\)
0.0983293 + 0.995154i \(0.468650\pi\)
\(180\) 9.29261 2.59354i 0.692630 0.193311i
\(181\) −11.1652 + 16.7099i −0.829901 + 1.24203i 0.137932 + 0.990442i \(0.455954\pi\)
−0.967833 + 0.251593i \(0.919046\pi\)
\(182\) −0.0363574 0.116633i −0.00269499 0.00864542i
\(183\) −8.65713 15.0804i −0.639953 1.11478i
\(184\) −11.0255 + 16.1570i −0.812807 + 1.19111i
\(185\) −6.28121 0.826937i −0.461804 0.0607976i
\(186\) −7.26435 11.5480i −0.532648 0.846744i
\(187\) 2.64594 + 3.01712i 0.193490 + 0.220634i
\(188\) −0.0985580 + 1.96392i −0.00718808 + 0.143234i
\(189\) −0.0688325 0.0796706i −0.00500683 0.00579519i
\(190\) −7.72613 3.42963i −0.560512 0.248812i
\(191\) −6.45678 11.1835i −0.467196 0.809208i 0.532101 0.846681i \(-0.321403\pi\)
−0.999298 + 0.0374729i \(0.988069\pi\)
\(192\) 13.8433 0.601941i 0.999056 0.0434414i
\(193\) −9.71263 + 16.8228i −0.699131 + 1.21093i 0.269638 + 0.962962i \(0.413096\pi\)
−0.968768 + 0.247968i \(0.920237\pi\)
\(194\) −3.77629 + 2.75004i −0.271122 + 0.197441i
\(195\) −0.805818 + 11.8464i −0.0577058 + 0.848336i
\(196\) 6.38314 + 12.4592i 0.455939 + 0.889945i
\(197\) 16.0569 3.19391i 1.14400 0.227556i 0.413525 0.910493i \(-0.364297\pi\)
0.730478 + 0.682936i \(0.239297\pi\)
\(198\) −1.93691 4.24412i −0.137650 0.301617i
\(199\) 2.65524 + 6.41031i 0.188225 + 0.454415i 0.989618 0.143723i \(-0.0459075\pi\)
−0.801393 + 0.598138i \(0.795908\pi\)
\(200\) 6.44499 + 2.25819i 0.455729 + 0.159678i
\(201\) −7.60317 + 13.0943i −0.536287 + 0.923604i
\(202\) 12.8626 13.9457i 0.905009 0.981214i
\(203\) 0.0753407 + 0.152776i 0.00528788 + 0.0107228i
\(204\) −4.98752 11.6168i −0.349196 0.813338i
\(205\) −1.36654 4.02570i −0.0954433 0.281167i
\(206\) −0.0442120 + 1.76310i −0.00308040 + 0.122841i
\(207\) −17.9160 10.4620i −1.24525 0.727161i
\(208\) −4.98477 + 16.3086i −0.345631 + 1.13080i
\(209\) −1.05794 + 3.94827i −0.0731789 + 0.273108i
\(210\) 0.00823426 + 0.0793814i 0.000568218 + 0.00547784i
\(211\) 9.64218 + 8.45597i 0.663795 + 0.582133i 0.923520 0.383550i \(-0.125299\pi\)
−0.259725 + 0.965683i \(0.583632\pi\)
\(212\) −6.71325 + 16.9359i −0.461068 + 1.16316i
\(213\) 0.625339 3.10374i 0.0428475 0.212665i
\(214\) −0.736427 0.386411i −0.0503411 0.0264145i
\(215\) 18.9362 + 7.84361i 1.29143 + 0.534930i
\(216\) 1.66792 + 14.6020i 0.113488 + 0.993539i
\(217\) 0.104265 0.0431879i 0.00707796 0.00293179i
\(218\) 1.35600 14.9390i 0.0918400 1.01180i
\(219\) 8.22962 5.46952i 0.556106 0.369596i
\(220\) −0.636714 + 3.47843i −0.0429272 + 0.234516i
\(221\) 15.5258 1.01761i 1.04438 0.0684520i
\(222\) 2.75363 9.24991i 0.184811 0.620813i
\(223\) −11.1080 + 6.41319i −0.743844 + 0.429459i −0.823465 0.567366i \(-0.807962\pi\)
0.0796210 + 0.996825i \(0.474629\pi\)
\(224\) −0.0143309 + 0.113722i −0.000957522 + 0.00759840i
\(225\) −1.90924 + 6.98726i −0.127283 + 0.465817i
\(226\) −10.3075 26.7633i −0.685647 1.78027i
\(227\) 11.5835 23.4890i 0.768824 1.55902i −0.0591470 0.998249i \(-0.518838\pi\)
0.827971 0.560771i \(-0.189495\pi\)
\(228\) 7.01608 10.7979i 0.464651 0.715108i
\(229\) −4.75267 1.61332i −0.314065 0.106611i 0.159956 0.987124i \(-0.448865\pi\)
−0.474021 + 0.880513i \(0.657198\pi\)
\(230\) 6.59974 + 14.2743i 0.435174 + 0.941219i
\(231\) 0.0373008 0.00989611i 0.00245421 0.000651116i
\(232\) 3.33368 23.5432i 0.218867 1.54569i
\(233\) 13.0510 + 5.40589i 0.854998 + 0.354152i 0.766749 0.641947i \(-0.221873\pi\)
0.0882486 + 0.996098i \(0.471873\pi\)
\(234\) −17.6265 4.05944i −1.15228 0.265374i
\(235\) 1.31450 + 0.878323i 0.0857488 + 0.0572955i
\(236\) 1.56905 13.5135i 0.102137 0.879656i
\(237\) −7.59972 8.70908i −0.493655 0.565716i
\(238\) 0.101661 0.0245259i 0.00658971 0.00158978i
\(239\) −6.78175 + 1.81716i −0.438675 + 0.117543i −0.471395 0.881922i \(-0.656250\pi\)
0.0327206 + 0.999465i \(0.489583\pi\)
\(240\) 5.29640 9.80069i 0.341881 0.632632i
\(241\) −1.18583 0.317742i −0.0763861 0.0204676i 0.220424 0.975404i \(-0.429256\pi\)
−0.296810 + 0.954937i \(0.595923\pi\)
\(242\) −13.8420 0.347108i −0.889800 0.0223129i
\(243\) −15.3253 + 2.85227i −0.983118 + 0.182973i
\(244\) −19.4718 4.89926i −1.24655 0.313643i
\(245\) 11.2310 + 0.736116i 0.717519 + 0.0470287i
\(246\) 6.38419 1.08807i 0.407041 0.0693731i
\(247\) 9.64777 + 12.5732i 0.613873 + 0.800015i
\(248\) −15.4200 3.22405i −0.979171 0.204727i
\(249\) 5.44438 + 1.47323i 0.345024 + 0.0933620i
\(250\) 12.9511 10.7956i 0.819098 0.682775i
\(251\) 16.1214 3.20675i 1.01758 0.202408i 0.342001 0.939700i \(-0.388896\pi\)
0.675575 + 0.737291i \(0.263896\pi\)
\(252\) −0.121390 0.00669271i −0.00764688 0.000421601i
\(253\) 6.32287 4.22481i 0.397516 0.265611i
\(254\) 6.85736 0.728427i 0.430269 0.0457055i
\(255\) −10.0738 1.35154i −0.630846 0.0846368i
\(256\) 10.6002 11.9848i 0.662512 0.749051i
\(257\) 0.313533 0.543055i 0.0195576 0.0338748i −0.856081 0.516842i \(-0.827108\pi\)
0.875639 + 0.482967i \(0.160441\pi\)
\(258\) −16.3502 + 26.5999i −1.01792 + 1.65604i
\(259\) 0.0716017 + 0.0353100i 0.00444911 + 0.00219406i
\(260\) 9.19676 + 10.1686i 0.570359 + 0.630630i
\(261\) 25.1580 + 1.77369i 1.55724 + 0.109789i
\(262\) 2.93259 + 16.9540i 0.181176 + 1.04742i
\(263\) −16.0646 + 20.9358i −0.990584 + 1.29095i −0.0340236 + 0.999421i \(0.510832\pi\)
−0.956561 + 0.291533i \(0.905835\pi\)
\(264\) −5.07948 1.79383i −0.312620 0.110403i
\(265\) 8.91643 + 11.6201i 0.547732 + 0.713818i
\(266\) 0.0783009 + 0.0722197i 0.00480094 + 0.00442808i
\(267\) 9.98006 + 2.01077i 0.610770 + 0.123057i
\(268\) 4.78320 + 16.8171i 0.292180 + 1.02727i
\(269\) 5.04585 + 1.00368i 0.307651 + 0.0611956i 0.346501 0.938049i \(-0.387370\pi\)
−0.0388504 + 0.999245i \(0.512370\pi\)
\(270\) 10.7640 + 4.87387i 0.655077 + 0.296614i
\(271\) 10.3748 10.3748i 0.630225 0.630225i −0.317900 0.948124i \(-0.602978\pi\)
0.948124 + 0.317900i \(0.102978\pi\)
\(272\) −13.6514 5.17094i −0.827739 0.313534i
\(273\) 0.0576001 0.138094i 0.00348612 0.00835783i
\(274\) −9.02103 + 2.17634i −0.544980 + 0.131477i
\(275\) −1.99610 1.75053i −0.120369 0.105561i
\(276\) −23.0587 + 6.49700i −1.38797 + 0.391073i
\(277\) 1.40847 21.4890i 0.0846265 1.29115i −0.718577 0.695447i \(-0.755206\pi\)
0.803204 0.595704i \(-0.203127\pi\)
\(278\) 2.88280 + 4.55775i 0.172899 + 0.273356i
\(279\) 2.26271 16.5551i 0.135465 0.991130i
\(280\) 0.0725591 + 0.0568107i 0.00433624 + 0.00339509i
\(281\) 10.8179 + 8.30086i 0.645341 + 0.495188i 0.878807 0.477177i \(-0.158340\pi\)
−0.233466 + 0.972365i \(0.575007\pi\)
\(282\) −1.63718 + 1.76627i −0.0974926 + 0.105180i
\(283\) −11.5397 3.91719i −0.685961 0.232853i −0.0433672 0.999059i \(-0.513809\pi\)
−0.642594 + 0.766207i \(0.722142\pi\)
\(284\) −2.07741 3.00833i −0.123271 0.178512i
\(285\) −4.55606 9.29653i −0.269877 0.550679i
\(286\) 4.16657 5.15697i 0.246374 0.304938i
\(287\) 0.0535723i 0.00316227i
\(288\) 13.4699 + 10.3228i 0.793724 + 0.608279i
\(289\) 3.68124i 0.216544i
\(290\) −14.8701 12.0143i −0.873202 0.705503i
\(291\) −5.70823 0.388287i −0.334622 0.0227618i
\(292\) 2.05443 11.2236i 0.120227 0.656811i
\(293\) 9.65683 + 3.27805i 0.564158 + 0.191506i 0.588925 0.808187i \(-0.299551\pi\)
−0.0247675 + 0.999693i \(0.507885\pi\)
\(294\) −3.80667 + 16.7175i −0.222010 + 0.974984i
\(295\) −8.67737 6.65838i −0.505216 0.387666i
\(296\) −5.47756 9.70502i −0.318377 0.564093i
\(297\) 1.51963 5.50791i 0.0881781 0.319601i
\(298\) 18.6966 11.8257i 1.08306 0.685042i
\(299\) 1.92834 29.4208i 0.111519 1.70145i
\(300\) 4.27464 + 7.18912i 0.246796 + 0.415064i
\(301\) −0.194187 0.170297i −0.0111927 0.00981576i
\(302\) 4.50252 + 18.6632i 0.259091 + 1.07394i
\(303\) 23.0442 2.97599i 1.32386 0.170966i
\(304\) −3.34589 14.4879i −0.191900 0.830936i
\(305\) −11.4147 + 11.4147i −0.653604 + 0.653604i
\(306\) 4.45432 14.8289i 0.254637 0.847713i
\(307\) 26.2133 + 5.21415i 1.49607 + 0.297587i 0.874214 0.485542i \(-0.161378\pi\)
0.621859 + 0.783129i \(0.286378\pi\)
\(308\) 0.0216873 0.0389277i 0.00123575 0.00221811i
\(309\) −1.42821 + 1.62047i −0.0812478 + 0.0921854i
\(310\) −8.58699 + 9.31005i −0.487709 + 0.528775i
\(311\) 2.07507 + 2.70429i 0.117667 + 0.153346i 0.848473 0.529239i \(-0.177522\pi\)
−0.730806 + 0.682585i \(0.760856\pi\)
\(312\) −17.5068 + 11.3904i −0.991127 + 0.644856i
\(313\) 16.6740 21.7300i 0.942471 1.22825i −0.0310185 0.999519i \(-0.509875\pi\)
0.973489 0.228733i \(-0.0734582\pi\)
\(314\) 22.1169 3.82562i 1.24813 0.215892i
\(315\) −0.0547039 + 0.0810018i −0.00308222 + 0.00456394i
\(316\) −13.3301 0.668960i −0.749876 0.0376320i
\(317\) −10.5525 5.20390i −0.592686 0.292280i 0.121104 0.992640i \(-0.461356\pi\)
−0.713790 + 0.700359i \(0.753023\pi\)
\(318\) −19.6229 + 10.6199i −1.10040 + 0.595532i
\(319\) −4.62207 + 8.00567i −0.258786 + 0.448231i
\(320\) −3.89626 12.2594i −0.217808 0.685322i
\(321\) −0.387461 0.941983i −0.0216260 0.0525764i
\(322\) −0.0209330 0.197062i −0.00116655 0.0109819i
\(323\) −11.2799 + 7.53700i −0.627632 + 0.419370i
\(324\) −9.91876 + 15.0206i −0.551042 + 0.834477i
\(325\) −10.0960 + 2.00821i −0.560023 + 0.111395i
\(326\) 7.94111 + 9.52664i 0.439818 + 0.527632i
\(327\) 13.0228 12.9587i 0.720162 0.716616i
\(328\) 4.21514 6.17698i 0.232742 0.341067i
\(329\) −0.0121277 0.0158052i −0.000668624 0.000871368i
\(330\) −3.33360 + 2.76487i −0.183508 + 0.152201i
\(331\) 12.7056 + 0.832770i 0.698364 + 0.0457732i 0.410450 0.911883i \(-0.365372\pi\)
0.287914 + 0.957656i \(0.407038\pi\)
\(332\) 5.58968 3.34232i 0.306774 0.183433i
\(333\) 9.86035 6.51831i 0.540344 0.357201i
\(334\) −0.171747 + 6.84896i −0.00939758 + 0.374759i
\(335\) 13.5779 + 3.63818i 0.741839 + 0.198775i
\(336\) −0.102898 + 0.0954944i −0.00561356 + 0.00520964i
\(337\) −0.372003 + 0.0996778i −0.0202643 + 0.00542980i −0.268937 0.963158i \(-0.586672\pi\)
0.248673 + 0.968588i \(0.420006\pi\)
\(338\) −1.71678 7.11614i −0.0933806 0.387067i
\(339\) 11.3727 33.2331i 0.617679 1.80498i
\(340\) −9.20070 + 7.28639i −0.498978 + 0.395160i
\(341\) 5.09228 + 3.40255i 0.275762 + 0.184258i
\(342\) 15.0796 4.61914i 0.815410 0.249774i
\(343\) −0.262073 0.108554i −0.0141506 0.00586138i
\(344\) 8.99086 + 34.9144i 0.484755 + 1.88246i
\(345\) −5.03089 + 18.5919i −0.270854 + 1.00095i
\(346\) −3.14169 + 1.45257i −0.168898 + 0.0780904i
\(347\) −2.33488 0.792584i −0.125343 0.0425481i 0.258063 0.966128i \(-0.416916\pi\)
−0.383406 + 0.923580i \(0.625249\pi\)
\(348\) 21.6468 19.4811i 1.16039 1.04429i
\(349\) 3.43184 6.95907i 0.183702 0.372511i −0.785469 0.618901i \(-0.787578\pi\)
0.969171 + 0.246391i \(0.0792447\pi\)
\(350\) −0.0645648 + 0.0248663i −0.00345113 + 0.00132916i
\(351\) −13.3554 17.6746i −0.712861 0.943399i
\(352\) −5.56346 + 2.78205i −0.296534 + 0.148284i
\(353\) −19.0243 + 10.9837i −1.01256 + 0.584603i −0.911941 0.410321i \(-0.865417\pi\)
−0.100622 + 0.994925i \(0.532083\pi\)
\(354\) 12.1016 11.4528i 0.643194 0.608710i
\(355\) −2.93298 + 0.192238i −0.155667 + 0.0102029i
\(356\) 9.67327 6.67989i 0.512682 0.354033i
\(357\) 0.114732 + 0.0569321i 0.00607227 + 0.00301317i
\(358\) 10.9512 + 0.994032i 0.578790 + 0.0525362i
\(359\) −15.2792 + 6.32885i −0.806405 + 0.334024i −0.747519 0.664241i \(-0.768755\pi\)
−0.0588866 + 0.998265i \(0.518755\pi\)
\(360\) 12.6808 5.03548i 0.668336 0.265393i
\(361\) 4.78723 + 1.98294i 0.251960 + 0.104365i
\(362\) −13.2054 + 25.1670i −0.694060 + 1.32275i
\(363\) −12.7223 11.2128i −0.667747 0.588520i
\(364\) −0.0685527 0.158590i −0.00359314 0.00831238i
\(365\) −6.89697 6.04848i −0.361004 0.316592i
\(366\) −14.4273 19.9144i −0.754128 1.04094i
\(367\) 2.66785 9.95654i 0.139261 0.519727i −0.860683 0.509140i \(-0.829963\pi\)
0.999944 0.0105869i \(-0.00336997\pi\)
\(368\) −13.0915 + 24.3687i −0.682441 + 1.27030i
\(369\) 6.84944 + 3.99973i 0.356568 + 0.208218i
\(370\) −8.95681 0.224604i −0.465642 0.0116766i
\(371\) −0.0593281 0.174775i −0.00308016 0.00907387i
\(372\) −11.9410 15.1549i −0.619111 0.785743i
\(373\) 13.8293 + 28.0431i 0.716055 + 1.45202i 0.884614 + 0.466324i \(0.154422\pi\)
−0.168559 + 0.985692i \(0.553911\pi\)
\(374\) 4.17170 + 3.84771i 0.215714 + 0.198961i
\(375\) 20.6497 + 0.0509614i 1.06635 + 0.00263163i
\(376\) 0.154778 + 2.77659i 0.00798208 + 0.143192i
\(377\) 13.7159 + 33.1130i 0.706403 + 1.70541i
\(378\) −0.108701 0.101758i −0.00559097 0.00523389i
\(379\) 26.8584 5.34246i 1.37962 0.274424i 0.551128 0.834421i \(-0.314198\pi\)
0.828495 + 0.559997i \(0.189198\pi\)
\(380\) −11.3776 3.66893i −0.583659 0.188212i
\(381\) 7.01080 + 4.70954i 0.359174 + 0.241277i
\(382\) −10.7508 14.7628i −0.550060 0.755330i
\(383\) −13.3465 + 23.1168i −0.681975 + 1.18122i 0.292402 + 0.956295i \(0.405545\pi\)
−0.974377 + 0.224920i \(0.927788\pi\)
\(384\) 19.3780 2.91450i 0.988878 0.148730i
\(385\) −0.0179132 0.0310265i −0.000912939 0.00158126i
\(386\) −11.1458 + 25.1088i −0.567307 + 1.27800i
\(387\) −36.2712 + 12.1131i −1.84377 + 0.615744i
\(388\) −4.89979 + 4.43151i −0.248749 + 0.224976i
\(389\) −12.8566 14.6601i −0.651854 0.743297i 0.327633 0.944805i \(-0.393749\pi\)
−0.979487 + 0.201508i \(0.935416\pi\)
\(390\) 0.636447 + 16.7799i 0.0322277 + 0.849685i
\(391\) 25.0227 + 3.29429i 1.26545 + 0.166600i
\(392\) 10.8378 + 16.5679i 0.547394 + 0.836805i
\(393\) −10.5814 + 18.2234i −0.533759 + 0.919251i
\(394\) 22.1037 6.89025i 1.11357 0.347126i
\(395\) −5.96160 + 8.92216i −0.299961 + 0.448923i
\(396\) −3.35789 5.67917i −0.168740 0.285389i
\(397\) 30.3691 + 6.04079i 1.52418 + 0.303179i 0.884895 0.465790i \(-0.154230\pi\)
0.639286 + 0.768969i \(0.279230\pi\)
\(398\) 4.69167 + 8.61817i 0.235172 + 0.431990i
\(399\) 0.0167093 + 0.129387i 0.000836512 + 0.00647743i
\(400\) 9.40094 + 2.21291i 0.470047 + 0.110646i
\(401\) −7.77868 + 2.08429i −0.388448 + 0.104084i −0.447757 0.894155i \(-0.647777\pi\)
0.0593086 + 0.998240i \(0.481110\pi\)
\(402\) −8.73626 + 19.5504i −0.435725 + 0.975085i
\(403\) 22.4854 7.63276i 1.12008 0.380215i
\(404\) 16.0054 21.5333i 0.796299 1.07132i
\(405\) 6.27220 + 13.0418i 0.311668 + 0.648050i
\(406\) 0.128774 + 0.203594i 0.00639096 + 0.0101042i
\(407\) 0.565500 + 4.29540i 0.0280308 + 0.212915i
\(408\) −8.74933 15.5916i −0.433157 0.771901i
\(409\) 5.11453 38.8487i 0.252897 1.92094i −0.119429 0.992843i \(-0.538106\pi\)
0.372326 0.928102i \(-0.378560\pi\)
\(410\) −2.52315 5.45720i −0.124609 0.269512i
\(411\) −10.1809 5.05194i −0.502187 0.249194i
\(412\) 0.201205 + 2.48605i 0.00991265 + 0.122479i
\(413\) 0.0765734 + 0.114600i 0.00376793 + 0.00563911i
\(414\) −26.7581 12.0364i −1.31509 0.591556i
\(415\) 5.23610i 0.257030i
\(416\) −4.57382 + 23.6795i −0.224250 + 1.16098i
\(417\) −0.878277 + 6.54630i −0.0430094 + 0.320573i
\(418\) −0.897964 + 5.71050i −0.0439209 + 0.279310i
\(419\) −36.8538 + 2.41552i −1.80042 + 0.118006i −0.928430 0.371508i \(-0.878841\pi\)
−0.871995 + 0.489514i \(0.837174\pi\)
\(420\) 0.0234382 + 0.110404i 0.00114367 + 0.00538717i
\(421\) −11.6665 + 10.2313i −0.568592 + 0.498642i −0.894686 0.446695i \(-0.852601\pi\)
0.326094 + 0.945337i \(0.394267\pi\)
\(422\) 14.8230 + 10.4512i 0.721573 + 0.508759i
\(423\) −2.92622 + 0.370560i −0.142278 + 0.0180173i
\(424\) −6.91088 + 24.8199i −0.335622 + 1.20536i
\(425\) −1.15014 8.73619i −0.0557900 0.423767i
\(426\) 0.415763 4.45821i 0.0201438 0.216001i
\(427\) 0.182443 0.0899711i 0.00882905 0.00435401i
\(428\) −1.09336 0.433399i −0.0528497 0.0209492i
\(429\) 7.96771 1.56444i 0.384685 0.0755321i
\(430\) 27.8017 + 8.20171i 1.34072 + 0.395521i
\(431\) −17.9480 17.9480i −0.864524 0.864524i 0.127336 0.991860i \(-0.459357\pi\)
−0.991860 + 0.127336i \(0.959357\pi\)
\(432\) 4.52692 + 20.2856i 0.217801 + 0.975993i
\(433\) 7.96022 7.96022i 0.382544 0.382544i −0.489474 0.872018i \(-0.662811\pi\)
0.872018 + 0.489474i \(0.162811\pi\)
\(434\) 0.140176 0.0763109i 0.00672868 0.00366304i
\(435\) −4.51107 22.9749i −0.216289 1.10156i
\(436\) −0.324721 21.2114i −0.0155513 1.01584i
\(437\) 11.3702 + 23.0564i 0.543909 + 1.10294i
\(438\) 10.7563 8.92118i 0.513954 0.426271i
\(439\) −27.5910 + 3.63243i −1.31685 + 0.173366i −0.756010 0.654560i \(-0.772854\pi\)
−0.560838 + 0.827926i \(0.689521\pi\)
\(440\) −0.375786 + 4.98684i −0.0179149 + 0.237738i
\(441\) −16.7223 + 12.7009i −0.796302 + 0.604803i
\(442\) 21.6819 3.75039i 1.03130 0.178388i
\(443\) −4.97675 5.67490i −0.236453 0.269623i 0.621428 0.783471i \(-0.286553\pi\)
−0.857881 + 0.513848i \(0.828219\pi\)
\(444\) 2.49063 13.4195i 0.118200 0.636862i
\(445\) −0.618140 9.43099i −0.0293026 0.447072i
\(446\) −14.6631 + 10.6782i −0.694319 + 0.505629i
\(447\) 26.8539 + 3.60282i 1.27014 + 0.170408i
\(448\) −0.00316510 + 0.162069i −0.000149537 + 0.00765703i
\(449\) 11.7046 0.552373 0.276186 0.961104i \(-0.410929\pi\)
0.276186 + 0.961104i \(0.410929\pi\)
\(450\) −1.64118 + 10.1114i −0.0773659 + 0.476656i
\(451\) −2.41730 + 1.61519i −0.113826 + 0.0760561i
\(452\) −18.4935 36.0975i −0.869862 1.69788i
\(453\) −10.4517 + 21.0628i −0.491064 + 0.989616i
\(454\) 12.7810 34.7630i 0.599841 1.63151i
\(455\) −0.137717 0.0181308i −0.00645627 0.000849985i
\(456\) 8.25368 16.2332i 0.386514 0.760189i
\(457\) −12.5181 + 1.64804i −0.585573 + 0.0770921i −0.417491 0.908681i \(-0.637090\pi\)
−0.168081 + 0.985773i \(0.553757\pi\)
\(458\) −6.92470 1.55883i −0.323570 0.0728393i
\(459\) 15.8450 10.4184i 0.739580 0.486290i
\(460\) 11.4136 + 19.0881i 0.532162 + 0.889986i
\(461\) 9.81915 + 28.9263i 0.457323 + 1.34723i 0.894183 + 0.447701i \(0.147757\pi\)
−0.436860 + 0.899530i \(0.643909\pi\)
\(462\) 0.0509778 0.0194891i 0.00237170 0.000906714i
\(463\) −10.8564 40.5168i −0.504542 1.88298i −0.468172 0.883637i \(-0.655087\pi\)
−0.0363701 0.999338i \(-0.511580\pi\)
\(464\) 1.17115 33.6069i 0.0543695 1.56016i
\(465\) −15.3842 + 1.98675i −0.713424 + 0.0921335i
\(466\) 19.1612 + 5.65269i 0.887624 + 0.261856i
\(467\) 1.82968 9.19844i 0.0846677 0.425653i −0.915082 0.403268i \(-0.867874\pi\)
0.999749 0.0223848i \(-0.00712589\pi\)
\(468\) −25.3946 3.07566i −1.17386 0.142172i
\(469\) −0.147283 0.0984112i −0.00680088 0.00454421i
\(470\) 1.97980 + 1.03882i 0.0913212 + 0.0479172i
\(471\) 23.7728 + 13.8036i 1.09539 + 0.636035i
\(472\) 0.187840 19.2385i 0.00864604 0.885523i
\(473\) 1.82951 13.8965i 0.0841209 0.638962i
\(474\) −11.9885 11.1123i −0.550650 0.510406i
\(475\) 6.74800 5.91783i 0.309619 0.271529i
\(476\) 0.139302 0.0496775i 0.00638491 0.00227696i
\(477\) −26.7752 5.46344i −1.22595 0.250154i
\(478\) −9.26573 + 3.56857i −0.423804 + 0.163223i
\(479\) −1.63404 + 0.943414i −0.0746612 + 0.0431057i −0.536866 0.843668i \(-0.680392\pi\)
0.462205 + 0.886773i \(0.347059\pi\)
\(480\) 5.98426 14.5739i 0.273143 0.665206i
\(481\) 14.5473 + 8.39889i 0.663300 + 0.382956i
\(482\) −1.71510 0.269696i −0.0781208 0.0122843i
\(483\) 0.135339 0.201472i 0.00615816 0.00916728i
\(484\) −19.5179 + 1.57966i −0.887179 + 0.0718025i
\(485\) 1.03622 + 5.20945i 0.0470525 + 0.236549i
\(486\) −21.1259 + 6.30053i −0.958290 + 0.285798i
\(487\) −26.5599 + 11.0015i −1.20354 + 0.498524i −0.892142 0.451754i \(-0.850798\pi\)
−0.311401 + 0.950278i \(0.600798\pi\)
\(488\) −28.1151 3.98104i −1.27271 0.180213i
\(489\) −0.0374865 + 15.1897i −0.00169520 + 0.686900i
\(490\) 15.9041 0.642536i 0.718473 0.0290268i
\(491\) 27.1809 13.4041i 1.22666 0.604920i 0.290625 0.956837i \(-0.406137\pi\)
0.936031 + 0.351917i \(0.114470\pi\)
\(492\) 8.81556 2.48386i 0.397436 0.111981i
\(493\) −29.0524 + 9.86195i −1.30845 + 0.444160i
\(494\) 15.4459 + 16.2405i 0.694945 + 0.730695i
\(495\) −5.30427 0.0261810i −0.238409 0.00117675i
\(496\) −22.1668 2.23047i −0.995319 0.100151i
\(497\) 0.0357768 + 0.00958637i 0.00160481 + 0.000430007i
\(498\) 7.87652 + 1.25849i 0.352955 + 0.0563945i
\(499\) −15.0693 + 17.1833i −0.674595 + 0.769228i −0.983312 0.181926i \(-0.941767\pi\)
0.308717 + 0.951154i \(0.400100\pi\)
\(500\) 16.6004 17.1166i 0.742393 0.765477i
\(501\) −5.54804 + 6.29492i −0.247868 + 0.281236i
\(502\) 22.1925 6.91796i 0.990502 0.308764i
\(503\) 10.1606 24.5299i 0.453039 1.09373i −0.518121 0.855307i \(-0.673368\pi\)
0.971161 0.238427i \(-0.0766317\pi\)
\(504\) −0.171711 + 0.00872195i −0.00764863 + 0.000388506i
\(505\) −8.25482 19.9289i −0.367335 0.886824i
\(506\) 8.26074 6.88590i 0.367235 0.306115i
\(507\) 3.98517 8.03110i 0.176988 0.356674i
\(508\) 9.53471 2.04877i 0.423034 0.0908997i
\(509\) 0.434310 + 6.62630i 0.0192505 + 0.293705i 0.996619 + 0.0821617i \(0.0261824\pi\)
−0.977369 + 0.211544i \(0.932151\pi\)
\(510\) −14.3687 0.395800i −0.636257 0.0175263i
\(511\) 0.0577990 + 0.100111i 0.00255688 + 0.00442864i
\(512\) 13.1167 18.4378i 0.579682 0.814842i
\(513\) 17.7901 + 7.52370i 0.785454 + 0.332180i
\(514\) 0.359797 0.810536i 0.0158700 0.0357512i
\(515\) 1.79847 + 0.886908i 0.0792501 + 0.0390818i
\(516\) −19.0197 + 39.8500i −0.837297 + 1.75430i
\(517\) 0.347516 1.02375i 0.0152837 0.0450245i
\(518\) 0.105968 + 0.0389603i 0.00465598 + 0.00171182i
\(519\) −4.09197 1.10727i −0.179617 0.0486038i
\(520\) 14.4525 + 12.9263i 0.633782 + 0.566854i
\(521\) −3.26619 + 7.88529i −0.143095 + 0.345461i −0.979136 0.203205i \(-0.934864\pi\)
0.836042 + 0.548666i \(0.184864\pi\)
\(522\) 35.6447 1.26388i 1.56013 0.0553187i
\(523\) 18.2188 27.2664i 0.796653 1.19228i −0.181296 0.983429i \(-0.558029\pi\)
0.977948 0.208846i \(-0.0669709\pi\)
\(524\) 6.65679 + 23.4044i 0.290803 + 1.02243i
\(525\) −0.0801728 0.0274358i −0.00349903 0.00119740i
\(526\) −19.4641 + 31.8418i −0.848677 + 1.38837i
\(527\) 5.26088 + 19.6339i 0.229168 + 0.855265i
\(528\) −7.41125 1.76387i −0.322533 0.0767626i
\(529\) 6.42549 23.9803i 0.279369 1.04262i
\(530\) 14.2751 + 15.0094i 0.620069 + 0.651967i
\(531\) 20.3691 1.23413i 0.883945 0.0535565i
\(532\) 0.120903 + 0.0898658i 0.00524182 + 0.00389617i
\(533\) −0.737222 + 11.2478i −0.0319327 + 0.487198i
\(534\) 14.3354 + 1.33688i 0.620351 + 0.0578526i
\(535\) −0.750181 + 0.575634i −0.0324332 + 0.0248868i
\(536\) 9.23884 + 22.9354i 0.399057 + 0.990657i
\(537\) 9.49950 + 9.54650i 0.409934 + 0.411962i
\(538\) 7.24593 + 0.657705i 0.312394 + 0.0283557i
\(539\) −1.50156 7.54887i −0.0646769 0.325153i
\(540\) 15.8655 + 5.24615i 0.682744 + 0.225758i
\(541\) 14.5950 + 21.8430i 0.627489 + 0.939104i 0.999939 + 0.0110517i \(0.00351793\pi\)
−0.372450 + 0.928052i \(0.621482\pi\)
\(542\) 13.0403 16.1399i 0.560127 0.693270i
\(543\) −32.1918 + 13.2413i −1.38148 + 0.568238i
\(544\) −19.9705 5.23258i −0.856228 0.224345i
\(545\) −14.7705 8.52774i −0.632698 0.365288i
\(546\) 0.0603739 0.202806i 0.00258376 0.00867931i
\(547\) −15.5818 + 31.5968i −0.666230 + 1.35098i 0.256879 + 0.966444i \(0.417306\pi\)
−0.923109 + 0.384538i \(0.874361\pi\)
\(548\) −12.3612 + 4.40820i −0.528043 + 0.188309i
\(549\) 2.11812 30.0434i 0.0903993 1.28222i
\(550\) −3.06862 2.16359i −0.130846 0.0922557i
\(551\) −24.7928 19.0242i −1.05621 0.810459i
\(552\) −31.4569 + 12.5814i −1.33890 + 0.535498i
\(553\) 0.107277 0.0823168i 0.00456190 0.00350047i
\(554\) −1.22941 30.4305i −0.0522327 1.29287i
\(555\) −8.23225 7.25551i −0.349440 0.307979i
\(556\) 4.73494 + 5.97892i 0.200806 + 0.253563i
\(557\) −1.15163 + 5.78964i −0.0487962 + 0.245315i −0.997483 0.0709012i \(-0.977412\pi\)
0.948687 + 0.316216i \(0.102412\pi\)
\(558\) 0.708961 23.6195i 0.0300127 0.999894i
\(559\) −38.4272 38.4272i −1.62530 1.62530i
\(560\) 0.110527 + 0.0690537i 0.00467061 + 0.00291805i
\(561\) 0.890237 + 6.89344i 0.0375858 + 0.291041i
\(562\) 16.4532 + 10.0575i 0.694038 + 0.424249i
\(563\) −27.1860 + 30.9997i −1.14575 + 1.30648i −0.200668 + 0.979659i \(0.564311\pi\)
−0.945086 + 0.326822i \(0.894022\pi\)
\(564\) −2.03851 + 2.72848i −0.0858369 + 0.114890i
\(565\) −32.5388 2.13271i −1.36892 0.0897237i
\(566\) −16.8134 3.78489i −0.706720 0.159091i
\(567\) −0.0220171 0.181028i −0.000924632 0.00760247i
\(568\) −3.37086 3.92029i −0.141438 0.164492i
\(569\) −20.2296 + 26.3637i −0.848068 + 1.10522i 0.145202 + 0.989402i \(0.453617\pi\)
−0.993270 + 0.115822i \(0.963050\pi\)
\(570\) −7.79595 12.3931i −0.326536 0.519091i
\(571\) −5.02189 + 14.7940i −0.210160 + 0.619110i 0.789824 + 0.613334i \(0.210172\pi\)
−0.999983 + 0.00577632i \(0.998161\pi\)
\(572\) 5.08908 7.87467i 0.212785 0.329257i
\(573\) 1.51794 22.3154i 0.0634131 0.932238i
\(574\) 0.00800290 + 0.0753388i 0.000334035 + 0.00314458i
\(575\) −16.6976 −0.696339
\(576\) 20.4849 + 12.5048i 0.853536 + 0.521034i
\(577\) −39.9536 −1.66329 −0.831644 0.555308i \(-0.812600\pi\)
−0.831644 + 0.555308i \(0.812600\pi\)
\(578\) −0.549922 5.17694i −0.0228738 0.215332i
\(579\) −30.2124 + 14.8065i −1.25558 + 0.615338i
\(580\) −22.7066 14.6743i −0.942840 0.609319i
\(581\) −0.0212092 + 0.0624803i −0.000879906 + 0.00259212i
\(582\) −8.08549 + 0.306675i −0.335155 + 0.0127121i
\(583\) 6.09750 7.94641i 0.252532 0.329107i
\(584\) 1.21252 16.0907i 0.0501744 0.665836i
\(585\) −12.6001 + 16.2540i −0.520951 + 0.672022i
\(586\) 14.0701 + 3.16734i 0.581231 + 0.130842i
\(587\) −43.2032 2.83169i −1.78319 0.116876i −0.862225 0.506525i \(-0.830930\pi\)
−0.920963 + 0.389649i \(0.872596\pi\)
\(588\) −2.85599 + 24.0785i −0.117779 + 0.992981i
\(589\) −13.6512 + 15.5662i −0.562489 + 0.641396i
\(590\) −13.1977 8.06742i −0.543339 0.332131i
\(591\) 26.1708 + 10.9160i 1.07652 + 0.449026i
\(592\) −9.15288 12.8299i −0.376181 0.527306i
\(593\) −31.3257 31.3257i −1.28639 1.28639i −0.936963 0.349430i \(-0.886375\pi\)
−0.349430 0.936963i \(-0.613625\pi\)
\(594\) 1.31426 7.97279i 0.0539249 0.327127i
\(595\) 0.0231972 0.116620i 0.000950991 0.00478095i
\(596\) 24.5264 19.4234i 1.00464 0.795614i
\(597\) −2.37363 + 11.7810i −0.0971463 + 0.482166i
\(598\) −1.68320 41.6625i −0.0688310 1.70371i
\(599\) −18.1635 + 13.9374i −0.742141 + 0.569465i −0.909139 0.416492i \(-0.863259\pi\)
0.166998 + 0.985957i \(0.446593\pi\)
\(600\) 7.08538 + 9.47150i 0.289259 + 0.386672i
\(601\) 33.8643 + 25.9850i 1.38135 + 1.05995i 0.990205 + 0.139622i \(0.0445889\pi\)
0.391149 + 0.920327i \(0.372078\pi\)
\(602\) −0.298525 0.210480i −0.0121670 0.00857854i
\(603\) −23.5785 + 11.4833i −0.960190 + 0.467636i
\(604\) 9.11990 + 25.5734i 0.371083 + 1.04057i
\(605\) −6.96309 + 14.1198i −0.283090 + 0.574050i
\(606\) 31.9625 7.62760i 1.29839 0.309850i
\(607\) 15.7875 + 9.11489i 0.640793 + 0.369962i 0.784920 0.619597i \(-0.212704\pi\)
−0.144127 + 0.989559i \(0.546037\pi\)
\(608\) −6.86960 19.8745i −0.278599 0.806017i
\(609\) −0.0392326 + 0.292422i −0.00158978 + 0.0118496i
\(610\) −14.3473 + 17.7577i −0.580906 + 0.718988i
\(611\) −2.32880 3.48529i −0.0942130 0.141000i
\(612\) 4.04890 21.5193i 0.163667 0.869867i
\(613\) −6.46913 32.5225i −0.261286 1.31357i −0.859047 0.511897i \(-0.828943\pi\)
0.597761 0.801674i \(-0.296057\pi\)
\(614\) 37.6427 + 3.41679i 1.51914 + 0.137891i
\(615\) 1.92336 7.10786i 0.0775573 0.286617i
\(616\) 0.0246837 0.0579839i 0.000994533 0.00233624i
\(617\) −7.33348 + 5.62718i −0.295235 + 0.226542i −0.745748 0.666228i \(-0.767908\pi\)
0.450513 + 0.892770i \(0.351241\pi\)
\(618\) −1.76641 + 2.49222i −0.0710556 + 0.100252i
\(619\) 1.51869 23.1707i 0.0610412 0.931309i −0.852026 0.523500i \(-0.824626\pi\)
0.913067 0.407809i \(-0.133707\pi\)
\(620\) −10.6851 + 14.3755i −0.429125 + 0.577334i
\(621\) −15.6545 32.3457i −0.628193 1.29799i
\(622\) 3.32216 + 3.49306i 0.133206 + 0.140059i
\(623\) −0.0308249 + 0.115040i −0.00123497 + 0.00460898i
\(624\) −22.9183 + 18.6336i −0.917465 + 0.745942i
\(625\) −1.83710 6.85614i −0.0734838 0.274245i
\(626\) 20.2025 33.0498i 0.807456 1.32093i
\(627\) −5.33441 + 4.65492i −0.213036 + 0.185899i
\(628\) 30.5315 8.68391i 1.21834 0.346526i
\(629\) −7.98860 + 11.9558i −0.318526 + 0.476709i
\(630\) −0.0648297 + 0.122085i −0.00258288 + 0.00486398i
\(631\) 0.100640 0.242967i 0.00400643 0.00967238i −0.921864 0.387514i \(-0.873334\pi\)
0.925870 + 0.377842i \(0.123334\pi\)
\(632\) −18.8460 + 1.05055i −0.749655 + 0.0417888i
\(633\) 5.69622 + 21.4704i 0.226405 + 0.853372i
\(634\) −15.6173 5.74188i −0.620244 0.228039i
\(635\) 2.52030 7.42457i 0.100015 0.294635i
\(636\) −26.0093 + 17.8661i −1.03133 + 0.708437i
\(637\) −26.7643 13.1987i −1.06044 0.522951i
\(638\) −5.30410 + 11.9489i −0.209991 + 0.473060i
\(639\) 3.89677 3.85849i 0.154154 0.152640i
\(640\) −7.31069 16.6584i −0.288980 0.658480i
\(641\) 4.88761 + 8.46558i 0.193049 + 0.334370i 0.946259 0.323409i \(-0.104829\pi\)
−0.753210 + 0.657780i \(0.771496\pi\)
\(642\) −0.685606 1.26683i −0.0270587 0.0499978i
\(643\) −2.02258 30.8586i −0.0797628 1.21694i −0.830757 0.556636i \(-0.812092\pi\)
0.750994 0.660309i \(-0.229575\pi\)
\(644\) −0.0588763 0.274002i −0.00232005 0.0107972i
\(645\) 19.6502 + 29.5663i 0.773727 + 1.16417i
\(646\) −14.7371 + 12.2844i −0.579822 + 0.483321i
\(647\) 1.80659 + 4.36148i 0.0710242 + 0.171468i 0.955405 0.295298i \(-0.0954191\pi\)
−0.884381 + 0.466766i \(0.845419\pi\)
\(648\) −11.7049 + 22.6052i −0.459812 + 0.888016i
\(649\) −2.86234 + 6.91031i −0.112357 + 0.271253i
\(650\) −13.8980 + 4.33233i −0.545123 + 0.169928i
\(651\) 0.191621 + 0.0386076i 0.00751021 + 0.00151315i
\(652\) 12.5907 + 12.2111i 0.493091 + 0.478222i
\(653\) 16.6686 19.0069i 0.652292 0.743796i −0.327272 0.944930i \(-0.606129\pi\)
0.979564 + 0.201134i \(0.0644626\pi\)
\(654\) 16.3781 20.1692i 0.640436 0.788678i
\(655\) 18.8964 + 5.06327i 0.738342 + 0.197838i
\(656\) 5.00500 9.31637i 0.195413 0.363743i
\(657\) 17.1149 + 0.0844761i 0.667716 + 0.00329573i
\(658\) −0.0194163 0.0204151i −0.000756927 0.000795865i
\(659\) −18.6814 + 6.34149i −0.727725 + 0.247029i −0.660624 0.750717i \(-0.729708\pi\)
−0.0671010 + 0.997746i \(0.521375\pi\)
\(660\) −4.27501 + 4.38623i −0.166405 + 0.170734i
\(661\) −14.5576 + 7.17903i −0.566226 + 0.279232i −0.702788 0.711400i \(-0.748062\pi\)
0.136561 + 0.990632i \(0.456395\pi\)
\(662\) 17.9923 0.726903i 0.699292 0.0282519i
\(663\) 23.3053 + 13.5321i 0.905102 + 0.525544i
\(664\) 7.36148 5.53532i 0.285681 0.214812i
\(665\) 0.111895 0.0463484i 0.00433910 0.00179731i
\(666\) 12.8929 10.6397i 0.499589 0.412280i
\(667\) 11.3423 + 57.0215i 0.439175 + 2.20788i
\(668\) 0.781604 + 9.65736i 0.0302412 + 0.373655i
\(669\) −22.1647 1.50770i −0.856937 0.0582909i
\(670\) 19.6381 + 3.08805i 0.758685 + 0.119302i
\(671\) 9.56028 + 5.51963i 0.369071 + 0.213083i
\(672\) −0.130441 + 0.149665i −0.00503186 + 0.00577347i
\(673\) −8.39339 + 4.84593i −0.323541 + 0.186797i −0.652970 0.757384i \(-0.726477\pi\)
0.329429 + 0.944181i \(0.393144\pi\)
\(674\) −0.508258 + 0.195749i −0.0195773 + 0.00753996i
\(675\) −9.49353 + 8.20206i −0.365406 + 0.315697i
\(676\) −3.47736 9.75098i −0.133744 0.375038i
\(677\) 37.4233 32.8194i 1.43830 1.26135i 0.526832 0.849970i \(-0.323380\pi\)
0.911463 0.411381i \(-0.134954\pi\)
\(678\) 11.0289 48.4347i 0.423561 1.86012i
\(679\) 0.00873641 0.0663596i 0.000335273 0.00254665i
\(680\) −11.8505 + 11.6213i −0.454445 + 0.445657i
\(681\) 39.3407 22.5841i 1.50754 0.865425i
\(682\) 7.66957 + 4.02430i 0.293683 + 0.154099i
\(683\) −18.0260 12.0446i −0.689744 0.460872i 0.160655 0.987011i \(-0.448639\pi\)
−0.850399 + 0.526138i \(0.823639\pi\)
\(684\) 20.5164 8.74856i 0.784464 0.334510i
\(685\) −2.05843 + 10.3484i −0.0786485 + 0.395393i
\(686\) −0.384771 0.113510i −0.0146906 0.00433384i
\(687\) −5.27506 6.90983i −0.201256 0.263627i
\(688\) 17.8595 + 47.7570i 0.680889 + 1.82072i
\(689\) −10.0512 37.5115i −0.382920 1.42908i
\(690\) −4.29760 + 26.8973i −0.163607 + 1.02396i
\(691\) −14.2645 42.0218i −0.542646 1.59858i −0.779072 0.626935i \(-0.784309\pi\)
0.236425 0.971650i \(-0.424024\pi\)
\(692\) −4.20117 + 2.51207i −0.159705 + 0.0954944i
\(693\) 0.0631878 + 0.0217978i 0.00240031 + 0.000828029i
\(694\) −3.40194 0.765816i −0.129136 0.0290700i
\(695\) 6.07928 0.800353i 0.230600 0.0303591i
\(696\) 27.5317 30.6299i 1.04359 1.16103i
\(697\) −9.56640 1.25944i −0.362353 0.0477047i
\(698\) 3.78661 10.2992i 0.143325 0.389831i
\(699\) 13.5431 + 20.3774i 0.512248 + 0.770744i
\(700\) −0.0870829 + 0.0446145i −0.00329142 + 0.00168627i
\(701\) −10.2895 + 6.87526i −0.388631 + 0.259675i −0.734501 0.678608i \(-0.762584\pi\)
0.345870 + 0.938282i \(0.387584\pi\)
\(702\) −21.4221 22.8607i −0.808525 0.862821i
\(703\) −14.6463 −0.552396
\(704\) −7.40831 + 4.74350i −0.279211 + 0.178777i
\(705\) 1.04164 + 2.53241i 0.0392306 + 0.0953760i
\(706\) −25.1131 + 18.2883i −0.945146 + 0.688291i
\(707\) 0.0177780 + 0.271240i 0.000668612 + 0.0102010i
\(708\) 15.3077 17.9139i 0.575297 0.673245i
\(709\) −4.47880 5.10710i −0.168205 0.191801i 0.661596 0.749861i \(-0.269879\pi\)
−0.829801 + 0.558059i \(0.811546\pi\)
\(710\) −4.09594 + 0.708488i −0.153718 + 0.0265891i
\(711\) −2.51517 19.8617i −0.0943262 0.744871i
\(712\) 12.6057 10.8390i 0.472417 0.406208i
\(713\) 38.1884 5.02760i 1.43017 0.188285i
\(714\) 0.169853 + 0.0629244i 0.00635659 + 0.00235489i
\(715\) −3.33402 6.76072i −0.124685 0.252837i
\(716\) 15.5492 0.238041i 0.581102 0.00889599i
\(717\) −11.5057 3.93734i −0.429686 0.147042i
\(718\) −20.5417 + 11.1828i −0.766611 + 0.417337i
\(719\) 0.503371 0.503371i 0.0187726 0.0187726i −0.697658 0.716431i \(-0.745775\pi\)
0.716431 + 0.697658i \(0.245775\pi\)
\(720\) 17.0808 8.97572i 0.636563 0.334505i
\(721\) −0.0178680 0.0178680i −0.000665438 0.000665438i
\(722\) 7.02851 + 2.07347i 0.261574 + 0.0771664i
\(723\) −1.39807 1.60215i −0.0519946 0.0595845i
\(724\) −14.8112 + 37.3651i −0.550454 + 1.38866i
\(725\) 18.2047 8.97758i 0.676107 0.333419i
\(726\) −19.5664 13.8681i −0.726177 0.514693i
\(727\) −4.06595 30.8839i −0.150798 1.14542i −0.884698 0.466165i \(-0.845635\pi\)
0.733900 0.679257i \(-0.237698\pi\)
\(728\) −0.120097 0.212785i −0.00445108 0.00788633i
\(729\) −24.7890 10.7007i −0.918112 0.396321i
\(730\) −10.6028 7.47569i −0.392426 0.276688i
\(731\) 34.9751 30.6723i 1.29360 1.13446i
\(732\) −23.2641 25.8504i −0.859865 0.955457i
\(733\) 9.29611 0.609299i 0.343360 0.0225050i 0.107252 0.994232i \(-0.465795\pi\)
0.236108 + 0.971727i \(0.424128\pi\)
\(734\) 2.26444 14.4004i 0.0835820 0.531530i
\(735\) 15.4365 + 11.9055i 0.569386 + 0.439142i
\(736\) −14.7703 + 36.2254i −0.544440 + 1.33528i
\(737\) 9.61277i 0.354091i
\(738\) 10.2299 + 4.60163i 0.376567 + 0.169388i
\(739\) 18.6649 + 27.9341i 0.686601 + 1.02757i 0.997033 + 0.0769754i \(0.0245263\pi\)
−0.310432 + 0.950596i \(0.600474\pi\)
\(740\) −12.6295 + 1.02215i −0.464271 + 0.0375751i
\(741\) 1.72770 + 27.3955i 0.0634688 + 1.00640i
\(742\) −0.109542 0.236924i −0.00402141 0.00869774i
\(743\) −5.95688 + 45.2470i −0.218537 + 1.65995i 0.433045 + 0.901372i \(0.357439\pi\)
−0.651582 + 0.758578i \(0.725894\pi\)
\(744\) −19.0565 19.5285i −0.698646 0.715949i
\(745\) −3.28317 24.9381i −0.120286 0.913662i
\(746\) 23.6374 + 37.3711i 0.865427 + 1.36825i
\(747\) 6.40488 + 7.37649i 0.234342 + 0.269892i
\(748\) 6.44147 + 4.78786i 0.235523 + 0.175061i
\(749\) 0.0112833 0.00383015i 0.000412282 0.000139951i
\(750\) 29.0474 3.01309i 1.06066 0.110023i
\(751\) −34.5296 + 9.25218i −1.26000 + 0.337617i −0.826193 0.563388i \(-0.809498\pi\)
−0.433810 + 0.901004i \(0.642831\pi\)
\(752\) 0.632446 + 3.88160i 0.0230629 + 0.141547i
\(753\) 26.2760 + 10.9599i 0.957552 + 0.399403i
\(754\) 24.2352 + 44.5180i 0.882595 + 1.62125i
\(755\) 21.4093 + 4.25858i 0.779166 + 0.154986i
\(756\) −0.168067 0.126865i −0.00611255 0.00461403i
\(757\) −17.1523 + 25.6702i −0.623409 + 0.932998i 0.376569 + 0.926389i \(0.377104\pi\)
−0.999978 + 0.00660929i \(0.997896\pi\)
\(758\) 36.9729 11.5254i 1.34292 0.418620i
\(759\) 13.1713 + 0.0325053i 0.478087 + 0.00117987i
\(760\) −16.5484 3.45998i −0.600275 0.125507i
\(761\) 18.8519 + 2.48190i 0.683381 + 0.0899689i 0.464220 0.885720i \(-0.346335\pi\)
0.219161 + 0.975689i \(0.429668\pi\)
\(762\) 10.5628 + 5.57572i 0.382651 + 0.201987i
\(763\) 0.141708 + 0.161587i 0.00513018 + 0.00584985i
\(764\) −17.3242 19.1549i −0.626769 0.693001i
\(765\) −13.1784 11.6728i −0.476468 0.422029i
\(766\) −15.3159 + 34.5030i −0.553387 + 1.24665i
\(767\) 14.5000 + 25.1148i 0.523566 + 0.906842i
\(768\) 26.8159 6.99344i 0.967635 0.252354i
\(769\) 10.1503 17.5808i 0.366028 0.633979i −0.622913 0.782291i \(-0.714051\pi\)
0.988941 + 0.148312i \(0.0473841\pi\)
\(770\) −0.0298262 0.0409567i −0.00107486 0.00147598i
\(771\) 0.975284 0.477968i 0.0351240 0.0172136i
\(772\) −11.9235 + 36.9756i −0.429136 + 1.33078i
\(773\) −39.4821 + 7.85348i −1.42007 + 0.282470i −0.844621 0.535365i \(-0.820174\pi\)
−0.575453 + 0.817835i \(0.695174\pi\)
\(774\) −49.1988 + 22.4531i −1.76841 + 0.807059i
\(775\) −5.14626 12.4242i −0.184859 0.446290i
\(776\) −6.22858 + 6.96399i −0.223593 + 0.249993i
\(777\) 0.0688432 + 0.119922i 0.00246974 + 0.00430219i
\(778\) −20.2702 18.6960i −0.726723 0.670283i
\(779\) −4.34692 8.81469i −0.155745 0.315819i
\(780\) 3.40171 + 23.5026i 0.121801 + 0.841527i
\(781\) 0.646100 + 1.90335i 0.0231193 + 0.0681072i
\(782\) 35.6815 + 0.894762i 1.27597 + 0.0319966i
\(783\) 34.4583 + 26.8484i 1.23144 + 0.959485i
\(784\) 17.7163 + 21.6804i 0.632724 + 0.774302i
\(785\) 6.60513 24.6507i 0.235747 0.879820i
\(786\) −12.1583 + 27.2084i −0.433671 + 0.970490i
\(787\) −28.2638 24.7867i −1.00750 0.883551i −0.0142877 0.999898i \(-0.504548\pi\)
−0.993209 + 0.116347i \(0.962881\pi\)
\(788\) 30.0551 12.9917i 1.07067 0.462811i
\(789\) −43.3175 + 14.5852i −1.54214 + 0.519246i
\(790\) −7.05097 + 13.4378i −0.250862 + 0.478096i
\(791\) 0.379634 + 0.157250i 0.0134982 + 0.00559116i
\(792\) −5.57058 7.48501i −0.197942 0.265968i
\(793\) 39.5432 16.3793i 1.40422 0.581647i
\(794\) 43.6105 + 3.95848i 1.54768 + 0.140481i
\(795\) 1.59674 + 25.3188i 0.0566305 + 0.897965i
\(796\) 7.88532 + 11.4189i 0.279488 + 0.404732i
\(797\) −42.1690 + 2.76390i −1.49370 + 0.0979025i −0.790226 0.612815i \(-0.790037\pi\)
−0.703477 + 0.710718i \(0.748370\pi\)
\(798\) 0.0428268 + 0.179460i 0.00151605 + 0.00635283i
\(799\) 3.10744 1.79408i 0.109933 0.0634701i
\(800\) 13.5511 + 1.70766i 0.479105 + 0.0603750i
\(801\) 12.4070 + 12.5300i 0.438378 + 0.442727i
\(802\) −10.6278 + 4.09316i −0.375281 + 0.144534i
\(803\) −2.77459 + 5.62632i −0.0979133 + 0.198548i
\(804\) −9.36527 + 28.7988i −0.330288 + 1.01566i
\(805\) −0.213362 0.0724268i −0.00752004 0.00255271i
\(806\) 30.4810 14.0929i 1.07365 0.496403i
\(807\) 6.28538 + 6.31648i 0.221256 + 0.222351i
\(808\) 19.2917 32.6733i 0.678679 1.14944i
\(809\) −41.4331 17.1622i −1.45671 0.603389i −0.492926 0.870071i \(-0.664073\pi\)
−0.963785 + 0.266682i \(0.914073\pi\)
\(810\) 10.7689 + 17.4037i 0.378379 + 0.611503i
\(811\) −30.7854 20.5702i −1.08102 0.722316i −0.118346 0.992972i \(-0.537759\pi\)
−0.962676 + 0.270657i \(0.912759\pi\)
\(812\) 0.211509 + 0.267078i 0.00742252 + 0.00937260i
\(813\) 24.9368 4.89630i 0.874573 0.171721i
\(814\) 1.43693 + 5.95615i 0.0503645 + 0.208763i
\(815\) 13.6210 3.64972i 0.477121 0.127844i
\(816\) −14.6334 20.6195i −0.512270 0.721828i
\(817\) 45.7692 + 12.2638i 1.60126 + 0.429057i
\(818\) 1.38916 55.3970i 0.0485707 1.93691i
\(819\) 0.216190 0.142915i 0.00755431 0.00499387i
\(820\) −4.36353 7.29755i −0.152381 0.254842i
\(821\) 18.6668 + 1.22349i 0.651476 + 0.0427000i 0.387558 0.921845i \(-0.373319\pi\)
0.263918 + 0.964545i \(0.414985\pi\)
\(822\) −15.0721 5.58368i −0.525700 0.194753i
\(823\) 30.3308 + 39.5279i 1.05727 + 1.37786i 0.922064 + 0.387038i \(0.126502\pi\)
0.135203 + 0.990818i \(0.456831\pi\)
\(824\) 0.654333 + 3.46608i 0.0227948 + 0.120747i
\(825\) −1.17922 4.44475i −0.0410551 0.154746i
\(826\) 0.124805 + 0.149724i 0.00434252 + 0.00520955i
\(827\) 40.9925 8.15391i 1.42545 0.283539i 0.578703 0.815538i \(-0.303559\pi\)
0.846745 + 0.531999i \(0.178559\pi\)
\(828\) −39.4280 12.9295i −1.37022 0.449332i
\(829\) −4.86706 + 3.25207i −0.169040 + 0.112949i −0.637212 0.770688i \(-0.719913\pi\)
0.468172 + 0.883637i \(0.344913\pi\)
\(830\) −0.782194 7.36353i −0.0271504 0.255592i
\(831\) 22.7797 29.5359i 0.790220 1.02459i
\(832\) −2.89480 + 33.9838i −0.100359 + 1.17818i
\(833\) 12.7725 22.1225i 0.442539 0.766501i
\(834\) −0.257204 + 9.33727i −0.00890624 + 0.323323i
\(835\) 6.98638 + 3.44530i 0.241774 + 0.119230i
\(836\) −0.409746 + 8.16482i −0.0141714 + 0.282386i
\(837\) 19.2427 21.6171i 0.665123 0.747195i
\(838\) −51.4667 + 8.90236i −1.77789 + 0.307527i
\(839\) 19.0532 24.8307i 0.657791 0.857249i −0.338705 0.940893i \(-0.609989\pi\)
0.996496 + 0.0836432i \(0.0266556\pi\)
\(840\) 0.0494540 + 0.151760i 0.00170632 + 0.00523622i
\(841\) −25.3699 33.0627i −0.874824 1.14009i
\(842\) −14.8783 + 16.1311i −0.512739 + 0.555913i
\(843\) 7.53643 + 22.3829i 0.259568 + 0.770909i
\(844\) 22.4069 + 12.4833i 0.771277 + 0.429692i
\(845\) −8.16324 1.62377i −0.280824 0.0558594i
\(846\) −4.05979 + 0.958253i −0.139579 + 0.0329454i
\(847\) 0.140281 0.140281i 0.00482011 0.00482011i
\(848\) −6.01106 + 35.9366i −0.206421 + 1.23407i
\(849\) −12.8080 16.7773i −0.439570 0.575796i
\(850\) −2.92250 12.1139i −0.100241 0.415503i
\(851\) 20.4860 + 17.9658i 0.702253 + 0.615859i
\(852\) −0.0813020 6.33170i −0.00278536 0.216920i
\(853\) −3.19925 + 48.8111i −0.109540 + 1.67126i 0.490614 + 0.871377i \(0.336772\pi\)
−0.600154 + 0.799884i \(0.704894\pi\)
\(854\) 0.243130 0.153781i 0.00831974 0.00526227i
\(855\) 2.42829 17.7666i 0.0830458 0.607606i
\(856\) −1.60234 0.446158i −0.0547669 0.0152494i
\(857\) 24.5500 + 18.8379i 0.838612 + 0.643490i 0.936095 0.351747i \(-0.114412\pi\)
−0.0974826 + 0.995237i \(0.531079\pi\)
\(858\) 10.9713 3.39034i 0.374554 0.115744i
\(859\) 9.60034 + 3.25888i 0.327559 + 0.111191i 0.480375 0.877063i \(-0.340501\pi\)
−0.152815 + 0.988255i \(0.548834\pi\)
\(860\) 40.3227 + 7.38092i 1.37499 + 0.251687i
\(861\) −0.0517416 + 0.0770246i −0.00176335 + 0.00262499i
\(862\) −27.9214 22.5591i −0.951008 0.768367i
\(863\) 26.0543i 0.886899i −0.896299 0.443449i \(-0.853755\pi\)
0.896299 0.443449i \(-0.146245\pi\)
\(864\) 9.39658 + 27.8515i 0.319678 + 0.947526i
\(865\) 3.93542i 0.133808i
\(866\) 10.0053 12.3836i 0.339995 0.420812i
\(867\) 3.55544 5.29277i 0.120749 0.179752i
\(868\) 0.185730 0.128256i 0.00630410 0.00435330i
\(869\) 6.94868 + 2.35876i 0.235718 + 0.0800154i
\(870\) −9.77603 31.6357i −0.331438 1.07255i
\(871\) −29.5687 22.6888i −1.00190 0.768782i
\(872\) −3.62531 29.7810i −0.122769 1.00851i
\(873\) −7.83209 6.07143i −0.265076 0.205487i
\(874\) 19.4342 + 30.7257i 0.657370 + 1.03931i
\(875\) −0.0157996 + 0.241055i −0.000534124 + 0.00814915i
\(876\) 13.7938 14.1527i 0.466051 0.478175i
\(877\) 9.93588 + 8.71353i 0.335511 + 0.294235i 0.810479 0.585768i \(-0.199207\pi\)
−0.474968 + 0.880003i \(0.657540\pi\)
\(878\) −38.2587 + 9.22998i −1.29117 + 0.311497i
\(879\) 10.7182 + 14.0399i 0.361518 + 0.473554i
\(880\) 0.216491 + 7.06914i 0.00729792 + 0.238301i
\(881\) −35.0066 + 35.0066i −1.17940 + 1.17940i −0.199505 + 0.979897i \(0.563933\pi\)
−0.979897 + 0.199505i \(0.936067\pi\)
\(882\) −21.6193 + 20.3593i −0.727961 + 0.685533i
\(883\) 48.6401 + 9.67512i 1.63687 + 0.325594i 0.925941 0.377669i \(-0.123274\pi\)
0.710930 + 0.703263i \(0.248274\pi\)
\(884\) 29.9310 8.51312i 1.00669 0.286327i
\(885\) −6.04521 17.9541i −0.203207 0.603519i
\(886\) −7.84656 7.23717i −0.263610 0.243137i
\(887\) −11.6812 15.2233i −0.392217 0.511147i 0.554952 0.831883i \(-0.312737\pi\)
−0.947169 + 0.320735i \(0.896070\pi\)
\(888\) 1.49791 19.2439i 0.0502664 0.645784i
\(889\) −0.0601476 + 0.0783859i −0.00201729 + 0.00262898i
\(890\) −2.27814 13.1705i −0.0763634 0.441475i
\(891\) 7.50457 6.45139i 0.251412 0.216130i
\(892\) −19.0256 + 17.2073i −0.637024 + 0.576142i
\(893\) 3.27793 + 1.61649i 0.109692 + 0.0540939i
\(894\) 38.3029 + 1.05509i 1.28104 + 0.0352874i
\(895\) 6.25136 10.8277i 0.208960 0.361929i
\(896\) 0.0197596 + 0.228390i 0.000660121 + 0.00762999i
\(897\) 31.1879 40.4378i 1.04133 1.35018i
\(898\) 16.4602 1.74849i 0.549282 0.0583478i
\(899\) −38.9322 + 26.0136i −1.29846 + 0.867604i
\(900\) −0.797501 + 14.4648i −0.0265834 + 0.482162i
\(901\) 32.6043 6.48540i 1.08621 0.216060i
\(902\) −3.15816 + 2.63254i −0.105155 + 0.0876542i
\(903\) −0.114718 0.432398i −0.00381757 0.0143893i
\(904\) −31.3999 48.0013i −1.04434 1.59650i
\(905\) 19.6720 + 25.6371i 0.653919 + 0.852204i
\(906\) −11.5518 + 31.1819i −0.383783 + 1.03595i
\(907\) −22.7827 1.49326i −0.756488 0.0495828i −0.317722 0.948184i \(-0.602918\pi\)
−0.438766 + 0.898601i \(0.644584\pi\)
\(908\) 12.7808 50.7966i 0.424147 1.68574i
\(909\) 36.0065 + 17.9779i 1.19426 + 0.596291i
\(910\) −0.196380 0.00492450i −0.00650994 0.000163246i
\(911\) 38.8556 + 10.4113i 1.28734 + 0.344942i 0.836650 0.547737i \(-0.184511\pi\)
0.450692 + 0.892680i \(0.351177\pi\)
\(912\) 9.18217 24.0618i 0.304052 0.796764i
\(913\) −3.45869 + 0.926754i −0.114466 + 0.0306711i
\(914\) −17.3580 + 4.18766i −0.574153 + 0.138515i
\(915\) −27.4363 + 5.38707i −0.907017 + 0.178091i
\(916\) −9.97108 1.15774i −0.329454 0.0382527i
\(917\) −0.204974 0.136959i −0.00676883 0.00452279i
\(918\) 20.7265 17.0184i 0.684075 0.561692i
\(919\) 13.9901 + 5.79490i 0.461492 + 0.191156i 0.601301 0.799022i \(-0.294649\pi\)
−0.139810 + 0.990178i \(0.544649\pi\)
\(920\) 18.9024 + 25.1386i 0.623195 + 0.828794i
\(921\) 32.6527 + 32.8143i 1.07594 + 1.08127i
\(922\) 18.1298 + 39.2122i 0.597074 + 1.29139i
\(923\) 7.37964 + 2.50505i 0.242904 + 0.0824548i
\(924\) 0.0687788 0.0350229i 0.00226266 0.00115217i
\(925\) 4.20753 8.53203i 0.138343 0.280531i
\(926\) −21.3200 55.3571i −0.700620 1.81915i
\(927\) −3.61852 + 0.950463i −0.118848 + 0.0312173i
\(928\) −3.37337 47.4364i −0.110736 1.55717i
\(929\) −26.8287 + 15.4896i −0.880221 + 0.508196i −0.870731 0.491759i \(-0.836354\pi\)
−0.00948969 + 0.999955i \(0.503021\pi\)
\(930\) −21.3380 + 5.09214i −0.699701 + 0.166978i
\(931\) 25.9639 1.70176i 0.850932 0.0557730i
\(932\) 27.7908 + 5.08700i 0.910318 + 0.166630i
\(933\) 0.371600 + 5.89230i 0.0121656 + 0.192905i
\(934\) 1.19898 13.2091i 0.0392318 0.432215i
\(935\) 5.96152 2.46934i 0.194963 0.0807562i
\(936\) −36.1719 0.531738i −1.18232 0.0173804i
\(937\) 15.0532 + 6.23523i 0.491766 + 0.203696i 0.614764 0.788711i \(-0.289251\pi\)
−0.122999 + 0.992407i \(0.539251\pi\)
\(938\) −0.221825 0.116394i −0.00724285 0.00380040i
\(939\) 44.9608 15.1385i 1.46724 0.494026i
\(940\) 2.93938 + 1.16514i 0.0958719 + 0.0380028i
\(941\) 8.70560 + 7.63461i 0.283794 + 0.248881i 0.789394 0.613888i \(-0.210395\pi\)
−0.505599 + 0.862769i \(0.668729\pi\)
\(942\) 35.4938 + 15.8607i 1.15645 + 0.516769i
\(943\) −4.73235 + 17.6614i −0.154107 + 0.575134i
\(944\) −2.60978 27.0832i −0.0849412 0.881483i
\(945\) −0.156885 + 0.0636274i −0.00510348 + 0.00206980i
\(946\) 0.496912 19.8160i 0.0161560 0.644273i
\(947\) 10.5560 + 31.0970i 0.343024 + 1.01052i 0.972381 + 0.233400i \(0.0749850\pi\)
−0.629357 + 0.777116i \(0.716682\pi\)
\(948\) −18.5195 13.8364i −0.601484 0.449384i
\(949\) 10.7576 + 21.8143i 0.349207 + 0.708122i
\(950\) 8.60568 9.33031i 0.279205 0.302715i
\(951\) −10.1459 17.6739i −0.329005 0.573115i
\(952\) 0.188480 0.0906712i 0.00610867 0.00293867i
\(953\) −15.8175 38.1868i −0.512379 1.23699i −0.942496 0.334219i \(-0.891528\pi\)
0.430117 0.902773i \(-0.358472\pi\)
\(954\) −38.4701 3.68343i −1.24552 0.119255i
\(955\) −20.3655 + 4.05095i −0.659012 + 0.131086i
\(956\) −12.4973 + 6.40265i −0.404192 + 0.207076i
\(957\) −14.3776 + 7.04617i −0.464761 + 0.227770i
\(958\) −2.15702 + 1.57083i −0.0696902 + 0.0507511i
\(959\) 0.0664795 0.115146i 0.00214673 0.00371825i
\(960\) 6.23855 21.3893i 0.201348 0.690337i
\(961\) 0.0106897 + 0.0185151i 0.000344828 + 0.000597260i
\(962\) 21.7126 + 9.63822i 0.700041 + 0.310749i
\(963\) 0.352713 1.72857i 0.0113660 0.0557025i
\(964\) −2.45224 0.123064i −0.0789813 0.00396362i
\(965\) 20.5947 + 23.4837i 0.662966 + 0.755968i
\(966\) 0.160231 0.303548i 0.00515536 0.00976649i
\(967\) 39.8500 + 5.24636i 1.28149 + 0.168711i 0.740351 0.672221i \(-0.234659\pi\)
0.541140 + 0.840932i \(0.317993\pi\)
\(968\) −27.2121 + 5.13716i −0.874631 + 0.165115i
\(969\) −23.4974 0.0579891i −0.754844 0.00186288i
\(970\) 2.23546 + 7.17126i 0.0717762 + 0.230255i
\(971\) 7.99461 11.9648i 0.256559 0.383968i −0.680722 0.732542i \(-0.738334\pi\)
0.937281 + 0.348574i \(0.113334\pi\)
\(972\) −28.7682 + 12.0163i −0.922740 + 0.385424i
\(973\) −0.0757836 0.0150743i −0.00242951 0.000483260i
\(974\) −35.7078 + 19.4390i −1.14415 + 0.622867i
\(975\) −16.4552 6.86361i −0.526989 0.219811i
\(976\) −40.1330 1.39858i −1.28462 0.0447674i
\(977\) 26.8463 7.19344i 0.858889 0.230138i 0.197612 0.980280i \(-0.436682\pi\)
0.661277 + 0.750142i \(0.270015\pi\)
\(978\) 2.21639 + 21.3669i 0.0708724 + 0.683237i
\(979\) −6.12021 + 2.07753i −0.195603 + 0.0663982i
\(980\) 22.2699 3.27943i 0.711387 0.104758i
\(981\) 31.2396 6.05380i 0.997403 0.193283i
\(982\) 36.2221 22.9107i 1.15589 0.731109i
\(983\) 4.14122 + 31.4557i 0.132084 + 1.00328i 0.921214 + 0.389055i \(0.127198\pi\)
−0.789130 + 0.614226i \(0.789468\pi\)
\(984\) 12.0263 4.80997i 0.383384 0.153336i
\(985\) 3.43605 26.0994i 0.109482 0.831595i
\(986\) −39.3832 + 18.2089i −1.25422 + 0.579888i
\(987\) −0.00217181 0.0344375i −6.91296e−5 0.00109616i
\(988\) 24.1477 + 20.5317i 0.768241 + 0.653199i
\(989\) −48.9749 73.2961i −1.55731 2.33068i
\(990\) −7.46332 + 0.755561i −0.237200 + 0.0240133i
\(991\) 2.90749i 0.0923595i 0.998933 + 0.0461797i \(0.0147047\pi\)
−0.998933 + 0.0461797i \(0.985295\pi\)
\(992\) −31.5064 + 0.174679i −1.00033 + 0.00554608i
\(993\) 17.4634 + 13.4688i 0.554185 + 0.427418i
\(994\) 0.0517450 + 0.00813680i 0.00164125 + 0.000258084i
\(995\) 11.1329 0.729687i 0.352936 0.0231326i
\(996\) 11.2648 + 0.593188i 0.356938 + 0.0187959i
\(997\) 1.43544 1.25884i 0.0454607 0.0398680i −0.636314 0.771430i \(-0.719542\pi\)
0.681775 + 0.731562i \(0.261208\pi\)
\(998\) −18.6251 + 26.4160i −0.589566 + 0.836183i
\(999\) 20.4725 + 0.151574i 0.647720 + 0.00479559i
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 576.2.bm.a.13.93 1504
9.7 even 3 inner 576.2.bm.a.205.29 yes 1504
64.5 even 16 inner 576.2.bm.a.517.29 yes 1504
576.133 even 48 inner 576.2.bm.a.133.93 yes 1504
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
576.2.bm.a.13.93 1504 1.1 even 1 trivial
576.2.bm.a.133.93 yes 1504 576.133 even 48 inner
576.2.bm.a.205.29 yes 1504 9.7 even 3 inner
576.2.bm.a.517.29 yes 1504 64.5 even 16 inner